%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYN871-1 : TPTP v9.2.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.3uP9jAD68U true
% Computer : n025.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Oct 2 05:05:52 PM UTC 2025
% Result : Unsatisfiable 3.39s 1.15s
% Output : Refutation 3.39s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.16 % Problem : SYN871-1 : TPTP v9.2.0. Released v2.5.0.
% 0.03/0.17 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.3uP9jAD68U true
% 0.11/0.37 % Computer : n025.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8042.1875MB
% 0.11/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Wed Oct 1 13:42:08 EDT 2025
% 0.11/0.37 % CPUTime :
% 0.11/0.37 % Running portfolio for 300 s
% 0.11/0.37 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.38 % Number of cores: 8
% 0.11/0.38 % Python version: Python 3.6.8
% 0.17/0.39 % Running in FO mode
% 0.48/0.66 % Total configuration time : 435
% 0.48/0.66 % Estimated wc time : 1092
% 0.48/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.49/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.49/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.49/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.50/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.50/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.50/0.80 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.50/0.81 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 3.39/1.15 % Solved by fo/fo7.sh.
% 3.39/1.15 % done 114 iterations in 0.244s
% 3.39/1.15 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 3.39/1.15 % SZS output start Refutation
% 3.39/1.15 thf(ssNder1_3r1r1r1_type, type, ssNder1_3r1r1r1: $i > $i > $i > $o).
% 3.39/1.15 thf(ssNder1_1r1_type, type, ssNder1_1r1: $i > $o).
% 3.39/1.15 thf(ssPv11_10r1r1r1r1r1r1r1r1r1r1_type, type, ssPv11_10r1r1r1r1r1r1r1r1r1r1:
% 3.39/1.15 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 3.39/1.15 thf(ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1:
% 3.39/1.15 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 3.39/1.15 thf(ssNder1_5r1r1r1r1r1_type, type, ssNder1_5r1r1r1r1r1: $i > $i > $i > $i >
% 3.39/1.15 $i > $o).
% 3.39/1.15 thf(ssNder1_8r1r1r1r1r1r1r1r1_type, type, ssNder1_8r1r1r1r1r1r1r1r1:
% 3.39/1.15 $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 3.39/1.15 thf(ssNder1_10r1r1r1r1r1r1r1r1r1r1_type, type, ssNder1_10r1r1r1r1r1r1r1r1r1r1:
% 3.39/1.15 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 3.39/1.15 thf(ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 3.39/1.15 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 3.39/1.15 thf(skc20_type, type, skc20: $i).
% 3.39/1.15 thf(ssPv19_2r1r1_type, type, ssPv19_2r1r1: $i > $i > $o).
% 3.39/1.15 thf(ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 3.39/1.15 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 3.39/1.15 thf(ssPv15_6r1r1r1r1r1r1_type, type, ssPv15_6r1r1r1r1r1r1: $i > $i > $i >
% 3.39/1.15 $i > $i > $i > $o).
% 3.39/1.15 thf(skc26_type, type, skc26: $i).
% 3.39/1.15 thf(ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 3.39/1.15 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 3.39/1.15 thf(ssNder1_6r1r1r1r1r1r1_type, type, ssNder1_6r1r1r1r1r1r1: $i > $i > $i >
% 3.39/1.15 $i > $i > $i > $o).
% 3.39/1.15 thf(skc24_type, type, skc24: $i).
% 3.39/1.15 thf(ssPv2_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssPv2_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 3.39/1.15 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i >
% 3.39/1.15 $i > $i > $i > $i > $i > $o).
% 3.39/1.15 thf(skc28_type, type, skc28: $i).
% 3.39/1.15 thf(ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 3.39/1.15 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i >
% 3.39/1.15 $i > $i > $o).
% 3.39/1.15 thf(skc18_type, type, skc18: $i).
% 3.39/1.15 thf(ssNder1_11r1r1r1r1r1r1r1r1r1r1r1_type, type, ssNder1_11r1r1r1r1r1r1r1r1r1r1r1:
% 3.39/1.15 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 3.39/1.15 thf(ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 3.39/1.15 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 3.39/1.15 thf(skc31_type, type, skc31: $i).
% 3.39/1.15 thf(ssNder1_7r1r1r1r1r1r1r1_type, type, ssNder1_7r1r1r1r1r1r1r1: $i > $i >
% 3.39/1.15 $i > $i >
% 3.39/1.15 $i > $i > $i > $o).
% 3.39/1.15 thf(skc21_type, type, skc21: $i).
% 3.39/1.15 thf(ssNder1_9r1r1r1r1r1r1r1r1r1_type, type, ssNder1_9r1r1r1r1r1r1r1r1r1:
% 3.39/1.15 $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 3.39/1.15 thf(ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 3.39/1.15 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 3.39/1.15 thf(ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 3.39/1.15 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i >
% 3.39/1.15 $i > $i > $i > $i > $o).
% 3.39/1.15 thf(ssPv13_8r1r1r1r1r1r1r1r1_type, type, ssPv13_8r1r1r1r1r1r1r1r1: $i > $i >
% 3.39/1.15 $i > $i >
% 3.39/1.15 $i > $i >
% 3.39/1.15 $i > $i > $o).
% 3.39/1.15 thf(ssNder1_0_type, type, ssNder1_0: $o).
% 3.39/1.15 thf(skc23_type, type, skc23: $i).
% 3.39/1.15 thf(ssNder1_4r1r1r1r1_type, type, ssNder1_4r1r1r1r1: $i > $i > $i > $i > $o).
% 3.39/1.15 thf(ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 3.39/1.15 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i >
% 3.39/1.15 $i > $i > $i > $o).
% 3.39/1.15 thf(ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 3.39/1.15 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i >
% 3.39/1.15 $i > $i > $o).
% 3.39/1.15 thf(skc17_type, type, skc17: $i).
% 3.39/1.15 thf(ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 3.39/1.15 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i >
% 3.39/1.15 $i > $i > $i > $o).
% 3.39/1.15 thf(skc16_type, type, skc16: $i).
% 3.39/1.15 thf(ssPv14_7r1r1r1r1r1r1r1_type, type, ssPv14_7r1r1r1r1r1r1r1: $i > $i >
% 3.39/1.15 $i > $i >
% 3.39/1.15 $i > $i > $i > $o).
% 3.39/1.15 thf(ssPv16_5r1r1r1r1r1_type, type, ssPv16_5r1r1r1r1r1: $i > $i > $i > $i > $i > $o).
% 3.39/1.15 thf(ssNder1_2r1r1_type, type, ssNder1_2r1r1: $i > $i > $o).
% 3.39/1.15 thf(ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 3.39/1.15 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 3.39/1.15 thf(clause7, conjecture,
% 3.39/1.15 (~( ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 3.39/1.15 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 3.39/1.15 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 3.39/1.15 ( ~( ssPv16_5r1r1r1r1r1 @ U @ V @ W @ X @ skc31 ) ) ))).
% 3.39/1.15 thf(zf_stmt_0, negated_conjecture,
% 3.39/1.15 (( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 3.39/1.15 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 3.39/1.15 ( ~( ssPv16_5r1r1r1r1r1 @ U @ V @ W @ X @ skc31 ) )),
% 3.39/1.15 inference('cnf.neg', [status(esa)], [clause7])).
% 3.39/1.15 thf(zip_derived_cl49, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 3.39/1.15 (~ (ssNder1_0)
% 3.39/1.15 | ~ (ssNder1_1r1 @ X0)
% 3.39/1.15 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 3.39/1.15 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 3.39/1.15 | ~ (ssPv16_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ skc31))),
% 3.39/1.15 inference('cnf', [status(esa)], [zf_stmt_0])).
% 3.39/1.15 thf(clause1, conjecture, (~( ssNder1_0 ))).
% 3.39/1.15 thf(zf_stmt_1, negated_conjecture, (ssNder1_0),
% 3.39/1.15 inference('cnf.neg', [status(esa)], [clause1])).
% 3.39/1.15 thf(zip_derived_cl55, plain, ( (ssNder1_0)),
% 3.39/1.15 inference('cnf', [status(esa)], [zf_stmt_1])).
% 3.39/1.15 thf(zip_derived_cl60, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 3.39/1.15 (~ (ssNder1_1r1 @ X0)
% 3.39/1.15 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 3.39/1.15 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 3.39/1.15 | ~ (ssPv16_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ skc31))),
% 3.39/1.15 inference('demod', [status(thm)], [zip_derived_cl49, zip_derived_cl55])).
% 3.39/1.15 thf(clause2, conjecture, (~( ( ssNder1_1r1 @ U ) | ( ~( ssNder1_0 ) ) ))).
% 3.39/1.15 thf(zf_stmt_2, negated_conjecture,
% 3.39/1.15 (( ssNder1_1r1 @ U ) | ( ~( ssNder1_0 ) )),
% 3.39/1.15 inference('cnf.neg', [status(esa)], [clause2])).
% 3.39/1.15 thf(zip_derived_cl54, plain,
% 3.39/1.15 (![X0 : $i]: ( (ssNder1_1r1 @ X0) | ~ (ssNder1_0))),
% 3.39/1.15 inference('cnf', [status(esa)], [zf_stmt_2])).
% 3.39/1.15 thf(zip_derived_cl55, plain, ( (ssNder1_0)),
% 3.39/1.15 inference('cnf', [status(esa)], [zf_stmt_1])).
% 3.39/1.15 thf(zip_derived_cl61, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 3.39/1.15 inference('demod', [status(thm)], [zip_derived_cl54, zip_derived_cl55])).
% 3.39/1.15 thf(clause3, conjecture,
% 3.39/1.15 (~( ( ssNder1_2r1r1 @ U @ V ) | ( ~( ssNder1_0 ) ) |
% 3.39/1.15 ( ~( ssNder1_1r1 @ U ) ) ))).
% 3.39/1.15 thf(zf_stmt_3, negated_conjecture,
% 3.39/1.15 (( ssNder1_2r1r1 @ U @ V ) | ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) )),
% 3.39/1.15 inference('cnf.neg', [status(esa)], [clause3])).
% 3.39/1.15 thf(zip_derived_cl53, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i]:
% 3.39/1.15 ( (ssNder1_2r1r1 @ X0 @ X1) | ~ (ssNder1_0) | ~ (ssNder1_1r1 @ X0))),
% 3.39/1.15 inference('cnf', [status(esa)], [zf_stmt_3])).
% 3.39/1.15 thf(zip_derived_cl55, plain, ( (ssNder1_0)),
% 3.39/1.15 inference('cnf', [status(esa)], [zf_stmt_1])).
% 3.39/1.15 thf(zip_derived_cl61, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 3.39/1.15 inference('demod', [status(thm)], [zip_derived_cl54, zip_derived_cl55])).
% 3.39/1.15 thf(zip_derived_cl62, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl53, zip_derived_cl55, zip_derived_cl61])).
% 3.39/1.15 thf(clause4, conjecture,
% 3.39/1.15 (~( ( ssNder1_3r1r1r1 @ U @ V @ W ) | ( ~( ssNder1_0 ) ) |
% 3.39/1.15 ( ~( ssNder1_1r1 @ U ) ) | ( ~( ssNder1_2r1r1 @ U @ V ) ) ))).
% 3.39/1.15 thf(zf_stmt_4, negated_conjecture,
% 3.39/1.15 (( ssNder1_3r1r1r1 @ U @ V @ W ) | ( ~( ssNder1_0 ) ) |
% 3.39/1.15 ( ~( ssNder1_1r1 @ U ) ) | ( ~( ssNder1_2r1r1 @ U @ V ) )),
% 3.39/1.15 inference('cnf.neg', [status(esa)], [clause4])).
% 3.39/1.15 thf(zip_derived_cl52, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.39/1.15 ( (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 3.39/1.15 | ~ (ssNder1_0)
% 3.39/1.15 | ~ (ssNder1_1r1 @ X0)
% 3.39/1.15 | ~ (ssNder1_2r1r1 @ X0 @ X1))),
% 3.39/1.15 inference('cnf', [status(esa)], [zf_stmt_4])).
% 3.39/1.15 thf(zip_derived_cl55, plain, ( (ssNder1_0)),
% 3.39/1.15 inference('cnf', [status(esa)], [zf_stmt_1])).
% 3.39/1.15 thf(zip_derived_cl61, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 3.39/1.15 inference('demod', [status(thm)], [zip_derived_cl54, zip_derived_cl55])).
% 3.39/1.15 thf(zip_derived_cl62, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl53, zip_derived_cl55, zip_derived_cl61])).
% 3.39/1.15 thf(zip_derived_cl63, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl52, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62])).
% 3.39/1.15 thf(zip_derived_cl69, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 3.39/1.15 ~ (ssPv16_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ skc31)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl60, zip_derived_cl61, zip_derived_cl62,
% 3.39/1.15 zip_derived_cl63])).
% 3.39/1.15 thf(clause9, conjecture,
% 3.39/1.15 (~( ( ssPv15_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ skc28 ) |
% 3.39/1.15 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 3.39/1.15 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 3.39/1.15 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 3.39/1.15 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) ))).
% 3.39/1.15 thf(zf_stmt_5, negated_conjecture,
% 3.39/1.15 (( ssPv15_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ skc28 ) |
% 3.39/1.15 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 3.39/1.15 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 3.39/1.15 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) )),
% 3.39/1.15 inference('cnf.neg', [status(esa)], [clause9])).
% 3.39/1.15 thf(zip_derived_cl47, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 3.39/1.15 ( (ssPv15_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ skc28)
% 3.39/1.15 | ~ (ssNder1_0)
% 3.39/1.15 | ~ (ssNder1_1r1 @ X0)
% 3.39/1.15 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 3.39/1.15 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 3.39/1.15 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3))),
% 3.39/1.15 inference('cnf', [status(esa)], [zf_stmt_5])).
% 3.39/1.15 thf(zip_derived_cl55, plain, ( (ssNder1_0)),
% 3.39/1.15 inference('cnf', [status(esa)], [zf_stmt_1])).
% 3.39/1.15 thf(zip_derived_cl61, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 3.39/1.15 inference('demod', [status(thm)], [zip_derived_cl54, zip_derived_cl55])).
% 3.39/1.15 thf(zip_derived_cl62, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl53, zip_derived_cl55, zip_derived_cl61])).
% 3.39/1.15 thf(zip_derived_cl63, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl52, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62])).
% 3.39/1.15 thf(clause5, conjecture,
% 3.39/1.15 (~( ( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) | ( ~( ssNder1_0 ) ) |
% 3.39/1.15 ( ~( ssNder1_1r1 @ U ) ) | ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 3.39/1.15 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) ))).
% 3.39/1.15 thf(zf_stmt_6, negated_conjecture,
% 3.39/1.15 (( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) | ( ~( ssNder1_0 ) ) |
% 3.39/1.15 ( ~( ssNder1_1r1 @ U ) ) | ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 3.39/1.15 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) )),
% 3.39/1.15 inference('cnf.neg', [status(esa)], [clause5])).
% 3.39/1.15 thf(zip_derived_cl51, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 3.39/1.15 ( (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 3.39/1.15 | ~ (ssNder1_0)
% 3.39/1.15 | ~ (ssNder1_1r1 @ X0)
% 3.39/1.15 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 3.39/1.15 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2))),
% 3.39/1.15 inference('cnf', [status(esa)], [zf_stmt_6])).
% 3.39/1.15 thf(zip_derived_cl55, plain, ( (ssNder1_0)),
% 3.39/1.15 inference('cnf', [status(esa)], [zf_stmt_1])).
% 3.39/1.15 thf(zip_derived_cl61, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 3.39/1.15 inference('demod', [status(thm)], [zip_derived_cl54, zip_derived_cl55])).
% 3.39/1.15 thf(zip_derived_cl62, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl53, zip_derived_cl55, zip_derived_cl61])).
% 3.39/1.15 thf(zip_derived_cl63, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl52, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62])).
% 3.39/1.15 thf(zip_derived_cl64, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 3.39/1.15 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl51, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62, zip_derived_cl63])).
% 3.39/1.15 thf(zip_derived_cl67, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 3.39/1.15 (ssPv15_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ skc28)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl47, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64])).
% 3.39/1.15 thf(clause31, conjecture,
% 3.39/1.15 (~( ( ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ skc18 ) |
% 3.39/1.15 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 3.39/1.15 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 3.39/1.15 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 3.39/1.15 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 3.39/1.15 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 3.39/1.15 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 3.39/1.15 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 3.39/1.15 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 3.39/1.15 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 3.39/1.15 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 3.39/1.15 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 3.39/1.15 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 3.39/1.15 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) ))).
% 3.39/1.15 thf(zf_stmt_7, negated_conjecture,
% 3.39/1.15 (( ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ skc18 ) |
% 3.39/1.15 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 3.39/1.15 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 3.39/1.15 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 3.39/1.15 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 3.39/1.15 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 3.39/1.15 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 3.39/1.15 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 3.39/1.15 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 3.39/1.15 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 3.39/1.15 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 3.39/1.15 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 3.39/1.15 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) )),
% 3.39/1.15 inference('cnf.neg', [status(esa)], [clause31])).
% 3.39/1.15 thf(zip_derived_cl25, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.39/1.15 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 3.39/1.15 ( (ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.39/1.15 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ skc18)
% 3.39/1.15 | ~ (ssNder1_0)
% 3.39/1.15 | ~ (ssNder1_1r1 @ X0)
% 3.39/1.15 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 3.39/1.15 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 3.39/1.15 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 3.39/1.15 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 3.39/1.15 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 3.39/1.15 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 3.39/1.15 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 3.39/1.15 X7)
% 3.39/1.15 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 3.39/1.15 X6 @ X7 @ X8)
% 3.39/1.15 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 3.39/1.15 X6 @ X7 @ X8 @ X9)
% 3.39/1.15 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.39/1.15 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 3.39/1.15 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.39/1.15 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 3.39/1.15 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.39/1.15 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12))),
% 3.39/1.15 inference('cnf', [status(esa)], [zf_stmt_7])).
% 3.39/1.15 thf(zip_derived_cl55, plain, ( (ssNder1_0)),
% 3.39/1.15 inference('cnf', [status(esa)], [zf_stmt_1])).
% 3.39/1.15 thf(zip_derived_cl61, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 3.39/1.15 inference('demod', [status(thm)], [zip_derived_cl54, zip_derived_cl55])).
% 3.39/1.15 thf(zip_derived_cl62, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl53, zip_derived_cl55, zip_derived_cl61])).
% 3.39/1.15 thf(zip_derived_cl63, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl52, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62])).
% 3.39/1.15 thf(zip_derived_cl64, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 3.39/1.15 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl51, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62, zip_derived_cl63])).
% 3.39/1.15 thf(clause8, conjecture,
% 3.39/1.15 (~( ( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) | ( ~( ssNder1_0 ) ) |
% 3.39/1.15 ( ~( ssNder1_1r1 @ U ) ) | ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 3.39/1.15 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 3.39/1.15 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) ))).
% 3.39/1.15 thf(zf_stmt_8, negated_conjecture,
% 3.39/1.15 (( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) | ( ~( ssNder1_0 ) ) |
% 3.39/1.15 ( ~( ssNder1_1r1 @ U ) ) | ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 3.39/1.15 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 3.39/1.15 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) )),
% 3.39/1.15 inference('cnf.neg', [status(esa)], [clause8])).
% 3.39/1.15 thf(zip_derived_cl48, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 3.39/1.15 ( (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 3.39/1.15 | ~ (ssNder1_0)
% 3.39/1.15 | ~ (ssNder1_1r1 @ X0)
% 3.39/1.15 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 3.39/1.15 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 3.39/1.15 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3))),
% 3.39/1.15 inference('cnf', [status(esa)], [zf_stmt_8])).
% 3.39/1.15 thf(zip_derived_cl55, plain, ( (ssNder1_0)),
% 3.39/1.15 inference('cnf', [status(esa)], [zf_stmt_1])).
% 3.39/1.15 thf(zip_derived_cl61, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 3.39/1.15 inference('demod', [status(thm)], [zip_derived_cl54, zip_derived_cl55])).
% 3.39/1.15 thf(zip_derived_cl62, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl53, zip_derived_cl55, zip_derived_cl61])).
% 3.39/1.15 thf(zip_derived_cl63, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl52, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62])).
% 3.39/1.15 thf(zip_derived_cl64, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 3.39/1.15 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl51, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62, zip_derived_cl63])).
% 3.39/1.15 thf(zip_derived_cl66, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 3.39/1.15 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl48, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64])).
% 3.39/1.15 thf(clause11, conjecture,
% 3.39/1.15 (~( ( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) |
% 3.39/1.15 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 3.39/1.15 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 3.39/1.15 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 3.39/1.15 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 3.39/1.15 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) ))).
% 3.39/1.15 thf(zf_stmt_9, negated_conjecture,
% 3.39/1.15 (( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) | ( ~( ssNder1_0 ) ) |
% 3.39/1.15 ( ~( ssNder1_1r1 @ U ) ) | ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 3.39/1.15 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 3.39/1.15 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 3.39/1.15 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) )),
% 3.39/1.15 inference('cnf.neg', [status(esa)], [clause11])).
% 3.39/1.15 thf(zip_derived_cl45, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 3.39/1.15 ( (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 3.39/1.15 | ~ (ssNder1_0)
% 3.39/1.15 | ~ (ssNder1_1r1 @ X0)
% 3.39/1.15 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 3.39/1.15 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 3.39/1.15 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 3.39/1.15 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4))),
% 3.39/1.15 inference('cnf', [status(esa)], [zf_stmt_9])).
% 3.39/1.15 thf(zip_derived_cl55, plain, ( (ssNder1_0)),
% 3.39/1.15 inference('cnf', [status(esa)], [zf_stmt_1])).
% 3.39/1.15 thf(zip_derived_cl61, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 3.39/1.15 inference('demod', [status(thm)], [zip_derived_cl54, zip_derived_cl55])).
% 3.39/1.15 thf(zip_derived_cl62, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl53, zip_derived_cl55, zip_derived_cl61])).
% 3.39/1.15 thf(zip_derived_cl63, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl52, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62])).
% 3.39/1.15 thf(zip_derived_cl64, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 3.39/1.15 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl51, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62, zip_derived_cl63])).
% 3.39/1.15 thf(zip_derived_cl66, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 3.39/1.15 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl48, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64])).
% 3.39/1.15 thf(zip_derived_cl68, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 3.39/1.15 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl45, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64,
% 3.39/1.15 zip_derived_cl66])).
% 3.39/1.15 thf(clause14, conjecture,
% 3.39/1.15 (~( ( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) |
% 3.39/1.15 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 3.39/1.15 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 3.39/1.15 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 3.39/1.15 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 3.39/1.15 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 3.39/1.15 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) ))).
% 3.39/1.15 thf(zf_stmt_10, negated_conjecture,
% 3.39/1.15 (( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) |
% 3.39/1.15 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 3.39/1.15 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 3.39/1.15 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 3.39/1.15 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 3.39/1.15 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) )),
% 3.39/1.15 inference('cnf.neg', [status(esa)], [clause14])).
% 3.39/1.15 thf(zip_derived_cl42, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 3.39/1.15 ( (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 3.39/1.15 | ~ (ssNder1_0)
% 3.39/1.15 | ~ (ssNder1_1r1 @ X0)
% 3.39/1.15 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 3.39/1.15 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 3.39/1.15 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 3.39/1.15 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 3.39/1.15 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5))),
% 3.39/1.15 inference('cnf', [status(esa)], [zf_stmt_10])).
% 3.39/1.15 thf(zip_derived_cl55, plain, ( (ssNder1_0)),
% 3.39/1.15 inference('cnf', [status(esa)], [zf_stmt_1])).
% 3.39/1.15 thf(zip_derived_cl61, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 3.39/1.15 inference('demod', [status(thm)], [zip_derived_cl54, zip_derived_cl55])).
% 3.39/1.15 thf(zip_derived_cl62, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl53, zip_derived_cl55, zip_derived_cl61])).
% 3.39/1.15 thf(zip_derived_cl63, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl52, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62])).
% 3.39/1.15 thf(zip_derived_cl64, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 3.39/1.15 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl51, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62, zip_derived_cl63])).
% 3.39/1.15 thf(zip_derived_cl66, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 3.39/1.15 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl48, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64])).
% 3.39/1.15 thf(zip_derived_cl68, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 3.39/1.15 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl45, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64,
% 3.39/1.15 zip_derived_cl66])).
% 3.39/1.15 thf(zip_derived_cl75, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 3.39/1.15 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl42, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64,
% 3.39/1.15 zip_derived_cl66, zip_derived_cl68])).
% 3.39/1.15 thf(clause17, conjecture,
% 3.39/1.15 (~( ( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) |
% 3.39/1.15 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 3.39/1.15 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 3.39/1.15 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 3.39/1.15 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 3.39/1.15 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 3.39/1.15 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 3.39/1.15 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) ))).
% 3.39/1.15 thf(zf_stmt_11, negated_conjecture,
% 3.39/1.15 (( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) |
% 3.39/1.15 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 3.39/1.15 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 3.39/1.15 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 3.39/1.15 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 3.39/1.15 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 3.39/1.15 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) )),
% 3.39/1.15 inference('cnf.neg', [status(esa)], [clause17])).
