TSTP Solution File: SYN834-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYN834-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.4MqaiSVUac true
% Computer : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 1 04:05:40 EDT 2023
% Result : Unsatisfiable 7.94s 1.73s
% Output : Refutation 7.94s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SYN834-1 : TPTP v8.1.2. Released v2.5.0.
% 0.14/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.4MqaiSVUac true
% 0.14/0.35 % Computer : n004.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sat Aug 26 20:36:08 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.36 % Number of cores: 8
% 0.21/0.36 % Python version: Python 3.6.8
% 0.21/0.36 % Running in FO mode
% 0.22/0.66 % Total configuration time : 435
% 0.22/0.66 % Estimated wc time : 1092
% 0.22/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.22/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 7.94/1.73 % Solved by fo/fo7.sh.
% 7.94/1.73 % done 633 iterations in 0.892s
% 7.94/1.73 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 7.94/1.73 % SZS output start Refutation
% 7.94/1.73 thf(ssPv16_9r1r1r1r1r1r1r1r1r1_type, type, ssPv16_9r1r1r1r1r1r1r1r1r1:
% 7.94/1.73 $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 7.94/1.73 thf(ssNder1_5r1r1r1r1r1_type, type, ssNder1_5r1r1r1r1r1: $i > $i > $i > $i >
% 7.94/1.73 $i > $o).
% 7.94/1.73 thf(ssPv8_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssPv8_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 7.94/1.73 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i >
% 7.94/1.73 $i > $i > $o).
% 7.94/1.73 thf(ssPv12_9r1r1r1r1r1r1r1r1r1_type, type, ssPv12_9r1r1r1r1r1r1r1r1r1:
% 7.94/1.73 $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 7.94/1.73 thf(ssNder1_1r1_type, type, ssNder1_1r1: $i > $o).
% 7.94/1.73 thf(ssNder1_4r1r1r1r1_type, type, ssNder1_4r1r1r1r1: $i > $i > $i > $i > $o).
% 7.94/1.73 thf(ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 7.94/1.73 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 7.94/1.73 thf(ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 7.94/1.73 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 7.94/1.73 thf(ssPv12_11r1r1r1r1r1r1r1r1r1r1r1_type, type, ssPv12_11r1r1r1r1r1r1r1r1r1r1r1:
% 7.94/1.73 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 7.94/1.73 thf(ssPv10_11r1r1r1r1r1r1r1r1r1r1r1_type, type, ssPv10_11r1r1r1r1r1r1r1r1r1r1r1:
% 7.94/1.73 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 7.94/1.73 thf(ssPv15_6r1r1r1r1r1r1_type, type, ssPv15_6r1r1r1r1r1r1: $i > $i > $i >
% 7.94/1.73 $i > $i > $i > $o).
% 7.94/1.73 thf(ssPv4_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssPv4_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 7.94/1.73 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i >
% 7.94/1.73 $i > $i > $o).
% 7.94/1.73 thf(ssPv16_5r1r1r1r1r1_type, type, ssPv16_5r1r1r1r1r1: $i > $i > $i > $i > $i > $o).
% 7.94/1.73 thf(ssPv20_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssPv20_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 7.94/1.73 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i >
% 7.94/1.73 $i > $i > $o).
% 7.94/1.73 thf(ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 7.94/1.73 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 7.94/1.73 thf(ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 7.94/1.73 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 7.94/1.73 thf(ssNder1_8r1r1r1r1r1r1r1r1_type, type, ssNder1_8r1r1r1r1r1r1r1r1:
% 7.94/1.73 $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 7.94/1.73 thf(ssPv14_9r1r1r1r1r1r1r1r1r1_type, type, ssPv14_9r1r1r1r1r1r1r1r1r1:
% 7.94/1.73 $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 7.94/1.73 thf(skc26_type, type, skc26: $i).
% 7.94/1.73 thf(ssPv12_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssPv12_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 7.94/1.73 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i >
% 7.94/1.73 $i > $i > $o).
% 7.94/1.73 thf(ssNder1_11r1r1r1r1r1r1r1r1r1r1r1_type, type, ssNder1_11r1r1r1r1r1r1r1r1r1r1r1:
% 7.94/1.73 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 7.94/1.73 thf(ssPv15_11r1r1r1r1r1r1r1r1r1r1r1_type, type, ssPv15_11r1r1r1r1r1r1r1r1r1r1r1:
% 7.94/1.73 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 7.94/1.73 thf(ssNder1_3r1r1r1_type, type, ssNder1_3r1r1r1: $i > $i > $i > $o).
% 7.94/1.73 thf(skc30_type, type, skc30: $i).
% 7.94/1.73 thf(ssPv15_9r1r1r1r1r1r1r1r1r1_type, type, ssPv15_9r1r1r1r1r1r1r1r1r1:
% 7.94/1.73 $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 7.94/1.73 thf(ssPv14_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssPv14_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 7.94/1.73 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i >
% 7.94/1.73 $i > $i > $o).
% 7.94/1.73 thf(skc16_type, type, skc16: $i).
% 7.94/1.73 thf(ssNder1_9r1r1r1r1r1r1r1r1r1_type, type, ssNder1_9r1r1r1r1r1r1r1r1r1:
% 7.94/1.73 $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 7.94/1.73 thf(skc23_type, type, skc23: $i).
% 7.94/1.73 thf(skc29_type, type, skc29: $i).
% 7.94/1.73 thf(ssPv10_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssPv10_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 7.94/1.73 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 7.94/1.73 thf(ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 7.94/1.73 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 7.94/1.73 thf(ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 7.94/1.73 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 7.94/1.73 thf(ssNder1_6r1r1r1r1r1r1_type, type, ssNder1_6r1r1r1r1r1r1: $i > $i > $i >
% 7.94/1.73 $i > $i > $i > $o).
% 7.94/1.73 thf(ssNder1_10r1r1r1r1r1r1r1r1r1r1_type, type, ssNder1_10r1r1r1r1r1r1r1r1r1r1:
% 7.94/1.73 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 7.94/1.73 thf(skc24_type, type, skc24: $i).
% 7.94/1.73 thf(ssNder1_0_type, type, ssNder1_0: $o).
% 7.94/1.73 thf(ssPv20_9r1r1r1r1r1r1r1r1r1_type, type, ssPv20_9r1r1r1r1r1r1r1r1r1:
% 7.94/1.73 $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 7.94/1.73 thf(skc21_type, type, skc21: $i).
% 7.94/1.73 thf(ssPv13_11r1r1r1r1r1r1r1r1r1r1r1_type, type, ssPv13_11r1r1r1r1r1r1r1r1r1r1r1:
% 7.94/1.73 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 7.94/1.73 thf(skc19_type, type, skc19: $i).
% 7.94/1.73 thf(skc27_type, type, skc27: $i).
% 7.94/1.73 thf(ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 7.94/1.73 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i >
% 7.94/1.73 $i > $i > $o).
% 7.94/1.73 thf(ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1:
% 7.94/1.73 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 7.94/1.73 thf(ssPv14_7r1r1r1r1r1r1r1_type, type, ssPv14_7r1r1r1r1r1r1r1: $i > $i >
% 7.94/1.73 $i > $i >
% 7.94/1.73 $i > $i > $i > $o).
% 7.94/1.73 thf(ssNder1_7r1r1r1r1r1r1r1_type, type, ssNder1_7r1r1r1r1r1r1r1: $i > $i >
% 7.94/1.73 $i > $i >
% 7.94/1.73 $i > $i > $i > $o).
% 7.94/1.73 thf(ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 7.94/1.73 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 7.94/1.73 thf(ssPv20_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssPv20_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 7.94/1.73 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 7.94/1.73 thf(ssPv20_1r1_type, type, ssPv20_1r1: $i > $o).
% 7.94/1.73 thf(ssNder1_2r1r1_type, type, ssNder1_2r1r1: $i > $i > $o).
% 7.94/1.73 thf(ssPv13_8r1r1r1r1r1r1r1r1_type, type, ssPv13_8r1r1r1r1r1r1r1r1: $i > $i >
% 7.94/1.73 $i > $i >
% 7.94/1.73 $i > $i >
% 7.94/1.73 $i > $i > $o).
% 7.94/1.73 thf(skc28_type, type, skc28: $i).
% 7.94/1.73 thf(ssPv13_9r1r1r1r1r1r1r1r1r1_type, type, ssPv13_9r1r1r1r1r1r1r1r1r1:
% 7.94/1.73 $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 7.94/1.73 thf(clause40, conjecture,
% 7.94/1.73 (~( ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 7.94/1.73 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 7.94/1.73 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 7.94/1.73 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 7.94/1.73 ( ~( ssPv15_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ skc29 ) ) ))).
% 7.94/1.73 thf(zf_stmt_0, negated_conjecture,
% 7.94/1.73 (( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 7.94/1.73 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 7.94/1.73 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 7.94/1.73 ( ~( ssPv15_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ skc29 ) )),
% 7.94/1.73 inference('cnf.neg', [status(esa)], [clause40])).
% 7.94/1.73 thf(zip_derived_cl496, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 7.94/1.73 (~ (ssNder1_0)
% 7.94/1.73 | ~ (ssNder1_1r1 @ X0)
% 7.94/1.73 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 7.94/1.73 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 7.94/1.73 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 7.94/1.73 | ~ (ssPv15_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ skc29))),
% 7.94/1.73 inference('cnf', [status(esa)], [zf_stmt_0])).
% 7.94/1.73 thf(clause1, conjecture, (~( ssNder1_0 ))).
% 7.94/1.73 thf(zf_stmt_1, negated_conjecture, (ssNder1_0),
% 7.94/1.73 inference('cnf.neg', [status(esa)], [clause1])).
% 7.94/1.73 thf(zip_derived_cl535, plain, ( (ssNder1_0)),
% 7.94/1.73 inference('cnf', [status(esa)], [zf_stmt_1])).
% 7.94/1.73 thf(zip_derived_cl539, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 7.94/1.73 (~ (ssNder1_1r1 @ X0)
% 7.94/1.73 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 7.94/1.73 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 7.94/1.73 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 7.94/1.73 | ~ (ssPv15_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ skc29))),
% 7.94/1.73 inference('demod', [status(thm)], [zip_derived_cl496, zip_derived_cl535])).
% 7.94/1.73 thf(clause2, conjecture, (~( ( ssNder1_1r1 @ U ) | ( ~( ssNder1_0 ) ) ))).
% 7.94/1.73 thf(zf_stmt_2, negated_conjecture,
% 7.94/1.73 (( ssNder1_1r1 @ U ) | ( ~( ssNder1_0 ) )),
% 7.94/1.73 inference('cnf.neg', [status(esa)], [clause2])).
% 7.94/1.73 thf(zip_derived_cl534, plain,
% 7.94/1.73 (![X0 : $i]: ( (ssNder1_1r1 @ X0) | ~ (ssNder1_0))),
% 7.94/1.73 inference('cnf', [status(esa)], [zf_stmt_2])).
% 7.94/1.73 thf(zip_derived_cl535, plain, ( (ssNder1_0)),
% 7.94/1.73 inference('cnf', [status(esa)], [zf_stmt_1])).
% 7.94/1.73 thf(zip_derived_cl541, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 7.94/1.73 inference('demod', [status(thm)], [zip_derived_cl534, zip_derived_cl535])).
% 7.94/1.73 thf(clause3, conjecture,
% 7.94/1.73 (~( ( ssNder1_2r1r1 @ U @ V ) | ( ~( ssNder1_0 ) ) |
% 7.94/1.73 ( ~( ssNder1_1r1 @ U ) ) ))).
% 7.94/1.73 thf(zf_stmt_3, negated_conjecture,
% 7.94/1.73 (( ssNder1_2r1r1 @ U @ V ) | ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) )),
% 7.94/1.73 inference('cnf.neg', [status(esa)], [clause3])).
% 7.94/1.73 thf(zip_derived_cl533, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i]:
% 7.94/1.73 ( (ssNder1_2r1r1 @ X0 @ X1) | ~ (ssNder1_0) | ~ (ssNder1_1r1 @ X0))),
% 7.94/1.73 inference('cnf', [status(esa)], [zf_stmt_3])).
% 7.94/1.73 thf(zip_derived_cl535, plain, ( (ssNder1_0)),
% 7.94/1.73 inference('cnf', [status(esa)], [zf_stmt_1])).
% 7.94/1.73 thf(zip_derived_cl541, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 7.94/1.73 inference('demod', [status(thm)], [zip_derived_cl534, zip_derived_cl535])).
% 7.94/1.73 thf(zip_derived_cl542, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl533, zip_derived_cl535, zip_derived_cl541])).
% 7.94/1.73 thf(clause11, conjecture,
% 7.94/1.73 (~( ( ssNder1_3r1r1r1 @ U @ V @ W ) | ( ~( ssNder1_0 ) ) |
% 7.94/1.73 ( ~( ssNder1_1r1 @ U ) ) | ( ~( ssNder1_2r1r1 @ U @ V ) ) ))).
% 7.94/1.73 thf(zf_stmt_4, negated_conjecture,
% 7.94/1.73 (( ssNder1_3r1r1r1 @ U @ V @ W ) | ( ~( ssNder1_0 ) ) |
% 7.94/1.73 ( ~( ssNder1_1r1 @ U ) ) | ( ~( ssNder1_2r1r1 @ U @ V ) )),
% 7.94/1.73 inference('cnf.neg', [status(esa)], [clause11])).
% 7.94/1.73 thf(zip_derived_cl525, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.94/1.73 ( (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 7.94/1.73 | ~ (ssNder1_0)
% 7.94/1.73 | ~ (ssNder1_1r1 @ X0)
% 7.94/1.73 | ~ (ssNder1_2r1r1 @ X0 @ X1))),
% 7.94/1.73 inference('cnf', [status(esa)], [zf_stmt_4])).
% 7.94/1.73 thf(zip_derived_cl535, plain, ( (ssNder1_0)),
% 7.94/1.73 inference('cnf', [status(esa)], [zf_stmt_1])).
% 7.94/1.73 thf(zip_derived_cl541, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 7.94/1.73 inference('demod', [status(thm)], [zip_derived_cl534, zip_derived_cl535])).
% 7.94/1.73 thf(zip_derived_cl542, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl533, zip_derived_cl535, zip_derived_cl541])).
% 7.94/1.73 thf(zip_derived_cl552, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl525, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542])).
% 7.94/1.73 thf(zip_derived_cl566, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 7.94/1.73 (~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 7.94/1.73 | ~ (ssPv15_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ skc29))),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl539, zip_derived_cl541, zip_derived_cl542,
% 7.94/1.73 zip_derived_cl552])).
% 7.94/1.73 thf(clause18, conjecture,
% 7.94/1.73 (~( ( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) | ( ~( ssNder1_0 ) ) |
% 7.94/1.73 ( ~( ssNder1_1r1 @ U ) ) | ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 7.94/1.73 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) ))).
% 7.94/1.73 thf(zf_stmt_5, negated_conjecture,
% 7.94/1.73 (( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) | ( ~( ssNder1_0 ) ) |
% 7.94/1.73 ( ~( ssNder1_1r1 @ U ) ) | ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 7.94/1.73 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) )),
% 7.94/1.73 inference('cnf.neg', [status(esa)], [clause18])).
% 7.94/1.73 thf(zip_derived_cl518, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.94/1.73 ( (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 7.94/1.73 | ~ (ssNder1_0)
% 7.94/1.73 | ~ (ssNder1_1r1 @ X0)
% 7.94/1.73 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 7.94/1.73 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2))),
% 7.94/1.73 inference('cnf', [status(esa)], [zf_stmt_5])).
% 7.94/1.73 thf(zip_derived_cl535, plain, ( (ssNder1_0)),
% 7.94/1.73 inference('cnf', [status(esa)], [zf_stmt_1])).
% 7.94/1.73 thf(zip_derived_cl541, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 7.94/1.73 inference('demod', [status(thm)], [zip_derived_cl534, zip_derived_cl535])).
% 7.94/1.73 thf(zip_derived_cl542, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl533, zip_derived_cl535, zip_derived_cl541])).
% 7.94/1.73 thf(zip_derived_cl552, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl525, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542])).
% 7.94/1.73 thf(zip_derived_cl572, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.94/1.73 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl518, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552])).
% 7.94/1.73 thf(zip_derived_cl573, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 7.94/1.73 ~ (ssPv15_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ skc29)),
% 7.94/1.73 inference('demod', [status(thm)], [zip_derived_cl566, zip_derived_cl572])).
% 7.94/1.73 thf(clause51, conjecture,
% 7.94/1.73 (~( ( ssPv14_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ skc26 ) |
% 7.94/1.73 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 7.94/1.73 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 7.94/1.73 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 7.94/1.73 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 7.94/1.73 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) ))).
% 7.94/1.73 thf(zf_stmt_6, negated_conjecture,
% 7.94/1.73 (( ssPv14_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ skc26 ) |
% 7.94/1.73 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 7.94/1.73 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 7.94/1.73 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 7.94/1.73 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) )),
% 7.94/1.73 inference('cnf.neg', [status(esa)], [clause51])).
% 7.94/1.73 thf(zip_derived_cl485, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 7.94/1.73 ( (ssPv14_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ skc26)
% 7.94/1.73 | ~ (ssNder1_0)
% 7.94/1.73 | ~ (ssNder1_1r1 @ X0)
% 7.94/1.73 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 7.94/1.73 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 7.94/1.73 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 7.94/1.73 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4))),
% 7.94/1.73 inference('cnf', [status(esa)], [zf_stmt_6])).
% 7.94/1.73 thf(zip_derived_cl535, plain, ( (ssNder1_0)),
% 7.94/1.73 inference('cnf', [status(esa)], [zf_stmt_1])).
% 7.94/1.73 thf(zip_derived_cl541, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 7.94/1.73 inference('demod', [status(thm)], [zip_derived_cl534, zip_derived_cl535])).
% 7.94/1.73 thf(zip_derived_cl542, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl533, zip_derived_cl535, zip_derived_cl541])).
% 7.94/1.73 thf(zip_derived_cl552, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl525, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542])).
% 7.94/1.73 thf(zip_derived_cl572, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.94/1.73 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl518, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552])).
% 7.94/1.73 thf(clause33, conjecture,
% 7.94/1.73 (~( ( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) | ( ~( ssNder1_0 ) ) |
% 7.94/1.73 ( ~( ssNder1_1r1 @ U ) ) | ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 7.94/1.73 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 7.94/1.73 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) ))).
% 7.94/1.73 thf(zf_stmt_7, negated_conjecture,
% 7.94/1.73 (( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) | ( ~( ssNder1_0 ) ) |
% 7.94/1.73 ( ~( ssNder1_1r1 @ U ) ) | ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 7.94/1.73 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 7.94/1.73 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) )),
% 7.94/1.73 inference('cnf.neg', [status(esa)], [clause33])).
% 7.94/1.73 thf(zip_derived_cl503, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 7.94/1.73 ( (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 7.94/1.73 | ~ (ssNder1_0)
% 7.94/1.73 | ~ (ssNder1_1r1 @ X0)
% 7.94/1.73 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 7.94/1.73 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 7.94/1.73 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3))),
% 7.94/1.73 inference('cnf', [status(esa)], [zf_stmt_7])).
% 7.94/1.73 thf(zip_derived_cl535, plain, ( (ssNder1_0)),
% 7.94/1.73 inference('cnf', [status(esa)], [zf_stmt_1])).
% 7.94/1.73 thf(zip_derived_cl541, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 7.94/1.73 inference('demod', [status(thm)], [zip_derived_cl534, zip_derived_cl535])).
% 7.94/1.73 thf(zip_derived_cl542, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl533, zip_derived_cl535, zip_derived_cl541])).
% 7.94/1.73 thf(zip_derived_cl552, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl525, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542])).
% 7.94/1.73 thf(zip_derived_cl572, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.94/1.73 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl518, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552])).
% 7.94/1.73 thf(zip_derived_cl596, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 7.94/1.73 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl503, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572])).
% 7.94/1.73 thf(zip_derived_cl618, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 7.94/1.73 (ssPv14_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ skc26)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl485, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.73 zip_derived_cl596])).
% 7.94/1.73 thf(clause66, conjecture,
% 7.94/1.73 (~( ( ssPv13_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ skc24 ) |
% 7.94/1.73 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 7.94/1.73 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 7.94/1.73 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 7.94/1.73 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 7.94/1.73 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 7.94/1.73 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) ))).
% 7.94/1.73 thf(zf_stmt_8, negated_conjecture,
% 7.94/1.73 (( ssPv13_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ skc24 ) |
% 7.94/1.73 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 7.94/1.73 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 7.94/1.73 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 7.94/1.73 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 7.94/1.73 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) )),
% 7.94/1.73 inference('cnf.neg', [status(esa)], [clause66])).
% 7.94/1.73 thf(zip_derived_cl470, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 7.94/1.73 ( (ssPv13_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ skc24)
% 7.94/1.73 | ~ (ssNder1_0)
% 7.94/1.73 | ~ (ssNder1_1r1 @ X0)
% 7.94/1.73 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 7.94/1.73 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 7.94/1.73 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 7.94/1.73 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 7.94/1.73 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5))),
% 7.94/1.73 inference('cnf', [status(esa)], [zf_stmt_8])).
% 7.94/1.73 thf(zip_derived_cl535, plain, ( (ssNder1_0)),
% 7.94/1.73 inference('cnf', [status(esa)], [zf_stmt_1])).
% 7.94/1.73 thf(zip_derived_cl541, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 7.94/1.73 inference('demod', [status(thm)], [zip_derived_cl534, zip_derived_cl535])).
% 7.94/1.73 thf(zip_derived_cl542, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl533, zip_derived_cl535, zip_derived_cl541])).
% 7.94/1.73 thf(zip_derived_cl552, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl525, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542])).
% 7.94/1.73 thf(zip_derived_cl572, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.94/1.73 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl518, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552])).
% 7.94/1.73 thf(zip_derived_cl596, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 7.94/1.73 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl503, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572])).
% 7.94/1.73 thf(clause50, conjecture,
% 7.94/1.73 (~( ( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) |
% 7.94/1.73 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 7.94/1.73 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 7.94/1.73 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 7.94/1.73 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 7.94/1.73 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) ))).
% 7.94/1.73 thf(zf_stmt_9, negated_conjecture,
% 7.94/1.73 (( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) | ( ~( ssNder1_0 ) ) |
% 7.94/1.73 ( ~( ssNder1_1r1 @ U ) ) | ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 7.94/1.73 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 7.94/1.73 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 7.94/1.73 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) )),
% 7.94/1.73 inference('cnf.neg', [status(esa)], [clause50])).
% 7.94/1.73 thf(zip_derived_cl486, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 7.94/1.73 ( (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 7.94/1.73 | ~ (ssNder1_0)
% 7.94/1.73 | ~ (ssNder1_1r1 @ X0)
% 7.94/1.73 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 7.94/1.73 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 7.94/1.73 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 7.94/1.73 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4))),
% 7.94/1.73 inference('cnf', [status(esa)], [zf_stmt_9])).
% 7.94/1.73 thf(zip_derived_cl535, plain, ( (ssNder1_0)),
% 7.94/1.73 inference('cnf', [status(esa)], [zf_stmt_1])).
% 7.94/1.73 thf(zip_derived_cl541, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 7.94/1.73 inference('demod', [status(thm)], [zip_derived_cl534, zip_derived_cl535])).
% 7.94/1.73 thf(zip_derived_cl542, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl533, zip_derived_cl535, zip_derived_cl541])).
% 7.94/1.73 thf(zip_derived_cl552, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl525, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542])).
% 7.94/1.73 thf(zip_derived_cl572, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.94/1.73 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl518, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552])).
% 7.94/1.73 thf(zip_derived_cl596, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 7.94/1.73 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl503, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572])).
% 7.94/1.73 thf(zip_derived_cl619, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 7.94/1.73 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl486, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.73 zip_derived_cl596])).
% 7.94/1.73 thf(zip_derived_cl648, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 7.94/1.73 (ssPv13_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ skc24)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl470, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.73 zip_derived_cl596, zip_derived_cl619])).
% 7.94/1.73 thf(clause340, conjecture,
% 7.94/1.73 (~( ( ssPv14_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.73 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 7.94/1.73 X10 ) |
% 7.94/1.73 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 7.94/1.73 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 7.94/1.73 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 7.94/1.73 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 7.94/1.73 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 7.94/1.73 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 7.94/1.73 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 7.94/1.73 ( ~( ssPv14_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 7.94/1.73 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 7.94/1.73 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 7.94/1.73 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.73 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 7.94/1.73 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.73 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 7.94/1.73 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.73 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 7.94/1.73 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.73 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 7.94/1.73 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.73 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 7.94/1.73 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.73 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) ))).
% 7.94/1.73 thf(zf_stmt_10, negated_conjecture,
% 7.94/1.73 (( ssPv14_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.73 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 ) |
% 7.94/1.73 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 7.94/1.73 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 7.94/1.73 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 7.94/1.73 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 7.94/1.73 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 7.94/1.73 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 7.94/1.73 ( ~( ssPv14_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 7.94/1.73 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 7.94/1.73 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 7.94/1.73 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.73 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 7.94/1.73 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.73 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 7.94/1.73 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.73 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 7.94/1.73 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.73 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 7.94/1.73 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.73 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 7.94/1.73 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.73 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) )),
% 7.94/1.73 inference('cnf.neg', [status(esa)], [clause340])).
% 7.94/1.73 thf(zip_derived_cl196, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 7.94/1.73 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 7.94/1.73 X14 : $i, X15 : $i]:
% 7.94/1.73 ( (ssPv14_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 7.94/1.73 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15)
% 7.94/1.73 | ~ (ssNder1_0)
% 7.94/1.73 | ~ (ssNder1_1r1 @ X0)
% 7.94/1.73 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 7.94/1.73 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 7.94/1.73 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 7.94/1.73 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 7.94/1.73 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 7.94/1.73 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 7.94/1.73 | ~ (ssPv14_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 7.94/1.73 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 7.94/1.73 X7)
% 7.94/1.73 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 7.94/1.73 X6 @ X7 @ X8)
% 7.94/1.73 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 7.94/1.73 X6 @ X7 @ X8 @ X9)
% 7.94/1.73 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 7.94/1.73 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 7.94/1.73 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 7.94/1.73 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 7.94/1.73 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 7.94/1.73 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 7.94/1.73 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 7.94/1.73 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 7.94/1.73 | ~ (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 7.94/1.73 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14))),
% 7.94/1.73 inference('cnf', [status(esa)], [zf_stmt_10])).
% 7.94/1.73 thf(zip_derived_cl535, plain, ( (ssNder1_0)),
% 7.94/1.73 inference('cnf', [status(esa)], [zf_stmt_1])).
% 7.94/1.73 thf(zip_derived_cl541, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 7.94/1.73 inference('demod', [status(thm)], [zip_derived_cl534, zip_derived_cl535])).
% 7.94/1.73 thf(zip_derived_cl542, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl533, zip_derived_cl535, zip_derived_cl541])).
% 7.94/1.73 thf(zip_derived_cl552, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl525, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542])).
% 7.94/1.73 thf(zip_derived_cl572, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.94/1.73 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl518, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552])).
% 7.94/1.73 thf(zip_derived_cl596, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 7.94/1.73 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl503, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572])).
% 7.94/1.73 thf(zip_derived_cl619, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 7.94/1.73 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl486, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.73 zip_derived_cl596])).
% 7.94/1.73 thf(clause65, conjecture,
% 7.94/1.73 (~( ( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) |
% 7.94/1.73 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 7.94/1.73 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 7.94/1.73 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 7.94/1.73 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 7.94/1.73 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 7.94/1.73 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) ))).
% 7.94/1.73 thf(zf_stmt_11, negated_conjecture,
% 7.94/1.73 (( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) |
% 7.94/1.73 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 7.94/1.73 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 7.94/1.73 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 7.94/1.73 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 7.94/1.73 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) )),
% 7.94/1.73 inference('cnf.neg', [status(esa)], [clause65])).
% 7.94/1.73 thf(zip_derived_cl471, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 7.94/1.73 ( (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 7.94/1.73 | ~ (ssNder1_0)
% 7.94/1.73 | ~ (ssNder1_1r1 @ X0)
% 7.94/1.73 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 7.94/1.73 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 7.94/1.73 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 7.94/1.73 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 7.94/1.73 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5))),
% 7.94/1.73 inference('cnf', [status(esa)], [zf_stmt_11])).
% 7.94/1.73 thf(zip_derived_cl535, plain, ( (ssNder1_0)),
% 7.94/1.73 inference('cnf', [status(esa)], [zf_stmt_1])).
% 7.94/1.73 thf(zip_derived_cl541, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 7.94/1.73 inference('demod', [status(thm)], [zip_derived_cl534, zip_derived_cl535])).
% 7.94/1.73 thf(zip_derived_cl542, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl533, zip_derived_cl535, zip_derived_cl541])).
% 7.94/1.73 thf(zip_derived_cl552, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl525, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542])).
% 7.94/1.73 thf(zip_derived_cl572, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.94/1.73 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl518, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552])).
% 7.94/1.73 thf(zip_derived_cl596, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 7.94/1.73 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl503, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572])).
% 7.94/1.73 thf(zip_derived_cl619, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 7.94/1.73 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl486, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.73 zip_derived_cl596])).
% 7.94/1.73 thf(zip_derived_cl644, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 7.94/1.73 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl471, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.73 zip_derived_cl596, zip_derived_cl619])).
% 7.94/1.73 thf(clause87, conjecture,
% 7.94/1.73 (~( ( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) |
% 7.94/1.73 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 7.94/1.73 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 7.94/1.73 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 7.94/1.73 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 7.94/1.73 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 7.94/1.73 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 7.94/1.73 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) ))).
% 7.94/1.73 thf(zf_stmt_12, negated_conjecture,
% 7.94/1.73 (( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) |
% 7.94/1.73 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 7.94/1.73 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 7.94/1.73 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 7.94/1.73 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 7.94/1.73 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 7.94/1.73 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) )),
% 7.94/1.73 inference('cnf.neg', [status(esa)], [clause87])).
% 7.94/1.73 thf(zip_derived_cl449, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 7.94/1.73 ( (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)
% 7.94/1.73 | ~ (ssNder1_0)
% 7.94/1.73 | ~ (ssNder1_1r1 @ X0)
% 7.94/1.73 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 7.94/1.73 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 7.94/1.73 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 7.94/1.73 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 7.94/1.73 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 7.94/1.73 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6))),
% 7.94/1.73 inference('cnf', [status(esa)], [zf_stmt_12])).
