%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYN833-1 : 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.i01ugax7wT true
% Computer : n023.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 05:05:47 PM UTC 2025
% Result : Unsatisfiable 10.32s 2.51s
% Output : Refutation 10.32s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.14 % Problem : SYN833-1 : TPTP v9.2.0. Released v2.5.0.
% 0.03/0.15 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.i01ugax7wT true
% 0.14/0.36 % Computer : n023.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.37 % CPULimit : 300
% 0.14/0.37 % WCLimit : 300
% 0.14/0.37 % DateTime : Wed Oct 1 13:42:23 EDT 2025
% 0.14/0.37 % CPUTime :
% 0.14/0.37 % Running portfolio for 300 s
% 0.14/0.37 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.37 % Number of cores: 8
% 0.14/0.37 % Python version: Python 3.6.8
% 0.14/0.37 % Running in FO mode
% 0.55/0.68 % Total configuration time : 435
% 0.55/0.68 % Estimated wc time : 1092
% 0.55/0.68 % Estimated cpu time (7 cpus) : 156.0
% 0.57/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.57/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.57/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.57/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.57/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.57/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.57/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 10.32/2.51 % Solved by fo/fo7.sh.
% 10.32/2.51 % done 896 iterations in 1.592s
% 10.32/2.51 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 10.32/2.51 % SZS output start Refutation
% 10.32/2.51 thf(ssNder1_5r1r1r1r1r1_type, type, ssNder1_5r1r1r1r1r1: $i > $i > $i > $i >
% 10.32/2.51 $i > $o).
% 10.32/2.51 thf(ssPv6_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssPv6_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 10.32/2.51 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i >
% 10.32/2.51 $i > $i > $i > $i > $o).
% 10.32/2.51 thf(ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 10.32/2.51 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 10.32/2.51 thf(ssNder1_1r1_type, type, ssNder1_1r1: $i > $o).
% 10.32/2.51 thf(ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 10.32/2.51 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 10.32/2.51 thf(ssPv9_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssPv9_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 10.32/2.51 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 10.32/2.51 thf(skc16_type, type, skc16: $i).
% 10.32/2.51 thf(ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 10.32/2.51 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 10.32/2.51 thf(ssPv19_2r1r1_type, type, ssPv19_2r1r1: $i > $i > $o).
% 10.32/2.51 thf(skc19_type, type, skc19: $i).
% 10.32/2.51 thf(ssPv16_8r1r1r1r1r1r1r1r1_type, type, ssPv16_8r1r1r1r1r1r1r1r1: $i > $i >
% 10.32/2.51 $i > $i >
% 10.32/2.51 $i > $i >
% 10.32/2.51 $i > $i > $o).
% 10.32/2.51 thf(ssPv18_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssPv18_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 10.32/2.51 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 10.32/2.51 thf(ssPv19_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssPv19_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 10.32/2.51 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 10.32/2.51 thf(ssPv20_10r1r1r1r1r1r1r1r1r1r1_type, type, ssPv20_10r1r1r1r1r1r1r1r1r1r1:
% 10.32/2.51 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 10.32/2.51 thf(ssNder1_7r1r1r1r1r1r1r1_type, type, ssNder1_7r1r1r1r1r1r1r1: $i > $i >
% 10.32/2.51 $i > $i >
% 10.32/2.51 $i > $i > $i > $o).
% 10.32/2.51 thf(ssPv11_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssPv11_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 10.32/2.51 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 10.32/2.51 thf(skc18_type, type, skc18: $i).
% 10.32/2.51 thf(ssNder1_8r1r1r1r1r1r1r1r1_type, type, ssNder1_8r1r1r1r1r1r1r1r1:
% 10.32/2.51 $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 10.32/2.51 thf(skc24_type, type, skc24: $i).
% 10.32/2.51 thf(skc27_type, type, skc27: $i).
% 10.32/2.51 thf(ssPv13_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssPv13_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 10.32/2.51 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 10.32/2.51 thf(skc28_type, type, skc28: $i).
% 10.32/2.51 thf(skc29_type, type, skc29: $i).
% 10.32/2.51 thf(ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 10.32/2.51 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i >
% 10.32/2.51 $i > $i > $o).
% 10.32/2.51 thf(ssPv14_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssPv14_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 10.32/2.51 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i >
% 10.32/2.51 $i > $i > $i > $i > $o).
% 10.32/2.51 thf(ssPv15_6r1r1r1r1r1r1_type, type, ssPv15_6r1r1r1r1r1r1: $i > $i > $i >
% 10.32/2.51 $i > $i > $i > $o).
% 10.32/2.51 thf(ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 10.32/2.51 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i >
% 10.32/2.51 $i > $i > $o).
% 10.32/2.51 thf(ssPv15_8r1r1r1r1r1r1r1r1_type, type, ssPv15_8r1r1r1r1r1r1r1r1: $i > $i >
% 10.32/2.51 $i > $i >
% 10.32/2.51 $i > $i >
% 10.32/2.51 $i > $i > $o).
% 10.32/2.51 thf(ssPv11_8r1r1r1r1r1r1r1r1_type, type, ssPv11_8r1r1r1r1r1r1r1r1: $i > $i >
% 10.32/2.51 $i > $i >
% 10.32/2.51 $i > $i >
% 10.32/2.51 $i > $i > $o).
% 10.32/2.51 thf(ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1:
% 10.32/2.51 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 10.32/2.51 thf(ssPv5_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssPv5_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 10.32/2.51 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i >
% 10.32/2.51 $i > $i > $i > $i > $o).
% 10.32/2.51 thf(ssNder1_3r1r1r1_type, type, ssNder1_3r1r1r1: $i > $i > $i > $o).
% 10.32/2.51 thf(ssNder1_4r1r1r1r1_type, type, ssNder1_4r1r1r1r1: $i > $i > $i > $i > $o).
% 10.32/2.51 thf(ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 10.32/2.51 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 10.32/2.51 thf(ssPv18_8r1r1r1r1r1r1r1r1_type, type, ssPv18_8r1r1r1r1r1r1r1r1: $i > $i >
% 10.32/2.51 $i > $i >
% 10.32/2.51 $i > $i >
% 10.32/2.51 $i > $i > $o).
% 10.32/2.51 thf(ssPv20_8r1r1r1r1r1r1r1r1_type, type, ssPv20_8r1r1r1r1r1r1r1r1: $i > $i >
% 10.32/2.51 $i > $i >
% 10.32/2.51 $i > $i >
% 10.32/2.51 $i > $i > $o).
% 10.32/2.51 thf(ssPv18_3r1r1r1_type, type, ssPv18_3r1r1r1: $i > $i > $i > $o).
% 10.32/2.51 thf(ssNder1_11r1r1r1r1r1r1r1r1r1r1r1_type, type, ssNder1_11r1r1r1r1r1r1r1r1r1r1r1:
% 10.32/2.51 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 10.32/2.51 thf(ssNder1_0_type, type, ssNder1_0: $o).
% 10.32/2.51 thf(ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1:
% 10.32/2.51 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 10.32/2.51 thf(ssPv13_10r1r1r1r1r1r1r1r1r1r1_type, type, ssPv13_10r1r1r1r1r1r1r1r1r1r1:
% 10.32/2.51 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 10.32/2.51 thf(ssPv20_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssPv20_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 10.32/2.51 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i >
% 10.32/2.51 $i > $i > $i > $i > $o).
% 10.32/2.51 thf(ssNder1_6r1r1r1r1r1r1_type, type, ssNder1_6r1r1r1r1r1r1: $i > $i > $i >
% 10.32/2.51 $i > $i > $i > $o).
% 10.32/2.51 thf(ssPv13_8r1r1r1r1r1r1r1r1_type, type, ssPv13_8r1r1r1r1r1r1r1r1: $i > $i >
% 10.32/2.51 $i > $i >
% 10.32/2.51 $i > $i >
% 10.32/2.51 $i > $i > $o).
% 10.32/2.51 thf(ssPv3_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssPv3_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 10.32/2.51 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i >
% 10.32/2.51 $i > $i > $i > $i > $o).
% 10.32/2.51 thf(ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 10.32/2.51 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 10.32/2.51 thf(ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 10.32/2.51 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i >
% 10.32/2.51 $i > $i > $i > $o).
% 10.32/2.51 thf(ssNder1_10r1r1r1r1r1r1r1r1r1r1_type, type, ssNder1_10r1r1r1r1r1r1r1r1r1r1:
% 10.32/2.51 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 10.32/2.51 thf(ssNder1_9r1r1r1r1r1r1r1r1r1_type, type, ssNder1_9r1r1r1r1r1r1r1r1r1:
% 10.32/2.51 $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 10.32/2.51 thf(ssPv19_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssPv19_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 10.32/2.51 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 10.32/2.51 thf(ssPv20_1r1_type, type, ssPv20_1r1: $i > $o).
% 10.32/2.51 thf(ssPv16_10r1r1r1r1r1r1r1r1r1r1_type, type, ssPv16_10r1r1r1r1r1r1r1r1r1r1:
% 10.32/2.51 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 10.32/2.51 thf(ssNder1_2r1r1_type, type, ssNder1_2r1r1: $i > $i > $o).
% 10.32/2.51 thf(skc21_type, type, skc21: $i).
% 10.32/2.51 thf(ssPv16_5r1r1r1r1r1_type, type, ssPv16_5r1r1r1r1r1: $i > $i > $i > $i > $i > $o).
% 10.32/2.51 thf(ssPv14_7r1r1r1r1r1r1r1_type, type, ssPv14_7r1r1r1r1r1r1r1: $i > $i >
% 10.32/2.51 $i > $i >
% 10.32/2.51 $i > $i > $i > $o).
% 10.32/2.51 thf(ssPv15_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssPv15_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 10.32/2.51 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 10.32/2.51 thf(ssPv11_10r1r1r1r1r1r1r1r1r1r1_type, type, ssPv11_10r1r1r1r1r1r1r1r1r1r1:
% 10.32/2.51 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 10.32/2.51 thf(skc20_type, type, skc20: $i).