% 3.39/1.15 thf(zip_derived_cl39, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 3.39/1.15 ( (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)
% 3.39/1.15 | ~ (ssNder1_0)
% 3.39/1.15 | ~ (ssNder1_1r1 @ X0)
% 3.39/1.15 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 3.39/1.15 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 3.39/1.15 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 3.39/1.15 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 3.39/1.15 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 3.39/1.15 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6))),
% 3.39/1.15 inference('cnf', [status(esa)], [zf_stmt_11])).
% 3.39/1.15 thf(zip_derived_cl55, plain, ( (ssNder1_0)),
% 3.39/1.15 inference('cnf', [status(esa)], [zf_stmt_1])).
% 3.39/1.15 thf(zip_derived_cl61, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 3.39/1.15 inference('demod', [status(thm)], [zip_derived_cl54, zip_derived_cl55])).
% 3.39/1.15 thf(zip_derived_cl62, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl53, zip_derived_cl55, zip_derived_cl61])).
% 3.39/1.15 thf(zip_derived_cl63, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl52, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62])).
% 3.39/1.15 thf(zip_derived_cl64, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 3.39/1.15 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl51, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62, zip_derived_cl63])).
% 3.39/1.15 thf(zip_derived_cl66, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 3.39/1.15 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl48, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64])).
% 3.39/1.15 thf(zip_derived_cl68, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 3.39/1.15 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl45, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64,
% 3.39/1.15 zip_derived_cl66])).
% 3.39/1.15 thf(zip_derived_cl75, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 3.39/1.15 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl42, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64,
% 3.39/1.15 zip_derived_cl66, zip_derived_cl68])).
% 3.39/1.15 thf(zip_derived_cl76, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 3.39/1.15 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl39, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64,
% 3.39/1.15 zip_derived_cl66, zip_derived_cl68, zip_derived_cl75])).
% 3.39/1.15 thf(clause18, conjecture,
% 3.39/1.15 (~( ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) |
% 3.39/1.15 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 3.39/1.15 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 3.39/1.15 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 3.39/1.15 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 3.39/1.15 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 3.39/1.15 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 3.39/1.15 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 3.39/1.15 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) ))).
% 3.39/1.15 thf(zf_stmt_12, negated_conjecture,
% 3.39/1.15 (( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) |
% 3.39/1.15 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 3.39/1.15 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 3.39/1.15 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 3.39/1.15 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 3.39/1.15 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 3.39/1.15 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 3.39/1.15 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) )),
% 3.39/1.15 inference('cnf.neg', [status(esa)], [clause18])).
% 3.39/1.15 thf(zip_derived_cl38, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.39/1.15 X7 : $i, X8 : $i]:
% 3.39/1.15 ( (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 3.39/1.15 X7 @ X8)
% 3.39/1.15 | ~ (ssNder1_0)
% 3.39/1.15 | ~ (ssNder1_1r1 @ X0)
% 3.39/1.15 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 3.39/1.15 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 3.39/1.15 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 3.39/1.15 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 3.39/1.15 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 3.39/1.15 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 3.39/1.15 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 3.39/1.15 X7))),
% 3.39/1.15 inference('cnf', [status(esa)], [zf_stmt_12])).
% 3.39/1.15 thf(zip_derived_cl55, plain, ( (ssNder1_0)),
% 3.39/1.15 inference('cnf', [status(esa)], [zf_stmt_1])).
% 3.39/1.15 thf(zip_derived_cl61, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 3.39/1.15 inference('demod', [status(thm)], [zip_derived_cl54, zip_derived_cl55])).
% 3.39/1.15 thf(zip_derived_cl62, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl53, zip_derived_cl55, zip_derived_cl61])).
% 3.39/1.15 thf(zip_derived_cl63, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl52, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62])).
% 3.39/1.15 thf(zip_derived_cl64, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 3.39/1.15 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl51, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62, zip_derived_cl63])).
% 3.39/1.15 thf(zip_derived_cl66, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 3.39/1.15 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl48, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64])).
% 3.39/1.15 thf(zip_derived_cl68, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 3.39/1.15 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl45, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64,
% 3.39/1.15 zip_derived_cl66])).
% 3.39/1.15 thf(zip_derived_cl75, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 3.39/1.15 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl42, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64,
% 3.39/1.15 zip_derived_cl66, zip_derived_cl68])).
% 3.39/1.15 thf(zip_derived_cl76, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 3.39/1.15 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl39, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64,
% 3.39/1.15 zip_derived_cl66, zip_derived_cl68, zip_derived_cl75])).
% 3.39/1.15 thf(zip_derived_cl77, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.39/1.15 X7 : $i, X8 : $i]:
% 3.39/1.15 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 3.39/1.15 X7 @ X8)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl38, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64,
% 3.39/1.15 zip_derived_cl66, zip_derived_cl68, zip_derived_cl75,
% 3.39/1.15 zip_derived_cl76])).
% 3.39/1.15 thf(clause19, conjecture,
% 3.39/1.15 (~( ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) |
% 3.39/1.15 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 3.39/1.15 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 3.39/1.15 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 3.39/1.15 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 3.39/1.15 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 3.39/1.15 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 3.39/1.15 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 3.39/1.15 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 3.39/1.15 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) ))).
% 3.39/1.15 thf(zf_stmt_13, negated_conjecture,
% 3.39/1.15 (( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) |
% 3.39/1.15 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 3.39/1.15 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 3.39/1.15 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 3.39/1.15 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 3.39/1.15 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 3.39/1.15 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 3.39/1.15 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 3.39/1.15 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) )),
% 3.39/1.15 inference('cnf.neg', [status(esa)], [clause19])).
% 3.39/1.15 thf(zip_derived_cl37, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.39/1.15 X7 : $i, X8 : $i, X9 : $i]:
% 3.39/1.15 ( (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 3.39/1.15 X6 @ X7 @ X8 @ X9)
% 3.39/1.15 | ~ (ssNder1_0)
% 3.39/1.15 | ~ (ssNder1_1r1 @ X0)
% 3.39/1.15 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 3.39/1.15 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 3.39/1.15 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 3.39/1.15 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 3.39/1.15 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 3.39/1.15 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 3.39/1.15 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 3.39/1.15 X7)
% 3.39/1.15 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 3.39/1.15 X6 @ X7 @ X8))),
% 3.39/1.15 inference('cnf', [status(esa)], [zf_stmt_13])).
% 3.39/1.15 thf(zip_derived_cl55, plain, ( (ssNder1_0)),
% 3.39/1.15 inference('cnf', [status(esa)], [zf_stmt_1])).
% 3.39/1.15 thf(zip_derived_cl61, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 3.39/1.15 inference('demod', [status(thm)], [zip_derived_cl54, zip_derived_cl55])).
% 3.39/1.15 thf(zip_derived_cl62, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl53, zip_derived_cl55, zip_derived_cl61])).
% 3.39/1.15 thf(zip_derived_cl63, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl52, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62])).
% 3.39/1.15 thf(zip_derived_cl64, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 3.39/1.15 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl51, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62, zip_derived_cl63])).
% 3.39/1.15 thf(zip_derived_cl66, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 3.39/1.15 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl48, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64])).
% 3.39/1.15 thf(zip_derived_cl68, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 3.39/1.15 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl45, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64,
% 3.39/1.15 zip_derived_cl66])).
% 3.39/1.15 thf(zip_derived_cl75, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 3.39/1.15 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl42, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64,
% 3.39/1.15 zip_derived_cl66, zip_derived_cl68])).
% 3.39/1.15 thf(zip_derived_cl76, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 3.39/1.15 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl39, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64,
% 3.39/1.15 zip_derived_cl66, zip_derived_cl68, zip_derived_cl75])).
% 3.39/1.15 thf(zip_derived_cl77, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.39/1.15 X7 : $i, X8 : $i]:
% 3.39/1.15 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 3.39/1.15 X7 @ X8)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl38, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64,
% 3.39/1.15 zip_derived_cl66, zip_derived_cl68, zip_derived_cl75,
% 3.39/1.15 zip_derived_cl76])).
% 3.39/1.15 thf(zip_derived_cl83, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.39/1.15 X7 : $i, X8 : $i, X9 : $i]:
% 3.39/1.15 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 3.39/1.15 X7 @ X8 @ X9)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl37, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64,
% 3.39/1.15 zip_derived_cl66, zip_derived_cl68, zip_derived_cl75,
% 3.39/1.15 zip_derived_cl76, zip_derived_cl77])).
% 3.39/1.15 thf(clause21, conjecture,
% 3.39/1.15 (~( ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) |
% 3.39/1.15 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 3.39/1.15 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 3.39/1.15 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 3.39/1.15 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 3.39/1.15 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 3.39/1.15 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 3.39/1.15 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 3.39/1.15 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 3.39/1.15 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 3.39/1.15 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) ))).
% 3.39/1.15 thf(zf_stmt_14, negated_conjecture,
% 3.39/1.15 (( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) |
% 3.39/1.15 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 3.39/1.15 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 3.39/1.15 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 3.39/1.15 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 3.39/1.15 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 3.39/1.15 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 3.39/1.15 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 3.39/1.15 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 3.39/1.15 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) )),
% 3.39/1.15 inference('cnf.neg', [status(esa)], [clause21])).
% 3.39/1.15 thf(zip_derived_cl35, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.39/1.15 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 3.39/1.15 ( (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 3.39/1.15 X6 @ X7 @ X8 @ X9 @ X10)
% 3.39/1.15 | ~ (ssNder1_0)
% 3.39/1.15 | ~ (ssNder1_1r1 @ X0)
% 3.39/1.15 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 3.39/1.15 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 3.39/1.15 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 3.39/1.15 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 3.39/1.15 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 3.39/1.15 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 3.39/1.15 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 3.39/1.15 X7)
% 3.39/1.15 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 3.39/1.15 X6 @ X7 @ X8)
% 3.39/1.15 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 3.39/1.15 X6 @ X7 @ X8 @ X9))),
% 3.39/1.15 inference('cnf', [status(esa)], [zf_stmt_14])).
% 3.39/1.15 thf(zip_derived_cl55, plain, ( (ssNder1_0)),
% 3.39/1.15 inference('cnf', [status(esa)], [zf_stmt_1])).
% 3.39/1.15 thf(zip_derived_cl61, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 3.39/1.15 inference('demod', [status(thm)], [zip_derived_cl54, zip_derived_cl55])).
% 3.39/1.15 thf(zip_derived_cl62, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl53, zip_derived_cl55, zip_derived_cl61])).
% 3.39/1.15 thf(zip_derived_cl63, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl52, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62])).
% 3.39/1.15 thf(zip_derived_cl64, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 3.39/1.15 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl51, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62, zip_derived_cl63])).
% 3.39/1.15 thf(zip_derived_cl66, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 3.39/1.15 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl48, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64])).
% 3.39/1.15 thf(zip_derived_cl68, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 3.39/1.15 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl45, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64,
% 3.39/1.15 zip_derived_cl66])).
% 3.39/1.15 thf(zip_derived_cl75, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 3.39/1.15 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl42, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64,
% 3.39/1.15 zip_derived_cl66, zip_derived_cl68])).
% 3.39/1.15 thf(zip_derived_cl76, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 3.39/1.15 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl39, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64,
% 3.39/1.15 zip_derived_cl66, zip_derived_cl68, zip_derived_cl75])).
% 3.39/1.15 thf(zip_derived_cl77, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.39/1.15 X7 : $i, X8 : $i]:
% 3.39/1.15 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 3.39/1.15 X7 @ X8)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl38, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64,
% 3.39/1.15 zip_derived_cl66, zip_derived_cl68, zip_derived_cl75,
% 3.39/1.15 zip_derived_cl76])).
% 3.39/1.15 thf(zip_derived_cl83, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.39/1.15 X7 : $i, X8 : $i, X9 : $i]:
% 3.39/1.15 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 3.39/1.15 X7 @ X8 @ X9)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl37, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64,
% 3.39/1.15 zip_derived_cl66, zip_derived_cl68, zip_derived_cl75,
% 3.39/1.15 zip_derived_cl76, zip_derived_cl77])).
% 3.39/1.15 thf(zip_derived_cl90, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.39/1.15 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 3.39/1.15 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 3.39/1.15 X6 @ X7 @ X8 @ X9 @ X10)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl35, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64,
% 3.39/1.15 zip_derived_cl66, zip_derived_cl68, zip_derived_cl75,
% 3.39/1.15 zip_derived_cl76, zip_derived_cl77, zip_derived_cl83])).
% 3.39/1.15 thf(clause23, conjecture,
% 3.39/1.15 (~( ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) |
% 3.39/1.15 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 3.39/1.15 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 3.39/1.15 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 3.39/1.15 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 3.39/1.15 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 3.39/1.15 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 3.39/1.15 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 3.39/1.15 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 3.39/1.15 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 3.39/1.15 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 3.39/1.15 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) ))).
% 3.39/1.15 thf(zf_stmt_15, negated_conjecture,
% 3.39/1.15 (( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) |
% 3.39/1.15 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 3.39/1.15 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 3.39/1.15 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 3.39/1.15 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 3.39/1.15 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 3.39/1.15 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 3.39/1.15 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 3.39/1.15 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 3.39/1.15 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 3.39/1.15 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) )),
% 3.39/1.15 inference('cnf.neg', [status(esa)], [clause23])).
% 3.39/1.15 thf(zip_derived_cl33, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.39/1.15 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 3.39/1.15 ( (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 3.39/1.15 X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 3.39/1.15 | ~ (ssNder1_0)
% 3.39/1.15 | ~ (ssNder1_1r1 @ X0)
% 3.39/1.15 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 3.39/1.15 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 3.39/1.15 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 3.39/1.15 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 3.39/1.15 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 3.39/1.15 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 3.39/1.15 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 3.39/1.15 X7)
% 3.39/1.15 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 3.39/1.15 X6 @ X7 @ X8)
% 3.39/1.15 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 3.39/1.15 X6 @ X7 @ X8 @ X9)
% 3.39/1.15 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.39/1.15 X5 @ X6 @ X7 @ X8 @ X9 @ X10))),
% 3.39/1.15 inference('cnf', [status(esa)], [zf_stmt_15])).
% 3.39/1.15 thf(zip_derived_cl55, plain, ( (ssNder1_0)),
% 3.39/1.15 inference('cnf', [status(esa)], [zf_stmt_1])).
% 3.39/1.15 thf(zip_derived_cl61, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 3.39/1.15 inference('demod', [status(thm)], [zip_derived_cl54, zip_derived_cl55])).
% 3.39/1.15 thf(zip_derived_cl62, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl53, zip_derived_cl55, zip_derived_cl61])).
% 3.39/1.15 thf(zip_derived_cl63, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl52, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62])).
% 3.39/1.15 thf(zip_derived_cl64, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 3.39/1.15 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl51, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62, zip_derived_cl63])).
% 3.39/1.15 thf(zip_derived_cl66, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 3.39/1.15 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl48, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64])).
% 3.39/1.15 thf(zip_derived_cl68, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 3.39/1.15 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl45, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64,
% 3.39/1.15 zip_derived_cl66])).
% 3.39/1.15 thf(zip_derived_cl75, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 3.39/1.15 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl42, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64,
% 3.39/1.15 zip_derived_cl66, zip_derived_cl68])).
% 3.39/1.15 thf(zip_derived_cl76, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 3.39/1.15 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl39, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64,
% 3.39/1.15 zip_derived_cl66, zip_derived_cl68, zip_derived_cl75])).
% 3.39/1.15 thf(zip_derived_cl77, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.39/1.15 X7 : $i, X8 : $i]:
% 3.39/1.15 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 3.39/1.15 X7 @ X8)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl38, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64,
% 3.39/1.15 zip_derived_cl66, zip_derived_cl68, zip_derived_cl75,
% 3.39/1.15 zip_derived_cl76])).
% 3.39/1.15 thf(zip_derived_cl83, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.39/1.15 X7 : $i, X8 : $i, X9 : $i]:
% 3.39/1.15 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 3.39/1.15 X7 @ X8 @ X9)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl37, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64,
% 3.39/1.15 zip_derived_cl66, zip_derived_cl68, zip_derived_cl75,
% 3.39/1.15 zip_derived_cl76, zip_derived_cl77])).
% 3.39/1.15 thf(zip_derived_cl90, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.39/1.15 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 3.39/1.15 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 3.39/1.15 X6 @ X7 @ X8 @ X9 @ X10)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl35, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64,
% 3.39/1.15 zip_derived_cl66, zip_derived_cl68, zip_derived_cl75,
% 3.39/1.15 zip_derived_cl76, zip_derived_cl77, zip_derived_cl83])).
% 3.39/1.15 thf(zip_derived_cl91, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.39/1.15 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 3.39/1.15 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 3.39/1.15 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl33, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64,
% 3.39/1.15 zip_derived_cl66, zip_derived_cl68, zip_derived_cl75,
% 3.39/1.15 zip_derived_cl76, zip_derived_cl77, zip_derived_cl83,
% 3.39/1.15 zip_derived_cl90])).
% 3.39/1.15 thf(clause27, conjecture,
% 3.39/1.15 (~( ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) |
% 3.39/1.15 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 3.39/1.15 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 3.39/1.15 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 3.39/1.15 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 3.39/1.15 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 3.39/1.15 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 3.39/1.15 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 3.39/1.15 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 3.39/1.15 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 3.39/1.15 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 3.39/1.15 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 3.39/1.15 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) ))).
% 3.39/1.15 thf(zf_stmt_16, negated_conjecture,
% 3.39/1.15 (( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) |
% 3.39/1.15 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 3.39/1.15 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 3.39/1.15 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 3.39/1.15 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 3.39/1.15 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 3.39/1.15 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 3.39/1.15 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 3.39/1.15 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 3.39/1.15 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 3.39/1.15 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 3.39/1.15 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) )),
% 3.39/1.15 inference('cnf.neg', [status(esa)], [clause27])).
% 3.39/1.15 thf(zip_derived_cl29, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.39/1.15 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 3.39/1.15 ( (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.39/1.15 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 3.39/1.15 | ~ (ssNder1_0)
% 3.39/1.15 | ~ (ssNder1_1r1 @ X0)
% 3.39/1.15 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 3.39/1.15 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 3.39/1.15 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 3.39/1.15 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 3.39/1.15 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 3.39/1.15 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 3.39/1.15 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 3.39/1.15 X7)
% 3.39/1.15 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 3.39/1.15 X6 @ X7 @ X8)
% 3.39/1.15 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 3.39/1.15 X6 @ X7 @ X8 @ X9)
% 3.39/1.15 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.39/1.15 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 3.39/1.15 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.39/1.15 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11))),
% 3.39/1.15 inference('cnf', [status(esa)], [zf_stmt_16])).
% 3.39/1.15 thf(zip_derived_cl55, plain, ( (ssNder1_0)),
% 3.39/1.15 inference('cnf', [status(esa)], [zf_stmt_1])).
% 3.39/1.15 thf(zip_derived_cl61, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 3.39/1.15 inference('demod', [status(thm)], [zip_derived_cl54, zip_derived_cl55])).
% 3.39/1.15 thf(zip_derived_cl62, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl53, zip_derived_cl55, zip_derived_cl61])).
% 3.39/1.15 thf(zip_derived_cl63, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl52, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62])).
% 3.39/1.15 thf(zip_derived_cl64, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 3.39/1.15 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl51, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62, zip_derived_cl63])).
% 3.39/1.15 thf(zip_derived_cl66, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 3.39/1.15 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl48, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64])).
% 3.39/1.15 thf(zip_derived_cl68, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 3.39/1.15 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl45, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64,
% 3.39/1.15 zip_derived_cl66])).
% 3.39/1.15 thf(zip_derived_cl75, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 3.39/1.15 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl42, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64,
% 3.39/1.15 zip_derived_cl66, zip_derived_cl68])).
% 3.39/1.15 thf(zip_derived_cl76, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 3.39/1.15 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl39, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64,
% 3.39/1.15 zip_derived_cl66, zip_derived_cl68, zip_derived_cl75])).
% 3.39/1.15 thf(zip_derived_cl77, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.39/1.15 X7 : $i, X8 : $i]:
% 3.39/1.15 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 3.39/1.15 X7 @ X8)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl38, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64,
% 3.39/1.15 zip_derived_cl66, zip_derived_cl68, zip_derived_cl75,
% 3.39/1.15 zip_derived_cl76])).
% 3.39/1.15 thf(zip_derived_cl83, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.39/1.15 X7 : $i, X8 : $i, X9 : $i]:
% 3.39/1.15 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 3.39/1.15 X7 @ X8 @ X9)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl37, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64,
% 3.39/1.15 zip_derived_cl66, zip_derived_cl68, zip_derived_cl75,
% 3.39/1.15 zip_derived_cl76, zip_derived_cl77])).
% 3.39/1.15 thf(zip_derived_cl90, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.39/1.15 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 3.39/1.15 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 3.39/1.15 X6 @ X7 @ X8 @ X9 @ X10)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl35, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64,
% 3.39/1.15 zip_derived_cl66, zip_derived_cl68, zip_derived_cl75,
% 3.39/1.15 zip_derived_cl76, zip_derived_cl77, zip_derived_cl83])).
% 3.39/1.15 thf(zip_derived_cl91, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.39/1.15 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 3.39/1.15 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 3.39/1.15 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl33, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64,
% 3.39/1.15 zip_derived_cl66, zip_derived_cl68, zip_derived_cl75,
% 3.39/1.15 zip_derived_cl76, zip_derived_cl77, zip_derived_cl83,
% 3.39/1.15 zip_derived_cl90])).
% 3.39/1.15 thf(zip_derived_cl95, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.39/1.15 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 3.39/1.15 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.39/1.15 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl29, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64,
% 3.39/1.15 zip_derived_cl66, zip_derived_cl68, zip_derived_cl75,
% 3.39/1.15 zip_derived_cl76, zip_derived_cl77, zip_derived_cl83,
% 3.39/1.15 zip_derived_cl90, zip_derived_cl91])).
% 3.39/1.15 thf(zip_derived_cl104, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.39/1.15 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 3.39/1.15 (ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.39/1.15 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ skc18)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl25, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64,
% 3.39/1.15 zip_derived_cl66, zip_derived_cl68, zip_derived_cl75,
% 3.39/1.15 zip_derived_cl76, zip_derived_cl77, zip_derived_cl83,
% 3.39/1.15 zip_derived_cl90, zip_derived_cl91, zip_derived_cl95])).
% 3.39/1.15 thf(clause34, conjecture,
% 3.39/1.15 (~( ( ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 3.39/1.15 skc16 ) |
% 3.39/1.15 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 3.39/1.15 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 3.39/1.15 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 3.39/1.15 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 3.39/1.15 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 3.39/1.15 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 3.39/1.15 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 3.39/1.15 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 3.39/1.15 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 3.39/1.15 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 3.39/1.15 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 3.39/1.15 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 3.39/1.15 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 3.39/1.15 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) ))).
% 3.39/1.15 thf(zf_stmt_17, negated_conjecture,
% 3.39/1.15 (( ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 3.39/1.15 skc16 ) |
% 3.39/1.15 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 3.39/1.15 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 3.39/1.15 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 3.39/1.15 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 3.39/1.15 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 3.39/1.15 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 3.39/1.15 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 3.39/1.15 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 3.39/1.15 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 3.39/1.15 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 3.39/1.15 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 3.39/1.15 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 3.39/1.15 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) )),
% 3.39/1.15 inference('cnf.neg', [status(esa)], [clause34])).
% 3.39/1.15 thf(zip_derived_cl22, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.39/1.15 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 3.39/1.15 X14 : $i]:
% 3.39/1.15 ( (ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 3.39/1.15 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ skc16)
% 3.39/1.15 | ~ (ssNder1_0)
% 3.39/1.15 | ~ (ssNder1_1r1 @ X0)
% 3.39/1.15 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 3.39/1.15 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 3.39/1.15 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 3.39/1.15 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 3.39/1.15 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 3.39/1.15 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 3.39/1.15 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 3.39/1.15 X7)
% 3.39/1.15 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 3.39/1.15 X6 @ X7 @ X8)
% 3.39/1.15 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 3.39/1.15 X6 @ X7 @ X8 @ X9)
% 3.39/1.15 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.39/1.15 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 3.39/1.15 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.39/1.15 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 3.39/1.15 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.39/1.15 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 3.39/1.15 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 3.39/1.15 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13))),
% 3.39/1.15 inference('cnf', [status(esa)], [zf_stmt_17])).
% 3.39/1.15 thf(zip_derived_cl55, plain, ( (ssNder1_0)),
% 3.39/1.15 inference('cnf', [status(esa)], [zf_stmt_1])).
% 3.39/1.15 thf(zip_derived_cl61, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 3.39/1.15 inference('demod', [status(thm)], [zip_derived_cl54, zip_derived_cl55])).
% 3.39/1.15 thf(zip_derived_cl62, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl53, zip_derived_cl55, zip_derived_cl61])).
% 3.39/1.15 thf(zip_derived_cl63, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl52, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62])).
% 3.39/1.15 thf(zip_derived_cl64, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 3.39/1.15 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl51, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62, zip_derived_cl63])).
% 3.39/1.15 thf(zip_derived_cl66, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 3.39/1.15 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl48, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64])).
% 3.39/1.15 thf(zip_derived_cl68, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 3.39/1.15 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl45, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64,
% 3.39/1.15 zip_derived_cl66])).