% 7.94/1.73 thf(zip_derived_cl535, plain, ( (ssNder1_0)),
% 7.94/1.73 inference('cnf', [status(esa)], [zf_stmt_1])).
% 7.94/1.73 thf(zip_derived_cl541, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 7.94/1.73 inference('demod', [status(thm)], [zip_derived_cl534, zip_derived_cl535])).
% 7.94/1.73 thf(zip_derived_cl542, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl533, zip_derived_cl535, zip_derived_cl541])).
% 7.94/1.73 thf(zip_derived_cl552, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl525, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542])).
% 7.94/1.73 thf(zip_derived_cl572, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.94/1.73 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl518, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552])).
% 7.94/1.73 thf(zip_derived_cl596, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 7.94/1.73 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl503, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572])).
% 7.94/1.73 thf(zip_derived_cl619, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 7.94/1.73 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl486, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.73 zip_derived_cl596])).
% 7.94/1.73 thf(zip_derived_cl644, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 7.94/1.73 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl471, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.73 zip_derived_cl596, zip_derived_cl619])).
% 7.94/1.73 thf(zip_derived_cl675, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 7.94/1.73 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl449, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.73 zip_derived_cl596, zip_derived_cl619, zip_derived_cl644])).
% 7.94/1.73 thf(clause111, conjecture,
% 7.94/1.73 (~( ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) |
% 7.94/1.73 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 7.94/1.73 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 7.94/1.73 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 7.94/1.73 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 7.94/1.73 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 7.94/1.73 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 7.94/1.73 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 7.94/1.73 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) ))).
% 7.94/1.73 thf(zf_stmt_13, negated_conjecture,
% 7.94/1.73 (( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) |
% 7.94/1.73 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 7.94/1.73 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 7.94/1.73 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 7.94/1.73 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 7.94/1.73 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 7.94/1.73 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 7.94/1.73 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) )),
% 7.94/1.73 inference('cnf.neg', [status(esa)], [clause111])).
% 7.94/1.73 thf(zip_derived_cl425, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 7.94/1.73 X7 : $i, X8 : $i]:
% 7.94/1.73 ( (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 7.94/1.73 X7 @ X8)
% 7.94/1.73 | ~ (ssNder1_0)
% 7.94/1.73 | ~ (ssNder1_1r1 @ X0)
% 7.94/1.73 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 7.94/1.73 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 7.94/1.73 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 7.94/1.73 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 7.94/1.73 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 7.94/1.73 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 7.94/1.73 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 7.94/1.73 X7))),
% 7.94/1.73 inference('cnf', [status(esa)], [zf_stmt_13])).
% 7.94/1.73 thf(zip_derived_cl535, plain, ( (ssNder1_0)),
% 7.94/1.73 inference('cnf', [status(esa)], [zf_stmt_1])).
% 7.94/1.73 thf(zip_derived_cl541, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 7.94/1.73 inference('demod', [status(thm)], [zip_derived_cl534, zip_derived_cl535])).
% 7.94/1.73 thf(zip_derived_cl542, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl533, zip_derived_cl535, zip_derived_cl541])).
% 7.94/1.73 thf(zip_derived_cl552, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl525, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542])).
% 7.94/1.73 thf(zip_derived_cl572, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.94/1.73 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl518, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552])).
% 7.94/1.73 thf(zip_derived_cl596, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 7.94/1.73 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl503, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572])).
% 7.94/1.73 thf(zip_derived_cl619, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 7.94/1.73 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl486, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.73 zip_derived_cl596])).
% 7.94/1.73 thf(zip_derived_cl644, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 7.94/1.73 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl471, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.73 zip_derived_cl596, zip_derived_cl619])).
% 7.94/1.73 thf(zip_derived_cl675, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 7.94/1.73 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl449, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.73 zip_derived_cl596, zip_derived_cl619, zip_derived_cl644])).
% 7.94/1.73 thf(zip_derived_cl719, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 7.94/1.73 X7 : $i, X8 : $i]:
% 7.94/1.73 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 7.94/1.73 X7 @ X8)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl425, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.73 zip_derived_cl596, zip_derived_cl619, zip_derived_cl644,
% 7.94/1.73 zip_derived_cl675])).
% 7.94/1.73 thf(clause139, conjecture,
% 7.94/1.73 (~( ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.73 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) |
% 7.94/1.73 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 7.94/1.73 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 7.94/1.73 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 7.94/1.73 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 7.94/1.73 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 7.94/1.73 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 7.94/1.73 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 7.94/1.73 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 7.94/1.73 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) ))).
% 7.94/1.73 thf(zf_stmt_14, negated_conjecture,
% 7.94/1.73 (( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.73 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) |
% 7.94/1.73 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 7.94/1.73 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 7.94/1.73 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 7.94/1.73 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 7.94/1.73 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 7.94/1.73 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 7.94/1.73 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 7.94/1.73 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) )),
% 7.94/1.73 inference('cnf.neg', [status(esa)], [clause139])).
% 7.94/1.73 thf(zip_derived_cl397, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 7.94/1.73 X7 : $i, X8 : $i, X9 : $i]:
% 7.94/1.73 ( (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 7.94/1.73 X6 @ X7 @ X8 @ X9)
% 7.94/1.73 | ~ (ssNder1_0)
% 7.94/1.73 | ~ (ssNder1_1r1 @ X0)
% 7.94/1.73 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 7.94/1.73 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 7.94/1.73 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 7.94/1.73 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 7.94/1.73 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 7.94/1.73 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 7.94/1.73 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 7.94/1.73 X7)
% 7.94/1.73 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 7.94/1.73 X6 @ X7 @ X8))),
% 7.94/1.73 inference('cnf', [status(esa)], [zf_stmt_14])).
% 7.94/1.73 thf(zip_derived_cl535, plain, ( (ssNder1_0)),
% 7.94/1.73 inference('cnf', [status(esa)], [zf_stmt_1])).
% 7.94/1.73 thf(zip_derived_cl541, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 7.94/1.73 inference('demod', [status(thm)], [zip_derived_cl534, zip_derived_cl535])).
% 7.94/1.73 thf(zip_derived_cl542, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl533, zip_derived_cl535, zip_derived_cl541])).
% 7.94/1.73 thf(zip_derived_cl552, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl525, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542])).
% 7.94/1.73 thf(zip_derived_cl572, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.94/1.73 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl518, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552])).
% 7.94/1.73 thf(zip_derived_cl596, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 7.94/1.73 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl503, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572])).
% 7.94/1.73 thf(zip_derived_cl619, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 7.94/1.73 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl486, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.73 zip_derived_cl596])).
% 7.94/1.73 thf(zip_derived_cl644, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 7.94/1.73 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl471, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.73 zip_derived_cl596, zip_derived_cl619])).
% 7.94/1.73 thf(zip_derived_cl675, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 7.94/1.73 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl449, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.73 zip_derived_cl596, zip_derived_cl619, zip_derived_cl644])).
% 7.94/1.73 thf(zip_derived_cl719, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 7.94/1.73 X7 : $i, X8 : $i]:
% 7.94/1.73 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 7.94/1.73 X7 @ X8)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl425, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.73 zip_derived_cl596, zip_derived_cl619, zip_derived_cl644,
% 7.94/1.73 zip_derived_cl675])).
% 7.94/1.73 thf(zip_derived_cl776, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 7.94/1.73 X7 : $i, X8 : $i, X9 : $i]:
% 7.94/1.73 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 7.94/1.73 X7 @ X8 @ X9)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl397, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.73 zip_derived_cl596, zip_derived_cl619, zip_derived_cl644,
% 7.94/1.73 zip_derived_cl675, zip_derived_cl719])).
% 7.94/1.73 thf(clause166, conjecture,
% 7.94/1.73 (~( ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.73 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) |
% 7.94/1.73 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 7.94/1.73 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 7.94/1.73 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 7.94/1.73 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 7.94/1.73 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 7.94/1.73 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 7.94/1.73 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 7.94/1.73 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 7.94/1.73 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 7.94/1.73 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.73 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) ))).
% 7.94/1.73 thf(zf_stmt_15, negated_conjecture,
% 7.94/1.73 (( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.73 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) |
% 7.94/1.73 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 7.94/1.73 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 7.94/1.73 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 7.94/1.73 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 7.94/1.73 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 7.94/1.73 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 7.94/1.73 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 7.94/1.73 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 7.94/1.73 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.73 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) )),
% 7.94/1.73 inference('cnf.neg', [status(esa)], [clause166])).
% 7.94/1.73 thf(zip_derived_cl370, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 7.94/1.73 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 7.94/1.73 ( (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 7.94/1.73 X6 @ X7 @ X8 @ X9 @ X10)
% 7.94/1.73 | ~ (ssNder1_0)
% 7.94/1.73 | ~ (ssNder1_1r1 @ X0)
% 7.94/1.73 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 7.94/1.73 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 7.94/1.73 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 7.94/1.73 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 7.94/1.73 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 7.94/1.73 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 7.94/1.73 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 7.94/1.73 X7)
% 7.94/1.73 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 7.94/1.73 X6 @ X7 @ X8)
% 7.94/1.73 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 7.94/1.73 X6 @ X7 @ X8 @ X9))),
% 7.94/1.73 inference('cnf', [status(esa)], [zf_stmt_15])).
% 7.94/1.73 thf(zip_derived_cl535, plain, ( (ssNder1_0)),
% 7.94/1.73 inference('cnf', [status(esa)], [zf_stmt_1])).
% 7.94/1.73 thf(zip_derived_cl541, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 7.94/1.73 inference('demod', [status(thm)], [zip_derived_cl534, zip_derived_cl535])).
% 7.94/1.73 thf(zip_derived_cl542, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl533, zip_derived_cl535, zip_derived_cl541])).
% 7.94/1.73 thf(zip_derived_cl552, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl525, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542])).
% 7.94/1.73 thf(zip_derived_cl572, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.94/1.73 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl518, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552])).
% 7.94/1.73 thf(zip_derived_cl596, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 7.94/1.73 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl503, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572])).
% 7.94/1.73 thf(zip_derived_cl619, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 7.94/1.73 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl486, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.73 zip_derived_cl596])).
% 7.94/1.73 thf(zip_derived_cl644, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 7.94/1.73 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl471, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.73 zip_derived_cl596, zip_derived_cl619])).
% 7.94/1.73 thf(zip_derived_cl675, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 7.94/1.73 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl449, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.73 zip_derived_cl596, zip_derived_cl619, zip_derived_cl644])).
% 7.94/1.73 thf(zip_derived_cl719, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 7.94/1.73 X7 : $i, X8 : $i]:
% 7.94/1.73 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 7.94/1.73 X7 @ X8)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl425, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.73 zip_derived_cl596, zip_derived_cl619, zip_derived_cl644,
% 7.94/1.73 zip_derived_cl675])).
% 7.94/1.73 thf(zip_derived_cl776, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 7.94/1.73 X7 : $i, X8 : $i, X9 : $i]:
% 7.94/1.73 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 7.94/1.73 X7 @ X8 @ X9)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl397, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.73 zip_derived_cl596, zip_derived_cl619, zip_derived_cl644,
% 7.94/1.73 zip_derived_cl675, zip_derived_cl719])).
% 7.94/1.73 thf(zip_derived_cl822, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 7.94/1.73 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 7.94/1.73 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 7.94/1.73 X6 @ X7 @ X8 @ X9 @ X10)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl370, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.73 zip_derived_cl596, zip_derived_cl619, zip_derived_cl644,
% 7.94/1.73 zip_derived_cl675, zip_derived_cl719, zip_derived_cl776])).
% 7.94/1.73 thf(clause195, conjecture,
% 7.94/1.73 (~( ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.73 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) |
% 7.94/1.73 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 7.94/1.73 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 7.94/1.73 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 7.94/1.73 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 7.94/1.73 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 7.94/1.73 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 7.94/1.73 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 7.94/1.73 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 7.94/1.73 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 7.94/1.73 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.73 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 7.94/1.73 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.73 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) ))).
% 7.94/1.73 thf(zf_stmt_16, negated_conjecture,
% 7.94/1.73 (( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.73 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) |
% 7.94/1.73 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 7.94/1.73 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 7.94/1.73 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 7.94/1.73 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 7.94/1.73 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 7.94/1.73 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 7.94/1.73 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 7.94/1.73 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 7.94/1.73 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.73 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 7.94/1.73 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.73 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) )),
% 7.94/1.73 inference('cnf.neg', [status(esa)], [clause195])).
% 7.94/1.73 thf(zip_derived_cl341, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 7.94/1.73 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 7.94/1.73 ( (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 7.94/1.73 X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 7.94/1.73 | ~ (ssNder1_0)
% 7.94/1.73 | ~ (ssNder1_1r1 @ X0)
% 7.94/1.73 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 7.94/1.73 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 7.94/1.73 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 7.94/1.73 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 7.94/1.73 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 7.94/1.73 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 7.94/1.73 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 7.94/1.73 X7)
% 7.94/1.73 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 7.94/1.73 X6 @ X7 @ X8)
% 7.94/1.73 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 7.94/1.73 X6 @ X7 @ X8 @ X9)
% 7.94/1.73 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 7.94/1.73 X5 @ X6 @ X7 @ X8 @ X9 @ X10))),
% 7.94/1.73 inference('cnf', [status(esa)], [zf_stmt_16])).
% 7.94/1.73 thf(zip_derived_cl535, plain, ( (ssNder1_0)),
% 7.94/1.73 inference('cnf', [status(esa)], [zf_stmt_1])).
% 7.94/1.73 thf(zip_derived_cl541, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 7.94/1.73 inference('demod', [status(thm)], [zip_derived_cl534, zip_derived_cl535])).
% 7.94/1.73 thf(zip_derived_cl542, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl533, zip_derived_cl535, zip_derived_cl541])).
% 7.94/1.73 thf(zip_derived_cl552, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl525, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542])).
% 7.94/1.73 thf(zip_derived_cl572, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.94/1.73 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl518, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552])).
% 7.94/1.73 thf(zip_derived_cl596, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 7.94/1.73 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl503, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572])).
% 7.94/1.73 thf(zip_derived_cl619, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 7.94/1.73 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl486, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.73 zip_derived_cl596])).
% 7.94/1.73 thf(zip_derived_cl644, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 7.94/1.73 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl471, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.73 zip_derived_cl596, zip_derived_cl619])).
% 7.94/1.73 thf(zip_derived_cl675, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 7.94/1.73 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl449, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.73 zip_derived_cl596, zip_derived_cl619, zip_derived_cl644])).
% 7.94/1.73 thf(zip_derived_cl719, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 7.94/1.73 X7 : $i, X8 : $i]:
% 7.94/1.73 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 7.94/1.73 X7 @ X8)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl425, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.73 zip_derived_cl596, zip_derived_cl619, zip_derived_cl644,
% 7.94/1.73 zip_derived_cl675])).
% 7.94/1.73 thf(zip_derived_cl776, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 7.94/1.73 X7 : $i, X8 : $i, X9 : $i]:
% 7.94/1.73 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 7.94/1.73 X7 @ X8 @ X9)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl397, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.73 zip_derived_cl596, zip_derived_cl619, zip_derived_cl644,
% 7.94/1.73 zip_derived_cl675, zip_derived_cl719])).
% 7.94/1.73 thf(zip_derived_cl822, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 7.94/1.73 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 7.94/1.73 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 7.94/1.73 X6 @ X7 @ X8 @ X9 @ X10)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl370, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.73 zip_derived_cl596, zip_derived_cl619, zip_derived_cl644,
% 7.94/1.73 zip_derived_cl675, zip_derived_cl719, zip_derived_cl776])).
% 7.94/1.73 thf(zip_derived_cl941, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 7.94/1.73 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 7.94/1.73 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 7.94/1.73 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl341, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.73 zip_derived_cl596, zip_derived_cl619, zip_derived_cl644,
% 7.94/1.73 zip_derived_cl675, zip_derived_cl719, zip_derived_cl776,
% 7.94/1.73 zip_derived_cl822])).
% 7.94/1.73 thf(clause228, conjecture,
% 7.94/1.73 (~( ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.73 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) |
% 7.94/1.73 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 7.94/1.73 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 7.94/1.73 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 7.94/1.73 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 7.94/1.73 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 7.94/1.73 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 7.94/1.73 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 7.94/1.73 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 7.94/1.73 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 7.94/1.73 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.73 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 7.94/1.73 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.73 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 7.94/1.73 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.73 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) ))).
% 7.94/1.73 thf(zf_stmt_17, negated_conjecture,
% 7.94/1.73 (( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.73 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) |
% 7.94/1.73 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 7.94/1.73 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 7.94/1.73 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 7.94/1.73 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 7.94/1.73 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 7.94/1.73 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 7.94/1.73 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 7.94/1.73 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 7.94/1.73 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.73 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 7.94/1.73 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.73 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 7.94/1.73 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.73 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) )),
% 7.94/1.73 inference('cnf.neg', [status(esa)], [clause228])).
% 7.94/1.73 thf(zip_derived_cl308, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 7.94/1.73 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 7.94/1.73 ( (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 7.94/1.73 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 7.94/1.73 | ~ (ssNder1_0)
% 7.94/1.73 | ~ (ssNder1_1r1 @ X0)
% 7.94/1.73 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 7.94/1.73 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 7.94/1.73 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 7.94/1.73 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 7.94/1.73 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 7.94/1.73 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 7.94/1.73 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 7.94/1.73 X7)
% 7.94/1.73 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 7.94/1.73 X6 @ X7 @ X8)
% 7.94/1.73 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 7.94/1.73 X6 @ X7 @ X8 @ X9)
% 7.94/1.73 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 7.94/1.73 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 7.94/1.73 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 7.94/1.73 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11))),
% 7.94/1.73 inference('cnf', [status(esa)], [zf_stmt_17])).
% 7.94/1.73 thf(zip_derived_cl535, plain, ( (ssNder1_0)),
% 7.94/1.73 inference('cnf', [status(esa)], [zf_stmt_1])).
% 7.94/1.73 thf(zip_derived_cl541, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 7.94/1.73 inference('demod', [status(thm)], [zip_derived_cl534, zip_derived_cl535])).
% 7.94/1.73 thf(zip_derived_cl542, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl533, zip_derived_cl535, zip_derived_cl541])).
% 7.94/1.73 thf(zip_derived_cl552, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl525, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542])).
% 7.94/1.73 thf(zip_derived_cl572, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.94/1.73 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl518, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552])).
% 7.94/1.73 thf(zip_derived_cl596, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 7.94/1.73 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl503, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572])).
% 7.94/1.73 thf(zip_derived_cl619, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 7.94/1.73 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl486, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.73 zip_derived_cl596])).
% 7.94/1.73 thf(zip_derived_cl644, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 7.94/1.73 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl471, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.73 zip_derived_cl596, zip_derived_cl619])).
% 7.94/1.73 thf(zip_derived_cl675, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 7.94/1.73 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl449, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.73 zip_derived_cl596, zip_derived_cl619, zip_derived_cl644])).
% 7.94/1.73 thf(zip_derived_cl719, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 7.94/1.73 X7 : $i, X8 : $i]:
% 7.94/1.73 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 7.94/1.73 X7 @ X8)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl425, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.73 zip_derived_cl596, zip_derived_cl619, zip_derived_cl644,
% 7.94/1.73 zip_derived_cl675])).
% 7.94/1.73 thf(zip_derived_cl776, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 7.94/1.73 X7 : $i, X8 : $i, X9 : $i]:
% 7.94/1.73 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 7.94/1.73 X7 @ X8 @ X9)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl397, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.73 zip_derived_cl596, zip_derived_cl619, zip_derived_cl644,
% 7.94/1.73 zip_derived_cl675, zip_derived_cl719])).
% 7.94/1.73 thf(zip_derived_cl822, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 7.94/1.73 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 7.94/1.73 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 7.94/1.73 X6 @ X7 @ X8 @ X9 @ X10)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl370, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.73 zip_derived_cl596, zip_derived_cl619, zip_derived_cl644,
% 7.94/1.73 zip_derived_cl675, zip_derived_cl719, zip_derived_cl776])).
% 7.94/1.73 thf(zip_derived_cl941, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 7.94/1.73 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 7.94/1.73 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 7.94/1.73 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl341, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.73 zip_derived_cl596, zip_derived_cl619, zip_derived_cl644,
% 7.94/1.73 zip_derived_cl675, zip_derived_cl719, zip_derived_cl776,
% 7.94/1.73 zip_derived_cl822])).
% 7.94/1.73 thf(zip_derived_cl986, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 7.94/1.73 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 7.94/1.73 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 7.94/1.73 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl308, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.73 zip_derived_cl596, zip_derived_cl619, zip_derived_cl644,
% 7.94/1.73 zip_derived_cl675, zip_derived_cl719, zip_derived_cl776,
% 7.94/1.73 zip_derived_cl822, zip_derived_cl941])).
% 7.94/1.73 thf(clause258, conjecture,
% 7.94/1.73 (~( ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.73 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) |
% 7.94/1.73 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 7.94/1.73 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 7.94/1.73 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 7.94/1.73 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 7.94/1.73 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 7.94/1.73 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 7.94/1.73 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 7.94/1.73 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 7.94/1.73 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 7.94/1.73 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.73 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 7.94/1.73 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.73 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 7.94/1.73 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.73 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 7.94/1.73 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.73 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) ))).
% 7.94/1.73 thf(zf_stmt_18, negated_conjecture,
% 7.94/1.73 (( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.73 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) |
% 7.94/1.73 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 7.94/1.73 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 7.94/1.73 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 7.94/1.73 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 7.94/1.73 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 7.94/1.73 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 7.94/1.73 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 7.94/1.73 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 7.94/1.73 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.73 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 7.94/1.73 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.73 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 7.94/1.73 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.73 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 7.94/1.73 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.73 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) )),
% 7.94/1.73 inference('cnf.neg', [status(esa)], [clause258])).
% 7.94/1.73 thf(zip_derived_cl278, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 7.94/1.73 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 7.94/1.73 ( (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 7.94/1.73 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 7.94/1.73 | ~ (ssNder1_0)
% 7.94/1.73 | ~ (ssNder1_1r1 @ X0)
% 7.94/1.73 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 7.94/1.73 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 7.94/1.73 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 7.94/1.73 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 7.94/1.73 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 7.94/1.73 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 7.94/1.73 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 7.94/1.73 X7)
% 7.94/1.73 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 7.94/1.73 X6 @ X7 @ X8)
% 7.94/1.73 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 7.94/1.73 X6 @ X7 @ X8 @ X9)
% 7.94/1.73 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 7.94/1.73 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 7.94/1.73 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 7.94/1.73 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 7.94/1.73 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 7.94/1.73 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12))),
% 7.94/1.73 inference('cnf', [status(esa)], [zf_stmt_18])).
% 7.94/1.73 thf(zip_derived_cl535, plain, ( (ssNder1_0)),
% 7.94/1.73 inference('cnf', [status(esa)], [zf_stmt_1])).
% 7.94/1.73 thf(zip_derived_cl541, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 7.94/1.73 inference('demod', [status(thm)], [zip_derived_cl534, zip_derived_cl535])).
% 7.94/1.73 thf(zip_derived_cl542, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl533, zip_derived_cl535, zip_derived_cl541])).
% 7.94/1.73 thf(zip_derived_cl552, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl525, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542])).
% 7.94/1.73 thf(zip_derived_cl572, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.94/1.73 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl518, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552])).
% 7.94/1.73 thf(zip_derived_cl596, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 7.94/1.73 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl503, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572])).
% 7.94/1.73 thf(zip_derived_cl619, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 7.94/1.73 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl486, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.73 zip_derived_cl596])).
% 7.94/1.73 thf(zip_derived_cl644, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 7.94/1.73 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl471, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.73 zip_derived_cl596, zip_derived_cl619])).
% 7.94/1.73 thf(zip_derived_cl675, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 7.94/1.73 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl449, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.73 zip_derived_cl596, zip_derived_cl619, zip_derived_cl644])).
% 7.94/1.73 thf(zip_derived_cl719, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 7.94/1.73 X7 : $i, X8 : $i]:
% 7.94/1.73 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 7.94/1.73 X7 @ X8)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl425, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.73 zip_derived_cl596, zip_derived_cl619, zip_derived_cl644,
% 7.94/1.73 zip_derived_cl675])).
% 7.94/1.73 thf(zip_derived_cl776, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 7.94/1.73 X7 : $i, X8 : $i, X9 : $i]:
% 7.94/1.73 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 7.94/1.73 X7 @ X8 @ X9)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl397, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.73 zip_derived_cl596, zip_derived_cl619, zip_derived_cl644,
% 7.94/1.73 zip_derived_cl675, zip_derived_cl719])).
% 7.94/1.73 thf(zip_derived_cl822, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 7.94/1.73 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 7.94/1.73 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 7.94/1.73 X6 @ X7 @ X8 @ X9 @ X10)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl370, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.73 zip_derived_cl596, zip_derived_cl619, zip_derived_cl644,
% 7.94/1.73 zip_derived_cl675, zip_derived_cl719, zip_derived_cl776])).
% 7.94/1.73 thf(zip_derived_cl941, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 7.94/1.73 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 7.94/1.73 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 7.94/1.73 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl341, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.73 zip_derived_cl596, zip_derived_cl619, zip_derived_cl644,
% 7.94/1.73 zip_derived_cl675, zip_derived_cl719, zip_derived_cl776,
% 7.94/1.73 zip_derived_cl822])).
% 7.94/1.73 thf(zip_derived_cl986, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 7.94/1.73 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 7.94/1.73 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 7.94/1.73 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl308, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.73 zip_derived_cl596, zip_derived_cl619, zip_derived_cl644,
% 7.94/1.73 zip_derived_cl675, zip_derived_cl719, zip_derived_cl776,
% 7.94/1.73 zip_derived_cl822, zip_derived_cl941])).
% 7.94/1.73 thf(zip_derived_cl1027, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 7.94/1.73 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 7.94/1.73 (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 7.94/1.73 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl278, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.73 zip_derived_cl596, zip_derived_cl619, zip_derived_cl644,
% 7.94/1.73 zip_derived_cl675, zip_derived_cl719, zip_derived_cl776,
% 7.94/1.73 zip_derived_cl822, zip_derived_cl941, zip_derived_cl986])).
% 7.94/1.73 thf(clause289, conjecture,
% 7.94/1.73 (~( ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.73 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) |
% 7.94/1.73 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 7.94/1.73 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 7.94/1.73 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 7.94/1.73 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 7.94/1.73 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 7.94/1.73 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 7.94/1.73 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 7.94/1.73 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 7.94/1.73 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 7.94/1.73 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.73 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 7.94/1.73 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.73 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 7.94/1.73 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.73 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 7.94/1.73 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.73 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 7.94/1.73 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.73 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) ))).
% 7.94/1.73 thf(zf_stmt_19, negated_conjecture,
% 7.94/1.73 (( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.73 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) |
% 7.94/1.73 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 7.94/1.73 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 7.94/1.73 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 7.94/1.73 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 7.94/1.73 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 7.94/1.73 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 7.94/1.73 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 7.94/1.73 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 7.94/1.73 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.73 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 7.94/1.73 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.73 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 7.94/1.73 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.73 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 7.94/1.73 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.73 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 7.94/1.73 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.73 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) )),
% 7.94/1.73 inference('cnf.neg', [status(esa)], [clause289])).
% 7.94/1.73 thf(zip_derived_cl247, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 7.94/1.73 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 7.94/1.73 X14 : $i]:
% 7.94/1.73 ( (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 7.94/1.73 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 7.94/1.73 | ~ (ssNder1_0)
% 7.94/1.73 | ~ (ssNder1_1r1 @ X0)
% 7.94/1.73 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 7.94/1.73 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 7.94/1.73 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 7.94/1.73 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 7.94/1.73 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 7.94/1.73 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 7.94/1.73 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 7.94/1.73 X7)
% 7.94/1.73 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 7.94/1.73 X6 @ X7 @ X8)
% 7.94/1.73 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 7.94/1.73 X6 @ X7 @ X8 @ X9)
% 7.94/1.73 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 7.94/1.73 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 7.94/1.73 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 7.94/1.73 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 7.94/1.73 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 7.94/1.73 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 7.94/1.73 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 7.94/1.73 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13))),
% 7.94/1.73 inference('cnf', [status(esa)], [zf_stmt_19])).
% 7.94/1.73 thf(zip_derived_cl535, plain, ( (ssNder1_0)),
% 7.94/1.73 inference('cnf', [status(esa)], [zf_stmt_1])).
% 7.94/1.73 thf(zip_derived_cl541, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 7.94/1.73 inference('demod', [status(thm)], [zip_derived_cl534, zip_derived_cl535])).
% 7.94/1.73 thf(zip_derived_cl542, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl533, zip_derived_cl535, zip_derived_cl541])).
% 7.94/1.73 thf(zip_derived_cl552, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl525, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542])).
% 7.94/1.73 thf(zip_derived_cl572, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.94/1.73 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl518, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552])).
% 7.94/1.73 thf(zip_derived_cl596, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 7.94/1.73 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl503, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572])).
% 7.94/1.73 thf(zip_derived_cl619, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 7.94/1.73 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl486, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.73 zip_derived_cl596])).
% 7.94/1.73 thf(zip_derived_cl644, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 7.94/1.73 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl471, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.73 zip_derived_cl596, zip_derived_cl619])).
% 7.94/1.73 thf(zip_derived_cl675, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 7.94/1.73 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl449, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.73 zip_derived_cl596, zip_derived_cl619, zip_derived_cl644])).
% 7.94/1.73 thf(zip_derived_cl719, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 7.94/1.73 X7 : $i, X8 : $i]:
% 7.94/1.73 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 7.94/1.73 X7 @ X8)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl425, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.73 zip_derived_cl596, zip_derived_cl619, zip_derived_cl644,
% 7.94/1.73 zip_derived_cl675])).
% 7.94/1.73 thf(zip_derived_cl776, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 7.94/1.73 X7 : $i, X8 : $i, X9 : $i]:
% 7.94/1.73 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 7.94/1.73 X7 @ X8 @ X9)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl397, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.73 zip_derived_cl596, zip_derived_cl619, zip_derived_cl644,
% 7.94/1.73 zip_derived_cl675, zip_derived_cl719])).
% 7.94/1.73 thf(zip_derived_cl822, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 7.94/1.73 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 7.94/1.73 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 7.94/1.73 X6 @ X7 @ X8 @ X9 @ X10)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl370, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.73 zip_derived_cl596, zip_derived_cl619, zip_derived_cl644,
% 7.94/1.73 zip_derived_cl675, zip_derived_cl719, zip_derived_cl776])).