% 10.32/2.51 thf(skc31_type, type, skc31: $i).
% 10.32/2.51 thf(clause57, conjecture,
% 10.32/2.51 (~( ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.32/2.51 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 10.32/2.51 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.32/2.51 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.32/2.51 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.32/2.51 ( ~( ssPv14_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ skc27 ) ) ))).
% 10.32/2.51 thf(zf_stmt_0, negated_conjecture,
% 10.32/2.51 (( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.32/2.51 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.32/2.51 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.32/2.51 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.32/2.51 ( ~( ssPv14_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ skc27 ) )),
% 10.32/2.51 inference('cnf.neg', [status(esa)], [clause57])).
% 10.32/2.51 thf(zip_derived_cl479, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 10.32/2.51 (~ (ssNder1_0)
% 10.32/2.51 | ~ (ssNder1_1r1 @ X0)
% 10.32/2.51 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 10.32/2.51 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 10.32/2.51 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 10.32/2.51 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 10.32/2.51 | ~ (ssPv14_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ skc27))),
% 10.32/2.51 inference('cnf', [status(esa)], [zf_stmt_0])).
% 10.32/2.51 thf(clause1, conjecture, (~( ssNder1_0 ))).
% 10.32/2.51 thf(zf_stmt_1, negated_conjecture, (ssNder1_0),
% 10.32/2.51 inference('cnf.neg', [status(esa)], [clause1])).
% 10.32/2.51 thf(zip_derived_cl535, plain, ( (ssNder1_0)),
% 10.32/2.51 inference('cnf', [status(esa)], [zf_stmt_1])).
% 10.32/2.51 thf(zip_derived_cl537, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 10.32/2.51 (~ (ssNder1_1r1 @ X0)
% 10.32/2.51 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 10.32/2.51 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 10.32/2.51 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 10.32/2.51 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 10.32/2.51 | ~ (ssPv14_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ skc27))),
% 10.32/2.51 inference('demod', [status(thm)], [zip_derived_cl479, zip_derived_cl535])).
% 10.32/2.51 thf(clause2, conjecture, (~( ( ssNder1_1r1 @ U ) | ( ~( ssNder1_0 ) ) ))).
% 10.32/2.51 thf(zf_stmt_2, negated_conjecture,
% 10.32/2.51 (( ssNder1_1r1 @ U ) | ( ~( ssNder1_0 ) )),
% 10.32/2.51 inference('cnf.neg', [status(esa)], [clause2])).
% 10.32/2.51 thf(zip_derived_cl534, plain,
% 10.32/2.51 (![X0 : $i]: ( (ssNder1_1r1 @ X0) | ~ (ssNder1_0))),
% 10.32/2.51 inference('cnf', [status(esa)], [zf_stmt_2])).
% 10.32/2.51 thf(zip_derived_cl535, plain, ( (ssNder1_0)),
% 10.32/2.51 inference('cnf', [status(esa)], [zf_stmt_1])).
% 10.32/2.51 thf(zip_derived_cl541, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 10.32/2.51 inference('demod', [status(thm)], [zip_derived_cl534, zip_derived_cl535])).
% 10.32/2.51 thf(clause3, conjecture,
% 10.32/2.51 (~( ( ssNder1_2r1r1 @ U @ V ) | ( ~( ssNder1_0 ) ) |
% 10.32/2.51 ( ~( ssNder1_1r1 @ U ) ) ))).
% 10.32/2.51 thf(zf_stmt_3, negated_conjecture,
% 10.32/2.51 (( ssNder1_2r1r1 @ U @ V ) | ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) )),
% 10.32/2.51 inference('cnf.neg', [status(esa)], [clause3])).
% 10.32/2.51 thf(zip_derived_cl533, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i]:
% 10.32/2.51 ( (ssNder1_2r1r1 @ X0 @ X1) | ~ (ssNder1_0) | ~ (ssNder1_1r1 @ X0))),
% 10.32/2.51 inference('cnf', [status(esa)], [zf_stmt_3])).
% 10.32/2.51 thf(zip_derived_cl535, plain, ( (ssNder1_0)),
% 10.32/2.51 inference('cnf', [status(esa)], [zf_stmt_1])).
% 10.32/2.51 thf(zip_derived_cl541, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 10.32/2.51 inference('demod', [status(thm)], [zip_derived_cl534, zip_derived_cl535])).
% 10.32/2.51 thf(zip_derived_cl542, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl533, zip_derived_cl535, zip_derived_cl541])).
% 10.32/2.51 thf(clause9, conjecture,
% 10.32/2.51 (~( ( ssNder1_3r1r1r1 @ U @ V @ W ) | ( ~( ssNder1_0 ) ) |
% 10.32/2.51 ( ~( ssNder1_1r1 @ U ) ) | ( ~( ssNder1_2r1r1 @ U @ V ) ) ))).
% 10.32/2.51 thf(zf_stmt_4, negated_conjecture,
% 10.32/2.51 (( ssNder1_3r1r1r1 @ U @ V @ W ) | ( ~( ssNder1_0 ) ) |
% 10.32/2.51 ( ~( ssNder1_1r1 @ U ) ) | ( ~( ssNder1_2r1r1 @ U @ V ) )),
% 10.32/2.51 inference('cnf.neg', [status(esa)], [clause9])).
% 10.32/2.51 thf(zip_derived_cl527, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i]:
% 10.32/2.51 ( (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 10.32/2.51 | ~ (ssNder1_0)
% 10.32/2.51 | ~ (ssNder1_1r1 @ X0)
% 10.32/2.51 | ~ (ssNder1_2r1r1 @ X0 @ X1))),
% 10.32/2.51 inference('cnf', [status(esa)], [zf_stmt_4])).
% 10.32/2.51 thf(zip_derived_cl535, plain, ( (ssNder1_0)),
% 10.32/2.51 inference('cnf', [status(esa)], [zf_stmt_1])).
% 10.32/2.51 thf(zip_derived_cl541, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 10.32/2.51 inference('demod', [status(thm)], [zip_derived_cl534, zip_derived_cl535])).
% 10.32/2.51 thf(zip_derived_cl542, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl533, zip_derived_cl535, zip_derived_cl541])).
% 10.32/2.51 thf(zip_derived_cl548, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl527, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.51 zip_derived_cl542])).
% 10.32/2.51 thf(zip_derived_cl563, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 10.32/2.51 (~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 10.32/2.51 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 10.32/2.51 | ~ (ssPv14_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ skc27))),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl537, zip_derived_cl541, zip_derived_cl542,
% 10.32/2.51 zip_derived_cl548])).
% 10.32/2.51 thf(clause17, conjecture,
% 10.32/2.51 (~( ( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) | ( ~( ssNder1_0 ) ) |
% 10.32/2.51 ( ~( ssNder1_1r1 @ U ) ) | ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 10.32/2.51 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) ))).
% 10.32/2.51 thf(zf_stmt_5, negated_conjecture,
% 10.32/2.51 (( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) | ( ~( ssNder1_0 ) ) |
% 10.32/2.51 ( ~( ssNder1_1r1 @ U ) ) | ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 10.32/2.51 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) )),
% 10.32/2.51 inference('cnf.neg', [status(esa)], [clause17])).
% 10.32/2.51 thf(zip_derived_cl519, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.32/2.51 ( (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 10.32/2.51 | ~ (ssNder1_0)
% 10.32/2.51 | ~ (ssNder1_1r1 @ X0)
% 10.32/2.51 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 10.32/2.51 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2))),
% 10.32/2.51 inference('cnf', [status(esa)], [zf_stmt_5])).
% 10.32/2.51 thf(zip_derived_cl535, plain, ( (ssNder1_0)),
% 10.32/2.51 inference('cnf', [status(esa)], [zf_stmt_1])).
% 10.32/2.51 thf(zip_derived_cl541, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 10.32/2.51 inference('demod', [status(thm)], [zip_derived_cl534, zip_derived_cl535])).
% 10.32/2.51 thf(zip_derived_cl542, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl533, zip_derived_cl535, zip_derived_cl541])).
% 10.32/2.51 thf(zip_derived_cl548, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl527, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.51 zip_derived_cl542])).
% 10.32/2.51 thf(zip_derived_cl568, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.32/2.51 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl519, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.51 zip_derived_cl542, zip_derived_cl548])).
% 10.32/2.51 thf(zip_derived_cl570, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 10.32/2.51 (~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 10.32/2.51 | ~ (ssPv14_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ skc27))),
% 10.32/2.51 inference('demod', [status(thm)], [zip_derived_cl563, zip_derived_cl568])).
% 10.32/2.51 thf(clause35, conjecture,
% 10.32/2.51 (~( ( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) | ( ~( ssNder1_0 ) ) |
% 10.32/2.51 ( ~( ssNder1_1r1 @ U ) ) | ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 10.32/2.51 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.32/2.51 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) ))).
% 10.32/2.51 thf(zf_stmt_6, negated_conjecture,
% 10.32/2.51 (( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) | ( ~( ssNder1_0 ) ) |
% 10.32/2.51 ( ~( ssNder1_1r1 @ U ) ) | ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 10.32/2.51 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.32/2.51 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) )),
% 10.32/2.51 inference('cnf.neg', [status(esa)], [clause35])).
% 10.32/2.51 thf(zip_derived_cl501, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 10.32/2.51 ( (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 10.32/2.51 | ~ (ssNder1_0)
% 10.32/2.51 | ~ (ssNder1_1r1 @ X0)
% 10.32/2.51 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 10.32/2.51 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 10.32/2.51 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3))),
% 10.32/2.51 inference('cnf', [status(esa)], [zf_stmt_6])).
% 10.32/2.51 thf(zip_derived_cl535, plain, ( (ssNder1_0)),
% 10.32/2.51 inference('cnf', [status(esa)], [zf_stmt_1])).