% 3.39/1.15 thf(zip_derived_cl75, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 3.39/1.15 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl42, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64,
% 3.39/1.15 zip_derived_cl66, zip_derived_cl68])).
% 3.39/1.15 thf(zip_derived_cl76, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 3.39/1.15 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl39, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64,
% 3.39/1.15 zip_derived_cl66, zip_derived_cl68, zip_derived_cl75])).
% 3.39/1.15 thf(zip_derived_cl77, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.39/1.15 X7 : $i, X8 : $i]:
% 3.39/1.15 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 3.39/1.15 X7 @ X8)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl38, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64,
% 3.39/1.15 zip_derived_cl66, zip_derived_cl68, zip_derived_cl75,
% 3.39/1.15 zip_derived_cl76])).
% 3.39/1.15 thf(zip_derived_cl83, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.39/1.15 X7 : $i, X8 : $i, X9 : $i]:
% 3.39/1.15 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 3.39/1.15 X7 @ X8 @ X9)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl37, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64,
% 3.39/1.15 zip_derived_cl66, zip_derived_cl68, zip_derived_cl75,
% 3.39/1.15 zip_derived_cl76, zip_derived_cl77])).
% 3.39/1.15 thf(zip_derived_cl90, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.39/1.15 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 3.39/1.15 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 3.39/1.15 X6 @ X7 @ X8 @ X9 @ X10)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl35, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64,
% 3.39/1.15 zip_derived_cl66, zip_derived_cl68, zip_derived_cl75,
% 3.39/1.15 zip_derived_cl76, zip_derived_cl77, zip_derived_cl83])).
% 3.39/1.15 thf(zip_derived_cl91, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.39/1.15 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 3.39/1.15 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 3.39/1.15 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl33, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64,
% 3.39/1.15 zip_derived_cl66, zip_derived_cl68, zip_derived_cl75,
% 3.39/1.15 zip_derived_cl76, zip_derived_cl77, zip_derived_cl83,
% 3.39/1.15 zip_derived_cl90])).
% 3.39/1.15 thf(zip_derived_cl95, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.39/1.15 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 3.39/1.15 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.39/1.15 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl29, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64,
% 3.39/1.15 zip_derived_cl66, zip_derived_cl68, zip_derived_cl75,
% 3.39/1.15 zip_derived_cl76, zip_derived_cl77, zip_derived_cl83,
% 3.39/1.15 zip_derived_cl90, zip_derived_cl91])).
% 3.39/1.15 thf(clause30, conjecture,
% 3.39/1.15 (~( ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) |
% 3.39/1.15 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 3.39/1.15 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 3.39/1.15 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 3.39/1.15 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 3.39/1.15 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 3.39/1.15 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 3.39/1.15 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 3.39/1.15 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 3.39/1.15 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 3.39/1.15 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 3.39/1.15 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 3.39/1.15 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 3.39/1.15 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) ))).
% 3.39/1.15 thf(zf_stmt_18, negated_conjecture,
% 3.39/1.15 (( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) |
% 3.39/1.15 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 3.39/1.15 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 3.39/1.15 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 3.39/1.15 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 3.39/1.15 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 3.39/1.15 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 3.39/1.15 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 3.39/1.15 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 3.39/1.15 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 3.39/1.15 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 3.39/1.15 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 3.39/1.15 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) )),
% 3.39/1.15 inference('cnf.neg', [status(esa)], [clause30])).
% 3.39/1.15 thf(zip_derived_cl26, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.39/1.15 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 3.39/1.15 ( (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.39/1.15 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 3.39/1.15 | ~ (ssNder1_0)
% 3.39/1.15 | ~ (ssNder1_1r1 @ X0)
% 3.39/1.15 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 3.39/1.15 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 3.39/1.15 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 3.39/1.15 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 3.39/1.15 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 3.39/1.15 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 3.39/1.15 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 3.39/1.15 X7)
% 3.39/1.15 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 3.39/1.15 X6 @ X7 @ X8)
% 3.39/1.15 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 3.39/1.15 X6 @ X7 @ X8 @ X9)
% 3.39/1.15 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.39/1.15 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 3.39/1.15 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.39/1.15 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 3.39/1.15 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.39/1.15 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12))),
% 3.39/1.15 inference('cnf', [status(esa)], [zf_stmt_18])).
% 3.39/1.15 thf(zip_derived_cl55, plain, ( (ssNder1_0)),
% 3.39/1.15 inference('cnf', [status(esa)], [zf_stmt_1])).
% 3.39/1.15 thf(zip_derived_cl61, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 3.39/1.15 inference('demod', [status(thm)], [zip_derived_cl54, zip_derived_cl55])).
% 3.39/1.15 thf(zip_derived_cl62, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl53, zip_derived_cl55, zip_derived_cl61])).
% 3.39/1.15 thf(zip_derived_cl63, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl52, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62])).
% 3.39/1.15 thf(zip_derived_cl64, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 3.39/1.15 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl51, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62, zip_derived_cl63])).
% 3.39/1.15 thf(zip_derived_cl66, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 3.39/1.15 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl48, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64])).
% 3.39/1.15 thf(zip_derived_cl68, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 3.39/1.15 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl45, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64,
% 3.39/1.15 zip_derived_cl66])).
% 3.39/1.15 thf(zip_derived_cl75, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 3.39/1.15 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl42, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64,
% 3.39/1.15 zip_derived_cl66, zip_derived_cl68])).
% 3.39/1.15 thf(zip_derived_cl76, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 3.39/1.15 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl39, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64,
% 3.39/1.15 zip_derived_cl66, zip_derived_cl68, zip_derived_cl75])).
% 3.39/1.15 thf(zip_derived_cl77, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.39/1.15 X7 : $i, X8 : $i]:
% 3.39/1.15 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 3.39/1.15 X7 @ X8)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl38, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64,
% 3.39/1.15 zip_derived_cl66, zip_derived_cl68, zip_derived_cl75,
% 3.39/1.15 zip_derived_cl76])).
% 3.39/1.15 thf(zip_derived_cl83, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.39/1.15 X7 : $i, X8 : $i, X9 : $i]:
% 3.39/1.15 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 3.39/1.15 X7 @ X8 @ X9)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl37, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64,
% 3.39/1.15 zip_derived_cl66, zip_derived_cl68, zip_derived_cl75,
% 3.39/1.15 zip_derived_cl76, zip_derived_cl77])).
% 3.39/1.15 thf(zip_derived_cl90, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.39/1.15 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 3.39/1.15 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 3.39/1.15 X6 @ X7 @ X8 @ X9 @ X10)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl35, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64,
% 3.39/1.15 zip_derived_cl66, zip_derived_cl68, zip_derived_cl75,
% 3.39/1.15 zip_derived_cl76, zip_derived_cl77, zip_derived_cl83])).
% 3.39/1.15 thf(zip_derived_cl91, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.39/1.15 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 3.39/1.15 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 3.39/1.15 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl33, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64,
% 3.39/1.15 zip_derived_cl66, zip_derived_cl68, zip_derived_cl75,
% 3.39/1.15 zip_derived_cl76, zip_derived_cl77, zip_derived_cl83,
% 3.39/1.15 zip_derived_cl90])).
% 3.39/1.15 thf(zip_derived_cl95, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.39/1.15 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 3.39/1.15 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.39/1.15 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl29, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64,
% 3.39/1.15 zip_derived_cl66, zip_derived_cl68, zip_derived_cl75,
% 3.39/1.15 zip_derived_cl76, zip_derived_cl77, zip_derived_cl83,
% 3.39/1.15 zip_derived_cl90, zip_derived_cl91])).
% 3.39/1.15 thf(zip_derived_cl97, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.39/1.15 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 3.39/1.15 (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.39/1.15 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl26, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64,
% 3.39/1.15 zip_derived_cl66, zip_derived_cl68, zip_derived_cl75,
% 3.39/1.15 zip_derived_cl76, zip_derived_cl77, zip_derived_cl83,
% 3.39/1.15 zip_derived_cl90, zip_derived_cl91, zip_derived_cl95])).
% 3.39/1.15 thf(zip_derived_cl105, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.39/1.15 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 3.39/1.15 X14 : $i]:
% 3.39/1.15 (ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.39/1.15 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ skc16)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl22, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64,
% 3.39/1.15 zip_derived_cl66, zip_derived_cl68, zip_derived_cl75,
% 3.39/1.15 zip_derived_cl76, zip_derived_cl77, zip_derived_cl83,
% 3.39/1.15 zip_derived_cl90, zip_derived_cl91, zip_derived_cl95,
% 3.39/1.15 zip_derived_cl97])).
% 3.39/1.15 thf(clause51, conjecture,
% 3.39/1.15 (~( ( ssPv19_2r1r1 @ U @ V ) |
% 3.39/1.15 ( ssPv16_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) |
% 3.39/1.15 ( ssPv2_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 3.39/1.15 X10 @ X11 @ X12 @ X13 ) |
% 3.39/1.15 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 3.39/1.15 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 3.39/1.15 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 3.39/1.15 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 3.39/1.15 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 3.39/1.15 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 3.39/1.15 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 3.39/1.15 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 3.39/1.15 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 3.39/1.15 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 3.39/1.15 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 3.39/1.15 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 3.39/1.15 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 3.39/1.15 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 3.39/1.15 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 3.39/1.15 ( ~( ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 3.39/1.15 ( ~( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 3.39/1.15 X9 @ X10 ) ) |
% 3.39/1.15 ( ~( ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 3.39/1.15 X9 @ X10 @ X11 ) ) |
% 3.39/1.15 ( ~( ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 3.39/1.15 X9 @ X10 @ X11 @ X12 ) ) ))).
% 3.39/1.15 thf(zf_stmt_19, negated_conjecture,
% 3.39/1.15 (( ssPv19_2r1r1 @ U @ V ) | ( ssPv16_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) |
% 3.39/1.15 ( ssPv2_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 3.39/1.15 X10 @ X11 @ X12 @ X13 ) |
% 3.39/1.15 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 3.39/1.15 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 3.39/1.15 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 3.39/1.15 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 3.39/1.15 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 3.39/1.15 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 3.39/1.15 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 3.39/1.15 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 3.39/1.15 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 3.39/1.15 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 3.39/1.15 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 3.39/1.15 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 3.39/1.15 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 3.39/1.15 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 3.39/1.15 ( ~( ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 3.39/1.15 ( ~( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 3.39/1.15 X10 ) ) |
% 3.39/1.15 ( ~( ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 3.39/1.15 X10 @ X11 ) ) |
% 3.39/1.15 ( ~( ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 3.39/1.15 X10 @ X11 @ X12 ) )),
% 3.39/1.15 inference('cnf.neg', [status(esa)], [clause51])).
% 3.39/1.15 thf(zip_derived_cl5, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.39/1.15 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 3.39/1.15 X14 : $i, X15 : $i, X16 : $i, X17 : $i, X18 : $i]:
% 3.39/1.15 ( (ssPv19_2r1r1 @ X0 @ X1)
% 3.39/1.15 | (ssPv16_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 3.39/1.15 | (ssPv2_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 3.39/1.15 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @
% 3.39/1.15 X15 @ X16 @ X17 @ X18)
% 3.39/1.15 | ~ (ssNder1_0)
% 3.39/1.15 | ~ (ssNder1_1r1 @ X0)
% 3.39/1.15 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 3.39/1.15 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 3.39/1.15 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 3.39/1.15 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 3.39/1.15 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 3.39/1.15 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 3.39/1.15 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 3.39/1.15 X7)
% 3.39/1.15 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 3.39/1.15 X6 @ X7 @ X8)
% 3.39/1.15 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 3.39/1.15 X6 @ X7 @ X8 @ X9)
% 3.39/1.15 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.39/1.15 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 3.39/1.15 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.39/1.15 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 3.39/1.15 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.39/1.15 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 3.39/1.15 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 3.39/1.15 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 3.39/1.15 | ~ (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 3.39/1.15 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 3.39/1.15 | ~ (ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 3.39/1.15 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 3.39/1.15 | ~ (ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 3.39/1.15 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 3.39/1.15 X14 @ X15)
% 3.39/1.15 | ~ (ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 3.39/1.15 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 3.39/1.15 X14 @ X15 @ X16)
% 3.39/1.15 | ~ (ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 3.39/1.15 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 3.39/1.15 X14 @ X15 @ X16 @ X17))),
% 3.39/1.15 inference('cnf', [status(esa)], [zf_stmt_19])).
% 3.39/1.15 thf(zip_derived_cl67, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 3.39/1.15 (ssPv15_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ skc28)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl47, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64])).
% 3.39/1.15 thf(clause12, conjecture,
% 3.39/1.15 (~( ( ssPv14_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ skc26 ) |
% 3.39/1.15 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 3.39/1.15 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 3.39/1.15 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 3.39/1.15 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 3.39/1.15 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) ))).
% 3.39/1.15 thf(zf_stmt_20, negated_conjecture,
% 3.39/1.15 (( ssPv14_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ skc26 ) |
% 3.39/1.15 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 3.39/1.15 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 3.39/1.15 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 3.39/1.15 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) )),
% 3.39/1.15 inference('cnf.neg', [status(esa)], [clause12])).
% 3.39/1.15 thf(zip_derived_cl44, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 3.39/1.15 ( (ssPv14_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ skc26)
% 3.39/1.15 | ~ (ssNder1_0)
% 3.39/1.15 | ~ (ssNder1_1r1 @ X0)
% 3.39/1.15 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 3.39/1.15 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 3.39/1.15 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 3.39/1.15 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4))),
% 3.39/1.15 inference('cnf', [status(esa)], [zf_stmt_20])).
% 3.39/1.15 thf(zip_derived_cl55, plain, ( (ssNder1_0)),
% 3.39/1.15 inference('cnf', [status(esa)], [zf_stmt_1])).
% 3.39/1.15 thf(zip_derived_cl61, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 3.39/1.15 inference('demod', [status(thm)], [zip_derived_cl54, zip_derived_cl55])).
% 3.39/1.15 thf(zip_derived_cl62, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl53, zip_derived_cl55, zip_derived_cl61])).
% 3.39/1.15 thf(zip_derived_cl63, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl52, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62])).
% 3.39/1.15 thf(zip_derived_cl64, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 3.39/1.15 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl51, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62, zip_derived_cl63])).
% 3.39/1.15 thf(zip_derived_cl66, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 3.39/1.15 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl48, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64])).
% 3.39/1.15 thf(zip_derived_cl72, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 3.39/1.15 (ssPv14_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ skc26)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl44, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64,
% 3.39/1.15 zip_derived_cl66])).
% 3.39/1.15 thf(clause15, conjecture,
% 3.39/1.15 (~( ( ssPv13_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ skc24 ) |
% 3.39/1.15 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 3.39/1.15 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 3.39/1.15 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 3.39/1.15 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 3.39/1.15 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 3.39/1.15 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) ))).
% 3.39/1.15 thf(zf_stmt_21, negated_conjecture,
% 3.39/1.15 (( ssPv13_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ skc24 ) |
% 3.39/1.15 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 3.39/1.15 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 3.39/1.15 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 3.39/1.15 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 3.39/1.15 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) )),
% 3.39/1.15 inference('cnf.neg', [status(esa)], [clause15])).
% 3.39/1.15 thf(zip_derived_cl41, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 3.39/1.15 ( (ssPv13_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ skc24)
% 3.39/1.15 | ~ (ssNder1_0)
% 3.39/1.15 | ~ (ssNder1_1r1 @ X0)
% 3.39/1.15 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 3.39/1.15 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 3.39/1.15 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 3.39/1.15 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 3.39/1.15 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5))),
% 3.39/1.15 inference('cnf', [status(esa)], [zf_stmt_21])).
% 3.39/1.15 thf(zip_derived_cl55, plain, ( (ssNder1_0)),
% 3.39/1.15 inference('cnf', [status(esa)], [zf_stmt_1])).
% 3.39/1.15 thf(zip_derived_cl61, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 3.39/1.15 inference('demod', [status(thm)], [zip_derived_cl54, zip_derived_cl55])).
% 3.39/1.15 thf(zip_derived_cl62, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl53, zip_derived_cl55, zip_derived_cl61])).
% 3.39/1.15 thf(zip_derived_cl63, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl52, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62])).
% 3.39/1.15 thf(zip_derived_cl64, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 3.39/1.15 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl51, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62, zip_derived_cl63])).
% 3.39/1.15 thf(zip_derived_cl66, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 3.39/1.15 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl48, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64])).
% 3.39/1.15 thf(zip_derived_cl68, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 3.39/1.15 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl45, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64,
% 3.39/1.15 zip_derived_cl66])).
% 3.39/1.15 thf(zip_derived_cl74, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 3.39/1.15 (ssPv13_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ skc24)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl41, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64,
% 3.39/1.15 zip_derived_cl66, zip_derived_cl68])).
% 3.39/1.15 thf(clause47, conjecture,
% 3.39/1.15 (~( ( ssPv11_10r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) |
% 3.39/1.15 ( ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 3.39/1.15 X10 @ X11 ) |
% 3.39/1.15 ( ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 3.39/1.15 X10 ) |
% 3.39/1.15 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 3.39/1.15 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 3.39/1.15 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 3.39/1.15 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 3.39/1.15 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 3.39/1.15 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 3.39/1.15 ( ~( ssPv15_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 3.39/1.15 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 3.39/1.15 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 3.39/1.15 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 3.39/1.15 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 3.39/1.15 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 3.39/1.15 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 3.39/1.15 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 3.39/1.15 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 3.39/1.15 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 3.39/1.15 ( ~( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 3.39/1.15 X9 @ X10 ) ) ))).
% 3.39/1.15 thf(zf_stmt_22, negated_conjecture,
% 3.39/1.15 (( ssPv11_10r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) |
% 3.39/1.15 ( ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 3.39/1.15 X10 @ X11 ) |
% 3.39/1.15 ( ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 ) |
% 3.39/1.15 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 3.39/1.15 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 3.39/1.15 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 3.39/1.15 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 3.39/1.15 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 3.39/1.15 ( ~( ssPv15_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 3.39/1.15 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 3.39/1.15 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 3.39/1.15 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 3.39/1.15 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 3.39/1.15 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 3.39/1.15 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 3.39/1.15 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 3.39/1.15 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 3.39/1.15 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 3.39/1.15 ( ~( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 3.39/1.15 X10 ) )),
% 3.39/1.15 inference('cnf.neg', [status(esa)], [clause47])).
% 3.39/1.15 thf(zip_derived_cl9, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.39/1.15 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 3.39/1.15 X14 : $i, X15 : $i, X16 : $i]:
% 3.39/1.15 ( (ssPv11_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 3.39/1.15 X7 @ X8 @ X9)
% 3.39/1.15 | (ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 3.39/1.15 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @
% 3.39/1.15 X15 @ X16)
% 3.39/1.15 | (ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 3.39/1.15 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15)
% 3.39/1.15 | ~ (ssNder1_0)
% 3.39/1.15 | ~ (ssNder1_1r1 @ X0)
% 3.39/1.15 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 3.39/1.15 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 3.39/1.15 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 3.39/1.15 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 3.39/1.15 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 3.39/1.15 | ~ (ssPv15_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 3.39/1.15 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 3.39/1.15 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 3.39/1.15 X7)
% 3.39/1.15 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 3.39/1.15 X6 @ X7 @ X8)
% 3.39/1.15 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 3.39/1.15 X6 @ X7 @ X8 @ X9)
% 3.39/1.15 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.39/1.15 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 3.39/1.15 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.39/1.15 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 3.39/1.15 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.39/1.15 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 3.39/1.15 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 3.39/1.15 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 3.39/1.15 | ~ (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 3.39/1.15 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 3.39/1.15 | ~ (ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 3.39/1.15 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 3.39/1.15 X14 @ X15))),
% 3.39/1.15 inference('cnf', [status(esa)], [zf_stmt_22])).
% 3.39/1.15 thf(zip_derived_cl55, plain, ( (ssNder1_0)),
% 3.39/1.15 inference('cnf', [status(esa)], [zf_stmt_1])).
% 3.39/1.15 thf(zip_derived_cl61, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 3.39/1.15 inference('demod', [status(thm)], [zip_derived_cl54, zip_derived_cl55])).
% 3.39/1.15 thf(zip_derived_cl62, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl53, zip_derived_cl55, zip_derived_cl61])).
% 3.39/1.15 thf(zip_derived_cl63, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl52, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62])).
% 3.39/1.15 thf(zip_derived_cl64, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 3.39/1.15 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl51, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62, zip_derived_cl63])).
% 3.39/1.15 thf(zip_derived_cl66, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 3.39/1.15 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl48, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64])).
% 3.39/1.15 thf(zip_derived_cl68, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 3.39/1.15 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl45, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64,
% 3.39/1.15 zip_derived_cl66])).
% 3.39/1.15 thf(zip_derived_cl75, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 3.39/1.15 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl42, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64,
% 3.39/1.15 zip_derived_cl66, zip_derived_cl68])).
% 3.39/1.15 thf(zip_derived_cl76, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 3.39/1.15 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl39, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64,
% 3.39/1.15 zip_derived_cl66, zip_derived_cl68, zip_derived_cl75])).
% 3.39/1.15 thf(zip_derived_cl77, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.39/1.15 X7 : $i, X8 : $i]:
% 3.39/1.15 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 3.39/1.15 X7 @ X8)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl38, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64,
% 3.39/1.15 zip_derived_cl66, zip_derived_cl68, zip_derived_cl75,
% 3.39/1.15 zip_derived_cl76])).
% 3.39/1.15 thf(zip_derived_cl83, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.39/1.15 X7 : $i, X8 : $i, X9 : $i]:
% 3.39/1.15 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 3.39/1.15 X7 @ X8 @ X9)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl37, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64,
% 3.39/1.15 zip_derived_cl66, zip_derived_cl68, zip_derived_cl75,
% 3.39/1.15 zip_derived_cl76, zip_derived_cl77])).
% 3.39/1.15 thf(zip_derived_cl90, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.39/1.15 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 3.39/1.15 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 3.39/1.15 X6 @ X7 @ X8 @ X9 @ X10)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl35, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64,
% 3.39/1.15 zip_derived_cl66, zip_derived_cl68, zip_derived_cl75,
% 3.39/1.15 zip_derived_cl76, zip_derived_cl77, zip_derived_cl83])).
% 3.39/1.15 thf(zip_derived_cl91, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.39/1.15 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 3.39/1.15 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 3.39/1.15 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl33, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64,
% 3.39/1.15 zip_derived_cl66, zip_derived_cl68, zip_derived_cl75,
% 3.39/1.15 zip_derived_cl76, zip_derived_cl77, zip_derived_cl83,
% 3.39/1.15 zip_derived_cl90])).
% 3.39/1.15 thf(zip_derived_cl95, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.39/1.15 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 3.39/1.15 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.39/1.15 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl29, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64,
% 3.39/1.15 zip_derived_cl66, zip_derived_cl68, zip_derived_cl75,
% 3.39/1.15 zip_derived_cl76, zip_derived_cl77, zip_derived_cl83,
% 3.39/1.15 zip_derived_cl90, zip_derived_cl91])).
% 3.39/1.15 thf(zip_derived_cl97, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.39/1.15 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 3.39/1.15 (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.39/1.15 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl26, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64,
% 3.39/1.15 zip_derived_cl66, zip_derived_cl68, zip_derived_cl75,
% 3.39/1.15 zip_derived_cl76, zip_derived_cl77, zip_derived_cl83,
% 3.39/1.15 zip_derived_cl90, zip_derived_cl91, zip_derived_cl95])).
% 3.39/1.15 thf(clause33, conjecture,
% 3.39/1.15 (~( ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) |
% 3.39/1.15 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 3.39/1.15 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 3.39/1.15 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 3.39/1.15 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 3.39/1.15 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 3.39/1.15 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 3.39/1.15 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 3.39/1.15 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 3.39/1.15 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 3.39/1.15 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 3.39/1.15 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 3.39/1.15 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 3.39/1.15 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 3.39/1.15 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) ))).
% 3.39/1.15 thf(zf_stmt_23, negated_conjecture,
% 3.39/1.15 (( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) |
% 3.39/1.15 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 3.39/1.15 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 3.39/1.15 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 3.39/1.15 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 3.39/1.15 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 3.39/1.15 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 3.39/1.15 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 3.39/1.15 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 3.39/1.15 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 3.39/1.15 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 3.39/1.15 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 3.39/1.15 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 3.39/1.15 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) )),
% 3.39/1.15 inference('cnf.neg', [status(esa)], [clause33])).
% 3.39/1.15 thf(zip_derived_cl23, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.39/1.15 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 3.39/1.15 X14 : $i]:
% 3.39/1.15 ( (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 3.39/1.15 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 3.39/1.15 | ~ (ssNder1_0)
% 3.39/1.15 | ~ (ssNder1_1r1 @ X0)
% 3.39/1.15 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 3.39/1.15 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 3.39/1.15 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 3.39/1.15 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 3.39/1.15 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 3.39/1.15 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 3.39/1.15 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 3.39/1.15 X7)
% 3.39/1.15 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 3.39/1.15 X6 @ X7 @ X8)
% 3.39/1.15 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 3.39/1.15 X6 @ X7 @ X8 @ X9)
% 3.39/1.15 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.39/1.15 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 3.39/1.15 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.39/1.15 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 3.39/1.15 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.39/1.15 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 3.39/1.15 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 3.39/1.15 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13))),
% 3.39/1.15 inference('cnf', [status(esa)], [zf_stmt_23])).