% 7.94/1.73 thf(zip_derived_cl941, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 7.94/1.73 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 7.94/1.73 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 7.94/1.73 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl341, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.73 zip_derived_cl596, zip_derived_cl619, zip_derived_cl644,
% 7.94/1.73 zip_derived_cl675, zip_derived_cl719, zip_derived_cl776,
% 7.94/1.73 zip_derived_cl822])).
% 7.94/1.73 thf(zip_derived_cl986, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 7.94/1.73 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 7.94/1.73 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 7.94/1.73 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl308, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.73 zip_derived_cl596, zip_derived_cl619, zip_derived_cl644,
% 7.94/1.73 zip_derived_cl675, zip_derived_cl719, zip_derived_cl776,
% 7.94/1.73 zip_derived_cl822, zip_derived_cl941])).
% 7.94/1.73 thf(zip_derived_cl1027, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 7.94/1.73 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 7.94/1.73 (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 7.94/1.73 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl278, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.73 zip_derived_cl596, zip_derived_cl619, zip_derived_cl644,
% 7.94/1.73 zip_derived_cl675, zip_derived_cl719, zip_derived_cl776,
% 7.94/1.73 zip_derived_cl822, zip_derived_cl941, zip_derived_cl986])).
% 7.94/1.73 thf(zip_derived_cl1074, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 7.94/1.73 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 7.94/1.73 X14 : $i]:
% 7.94/1.73 (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 7.94/1.73 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl247, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.73 zip_derived_cl596, zip_derived_cl619, zip_derived_cl644,
% 7.94/1.73 zip_derived_cl675, zip_derived_cl719, zip_derived_cl776,
% 7.94/1.73 zip_derived_cl822, zip_derived_cl941, zip_derived_cl986,
% 7.94/1.73 zip_derived_cl1027])).
% 7.94/1.73 thf(zip_derived_cl1148, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 7.94/1.73 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 7.94/1.73 X14 : $i, X15 : $i]:
% 7.94/1.73 ( (ssPv14_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 7.94/1.73 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15)
% 7.94/1.73 | ~ (ssPv14_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6))),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl196, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.73 zip_derived_cl596, zip_derived_cl619, zip_derived_cl644,
% 7.94/1.73 zip_derived_cl675, zip_derived_cl719, zip_derived_cl776,
% 7.94/1.73 zip_derived_cl822, zip_derived_cl941, zip_derived_cl986,
% 7.94/1.73 zip_derived_cl1027, zip_derived_cl1074])).
% 7.94/1.73 thf(clause425, conjecture,
% 7.94/1.73 (~( ( ssPv20_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.73 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 7.94/1.73 X10 ) |
% 7.94/1.73 ( ssPv4_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.73 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 7.94/1.73 X10 ) |
% 7.94/1.73 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 7.94/1.73 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 7.94/1.73 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 7.94/1.73 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 7.94/1.73 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 7.94/1.73 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 7.94/1.73 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 7.94/1.73 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 7.94/1.73 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 7.94/1.73 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.73 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 7.94/1.73 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.73 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 7.94/1.73 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.73 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 7.94/1.73 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.73 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 7.94/1.73 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.73 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 7.94/1.73 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.73 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 7.94/1.73 ( ~( ssPv14_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.73 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 7.94/1.73 X9 @ X10 ) ) |
% 7.94/1.73 ( ~( ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.73 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 7.94/1.73 X9 @ X10 ) ) ))).
% 7.94/1.73 thf(zf_stmt_20, negated_conjecture,
% 7.94/1.73 (( ssPv20_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.73 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 ) |
% 7.94/1.73 ( ssPv4_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.73 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 ) |
% 7.94/1.73 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 7.94/1.73 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 7.94/1.73 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 7.94/1.73 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 7.94/1.73 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 7.94/1.73 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 7.94/1.73 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 7.94/1.73 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 7.94/1.73 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.73 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 7.94/1.73 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.73 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 7.94/1.73 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.73 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 7.94/1.73 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.73 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 7.94/1.73 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.73 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 7.94/1.73 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.73 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 7.94/1.73 ( ~( ssPv14_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.73 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 7.94/1.73 X10 ) ) |
% 7.94/1.73 ( ~( ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.73 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 7.94/1.73 X10 ) )),
% 7.94/1.73 inference('cnf.neg', [status(esa)], [clause425])).
% 7.94/1.73 thf(zip_derived_cl111, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 7.94/1.73 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 7.94/1.73 X14 : $i, X15 : $i]:
% 7.94/1.73 ( (ssPv20_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 7.94/1.73 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15)
% 7.94/1.73 | (ssPv4_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 7.94/1.73 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15)
% 7.94/1.73 | ~ (ssNder1_0)
% 7.94/1.73 | ~ (ssNder1_1r1 @ X0)
% 7.94/1.73 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 7.94/1.73 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 7.94/1.73 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 7.94/1.73 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 7.94/1.73 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 7.94/1.73 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 7.94/1.73 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 7.94/1.73 X7)
% 7.94/1.73 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 7.94/1.73 X6 @ X7 @ X8)
% 7.94/1.73 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 7.94/1.73 X6 @ X7 @ X8 @ X9)
% 7.94/1.73 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 7.94/1.73 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 7.94/1.73 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 7.94/1.73 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 7.94/1.73 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 7.94/1.73 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 7.94/1.73 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 7.94/1.73 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 7.94/1.73 | ~ (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 7.94/1.73 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 7.94/1.73 | ~ (ssPv14_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 7.94/1.73 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15)
% 7.94/1.73 | ~ (ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 7.94/1.73 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15))),
% 7.94/1.73 inference('cnf', [status(esa)], [zf_stmt_20])).
% 7.94/1.73 thf(clause329, conjecture,
% 7.94/1.73 (~( ( ssPv20_1r1 @ U ) | ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 7.94/1.73 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 7.94/1.73 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 7.94/1.73 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 7.94/1.73 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 7.94/1.73 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 7.94/1.73 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 7.94/1.73 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 7.94/1.73 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 7.94/1.73 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.73 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 7.94/1.73 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.73 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 7.94/1.73 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.73 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 7.94/1.73 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.73 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 7.94/1.73 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.73 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 7.94/1.73 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.73 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 7.94/1.73 ( ~( ssPv20_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.73 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 7.94/1.73 X9 @ X10 ) ) ))).
% 7.94/1.73 thf(zf_stmt_21, negated_conjecture,
% 7.94/1.73 (( ssPv20_1r1 @ U ) | ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 7.94/1.73 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 7.94/1.73 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 7.94/1.73 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 7.94/1.73 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 7.94/1.73 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 7.94/1.73 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 7.94/1.73 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 7.94/1.73 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.73 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 7.94/1.73 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.73 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 7.94/1.73 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.73 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 7.94/1.73 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.73 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 7.94/1.73 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.73 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 7.94/1.73 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.73 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 7.94/1.73 ( ~( ssPv20_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.73 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 7.94/1.73 X10 ) )),
% 7.94/1.73 inference('cnf.neg', [status(esa)], [clause329])).
% 7.94/1.73 thf(zip_derived_cl207, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 7.94/1.73 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 7.94/1.73 X14 : $i, X15 : $i]:
% 7.94/1.73 ( (ssPv20_1r1 @ X0)
% 7.94/1.73 | ~ (ssNder1_0)
% 7.94/1.73 | ~ (ssNder1_1r1 @ X0)
% 7.94/1.73 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 7.94/1.73 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 7.94/1.73 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 7.94/1.73 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 7.94/1.73 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 7.94/1.73 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 7.94/1.73 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 7.94/1.73 X7)
% 7.94/1.73 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 7.94/1.73 X6 @ X7 @ X8)
% 7.94/1.73 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 7.94/1.73 X6 @ X7 @ X8 @ X9)
% 7.94/1.73 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 7.94/1.73 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 7.94/1.73 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 7.94/1.73 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 7.94/1.73 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 7.94/1.73 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 7.94/1.73 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 7.94/1.73 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 7.94/1.73 | ~ (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 7.94/1.73 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 7.94/1.73 | ~ (ssPv20_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 7.94/1.73 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15))),
% 7.94/1.73 inference('cnf', [status(esa)], [zf_stmt_21])).
% 7.94/1.73 thf(clause21, conjecture,
% 7.94/1.73 (~( ( ssPv16_5r1r1r1r1r1 @ U @ V @ W @ X @ skc30 ) | ( ~( ssNder1_0 ) ) |
% 7.94/1.73 ( ~( ssNder1_1r1 @ U ) ) | ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 7.94/1.73 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) ))).
% 7.94/1.73 thf(zf_stmt_22, negated_conjecture,
% 7.94/1.73 (( ssPv16_5r1r1r1r1r1 @ U @ V @ W @ X @ skc30 ) | ( ~( ssNder1_0 ) ) |
% 7.94/1.73 ( ~( ssNder1_1r1 @ U ) ) | ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 7.94/1.73 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) )),
% 7.94/1.73 inference('cnf.neg', [status(esa)], [clause21])).
% 7.94/1.73 thf(zip_derived_cl515, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.94/1.73 ( (ssPv16_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ skc30)
% 7.94/1.73 | ~ (ssNder1_0)
% 7.94/1.73 | ~ (ssNder1_1r1 @ X0)
% 7.94/1.73 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 7.94/1.73 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2))),
% 7.94/1.73 inference('cnf', [status(esa)], [zf_stmt_22])).
% 7.94/1.73 thf(zip_derived_cl535, plain, ( (ssNder1_0)),
% 7.94/1.73 inference('cnf', [status(esa)], [zf_stmt_1])).
% 7.94/1.73 thf(zip_derived_cl541, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 7.94/1.73 inference('demod', [status(thm)], [zip_derived_cl534, zip_derived_cl535])).
% 7.94/1.73 thf(zip_derived_cl542, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl533, zip_derived_cl535, zip_derived_cl541])).
% 7.94/1.73 thf(zip_derived_cl552, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl525, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542])).
% 7.94/1.73 thf(zip_derived_cl582, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.94/1.73 (ssPv16_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ skc30)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl515, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552])).
% 7.94/1.73 thf(clause38, conjecture,
% 7.94/1.73 (~( ( ssPv15_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ skc28 ) |
% 7.94/1.73 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 7.94/1.73 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 7.94/1.73 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 7.94/1.73 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) ))).
% 7.94/1.73 thf(zf_stmt_23, negated_conjecture,
% 7.94/1.73 (( ssPv15_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ skc28 ) |
% 7.94/1.73 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 7.94/1.73 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 7.94/1.73 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) )),
% 7.94/1.73 inference('cnf.neg', [status(esa)], [clause38])).
% 7.94/1.73 thf(zip_derived_cl498, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 7.94/1.73 ( (ssPv15_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ skc28)
% 7.94/1.73 | ~ (ssNder1_0)
% 7.94/1.73 | ~ (ssNder1_1r1 @ X0)
% 7.94/1.73 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 7.94/1.73 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 7.94/1.73 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3))),
% 7.94/1.73 inference('cnf', [status(esa)], [zf_stmt_23])).
% 7.94/1.73 thf(zip_derived_cl535, plain, ( (ssNder1_0)),
% 7.94/1.73 inference('cnf', [status(esa)], [zf_stmt_1])).
% 7.94/1.73 thf(zip_derived_cl541, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 7.94/1.73 inference('demod', [status(thm)], [zip_derived_cl534, zip_derived_cl535])).
% 7.94/1.73 thf(zip_derived_cl542, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl533, zip_derived_cl535, zip_derived_cl541])).
% 7.94/1.73 thf(zip_derived_cl552, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl525, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542])).
% 7.94/1.73 thf(zip_derived_cl572, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.94/1.73 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl518, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552])).
% 7.94/1.73 thf(zip_derived_cl606, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 7.94/1.73 (ssPv15_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ skc28)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl498, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572])).
% 7.94/1.73 thf(zip_derived_cl648, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 7.94/1.73 (ssPv13_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ skc24)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl470, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.73 zip_derived_cl596, zip_derived_cl619])).
% 7.94/1.73 thf(clause134, conjecture,
% 7.94/1.73 (~( ( ssPv15_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) |
% 7.94/1.73 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 7.94/1.73 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 7.94/1.73 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 7.94/1.73 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 7.94/1.73 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 7.94/1.73 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 7.94/1.73 ( ~( ssPv15_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 7.94/1.73 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 7.94/1.73 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) ))).
% 7.94/1.73 thf(zf_stmt_24, negated_conjecture,
% 7.94/1.73 (( ssPv15_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) |
% 7.94/1.73 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 7.94/1.73 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 7.94/1.73 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 7.94/1.73 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 7.94/1.73 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 7.94/1.73 ( ~( ssPv15_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 7.94/1.73 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 7.94/1.73 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) )),
% 7.94/1.73 inference('cnf.neg', [status(esa)], [clause134])).
% 7.94/1.73 thf(zip_derived_cl402, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 7.94/1.73 X7 : $i, X8 : $i]:
% 7.94/1.73 ( (ssPv15_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 7.94/1.73 X7 @ X8)
% 7.94/1.73 | ~ (ssNder1_0)
% 7.94/1.73 | ~ (ssNder1_1r1 @ X0)
% 7.94/1.73 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 7.94/1.73 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 7.94/1.73 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 7.94/1.73 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 7.94/1.73 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 7.94/1.73 | ~ (ssPv15_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 7.94/1.73 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 7.94/1.73 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 7.94/1.73 X7))),
% 7.94/1.73 inference('cnf', [status(esa)], [zf_stmt_24])).
% 7.94/1.73 thf(zip_derived_cl535, plain, ( (ssNder1_0)),
% 7.94/1.73 inference('cnf', [status(esa)], [zf_stmt_1])).
% 7.94/1.73 thf(zip_derived_cl541, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 7.94/1.73 inference('demod', [status(thm)], [zip_derived_cl534, zip_derived_cl535])).
% 7.94/1.73 thf(zip_derived_cl542, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl533, zip_derived_cl535, zip_derived_cl541])).
% 7.94/1.73 thf(zip_derived_cl552, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl525, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542])).
% 7.94/1.73 thf(zip_derived_cl572, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.94/1.73 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl518, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552])).
% 7.94/1.73 thf(zip_derived_cl596, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 7.94/1.73 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl503, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572])).
% 7.94/1.73 thf(zip_derived_cl619, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 7.94/1.73 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl486, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.73 zip_derived_cl596])).
% 7.94/1.73 thf(zip_derived_cl644, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 7.94/1.73 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl471, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.73 zip_derived_cl596, zip_derived_cl619])).
% 7.94/1.73 thf(zip_derived_cl675, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 7.94/1.73 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl449, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.73 zip_derived_cl596, zip_derived_cl619, zip_derived_cl644])).
% 7.94/1.73 thf(zip_derived_cl755, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 7.94/1.73 X7 : $i, X8 : $i]:
% 7.94/1.73 ( (ssPv15_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 7.94/1.73 X7 @ X8)
% 7.94/1.73 | ~ (ssPv15_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5))),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl402, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.73 zip_derived_cl596, zip_derived_cl619, zip_derived_cl644,
% 7.94/1.73 zip_derived_cl675])).
% 7.94/1.73 thf(clause132, conjecture,
% 7.94/1.73 (~( ( ssPv16_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) |
% 7.94/1.73 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 7.94/1.73 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 7.94/1.73 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 7.94/1.73 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 7.94/1.73 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 7.94/1.73 ( ~( ssPv16_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 7.94/1.73 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 7.94/1.73 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 7.94/1.73 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) ))).
% 7.94/1.73 thf(zf_stmt_25, negated_conjecture,
% 7.94/1.73 (( ssPv16_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) |
% 7.94/1.73 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 7.94/1.73 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 7.94/1.73 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 7.94/1.73 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 7.94/1.73 ( ~( ssPv16_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 7.94/1.73 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 7.94/1.73 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 7.94/1.73 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) )),
% 7.94/1.73 inference('cnf.neg', [status(esa)], [clause132])).
% 7.94/1.73 thf(zip_derived_cl404, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 7.94/1.73 X7 : $i, X8 : $i]:
% 7.94/1.73 ( (ssPv16_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 7.94/1.73 X7 @ X8)
% 7.94/1.73 | ~ (ssNder1_0)
% 7.94/1.73 | ~ (ssNder1_1r1 @ X0)
% 7.94/1.73 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 7.94/1.73 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 7.94/1.73 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 7.94/1.73 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 7.94/1.73 | ~ (ssPv16_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 7.94/1.73 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 7.94/1.73 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 7.94/1.73 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 7.94/1.73 X7))),
% 7.94/1.73 inference('cnf', [status(esa)], [zf_stmt_25])).
% 7.94/1.73 thf(zip_derived_cl535, plain, ( (ssNder1_0)),
% 7.94/1.73 inference('cnf', [status(esa)], [zf_stmt_1])).
% 7.94/1.73 thf(zip_derived_cl541, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 7.94/1.73 inference('demod', [status(thm)], [zip_derived_cl534, zip_derived_cl535])).
% 7.94/1.73 thf(zip_derived_cl542, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl533, zip_derived_cl535, zip_derived_cl541])).
% 7.94/1.73 thf(zip_derived_cl552, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl525, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542])).
% 7.94/1.73 thf(zip_derived_cl572, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.94/1.73 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl518, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552])).
% 7.94/1.73 thf(zip_derived_cl596, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 7.94/1.73 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl503, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572])).
% 7.94/1.73 thf(zip_derived_cl619, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 7.94/1.73 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl486, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.73 zip_derived_cl596])).
% 7.94/1.73 thf(zip_derived_cl644, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 7.94/1.73 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl471, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.73 zip_derived_cl596, zip_derived_cl619])).
% 7.94/1.73 thf(zip_derived_cl675, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 7.94/1.73 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl449, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.73 zip_derived_cl596, zip_derived_cl619, zip_derived_cl644])).
% 7.94/1.73 thf(zip_derived_cl752, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 7.94/1.73 X7 : $i, X8 : $i]:
% 7.94/1.73 ( (ssPv16_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 7.94/1.73 X7 @ X8)
% 7.94/1.73 | ~ (ssPv16_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4))),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl404, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.73 zip_derived_cl596, zip_derived_cl619, zip_derived_cl644,
% 7.94/1.73 zip_derived_cl675])).
% 7.94/1.73 thf(clause138, conjecture,
% 7.94/1.73 (~( ( ssPv13_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) |
% 7.94/1.73 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 7.94/1.73 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 7.94/1.73 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 7.94/1.73 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 7.94/1.73 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 7.94/1.73 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 7.94/1.73 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 7.94/1.73 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 7.94/1.73 ( ~( ssPv13_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) ))).
% 7.94/1.73 thf(zf_stmt_26, negated_conjecture,
% 7.94/1.73 (( ssPv13_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) |
% 7.94/1.73 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 7.94/1.73 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 7.94/1.73 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 7.94/1.73 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 7.94/1.73 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 7.94/1.73 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 7.94/1.73 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 7.94/1.73 ( ~( ssPv13_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) )),
% 7.94/1.73 inference('cnf.neg', [status(esa)], [clause138])).
% 7.94/1.73 thf(zip_derived_cl398, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 7.94/1.73 X7 : $i, X8 : $i]:
% 7.94/1.73 ( (ssPv13_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 7.94/1.73 X7 @ X8)
% 7.94/1.73 | ~ (ssNder1_0)
% 7.94/1.73 | ~ (ssNder1_1r1 @ X0)
% 7.94/1.73 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 7.94/1.73 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 7.94/1.73 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 7.94/1.73 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 7.94/1.73 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 7.94/1.73 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 7.94/1.73 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 7.94/1.73 X7)
% 7.94/1.73 | ~ (ssPv13_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7))),
% 7.94/1.73 inference('cnf', [status(esa)], [zf_stmt_26])).
% 7.94/1.73 thf(zip_derived_cl535, plain, ( (ssNder1_0)),
% 7.94/1.73 inference('cnf', [status(esa)], [zf_stmt_1])).
% 7.94/1.73 thf(zip_derived_cl541, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 7.94/1.73 inference('demod', [status(thm)], [zip_derived_cl534, zip_derived_cl535])).
% 7.94/1.73 thf(zip_derived_cl542, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl533, zip_derived_cl535, zip_derived_cl541])).
% 7.94/1.73 thf(zip_derived_cl552, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl525, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542])).
% 7.94/1.73 thf(zip_derived_cl572, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.94/1.73 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl518, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552])).
% 7.94/1.73 thf(zip_derived_cl596, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 7.94/1.73 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl503, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572])).
% 7.94/1.73 thf(zip_derived_cl619, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 7.94/1.73 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl486, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.73 zip_derived_cl596])).
% 7.94/1.73 thf(zip_derived_cl644, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 7.94/1.73 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl471, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.73 zip_derived_cl596, zip_derived_cl619])).
% 7.94/1.73 thf(zip_derived_cl675, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 7.94/1.73 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl449, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.73 zip_derived_cl596, zip_derived_cl619, zip_derived_cl644])).
% 7.94/1.73 thf(zip_derived_cl762, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 7.94/1.73 X7 : $i, X8 : $i]:
% 7.94/1.73 ( (ssPv13_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 7.94/1.73 X7 @ X8)
% 7.94/1.73 | ~ (ssPv13_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7))),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl398, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.73 zip_derived_cl596, zip_derived_cl619, zip_derived_cl644,
% 7.94/1.73 zip_derived_cl675])).
% 7.94/1.73 thf(clause182, conjecture,
% 7.94/1.73 (~( ( ssPv12_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) |
% 7.94/1.73 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 7.94/1.73 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 7.94/1.73 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 7.94/1.73 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 7.94/1.73 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 7.94/1.73 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 7.94/1.73 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 7.94/1.73 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 7.94/1.73 ( ~( ssPv20_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 7.94/1.73 ( ~( ssPv16_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 7.94/1.73 ( ~( ssPv15_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) ))).
% 7.94/1.73 thf(zf_stmt_27, negated_conjecture,
% 7.94/1.73 (( ssPv12_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) |
% 7.94/1.73 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 7.94/1.73 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 7.94/1.73 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 7.94/1.73 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 7.94/1.73 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 7.94/1.73 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 7.94/1.73 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 7.94/1.73 ( ~( ssPv20_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 7.94/1.73 ( ~( ssPv16_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 7.94/1.73 ( ~( ssPv15_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) )),
% 7.94/1.73 inference('cnf.neg', [status(esa)], [clause182])).
% 7.94/1.73 thf(zip_derived_cl354, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 7.94/1.73 X7 : $i, X8 : $i]:
% 7.94/1.73 ( (ssPv12_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 7.94/1.73 X7 @ X8)
% 7.94/1.73 | ~ (ssNder1_0)
% 7.94/1.73 | ~ (ssNder1_1r1 @ X0)
% 7.94/1.73 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 7.94/1.73 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 7.94/1.73 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 7.94/1.73 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 7.94/1.73 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 7.94/1.73 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 7.94/1.73 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 7.94/1.73 X7)
% 7.94/1.73 | ~ (ssPv20_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 7.94/1.73 X7 @ X8)
% 7.94/1.73 | ~ (ssPv16_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 7.94/1.73 X7 @ X8)
% 7.94/1.73 | ~ (ssPv15_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 7.94/1.73 X7 @ X8))),
% 7.94/1.73 inference('cnf', [status(esa)], [zf_stmt_27])).
% 7.94/1.73 thf(zip_derived_cl535, plain, ( (ssNder1_0)),
% 7.94/1.73 inference('cnf', [status(esa)], [zf_stmt_1])).
% 7.94/1.73 thf(zip_derived_cl541, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 7.94/1.73 inference('demod', [status(thm)], [zip_derived_cl534, zip_derived_cl535])).
% 7.94/1.73 thf(zip_derived_cl542, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl533, zip_derived_cl535, zip_derived_cl541])).
% 7.94/1.73 thf(zip_derived_cl552, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl525, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542])).
% 7.94/1.73 thf(zip_derived_cl572, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.94/1.73 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl518, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552])).
% 7.94/1.73 thf(zip_derived_cl596, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 7.94/1.73 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl503, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572])).
% 7.94/1.73 thf(zip_derived_cl619, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 7.94/1.73 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl486, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.73 zip_derived_cl596])).
% 7.94/1.73 thf(zip_derived_cl644, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 7.94/1.73 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl471, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.73 zip_derived_cl596, zip_derived_cl619])).
% 7.94/1.73 thf(zip_derived_cl675, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 7.94/1.73 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl449, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.73 zip_derived_cl596, zip_derived_cl619, zip_derived_cl644])).
% 7.94/1.73 thf(zip_derived_cl848, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 7.94/1.73 X7 : $i, X8 : $i]:
% 7.94/1.73 ( (ssPv12_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 7.94/1.73 X7 @ X8)
% 7.94/1.73 | ~ (ssPv20_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 7.94/1.73 X7 @ X8)
% 7.94/1.73 | ~ (ssPv16_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 7.94/1.73 X7 @ X8)
% 7.94/1.73 | ~ (ssPv15_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 7.94/1.73 X7 @ X8))),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl354, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.73 zip_derived_cl596, zip_derived_cl619, zip_derived_cl644,
% 7.94/1.73 zip_derived_cl675])).
% 7.94/1.73 thf(clause112, conjecture,
% 7.94/1.73 (~( ( ssPv20_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) |
% 7.94/1.73 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 7.94/1.73 ( ~( ssPv20_1r1 @ U ) ) | ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 7.94/1.73 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 7.94/1.73 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 7.94/1.73 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 7.94/1.73 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 7.94/1.73 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 7.94/1.73 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) ))).
% 7.94/1.73 thf(zf_stmt_28, negated_conjecture,
% 7.94/1.73 (( ssPv20_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) |
% 7.94/1.73 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) | ( ~( ssPv20_1r1 @ U ) ) |
% 7.94/1.73 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 7.94/1.73 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 7.94/1.73 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 7.94/1.73 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 7.94/1.73 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 7.94/1.73 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) )),
% 7.94/1.73 inference('cnf.neg', [status(esa)], [clause112])).
% 7.94/1.73 thf(zip_derived_cl424, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 7.94/1.73 X7 : $i, X8 : $i]:
% 7.94/1.73 ( (ssPv20_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 7.94/1.73 X7 @ X8)
% 7.94/1.73 | ~ (ssNder1_0)
% 7.94/1.73 | ~ (ssNder1_1r1 @ X0)
% 7.94/1.73 | ~ (ssPv20_1r1 @ X0)
% 7.94/1.73 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 7.94/1.73 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 7.94/1.73 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 7.94/1.73 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 7.94/1.73 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 7.94/1.73 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 7.94/1.73 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 7.94/1.73 X7))),
% 7.94/1.73 inference('cnf', [status(esa)], [zf_stmt_28])).
% 7.94/1.73 thf(zip_derived_cl535, plain, ( (ssNder1_0)),
% 7.94/1.73 inference('cnf', [status(esa)], [zf_stmt_1])).
% 7.94/1.73 thf(zip_derived_cl541, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 7.94/1.73 inference('demod', [status(thm)], [zip_derived_cl534, zip_derived_cl535])).
% 7.94/1.73 thf(zip_derived_cl542, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl533, zip_derived_cl535, zip_derived_cl541])).
% 7.94/1.73 thf(zip_derived_cl552, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl525, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542])).
% 7.94/1.73 thf(zip_derived_cl572, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.94/1.73 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl518, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552])).
% 7.94/1.73 thf(zip_derived_cl596, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 7.94/1.73 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl503, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572])).
% 7.94/1.73 thf(zip_derived_cl619, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 7.94/1.73 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl486, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.73 zip_derived_cl596])).
% 7.94/1.73 thf(zip_derived_cl644, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 7.94/1.73 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl471, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.73 zip_derived_cl596, zip_derived_cl619])).
% 7.94/1.73 thf(zip_derived_cl675, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 7.94/1.73 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl449, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.73 zip_derived_cl596, zip_derived_cl619, zip_derived_cl644])).
% 7.94/1.73 thf(zip_derived_cl730, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 7.94/1.73 X7 : $i, X8 : $i]:
% 7.94/1.73 ( (ssPv20_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 7.94/1.73 X7 @ X8)
% 7.94/1.73 | ~ (ssPv20_1r1 @ X0))),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl424, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.73 zip_derived_cl596, zip_derived_cl619, zip_derived_cl644,
% 7.94/1.73 zip_derived_cl675])).
% 7.94/1.73 thf(clause180, conjecture,
% 7.94/1.73 (~( ( ssPv14_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) |
% 7.94/1.73 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 7.94/1.73 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 7.94/1.73 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 7.94/1.73 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 7.94/1.73 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 7.94/1.73 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 7.94/1.73 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 7.94/1.73 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 7.94/1.73 ( ~( ssPv20_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 7.94/1.73 ( ~( ssPv13_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 7.94/1.73 ( ~( ssPv12_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) ))).
% 7.94/1.73 thf(zf_stmt_29, negated_conjecture,
% 7.94/1.73 (( ssPv14_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) |
% 7.94/1.73 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 7.94/1.73 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 7.94/1.73 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 7.94/1.73 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 7.94/1.73 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 7.94/1.73 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 7.94/1.73 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 7.94/1.73 ( ~( ssPv20_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 7.94/1.73 ( ~( ssPv13_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 7.94/1.73 ( ~( ssPv12_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) )),
% 7.94/1.73 inference('cnf.neg', [status(esa)], [clause180])).
% 7.94/1.73 thf(zip_derived_cl356, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 7.94/1.73 X7 : $i, X8 : $i]:
% 7.94/1.73 ( (ssPv14_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 7.94/1.73 X7 @ X8)
% 7.94/1.73 | ~ (ssNder1_0)
% 7.94/1.73 | ~ (ssNder1_1r1 @ X0)
% 7.94/1.73 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 7.94/1.73 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 7.94/1.73 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 7.94/1.73 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 7.94/1.73 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 7.94/1.73 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 7.94/1.73 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 7.94/1.73 X7)
% 7.94/1.73 | ~ (ssPv20_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 7.94/1.73 X7 @ X8)
% 7.94/1.73 | ~ (ssPv13_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 7.94/1.73 X7 @ X8)
% 7.94/1.73 | ~ (ssPv12_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 7.94/1.73 X7 @ X8))),
% 7.94/1.73 inference('cnf', [status(esa)], [zf_stmt_29])).
