TSTP Solution File: SYN879-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYN879-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.EkJq9ObSgG true
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 1 04:05:57 EDT 2023
% Result : Unsatisfiable 1.22s 1.03s
% Output : Refutation 1.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN879-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.EkJq9ObSgG true
% 0.13/0.33 % Computer : n015.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Sat Aug 26 17:42:23 EDT 2023
% 0.13/0.33 % CPUTime :
% 0.13/0.33 % Running portfolio for 300 s
% 0.13/0.33 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.33 % Number of cores: 8
% 0.13/0.33 % Python version: Python 3.6.8
% 0.13/0.33 % Running in FO mode
% 0.18/0.64 % Total configuration time : 435
% 0.18/0.64 % Estimated wc time : 1092
% 0.18/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.18/0.70 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.18/0.70 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.18/0.71 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.18/0.71 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.18/0.73 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 1.16/0.79 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.16/0.80 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.22/1.03 % Solved by fo/fo13.sh.
% 1.22/1.03 % done 111 iterations in 0.213s
% 1.22/1.03 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.22/1.03 % SZS output start Refutation
% 1.22/1.03 thf(ssNder1_3r1r1r1_type, type, ssNder1_3r1r1r1: $i > $i > $i > $o).
% 1.22/1.03 thf(ssNder1_1r1_type, type, ssNder1_1r1: $i > $o).
% 1.22/1.03 thf(ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 1.22/1.03 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i >
% 1.22/1.03 $i > $i > $i > $i > $i > $o).
% 1.22/1.03 thf(ssPv1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssPv1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 1.22/1.03 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i >
% 1.22/1.03 $i > $i > $i > $i > $i > $i > $o).
% 1.22/1.03 thf(skc19_type, type, skc19: $i).
% 1.22/1.03 thf(ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 1.22/1.03 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i >
% 1.22/1.03 $i > $i > $i > $i > $o).
% 1.22/1.03 thf(ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 1.22/1.03 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 1.22/1.03 thf(ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 1.22/1.03 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 1.22/1.03 thf(ssNder1_5r1r1r1r1r1_type, type, ssNder1_5r1r1r1r1r1: $i > $i > $i > $i >
% 1.22/1.03 $i > $o).
% 1.22/1.03 thf(ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 1.22/1.03 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i >
% 1.22/1.03 $i > $i > $i > $o).
% 1.22/1.03 thf(ssNder1_8r1r1r1r1r1r1r1r1_type, type, ssNder1_8r1r1r1r1r1r1r1r1:
% 1.22/1.03 $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 1.22/1.03 thf(skc22_type, type, skc22: $i).
% 1.22/1.03 thf(skc16_type, type, skc16: $i).
% 1.22/1.03 thf(ssPv10_11r1r1r1r1r1r1r1r1r1r1r1_type, type, ssPv10_11r1r1r1r1r1r1r1r1r1r1r1:
% 1.22/1.03 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 1.22/1.03 thf(ssNder1_10r1r1r1r1r1r1r1r1r1r1_type, type, ssNder1_10r1r1r1r1r1r1r1r1r1r1:
% 1.22/1.03 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 1.22/1.03 thf(skc21_type, type, skc21: $i).
% 1.22/1.03 thf(ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 1.22/1.03 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 1.22/1.03 thf(ssPv11_10r1r1r1r1r1r1r1r1r1r1_type, type, ssPv11_10r1r1r1r1r1r1r1r1r1r1:
% 1.22/1.03 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 1.22/1.03 thf(ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 1.22/1.03 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 1.22/1.03 thf(ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 1.22/1.03 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i >
% 1.22/1.03 $i > $i > $o).
% 1.22/1.03 thf(ssNder1_6r1r1r1r1r1r1_type, type, ssNder1_6r1r1r1r1r1r1: $i > $i > $i >
% 1.22/1.03 $i > $i > $i > $o).
% 1.22/1.03 thf(ssPv18_3r1r1r1_type, type, ssPv18_3r1r1r1: $i > $i > $i > $o).
% 1.22/1.03 thf(ssPv20_1r1_type, type, ssPv20_1r1: $i > $o).
% 1.22/1.03 thf(ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1:
% 1.22/1.03 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 1.22/1.03 thf(ssNder1_7r1r1r1r1r1r1r1_type, type, ssNder1_7r1r1r1r1r1r1r1: $i > $i >
% 1.22/1.03 $i > $i >
% 1.22/1.03 $i > $i > $i > $o).
% 1.22/1.03 thf(ssNder1_9r1r1r1r1r1r1r1r1r1_type, type, ssNder1_9r1r1r1r1r1r1r1r1r1:
% 1.22/1.03 $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 1.22/1.03 thf(ssPv2_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssPv2_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 1.22/1.03 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i >
% 1.22/1.03 $i > $i > $i > $i > $i > $o).
% 1.22/1.03 thf(skc20_type, type, skc20: $i).
% 1.22/1.03 thf(ssPv13_8r1r1r1r1r1r1r1r1_type, type, ssPv13_8r1r1r1r1r1r1r1r1: $i > $i >
% 1.22/1.03 $i > $i >
% 1.22/1.03 $i > $i >
% 1.22/1.03 $i > $i > $o).
% 1.22/1.03 thf(ssNder1_0_type, type, ssNder1_0: $o).
% 1.22/1.03 thf(ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 1.22/1.03 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 1.22/1.03 thf(ssNder1_4r1r1r1r1_type, type, ssNder1_4r1r1r1r1: $i > $i > $i > $i > $o).
% 1.22/1.03 thf(ssPv19_2r1r1_type, type, ssPv19_2r1r1: $i > $i > $o).
% 1.22/1.03 thf(skc27_type, type, skc27: $i).
% 1.22/1.03 thf(ssNder1_11r1r1r1r1r1r1r1r1r1r1r1_type, type, ssNder1_11r1r1r1r1r1r1r1r1r1r1r1:
% 1.22/1.03 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 1.22/1.03 thf(ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 1.22/1.03 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i >
% 1.22/1.03 $i > $i > $o).
% 1.22/1.03 thf(ssPv14_7r1r1r1r1r1r1r1_type, type, ssPv14_7r1r1r1r1r1r1r1: $i > $i >
% 1.22/1.03 $i > $i >
% 1.22/1.03 $i > $i > $i > $o).
% 1.22/1.03 thf(skc25_type, type, skc25: $i).
% 1.22/1.03 thf(skc18_type, type, skc18: $i).
% 1.22/1.03 thf(ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 1.22/1.03 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 1.22/1.03 thf(ssNder1_2r1r1_type, type, ssNder1_2r1r1: $i > $i > $o).
% 1.22/1.03 thf(clause26, conjecture,
% 1.22/1.03 (~( ( ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.03 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ skc20 ) |
% 1.22/1.03 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.22/1.03 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 1.22/1.03 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.22/1.03 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.22/1.03 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.22/1.03 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 1.22/1.03 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 1.22/1.03 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 1.22/1.03 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 1.22/1.03 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.03 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 1.22/1.03 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.03 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 1.22/1.03 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.03 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) ))).
% 1.22/1.03 thf(zf_stmt_0, negated_conjecture,
% 1.22/1.03 (( ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.03 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ skc20 ) |
% 1.22/1.03 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.22/1.03 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.22/1.03 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.22/1.03 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.22/1.03 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 1.22/1.03 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 1.22/1.03 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 1.22/1.03 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 1.22/1.03 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.03 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 1.22/1.03 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.03 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 1.22/1.03 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.03 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) )),
% 1.22/1.03 inference('cnf.neg', [status(esa)], [clause26])).
% 1.22/1.03 thf(zip_derived_cl25, plain,
% 1.22/1.03 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.22/1.03 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 1.22/1.03 ( (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.22/1.03 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ skc20)
% 1.22/1.03 | ~ (ssNder1_0)
% 1.22/1.03 | ~ (ssNder1_1r1 @ X0)
% 1.22/1.03 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 1.22/1.03 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 1.22/1.03 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 1.22/1.03 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 1.22/1.03 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 1.22/1.03 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 1.22/1.03 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.22/1.03 X7)
% 1.22/1.03 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.22/1.03 X6 @ X7 @ X8)
% 1.22/1.03 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.22/1.03 X6 @ X7 @ X8 @ X9)
% 1.22/1.03 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.22/1.03 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 1.22/1.03 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.22/1.03 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11))),
% 1.22/1.03 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.22/1.03 thf(clause1, conjecture, (~( ssNder1_0 ))).
% 1.22/1.03 thf(zf_stmt_1, negated_conjecture, (ssNder1_0),
% 1.22/1.03 inference('cnf.neg', [status(esa)], [clause1])).
% 1.22/1.03 thf(zip_derived_cl0, plain, ( (ssNder1_0)),
% 1.22/1.03 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.22/1.03 thf(clause2, conjecture, (~( ( ssNder1_1r1 @ U ) | ( ~( ssNder1_0 ) ) ))).
% 1.22/1.03 thf(zf_stmt_2, negated_conjecture,
% 1.22/1.03 (( ssNder1_1r1 @ U ) | ( ~( ssNder1_0 ) )),
% 1.22/1.03 inference('cnf.neg', [status(esa)], [clause2])).
% 1.22/1.03 thf(zip_derived_cl1, plain,
% 1.22/1.03 (![X0 : $i]: ( (ssNder1_1r1 @ X0) | ~ (ssNder1_0))),
% 1.22/1.03 inference('cnf', [status(esa)], [zf_stmt_2])).
% 1.22/1.03 thf(zip_derived_cl0, plain, ( (ssNder1_0)),
% 1.22/1.03 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.22/1.03 thf(zip_derived_cl76, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 1.22/1.03 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 1.22/1.03 thf(clause3, conjecture,
% 1.22/1.03 (~( ( ssNder1_2r1r1 @ U @ V ) | ( ~( ssNder1_0 ) ) |
% 1.22/1.03 ( ~( ssNder1_1r1 @ U ) ) ))).
% 1.22/1.03 thf(zf_stmt_3, negated_conjecture,
% 1.22/1.03 (( ssNder1_2r1r1 @ U @ V ) | ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) )),
% 1.22/1.03 inference('cnf.neg', [status(esa)], [clause3])).
% 1.22/1.03 thf(zip_derived_cl2, plain,
% 1.22/1.03 (![X0 : $i, X1 : $i]:
% 1.22/1.03 ( (ssNder1_2r1r1 @ X0 @ X1) | ~ (ssNder1_0) | ~ (ssNder1_1r1 @ X0))),
% 1.22/1.03 inference('cnf', [status(esa)], [zf_stmt_3])).
% 1.22/1.03 thf(zip_derived_cl0, plain, ( (ssNder1_0)),
% 1.22/1.03 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.22/1.03 thf(zip_derived_cl76, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 1.22/1.03 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 1.22/1.03 thf(zip_derived_cl77, plain,
% 1.22/1.03 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 1.22/1.03 inference('demod', [status(thm)],
% 1.22/1.03 [zip_derived_cl2, zip_derived_cl0, zip_derived_cl76])).
% 1.22/1.03 thf(clause4, conjecture,
% 1.22/1.03 (~( ( ssNder1_3r1r1r1 @ U @ V @ W ) | ( ~( ssNder1_0 ) ) |
% 1.22/1.03 ( ~( ssNder1_1r1 @ U ) ) | ( ~( ssNder1_2r1r1 @ U @ V ) ) ))).
% 1.22/1.03 thf(zf_stmt_4, negated_conjecture,
% 1.22/1.03 (( ssNder1_3r1r1r1 @ U @ V @ W ) | ( ~( ssNder1_0 ) ) |
% 1.22/1.03 ( ~( ssNder1_1r1 @ U ) ) | ( ~( ssNder1_2r1r1 @ U @ V ) )),
% 1.22/1.03 inference('cnf.neg', [status(esa)], [clause4])).
% 1.22/1.03 thf(zip_derived_cl3, plain,
% 1.22/1.03 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.22/1.03 ( (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 1.22/1.03 | ~ (ssNder1_0)
% 1.22/1.03 | ~ (ssNder1_1r1 @ X0)
% 1.22/1.03 | ~ (ssNder1_2r1r1 @ X0 @ X1))),
% 1.22/1.03 inference('cnf', [status(esa)], [zf_stmt_4])).
% 1.22/1.03 thf(zip_derived_cl0, plain, ( (ssNder1_0)),
% 1.22/1.03 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.22/1.03 thf(zip_derived_cl76, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 1.22/1.03 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 1.22/1.03 thf(zip_derived_cl77, plain,
% 1.22/1.03 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 1.22/1.03 inference('demod', [status(thm)],
% 1.22/1.03 [zip_derived_cl2, zip_derived_cl0, zip_derived_cl76])).
% 1.22/1.03 thf(zip_derived_cl78, plain,
% 1.22/1.03 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 1.22/1.03 inference('demod', [status(thm)],
% 1.22/1.03 [zip_derived_cl3, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.03 zip_derived_cl77])).
% 1.22/1.03 thf(clause5, conjecture,
% 1.22/1.03 (~( ( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) | ( ~( ssNder1_0 ) ) |
% 1.22/1.03 ( ~( ssNder1_1r1 @ U ) ) | ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 1.22/1.03 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) ))).
% 1.22/1.03 thf(zf_stmt_5, negated_conjecture,
% 1.22/1.03 (( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) | ( ~( ssNder1_0 ) ) |
% 1.22/1.03 ( ~( ssNder1_1r1 @ U ) ) | ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 1.22/1.03 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) )),
% 1.22/1.03 inference('cnf.neg', [status(esa)], [clause5])).
% 1.22/1.03 thf(zip_derived_cl4, plain,
% 1.22/1.03 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.22/1.03 ( (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 1.22/1.03 | ~ (ssNder1_0)
% 1.22/1.03 | ~ (ssNder1_1r1 @ X0)
% 1.22/1.03 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 1.22/1.03 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2))),
% 1.22/1.03 inference('cnf', [status(esa)], [zf_stmt_5])).
% 1.22/1.03 thf(zip_derived_cl0, plain, ( (ssNder1_0)),
% 1.22/1.03 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.22/1.03 thf(zip_derived_cl76, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 1.22/1.03 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 1.22/1.03 thf(zip_derived_cl77, plain,
% 1.22/1.03 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 1.22/1.03 inference('demod', [status(thm)],
% 1.22/1.03 [zip_derived_cl2, zip_derived_cl0, zip_derived_cl76])).
% 1.22/1.03 thf(zip_derived_cl78, plain,
% 1.22/1.03 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 1.22/1.03 inference('demod', [status(thm)],
% 1.22/1.03 [zip_derived_cl3, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.03 zip_derived_cl77])).
% 1.22/1.03 thf(zip_derived_cl80, plain,
% 1.22/1.03 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.22/1.03 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 1.22/1.03 inference('demod', [status(thm)],
% 1.22/1.03 [zip_derived_cl4, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.03 zip_derived_cl77, zip_derived_cl78])).
% 1.22/1.03 thf(clause8, conjecture,
% 1.22/1.03 (~( ( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) | ( ~( ssNder1_0 ) ) |
% 1.22/1.03 ( ~( ssNder1_1r1 @ U ) ) | ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 1.22/1.03 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.22/1.03 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) ))).
% 1.22/1.03 thf(zf_stmt_6, negated_conjecture,
% 1.22/1.03 (( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) | ( ~( ssNder1_0 ) ) |
% 1.22/1.03 ( ~( ssNder1_1r1 @ U ) ) | ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 1.22/1.03 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.22/1.03 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) )),
% 1.22/1.03 inference('cnf.neg', [status(esa)], [clause8])).
% 1.22/1.03 thf(zip_derived_cl7, plain,
% 1.22/1.03 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.22/1.03 ( (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 1.22/1.03 | ~ (ssNder1_0)
% 1.22/1.03 | ~ (ssNder1_1r1 @ X0)
% 1.22/1.03 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 1.22/1.03 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 1.22/1.03 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3))),
% 1.22/1.03 inference('cnf', [status(esa)], [zf_stmt_6])).
% 1.22/1.03 thf(zip_derived_cl0, plain, ( (ssNder1_0)),
% 1.22/1.03 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.22/1.03 thf(zip_derived_cl76, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 1.22/1.03 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 1.22/1.03 thf(zip_derived_cl77, plain,
% 1.22/1.03 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 1.22/1.03 inference('demod', [status(thm)],
% 1.22/1.03 [zip_derived_cl2, zip_derived_cl0, zip_derived_cl76])).
% 1.22/1.03 thf(zip_derived_cl78, plain,
% 1.22/1.03 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 1.22/1.03 inference('demod', [status(thm)],
% 1.22/1.03 [zip_derived_cl3, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.03 zip_derived_cl77])).
% 1.22/1.03 thf(zip_derived_cl80, plain,
% 1.22/1.03 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.22/1.03 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 1.22/1.03 inference('demod', [status(thm)],
% 1.22/1.03 [zip_derived_cl4, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.03 zip_derived_cl77, zip_derived_cl78])).
% 1.22/1.03 thf(zip_derived_cl84, plain,
% 1.22/1.03 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.22/1.03 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 1.22/1.03 inference('demod', [status(thm)],
% 1.22/1.03 [zip_derived_cl7, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.03 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80])).
% 1.22/1.03 thf(clause11, conjecture,
% 1.22/1.03 (~( ( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) |
% 1.22/1.03 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.22/1.03 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 1.22/1.03 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.22/1.03 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.22/1.03 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) ))).
% 1.22/1.03 thf(zf_stmt_7, negated_conjecture,
% 1.22/1.03 (( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) | ( ~( ssNder1_0 ) ) |
% 1.22/1.03 ( ~( ssNder1_1r1 @ U ) ) | ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 1.22/1.03 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.22/1.03 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.22/1.03 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) )),
% 1.22/1.03 inference('cnf.neg', [status(esa)], [clause11])).
% 1.22/1.03 thf(zip_derived_cl10, plain,
% 1.22/1.03 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.22/1.03 ( (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 1.22/1.03 | ~ (ssNder1_0)
% 1.22/1.03 | ~ (ssNder1_1r1 @ X0)
% 1.22/1.03 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 1.22/1.03 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 1.22/1.03 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 1.22/1.03 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4))),
% 1.22/1.03 inference('cnf', [status(esa)], [zf_stmt_7])).
% 1.22/1.03 thf(zip_derived_cl0, plain, ( (ssNder1_0)),
% 1.22/1.03 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.22/1.03 thf(zip_derived_cl76, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 1.22/1.03 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 1.22/1.03 thf(zip_derived_cl77, plain,
% 1.22/1.03 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 1.22/1.03 inference('demod', [status(thm)],
% 1.22/1.03 [zip_derived_cl2, zip_derived_cl0, zip_derived_cl76])).
% 1.22/1.03 thf(zip_derived_cl78, plain,
% 1.22/1.03 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 1.22/1.03 inference('demod', [status(thm)],
% 1.22/1.03 [zip_derived_cl3, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.03 zip_derived_cl77])).
% 1.22/1.03 thf(zip_derived_cl80, plain,
% 1.22/1.03 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.22/1.03 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 1.22/1.03 inference('demod', [status(thm)],
% 1.22/1.03 [zip_derived_cl4, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.03 zip_derived_cl77, zip_derived_cl78])).
% 1.22/1.03 thf(zip_derived_cl84, plain,
% 1.22/1.03 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.22/1.03 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 1.22/1.03 inference('demod', [status(thm)],
% 1.22/1.03 [zip_derived_cl7, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.03 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80])).
% 1.22/1.03 thf(zip_derived_cl88, plain,
% 1.22/1.03 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.22/1.03 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 1.22/1.03 inference('demod', [status(thm)],
% 1.22/1.03 [zip_derived_cl10, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.03 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.03 zip_derived_cl84])).
% 1.22/1.03 thf(clause14, conjecture,
% 1.22/1.03 (~( ( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) |
% 1.22/1.03 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.22/1.03 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 1.22/1.03 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.22/1.03 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.22/1.03 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.22/1.03 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) ))).
% 1.22/1.03 thf(zf_stmt_8, negated_conjecture,
% 1.22/1.03 (( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) |
% 1.22/1.03 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.22/1.03 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.22/1.03 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.22/1.03 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.22/1.03 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) )),
% 1.22/1.03 inference('cnf.neg', [status(esa)], [clause14])).
% 1.22/1.03 thf(zip_derived_cl13, plain,
% 1.22/1.03 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 1.22/1.03 ( (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 1.22/1.03 | ~ (ssNder1_0)
% 1.22/1.03 | ~ (ssNder1_1r1 @ X0)
% 1.22/1.03 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 1.22/1.03 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 1.22/1.03 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 1.22/1.03 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 1.22/1.03 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5))),
% 1.22/1.03 inference('cnf', [status(esa)], [zf_stmt_8])).
% 1.22/1.03 thf(zip_derived_cl0, plain, ( (ssNder1_0)),
% 1.22/1.03 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.22/1.03 thf(zip_derived_cl76, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 1.22/1.03 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 1.22/1.03 thf(zip_derived_cl77, plain,
% 1.22/1.03 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 1.22/1.03 inference('demod', [status(thm)],
% 1.22/1.03 [zip_derived_cl2, zip_derived_cl0, zip_derived_cl76])).
% 1.22/1.03 thf(zip_derived_cl78, plain,
% 1.22/1.03 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 1.22/1.03 inference('demod', [status(thm)],
% 1.22/1.03 [zip_derived_cl3, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.03 zip_derived_cl77])).
% 1.22/1.03 thf(zip_derived_cl80, plain,
% 1.22/1.03 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.22/1.03 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 1.22/1.03 inference('demod', [status(thm)],
% 1.22/1.03 [zip_derived_cl4, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.03 zip_derived_cl77, zip_derived_cl78])).
% 1.22/1.03 thf(zip_derived_cl84, plain,
% 1.22/1.03 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.22/1.03 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 1.22/1.03 inference('demod', [status(thm)],
% 1.22/1.03 [zip_derived_cl7, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.03 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80])).
% 1.22/1.03 thf(zip_derived_cl88, plain,
% 1.22/1.03 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.22/1.03 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 1.22/1.03 inference('demod', [status(thm)],
% 1.22/1.03 [zip_derived_cl10, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.03 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.03 zip_derived_cl84])).
% 1.22/1.03 thf(zip_derived_cl91, plain,
% 1.22/1.03 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 1.22/1.03 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 1.22/1.03 inference('demod', [status(thm)],
% 1.22/1.03 [zip_derived_cl13, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.03 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.03 zip_derived_cl84, zip_derived_cl88])).
% 1.22/1.03 thf(clause17, conjecture,
% 1.22/1.03 (~( ( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) |
% 1.22/1.03 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.22/1.03 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 1.22/1.03 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.22/1.03 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.22/1.03 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.22/1.03 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 1.22/1.03 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) ))).
% 1.22/1.03 thf(zf_stmt_9, negated_conjecture,
% 1.22/1.03 (( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) |
% 1.22/1.03 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.22/1.03 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.22/1.03 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.22/1.03 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.22/1.03 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 1.22/1.03 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) )),
% 1.22/1.03 inference('cnf.neg', [status(esa)], [clause17])).
% 1.22/1.03 thf(zip_derived_cl16, plain,
% 1.22/1.03 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 1.22/1.03 ( (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)
% 1.22/1.03 | ~ (ssNder1_0)
% 1.22/1.03 | ~ (ssNder1_1r1 @ X0)
% 1.22/1.03 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 1.22/1.03 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 1.22/1.03 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 1.22/1.03 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 1.22/1.03 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 1.22/1.03 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6))),
% 1.22/1.03 inference('cnf', [status(esa)], [zf_stmt_9])).
% 1.22/1.03 thf(zip_derived_cl0, plain, ( (ssNder1_0)),
% 1.22/1.03 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.22/1.03 thf(zip_derived_cl76, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 1.22/1.03 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 1.22/1.03 thf(zip_derived_cl77, plain,
% 1.22/1.03 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 1.22/1.03 inference('demod', [status(thm)],
% 1.22/1.03 [zip_derived_cl2, zip_derived_cl0, zip_derived_cl76])).
% 1.22/1.03 thf(zip_derived_cl78, plain,
% 1.22/1.03 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 1.22/1.03 inference('demod', [status(thm)],
% 1.22/1.03 [zip_derived_cl3, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.03 zip_derived_cl77])).
% 1.22/1.03 thf(zip_derived_cl80, plain,
% 1.22/1.03 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.22/1.03 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 1.22/1.03 inference('demod', [status(thm)],
% 1.22/1.03 [zip_derived_cl4, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.03 zip_derived_cl77, zip_derived_cl78])).
% 1.22/1.03 thf(zip_derived_cl84, plain,
% 1.22/1.03 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.22/1.03 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 1.22/1.03 inference('demod', [status(thm)],
% 1.22/1.03 [zip_derived_cl7, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.03 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80])).
% 1.22/1.03 thf(zip_derived_cl88, plain,
% 1.22/1.03 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.22/1.03 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 1.22/1.03 inference('demod', [status(thm)],
% 1.22/1.03 [zip_derived_cl10, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.03 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.03 zip_derived_cl84])).
% 1.22/1.03 thf(zip_derived_cl91, plain,
% 1.22/1.03 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 1.22/1.03 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 1.22/1.03 inference('demod', [status(thm)],
% 1.22/1.03 [zip_derived_cl13, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.03 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.03 zip_derived_cl84, zip_derived_cl88])).
% 1.22/1.03 thf(zip_derived_cl93, plain,
% 1.22/1.03 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 1.22/1.03 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 1.22/1.03 inference('demod', [status(thm)],
% 1.22/1.03 [zip_derived_cl16, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.03 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.03 zip_derived_cl84, zip_derived_cl88, zip_derived_cl91])).
% 1.22/1.03 thf(clause18, conjecture,
% 1.22/1.03 (~( ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) |
% 1.22/1.03 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.22/1.03 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 1.22/1.03 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.22/1.03 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.22/1.03 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.22/1.03 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 1.22/1.03 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 1.22/1.03 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) ))).
% 1.22/1.03 thf(zf_stmt_10, negated_conjecture,
% 1.22/1.03 (( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) |
% 1.22/1.03 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.22/1.03 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.22/1.03 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.22/1.03 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.22/1.03 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 1.22/1.03 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 1.22/1.03 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) )),
% 1.22/1.03 inference('cnf.neg', [status(esa)], [clause18])).