% 10.32/2.51 thf(zip_derived_cl541, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 10.32/2.51 inference('demod', [status(thm)], [zip_derived_cl534, zip_derived_cl535])).
% 10.32/2.51 thf(zip_derived_cl542, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl533, zip_derived_cl535, zip_derived_cl541])).
% 10.32/2.51 thf(zip_derived_cl548, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl527, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.51 zip_derived_cl542])).
% 10.32/2.51 thf(zip_derived_cl568, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.32/2.51 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl519, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.51 zip_derived_cl542, zip_derived_cl548])).
% 10.32/2.51 thf(zip_derived_cl596, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 10.32/2.51 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl501, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.51 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568])).
% 10.32/2.51 thf(zip_derived_cl597, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 10.32/2.51 ~ (ssPv14_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ skc27)),
% 10.32/2.51 inference('demod', [status(thm)], [zip_derived_cl570, zip_derived_cl596])).
% 10.32/2.51 thf(clause285, conjecture,
% 10.32/2.51 (~( ( ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.51 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 10.32/2.51 skc16 ) |
% 10.32/2.51 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.32/2.51 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 10.32/2.51 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.32/2.51 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.32/2.51 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.32/2.51 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.32/2.51 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.32/2.51 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 10.32/2.51 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 10.32/2.51 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.51 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 10.32/2.51 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.51 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 10.32/2.51 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.51 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 10.32/2.51 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.51 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 10.32/2.51 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.51 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) ))).
% 10.32/2.51 thf(zf_stmt_7, negated_conjecture,
% 10.32/2.51 (( ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.51 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 10.32/2.51 skc16 ) |
% 10.32/2.51 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.32/2.51 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.32/2.51 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.32/2.51 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.32/2.51 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.32/2.51 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.32/2.51 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 10.32/2.51 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 10.32/2.51 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.51 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 10.32/2.51 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.51 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 10.32/2.51 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.51 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 10.32/2.51 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.51 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 10.32/2.51 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.51 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) )),
% 10.32/2.51 inference('cnf.neg', [status(esa)], [clause285])).
% 10.32/2.51 thf(zip_derived_cl251, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.51 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 10.32/2.51 X14 : $i]:
% 10.32/2.51 ( (ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.32/2.51 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ skc16)
% 10.32/2.51 | ~ (ssNder1_0)
% 10.32/2.51 | ~ (ssNder1_1r1 @ X0)
% 10.32/2.51 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 10.32/2.51 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 10.32/2.51 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 10.32/2.51 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 10.32/2.51 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 10.32/2.51 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 10.32/2.51 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.32/2.51 X7)
% 10.32/2.51 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.32/2.51 X6 @ X7 @ X8)
% 10.32/2.51 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.32/2.51 X6 @ X7 @ X8 @ X9)
% 10.32/2.51 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.32/2.51 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 10.32/2.51 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.32/2.51 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 10.32/2.51 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.32/2.51 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 10.32/2.51 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.32/2.51 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13))),
% 10.32/2.51 inference('cnf', [status(esa)], [zf_stmt_7])).
% 10.32/2.51 thf(zip_derived_cl535, plain, ( (ssNder1_0)),
% 10.32/2.51 inference('cnf', [status(esa)], [zf_stmt_1])).
% 10.32/2.51 thf(zip_derived_cl541, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 10.32/2.51 inference('demod', [status(thm)], [zip_derived_cl534, zip_derived_cl535])).
% 10.32/2.51 thf(zip_derived_cl542, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl533, zip_derived_cl535, zip_derived_cl541])).
% 10.32/2.51 thf(zip_derived_cl548, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl527, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.51 zip_derived_cl542])).
% 10.32/2.51 thf(zip_derived_cl568, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.32/2.51 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl519, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.51 zip_derived_cl542, zip_derived_cl548])).
% 10.32/2.51 thf(zip_derived_cl596, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 10.32/2.51 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl501, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.51 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568])).
% 10.32/2.51 thf(clause51, conjecture,
% 10.32/2.51 (~( ( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) |
% 10.32/2.51 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.32/2.51 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 10.32/2.51 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.32/2.51 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.32/2.51 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) ))).
% 10.32/2.51 thf(zf_stmt_8, negated_conjecture,
% 10.32/2.51 (( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) | ( ~( ssNder1_0 ) ) |
% 10.32/2.51 ( ~( ssNder1_1r1 @ U ) ) | ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 10.32/2.51 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.32/2.51 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.32/2.51 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) )),
% 10.32/2.51 inference('cnf.neg', [status(esa)], [clause51])).
% 10.32/2.51 thf(zip_derived_cl485, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 10.32/2.51 ( (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 10.32/2.51 | ~ (ssNder1_0)
% 10.32/2.51 | ~ (ssNder1_1r1 @ X0)
% 10.32/2.51 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 10.32/2.51 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 10.32/2.51 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 10.32/2.51 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4))),
% 10.32/2.51 inference('cnf', [status(esa)], [zf_stmt_8])).
% 10.32/2.51 thf(zip_derived_cl535, plain, ( (ssNder1_0)),
% 10.32/2.51 inference('cnf', [status(esa)], [zf_stmt_1])).
% 10.32/2.51 thf(zip_derived_cl541, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 10.32/2.51 inference('demod', [status(thm)], [zip_derived_cl534, zip_derived_cl535])).
% 10.32/2.51 thf(zip_derived_cl542, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl533, zip_derived_cl535, zip_derived_cl541])).
% 10.32/2.51 thf(zip_derived_cl548, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl527, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.51 zip_derived_cl542])).
% 10.32/2.51 thf(zip_derived_cl568, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.32/2.51 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl519, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.51 zip_derived_cl542, zip_derived_cl548])).
% 10.32/2.51 thf(zip_derived_cl596, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 10.32/2.51 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl501, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.51 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568])).
% 10.32/2.51 thf(zip_derived_cl621, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 10.32/2.51 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl485, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.51 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.51 zip_derived_cl596])).
% 10.32/2.51 thf(clause72, conjecture,
% 10.32/2.51 (~( ( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) |
% 10.32/2.51 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.32/2.51 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 10.32/2.51 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.32/2.51 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.32/2.51 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.32/2.51 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) ))).
% 10.32/2.51 thf(zf_stmt_9, negated_conjecture,
% 10.32/2.51 (( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) |
% 10.32/2.51 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.32/2.51 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.32/2.51 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.32/2.51 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.32/2.51 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) )),
% 10.32/2.51 inference('cnf.neg', [status(esa)], [clause72])).
% 10.32/2.51 thf(zip_derived_cl464, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 10.32/2.51 ( (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 10.32/2.51 | ~ (ssNder1_0)
% 10.32/2.51 | ~ (ssNder1_1r1 @ X0)
% 10.32/2.51 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 10.32/2.51 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 10.32/2.51 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 10.32/2.51 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 10.32/2.51 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5))),
% 10.32/2.51 inference('cnf', [status(esa)], [zf_stmt_9])).
% 10.32/2.51 thf(zip_derived_cl535, plain, ( (ssNder1_0)),
% 10.32/2.51 inference('cnf', [status(esa)], [zf_stmt_1])).
% 10.32/2.51 thf(zip_derived_cl541, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 10.32/2.51 inference('demod', [status(thm)], [zip_derived_cl534, zip_derived_cl535])).
% 10.32/2.51 thf(zip_derived_cl542, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl533, zip_derived_cl535, zip_derived_cl541])).
% 10.32/2.51 thf(zip_derived_cl548, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl527, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.51 zip_derived_cl542])).
% 10.32/2.51 thf(zip_derived_cl568, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.32/2.51 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl519, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.51 zip_derived_cl542, zip_derived_cl548])).
% 10.32/2.51 thf(zip_derived_cl596, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 10.32/2.51 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl501, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.51 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568])).
% 10.32/2.51 thf(zip_derived_cl621, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 10.32/2.51 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl485, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.51 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.51 zip_derived_cl596])).
% 10.32/2.51 thf(zip_derived_cl653, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 10.32/2.51 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl464, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.51 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.51 zip_derived_cl596, zip_derived_cl621])).
% 10.32/2.51 thf(clause95, conjecture,
% 10.32/2.51 (~( ( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) |
% 10.32/2.51 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.32/2.51 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 10.32/2.51 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.32/2.51 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.32/2.51 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.32/2.51 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.32/2.51 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) ))).
% 10.32/2.51 thf(zf_stmt_10, negated_conjecture,
% 10.32/2.51 (( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) |
% 10.32/2.51 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.32/2.51 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.32/2.51 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.32/2.51 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.32/2.51 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.32/2.51 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) )),
% 10.32/2.51 inference('cnf.neg', [status(esa)], [clause95])).
% 10.32/2.51 thf(zip_derived_cl441, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 10.32/2.51 ( (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)
% 10.32/2.51 | ~ (ssNder1_0)
% 10.32/2.51 | ~ (ssNder1_1r1 @ X0)
% 10.32/2.51 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 10.32/2.51 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 10.32/2.51 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 10.32/2.51 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 10.32/2.51 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 10.32/2.51 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6))),
% 10.32/2.51 inference('cnf', [status(esa)], [zf_stmt_10])).
% 10.32/2.51 thf(zip_derived_cl535, plain, ( (ssNder1_0)),
% 10.32/2.51 inference('cnf', [status(esa)], [zf_stmt_1])).
% 10.32/2.51 thf(zip_derived_cl541, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 10.32/2.51 inference('demod', [status(thm)], [zip_derived_cl534, zip_derived_cl535])).
% 10.32/2.51 thf(zip_derived_cl542, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl533, zip_derived_cl535, zip_derived_cl541])).
% 10.32/2.51 thf(zip_derived_cl548, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl527, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.51 zip_derived_cl542])).
% 10.32/2.51 thf(zip_derived_cl568, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.32/2.51 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl519, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.51 zip_derived_cl542, zip_derived_cl548])).
% 10.32/2.51 thf(zip_derived_cl596, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 10.32/2.51 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl501, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.51 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568])).