% 7.94/1.73 thf(zip_derived_cl535, plain, ( (ssNder1_0)),
% 7.94/1.73 inference('cnf', [status(esa)], [zf_stmt_1])).
% 7.94/1.73 thf(zip_derived_cl541, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 7.94/1.73 inference('demod', [status(thm)], [zip_derived_cl534, zip_derived_cl535])).
% 7.94/1.73 thf(zip_derived_cl542, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl533, zip_derived_cl535, zip_derived_cl541])).
% 7.94/1.73 thf(zip_derived_cl552, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl525, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542])).
% 7.94/1.73 thf(zip_derived_cl572, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.94/1.73 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl518, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552])).
% 7.94/1.73 thf(zip_derived_cl596, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 7.94/1.73 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl503, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572])).
% 7.94/1.73 thf(zip_derived_cl619, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 7.94/1.73 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl486, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.73 zip_derived_cl596])).
% 7.94/1.73 thf(zip_derived_cl644, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 7.94/1.73 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl471, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.73 zip_derived_cl596, zip_derived_cl619])).
% 7.94/1.73 thf(zip_derived_cl675, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 7.94/1.73 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl449, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.73 zip_derived_cl596, zip_derived_cl619, zip_derived_cl644])).
% 7.94/1.73 thf(zip_derived_cl854, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 7.94/1.73 X7 : $i, X8 : $i]:
% 7.94/1.73 ( (ssPv14_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 7.94/1.73 X7 @ X8)
% 7.94/1.73 | ~ (ssPv20_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 7.94/1.73 X7 @ X8)
% 7.94/1.73 | ~ (ssPv13_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 7.94/1.73 X7 @ X8)
% 7.94/1.73 | ~ (ssPv12_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 7.94/1.73 X7 @ X8))),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl356, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.73 zip_derived_cl596, zip_derived_cl619, zip_derived_cl644,
% 7.94/1.73 zip_derived_cl675])).
% 7.94/1.73 thf(zip_derived_cl855, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 7.94/1.73 X7 : $i, X8 : $i]:
% 7.94/1.73 (~ (ssPv20_1r1 @ X8)
% 7.94/1.73 | ~ (ssPv12_9r1r1r1r1r1r1r1r1r1 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @
% 7.94/1.73 X1 @ X0)
% 7.94/1.73 | ~ (ssPv13_9r1r1r1r1r1r1r1r1r1 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @
% 7.94/1.73 X1 @ X0)
% 7.94/1.73 | (ssPv14_9r1r1r1r1r1r1r1r1r1 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @
% 7.94/1.73 X1 @ X0))),
% 7.94/1.73 inference('sup-', [status(thm)], [zip_derived_cl730, zip_derived_cl854])).
% 7.94/1.73 thf(zip_derived_cl856, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 7.94/1.73 X7 : $i, X8 : $i]:
% 7.94/1.73 (~ (ssPv15_9r1r1r1r1r1r1r1r1r1 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @
% 7.94/1.73 X1 @ X0)
% 7.94/1.73 | ~ (ssPv16_9r1r1r1r1r1r1r1r1r1 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @
% 7.94/1.73 X1 @ X0)
% 7.94/1.73 | ~ (ssPv20_9r1r1r1r1r1r1r1r1r1 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @
% 7.94/1.73 X1 @ X0)
% 7.94/1.73 | (ssPv14_9r1r1r1r1r1r1r1r1r1 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @
% 7.94/1.73 X1 @ X0)
% 7.94/1.73 | ~ (ssPv13_9r1r1r1r1r1r1r1r1r1 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @
% 7.94/1.73 X1 @ X0)
% 7.94/1.73 | ~ (ssPv20_1r1 @ X8))),
% 7.94/1.73 inference('sup-', [status(thm)], [zip_derived_cl848, zip_derived_cl855])).
% 7.94/1.73 thf(zip_derived_cl730, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 7.94/1.73 X7 : $i, X8 : $i]:
% 7.94/1.73 ( (ssPv20_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 7.94/1.73 X7 @ X8)
% 7.94/1.73 | ~ (ssPv20_1r1 @ X0))),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl424, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.73 zip_derived_cl596, zip_derived_cl619, zip_derived_cl644,
% 7.94/1.73 zip_derived_cl675])).
% 7.94/1.73 thf(zip_derived_cl857, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 7.94/1.73 X7 : $i, X8 : $i]:
% 7.94/1.73 (~ (ssPv20_1r1 @ X8)
% 7.94/1.73 | ~ (ssPv13_9r1r1r1r1r1r1r1r1r1 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @
% 7.94/1.73 X1 @ X0)
% 7.94/1.73 | (ssPv14_9r1r1r1r1r1r1r1r1r1 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @
% 7.94/1.73 X1 @ X0)
% 7.94/1.73 | ~ (ssPv16_9r1r1r1r1r1r1r1r1r1 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @
% 7.94/1.73 X1 @ X0)
% 7.94/1.73 | ~ (ssPv15_9r1r1r1r1r1r1r1r1r1 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @
% 7.94/1.73 X1 @ X0))),
% 7.94/1.73 inference('clc', [status(thm)], [zip_derived_cl856, zip_derived_cl730])).
% 7.94/1.73 thf(zip_derived_cl858, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 7.94/1.73 X7 : $i, X8 : $i]:
% 7.94/1.73 (~ (ssPv13_8r1r1r1r1r1r1r1r1 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1)
% 7.94/1.73 | ~ (ssPv15_9r1r1r1r1r1r1r1r1r1 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @
% 7.94/1.73 X1 @ X0)
% 7.94/1.73 | ~ (ssPv16_9r1r1r1r1r1r1r1r1r1 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @
% 7.94/1.73 X1 @ X0)
% 7.94/1.73 | (ssPv14_9r1r1r1r1r1r1r1r1r1 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @
% 7.94/1.73 X1 @ X0)
% 7.94/1.73 | ~ (ssPv20_1r1 @ X8))),
% 7.94/1.73 inference('sup-', [status(thm)], [zip_derived_cl762, zip_derived_cl857])).
% 7.94/1.73 thf(clause136, conjecture,
% 7.94/1.73 (~( ( ssPv14_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) |
% 7.94/1.73 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 7.94/1.73 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 7.94/1.73 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 7.94/1.73 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 7.94/1.73 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 7.94/1.73 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 7.94/1.73 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 7.94/1.73 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 7.94/1.73 ( ~( ssPv14_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) ))).
% 7.94/1.73 thf(zf_stmt_30, negated_conjecture,
% 7.94/1.73 (( ssPv14_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) |
% 7.94/1.73 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 7.94/1.73 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 7.94/1.73 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 7.94/1.73 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 7.94/1.73 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 7.94/1.73 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 7.94/1.73 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 7.94/1.73 ( ~( ssPv14_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) )),
% 7.94/1.73 inference('cnf.neg', [status(esa)], [clause136])).
% 7.94/1.73 thf(zip_derived_cl400, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 7.94/1.73 X7 : $i, X8 : $i]:
% 7.94/1.73 ( (ssPv14_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 7.94/1.73 | ~ (ssNder1_0)
% 7.94/1.73 | ~ (ssNder1_1r1 @ X0)
% 7.94/1.73 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 7.94/1.73 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 7.94/1.73 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 7.94/1.73 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 7.94/1.73 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 7.94/1.73 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 7.94/1.73 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 7.94/1.73 X7)
% 7.94/1.73 | ~ (ssPv14_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 7.94/1.73 X7 @ X8))),
% 7.94/1.73 inference('cnf', [status(esa)], [zf_stmt_30])).
% 7.94/1.73 thf(zip_derived_cl535, plain, ( (ssNder1_0)),
% 7.94/1.73 inference('cnf', [status(esa)], [zf_stmt_1])).
% 7.94/1.73 thf(zip_derived_cl541, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 7.94/1.73 inference('demod', [status(thm)], [zip_derived_cl534, zip_derived_cl535])).
% 7.94/1.73 thf(zip_derived_cl542, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl533, zip_derived_cl535, zip_derived_cl541])).
% 7.94/1.73 thf(zip_derived_cl552, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl525, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542])).
% 7.94/1.73 thf(zip_derived_cl572, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.94/1.73 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl518, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552])).
% 7.94/1.73 thf(zip_derived_cl596, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 7.94/1.73 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl503, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572])).
% 7.94/1.73 thf(zip_derived_cl619, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 7.94/1.73 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl486, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.73 zip_derived_cl596])).
% 7.94/1.73 thf(zip_derived_cl644, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 7.94/1.73 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl471, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.73 zip_derived_cl596, zip_derived_cl619])).
% 7.94/1.73 thf(zip_derived_cl675, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 7.94/1.73 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl449, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.73 zip_derived_cl596, zip_derived_cl619, zip_derived_cl644])).
% 7.94/1.73 thf(zip_derived_cl751, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 7.94/1.73 X7 : $i, X8 : $i]:
% 7.94/1.73 ( (ssPv14_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 7.94/1.73 | ~ (ssPv14_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 7.94/1.73 X7 @ X8))),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl400, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.73 zip_derived_cl596, zip_derived_cl619, zip_derived_cl644,
% 7.94/1.73 zip_derived_cl675])).
% 7.94/1.73 thf(zip_derived_cl859, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 7.94/1.73 X7 : $i, X8 : $i]:
% 7.94/1.73 (~ (ssPv20_1r1 @ X8)
% 7.94/1.73 | ~ (ssPv16_9r1r1r1r1r1r1r1r1r1 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @
% 7.94/1.73 X1 @ X0)
% 7.94/1.73 | ~ (ssPv15_9r1r1r1r1r1r1r1r1r1 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @
% 7.94/1.73 X1 @ X0)
% 7.94/1.73 | ~ (ssPv13_8r1r1r1r1r1r1r1r1 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1)
% 7.94/1.73 | (ssPv14_7r1r1r1r1r1r1r1 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2))),
% 7.94/1.73 inference('sup-', [status(thm)], [zip_derived_cl858, zip_derived_cl751])).
% 7.94/1.73 thf(zip_derived_cl860, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 7.94/1.73 X7 : $i, X8 : $i]:
% 7.94/1.73 (~ (ssPv16_5r1r1r1r1r1 @ X8 @ X7 @ X6 @ X5 @ X4)
% 7.94/1.73 | (ssPv14_7r1r1r1r1r1r1r1 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2)
% 7.94/1.73 | ~ (ssPv13_8r1r1r1r1r1r1r1r1 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1)
% 7.94/1.73 | ~ (ssPv15_9r1r1r1r1r1r1r1r1r1 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @
% 7.94/1.73 X1 @ X0)
% 7.94/1.73 | ~ (ssPv20_1r1 @ X8))),
% 7.94/1.73 inference('sup-', [status(thm)], [zip_derived_cl752, zip_derived_cl859])).
% 7.94/1.73 thf(zip_derived_cl861, plain,
% 7.94/1.73 (![X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i, X8 : $i]:
% 7.94/1.73 (~ (ssPv15_6r1r1r1r1r1r1 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3)
% 7.94/1.73 | ~ (ssPv20_1r1 @ X8)
% 7.94/1.73 | ~ (ssPv13_8r1r1r1r1r1r1r1r1 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1)
% 7.94/1.73 | (ssPv14_7r1r1r1r1r1r1r1 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2)
% 7.94/1.73 | ~ (ssPv16_5r1r1r1r1r1 @ X8 @ X7 @ X6 @ X5 @ X4))),
% 7.94/1.73 inference('sup-', [status(thm)], [zip_derived_cl755, zip_derived_cl860])).
% 7.94/1.73 thf(zip_derived_cl862, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 7.94/1.73 (~ (ssPv16_5r1r1r1r1r1 @ X6 @ X5 @ X4 @ X3 @ X2)
% 7.94/1.73 | (ssPv14_7r1r1r1r1r1r1r1 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 7.94/1.73 | ~ (ssPv20_1r1 @ X6)
% 7.94/1.73 | ~ (ssPv15_6r1r1r1r1r1r1 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1))),
% 7.94/1.73 inference('sup-', [status(thm)], [zip_derived_cl648, zip_derived_cl861])).
% 7.94/1.73 thf(clause54, conjecture,
% 7.94/1.73 (~( ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 7.94/1.73 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 7.94/1.73 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 7.94/1.73 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 7.94/1.73 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 7.94/1.73 ( ~( ssPv14_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ skc27 ) ) ))).
% 7.94/1.73 thf(zf_stmt_31, negated_conjecture,
% 7.94/1.73 (( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 7.94/1.73 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 7.94/1.73 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 7.94/1.73 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 7.94/1.73 ( ~( ssPv14_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ skc27 ) )),
% 7.94/1.73 inference('cnf.neg', [status(esa)], [clause54])).
% 7.94/1.73 thf(zip_derived_cl482, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 7.94/1.73 (~ (ssNder1_0)
% 7.94/1.73 | ~ (ssNder1_1r1 @ X0)
% 7.94/1.73 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 7.94/1.73 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 7.94/1.73 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 7.94/1.73 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 7.94/1.73 | ~ (ssPv14_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ skc27))),
% 7.94/1.73 inference('cnf', [status(esa)], [zf_stmt_31])).
% 7.94/1.73 thf(zip_derived_cl535, plain, ( (ssNder1_0)),
% 7.94/1.73 inference('cnf', [status(esa)], [zf_stmt_1])).
% 7.94/1.73 thf(zip_derived_cl537, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 7.94/1.73 (~ (ssNder1_1r1 @ X0)
% 7.94/1.73 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 7.94/1.73 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 7.94/1.73 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 7.94/1.73 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 7.94/1.73 | ~ (ssPv14_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ skc27))),
% 7.94/1.73 inference('demod', [status(thm)], [zip_derived_cl482, zip_derived_cl535])).
% 7.94/1.73 thf(zip_derived_cl541, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 7.94/1.73 inference('demod', [status(thm)], [zip_derived_cl534, zip_derived_cl535])).
% 7.94/1.73 thf(zip_derived_cl542, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl533, zip_derived_cl535, zip_derived_cl541])).
% 7.94/1.73 thf(zip_derived_cl552, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl525, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542])).
% 7.94/1.73 thf(zip_derived_cl567, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 7.94/1.73 (~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 7.94/1.73 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 7.94/1.73 | ~ (ssPv14_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ skc27))),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl537, zip_derived_cl541, zip_derived_cl542,
% 7.94/1.73 zip_derived_cl552])).
% 7.94/1.73 thf(zip_derived_cl572, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.94/1.73 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl518, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552])).
% 7.94/1.73 thf(zip_derived_cl574, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 7.94/1.73 (~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 7.94/1.73 | ~ (ssPv14_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ skc27))),
% 7.94/1.73 inference('demod', [status(thm)], [zip_derived_cl567, zip_derived_cl572])).
% 7.94/1.73 thf(zip_derived_cl596, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 7.94/1.73 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl503, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572])).
% 7.94/1.73 thf(zip_derived_cl597, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 7.94/1.73 ~ (ssPv14_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ skc27)),
% 7.94/1.73 inference('demod', [status(thm)], [zip_derived_cl574, zip_derived_cl596])).
% 7.94/1.73 thf(zip_derived_cl864, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 7.94/1.73 (~ (ssPv15_6r1r1r1r1r1r1 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 7.94/1.73 | ~ (ssPv20_1r1 @ X5)
% 7.94/1.73 | ~ (ssPv16_5r1r1r1r1r1 @ X5 @ X4 @ X3 @ X2 @ X1))),
% 7.94/1.73 inference('sup-', [status(thm)], [zip_derived_cl862, zip_derived_cl597])).
% 7.94/1.73 thf(zip_derived_cl865, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 7.94/1.73 (~ (ssPv16_5r1r1r1r1r1 @ X4 @ X3 @ X2 @ X1 @ X0) | ~ (ssPv20_1r1 @ X4))),
% 7.94/1.73 inference('sup-', [status(thm)], [zip_derived_cl606, zip_derived_cl864])).
% 7.94/1.73 thf(zip_derived_cl866, plain, (![X3 : $i]: ~ (ssPv20_1r1 @ X3)),
% 7.94/1.73 inference('sup-', [status(thm)], [zip_derived_cl582, zip_derived_cl865])).
% 7.94/1.73 thf(zip_derived_cl535, plain, ( (ssNder1_0)),
% 7.94/1.73 inference('cnf', [status(esa)], [zf_stmt_1])).
% 7.94/1.73 thf(zip_derived_cl541, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 7.94/1.73 inference('demod', [status(thm)], [zip_derived_cl534, zip_derived_cl535])).
% 7.94/1.73 thf(zip_derived_cl542, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl533, zip_derived_cl535, zip_derived_cl541])).
% 7.94/1.73 thf(zip_derived_cl552, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl525, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542])).
% 7.94/1.73 thf(zip_derived_cl572, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.94/1.73 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl518, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552])).
% 7.94/1.73 thf(zip_derived_cl596, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 7.94/1.73 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl503, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572])).
% 7.94/1.73 thf(zip_derived_cl619, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 7.94/1.73 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl486, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.73 zip_derived_cl596])).
% 7.94/1.73 thf(zip_derived_cl644, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 7.94/1.73 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl471, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.73 zip_derived_cl596, zip_derived_cl619])).
% 7.94/1.73 thf(zip_derived_cl675, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 7.94/1.73 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl449, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.73 zip_derived_cl596, zip_derived_cl619, zip_derived_cl644])).
% 7.94/1.73 thf(zip_derived_cl719, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 7.94/1.73 X7 : $i, X8 : $i]:
% 7.94/1.73 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 7.94/1.73 X7 @ X8)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl425, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.73 zip_derived_cl596, zip_derived_cl619, zip_derived_cl644,
% 7.94/1.73 zip_derived_cl675])).
% 7.94/1.73 thf(zip_derived_cl776, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 7.94/1.73 X7 : $i, X8 : $i, X9 : $i]:
% 7.94/1.73 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 7.94/1.73 X7 @ X8 @ X9)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl397, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.73 zip_derived_cl596, zip_derived_cl619, zip_derived_cl644,
% 7.94/1.73 zip_derived_cl675, zip_derived_cl719])).
% 7.94/1.73 thf(zip_derived_cl822, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 7.94/1.73 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 7.94/1.73 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 7.94/1.73 X6 @ X7 @ X8 @ X9 @ X10)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl370, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.73 zip_derived_cl596, zip_derived_cl619, zip_derived_cl644,
% 7.94/1.73 zip_derived_cl675, zip_derived_cl719, zip_derived_cl776])).
% 7.94/1.73 thf(zip_derived_cl941, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 7.94/1.73 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 7.94/1.73 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 7.94/1.73 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl341, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.73 zip_derived_cl596, zip_derived_cl619, zip_derived_cl644,
% 7.94/1.73 zip_derived_cl675, zip_derived_cl719, zip_derived_cl776,
% 7.94/1.73 zip_derived_cl822])).
% 7.94/1.73 thf(zip_derived_cl986, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 7.94/1.73 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 7.94/1.73 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 7.94/1.73 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl308, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.73 zip_derived_cl596, zip_derived_cl619, zip_derived_cl644,
% 7.94/1.73 zip_derived_cl675, zip_derived_cl719, zip_derived_cl776,
% 7.94/1.73 zip_derived_cl822, zip_derived_cl941])).
% 7.94/1.73 thf(zip_derived_cl1027, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 7.94/1.73 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 7.94/1.73 (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 7.94/1.73 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl278, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.73 zip_derived_cl596, zip_derived_cl619, zip_derived_cl644,
% 7.94/1.73 zip_derived_cl675, zip_derived_cl719, zip_derived_cl776,
% 7.94/1.73 zip_derived_cl822, zip_derived_cl941, zip_derived_cl986])).
% 7.94/1.73 thf(zip_derived_cl1074, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 7.94/1.73 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 7.94/1.73 X14 : $i]:
% 7.94/1.73 (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 7.94/1.73 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl247, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.73 zip_derived_cl596, zip_derived_cl619, zip_derived_cl644,
% 7.94/1.73 zip_derived_cl675, zip_derived_cl719, zip_derived_cl776,
% 7.94/1.73 zip_derived_cl822, zip_derived_cl941, zip_derived_cl986,
% 7.94/1.73 zip_derived_cl1027])).
% 7.94/1.73 thf(zip_derived_cl1096, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 7.94/1.73 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 7.94/1.73 X14 : $i, X15 : $i]:
% 7.94/1.73 ~ (ssPv20_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 7.94/1.73 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl207, zip_derived_cl866, zip_derived_cl535,
% 7.94/1.73 zip_derived_cl541, zip_derived_cl542, zip_derived_cl552,
% 7.94/1.73 zip_derived_cl572, zip_derived_cl596, zip_derived_cl619,
% 7.94/1.73 zip_derived_cl644, zip_derived_cl675, zip_derived_cl719,
% 7.94/1.73 zip_derived_cl776, zip_derived_cl822, zip_derived_cl941,
% 7.94/1.73 zip_derived_cl986, zip_derived_cl1027, zip_derived_cl1074])).
% 7.94/1.73 thf(zip_derived_cl535, plain, ( (ssNder1_0)),
% 7.94/1.73 inference('cnf', [status(esa)], [zf_stmt_1])).
% 7.94/1.73 thf(zip_derived_cl541, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 7.94/1.73 inference('demod', [status(thm)], [zip_derived_cl534, zip_derived_cl535])).
% 7.94/1.73 thf(zip_derived_cl542, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl533, zip_derived_cl535, zip_derived_cl541])).
% 7.94/1.73 thf(zip_derived_cl552, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl525, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542])).
% 7.94/1.73 thf(zip_derived_cl572, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.94/1.73 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl518, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552])).
% 7.94/1.73 thf(zip_derived_cl596, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 7.94/1.73 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl503, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572])).
% 7.94/1.73 thf(zip_derived_cl619, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 7.94/1.73 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl486, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.73 zip_derived_cl596])).
% 7.94/1.73 thf(zip_derived_cl644, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 7.94/1.73 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl471, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.73 zip_derived_cl596, zip_derived_cl619])).
% 7.94/1.73 thf(zip_derived_cl675, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 7.94/1.73 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl449, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.73 zip_derived_cl596, zip_derived_cl619, zip_derived_cl644])).
% 7.94/1.73 thf(zip_derived_cl719, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 7.94/1.73 X7 : $i, X8 : $i]:
% 7.94/1.73 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 7.94/1.73 X7 @ X8)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl425, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.73 zip_derived_cl596, zip_derived_cl619, zip_derived_cl644,
% 7.94/1.73 zip_derived_cl675])).
% 7.94/1.73 thf(zip_derived_cl776, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 7.94/1.73 X7 : $i, X8 : $i, X9 : $i]:
% 7.94/1.73 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 7.94/1.73 X7 @ X8 @ X9)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl397, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.73 zip_derived_cl596, zip_derived_cl619, zip_derived_cl644,
% 7.94/1.73 zip_derived_cl675, zip_derived_cl719])).
% 7.94/1.73 thf(zip_derived_cl822, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 7.94/1.73 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 7.94/1.73 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 7.94/1.73 X6 @ X7 @ X8 @ X9 @ X10)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl370, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.73 zip_derived_cl596, zip_derived_cl619, zip_derived_cl644,
% 7.94/1.73 zip_derived_cl675, zip_derived_cl719, zip_derived_cl776])).
% 7.94/1.73 thf(zip_derived_cl941, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 7.94/1.73 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 7.94/1.73 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 7.94/1.73 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl341, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.73 zip_derived_cl596, zip_derived_cl619, zip_derived_cl644,
% 7.94/1.73 zip_derived_cl675, zip_derived_cl719, zip_derived_cl776,
% 7.94/1.73 zip_derived_cl822])).
% 7.94/1.73 thf(zip_derived_cl986, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 7.94/1.73 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 7.94/1.73 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 7.94/1.73 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl308, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.73 zip_derived_cl596, zip_derived_cl619, zip_derived_cl644,
% 7.94/1.73 zip_derived_cl675, zip_derived_cl719, zip_derived_cl776,
% 7.94/1.73 zip_derived_cl822, zip_derived_cl941])).
% 7.94/1.73 thf(zip_derived_cl1027, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 7.94/1.73 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 7.94/1.73 (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 7.94/1.73 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl278, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.73 zip_derived_cl596, zip_derived_cl619, zip_derived_cl644,
% 7.94/1.73 zip_derived_cl675, zip_derived_cl719, zip_derived_cl776,
% 7.94/1.73 zip_derived_cl822, zip_derived_cl941, zip_derived_cl986])).
% 7.94/1.73 thf(zip_derived_cl1074, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 7.94/1.73 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 7.94/1.73 X14 : $i]:
% 7.94/1.73 (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 7.94/1.73 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl247, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.73 zip_derived_cl596, zip_derived_cl619, zip_derived_cl644,
% 7.94/1.73 zip_derived_cl675, zip_derived_cl719, zip_derived_cl776,
% 7.94/1.73 zip_derived_cl822, zip_derived_cl941, zip_derived_cl986,
% 7.94/1.73 zip_derived_cl1027])).
% 7.94/1.73 thf(zip_derived_cl1341, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 7.94/1.73 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 7.94/1.73 X14 : $i, X15 : $i]:
% 7.94/1.73 ( (ssPv4_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 7.94/1.73 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15)
% 7.94/1.73 | ~ (ssPv14_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 7.94/1.73 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15)
% 7.94/1.73 | ~ (ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 7.94/1.73 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15))),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl111, zip_derived_cl1096, zip_derived_cl535,
% 7.94/1.73 zip_derived_cl541, zip_derived_cl542, zip_derived_cl552,
% 7.94/1.73 zip_derived_cl572, zip_derived_cl596, zip_derived_cl619,
% 7.94/1.73 zip_derived_cl644, zip_derived_cl675, zip_derived_cl719,
% 7.94/1.73 zip_derived_cl776, zip_derived_cl822, zip_derived_cl941,
% 7.94/1.73 zip_derived_cl986, zip_derived_cl1027, zip_derived_cl1074])).
% 7.94/1.73 thf(clause290, conjecture,
% 7.94/1.73 (~( ( ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.73 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 7.94/1.73 skc16 ) |
% 7.94/1.73 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 7.94/1.73 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 7.94/1.73 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 7.94/1.73 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 7.94/1.73 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 7.94/1.73 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 7.94/1.73 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 7.94/1.73 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 7.94/1.73 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 7.94/1.73 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.73 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 7.94/1.73 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.73 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 7.94/1.73 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.73 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 7.94/1.73 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.73 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 7.94/1.73 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.73 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) ))).
% 7.94/1.73 thf(zf_stmt_32, negated_conjecture,
% 7.94/1.73 (( ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.73 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 7.94/1.73 skc16 ) |
% 7.94/1.73 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 7.94/1.73 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 7.94/1.73 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 7.94/1.73 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 7.94/1.73 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 7.94/1.73 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 7.94/1.73 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 7.94/1.73 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 7.94/1.73 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.73 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 7.94/1.73 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.73 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 7.94/1.73 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.73 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 7.94/1.73 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.73 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 7.94/1.73 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.73 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) )),
% 7.94/1.73 inference('cnf.neg', [status(esa)], [clause290])).
% 7.94/1.73 thf(zip_derived_cl246, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 7.94/1.73 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 7.94/1.73 X14 : $i]:
% 7.94/1.73 ( (ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 7.94/1.73 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ skc16)
% 7.94/1.73 | ~ (ssNder1_0)
% 7.94/1.73 | ~ (ssNder1_1r1 @ X0)
% 7.94/1.73 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 7.94/1.73 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 7.94/1.73 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 7.94/1.73 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 7.94/1.73 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 7.94/1.73 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 7.94/1.73 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 7.94/1.73 X7)
% 7.94/1.73 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 7.94/1.73 X6 @ X7 @ X8)
% 7.94/1.73 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 7.94/1.73 X6 @ X7 @ X8 @ X9)
% 7.94/1.73 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 7.94/1.73 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 7.94/1.73 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 7.94/1.73 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 7.94/1.73 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 7.94/1.73 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 7.94/1.73 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 7.94/1.73 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13))),
% 7.94/1.73 inference('cnf', [status(esa)], [zf_stmt_32])).
% 7.94/1.73 thf(zip_derived_cl535, plain, ( (ssNder1_0)),
% 7.94/1.73 inference('cnf', [status(esa)], [zf_stmt_1])).
% 7.94/1.73 thf(zip_derived_cl541, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 7.94/1.73 inference('demod', [status(thm)], [zip_derived_cl534, zip_derived_cl535])).
% 7.94/1.73 thf(zip_derived_cl542, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl533, zip_derived_cl535, zip_derived_cl541])).
% 7.94/1.73 thf(zip_derived_cl552, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl525, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542])).
% 7.94/1.73 thf(zip_derived_cl572, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.94/1.73 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl518, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552])).
% 7.94/1.73 thf(zip_derived_cl596, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 7.94/1.73 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl503, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572])).
% 7.94/1.73 thf(zip_derived_cl619, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 7.94/1.73 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl486, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.73 zip_derived_cl596])).
% 7.94/1.73 thf(zip_derived_cl644, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 7.94/1.73 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl471, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.73 zip_derived_cl596, zip_derived_cl619])).
% 7.94/1.73 thf(zip_derived_cl675, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 7.94/1.73 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl449, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.73 zip_derived_cl596, zip_derived_cl619, zip_derived_cl644])).
% 7.94/1.73 thf(zip_derived_cl719, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 7.94/1.73 X7 : $i, X8 : $i]:
% 7.94/1.73 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 7.94/1.73 X7 @ X8)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl425, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.73 zip_derived_cl596, zip_derived_cl619, zip_derived_cl644,
% 7.94/1.73 zip_derived_cl675])).
% 7.94/1.73 thf(zip_derived_cl776, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 7.94/1.73 X7 : $i, X8 : $i, X9 : $i]:
% 7.94/1.73 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 7.94/1.73 X7 @ X8 @ X9)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl397, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.73 zip_derived_cl596, zip_derived_cl619, zip_derived_cl644,
% 7.94/1.73 zip_derived_cl675, zip_derived_cl719])).
% 7.94/1.73 thf(zip_derived_cl822, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 7.94/1.73 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 7.94/1.73 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 7.94/1.73 X6 @ X7 @ X8 @ X9 @ X10)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl370, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.73 zip_derived_cl596, zip_derived_cl619, zip_derived_cl644,
% 7.94/1.73 zip_derived_cl675, zip_derived_cl719, zip_derived_cl776])).