% 1.22/1.03 thf(zip_derived_cl17, plain,
% 1.22/1.03 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.22/1.03 X7 : $i, X8 : $i]:
% 1.22/1.03 ( (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.22/1.03 X7 @ X8)
% 1.22/1.03 | ~ (ssNder1_0)
% 1.22/1.03 | ~ (ssNder1_1r1 @ X0)
% 1.22/1.03 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 1.22/1.03 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 1.22/1.03 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 1.22/1.03 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 1.22/1.03 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 1.22/1.03 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 1.22/1.03 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.22/1.03 X7))),
% 1.22/1.03 inference('cnf', [status(esa)], [zf_stmt_10])).
% 1.22/1.03 thf(zip_derived_cl0, plain, ( (ssNder1_0)),
% 1.22/1.03 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.22/1.03 thf(zip_derived_cl76, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 1.22/1.03 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 1.22/1.03 thf(zip_derived_cl77, plain,
% 1.22/1.03 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 1.22/1.03 inference('demod', [status(thm)],
% 1.22/1.03 [zip_derived_cl2, zip_derived_cl0, zip_derived_cl76])).
% 1.22/1.03 thf(zip_derived_cl78, plain,
% 1.22/1.03 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 1.22/1.03 inference('demod', [status(thm)],
% 1.22/1.03 [zip_derived_cl3, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.03 zip_derived_cl77])).
% 1.22/1.03 thf(zip_derived_cl80, plain,
% 1.22/1.03 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.22/1.03 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 1.22/1.03 inference('demod', [status(thm)],
% 1.22/1.03 [zip_derived_cl4, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.03 zip_derived_cl77, zip_derived_cl78])).
% 1.22/1.03 thf(zip_derived_cl84, plain,
% 1.22/1.03 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.22/1.03 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 1.22/1.03 inference('demod', [status(thm)],
% 1.22/1.03 [zip_derived_cl7, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.03 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80])).
% 1.22/1.03 thf(zip_derived_cl88, plain,
% 1.22/1.03 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.22/1.03 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 1.22/1.03 inference('demod', [status(thm)],
% 1.22/1.03 [zip_derived_cl10, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.03 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.03 zip_derived_cl84])).
% 1.22/1.03 thf(zip_derived_cl91, plain,
% 1.22/1.03 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 1.22/1.03 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 1.22/1.03 inference('demod', [status(thm)],
% 1.22/1.03 [zip_derived_cl13, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.03 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.03 zip_derived_cl84, zip_derived_cl88])).
% 1.22/1.03 thf(zip_derived_cl93, plain,
% 1.22/1.03 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 1.22/1.03 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 1.22/1.03 inference('demod', [status(thm)],
% 1.22/1.03 [zip_derived_cl16, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.03 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.03 zip_derived_cl84, zip_derived_cl88, zip_derived_cl91])).
% 1.22/1.03 thf(zip_derived_cl94, plain,
% 1.22/1.03 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.22/1.03 X7 : $i, X8 : $i]:
% 1.22/1.03 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.22/1.03 X7 @ X8)),
% 1.22/1.03 inference('demod', [status(thm)],
% 1.22/1.03 [zip_derived_cl17, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.03 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.03 zip_derived_cl84, zip_derived_cl88, zip_derived_cl91,
% 1.22/1.03 zip_derived_cl93])).
% 1.22/1.03 thf(clause19, conjecture,
% 1.22/1.03 (~( ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.03 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) |
% 1.22/1.03 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.22/1.03 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 1.22/1.03 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.22/1.03 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.22/1.03 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.22/1.03 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 1.22/1.03 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 1.22/1.03 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 1.22/1.03 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) ))).
% 1.22/1.03 thf(zf_stmt_11, negated_conjecture,
% 1.22/1.03 (( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.03 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) |
% 1.22/1.03 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.22/1.03 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.22/1.03 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.22/1.03 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.22/1.03 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 1.22/1.03 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 1.22/1.03 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 1.22/1.03 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) )),
% 1.22/1.03 inference('cnf.neg', [status(esa)], [clause19])).
% 1.22/1.03 thf(zip_derived_cl18, plain,
% 1.22/1.03 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.22/1.03 X7 : $i, X8 : $i, X9 : $i]:
% 1.22/1.03 ( (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.22/1.03 X6 @ X7 @ X8 @ X9)
% 1.22/1.03 | ~ (ssNder1_0)
% 1.22/1.03 | ~ (ssNder1_1r1 @ X0)
% 1.22/1.03 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 1.22/1.03 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 1.22/1.03 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 1.22/1.03 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 1.22/1.03 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 1.22/1.03 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 1.22/1.03 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.22/1.03 X7)
% 1.22/1.03 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.22/1.03 X6 @ X7 @ X8))),
% 1.22/1.03 inference('cnf', [status(esa)], [zf_stmt_11])).
% 1.22/1.03 thf(zip_derived_cl0, plain, ( (ssNder1_0)),
% 1.22/1.03 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.22/1.03 thf(zip_derived_cl76, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 1.22/1.03 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 1.22/1.03 thf(zip_derived_cl77, plain,
% 1.22/1.03 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 1.22/1.03 inference('demod', [status(thm)],
% 1.22/1.03 [zip_derived_cl2, zip_derived_cl0, zip_derived_cl76])).
% 1.22/1.03 thf(zip_derived_cl78, plain,
% 1.22/1.03 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 1.22/1.03 inference('demod', [status(thm)],
% 1.22/1.03 [zip_derived_cl3, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.03 zip_derived_cl77])).
% 1.22/1.03 thf(zip_derived_cl80, plain,
% 1.22/1.03 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.22/1.03 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 1.22/1.03 inference('demod', [status(thm)],
% 1.22/1.03 [zip_derived_cl4, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.03 zip_derived_cl77, zip_derived_cl78])).
% 1.22/1.03 thf(zip_derived_cl84, plain,
% 1.22/1.03 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.22/1.03 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 1.22/1.03 inference('demod', [status(thm)],
% 1.22/1.03 [zip_derived_cl7, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.03 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80])).
% 1.22/1.03 thf(zip_derived_cl88, plain,
% 1.22/1.03 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.22/1.03 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 1.22/1.03 inference('demod', [status(thm)],
% 1.22/1.03 [zip_derived_cl10, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.03 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.03 zip_derived_cl84])).
% 1.22/1.03 thf(zip_derived_cl91, plain,
% 1.22/1.03 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 1.22/1.03 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 1.22/1.03 inference('demod', [status(thm)],
% 1.22/1.03 [zip_derived_cl13, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.03 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.03 zip_derived_cl84, zip_derived_cl88])).
% 1.22/1.03 thf(zip_derived_cl93, plain,
% 1.22/1.03 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 1.22/1.03 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 1.22/1.03 inference('demod', [status(thm)],
% 1.22/1.03 [zip_derived_cl16, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.03 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.03 zip_derived_cl84, zip_derived_cl88, zip_derived_cl91])).
% 1.22/1.03 thf(zip_derived_cl94, plain,
% 1.22/1.03 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.22/1.03 X7 : $i, X8 : $i]:
% 1.22/1.03 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.22/1.03 X7 @ X8)),
% 1.22/1.03 inference('demod', [status(thm)],
% 1.22/1.03 [zip_derived_cl17, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.03 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.03 zip_derived_cl84, zip_derived_cl88, zip_derived_cl91,
% 1.22/1.03 zip_derived_cl93])).
% 1.22/1.03 thf(zip_derived_cl95, plain,
% 1.22/1.03 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.22/1.03 X7 : $i, X8 : $i, X9 : $i]:
% 1.22/1.03 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.22/1.03 X7 @ X8 @ X9)),
% 1.22/1.03 inference('demod', [status(thm)],
% 1.22/1.03 [zip_derived_cl18, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.03 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.03 zip_derived_cl84, zip_derived_cl88, zip_derived_cl91,
% 1.22/1.03 zip_derived_cl93, zip_derived_cl94])).
% 1.22/1.03 thf(clause21, conjecture,
% 1.22/1.03 (~( ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.03 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) |
% 1.22/1.03 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.22/1.03 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 1.22/1.03 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.22/1.03 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.22/1.03 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.22/1.03 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 1.22/1.03 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 1.22/1.03 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 1.22/1.03 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 1.22/1.03 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.03 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) ))).
% 1.22/1.03 thf(zf_stmt_12, negated_conjecture,
% 1.22/1.03 (( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.03 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) |
% 1.22/1.03 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.22/1.03 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.22/1.03 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.22/1.03 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.22/1.03 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 1.22/1.03 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 1.22/1.03 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 1.22/1.03 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 1.22/1.03 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.03 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) )),
% 1.22/1.03 inference('cnf.neg', [status(esa)], [clause21])).
% 1.22/1.03 thf(zip_derived_cl20, plain,
% 1.22/1.03 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.22/1.03 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 1.22/1.03 ( (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.22/1.03 X6 @ X7 @ X8 @ X9 @ X10)
% 1.22/1.03 | ~ (ssNder1_0)
% 1.22/1.03 | ~ (ssNder1_1r1 @ X0)
% 1.22/1.03 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 1.22/1.03 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 1.22/1.03 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 1.22/1.03 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 1.22/1.03 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 1.22/1.03 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 1.22/1.03 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.22/1.03 X7)
% 1.22/1.03 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.22/1.03 X6 @ X7 @ X8)
% 1.22/1.03 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.22/1.03 X6 @ X7 @ X8 @ X9))),
% 1.22/1.03 inference('cnf', [status(esa)], [zf_stmt_12])).
% 1.22/1.03 thf(zip_derived_cl0, plain, ( (ssNder1_0)),
% 1.22/1.03 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.22/1.03 thf(zip_derived_cl76, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 1.22/1.03 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 1.22/1.03 thf(zip_derived_cl77, plain,
% 1.22/1.03 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 1.22/1.03 inference('demod', [status(thm)],
% 1.22/1.03 [zip_derived_cl2, zip_derived_cl0, zip_derived_cl76])).
% 1.22/1.03 thf(zip_derived_cl78, plain,
% 1.22/1.03 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 1.22/1.03 inference('demod', [status(thm)],
% 1.22/1.03 [zip_derived_cl3, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.03 zip_derived_cl77])).
% 1.22/1.03 thf(zip_derived_cl80, plain,
% 1.22/1.03 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.22/1.03 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 1.22/1.03 inference('demod', [status(thm)],
% 1.22/1.03 [zip_derived_cl4, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.03 zip_derived_cl77, zip_derived_cl78])).
% 1.22/1.03 thf(zip_derived_cl84, plain,
% 1.22/1.03 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.22/1.03 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 1.22/1.03 inference('demod', [status(thm)],
% 1.22/1.03 [zip_derived_cl7, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.03 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80])).
% 1.22/1.03 thf(zip_derived_cl88, plain,
% 1.22/1.03 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.22/1.03 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 1.22/1.03 inference('demod', [status(thm)],
% 1.22/1.03 [zip_derived_cl10, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.03 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.03 zip_derived_cl84])).
% 1.22/1.03 thf(zip_derived_cl91, plain,
% 1.22/1.03 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 1.22/1.03 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 1.22/1.03 inference('demod', [status(thm)],
% 1.22/1.03 [zip_derived_cl13, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.03 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.03 zip_derived_cl84, zip_derived_cl88])).
% 1.22/1.03 thf(zip_derived_cl93, plain,
% 1.22/1.03 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 1.22/1.03 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 1.22/1.03 inference('demod', [status(thm)],
% 1.22/1.03 [zip_derived_cl16, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.03 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.03 zip_derived_cl84, zip_derived_cl88, zip_derived_cl91])).
% 1.22/1.03 thf(zip_derived_cl94, plain,
% 1.22/1.03 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.22/1.03 X7 : $i, X8 : $i]:
% 1.22/1.03 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.22/1.03 X7 @ X8)),
% 1.22/1.03 inference('demod', [status(thm)],
% 1.22/1.03 [zip_derived_cl17, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.03 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.03 zip_derived_cl84, zip_derived_cl88, zip_derived_cl91,
% 1.22/1.03 zip_derived_cl93])).
% 1.22/1.03 thf(zip_derived_cl95, plain,
% 1.22/1.03 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.22/1.03 X7 : $i, X8 : $i, X9 : $i]:
% 1.22/1.03 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.22/1.03 X7 @ X8 @ X9)),
% 1.22/1.03 inference('demod', [status(thm)],
% 1.22/1.03 [zip_derived_cl18, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.03 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.03 zip_derived_cl84, zip_derived_cl88, zip_derived_cl91,
% 1.22/1.03 zip_derived_cl93, zip_derived_cl94])).
% 1.22/1.03 thf(zip_derived_cl97, plain,
% 1.22/1.03 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.22/1.03 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 1.22/1.03 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.22/1.03 X6 @ X7 @ X8 @ X9 @ X10)),
% 1.22/1.03 inference('demod', [status(thm)],
% 1.22/1.03 [zip_derived_cl20, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.03 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.03 zip_derived_cl84, zip_derived_cl88, zip_derived_cl91,
% 1.22/1.03 zip_derived_cl93, zip_derived_cl94, zip_derived_cl95])).
% 1.22/1.03 thf(clause22, conjecture,
% 1.22/1.03 (~( ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.03 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) |
% 1.22/1.03 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.22/1.03 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 1.22/1.03 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.22/1.03 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.22/1.03 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.22/1.03 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 1.22/1.03 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 1.22/1.03 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 1.22/1.03 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 1.22/1.03 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.03 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 1.22/1.03 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.03 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) ))).
% 1.22/1.03 thf(zf_stmt_13, negated_conjecture,
% 1.22/1.03 (( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.03 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) |
% 1.22/1.03 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.22/1.03 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.22/1.03 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.22/1.03 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.22/1.03 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 1.22/1.03 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 1.22/1.03 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 1.22/1.03 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 1.22/1.03 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.03 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 1.22/1.03 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.03 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) )),
% 1.22/1.03 inference('cnf.neg', [status(esa)], [clause22])).
% 1.22/1.03 thf(zip_derived_cl21, plain,
% 1.22/1.03 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.22/1.03 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 1.22/1.03 ( (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.22/1.03 X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 1.22/1.03 | ~ (ssNder1_0)
% 1.22/1.03 | ~ (ssNder1_1r1 @ X0)
% 1.22/1.03 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 1.22/1.03 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 1.22/1.03 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 1.22/1.03 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 1.22/1.03 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 1.22/1.03 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 1.22/1.03 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.22/1.03 X7)
% 1.22/1.03 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.22/1.03 X6 @ X7 @ X8)
% 1.22/1.03 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.22/1.03 X6 @ X7 @ X8 @ X9)
% 1.22/1.03 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.22/1.03 X5 @ X6 @ X7 @ X8 @ X9 @ X10))),
% 1.22/1.03 inference('cnf', [status(esa)], [zf_stmt_13])).
% 1.22/1.03 thf(zip_derived_cl0, plain, ( (ssNder1_0)),
% 1.22/1.03 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.22/1.03 thf(zip_derived_cl76, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 1.22/1.03 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 1.22/1.03 thf(zip_derived_cl77, plain,
% 1.22/1.03 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 1.22/1.03 inference('demod', [status(thm)],
% 1.22/1.03 [zip_derived_cl2, zip_derived_cl0, zip_derived_cl76])).
% 1.22/1.03 thf(zip_derived_cl78, plain,
% 1.22/1.03 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 1.22/1.03 inference('demod', [status(thm)],
% 1.22/1.03 [zip_derived_cl3, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.03 zip_derived_cl77])).
% 1.22/1.03 thf(zip_derived_cl80, plain,
% 1.22/1.03 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.22/1.03 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 1.22/1.03 inference('demod', [status(thm)],
% 1.22/1.03 [zip_derived_cl4, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.03 zip_derived_cl77, zip_derived_cl78])).
% 1.22/1.03 thf(zip_derived_cl84, plain,
% 1.22/1.03 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.22/1.03 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 1.22/1.03 inference('demod', [status(thm)],
% 1.22/1.03 [zip_derived_cl7, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.03 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80])).
% 1.22/1.03 thf(zip_derived_cl88, plain,
% 1.22/1.03 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.22/1.03 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 1.22/1.03 inference('demod', [status(thm)],
% 1.22/1.03 [zip_derived_cl10, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.03 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.03 zip_derived_cl84])).
% 1.22/1.03 thf(zip_derived_cl91, plain,
% 1.22/1.03 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 1.22/1.03 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 1.22/1.03 inference('demod', [status(thm)],
% 1.22/1.03 [zip_derived_cl13, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.03 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.03 zip_derived_cl84, zip_derived_cl88])).
% 1.22/1.03 thf(zip_derived_cl93, plain,
% 1.22/1.03 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 1.22/1.03 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 1.22/1.03 inference('demod', [status(thm)],
% 1.22/1.03 [zip_derived_cl16, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.03 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.03 zip_derived_cl84, zip_derived_cl88, zip_derived_cl91])).
% 1.22/1.03 thf(zip_derived_cl94, plain,
% 1.22/1.03 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.22/1.03 X7 : $i, X8 : $i]:
% 1.22/1.03 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.22/1.03 X7 @ X8)),
% 1.22/1.03 inference('demod', [status(thm)],
% 1.22/1.03 [zip_derived_cl17, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.03 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.03 zip_derived_cl84, zip_derived_cl88, zip_derived_cl91,
% 1.22/1.03 zip_derived_cl93])).
% 1.22/1.03 thf(zip_derived_cl95, plain,
% 1.22/1.03 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.22/1.03 X7 : $i, X8 : $i, X9 : $i]:
% 1.22/1.03 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.22/1.03 X7 @ X8 @ X9)),
% 1.22/1.03 inference('demod', [status(thm)],
% 1.22/1.03 [zip_derived_cl18, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.03 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.03 zip_derived_cl84, zip_derived_cl88, zip_derived_cl91,
% 1.22/1.03 zip_derived_cl93, zip_derived_cl94])).
% 1.22/1.03 thf(zip_derived_cl97, plain,
% 1.22/1.03 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.22/1.03 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 1.22/1.03 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.22/1.03 X6 @ X7 @ X8 @ X9 @ X10)),
% 1.22/1.03 inference('demod', [status(thm)],
% 1.22/1.03 [zip_derived_cl20, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.03 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.03 zip_derived_cl84, zip_derived_cl88, zip_derived_cl91,
% 1.22/1.03 zip_derived_cl93, zip_derived_cl94, zip_derived_cl95])).
% 1.22/1.03 thf(zip_derived_cl100, plain,
% 1.22/1.03 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.22/1.03 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 1.22/1.03 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.22/1.03 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 1.22/1.03 inference('demod', [status(thm)],
% 1.22/1.03 [zip_derived_cl21, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.03 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.03 zip_derived_cl84, zip_derived_cl88, zip_derived_cl91,
% 1.22/1.03 zip_derived_cl93, zip_derived_cl94, zip_derived_cl95,
% 1.22/1.03 zip_derived_cl97])).
% 1.22/1.03 thf(zip_derived_cl105, plain,
% 1.22/1.03 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.22/1.03 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 1.22/1.03 (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.22/1.03 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ skc20)),
% 1.22/1.03 inference('demod', [status(thm)],
% 1.22/1.03 [zip_derived_cl25, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.03 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.03 zip_derived_cl84, zip_derived_cl88, zip_derived_cl91,
% 1.22/1.03 zip_derived_cl93, zip_derived_cl94, zip_derived_cl95,
% 1.22/1.03 zip_derived_cl97, zip_derived_cl100])).
% 1.22/1.03 thf(clause30, conjecture,
% 1.22/1.03 (~( ( ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.03 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ skc18 ) |
% 1.22/1.03 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.22/1.03 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 1.22/1.03 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.22/1.03 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.22/1.03 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.22/1.03 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 1.22/1.03 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 1.22/1.03 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 1.22/1.03 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 1.22/1.03 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.03 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 1.22/1.03 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.03 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 1.22/1.03 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.03 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 1.22/1.03 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.03 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) ))).
% 1.22/1.03 thf(zf_stmt_14, negated_conjecture,
% 1.22/1.03 (( ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.03 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ skc18 ) |
% 1.22/1.03 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.22/1.03 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.22/1.03 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.22/1.03 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.22/1.03 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 1.22/1.03 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 1.22/1.03 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 1.22/1.03 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 1.22/1.03 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.03 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 1.22/1.03 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.03 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 1.22/1.03 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.03 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 1.22/1.03 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.03 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) )),
% 1.22/1.03 inference('cnf.neg', [status(esa)], [clause30])).
% 1.22/1.03 thf(zip_derived_cl29, plain,
% 1.22/1.03 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.22/1.03 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 1.22/1.03 ( (ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.22/1.03 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ skc18)
% 1.22/1.03 | ~ (ssNder1_0)
% 1.22/1.03 | ~ (ssNder1_1r1 @ X0)
% 1.22/1.03 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 1.22/1.03 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 1.22/1.03 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 1.22/1.03 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 1.22/1.03 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 1.22/1.03 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 1.22/1.03 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.22/1.03 X7)
% 1.22/1.03 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.22/1.03 X6 @ X7 @ X8)
% 1.22/1.03 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.22/1.03 X6 @ X7 @ X8 @ X9)
% 1.22/1.03 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.22/1.03 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 1.22/1.03 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.22/1.03 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 1.22/1.03 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.22/1.03 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12))),
% 1.22/1.03 inference('cnf', [status(esa)], [zf_stmt_14])).
% 1.22/1.03 thf(zip_derived_cl0, plain, ( (ssNder1_0)),
% 1.22/1.03 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.22/1.03 thf(zip_derived_cl76, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 1.22/1.03 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 1.22/1.03 thf(zip_derived_cl77, plain,
% 1.22/1.03 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 1.22/1.03 inference('demod', [status(thm)],
% 1.22/1.03 [zip_derived_cl2, zip_derived_cl0, zip_derived_cl76])).
% 1.22/1.03 thf(zip_derived_cl78, plain,
% 1.22/1.03 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 1.22/1.03 inference('demod', [status(thm)],
% 1.22/1.03 [zip_derived_cl3, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.03 zip_derived_cl77])).
% 1.22/1.03 thf(zip_derived_cl80, plain,
% 1.22/1.03 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.22/1.03 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 1.22/1.03 inference('demod', [status(thm)],
% 1.22/1.03 [zip_derived_cl4, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.03 zip_derived_cl77, zip_derived_cl78])).
% 1.22/1.03 thf(zip_derived_cl84, plain,
% 1.22/1.03 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.22/1.03 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 1.22/1.03 inference('demod', [status(thm)],
% 1.22/1.03 [zip_derived_cl7, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.03 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80])).
% 1.22/1.03 thf(zip_derived_cl88, plain,
% 1.22/1.03 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.22/1.03 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 1.22/1.03 inference('demod', [status(thm)],
% 1.22/1.03 [zip_derived_cl10, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.03 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.03 zip_derived_cl84])).
% 1.22/1.03 thf(zip_derived_cl91, plain,
% 1.22/1.03 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 1.22/1.04 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl13, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84, zip_derived_cl88])).
% 1.22/1.04 thf(zip_derived_cl93, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 1.22/1.04 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl16, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84, zip_derived_cl88, zip_derived_cl91])).
% 1.22/1.04 thf(zip_derived_cl94, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.22/1.04 X7 : $i, X8 : $i]:
% 1.22/1.04 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.22/1.04 X7 @ X8)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl17, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84, zip_derived_cl88, zip_derived_cl91,
% 1.22/1.04 zip_derived_cl93])).
% 1.22/1.04 thf(zip_derived_cl95, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.22/1.04 X7 : $i, X8 : $i, X9 : $i]:
% 1.22/1.04 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.22/1.04 X7 @ X8 @ X9)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl18, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84, zip_derived_cl88, zip_derived_cl91,
% 1.22/1.04 zip_derived_cl93, zip_derived_cl94])).
% 1.22/1.04 thf(zip_derived_cl97, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.22/1.04 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 1.22/1.04 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.22/1.04 X6 @ X7 @ X8 @ X9 @ X10)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl20, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84, zip_derived_cl88, zip_derived_cl91,
% 1.22/1.04 zip_derived_cl93, zip_derived_cl94, zip_derived_cl95])).
% 1.22/1.04 thf(zip_derived_cl100, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.22/1.04 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 1.22/1.04 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.22/1.04 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl21, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84, zip_derived_cl88, zip_derived_cl91,
% 1.22/1.04 zip_derived_cl93, zip_derived_cl94, zip_derived_cl95,
% 1.22/1.04 zip_derived_cl97])).
% 1.22/1.04 thf(clause25, conjecture,
% 1.22/1.04 (~( ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) |
% 1.22/1.04 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.22/1.04 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 1.22/1.04 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.22/1.04 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.22/1.04 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.22/1.04 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 1.22/1.04 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 1.22/1.04 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 1.22/1.04 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 1.22/1.04 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 1.22/1.04 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 1.22/1.04 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) ))).
% 1.22/1.04 thf(zf_stmt_15, negated_conjecture,
% 1.22/1.04 (( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) |
% 1.22/1.04 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.22/1.04 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.22/1.04 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.22/1.04 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.22/1.04 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 1.22/1.04 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 1.22/1.04 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 1.22/1.04 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 1.22/1.04 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 1.22/1.04 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 1.22/1.04 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) )),
% 1.22/1.04 inference('cnf.neg', [status(esa)], [clause25])).
% 1.22/1.04 thf(zip_derived_cl24, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.22/1.04 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 1.22/1.04 ( (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.22/1.04 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 1.22/1.04 | ~ (ssNder1_0)
% 1.22/1.04 | ~ (ssNder1_1r1 @ X0)
% 1.22/1.04 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 1.22/1.04 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 1.22/1.04 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 1.22/1.04 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 1.22/1.04 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 1.22/1.04 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 1.22/1.04 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.22/1.04 X7)
% 1.22/1.04 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.22/1.04 X6 @ X7 @ X8)
% 1.22/1.04 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.22/1.04 X6 @ X7 @ X8 @ X9)
% 1.22/1.04 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.22/1.04 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 1.22/1.04 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.22/1.04 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11))),
% 1.22/1.04 inference('cnf', [status(esa)], [zf_stmt_15])).
% 1.22/1.04 thf(zip_derived_cl0, plain, ( (ssNder1_0)),
% 1.22/1.04 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.22/1.04 thf(zip_derived_cl76, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 1.22/1.04 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 1.22/1.04 thf(zip_derived_cl77, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl2, zip_derived_cl0, zip_derived_cl76])).
% 1.22/1.04 thf(zip_derived_cl78, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl3, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77])).
% 1.22/1.04 thf(zip_derived_cl80, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.22/1.04 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl4, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78])).
% 1.22/1.04 thf(zip_derived_cl84, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.22/1.04 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl7, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80])).