% 10.32/2.51 thf(zip_derived_cl621, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 10.32/2.51 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl485, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.51 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.51 zip_derived_cl596])).
% 10.32/2.51 thf(zip_derived_cl653, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 10.32/2.51 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl464, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.51 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.51 zip_derived_cl596, zip_derived_cl621])).
% 10.32/2.51 thf(zip_derived_cl690, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 10.32/2.51 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl441, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.51 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.51 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653])).
% 10.32/2.51 thf(clause118, conjecture,
% 10.32/2.51 (~( ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) |
% 10.32/2.51 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.32/2.51 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 10.32/2.51 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.32/2.51 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.32/2.51 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.32/2.51 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.32/2.51 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.32/2.51 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) ))).
% 10.32/2.51 thf(zf_stmt_11, negated_conjecture,
% 10.32/2.51 (( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) |
% 10.32/2.51 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.32/2.51 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.32/2.51 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.32/2.51 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.32/2.51 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.32/2.51 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.32/2.51 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) )),
% 10.32/2.51 inference('cnf.neg', [status(esa)], [clause118])).
% 10.32/2.51 thf(zip_derived_cl418, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.51 X7 : $i, X8 : $i]:
% 10.32/2.51 ( (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.32/2.51 X7 @ X8)
% 10.32/2.51 | ~ (ssNder1_0)
% 10.32/2.51 | ~ (ssNder1_1r1 @ X0)
% 10.32/2.51 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 10.32/2.51 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 10.32/2.51 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 10.32/2.51 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 10.32/2.51 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 10.32/2.51 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 10.32/2.51 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.32/2.51 X7))),
% 10.32/2.51 inference('cnf', [status(esa)], [zf_stmt_11])).
% 10.32/2.51 thf(zip_derived_cl535, plain, ( (ssNder1_0)),
% 10.32/2.51 inference('cnf', [status(esa)], [zf_stmt_1])).
% 10.32/2.51 thf(zip_derived_cl541, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 10.32/2.51 inference('demod', [status(thm)], [zip_derived_cl534, zip_derived_cl535])).
% 10.32/2.51 thf(zip_derived_cl542, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl533, zip_derived_cl535, zip_derived_cl541])).
% 10.32/2.51 thf(zip_derived_cl548, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl527, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.51 zip_derived_cl542])).
% 10.32/2.51 thf(zip_derived_cl568, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.32/2.51 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl519, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.51 zip_derived_cl542, zip_derived_cl548])).
% 10.32/2.51 thf(zip_derived_cl596, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 10.32/2.51 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl501, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.51 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568])).
% 10.32/2.51 thf(zip_derived_cl621, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 10.32/2.51 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl485, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.51 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.51 zip_derived_cl596])).
% 10.32/2.51 thf(zip_derived_cl653, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 10.32/2.51 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl464, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.51 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.51 zip_derived_cl596, zip_derived_cl621])).
% 10.32/2.51 thf(zip_derived_cl690, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 10.32/2.51 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl441, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.51 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.51 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653])).
% 10.32/2.51 thf(zip_derived_cl735, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.51 X7 : $i, X8 : $i]:
% 10.32/2.51 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.32/2.51 X7 @ X8)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl418, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.51 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.51 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653,
% 10.32/2.51 zip_derived_cl690])).
% 10.32/2.51 thf(clause140, conjecture,
% 10.32/2.51 (~( ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.51 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) |
% 10.32/2.51 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.32/2.51 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 10.32/2.51 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.32/2.51 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.32/2.51 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.32/2.51 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.32/2.51 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.32/2.51 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 10.32/2.51 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) ))).
% 10.32/2.51 thf(zf_stmt_12, negated_conjecture,
% 10.32/2.51 (( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.51 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) |
% 10.32/2.51 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.32/2.51 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.32/2.51 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.32/2.51 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.32/2.51 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.32/2.51 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.32/2.51 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 10.32/2.51 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) )),
% 10.32/2.51 inference('cnf.neg', [status(esa)], [clause140])).
% 10.32/2.51 thf(zip_derived_cl396, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.51 X7 : $i, X8 : $i, X9 : $i]:
% 10.32/2.51 ( (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.32/2.51 X6 @ X7 @ X8 @ X9)
% 10.32/2.51 | ~ (ssNder1_0)
% 10.32/2.51 | ~ (ssNder1_1r1 @ X0)
% 10.32/2.51 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 10.32/2.51 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 10.32/2.51 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 10.32/2.51 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 10.32/2.51 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 10.32/2.51 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 10.32/2.51 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.32/2.51 X7)
% 10.32/2.51 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.32/2.51 X6 @ X7 @ X8))),
% 10.32/2.51 inference('cnf', [status(esa)], [zf_stmt_12])).
% 10.32/2.51 thf(zip_derived_cl535, plain, ( (ssNder1_0)),
% 10.32/2.51 inference('cnf', [status(esa)], [zf_stmt_1])).
% 10.32/2.51 thf(zip_derived_cl541, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 10.32/2.51 inference('demod', [status(thm)], [zip_derived_cl534, zip_derived_cl535])).
% 10.32/2.51 thf(zip_derived_cl542, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl533, zip_derived_cl535, zip_derived_cl541])).
% 10.32/2.51 thf(zip_derived_cl548, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl527, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.51 zip_derived_cl542])).
% 10.32/2.51 thf(zip_derived_cl568, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.32/2.51 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl519, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.51 zip_derived_cl542, zip_derived_cl548])).
% 10.32/2.51 thf(zip_derived_cl596, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 10.32/2.51 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl501, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.51 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568])).
% 10.32/2.51 thf(zip_derived_cl621, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 10.32/2.51 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl485, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.51 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.51 zip_derived_cl596])).
% 10.32/2.51 thf(zip_derived_cl653, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 10.32/2.51 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl464, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.51 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.51 zip_derived_cl596, zip_derived_cl621])).
% 10.32/2.51 thf(zip_derived_cl690, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 10.32/2.51 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl441, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.51 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.51 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653])).
% 10.32/2.51 thf(zip_derived_cl735, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.51 X7 : $i, X8 : $i]:
% 10.32/2.51 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.32/2.51 X7 @ X8)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl418, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.51 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.51 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653,
% 10.32/2.51 zip_derived_cl690])).
% 10.32/2.51 thf(zip_derived_cl777, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.51 X7 : $i, X8 : $i, X9 : $i]:
% 10.32/2.51 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.32/2.51 X7 @ X8 @ X9)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl396, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.51 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.51 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653,
% 10.32/2.51 zip_derived_cl690, zip_derived_cl735])).
% 10.32/2.51 thf(clause164, conjecture,
% 10.32/2.51 (~( ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.51 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) |
% 10.32/2.51 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.32/2.51 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 10.32/2.51 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.32/2.51 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.32/2.51 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.32/2.51 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.32/2.51 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.32/2.51 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 10.32/2.51 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 10.32/2.51 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.51 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) ))).
% 10.32/2.51 thf(zf_stmt_13, negated_conjecture,
% 10.32/2.51 (( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.51 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) |
% 10.32/2.51 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.32/2.51 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.32/2.51 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.32/2.51 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.32/2.51 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.32/2.51 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.32/2.51 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 10.32/2.51 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 10.32/2.51 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.51 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) )),
% 10.32/2.51 inference('cnf.neg', [status(esa)], [clause164])).
% 10.32/2.51 thf(zip_derived_cl372, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.51 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 10.32/2.51 ( (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.32/2.51 X6 @ X7 @ X8 @ X9 @ X10)
% 10.32/2.51 | ~ (ssNder1_0)
% 10.32/2.51 | ~ (ssNder1_1r1 @ X0)
% 10.32/2.51 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 10.32/2.51 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 10.32/2.51 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 10.32/2.51 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 10.32/2.51 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 10.32/2.51 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 10.32/2.51 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.32/2.51 X7)
% 10.32/2.51 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.32/2.51 X6 @ X7 @ X8)
% 10.32/2.51 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.32/2.51 X6 @ X7 @ X8 @ X9))),
% 10.32/2.51 inference('cnf', [status(esa)], [zf_stmt_13])).
% 10.32/2.51 thf(zip_derived_cl535, plain, ( (ssNder1_0)),
% 10.32/2.51 inference('cnf', [status(esa)], [zf_stmt_1])).
% 10.32/2.51 thf(zip_derived_cl541, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 10.32/2.51 inference('demod', [status(thm)], [zip_derived_cl534, zip_derived_cl535])).
% 10.32/2.51 thf(zip_derived_cl542, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl533, zip_derived_cl535, zip_derived_cl541])).
% 10.32/2.51 thf(zip_derived_cl548, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl527, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.51 zip_derived_cl542])).
% 10.32/2.51 thf(zip_derived_cl568, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.32/2.51 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl519, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.51 zip_derived_cl542, zip_derived_cl548])).
% 10.32/2.51 thf(zip_derived_cl596, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 10.32/2.51 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl501, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.51 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568])).
% 10.32/2.51 thf(zip_derived_cl621, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 10.32/2.51 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl485, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.51 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.51 zip_derived_cl596])).
% 10.32/2.51 thf(zip_derived_cl653, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 10.32/2.51 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl464, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.51 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.51 zip_derived_cl596, zip_derived_cl621])).
% 10.32/2.51 thf(zip_derived_cl690, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 10.32/2.51 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl441, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.51 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.51 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653])).
% 10.32/2.51 thf(zip_derived_cl735, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.51 X7 : $i, X8 : $i]:
% 10.32/2.51 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.32/2.51 X7 @ X8)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl418, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.51 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.51 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653,
% 10.32/2.51 zip_derived_cl690])).
% 10.32/2.51 thf(zip_derived_cl777, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.51 X7 : $i, X8 : $i, X9 : $i]:
% 10.32/2.51 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.32/2.51 X7 @ X8 @ X9)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl396, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.51 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.51 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653,
% 10.32/2.51 zip_derived_cl690, zip_derived_cl735])).