% 7.94/1.73 thf(zip_derived_cl941, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 7.94/1.73 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 7.94/1.73 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 7.94/1.73 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl341, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.73 zip_derived_cl596, zip_derived_cl619, zip_derived_cl644,
% 7.94/1.73 zip_derived_cl675, zip_derived_cl719, zip_derived_cl776,
% 7.94/1.73 zip_derived_cl822])).
% 7.94/1.73 thf(zip_derived_cl986, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 7.94/1.73 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 7.94/1.73 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 7.94/1.73 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl308, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.73 zip_derived_cl596, zip_derived_cl619, zip_derived_cl644,
% 7.94/1.73 zip_derived_cl675, zip_derived_cl719, zip_derived_cl776,
% 7.94/1.73 zip_derived_cl822, zip_derived_cl941])).
% 7.94/1.73 thf(zip_derived_cl1027, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 7.94/1.73 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 7.94/1.73 (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 7.94/1.73 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl278, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.73 zip_derived_cl596, zip_derived_cl619, zip_derived_cl644,
% 7.94/1.73 zip_derived_cl675, zip_derived_cl719, zip_derived_cl776,
% 7.94/1.73 zip_derived_cl822, zip_derived_cl941, zip_derived_cl986])).
% 7.94/1.73 thf(zip_derived_cl1076, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 7.94/1.73 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 7.94/1.73 X14 : $i]:
% 7.94/1.73 (ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 7.94/1.73 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ skc16)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl246, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.73 zip_derived_cl596, zip_derived_cl619, zip_derived_cl644,
% 7.94/1.73 zip_derived_cl675, zip_derived_cl719, zip_derived_cl776,
% 7.94/1.73 zip_derived_cl822, zip_derived_cl941, zip_derived_cl986,
% 7.94/1.73 zip_derived_cl1027])).
% 7.94/1.73 thf(clause429, conjecture,
% 7.94/1.73 (~( ( ssPv12_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.73 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 7.94/1.73 X10 ) |
% 7.94/1.73 ( ssPv8_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.73 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 7.94/1.73 X10 ) |
% 7.94/1.73 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 7.94/1.73 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 7.94/1.73 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 7.94/1.73 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 7.94/1.73 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 7.94/1.73 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 7.94/1.73 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 7.94/1.73 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 7.94/1.73 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 7.94/1.73 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.73 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 7.94/1.73 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.73 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 7.94/1.73 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.73 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 7.94/1.73 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.73 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 7.94/1.73 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.73 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 7.94/1.73 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.73 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 7.94/1.73 ( ~( ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.73 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 7.94/1.73 X9 @ X10 ) ) |
% 7.94/1.73 ( ~( ssPv4_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.73 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 7.94/1.73 X9 @ X10 ) ) ))).
% 7.94/1.73 thf(zf_stmt_33, negated_conjecture,
% 7.94/1.73 (( ssPv12_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.73 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 ) |
% 7.94/1.73 ( ssPv8_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.73 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 ) |
% 7.94/1.73 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 7.94/1.73 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 7.94/1.73 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 7.94/1.73 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 7.94/1.73 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 7.94/1.73 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 7.94/1.73 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 7.94/1.73 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 7.94/1.73 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.73 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 7.94/1.73 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.73 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 7.94/1.73 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.73 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 7.94/1.73 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.73 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 7.94/1.73 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.73 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 7.94/1.73 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.73 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 7.94/1.73 ( ~( ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.73 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 7.94/1.73 X10 ) ) |
% 7.94/1.73 ( ~( ssPv4_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.73 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 7.94/1.73 X10 ) )),
% 7.94/1.73 inference('cnf.neg', [status(esa)], [clause429])).
% 7.94/1.73 thf(zip_derived_cl107, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 7.94/1.73 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 7.94/1.73 X14 : $i, X15 : $i]:
% 7.94/1.73 ( (ssPv12_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 7.94/1.73 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15)
% 7.94/1.73 | (ssPv8_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 7.94/1.73 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15)
% 7.94/1.73 | ~ (ssNder1_0)
% 7.94/1.73 | ~ (ssNder1_1r1 @ X0)
% 7.94/1.73 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 7.94/1.73 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 7.94/1.73 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 7.94/1.73 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 7.94/1.73 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 7.94/1.73 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 7.94/1.73 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 7.94/1.73 X7)
% 7.94/1.73 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 7.94/1.73 X6 @ X7 @ X8)
% 7.94/1.73 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 7.94/1.73 X6 @ X7 @ X8 @ X9)
% 7.94/1.73 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 7.94/1.73 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 7.94/1.73 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 7.94/1.73 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 7.94/1.73 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 7.94/1.73 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 7.94/1.73 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 7.94/1.73 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 7.94/1.73 | ~ (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 7.94/1.73 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 7.94/1.73 | ~ (ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 7.94/1.73 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15)
% 7.94/1.73 | ~ (ssPv4_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 7.94/1.73 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15))),
% 7.94/1.73 inference('cnf', [status(esa)], [zf_stmt_33])).
% 7.94/1.73 thf(zip_derived_cl535, plain, ( (ssNder1_0)),
% 7.94/1.73 inference('cnf', [status(esa)], [zf_stmt_1])).
% 7.94/1.73 thf(zip_derived_cl541, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 7.94/1.73 inference('demod', [status(thm)], [zip_derived_cl534, zip_derived_cl535])).
% 7.94/1.73 thf(zip_derived_cl542, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl533, zip_derived_cl535, zip_derived_cl541])).
% 7.94/1.73 thf(zip_derived_cl552, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl525, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542])).
% 7.94/1.73 thf(zip_derived_cl572, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.94/1.73 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl518, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552])).
% 7.94/1.73 thf(zip_derived_cl596, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 7.94/1.73 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl503, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572])).
% 7.94/1.73 thf(zip_derived_cl619, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 7.94/1.73 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl486, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.73 zip_derived_cl596])).
% 7.94/1.73 thf(zip_derived_cl644, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 7.94/1.73 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl471, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.73 zip_derived_cl596, zip_derived_cl619])).
% 7.94/1.73 thf(zip_derived_cl675, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 7.94/1.73 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl449, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.73 zip_derived_cl596, zip_derived_cl619, zip_derived_cl644])).
% 7.94/1.73 thf(zip_derived_cl719, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 7.94/1.73 X7 : $i, X8 : $i]:
% 7.94/1.73 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 7.94/1.73 X7 @ X8)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl425, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.73 zip_derived_cl596, zip_derived_cl619, zip_derived_cl644,
% 7.94/1.73 zip_derived_cl675])).
% 7.94/1.73 thf(zip_derived_cl776, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 7.94/1.73 X7 : $i, X8 : $i, X9 : $i]:
% 7.94/1.73 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 7.94/1.73 X7 @ X8 @ X9)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl397, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.73 zip_derived_cl596, zip_derived_cl619, zip_derived_cl644,
% 7.94/1.73 zip_derived_cl675, zip_derived_cl719])).
% 7.94/1.73 thf(zip_derived_cl822, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 7.94/1.73 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 7.94/1.73 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 7.94/1.73 X6 @ X7 @ X8 @ X9 @ X10)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl370, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.73 zip_derived_cl596, zip_derived_cl619, zip_derived_cl644,
% 7.94/1.73 zip_derived_cl675, zip_derived_cl719, zip_derived_cl776])).
% 7.94/1.73 thf(zip_derived_cl941, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 7.94/1.73 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 7.94/1.73 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 7.94/1.73 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl341, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.73 zip_derived_cl596, zip_derived_cl619, zip_derived_cl644,
% 7.94/1.73 zip_derived_cl675, zip_derived_cl719, zip_derived_cl776,
% 7.94/1.73 zip_derived_cl822])).
% 7.94/1.73 thf(zip_derived_cl986, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 7.94/1.73 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 7.94/1.73 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 7.94/1.73 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl308, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.73 zip_derived_cl596, zip_derived_cl619, zip_derived_cl644,
% 7.94/1.73 zip_derived_cl675, zip_derived_cl719, zip_derived_cl776,
% 7.94/1.73 zip_derived_cl822, zip_derived_cl941])).
% 7.94/1.73 thf(zip_derived_cl1027, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 7.94/1.73 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 7.94/1.73 (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 7.94/1.73 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl278, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.73 zip_derived_cl596, zip_derived_cl619, zip_derived_cl644,
% 7.94/1.73 zip_derived_cl675, zip_derived_cl719, zip_derived_cl776,
% 7.94/1.73 zip_derived_cl822, zip_derived_cl941, zip_derived_cl986])).
% 7.94/1.73 thf(zip_derived_cl1074, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 7.94/1.73 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 7.94/1.73 X14 : $i]:
% 7.94/1.73 (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 7.94/1.73 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl247, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.73 zip_derived_cl596, zip_derived_cl619, zip_derived_cl644,
% 7.94/1.73 zip_derived_cl675, zip_derived_cl719, zip_derived_cl776,
% 7.94/1.73 zip_derived_cl822, zip_derived_cl941, zip_derived_cl986,
% 7.94/1.73 zip_derived_cl1027])).
% 7.94/1.73 thf(zip_derived_cl1311, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 7.94/1.73 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 7.94/1.73 X14 : $i, X15 : $i]:
% 7.94/1.73 ( (ssPv12_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 7.94/1.73 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15)
% 7.94/1.73 | (ssPv8_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 7.94/1.73 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15)
% 7.94/1.73 | ~ (ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 7.94/1.73 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15)
% 7.94/1.73 | ~ (ssPv4_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 7.94/1.73 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15))),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl107, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.73 zip_derived_cl596, zip_derived_cl619, zip_derived_cl644,
% 7.94/1.73 zip_derived_cl675, zip_derived_cl719, zip_derived_cl776,
% 7.94/1.73 zip_derived_cl822, zip_derived_cl941, zip_derived_cl986,
% 7.94/1.73 zip_derived_cl1027, zip_derived_cl1074])).
% 7.94/1.73 thf(zip_derived_cl1312, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 7.94/1.73 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 7.94/1.73 X14 : $i]:
% 7.94/1.73 (~ (ssPv4_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X14 @ X13 @ X12 @
% 7.94/1.73 X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @
% 7.94/1.73 skc16)
% 7.94/1.73 | (ssPv8_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X14 @ X13 @ X12 @
% 7.94/1.73 X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @
% 7.94/1.73 skc16)
% 7.94/1.73 | (ssPv12_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X14 @ X13 @ X12 @
% 7.94/1.73 X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @
% 7.94/1.73 skc16))),
% 7.94/1.73 inference('sup-', [status(thm)], [zip_derived_cl1076, zip_derived_cl1311])).
% 7.94/1.73 thf(zip_derived_cl1342, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 7.94/1.73 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 7.94/1.73 X14 : $i]:
% 7.94/1.73 (~ (ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X14 @ X13 @ X12 @
% 7.94/1.73 X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @
% 7.94/1.73 skc16)
% 7.94/1.73 | ~ (ssPv14_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X14 @ X13 @ X12 @
% 7.94/1.73 X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @
% 7.94/1.73 skc16)
% 7.94/1.73 | (ssPv12_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X14 @ X13 @ X12 @
% 7.94/1.73 X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @
% 7.94/1.73 skc16)
% 7.94/1.73 | (ssPv8_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X14 @ X13 @ X12 @
% 7.94/1.73 X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @
% 7.94/1.73 skc16))),
% 7.94/1.73 inference('sup-', [status(thm)], [zip_derived_cl1341, zip_derived_cl1312])).
% 7.94/1.73 thf(zip_derived_cl1076, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 7.94/1.73 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 7.94/1.73 X14 : $i]:
% 7.94/1.73 (ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 7.94/1.73 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ skc16)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl246, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.73 zip_derived_cl596, zip_derived_cl619, zip_derived_cl644,
% 7.94/1.73 zip_derived_cl675, zip_derived_cl719, zip_derived_cl776,
% 7.94/1.73 zip_derived_cl822, zip_derived_cl941, zip_derived_cl986,
% 7.94/1.73 zip_derived_cl1027])).
% 7.94/1.73 thf(zip_derived_cl1344, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 7.94/1.73 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 7.94/1.73 X14 : $i]:
% 7.94/1.73 (~ (ssPv14_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X14 @ X13 @ X12 @
% 7.94/1.73 X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @
% 7.94/1.73 skc16)
% 7.94/1.73 | (ssPv12_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X14 @ X13 @ X12 @
% 7.94/1.73 X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @
% 7.94/1.73 skc16)
% 7.94/1.73 | (ssPv8_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X14 @ X13 @ X12 @
% 7.94/1.73 X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @
% 7.94/1.73 skc16))),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl1342, zip_derived_cl1076])).
% 7.94/1.73 thf(clause359, conjecture,
% 7.94/1.73 (~( ( ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.73 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) |
% 7.94/1.73 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 7.94/1.73 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 7.94/1.73 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 7.94/1.73 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 7.94/1.73 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 7.94/1.73 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 7.94/1.73 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 7.94/1.73 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 7.94/1.73 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 7.94/1.73 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.73 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 7.94/1.73 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.73 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 7.94/1.73 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.73 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 7.94/1.73 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.73 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 7.94/1.73 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.73 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 7.94/1.73 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.73 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 7.94/1.73 ( ~( ssPv8_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.73 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 7.94/1.73 X9 @ X10 ) ) ))).
% 7.94/1.73 thf(zf_stmt_34, negated_conjecture,
% 7.94/1.73 (( ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.73 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) |
% 7.94/1.73 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 7.94/1.73 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 7.94/1.73 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 7.94/1.73 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 7.94/1.73 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 7.94/1.73 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 7.94/1.73 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 7.94/1.73 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 7.94/1.73 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.73 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 7.94/1.73 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.73 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 7.94/1.73 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.73 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 7.94/1.73 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.73 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 7.94/1.73 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.73 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 7.94/1.73 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.73 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 7.94/1.73 ( ~( ssPv8_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.73 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 7.94/1.73 X10 ) )),
% 7.94/1.73 inference('cnf.neg', [status(esa)], [clause359])).
% 7.94/1.73 thf(zip_derived_cl177, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 7.94/1.73 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 7.94/1.73 X14 : $i, X15 : $i]:
% 7.94/1.73 ( (ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 7.94/1.73 X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 7.94/1.73 | ~ (ssNder1_0)
% 7.94/1.73 | ~ (ssNder1_1r1 @ X0)
% 7.94/1.73 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 7.94/1.73 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 7.94/1.73 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 7.94/1.73 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 7.94/1.73 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 7.94/1.73 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 7.94/1.73 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 7.94/1.73 X7)
% 7.94/1.73 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 7.94/1.73 X6 @ X7 @ X8)
% 7.94/1.73 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 7.94/1.73 X6 @ X7 @ X8 @ X9)
% 7.94/1.73 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 7.94/1.73 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 7.94/1.73 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 7.94/1.73 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 7.94/1.73 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 7.94/1.73 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 7.94/1.73 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 7.94/1.73 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 7.94/1.73 | ~ (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 7.94/1.73 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 7.94/1.73 | ~ (ssPv8_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 7.94/1.73 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15))),
% 7.94/1.73 inference('cnf', [status(esa)], [zf_stmt_34])).
% 7.94/1.73 thf(zip_derived_cl535, plain, ( (ssNder1_0)),
% 7.94/1.73 inference('cnf', [status(esa)], [zf_stmt_1])).
% 7.94/1.73 thf(zip_derived_cl541, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 7.94/1.73 inference('demod', [status(thm)], [zip_derived_cl534, zip_derived_cl535])).
% 7.94/1.73 thf(zip_derived_cl542, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl533, zip_derived_cl535, zip_derived_cl541])).
% 7.94/1.73 thf(zip_derived_cl552, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl525, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542])).
% 7.94/1.73 thf(zip_derived_cl572, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.94/1.73 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl518, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552])).
% 7.94/1.73 thf(zip_derived_cl596, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 7.94/1.73 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl503, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572])).
% 7.94/1.73 thf(zip_derived_cl619, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 7.94/1.73 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl486, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.73 zip_derived_cl596])).
% 7.94/1.73 thf(zip_derived_cl644, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 7.94/1.73 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl471, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.73 zip_derived_cl596, zip_derived_cl619])).
% 7.94/1.73 thf(zip_derived_cl675, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 7.94/1.73 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl449, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.73 zip_derived_cl596, zip_derived_cl619, zip_derived_cl644])).
% 7.94/1.73 thf(zip_derived_cl719, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 7.94/1.73 X7 : $i, X8 : $i]:
% 7.94/1.73 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 7.94/1.73 X7 @ X8)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl425, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.73 zip_derived_cl596, zip_derived_cl619, zip_derived_cl644,
% 7.94/1.73 zip_derived_cl675])).
% 7.94/1.73 thf(zip_derived_cl776, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 7.94/1.73 X7 : $i, X8 : $i, X9 : $i]:
% 7.94/1.73 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 7.94/1.73 X7 @ X8 @ X9)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl397, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.73 zip_derived_cl596, zip_derived_cl619, zip_derived_cl644,
% 7.94/1.73 zip_derived_cl675, zip_derived_cl719])).
% 7.94/1.73 thf(zip_derived_cl822, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 7.94/1.73 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 7.94/1.73 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 7.94/1.73 X6 @ X7 @ X8 @ X9 @ X10)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl370, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.73 zip_derived_cl596, zip_derived_cl619, zip_derived_cl644,
% 7.94/1.73 zip_derived_cl675, zip_derived_cl719, zip_derived_cl776])).
% 7.94/1.73 thf(zip_derived_cl941, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 7.94/1.73 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 7.94/1.73 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 7.94/1.73 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl341, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.73 zip_derived_cl596, zip_derived_cl619, zip_derived_cl644,
% 7.94/1.73 zip_derived_cl675, zip_derived_cl719, zip_derived_cl776,
% 7.94/1.73 zip_derived_cl822])).
% 7.94/1.73 thf(zip_derived_cl986, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 7.94/1.73 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 7.94/1.73 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 7.94/1.73 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl308, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.73 zip_derived_cl596, zip_derived_cl619, zip_derived_cl644,
% 7.94/1.73 zip_derived_cl675, zip_derived_cl719, zip_derived_cl776,
% 7.94/1.73 zip_derived_cl822, zip_derived_cl941])).
% 7.94/1.73 thf(zip_derived_cl1027, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 7.94/1.73 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 7.94/1.73 (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 7.94/1.73 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl278, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.73 zip_derived_cl596, zip_derived_cl619, zip_derived_cl644,
% 7.94/1.73 zip_derived_cl675, zip_derived_cl719, zip_derived_cl776,
% 7.94/1.73 zip_derived_cl822, zip_derived_cl941, zip_derived_cl986])).
% 7.94/1.73 thf(zip_derived_cl1074, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 7.94/1.73 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 7.94/1.73 X14 : $i]:
% 7.94/1.73 (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 7.94/1.73 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl247, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.73 zip_derived_cl596, zip_derived_cl619, zip_derived_cl644,
% 7.94/1.73 zip_derived_cl675, zip_derived_cl719, zip_derived_cl776,
% 7.94/1.73 zip_derived_cl822, zip_derived_cl941, zip_derived_cl986,
% 7.94/1.73 zip_derived_cl1027])).
% 7.94/1.73 thf(zip_derived_cl1164, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 7.94/1.73 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 7.94/1.73 X14 : $i, X15 : $i]:
% 7.94/1.73 ( (ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 7.94/1.73 X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 7.94/1.73 | ~ (ssPv8_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 7.94/1.73 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15))),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl177, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.73 zip_derived_cl596, zip_derived_cl619, zip_derived_cl644,
% 7.94/1.73 zip_derived_cl675, zip_derived_cl719, zip_derived_cl776,
% 7.94/1.73 zip_derived_cl822, zip_derived_cl941, zip_derived_cl986,
% 7.94/1.73 zip_derived_cl1027, zip_derived_cl1074])).
% 7.94/1.73 thf(zip_derived_cl1346, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 7.94/1.73 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 7.94/1.73 X14 : $i]:
% 7.94/1.73 ( (ssPv12_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X14 @ X13 @ X12 @
% 7.94/1.73 X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ skc16)
% 7.94/1.73 | ~ (ssPv14_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X14 @ X13 @ X12 @
% 7.94/1.73 X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @
% 7.94/1.73 skc16)
% 7.94/1.73 | (ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X14 @ X13 @ X12 @ X11 @
% 7.94/1.73 X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2))),
% 7.94/1.73 inference('sup-', [status(thm)], [zip_derived_cl1344, zip_derived_cl1164])).
% 7.94/1.73 thf(clause345, conjecture,
% 7.94/1.73 (~( ( ssPv12_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) |
% 7.94/1.73 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 7.94/1.73 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 7.94/1.73 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 7.94/1.73 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 7.94/1.73 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 7.94/1.73 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 7.94/1.73 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 7.94/1.73 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 7.94/1.73 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 7.94/1.73 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.73 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 7.94/1.73 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.73 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 7.94/1.73 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.73 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 7.94/1.73 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.73 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 7.94/1.73 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.73 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 7.94/1.73 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.73 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 7.94/1.73 ( ~( ssPv12_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.73 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 7.94/1.73 X9 @ X10 ) ) ))).
% 7.94/1.73 thf(zf_stmt_35, negated_conjecture,
% 7.94/1.73 (( ssPv12_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) |
% 7.94/1.73 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 7.94/1.73 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 7.94/1.73 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 7.94/1.73 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 7.94/1.73 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 7.94/1.73 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 7.94/1.73 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 7.94/1.73 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 7.94/1.73 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.73 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 7.94/1.73 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.73 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 7.94/1.73 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.73 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 7.94/1.73 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.73 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 7.94/1.73 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.73 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 7.94/1.73 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.73 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 7.94/1.73 ( ~( ssPv12_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.73 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 7.94/1.73 X10 ) )),
% 7.94/1.73 inference('cnf.neg', [status(esa)], [clause345])).
% 7.94/1.73 thf(zip_derived_cl191, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 7.94/1.73 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 7.94/1.73 X14 : $i, X15 : $i]:
% 7.94/1.73 ( (ssPv12_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 7.94/1.73 X7 @ X8)
% 7.94/1.73 | ~ (ssNder1_0)
% 7.94/1.73 | ~ (ssNder1_1r1 @ X0)
% 7.94/1.73 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 7.94/1.73 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 7.94/1.73 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 7.94/1.73 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 7.94/1.73 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 7.94/1.73 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 7.94/1.73 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 7.94/1.73 X7)
% 7.94/1.73 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 7.94/1.73 X6 @ X7 @ X8)
% 7.94/1.73 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 7.94/1.73 X6 @ X7 @ X8 @ X9)
% 7.94/1.73 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 7.94/1.73 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 7.94/1.73 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 7.94/1.73 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 7.94/1.73 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 7.94/1.73 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 7.94/1.73 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 7.94/1.73 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 7.94/1.73 | ~ (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 7.94/1.73 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 7.94/1.73 | ~ (ssPv12_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 7.94/1.73 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15))),
% 7.94/1.73 inference('cnf', [status(esa)], [zf_stmt_35])).
% 7.94/1.73 thf(zip_derived_cl535, plain, ( (ssNder1_0)),
% 7.94/1.73 inference('cnf', [status(esa)], [zf_stmt_1])).
% 7.94/1.73 thf(zip_derived_cl541, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 7.94/1.73 inference('demod', [status(thm)], [zip_derived_cl534, zip_derived_cl535])).
% 7.94/1.73 thf(zip_derived_cl542, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl533, zip_derived_cl535, zip_derived_cl541])).
% 7.94/1.73 thf(zip_derived_cl552, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl525, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542])).
% 7.94/1.73 thf(zip_derived_cl572, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.94/1.73 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl518, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552])).
% 7.94/1.73 thf(zip_derived_cl596, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 7.94/1.73 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl503, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572])).
% 7.94/1.73 thf(zip_derived_cl619, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 7.94/1.73 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl486, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.73 zip_derived_cl596])).
% 7.94/1.73 thf(zip_derived_cl644, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 7.94/1.73 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl471, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.73 zip_derived_cl596, zip_derived_cl619])).
% 7.94/1.73 thf(zip_derived_cl675, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 7.94/1.73 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl449, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.73 zip_derived_cl596, zip_derived_cl619, zip_derived_cl644])).
% 7.94/1.73 thf(zip_derived_cl719, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 7.94/1.73 X7 : $i, X8 : $i]:
% 7.94/1.73 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 7.94/1.73 X7 @ X8)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl425, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.73 zip_derived_cl596, zip_derived_cl619, zip_derived_cl644,
% 7.94/1.73 zip_derived_cl675])).
% 7.94/1.73 thf(zip_derived_cl776, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 7.94/1.73 X7 : $i, X8 : $i, X9 : $i]:
% 7.94/1.73 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 7.94/1.73 X7 @ X8 @ X9)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl397, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.73 zip_derived_cl596, zip_derived_cl619, zip_derived_cl644,
% 7.94/1.73 zip_derived_cl675, zip_derived_cl719])).
% 7.94/1.73 thf(zip_derived_cl822, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 7.94/1.73 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 7.94/1.73 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 7.94/1.73 X6 @ X7 @ X8 @ X9 @ X10)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl370, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.73 zip_derived_cl596, zip_derived_cl619, zip_derived_cl644,
% 7.94/1.73 zip_derived_cl675, zip_derived_cl719, zip_derived_cl776])).
% 7.94/1.73 thf(zip_derived_cl941, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 7.94/1.73 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 7.94/1.73 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 7.94/1.73 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl341, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.73 zip_derived_cl596, zip_derived_cl619, zip_derived_cl644,
% 7.94/1.73 zip_derived_cl675, zip_derived_cl719, zip_derived_cl776,
% 7.94/1.73 zip_derived_cl822])).
% 7.94/1.73 thf(zip_derived_cl986, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 7.94/1.73 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 7.94/1.73 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 7.94/1.73 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl308, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.73 zip_derived_cl596, zip_derived_cl619, zip_derived_cl644,
% 7.94/1.73 zip_derived_cl675, zip_derived_cl719, zip_derived_cl776,
% 7.94/1.73 zip_derived_cl822, zip_derived_cl941])).
% 7.94/1.73 thf(zip_derived_cl1027, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 7.94/1.73 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 7.94/1.73 (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 7.94/1.73 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl278, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.73 zip_derived_cl596, zip_derived_cl619, zip_derived_cl644,
% 7.94/1.73 zip_derived_cl675, zip_derived_cl719, zip_derived_cl776,
% 7.94/1.73 zip_derived_cl822, zip_derived_cl941, zip_derived_cl986])).
% 7.94/1.73 thf(zip_derived_cl1074, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 7.94/1.73 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 7.94/1.73 X14 : $i]:
% 7.94/1.73 (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 7.94/1.73 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl247, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.73 zip_derived_cl596, zip_derived_cl619, zip_derived_cl644,
% 7.94/1.73 zip_derived_cl675, zip_derived_cl719, zip_derived_cl776,
% 7.94/1.73 zip_derived_cl822, zip_derived_cl941, zip_derived_cl986,
% 7.94/1.73 zip_derived_cl1027])).
% 7.94/1.73 thf(zip_derived_cl1133, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 7.94/1.73 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 7.94/1.73 X14 : $i, X15 : $i]:
% 7.94/1.73 ( (ssPv12_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 7.94/1.73 X7 @ X8)
% 7.94/1.73 | ~ (ssPv12_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 7.94/1.73 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15))),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl191, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.73 zip_derived_cl596, zip_derived_cl619, zip_derived_cl644,
% 7.94/1.73 zip_derived_cl675, zip_derived_cl719, zip_derived_cl776,
% 7.94/1.73 zip_derived_cl822, zip_derived_cl941, zip_derived_cl986,
% 7.94/1.73 zip_derived_cl1027, zip_derived_cl1074])).
% 7.94/1.73 thf(zip_derived_cl1347, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 7.94/1.73 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 7.94/1.73 X14 : $i]:
% 7.94/1.73 ( (ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X14 @ X13 @ X12 @ X11 @ X10 @
% 7.94/1.73 X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2)
% 7.94/1.73 | ~ (ssPv14_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X14 @ X13 @ X12 @
% 7.94/1.73 X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @
% 7.94/1.73 skc16)
% 7.94/1.73 | (ssPv12_9r1r1r1r1r1r1r1r1r1 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @
% 7.94/1.73 X8 @ X7 @ X6))),
% 7.94/1.73 inference('sup-', [status(thm)], [zip_derived_cl1346, zip_derived_cl1133])).
% 7.94/1.73 thf(zip_derived_cl1348, plain,
% 7.94/1.73 (![X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i, X8 : $i,
% 7.94/1.73 X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i, X14 : $i]:
% 7.94/1.73 (~ (ssPv14_7r1r1r1r1r1r1r1 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8)
% 7.94/1.73 | (ssPv12_9r1r1r1r1r1r1r1r1r1 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @
% 7.94/1.73 X8 @ X7 @ X6)
% 7.94/1.73 | (ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X14 @ X13 @ X12 @ X11 @
% 7.94/1.73 X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2))),
% 7.94/1.73 inference('sup-', [status(thm)], [zip_derived_cl1148, zip_derived_cl1347])).
% 7.94/1.73 thf(clause197, conjecture,
% 7.94/1.73 (~( ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 7.94/1.73 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 7.94/1.73 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 7.94/1.73 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 7.94/1.73 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 7.94/1.73 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 7.94/1.73 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 7.94/1.73 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 7.94/1.73 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 7.94/1.73 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.73 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 7.94/1.73 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.73 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 7.94/1.73 ( ~( ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.73 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ skc23 ) ) ))).
% 7.94/1.73 thf(zf_stmt_36, negated_conjecture,
% 7.94/1.73 (( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 7.94/1.73 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 7.94/1.73 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 7.94/1.73 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 7.94/1.73 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 7.94/1.73 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 7.94/1.73 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 7.94/1.73 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 7.94/1.73 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.73 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 7.94/1.73 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.73 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 7.94/1.73 ( ~( ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.73 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ skc23 ) )),
% 7.94/1.73 inference('cnf.neg', [status(esa)], [clause197])).
% 7.94/1.73 thf(zip_derived_cl339, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 7.94/1.73 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 7.94/1.73 (~ (ssNder1_0)
% 7.94/1.73 | ~ (ssNder1_1r1 @ X0)
% 7.94/1.73 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 7.94/1.73 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 7.94/1.73 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 7.94/1.73 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 7.94/1.73 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 7.94/1.73 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 7.94/1.73 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 7.94/1.73 X7)
% 7.94/1.73 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 7.94/1.73 X6 @ X7 @ X8)
% 7.94/1.73 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 7.94/1.73 X6 @ X7 @ X8 @ X9)
% 7.94/1.73 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 7.94/1.73 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 7.94/1.73 | ~ (ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 7.94/1.73 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ skc23))),
% 7.94/1.73 inference('cnf', [status(esa)], [zf_stmt_36])).