% 3.39/1.15 thf(zip_derived_cl55, plain, ( (ssNder1_0)),
% 3.39/1.15 inference('cnf', [status(esa)], [zf_stmt_1])).
% 3.39/1.15 thf(zip_derived_cl61, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 3.39/1.15 inference('demod', [status(thm)], [zip_derived_cl54, zip_derived_cl55])).
% 3.39/1.15 thf(zip_derived_cl62, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl53, zip_derived_cl55, zip_derived_cl61])).
% 3.39/1.15 thf(zip_derived_cl63, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl52, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62])).
% 3.39/1.15 thf(zip_derived_cl64, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 3.39/1.15 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl51, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62, zip_derived_cl63])).
% 3.39/1.15 thf(zip_derived_cl66, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 3.39/1.15 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl48, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64])).
% 3.39/1.15 thf(zip_derived_cl68, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 3.39/1.15 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl45, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64,
% 3.39/1.15 zip_derived_cl66])).
% 3.39/1.15 thf(zip_derived_cl75, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 3.39/1.15 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl42, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64,
% 3.39/1.15 zip_derived_cl66, zip_derived_cl68])).
% 3.39/1.15 thf(zip_derived_cl76, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 3.39/1.15 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl39, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64,
% 3.39/1.15 zip_derived_cl66, zip_derived_cl68, zip_derived_cl75])).
% 3.39/1.15 thf(zip_derived_cl77, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.39/1.15 X7 : $i, X8 : $i]:
% 3.39/1.15 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 3.39/1.15 X7 @ X8)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl38, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64,
% 3.39/1.15 zip_derived_cl66, zip_derived_cl68, zip_derived_cl75,
% 3.39/1.15 zip_derived_cl76])).
% 3.39/1.15 thf(zip_derived_cl83, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.39/1.15 X7 : $i, X8 : $i, X9 : $i]:
% 3.39/1.15 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 3.39/1.15 X7 @ X8 @ X9)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl37, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64,
% 3.39/1.15 zip_derived_cl66, zip_derived_cl68, zip_derived_cl75,
% 3.39/1.15 zip_derived_cl76, zip_derived_cl77])).
% 3.39/1.15 thf(zip_derived_cl90, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.39/1.15 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 3.39/1.15 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 3.39/1.15 X6 @ X7 @ X8 @ X9 @ X10)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl35, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64,
% 3.39/1.15 zip_derived_cl66, zip_derived_cl68, zip_derived_cl75,
% 3.39/1.15 zip_derived_cl76, zip_derived_cl77, zip_derived_cl83])).
% 3.39/1.15 thf(zip_derived_cl91, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.39/1.15 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 3.39/1.15 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 3.39/1.15 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl33, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64,
% 3.39/1.15 zip_derived_cl66, zip_derived_cl68, zip_derived_cl75,
% 3.39/1.15 zip_derived_cl76, zip_derived_cl77, zip_derived_cl83,
% 3.39/1.15 zip_derived_cl90])).
% 3.39/1.15 thf(zip_derived_cl95, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.39/1.15 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 3.39/1.15 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.39/1.15 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl29, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64,
% 3.39/1.15 zip_derived_cl66, zip_derived_cl68, zip_derived_cl75,
% 3.39/1.15 zip_derived_cl76, zip_derived_cl77, zip_derived_cl83,
% 3.39/1.15 zip_derived_cl90, zip_derived_cl91])).
% 3.39/1.15 thf(zip_derived_cl97, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.39/1.15 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 3.39/1.15 (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.39/1.15 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl26, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64,
% 3.39/1.15 zip_derived_cl66, zip_derived_cl68, zip_derived_cl75,
% 3.39/1.15 zip_derived_cl76, zip_derived_cl77, zip_derived_cl83,
% 3.39/1.15 zip_derived_cl90, zip_derived_cl91, zip_derived_cl95])).
% 3.39/1.15 thf(zip_derived_cl106, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.39/1.15 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 3.39/1.15 X14 : $i]:
% 3.39/1.15 (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.39/1.15 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl23, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64,
% 3.39/1.15 zip_derived_cl66, zip_derived_cl68, zip_derived_cl75,
% 3.39/1.15 zip_derived_cl76, zip_derived_cl77, zip_derived_cl83,
% 3.39/1.15 zip_derived_cl90, zip_derived_cl91, zip_derived_cl95,
% 3.39/1.15 zip_derived_cl97])).
% 3.39/1.15 thf(clause37, conjecture,
% 3.39/1.15 (~( ( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 3.39/1.15 X10 ) |
% 3.39/1.15 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 3.39/1.15 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 3.39/1.15 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 3.39/1.15 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 3.39/1.15 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 3.39/1.15 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 3.39/1.15 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 3.39/1.15 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 3.39/1.15 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 3.39/1.15 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 3.39/1.15 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 3.39/1.15 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 3.39/1.15 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 3.39/1.15 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 3.39/1.15 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) ))).
% 3.39/1.15 thf(zf_stmt_24, negated_conjecture,
% 3.39/1.15 (( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 ) |
% 3.39/1.15 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 3.39/1.15 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 3.39/1.15 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 3.39/1.15 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 3.39/1.15 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 3.39/1.15 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 3.39/1.15 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 3.39/1.15 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 3.39/1.15 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 3.39/1.15 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 3.39/1.15 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 3.39/1.15 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 3.39/1.15 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 3.39/1.15 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) )),
% 3.39/1.15 inference('cnf.neg', [status(esa)], [clause37])).
% 3.39/1.15 thf(zip_derived_cl19, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.39/1.15 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 3.39/1.15 X14 : $i, X15 : $i]:
% 3.39/1.15 ( (ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 3.39/1.15 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15)
% 3.39/1.15 | ~ (ssNder1_0)
% 3.39/1.15 | ~ (ssNder1_1r1 @ X0)
% 3.39/1.15 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 3.39/1.15 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 3.39/1.15 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 3.39/1.15 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 3.39/1.15 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 3.39/1.15 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 3.39/1.15 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 3.39/1.15 X7)
% 3.39/1.15 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 3.39/1.15 X6 @ X7 @ X8)
% 3.39/1.15 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 3.39/1.15 X6 @ X7 @ X8 @ X9)
% 3.39/1.15 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.39/1.15 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 3.39/1.15 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.39/1.15 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 3.39/1.15 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.39/1.15 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 3.39/1.15 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 3.39/1.15 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 3.39/1.15 | ~ (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 3.39/1.15 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14))),
% 3.39/1.15 inference('cnf', [status(esa)], [zf_stmt_24])).
% 3.39/1.15 thf(zip_derived_cl55, plain, ( (ssNder1_0)),
% 3.39/1.15 inference('cnf', [status(esa)], [zf_stmt_1])).
% 3.39/1.15 thf(zip_derived_cl61, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 3.39/1.15 inference('demod', [status(thm)], [zip_derived_cl54, zip_derived_cl55])).
% 3.39/1.15 thf(zip_derived_cl62, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl53, zip_derived_cl55, zip_derived_cl61])).
% 3.39/1.15 thf(zip_derived_cl63, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl52, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62])).
% 3.39/1.15 thf(zip_derived_cl64, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 3.39/1.15 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl51, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62, zip_derived_cl63])).
% 3.39/1.15 thf(zip_derived_cl66, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 3.39/1.15 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl48, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64])).
% 3.39/1.15 thf(zip_derived_cl68, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 3.39/1.15 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl45, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64,
% 3.39/1.15 zip_derived_cl66])).
% 3.39/1.15 thf(zip_derived_cl75, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 3.39/1.15 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl42, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64,
% 3.39/1.15 zip_derived_cl66, zip_derived_cl68])).
% 3.39/1.15 thf(zip_derived_cl76, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 3.39/1.15 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl39, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64,
% 3.39/1.15 zip_derived_cl66, zip_derived_cl68, zip_derived_cl75])).
% 3.39/1.15 thf(zip_derived_cl77, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.39/1.15 X7 : $i, X8 : $i]:
% 3.39/1.15 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 3.39/1.15 X7 @ X8)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl38, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64,
% 3.39/1.15 zip_derived_cl66, zip_derived_cl68, zip_derived_cl75,
% 3.39/1.15 zip_derived_cl76])).
% 3.39/1.15 thf(zip_derived_cl83, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.39/1.15 X7 : $i, X8 : $i, X9 : $i]:
% 3.39/1.15 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 3.39/1.15 X7 @ X8 @ X9)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl37, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64,
% 3.39/1.15 zip_derived_cl66, zip_derived_cl68, zip_derived_cl75,
% 3.39/1.15 zip_derived_cl76, zip_derived_cl77])).
% 3.39/1.15 thf(zip_derived_cl90, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.39/1.15 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 3.39/1.15 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 3.39/1.15 X6 @ X7 @ X8 @ X9 @ X10)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl35, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64,
% 3.39/1.15 zip_derived_cl66, zip_derived_cl68, zip_derived_cl75,
% 3.39/1.15 zip_derived_cl76, zip_derived_cl77, zip_derived_cl83])).
% 3.39/1.15 thf(zip_derived_cl91, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.39/1.15 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 3.39/1.15 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 3.39/1.15 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl33, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64,
% 3.39/1.15 zip_derived_cl66, zip_derived_cl68, zip_derived_cl75,
% 3.39/1.15 zip_derived_cl76, zip_derived_cl77, zip_derived_cl83,
% 3.39/1.15 zip_derived_cl90])).
% 3.39/1.15 thf(zip_derived_cl95, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.39/1.15 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 3.39/1.15 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.39/1.15 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl29, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64,
% 3.39/1.15 zip_derived_cl66, zip_derived_cl68, zip_derived_cl75,
% 3.39/1.15 zip_derived_cl76, zip_derived_cl77, zip_derived_cl83,
% 3.39/1.15 zip_derived_cl90, zip_derived_cl91])).
% 3.39/1.15 thf(zip_derived_cl97, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.39/1.15 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 3.39/1.15 (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.39/1.15 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl26, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64,
% 3.39/1.15 zip_derived_cl66, zip_derived_cl68, zip_derived_cl75,
% 3.39/1.15 zip_derived_cl76, zip_derived_cl77, zip_derived_cl83,
% 3.39/1.15 zip_derived_cl90, zip_derived_cl91, zip_derived_cl95])).
% 3.39/1.15 thf(zip_derived_cl106, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.39/1.15 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 3.39/1.15 X14 : $i]:
% 3.39/1.15 (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.39/1.15 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl23, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64,
% 3.39/1.15 zip_derived_cl66, zip_derived_cl68, zip_derived_cl75,
% 3.39/1.15 zip_derived_cl76, zip_derived_cl77, zip_derived_cl83,
% 3.39/1.15 zip_derived_cl90, zip_derived_cl91, zip_derived_cl95,
% 3.39/1.15 zip_derived_cl97])).
% 3.39/1.15 thf(zip_derived_cl117, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.39/1.15 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 3.39/1.15 X14 : $i, X15 : $i]:
% 3.39/1.15 (ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 3.39/1.15 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl19, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64,
% 3.39/1.15 zip_derived_cl66, zip_derived_cl68, zip_derived_cl75,
% 3.39/1.15 zip_derived_cl76, zip_derived_cl77, zip_derived_cl83,
% 3.39/1.15 zip_derived_cl90, zip_derived_cl91, zip_derived_cl95,
% 3.39/1.15 zip_derived_cl97, zip_derived_cl106])).
% 3.39/1.15 thf(zip_derived_cl154, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.39/1.15 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 3.39/1.15 X14 : $i, X15 : $i, X16 : $i]:
% 3.39/1.15 ( (ssPv11_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 3.39/1.15 X7 @ X8 @ X9)
% 3.39/1.15 | (ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 3.39/1.15 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @
% 3.39/1.15 X15 @ X16)
% 3.39/1.15 | (ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 3.39/1.15 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15)
% 3.39/1.15 | ~ (ssPv15_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5))),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl9, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64,
% 3.39/1.15 zip_derived_cl66, zip_derived_cl68, zip_derived_cl75,
% 3.39/1.15 zip_derived_cl76, zip_derived_cl77, zip_derived_cl83,
% 3.39/1.15 zip_derived_cl90, zip_derived_cl91, zip_derived_cl95,
% 3.39/1.15 zip_derived_cl97, zip_derived_cl106, zip_derived_cl117])).
% 3.39/1.15 thf(clause45, conjecture,
% 3.39/1.15 (~( ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 3.39/1.15 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssPv19_2r1r1 @ U @ V ) ) |
% 3.39/1.15 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 3.39/1.15 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 3.39/1.15 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 3.39/1.15 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 3.39/1.15 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 3.39/1.15 ( ~( ssPv14_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 3.39/1.15 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 3.39/1.15 ( ~( ssPv13_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 3.39/1.15 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 3.39/1.15 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 3.39/1.15 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 3.39/1.15 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 3.39/1.15 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 3.39/1.15 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 3.39/1.15 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 3.39/1.15 ( ~( ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 3.39/1.15 X9 @ X10 @ X11 ) ) |
% 3.39/1.15 ( ~( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 3.39/1.15 X9 @ X10 ) ) ))).
% 3.39/1.15 thf(zf_stmt_25, negated_conjecture,
% 3.39/1.15 (( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 3.39/1.15 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssPv19_2r1r1 @ U @ V ) ) |
% 3.39/1.15 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 3.39/1.15 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 3.39/1.15 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 3.39/1.15 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 3.39/1.15 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 3.39/1.15 ( ~( ssPv14_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 3.39/1.15 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 3.39/1.15 ( ~( ssPv13_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 3.39/1.15 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 3.39/1.15 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 3.39/1.15 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 3.39/1.15 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 3.39/1.15 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 3.39/1.15 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 3.39/1.15 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 3.39/1.15 ( ~( ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 3.39/1.15 X10 @ X11 ) ) |
% 3.39/1.15 ( ~( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 3.39/1.15 X10 ) )),
% 3.39/1.15 inference('cnf.neg', [status(esa)], [clause45])).
% 3.39/1.15 thf(zip_derived_cl11, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.39/1.15 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 3.39/1.15 X14 : $i, X15 : $i, X16 : $i]:
% 3.39/1.15 (~ (ssNder1_0)
% 3.39/1.15 | ~ (ssNder1_1r1 @ X0)
% 3.39/1.15 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 3.39/1.15 | ~ (ssPv19_2r1r1 @ X0 @ X1)
% 3.39/1.15 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 3.39/1.15 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 3.39/1.15 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 3.39/1.15 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 3.39/1.15 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 3.39/1.15 | ~ (ssPv14_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 3.39/1.15 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 3.39/1.15 X7)
% 3.39/1.15 | ~ (ssPv13_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)
% 3.39/1.15 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 3.39/1.15 X6 @ X7 @ X8)
% 3.39/1.15 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 3.39/1.15 X6 @ X7 @ X8 @ X9)
% 3.39/1.15 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.39/1.15 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 3.39/1.15 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.39/1.15 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 3.39/1.15 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.39/1.15 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 3.39/1.15 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 3.39/1.15 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 3.39/1.15 | ~ (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 3.39/1.15 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 3.39/1.15 | ~ (ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 3.39/1.15 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 3.39/1.15 X14 @ X15 @ X16)
% 3.39/1.15 | ~ (ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 3.39/1.15 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 3.39/1.15 X14 @ X15))),
% 3.39/1.15 inference('cnf', [status(esa)], [zf_stmt_25])).
% 3.39/1.15 thf(zip_derived_cl55, plain, ( (ssNder1_0)),
% 3.39/1.15 inference('cnf', [status(esa)], [zf_stmt_1])).
% 3.39/1.15 thf(zip_derived_cl61, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 3.39/1.15 inference('demod', [status(thm)], [zip_derived_cl54, zip_derived_cl55])).
% 3.39/1.15 thf(zip_derived_cl62, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl53, zip_derived_cl55, zip_derived_cl61])).
% 3.39/1.15 thf(zip_derived_cl63, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl52, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62])).
% 3.39/1.15 thf(zip_derived_cl64, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 3.39/1.15 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl51, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62, zip_derived_cl63])).
% 3.39/1.15 thf(zip_derived_cl66, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 3.39/1.15 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl48, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64])).
% 3.39/1.15 thf(zip_derived_cl68, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 3.39/1.15 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl45, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64,
% 3.39/1.15 zip_derived_cl66])).
% 3.39/1.15 thf(zip_derived_cl75, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 3.39/1.15 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl42, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64,
% 3.39/1.15 zip_derived_cl66, zip_derived_cl68])).
% 3.39/1.15 thf(zip_derived_cl76, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 3.39/1.15 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl39, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64,
% 3.39/1.15 zip_derived_cl66, zip_derived_cl68, zip_derived_cl75])).
% 3.39/1.15 thf(zip_derived_cl77, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.39/1.15 X7 : $i, X8 : $i]:
% 3.39/1.15 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 3.39/1.15 X7 @ X8)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl38, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64,
% 3.39/1.15 zip_derived_cl66, zip_derived_cl68, zip_derived_cl75,
% 3.39/1.15 zip_derived_cl76])).
% 3.39/1.15 thf(zip_derived_cl82, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.39/1.15 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 3.39/1.15 X14 : $i, X15 : $i, X16 : $i]:
% 3.39/1.15 (~ (ssPv19_2r1r1 @ X0 @ X1)
% 3.39/1.15 | ~ (ssPv14_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 3.39/1.15 | ~ (ssPv13_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)
% 3.39/1.15 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 3.39/1.15 X6 @ X7 @ X8 @ X9)
% 3.39/1.15 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.39/1.15 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 3.39/1.15 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.39/1.15 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 3.39/1.15 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.39/1.15 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 3.39/1.15 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 3.39/1.15 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 3.39/1.15 | ~ (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 3.39/1.15 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 3.39/1.15 | ~ (ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 3.39/1.15 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 3.39/1.15 X14 @ X15 @ X16)
% 3.39/1.15 | ~ (ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 3.39/1.15 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 3.39/1.15 X14 @ X15))),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl11, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64,
% 3.39/1.15 zip_derived_cl66, zip_derived_cl68, zip_derived_cl75,
% 3.39/1.15 zip_derived_cl76, zip_derived_cl77])).
% 3.39/1.15 thf(zip_derived_cl83, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.39/1.15 X7 : $i, X8 : $i, X9 : $i]:
% 3.39/1.15 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 3.39/1.15 X7 @ X8 @ X9)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl37, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64,
% 3.39/1.15 zip_derived_cl66, zip_derived_cl68, zip_derived_cl75,
% 3.39/1.15 zip_derived_cl76, zip_derived_cl77])).
% 3.39/1.15 thf(zip_derived_cl88, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.39/1.15 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 3.39/1.15 X14 : $i, X15 : $i, X16 : $i]:
% 3.39/1.15 (~ (ssPv19_2r1r1 @ X0 @ X1)
% 3.39/1.15 | ~ (ssPv14_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 3.39/1.15 | ~ (ssPv13_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)
% 3.39/1.15 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.39/1.15 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 3.39/1.15 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.39/1.15 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 3.39/1.15 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.39/1.15 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 3.39/1.15 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 3.39/1.15 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 3.39/1.15 | ~ (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 3.39/1.15 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 3.39/1.15 | ~ (ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 3.39/1.15 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 3.39/1.15 X14 @ X15 @ X16)
% 3.39/1.15 | ~ (ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 3.39/1.15 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 3.39/1.15 X14 @ X15))),
% 3.39/1.15 inference('demod', [status(thm)], [zip_derived_cl82, zip_derived_cl83])).
% 3.39/1.15 thf(zip_derived_cl90, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.39/1.15 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 3.39/1.15 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 3.39/1.15 X6 @ X7 @ X8 @ X9 @ X10)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl35, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64,
% 3.39/1.15 zip_derived_cl66, zip_derived_cl68, zip_derived_cl75,
% 3.39/1.15 zip_derived_cl76, zip_derived_cl77, zip_derived_cl83])).
% 3.39/1.15 thf(zip_derived_cl91, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.39/1.15 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 3.39/1.15 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 3.39/1.15 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl33, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64,
% 3.39/1.15 zip_derived_cl66, zip_derived_cl68, zip_derived_cl75,
% 3.39/1.15 zip_derived_cl76, zip_derived_cl77, zip_derived_cl83,
% 3.39/1.15 zip_derived_cl90])).
% 3.39/1.15 thf(zip_derived_cl95, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.39/1.15 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 3.39/1.15 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.39/1.15 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl29, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64,
% 3.39/1.15 zip_derived_cl66, zip_derived_cl68, zip_derived_cl75,
% 3.39/1.15 zip_derived_cl76, zip_derived_cl77, zip_derived_cl83,
% 3.39/1.15 zip_derived_cl90, zip_derived_cl91])).
% 3.39/1.15 thf(zip_derived_cl97, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.39/1.15 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 3.39/1.15 (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.39/1.15 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl26, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64,
% 3.39/1.15 zip_derived_cl66, zip_derived_cl68, zip_derived_cl75,
% 3.39/1.15 zip_derived_cl76, zip_derived_cl77, zip_derived_cl83,
% 3.39/1.15 zip_derived_cl90, zip_derived_cl91, zip_derived_cl95])).
% 3.39/1.15 thf(zip_derived_cl102, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.39/1.15 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 3.39/1.15 X14 : $i, X15 : $i, X16 : $i]:
% 3.39/1.15 (~ (ssPv19_2r1r1 @ X0 @ X1)
% 3.39/1.15 | ~ (ssPv14_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 3.39/1.15 | ~ (ssPv13_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)
% 3.39/1.15 | ~ (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 3.39/1.15 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 3.39/1.15 | ~ (ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 3.39/1.15 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 3.39/1.15 X14 @ X15 @ X16)
% 3.39/1.15 | ~ (ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 3.39/1.15 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 3.39/1.15 X14 @ X15))),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl88, zip_derived_cl90, zip_derived_cl91,
% 3.39/1.15 zip_derived_cl95, zip_derived_cl97])).
% 3.39/1.15 thf(zip_derived_cl106, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.39/1.15 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 3.39/1.15 X14 : $i]:
% 3.39/1.15 (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.39/1.15 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl23, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64,
% 3.39/1.15 zip_derived_cl66, zip_derived_cl68, zip_derived_cl75,
% 3.39/1.15 zip_derived_cl76, zip_derived_cl77, zip_derived_cl83,
% 3.39/1.15 zip_derived_cl90, zip_derived_cl91, zip_derived_cl95,
% 3.39/1.15 zip_derived_cl97])).
% 3.39/1.15 thf(zip_derived_cl107, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.39/1.15 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 3.39/1.15 X14 : $i, X15 : $i, X16 : $i]:
% 3.39/1.15 (~ (ssPv19_2r1r1 @ X0 @ X1)
% 3.39/1.15 | ~ (ssPv14_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 3.39/1.15 | ~ (ssPv13_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)
% 3.39/1.15 | ~ (ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 3.39/1.15 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 3.39/1.15 X14 @ X15 @ X16)
% 3.39/1.15 | ~ (ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 3.39/1.15 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 3.39/1.15 X14 @ X15))),
% 3.39/1.15 inference('demod', [status(thm)], [zip_derived_cl102, zip_derived_cl106])).
% 3.39/1.15 thf(zip_derived_cl117, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.39/1.15 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 3.39/1.15 X14 : $i, X15 : $i]:
% 3.39/1.15 (ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 3.39/1.15 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl19, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64,
% 3.39/1.15 zip_derived_cl66, zip_derived_cl68, zip_derived_cl75,
% 3.39/1.15 zip_derived_cl76, zip_derived_cl77, zip_derived_cl83,
% 3.39/1.15 zip_derived_cl90, zip_derived_cl91, zip_derived_cl95,
% 3.39/1.15 zip_derived_cl97, zip_derived_cl106])).
% 3.39/1.15 thf(zip_derived_cl118, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.39/1.15 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 3.39/1.15 X14 : $i, X15 : $i, X16 : $i]:
% 3.39/1.15 (~ (ssPv19_2r1r1 @ X0 @ X1)
% 3.39/1.15 | ~ (ssPv14_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 3.39/1.15 | ~ (ssPv13_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)
% 3.39/1.15 | ~ (ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 3.39/1.15 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 3.39/1.15 X14 @ X15 @ X16))),
% 3.39/1.15 inference('demod', [status(thm)], [zip_derived_cl107, zip_derived_cl117])).
% 3.39/1.15 thf(zip_derived_cl155, plain,
% 3.39/1.15 (![X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i,
% 3.39/1.15 X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i, X14 : $i,
% 3.39/1.15 X15 : $i, X16 : $i]:
% 3.39/1.15 (~ (ssPv15_6r1r1r1r1r1r1 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11)
% 3.39/1.15 | (ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X16 @ X15 @ X14 @
% 3.39/1.15 X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @
% 3.39/1.15 X1)
% 3.39/1.15 | (ssPv11_10r1r1r1r1r1r1r1r1r1r1 @ X16 @ X15 @ X14 @ X13 @ X12 @
% 3.39/1.15 X11 @ X10 @ X9 @ X8 @ X7)
% 3.39/1.15 | ~ (ssPv13_8r1r1r1r1r1r1r1r1 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @
% 3.39/1.15 X10 @ X9)
% 3.39/1.15 | ~ (ssPv14_7r1r1r1r1r1r1r1 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10)
% 3.39/1.15 | ~ (ssPv19_2r1r1 @ X16 @ X15))),
% 3.39/1.15 inference('sup-', [status(thm)], [zip_derived_cl154, zip_derived_cl118])).