% 10.32/2.51 thf(zip_derived_cl843, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.51 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 10.32/2.51 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.32/2.51 X6 @ X7 @ X8 @ X9 @ X10)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl372, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.51 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.51 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653,
% 10.32/2.51 zip_derived_cl690, zip_derived_cl735, zip_derived_cl777])).
% 10.32/2.51 thf(clause191, conjecture,
% 10.32/2.51 (~( ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.51 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) |
% 10.32/2.51 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.32/2.51 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 10.32/2.51 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.32/2.51 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.32/2.51 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.32/2.51 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.32/2.51 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.32/2.51 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 10.32/2.51 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 10.32/2.51 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.51 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 10.32/2.51 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.51 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) ))).
% 10.32/2.51 thf(zf_stmt_14, negated_conjecture,
% 10.32/2.51 (( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.51 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) |
% 10.32/2.51 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.32/2.51 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.32/2.51 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.32/2.51 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.32/2.51 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.32/2.51 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.32/2.51 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 10.32/2.51 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 10.32/2.51 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.51 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 10.32/2.51 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.51 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) )),
% 10.32/2.51 inference('cnf.neg', [status(esa)], [clause191])).
% 10.32/2.51 thf(zip_derived_cl345, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.51 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 10.32/2.51 ( (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.32/2.51 X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 10.32/2.51 | ~ (ssNder1_0)
% 10.32/2.51 | ~ (ssNder1_1r1 @ X0)
% 10.32/2.51 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 10.32/2.51 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 10.32/2.51 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 10.32/2.51 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 10.32/2.51 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 10.32/2.51 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 10.32/2.51 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.32/2.51 X7)
% 10.32/2.51 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.32/2.51 X6 @ X7 @ X8)
% 10.32/2.51 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.32/2.51 X6 @ X7 @ X8 @ X9)
% 10.32/2.51 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.32/2.51 X5 @ X6 @ X7 @ X8 @ X9 @ X10))),
% 10.32/2.51 inference('cnf', [status(esa)], [zf_stmt_14])).
% 10.32/2.51 thf(zip_derived_cl535, plain, ( (ssNder1_0)),
% 10.32/2.51 inference('cnf', [status(esa)], [zf_stmt_1])).
% 10.32/2.51 thf(zip_derived_cl541, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 10.32/2.51 inference('demod', [status(thm)], [zip_derived_cl534, zip_derived_cl535])).
% 10.32/2.51 thf(zip_derived_cl542, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl533, zip_derived_cl535, zip_derived_cl541])).
% 10.32/2.51 thf(zip_derived_cl548, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl527, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.51 zip_derived_cl542])).
% 10.32/2.51 thf(zip_derived_cl568, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.32/2.51 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl519, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.51 zip_derived_cl542, zip_derived_cl548])).
% 10.32/2.51 thf(zip_derived_cl596, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 10.32/2.51 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl501, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.51 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568])).
% 10.32/2.51 thf(zip_derived_cl621, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 10.32/2.51 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl485, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.51 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.51 zip_derived_cl596])).
% 10.32/2.51 thf(zip_derived_cl653, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 10.32/2.51 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl464, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.51 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.51 zip_derived_cl596, zip_derived_cl621])).
% 10.32/2.51 thf(zip_derived_cl690, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 10.32/2.51 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl441, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.51 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.51 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653])).
% 10.32/2.51 thf(zip_derived_cl735, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.51 X7 : $i, X8 : $i]:
% 10.32/2.51 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.32/2.51 X7 @ X8)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl418, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.51 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.51 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653,
% 10.32/2.51 zip_derived_cl690])).
% 10.32/2.51 thf(zip_derived_cl777, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.51 X7 : $i, X8 : $i, X9 : $i]:
% 10.32/2.51 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.32/2.51 X7 @ X8 @ X9)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl396, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.51 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.51 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653,
% 10.32/2.51 zip_derived_cl690, zip_derived_cl735])).
% 10.32/2.51 thf(zip_derived_cl843, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.51 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 10.32/2.51 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.32/2.51 X6 @ X7 @ X8 @ X9 @ X10)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl372, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.51 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.51 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653,
% 10.32/2.51 zip_derived_cl690, zip_derived_cl735, zip_derived_cl777])).
% 10.32/2.51 thf(zip_derived_cl903, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.51 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 10.32/2.51 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.32/2.51 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl345, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.51 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.51 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653,
% 10.32/2.51 zip_derived_cl690, zip_derived_cl735, zip_derived_cl777,
% 10.32/2.51 zip_derived_cl843])).
% 10.32/2.51 thf(clause222, conjecture,
% 10.32/2.51 (~( ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.51 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) |
% 10.32/2.51 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.32/2.51 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 10.32/2.51 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.32/2.51 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.32/2.51 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.32/2.51 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.32/2.51 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.32/2.51 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 10.32/2.51 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 10.32/2.51 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.51 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 10.32/2.51 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.51 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 10.32/2.51 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.51 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) ))).
% 10.32/2.51 thf(zf_stmt_15, negated_conjecture,
% 10.32/2.51 (( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.51 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) |
% 10.32/2.51 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.32/2.51 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.32/2.51 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.32/2.51 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.32/2.51 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.32/2.51 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.32/2.51 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 10.32/2.51 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 10.32/2.51 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.51 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 10.32/2.51 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.51 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 10.32/2.51 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.51 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) )),
% 10.32/2.51 inference('cnf.neg', [status(esa)], [clause222])).
% 10.32/2.51 thf(zip_derived_cl314, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.51 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 10.32/2.51 ( (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.32/2.51 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 10.32/2.51 | ~ (ssNder1_0)
% 10.32/2.51 | ~ (ssNder1_1r1 @ X0)
% 10.32/2.51 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 10.32/2.51 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 10.32/2.51 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 10.32/2.51 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 10.32/2.51 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 10.32/2.51 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 10.32/2.51 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.32/2.51 X7)
% 10.32/2.51 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.32/2.51 X6 @ X7 @ X8)
% 10.32/2.51 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.32/2.51 X6 @ X7 @ X8 @ X9)
% 10.32/2.51 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.32/2.51 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 10.32/2.51 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.32/2.51 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11))),
% 10.32/2.51 inference('cnf', [status(esa)], [zf_stmt_15])).
% 10.32/2.51 thf(zip_derived_cl535, plain, ( (ssNder1_0)),
% 10.32/2.51 inference('cnf', [status(esa)], [zf_stmt_1])).
% 10.32/2.51 thf(zip_derived_cl541, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 10.32/2.51 inference('demod', [status(thm)], [zip_derived_cl534, zip_derived_cl535])).
% 10.32/2.51 thf(zip_derived_cl542, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl533, zip_derived_cl535, zip_derived_cl541])).
% 10.32/2.51 thf(zip_derived_cl548, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl527, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.51 zip_derived_cl542])).
% 10.32/2.51 thf(zip_derived_cl568, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.32/2.51 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl519, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.51 zip_derived_cl542, zip_derived_cl548])).
% 10.32/2.51 thf(zip_derived_cl596, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 10.32/2.51 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl501, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.51 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568])).
% 10.32/2.51 thf(zip_derived_cl621, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 10.32/2.51 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl485, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.51 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.51 zip_derived_cl596])).
% 10.32/2.51 thf(zip_derived_cl653, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 10.32/2.51 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl464, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.51 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.51 zip_derived_cl596, zip_derived_cl621])).
% 10.32/2.51 thf(zip_derived_cl690, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 10.32/2.51 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl441, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.51 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.51 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653])).
% 10.32/2.51 thf(zip_derived_cl735, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.51 X7 : $i, X8 : $i]:
% 10.32/2.51 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.32/2.51 X7 @ X8)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl418, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.51 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.51 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653,
% 10.32/2.51 zip_derived_cl690])).
% 10.32/2.51 thf(zip_derived_cl777, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.51 X7 : $i, X8 : $i, X9 : $i]:
% 10.32/2.51 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.32/2.51 X7 @ X8 @ X9)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl396, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.51 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.51 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653,
% 10.32/2.51 zip_derived_cl690, zip_derived_cl735])).
% 10.32/2.51 thf(zip_derived_cl843, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.51 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 10.32/2.51 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.32/2.51 X6 @ X7 @ X8 @ X9 @ X10)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl372, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.51 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.51 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653,
% 10.32/2.51 zip_derived_cl690, zip_derived_cl735, zip_derived_cl777])).
% 10.32/2.51 thf(zip_derived_cl903, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.51 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 10.32/2.51 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.32/2.51 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl345, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.51 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.51 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653,
% 10.32/2.51 zip_derived_cl690, zip_derived_cl735, zip_derived_cl777,
% 10.32/2.51 zip_derived_cl843])).
% 10.32/2.51 thf(zip_derived_cl974, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.51 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 10.32/2.51 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.32/2.51 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl314, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.51 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.51 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653,
% 10.32/2.51 zip_derived_cl690, zip_derived_cl735, zip_derived_cl777,
% 10.32/2.51 zip_derived_cl843, zip_derived_cl903])).
% 10.32/2.51 thf(clause253, conjecture,
% 10.32/2.51 (~( ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.51 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) |
% 10.32/2.51 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.32/2.51 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 10.32/2.51 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.32/2.51 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.32/2.51 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.32/2.51 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.32/2.51 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.32/2.51 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 10.32/2.51 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 10.32/2.51 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.51 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 10.32/2.51 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.51 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 10.32/2.51 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.51 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 10.32/2.51 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.51 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) ))).
% 10.32/2.51 thf(zf_stmt_16, negated_conjecture,
% 10.32/2.51 (( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.51 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) |
% 10.32/2.51 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.32/2.51 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.32/2.51 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.32/2.51 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.32/2.51 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.32/2.51 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.32/2.51 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 10.32/2.51 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 10.32/2.51 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.51 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 10.32/2.51 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.51 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 10.32/2.51 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.51 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 10.32/2.51 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.51 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) )),
% 10.32/2.51 inference('cnf.neg', [status(esa)], [clause253])).