% 7.94/1.73 thf(zip_derived_cl535, plain, ( (ssNder1_0)),
% 7.94/1.73 inference('cnf', [status(esa)], [zf_stmt_1])).
% 7.94/1.73 thf(zip_derived_cl541, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 7.94/1.73 inference('demod', [status(thm)], [zip_derived_cl534, zip_derived_cl535])).
% 7.94/1.73 thf(zip_derived_cl542, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl533, zip_derived_cl535, zip_derived_cl541])).
% 7.94/1.73 thf(zip_derived_cl552, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl525, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542])).
% 7.94/1.73 thf(zip_derived_cl572, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.94/1.73 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl518, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552])).
% 7.94/1.73 thf(zip_derived_cl596, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 7.94/1.73 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl503, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572])).
% 7.94/1.73 thf(zip_derived_cl619, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 7.94/1.73 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl486, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.73 zip_derived_cl596])).
% 7.94/1.73 thf(zip_derived_cl623, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 7.94/1.73 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 7.94/1.73 (~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 7.94/1.73 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 7.94/1.73 X7)
% 7.94/1.73 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 7.94/1.73 X6 @ X7 @ X8)
% 7.94/1.73 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 7.94/1.73 X6 @ X7 @ X8 @ X9)
% 7.94/1.73 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 7.94/1.73 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 7.94/1.73 | ~ (ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 7.94/1.73 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ skc23))),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl339, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.73 zip_derived_cl596, zip_derived_cl619])).
% 7.94/1.73 thf(zip_derived_cl644, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 7.94/1.73 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 7.94/1.73 inference('demod', [status(thm)],
% 7.94/1.73 [zip_derived_cl471, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.73 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.73 zip_derived_cl596, zip_derived_cl619])).
% 7.94/1.73 thf(zip_derived_cl646, plain,
% 7.94/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 7.94/1.73 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 7.94/1.73 (~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)
% 7.94/1.74 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 7.94/1.74 X6 @ X7 @ X8)
% 7.94/1.74 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 7.94/1.74 X6 @ X7 @ X8 @ X9)
% 7.94/1.74 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 7.94/1.74 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 7.94/1.74 | ~ (ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 7.94/1.74 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ skc23))),
% 7.94/1.74 inference('demod', [status(thm)], [zip_derived_cl623, zip_derived_cl644])).
% 7.94/1.74 thf(zip_derived_cl675, plain,
% 7.94/1.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 7.94/1.74 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 7.94/1.74 inference('demod', [status(thm)],
% 7.94/1.74 [zip_derived_cl449, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.74 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.74 zip_derived_cl596, zip_derived_cl619, zip_derived_cl644])).
% 7.94/1.74 thf(zip_derived_cl677, plain,
% 7.94/1.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 7.94/1.74 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 7.94/1.74 (~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 7.94/1.74 X7 @ X8)
% 7.94/1.74 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 7.94/1.74 X6 @ X7 @ X8 @ X9)
% 7.94/1.74 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 7.94/1.74 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 7.94/1.74 | ~ (ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 7.94/1.74 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ skc23))),
% 7.94/1.74 inference('demod', [status(thm)], [zip_derived_cl646, zip_derived_cl675])).
% 7.94/1.74 thf(zip_derived_cl719, plain,
% 7.94/1.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 7.94/1.74 X7 : $i, X8 : $i]:
% 7.94/1.74 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 7.94/1.74 X7 @ X8)),
% 7.94/1.74 inference('demod', [status(thm)],
% 7.94/1.74 [zip_derived_cl425, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.74 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.74 zip_derived_cl596, zip_derived_cl619, zip_derived_cl644,
% 7.94/1.74 zip_derived_cl675])).
% 7.94/1.74 thf(zip_derived_cl720, plain,
% 7.94/1.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 7.94/1.74 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 7.94/1.74 (~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 7.94/1.74 X6 @ X7 @ X8 @ X9)
% 7.94/1.74 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 7.94/1.74 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 7.94/1.74 | ~ (ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 7.94/1.74 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ skc23))),
% 7.94/1.74 inference('demod', [status(thm)], [zip_derived_cl677, zip_derived_cl719])).
% 7.94/1.74 thf(zip_derived_cl776, plain,
% 7.94/1.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 7.94/1.74 X7 : $i, X8 : $i, X9 : $i]:
% 7.94/1.74 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 7.94/1.74 X7 @ X8 @ X9)),
% 7.94/1.74 inference('demod', [status(thm)],
% 7.94/1.74 [zip_derived_cl397, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.74 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.74 zip_derived_cl596, zip_derived_cl619, zip_derived_cl644,
% 7.94/1.74 zip_derived_cl675, zip_derived_cl719])).
% 7.94/1.74 thf(zip_derived_cl777, plain,
% 7.94/1.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 7.94/1.74 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 7.94/1.74 (~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 7.94/1.74 X6 @ X7 @ X8 @ X9 @ X10)
% 7.94/1.74 | ~ (ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 7.94/1.74 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ skc23))),
% 7.94/1.74 inference('demod', [status(thm)], [zip_derived_cl720, zip_derived_cl776])).
% 7.94/1.74 thf(zip_derived_cl822, plain,
% 7.94/1.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 7.94/1.74 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 7.94/1.74 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 7.94/1.74 X6 @ X7 @ X8 @ X9 @ X10)),
% 7.94/1.74 inference('demod', [status(thm)],
% 7.94/1.74 [zip_derived_cl370, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.74 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.74 zip_derived_cl596, zip_derived_cl619, zip_derived_cl644,
% 7.94/1.74 zip_derived_cl675, zip_derived_cl719, zip_derived_cl776])).
% 7.94/1.74 thf(zip_derived_cl823, plain,
% 7.94/1.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 7.94/1.74 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 7.94/1.74 ~ (ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 7.94/1.74 X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ skc23)),
% 7.94/1.74 inference('demod', [status(thm)], [zip_derived_cl777, zip_derived_cl822])).
% 7.94/1.74 thf(zip_derived_cl1349, plain,
% 7.94/1.74 (![X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i, X8 : $i, X9 : $i,
% 7.94/1.74 X10 : $i, X11 : $i]:
% 7.94/1.74 ( (ssPv12_9r1r1r1r1r1r1r1r1r1 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @
% 7.94/1.74 X4 @ X3)
% 7.94/1.74 | ~ (ssPv14_7r1r1r1r1r1r1r1 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5))),
% 7.94/1.74 inference('sup-', [status(thm)], [zip_derived_cl1348, zip_derived_cl823])).
% 7.94/1.74 thf(clause190, conjecture,
% 7.94/1.74 (~( ( ssPv13_11r1r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) |
% 7.94/1.74 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 7.94/1.74 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 7.94/1.74 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 7.94/1.74 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 7.94/1.74 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 7.94/1.74 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 7.94/1.74 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 7.94/1.74 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 7.94/1.74 ( ~( ssPv13_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 7.94/1.74 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 7.94/1.74 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) ))).
% 7.94/1.74 thf(zf_stmt_37, negated_conjecture,
% 7.94/1.74 (( ssPv13_11r1r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) |
% 7.94/1.74 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 7.94/1.74 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 7.94/1.74 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 7.94/1.74 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 7.94/1.74 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 7.94/1.74 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 7.94/1.74 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 7.94/1.74 ( ~( ssPv13_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 7.94/1.74 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 7.94/1.74 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) )),
% 7.94/1.74 inference('cnf.neg', [status(esa)], [clause190])).
% 7.94/1.74 thf(zip_derived_cl346, plain,
% 7.94/1.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 7.94/1.74 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 7.94/1.74 ( (ssPv13_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 7.94/1.74 X6 @ X7 @ X8 @ X9 @ X10)
% 7.94/1.74 | ~ (ssNder1_0)
% 7.94/1.74 | ~ (ssNder1_1r1 @ X0)
% 7.94/1.74 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 7.94/1.74 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 7.94/1.74 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 7.94/1.74 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 7.94/1.74 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 7.94/1.74 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 7.94/1.74 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 7.94/1.74 X7)
% 7.94/1.74 | ~ (ssPv13_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)
% 7.94/1.74 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 7.94/1.74 X6 @ X7 @ X8)
% 7.94/1.74 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 7.94/1.74 X6 @ X7 @ X8 @ X9))),
% 7.94/1.74 inference('cnf', [status(esa)], [zf_stmt_37])).
% 7.94/1.74 thf(zip_derived_cl535, plain, ( (ssNder1_0)),
% 7.94/1.74 inference('cnf', [status(esa)], [zf_stmt_1])).
% 7.94/1.74 thf(zip_derived_cl541, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 7.94/1.74 inference('demod', [status(thm)], [zip_derived_cl534, zip_derived_cl535])).
% 7.94/1.74 thf(zip_derived_cl542, plain,
% 7.94/1.74 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 7.94/1.74 inference('demod', [status(thm)],
% 7.94/1.74 [zip_derived_cl533, zip_derived_cl535, zip_derived_cl541])).
% 7.94/1.74 thf(zip_derived_cl552, plain,
% 7.94/1.74 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 7.94/1.74 inference('demod', [status(thm)],
% 7.94/1.74 [zip_derived_cl525, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.74 zip_derived_cl542])).
% 7.94/1.74 thf(zip_derived_cl572, plain,
% 7.94/1.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.94/1.74 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 7.94/1.74 inference('demod', [status(thm)],
% 7.94/1.74 [zip_derived_cl518, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.74 zip_derived_cl542, zip_derived_cl552])).
% 7.94/1.74 thf(zip_derived_cl596, plain,
% 7.94/1.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 7.94/1.74 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 7.94/1.74 inference('demod', [status(thm)],
% 7.94/1.74 [zip_derived_cl503, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.74 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572])).
% 7.94/1.74 thf(zip_derived_cl619, plain,
% 7.94/1.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 7.94/1.74 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 7.94/1.74 inference('demod', [status(thm)],
% 7.94/1.74 [zip_derived_cl486, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.74 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.74 zip_derived_cl596])).
% 7.94/1.74 thf(zip_derived_cl644, plain,
% 7.94/1.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 7.94/1.74 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 7.94/1.74 inference('demod', [status(thm)],
% 7.94/1.74 [zip_derived_cl471, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.74 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.74 zip_derived_cl596, zip_derived_cl619])).
% 7.94/1.74 thf(zip_derived_cl675, plain,
% 7.94/1.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 7.94/1.74 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 7.94/1.74 inference('demod', [status(thm)],
% 7.94/1.74 [zip_derived_cl449, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.74 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.74 zip_derived_cl596, zip_derived_cl619, zip_derived_cl644])).
% 7.94/1.74 thf(zip_derived_cl719, plain,
% 7.94/1.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 7.94/1.74 X7 : $i, X8 : $i]:
% 7.94/1.74 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 7.94/1.74 X7 @ X8)),
% 7.94/1.74 inference('demod', [status(thm)],
% 7.94/1.74 [zip_derived_cl425, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.74 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.74 zip_derived_cl596, zip_derived_cl619, zip_derived_cl644,
% 7.94/1.74 zip_derived_cl675])).
% 7.94/1.74 thf(zip_derived_cl776, plain,
% 7.94/1.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 7.94/1.74 X7 : $i, X8 : $i, X9 : $i]:
% 7.94/1.74 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 7.94/1.74 X7 @ X8 @ X9)),
% 7.94/1.74 inference('demod', [status(thm)],
% 7.94/1.74 [zip_derived_cl397, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.74 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.74 zip_derived_cl596, zip_derived_cl619, zip_derived_cl644,
% 7.94/1.74 zip_derived_cl675, zip_derived_cl719])).
% 7.94/1.74 thf(zip_derived_cl932, plain,
% 7.94/1.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 7.94/1.74 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 7.94/1.74 ( (ssPv13_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 7.94/1.74 X6 @ X7 @ X8 @ X9 @ X10)
% 7.94/1.74 | ~ (ssPv13_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7))),
% 7.94/1.74 inference('demod', [status(thm)],
% 7.94/1.74 [zip_derived_cl346, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.74 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.74 zip_derived_cl596, zip_derived_cl619, zip_derived_cl644,
% 7.94/1.74 zip_derived_cl675, zip_derived_cl719, zip_derived_cl776])).
% 7.94/1.74 thf(clause191, conjecture,
% 7.94/1.74 (~( ( ssPv12_11r1r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) |
% 7.94/1.74 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 7.94/1.74 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 7.94/1.74 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 7.94/1.74 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 7.94/1.74 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 7.94/1.74 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 7.94/1.74 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 7.94/1.74 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 7.94/1.74 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 7.94/1.74 ( ~( ssPv12_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 7.94/1.74 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) ))).
% 7.94/1.74 thf(zf_stmt_38, negated_conjecture,
% 7.94/1.74 (( ssPv12_11r1r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) |
% 7.94/1.74 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 7.94/1.74 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 7.94/1.74 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 7.94/1.74 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 7.94/1.74 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 7.94/1.74 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 7.94/1.74 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 7.94/1.74 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 7.94/1.74 ( ~( ssPv12_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 7.94/1.74 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) )),
% 7.94/1.74 inference('cnf.neg', [status(esa)], [clause191])).
% 7.94/1.74 thf(zip_derived_cl345, plain,
% 7.94/1.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 7.94/1.74 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 7.94/1.74 ( (ssPv12_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 7.94/1.74 X6 @ X7 @ X8 @ X9 @ X10)
% 7.94/1.74 | ~ (ssNder1_0)
% 7.94/1.74 | ~ (ssNder1_1r1 @ X0)
% 7.94/1.74 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 7.94/1.74 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 7.94/1.74 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 7.94/1.74 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 7.94/1.74 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 7.94/1.74 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 7.94/1.74 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 7.94/1.74 X7)
% 7.94/1.74 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 7.94/1.74 X6 @ X7 @ X8)
% 7.94/1.74 | ~ (ssPv12_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 7.94/1.74 X7 @ X8)
% 7.94/1.74 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 7.94/1.74 X6 @ X7 @ X8 @ X9))),
% 7.94/1.74 inference('cnf', [status(esa)], [zf_stmt_38])).
% 7.94/1.74 thf(zip_derived_cl535, plain, ( (ssNder1_0)),
% 7.94/1.74 inference('cnf', [status(esa)], [zf_stmt_1])).
% 7.94/1.74 thf(zip_derived_cl541, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 7.94/1.74 inference('demod', [status(thm)], [zip_derived_cl534, zip_derived_cl535])).
% 7.94/1.74 thf(zip_derived_cl542, plain,
% 7.94/1.74 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 7.94/1.74 inference('demod', [status(thm)],
% 7.94/1.74 [zip_derived_cl533, zip_derived_cl535, zip_derived_cl541])).
% 7.94/1.74 thf(zip_derived_cl552, plain,
% 7.94/1.74 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 7.94/1.74 inference('demod', [status(thm)],
% 7.94/1.74 [zip_derived_cl525, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.74 zip_derived_cl542])).
% 7.94/1.74 thf(zip_derived_cl572, plain,
% 7.94/1.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.94/1.74 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 7.94/1.74 inference('demod', [status(thm)],
% 7.94/1.74 [zip_derived_cl518, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.74 zip_derived_cl542, zip_derived_cl552])).
% 7.94/1.74 thf(zip_derived_cl596, plain,
% 7.94/1.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 7.94/1.74 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 7.94/1.74 inference('demod', [status(thm)],
% 7.94/1.74 [zip_derived_cl503, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.74 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572])).
% 7.94/1.74 thf(zip_derived_cl619, plain,
% 7.94/1.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 7.94/1.74 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 7.94/1.74 inference('demod', [status(thm)],
% 7.94/1.74 [zip_derived_cl486, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.74 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.74 zip_derived_cl596])).
% 7.94/1.74 thf(zip_derived_cl644, plain,
% 7.94/1.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 7.94/1.74 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 7.94/1.74 inference('demod', [status(thm)],
% 7.94/1.74 [zip_derived_cl471, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.74 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.74 zip_derived_cl596, zip_derived_cl619])).
% 7.94/1.74 thf(zip_derived_cl675, plain,
% 7.94/1.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 7.94/1.74 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 7.94/1.74 inference('demod', [status(thm)],
% 7.94/1.74 [zip_derived_cl449, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.74 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.74 zip_derived_cl596, zip_derived_cl619, zip_derived_cl644])).
% 7.94/1.74 thf(zip_derived_cl719, plain,
% 7.94/1.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 7.94/1.74 X7 : $i, X8 : $i]:
% 7.94/1.74 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 7.94/1.74 X7 @ X8)),
% 7.94/1.74 inference('demod', [status(thm)],
% 7.94/1.74 [zip_derived_cl425, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.74 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.74 zip_derived_cl596, zip_derived_cl619, zip_derived_cl644,
% 7.94/1.74 zip_derived_cl675])).
% 7.94/1.74 thf(zip_derived_cl776, plain,
% 7.94/1.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 7.94/1.74 X7 : $i, X8 : $i, X9 : $i]:
% 7.94/1.74 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 7.94/1.74 X7 @ X8 @ X9)),
% 7.94/1.74 inference('demod', [status(thm)],
% 7.94/1.74 [zip_derived_cl397, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.74 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.74 zip_derived_cl596, zip_derived_cl619, zip_derived_cl644,
% 7.94/1.74 zip_derived_cl675, zip_derived_cl719])).
% 7.94/1.74 thf(zip_derived_cl936, plain,
% 7.94/1.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 7.94/1.74 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 7.94/1.74 ( (ssPv12_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 7.94/1.74 X6 @ X7 @ X8 @ X9 @ X10)
% 7.94/1.74 | ~ (ssPv12_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 7.94/1.74 X7 @ X8))),
% 7.94/1.74 inference('demod', [status(thm)],
% 7.94/1.74 [zip_derived_cl345, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.74 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.74 zip_derived_cl596, zip_derived_cl619, zip_derived_cl644,
% 7.94/1.74 zip_derived_cl675, zip_derived_cl719, zip_derived_cl776])).
% 7.94/1.74 thf(clause246, conjecture,
% 7.94/1.74 (~( ( ssPv15_11r1r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) |
% 7.94/1.74 ( ssPv10_11r1r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) |
% 7.94/1.74 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 7.94/1.74 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 7.94/1.74 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 7.94/1.74 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 7.94/1.74 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 7.94/1.74 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 7.94/1.74 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 7.94/1.74 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 7.94/1.74 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 7.94/1.74 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 7.94/1.74 ( ~( ssPv13_11r1r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 7.94/1.74 ( ~( ssPv12_11r1r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) ))).
% 7.94/1.74 thf(zf_stmt_39, negated_conjecture,
% 7.94/1.74 (( ssPv15_11r1r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) |
% 7.94/1.74 ( ssPv10_11r1r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) |
% 7.94/1.74 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 7.94/1.74 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 7.94/1.74 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 7.94/1.74 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 7.94/1.74 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 7.94/1.74 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 7.94/1.74 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 7.94/1.74 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 7.94/1.74 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 7.94/1.74 ( ~( ssPv13_11r1r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 7.94/1.74 ( ~( ssPv12_11r1r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) )),
% 7.94/1.74 inference('cnf.neg', [status(esa)], [clause246])).
% 7.94/1.74 thf(zip_derived_cl290, plain,
% 7.94/1.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 7.94/1.74 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 7.94/1.74 ( (ssPv15_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 7.94/1.74 X6 @ X7 @ X8 @ X9 @ X10)
% 7.94/1.74 | (ssPv10_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 7.94/1.74 X6 @ X7 @ X8 @ X9 @ X10)
% 7.94/1.74 | ~ (ssNder1_0)
% 7.94/1.74 | ~ (ssNder1_1r1 @ X0)
% 7.94/1.74 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 7.94/1.74 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 7.94/1.74 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 7.94/1.74 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 7.94/1.74 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 7.94/1.74 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 7.94/1.74 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 7.94/1.74 X7)
% 7.94/1.74 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 7.94/1.74 X6 @ X7 @ X8)
% 7.94/1.74 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 7.94/1.74 X6 @ X7 @ X8 @ X9)
% 7.94/1.74 | ~ (ssPv13_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 7.94/1.74 X6 @ X7 @ X8 @ X9 @ X10)
% 7.94/1.74 | ~ (ssPv12_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 7.94/1.74 X6 @ X7 @ X8 @ X9 @ X10))),
% 7.94/1.74 inference('cnf', [status(esa)], [zf_stmt_39])).
% 7.94/1.74 thf(zip_derived_cl535, plain, ( (ssNder1_0)),
% 7.94/1.74 inference('cnf', [status(esa)], [zf_stmt_1])).
% 7.94/1.74 thf(zip_derived_cl541, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 7.94/1.74 inference('demod', [status(thm)], [zip_derived_cl534, zip_derived_cl535])).
% 7.94/1.74 thf(zip_derived_cl542, plain,
% 7.94/1.74 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 7.94/1.74 inference('demod', [status(thm)],
% 7.94/1.74 [zip_derived_cl533, zip_derived_cl535, zip_derived_cl541])).
% 7.94/1.74 thf(zip_derived_cl552, plain,
% 7.94/1.74 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 7.94/1.74 inference('demod', [status(thm)],
% 7.94/1.74 [zip_derived_cl525, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.74 zip_derived_cl542])).
% 7.94/1.74 thf(zip_derived_cl572, plain,
% 7.94/1.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.94/1.74 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 7.94/1.74 inference('demod', [status(thm)],
% 7.94/1.74 [zip_derived_cl518, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.74 zip_derived_cl542, zip_derived_cl552])).
% 7.94/1.74 thf(zip_derived_cl596, plain,
% 7.94/1.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 7.94/1.74 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 7.94/1.74 inference('demod', [status(thm)],
% 7.94/1.74 [zip_derived_cl503, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.74 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572])).
% 7.94/1.74 thf(zip_derived_cl619, plain,
% 7.94/1.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 7.94/1.74 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 7.94/1.74 inference('demod', [status(thm)],
% 7.94/1.74 [zip_derived_cl486, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.74 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.74 zip_derived_cl596])).
% 7.94/1.74 thf(zip_derived_cl644, plain,
% 7.94/1.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 7.94/1.74 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 7.94/1.74 inference('demod', [status(thm)],
% 7.94/1.74 [zip_derived_cl471, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.74 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.74 zip_derived_cl596, zip_derived_cl619])).
% 7.94/1.74 thf(zip_derived_cl675, plain,
% 7.94/1.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 7.94/1.74 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 7.94/1.74 inference('demod', [status(thm)],
% 7.94/1.74 [zip_derived_cl449, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.74 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.74 zip_derived_cl596, zip_derived_cl619, zip_derived_cl644])).
% 7.94/1.74 thf(zip_derived_cl719, plain,
% 7.94/1.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 7.94/1.74 X7 : $i, X8 : $i]:
% 7.94/1.74 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 7.94/1.74 X7 @ X8)),
% 7.94/1.74 inference('demod', [status(thm)],
% 7.94/1.74 [zip_derived_cl425, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.74 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.74 zip_derived_cl596, zip_derived_cl619, zip_derived_cl644,
% 7.94/1.74 zip_derived_cl675])).
% 7.94/1.74 thf(zip_derived_cl776, plain,
% 7.94/1.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 7.94/1.74 X7 : $i, X8 : $i, X9 : $i]:
% 7.94/1.74 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 7.94/1.74 X7 @ X8 @ X9)),
% 7.94/1.74 inference('demod', [status(thm)],
% 7.94/1.74 [zip_derived_cl397, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.74 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.74 zip_derived_cl596, zip_derived_cl619, zip_derived_cl644,
% 7.94/1.74 zip_derived_cl675, zip_derived_cl719])).
% 7.94/1.74 thf(zip_derived_cl991, plain,
% 7.94/1.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 7.94/1.74 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 7.94/1.74 ( (ssPv15_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 7.94/1.74 X6 @ X7 @ X8 @ X9 @ X10)
% 7.94/1.74 | (ssPv10_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 7.94/1.74 X6 @ X7 @ X8 @ X9 @ X10)
% 7.94/1.74 | ~ (ssPv13_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 7.94/1.74 X6 @ X7 @ X8 @ X9 @ X10)
% 7.94/1.74 | ~ (ssPv12_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 7.94/1.74 X6 @ X7 @ X8 @ X9 @ X10))),
% 7.94/1.74 inference('demod', [status(thm)],
% 7.94/1.74 [zip_derived_cl290, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.74 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.74 zip_derived_cl596, zip_derived_cl619, zip_derived_cl644,
% 7.94/1.74 zip_derived_cl675, zip_derived_cl719, zip_derived_cl776])).
% 7.94/1.74 thf(clause320, conjecture,
% 7.94/1.74 (~( ( ssPv10_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) |
% 7.94/1.74 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 7.94/1.74 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 7.94/1.74 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 7.94/1.74 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 7.94/1.74 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 7.94/1.74 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 7.94/1.74 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 7.94/1.74 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 7.94/1.74 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 7.94/1.74 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 7.94/1.74 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 7.94/1.74 ( ~( ssPv10_11r1r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 7.94/1.74 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 7.94/1.74 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 7.94/1.74 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) ))).
% 7.94/1.74 thf(zf_stmt_40, negated_conjecture,
% 7.94/1.74 (( ssPv10_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) |
% 7.94/1.74 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 7.94/1.74 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 7.94/1.74 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 7.94/1.74 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 7.94/1.74 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 7.94/1.74 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 7.94/1.74 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 7.94/1.74 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 7.94/1.74 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 7.94/1.74 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 7.94/1.74 ( ~( ssPv10_11r1r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 7.94/1.74 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 7.94/1.74 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 7.94/1.74 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) )),
% 7.94/1.74 inference('cnf.neg', [status(esa)], [clause320])).
% 7.94/1.74 thf(zip_derived_cl216, plain,
% 7.94/1.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 7.94/1.74 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 7.94/1.74 X14 : $i]:
% 7.94/1.74 ( (ssPv10_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 7.94/1.74 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 7.94/1.74 | ~ (ssNder1_0)
% 7.94/1.74 | ~ (ssNder1_1r1 @ X0)
% 7.94/1.74 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 7.94/1.74 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 7.94/1.74 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 7.94/1.74 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 7.94/1.74 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 7.94/1.74 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 7.94/1.74 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 7.94/1.74 X7)
% 7.94/1.74 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 7.94/1.74 X6 @ X7 @ X8)
% 7.94/1.74 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 7.94/1.74 X6 @ X7 @ X8 @ X9)
% 7.94/1.74 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 7.94/1.74 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 7.94/1.74 | ~ (ssPv10_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 7.94/1.74 X6 @ X7 @ X8 @ X9 @ X10)
% 7.94/1.74 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 7.94/1.74 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 7.94/1.74 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 7.94/1.74 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 7.94/1.74 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 7.94/1.74 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13))),
% 7.94/1.74 inference('cnf', [status(esa)], [zf_stmt_40])).
% 7.94/1.74 thf(zip_derived_cl535, plain, ( (ssNder1_0)),
% 7.94/1.74 inference('cnf', [status(esa)], [zf_stmt_1])).
% 7.94/1.74 thf(zip_derived_cl541, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 7.94/1.74 inference('demod', [status(thm)], [zip_derived_cl534, zip_derived_cl535])).
% 7.94/1.74 thf(zip_derived_cl542, plain,
% 7.94/1.74 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 7.94/1.74 inference('demod', [status(thm)],
% 7.94/1.74 [zip_derived_cl533, zip_derived_cl535, zip_derived_cl541])).
% 7.94/1.74 thf(zip_derived_cl552, plain,
% 7.94/1.74 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 7.94/1.74 inference('demod', [status(thm)],
% 7.94/1.74 [zip_derived_cl525, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.74 zip_derived_cl542])).
% 7.94/1.74 thf(zip_derived_cl572, plain,
% 7.94/1.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.94/1.74 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 7.94/1.74 inference('demod', [status(thm)],
% 7.94/1.74 [zip_derived_cl518, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.74 zip_derived_cl542, zip_derived_cl552])).
% 7.94/1.74 thf(zip_derived_cl596, plain,
% 7.94/1.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 7.94/1.74 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 7.94/1.74 inference('demod', [status(thm)],
% 7.94/1.74 [zip_derived_cl503, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.74 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572])).
% 7.94/1.74 thf(zip_derived_cl619, plain,
% 7.94/1.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 7.94/1.74 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 7.94/1.74 inference('demod', [status(thm)],
% 7.94/1.74 [zip_derived_cl486, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.74 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.74 zip_derived_cl596])).
% 7.94/1.74 thf(zip_derived_cl644, plain,
% 7.94/1.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 7.94/1.74 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 7.94/1.74 inference('demod', [status(thm)],
% 7.94/1.74 [zip_derived_cl471, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.74 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.74 zip_derived_cl596, zip_derived_cl619])).
% 7.94/1.74 thf(zip_derived_cl675, plain,
% 7.94/1.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 7.94/1.74 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 7.94/1.74 inference('demod', [status(thm)],
% 7.94/1.74 [zip_derived_cl449, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.74 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.74 zip_derived_cl596, zip_derived_cl619, zip_derived_cl644])).
% 7.94/1.74 thf(zip_derived_cl719, plain,
% 7.94/1.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 7.94/1.74 X7 : $i, X8 : $i]:
% 7.94/1.74 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 7.94/1.74 X7 @ X8)),
% 7.94/1.74 inference('demod', [status(thm)],
% 7.94/1.74 [zip_derived_cl425, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.74 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.74 zip_derived_cl596, zip_derived_cl619, zip_derived_cl644,
% 7.94/1.74 zip_derived_cl675])).
% 7.94/1.74 thf(zip_derived_cl776, plain,
% 7.94/1.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 7.94/1.74 X7 : $i, X8 : $i, X9 : $i]:
% 7.94/1.74 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 7.94/1.74 X7 @ X8 @ X9)),
% 7.94/1.74 inference('demod', [status(thm)],
% 7.94/1.74 [zip_derived_cl397, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.74 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.74 zip_derived_cl596, zip_derived_cl619, zip_derived_cl644,
% 7.94/1.74 zip_derived_cl675, zip_derived_cl719])).
% 7.94/1.74 thf(zip_derived_cl822, plain,
% 7.94/1.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 7.94/1.74 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 7.94/1.74 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 7.94/1.74 X6 @ X7 @ X8 @ X9 @ X10)),
% 7.94/1.74 inference('demod', [status(thm)],
% 7.94/1.74 [zip_derived_cl370, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.74 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.74 zip_derived_cl596, zip_derived_cl619, zip_derived_cl644,
% 7.94/1.74 zip_derived_cl675, zip_derived_cl719, zip_derived_cl776])).