% 3.39/1.15 thf(clause35, conjecture,
% 3.39/1.15 (~( ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 3.39/1.15 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 3.39/1.15 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 3.39/1.15 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 3.39/1.15 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 3.39/1.15 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 3.39/1.15 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 3.39/1.15 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 3.39/1.15 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 3.39/1.15 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 3.39/1.15 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 3.39/1.15 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 3.39/1.15 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 3.39/1.15 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 3.39/1.15 ( ~( ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 3.39/1.15 X9 @ skc17 ) ) ))).
% 3.39/1.15 thf(zf_stmt_26, negated_conjecture,
% 3.39/1.15 (( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 3.39/1.15 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 3.39/1.15 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 3.39/1.15 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 3.39/1.15 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 3.39/1.15 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 3.39/1.15 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 3.39/1.15 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 3.39/1.15 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 3.39/1.15 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 3.39/1.15 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 3.39/1.15 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 3.39/1.15 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 3.39/1.15 ( ~( ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 3.39/1.15 skc17 ) )),
% 3.39/1.15 inference('cnf.neg', [status(esa)], [clause35])).
% 3.39/1.15 thf(zip_derived_cl21, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.39/1.15 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 3.39/1.15 X14 : $i]:
% 3.39/1.15 (~ (ssNder1_0)
% 3.39/1.15 | ~ (ssNder1_1r1 @ X0)
% 3.39/1.15 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 3.39/1.15 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 3.39/1.15 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 3.39/1.15 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 3.39/1.15 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 3.39/1.15 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 3.39/1.15 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 3.39/1.15 X7)
% 3.39/1.15 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 3.39/1.15 X6 @ X7 @ X8)
% 3.39/1.15 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 3.39/1.15 X6 @ X7 @ X8 @ X9)
% 3.39/1.15 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.39/1.15 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 3.39/1.15 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.39/1.15 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 3.39/1.15 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.39/1.15 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 3.39/1.15 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 3.39/1.15 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 3.39/1.15 | ~ (ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 3.39/1.15 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @
% 3.39/1.15 skc17))),
% 3.39/1.15 inference('cnf', [status(esa)], [zf_stmt_26])).
% 3.39/1.15 thf(zip_derived_cl55, plain, ( (ssNder1_0)),
% 3.39/1.15 inference('cnf', [status(esa)], [zf_stmt_1])).
% 3.39/1.15 thf(zip_derived_cl61, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 3.39/1.15 inference('demod', [status(thm)], [zip_derived_cl54, zip_derived_cl55])).
% 3.39/1.15 thf(zip_derived_cl62, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl53, zip_derived_cl55, zip_derived_cl61])).
% 3.39/1.15 thf(zip_derived_cl63, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl52, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62])).
% 3.39/1.15 thf(zip_derived_cl64, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 3.39/1.15 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl51, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62, zip_derived_cl63])).
% 3.39/1.15 thf(zip_derived_cl66, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 3.39/1.15 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl48, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64])).
% 3.39/1.15 thf(zip_derived_cl68, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 3.39/1.15 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl45, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64,
% 3.39/1.15 zip_derived_cl66])).
% 3.39/1.15 thf(zip_derived_cl75, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 3.39/1.15 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl42, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64,
% 3.39/1.15 zip_derived_cl66, zip_derived_cl68])).
% 3.39/1.15 thf(zip_derived_cl76, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 3.39/1.15 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl39, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64,
% 3.39/1.15 zip_derived_cl66, zip_derived_cl68, zip_derived_cl75])).
% 3.39/1.15 thf(zip_derived_cl77, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.39/1.15 X7 : $i, X8 : $i]:
% 3.39/1.15 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 3.39/1.15 X7 @ X8)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl38, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64,
% 3.39/1.15 zip_derived_cl66, zip_derived_cl68, zip_derived_cl75,
% 3.39/1.15 zip_derived_cl76])).
% 3.39/1.15 thf(zip_derived_cl81, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.39/1.15 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 3.39/1.15 X14 : $i]:
% 3.39/1.15 (~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 3.39/1.15 X6 @ X7 @ X8 @ X9)
% 3.39/1.15 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.39/1.15 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 3.39/1.15 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.39/1.15 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 3.39/1.15 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.39/1.15 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 3.39/1.15 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 3.39/1.15 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 3.39/1.15 | ~ (ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 3.39/1.15 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @
% 3.39/1.15 skc17))),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl21, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64,
% 3.39/1.15 zip_derived_cl66, zip_derived_cl68, zip_derived_cl75,
% 3.39/1.15 zip_derived_cl76, zip_derived_cl77])).
% 3.39/1.15 thf(zip_derived_cl83, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.39/1.15 X7 : $i, X8 : $i, X9 : $i]:
% 3.39/1.15 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 3.39/1.15 X7 @ X8 @ X9)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl37, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64,
% 3.39/1.15 zip_derived_cl66, zip_derived_cl68, zip_derived_cl75,
% 3.39/1.15 zip_derived_cl76, zip_derived_cl77])).
% 3.39/1.15 thf(zip_derived_cl87, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.39/1.15 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 3.39/1.15 X14 : $i]:
% 3.39/1.15 (~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 3.39/1.15 X6 @ X7 @ X8 @ X9 @ X10)
% 3.39/1.15 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.39/1.15 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 3.39/1.15 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.39/1.15 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 3.39/1.15 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 3.39/1.15 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 3.39/1.15 | ~ (ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 3.39/1.15 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @
% 3.39/1.15 skc17))),
% 3.39/1.15 inference('demod', [status(thm)], [zip_derived_cl81, zip_derived_cl83])).
% 3.39/1.15 thf(zip_derived_cl90, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.39/1.15 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 3.39/1.15 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 3.39/1.15 X6 @ X7 @ X8 @ X9 @ X10)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl35, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64,
% 3.39/1.15 zip_derived_cl66, zip_derived_cl68, zip_derived_cl75,
% 3.39/1.15 zip_derived_cl76, zip_derived_cl77, zip_derived_cl83])).
% 3.39/1.15 thf(zip_derived_cl91, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.39/1.15 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 3.39/1.15 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 3.39/1.15 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl33, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64,
% 3.39/1.15 zip_derived_cl66, zip_derived_cl68, zip_derived_cl75,
% 3.39/1.15 zip_derived_cl76, zip_derived_cl77, zip_derived_cl83,
% 3.39/1.15 zip_derived_cl90])).
% 3.39/1.15 thf(zip_derived_cl95, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.39/1.15 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 3.39/1.15 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.39/1.15 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl29, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64,
% 3.39/1.15 zip_derived_cl66, zip_derived_cl68, zip_derived_cl75,
% 3.39/1.15 zip_derived_cl76, zip_derived_cl77, zip_derived_cl83,
% 3.39/1.15 zip_derived_cl90, zip_derived_cl91])).
% 3.39/1.15 thf(zip_derived_cl97, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.39/1.15 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 3.39/1.15 (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.39/1.15 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl26, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64,
% 3.39/1.15 zip_derived_cl66, zip_derived_cl68, zip_derived_cl75,
% 3.39/1.15 zip_derived_cl76, zip_derived_cl77, zip_derived_cl83,
% 3.39/1.15 zip_derived_cl90, zip_derived_cl91, zip_derived_cl95])).
% 3.39/1.15 thf(zip_derived_cl101, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.39/1.15 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 3.39/1.15 X14 : $i]:
% 3.39/1.15 ~ (ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 3.39/1.15 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ skc17)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl87, zip_derived_cl90, zip_derived_cl91,
% 3.39/1.15 zip_derived_cl95, zip_derived_cl97])).
% 3.39/1.15 thf(zip_derived_cl157, plain,
% 3.39/1.15 (![X5 : $i, X6 : $i, X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i,
% 3.39/1.15 X12 : $i, X13 : $i, X14 : $i]:
% 3.39/1.15 (~ (ssPv19_2r1r1 @ X14 @ X13)
% 3.39/1.15 | ~ (ssPv14_7r1r1r1r1r1r1r1 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8)
% 3.39/1.15 | ~ (ssPv13_8r1r1r1r1r1r1r1r1 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @
% 3.39/1.15 X8 @ X7)
% 3.39/1.15 | (ssPv11_10r1r1r1r1r1r1r1r1r1r1 @ X14 @ X13 @ X12 @ X11 @ X10 @
% 3.39/1.15 X9 @ X8 @ X7 @ X6 @ X5)
% 3.39/1.15 | ~ (ssPv15_6r1r1r1r1r1r1 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9))),
% 3.39/1.15 inference('sup-', [status(thm)], [zip_derived_cl155, zip_derived_cl101])).
% 3.39/1.15 thf(clause28, conjecture,
% 3.39/1.15 (~( ( ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ skc20 ) |
% 3.39/1.15 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 3.39/1.15 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 3.39/1.15 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 3.39/1.15 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 3.39/1.15 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 3.39/1.15 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 3.39/1.15 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 3.39/1.15 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 3.39/1.15 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 3.39/1.15 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 3.39/1.15 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 3.39/1.15 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) ))).
% 3.39/1.15 thf(zf_stmt_27, negated_conjecture,
% 3.39/1.15 (( ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ skc20 ) |
% 3.39/1.15 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 3.39/1.15 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 3.39/1.15 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 3.39/1.15 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 3.39/1.15 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 3.39/1.15 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 3.39/1.15 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 3.39/1.15 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 3.39/1.15 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 3.39/1.15 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 3.39/1.15 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) )),
% 3.39/1.15 inference('cnf.neg', [status(esa)], [clause28])).
% 3.39/1.15 thf(zip_derived_cl28, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.39/1.15 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 3.39/1.15 ( (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.39/1.15 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ skc20)
% 3.39/1.15 | ~ (ssNder1_0)
% 3.39/1.15 | ~ (ssNder1_1r1 @ X0)
% 3.39/1.15 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 3.39/1.15 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 3.39/1.15 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 3.39/1.15 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 3.39/1.15 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 3.39/1.15 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 3.39/1.15 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 3.39/1.15 X7)
% 3.39/1.15 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 3.39/1.15 X6 @ X7 @ X8)
% 3.39/1.15 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 3.39/1.15 X6 @ X7 @ X8 @ X9)
% 3.39/1.15 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.39/1.15 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 3.39/1.15 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.39/1.15 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11))),
% 3.39/1.15 inference('cnf', [status(esa)], [zf_stmt_27])).
% 3.39/1.15 thf(zip_derived_cl55, plain, ( (ssNder1_0)),
% 3.39/1.15 inference('cnf', [status(esa)], [zf_stmt_1])).
% 3.39/1.15 thf(zip_derived_cl61, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 3.39/1.15 inference('demod', [status(thm)], [zip_derived_cl54, zip_derived_cl55])).
% 3.39/1.15 thf(zip_derived_cl62, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl53, zip_derived_cl55, zip_derived_cl61])).
% 3.39/1.15 thf(zip_derived_cl63, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl52, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62])).
% 3.39/1.15 thf(zip_derived_cl64, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 3.39/1.15 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl51, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62, zip_derived_cl63])).
% 3.39/1.15 thf(zip_derived_cl66, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 3.39/1.15 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl48, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64])).
% 3.39/1.15 thf(zip_derived_cl68, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 3.39/1.15 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl45, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64,
% 3.39/1.15 zip_derived_cl66])).
% 3.39/1.15 thf(zip_derived_cl75, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 3.39/1.15 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl42, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64,
% 3.39/1.15 zip_derived_cl66, zip_derived_cl68])).
% 3.39/1.15 thf(zip_derived_cl76, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 3.39/1.15 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl39, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64,
% 3.39/1.15 zip_derived_cl66, zip_derived_cl68, zip_derived_cl75])).
% 3.39/1.15 thf(zip_derived_cl77, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.39/1.15 X7 : $i, X8 : $i]:
% 3.39/1.15 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 3.39/1.15 X7 @ X8)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl38, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64,
% 3.39/1.15 zip_derived_cl66, zip_derived_cl68, zip_derived_cl75,
% 3.39/1.15 zip_derived_cl76])).
% 3.39/1.15 thf(zip_derived_cl83, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.39/1.15 X7 : $i, X8 : $i, X9 : $i]:
% 3.39/1.15 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 3.39/1.15 X7 @ X8 @ X9)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl37, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64,
% 3.39/1.15 zip_derived_cl66, zip_derived_cl68, zip_derived_cl75,
% 3.39/1.15 zip_derived_cl76, zip_derived_cl77])).
% 3.39/1.15 thf(zip_derived_cl90, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.39/1.15 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 3.39/1.15 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 3.39/1.15 X6 @ X7 @ X8 @ X9 @ X10)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl35, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64,
% 3.39/1.15 zip_derived_cl66, zip_derived_cl68, zip_derived_cl75,
% 3.39/1.15 zip_derived_cl76, zip_derived_cl77, zip_derived_cl83])).
% 3.39/1.15 thf(zip_derived_cl91, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.39/1.15 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 3.39/1.15 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 3.39/1.15 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl33, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64,
% 3.39/1.15 zip_derived_cl66, zip_derived_cl68, zip_derived_cl75,
% 3.39/1.15 zip_derived_cl76, zip_derived_cl77, zip_derived_cl83,
% 3.39/1.15 zip_derived_cl90])).
% 3.39/1.15 thf(zip_derived_cl96, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.39/1.15 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 3.39/1.15 (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.39/1.15 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ skc20)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl28, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64,
% 3.39/1.15 zip_derived_cl66, zip_derived_cl68, zip_derived_cl75,
% 3.39/1.15 zip_derived_cl76, zip_derived_cl77, zip_derived_cl83,
% 3.39/1.15 zip_derived_cl90, zip_derived_cl91])).
% 3.39/1.15 thf(clause48, conjecture,
% 3.39/1.15 (~( ( ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 3.39/1.15 X10 @ X11 ) |
% 3.39/1.15 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 3.39/1.15 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 3.39/1.15 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 3.39/1.15 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 3.39/1.15 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 3.39/1.15 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 3.39/1.15 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 3.39/1.15 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 3.39/1.15 ( ~( ssPv13_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 3.39/1.15 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 3.39/1.15 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 3.39/1.15 ( ~( ssPv11_10r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 3.39/1.15 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 3.39/1.15 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 3.39/1.15 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 3.39/1.15 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 3.39/1.15 ( ~( ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 3.39/1.15 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 3.39/1.15 ( ~( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 3.39/1.15 X9 @ X10 ) ) ))).
% 3.39/1.15 thf(zf_stmt_28, negated_conjecture,
% 3.39/1.15 (( ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 3.39/1.15 X10 @ X11 ) |
% 3.39/1.15 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 3.39/1.15 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 3.39/1.15 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 3.39/1.15 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 3.39/1.15 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 3.39/1.15 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 3.39/1.15 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 3.39/1.15 ( ~( ssPv13_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 3.39/1.15 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 3.39/1.15 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 3.39/1.15 ( ~( ssPv11_10r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 3.39/1.15 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 3.39/1.15 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 3.39/1.15 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 3.39/1.15 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 3.39/1.15 ( ~( ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 3.39/1.15 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 3.39/1.15 ( ~( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 3.39/1.15 X10 ) )),
% 3.39/1.15 inference('cnf.neg', [status(esa)], [clause48])).
% 3.39/1.15 thf(zip_derived_cl8, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.39/1.15 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 3.39/1.15 X14 : $i, X15 : $i, X16 : $i]:
% 3.39/1.15 ( (ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 3.39/1.15 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @
% 3.39/1.15 X16)
% 3.39/1.15 | ~ (ssNder1_0)
% 3.39/1.15 | ~ (ssNder1_1r1 @ X0)
% 3.39/1.15 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 3.39/1.15 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 3.39/1.15 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 3.39/1.15 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 3.39/1.15 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 3.39/1.15 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 3.39/1.15 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 3.39/1.15 X7)
% 3.39/1.15 | ~ (ssPv13_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)
% 3.39/1.15 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 3.39/1.15 X6 @ X7 @ X8)
% 3.39/1.15 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 3.39/1.15 X6 @ X7 @ X8 @ X9)
% 3.39/1.15 | ~ (ssPv11_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 3.39/1.15 X6 @ X7 @ X8 @ X9)
% 3.39/1.15 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.39/1.15 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 3.39/1.15 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.39/1.15 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 3.39/1.15 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.39/1.15 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 3.39/1.15 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 3.39/1.15 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 3.39/1.15 | ~ (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.39/1.15 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 3.39/1.15 | ~ (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 3.39/1.15 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 3.39/1.15 | ~ (ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 3.39/1.15 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 3.39/1.15 X14 @ X15))),
% 3.39/1.15 inference('cnf', [status(esa)], [zf_stmt_28])).
% 3.39/1.15 thf(zip_derived_cl55, plain, ( (ssNder1_0)),
% 3.39/1.15 inference('cnf', [status(esa)], [zf_stmt_1])).
% 3.39/1.15 thf(zip_derived_cl61, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 3.39/1.15 inference('demod', [status(thm)], [zip_derived_cl54, zip_derived_cl55])).
% 3.39/1.15 thf(zip_derived_cl62, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl53, zip_derived_cl55, zip_derived_cl61])).
% 3.39/1.15 thf(zip_derived_cl63, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl52, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62])).
% 3.39/1.15 thf(zip_derived_cl64, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 3.39/1.15 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl51, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62, zip_derived_cl63])).
% 3.39/1.15 thf(zip_derived_cl66, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 3.39/1.15 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl48, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64])).
% 3.39/1.15 thf(zip_derived_cl68, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 3.39/1.15 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl45, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64,
% 3.39/1.15 zip_derived_cl66])).
% 3.39/1.15 thf(zip_derived_cl75, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 3.39/1.15 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl42, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64,
% 3.39/1.15 zip_derived_cl66, zip_derived_cl68])).
% 3.39/1.15 thf(zip_derived_cl76, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 3.39/1.15 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl39, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64,
% 3.39/1.15 zip_derived_cl66, zip_derived_cl68, zip_derived_cl75])).
% 3.39/1.15 thf(zip_derived_cl77, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.39/1.15 X7 : $i, X8 : $i]:
% 3.39/1.15 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 3.39/1.15 X7 @ X8)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl38, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64,
% 3.39/1.15 zip_derived_cl66, zip_derived_cl68, zip_derived_cl75,
% 3.39/1.15 zip_derived_cl76])).
% 3.39/1.15 thf(zip_derived_cl83, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.39/1.15 X7 : $i, X8 : $i, X9 : $i]:
% 3.39/1.15 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 3.39/1.15 X7 @ X8 @ X9)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl37, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64,
% 3.39/1.15 zip_derived_cl66, zip_derived_cl68, zip_derived_cl75,
% 3.39/1.15 zip_derived_cl76, zip_derived_cl77])).
% 3.39/1.15 thf(zip_derived_cl90, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.39/1.15 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 3.39/1.15 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 3.39/1.15 X6 @ X7 @ X8 @ X9 @ X10)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl35, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64,
% 3.39/1.15 zip_derived_cl66, zip_derived_cl68, zip_derived_cl75,
% 3.39/1.15 zip_derived_cl76, zip_derived_cl77, zip_derived_cl83])).
% 3.39/1.15 thf(zip_derived_cl91, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.39/1.15 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 3.39/1.15 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 3.39/1.15 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl33, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64,
% 3.39/1.15 zip_derived_cl66, zip_derived_cl68, zip_derived_cl75,
% 3.39/1.15 zip_derived_cl76, zip_derived_cl77, zip_derived_cl83,
% 3.39/1.15 zip_derived_cl90])).
% 3.39/1.15 thf(zip_derived_cl95, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.39/1.15 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 3.39/1.15 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.39/1.15 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl29, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64,
% 3.39/1.15 zip_derived_cl66, zip_derived_cl68, zip_derived_cl75,
% 3.39/1.15 zip_derived_cl76, zip_derived_cl77, zip_derived_cl83,
% 3.39/1.15 zip_derived_cl90, zip_derived_cl91])).
% 3.39/1.15 thf(zip_derived_cl97, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.39/1.15 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 3.39/1.15 (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.39/1.15 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl26, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64,
% 3.39/1.15 zip_derived_cl66, zip_derived_cl68, zip_derived_cl75,
% 3.39/1.15 zip_derived_cl76, zip_derived_cl77, zip_derived_cl83,
% 3.39/1.15 zip_derived_cl90, zip_derived_cl91, zip_derived_cl95])).
% 3.39/1.15 thf(zip_derived_cl106, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.39/1.15 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 3.39/1.15 X14 : $i]:
% 3.39/1.15 (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.39/1.15 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl23, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64,
% 3.39/1.15 zip_derived_cl66, zip_derived_cl68, zip_derived_cl75,
% 3.39/1.15 zip_derived_cl76, zip_derived_cl77, zip_derived_cl83,
% 3.39/1.15 zip_derived_cl90, zip_derived_cl91, zip_derived_cl95,
% 3.39/1.15 zip_derived_cl97])).
% 3.39/1.15 thf(zip_derived_cl117, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.39/1.15 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 3.39/1.15 X14 : $i, X15 : $i]:
% 3.39/1.15 (ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 3.39/1.15 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl19, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64,
% 3.39/1.15 zip_derived_cl66, zip_derived_cl68, zip_derived_cl75,
% 3.39/1.15 zip_derived_cl76, zip_derived_cl77, zip_derived_cl83,
% 3.39/1.15 zip_derived_cl90, zip_derived_cl91, zip_derived_cl95,
% 3.39/1.15 zip_derived_cl97, zip_derived_cl106])).
% 3.39/1.15 thf(zip_derived_cl147, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.39/1.15 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 3.39/1.15 X14 : $i, X15 : $i, X16 : $i]:
% 3.39/1.15 ( (ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 3.39/1.15 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @
% 3.39/1.15 X16)
% 3.39/1.15 | ~ (ssPv13_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)
% 3.39/1.15 | ~ (ssPv11_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 3.39/1.15 X6 @ X7 @ X8 @ X9)
% 3.39/1.15 | ~ (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.39/1.15 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13))),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl8, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64,
% 3.39/1.15 zip_derived_cl66, zip_derived_cl68, zip_derived_cl75,
% 3.39/1.15 zip_derived_cl76, zip_derived_cl77, zip_derived_cl83,
% 3.39/1.15 zip_derived_cl90, zip_derived_cl91, zip_derived_cl95,
% 3.39/1.15 zip_derived_cl97, zip_derived_cl106, zip_derived_cl117])).
% 3.39/1.15 thf(zip_derived_cl118, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.39/1.15 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 3.39/1.15 X14 : $i, X15 : $i, X16 : $i]:
% 3.39/1.15 (~ (ssPv19_2r1r1 @ X0 @ X1)
% 3.39/1.15 | ~ (ssPv14_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 3.39/1.15 | ~ (ssPv13_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)
% 3.39/1.15 | ~ (ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 3.39/1.15 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 3.39/1.15 X14 @ X15 @ X16))),
% 3.39/1.15 inference('demod', [status(thm)], [zip_derived_cl107, zip_derived_cl117])).
% 3.39/1.15 thf(zip_derived_cl148, plain,
% 3.39/1.15 (![X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i, X8 : $i, X9 : $i,
% 3.39/1.15 X10 : $i, X11 : $i, X12 : $i, X13 : $i, X14 : $i, X15 : $i, X16 : $i]:
% 3.39/1.15 (~ (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X16 @ X15 @ X14 @ X13 @
% 3.39/1.15 X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3)
% 3.39/1.15 | ~ (ssPv11_10r1r1r1r1r1r1r1r1r1r1 @ X16 @ X15 @ X14 @ X13 @ X12 @
% 3.39/1.15 X11 @ X10 @ X9 @ X8 @ X7)
% 3.39/1.15 | ~ (ssPv13_8r1r1r1r1r1r1r1r1 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @
% 3.39/1.15 X10 @ X9)
% 3.39/1.15 | ~ (ssPv13_8r1r1r1r1r1r1r1r1 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @
% 3.39/1.15 X10 @ X9)
% 3.39/1.15 | ~ (ssPv14_7r1r1r1r1r1r1r1 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10)
% 3.39/1.15 | ~ (ssPv19_2r1r1 @ X16 @ X15))),
% 3.39/1.15 inference('sup-', [status(thm)], [zip_derived_cl147, zip_derived_cl118])).
% 3.39/1.15 thf(zip_derived_cl149, plain,
% 3.39/1.15 (![X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i, X8 : $i, X9 : $i,
% 3.39/1.15 X10 : $i, X11 : $i, X12 : $i, X13 : $i, X14 : $i, X15 : $i, X16 : $i]:
% 3.39/1.15 (~ (ssPv19_2r1r1 @ X16 @ X15)
% 3.39/1.15 | ~ (ssPv14_7r1r1r1r1r1r1r1 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10)
% 3.39/1.15 | ~ (ssPv13_8r1r1r1r1r1r1r1r1 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @
% 3.39/1.15 X10 @ X9)
% 3.39/1.15 | ~ (ssPv11_10r1r1r1r1r1r1r1r1r1r1 @ X16 @ X15 @ X14 @ X13 @ X12 @
% 3.39/1.15 X11 @ X10 @ X9 @ X8 @ X7)
% 3.39/1.15 | ~ (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X16 @ X15 @ X14 @ X13 @
% 3.39/1.15 X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3))),
% 3.39/1.15 inference('simplify', [status(thm)], [zip_derived_cl148])).