% 1.22/1.04 thf(zip_derived_cl88, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.22/1.04 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl10, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84])).
% 1.22/1.04 thf(zip_derived_cl91, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 1.22/1.04 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl13, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84, zip_derived_cl88])).
% 1.22/1.04 thf(zip_derived_cl93, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 1.22/1.04 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl16, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84, zip_derived_cl88, zip_derived_cl91])).
% 1.22/1.04 thf(zip_derived_cl94, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.22/1.04 X7 : $i, X8 : $i]:
% 1.22/1.04 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.22/1.04 X7 @ X8)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl17, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84, zip_derived_cl88, zip_derived_cl91,
% 1.22/1.04 zip_derived_cl93])).
% 1.22/1.04 thf(zip_derived_cl95, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.22/1.04 X7 : $i, X8 : $i, X9 : $i]:
% 1.22/1.04 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.22/1.04 X7 @ X8 @ X9)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl18, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84, zip_derived_cl88, zip_derived_cl91,
% 1.22/1.04 zip_derived_cl93, zip_derived_cl94])).
% 1.22/1.04 thf(zip_derived_cl97, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.22/1.04 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 1.22/1.04 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.22/1.04 X6 @ X7 @ X8 @ X9 @ X10)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl20, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84, zip_derived_cl88, zip_derived_cl91,
% 1.22/1.04 zip_derived_cl93, zip_derived_cl94, zip_derived_cl95])).
% 1.22/1.04 thf(zip_derived_cl100, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.22/1.04 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 1.22/1.04 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.22/1.04 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl21, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84, zip_derived_cl88, zip_derived_cl91,
% 1.22/1.04 zip_derived_cl93, zip_derived_cl94, zip_derived_cl95,
% 1.22/1.04 zip_derived_cl97])).
% 1.22/1.04 thf(zip_derived_cl103, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.22/1.04 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 1.22/1.04 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.22/1.04 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl24, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84, zip_derived_cl88, zip_derived_cl91,
% 1.22/1.04 zip_derived_cl93, zip_derived_cl94, zip_derived_cl95,
% 1.22/1.04 zip_derived_cl97, zip_derived_cl100])).
% 1.22/1.04 thf(zip_derived_cl110, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.22/1.04 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 1.22/1.04 (ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.22/1.04 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ skc18)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl29, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84, zip_derived_cl88, zip_derived_cl91,
% 1.22/1.04 zip_derived_cl93, zip_derived_cl94, zip_derived_cl95,
% 1.22/1.04 zip_derived_cl97, zip_derived_cl100, zip_derived_cl103])).
% 1.22/1.04 thf(clause42, conjecture,
% 1.22/1.04 (~( ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.22/1.04 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssPv19_2r1r1 @ U @ V ) ) |
% 1.22/1.04 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.22/1.04 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.22/1.04 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.22/1.04 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 1.22/1.04 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 1.22/1.04 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 1.22/1.04 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 1.22/1.04 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 1.22/1.04 ( ~( ssPv11_10r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 1.22/1.04 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 1.22/1.04 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 1.22/1.04 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 1.22/1.04 ( ~( ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 1.22/1.04 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 1.22/1.04 ( ~( ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) ))).
% 1.22/1.04 thf(zf_stmt_16, negated_conjecture,
% 1.22/1.04 (( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.22/1.04 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssPv19_2r1r1 @ U @ V ) ) |
% 1.22/1.04 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.22/1.04 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.22/1.04 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.22/1.04 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 1.22/1.04 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 1.22/1.04 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 1.22/1.04 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 1.22/1.04 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 1.22/1.04 ( ~( ssPv11_10r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 1.22/1.04 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 1.22/1.04 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 1.22/1.04 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 1.22/1.04 ( ~( ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 1.22/1.04 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 1.22/1.04 ( ~( ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) )),
% 1.22/1.04 inference('cnf.neg', [status(esa)], [clause42])).
% 1.22/1.04 thf(zip_derived_cl41, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.22/1.04 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.22/1.04 X14 : $i]:
% 1.22/1.04 (~ (ssNder1_0)
% 1.22/1.04 | ~ (ssNder1_1r1 @ X0)
% 1.22/1.04 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 1.22/1.04 | ~ (ssPv19_2r1r1 @ X0 @ X1)
% 1.22/1.04 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 1.22/1.04 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 1.22/1.04 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 1.22/1.04 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 1.22/1.04 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 1.22/1.04 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.22/1.04 X7)
% 1.22/1.04 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.22/1.04 X6 @ X7 @ X8)
% 1.22/1.04 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.22/1.04 X6 @ X7 @ X8 @ X9)
% 1.22/1.04 | ~ (ssPv11_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.22/1.04 X6 @ X7 @ X8 @ X9)
% 1.22/1.04 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.22/1.04 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 1.22/1.04 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.22/1.04 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 1.22/1.04 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.22/1.04 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 1.22/1.04 | ~ (ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 1.22/1.04 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 1.22/1.04 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 1.22/1.04 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 1.22/1.04 | ~ (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.22/1.04 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13))),
% 1.22/1.04 inference('cnf', [status(esa)], [zf_stmt_16])).
% 1.22/1.04 thf(zip_derived_cl0, plain, ( (ssNder1_0)),
% 1.22/1.04 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.22/1.04 thf(zip_derived_cl76, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 1.22/1.04 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 1.22/1.04 thf(zip_derived_cl77, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl2, zip_derived_cl0, zip_derived_cl76])).
% 1.22/1.04 thf(zip_derived_cl78, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl3, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77])).
% 1.22/1.04 thf(zip_derived_cl80, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.22/1.04 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl4, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78])).
% 1.22/1.04 thf(zip_derived_cl84, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.22/1.04 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl7, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80])).
% 1.22/1.04 thf(zip_derived_cl88, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.22/1.04 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl10, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84])).
% 1.22/1.04 thf(zip_derived_cl91, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 1.22/1.04 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl13, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84, zip_derived_cl88])).
% 1.22/1.04 thf(zip_derived_cl93, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 1.22/1.04 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl16, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84, zip_derived_cl88, zip_derived_cl91])).
% 1.22/1.04 thf(zip_derived_cl94, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.22/1.04 X7 : $i, X8 : $i]:
% 1.22/1.04 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.22/1.04 X7 @ X8)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl17, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84, zip_derived_cl88, zip_derived_cl91,
% 1.22/1.04 zip_derived_cl93])).
% 1.22/1.04 thf(zip_derived_cl95, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.22/1.04 X7 : $i, X8 : $i, X9 : $i]:
% 1.22/1.04 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.22/1.04 X7 @ X8 @ X9)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl18, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84, zip_derived_cl88, zip_derived_cl91,
% 1.22/1.04 zip_derived_cl93, zip_derived_cl94])).
% 1.22/1.04 thf(zip_derived_cl97, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.22/1.04 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 1.22/1.04 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.22/1.04 X6 @ X7 @ X8 @ X9 @ X10)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl20, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84, zip_derived_cl88, zip_derived_cl91,
% 1.22/1.04 zip_derived_cl93, zip_derived_cl94, zip_derived_cl95])).
% 1.22/1.04 thf(zip_derived_cl100, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.22/1.04 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 1.22/1.04 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.22/1.04 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl21, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84, zip_derived_cl88, zip_derived_cl91,
% 1.22/1.04 zip_derived_cl93, zip_derived_cl94, zip_derived_cl95,
% 1.22/1.04 zip_derived_cl97])).
% 1.22/1.04 thf(zip_derived_cl103, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.22/1.04 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 1.22/1.04 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.22/1.04 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl24, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84, zip_derived_cl88, zip_derived_cl91,
% 1.22/1.04 zip_derived_cl93, zip_derived_cl94, zip_derived_cl95,
% 1.22/1.04 zip_derived_cl97, zip_derived_cl100])).
% 1.22/1.04 thf(clause28, conjecture,
% 1.22/1.04 (~( ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) |
% 1.22/1.04 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.22/1.04 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 1.22/1.04 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.22/1.04 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.22/1.04 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.22/1.04 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 1.22/1.04 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 1.22/1.04 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 1.22/1.04 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 1.22/1.04 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 1.22/1.04 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 1.22/1.04 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 1.22/1.04 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) ))).
% 1.22/1.04 thf(zf_stmt_17, negated_conjecture,
% 1.22/1.04 (( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) |
% 1.22/1.04 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.22/1.04 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.22/1.04 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.22/1.04 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.22/1.04 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 1.22/1.04 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 1.22/1.04 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 1.22/1.04 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 1.22/1.04 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 1.22/1.04 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 1.22/1.04 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 1.22/1.04 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) )),
% 1.22/1.04 inference('cnf.neg', [status(esa)], [clause28])).
% 1.22/1.04 thf(zip_derived_cl27, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.22/1.04 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 1.22/1.04 ( (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.22/1.04 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 1.22/1.04 | ~ (ssNder1_0)
% 1.22/1.04 | ~ (ssNder1_1r1 @ X0)
% 1.22/1.04 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 1.22/1.04 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 1.22/1.04 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 1.22/1.04 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 1.22/1.04 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 1.22/1.04 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 1.22/1.04 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.22/1.04 X7)
% 1.22/1.04 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.22/1.04 X6 @ X7 @ X8)
% 1.22/1.04 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.22/1.04 X6 @ X7 @ X8 @ X9)
% 1.22/1.04 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.22/1.04 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 1.22/1.04 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.22/1.04 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 1.22/1.04 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.22/1.04 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12))),
% 1.22/1.04 inference('cnf', [status(esa)], [zf_stmt_17])).
% 1.22/1.04 thf(zip_derived_cl0, plain, ( (ssNder1_0)),
% 1.22/1.04 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.22/1.04 thf(zip_derived_cl76, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 1.22/1.04 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 1.22/1.04 thf(zip_derived_cl77, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl2, zip_derived_cl0, zip_derived_cl76])).
% 1.22/1.04 thf(zip_derived_cl78, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl3, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77])).
% 1.22/1.04 thf(zip_derived_cl80, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.22/1.04 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl4, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78])).
% 1.22/1.04 thf(zip_derived_cl84, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.22/1.04 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl7, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80])).
% 1.22/1.04 thf(zip_derived_cl88, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.22/1.04 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl10, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84])).
% 1.22/1.04 thf(zip_derived_cl91, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 1.22/1.04 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl13, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84, zip_derived_cl88])).
% 1.22/1.04 thf(zip_derived_cl93, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 1.22/1.04 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl16, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84, zip_derived_cl88, zip_derived_cl91])).
% 1.22/1.04 thf(zip_derived_cl94, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.22/1.04 X7 : $i, X8 : $i]:
% 1.22/1.04 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.22/1.04 X7 @ X8)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl17, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84, zip_derived_cl88, zip_derived_cl91,
% 1.22/1.04 zip_derived_cl93])).
% 1.22/1.04 thf(zip_derived_cl95, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.22/1.04 X7 : $i, X8 : $i, X9 : $i]:
% 1.22/1.04 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.22/1.04 X7 @ X8 @ X9)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl18, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84, zip_derived_cl88, zip_derived_cl91,
% 1.22/1.04 zip_derived_cl93, zip_derived_cl94])).
% 1.22/1.04 thf(zip_derived_cl97, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.22/1.04 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 1.22/1.04 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.22/1.04 X6 @ X7 @ X8 @ X9 @ X10)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl20, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84, zip_derived_cl88, zip_derived_cl91,
% 1.22/1.04 zip_derived_cl93, zip_derived_cl94, zip_derived_cl95])).
% 1.22/1.04 thf(zip_derived_cl100, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.22/1.04 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 1.22/1.04 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.22/1.04 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl21, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84, zip_derived_cl88, zip_derived_cl91,
% 1.22/1.04 zip_derived_cl93, zip_derived_cl94, zip_derived_cl95,
% 1.22/1.04 zip_derived_cl97])).
% 1.22/1.04 thf(zip_derived_cl103, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.22/1.04 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 1.22/1.04 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.22/1.04 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl24, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84, zip_derived_cl88, zip_derived_cl91,
% 1.22/1.04 zip_derived_cl93, zip_derived_cl94, zip_derived_cl95,
% 1.22/1.04 zip_derived_cl97, zip_derived_cl100])).
% 1.22/1.04 thf(zip_derived_cl108, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.22/1.04 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 1.22/1.04 (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.22/1.04 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl27, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84, zip_derived_cl88, zip_derived_cl91,
% 1.22/1.04 zip_derived_cl93, zip_derived_cl94, zip_derived_cl95,
% 1.22/1.04 zip_derived_cl97, zip_derived_cl100, zip_derived_cl103])).
% 1.22/1.04 thf(zip_derived_cl115, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.22/1.04 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.22/1.04 X14 : $i]:
% 1.22/1.04 (~ (ssPv19_2r1r1 @ X0 @ X1)
% 1.22/1.04 | ~ (ssPv11_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.22/1.04 X6 @ X7 @ X8 @ X9)
% 1.22/1.04 | ~ (ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 1.22/1.04 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 1.22/1.04 | ~ (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.22/1.04 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13))),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl41, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84, zip_derived_cl88, zip_derived_cl91,
% 1.22/1.04 zip_derived_cl93, zip_derived_cl94, zip_derived_cl95,
% 1.22/1.04 zip_derived_cl97, zip_derived_cl100, zip_derived_cl103,
% 1.22/1.04 zip_derived_cl108])).
% 1.22/1.04 thf(zip_derived_cl159, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.22/1.04 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 1.22/1.04 (~ (ssPv19_2r1r1 @ X13 @ X12)
% 1.22/1.04 | ~ (ssPv11_10r1r1r1r1r1r1r1r1r1r1 @ X13 @ X12 @ X11 @ X10 @ X9 @
% 1.22/1.04 X8 @ X7 @ X6 @ X5 @ X4)
% 1.22/1.04 | ~ (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X13 @ X12 @ X11 @ X10 @
% 1.22/1.04 X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0))),
% 1.22/1.04 inference('s_sup-', [status(thm)], [zip_derived_cl110, zip_derived_cl115])).
% 1.22/1.04 thf(zip_derived_cl160, plain,
% 1.22/1.04 (![X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i, X8 : $i, X9 : $i,
% 1.22/1.04 X10 : $i, X11 : $i, X12 : $i]:
% 1.22/1.04 (~ (ssPv19_2r1r1 @ X12 @ X11)
% 1.22/1.04 | ~ (ssPv11_10r1r1r1r1r1r1r1r1r1r1 @ X12 @ X11 @ X10 @ X9 @ X8 @
% 1.22/1.04 X7 @ X6 @ X5 @ X4 @ X3))),
% 1.22/1.04 inference('s_sup-', [status(thm)], [zip_derived_cl105, zip_derived_cl159])).
% 1.22/1.04 thf(zip_derived_cl105, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.22/1.04 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 1.22/1.04 (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.22/1.04 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ skc20)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl25, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84, zip_derived_cl88, zip_derived_cl91,
% 1.22/1.04 zip_derived_cl93, zip_derived_cl94, zip_derived_cl95,
% 1.22/1.04 zip_derived_cl97, zip_derived_cl100])).
% 1.22/1.04 thf(zip_derived_cl110, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.22/1.04 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 1.22/1.04 (ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.22/1.04 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ skc18)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl29, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84, zip_derived_cl88, zip_derived_cl91,
% 1.22/1.04 zip_derived_cl93, zip_derived_cl94, zip_derived_cl95,
% 1.22/1.04 zip_derived_cl97, zip_derived_cl100, zip_derived_cl103])).
% 1.22/1.04 thf(clause45, conjecture,
% 1.22/1.04 (~( ( ssPv11_10r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) |
% 1.22/1.04 ( ssPv10_11r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) |
% 1.22/1.04 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.22/1.04 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 1.22/1.04 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.22/1.04 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.22/1.04 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.22/1.04 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 1.22/1.04 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 1.22/1.04 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 1.22/1.04 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 1.22/1.04 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 1.22/1.04 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 1.22/1.04 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 1.22/1.04 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 1.22/1.04 ( ~( ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 1.22/1.04 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 1.22/1.04 ( ~( ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) ))).
% 1.22/1.04 thf(zf_stmt_18, negated_conjecture,
% 1.22/1.04 (( ssPv11_10r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) |
% 1.22/1.04 ( ssPv10_11r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) |
% 1.22/1.04 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.22/1.04 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.22/1.04 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.22/1.04 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.22/1.04 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 1.22/1.04 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 1.22/1.04 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 1.22/1.04 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 1.22/1.04 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 1.22/1.04 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 1.22/1.04 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 1.22/1.04 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 1.22/1.04 ( ~( ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 1.22/1.04 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 1.22/1.04 ( ~( ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) )),
% 1.22/1.04 inference('cnf.neg', [status(esa)], [clause45])).
% 1.22/1.04 thf(zip_derived_cl44, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.22/1.04 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.22/1.04 X14 : $i]:
% 1.22/1.04 ( (ssPv11_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.22/1.04 X7 @ X8 @ X9)
% 1.22/1.04 | (ssPv10_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.22/1.04 X6 @ X7 @ X8 @ X9 @ X10)
% 1.22/1.04 | ~ (ssNder1_0)
% 1.22/1.04 | ~ (ssNder1_1r1 @ X0)
% 1.22/1.04 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 1.22/1.04 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 1.22/1.04 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 1.22/1.04 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 1.22/1.04 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 1.22/1.04 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 1.22/1.04 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.22/1.04 X7)
% 1.22/1.04 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.22/1.04 X6 @ X7 @ X8)
% 1.22/1.04 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.22/1.04 X6 @ X7 @ X8 @ X9)
% 1.22/1.04 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.22/1.04 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 1.22/1.04 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.22/1.04 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 1.22/1.04 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.22/1.04 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 1.22/1.04 | ~ (ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 1.22/1.04 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 1.22/1.04 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 1.22/1.04 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 1.22/1.04 | ~ (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.22/1.04 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13))),
% 1.22/1.04 inference('cnf', [status(esa)], [zf_stmt_18])).
% 1.22/1.04 thf(zip_derived_cl0, plain, ( (ssNder1_0)),
% 1.22/1.04 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.22/1.04 thf(zip_derived_cl76, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 1.22/1.04 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 1.22/1.04 thf(zip_derived_cl77, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl2, zip_derived_cl0, zip_derived_cl76])).
% 1.22/1.04 thf(zip_derived_cl78, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl3, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77])).
% 1.22/1.04 thf(zip_derived_cl80, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.22/1.04 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl4, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78])).
% 1.22/1.04 thf(zip_derived_cl84, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.22/1.04 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl7, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80])).
% 1.22/1.04 thf(zip_derived_cl88, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.22/1.04 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl10, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84])).
% 1.22/1.04 thf(zip_derived_cl91, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 1.22/1.04 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl13, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84, zip_derived_cl88])).
% 1.22/1.04 thf(zip_derived_cl93, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 1.22/1.04 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl16, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84, zip_derived_cl88, zip_derived_cl91])).
% 1.22/1.04 thf(zip_derived_cl94, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.22/1.04 X7 : $i, X8 : $i]:
% 1.22/1.04 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.22/1.04 X7 @ X8)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl17, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84, zip_derived_cl88, zip_derived_cl91,
% 1.22/1.04 zip_derived_cl93])).
% 1.22/1.04 thf(zip_derived_cl95, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.22/1.04 X7 : $i, X8 : $i, X9 : $i]:
% 1.22/1.04 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.22/1.04 X7 @ X8 @ X9)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl18, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84, zip_derived_cl88, zip_derived_cl91,
% 1.22/1.04 zip_derived_cl93, zip_derived_cl94])).
% 1.22/1.04 thf(zip_derived_cl97, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.22/1.04 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 1.22/1.04 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.22/1.04 X6 @ X7 @ X8 @ X9 @ X10)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl20, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84, zip_derived_cl88, zip_derived_cl91,
% 1.22/1.04 zip_derived_cl93, zip_derived_cl94, zip_derived_cl95])).
% 1.22/1.04 thf(zip_derived_cl100, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.22/1.04 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 1.22/1.04 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.22/1.04 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl21, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84, zip_derived_cl88, zip_derived_cl91,
% 1.22/1.04 zip_derived_cl93, zip_derived_cl94, zip_derived_cl95,
% 1.22/1.04 zip_derived_cl97])).
% 1.22/1.04 thf(zip_derived_cl103, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.22/1.04 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 1.22/1.04 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.22/1.04 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl24, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84, zip_derived_cl88, zip_derived_cl91,
% 1.22/1.04 zip_derived_cl93, zip_derived_cl94, zip_derived_cl95,
% 1.22/1.04 zip_derived_cl97, zip_derived_cl100])).
% 1.22/1.04 thf(zip_derived_cl108, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.22/1.04 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 1.22/1.04 (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.22/1.04 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl27, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84, zip_derived_cl88, zip_derived_cl91,
% 1.22/1.04 zip_derived_cl93, zip_derived_cl94, zip_derived_cl95,
% 1.22/1.04 zip_derived_cl97, zip_derived_cl100, zip_derived_cl103])).
% 1.22/1.04 thf(zip_derived_cl122, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.22/1.04 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.22/1.04 X14 : $i]:
% 1.22/1.04 ( (ssPv11_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.22/1.04 X7 @ X8 @ X9)
% 1.22/1.04 | (ssPv10_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.22/1.04 X6 @ X7 @ X8 @ X9 @ X10)
% 1.22/1.04 | ~ (ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 1.22/1.04 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 1.22/1.04 | ~ (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.22/1.04 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13))),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl44, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84, zip_derived_cl88, zip_derived_cl91,
% 1.22/1.04 zip_derived_cl93, zip_derived_cl94, zip_derived_cl95,
% 1.22/1.04 zip_derived_cl97, zip_derived_cl100, zip_derived_cl103,
% 1.22/1.04 zip_derived_cl108])).
% 1.22/1.04 thf(zip_derived_cl176, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.22/1.04 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 1.22/1.04 ( (ssPv11_10r1r1r1r1r1r1r1r1r1r1 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @
% 1.22/1.04 X7 @ X6 @ X5 @ X4)
% 1.22/1.04 | (ssPv10_11r1r1r1r1r1r1r1r1r1r1r1 @ X13 @ X12 @ X11 @ X10 @ X9 @
% 1.22/1.04 X8 @ X7 @ X6 @ X5 @ X4 @ X3)
% 1.22/1.04 | ~ (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X13 @ X12 @ X11 @ X10 @
% 1.22/1.04 X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0))),
% 1.22/1.04 inference('s_sup-', [status(thm)], [zip_derived_cl110, zip_derived_cl122])).
% 1.22/1.04 thf(zip_derived_cl182, plain,
% 1.22/1.04 (![X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i, X8 : $i,
% 1.22/1.04 X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 1.22/1.04 ( (ssPv11_10r1r1r1r1r1r1r1r1r1r1 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @
% 1.22/1.04 X6 @ X5 @ X4 @ X3)
% 1.22/1.04 | (ssPv10_11r1r1r1r1r1r1r1r1r1r1r1 @ X12 @ X11 @ X10 @ X9 @ X8 @
% 1.22/1.04 X7 @ X6 @ X5 @ X4 @ X3 @ X2))),
% 1.22/1.04 inference('s_sup-', [status(thm)], [zip_derived_cl105, zip_derived_cl176])).
% 1.22/1.04 thf(zip_derived_cl110, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.22/1.04 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 1.22/1.04 (ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.22/1.04 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ skc18)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl29, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84, zip_derived_cl88, zip_derived_cl91,
% 1.22/1.04 zip_derived_cl93, zip_derived_cl94, zip_derived_cl95,
% 1.22/1.04 zip_derived_cl97, zip_derived_cl100, zip_derived_cl103])).
% 1.22/1.04 thf(clause41, conjecture,
% 1.22/1.04 (~( ( ssPv20_1r1 @ U ) |
% 1.22/1.04 ( ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) |
% 1.22/1.04 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.22/1.04 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 1.22/1.04 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.22/1.04 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.22/1.04 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.22/1.04 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 1.22/1.04 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 1.22/1.04 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 1.22/1.04 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 1.22/1.04 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 1.22/1.04 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 1.22/1.04 ( ~( ssPv10_11r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 1.22/1.04 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 1.22/1.04 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 1.22/1.04 ( ~( ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 1.22/1.04 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) ))).
% 1.22/1.04 thf(zf_stmt_19, negated_conjecture,
% 1.22/1.04 (( ssPv20_1r1 @ U ) |
% 1.22/1.04 ( ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) |
% 1.22/1.04 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.22/1.04 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.22/1.04 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.22/1.04 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.22/1.04 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 1.22/1.04 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 1.22/1.04 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 1.22/1.04 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 1.22/1.04 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 1.22/1.04 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 1.22/1.04 ( ~( ssPv10_11r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 1.22/1.04 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 1.22/1.04 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 1.22/1.04 ( ~( ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 1.22/1.04 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) )),
% 1.22/1.04 inference('cnf.neg', [status(esa)], [clause41])).
% 1.22/1.04 thf(zip_derived_cl40, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.22/1.04 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.22/1.04 X14 : $i]:
% 1.22/1.04 ( (ssPv20_1r1 @ X0)
% 1.22/1.04 | (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.22/1.04 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 1.22/1.04 | ~ (ssNder1_0)
% 1.22/1.04 | ~ (ssNder1_1r1 @ X0)
% 1.22/1.04 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 1.22/1.04 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 1.22/1.04 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 1.22/1.04 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 1.22/1.04 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 1.22/1.04 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 1.22/1.04 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.22/1.04 X7)
% 1.22/1.04 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.22/1.04 X6 @ X7 @ X8)
% 1.22/1.04 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.22/1.04 X6 @ X7 @ X8 @ X9)
% 1.22/1.04 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.22/1.04 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 1.22/1.04 | ~ (ssPv10_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.22/1.04 X6 @ X7 @ X8 @ X9 @ X10)
% 1.22/1.04 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.22/1.04 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 1.22/1.04 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.22/1.04 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 1.22/1.04 | ~ (ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 1.22/1.04 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 1.22/1.04 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 1.22/1.04 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13))),
% 1.22/1.04 inference('cnf', [status(esa)], [zf_stmt_19])).
% 1.22/1.04 thf(zip_derived_cl0, plain, ( (ssNder1_0)),
% 1.22/1.04 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.22/1.04 thf(zip_derived_cl76, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 1.22/1.04 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 1.22/1.04 thf(zip_derived_cl77, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl2, zip_derived_cl0, zip_derived_cl76])).
% 1.22/1.04 thf(zip_derived_cl78, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl3, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77])).
% 1.22/1.04 thf(zip_derived_cl80, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.22/1.04 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl4, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78])).