% 7.94/1.74 thf(zip_derived_cl941, plain,
% 7.94/1.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 7.94/1.74 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 7.94/1.74 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 7.94/1.74 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 7.94/1.74 inference('demod', [status(thm)],
% 7.94/1.74 [zip_derived_cl341, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.74 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.74 zip_derived_cl596, zip_derived_cl619, zip_derived_cl644,
% 7.94/1.74 zip_derived_cl675, zip_derived_cl719, zip_derived_cl776,
% 7.94/1.74 zip_derived_cl822])).
% 7.94/1.74 thf(zip_derived_cl986, plain,
% 7.94/1.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 7.94/1.74 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 7.94/1.74 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 7.94/1.74 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 7.94/1.74 inference('demod', [status(thm)],
% 7.94/1.74 [zip_derived_cl308, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.74 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.74 zip_derived_cl596, zip_derived_cl619, zip_derived_cl644,
% 7.94/1.74 zip_derived_cl675, zip_derived_cl719, zip_derived_cl776,
% 7.94/1.74 zip_derived_cl822, zip_derived_cl941])).
% 7.94/1.74 thf(zip_derived_cl1027, plain,
% 7.94/1.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 7.94/1.74 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 7.94/1.74 (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 7.94/1.74 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)),
% 7.94/1.74 inference('demod', [status(thm)],
% 7.94/1.74 [zip_derived_cl278, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.74 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.74 zip_derived_cl596, zip_derived_cl619, zip_derived_cl644,
% 7.94/1.74 zip_derived_cl675, zip_derived_cl719, zip_derived_cl776,
% 7.94/1.74 zip_derived_cl822, zip_derived_cl941, zip_derived_cl986])).
% 7.94/1.74 thf(zip_derived_cl1114, plain,
% 7.94/1.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 7.94/1.74 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 7.94/1.74 X14 : $i]:
% 7.94/1.74 ( (ssPv10_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 7.94/1.74 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 7.94/1.74 | ~ (ssPv10_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 7.94/1.74 X6 @ X7 @ X8 @ X9 @ X10))),
% 7.94/1.74 inference('demod', [status(thm)],
% 7.94/1.74 [zip_derived_cl216, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.74 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.74 zip_derived_cl596, zip_derived_cl619, zip_derived_cl644,
% 7.94/1.74 zip_derived_cl675, zip_derived_cl719, zip_derived_cl776,
% 7.94/1.74 zip_derived_cl822, zip_derived_cl941, zip_derived_cl986,
% 7.94/1.74 zip_derived_cl1027])).
% 7.94/1.74 thf(clause385, conjecture,
% 7.94/1.74 (~( ( ssPv20_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) |
% 7.94/1.74 ( ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) |
% 7.94/1.74 ( ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) |
% 7.94/1.74 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 7.94/1.74 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 7.94/1.74 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 7.94/1.74 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 7.94/1.74 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 7.94/1.74 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 7.94/1.74 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 7.94/1.74 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 7.94/1.74 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 7.94/1.74 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 7.94/1.74 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 7.94/1.74 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 7.94/1.74 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 7.94/1.74 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 7.94/1.74 ( ~( ssPv10_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) ))).
% 7.94/1.74 thf(zf_stmt_41, negated_conjecture,
% 7.94/1.74 (( ssPv20_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) |
% 7.94/1.74 ( ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) |
% 7.94/1.74 ( ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) |
% 7.94/1.74 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 7.94/1.74 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 7.94/1.74 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 7.94/1.74 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 7.94/1.74 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 7.94/1.74 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 7.94/1.74 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 7.94/1.74 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 7.94/1.74 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 7.94/1.74 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 7.94/1.74 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 7.94/1.74 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 7.94/1.74 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 7.94/1.74 ( ~( ssPv10_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) )),
% 7.94/1.74 inference('cnf.neg', [status(esa)], [clause385])).
% 7.94/1.74 thf(zip_derived_cl151, plain,
% 7.94/1.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 7.94/1.74 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 7.94/1.74 X14 : $i]:
% 7.94/1.74 ( (ssPv20_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 7.94/1.74 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 7.94/1.74 | (ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 7.94/1.74 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 7.94/1.74 | (ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 7.94/1.74 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 7.94/1.74 | ~ (ssNder1_0)
% 7.94/1.74 | ~ (ssNder1_1r1 @ X0)
% 7.94/1.74 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 7.94/1.74 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 7.94/1.74 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 7.94/1.74 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 7.94/1.74 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 7.94/1.74 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 7.94/1.74 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 7.94/1.74 X7)
% 7.94/1.74 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 7.94/1.74 X6 @ X7 @ X8)
% 7.94/1.74 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 7.94/1.74 X6 @ X7 @ X8 @ X9)
% 7.94/1.74 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 7.94/1.74 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 7.94/1.74 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 7.94/1.74 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 7.94/1.74 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 7.94/1.74 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 7.94/1.74 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 7.94/1.74 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 7.94/1.74 | ~ (ssPv10_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 7.94/1.74 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14))),
% 7.94/1.74 inference('cnf', [status(esa)], [zf_stmt_41])).
% 7.94/1.74 thf(clause292, conjecture,
% 7.94/1.74 (~( ( ssPv20_1r1 @ U ) | ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 7.94/1.74 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 7.94/1.74 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 7.94/1.74 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 7.94/1.74 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 7.94/1.74 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 7.94/1.74 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 7.94/1.74 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 7.94/1.74 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 7.94/1.74 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 7.94/1.74 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 7.94/1.74 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 7.94/1.74 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 7.94/1.74 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 7.94/1.74 ( ~( ssPv20_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) ))).
% 7.94/1.74 thf(zf_stmt_42, negated_conjecture,
% 7.94/1.74 (( ssPv20_1r1 @ U ) | ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 7.94/1.74 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 7.94/1.74 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 7.94/1.74 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 7.94/1.74 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 7.94/1.74 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 7.94/1.74 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 7.94/1.74 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 7.94/1.74 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 7.94/1.74 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 7.94/1.74 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 7.94/1.74 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 7.94/1.74 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 7.94/1.74 ( ~( ssPv20_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) )),
% 7.94/1.74 inference('cnf.neg', [status(esa)], [clause292])).
% 7.94/1.74 thf(zip_derived_cl244, plain,
% 7.94/1.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 7.94/1.74 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 7.94/1.74 X14 : $i]:
% 7.94/1.74 ( (ssPv20_1r1 @ X0)
% 7.94/1.74 | ~ (ssNder1_0)
% 7.94/1.74 | ~ (ssNder1_1r1 @ X0)
% 7.94/1.74 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 7.94/1.74 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 7.94/1.74 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 7.94/1.74 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 7.94/1.74 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 7.94/1.74 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 7.94/1.74 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 7.94/1.74 X7)
% 7.94/1.74 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 7.94/1.74 X6 @ X7 @ X8)
% 7.94/1.74 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 7.94/1.74 X6 @ X7 @ X8 @ X9)
% 7.94/1.74 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 7.94/1.74 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 7.94/1.74 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 7.94/1.74 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 7.94/1.74 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 7.94/1.74 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 7.94/1.74 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 7.94/1.74 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 7.94/1.74 | ~ (ssPv20_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 7.94/1.74 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14))),
% 7.94/1.74 inference('cnf', [status(esa)], [zf_stmt_42])).
% 7.94/1.74 thf(zip_derived_cl866, plain, (![X3 : $i]: ~ (ssPv20_1r1 @ X3)),
% 7.94/1.74 inference('sup-', [status(thm)], [zip_derived_cl582, zip_derived_cl865])).
% 7.94/1.74 thf(zip_derived_cl535, plain, ( (ssNder1_0)),
% 7.94/1.74 inference('cnf', [status(esa)], [zf_stmt_1])).
% 7.94/1.74 thf(zip_derived_cl541, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 7.94/1.74 inference('demod', [status(thm)], [zip_derived_cl534, zip_derived_cl535])).
% 7.94/1.74 thf(zip_derived_cl542, plain,
% 7.94/1.74 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 7.94/1.74 inference('demod', [status(thm)],
% 7.94/1.74 [zip_derived_cl533, zip_derived_cl535, zip_derived_cl541])).
% 7.94/1.74 thf(zip_derived_cl552, plain,
% 7.94/1.74 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 7.94/1.74 inference('demod', [status(thm)],
% 7.94/1.74 [zip_derived_cl525, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.74 zip_derived_cl542])).
% 7.94/1.74 thf(zip_derived_cl572, plain,
% 7.94/1.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.94/1.74 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 7.94/1.74 inference('demod', [status(thm)],
% 7.94/1.74 [zip_derived_cl518, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.74 zip_derived_cl542, zip_derived_cl552])).
% 7.94/1.74 thf(zip_derived_cl596, plain,
% 7.94/1.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 7.94/1.74 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 7.94/1.74 inference('demod', [status(thm)],
% 7.94/1.74 [zip_derived_cl503, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.74 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572])).
% 7.94/1.74 thf(zip_derived_cl619, plain,
% 7.94/1.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 7.94/1.74 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 7.94/1.74 inference('demod', [status(thm)],
% 7.94/1.74 [zip_derived_cl486, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.74 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.74 zip_derived_cl596])).
% 7.94/1.74 thf(zip_derived_cl644, plain,
% 7.94/1.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 7.94/1.74 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 7.94/1.74 inference('demod', [status(thm)],
% 7.94/1.74 [zip_derived_cl471, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.74 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.74 zip_derived_cl596, zip_derived_cl619])).
% 7.94/1.74 thf(zip_derived_cl675, plain,
% 7.94/1.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 7.94/1.74 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 7.94/1.74 inference('demod', [status(thm)],
% 7.94/1.74 [zip_derived_cl449, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.74 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.74 zip_derived_cl596, zip_derived_cl619, zip_derived_cl644])).
% 7.94/1.74 thf(zip_derived_cl719, plain,
% 7.94/1.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 7.94/1.74 X7 : $i, X8 : $i]:
% 7.94/1.74 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 7.94/1.74 X7 @ X8)),
% 7.94/1.74 inference('demod', [status(thm)],
% 7.94/1.74 [zip_derived_cl425, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.74 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.74 zip_derived_cl596, zip_derived_cl619, zip_derived_cl644,
% 7.94/1.74 zip_derived_cl675])).
% 7.94/1.74 thf(zip_derived_cl776, plain,
% 7.94/1.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 7.94/1.74 X7 : $i, X8 : $i, X9 : $i]:
% 7.94/1.74 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 7.94/1.74 X7 @ X8 @ X9)),
% 7.94/1.74 inference('demod', [status(thm)],
% 7.94/1.74 [zip_derived_cl397, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.74 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.74 zip_derived_cl596, zip_derived_cl619, zip_derived_cl644,
% 7.94/1.74 zip_derived_cl675, zip_derived_cl719])).
% 7.94/1.74 thf(zip_derived_cl822, plain,
% 7.94/1.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 7.94/1.74 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 7.94/1.74 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 7.94/1.74 X6 @ X7 @ X8 @ X9 @ X10)),
% 7.94/1.74 inference('demod', [status(thm)],
% 7.94/1.74 [zip_derived_cl370, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.74 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.74 zip_derived_cl596, zip_derived_cl619, zip_derived_cl644,
% 7.94/1.74 zip_derived_cl675, zip_derived_cl719, zip_derived_cl776])).
% 7.94/1.74 thf(zip_derived_cl941, plain,
% 7.94/1.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 7.94/1.74 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 7.94/1.74 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 7.94/1.74 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 7.94/1.74 inference('demod', [status(thm)],
% 7.94/1.74 [zip_derived_cl341, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.74 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.74 zip_derived_cl596, zip_derived_cl619, zip_derived_cl644,
% 7.94/1.74 zip_derived_cl675, zip_derived_cl719, zip_derived_cl776,
% 7.94/1.74 zip_derived_cl822])).
% 7.94/1.74 thf(zip_derived_cl986, plain,
% 7.94/1.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 7.94/1.74 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 7.94/1.74 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 7.94/1.74 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 7.94/1.74 inference('demod', [status(thm)],
% 7.94/1.74 [zip_derived_cl308, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.74 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.74 zip_derived_cl596, zip_derived_cl619, zip_derived_cl644,
% 7.94/1.74 zip_derived_cl675, zip_derived_cl719, zip_derived_cl776,
% 7.94/1.74 zip_derived_cl822, zip_derived_cl941])).
% 7.94/1.74 thf(zip_derived_cl1027, plain,
% 7.94/1.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 7.94/1.74 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 7.94/1.74 (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 7.94/1.74 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)),
% 7.94/1.74 inference('demod', [status(thm)],
% 7.94/1.74 [zip_derived_cl278, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.74 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.74 zip_derived_cl596, zip_derived_cl619, zip_derived_cl644,
% 7.94/1.74 zip_derived_cl675, zip_derived_cl719, zip_derived_cl776,
% 7.94/1.74 zip_derived_cl822, zip_derived_cl941, zip_derived_cl986])).
% 7.94/1.74 thf(zip_derived_cl1042, plain,
% 7.94/1.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 7.94/1.74 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 7.94/1.74 X14 : $i]:
% 7.94/1.74 ~ (ssPv20_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 7.94/1.74 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)),
% 7.94/1.74 inference('demod', [status(thm)],
% 7.94/1.74 [zip_derived_cl244, zip_derived_cl866, zip_derived_cl535,
% 7.94/1.74 zip_derived_cl541, zip_derived_cl542, zip_derived_cl552,
% 7.94/1.74 zip_derived_cl572, zip_derived_cl596, zip_derived_cl619,
% 7.94/1.74 zip_derived_cl644, zip_derived_cl675, zip_derived_cl719,
% 7.94/1.74 zip_derived_cl776, zip_derived_cl822, zip_derived_cl941,
% 7.94/1.74 zip_derived_cl986, zip_derived_cl1027])).
% 7.94/1.74 thf(zip_derived_cl535, plain, ( (ssNder1_0)),
% 7.94/1.74 inference('cnf', [status(esa)], [zf_stmt_1])).
% 7.94/1.74 thf(zip_derived_cl541, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 7.94/1.74 inference('demod', [status(thm)], [zip_derived_cl534, zip_derived_cl535])).
% 7.94/1.74 thf(zip_derived_cl542, plain,
% 7.94/1.74 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 7.94/1.74 inference('demod', [status(thm)],
% 7.94/1.74 [zip_derived_cl533, zip_derived_cl535, zip_derived_cl541])).
% 7.94/1.74 thf(zip_derived_cl552, plain,
% 7.94/1.74 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 7.94/1.74 inference('demod', [status(thm)],
% 7.94/1.74 [zip_derived_cl525, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.74 zip_derived_cl542])).
% 7.94/1.74 thf(zip_derived_cl572, plain,
% 7.94/1.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.94/1.74 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 7.94/1.74 inference('demod', [status(thm)],
% 7.94/1.74 [zip_derived_cl518, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.74 zip_derived_cl542, zip_derived_cl552])).
% 7.94/1.74 thf(zip_derived_cl596, plain,
% 7.94/1.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 7.94/1.74 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 7.94/1.74 inference('demod', [status(thm)],
% 7.94/1.74 [zip_derived_cl503, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.74 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572])).
% 7.94/1.74 thf(zip_derived_cl619, plain,
% 7.94/1.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 7.94/1.74 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 7.94/1.74 inference('demod', [status(thm)],
% 7.94/1.74 [zip_derived_cl486, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.74 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.74 zip_derived_cl596])).
% 7.94/1.74 thf(zip_derived_cl644, plain,
% 7.94/1.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 7.94/1.74 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 7.94/1.74 inference('demod', [status(thm)],
% 7.94/1.74 [zip_derived_cl471, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.74 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.74 zip_derived_cl596, zip_derived_cl619])).
% 7.94/1.74 thf(zip_derived_cl675, plain,
% 7.94/1.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 7.94/1.74 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 7.94/1.74 inference('demod', [status(thm)],
% 7.94/1.74 [zip_derived_cl449, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.74 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.74 zip_derived_cl596, zip_derived_cl619, zip_derived_cl644])).
% 7.94/1.74 thf(zip_derived_cl719, plain,
% 7.94/1.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 7.94/1.74 X7 : $i, X8 : $i]:
% 7.94/1.74 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 7.94/1.74 X7 @ X8)),
% 7.94/1.74 inference('demod', [status(thm)],
% 7.94/1.74 [zip_derived_cl425, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.74 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.74 zip_derived_cl596, zip_derived_cl619, zip_derived_cl644,
% 7.94/1.74 zip_derived_cl675])).
% 7.94/1.74 thf(zip_derived_cl776, plain,
% 7.94/1.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 7.94/1.74 X7 : $i, X8 : $i, X9 : $i]:
% 7.94/1.74 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 7.94/1.74 X7 @ X8 @ X9)),
% 7.94/1.74 inference('demod', [status(thm)],
% 7.94/1.74 [zip_derived_cl397, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.74 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.74 zip_derived_cl596, zip_derived_cl619, zip_derived_cl644,
% 7.94/1.74 zip_derived_cl675, zip_derived_cl719])).
% 7.94/1.74 thf(zip_derived_cl822, plain,
% 7.94/1.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 7.94/1.74 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 7.94/1.74 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 7.94/1.74 X6 @ X7 @ X8 @ X9 @ X10)),
% 7.94/1.74 inference('demod', [status(thm)],
% 7.94/1.74 [zip_derived_cl370, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.74 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.74 zip_derived_cl596, zip_derived_cl619, zip_derived_cl644,
% 7.94/1.74 zip_derived_cl675, zip_derived_cl719, zip_derived_cl776])).
% 7.94/1.74 thf(zip_derived_cl941, plain,
% 7.94/1.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 7.94/1.74 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 7.94/1.74 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 7.94/1.74 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 7.94/1.74 inference('demod', [status(thm)],
% 7.94/1.74 [zip_derived_cl341, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.74 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.74 zip_derived_cl596, zip_derived_cl619, zip_derived_cl644,
% 7.94/1.74 zip_derived_cl675, zip_derived_cl719, zip_derived_cl776,
% 7.94/1.74 zip_derived_cl822])).
% 7.94/1.74 thf(zip_derived_cl986, plain,
% 7.94/1.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 7.94/1.74 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 7.94/1.74 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 7.94/1.74 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 7.94/1.74 inference('demod', [status(thm)],
% 7.94/1.74 [zip_derived_cl308, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.74 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.74 zip_derived_cl596, zip_derived_cl619, zip_derived_cl644,
% 7.94/1.74 zip_derived_cl675, zip_derived_cl719, zip_derived_cl776,
% 7.94/1.74 zip_derived_cl822, zip_derived_cl941])).
% 7.94/1.74 thf(zip_derived_cl1027, plain,
% 7.94/1.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 7.94/1.74 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 7.94/1.74 (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 7.94/1.74 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)),
% 7.94/1.74 inference('demod', [status(thm)],
% 7.94/1.74 [zip_derived_cl278, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.74 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.74 zip_derived_cl596, zip_derived_cl619, zip_derived_cl644,
% 7.94/1.74 zip_derived_cl675, zip_derived_cl719, zip_derived_cl776,
% 7.94/1.74 zip_derived_cl822, zip_derived_cl941, zip_derived_cl986])).
% 7.94/1.74 thf(zip_derived_cl1219, plain,
% 7.94/1.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 7.94/1.74 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 7.94/1.74 X14 : $i]:
% 7.94/1.74 ( (ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 7.94/1.74 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 7.94/1.74 | (ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 7.94/1.74 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 7.94/1.74 | ~ (ssPv10_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 7.94/1.74 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14))),
% 7.94/1.74 inference('demod', [status(thm)],
% 7.94/1.74 [zip_derived_cl151, zip_derived_cl1042, zip_derived_cl535,
% 7.94/1.74 zip_derived_cl541, zip_derived_cl542, zip_derived_cl552,
% 7.94/1.74 zip_derived_cl572, zip_derived_cl596, zip_derived_cl619,
% 7.94/1.74 zip_derived_cl644, zip_derived_cl675, zip_derived_cl719,
% 7.94/1.74 zip_derived_cl776, zip_derived_cl822, zip_derived_cl941,
% 7.94/1.74 zip_derived_cl986, zip_derived_cl1027])).
% 7.94/1.74 thf(clause325, conjecture,
% 7.94/1.74 (~( ( ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) |
% 7.94/1.74 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 7.94/1.74 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 7.94/1.74 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 7.94/1.74 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 7.94/1.74 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 7.94/1.74 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 7.94/1.74 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 7.94/1.74 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 7.94/1.74 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 7.94/1.74 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 7.94/1.74 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 7.94/1.74 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 7.94/1.74 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 7.94/1.74 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 7.94/1.74 ( ~( ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) ))).
% 7.94/1.74 thf(zf_stmt_43, negated_conjecture,
% 7.94/1.74 (( ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) |
% 7.94/1.74 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 7.94/1.74 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 7.94/1.74 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 7.94/1.74 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 7.94/1.74 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 7.94/1.74 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 7.94/1.74 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 7.94/1.74 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 7.94/1.74 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 7.94/1.74 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 7.94/1.74 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 7.94/1.74 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 7.94/1.74 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 7.94/1.74 ( ~( ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) )),
% 7.94/1.74 inference('cnf.neg', [status(esa)], [clause325])).
% 7.94/1.74 thf(zip_derived_cl211, plain,
% 7.94/1.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 7.94/1.74 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 7.94/1.74 X14 : $i]:
% 7.94/1.74 ( (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 7.94/1.74 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 7.94/1.74 | ~ (ssNder1_0)
% 7.94/1.74 | ~ (ssNder1_1r1 @ X0)
% 7.94/1.74 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 7.94/1.74 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 7.94/1.74 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 7.94/1.74 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 7.94/1.74 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 7.94/1.74 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 7.94/1.74 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 7.94/1.74 X7)
% 7.94/1.74 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 7.94/1.74 X6 @ X7 @ X8)
% 7.94/1.74 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 7.94/1.74 X6 @ X7 @ X8 @ X9)
% 7.94/1.74 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 7.94/1.74 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 7.94/1.74 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 7.94/1.74 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 7.94/1.74 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 7.94/1.74 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 7.94/1.74 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 7.94/1.74 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 7.94/1.74 | ~ (ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 7.94/1.74 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14))),
% 7.94/1.74 inference('cnf', [status(esa)], [zf_stmt_43])).
% 7.94/1.74 thf(zip_derived_cl535, plain, ( (ssNder1_0)),
% 7.94/1.74 inference('cnf', [status(esa)], [zf_stmt_1])).
% 7.94/1.74 thf(zip_derived_cl541, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 7.94/1.74 inference('demod', [status(thm)], [zip_derived_cl534, zip_derived_cl535])).
% 7.94/1.74 thf(zip_derived_cl542, plain,
% 7.94/1.74 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 7.94/1.74 inference('demod', [status(thm)],
% 7.94/1.74 [zip_derived_cl533, zip_derived_cl535, zip_derived_cl541])).
% 7.94/1.74 thf(zip_derived_cl552, plain,
% 7.94/1.74 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 7.94/1.74 inference('demod', [status(thm)],
% 7.94/1.74 [zip_derived_cl525, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.74 zip_derived_cl542])).
% 7.94/1.74 thf(zip_derived_cl572, plain,
% 7.94/1.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.94/1.74 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 7.94/1.74 inference('demod', [status(thm)],
% 7.94/1.74 [zip_derived_cl518, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.74 zip_derived_cl542, zip_derived_cl552])).
% 7.94/1.74 thf(zip_derived_cl596, plain,
% 7.94/1.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 7.94/1.74 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 7.94/1.74 inference('demod', [status(thm)],
% 7.94/1.74 [zip_derived_cl503, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.74 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572])).
% 7.94/1.74 thf(zip_derived_cl619, plain,
% 7.94/1.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 7.94/1.74 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 7.94/1.74 inference('demod', [status(thm)],
% 7.94/1.74 [zip_derived_cl486, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.74 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.74 zip_derived_cl596])).
% 7.94/1.74 thf(zip_derived_cl644, plain,
% 7.94/1.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 7.94/1.74 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 7.94/1.74 inference('demod', [status(thm)],
% 7.94/1.74 [zip_derived_cl471, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.74 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.74 zip_derived_cl596, zip_derived_cl619])).
% 7.94/1.74 thf(zip_derived_cl675, plain,
% 7.94/1.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 7.94/1.74 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 7.94/1.74 inference('demod', [status(thm)],
% 7.94/1.74 [zip_derived_cl449, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.74 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.74 zip_derived_cl596, zip_derived_cl619, zip_derived_cl644])).
% 7.94/1.74 thf(zip_derived_cl719, plain,
% 7.94/1.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 7.94/1.74 X7 : $i, X8 : $i]:
% 7.94/1.74 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 7.94/1.74 X7 @ X8)),
% 7.94/1.74 inference('demod', [status(thm)],
% 7.94/1.74 [zip_derived_cl425, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.74 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.74 zip_derived_cl596, zip_derived_cl619, zip_derived_cl644,
% 7.94/1.74 zip_derived_cl675])).
% 7.94/1.74 thf(zip_derived_cl776, plain,
% 7.94/1.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 7.94/1.74 X7 : $i, X8 : $i, X9 : $i]:
% 7.94/1.74 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 7.94/1.74 X7 @ X8 @ X9)),
% 7.94/1.74 inference('demod', [status(thm)],
% 7.94/1.74 [zip_derived_cl397, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.74 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.74 zip_derived_cl596, zip_derived_cl619, zip_derived_cl644,
% 7.94/1.74 zip_derived_cl675, zip_derived_cl719])).
% 7.94/1.74 thf(zip_derived_cl822, plain,
% 7.94/1.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 7.94/1.74 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 7.94/1.74 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 7.94/1.74 X6 @ X7 @ X8 @ X9 @ X10)),
% 7.94/1.74 inference('demod', [status(thm)],
% 7.94/1.74 [zip_derived_cl370, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.74 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.74 zip_derived_cl596, zip_derived_cl619, zip_derived_cl644,
% 7.94/1.74 zip_derived_cl675, zip_derived_cl719, zip_derived_cl776])).
% 7.94/1.74 thf(zip_derived_cl941, plain,
% 7.94/1.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 7.94/1.74 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 7.94/1.74 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 7.94/1.74 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 7.94/1.74 inference('demod', [status(thm)],
% 7.94/1.74 [zip_derived_cl341, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.74 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.74 zip_derived_cl596, zip_derived_cl619, zip_derived_cl644,
% 7.94/1.74 zip_derived_cl675, zip_derived_cl719, zip_derived_cl776,
% 7.94/1.74 zip_derived_cl822])).
% 7.94/1.74 thf(zip_derived_cl986, plain,
% 7.94/1.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 7.94/1.74 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 7.94/1.74 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 7.94/1.74 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 7.94/1.74 inference('demod', [status(thm)],
% 7.94/1.74 [zip_derived_cl308, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.74 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.74 zip_derived_cl596, zip_derived_cl619, zip_derived_cl644,
% 7.94/1.74 zip_derived_cl675, zip_derived_cl719, zip_derived_cl776,
% 7.94/1.74 zip_derived_cl822, zip_derived_cl941])).
% 7.94/1.74 thf(zip_derived_cl1027, plain,
% 7.94/1.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 7.94/1.74 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 7.94/1.74 (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 7.94/1.74 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)),
% 7.94/1.74 inference('demod', [status(thm)],
% 7.94/1.74 [zip_derived_cl278, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.74 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.74 zip_derived_cl596, zip_derived_cl619, zip_derived_cl644,
% 7.94/1.74 zip_derived_cl675, zip_derived_cl719, zip_derived_cl776,
% 7.94/1.74 zip_derived_cl822, zip_derived_cl941, zip_derived_cl986])).
% 7.94/1.74 thf(zip_derived_cl1124, plain,
% 7.94/1.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 7.94/1.74 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 7.94/1.74 X14 : $i]:
% 7.94/1.74 ( (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 7.94/1.74 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 7.94/1.74 | ~ (ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 7.94/1.74 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14))),
% 7.94/1.74 inference('demod', [status(thm)],
% 7.94/1.74 [zip_derived_cl211, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.74 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.74 zip_derived_cl596, zip_derived_cl619, zip_derived_cl644,
% 7.94/1.74 zip_derived_cl675, zip_derived_cl719, zip_derived_cl776,
% 7.94/1.74 zip_derived_cl822, zip_derived_cl941, zip_derived_cl986,
% 7.94/1.74 zip_derived_cl1027])).
% 7.94/1.74 thf(zip_derived_cl1220, plain,
% 7.94/1.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 7.94/1.74 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 7.94/1.74 X14 : $i]:
% 7.94/1.74 (~ (ssPv10_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X14 @ X13 @ X12 @ X11 @
% 7.94/1.74 X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 7.94/1.74 | (ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X14 @ X13 @ X12 @ X11 @
% 7.94/1.74 X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 7.94/1.74 | (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X14 @ X13 @ X12 @ X11 @
% 7.94/1.74 X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1))),
% 7.94/1.74 inference('sup-', [status(thm)], [zip_derived_cl1219, zip_derived_cl1124])).
% 7.94/1.74 thf(zip_derived_cl1221, plain,
% 7.94/1.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 7.94/1.74 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 7.94/1.74 X14 : $i]:
% 7.94/1.74 (~ (ssPv10_11r1r1r1r1r1r1r1r1r1r1r1 @ X14 @ X13 @ X12 @ X11 @ X10 @
% 7.94/1.74 X9 @ X8 @ X7 @ X6 @ X5 @ X4)
% 7.94/1.74 | (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X14 @ X13 @ X12 @ X11 @
% 7.94/1.74 X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1)
% 7.94/1.74 | (ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X14 @ X13 @ X12 @ X11 @
% 7.94/1.74 X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0))),
% 7.94/1.74 inference('sup-', [status(thm)], [zip_derived_cl1114, zip_derived_cl1220])).
% 7.94/1.74 thf(clause260, conjecture,
% 7.94/1.74 (~( ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 7.94/1.74 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 7.94/1.74 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 7.94/1.74 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 7.94/1.74 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 7.94/1.74 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 7.94/1.74 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 7.94/1.74 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 7.94/1.74 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 7.94/1.74 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 7.94/1.74 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 7.94/1.74 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 7.94/1.74 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 7.94/1.74 ( ~( ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 7.94/1.74 skc19 ) ) ))).