% 3.39/1.15 thf(zip_derived_cl158, plain,
% 3.39/1.15 (![X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i, X8 : $i, X9 : $i,
% 3.39/1.15 X10 : $i, X11 : $i, X12 : $i]:
% 3.39/1.15 (~ (ssPv11_10r1r1r1r1r1r1r1r1r1r1 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @
% 3.39/1.15 X6 @ X5 @ X4 @ X3)
% 3.39/1.15 | ~ (ssPv13_8r1r1r1r1r1r1r1r1 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @
% 3.39/1.15 X6 @ X5)
% 3.39/1.15 | ~ (ssPv14_7r1r1r1r1r1r1r1 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6)
% 3.39/1.15 | ~ (ssPv19_2r1r1 @ X12 @ X11))),
% 3.39/1.15 inference('sup-', [status(thm)], [zip_derived_cl96, zip_derived_cl149])).
% 3.39/1.15 thf(zip_derived_cl170, plain,
% 3.39/1.15 (![X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 3.39/1.15 X14 : $i]:
% 3.39/1.15 (~ (ssPv15_6r1r1r1r1r1r1 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9)
% 3.39/1.15 | ~ (ssPv13_8r1r1r1r1r1r1r1r1 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @
% 3.39/1.15 X8 @ X7)
% 3.39/1.15 | ~ (ssPv14_7r1r1r1r1r1r1r1 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8)
% 3.39/1.15 | ~ (ssPv19_2r1r1 @ X14 @ X13))),
% 3.39/1.15 inference('clc', [status(thm)], [zip_derived_cl157, zip_derived_cl158])).
% 3.39/1.15 thf(zip_derived_cl171, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 3.39/1.15 (~ (ssPv19_2r1r1 @ X6 @ X5)
% 3.39/1.15 | ~ (ssPv14_7r1r1r1r1r1r1r1 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 3.39/1.15 | ~ (ssPv15_6r1r1r1r1r1r1 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1))),
% 3.39/1.15 inference('sup-', [status(thm)], [zip_derived_cl74, zip_derived_cl170])).
% 3.39/1.15 thf(zip_derived_cl172, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 3.39/1.15 (~ (ssPv15_6r1r1r1r1r1r1 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 3.39/1.15 | ~ (ssPv19_2r1r1 @ X5 @ X4))),
% 3.39/1.15 inference('sup-', [status(thm)], [zip_derived_cl72, zip_derived_cl171])).
% 3.39/1.15 thf(zip_derived_cl173, plain,
% 3.39/1.15 (![X3 : $i, X4 : $i]: ~ (ssPv19_2r1r1 @ X4 @ X3)),
% 3.39/1.15 inference('sup-', [status(thm)], [zip_derived_cl67, zip_derived_cl172])).
% 3.39/1.15 thf(zip_derived_cl55, plain, ( (ssNder1_0)),
% 3.39/1.15 inference('cnf', [status(esa)], [zf_stmt_1])).
% 3.39/1.15 thf(zip_derived_cl61, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 3.39/1.15 inference('demod', [status(thm)], [zip_derived_cl54, zip_derived_cl55])).
% 3.39/1.15 thf(zip_derived_cl62, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl53, zip_derived_cl55, zip_derived_cl61])).
% 3.39/1.15 thf(zip_derived_cl63, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl52, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62])).
% 3.39/1.15 thf(zip_derived_cl64, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 3.39/1.15 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl51, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62, zip_derived_cl63])).
% 3.39/1.15 thf(zip_derived_cl66, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 3.39/1.15 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl48, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64])).
% 3.39/1.15 thf(zip_derived_cl68, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 3.39/1.15 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl45, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64,
% 3.39/1.15 zip_derived_cl66])).
% 3.39/1.15 thf(zip_derived_cl75, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 3.39/1.15 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl42, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64,
% 3.39/1.15 zip_derived_cl66, zip_derived_cl68])).
% 3.39/1.15 thf(zip_derived_cl76, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 3.39/1.15 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl39, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64,
% 3.39/1.15 zip_derived_cl66, zip_derived_cl68, zip_derived_cl75])).
% 3.39/1.15 thf(zip_derived_cl77, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.39/1.15 X7 : $i, X8 : $i]:
% 3.39/1.15 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 3.39/1.15 X7 @ X8)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl38, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64,
% 3.39/1.15 zip_derived_cl66, zip_derived_cl68, zip_derived_cl75,
% 3.39/1.15 zip_derived_cl76])).
% 3.39/1.15 thf(zip_derived_cl83, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.39/1.15 X7 : $i, X8 : $i, X9 : $i]:
% 3.39/1.15 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 3.39/1.15 X7 @ X8 @ X9)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl37, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64,
% 3.39/1.15 zip_derived_cl66, zip_derived_cl68, zip_derived_cl75,
% 3.39/1.15 zip_derived_cl76, zip_derived_cl77])).
% 3.39/1.15 thf(zip_derived_cl90, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.39/1.15 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 3.39/1.15 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 3.39/1.15 X6 @ X7 @ X8 @ X9 @ X10)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl35, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64,
% 3.39/1.15 zip_derived_cl66, zip_derived_cl68, zip_derived_cl75,
% 3.39/1.15 zip_derived_cl76, zip_derived_cl77, zip_derived_cl83])).
% 3.39/1.15 thf(zip_derived_cl91, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.39/1.15 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 3.39/1.15 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 3.39/1.15 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl33, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64,
% 3.39/1.15 zip_derived_cl66, zip_derived_cl68, zip_derived_cl75,
% 3.39/1.15 zip_derived_cl76, zip_derived_cl77, zip_derived_cl83,
% 3.39/1.15 zip_derived_cl90])).
% 3.39/1.15 thf(zip_derived_cl95, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.39/1.15 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 3.39/1.15 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.39/1.15 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl29, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64,
% 3.39/1.15 zip_derived_cl66, zip_derived_cl68, zip_derived_cl75,
% 3.39/1.15 zip_derived_cl76, zip_derived_cl77, zip_derived_cl83,
% 3.39/1.15 zip_derived_cl90, zip_derived_cl91])).
% 3.39/1.15 thf(zip_derived_cl97, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.39/1.15 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 3.39/1.15 (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.39/1.15 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl26, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64,
% 3.39/1.15 zip_derived_cl66, zip_derived_cl68, zip_derived_cl75,
% 3.39/1.15 zip_derived_cl76, zip_derived_cl77, zip_derived_cl83,
% 3.39/1.15 zip_derived_cl90, zip_derived_cl91, zip_derived_cl95])).
% 3.39/1.15 thf(zip_derived_cl106, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.39/1.15 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 3.39/1.15 X14 : $i]:
% 3.39/1.15 (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.39/1.15 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl23, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64,
% 3.39/1.15 zip_derived_cl66, zip_derived_cl68, zip_derived_cl75,
% 3.39/1.15 zip_derived_cl76, zip_derived_cl77, zip_derived_cl83,
% 3.39/1.15 zip_derived_cl90, zip_derived_cl91, zip_derived_cl95,
% 3.39/1.15 zip_derived_cl97])).
% 3.39/1.15 thf(zip_derived_cl117, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.39/1.15 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 3.39/1.15 X14 : $i, X15 : $i]:
% 3.39/1.15 (ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 3.39/1.15 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl19, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64,
% 3.39/1.15 zip_derived_cl66, zip_derived_cl68, zip_derived_cl75,
% 3.39/1.15 zip_derived_cl76, zip_derived_cl77, zip_derived_cl83,
% 3.39/1.15 zip_derived_cl90, zip_derived_cl91, zip_derived_cl95,
% 3.39/1.15 zip_derived_cl97, zip_derived_cl106])).
% 3.39/1.15 thf(clause40, conjecture,
% 3.39/1.15 (~( ( ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 3.39/1.15 X10 @ X11 ) |
% 3.39/1.15 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 3.39/1.15 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 3.39/1.15 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 3.39/1.15 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 3.39/1.15 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 3.39/1.15 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 3.39/1.15 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 3.39/1.15 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 3.39/1.15 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 3.39/1.15 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 3.39/1.15 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 3.39/1.15 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 3.39/1.15 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 3.39/1.15 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 3.39/1.15 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 3.39/1.15 ( ~( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 3.39/1.15 X9 @ X10 ) ) ))).
% 3.39/1.15 thf(zf_stmt_29, negated_conjecture,
% 3.39/1.15 (( ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 3.39/1.15 X10 @ X11 ) |
% 3.39/1.15 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 3.39/1.15 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 3.39/1.15 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 3.39/1.15 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 3.39/1.15 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 3.39/1.15 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 3.39/1.15 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 3.39/1.15 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 3.39/1.15 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 3.39/1.15 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 3.39/1.15 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 3.39/1.15 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 3.39/1.15 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 3.39/1.15 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 3.39/1.15 ( ~( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 3.39/1.15 X10 ) )),
% 3.39/1.15 inference('cnf.neg', [status(esa)], [clause40])).
% 3.39/1.15 thf(zip_derived_cl16, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.39/1.15 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 3.39/1.15 X14 : $i, X15 : $i, X16 : $i]:
% 3.39/1.15 ( (ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 3.39/1.15 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @
% 3.39/1.15 X16)
% 3.39/1.15 | ~ (ssNder1_0)
% 3.39/1.15 | ~ (ssNder1_1r1 @ X0)
% 3.39/1.15 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 3.39/1.15 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 3.39/1.15 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 3.39/1.15 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 3.39/1.15 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 3.39/1.15 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 3.39/1.15 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 3.39/1.15 X7)
% 3.39/1.15 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 3.39/1.15 X6 @ X7 @ X8)
% 3.39/1.15 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 3.39/1.15 X6 @ X7 @ X8 @ X9)
% 3.39/1.15 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.39/1.15 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 3.39/1.15 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.39/1.15 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 3.39/1.15 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.39/1.15 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 3.39/1.15 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 3.39/1.15 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 3.39/1.15 | ~ (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 3.39/1.15 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 3.39/1.15 | ~ (ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 3.39/1.15 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 3.39/1.15 X14 @ X15))),
% 3.39/1.15 inference('cnf', [status(esa)], [zf_stmt_29])).
% 3.39/1.15 thf(zip_derived_cl55, plain, ( (ssNder1_0)),
% 3.39/1.15 inference('cnf', [status(esa)], [zf_stmt_1])).
% 3.39/1.15 thf(zip_derived_cl61, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 3.39/1.15 inference('demod', [status(thm)], [zip_derived_cl54, zip_derived_cl55])).
% 3.39/1.15 thf(zip_derived_cl62, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl53, zip_derived_cl55, zip_derived_cl61])).
% 3.39/1.15 thf(zip_derived_cl63, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl52, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62])).
% 3.39/1.15 thf(zip_derived_cl64, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 3.39/1.15 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl51, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62, zip_derived_cl63])).
% 3.39/1.15 thf(zip_derived_cl66, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 3.39/1.15 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl48, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64])).
% 3.39/1.15 thf(zip_derived_cl68, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 3.39/1.15 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl45, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64,
% 3.39/1.15 zip_derived_cl66])).
% 3.39/1.15 thf(zip_derived_cl75, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 3.39/1.15 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl42, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64,
% 3.39/1.15 zip_derived_cl66, zip_derived_cl68])).
% 3.39/1.15 thf(zip_derived_cl76, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 3.39/1.15 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl39, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64,
% 3.39/1.15 zip_derived_cl66, zip_derived_cl68, zip_derived_cl75])).
% 3.39/1.15 thf(zip_derived_cl77, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.39/1.15 X7 : $i, X8 : $i]:
% 3.39/1.15 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 3.39/1.15 X7 @ X8)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl38, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64,
% 3.39/1.15 zip_derived_cl66, zip_derived_cl68, zip_derived_cl75,
% 3.39/1.15 zip_derived_cl76])).
% 3.39/1.15 thf(zip_derived_cl83, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.39/1.15 X7 : $i, X8 : $i, X9 : $i]:
% 3.39/1.15 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 3.39/1.15 X7 @ X8 @ X9)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl37, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64,
% 3.39/1.15 zip_derived_cl66, zip_derived_cl68, zip_derived_cl75,
% 3.39/1.15 zip_derived_cl76, zip_derived_cl77])).
% 3.39/1.15 thf(zip_derived_cl90, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.39/1.15 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 3.39/1.15 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 3.39/1.15 X6 @ X7 @ X8 @ X9 @ X10)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl35, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64,
% 3.39/1.15 zip_derived_cl66, zip_derived_cl68, zip_derived_cl75,
% 3.39/1.15 zip_derived_cl76, zip_derived_cl77, zip_derived_cl83])).
% 3.39/1.15 thf(zip_derived_cl91, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.39/1.15 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 3.39/1.15 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 3.39/1.15 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl33, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64,
% 3.39/1.15 zip_derived_cl66, zip_derived_cl68, zip_derived_cl75,
% 3.39/1.15 zip_derived_cl76, zip_derived_cl77, zip_derived_cl83,
% 3.39/1.15 zip_derived_cl90])).
% 3.39/1.15 thf(zip_derived_cl95, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.39/1.15 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 3.39/1.15 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.39/1.15 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl29, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64,
% 3.39/1.15 zip_derived_cl66, zip_derived_cl68, zip_derived_cl75,
% 3.39/1.15 zip_derived_cl76, zip_derived_cl77, zip_derived_cl83,
% 3.39/1.15 zip_derived_cl90, zip_derived_cl91])).
% 3.39/1.15 thf(zip_derived_cl97, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.39/1.15 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 3.39/1.15 (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.39/1.15 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl26, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64,
% 3.39/1.15 zip_derived_cl66, zip_derived_cl68, zip_derived_cl75,
% 3.39/1.15 zip_derived_cl76, zip_derived_cl77, zip_derived_cl83,
% 3.39/1.15 zip_derived_cl90, zip_derived_cl91, zip_derived_cl95])).
% 3.39/1.15 thf(zip_derived_cl106, plain,
% 3.39/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.39/1.15 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 3.39/1.15 X14 : $i]:
% 3.39/1.15 (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.39/1.15 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)),
% 3.39/1.15 inference('demod', [status(thm)],
% 3.39/1.15 [zip_derived_cl23, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.15 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64,
% 3.39/1.15 zip_derived_cl66, zip_derived_cl68, zip_derived_cl75,
% 3.39/1.15 zip_derived_cl76, zip_derived_cl77, zip_derived_cl83,
% 3.39/1.16 zip_derived_cl90, zip_derived_cl91, zip_derived_cl95,
% 3.39/1.16 zip_derived_cl97])).
% 3.39/1.16 thf(zip_derived_cl117, plain,
% 3.39/1.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.39/1.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 3.39/1.16 X14 : $i, X15 : $i]:
% 3.39/1.16 (ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 3.39/1.16 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15)),
% 3.39/1.16 inference('demod', [status(thm)],
% 3.39/1.16 [zip_derived_cl19, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.16 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64,
% 3.39/1.16 zip_derived_cl66, zip_derived_cl68, zip_derived_cl75,
% 3.39/1.16 zip_derived_cl76, zip_derived_cl77, zip_derived_cl83,
% 3.39/1.16 zip_derived_cl90, zip_derived_cl91, zip_derived_cl95,
% 3.39/1.16 zip_derived_cl97, zip_derived_cl106])).
% 3.39/1.16 thf(zip_derived_cl125, plain,
% 3.39/1.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.39/1.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 3.39/1.16 X14 : $i, X15 : $i, X16 : $i]:
% 3.39/1.16 (ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 3.39/1.16 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @
% 3.39/1.16 X16)),
% 3.39/1.16 inference('demod', [status(thm)],
% 3.39/1.16 [zip_derived_cl16, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.16 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64,
% 3.39/1.16 zip_derived_cl66, zip_derived_cl68, zip_derived_cl75,
% 3.39/1.16 zip_derived_cl76, zip_derived_cl77, zip_derived_cl83,
% 3.39/1.16 zip_derived_cl90, zip_derived_cl91, zip_derived_cl95,
% 3.39/1.16 zip_derived_cl97, zip_derived_cl106, zip_derived_cl117])).
% 3.39/1.16 thf(clause44, conjecture,
% 3.39/1.16 (~( ( ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 3.39/1.16 X10 @ X11 @ X12 ) |
% 3.39/1.16 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 3.39/1.16 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 3.39/1.16 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 3.39/1.16 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 3.39/1.16 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 3.39/1.16 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 3.39/1.16 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 3.39/1.16 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 3.39/1.16 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 3.39/1.16 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 3.39/1.16 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 3.39/1.16 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 3.39/1.16 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 3.39/1.16 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 3.39/1.16 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 3.39/1.16 ( ~( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 3.39/1.16 X9 @ X10 ) ) |
% 3.39/1.16 ( ~( ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 3.39/1.16 X9 @ X10 @ X11 ) ) ))).
% 3.39/1.16 thf(zf_stmt_30, negated_conjecture,
% 3.39/1.16 (( ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 3.39/1.16 X10 @ X11 @ X12 ) |
% 3.39/1.16 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 3.39/1.16 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 3.39/1.16 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 3.39/1.16 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 3.39/1.16 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 3.39/1.16 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 3.39/1.16 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 3.39/1.16 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 3.39/1.16 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 3.39/1.16 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 3.39/1.16 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 3.39/1.16 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 3.39/1.16 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 3.39/1.16 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 3.39/1.16 ( ~( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 3.39/1.16 X10 ) ) |
% 3.39/1.16 ( ~( ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 3.39/1.16 X10 @ X11 ) )),
% 3.39/1.16 inference('cnf.neg', [status(esa)], [clause44])).
% 3.39/1.16 thf(zip_derived_cl12, plain,
% 3.39/1.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.39/1.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 3.39/1.16 X14 : $i, X15 : $i, X16 : $i, X17 : $i]:
% 3.39/1.16 ( (ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 3.39/1.16 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @
% 3.39/1.16 X15 @ X16 @ X17)
% 3.39/1.16 | ~ (ssNder1_0)
% 3.39/1.16 | ~ (ssNder1_1r1 @ X0)
% 3.39/1.16 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 3.39/1.16 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 3.39/1.16 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 3.39/1.16 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 3.39/1.16 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 3.39/1.16 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 3.39/1.16 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 3.39/1.16 X7)
% 3.39/1.16 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 3.39/1.16 X6 @ X7 @ X8)
% 3.39/1.16 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 3.39/1.16 X6 @ X7 @ X8 @ X9)
% 3.39/1.16 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.39/1.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 3.39/1.16 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.39/1.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 3.39/1.16 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.39/1.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 3.39/1.16 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 3.39/1.16 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 3.39/1.16 | ~ (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 3.39/1.16 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 3.39/1.16 | ~ (ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 3.39/1.16 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 3.39/1.16 X14 @ X15)
% 3.39/1.16 | ~ (ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 3.39/1.16 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 3.39/1.16 X14 @ X15 @ X16))),
% 3.39/1.16 inference('cnf', [status(esa)], [zf_stmt_30])).
% 3.39/1.16 thf(zip_derived_cl55, plain, ( (ssNder1_0)),
% 3.39/1.16 inference('cnf', [status(esa)], [zf_stmt_1])).
% 3.39/1.16 thf(zip_derived_cl61, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 3.39/1.16 inference('demod', [status(thm)], [zip_derived_cl54, zip_derived_cl55])).
% 3.39/1.16 thf(zip_derived_cl62, plain,
% 3.39/1.16 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 3.39/1.16 inference('demod', [status(thm)],
% 3.39/1.16 [zip_derived_cl53, zip_derived_cl55, zip_derived_cl61])).
% 3.39/1.16 thf(zip_derived_cl63, plain,
% 3.39/1.16 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 3.39/1.16 inference('demod', [status(thm)],
% 3.39/1.16 [zip_derived_cl52, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.16 zip_derived_cl62])).
% 3.39/1.16 thf(zip_derived_cl64, plain,
% 3.39/1.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 3.39/1.16 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 3.39/1.16 inference('demod', [status(thm)],
% 3.39/1.16 [zip_derived_cl51, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.16 zip_derived_cl62, zip_derived_cl63])).
% 3.39/1.16 thf(zip_derived_cl66, plain,
% 3.39/1.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 3.39/1.16 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 3.39/1.16 inference('demod', [status(thm)],
% 3.39/1.16 [zip_derived_cl48, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.16 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64])).
% 3.39/1.16 thf(zip_derived_cl68, plain,
% 3.39/1.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 3.39/1.16 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 3.39/1.16 inference('demod', [status(thm)],
% 3.39/1.16 [zip_derived_cl45, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.16 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64,
% 3.39/1.16 zip_derived_cl66])).
% 3.39/1.16 thf(zip_derived_cl75, plain,
% 3.39/1.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 3.39/1.16 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 3.39/1.16 inference('demod', [status(thm)],
% 3.39/1.16 [zip_derived_cl42, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.16 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64,
% 3.39/1.16 zip_derived_cl66, zip_derived_cl68])).
% 3.39/1.16 thf(zip_derived_cl76, plain,
% 3.39/1.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 3.39/1.16 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 3.39/1.16 inference('demod', [status(thm)],
% 3.39/1.16 [zip_derived_cl39, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.16 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64,
% 3.39/1.16 zip_derived_cl66, zip_derived_cl68, zip_derived_cl75])).
% 3.39/1.16 thf(zip_derived_cl77, plain,
% 3.39/1.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.39/1.16 X7 : $i, X8 : $i]:
% 3.39/1.16 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 3.39/1.16 X7 @ X8)),
% 3.39/1.16 inference('demod', [status(thm)],
% 3.39/1.16 [zip_derived_cl38, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.16 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64,
% 3.39/1.16 zip_derived_cl66, zip_derived_cl68, zip_derived_cl75,
% 3.39/1.16 zip_derived_cl76])).
% 3.39/1.16 thf(zip_derived_cl83, plain,
% 3.39/1.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.39/1.16 X7 : $i, X8 : $i, X9 : $i]:
% 3.39/1.16 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 3.39/1.16 X7 @ X8 @ X9)),
% 3.39/1.16 inference('demod', [status(thm)],
% 3.39/1.16 [zip_derived_cl37, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.16 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64,
% 3.39/1.16 zip_derived_cl66, zip_derived_cl68, zip_derived_cl75,
% 3.39/1.16 zip_derived_cl76, zip_derived_cl77])).
% 3.39/1.16 thf(zip_derived_cl90, plain,
% 3.39/1.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.39/1.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 3.39/1.16 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 3.39/1.16 X6 @ X7 @ X8 @ X9 @ X10)),
% 3.39/1.16 inference('demod', [status(thm)],
% 3.39/1.16 [zip_derived_cl35, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.16 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64,
% 3.39/1.16 zip_derived_cl66, zip_derived_cl68, zip_derived_cl75,
% 3.39/1.16 zip_derived_cl76, zip_derived_cl77, zip_derived_cl83])).
% 3.39/1.16 thf(zip_derived_cl91, plain,
% 3.39/1.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.39/1.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 3.39/1.16 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 3.39/1.16 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 3.39/1.16 inference('demod', [status(thm)],
% 3.39/1.16 [zip_derived_cl33, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.16 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64,
% 3.39/1.16 zip_derived_cl66, zip_derived_cl68, zip_derived_cl75,
% 3.39/1.16 zip_derived_cl76, zip_derived_cl77, zip_derived_cl83,
% 3.39/1.16 zip_derived_cl90])).
% 3.39/1.16 thf(zip_derived_cl95, plain,
% 3.39/1.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.39/1.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 3.39/1.16 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.39/1.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 3.39/1.16 inference('demod', [status(thm)],
% 3.39/1.16 [zip_derived_cl29, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.16 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64,
% 3.39/1.16 zip_derived_cl66, zip_derived_cl68, zip_derived_cl75,
% 3.39/1.16 zip_derived_cl76, zip_derived_cl77, zip_derived_cl83,
% 3.39/1.16 zip_derived_cl90, zip_derived_cl91])).
% 3.39/1.16 thf(zip_derived_cl97, plain,
% 3.39/1.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.39/1.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 3.39/1.16 (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.39/1.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)),
% 3.39/1.16 inference('demod', [status(thm)],
% 3.39/1.16 [zip_derived_cl26, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.16 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64,
% 3.39/1.16 zip_derived_cl66, zip_derived_cl68, zip_derived_cl75,
% 3.39/1.16 zip_derived_cl76, zip_derived_cl77, zip_derived_cl83,
% 3.39/1.16 zip_derived_cl90, zip_derived_cl91, zip_derived_cl95])).
% 3.39/1.16 thf(zip_derived_cl106, plain,
% 3.39/1.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.39/1.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 3.39/1.16 X14 : $i]:
% 3.39/1.16 (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.39/1.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)),
% 3.39/1.16 inference('demod', [status(thm)],
% 3.39/1.16 [zip_derived_cl23, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.16 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64,
% 3.39/1.16 zip_derived_cl66, zip_derived_cl68, zip_derived_cl75,
% 3.39/1.16 zip_derived_cl76, zip_derived_cl77, zip_derived_cl83,
% 3.39/1.16 zip_derived_cl90, zip_derived_cl91, zip_derived_cl95,
% 3.39/1.16 zip_derived_cl97])).