% 1.22/1.04 thf(zip_derived_cl84, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.22/1.04 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl7, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80])).
% 1.22/1.04 thf(zip_derived_cl88, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.22/1.04 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl10, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84])).
% 1.22/1.04 thf(zip_derived_cl91, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 1.22/1.04 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl13, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84, zip_derived_cl88])).
% 1.22/1.04 thf(zip_derived_cl93, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 1.22/1.04 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl16, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84, zip_derived_cl88, zip_derived_cl91])).
% 1.22/1.04 thf(zip_derived_cl94, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.22/1.04 X7 : $i, X8 : $i]:
% 1.22/1.04 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.22/1.04 X7 @ X8)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl17, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84, zip_derived_cl88, zip_derived_cl91,
% 1.22/1.04 zip_derived_cl93])).
% 1.22/1.04 thf(zip_derived_cl95, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.22/1.04 X7 : $i, X8 : $i, X9 : $i]:
% 1.22/1.04 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.22/1.04 X7 @ X8 @ X9)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl18, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84, zip_derived_cl88, zip_derived_cl91,
% 1.22/1.04 zip_derived_cl93, zip_derived_cl94])).
% 1.22/1.04 thf(zip_derived_cl97, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.22/1.04 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 1.22/1.04 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.22/1.04 X6 @ X7 @ X8 @ X9 @ X10)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl20, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84, zip_derived_cl88, zip_derived_cl91,
% 1.22/1.04 zip_derived_cl93, zip_derived_cl94, zip_derived_cl95])).
% 1.22/1.04 thf(zip_derived_cl100, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.22/1.04 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 1.22/1.04 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.22/1.04 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl21, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84, zip_derived_cl88, zip_derived_cl91,
% 1.22/1.04 zip_derived_cl93, zip_derived_cl94, zip_derived_cl95,
% 1.22/1.04 zip_derived_cl97])).
% 1.22/1.04 thf(zip_derived_cl103, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.22/1.04 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 1.22/1.04 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.22/1.04 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl24, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84, zip_derived_cl88, zip_derived_cl91,
% 1.22/1.04 zip_derived_cl93, zip_derived_cl94, zip_derived_cl95,
% 1.22/1.04 zip_derived_cl97, zip_derived_cl100])).
% 1.22/1.04 thf(zip_derived_cl108, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.22/1.04 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 1.22/1.04 (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.22/1.04 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl27, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84, zip_derived_cl88, zip_derived_cl91,
% 1.22/1.04 zip_derived_cl93, zip_derived_cl94, zip_derived_cl95,
% 1.22/1.04 zip_derived_cl97, zip_derived_cl100, zip_derived_cl103])).
% 1.22/1.04 thf(zip_derived_cl120, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.22/1.04 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.22/1.04 X14 : $i]:
% 1.22/1.04 ( (ssPv20_1r1 @ X0)
% 1.22/1.04 | (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.22/1.04 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 1.22/1.04 | ~ (ssPv10_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.22/1.04 X6 @ X7 @ X8 @ X9 @ X10)
% 1.22/1.04 | ~ (ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 1.22/1.04 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14))),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl40, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84, zip_derived_cl88, zip_derived_cl91,
% 1.22/1.04 zip_derived_cl93, zip_derived_cl94, zip_derived_cl95,
% 1.22/1.04 zip_derived_cl97, zip_derived_cl100, zip_derived_cl103,
% 1.22/1.04 zip_derived_cl108])).
% 1.22/1.04 thf(zip_derived_cl165, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.22/1.04 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 1.22/1.04 ( (ssPv20_1r1 @ X13)
% 1.22/1.04 | (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X13 @ X12 @ X11 @ X10 @
% 1.22/1.04 X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 1.22/1.04 | ~ (ssPv10_11r1r1r1r1r1r1r1r1r1r1r1 @ X13 @ X12 @ X11 @ X10 @ X9 @
% 1.22/1.04 X8 @ X7 @ X6 @ X5 @ X4 @ X3))),
% 1.22/1.04 inference('s_sup-', [status(thm)], [zip_derived_cl110, zip_derived_cl120])).
% 1.22/1.04 thf(clause23, conjecture,
% 1.22/1.04 (~( ( ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ skc22 ) |
% 1.22/1.04 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.22/1.04 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 1.22/1.04 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.22/1.04 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.22/1.04 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.22/1.04 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 1.22/1.04 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 1.22/1.04 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 1.22/1.04 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 1.22/1.04 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 1.22/1.04 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) ))).
% 1.22/1.04 thf(zf_stmt_20, negated_conjecture,
% 1.22/1.04 (( ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ skc22 ) |
% 1.22/1.04 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.22/1.04 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.22/1.04 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.22/1.04 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.22/1.04 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 1.22/1.04 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 1.22/1.04 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 1.22/1.04 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 1.22/1.04 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 1.22/1.04 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) )),
% 1.22/1.04 inference('cnf.neg', [status(esa)], [clause23])).
% 1.22/1.04 thf(zip_derived_cl22, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.22/1.04 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 1.22/1.04 ( (ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.22/1.04 X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ skc22)
% 1.22/1.04 | ~ (ssNder1_0)
% 1.22/1.04 | ~ (ssNder1_1r1 @ X0)
% 1.22/1.04 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 1.22/1.04 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 1.22/1.04 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 1.22/1.04 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 1.22/1.04 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 1.22/1.04 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 1.22/1.04 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.22/1.04 X7)
% 1.22/1.04 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.22/1.04 X6 @ X7 @ X8)
% 1.22/1.04 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.22/1.04 X6 @ X7 @ X8 @ X9)
% 1.22/1.04 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.22/1.04 X5 @ X6 @ X7 @ X8 @ X9 @ X10))),
% 1.22/1.04 inference('cnf', [status(esa)], [zf_stmt_20])).
% 1.22/1.04 thf(zip_derived_cl0, plain, ( (ssNder1_0)),
% 1.22/1.04 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.22/1.04 thf(zip_derived_cl76, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 1.22/1.04 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 1.22/1.04 thf(zip_derived_cl77, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl2, zip_derived_cl0, zip_derived_cl76])).
% 1.22/1.04 thf(zip_derived_cl78, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl3, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77])).
% 1.22/1.04 thf(zip_derived_cl80, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.22/1.04 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl4, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78])).
% 1.22/1.04 thf(zip_derived_cl84, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.22/1.04 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl7, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80])).
% 1.22/1.04 thf(zip_derived_cl88, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.22/1.04 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl10, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84])).
% 1.22/1.04 thf(zip_derived_cl91, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 1.22/1.04 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl13, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84, zip_derived_cl88])).
% 1.22/1.04 thf(zip_derived_cl93, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 1.22/1.04 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl16, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84, zip_derived_cl88, zip_derived_cl91])).
% 1.22/1.04 thf(zip_derived_cl94, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.22/1.04 X7 : $i, X8 : $i]:
% 1.22/1.04 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.22/1.04 X7 @ X8)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl17, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84, zip_derived_cl88, zip_derived_cl91,
% 1.22/1.04 zip_derived_cl93])).
% 1.22/1.04 thf(zip_derived_cl95, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.22/1.04 X7 : $i, X8 : $i, X9 : $i]:
% 1.22/1.04 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.22/1.04 X7 @ X8 @ X9)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl18, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84, zip_derived_cl88, zip_derived_cl91,
% 1.22/1.04 zip_derived_cl93, zip_derived_cl94])).
% 1.22/1.04 thf(zip_derived_cl97, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.22/1.04 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 1.22/1.04 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.22/1.04 X6 @ X7 @ X8 @ X9 @ X10)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl20, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84, zip_derived_cl88, zip_derived_cl91,
% 1.22/1.04 zip_derived_cl93, zip_derived_cl94, zip_derived_cl95])).
% 1.22/1.04 thf(zip_derived_cl102, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.22/1.04 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 1.22/1.04 (ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.22/1.04 X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ skc22)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl22, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84, zip_derived_cl88, zip_derived_cl91,
% 1.22/1.04 zip_derived_cl93, zip_derived_cl94, zip_derived_cl95,
% 1.22/1.04 zip_derived_cl97])).
% 1.22/1.04 thf(clause58, conjecture,
% 1.22/1.04 (~( ( ssPv14_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) |
% 1.22/1.04 ( ssPv13_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) |
% 1.22/1.04 ( ssPv2_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 1.22/1.04 X10 @ X11 @ X12 @ X13 ) |
% 1.22/1.04 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.22/1.04 ( ~( ssPv20_1r1 @ U ) ) | ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 1.22/1.04 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.22/1.04 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.22/1.04 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.22/1.04 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 1.22/1.04 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 1.22/1.04 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 1.22/1.04 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 1.22/1.04 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 1.22/1.04 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 1.22/1.04 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 1.22/1.04 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 1.22/1.04 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 1.22/1.04 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 1.22/1.04 ( ~( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 1.22/1.04 X9 @ X10 ) ) |
% 1.22/1.04 ( ~( ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 1.22/1.04 X9 @ X10 @ X11 ) ) |
% 1.22/1.04 ( ~( ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 1.22/1.04 X9 @ X10 @ X11 @ X12 ) ) ))).
% 1.22/1.04 thf(zf_stmt_21, negated_conjecture,
% 1.22/1.04 (( ssPv14_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) |
% 1.22/1.04 ( ssPv13_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) |
% 1.22/1.04 ( ssPv2_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 1.22/1.04 X10 @ X11 @ X12 @ X13 ) |
% 1.22/1.04 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) | ( ~( ssPv20_1r1 @ U ) ) |
% 1.22/1.04 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.22/1.04 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.22/1.04 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.22/1.04 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 1.22/1.04 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 1.22/1.04 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 1.22/1.04 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 1.22/1.04 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 1.22/1.04 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 1.22/1.04 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 1.22/1.04 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 1.22/1.04 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 1.22/1.04 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 1.22/1.04 ( ~( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 1.22/1.04 X10 ) ) |
% 1.22/1.04 ( ~( ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 1.22/1.04 X10 @ X11 ) ) |
% 1.22/1.04 ( ~( ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 1.22/1.04 X10 @ X11 @ X12 ) )),
% 1.22/1.04 inference('cnf.neg', [status(esa)], [clause58])).
% 1.22/1.04 thf(zip_derived_cl57, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.22/1.04 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.22/1.04 X14 : $i, X15 : $i, X16 : $i, X17 : $i, X18 : $i]:
% 1.22/1.04 ( (ssPv14_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 1.22/1.04 | (ssPv13_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)
% 1.22/1.04 | (ssPv2_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 1.22/1.04 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @
% 1.22/1.04 X15 @ X16 @ X17 @ X18)
% 1.22/1.04 | ~ (ssNder1_0)
% 1.22/1.04 | ~ (ssNder1_1r1 @ X0)
% 1.22/1.04 | ~ (ssPv20_1r1 @ X0)
% 1.22/1.04 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 1.22/1.04 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 1.22/1.04 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 1.22/1.04 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 1.22/1.04 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 1.22/1.04 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 1.22/1.04 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.22/1.04 X7)
% 1.22/1.04 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.22/1.04 X6 @ X7 @ X8)
% 1.22/1.04 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.22/1.04 X6 @ X7 @ X8 @ X9)
% 1.22/1.04 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.22/1.04 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 1.22/1.04 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.22/1.04 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 1.22/1.04 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.22/1.04 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 1.22/1.04 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 1.22/1.04 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 1.22/1.04 | ~ (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 1.22/1.04 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 1.22/1.04 | ~ (ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 1.22/1.04 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 1.22/1.04 X14 @ X15)
% 1.22/1.04 | ~ (ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 1.22/1.04 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 1.22/1.04 X14 @ X15 @ X16)
% 1.22/1.04 | ~ (ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 1.22/1.04 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 1.22/1.04 X14 @ X15 @ X16 @ X17))),
% 1.22/1.04 inference('cnf', [status(esa)], [zf_stmt_21])).
% 1.22/1.04 thf(zip_derived_cl0, plain, ( (ssNder1_0)),
% 1.22/1.04 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.22/1.04 thf(zip_derived_cl76, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 1.22/1.04 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 1.22/1.04 thf(zip_derived_cl77, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl2, zip_derived_cl0, zip_derived_cl76])).
% 1.22/1.04 thf(zip_derived_cl78, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl3, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77])).
% 1.22/1.04 thf(zip_derived_cl80, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.22/1.04 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl4, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78])).
% 1.22/1.04 thf(zip_derived_cl84, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.22/1.04 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl7, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80])).
% 1.22/1.04 thf(zip_derived_cl88, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.22/1.04 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl10, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84])).
% 1.22/1.04 thf(zip_derived_cl91, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 1.22/1.04 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl13, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84, zip_derived_cl88])).
% 1.22/1.04 thf(zip_derived_cl93, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 1.22/1.04 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl16, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84, zip_derived_cl88, zip_derived_cl91])).
% 1.22/1.04 thf(zip_derived_cl94, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.22/1.04 X7 : $i, X8 : $i]:
% 1.22/1.04 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.22/1.04 X7 @ X8)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl17, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84, zip_derived_cl88, zip_derived_cl91,
% 1.22/1.04 zip_derived_cl93])).
% 1.22/1.04 thf(zip_derived_cl95, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.22/1.04 X7 : $i, X8 : $i, X9 : $i]:
% 1.22/1.04 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.22/1.04 X7 @ X8 @ X9)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl18, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84, zip_derived_cl88, zip_derived_cl91,
% 1.22/1.04 zip_derived_cl93, zip_derived_cl94])).
% 1.22/1.04 thf(zip_derived_cl97, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.22/1.04 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 1.22/1.04 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.22/1.04 X6 @ X7 @ X8 @ X9 @ X10)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl20, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84, zip_derived_cl88, zip_derived_cl91,
% 1.22/1.04 zip_derived_cl93, zip_derived_cl94, zip_derived_cl95])).
% 1.22/1.04 thf(zip_derived_cl100, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.22/1.04 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 1.22/1.04 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.22/1.04 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl21, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84, zip_derived_cl88, zip_derived_cl91,
% 1.22/1.04 zip_derived_cl93, zip_derived_cl94, zip_derived_cl95,
% 1.22/1.04 zip_derived_cl97])).
% 1.22/1.04 thf(zip_derived_cl103, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.22/1.04 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 1.22/1.04 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.22/1.04 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl24, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84, zip_derived_cl88, zip_derived_cl91,
% 1.22/1.04 zip_derived_cl93, zip_derived_cl94, zip_derived_cl95,
% 1.22/1.04 zip_derived_cl97, zip_derived_cl100])).
% 1.22/1.04 thf(zip_derived_cl108, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.22/1.04 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 1.22/1.04 (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.22/1.04 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl27, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84, zip_derived_cl88, zip_derived_cl91,
% 1.22/1.04 zip_derived_cl93, zip_derived_cl94, zip_derived_cl95,
% 1.22/1.04 zip_derived_cl97, zip_derived_cl100, zip_derived_cl103])).
% 1.22/1.04 thf(clause35, conjecture,
% 1.22/1.04 (~( ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) |
% 1.22/1.04 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.22/1.04 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 1.22/1.04 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.22/1.04 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.22/1.04 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.22/1.04 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 1.22/1.04 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 1.22/1.04 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 1.22/1.04 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 1.22/1.04 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 1.22/1.04 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 1.22/1.04 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 1.22/1.04 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 1.22/1.04 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) ))).
% 1.22/1.04 thf(zf_stmt_22, negated_conjecture,
% 1.22/1.04 (( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) |
% 1.22/1.04 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.22/1.04 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.22/1.04 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.22/1.04 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.22/1.04 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 1.22/1.04 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 1.22/1.04 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 1.22/1.04 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 1.22/1.04 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 1.22/1.04 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 1.22/1.04 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 1.22/1.04 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 1.22/1.04 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) )),
% 1.22/1.04 inference('cnf.neg', [status(esa)], [clause35])).
% 1.22/1.04 thf(zip_derived_cl34, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.22/1.04 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.22/1.04 X14 : $i]:
% 1.22/1.04 ( (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 1.22/1.04 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 1.22/1.04 | ~ (ssNder1_0)
% 1.22/1.04 | ~ (ssNder1_1r1 @ X0)
% 1.22/1.04 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 1.22/1.04 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 1.22/1.04 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 1.22/1.04 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 1.22/1.04 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 1.22/1.04 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 1.22/1.04 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.22/1.04 X7)
% 1.22/1.04 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.22/1.04 X6 @ X7 @ X8)
% 1.22/1.04 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.22/1.04 X6 @ X7 @ X8 @ X9)
% 1.22/1.04 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.22/1.04 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 1.22/1.04 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.22/1.04 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 1.22/1.04 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.22/1.04 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 1.22/1.04 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 1.22/1.04 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13))),
% 1.22/1.04 inference('cnf', [status(esa)], [zf_stmt_22])).
% 1.22/1.04 thf(zip_derived_cl0, plain, ( (ssNder1_0)),
% 1.22/1.04 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.22/1.04 thf(zip_derived_cl76, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 1.22/1.04 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 1.22/1.04 thf(zip_derived_cl77, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl2, zip_derived_cl0, zip_derived_cl76])).
% 1.22/1.04 thf(zip_derived_cl78, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl3, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77])).
% 1.22/1.04 thf(zip_derived_cl80, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.22/1.04 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl4, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78])).
% 1.22/1.04 thf(zip_derived_cl84, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.22/1.04 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl7, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80])).
% 1.22/1.04 thf(zip_derived_cl88, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.22/1.04 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl10, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84])).
% 1.22/1.04 thf(zip_derived_cl91, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 1.22/1.04 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl13, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84, zip_derived_cl88])).
% 1.22/1.04 thf(zip_derived_cl93, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 1.22/1.04 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl16, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84, zip_derived_cl88, zip_derived_cl91])).
% 1.22/1.04 thf(zip_derived_cl94, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.22/1.04 X7 : $i, X8 : $i]:
% 1.22/1.04 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.22/1.04 X7 @ X8)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl17, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84, zip_derived_cl88, zip_derived_cl91,
% 1.22/1.04 zip_derived_cl93])).
% 1.22/1.04 thf(zip_derived_cl95, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.22/1.04 X7 : $i, X8 : $i, X9 : $i]:
% 1.22/1.04 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.22/1.04 X7 @ X8 @ X9)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl18, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84, zip_derived_cl88, zip_derived_cl91,
% 1.22/1.04 zip_derived_cl93, zip_derived_cl94])).
% 1.22/1.04 thf(zip_derived_cl97, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.22/1.04 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 1.22/1.04 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.22/1.04 X6 @ X7 @ X8 @ X9 @ X10)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl20, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84, zip_derived_cl88, zip_derived_cl91,
% 1.22/1.04 zip_derived_cl93, zip_derived_cl94, zip_derived_cl95])).
% 1.22/1.04 thf(zip_derived_cl100, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.22/1.04 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 1.22/1.04 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.22/1.04 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl21, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84, zip_derived_cl88, zip_derived_cl91,
% 1.22/1.04 zip_derived_cl93, zip_derived_cl94, zip_derived_cl95,
% 1.22/1.04 zip_derived_cl97])).
% 1.22/1.04 thf(zip_derived_cl103, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.22/1.04 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 1.22/1.04 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.22/1.04 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl24, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84, zip_derived_cl88, zip_derived_cl91,
% 1.22/1.04 zip_derived_cl93, zip_derived_cl94, zip_derived_cl95,
% 1.22/1.04 zip_derived_cl97, zip_derived_cl100])).
% 1.22/1.04 thf(zip_derived_cl108, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.22/1.04 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 1.22/1.04 (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.22/1.04 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl27, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84, zip_derived_cl88, zip_derived_cl91,
% 1.22/1.04 zip_derived_cl93, zip_derived_cl94, zip_derived_cl95,
% 1.22/1.04 zip_derived_cl97, zip_derived_cl100, zip_derived_cl103])).
% 1.22/1.04 thf(zip_derived_cl114, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.22/1.04 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.22/1.04 X14 : $i]:
% 1.22/1.04 (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.22/1.04 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl34, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84, zip_derived_cl88, zip_derived_cl91,
% 1.22/1.04 zip_derived_cl93, zip_derived_cl94, zip_derived_cl95,
% 1.22/1.04 zip_derived_cl97, zip_derived_cl100, zip_derived_cl103,
% 1.22/1.04 zip_derived_cl108])).
% 1.22/1.04 thf(clause38, conjecture,
% 1.22/1.04 (~( ( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 1.22/1.04 X10 ) |
% 1.22/1.04 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.22/1.04 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 1.22/1.04 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.22/1.04 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.22/1.04 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.22/1.04 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 1.22/1.04 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 1.22/1.04 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 1.22/1.04 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 1.22/1.04 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 1.22/1.04 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 1.22/1.04 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 1.22/1.04 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 1.22/1.04 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 1.22/1.04 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) ))).
% 1.22/1.04 thf(zf_stmt_23, negated_conjecture,
% 1.22/1.04 (( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 ) |
% 1.22/1.04 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.22/1.04 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.22/1.04 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.22/1.04 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.22/1.04 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 1.22/1.04 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 1.22/1.04 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 1.22/1.04 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 1.22/1.04 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 1.22/1.04 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 1.22/1.04 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 1.22/1.04 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 1.22/1.04 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 1.22/1.04 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) )),
% 1.22/1.04 inference('cnf.neg', [status(esa)], [clause38])).
% 1.22/1.04 thf(zip_derived_cl37, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.22/1.04 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.22/1.04 X14 : $i, X15 : $i]:
% 1.22/1.04 ( (ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 1.22/1.04 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15)
% 1.22/1.04 | ~ (ssNder1_0)
% 1.22/1.04 | ~ (ssNder1_1r1 @ X0)
% 1.22/1.04 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 1.22/1.04 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 1.22/1.04 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 1.22/1.04 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 1.22/1.04 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 1.22/1.04 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 1.22/1.04 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.22/1.04 X7)
% 1.22/1.04 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.22/1.04 X6 @ X7 @ X8)
% 1.22/1.04 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.22/1.04 X6 @ X7 @ X8 @ X9)
% 1.22/1.04 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.22/1.04 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 1.22/1.04 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.22/1.04 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 1.22/1.04 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.22/1.04 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 1.22/1.04 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 1.22/1.04 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 1.22/1.04 | ~ (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 1.22/1.04 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14))),
% 1.22/1.04 inference('cnf', [status(esa)], [zf_stmt_23])).
% 1.22/1.04 thf(zip_derived_cl0, plain, ( (ssNder1_0)),
% 1.22/1.04 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.22/1.04 thf(zip_derived_cl76, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 1.22/1.04 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 1.22/1.04 thf(zip_derived_cl77, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl2, zip_derived_cl0, zip_derived_cl76])).
% 1.22/1.04 thf(zip_derived_cl78, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl3, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77])).
% 1.22/1.04 thf(zip_derived_cl80, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.22/1.04 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl4, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78])).
% 1.22/1.04 thf(zip_derived_cl84, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.22/1.04 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl7, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80])).
% 1.22/1.04 thf(zip_derived_cl88, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.22/1.04 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl10, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84])).
% 1.22/1.04 thf(zip_derived_cl91, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 1.22/1.04 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl13, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84, zip_derived_cl88])).
% 1.22/1.04 thf(zip_derived_cl93, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 1.22/1.04 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl16, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84, zip_derived_cl88, zip_derived_cl91])).
% 1.22/1.04 thf(zip_derived_cl94, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.22/1.04 X7 : $i, X8 : $i]:
% 1.22/1.04 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.22/1.04 X7 @ X8)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl17, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84, zip_derived_cl88, zip_derived_cl91,
% 1.22/1.04 zip_derived_cl93])).
% 1.22/1.04 thf(zip_derived_cl95, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.22/1.04 X7 : $i, X8 : $i, X9 : $i]:
% 1.22/1.04 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.22/1.04 X7 @ X8 @ X9)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl18, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84, zip_derived_cl88, zip_derived_cl91,
% 1.22/1.04 zip_derived_cl93, zip_derived_cl94])).
% 1.22/1.04 thf(zip_derived_cl97, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.22/1.04 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 1.22/1.04 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.22/1.04 X6 @ X7 @ X8 @ X9 @ X10)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl20, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84, zip_derived_cl88, zip_derived_cl91,
% 1.22/1.04 zip_derived_cl93, zip_derived_cl94, zip_derived_cl95])).
% 1.22/1.04 thf(zip_derived_cl100, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.22/1.04 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 1.22/1.04 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.22/1.04 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl21, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84, zip_derived_cl88, zip_derived_cl91,
% 1.22/1.04 zip_derived_cl93, zip_derived_cl94, zip_derived_cl95,
% 1.22/1.04 zip_derived_cl97])).
% 1.22/1.04 thf(zip_derived_cl103, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.22/1.04 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 1.22/1.04 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.22/1.04 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl24, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84, zip_derived_cl88, zip_derived_cl91,
% 1.22/1.04 zip_derived_cl93, zip_derived_cl94, zip_derived_cl95,
% 1.22/1.04 zip_derived_cl97, zip_derived_cl100])).
% 1.22/1.04 thf(zip_derived_cl108, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.22/1.04 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 1.22/1.04 (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.22/1.04 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl27, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84, zip_derived_cl88, zip_derived_cl91,
% 1.22/1.04 zip_derived_cl93, zip_derived_cl94, zip_derived_cl95,
% 1.22/1.04 zip_derived_cl97, zip_derived_cl100, zip_derived_cl103])).
% 1.22/1.04 thf(zip_derived_cl114, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.22/1.04 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.22/1.04 X14 : $i]:
% 1.22/1.04 (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.22/1.04 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl34, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84, zip_derived_cl88, zip_derived_cl91,
% 1.22/1.04 zip_derived_cl93, zip_derived_cl94, zip_derived_cl95,
% 1.22/1.04 zip_derived_cl97, zip_derived_cl100, zip_derived_cl103,
% 1.22/1.04 zip_derived_cl108])).
% 1.22/1.04 thf(zip_derived_cl118, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.22/1.04 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.22/1.04 X14 : $i, X15 : $i]:
% 1.22/1.04 (ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 1.22/1.04 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl37, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84, zip_derived_cl88, zip_derived_cl91,
% 1.22/1.04 zip_derived_cl93, zip_derived_cl94, zip_derived_cl95,
% 1.22/1.04 zip_derived_cl97, zip_derived_cl100, zip_derived_cl103,
% 1.22/1.04 zip_derived_cl108, zip_derived_cl114])).