% 10.32/2.51 thf(zip_derived_cl283, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.51 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 10.32/2.51 ( (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.32/2.51 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 10.32/2.51 | ~ (ssNder1_0)
% 10.32/2.51 | ~ (ssNder1_1r1 @ X0)
% 10.32/2.51 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 10.32/2.51 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 10.32/2.51 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 10.32/2.51 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 10.32/2.51 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 10.32/2.51 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 10.32/2.51 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.32/2.51 X7)
% 10.32/2.51 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.32/2.51 X6 @ X7 @ X8)
% 10.32/2.51 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.32/2.51 X6 @ X7 @ X8 @ X9)
% 10.32/2.51 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.32/2.51 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 10.32/2.51 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.32/2.51 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 10.32/2.51 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.32/2.51 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12))),
% 10.32/2.51 inference('cnf', [status(esa)], [zf_stmt_16])).
% 10.32/2.51 thf(zip_derived_cl535, plain, ( (ssNder1_0)),
% 10.32/2.51 inference('cnf', [status(esa)], [zf_stmt_1])).
% 10.32/2.51 thf(zip_derived_cl541, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 10.32/2.51 inference('demod', [status(thm)], [zip_derived_cl534, zip_derived_cl535])).
% 10.32/2.51 thf(zip_derived_cl542, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl533, zip_derived_cl535, zip_derived_cl541])).
% 10.32/2.51 thf(zip_derived_cl548, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl527, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.51 zip_derived_cl542])).
% 10.32/2.51 thf(zip_derived_cl568, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.32/2.51 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl519, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.51 zip_derived_cl542, zip_derived_cl548])).
% 10.32/2.51 thf(zip_derived_cl596, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 10.32/2.51 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl501, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.51 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568])).
% 10.32/2.51 thf(zip_derived_cl621, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 10.32/2.51 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl485, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.51 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.51 zip_derived_cl596])).
% 10.32/2.51 thf(zip_derived_cl653, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 10.32/2.51 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl464, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.51 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.51 zip_derived_cl596, zip_derived_cl621])).
% 10.32/2.51 thf(zip_derived_cl690, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 10.32/2.51 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl441, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.51 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.51 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653])).
% 10.32/2.51 thf(zip_derived_cl735, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.51 X7 : $i, X8 : $i]:
% 10.32/2.51 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.32/2.51 X7 @ X8)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl418, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.51 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.51 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653,
% 10.32/2.51 zip_derived_cl690])).
% 10.32/2.51 thf(zip_derived_cl777, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.51 X7 : $i, X8 : $i, X9 : $i]:
% 10.32/2.51 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.32/2.51 X7 @ X8 @ X9)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl396, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.51 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.51 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653,
% 10.32/2.51 zip_derived_cl690, zip_derived_cl735])).
% 10.32/2.51 thf(zip_derived_cl843, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.51 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 10.32/2.51 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.32/2.51 X6 @ X7 @ X8 @ X9 @ X10)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl372, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.51 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.51 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653,
% 10.32/2.51 zip_derived_cl690, zip_derived_cl735, zip_derived_cl777])).
% 10.32/2.51 thf(zip_derived_cl903, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.51 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 10.32/2.51 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.32/2.51 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl345, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.51 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.51 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653,
% 10.32/2.51 zip_derived_cl690, zip_derived_cl735, zip_derived_cl777,
% 10.32/2.51 zip_derived_cl843])).
% 10.32/2.51 thf(zip_derived_cl974, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.51 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 10.32/2.51 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.32/2.51 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl314, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.51 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.51 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653,
% 10.32/2.51 zip_derived_cl690, zip_derived_cl735, zip_derived_cl777,
% 10.32/2.51 zip_derived_cl843, zip_derived_cl903])).
% 10.32/2.51 thf(zip_derived_cl1021, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.51 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 10.32/2.51 (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.32/2.51 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl283, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.51 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.51 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653,
% 10.32/2.51 zip_derived_cl690, zip_derived_cl735, zip_derived_cl777,
% 10.32/2.51 zip_derived_cl843, zip_derived_cl903, zip_derived_cl974])).
% 10.32/2.51 thf(zip_derived_cl1078, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.51 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 10.32/2.51 X14 : $i]:
% 10.32/2.51 (ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.32/2.51 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ skc16)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl251, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.51 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.51 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653,
% 10.32/2.51 zip_derived_cl690, zip_derived_cl735, zip_derived_cl777,
% 10.32/2.51 zip_derived_cl843, zip_derived_cl903, zip_derived_cl974,
% 10.32/2.51 zip_derived_cl1021])).
% 10.32/2.51 thf(clause445, conjecture,
% 10.32/2.51 (~( ( ssPv5_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.51 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 10.32/2.51 X10 @ X11 @ X12 ) |
% 10.32/2.51 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.32/2.51 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 10.32/2.51 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.32/2.51 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.32/2.51 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.32/2.51 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.32/2.51 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.32/2.51 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 10.32/2.51 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 10.32/2.51 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.51 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 10.32/2.51 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.51 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 10.32/2.51 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.51 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 10.32/2.51 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.51 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 10.32/2.51 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.51 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 10.32/2.51 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.51 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 10.32/2.51 ( ~( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.51 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 10.32/2.51 X9 @ X10 ) ) |
% 10.32/2.51 ( ~( ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.51 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 10.32/2.51 X9 @ X10 ) ) |
% 10.32/2.51 ( ~( ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.51 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 10.32/2.51 X9 @ X10 @ X11 ) ) ))).
% 10.32/2.51 thf(zf_stmt_17, negated_conjecture,
% 10.32/2.51 (( ssPv5_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.51 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 10.32/2.51 X10 @ X11 @ X12 ) |
% 10.32/2.51 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.32/2.51 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.32/2.51 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.32/2.51 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.32/2.51 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.32/2.51 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.32/2.51 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 10.32/2.51 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 10.32/2.51 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.51 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 10.32/2.51 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.51 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 10.32/2.51 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.51 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 10.32/2.51 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.51 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 10.32/2.51 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.51 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 10.32/2.51 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.51 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 10.32/2.51 ( ~( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.51 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 10.32/2.51 X10 ) ) |
% 10.32/2.51 ( ~( ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.51 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 10.32/2.51 X10 ) ) |
% 10.32/2.51 ( ~( ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.51 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 10.32/2.51 X10 @ X11 ) )),
% 10.32/2.51 inference('cnf.neg', [status(esa)], [clause445])).
% 10.32/2.51 thf(zip_derived_cl91, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.51 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 10.32/2.51 X14 : $i, X15 : $i, X16 : $i, X17 : $i]:
% 10.32/2.51 ( (ssPv5_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.32/2.51 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @
% 10.32/2.51 X16 @ X17)
% 10.32/2.51 | ~ (ssNder1_0)
% 10.32/2.51 | ~ (ssNder1_1r1 @ X0)
% 10.32/2.51 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 10.32/2.51 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 10.32/2.51 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 10.32/2.51 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 10.32/2.51 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 10.32/2.51 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 10.32/2.51 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.32/2.51 X7)
% 10.32/2.51 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.32/2.51 X6 @ X7 @ X8)
% 10.32/2.51 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.32/2.51 X6 @ X7 @ X8 @ X9)
% 10.32/2.51 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.32/2.51 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 10.32/2.51 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.32/2.51 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 10.32/2.51 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.32/2.51 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 10.32/2.51 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.32/2.51 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 10.32/2.51 | ~ (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.32/2.51 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 10.32/2.51 | ~ (ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 10.32/2.51 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 10.32/2.51 X14 @ X15)
% 10.32/2.51 | ~ (ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.32/2.51 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15)
% 10.32/2.51 | ~ (ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 10.32/2.51 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 10.32/2.51 X14 @ X15 @ X16))),
% 10.32/2.51 inference('cnf', [status(esa)], [zf_stmt_17])).
% 10.32/2.51 thf(zip_derived_cl535, plain, ( (ssNder1_0)),
% 10.32/2.51 inference('cnf', [status(esa)], [zf_stmt_1])).
% 10.32/2.51 thf(zip_derived_cl541, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 10.32/2.51 inference('demod', [status(thm)], [zip_derived_cl534, zip_derived_cl535])).
% 10.32/2.51 thf(zip_derived_cl542, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl533, zip_derived_cl535, zip_derived_cl541])).
% 10.32/2.51 thf(zip_derived_cl548, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl527, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.51 zip_derived_cl542])).
% 10.32/2.51 thf(zip_derived_cl568, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.32/2.51 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl519, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.51 zip_derived_cl542, zip_derived_cl548])).
% 10.32/2.51 thf(zip_derived_cl596, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 10.32/2.51 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl501, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.51 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568])).
% 10.32/2.51 thf(zip_derived_cl621, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 10.32/2.51 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl485, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.51 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.51 zip_derived_cl596])).
% 10.32/2.51 thf(zip_derived_cl653, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 10.32/2.51 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl464, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.51 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.51 zip_derived_cl596, zip_derived_cl621])).
% 10.32/2.51 thf(zip_derived_cl690, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 10.32/2.51 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl441, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.51 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.51 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653])).
% 10.32/2.51 thf(zip_derived_cl735, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.51 X7 : $i, X8 : $i]:
% 10.32/2.51 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.32/2.51 X7 @ X8)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl418, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.51 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.51 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653,
% 10.32/2.51 zip_derived_cl690])).
% 10.32/2.51 thf(zip_derived_cl777, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.51 X7 : $i, X8 : $i, X9 : $i]:
% 10.32/2.51 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.32/2.51 X7 @ X8 @ X9)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl396, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.51 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.51 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653,
% 10.32/2.51 zip_derived_cl690, zip_derived_cl735])).