% 3.39/1.16 thf(zip_derived_cl117, plain,
% 3.39/1.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.39/1.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 3.39/1.16 X14 : $i, X15 : $i]:
% 3.39/1.16 (ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 3.39/1.16 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15)),
% 3.39/1.16 inference('demod', [status(thm)],
% 3.39/1.16 [zip_derived_cl19, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.16 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64,
% 3.39/1.16 zip_derived_cl66, zip_derived_cl68, zip_derived_cl75,
% 3.39/1.16 zip_derived_cl76, zip_derived_cl77, zip_derived_cl83,
% 3.39/1.16 zip_derived_cl90, zip_derived_cl91, zip_derived_cl95,
% 3.39/1.16 zip_derived_cl97, zip_derived_cl106])).
% 3.39/1.16 thf(zip_derived_cl125, plain,
% 3.39/1.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.39/1.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 3.39/1.16 X14 : $i, X15 : $i, X16 : $i]:
% 3.39/1.16 (ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 3.39/1.16 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @
% 3.39/1.16 X16)),
% 3.39/1.16 inference('demod', [status(thm)],
% 3.39/1.16 [zip_derived_cl16, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.16 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64,
% 3.39/1.16 zip_derived_cl66, zip_derived_cl68, zip_derived_cl75,
% 3.39/1.16 zip_derived_cl76, zip_derived_cl77, zip_derived_cl83,
% 3.39/1.16 zip_derived_cl90, zip_derived_cl91, zip_derived_cl95,
% 3.39/1.16 zip_derived_cl97, zip_derived_cl106, zip_derived_cl117])).
% 3.39/1.16 thf(zip_derived_cl146, plain,
% 3.39/1.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.39/1.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 3.39/1.16 X14 : $i, X15 : $i, X16 : $i, X17 : $i]:
% 3.39/1.16 (ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 3.39/1.16 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @
% 3.39/1.16 X15 @ X16 @ X17)),
% 3.39/1.16 inference('demod', [status(thm)],
% 3.39/1.16 [zip_derived_cl12, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.16 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64,
% 3.39/1.16 zip_derived_cl66, zip_derived_cl68, zip_derived_cl75,
% 3.39/1.16 zip_derived_cl76, zip_derived_cl77, zip_derived_cl83,
% 3.39/1.16 zip_derived_cl90, zip_derived_cl91, zip_derived_cl95,
% 3.39/1.16 zip_derived_cl97, zip_derived_cl106, zip_derived_cl117,
% 3.39/1.16 zip_derived_cl125])).
% 3.39/1.16 thf(zip_derived_cl191, plain,
% 3.39/1.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.39/1.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 3.39/1.16 X14 : $i, X15 : $i, X16 : $i, X17 : $i, X18 : $i]:
% 3.39/1.16 ( (ssPv16_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 3.39/1.16 | (ssPv2_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 3.39/1.16 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @
% 3.39/1.16 X15 @ X16 @ X17 @ X18)
% 3.39/1.16 | ~ (ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 3.39/1.16 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14))),
% 3.39/1.16 inference('demod', [status(thm)],
% 3.39/1.16 [zip_derived_cl5, zip_derived_cl173, zip_derived_cl55,
% 3.39/1.16 zip_derived_cl61, zip_derived_cl62, zip_derived_cl63,
% 3.39/1.16 zip_derived_cl64, zip_derived_cl66, zip_derived_cl68,
% 3.39/1.16 zip_derived_cl75, zip_derived_cl76, zip_derived_cl77,
% 3.39/1.16 zip_derived_cl83, zip_derived_cl90, zip_derived_cl91,
% 3.39/1.16 zip_derived_cl95, zip_derived_cl97, zip_derived_cl106,
% 3.39/1.16 zip_derived_cl117, zip_derived_cl125, zip_derived_cl146])).
% 3.39/1.16 thf(clause53, conjecture,
% 3.39/1.16 (~( ( ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 3.39/1.16 X10 @ X11 ) |
% 3.39/1.16 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 3.39/1.16 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 3.39/1.16 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 3.39/1.16 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 3.39/1.16 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 3.39/1.16 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 3.39/1.16 ( ~( ssPv15_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 3.39/1.16 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 3.39/1.16 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 3.39/1.16 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 3.39/1.16 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 3.39/1.16 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 3.39/1.16 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 3.39/1.16 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 3.39/1.16 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 3.39/1.16 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 3.39/1.16 ( ~( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 3.39/1.16 X9 @ X10 ) ) |
% 3.39/1.16 ( ~( ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 3.39/1.16 X9 @ X10 ) ) |
% 3.39/1.16 ( ~( ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 3.39/1.16 X9 @ X10 @ X11 ) ) |
% 3.39/1.16 ( ~( ssPv2_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 3.39/1.16 X9 @ X10 @ X11 @ X12 @ X13 ) ) |
% 3.39/1.16 ( ~( ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 3.39/1.16 X9 @ X10 @ X11 @ X12 ) ) ))).
% 3.39/1.16 thf(zf_stmt_31, negated_conjecture,
% 3.39/1.16 (( ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 3.39/1.16 X10 @ X11 ) |
% 3.39/1.16 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 3.39/1.16 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 3.39/1.16 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 3.39/1.16 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 3.39/1.16 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 3.39/1.16 ( ~( ssPv15_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 3.39/1.16 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 3.39/1.16 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 3.39/1.16 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 3.39/1.16 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 3.39/1.16 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 3.39/1.16 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 3.39/1.16 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 3.39/1.16 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 3.39/1.16 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 3.39/1.16 ( ~( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 3.39/1.16 X10 ) ) |
% 3.39/1.16 ( ~( ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 3.39/1.16 X10 ) ) |
% 3.39/1.16 ( ~( ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 3.39/1.16 X10 @ X11 ) ) |
% 3.39/1.16 ( ~( ssPv2_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 3.39/1.16 X10 @ X11 @ X12 @ X13 ) ) |
% 3.39/1.16 ( ~( ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 3.39/1.16 X10 @ X11 @ X12 ) )),
% 3.39/1.16 inference('cnf.neg', [status(esa)], [clause53])).
% 3.39/1.16 thf(zip_derived_cl3, plain,
% 3.39/1.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.39/1.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 3.39/1.16 X14 : $i, X15 : $i, X16 : $i, X17 : $i, X18 : $i]:
% 3.39/1.16 ( (ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 3.39/1.16 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @
% 3.39/1.16 X16)
% 3.39/1.16 | ~ (ssNder1_0)
% 3.39/1.16 | ~ (ssNder1_1r1 @ X0)
% 3.39/1.16 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 3.39/1.16 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 3.39/1.16 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 3.39/1.16 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 3.39/1.16 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 3.39/1.16 | ~ (ssPv15_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 3.39/1.16 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 3.39/1.16 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 3.39/1.16 X7)
% 3.39/1.16 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 3.39/1.16 X6 @ X7 @ X8)
% 3.39/1.16 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 3.39/1.16 X6 @ X7 @ X8 @ X9)
% 3.39/1.16 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.39/1.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 3.39/1.16 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.39/1.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 3.39/1.16 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.39/1.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 3.39/1.16 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 3.39/1.16 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 3.39/1.16 | ~ (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 3.39/1.16 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 3.39/1.16 | ~ (ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 3.39/1.16 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 3.39/1.16 X14 @ X15)
% 3.39/1.16 | ~ (ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 3.39/1.16 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15)
% 3.39/1.16 | ~ (ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 3.39/1.16 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 3.39/1.16 X14 @ X15 @ X16)
% 3.39/1.16 | ~ (ssPv2_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 3.39/1.16 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 3.39/1.16 X14 @ X15 @ X16 @ X17 @ X18)
% 3.39/1.16 | ~ (ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 3.39/1.16 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 3.39/1.16 X14 @ X15 @ X16 @ X17))),
% 3.39/1.16 inference('cnf', [status(esa)], [zf_stmt_31])).
% 3.39/1.16 thf(zip_derived_cl55, plain, ( (ssNder1_0)),
% 3.39/1.16 inference('cnf', [status(esa)], [zf_stmt_1])).
% 3.39/1.16 thf(zip_derived_cl61, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 3.39/1.16 inference('demod', [status(thm)], [zip_derived_cl54, zip_derived_cl55])).
% 3.39/1.16 thf(zip_derived_cl62, plain,
% 3.39/1.16 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 3.39/1.16 inference('demod', [status(thm)],
% 3.39/1.16 [zip_derived_cl53, zip_derived_cl55, zip_derived_cl61])).
% 3.39/1.16 thf(zip_derived_cl63, plain,
% 3.39/1.16 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 3.39/1.16 inference('demod', [status(thm)],
% 3.39/1.16 [zip_derived_cl52, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.16 zip_derived_cl62])).
% 3.39/1.16 thf(zip_derived_cl64, plain,
% 3.39/1.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 3.39/1.16 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 3.39/1.16 inference('demod', [status(thm)],
% 3.39/1.16 [zip_derived_cl51, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.16 zip_derived_cl62, zip_derived_cl63])).
% 3.39/1.16 thf(zip_derived_cl66, plain,
% 3.39/1.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 3.39/1.16 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 3.39/1.16 inference('demod', [status(thm)],
% 3.39/1.16 [zip_derived_cl48, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.16 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64])).
% 3.39/1.16 thf(zip_derived_cl68, plain,
% 3.39/1.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 3.39/1.16 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 3.39/1.16 inference('demod', [status(thm)],
% 3.39/1.16 [zip_derived_cl45, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.16 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64,
% 3.39/1.16 zip_derived_cl66])).
% 3.39/1.16 thf(zip_derived_cl75, plain,
% 3.39/1.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 3.39/1.16 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 3.39/1.16 inference('demod', [status(thm)],
% 3.39/1.16 [zip_derived_cl42, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.16 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64,
% 3.39/1.16 zip_derived_cl66, zip_derived_cl68])).
% 3.39/1.16 thf(zip_derived_cl76, plain,
% 3.39/1.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 3.39/1.16 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 3.39/1.16 inference('demod', [status(thm)],
% 3.39/1.16 [zip_derived_cl39, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.16 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64,
% 3.39/1.16 zip_derived_cl66, zip_derived_cl68, zip_derived_cl75])).
% 3.39/1.16 thf(zip_derived_cl77, plain,
% 3.39/1.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.39/1.16 X7 : $i, X8 : $i]:
% 3.39/1.16 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 3.39/1.16 X7 @ X8)),
% 3.39/1.16 inference('demod', [status(thm)],
% 3.39/1.16 [zip_derived_cl38, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.16 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64,
% 3.39/1.16 zip_derived_cl66, zip_derived_cl68, zip_derived_cl75,
% 3.39/1.16 zip_derived_cl76])).
% 3.39/1.16 thf(zip_derived_cl83, plain,
% 3.39/1.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.39/1.16 X7 : $i, X8 : $i, X9 : $i]:
% 3.39/1.16 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 3.39/1.16 X7 @ X8 @ X9)),
% 3.39/1.16 inference('demod', [status(thm)],
% 3.39/1.16 [zip_derived_cl37, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.16 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64,
% 3.39/1.16 zip_derived_cl66, zip_derived_cl68, zip_derived_cl75,
% 3.39/1.16 zip_derived_cl76, zip_derived_cl77])).
% 3.39/1.16 thf(zip_derived_cl90, plain,
% 3.39/1.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.39/1.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 3.39/1.16 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 3.39/1.16 X6 @ X7 @ X8 @ X9 @ X10)),
% 3.39/1.16 inference('demod', [status(thm)],
% 3.39/1.16 [zip_derived_cl35, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.16 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64,
% 3.39/1.16 zip_derived_cl66, zip_derived_cl68, zip_derived_cl75,
% 3.39/1.16 zip_derived_cl76, zip_derived_cl77, zip_derived_cl83])).
% 3.39/1.16 thf(zip_derived_cl91, plain,
% 3.39/1.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.39/1.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 3.39/1.16 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 3.39/1.16 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 3.39/1.16 inference('demod', [status(thm)],
% 3.39/1.16 [zip_derived_cl33, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.16 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64,
% 3.39/1.16 zip_derived_cl66, zip_derived_cl68, zip_derived_cl75,
% 3.39/1.16 zip_derived_cl76, zip_derived_cl77, zip_derived_cl83,
% 3.39/1.16 zip_derived_cl90])).
% 3.39/1.16 thf(zip_derived_cl95, plain,
% 3.39/1.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.39/1.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 3.39/1.16 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.39/1.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 3.39/1.16 inference('demod', [status(thm)],
% 3.39/1.16 [zip_derived_cl29, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.16 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64,
% 3.39/1.16 zip_derived_cl66, zip_derived_cl68, zip_derived_cl75,
% 3.39/1.16 zip_derived_cl76, zip_derived_cl77, zip_derived_cl83,
% 3.39/1.16 zip_derived_cl90, zip_derived_cl91])).
% 3.39/1.16 thf(zip_derived_cl97, plain,
% 3.39/1.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.39/1.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 3.39/1.16 (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.39/1.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)),
% 3.39/1.16 inference('demod', [status(thm)],
% 3.39/1.16 [zip_derived_cl26, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.16 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64,
% 3.39/1.16 zip_derived_cl66, zip_derived_cl68, zip_derived_cl75,
% 3.39/1.16 zip_derived_cl76, zip_derived_cl77, zip_derived_cl83,
% 3.39/1.16 zip_derived_cl90, zip_derived_cl91, zip_derived_cl95])).
% 3.39/1.16 thf(zip_derived_cl106, plain,
% 3.39/1.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.39/1.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 3.39/1.16 X14 : $i]:
% 3.39/1.16 (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.39/1.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)),
% 3.39/1.16 inference('demod', [status(thm)],
% 3.39/1.16 [zip_derived_cl23, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.16 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64,
% 3.39/1.16 zip_derived_cl66, zip_derived_cl68, zip_derived_cl75,
% 3.39/1.16 zip_derived_cl76, zip_derived_cl77, zip_derived_cl83,
% 3.39/1.16 zip_derived_cl90, zip_derived_cl91, zip_derived_cl95,
% 3.39/1.16 zip_derived_cl97])).
% 3.39/1.16 thf(zip_derived_cl117, plain,
% 3.39/1.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.39/1.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 3.39/1.16 X14 : $i, X15 : $i]:
% 3.39/1.16 (ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 3.39/1.16 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15)),
% 3.39/1.16 inference('demod', [status(thm)],
% 3.39/1.16 [zip_derived_cl19, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.16 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64,
% 3.39/1.16 zip_derived_cl66, zip_derived_cl68, zip_derived_cl75,
% 3.39/1.16 zip_derived_cl76, zip_derived_cl77, zip_derived_cl83,
% 3.39/1.16 zip_derived_cl90, zip_derived_cl91, zip_derived_cl95,
% 3.39/1.16 zip_derived_cl97, zip_derived_cl106])).
% 3.39/1.16 thf(zip_derived_cl125, plain,
% 3.39/1.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.39/1.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 3.39/1.16 X14 : $i, X15 : $i, X16 : $i]:
% 3.39/1.16 (ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 3.39/1.16 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @
% 3.39/1.16 X16)),
% 3.39/1.16 inference('demod', [status(thm)],
% 3.39/1.16 [zip_derived_cl16, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.16 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64,
% 3.39/1.16 zip_derived_cl66, zip_derived_cl68, zip_derived_cl75,
% 3.39/1.16 zip_derived_cl76, zip_derived_cl77, zip_derived_cl83,
% 3.39/1.16 zip_derived_cl90, zip_derived_cl91, zip_derived_cl95,
% 3.39/1.16 zip_derived_cl97, zip_derived_cl106, zip_derived_cl117])).
% 3.39/1.16 thf(zip_derived_cl146, plain,
% 3.39/1.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.39/1.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 3.39/1.16 X14 : $i, X15 : $i, X16 : $i, X17 : $i]:
% 3.39/1.16 (ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 3.39/1.16 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @
% 3.39/1.16 X15 @ X16 @ X17)),
% 3.39/1.16 inference('demod', [status(thm)],
% 3.39/1.16 [zip_derived_cl12, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.16 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64,
% 3.39/1.16 zip_derived_cl66, zip_derived_cl68, zip_derived_cl75,
% 3.39/1.16 zip_derived_cl76, zip_derived_cl77, zip_derived_cl83,
% 3.39/1.16 zip_derived_cl90, zip_derived_cl91, zip_derived_cl95,
% 3.39/1.16 zip_derived_cl97, zip_derived_cl106, zip_derived_cl117,
% 3.39/1.16 zip_derived_cl125])).
% 3.39/1.16 thf(zip_derived_cl192, plain,
% 3.39/1.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.39/1.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 3.39/1.16 X14 : $i, X15 : $i, X16 : $i, X17 : $i, X18 : $i]:
% 3.39/1.16 ( (ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 3.39/1.16 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @
% 3.39/1.16 X16)
% 3.39/1.16 | ~ (ssPv15_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 3.39/1.16 | ~ (ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 3.39/1.16 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15)
% 3.39/1.16 | ~ (ssPv2_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 3.39/1.16 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 3.39/1.16 X14 @ X15 @ X16 @ X17 @ X18))),
% 3.39/1.16 inference('demod', [status(thm)],
% 3.39/1.16 [zip_derived_cl3, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.16 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64,
% 3.39/1.16 zip_derived_cl66, zip_derived_cl68, zip_derived_cl75,
% 3.39/1.16 zip_derived_cl76, zip_derived_cl77, zip_derived_cl83,
% 3.39/1.16 zip_derived_cl90, zip_derived_cl91, zip_derived_cl95,
% 3.39/1.16 zip_derived_cl97, zip_derived_cl106, zip_derived_cl117,
% 3.39/1.16 zip_derived_cl125, zip_derived_cl146])).
% 3.39/1.16 thf(zip_derived_cl193, plain,
% 3.39/1.16 (![X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i, X8 : $i,
% 3.39/1.16 X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i, X14 : $i, X15 : $i,
% 3.39/1.16 X16 : $i, X17 : $i, X18 : $i]:
% 3.39/1.16 (~ (ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X18 @ X17 @ X16 @ X15 @
% 3.39/1.16 X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4)
% 3.39/1.16 | (ssPv16_5r1r1r1r1r1 @ X18 @ X17 @ X16 @ X15 @ X14)
% 3.39/1.16 | ~ (ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X18 @ X17 @ X16 @
% 3.39/1.16 X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @
% 3.39/1.16 X4 @ X3)
% 3.39/1.16 | ~ (ssPv15_6r1r1r1r1r1r1 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13)
% 3.39/1.16 | (ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X18 @ X17 @ X16 @
% 3.39/1.16 X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @
% 3.39/1.16 X4 @ X3 @ X2))),
% 3.39/1.16 inference('sup-', [status(thm)], [zip_derived_cl191, zip_derived_cl192])).
% 3.39/1.16 thf(clause46, conjecture,
% 3.39/1.16 (~( ( ssPv19_2r1r1 @ U @ V ) |
% 3.39/1.16 ( ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) |
% 3.39/1.16 ( ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) |
% 3.39/1.16 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 3.39/1.16 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 3.39/1.16 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 3.39/1.16 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 3.39/1.16 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 3.39/1.16 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 3.39/1.16 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 3.39/1.16 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 3.39/1.16 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 3.39/1.16 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 3.39/1.16 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 3.39/1.16 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 3.39/1.16 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 3.39/1.16 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 3.39/1.16 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 3.39/1.16 ( ~( ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 3.39/1.16 X9 @ X10 @ X11 ) ) |
% 3.39/1.16 ( ~( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 3.39/1.16 X9 @ X10 ) ) ))).
% 3.39/1.16 thf(zf_stmt_32, negated_conjecture,
% 3.39/1.16 (( ssPv19_2r1r1 @ U @ V ) |
% 3.39/1.16 ( ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) |
% 3.39/1.16 ( ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) |
% 3.39/1.16 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 3.39/1.16 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 3.39/1.16 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 3.39/1.16 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 3.39/1.16 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 3.39/1.16 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 3.39/1.16 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 3.39/1.16 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 3.39/1.16 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 3.39/1.16 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 3.39/1.16 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 3.39/1.16 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 3.39/1.16 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 3.39/1.16 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 3.39/1.16 ( ~( ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 3.39/1.16 X10 @ X11 ) ) |
% 3.39/1.16 ( ~( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 3.39/1.16 X10 ) )),
% 3.39/1.16 inference('cnf.neg', [status(esa)], [clause46])).
% 3.39/1.16 thf(zip_derived_cl10, plain,
% 3.39/1.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.39/1.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 3.39/1.16 X14 : $i, X15 : $i, X16 : $i]:
% 3.39/1.16 ( (ssPv19_2r1r1 @ X0 @ X1)
% 3.39/1.16 | (ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.39/1.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 3.39/1.16 | (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.39/1.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 3.39/1.16 | ~ (ssNder1_0)
% 3.39/1.16 | ~ (ssNder1_1r1 @ X0)
% 3.39/1.16 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 3.39/1.16 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 3.39/1.16 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 3.39/1.16 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 3.39/1.16 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 3.39/1.16 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 3.39/1.16 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 3.39/1.16 X7)
% 3.39/1.16 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 3.39/1.16 X6 @ X7 @ X8)
% 3.39/1.16 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 3.39/1.16 X6 @ X7 @ X8 @ X9)
% 3.39/1.16 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.39/1.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 3.39/1.16 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.39/1.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 3.39/1.16 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.39/1.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 3.39/1.16 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 3.39/1.16 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 3.39/1.16 | ~ (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 3.39/1.16 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 3.39/1.16 | ~ (ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 3.39/1.16 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 3.39/1.16 X14 @ X15 @ X16)
% 3.39/1.16 | ~ (ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 3.39/1.16 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 3.39/1.16 X14 @ X15))),
% 3.39/1.16 inference('cnf', [status(esa)], [zf_stmt_32])).
% 3.39/1.16 thf(zip_derived_cl55, plain, ( (ssNder1_0)),
% 3.39/1.16 inference('cnf', [status(esa)], [zf_stmt_1])).
% 3.39/1.16 thf(zip_derived_cl61, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 3.39/1.16 inference('demod', [status(thm)], [zip_derived_cl54, zip_derived_cl55])).
% 3.39/1.16 thf(zip_derived_cl62, plain,
% 3.39/1.16 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 3.39/1.16 inference('demod', [status(thm)],
% 3.39/1.16 [zip_derived_cl53, zip_derived_cl55, zip_derived_cl61])).
% 3.39/1.16 thf(zip_derived_cl63, plain,
% 3.39/1.16 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 3.39/1.16 inference('demod', [status(thm)],
% 3.39/1.16 [zip_derived_cl52, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.16 zip_derived_cl62])).
% 3.39/1.16 thf(zip_derived_cl64, plain,
% 3.39/1.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 3.39/1.16 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 3.39/1.16 inference('demod', [status(thm)],
% 3.39/1.16 [zip_derived_cl51, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.16 zip_derived_cl62, zip_derived_cl63])).
% 3.39/1.16 thf(zip_derived_cl66, plain,
% 3.39/1.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 3.39/1.16 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 3.39/1.16 inference('demod', [status(thm)],
% 3.39/1.16 [zip_derived_cl48, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.16 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64])).
% 3.39/1.16 thf(zip_derived_cl68, plain,
% 3.39/1.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 3.39/1.16 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 3.39/1.16 inference('demod', [status(thm)],
% 3.39/1.16 [zip_derived_cl45, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.16 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64,
% 3.39/1.16 zip_derived_cl66])).
% 3.39/1.16 thf(zip_derived_cl75, plain,
% 3.39/1.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 3.39/1.16 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 3.39/1.16 inference('demod', [status(thm)],
% 3.39/1.16 [zip_derived_cl42, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.16 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64,
% 3.39/1.16 zip_derived_cl66, zip_derived_cl68])).
% 3.39/1.16 thf(zip_derived_cl76, plain,
% 3.39/1.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 3.39/1.16 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 3.39/1.16 inference('demod', [status(thm)],
% 3.39/1.16 [zip_derived_cl39, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.16 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64,
% 3.39/1.16 zip_derived_cl66, zip_derived_cl68, zip_derived_cl75])).
% 3.39/1.16 thf(zip_derived_cl77, plain,
% 3.39/1.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.39/1.16 X7 : $i, X8 : $i]:
% 3.39/1.16 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 3.39/1.16 X7 @ X8)),
% 3.39/1.16 inference('demod', [status(thm)],
% 3.39/1.16 [zip_derived_cl38, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.16 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64,
% 3.39/1.16 zip_derived_cl66, zip_derived_cl68, zip_derived_cl75,
% 3.39/1.16 zip_derived_cl76])).
% 3.39/1.16 thf(zip_derived_cl83, plain,
% 3.39/1.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.39/1.16 X7 : $i, X8 : $i, X9 : $i]:
% 3.39/1.16 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 3.39/1.16 X7 @ X8 @ X9)),
% 3.39/1.16 inference('demod', [status(thm)],
% 3.39/1.16 [zip_derived_cl37, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.16 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64,
% 3.39/1.16 zip_derived_cl66, zip_derived_cl68, zip_derived_cl75,
% 3.39/1.16 zip_derived_cl76, zip_derived_cl77])).