% 1.22/1.04 thf(clause44, conjecture,
% 1.22/1.04 (~( ( ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 1.22/1.04 X10 @ X11 ) |
% 1.22/1.04 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.22/1.04 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 1.22/1.04 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.22/1.04 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.22/1.04 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.22/1.04 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 1.22/1.04 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 1.22/1.04 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 1.22/1.04 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 1.22/1.04 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 1.22/1.04 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 1.22/1.04 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 1.22/1.04 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 1.22/1.04 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 1.22/1.04 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 1.22/1.04 ( ~( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 1.22/1.04 X9 @ X10 ) ) ))).
% 1.22/1.04 thf(zf_stmt_24, negated_conjecture,
% 1.22/1.04 (( ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 1.22/1.04 X10 @ X11 ) |
% 1.22/1.04 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.22/1.04 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.22/1.04 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.22/1.04 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.22/1.04 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 1.22/1.04 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 1.22/1.04 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 1.22/1.04 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 1.22/1.04 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 1.22/1.04 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 1.22/1.04 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 1.22/1.04 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 1.22/1.04 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 1.22/1.04 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 1.22/1.04 ( ~( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 1.22/1.04 X10 ) )),
% 1.22/1.04 inference('cnf.neg', [status(esa)], [clause44])).
% 1.22/1.04 thf(zip_derived_cl43, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.22/1.04 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.22/1.04 X14 : $i, X15 : $i, X16 : $i]:
% 1.22/1.04 ( (ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 1.22/1.04 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @
% 1.22/1.04 X16)
% 1.22/1.04 | ~ (ssNder1_0)
% 1.22/1.04 | ~ (ssNder1_1r1 @ X0)
% 1.22/1.04 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 1.22/1.04 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 1.22/1.04 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 1.22/1.04 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 1.22/1.04 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 1.22/1.04 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 1.22/1.04 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.22/1.04 X7)
% 1.22/1.04 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.22/1.04 X6 @ X7 @ X8)
% 1.22/1.04 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.22/1.04 X6 @ X7 @ X8 @ X9)
% 1.22/1.04 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.22/1.04 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 1.22/1.04 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.22/1.04 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 1.22/1.04 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.22/1.04 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 1.22/1.04 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 1.22/1.04 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 1.22/1.04 | ~ (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 1.22/1.04 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 1.22/1.04 | ~ (ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 1.22/1.04 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 1.22/1.04 X14 @ X15))),
% 1.22/1.04 inference('cnf', [status(esa)], [zf_stmt_24])).
% 1.22/1.04 thf(zip_derived_cl0, plain, ( (ssNder1_0)),
% 1.22/1.04 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.22/1.04 thf(zip_derived_cl76, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 1.22/1.04 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 1.22/1.04 thf(zip_derived_cl77, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl2, zip_derived_cl0, zip_derived_cl76])).
% 1.22/1.04 thf(zip_derived_cl78, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl3, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77])).
% 1.22/1.04 thf(zip_derived_cl80, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.22/1.04 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl4, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78])).
% 1.22/1.04 thf(zip_derived_cl84, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.22/1.04 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl7, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80])).
% 1.22/1.04 thf(zip_derived_cl88, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.22/1.04 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl10, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84])).
% 1.22/1.04 thf(zip_derived_cl91, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 1.22/1.04 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl13, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84, zip_derived_cl88])).
% 1.22/1.04 thf(zip_derived_cl93, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 1.22/1.04 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl16, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84, zip_derived_cl88, zip_derived_cl91])).
% 1.22/1.04 thf(zip_derived_cl94, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.22/1.04 X7 : $i, X8 : $i]:
% 1.22/1.04 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.22/1.04 X7 @ X8)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl17, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84, zip_derived_cl88, zip_derived_cl91,
% 1.22/1.04 zip_derived_cl93])).
% 1.22/1.04 thf(zip_derived_cl95, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.22/1.04 X7 : $i, X8 : $i, X9 : $i]:
% 1.22/1.04 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.22/1.04 X7 @ X8 @ X9)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl18, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84, zip_derived_cl88, zip_derived_cl91,
% 1.22/1.04 zip_derived_cl93, zip_derived_cl94])).
% 1.22/1.04 thf(zip_derived_cl97, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.22/1.04 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 1.22/1.04 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.22/1.04 X6 @ X7 @ X8 @ X9 @ X10)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl20, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84, zip_derived_cl88, zip_derived_cl91,
% 1.22/1.04 zip_derived_cl93, zip_derived_cl94, zip_derived_cl95])).
% 1.22/1.04 thf(zip_derived_cl100, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.22/1.04 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 1.22/1.04 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.22/1.04 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl21, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84, zip_derived_cl88, zip_derived_cl91,
% 1.22/1.04 zip_derived_cl93, zip_derived_cl94, zip_derived_cl95,
% 1.22/1.04 zip_derived_cl97])).
% 1.22/1.04 thf(zip_derived_cl103, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.22/1.04 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 1.22/1.04 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.22/1.04 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl24, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84, zip_derived_cl88, zip_derived_cl91,
% 1.22/1.04 zip_derived_cl93, zip_derived_cl94, zip_derived_cl95,
% 1.22/1.04 zip_derived_cl97, zip_derived_cl100])).
% 1.22/1.04 thf(zip_derived_cl108, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.22/1.04 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 1.22/1.04 (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.22/1.04 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl27, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84, zip_derived_cl88, zip_derived_cl91,
% 1.22/1.04 zip_derived_cl93, zip_derived_cl94, zip_derived_cl95,
% 1.22/1.04 zip_derived_cl97, zip_derived_cl100, zip_derived_cl103])).
% 1.22/1.04 thf(zip_derived_cl114, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.22/1.04 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.22/1.04 X14 : $i]:
% 1.22/1.04 (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.22/1.04 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl34, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84, zip_derived_cl88, zip_derived_cl91,
% 1.22/1.04 zip_derived_cl93, zip_derived_cl94, zip_derived_cl95,
% 1.22/1.04 zip_derived_cl97, zip_derived_cl100, zip_derived_cl103,
% 1.22/1.04 zip_derived_cl108])).
% 1.22/1.04 thf(zip_derived_cl118, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.22/1.04 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.22/1.04 X14 : $i, X15 : $i]:
% 1.22/1.04 (ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 1.22/1.04 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl37, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84, zip_derived_cl88, zip_derived_cl91,
% 1.22/1.04 zip_derived_cl93, zip_derived_cl94, zip_derived_cl95,
% 1.22/1.04 zip_derived_cl97, zip_derived_cl100, zip_derived_cl103,
% 1.22/1.04 zip_derived_cl108, zip_derived_cl114])).
% 1.22/1.04 thf(zip_derived_cl121, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.22/1.04 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.22/1.04 X14 : $i, X15 : $i, X16 : $i]:
% 1.22/1.04 (ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 1.22/1.04 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @
% 1.22/1.04 X16)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl43, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84, zip_derived_cl88, zip_derived_cl91,
% 1.22/1.04 zip_derived_cl93, zip_derived_cl94, zip_derived_cl95,
% 1.22/1.04 zip_derived_cl97, zip_derived_cl100, zip_derived_cl103,
% 1.22/1.04 zip_derived_cl108, zip_derived_cl114, zip_derived_cl118])).
% 1.22/1.04 thf(clause47, conjecture,
% 1.22/1.04 (~( ( ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 1.22/1.04 X10 @ X11 @ X12 ) |
% 1.22/1.04 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.22/1.04 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 1.22/1.04 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.22/1.04 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.22/1.04 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.22/1.04 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 1.22/1.04 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 1.22/1.04 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 1.22/1.04 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 1.22/1.04 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 1.22/1.04 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 1.22/1.04 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 1.22/1.04 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 1.22/1.04 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 1.22/1.04 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 1.22/1.04 ( ~( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 1.22/1.04 X9 @ X10 ) ) |
% 1.22/1.04 ( ~( ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 1.22/1.04 X9 @ X10 @ X11 ) ) ))).
% 1.22/1.04 thf(zf_stmt_25, negated_conjecture,
% 1.22/1.04 (( ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 1.22/1.04 X10 @ X11 @ X12 ) |
% 1.22/1.04 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.22/1.04 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.22/1.04 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.22/1.04 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.22/1.04 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 1.22/1.04 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 1.22/1.04 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 1.22/1.04 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 1.22/1.04 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 1.22/1.04 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 1.22/1.04 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 1.22/1.04 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 1.22/1.04 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 1.22/1.04 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 1.22/1.04 ( ~( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 1.22/1.04 X10 ) ) |
% 1.22/1.04 ( ~( ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 1.22/1.04 X10 @ X11 ) )),
% 1.22/1.04 inference('cnf.neg', [status(esa)], [clause47])).
% 1.22/1.04 thf(zip_derived_cl46, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.22/1.04 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.22/1.04 X14 : $i, X15 : $i, X16 : $i, X17 : $i]:
% 1.22/1.04 ( (ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 1.22/1.04 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @
% 1.22/1.04 X15 @ X16 @ X17)
% 1.22/1.04 | ~ (ssNder1_0)
% 1.22/1.04 | ~ (ssNder1_1r1 @ X0)
% 1.22/1.04 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 1.22/1.04 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 1.22/1.04 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 1.22/1.04 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 1.22/1.04 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 1.22/1.04 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 1.22/1.04 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.22/1.04 X7)
% 1.22/1.04 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.22/1.04 X6 @ X7 @ X8)
% 1.22/1.04 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.22/1.04 X6 @ X7 @ X8 @ X9)
% 1.22/1.04 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.22/1.04 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 1.22/1.04 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.22/1.04 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 1.22/1.04 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.22/1.04 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 1.22/1.04 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 1.22/1.04 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 1.22/1.04 | ~ (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 1.22/1.04 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 1.22/1.04 | ~ (ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 1.22/1.04 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 1.22/1.04 X14 @ X15)
% 1.22/1.04 | ~ (ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 1.22/1.04 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 1.22/1.04 X14 @ X15 @ X16))),
% 1.22/1.04 inference('cnf', [status(esa)], [zf_stmt_25])).
% 1.22/1.04 thf(zip_derived_cl0, plain, ( (ssNder1_0)),
% 1.22/1.04 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.22/1.04 thf(zip_derived_cl76, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 1.22/1.04 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 1.22/1.04 thf(zip_derived_cl77, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl2, zip_derived_cl0, zip_derived_cl76])).
% 1.22/1.04 thf(zip_derived_cl78, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl3, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77])).
% 1.22/1.04 thf(zip_derived_cl80, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.22/1.04 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl4, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78])).
% 1.22/1.04 thf(zip_derived_cl84, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.22/1.04 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl7, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80])).
% 1.22/1.04 thf(zip_derived_cl88, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.22/1.04 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl10, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84])).
% 1.22/1.04 thf(zip_derived_cl91, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 1.22/1.04 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl13, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84, zip_derived_cl88])).
% 1.22/1.04 thf(zip_derived_cl93, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 1.22/1.04 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl16, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84, zip_derived_cl88, zip_derived_cl91])).
% 1.22/1.04 thf(zip_derived_cl94, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.22/1.04 X7 : $i, X8 : $i]:
% 1.22/1.04 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.22/1.04 X7 @ X8)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl17, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84, zip_derived_cl88, zip_derived_cl91,
% 1.22/1.04 zip_derived_cl93])).
% 1.22/1.04 thf(zip_derived_cl95, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.22/1.04 X7 : $i, X8 : $i, X9 : $i]:
% 1.22/1.04 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.22/1.04 X7 @ X8 @ X9)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl18, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84, zip_derived_cl88, zip_derived_cl91,
% 1.22/1.04 zip_derived_cl93, zip_derived_cl94])).
% 1.22/1.04 thf(zip_derived_cl97, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.22/1.04 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 1.22/1.04 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.22/1.04 X6 @ X7 @ X8 @ X9 @ X10)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl20, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84, zip_derived_cl88, zip_derived_cl91,
% 1.22/1.04 zip_derived_cl93, zip_derived_cl94, zip_derived_cl95])).
% 1.22/1.04 thf(zip_derived_cl100, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.22/1.04 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 1.22/1.04 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.22/1.04 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl21, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84, zip_derived_cl88, zip_derived_cl91,
% 1.22/1.04 zip_derived_cl93, zip_derived_cl94, zip_derived_cl95,
% 1.22/1.04 zip_derived_cl97])).
% 1.22/1.04 thf(zip_derived_cl103, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.22/1.04 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 1.22/1.04 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.22/1.04 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl24, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84, zip_derived_cl88, zip_derived_cl91,
% 1.22/1.04 zip_derived_cl93, zip_derived_cl94, zip_derived_cl95,
% 1.22/1.04 zip_derived_cl97, zip_derived_cl100])).
% 1.22/1.04 thf(zip_derived_cl108, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.22/1.04 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 1.22/1.04 (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.22/1.04 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl27, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84, zip_derived_cl88, zip_derived_cl91,
% 1.22/1.04 zip_derived_cl93, zip_derived_cl94, zip_derived_cl95,
% 1.22/1.04 zip_derived_cl97, zip_derived_cl100, zip_derived_cl103])).
% 1.22/1.04 thf(zip_derived_cl114, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.22/1.04 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.22/1.04 X14 : $i]:
% 1.22/1.04 (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.22/1.04 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl34, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84, zip_derived_cl88, zip_derived_cl91,
% 1.22/1.04 zip_derived_cl93, zip_derived_cl94, zip_derived_cl95,
% 1.22/1.04 zip_derived_cl97, zip_derived_cl100, zip_derived_cl103,
% 1.22/1.04 zip_derived_cl108])).
% 1.22/1.04 thf(zip_derived_cl118, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.22/1.04 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.22/1.04 X14 : $i, X15 : $i]:
% 1.22/1.04 (ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 1.22/1.04 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl37, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84, zip_derived_cl88, zip_derived_cl91,
% 1.22/1.04 zip_derived_cl93, zip_derived_cl94, zip_derived_cl95,
% 1.22/1.04 zip_derived_cl97, zip_derived_cl100, zip_derived_cl103,
% 1.22/1.04 zip_derived_cl108, zip_derived_cl114])).
% 1.22/1.04 thf(zip_derived_cl121, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.22/1.04 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.22/1.04 X14 : $i, X15 : $i, X16 : $i]:
% 1.22/1.04 (ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 1.22/1.04 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @
% 1.22/1.04 X16)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl43, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84, zip_derived_cl88, zip_derived_cl91,
% 1.22/1.04 zip_derived_cl93, zip_derived_cl94, zip_derived_cl95,
% 1.22/1.04 zip_derived_cl97, zip_derived_cl100, zip_derived_cl103,
% 1.22/1.04 zip_derived_cl108, zip_derived_cl114, zip_derived_cl118])).
% 1.22/1.04 thf(zip_derived_cl125, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.22/1.04 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.22/1.04 X14 : $i, X15 : $i, X16 : $i, X17 : $i]:
% 1.22/1.04 (ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 1.22/1.04 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @
% 1.22/1.04 X15 @ X16 @ X17)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl46, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84, zip_derived_cl88, zip_derived_cl91,
% 1.22/1.04 zip_derived_cl93, zip_derived_cl94, zip_derived_cl95,
% 1.22/1.04 zip_derived_cl97, zip_derived_cl100, zip_derived_cl103,
% 1.22/1.04 zip_derived_cl108, zip_derived_cl114, zip_derived_cl118,
% 1.22/1.04 zip_derived_cl121])).
% 1.22/1.04 thf(zip_derived_cl141, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.22/1.04 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.22/1.04 X14 : $i, X15 : $i, X16 : $i, X17 : $i, X18 : $i]:
% 1.22/1.04 ( (ssPv14_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 1.22/1.04 | (ssPv13_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)
% 1.22/1.04 | (ssPv2_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 1.22/1.04 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @
% 1.22/1.04 X15 @ X16 @ X17 @ X18)
% 1.22/1.04 | ~ (ssPv20_1r1 @ X0))),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl57, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84, zip_derived_cl88, zip_derived_cl91,
% 1.22/1.04 zip_derived_cl93, zip_derived_cl94, zip_derived_cl95,
% 1.22/1.04 zip_derived_cl97, zip_derived_cl100, zip_derived_cl103,
% 1.22/1.04 zip_derived_cl108, zip_derived_cl114, zip_derived_cl118,
% 1.22/1.04 zip_derived_cl121, zip_derived_cl125])).
% 1.22/1.04 thf(clause63, conjecture,
% 1.22/1.04 (~( ( ssPv18_3r1r1r1 @ U @ V @ W ) |
% 1.22/1.04 ( ssPv13_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) |
% 1.22/1.04 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.22/1.04 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 1.22/1.04 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.22/1.04 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.22/1.04 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.22/1.04 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 1.22/1.04 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 1.22/1.04 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 1.22/1.04 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 1.22/1.04 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 1.22/1.04 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 1.22/1.04 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 1.22/1.04 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 1.22/1.04 ( ~( ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 1.22/1.04 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 1.22/1.04 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 1.22/1.04 ( ~( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 1.22/1.04 X9 @ X10 ) ) |
% 1.22/1.04 ( ~( ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 1.22/1.04 X9 @ X10 @ X11 ) ) |
% 1.22/1.04 ( ~( ssPv2_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 1.22/1.04 X9 @ X10 @ X11 @ X12 @ X13 ) ) |
% 1.22/1.04 ( ~( ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 1.22/1.04 X9 @ X10 @ X11 @ X12 ) ) ))).
% 1.22/1.04 thf(zf_stmt_26, negated_conjecture,
% 1.22/1.04 (( ssPv18_3r1r1r1 @ U @ V @ W ) |
% 1.22/1.04 ( ssPv13_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) |
% 1.22/1.04 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.22/1.04 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.22/1.04 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.22/1.04 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.22/1.04 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 1.22/1.04 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 1.22/1.04 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 1.22/1.04 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 1.22/1.04 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 1.22/1.04 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 1.22/1.04 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 1.22/1.04 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 1.22/1.04 ( ~( ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 1.22/1.04 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 1.22/1.04 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 1.22/1.04 ( ~( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 1.22/1.04 X10 ) ) |
% 1.22/1.04 ( ~( ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 1.22/1.04 X10 @ X11 ) ) |
% 1.22/1.04 ( ~( ssPv2_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 1.22/1.04 X10 @ X11 @ X12 @ X13 ) ) |
% 1.22/1.04 ( ~( ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 1.22/1.04 X10 @ X11 @ X12 ) )),
% 1.22/1.04 inference('cnf.neg', [status(esa)], [clause63])).
% 1.22/1.04 thf(zip_derived_cl62, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.22/1.04 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.22/1.04 X14 : $i, X15 : $i, X16 : $i, X17 : $i, X18 : $i]:
% 1.22/1.04 ( (ssPv18_3r1r1r1 @ X0 @ X1 @ X2)
% 1.22/1.04 | (ssPv13_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)
% 1.22/1.04 | ~ (ssNder1_0)
% 1.22/1.04 | ~ (ssNder1_1r1 @ X0)
% 1.22/1.04 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 1.22/1.04 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 1.22/1.04 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 1.22/1.04 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 1.22/1.04 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 1.22/1.04 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 1.22/1.04 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.22/1.04 X7)
% 1.22/1.04 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.22/1.04 X6 @ X7 @ X8)
% 1.22/1.04 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.22/1.04 X6 @ X7 @ X8 @ X9)
% 1.22/1.04 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.22/1.04 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 1.22/1.04 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.22/1.04 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 1.22/1.04 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.22/1.04 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 1.22/1.04 | ~ (ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.22/1.04 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 1.22/1.04 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 1.22/1.04 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 1.22/1.04 | ~ (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 1.22/1.04 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 1.22/1.04 | ~ (ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 1.22/1.04 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 1.22/1.04 X14 @ X15)
% 1.22/1.04 | ~ (ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 1.22/1.04 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 1.22/1.04 X14 @ X15 @ X16)
% 1.22/1.04 | ~ (ssPv2_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 1.22/1.04 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 1.22/1.04 X14 @ X15 @ X16 @ X17 @ X18)
% 1.22/1.04 | ~ (ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 1.22/1.04 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 1.22/1.04 X14 @ X15 @ X16 @ X17))),
% 1.22/1.04 inference('cnf', [status(esa)], [zf_stmt_26])).
% 1.22/1.04 thf(zip_derived_cl0, plain, ( (ssNder1_0)),
% 1.22/1.04 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.22/1.04 thf(zip_derived_cl76, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 1.22/1.04 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 1.22/1.04 thf(zip_derived_cl77, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl2, zip_derived_cl0, zip_derived_cl76])).
% 1.22/1.04 thf(zip_derived_cl78, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl3, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77])).
% 1.22/1.04 thf(zip_derived_cl80, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.22/1.04 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl4, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78])).
% 1.22/1.04 thf(zip_derived_cl84, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.22/1.04 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl7, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80])).
% 1.22/1.04 thf(zip_derived_cl88, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.22/1.04 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl10, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84])).
% 1.22/1.04 thf(zip_derived_cl91, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 1.22/1.04 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl13, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84, zip_derived_cl88])).
% 1.22/1.04 thf(zip_derived_cl93, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 1.22/1.04 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl16, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84, zip_derived_cl88, zip_derived_cl91])).
% 1.22/1.04 thf(zip_derived_cl94, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.22/1.04 X7 : $i, X8 : $i]:
% 1.22/1.04 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.22/1.04 X7 @ X8)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl17, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84, zip_derived_cl88, zip_derived_cl91,
% 1.22/1.04 zip_derived_cl93])).
% 1.22/1.04 thf(zip_derived_cl95, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.22/1.04 X7 : $i, X8 : $i, X9 : $i]:
% 1.22/1.04 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.22/1.04 X7 @ X8 @ X9)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl18, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84, zip_derived_cl88, zip_derived_cl91,
% 1.22/1.04 zip_derived_cl93, zip_derived_cl94])).
% 1.22/1.04 thf(zip_derived_cl97, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.22/1.04 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 1.22/1.04 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.22/1.04 X6 @ X7 @ X8 @ X9 @ X10)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl20, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84, zip_derived_cl88, zip_derived_cl91,
% 1.22/1.04 zip_derived_cl93, zip_derived_cl94, zip_derived_cl95])).
% 1.22/1.04 thf(zip_derived_cl100, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.22/1.04 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 1.22/1.04 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.22/1.04 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl21, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84, zip_derived_cl88, zip_derived_cl91,
% 1.22/1.04 zip_derived_cl93, zip_derived_cl94, zip_derived_cl95,
% 1.22/1.04 zip_derived_cl97])).
% 1.22/1.04 thf(zip_derived_cl103, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.22/1.04 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 1.22/1.04 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.22/1.04 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl24, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84, zip_derived_cl88, zip_derived_cl91,
% 1.22/1.04 zip_derived_cl93, zip_derived_cl94, zip_derived_cl95,
% 1.22/1.04 zip_derived_cl97, zip_derived_cl100])).
% 1.22/1.04 thf(zip_derived_cl108, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.22/1.04 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 1.22/1.04 (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.22/1.04 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl27, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84, zip_derived_cl88, zip_derived_cl91,
% 1.22/1.04 zip_derived_cl93, zip_derived_cl94, zip_derived_cl95,
% 1.22/1.04 zip_derived_cl97, zip_derived_cl100, zip_derived_cl103])).
% 1.22/1.04 thf(zip_derived_cl114, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.22/1.04 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.22/1.04 X14 : $i]:
% 1.22/1.04 (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.22/1.04 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl34, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84, zip_derived_cl88, zip_derived_cl91,
% 1.22/1.04 zip_derived_cl93, zip_derived_cl94, zip_derived_cl95,
% 1.22/1.04 zip_derived_cl97, zip_derived_cl100, zip_derived_cl103,
% 1.22/1.04 zip_derived_cl108])).
% 1.22/1.04 thf(zip_derived_cl118, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.22/1.04 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.22/1.04 X14 : $i, X15 : $i]:
% 1.22/1.04 (ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 1.22/1.04 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl37, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84, zip_derived_cl88, zip_derived_cl91,
% 1.22/1.04 zip_derived_cl93, zip_derived_cl94, zip_derived_cl95,
% 1.22/1.04 zip_derived_cl97, zip_derived_cl100, zip_derived_cl103,
% 1.22/1.04 zip_derived_cl108, zip_derived_cl114])).
% 1.22/1.04 thf(zip_derived_cl121, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.22/1.04 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.22/1.04 X14 : $i, X15 : $i, X16 : $i]:
% 1.22/1.04 (ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 1.22/1.04 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @
% 1.22/1.04 X16)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl43, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84, zip_derived_cl88, zip_derived_cl91,
% 1.22/1.04 zip_derived_cl93, zip_derived_cl94, zip_derived_cl95,
% 1.22/1.04 zip_derived_cl97, zip_derived_cl100, zip_derived_cl103,
% 1.22/1.04 zip_derived_cl108, zip_derived_cl114, zip_derived_cl118])).
% 1.22/1.04 thf(zip_derived_cl125, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.22/1.04 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.22/1.04 X14 : $i, X15 : $i, X16 : $i, X17 : $i]:
% 1.22/1.04 (ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 1.22/1.04 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @
% 1.22/1.04 X15 @ X16 @ X17)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl46, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84, zip_derived_cl88, zip_derived_cl91,
% 1.22/1.04 zip_derived_cl93, zip_derived_cl94, zip_derived_cl95,
% 1.22/1.04 zip_derived_cl97, zip_derived_cl100, zip_derived_cl103,
% 1.22/1.04 zip_derived_cl108, zip_derived_cl114, zip_derived_cl118,
% 1.22/1.04 zip_derived_cl121])).
% 1.22/1.04 thf(zip_derived_cl137, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.22/1.04 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.22/1.04 X14 : $i, X15 : $i, X16 : $i, X17 : $i, X18 : $i]:
% 1.22/1.04 ( (ssPv18_3r1r1r1 @ X0 @ X1 @ X2)
% 1.22/1.04 | (ssPv13_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)
% 1.22/1.04 | ~ (ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.22/1.04 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 1.22/1.04 | ~ (ssPv2_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 1.22/1.04 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 1.22/1.04 X14 @ X15 @ X16 @ X17 @ X18))),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl62, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84, zip_derived_cl88, zip_derived_cl91,
% 1.22/1.04 zip_derived_cl93, zip_derived_cl94, zip_derived_cl95,
% 1.22/1.04 zip_derived_cl97, zip_derived_cl100, zip_derived_cl103,
% 1.22/1.04 zip_derived_cl108, zip_derived_cl114, zip_derived_cl118,
% 1.22/1.04 zip_derived_cl121, zip_derived_cl125])).