% 10.32/2.51 thf(zip_derived_cl843, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.51 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 10.32/2.51 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.32/2.51 X6 @ X7 @ X8 @ X9 @ X10)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl372, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.51 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.51 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653,
% 10.32/2.51 zip_derived_cl690, zip_derived_cl735, zip_derived_cl777])).
% 10.32/2.51 thf(zip_derived_cl903, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.51 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 10.32/2.51 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.32/2.51 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl345, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.51 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.51 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653,
% 10.32/2.51 zip_derived_cl690, zip_derived_cl735, zip_derived_cl777,
% 10.32/2.51 zip_derived_cl843])).
% 10.32/2.51 thf(zip_derived_cl974, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.51 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 10.32/2.51 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.32/2.51 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl314, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.51 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.51 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653,
% 10.32/2.51 zip_derived_cl690, zip_derived_cl735, zip_derived_cl777,
% 10.32/2.51 zip_derived_cl843, zip_derived_cl903])).
% 10.32/2.51 thf(zip_derived_cl1021, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.51 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 10.32/2.51 (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.32/2.51 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl283, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.51 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.51 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653,
% 10.32/2.51 zip_derived_cl690, zip_derived_cl735, zip_derived_cl777,
% 10.32/2.51 zip_derived_cl843, zip_derived_cl903, zip_derived_cl974])).
% 10.32/2.51 thf(clause284, conjecture,
% 10.32/2.51 (~( ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.51 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) |
% 10.32/2.51 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.32/2.51 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 10.32/2.51 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.32/2.51 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.32/2.51 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.32/2.51 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.32/2.51 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.32/2.51 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 10.32/2.51 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 10.32/2.51 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.51 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 10.32/2.51 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.51 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 10.32/2.51 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.51 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 10.32/2.51 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.51 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 10.32/2.51 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.51 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) ))).
% 10.32/2.51 thf(zf_stmt_18, negated_conjecture,
% 10.32/2.51 (( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.51 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) |
% 10.32/2.51 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.32/2.51 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.32/2.51 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.32/2.51 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.32/2.51 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.32/2.51 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.32/2.51 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 10.32/2.51 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 10.32/2.51 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.51 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 10.32/2.51 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.51 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 10.32/2.51 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.51 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 10.32/2.51 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.51 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 10.32/2.51 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.51 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) )),
% 10.32/2.51 inference('cnf.neg', [status(esa)], [clause284])).
% 10.32/2.51 thf(zip_derived_cl252, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.51 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 10.32/2.51 X14 : $i]:
% 10.32/2.51 ( (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.32/2.51 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 10.32/2.51 | ~ (ssNder1_0)
% 10.32/2.51 | ~ (ssNder1_1r1 @ X0)
% 10.32/2.51 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 10.32/2.51 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 10.32/2.51 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 10.32/2.51 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 10.32/2.51 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 10.32/2.51 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 10.32/2.51 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.32/2.51 X7)
% 10.32/2.51 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.32/2.51 X6 @ X7 @ X8)
% 10.32/2.51 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.32/2.51 X6 @ X7 @ X8 @ X9)
% 10.32/2.51 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.32/2.51 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 10.32/2.51 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.32/2.51 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 10.32/2.51 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.32/2.51 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 10.32/2.51 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.32/2.51 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13))),
% 10.32/2.51 inference('cnf', [status(esa)], [zf_stmt_18])).
% 10.32/2.51 thf(zip_derived_cl535, plain, ( (ssNder1_0)),
% 10.32/2.51 inference('cnf', [status(esa)], [zf_stmt_1])).
% 10.32/2.51 thf(zip_derived_cl541, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 10.32/2.51 inference('demod', [status(thm)], [zip_derived_cl534, zip_derived_cl535])).
% 10.32/2.51 thf(zip_derived_cl542, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl533, zip_derived_cl535, zip_derived_cl541])).
% 10.32/2.51 thf(zip_derived_cl548, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl527, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.51 zip_derived_cl542])).
% 10.32/2.51 thf(zip_derived_cl568, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.32/2.51 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl519, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.51 zip_derived_cl542, zip_derived_cl548])).
% 10.32/2.51 thf(zip_derived_cl596, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 10.32/2.51 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl501, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.51 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568])).
% 10.32/2.51 thf(zip_derived_cl621, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 10.32/2.51 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl485, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.51 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.51 zip_derived_cl596])).
% 10.32/2.51 thf(zip_derived_cl653, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 10.32/2.51 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl464, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.51 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.51 zip_derived_cl596, zip_derived_cl621])).
% 10.32/2.51 thf(zip_derived_cl690, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 10.32/2.51 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl441, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.51 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.51 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653])).
% 10.32/2.51 thf(zip_derived_cl735, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.51 X7 : $i, X8 : $i]:
% 10.32/2.51 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.32/2.51 X7 @ X8)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl418, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.51 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.51 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653,
% 10.32/2.51 zip_derived_cl690])).
% 10.32/2.51 thf(zip_derived_cl777, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.51 X7 : $i, X8 : $i, X9 : $i]:
% 10.32/2.51 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.32/2.51 X7 @ X8 @ X9)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl396, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.51 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.51 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653,
% 10.32/2.51 zip_derived_cl690, zip_derived_cl735])).
% 10.32/2.51 thf(zip_derived_cl843, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.51 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 10.32/2.51 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.32/2.51 X6 @ X7 @ X8 @ X9 @ X10)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl372, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.51 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.51 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653,
% 10.32/2.51 zip_derived_cl690, zip_derived_cl735, zip_derived_cl777])).
% 10.32/2.51 thf(zip_derived_cl903, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.51 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 10.32/2.51 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.32/2.51 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl345, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.51 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.51 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653,
% 10.32/2.51 zip_derived_cl690, zip_derived_cl735, zip_derived_cl777,
% 10.32/2.51 zip_derived_cl843])).
% 10.32/2.51 thf(zip_derived_cl974, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.51 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 10.32/2.51 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.32/2.51 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl314, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.51 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.51 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653,
% 10.32/2.51 zip_derived_cl690, zip_derived_cl735, zip_derived_cl777,
% 10.32/2.51 zip_derived_cl843, zip_derived_cl903])).
% 10.32/2.51 thf(zip_derived_cl1021, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.51 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 10.32/2.51 (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.32/2.51 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl283, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.51 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.51 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653,
% 10.32/2.51 zip_derived_cl690, zip_derived_cl735, zip_derived_cl777,
% 10.32/2.51 zip_derived_cl843, zip_derived_cl903, zip_derived_cl974])).
% 10.32/2.51 thf(zip_derived_cl1079, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.51 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 10.32/2.51 X14 : $i]:
% 10.32/2.51 (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.32/2.51 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl252, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.51 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.51 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653,
% 10.32/2.51 zip_derived_cl690, zip_derived_cl735, zip_derived_cl777,
% 10.32/2.51 zip_derived_cl843, zip_derived_cl903, zip_derived_cl974,
% 10.32/2.51 zip_derived_cl1021])).
% 10.32/2.51 thf(clause322, conjecture,
% 10.32/2.51 (~( ( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.51 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 10.32/2.51 X10 ) |
% 10.32/2.51 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.32/2.51 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 10.32/2.51 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.32/2.51 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.32/2.51 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.32/2.51 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.32/2.51 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.32/2.51 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 10.32/2.51 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 10.32/2.51 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.51 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 10.32/2.51 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.51 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 10.32/2.51 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.51 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 10.32/2.51 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.51 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 10.32/2.51 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.51 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 10.32/2.51 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.51 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) ))).
% 10.32/2.51 thf(zf_stmt_19, negated_conjecture,
% 10.32/2.51 (( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.51 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 ) |
% 10.32/2.51 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.32/2.51 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.32/2.51 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.32/2.51 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.32/2.51 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.32/2.51 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.32/2.51 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 10.32/2.51 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 10.32/2.51 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.51 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 10.32/2.51 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.51 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 10.32/2.51 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.51 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 10.32/2.51 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.51 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 10.32/2.51 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.51 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 10.32/2.51 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.51 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) )),
% 10.32/2.51 inference('cnf.neg', [status(esa)], [clause322])).
% 10.32/2.51 thf(zip_derived_cl214, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.51 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 10.32/2.51 X14 : $i, X15 : $i]:
% 10.32/2.51 ( (ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.32/2.51 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15)
% 10.32/2.51 | ~ (ssNder1_0)
% 10.32/2.51 | ~ (ssNder1_1r1 @ X0)
% 10.32/2.51 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 10.32/2.51 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 10.32/2.51 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 10.32/2.51 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 10.32/2.51 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 10.32/2.51 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 10.32/2.51 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.32/2.51 X7)
% 10.32/2.51 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.32/2.51 X6 @ X7 @ X8)
% 10.32/2.51 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.32/2.51 X6 @ X7 @ X8 @ X9)
% 10.32/2.51 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.32/2.51 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 10.32/2.51 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.32/2.51 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 10.32/2.51 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.32/2.51 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 10.32/2.51 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.32/2.51 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 10.32/2.51 | ~ (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.32/2.51 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14))),
% 10.32/2.51 inference('cnf', [status(esa)], [zf_stmt_19])).
% 10.32/2.51 thf(zip_derived_cl535, plain, ( (ssNder1_0)),
% 10.32/2.51 inference('cnf', [status(esa)], [zf_stmt_1])).
% 10.32/2.51 thf(zip_derived_cl541, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 10.32/2.51 inference('demod', [status(thm)], [zip_derived_cl534, zip_derived_cl535])).
% 10.32/2.51 thf(zip_derived_cl542, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl533, zip_derived_cl535, zip_derived_cl541])).
% 10.32/2.51 thf(zip_derived_cl548, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl527, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.51 zip_derived_cl542])).
% 10.32/2.51 thf(zip_derived_cl568, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.32/2.51 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl519, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.51 zip_derived_cl542, zip_derived_cl548])).
% 10.32/2.51 thf(zip_derived_cl596, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 10.32/2.51 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl501, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.51 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568])).
% 10.32/2.51 thf(zip_derived_cl621, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 10.32/2.51 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl485, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.51 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.51 zip_derived_cl596])).