% 3.39/1.16 thf(zip_derived_cl90, plain,
% 3.39/1.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.39/1.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 3.39/1.16 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 3.39/1.16 X6 @ X7 @ X8 @ X9 @ X10)),
% 3.39/1.16 inference('demod', [status(thm)],
% 3.39/1.16 [zip_derived_cl35, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.16 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64,
% 3.39/1.16 zip_derived_cl66, zip_derived_cl68, zip_derived_cl75,
% 3.39/1.16 zip_derived_cl76, zip_derived_cl77, zip_derived_cl83])).
% 3.39/1.16 thf(zip_derived_cl91, plain,
% 3.39/1.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.39/1.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 3.39/1.16 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 3.39/1.16 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 3.39/1.16 inference('demod', [status(thm)],
% 3.39/1.16 [zip_derived_cl33, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.16 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64,
% 3.39/1.16 zip_derived_cl66, zip_derived_cl68, zip_derived_cl75,
% 3.39/1.16 zip_derived_cl76, zip_derived_cl77, zip_derived_cl83,
% 3.39/1.16 zip_derived_cl90])).
% 3.39/1.16 thf(zip_derived_cl95, plain,
% 3.39/1.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.39/1.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 3.39/1.16 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.39/1.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 3.39/1.16 inference('demod', [status(thm)],
% 3.39/1.16 [zip_derived_cl29, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.16 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64,
% 3.39/1.16 zip_derived_cl66, zip_derived_cl68, zip_derived_cl75,
% 3.39/1.16 zip_derived_cl76, zip_derived_cl77, zip_derived_cl83,
% 3.39/1.16 zip_derived_cl90, zip_derived_cl91])).
% 3.39/1.16 thf(zip_derived_cl97, plain,
% 3.39/1.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.39/1.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 3.39/1.16 (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.39/1.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)),
% 3.39/1.16 inference('demod', [status(thm)],
% 3.39/1.16 [zip_derived_cl26, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.16 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64,
% 3.39/1.16 zip_derived_cl66, zip_derived_cl68, zip_derived_cl75,
% 3.39/1.16 zip_derived_cl76, zip_derived_cl77, zip_derived_cl83,
% 3.39/1.16 zip_derived_cl90, zip_derived_cl91, zip_derived_cl95])).
% 3.39/1.16 thf(zip_derived_cl106, plain,
% 3.39/1.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.39/1.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 3.39/1.16 X14 : $i]:
% 3.39/1.16 (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.39/1.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)),
% 3.39/1.16 inference('demod', [status(thm)],
% 3.39/1.16 [zip_derived_cl23, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.16 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64,
% 3.39/1.16 zip_derived_cl66, zip_derived_cl68, zip_derived_cl75,
% 3.39/1.16 zip_derived_cl76, zip_derived_cl77, zip_derived_cl83,
% 3.39/1.16 zip_derived_cl90, zip_derived_cl91, zip_derived_cl95,
% 3.39/1.16 zip_derived_cl97])).
% 3.39/1.16 thf(zip_derived_cl117, plain,
% 3.39/1.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.39/1.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 3.39/1.16 X14 : $i, X15 : $i]:
% 3.39/1.16 (ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 3.39/1.16 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15)),
% 3.39/1.16 inference('demod', [status(thm)],
% 3.39/1.16 [zip_derived_cl19, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.16 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64,
% 3.39/1.16 zip_derived_cl66, zip_derived_cl68, zip_derived_cl75,
% 3.39/1.16 zip_derived_cl76, zip_derived_cl77, zip_derived_cl83,
% 3.39/1.16 zip_derived_cl90, zip_derived_cl91, zip_derived_cl95,
% 3.39/1.16 zip_derived_cl97, zip_derived_cl106])).
% 3.39/1.16 thf(zip_derived_cl152, plain,
% 3.39/1.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.39/1.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 3.39/1.16 X14 : $i, X15 : $i, X16 : $i]:
% 3.39/1.16 ( (ssPv19_2r1r1 @ X0 @ X1)
% 3.39/1.16 | (ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.39/1.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 3.39/1.16 | (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.39/1.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 3.39/1.16 | ~ (ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 3.39/1.16 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 3.39/1.16 X14 @ X15 @ X16))),
% 3.39/1.16 inference('demod', [status(thm)],
% 3.39/1.16 [zip_derived_cl10, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.16 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64,
% 3.39/1.16 zip_derived_cl66, zip_derived_cl68, zip_derived_cl75,
% 3.39/1.16 zip_derived_cl76, zip_derived_cl77, zip_derived_cl83,
% 3.39/1.16 zip_derived_cl90, zip_derived_cl91, zip_derived_cl95,
% 3.39/1.16 zip_derived_cl97, zip_derived_cl106, zip_derived_cl117])).
% 3.39/1.16 thf(zip_derived_cl173, plain,
% 3.39/1.16 (![X3 : $i, X4 : $i]: ~ (ssPv19_2r1r1 @ X4 @ X3)),
% 3.39/1.16 inference('sup-', [status(thm)], [zip_derived_cl67, zip_derived_cl172])).
% 3.39/1.16 thf(zip_derived_cl175, plain,
% 3.39/1.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.39/1.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 3.39/1.16 X14 : $i, X15 : $i, X16 : $i]:
% 3.39/1.16 ( (ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 3.39/1.16 X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 3.39/1.16 | (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.39/1.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 3.39/1.16 | ~ (ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 3.39/1.16 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 3.39/1.16 X14 @ X15 @ X16))),
% 3.39/1.16 inference('demod', [status(thm)], [zip_derived_cl152, zip_derived_cl173])).
% 3.39/1.16 thf(zip_derived_cl194, plain,
% 3.39/1.16 (![X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i,
% 3.39/1.16 X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i, X14 : $i,
% 3.39/1.16 X15 : $i, X16 : $i]:
% 3.39/1.16 (~ (ssPv15_6r1r1r1r1r1r1 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11)
% 3.39/1.16 | ~ (ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X16 @ X15 @ X14 @
% 3.39/1.16 X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @
% 3.39/1.16 X1)
% 3.39/1.16 | (ssPv16_5r1r1r1r1r1 @ X16 @ X15 @ X14 @ X13 @ X12)
% 3.39/1.16 | ~ (ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X16 @ X15 @ X14 @
% 3.39/1.16 X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2)
% 3.39/1.16 | (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X16 @ X15 @ X14 @ X13 @
% 3.39/1.16 X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3)
% 3.39/1.16 | (ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X16 @ X15 @ X14 @ X13 @
% 3.39/1.16 X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4))),
% 3.39/1.16 inference('sup-', [status(thm)], [zip_derived_cl193, zip_derived_cl175])).
% 3.39/1.16 thf(zip_derived_cl195, plain,
% 3.39/1.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.39/1.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 3.39/1.16 X14 : $i]:
% 3.39/1.16 ( (ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X14 @ X13 @ X12 @ X11 @ X10 @
% 3.39/1.16 X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2)
% 3.39/1.16 | (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X14 @ X13 @ X12 @ X11 @
% 3.39/1.16 X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1)
% 3.39/1.16 | ~ (ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X14 @ X13 @ X12 @
% 3.39/1.16 X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 3.39/1.16 | (ssPv16_5r1r1r1r1r1 @ X14 @ X13 @ X12 @ X11 @ X10)
% 3.39/1.16 | ~ (ssPv15_6r1r1r1r1r1r1 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9))),
% 3.39/1.16 inference('sup-', [status(thm)], [zip_derived_cl105, zip_derived_cl194])).
% 3.39/1.16 thf(zip_derived_cl196, plain,
% 3.39/1.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.39/1.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 3.39/1.16 (~ (ssPv15_6r1r1r1r1r1r1 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8)
% 3.39/1.16 | (ssPv16_5r1r1r1r1r1 @ X13 @ X12 @ X11 @ X10 @ X9)
% 3.39/1.16 | (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X13 @ X12 @ X11 @ X10 @
% 3.39/1.16 X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 3.39/1.16 | (ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X13 @ X12 @ X11 @ X10 @
% 3.39/1.16 X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1))),
% 3.39/1.16 inference('sup-', [status(thm)], [zip_derived_cl104, zip_derived_cl195])).
% 3.39/1.16 thf(clause29, conjecture,
% 3.39/1.16 (~( ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 3.39/1.16 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 3.39/1.16 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 3.39/1.16 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 3.39/1.16 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 3.39/1.16 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 3.39/1.16 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 3.39/1.16 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 3.39/1.16 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 3.39/1.16 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 3.39/1.16 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 3.39/1.16 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 3.39/1.16 ( ~( ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ skc21 ) ) ))).
% 3.39/1.16 thf(zf_stmt_33, negated_conjecture,
% 3.39/1.16 (( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 3.39/1.16 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 3.39/1.16 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 3.39/1.16 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 3.39/1.16 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 3.39/1.16 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 3.39/1.16 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 3.39/1.16 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 3.39/1.16 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 3.39/1.16 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 3.39/1.16 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 3.39/1.16 ( ~( ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ skc21 ) )),
% 3.39/1.16 inference('cnf.neg', [status(esa)], [clause29])).
% 3.39/1.16 thf(zip_derived_cl27, plain,
% 3.39/1.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.39/1.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 3.39/1.16 (~ (ssNder1_0)
% 3.39/1.16 | ~ (ssNder1_1r1 @ X0)
% 3.39/1.16 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 3.39/1.16 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 3.39/1.16 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 3.39/1.16 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 3.39/1.16 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 3.39/1.16 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 3.39/1.16 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 3.39/1.16 X7)
% 3.39/1.16 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 3.39/1.16 X6 @ X7 @ X8)
% 3.39/1.16 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 3.39/1.16 X6 @ X7 @ X8 @ X9)
% 3.39/1.16 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.39/1.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 3.39/1.16 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.39/1.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 3.39/1.16 | ~ (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.39/1.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ skc21))),
% 3.39/1.16 inference('cnf', [status(esa)], [zf_stmt_33])).
% 3.39/1.16 thf(zip_derived_cl55, plain, ( (ssNder1_0)),
% 3.39/1.16 inference('cnf', [status(esa)], [zf_stmt_1])).
% 3.39/1.16 thf(zip_derived_cl61, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 3.39/1.16 inference('demod', [status(thm)], [zip_derived_cl54, zip_derived_cl55])).
% 3.39/1.16 thf(zip_derived_cl62, plain,
% 3.39/1.16 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 3.39/1.16 inference('demod', [status(thm)],
% 3.39/1.16 [zip_derived_cl53, zip_derived_cl55, zip_derived_cl61])).
% 3.39/1.16 thf(zip_derived_cl63, plain,
% 3.39/1.16 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 3.39/1.16 inference('demod', [status(thm)],
% 3.39/1.16 [zip_derived_cl52, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.16 zip_derived_cl62])).
% 3.39/1.16 thf(zip_derived_cl64, plain,
% 3.39/1.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 3.39/1.16 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 3.39/1.16 inference('demod', [status(thm)],
% 3.39/1.16 [zip_derived_cl51, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.16 zip_derived_cl62, zip_derived_cl63])).
% 3.39/1.16 thf(zip_derived_cl66, plain,
% 3.39/1.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 3.39/1.16 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 3.39/1.16 inference('demod', [status(thm)],
% 3.39/1.16 [zip_derived_cl48, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.16 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64])).
% 3.39/1.16 thf(zip_derived_cl68, plain,
% 3.39/1.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 3.39/1.16 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 3.39/1.16 inference('demod', [status(thm)],
% 3.39/1.16 [zip_derived_cl45, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.16 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64,
% 3.39/1.16 zip_derived_cl66])).
% 3.39/1.16 thf(zip_derived_cl75, plain,
% 3.39/1.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 3.39/1.16 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 3.39/1.16 inference('demod', [status(thm)],
% 3.39/1.16 [zip_derived_cl42, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.16 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64,
% 3.39/1.16 zip_derived_cl66, zip_derived_cl68])).
% 3.39/1.16 thf(zip_derived_cl76, plain,
% 3.39/1.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 3.39/1.16 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 3.39/1.16 inference('demod', [status(thm)],
% 3.39/1.16 [zip_derived_cl39, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.16 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64,
% 3.39/1.16 zip_derived_cl66, zip_derived_cl68, zip_derived_cl75])).
% 3.39/1.16 thf(zip_derived_cl77, plain,
% 3.39/1.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.39/1.16 X7 : $i, X8 : $i]:
% 3.39/1.16 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 3.39/1.16 X7 @ X8)),
% 3.39/1.16 inference('demod', [status(thm)],
% 3.39/1.16 [zip_derived_cl38, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.16 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64,
% 3.39/1.16 zip_derived_cl66, zip_derived_cl68, zip_derived_cl75,
% 3.39/1.16 zip_derived_cl76])).
% 3.39/1.16 thf(zip_derived_cl79, plain,
% 3.39/1.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.39/1.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 3.39/1.16 (~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 3.39/1.16 X6 @ X7 @ X8 @ X9)
% 3.39/1.16 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.39/1.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 3.39/1.16 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.39/1.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 3.39/1.16 | ~ (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.39/1.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ skc21))),
% 3.39/1.16 inference('demod', [status(thm)],
% 3.39/1.16 [zip_derived_cl27, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.16 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64,
% 3.39/1.16 zip_derived_cl66, zip_derived_cl68, zip_derived_cl75,
% 3.39/1.16 zip_derived_cl76, zip_derived_cl77])).
% 3.39/1.16 thf(zip_derived_cl83, plain,
% 3.39/1.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.39/1.16 X7 : $i, X8 : $i, X9 : $i]:
% 3.39/1.16 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 3.39/1.16 X7 @ X8 @ X9)),
% 3.39/1.16 inference('demod', [status(thm)],
% 3.39/1.16 [zip_derived_cl37, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.16 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64,
% 3.39/1.16 zip_derived_cl66, zip_derived_cl68, zip_derived_cl75,
% 3.39/1.16 zip_derived_cl76, zip_derived_cl77])).
% 3.39/1.16 thf(zip_derived_cl85, plain,
% 3.39/1.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.39/1.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 3.39/1.16 (~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 3.39/1.16 X6 @ X7 @ X8 @ X9 @ X10)
% 3.39/1.16 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.39/1.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 3.39/1.16 | ~ (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.39/1.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ skc21))),
% 3.39/1.16 inference('demod', [status(thm)], [zip_derived_cl79, zip_derived_cl83])).
% 3.39/1.16 thf(zip_derived_cl90, plain,
% 3.39/1.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.39/1.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 3.39/1.16 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 3.39/1.16 X6 @ X7 @ X8 @ X9 @ X10)),
% 3.39/1.16 inference('demod', [status(thm)],
% 3.39/1.16 [zip_derived_cl35, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.16 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64,
% 3.39/1.16 zip_derived_cl66, zip_derived_cl68, zip_derived_cl75,
% 3.39/1.16 zip_derived_cl76, zip_derived_cl77, zip_derived_cl83])).
% 3.39/1.16 thf(zip_derived_cl91, plain,
% 3.39/1.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.39/1.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 3.39/1.16 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 3.39/1.16 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 3.39/1.16 inference('demod', [status(thm)],
% 3.39/1.16 [zip_derived_cl33, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.16 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64,
% 3.39/1.16 zip_derived_cl66, zip_derived_cl68, zip_derived_cl75,
% 3.39/1.16 zip_derived_cl76, zip_derived_cl77, zip_derived_cl83,
% 3.39/1.16 zip_derived_cl90])).
% 3.39/1.16 thf(zip_derived_cl99, plain,
% 3.39/1.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.39/1.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 3.39/1.16 ~ (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.39/1.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ skc21)),
% 3.39/1.16 inference('demod', [status(thm)],
% 3.39/1.16 [zip_derived_cl85, zip_derived_cl90, zip_derived_cl91])).
% 3.39/1.16 thf(zip_derived_cl197, plain,
% 3.39/1.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.39/1.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 3.39/1.16 ( (ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X12 @ X11 @ X10 @ X9 @ X8 @
% 3.39/1.16 X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 3.39/1.16 | (ssPv16_5r1r1r1r1r1 @ X12 @ X11 @ X10 @ X9 @ X8)
% 3.39/1.16 | ~ (ssPv15_6r1r1r1r1r1r1 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7))),
% 3.39/1.16 inference('sup-', [status(thm)], [zip_derived_cl196, zip_derived_cl99])).
% 3.39/1.16 thf(clause25, conjecture,
% 3.39/1.16 (~( ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 3.39/1.16 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 3.39/1.16 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 3.39/1.16 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 3.39/1.16 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 3.39/1.16 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 3.39/1.16 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 3.39/1.16 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 3.39/1.16 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 3.39/1.16 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 3.39/1.16 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 3.39/1.16 ( ~( ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ skc23 ) ) ))).
% 3.39/1.16 thf(zf_stmt_34, negated_conjecture,
% 3.39/1.16 (( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 3.39/1.16 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 3.39/1.16 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 3.39/1.16 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 3.39/1.16 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 3.39/1.16 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 3.39/1.16 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 3.39/1.16 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 3.39/1.16 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 3.39/1.16 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 3.39/1.16 ( ~( ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.39/1.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ skc23 ) )),
% 3.39/1.16 inference('cnf.neg', [status(esa)], [clause25])).
% 3.39/1.16 thf(zip_derived_cl31, plain,
% 3.39/1.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.39/1.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 3.39/1.16 (~ (ssNder1_0)
% 3.39/1.16 | ~ (ssNder1_1r1 @ X0)
% 3.39/1.16 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 3.39/1.16 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 3.39/1.16 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 3.39/1.16 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 3.39/1.16 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 3.39/1.16 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 3.39/1.16 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 3.39/1.16 X7)
% 3.39/1.16 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 3.39/1.16 X6 @ X7 @ X8)
% 3.39/1.16 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 3.39/1.16 X6 @ X7 @ X8 @ X9)
% 3.39/1.16 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.39/1.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 3.39/1.16 | ~ (ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.39/1.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ skc23))),
% 3.39/1.16 inference('cnf', [status(esa)], [zf_stmt_34])).
% 3.39/1.16 thf(zip_derived_cl55, plain, ( (ssNder1_0)),
% 3.39/1.16 inference('cnf', [status(esa)], [zf_stmt_1])).
% 3.39/1.16 thf(zip_derived_cl56, plain,
% 3.39/1.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.39/1.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 3.39/1.16 (~ (ssNder1_1r1 @ X0)
% 3.39/1.16 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 3.39/1.16 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 3.39/1.16 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 3.39/1.16 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 3.39/1.16 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 3.39/1.16 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 3.39/1.16 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 3.39/1.16 X7)
% 3.39/1.16 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 3.39/1.16 X6 @ X7 @ X8)
% 3.39/1.16 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 3.39/1.16 X6 @ X7 @ X8 @ X9)
% 3.39/1.16 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.39/1.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 3.39/1.16 | ~ (ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.39/1.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ skc23))),
% 3.39/1.16 inference('demod', [status(thm)], [zip_derived_cl31, zip_derived_cl55])).
% 3.39/1.16 thf(zip_derived_cl61, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 3.39/1.16 inference('demod', [status(thm)], [zip_derived_cl54, zip_derived_cl55])).
% 3.39/1.16 thf(zip_derived_cl62, plain,
% 3.39/1.16 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 3.39/1.16 inference('demod', [status(thm)],
% 3.39/1.16 [zip_derived_cl53, zip_derived_cl55, zip_derived_cl61])).
% 3.39/1.16 thf(zip_derived_cl63, plain,
% 3.39/1.16 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 3.39/1.16 inference('demod', [status(thm)],
% 3.39/1.16 [zip_derived_cl52, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.16 zip_derived_cl62])).
% 3.39/1.16 thf(zip_derived_cl64, plain,
% 3.39/1.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 3.39/1.16 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 3.39/1.16 inference('demod', [status(thm)],
% 3.39/1.16 [zip_derived_cl51, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.16 zip_derived_cl62, zip_derived_cl63])).
% 3.39/1.16 thf(zip_derived_cl66, plain,
% 3.39/1.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 3.39/1.16 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 3.39/1.16 inference('demod', [status(thm)],
% 3.39/1.16 [zip_derived_cl48, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.16 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64])).
% 3.39/1.16 thf(zip_derived_cl68, plain,
% 3.39/1.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 3.39/1.16 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 3.39/1.16 inference('demod', [status(thm)],
% 3.39/1.16 [zip_derived_cl45, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.16 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64,
% 3.39/1.16 zip_derived_cl66])).
% 3.39/1.16 thf(zip_derived_cl75, plain,
% 3.39/1.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 3.39/1.16 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 3.39/1.16 inference('demod', [status(thm)],
% 3.39/1.16 [zip_derived_cl42, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.16 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64,
% 3.39/1.16 zip_derived_cl66, zip_derived_cl68])).
% 3.39/1.16 thf(zip_derived_cl76, plain,
% 3.39/1.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 3.39/1.16 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 3.39/1.16 inference('demod', [status(thm)],
% 3.39/1.16 [zip_derived_cl39, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.16 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64,
% 3.39/1.16 zip_derived_cl66, zip_derived_cl68, zip_derived_cl75])).
% 3.39/1.16 thf(zip_derived_cl77, plain,
% 3.39/1.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.39/1.16 X7 : $i, X8 : $i]:
% 3.39/1.16 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 3.39/1.16 X7 @ X8)),
% 3.39/1.16 inference('demod', [status(thm)],
% 3.39/1.16 [zip_derived_cl38, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.16 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64,
% 3.39/1.16 zip_derived_cl66, zip_derived_cl68, zip_derived_cl75,
% 3.39/1.16 zip_derived_cl76])).
% 3.39/1.16 thf(zip_derived_cl78, plain,
% 3.39/1.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.39/1.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 3.39/1.16 (~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 3.39/1.16 X6 @ X7 @ X8 @ X9)
% 3.39/1.16 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.39/1.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 3.39/1.16 | ~ (ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.39/1.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ skc23))),
% 3.39/1.16 inference('demod', [status(thm)],
% 3.39/1.16 [zip_derived_cl56, zip_derived_cl61, zip_derived_cl62,
% 3.39/1.16 zip_derived_cl63, zip_derived_cl64, zip_derived_cl66,
% 3.39/1.16 zip_derived_cl68, zip_derived_cl75, zip_derived_cl76,
% 3.39/1.16 zip_derived_cl77])).
% 3.39/1.16 thf(zip_derived_cl83, plain,
% 3.39/1.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.39/1.16 X7 : $i, X8 : $i, X9 : $i]:
% 3.39/1.16 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 3.39/1.16 X7 @ X8 @ X9)),
% 3.39/1.16 inference('demod', [status(thm)],
% 3.39/1.16 [zip_derived_cl37, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.16 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64,
% 3.39/1.16 zip_derived_cl66, zip_derived_cl68, zip_derived_cl75,
% 3.39/1.16 zip_derived_cl76, zip_derived_cl77])).
% 3.39/1.16 thf(zip_derived_cl84, plain,
% 3.39/1.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.39/1.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 3.39/1.16 (~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 3.39/1.16 X6 @ X7 @ X8 @ X9 @ X10)
% 3.39/1.16 | ~ (ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.39/1.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ skc23))),
% 3.39/1.16 inference('demod', [status(thm)], [zip_derived_cl78, zip_derived_cl83])).
% 3.39/1.16 thf(zip_derived_cl90, plain,
% 3.39/1.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.39/1.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 3.39/1.16 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 3.39/1.16 X6 @ X7 @ X8 @ X9 @ X10)),
% 3.39/1.16 inference('demod', [status(thm)],
% 3.39/1.16 [zip_derived_cl35, zip_derived_cl55, zip_derived_cl61,
% 3.39/1.16 zip_derived_cl62, zip_derived_cl63, zip_derived_cl64,
% 3.39/1.16 zip_derived_cl66, zip_derived_cl68, zip_derived_cl75,
% 3.39/1.16 zip_derived_cl76, zip_derived_cl77, zip_derived_cl83])).
% 3.39/1.16 thf(zip_derived_cl98, plain,
% 3.39/1.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.39/1.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 3.39/1.16 ~ (ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 3.39/1.16 X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ skc23)),
% 3.39/1.16 inference('demod', [status(thm)], [zip_derived_cl84, zip_derived_cl90])).
% 3.39/1.16 thf(zip_derived_cl198, plain,
% 3.39/1.16 (![X6 : $i, X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 3.39/1.16 (~ (ssPv15_6r1r1r1r1r1r1 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6)
% 3.39/1.16 | (ssPv16_5r1r1r1r1r1 @ X11 @ X10 @ X9 @ X8 @ X7))),
% 3.39/1.16 inference('sup-', [status(thm)], [zip_derived_cl197, zip_derived_cl98])).
% 3.39/1.16 thf(zip_derived_cl199, plain,
% 3.39/1.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 3.39/1.16 (ssPv16_5r1r1r1r1r1 @ X4 @ X3 @ X2 @ X1 @ X0)),
% 3.39/1.16 inference('sup-', [status(thm)], [zip_derived_cl67, zip_derived_cl198])).
% 3.39/1.16 thf(zip_derived_cl200, plain, ($false),
% 3.39/1.16 inference('demod', [status(thm)], [zip_derived_cl69, zip_derived_cl199])).
% 3.39/1.16
% 3.39/1.16 % SZS output end Refutation
% 3.39/1.16
% 3.39/1.16
% 3.39/1.16 % Terminating...
% 3.95/1.28 % Runner terminated.
% 3.95/1.28 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------