% 1.22/1.04 thf(zip_derived_cl167, plain,
% 1.22/1.04 (![X6 : $i, X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i,
% 1.22/1.04 X13 : $i, X14 : $i, X15 : $i, X16 : $i, X17 : $i, X18 : $i]:
% 1.22/1.04 (~ (ssPv20_1r1 @ X18)
% 1.22/1.04 | (ssPv13_8r1r1r1r1r1r1r1r1 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @
% 1.22/1.04 X12 @ X11)
% 1.22/1.04 | (ssPv14_7r1r1r1r1r1r1r1 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12)
% 1.22/1.04 | (ssPv18_3r1r1r1 @ X18 @ X17 @ X16)
% 1.22/1.04 | (ssPv13_8r1r1r1r1r1r1r1r1 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @
% 1.22/1.04 X12 @ X11)
% 1.22/1.04 | ~ (ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X18 @ X17 @ X16 @ X15 @
% 1.22/1.04 X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6))),
% 1.22/1.04 inference('s_sup-', [status(thm)], [zip_derived_cl141, zip_derived_cl137])).
% 1.22/1.04 thf(zip_derived_cl168, plain,
% 1.22/1.04 (![X6 : $i, X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i,
% 1.22/1.04 X13 : $i, X14 : $i, X15 : $i, X16 : $i, X17 : $i, X18 : $i]:
% 1.22/1.04 (~ (ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X18 @ X17 @ X16 @ X15 @
% 1.22/1.04 X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6)
% 1.22/1.04 | (ssPv18_3r1r1r1 @ X18 @ X17 @ X16)
% 1.22/1.04 | (ssPv14_7r1r1r1r1r1r1r1 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12)
% 1.22/1.04 | (ssPv13_8r1r1r1r1r1r1r1r1 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @
% 1.22/1.04 X12 @ X11)
% 1.22/1.04 | ~ (ssPv20_1r1 @ X18))),
% 1.22/1.04 inference('simplify', [status(thm)], [zip_derived_cl167])).
% 1.22/1.04 thf(zip_derived_cl169, plain,
% 1.22/1.04 (![X4 : $i, X5 : $i, X6 : $i, X7 : $i, X8 : $i, X9 : $i, X10 : $i,
% 1.22/1.04 X11 : $i]:
% 1.22/1.04 ( (ssPv18_3r1r1r1 @ X11 @ X10 @ X9)
% 1.22/1.04 | (ssPv14_7r1r1r1r1r1r1r1 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5)
% 1.22/1.04 | (ssPv13_8r1r1r1r1r1r1r1r1 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @
% 1.22/1.04 X4)
% 1.22/1.04 | ~ (ssPv20_1r1 @ X11))),
% 1.22/1.04 inference('s_sup-', [status(thm)], [zip_derived_cl102, zip_derived_cl168])).
% 1.22/1.04 thf(clause13, conjecture,
% 1.22/1.04 (~( ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.22/1.04 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 1.22/1.04 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.22/1.04 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.22/1.04 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.22/1.04 ( ~( ssPv14_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ skc27 ) ) ))).
% 1.22/1.04 thf(zf_stmt_27, negated_conjecture,
% 1.22/1.04 (( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.22/1.04 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.22/1.04 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.22/1.04 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.22/1.04 ( ~( ssPv14_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ skc27 ) )),
% 1.22/1.04 inference('cnf.neg', [status(esa)], [clause13])).
% 1.22/1.04 thf(zip_derived_cl12, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.22/1.04 (~ (ssNder1_0)
% 1.22/1.04 | ~ (ssNder1_1r1 @ X0)
% 1.22/1.04 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 1.22/1.04 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 1.22/1.04 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 1.22/1.04 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 1.22/1.04 | ~ (ssPv14_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ skc27))),
% 1.22/1.04 inference('cnf', [status(esa)], [zf_stmt_27])).
% 1.22/1.04 thf(zip_derived_cl0, plain, ( (ssNder1_0)),
% 1.22/1.04 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.22/1.04 thf(zip_derived_cl76, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 1.22/1.04 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 1.22/1.04 thf(zip_derived_cl77, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl2, zip_derived_cl0, zip_derived_cl76])).
% 1.22/1.04 thf(zip_derived_cl78, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl3, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77])).
% 1.22/1.04 thf(zip_derived_cl80, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.22/1.04 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl4, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78])).
% 1.22/1.04 thf(zip_derived_cl83, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.22/1.04 (~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 1.22/1.04 | ~ (ssPv14_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ skc27))),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl12, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80])).
% 1.22/1.04 thf(zip_derived_cl84, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.22/1.04 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl7, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80])).
% 1.22/1.04 thf(zip_derived_cl85, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.22/1.04 ~ (ssPv14_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ skc27)),
% 1.22/1.04 inference('demod', [status(thm)], [zip_derived_cl83, zip_derived_cl84])).
% 1.22/1.04 thf(zip_derived_cl170, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 1.22/1.04 (~ (ssPv20_1r1 @ X5)
% 1.22/1.04 | (ssPv13_8r1r1r1r1r1r1r1r1 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ skc27 @
% 1.22/1.04 X6)
% 1.22/1.04 | (ssPv18_3r1r1r1 @ X5 @ X4 @ X3))),
% 1.22/1.04 inference('s_sup-', [status(thm)], [zip_derived_cl169, zip_derived_cl85])).
% 1.22/1.04 thf(clause16, conjecture,
% 1.22/1.04 (~( ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.22/1.04 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 1.22/1.04 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.22/1.04 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.22/1.04 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.22/1.04 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 1.22/1.04 ( ~( ssPv13_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ skc25 ) ) ))).
% 1.22/1.04 thf(zf_stmt_28, negated_conjecture,
% 1.22/1.04 (( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.22/1.04 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.22/1.04 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.22/1.04 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.22/1.04 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 1.22/1.04 ( ~( ssPv13_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ skc25 ) )),
% 1.22/1.04 inference('cnf.neg', [status(esa)], [clause16])).
% 1.22/1.04 thf(zip_derived_cl15, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 1.22/1.04 (~ (ssNder1_0)
% 1.22/1.04 | ~ (ssNder1_1r1 @ X0)
% 1.22/1.04 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 1.22/1.04 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 1.22/1.04 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 1.22/1.04 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 1.22/1.04 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 1.22/1.04 | ~ (ssPv13_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.22/1.04 skc25))),
% 1.22/1.04 inference('cnf', [status(esa)], [zf_stmt_28])).
% 1.22/1.04 thf(zip_derived_cl0, plain, ( (ssNder1_0)),
% 1.22/1.04 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.22/1.04 thf(zip_derived_cl76, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 1.22/1.04 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 1.22/1.04 thf(zip_derived_cl77, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl2, zip_derived_cl0, zip_derived_cl76])).
% 1.22/1.04 thf(zip_derived_cl78, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl3, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77])).
% 1.22/1.04 thf(zip_derived_cl80, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.22/1.04 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl4, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78])).
% 1.22/1.04 thf(zip_derived_cl84, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.22/1.04 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl7, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80])).
% 1.22/1.04 thf(zip_derived_cl87, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 1.22/1.04 (~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 1.22/1.04 | ~ (ssPv13_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.22/1.04 skc25))),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl15, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84])).
% 1.22/1.04 thf(zip_derived_cl88, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.22/1.04 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl10, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84])).
% 1.22/1.04 thf(zip_derived_cl89, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 1.22/1.04 ~ (ssPv13_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ skc25)),
% 1.22/1.04 inference('demod', [status(thm)], [zip_derived_cl87, zip_derived_cl88])).
% 1.22/1.04 thf(zip_derived_cl171, plain,
% 1.22/1.04 (![X3 : $i, X4 : $i, X5 : $i]:
% 1.22/1.04 ( (ssPv18_3r1r1r1 @ X5 @ X4 @ X3) | ~ (ssPv20_1r1 @ X5))),
% 1.22/1.04 inference('s_sup-', [status(thm)], [zip_derived_cl170, zip_derived_cl89])).
% 1.22/1.04 thf(zip_derived_cl102, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.22/1.04 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 1.22/1.04 (ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.22/1.04 X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ skc22)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl22, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84, zip_derived_cl88, zip_derived_cl91,
% 1.22/1.04 zip_derived_cl93, zip_derived_cl94, zip_derived_cl95,
% 1.22/1.04 zip_derived_cl97])).
% 1.22/1.04 thf(clause36, conjecture,
% 1.22/1.04 (~( ( ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 1.22/1.04 skc16 ) |
% 1.22/1.04 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.22/1.04 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 1.22/1.04 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.22/1.04 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.22/1.04 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.22/1.04 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 1.22/1.04 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 1.22/1.04 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 1.22/1.04 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 1.22/1.04 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 1.22/1.04 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 1.22/1.04 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 1.22/1.04 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 1.22/1.04 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) ))).
% 1.22/1.04 thf(zf_stmt_29, negated_conjecture,
% 1.22/1.04 (( ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 1.22/1.04 skc16 ) |
% 1.22/1.04 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.22/1.04 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.22/1.04 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.22/1.04 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.22/1.04 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 1.22/1.04 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 1.22/1.04 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 1.22/1.04 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 1.22/1.04 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 1.22/1.04 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 1.22/1.04 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 1.22/1.04 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 1.22/1.04 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) )),
% 1.22/1.04 inference('cnf.neg', [status(esa)], [clause36])).
% 1.22/1.04 thf(zip_derived_cl35, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.22/1.04 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.22/1.04 X14 : $i]:
% 1.22/1.04 ( (ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 1.22/1.04 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ skc16)
% 1.22/1.04 | ~ (ssNder1_0)
% 1.22/1.04 | ~ (ssNder1_1r1 @ X0)
% 1.22/1.04 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 1.22/1.04 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 1.22/1.04 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 1.22/1.04 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 1.22/1.04 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 1.22/1.04 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 1.22/1.04 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.22/1.04 X7)
% 1.22/1.04 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.22/1.04 X6 @ X7 @ X8)
% 1.22/1.04 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.22/1.04 X6 @ X7 @ X8 @ X9)
% 1.22/1.04 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.22/1.04 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 1.22/1.04 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.22/1.04 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 1.22/1.04 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.22/1.04 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 1.22/1.04 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 1.22/1.04 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13))),
% 1.22/1.04 inference('cnf', [status(esa)], [zf_stmt_29])).
% 1.22/1.04 thf(zip_derived_cl0, plain, ( (ssNder1_0)),
% 1.22/1.04 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.22/1.04 thf(zip_derived_cl76, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 1.22/1.04 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 1.22/1.04 thf(zip_derived_cl77, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl2, zip_derived_cl0, zip_derived_cl76])).
% 1.22/1.04 thf(zip_derived_cl78, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl3, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77])).
% 1.22/1.04 thf(zip_derived_cl80, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.22/1.04 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl4, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78])).
% 1.22/1.04 thf(zip_derived_cl84, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.22/1.04 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl7, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80])).
% 1.22/1.04 thf(zip_derived_cl88, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.22/1.04 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl10, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84])).
% 1.22/1.04 thf(zip_derived_cl91, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 1.22/1.04 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl13, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84, zip_derived_cl88])).
% 1.22/1.04 thf(zip_derived_cl93, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 1.22/1.04 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl16, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84, zip_derived_cl88, zip_derived_cl91])).
% 1.22/1.04 thf(zip_derived_cl94, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.22/1.04 X7 : $i, X8 : $i]:
% 1.22/1.04 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.22/1.04 X7 @ X8)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl17, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84, zip_derived_cl88, zip_derived_cl91,
% 1.22/1.04 zip_derived_cl93])).
% 1.22/1.04 thf(zip_derived_cl95, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.22/1.04 X7 : $i, X8 : $i, X9 : $i]:
% 1.22/1.04 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.22/1.04 X7 @ X8 @ X9)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl18, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84, zip_derived_cl88, zip_derived_cl91,
% 1.22/1.04 zip_derived_cl93, zip_derived_cl94])).
% 1.22/1.04 thf(zip_derived_cl97, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.22/1.04 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 1.22/1.04 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.22/1.04 X6 @ X7 @ X8 @ X9 @ X10)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl20, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84, zip_derived_cl88, zip_derived_cl91,
% 1.22/1.04 zip_derived_cl93, zip_derived_cl94, zip_derived_cl95])).
% 1.22/1.04 thf(zip_derived_cl100, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.22/1.04 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 1.22/1.04 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.22/1.04 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl21, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84, zip_derived_cl88, zip_derived_cl91,
% 1.22/1.04 zip_derived_cl93, zip_derived_cl94, zip_derived_cl95,
% 1.22/1.04 zip_derived_cl97])).
% 1.22/1.04 thf(zip_derived_cl103, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.22/1.04 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 1.22/1.04 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.22/1.04 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl24, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84, zip_derived_cl88, zip_derived_cl91,
% 1.22/1.04 zip_derived_cl93, zip_derived_cl94, zip_derived_cl95,
% 1.22/1.04 zip_derived_cl97, zip_derived_cl100])).
% 1.22/1.04 thf(zip_derived_cl108, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.22/1.04 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 1.22/1.04 (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.22/1.04 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl27, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84, zip_derived_cl88, zip_derived_cl91,
% 1.22/1.04 zip_derived_cl93, zip_derived_cl94, zip_derived_cl95,
% 1.22/1.04 zip_derived_cl97, zip_derived_cl100, zip_derived_cl103])).
% 1.22/1.04 thf(zip_derived_cl116, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.22/1.04 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.22/1.04 X14 : $i]:
% 1.22/1.04 (ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.22/1.04 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ skc16)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl35, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84, zip_derived_cl88, zip_derived_cl91,
% 1.22/1.04 zip_derived_cl93, zip_derived_cl94, zip_derived_cl95,
% 1.22/1.04 zip_derived_cl97, zip_derived_cl100, zip_derived_cl103,
% 1.22/1.04 zip_derived_cl108])).
% 1.22/1.04 thf(clause46, conjecture,
% 1.22/1.04 (~( ( ssPv19_2r1r1 @ U @ V ) | ( ~( ssNder1_0 ) ) |
% 1.22/1.04 ( ~( ssNder1_1r1 @ U ) ) | ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 1.22/1.04 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.22/1.04 ( ~( ssPv18_3r1r1r1 @ U @ V @ W ) ) |
% 1.22/1.04 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.22/1.04 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.22/1.04 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 1.22/1.04 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 1.22/1.04 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 1.22/1.04 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 1.22/1.04 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 1.22/1.04 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 1.22/1.04 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 1.22/1.04 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 1.22/1.04 ( ~( ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 1.22/1.04 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 1.22/1.04 ( ~( ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 1.22/1.04 X9 @ X10 ) ) |
% 1.22/1.04 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) ))).
% 1.22/1.04 thf(zf_stmt_30, negated_conjecture,
% 1.22/1.04 (( ssPv19_2r1r1 @ U @ V ) | ( ~( ssNder1_0 ) ) |
% 1.22/1.04 ( ~( ssNder1_1r1 @ U ) ) | ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 1.22/1.04 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.22/1.04 ( ~( ssPv18_3r1r1r1 @ U @ V @ W ) ) |
% 1.22/1.04 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.22/1.04 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.22/1.04 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 1.22/1.04 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 1.22/1.04 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 1.22/1.04 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 1.22/1.04 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 1.22/1.04 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 1.22/1.04 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 1.22/1.04 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 1.22/1.04 ( ~( ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 1.22/1.04 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 1.22/1.04 ( ~( ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 1.22/1.04 X10 ) ) |
% 1.22/1.04 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) )),
% 1.22/1.04 inference('cnf.neg', [status(esa)], [clause46])).
% 1.22/1.04 thf(zip_derived_cl45, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.22/1.04 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.22/1.04 X14 : $i, X15 : $i]:
% 1.22/1.04 ( (ssPv19_2r1r1 @ X0 @ X1)
% 1.22/1.04 | ~ (ssNder1_0)
% 1.22/1.04 | ~ (ssNder1_1r1 @ X0)
% 1.22/1.04 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 1.22/1.04 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 1.22/1.04 | ~ (ssPv18_3r1r1r1 @ X0 @ X1 @ X2)
% 1.22/1.04 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 1.22/1.04 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 1.22/1.04 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 1.22/1.04 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 1.22/1.04 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.22/1.04 X7)
% 1.22/1.04 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.22/1.04 X6 @ X7 @ X8)
% 1.22/1.04 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.22/1.04 X6 @ X7 @ X8 @ X9)
% 1.22/1.04 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.22/1.04 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 1.22/1.04 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.22/1.04 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 1.22/1.04 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.22/1.04 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 1.22/1.04 | ~ (ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.22/1.04 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 1.22/1.04 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 1.22/1.04 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 1.22/1.04 | ~ (ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 1.22/1.04 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15)
% 1.22/1.04 | ~ (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 1.22/1.04 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14))),
% 1.22/1.04 inference('cnf', [status(esa)], [zf_stmt_30])).
% 1.22/1.04 thf(zip_derived_cl0, plain, ( (ssNder1_0)),
% 1.22/1.04 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.22/1.04 thf(zip_derived_cl76, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 1.22/1.04 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 1.22/1.04 thf(zip_derived_cl77, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl2, zip_derived_cl0, zip_derived_cl76])).
% 1.22/1.04 thf(zip_derived_cl78, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl3, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77])).
% 1.22/1.04 thf(zip_derived_cl80, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.22/1.04 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl4, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78])).
% 1.22/1.04 thf(zip_derived_cl84, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.22/1.04 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl7, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80])).
% 1.22/1.04 thf(zip_derived_cl88, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.22/1.04 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl10, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84])).
% 1.22/1.04 thf(zip_derived_cl91, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 1.22/1.04 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl13, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84, zip_derived_cl88])).
% 1.22/1.04 thf(zip_derived_cl93, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 1.22/1.04 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl16, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84, zip_derived_cl88, zip_derived_cl91])).
% 1.22/1.04 thf(zip_derived_cl94, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.22/1.04 X7 : $i, X8 : $i]:
% 1.22/1.04 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.22/1.04 X7 @ X8)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl17, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84, zip_derived_cl88, zip_derived_cl91,
% 1.22/1.04 zip_derived_cl93])).
% 1.22/1.04 thf(zip_derived_cl95, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.22/1.04 X7 : $i, X8 : $i, X9 : $i]:
% 1.22/1.04 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.22/1.04 X7 @ X8 @ X9)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl18, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84, zip_derived_cl88, zip_derived_cl91,
% 1.22/1.04 zip_derived_cl93, zip_derived_cl94])).
% 1.22/1.04 thf(zip_derived_cl97, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.22/1.04 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 1.22/1.04 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.22/1.04 X6 @ X7 @ X8 @ X9 @ X10)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl20, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84, zip_derived_cl88, zip_derived_cl91,
% 1.22/1.04 zip_derived_cl93, zip_derived_cl94, zip_derived_cl95])).
% 1.22/1.04 thf(zip_derived_cl100, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.22/1.04 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 1.22/1.04 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.22/1.04 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl21, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84, zip_derived_cl88, zip_derived_cl91,
% 1.22/1.04 zip_derived_cl93, zip_derived_cl94, zip_derived_cl95,
% 1.22/1.04 zip_derived_cl97])).
% 1.22/1.04 thf(zip_derived_cl103, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.22/1.04 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 1.22/1.04 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.22/1.04 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl24, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84, zip_derived_cl88, zip_derived_cl91,
% 1.22/1.04 zip_derived_cl93, zip_derived_cl94, zip_derived_cl95,
% 1.22/1.04 zip_derived_cl97, zip_derived_cl100])).
% 1.22/1.04 thf(zip_derived_cl108, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.22/1.04 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 1.22/1.04 (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.22/1.04 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl27, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84, zip_derived_cl88, zip_derived_cl91,
% 1.22/1.04 zip_derived_cl93, zip_derived_cl94, zip_derived_cl95,
% 1.22/1.04 zip_derived_cl97, zip_derived_cl100, zip_derived_cl103])).
% 1.22/1.04 thf(zip_derived_cl114, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.22/1.04 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.22/1.04 X14 : $i]:
% 1.22/1.04 (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.22/1.04 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl34, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84, zip_derived_cl88, zip_derived_cl91,
% 1.22/1.04 zip_derived_cl93, zip_derived_cl94, zip_derived_cl95,
% 1.22/1.04 zip_derived_cl97, zip_derived_cl100, zip_derived_cl103,
% 1.22/1.04 zip_derived_cl108])).
% 1.22/1.04 thf(zip_derived_cl117, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.22/1.04 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.22/1.04 X14 : $i, X15 : $i]:
% 1.22/1.04 ( (ssPv19_2r1r1 @ X0 @ X1)
% 1.22/1.04 | ~ (ssPv18_3r1r1r1 @ X0 @ X1 @ X2)
% 1.22/1.04 | ~ (ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.22/1.04 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 1.22/1.04 | ~ (ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 1.22/1.04 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15))),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl45, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84, zip_derived_cl88, zip_derived_cl91,
% 1.22/1.04 zip_derived_cl93, zip_derived_cl94, zip_derived_cl95,
% 1.22/1.04 zip_derived_cl97, zip_derived_cl100, zip_derived_cl103,
% 1.22/1.04 zip_derived_cl108, zip_derived_cl114])).
% 1.22/1.04 thf(zip_derived_cl162, plain,
% 1.22/1.04 (![X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i, X8 : $i,
% 1.22/1.04 X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i, X14 : $i]:
% 1.22/1.04 ( (ssPv19_2r1r1 @ X14 @ X13)
% 1.22/1.04 | ~ (ssPv18_3r1r1r1 @ X14 @ X13 @ X12)
% 1.22/1.04 | ~ (ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X14 @ X13 @ X12 @ X11 @
% 1.22/1.04 X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2))),
% 1.22/1.04 inference('s_sup-', [status(thm)], [zip_derived_cl116, zip_derived_cl117])).
% 1.22/1.04 thf(zip_derived_cl163, plain,
% 1.22/1.04 (![X9 : $i, X10 : $i, X11 : $i]:
% 1.22/1.04 ( (ssPv19_2r1r1 @ X11 @ X10) | ~ (ssPv18_3r1r1r1 @ X11 @ X10 @ X9))),
% 1.22/1.04 inference('s_sup-', [status(thm)], [zip_derived_cl102, zip_derived_cl162])).
% 1.22/1.04 thf(zip_derived_cl174, plain,
% 1.22/1.04 (![X1 : $i, X2 : $i]: (~ (ssPv20_1r1 @ X2) | (ssPv19_2r1r1 @ X2 @ X1))),
% 1.22/1.04 inference('s_sup-', [status(thm)], [zip_derived_cl171, zip_derived_cl163])).
% 1.22/1.04 thf(zip_derived_cl105, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.22/1.04 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 1.22/1.04 (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.22/1.04 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ skc20)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl25, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84, zip_derived_cl88, zip_derived_cl91,
% 1.22/1.04 zip_derived_cl93, zip_derived_cl94, zip_derived_cl95,
% 1.22/1.04 zip_derived_cl97, zip_derived_cl100])).
% 1.22/1.04 thf(clause34, conjecture,
% 1.22/1.04 (~( ( ssPv14_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) |
% 1.22/1.04 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.22/1.04 ( ~( ssPv20_1r1 @ U ) ) | ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 1.22/1.04 ( ~( ssPv19_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.22/1.04 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.22/1.04 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.22/1.04 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 1.22/1.04 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 1.22/1.04 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 1.22/1.04 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 1.22/1.04 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 1.22/1.04 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 1.22/1.04 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 1.22/1.04 ( ~( ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 1.22/1.04 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) ))).
% 1.22/1.04 thf(zf_stmt_31, negated_conjecture,
% 1.22/1.04 (( ssPv14_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) |
% 1.22/1.04 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) | ( ~( ssPv20_1r1 @ U ) ) |
% 1.22/1.04 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssPv19_2r1r1 @ U @ V ) ) |
% 1.22/1.04 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.22/1.04 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.22/1.04 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.22/1.04 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 1.22/1.04 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 1.22/1.04 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 1.22/1.04 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 1.22/1.04 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 1.22/1.04 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 1.22/1.04 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 1.22/1.04 ( ~( ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 1.22/1.04 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) )),
% 1.22/1.04 inference('cnf.neg', [status(esa)], [clause34])).
% 1.22/1.04 thf(zip_derived_cl33, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.22/1.04 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 1.22/1.04 ( (ssPv14_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 1.22/1.04 | ~ (ssNder1_0)
% 1.22/1.04 | ~ (ssNder1_1r1 @ X0)
% 1.22/1.04 | ~ (ssPv20_1r1 @ X0)
% 1.22/1.04 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 1.22/1.04 | ~ (ssPv19_2r1r1 @ X0 @ X1)
% 1.22/1.04 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 1.22/1.04 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 1.22/1.04 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 1.22/1.04 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 1.22/1.04 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 1.22/1.04 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.22/1.04 X7)
% 1.22/1.04 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.22/1.04 X6 @ X7 @ X8)
% 1.22/1.04 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.22/1.04 X6 @ X7 @ X8 @ X9)
% 1.22/1.04 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.22/1.04 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 1.22/1.04 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.22/1.04 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 1.22/1.04 | ~ (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.22/1.04 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 1.22/1.04 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.22/1.04 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12))),
% 1.22/1.04 inference('cnf', [status(esa)], [zf_stmt_31])).
% 1.22/1.04 thf(zip_derived_cl0, plain, ( (ssNder1_0)),
% 1.22/1.04 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.22/1.04 thf(zip_derived_cl76, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 1.22/1.04 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 1.22/1.04 thf(zip_derived_cl77, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl2, zip_derived_cl0, zip_derived_cl76])).
% 1.22/1.04 thf(zip_derived_cl78, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl3, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77])).
% 1.22/1.04 thf(zip_derived_cl80, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.22/1.04 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl4, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78])).
% 1.22/1.04 thf(zip_derived_cl84, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.22/1.04 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl7, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80])).
% 1.22/1.04 thf(zip_derived_cl88, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.22/1.04 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl10, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84])).
% 1.22/1.04 thf(zip_derived_cl91, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 1.22/1.04 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl13, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84, zip_derived_cl88])).
% 1.22/1.04 thf(zip_derived_cl93, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 1.22/1.04 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl16, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84, zip_derived_cl88, zip_derived_cl91])).
% 1.22/1.04 thf(zip_derived_cl94, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.22/1.04 X7 : $i, X8 : $i]:
% 1.22/1.04 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.22/1.04 X7 @ X8)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl17, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84, zip_derived_cl88, zip_derived_cl91,
% 1.22/1.04 zip_derived_cl93])).