% 7.94/1.74 thf(zf_stmt_44, negated_conjecture,
% 7.94/1.74 (( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 7.94/1.74 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 7.94/1.74 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 7.94/1.74 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 7.94/1.74 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 7.94/1.74 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 7.94/1.74 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 7.94/1.74 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 7.94/1.74 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 7.94/1.74 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 7.94/1.74 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 7.94/1.74 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 7.94/1.74 ( ~( ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ skc19 ) )),
% 7.94/1.74 inference('cnf.neg', [status(esa)], [clause260])).
% 7.94/1.74 thf(zip_derived_cl276, plain,
% 7.94/1.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 7.94/1.74 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 7.94/1.74 (~ (ssNder1_0)
% 7.94/1.74 | ~ (ssNder1_1r1 @ X0)
% 7.94/1.74 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 7.94/1.74 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 7.94/1.74 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 7.94/1.74 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 7.94/1.74 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 7.94/1.74 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 7.94/1.74 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 7.94/1.74 X7)
% 7.94/1.74 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 7.94/1.74 X6 @ X7 @ X8)
% 7.94/1.74 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 7.94/1.74 X6 @ X7 @ X8 @ X9)
% 7.94/1.74 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 7.94/1.74 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 7.94/1.74 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 7.94/1.74 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 7.94/1.74 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 7.94/1.74 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 7.94/1.74 | ~ (ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 7.94/1.74 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ skc19))),
% 7.94/1.74 inference('cnf', [status(esa)], [zf_stmt_44])).
% 7.94/1.74 thf(zip_derived_cl535, plain, ( (ssNder1_0)),
% 7.94/1.74 inference('cnf', [status(esa)], [zf_stmt_1])).
% 7.94/1.74 thf(zip_derived_cl541, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 7.94/1.74 inference('demod', [status(thm)], [zip_derived_cl534, zip_derived_cl535])).
% 7.94/1.74 thf(zip_derived_cl542, plain,
% 7.94/1.74 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 7.94/1.74 inference('demod', [status(thm)],
% 7.94/1.74 [zip_derived_cl533, zip_derived_cl535, zip_derived_cl541])).
% 7.94/1.74 thf(zip_derived_cl552, plain,
% 7.94/1.74 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 7.94/1.74 inference('demod', [status(thm)],
% 7.94/1.74 [zip_derived_cl525, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.74 zip_derived_cl542])).
% 7.94/1.74 thf(zip_derived_cl572, plain,
% 7.94/1.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.94/1.74 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 7.94/1.74 inference('demod', [status(thm)],
% 7.94/1.74 [zip_derived_cl518, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.74 zip_derived_cl542, zip_derived_cl552])).
% 7.94/1.74 thf(zip_derived_cl596, plain,
% 7.94/1.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 7.94/1.74 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 7.94/1.74 inference('demod', [status(thm)],
% 7.94/1.74 [zip_derived_cl503, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.74 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572])).
% 7.94/1.74 thf(zip_derived_cl619, plain,
% 7.94/1.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 7.94/1.74 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 7.94/1.74 inference('demod', [status(thm)],
% 7.94/1.74 [zip_derived_cl486, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.74 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.74 zip_derived_cl596])).
% 7.94/1.74 thf(zip_derived_cl644, plain,
% 7.94/1.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 7.94/1.74 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 7.94/1.74 inference('demod', [status(thm)],
% 7.94/1.74 [zip_derived_cl471, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.74 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.74 zip_derived_cl596, zip_derived_cl619])).
% 7.94/1.74 thf(zip_derived_cl653, plain,
% 7.94/1.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 7.94/1.74 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 7.94/1.74 (~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)
% 7.94/1.74 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 7.94/1.74 X6 @ X7 @ X8)
% 7.94/1.74 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 7.94/1.74 X6 @ X7 @ X8 @ X9)
% 7.94/1.74 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 7.94/1.74 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 7.94/1.74 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 7.94/1.74 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 7.94/1.74 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 7.94/1.74 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 7.94/1.74 | ~ (ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 7.94/1.74 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ skc19))),
% 7.94/1.74 inference('demod', [status(thm)],
% 7.94/1.74 [zip_derived_cl276, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.74 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.74 zip_derived_cl596, zip_derived_cl619, zip_derived_cl644])).
% 7.94/1.74 thf(zip_derived_cl675, plain,
% 7.94/1.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 7.94/1.74 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 7.94/1.74 inference('demod', [status(thm)],
% 7.94/1.74 [zip_derived_cl449, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.74 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.74 zip_derived_cl596, zip_derived_cl619, zip_derived_cl644])).
% 7.94/1.74 thf(zip_derived_cl680, plain,
% 7.94/1.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 7.94/1.74 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 7.94/1.74 (~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 7.94/1.74 X7 @ X8)
% 7.94/1.74 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 7.94/1.74 X6 @ X7 @ X8 @ X9)
% 7.94/1.74 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 7.94/1.74 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 7.94/1.74 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 7.94/1.74 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 7.94/1.74 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 7.94/1.74 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 7.94/1.74 | ~ (ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 7.94/1.74 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ skc19))),
% 7.94/1.74 inference('demod', [status(thm)], [zip_derived_cl653, zip_derived_cl675])).
% 7.94/1.74 thf(zip_derived_cl719, plain,
% 7.94/1.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 7.94/1.74 X7 : $i, X8 : $i]:
% 7.94/1.74 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 7.94/1.74 X7 @ X8)),
% 7.94/1.74 inference('demod', [status(thm)],
% 7.94/1.74 [zip_derived_cl425, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.74 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.74 zip_derived_cl596, zip_derived_cl619, zip_derived_cl644,
% 7.94/1.74 zip_derived_cl675])).
% 7.94/1.74 thf(zip_derived_cl723, plain,
% 7.94/1.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 7.94/1.74 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 7.94/1.74 (~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 7.94/1.74 X6 @ X7 @ X8 @ X9)
% 7.94/1.74 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 7.94/1.74 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 7.94/1.74 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 7.94/1.74 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 7.94/1.74 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 7.94/1.74 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 7.94/1.74 | ~ (ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 7.94/1.74 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ skc19))),
% 7.94/1.74 inference('demod', [status(thm)], [zip_derived_cl680, zip_derived_cl719])).
% 7.94/1.74 thf(zip_derived_cl776, plain,
% 7.94/1.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 7.94/1.74 X7 : $i, X8 : $i, X9 : $i]:
% 7.94/1.74 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 7.94/1.74 X7 @ X8 @ X9)),
% 7.94/1.74 inference('demod', [status(thm)],
% 7.94/1.74 [zip_derived_cl397, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.74 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.74 zip_derived_cl596, zip_derived_cl619, zip_derived_cl644,
% 7.94/1.74 zip_derived_cl675, zip_derived_cl719])).
% 7.94/1.74 thf(zip_derived_cl779, plain,
% 7.94/1.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 7.94/1.74 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 7.94/1.74 (~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 7.94/1.74 X6 @ X7 @ X8 @ X9 @ X10)
% 7.94/1.74 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 7.94/1.74 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 7.94/1.74 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 7.94/1.74 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 7.94/1.74 | ~ (ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 7.94/1.74 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ skc19))),
% 7.94/1.74 inference('demod', [status(thm)], [zip_derived_cl723, zip_derived_cl776])).
% 7.94/1.74 thf(zip_derived_cl822, plain,
% 7.94/1.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 7.94/1.74 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 7.94/1.74 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 7.94/1.74 X6 @ X7 @ X8 @ X9 @ X10)),
% 7.94/1.74 inference('demod', [status(thm)],
% 7.94/1.74 [zip_derived_cl370, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.74 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.74 zip_derived_cl596, zip_derived_cl619, zip_derived_cl644,
% 7.94/1.74 zip_derived_cl675, zip_derived_cl719, zip_derived_cl776])).
% 7.94/1.74 thf(zip_derived_cl825, plain,
% 7.94/1.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 7.94/1.74 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 7.94/1.74 (~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 7.94/1.74 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 7.94/1.74 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 7.94/1.74 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 7.94/1.74 | ~ (ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 7.94/1.74 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ skc19))),
% 7.94/1.74 inference('demod', [status(thm)], [zip_derived_cl779, zip_derived_cl822])).
% 7.94/1.74 thf(zip_derived_cl941, plain,
% 7.94/1.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 7.94/1.74 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 7.94/1.74 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 7.94/1.74 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 7.94/1.74 inference('demod', [status(thm)],
% 7.94/1.74 [zip_derived_cl341, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.74 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.74 zip_derived_cl596, zip_derived_cl619, zip_derived_cl644,
% 7.94/1.74 zip_derived_cl675, zip_derived_cl719, zip_derived_cl776,
% 7.94/1.74 zip_derived_cl822])).
% 7.94/1.74 thf(zip_derived_cl943, plain,
% 7.94/1.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 7.94/1.74 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 7.94/1.74 (~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 7.94/1.74 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 7.94/1.74 | ~ (ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 7.94/1.74 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ skc19))),
% 7.94/1.74 inference('demod', [status(thm)], [zip_derived_cl825, zip_derived_cl941])).
% 7.94/1.74 thf(zip_derived_cl986, plain,
% 7.94/1.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 7.94/1.74 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 7.94/1.74 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 7.94/1.74 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 7.94/1.74 inference('demod', [status(thm)],
% 7.94/1.74 [zip_derived_cl308, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.74 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.74 zip_derived_cl596, zip_derived_cl619, zip_derived_cl644,
% 7.94/1.74 zip_derived_cl675, zip_derived_cl719, zip_derived_cl776,
% 7.94/1.74 zip_derived_cl822, zip_derived_cl941])).
% 7.94/1.74 thf(zip_derived_cl987, plain,
% 7.94/1.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 7.94/1.74 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 7.94/1.74 ~ (ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 7.94/1.74 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ skc19)),
% 7.94/1.74 inference('demod', [status(thm)], [zip_derived_cl943, zip_derived_cl986])).
% 7.94/1.74 thf(zip_derived_cl1222, plain,
% 7.94/1.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 7.94/1.74 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 7.94/1.74 ( (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X13 @ X12 @ X11 @ X10 @
% 7.94/1.74 X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 7.94/1.74 | ~ (ssPv10_11r1r1r1r1r1r1r1r1r1r1r1 @ X13 @ X12 @ X11 @ X10 @ X9 @
% 7.94/1.74 X8 @ X7 @ X6 @ X5 @ X4 @ X3))),
% 7.94/1.74 inference('sup-', [status(thm)], [zip_derived_cl1221, zip_derived_cl987])).
% 7.94/1.74 thf(clause230, conjecture,
% 7.94/1.74 (~( ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 7.94/1.74 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 7.94/1.74 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 7.94/1.74 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 7.94/1.74 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 7.94/1.74 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 7.94/1.74 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 7.94/1.74 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 7.94/1.74 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 7.94/1.74 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 7.94/1.74 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 7.94/1.74 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 7.94/1.74 ( ~( ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ skc21 ) ) ))).
% 7.94/1.74 thf(zf_stmt_45, negated_conjecture,
% 7.94/1.74 (( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 7.94/1.74 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 7.94/1.74 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 7.94/1.74 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 7.94/1.74 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 7.94/1.74 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 7.94/1.74 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 7.94/1.74 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 7.94/1.74 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 7.94/1.74 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 7.94/1.74 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 7.94/1.74 ( ~( ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ skc21 ) )),
% 7.94/1.74 inference('cnf.neg', [status(esa)], [clause230])).
% 7.94/1.74 thf(zip_derived_cl306, plain,
% 7.94/1.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 7.94/1.74 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 7.94/1.74 (~ (ssNder1_0)
% 7.94/1.74 | ~ (ssNder1_1r1 @ X0)
% 7.94/1.74 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 7.94/1.74 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 7.94/1.74 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 7.94/1.74 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 7.94/1.74 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 7.94/1.74 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 7.94/1.74 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 7.94/1.74 X7)
% 7.94/1.74 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 7.94/1.74 X6 @ X7 @ X8)
% 7.94/1.74 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 7.94/1.74 X6 @ X7 @ X8 @ X9)
% 7.94/1.74 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 7.94/1.74 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 7.94/1.74 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 7.94/1.74 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 7.94/1.74 | ~ (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 7.94/1.74 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ skc21))),
% 7.94/1.74 inference('cnf', [status(esa)], [zf_stmt_45])).
% 7.94/1.74 thf(zip_derived_cl535, plain, ( (ssNder1_0)),
% 7.94/1.74 inference('cnf', [status(esa)], [zf_stmt_1])).
% 7.94/1.74 thf(zip_derived_cl541, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 7.94/1.74 inference('demod', [status(thm)], [zip_derived_cl534, zip_derived_cl535])).
% 7.94/1.74 thf(zip_derived_cl542, plain,
% 7.94/1.74 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 7.94/1.74 inference('demod', [status(thm)],
% 7.94/1.74 [zip_derived_cl533, zip_derived_cl535, zip_derived_cl541])).
% 7.94/1.74 thf(zip_derived_cl552, plain,
% 7.94/1.74 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 7.94/1.74 inference('demod', [status(thm)],
% 7.94/1.74 [zip_derived_cl525, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.74 zip_derived_cl542])).
% 7.94/1.74 thf(zip_derived_cl572, plain,
% 7.94/1.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.94/1.74 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 7.94/1.74 inference('demod', [status(thm)],
% 7.94/1.74 [zip_derived_cl518, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.74 zip_derived_cl542, zip_derived_cl552])).
% 7.94/1.74 thf(zip_derived_cl596, plain,
% 7.94/1.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 7.94/1.74 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 7.94/1.74 inference('demod', [status(thm)],
% 7.94/1.74 [zip_derived_cl503, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.74 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572])).
% 7.94/1.74 thf(zip_derived_cl619, plain,
% 7.94/1.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 7.94/1.74 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 7.94/1.74 inference('demod', [status(thm)],
% 7.94/1.74 [zip_derived_cl486, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.74 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.74 zip_derived_cl596])).
% 7.94/1.74 thf(zip_derived_cl644, plain,
% 7.94/1.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 7.94/1.74 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 7.94/1.74 inference('demod', [status(thm)],
% 7.94/1.74 [zip_derived_cl471, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.74 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.74 zip_derived_cl596, zip_derived_cl619])).
% 7.94/1.74 thf(zip_derived_cl652, plain,
% 7.94/1.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 7.94/1.74 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 7.94/1.74 (~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)
% 7.94/1.74 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 7.94/1.74 X6 @ X7 @ X8)
% 7.94/1.74 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 7.94/1.74 X6 @ X7 @ X8 @ X9)
% 7.94/1.74 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 7.94/1.74 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 7.94/1.74 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 7.94/1.74 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 7.94/1.74 | ~ (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 7.94/1.74 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ skc21))),
% 7.94/1.74 inference('demod', [status(thm)],
% 7.94/1.74 [zip_derived_cl306, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.74 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.74 zip_derived_cl596, zip_derived_cl619, zip_derived_cl644])).
% 7.94/1.74 thf(zip_derived_cl675, plain,
% 7.94/1.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 7.94/1.74 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 7.94/1.74 inference('demod', [status(thm)],
% 7.94/1.74 [zip_derived_cl449, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.74 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.74 zip_derived_cl596, zip_derived_cl619, zip_derived_cl644])).
% 7.94/1.74 thf(zip_derived_cl679, plain,
% 7.94/1.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 7.94/1.74 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 7.94/1.74 (~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 7.94/1.74 X7 @ X8)
% 7.94/1.74 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 7.94/1.74 X6 @ X7 @ X8 @ X9)
% 7.94/1.74 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 7.94/1.74 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 7.94/1.74 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 7.94/1.74 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 7.94/1.74 | ~ (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 7.94/1.74 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ skc21))),
% 7.94/1.74 inference('demod', [status(thm)], [zip_derived_cl652, zip_derived_cl675])).
% 7.94/1.74 thf(zip_derived_cl719, plain,
% 7.94/1.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 7.94/1.74 X7 : $i, X8 : $i]:
% 7.94/1.74 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 7.94/1.74 X7 @ X8)),
% 7.94/1.74 inference('demod', [status(thm)],
% 7.94/1.74 [zip_derived_cl425, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.74 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.74 zip_derived_cl596, zip_derived_cl619, zip_derived_cl644,
% 7.94/1.74 zip_derived_cl675])).
% 7.94/1.74 thf(zip_derived_cl722, plain,
% 7.94/1.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 7.94/1.74 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 7.94/1.74 (~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 7.94/1.74 X6 @ X7 @ X8 @ X9)
% 7.94/1.74 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 7.94/1.74 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 7.94/1.74 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 7.94/1.74 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 7.94/1.74 | ~ (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 7.94/1.74 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ skc21))),
% 7.94/1.74 inference('demod', [status(thm)], [zip_derived_cl679, zip_derived_cl719])).
% 7.94/1.74 thf(zip_derived_cl776, plain,
% 7.94/1.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 7.94/1.74 X7 : $i, X8 : $i, X9 : $i]:
% 7.94/1.74 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 7.94/1.74 X7 @ X8 @ X9)),
% 7.94/1.74 inference('demod', [status(thm)],
% 7.94/1.74 [zip_derived_cl397, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.74 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.74 zip_derived_cl596, zip_derived_cl619, zip_derived_cl644,
% 7.94/1.74 zip_derived_cl675, zip_derived_cl719])).
% 7.94/1.74 thf(zip_derived_cl778, plain,
% 7.94/1.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 7.94/1.74 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 7.94/1.74 (~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 7.94/1.74 X6 @ X7 @ X8 @ X9 @ X10)
% 7.94/1.74 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 7.94/1.74 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 7.94/1.74 | ~ (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 7.94/1.74 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ skc21))),
% 7.94/1.74 inference('demod', [status(thm)], [zip_derived_cl722, zip_derived_cl776])).
% 7.94/1.74 thf(zip_derived_cl822, plain,
% 7.94/1.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 7.94/1.74 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 7.94/1.74 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 7.94/1.74 X6 @ X7 @ X8 @ X9 @ X10)),
% 7.94/1.74 inference('demod', [status(thm)],
% 7.94/1.74 [zip_derived_cl370, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.74 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.74 zip_derived_cl596, zip_derived_cl619, zip_derived_cl644,
% 7.94/1.74 zip_derived_cl675, zip_derived_cl719, zip_derived_cl776])).
% 7.94/1.74 thf(zip_derived_cl824, plain,
% 7.94/1.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 7.94/1.74 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 7.94/1.74 (~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 7.94/1.74 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 7.94/1.74 | ~ (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 7.94/1.74 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ skc21))),
% 7.94/1.74 inference('demod', [status(thm)], [zip_derived_cl778, zip_derived_cl822])).
% 7.94/1.74 thf(zip_derived_cl941, plain,
% 7.94/1.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 7.94/1.74 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 7.94/1.74 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 7.94/1.74 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 7.94/1.74 inference('demod', [status(thm)],
% 7.94/1.74 [zip_derived_cl341, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.74 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.74 zip_derived_cl596, zip_derived_cl619, zip_derived_cl644,
% 7.94/1.74 zip_derived_cl675, zip_derived_cl719, zip_derived_cl776,
% 7.94/1.74 zip_derived_cl822])).
% 7.94/1.74 thf(zip_derived_cl942, plain,
% 7.94/1.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 7.94/1.74 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 7.94/1.74 ~ (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 7.94/1.74 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ skc21)),
% 7.94/1.74 inference('demod', [status(thm)], [zip_derived_cl824, zip_derived_cl941])).
% 7.94/1.74 thf(zip_derived_cl1223, plain,
% 7.94/1.74 (![X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i, X8 : $i,
% 7.94/1.74 X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 7.94/1.74 ~ (ssPv10_11r1r1r1r1r1r1r1r1r1r1r1 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @
% 7.94/1.74 X6 @ X5 @ X4 @ X3 @ X2)),
% 7.94/1.74 inference('sup-', [status(thm)], [zip_derived_cl1222, zip_derived_cl942])).
% 7.94/1.74 thf(zip_derived_cl1230, plain,
% 7.94/1.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 7.94/1.74 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 7.94/1.74 (~ (ssPv12_11r1r1r1r1r1r1r1r1r1r1r1 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @
% 7.94/1.74 X4 @ X3 @ X2 @ X1 @ X0)
% 7.94/1.74 | ~ (ssPv13_11r1r1r1r1r1r1r1r1r1r1r1 @ X10 @ X9 @ X8 @ X7 @ X6 @
% 7.94/1.74 X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 7.94/1.74 | (ssPv15_11r1r1r1r1r1r1r1r1r1r1r1 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @
% 7.94/1.74 X4 @ X3 @ X2 @ X1 @ X0))),
% 7.94/1.74 inference('sup-', [status(thm)], [zip_derived_cl991, zip_derived_cl1223])).
% 7.94/1.74 thf(zip_derived_cl1231, plain,
% 7.94/1.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 7.94/1.74 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 7.94/1.74 (~ (ssPv12_9r1r1r1r1r1r1r1r1r1 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @
% 7.94/1.74 X3 @ X2)
% 7.94/1.74 | (ssPv15_11r1r1r1r1r1r1r1r1r1r1r1 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @
% 7.94/1.74 X4 @ X3 @ X2 @ X1 @ X0)
% 7.94/1.74 | ~ (ssPv13_11r1r1r1r1r1r1r1r1r1r1r1 @ X10 @ X9 @ X8 @ X7 @ X6 @
% 7.94/1.74 X5 @ X4 @ X3 @ X2 @ X1 @ X0))),
% 7.94/1.74 inference('sup-', [status(thm)], [zip_derived_cl936, zip_derived_cl1230])).
% 7.94/1.74 thf(zip_derived_cl1232, plain,
% 7.94/1.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 7.94/1.74 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 7.94/1.74 (~ (ssPv13_8r1r1r1r1r1r1r1r1 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3)
% 7.94/1.74 | (ssPv15_11r1r1r1r1r1r1r1r1r1r1r1 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @
% 7.94/1.74 X4 @ X3 @ X2 @ X1 @ X0)
% 7.94/1.74 | ~ (ssPv12_9r1r1r1r1r1r1r1r1r1 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @
% 7.94/1.74 X4 @ X3 @ X2))),
% 7.94/1.74 inference('sup-', [status(thm)], [zip_derived_cl932, zip_derived_cl1231])).
% 7.94/1.74 thf(clause184, conjecture,
% 7.94/1.74 (~( ( ssPv15_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) |
% 7.94/1.74 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 7.94/1.74 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 7.94/1.74 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 7.94/1.74 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 7.94/1.74 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 7.94/1.74 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 7.94/1.74 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 7.94/1.74 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 7.94/1.74 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 7.94/1.74 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 7.94/1.74 ( ~( ssPv15_11r1r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) ))).
% 7.94/1.74 thf(zf_stmt_46, negated_conjecture,
% 7.94/1.74 (( ssPv15_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) | ( ~( ssNder1_0 ) ) |
% 7.94/1.74 ( ~( ssNder1_1r1 @ U ) ) | ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 7.94/1.74 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 7.94/1.74 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 7.94/1.74 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 7.94/1.74 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 7.94/1.74 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 7.94/1.74 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 7.94/1.74 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 7.94/1.74 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 7.94/1.74 ( ~( ssPv15_11r1r1r1r1r1r1r1r1r1r1r1 @
% 7.94/1.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) )),
% 7.94/1.74 inference('cnf.neg', [status(esa)], [clause184])).
% 7.94/1.74 thf(zip_derived_cl352, plain,
% 7.94/1.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 7.94/1.74 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 7.94/1.74 ( (ssPv15_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 7.94/1.74 | ~ (ssNder1_0)
% 7.94/1.74 | ~ (ssNder1_1r1 @ X0)
% 7.94/1.74 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 7.94/1.74 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 7.94/1.74 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 7.94/1.74 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 7.94/1.74 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 7.94/1.74 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 7.94/1.74 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 7.94/1.74 X7)
% 7.94/1.74 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 7.94/1.74 X6 @ X7 @ X8)
% 7.94/1.74 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 7.94/1.74 X6 @ X7 @ X8 @ X9)
% 7.94/1.74 | ~ (ssPv15_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 7.94/1.74 X6 @ X7 @ X8 @ X9 @ X10))),
% 7.94/1.74 inference('cnf', [status(esa)], [zf_stmt_46])).
% 7.94/1.74 thf(zip_derived_cl535, plain, ( (ssNder1_0)),
% 7.94/1.74 inference('cnf', [status(esa)], [zf_stmt_1])).
% 7.94/1.74 thf(zip_derived_cl541, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 7.94/1.74 inference('demod', [status(thm)], [zip_derived_cl534, zip_derived_cl535])).
% 7.94/1.74 thf(zip_derived_cl542, plain,
% 7.94/1.74 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 7.94/1.74 inference('demod', [status(thm)],
% 7.94/1.74 [zip_derived_cl533, zip_derived_cl535, zip_derived_cl541])).
% 7.94/1.74 thf(zip_derived_cl552, plain,
% 7.94/1.74 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 7.94/1.74 inference('demod', [status(thm)],
% 7.94/1.74 [zip_derived_cl525, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.74 zip_derived_cl542])).
% 7.94/1.74 thf(zip_derived_cl572, plain,
% 7.94/1.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.94/1.74 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 7.94/1.74 inference('demod', [status(thm)],
% 7.94/1.74 [zip_derived_cl518, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.74 zip_derived_cl542, zip_derived_cl552])).
% 7.94/1.74 thf(zip_derived_cl596, plain,
% 7.94/1.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 7.94/1.74 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 7.94/1.74 inference('demod', [status(thm)],
% 7.94/1.74 [zip_derived_cl503, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.74 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572])).
% 7.94/1.74 thf(zip_derived_cl619, plain,
% 7.94/1.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 7.94/1.74 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 7.94/1.74 inference('demod', [status(thm)],
% 7.94/1.74 [zip_derived_cl486, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.74 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.74 zip_derived_cl596])).
% 7.94/1.74 thf(zip_derived_cl644, plain,
% 7.94/1.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 7.94/1.74 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 7.94/1.74 inference('demod', [status(thm)],
% 7.94/1.74 [zip_derived_cl471, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.74 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.74 zip_derived_cl596, zip_derived_cl619])).
% 7.94/1.74 thf(zip_derived_cl675, plain,
% 7.94/1.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 7.94/1.74 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 7.94/1.74 inference('demod', [status(thm)],
% 7.94/1.74 [zip_derived_cl449, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.74 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.74 zip_derived_cl596, zip_derived_cl619, zip_derived_cl644])).
% 7.94/1.74 thf(zip_derived_cl719, plain,
% 7.94/1.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 7.94/1.74 X7 : $i, X8 : $i]:
% 7.94/1.74 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 7.94/1.74 X7 @ X8)),
% 7.94/1.74 inference('demod', [status(thm)],
% 7.94/1.74 [zip_derived_cl425, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.74 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.74 zip_derived_cl596, zip_derived_cl619, zip_derived_cl644,
% 7.94/1.74 zip_derived_cl675])).
% 7.94/1.74 thf(zip_derived_cl776, plain,
% 7.94/1.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 7.94/1.74 X7 : $i, X8 : $i, X9 : $i]:
% 7.94/1.74 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 7.94/1.74 X7 @ X8 @ X9)),
% 7.94/1.74 inference('demod', [status(thm)],
% 7.94/1.74 [zip_derived_cl397, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.74 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.74 zip_derived_cl596, zip_derived_cl619, zip_derived_cl644,
% 7.94/1.74 zip_derived_cl675, zip_derived_cl719])).
% 7.94/1.74 thf(zip_derived_cl839, plain,
% 7.94/1.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 7.94/1.74 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 7.94/1.74 ( (ssPv15_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 7.94/1.74 | ~ (ssPv15_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 7.94/1.74 X6 @ X7 @ X8 @ X9 @ X10))),
% 7.94/1.74 inference('demod', [status(thm)],
% 7.94/1.74 [zip_derived_cl352, zip_derived_cl535, zip_derived_cl541,
% 7.94/1.74 zip_derived_cl542, zip_derived_cl552, zip_derived_cl572,
% 7.94/1.74 zip_derived_cl596, zip_derived_cl619, zip_derived_cl644,
% 7.94/1.74 zip_derived_cl675, zip_derived_cl719, zip_derived_cl776])).
% 7.94/1.74 thf(zip_derived_cl1233, plain,
% 7.94/1.74 (![X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i, X8 : $i,
% 7.94/1.74 X9 : $i, X10 : $i]:
% 7.94/1.74 (~ (ssPv12_9r1r1r1r1r1r1r1r1r1 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @
% 7.94/1.74 X3 @ X2)
% 7.94/1.74 | ~ (ssPv13_8r1r1r1r1r1r1r1r1 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @
% 7.94/1.74 X3)
% 7.94/1.74 | (ssPv15_6r1r1r1r1r1r1 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5))),
% 7.94/1.74 inference('sup-', [status(thm)], [zip_derived_cl1232, zip_derived_cl839])).
% 7.94/1.74 thf(zip_derived_cl1351, plain,
% 7.94/1.74 (![X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i, X8 : $i]:
% 7.94/1.74 (~ (ssPv14_7r1r1r1r1r1r1r1 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2)
% 7.94/1.74 | (ssPv15_6r1r1r1r1r1r1 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3)
% 7.94/1.74 | ~ (ssPv13_8r1r1r1r1r1r1r1r1 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1))),
% 7.94/1.74 inference('sup-', [status(thm)], [zip_derived_cl1349, zip_derived_cl1233])).
% 7.94/1.74 thf(zip_derived_cl1352, plain,
% 7.94/1.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 7.94/1.74 ( (ssPv15_6r1r1r1r1r1r1 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1)
% 7.94/1.74 | ~ (ssPv14_7r1r1r1r1r1r1r1 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0))),
% 7.94/1.74 inference('sup-', [status(thm)], [zip_derived_cl648, zip_derived_cl1351])).
% 7.94/1.74 thf(zip_derived_cl1353, plain,
% 7.94/1.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 7.94/1.74 (ssPv15_6r1r1r1r1r1r1 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)),
% 7.94/1.74 inference('sup-', [status(thm)], [zip_derived_cl618, zip_derived_cl1352])).
% 7.94/1.74 thf(zip_derived_cl1354, plain, ($false),
% 7.94/1.74 inference('demod', [status(thm)], [zip_derived_cl573, zip_derived_cl1353])).
% 7.94/1.74
% 7.94/1.74 % SZS output end Refutation
% 7.94/1.74
% 7.94/1.74
% 7.94/1.74 % Terminating...
% 7.94/1.76 % Runner terminated.
% 7.94/1.77 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------