% 1.22/1.04 thf(zip_derived_cl95, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.22/1.04 X7 : $i, X8 : $i, X9 : $i]:
% 1.22/1.04 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.22/1.04 X7 @ X8 @ X9)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl18, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84, zip_derived_cl88, zip_derived_cl91,
% 1.22/1.04 zip_derived_cl93, zip_derived_cl94])).
% 1.22/1.04 thf(zip_derived_cl97, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.22/1.04 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 1.22/1.04 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.22/1.04 X6 @ X7 @ X8 @ X9 @ X10)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl20, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84, zip_derived_cl88, zip_derived_cl91,
% 1.22/1.04 zip_derived_cl93, zip_derived_cl94, zip_derived_cl95])).
% 1.22/1.04 thf(zip_derived_cl100, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.22/1.04 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 1.22/1.04 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.22/1.04 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl21, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84, zip_derived_cl88, zip_derived_cl91,
% 1.22/1.04 zip_derived_cl93, zip_derived_cl94, zip_derived_cl95,
% 1.22/1.04 zip_derived_cl97])).
% 1.22/1.04 thf(zip_derived_cl103, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.22/1.04 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 1.22/1.04 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.22/1.04 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl24, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84, zip_derived_cl88, zip_derived_cl91,
% 1.22/1.04 zip_derived_cl93, zip_derived_cl94, zip_derived_cl95,
% 1.22/1.04 zip_derived_cl97, zip_derived_cl100])).
% 1.22/1.04 thf(zip_derived_cl111, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.22/1.04 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 1.22/1.04 ( (ssPv14_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 1.22/1.04 | ~ (ssPv20_1r1 @ X0)
% 1.22/1.04 | ~ (ssPv19_2r1r1 @ X0 @ X1)
% 1.22/1.04 | ~ (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.22/1.04 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13))),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl33, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84, zip_derived_cl88, zip_derived_cl91,
% 1.22/1.04 zip_derived_cl93, zip_derived_cl94, zip_derived_cl95,
% 1.22/1.04 zip_derived_cl97, zip_derived_cl100, zip_derived_cl103])).
% 1.22/1.04 thf(zip_derived_cl158, plain,
% 1.22/1.04 (![X6 : $i, X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 1.22/1.04 ( (ssPv14_7r1r1r1r1r1r1r1 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6)
% 1.22/1.04 | ~ (ssPv20_1r1 @ X12)
% 1.22/1.04 | ~ (ssPv19_2r1r1 @ X12 @ X11))),
% 1.22/1.04 inference('s_sup-', [status(thm)], [zip_derived_cl105, zip_derived_cl111])).
% 1.22/1.04 thf(zip_derived_cl177, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 1.22/1.04 (~ (ssPv20_1r1 @ X1)
% 1.22/1.04 | (ssPv14_7r1r1r1r1r1r1r1 @ X1 @ X0 @ X6 @ X5 @ X4 @ X3 @ X2)
% 1.22/1.04 | ~ (ssPv20_1r1 @ X1))),
% 1.22/1.04 inference('s_sup-', [status(thm)], [zip_derived_cl174, zip_derived_cl158])).
% 1.22/1.04 thf(zip_derived_cl178, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 1.22/1.04 ( (ssPv14_7r1r1r1r1r1r1r1 @ X1 @ X0 @ X6 @ X5 @ X4 @ X3 @ X2)
% 1.22/1.04 | ~ (ssPv20_1r1 @ X1))),
% 1.22/1.04 inference('simplify', [status(thm)], [zip_derived_cl177])).
% 1.22/1.04 thf(zip_derived_cl85, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.22/1.04 ~ (ssPv14_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ skc27)),
% 1.22/1.04 inference('demod', [status(thm)], [zip_derived_cl83, zip_derived_cl84])).
% 1.22/1.04 thf(zip_derived_cl179, plain, (![X5 : $i]: ~ (ssPv20_1r1 @ X5)),
% 1.22/1.04 inference('s_sup-', [status(thm)], [zip_derived_cl178, zip_derived_cl85])).
% 1.22/1.04 thf(zip_derived_cl180, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.22/1.04 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 1.22/1.04 ( (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X13 @ X12 @ X11 @ X10 @
% 1.22/1.04 X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 1.22/1.04 | ~ (ssPv10_11r1r1r1r1r1r1r1r1r1r1r1 @ X13 @ X12 @ X11 @ X10 @ X9 @
% 1.22/1.04 X8 @ X7 @ X6 @ X5 @ X4 @ X3))),
% 1.22/1.04 inference('demod', [status(thm)], [zip_derived_cl165, zip_derived_cl179])).
% 1.22/1.04 thf(zip_derived_cl183, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.22/1.04 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 1.22/1.04 ( (ssPv11_10r1r1r1r1r1r1r1r1r1r1 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @
% 1.22/1.04 X4 @ X3 @ X2 @ X1)
% 1.22/1.04 | (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X10 @ X9 @ X8 @ X7 @ X6 @
% 1.22/1.04 X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X13 @ X12 @ X11))),
% 1.22/1.04 inference('s_sup-', [status(thm)], [zip_derived_cl182, zip_derived_cl180])).
% 1.22/1.04 thf(clause27, conjecture,
% 1.22/1.04 (~( ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.22/1.04 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 1.22/1.04 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.22/1.04 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.22/1.04 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.22/1.04 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 1.22/1.04 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 1.22/1.04 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 1.22/1.04 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 1.22/1.04 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 1.22/1.04 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 1.22/1.04 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 1.22/1.04 ( ~( ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ skc21 ) ) ))).
% 1.22/1.04 thf(zf_stmt_32, negated_conjecture,
% 1.22/1.04 (( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.22/1.04 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.22/1.04 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.22/1.04 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.22/1.04 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 1.22/1.04 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 1.22/1.04 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 1.22/1.04 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 1.22/1.04 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 1.22/1.04 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 1.22/1.04 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 1.22/1.04 ( ~( ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ skc21 ) )),
% 1.22/1.04 inference('cnf.neg', [status(esa)], [clause27])).
% 1.22/1.04 thf(zip_derived_cl26, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.22/1.04 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 1.22/1.04 (~ (ssNder1_0)
% 1.22/1.04 | ~ (ssNder1_1r1 @ X0)
% 1.22/1.04 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 1.22/1.04 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 1.22/1.04 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 1.22/1.04 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 1.22/1.04 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 1.22/1.04 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 1.22/1.04 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.22/1.04 X7)
% 1.22/1.04 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.22/1.04 X6 @ X7 @ X8)
% 1.22/1.04 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.22/1.04 X6 @ X7 @ X8 @ X9)
% 1.22/1.04 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.22/1.04 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 1.22/1.04 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.22/1.04 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 1.22/1.04 | ~ (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.22/1.04 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ skc21))),
% 1.22/1.04 inference('cnf', [status(esa)], [zf_stmt_32])).
% 1.22/1.04 thf(zip_derived_cl0, plain, ( (ssNder1_0)),
% 1.22/1.04 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.22/1.04 thf(zip_derived_cl76, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 1.22/1.04 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 1.22/1.04 thf(zip_derived_cl77, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl2, zip_derived_cl0, zip_derived_cl76])).
% 1.22/1.04 thf(zip_derived_cl78, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl3, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77])).
% 1.22/1.04 thf(zip_derived_cl80, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.22/1.04 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl4, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78])).
% 1.22/1.04 thf(zip_derived_cl84, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.22/1.04 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl7, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80])).
% 1.22/1.04 thf(zip_derived_cl88, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.22/1.04 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl10, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84])).
% 1.22/1.04 thf(zip_derived_cl91, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 1.22/1.04 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl13, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84, zip_derived_cl88])).
% 1.22/1.04 thf(zip_derived_cl93, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 1.22/1.04 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl16, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84, zip_derived_cl88, zip_derived_cl91])).
% 1.22/1.04 thf(zip_derived_cl94, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.22/1.04 X7 : $i, X8 : $i]:
% 1.22/1.04 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.22/1.04 X7 @ X8)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl17, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84, zip_derived_cl88, zip_derived_cl91,
% 1.22/1.04 zip_derived_cl93])).
% 1.22/1.04 thf(zip_derived_cl95, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.22/1.04 X7 : $i, X8 : $i, X9 : $i]:
% 1.22/1.04 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.22/1.04 X7 @ X8 @ X9)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl18, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84, zip_derived_cl88, zip_derived_cl91,
% 1.22/1.04 zip_derived_cl93, zip_derived_cl94])).
% 1.22/1.04 thf(zip_derived_cl97, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.22/1.04 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 1.22/1.04 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.22/1.04 X6 @ X7 @ X8 @ X9 @ X10)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl20, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84, zip_derived_cl88, zip_derived_cl91,
% 1.22/1.04 zip_derived_cl93, zip_derived_cl94, zip_derived_cl95])).
% 1.22/1.04 thf(zip_derived_cl99, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.22/1.04 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 1.22/1.04 (~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.22/1.04 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 1.22/1.04 | ~ (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.22/1.04 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ skc21))),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl26, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84, zip_derived_cl88, zip_derived_cl91,
% 1.22/1.04 zip_derived_cl93, zip_derived_cl94, zip_derived_cl95,
% 1.22/1.04 zip_derived_cl97])).
% 1.22/1.04 thf(zip_derived_cl100, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.22/1.04 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 1.22/1.04 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.22/1.04 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl21, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84, zip_derived_cl88, zip_derived_cl91,
% 1.22/1.04 zip_derived_cl93, zip_derived_cl94, zip_derived_cl95,
% 1.22/1.04 zip_derived_cl97])).
% 1.22/1.04 thf(zip_derived_cl101, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.22/1.04 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 1.22/1.04 ~ (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.22/1.04 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ skc21)),
% 1.22/1.04 inference('demod', [status(thm)], [zip_derived_cl99, zip_derived_cl100])).
% 1.22/1.04 thf(zip_derived_cl185, plain,
% 1.22/1.04 (![X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i, X8 : $i, X9 : $i,
% 1.22/1.04 X10 : $i, X11 : $i, X12 : $i]:
% 1.22/1.04 (ssPv11_10r1r1r1r1r1r1r1r1r1r1 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @
% 1.22/1.04 X6 @ X5 @ X4 @ X3)),
% 1.22/1.04 inference('s_sup-', [status(thm)], [zip_derived_cl183, zip_derived_cl101])).
% 1.22/1.04 thf(zip_derived_cl186, plain,
% 1.22/1.04 (![X11 : $i, X12 : $i]: ~ (ssPv19_2r1r1 @ X12 @ X11)),
% 1.22/1.04 inference('demod', [status(thm)], [zip_derived_cl160, zip_derived_cl185])).
% 1.22/1.04 thf(zip_derived_cl163, plain,
% 1.22/1.04 (![X9 : $i, X10 : $i, X11 : $i]:
% 1.22/1.04 ( (ssPv19_2r1r1 @ X11 @ X10) | ~ (ssPv18_3r1r1r1 @ X11 @ X10 @ X9))),
% 1.22/1.04 inference('s_sup-', [status(thm)], [zip_derived_cl102, zip_derived_cl162])).
% 1.22/1.04 thf(zip_derived_cl102, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.22/1.04 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 1.22/1.04 (ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.22/1.04 X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ skc22)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl22, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84, zip_derived_cl88, zip_derived_cl91,
% 1.22/1.04 zip_derived_cl93, zip_derived_cl94, zip_derived_cl95,
% 1.22/1.04 zip_derived_cl97])).
% 1.22/1.04 thf(clause74, conjecture,
% 1.22/1.04 (~( ( ssPv20_1r1 @ U ) |
% 1.22/1.04 ( ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) |
% 1.22/1.04 ( ssPv1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 1.22/1.04 X10 @ X11 @ X12 @ X13 @ X14 ) |
% 1.22/1.04 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.22/1.04 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 1.22/1.04 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.22/1.04 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.22/1.04 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.22/1.04 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 1.22/1.04 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 1.22/1.04 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 1.22/1.04 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 1.22/1.04 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 1.22/1.04 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 1.22/1.04 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 1.22/1.04 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 1.22/1.04 ( ~( ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 1.22/1.04 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 1.22/1.04 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 1.22/1.04 ( ~( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 1.22/1.04 X9 @ X10 ) ) |
% 1.22/1.04 ( ~( ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 1.22/1.04 X9 @ X10 @ X11 ) ) |
% 1.22/1.04 ( ~( ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 1.22/1.04 X9 @ X10 @ X11 @ X12 ) ) |
% 1.22/1.04 ( ~( ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 1.22/1.04 X9 @ X10 @ X11 @ X12 @ X13 ) ) ))).
% 1.22/1.04 thf(zf_stmt_33, negated_conjecture,
% 1.22/1.04 (( ssPv20_1r1 @ U ) |
% 1.22/1.04 ( ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) |
% 1.22/1.04 ( ssPv1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 1.22/1.04 X10 @ X11 @ X12 @ X13 @ X14 ) |
% 1.22/1.04 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.22/1.04 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.22/1.04 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.22/1.04 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.22/1.04 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 1.22/1.04 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 1.22/1.04 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 1.22/1.04 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 1.22/1.04 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 1.22/1.04 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 1.22/1.04 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 1.22/1.04 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 1.22/1.04 ( ~( ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 1.22/1.04 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 1.22/1.04 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 1.22/1.04 ( ~( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 1.22/1.04 X10 ) ) |
% 1.22/1.04 ( ~( ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 1.22/1.04 X10 @ X11 ) ) |
% 1.22/1.04 ( ~( ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 1.22/1.04 X10 @ X11 @ X12 ) ) |
% 1.22/1.04 ( ~( ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 1.22/1.04 X10 @ X11 @ X12 @ X13 ) )),
% 1.22/1.04 inference('cnf.neg', [status(esa)], [clause74])).
% 1.22/1.04 thf(zip_derived_cl73, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.22/1.04 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.22/1.04 X14 : $i, X15 : $i, X16 : $i, X17 : $i, X18 : $i, X19 : $i]:
% 1.22/1.04 ( (ssPv20_1r1 @ X0)
% 1.22/1.04 | (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.22/1.04 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 1.22/1.04 | (ssPv1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @
% 1.22/1.04 X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 1.22/1.04 X14 @ X15 @ X16 @ X17 @ X18 @ X19)
% 1.22/1.04 | ~ (ssNder1_0)
% 1.22/1.04 | ~ (ssNder1_1r1 @ X0)
% 1.22/1.04 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 1.22/1.04 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 1.22/1.04 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 1.22/1.04 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 1.22/1.04 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 1.22/1.04 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 1.22/1.04 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.22/1.04 X7)
% 1.22/1.04 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.22/1.04 X6 @ X7 @ X8)
% 1.22/1.04 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.22/1.04 X6 @ X7 @ X8 @ X9)
% 1.22/1.04 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.22/1.04 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 1.22/1.04 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.22/1.04 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 1.22/1.04 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.22/1.04 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 1.22/1.04 | ~ (ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.22/1.04 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 1.22/1.04 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 1.22/1.04 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 1.22/1.04 | ~ (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 1.22/1.04 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 1.22/1.04 | ~ (ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 1.22/1.04 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 1.22/1.04 X14 @ X15)
% 1.22/1.04 | ~ (ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 1.22/1.04 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 1.22/1.04 X14 @ X15 @ X16)
% 1.22/1.04 | ~ (ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 1.22/1.04 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 1.22/1.04 X14 @ X15 @ X16 @ X17)
% 1.22/1.04 | ~ (ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @
% 1.22/1.04 X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 1.22/1.04 X14 @ X15 @ X16 @ X17 @ X18))),
% 1.22/1.04 inference('cnf', [status(esa)], [zf_stmt_33])).
% 1.22/1.04 thf(zip_derived_cl0, plain, ( (ssNder1_0)),
% 1.22/1.04 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.22/1.04 thf(zip_derived_cl76, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 1.22/1.04 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 1.22/1.04 thf(zip_derived_cl77, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl2, zip_derived_cl0, zip_derived_cl76])).
% 1.22/1.04 thf(zip_derived_cl78, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl3, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77])).
% 1.22/1.04 thf(zip_derived_cl80, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.22/1.04 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl4, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78])).
% 1.22/1.04 thf(zip_derived_cl84, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.22/1.04 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl7, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80])).
% 1.22/1.04 thf(zip_derived_cl88, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.22/1.04 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl10, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84])).
% 1.22/1.04 thf(zip_derived_cl91, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 1.22/1.04 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl13, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84, zip_derived_cl88])).
% 1.22/1.04 thf(zip_derived_cl93, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 1.22/1.04 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl16, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84, zip_derived_cl88, zip_derived_cl91])).
% 1.22/1.04 thf(zip_derived_cl94, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.22/1.04 X7 : $i, X8 : $i]:
% 1.22/1.04 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.22/1.04 X7 @ X8)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl17, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84, zip_derived_cl88, zip_derived_cl91,
% 1.22/1.04 zip_derived_cl93])).
% 1.22/1.04 thf(zip_derived_cl95, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.22/1.04 X7 : $i, X8 : $i, X9 : $i]:
% 1.22/1.04 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.22/1.04 X7 @ X8 @ X9)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl18, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84, zip_derived_cl88, zip_derived_cl91,
% 1.22/1.04 zip_derived_cl93, zip_derived_cl94])).
% 1.22/1.04 thf(zip_derived_cl97, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.22/1.04 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 1.22/1.04 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.22/1.04 X6 @ X7 @ X8 @ X9 @ X10)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl20, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84, zip_derived_cl88, zip_derived_cl91,
% 1.22/1.04 zip_derived_cl93, zip_derived_cl94, zip_derived_cl95])).
% 1.22/1.04 thf(zip_derived_cl100, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.22/1.04 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 1.22/1.04 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.22/1.04 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl21, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84, zip_derived_cl88, zip_derived_cl91,
% 1.22/1.04 zip_derived_cl93, zip_derived_cl94, zip_derived_cl95,
% 1.22/1.04 zip_derived_cl97])).
% 1.22/1.04 thf(zip_derived_cl103, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.22/1.04 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 1.22/1.04 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.22/1.04 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl24, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84, zip_derived_cl88, zip_derived_cl91,
% 1.22/1.04 zip_derived_cl93, zip_derived_cl94, zip_derived_cl95,
% 1.22/1.04 zip_derived_cl97, zip_derived_cl100])).
% 1.22/1.04 thf(zip_derived_cl108, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.22/1.04 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 1.22/1.04 (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.22/1.04 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl27, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84, zip_derived_cl88, zip_derived_cl91,
% 1.22/1.04 zip_derived_cl93, zip_derived_cl94, zip_derived_cl95,
% 1.22/1.04 zip_derived_cl97, zip_derived_cl100, zip_derived_cl103])).
% 1.22/1.04 thf(zip_derived_cl114, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.22/1.04 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.22/1.04 X14 : $i]:
% 1.22/1.04 (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.22/1.04 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl34, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84, zip_derived_cl88, zip_derived_cl91,
% 1.22/1.04 zip_derived_cl93, zip_derived_cl94, zip_derived_cl95,
% 1.22/1.04 zip_derived_cl97, zip_derived_cl100, zip_derived_cl103,
% 1.22/1.04 zip_derived_cl108])).
% 1.22/1.04 thf(zip_derived_cl118, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.22/1.04 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.22/1.04 X14 : $i, X15 : $i]:
% 1.22/1.04 (ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 1.22/1.04 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl37, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84, zip_derived_cl88, zip_derived_cl91,
% 1.22/1.04 zip_derived_cl93, zip_derived_cl94, zip_derived_cl95,
% 1.22/1.04 zip_derived_cl97, zip_derived_cl100, zip_derived_cl103,
% 1.22/1.04 zip_derived_cl108, zip_derived_cl114])).
% 1.22/1.04 thf(zip_derived_cl121, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.22/1.04 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.22/1.04 X14 : $i, X15 : $i, X16 : $i]:
% 1.22/1.04 (ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 1.22/1.04 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @
% 1.22/1.04 X16)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl43, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84, zip_derived_cl88, zip_derived_cl91,
% 1.22/1.04 zip_derived_cl93, zip_derived_cl94, zip_derived_cl95,
% 1.22/1.04 zip_derived_cl97, zip_derived_cl100, zip_derived_cl103,
% 1.22/1.04 zip_derived_cl108, zip_derived_cl114, zip_derived_cl118])).
% 1.22/1.04 thf(zip_derived_cl125, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.22/1.04 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.22/1.04 X14 : $i, X15 : $i, X16 : $i, X17 : $i]:
% 1.22/1.04 (ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 1.22/1.04 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @
% 1.22/1.04 X15 @ X16 @ X17)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl46, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84, zip_derived_cl88, zip_derived_cl91,
% 1.22/1.04 zip_derived_cl93, zip_derived_cl94, zip_derived_cl95,
% 1.22/1.04 zip_derived_cl97, zip_derived_cl100, zip_derived_cl103,
% 1.22/1.04 zip_derived_cl108, zip_derived_cl114, zip_derived_cl118,
% 1.22/1.04 zip_derived_cl121])).
% 1.22/1.04 thf(clause52, conjecture,
% 1.22/1.04 (~( ( ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 1.22/1.04 X10 @ X11 @ X12 @ X13 ) |
% 1.22/1.04 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.22/1.04 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 1.22/1.04 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.22/1.04 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.22/1.04 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.22/1.04 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 1.22/1.04 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 1.22/1.04 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 1.22/1.04 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 1.22/1.04 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 1.22/1.04 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 1.22/1.04 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 1.22/1.04 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 1.22/1.04 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 1.22/1.04 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 1.22/1.04 ( ~( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 1.22/1.04 X9 @ X10 ) ) |
% 1.22/1.04 ( ~( ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 1.22/1.04 X9 @ X10 @ X11 ) ) |
% 1.22/1.04 ( ~( ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 1.22/1.04 X9 @ X10 @ X11 @ X12 ) ) ))).
% 1.22/1.04 thf(zf_stmt_34, negated_conjecture,
% 1.22/1.04 (( ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 1.22/1.04 X10 @ X11 @ X12 @ X13 ) |
% 1.22/1.04 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.22/1.04 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.22/1.04 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.22/1.04 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.22/1.04 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 1.22/1.04 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 1.22/1.04 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 1.22/1.04 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 1.22/1.04 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 1.22/1.04 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 1.22/1.04 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 1.22/1.04 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 1.22/1.04 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 1.22/1.04 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 1.22/1.04 ( ~( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 1.22/1.04 X10 ) ) |
% 1.22/1.04 ( ~( ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 1.22/1.04 X10 @ X11 ) ) |
% 1.22/1.04 ( ~( ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 1.22/1.04 X10 @ X11 @ X12 ) )),
% 1.22/1.04 inference('cnf.neg', [status(esa)], [clause52])).
% 1.22/1.04 thf(zip_derived_cl51, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.22/1.04 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.22/1.04 X14 : $i, X15 : $i, X16 : $i, X17 : $i, X18 : $i]:
% 1.22/1.04 ( (ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 1.22/1.04 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @
% 1.22/1.04 X15 @ X16 @ X17 @ X18)
% 1.22/1.04 | ~ (ssNder1_0)
% 1.22/1.04 | ~ (ssNder1_1r1 @ X0)
% 1.22/1.04 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 1.22/1.04 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 1.22/1.04 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 1.22/1.04 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 1.22/1.04 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 1.22/1.04 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 1.22/1.04 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.22/1.04 X7)
% 1.22/1.04 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.22/1.04 X6 @ X7 @ X8)
% 1.22/1.04 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.22/1.04 X6 @ X7 @ X8 @ X9)
% 1.22/1.04 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.22/1.04 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 1.22/1.04 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.22/1.04 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 1.22/1.04 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.22/1.04 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 1.22/1.04 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 1.22/1.04 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 1.22/1.04 | ~ (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 1.22/1.04 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 1.22/1.04 | ~ (ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 1.22/1.04 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 1.22/1.04 X14 @ X15)
% 1.22/1.04 | ~ (ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 1.22/1.04 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 1.22/1.04 X14 @ X15 @ X16)
% 1.22/1.04 | ~ (ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 1.22/1.04 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 1.22/1.04 X14 @ X15 @ X16 @ X17))),
% 1.22/1.04 inference('cnf', [status(esa)], [zf_stmt_34])).
% 1.22/1.04 thf(zip_derived_cl0, plain, ( (ssNder1_0)),
% 1.22/1.04 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.22/1.04 thf(zip_derived_cl76, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 1.22/1.04 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 1.22/1.04 thf(zip_derived_cl77, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl2, zip_derived_cl0, zip_derived_cl76])).
% 1.22/1.04 thf(zip_derived_cl78, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl3, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77])).
% 1.22/1.04 thf(zip_derived_cl80, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.22/1.04 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl4, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78])).
% 1.22/1.04 thf(zip_derived_cl84, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.22/1.04 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl7, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80])).
% 1.22/1.04 thf(zip_derived_cl88, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.22/1.04 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl10, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84])).
% 1.22/1.04 thf(zip_derived_cl91, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 1.22/1.04 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl13, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84, zip_derived_cl88])).
% 1.22/1.04 thf(zip_derived_cl93, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 1.22/1.04 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl16, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84, zip_derived_cl88, zip_derived_cl91])).
% 1.22/1.04 thf(zip_derived_cl94, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.22/1.04 X7 : $i, X8 : $i]:
% 1.22/1.04 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.22/1.04 X7 @ X8)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl17, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84, zip_derived_cl88, zip_derived_cl91,
% 1.22/1.04 zip_derived_cl93])).
% 1.22/1.04 thf(zip_derived_cl95, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.22/1.04 X7 : $i, X8 : $i, X9 : $i]:
% 1.22/1.04 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.22/1.04 X7 @ X8 @ X9)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl18, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84, zip_derived_cl88, zip_derived_cl91,
% 1.22/1.04 zip_derived_cl93, zip_derived_cl94])).
% 1.22/1.04 thf(zip_derived_cl97, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.22/1.04 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 1.22/1.04 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.22/1.04 X6 @ X7 @ X8 @ X9 @ X10)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl20, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84, zip_derived_cl88, zip_derived_cl91,
% 1.22/1.04 zip_derived_cl93, zip_derived_cl94, zip_derived_cl95])).
% 1.22/1.04 thf(zip_derived_cl100, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.22/1.04 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 1.22/1.04 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.22/1.04 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl21, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84, zip_derived_cl88, zip_derived_cl91,
% 1.22/1.04 zip_derived_cl93, zip_derived_cl94, zip_derived_cl95,
% 1.22/1.04 zip_derived_cl97])).
% 1.22/1.04 thf(zip_derived_cl103, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.22/1.04 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 1.22/1.04 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.22/1.04 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl24, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84, zip_derived_cl88, zip_derived_cl91,
% 1.22/1.04 zip_derived_cl93, zip_derived_cl94, zip_derived_cl95,
% 1.22/1.04 zip_derived_cl97, zip_derived_cl100])).
% 1.22/1.04 thf(zip_derived_cl108, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.22/1.04 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 1.22/1.04 (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.22/1.04 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl27, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84, zip_derived_cl88, zip_derived_cl91,
% 1.22/1.04 zip_derived_cl93, zip_derived_cl94, zip_derived_cl95,
% 1.22/1.04 zip_derived_cl97, zip_derived_cl100, zip_derived_cl103])).
% 1.22/1.04 thf(zip_derived_cl114, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.22/1.04 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.22/1.04 X14 : $i]:
% 1.22/1.04 (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.22/1.04 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl34, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84, zip_derived_cl88, zip_derived_cl91,
% 1.22/1.04 zip_derived_cl93, zip_derived_cl94, zip_derived_cl95,
% 1.22/1.04 zip_derived_cl97, zip_derived_cl100, zip_derived_cl103,
% 1.22/1.04 zip_derived_cl108])).
% 1.22/1.04 thf(zip_derived_cl118, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.22/1.04 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.22/1.04 X14 : $i, X15 : $i]:
% 1.22/1.04 (ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 1.22/1.04 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl37, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84, zip_derived_cl88, zip_derived_cl91,
% 1.22/1.04 zip_derived_cl93, zip_derived_cl94, zip_derived_cl95,
% 1.22/1.04 zip_derived_cl97, zip_derived_cl100, zip_derived_cl103,
% 1.22/1.04 zip_derived_cl108, zip_derived_cl114])).
% 1.22/1.04 thf(zip_derived_cl121, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.22/1.04 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.22/1.04 X14 : $i, X15 : $i, X16 : $i]:
% 1.22/1.04 (ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 1.22/1.04 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @
% 1.22/1.04 X16)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl43, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84, zip_derived_cl88, zip_derived_cl91,
% 1.22/1.04 zip_derived_cl93, zip_derived_cl94, zip_derived_cl95,
% 1.22/1.04 zip_derived_cl97, zip_derived_cl100, zip_derived_cl103,
% 1.22/1.04 zip_derived_cl108, zip_derived_cl114, zip_derived_cl118])).
% 1.22/1.04 thf(zip_derived_cl125, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.22/1.04 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.22/1.04 X14 : $i, X15 : $i, X16 : $i, X17 : $i]:
% 1.22/1.04 (ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 1.22/1.04 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @
% 1.22/1.04 X15 @ X16 @ X17)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl46, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84, zip_derived_cl88, zip_derived_cl91,
% 1.22/1.04 zip_derived_cl93, zip_derived_cl94, zip_derived_cl95,
% 1.22/1.04 zip_derived_cl97, zip_derived_cl100, zip_derived_cl103,
% 1.22/1.04 zip_derived_cl108, zip_derived_cl114, zip_derived_cl118,
% 1.22/1.04 zip_derived_cl121])).
% 1.22/1.04 thf(zip_derived_cl131, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.22/1.04 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.22/1.04 X14 : $i, X15 : $i, X16 : $i, X17 : $i, X18 : $i]:
% 1.22/1.04 (ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 1.22/1.04 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @
% 1.22/1.04 X15 @ X16 @ X17 @ X18)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl51, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84, zip_derived_cl88, zip_derived_cl91,
% 1.22/1.04 zip_derived_cl93, zip_derived_cl94, zip_derived_cl95,
% 1.22/1.04 zip_derived_cl97, zip_derived_cl100, zip_derived_cl103,
% 1.22/1.04 zip_derived_cl108, zip_derived_cl114, zip_derived_cl118,
% 1.22/1.04 zip_derived_cl121, zip_derived_cl125])).
% 1.22/1.04 thf(zip_derived_cl152, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.22/1.04 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.22/1.04 X14 : $i, X15 : $i, X16 : $i, X17 : $i, X18 : $i, X19 : $i]:
% 1.22/1.04 ( (ssPv20_1r1 @ X0)
% 1.22/1.04 | (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.22/1.04 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 1.22/1.04 | (ssPv1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @
% 1.22/1.04 X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 1.22/1.04 X14 @ X15 @ X16 @ X17 @ X18 @ X19)
% 1.22/1.04 | ~ (ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.22/1.04 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12))),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl73, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84, zip_derived_cl88, zip_derived_cl91,
% 1.22/1.04 zip_derived_cl93, zip_derived_cl94, zip_derived_cl95,
% 1.22/1.04 zip_derived_cl97, zip_derived_cl100, zip_derived_cl103,
% 1.22/1.04 zip_derived_cl108, zip_derived_cl114, zip_derived_cl118,
% 1.22/1.04 zip_derived_cl121, zip_derived_cl125, zip_derived_cl131])).
% 1.22/1.04 thf(zip_derived_cl179, plain, (![X5 : $i]: ~ (ssPv20_1r1 @ X5)),
% 1.22/1.04 inference('s_sup-', [status(thm)], [zip_derived_cl178, zip_derived_cl85])).
% 1.22/1.04 thf(zip_derived_cl217, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.22/1.04 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.22/1.04 X14 : $i, X15 : $i, X16 : $i, X17 : $i, X18 : $i, X19 : $i]:
% 1.22/1.04 ( (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.22/1.04 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 1.22/1.04 | (ssPv1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @
% 1.22/1.04 X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 1.22/1.04 X14 @ X15 @ X16 @ X17 @ X18 @ X19)
% 1.22/1.04 | ~ (ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.22/1.04 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12))),
% 1.22/1.04 inference('demod', [status(thm)], [zip_derived_cl152, zip_derived_cl179])).
% 1.22/1.04 thf(zip_derived_cl218, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.22/1.04 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.22/1.04 X14 : $i, X15 : $i, X16 : $i, X17 : $i, X18 : $i]:
% 1.22/1.04 ( (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X11 @ X10 @ X9 @ X8 @ X7 @
% 1.22/1.04 X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ skc22 @ X12)
% 1.22/1.04 | (ssPv1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X11 @ X10 @
% 1.22/1.04 X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ skc22 @ X12 @
% 1.22/1.04 X18 @ X17 @ X16 @ X15 @ X14 @ X13))),
% 1.22/1.04 inference('s_sup-', [status(thm)], [zip_derived_cl102, zip_derived_cl217])).
% 1.22/1.04 thf(clause70, conjecture,
% 1.22/1.04 (~( ( ssPv18_3r1r1r1 @ U @ V @ W ) |
% 1.22/1.04 ( ssPv14_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) |
% 1.22/1.04 ( ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) |
% 1.22/1.04 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.22/1.04 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 1.22/1.04 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.22/1.04 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.22/1.04 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.22/1.04 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 1.22/1.04 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 1.22/1.04 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 1.22/1.04 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 1.22/1.04 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 1.22/1.04 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 1.22/1.04 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 1.22/1.04 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 1.22/1.04 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 1.22/1.04 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 1.22/1.04 ( ~( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 1.22/1.04 X9 @ X10 ) ) |
% 1.22/1.04 ( ~( ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 1.22/1.04 X9 @ X10 @ X11 ) ) |
% 1.22/1.04 ( ~( ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 1.22/1.04 X9 @ X10 @ X11 @ X12 ) ) |
% 1.22/1.04 ( ~( ssPv1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 1.22/1.04 X9 @ X10 @ X11 @ X12 @ X13 @ X14 ) ) |
% 1.22/1.04 ( ~( ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 1.22/1.04 X9 @ X10 @ X11 @ X12 @ X13 ) ) ))).
% 1.22/1.04 thf(zf_stmt_35, negated_conjecture,
% 1.22/1.04 (( ssPv18_3r1r1r1 @ U @ V @ W ) |
% 1.22/1.04 ( ssPv14_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) |
% 1.22/1.04 ( ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) |
% 1.22/1.04 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.22/1.04 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.22/1.04 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.22/1.04 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.22/1.04 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 1.22/1.04 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 1.22/1.04 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 1.22/1.04 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 1.22/1.04 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 1.22/1.04 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 1.22/1.04 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 1.22/1.04 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 1.22/1.04 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 1.22/1.04 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 1.22/1.04 ( ~( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 1.22/1.04 X10 ) ) |
% 1.22/1.04 ( ~( ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 1.22/1.04 X10 @ X11 ) ) |
% 1.22/1.04 ( ~( ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 1.22/1.04 X10 @ X11 @ X12 ) ) |
% 1.22/1.04 ( ~( ssPv1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 1.22/1.04 X10 @ X11 @ X12 @ X13 @ X14 ) ) |
% 1.22/1.04 ( ~( ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 1.22/1.04 X10 @ X11 @ X12 @ X13 ) )),
% 1.22/1.04 inference('cnf.neg', [status(esa)], [clause70])).
% 1.22/1.04 thf(zip_derived_cl69, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.22/1.04 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.22/1.04 X14 : $i, X15 : $i, X16 : $i, X17 : $i, X18 : $i, X19 : $i]:
% 1.22/1.04 ( (ssPv18_3r1r1r1 @ X0 @ X1 @ X2)
% 1.22/1.04 | (ssPv14_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 1.22/1.04 | (ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 1.22/1.04 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 1.22/1.04 | ~ (ssNder1_0)
% 1.22/1.04 | ~ (ssNder1_1r1 @ X0)
% 1.22/1.04 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 1.22/1.04 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 1.22/1.04 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 1.22/1.04 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 1.22/1.04 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 1.22/1.04 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 1.22/1.04 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.22/1.04 X7)
% 1.22/1.04 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.22/1.04 X6 @ X7 @ X8)
% 1.22/1.04 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.22/1.04 X6 @ X7 @ X8 @ X9)
% 1.22/1.04 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.22/1.04 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 1.22/1.04 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.22/1.04 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 1.22/1.04 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.22/1.04 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 1.22/1.04 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 1.22/1.04 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 1.22/1.04 | ~ (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 1.22/1.04 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 1.22/1.04 | ~ (ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 1.22/1.04 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 1.22/1.04 X14 @ X15)
% 1.22/1.04 | ~ (ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 1.22/1.04 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 1.22/1.04 X14 @ X15 @ X16)
% 1.22/1.04 | ~ (ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 1.22/1.04 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 1.22/1.04 X14 @ X15 @ X16 @ X17)
% 1.22/1.04 | ~ (ssPv1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @
% 1.22/1.04 X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 1.22/1.04 X14 @ X15 @ X16 @ X17 @ X18 @ X19)
% 1.22/1.04 | ~ (ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @
% 1.22/1.04 X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 1.22/1.04 X14 @ X15 @ X16 @ X17 @ X18))),
% 1.22/1.04 inference('cnf', [status(esa)], [zf_stmt_35])).
% 1.22/1.04 thf(zip_derived_cl0, plain, ( (ssNder1_0)),
% 1.22/1.04 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.22/1.04 thf(zip_derived_cl76, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 1.22/1.04 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 1.22/1.04 thf(zip_derived_cl77, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl2, zip_derived_cl0, zip_derived_cl76])).
% 1.22/1.04 thf(zip_derived_cl78, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl3, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77])).
% 1.22/1.04 thf(zip_derived_cl80, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.22/1.04 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl4, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78])).
% 1.22/1.04 thf(zip_derived_cl84, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.22/1.04 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl7, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80])).
% 1.22/1.04 thf(zip_derived_cl88, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.22/1.04 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl10, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84])).
% 1.22/1.04 thf(zip_derived_cl91, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 1.22/1.04 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl13, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84, zip_derived_cl88])).
% 1.22/1.04 thf(zip_derived_cl93, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 1.22/1.04 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl16, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84, zip_derived_cl88, zip_derived_cl91])).
% 1.22/1.04 thf(zip_derived_cl94, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.22/1.04 X7 : $i, X8 : $i]:
% 1.22/1.04 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.22/1.04 X7 @ X8)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl17, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84, zip_derived_cl88, zip_derived_cl91,
% 1.22/1.04 zip_derived_cl93])).
% 1.22/1.04 thf(zip_derived_cl95, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.22/1.04 X7 : $i, X8 : $i, X9 : $i]:
% 1.22/1.04 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.22/1.04 X7 @ X8 @ X9)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl18, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84, zip_derived_cl88, zip_derived_cl91,
% 1.22/1.04 zip_derived_cl93, zip_derived_cl94])).
% 1.22/1.04 thf(zip_derived_cl97, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.22/1.04 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 1.22/1.04 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.22/1.04 X6 @ X7 @ X8 @ X9 @ X10)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl20, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84, zip_derived_cl88, zip_derived_cl91,
% 1.22/1.04 zip_derived_cl93, zip_derived_cl94, zip_derived_cl95])).
% 1.22/1.04 thf(zip_derived_cl100, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.22/1.04 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 1.22/1.04 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.22/1.04 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl21, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84, zip_derived_cl88, zip_derived_cl91,
% 1.22/1.04 zip_derived_cl93, zip_derived_cl94, zip_derived_cl95,
% 1.22/1.04 zip_derived_cl97])).
% 1.22/1.04 thf(zip_derived_cl103, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.22/1.04 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 1.22/1.04 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.22/1.04 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl24, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84, zip_derived_cl88, zip_derived_cl91,
% 1.22/1.04 zip_derived_cl93, zip_derived_cl94, zip_derived_cl95,
% 1.22/1.04 zip_derived_cl97, zip_derived_cl100])).
% 1.22/1.04 thf(zip_derived_cl108, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.22/1.04 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 1.22/1.04 (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.22/1.04 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl27, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84, zip_derived_cl88, zip_derived_cl91,
% 1.22/1.04 zip_derived_cl93, zip_derived_cl94, zip_derived_cl95,
% 1.22/1.04 zip_derived_cl97, zip_derived_cl100, zip_derived_cl103])).
% 1.22/1.04 thf(zip_derived_cl114, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.22/1.04 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.22/1.04 X14 : $i]:
% 1.22/1.04 (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.22/1.04 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl34, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84, zip_derived_cl88, zip_derived_cl91,
% 1.22/1.04 zip_derived_cl93, zip_derived_cl94, zip_derived_cl95,
% 1.22/1.04 zip_derived_cl97, zip_derived_cl100, zip_derived_cl103,
% 1.22/1.04 zip_derived_cl108])).
% 1.22/1.04 thf(zip_derived_cl118, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.22/1.04 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.22/1.04 X14 : $i, X15 : $i]:
% 1.22/1.04 (ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 1.22/1.04 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl37, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84, zip_derived_cl88, zip_derived_cl91,
% 1.22/1.04 zip_derived_cl93, zip_derived_cl94, zip_derived_cl95,
% 1.22/1.04 zip_derived_cl97, zip_derived_cl100, zip_derived_cl103,
% 1.22/1.04 zip_derived_cl108, zip_derived_cl114])).
% 1.22/1.04 thf(zip_derived_cl121, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.22/1.04 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.22/1.04 X14 : $i, X15 : $i, X16 : $i]:
% 1.22/1.04 (ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 1.22/1.04 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @
% 1.22/1.04 X16)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl43, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84, zip_derived_cl88, zip_derived_cl91,
% 1.22/1.04 zip_derived_cl93, zip_derived_cl94, zip_derived_cl95,
% 1.22/1.04 zip_derived_cl97, zip_derived_cl100, zip_derived_cl103,
% 1.22/1.04 zip_derived_cl108, zip_derived_cl114, zip_derived_cl118])).
% 1.22/1.04 thf(zip_derived_cl125, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.22/1.04 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.22/1.04 X14 : $i, X15 : $i, X16 : $i, X17 : $i]:
% 1.22/1.04 (ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 1.22/1.04 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @
% 1.22/1.04 X15 @ X16 @ X17)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl46, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84, zip_derived_cl88, zip_derived_cl91,
% 1.22/1.04 zip_derived_cl93, zip_derived_cl94, zip_derived_cl95,
% 1.22/1.04 zip_derived_cl97, zip_derived_cl100, zip_derived_cl103,
% 1.22/1.04 zip_derived_cl108, zip_derived_cl114, zip_derived_cl118,
% 1.22/1.04 zip_derived_cl121])).
% 1.22/1.04 thf(zip_derived_cl131, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.22/1.04 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.22/1.04 X14 : $i, X15 : $i, X16 : $i, X17 : $i, X18 : $i]:
% 1.22/1.04 (ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 1.22/1.04 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @
% 1.22/1.04 X15 @ X16 @ X17 @ X18)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl51, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84, zip_derived_cl88, zip_derived_cl91,
% 1.22/1.04 zip_derived_cl93, zip_derived_cl94, zip_derived_cl95,
% 1.22/1.04 zip_derived_cl97, zip_derived_cl100, zip_derived_cl103,
% 1.22/1.04 zip_derived_cl108, zip_derived_cl114, zip_derived_cl118,
% 1.22/1.04 zip_derived_cl121, zip_derived_cl125])).
% 1.22/1.04 thf(zip_derived_cl148, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.22/1.04 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.22/1.04 X14 : $i, X15 : $i, X16 : $i, X17 : $i, X18 : $i, X19 : $i]:
% 1.22/1.04 ( (ssPv18_3r1r1r1 @ X0 @ X1 @ X2)
% 1.22/1.04 | (ssPv14_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 1.22/1.04 | (ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 1.22/1.04 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 1.22/1.04 | ~ (ssPv1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @
% 1.22/1.04 X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 1.22/1.04 X14 @ X15 @ X16 @ X17 @ X18 @ X19))),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl69, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84, zip_derived_cl88, zip_derived_cl91,
% 1.22/1.04 zip_derived_cl93, zip_derived_cl94, zip_derived_cl95,
% 1.22/1.04 zip_derived_cl97, zip_derived_cl100, zip_derived_cl103,
% 1.22/1.04 zip_derived_cl108, zip_derived_cl114, zip_derived_cl118,
% 1.22/1.04 zip_derived_cl121, zip_derived_cl125, zip_derived_cl131])).
% 1.22/1.04 thf(zip_derived_cl220, plain,
% 1.22/1.04 (![X5 : $i, X6 : $i, X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i,
% 1.22/1.04 X12 : $i, X13 : $i, X14 : $i, X15 : $i, X16 : $i, X17 : $i, X18 : $i]:
% 1.22/1.04 ( (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X18 @ X17 @ X16 @ X15 @
% 1.22/1.04 X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ skc22 @ X6)
% 1.22/1.04 | (ssPv18_3r1r1r1 @ X18 @ X17 @ X16)
% 1.22/1.04 | (ssPv14_7r1r1r1r1r1r1r1 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12)
% 1.22/1.04 | (ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X18 @ X17 @ X16 @ X15 @
% 1.22/1.04 X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ skc22 @ X6 @ X5))),
% 1.22/1.04 inference('s_sup-', [status(thm)], [zip_derived_cl218, zip_derived_cl148])).
% 1.22/1.04 thf(clause32, conjecture,
% 1.22/1.04 (~( ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.22/1.04 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 1.22/1.04 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.22/1.04 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.22/1.04 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.22/1.04 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 1.22/1.04 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 1.22/1.04 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 1.22/1.04 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 1.22/1.04 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 1.22/1.04 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 1.22/1.04 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 1.22/1.04 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 1.22/1.04 ( ~( ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 1.22/1.04 skc19 ) ) ))).
% 1.22/1.04 thf(zf_stmt_36, negated_conjecture,
% 1.22/1.04 (( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.22/1.04 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.22/1.04 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.22/1.04 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.22/1.04 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 1.22/1.04 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 1.22/1.04 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 1.22/1.04 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 1.22/1.04 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 1.22/1.04 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 1.22/1.04 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 1.22/1.04 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 1.22/1.04 ( ~( ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.22/1.04 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ skc19 ) )),
% 1.22/1.04 inference('cnf.neg', [status(esa)], [clause32])).
% 1.22/1.04 thf(zip_derived_cl31, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.22/1.04 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 1.22/1.04 (~ (ssNder1_0)
% 1.22/1.04 | ~ (ssNder1_1r1 @ X0)
% 1.22/1.04 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 1.22/1.04 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 1.22/1.04 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 1.22/1.04 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 1.22/1.04 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 1.22/1.04 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 1.22/1.04 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.22/1.04 X7)
% 1.22/1.04 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.22/1.04 X6 @ X7 @ X8)
% 1.22/1.04 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.22/1.04 X6 @ X7 @ X8 @ X9)
% 1.22/1.04 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.22/1.04 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 1.22/1.04 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.22/1.04 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 1.22/1.04 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.22/1.04 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 1.22/1.04 | ~ (ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 1.22/1.04 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ skc19))),
% 1.22/1.04 inference('cnf', [status(esa)], [zf_stmt_36])).
% 1.22/1.04 thf(zip_derived_cl0, plain, ( (ssNder1_0)),
% 1.22/1.04 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.22/1.04 thf(zip_derived_cl76, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 1.22/1.04 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 1.22/1.04 thf(zip_derived_cl77, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl2, zip_derived_cl0, zip_derived_cl76])).
% 1.22/1.04 thf(zip_derived_cl78, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl3, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77])).
% 1.22/1.04 thf(zip_derived_cl80, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.22/1.04 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl4, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78])).
% 1.22/1.04 thf(zip_derived_cl84, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.22/1.04 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl7, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80])).
% 1.22/1.04 thf(zip_derived_cl88, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.22/1.04 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl10, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84])).
% 1.22/1.04 thf(zip_derived_cl91, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 1.22/1.04 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl13, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84, zip_derived_cl88])).
% 1.22/1.04 thf(zip_derived_cl93, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 1.22/1.04 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl16, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84, zip_derived_cl88, zip_derived_cl91])).
% 1.22/1.04 thf(zip_derived_cl94, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.22/1.04 X7 : $i, X8 : $i]:
% 1.22/1.04 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.22/1.04 X7 @ X8)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl17, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84, zip_derived_cl88, zip_derived_cl91,
% 1.22/1.04 zip_derived_cl93])).
% 1.22/1.04 thf(zip_derived_cl95, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.22/1.04 X7 : $i, X8 : $i, X9 : $i]:
% 1.22/1.04 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.22/1.04 X7 @ X8 @ X9)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl18, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84, zip_derived_cl88, zip_derived_cl91,
% 1.22/1.04 zip_derived_cl93, zip_derived_cl94])).
% 1.22/1.04 thf(zip_derived_cl97, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.22/1.04 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 1.22/1.04 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.22/1.04 X6 @ X7 @ X8 @ X9 @ X10)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl20, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84, zip_derived_cl88, zip_derived_cl91,
% 1.22/1.04 zip_derived_cl93, zip_derived_cl94, zip_derived_cl95])).
% 1.22/1.04 thf(zip_derived_cl100, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.22/1.04 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 1.22/1.04 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.22/1.04 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl21, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84, zip_derived_cl88, zip_derived_cl91,
% 1.22/1.04 zip_derived_cl93, zip_derived_cl94, zip_derived_cl95,
% 1.22/1.04 zip_derived_cl97])).
% 1.22/1.04 thf(zip_derived_cl103, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.22/1.04 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 1.22/1.04 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.22/1.04 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl24, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84, zip_derived_cl88, zip_derived_cl91,
% 1.22/1.04 zip_derived_cl93, zip_derived_cl94, zip_derived_cl95,
% 1.22/1.04 zip_derived_cl97, zip_derived_cl100])).
% 1.22/1.04 thf(zip_derived_cl104, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.22/1.04 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 1.22/1.04 ~ (ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.22/1.04 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ skc19)),
% 1.22/1.04 inference('demod', [status(thm)],
% 1.22/1.04 [zip_derived_cl31, zip_derived_cl0, zip_derived_cl76,
% 1.22/1.04 zip_derived_cl77, zip_derived_cl78, zip_derived_cl80,
% 1.22/1.04 zip_derived_cl84, zip_derived_cl88, zip_derived_cl91,
% 1.22/1.04 zip_derived_cl93, zip_derived_cl94, zip_derived_cl95,
% 1.22/1.04 zip_derived_cl97, zip_derived_cl100, zip_derived_cl103])).
% 1.22/1.04 thf(zip_derived_cl222, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.22/1.04 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 1.22/1.04 ( (ssPv14_7r1r1r1r1r1r1r1 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6)
% 1.22/1.04 | (ssPv18_3r1r1r1 @ X12 @ X11 @ X10)
% 1.22/1.04 | (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X12 @ X11 @ X10 @ X9 @
% 1.22/1.04 X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ skc22 @ X0))),
% 1.22/1.04 inference('s_sup-', [status(thm)], [zip_derived_cl220, zip_derived_cl104])).
% 1.22/1.04 thf(zip_derived_cl101, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.22/1.04 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 1.22/1.04 ~ (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.22/1.04 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ skc21)),
% 1.22/1.04 inference('demod', [status(thm)], [zip_derived_cl99, zip_derived_cl100])).
% 1.22/1.04 thf(zip_derived_cl223, plain,
% 1.22/1.04 (![X5 : $i, X6 : $i, X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 1.22/1.04 ( (ssPv18_3r1r1r1 @ X11 @ X10 @ X9)
% 1.22/1.04 | (ssPv14_7r1r1r1r1r1r1r1 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5))),
% 1.22/1.04 inference('s_sup-', [status(thm)], [zip_derived_cl222, zip_derived_cl101])).
% 1.22/1.04 thf(zip_derived_cl85, plain,
% 1.22/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.22/1.04 ~ (ssPv14_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ skc27)),
% 1.22/1.04 inference('demod', [status(thm)], [zip_derived_cl83, zip_derived_cl84])).
% 1.22/1.04 thf(zip_derived_cl225, plain,
% 1.22/1.04 (![X3 : $i, X4 : $i, X5 : $i]: (ssPv18_3r1r1r1 @ X5 @ X4 @ X3)),
% 1.22/1.04 inference('s_sup-', [status(thm)], [zip_derived_cl223, zip_derived_cl85])).
% 1.22/1.04 thf(zip_derived_cl232, plain,
% 1.22/1.04 (![X10 : $i, X11 : $i]: (ssPv19_2r1r1 @ X11 @ X10)),
% 1.22/1.04 inference('demod', [status(thm)], [zip_derived_cl163, zip_derived_cl225])).
% 1.22/1.04 thf(zip_derived_cl235, plain, ($false),
% 1.22/1.04 inference('demod', [status(thm)], [zip_derived_cl186, zip_derived_cl232])).
% 1.22/1.05
% 1.22/1.05 % SZS output end Refutation
% 1.22/1.05
% 1.22/1.05
% 1.22/1.05 % Terminating...
% 1.89/1.14 % Runner terminated.
% 1.89/1.15 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------