% 10.32/2.51 thf(zip_derived_cl653, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 10.32/2.51 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl464, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.51 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.51 zip_derived_cl596, zip_derived_cl621])).
% 10.32/2.51 thf(zip_derived_cl690, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 10.32/2.51 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl441, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.51 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.51 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653])).
% 10.32/2.51 thf(zip_derived_cl735, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.51 X7 : $i, X8 : $i]:
% 10.32/2.51 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.32/2.51 X7 @ X8)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl418, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.51 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.51 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653,
% 10.32/2.51 zip_derived_cl690])).
% 10.32/2.51 thf(zip_derived_cl777, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.51 X7 : $i, X8 : $i, X9 : $i]:
% 10.32/2.51 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.32/2.51 X7 @ X8 @ X9)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl396, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.51 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.51 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653,
% 10.32/2.51 zip_derived_cl690, zip_derived_cl735])).
% 10.32/2.51 thf(zip_derived_cl843, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.51 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 10.32/2.51 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.32/2.51 X6 @ X7 @ X8 @ X9 @ X10)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl372, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.51 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.51 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653,
% 10.32/2.51 zip_derived_cl690, zip_derived_cl735, zip_derived_cl777])).
% 10.32/2.51 thf(zip_derived_cl903, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.51 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 10.32/2.51 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.32/2.51 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl345, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.51 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.51 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653,
% 10.32/2.51 zip_derived_cl690, zip_derived_cl735, zip_derived_cl777,
% 10.32/2.51 zip_derived_cl843])).
% 10.32/2.51 thf(zip_derived_cl974, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.51 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 10.32/2.51 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.32/2.51 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl314, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.51 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.51 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653,
% 10.32/2.51 zip_derived_cl690, zip_derived_cl735, zip_derived_cl777,
% 10.32/2.51 zip_derived_cl843, zip_derived_cl903])).
% 10.32/2.51 thf(zip_derived_cl1021, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.51 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 10.32/2.51 (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.32/2.51 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl283, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.51 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.51 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653,
% 10.32/2.51 zip_derived_cl690, zip_derived_cl735, zip_derived_cl777,
% 10.32/2.51 zip_derived_cl843, zip_derived_cl903, zip_derived_cl974])).
% 10.32/2.51 thf(zip_derived_cl1079, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.51 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 10.32/2.51 X14 : $i]:
% 10.32/2.51 (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.32/2.51 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl252, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.51 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.51 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653,
% 10.32/2.51 zip_derived_cl690, zip_derived_cl735, zip_derived_cl777,
% 10.32/2.51 zip_derived_cl843, zip_derived_cl903, zip_derived_cl974,
% 10.32/2.51 zip_derived_cl1021])).
% 10.32/2.51 thf(zip_derived_cl1147, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.51 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 10.32/2.51 X14 : $i, X15 : $i]:
% 10.32/2.51 (ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.32/2.51 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl214, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.51 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.51 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653,
% 10.32/2.51 zip_derived_cl690, zip_derived_cl735, zip_derived_cl777,
% 10.32/2.51 zip_derived_cl843, zip_derived_cl903, zip_derived_cl974,
% 10.32/2.51 zip_derived_cl1021, zip_derived_cl1079])).
% 10.32/2.51 thf(clause363, conjecture,
% 10.32/2.51 (~( ( ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.51 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 10.32/2.51 X10 @ X11 ) |
% 10.32/2.51 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.32/2.51 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 10.32/2.51 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.32/2.51 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.32/2.51 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.32/2.51 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.32/2.51 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.32/2.51 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 10.32/2.51 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 10.32/2.51 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.51 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 10.32/2.51 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.51 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 10.32/2.51 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.51 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 10.32/2.51 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.51 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 10.32/2.51 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.51 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 10.32/2.51 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.51 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 10.32/2.51 ( ~( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.51 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 10.32/2.51 X9 @ X10 ) ) ))).
% 10.32/2.51 thf(zf_stmt_20, negated_conjecture,
% 10.32/2.51 (( ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.51 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 10.32/2.51 X10 @ X11 ) |
% 10.32/2.51 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.32/2.51 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.32/2.51 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.32/2.51 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.32/2.51 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.32/2.51 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.32/2.51 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 10.32/2.51 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 10.32/2.51 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.51 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 10.32/2.51 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.51 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 10.32/2.51 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.51 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 10.32/2.51 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.51 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 10.32/2.51 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.51 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 10.32/2.51 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.51 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 10.32/2.51 ( ~( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.51 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 10.32/2.51 X10 ) )),
% 10.32/2.51 inference('cnf.neg', [status(esa)], [clause363])).
% 10.32/2.51 thf(zip_derived_cl173, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.51 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 10.32/2.51 X14 : $i, X15 : $i, X16 : $i]:
% 10.32/2.51 ( (ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.32/2.51 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @
% 10.32/2.51 X16)
% 10.32/2.51 | ~ (ssNder1_0)
% 10.32/2.51 | ~ (ssNder1_1r1 @ X0)
% 10.32/2.51 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 10.32/2.51 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 10.32/2.51 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 10.32/2.51 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 10.32/2.51 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 10.32/2.51 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 10.32/2.51 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.32/2.51 X7)
% 10.32/2.51 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.32/2.51 X6 @ X7 @ X8)
% 10.32/2.51 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.32/2.51 X6 @ X7 @ X8 @ X9)
% 10.32/2.51 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.32/2.51 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 10.32/2.51 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.32/2.51 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 10.32/2.51 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.32/2.51 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 10.32/2.51 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.32/2.51 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 10.32/2.51 | ~ (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.32/2.51 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 10.32/2.51 | ~ (ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 10.32/2.51 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 10.32/2.51 X14 @ X15))),
% 10.32/2.51 inference('cnf', [status(esa)], [zf_stmt_20])).
% 10.32/2.51 thf(zip_derived_cl535, plain, ( (ssNder1_0)),
% 10.32/2.51 inference('cnf', [status(esa)], [zf_stmt_1])).
% 10.32/2.51 thf(zip_derived_cl541, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 10.32/2.51 inference('demod', [status(thm)], [zip_derived_cl534, zip_derived_cl535])).
% 10.32/2.51 thf(zip_derived_cl542, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl533, zip_derived_cl535, zip_derived_cl541])).
% 10.32/2.51 thf(zip_derived_cl548, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl527, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.51 zip_derived_cl542])).
% 10.32/2.51 thf(zip_derived_cl568, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.32/2.51 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl519, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.51 zip_derived_cl542, zip_derived_cl548])).
% 10.32/2.51 thf(zip_derived_cl596, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 10.32/2.51 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl501, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.51 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568])).
% 10.32/2.51 thf(zip_derived_cl621, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 10.32/2.51 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl485, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.51 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.51 zip_derived_cl596])).
% 10.32/2.51 thf(zip_derived_cl653, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 10.32/2.51 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl464, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.51 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.51 zip_derived_cl596, zip_derived_cl621])).
% 10.32/2.51 thf(zip_derived_cl690, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 10.32/2.51 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl441, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.51 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.51 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653])).
% 10.32/2.51 thf(zip_derived_cl735, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.51 X7 : $i, X8 : $i]:
% 10.32/2.51 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.32/2.51 X7 @ X8)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl418, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.51 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.51 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653,
% 10.32/2.51 zip_derived_cl690])).
% 10.32/2.51 thf(zip_derived_cl777, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.51 X7 : $i, X8 : $i, X9 : $i]:
% 10.32/2.51 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.32/2.51 X7 @ X8 @ X9)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl396, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.51 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.51 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653,
% 10.32/2.51 zip_derived_cl690, zip_derived_cl735])).
% 10.32/2.51 thf(zip_derived_cl843, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.51 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 10.32/2.51 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.32/2.51 X6 @ X7 @ X8 @ X9 @ X10)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl372, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.51 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.51 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653,
% 10.32/2.51 zip_derived_cl690, zip_derived_cl735, zip_derived_cl777])).
% 10.32/2.51 thf(zip_derived_cl903, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.51 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 10.32/2.51 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.32/2.51 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl345, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.51 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.51 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653,
% 10.32/2.51 zip_derived_cl690, zip_derived_cl735, zip_derived_cl777,
% 10.32/2.51 zip_derived_cl843])).
% 10.32/2.51 thf(zip_derived_cl974, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.51 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 10.32/2.51 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.32/2.51 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl314, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.51 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.51 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653,
% 10.32/2.51 zip_derived_cl690, zip_derived_cl735, zip_derived_cl777,
% 10.32/2.51 zip_derived_cl843, zip_derived_cl903])).
% 10.32/2.51 thf(zip_derived_cl1021, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.51 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 10.32/2.51 (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.32/2.51 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl283, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.51 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.51 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653,
% 10.32/2.51 zip_derived_cl690, zip_derived_cl735, zip_derived_cl777,
% 10.32/2.51 zip_derived_cl843, zip_derived_cl903, zip_derived_cl974])).
% 10.32/2.51 thf(zip_derived_cl1079, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.51 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 10.32/2.51 X14 : $i]:
% 10.32/2.51 (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.32/2.51 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl252, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.51 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.51 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653,
% 10.32/2.51 zip_derived_cl690, zip_derived_cl735, zip_derived_cl777,
% 10.32/2.51 zip_derived_cl843, zip_derived_cl903, zip_derived_cl974,
% 10.32/2.51 zip_derived_cl1021])).
% 10.32/2.51 thf(zip_derived_cl1147, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.51 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 10.32/2.51 X14 : $i, X15 : $i]:
% 10.32/2.51 (ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.32/2.51 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl214, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.51 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.51 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653,
% 10.32/2.51 zip_derived_cl690, zip_derived_cl735, zip_derived_cl777,
% 10.32/2.51 zip_derived_cl843, zip_derived_cl903, zip_derived_cl974,
% 10.32/2.51 zip_derived_cl1021, zip_derived_cl1079])).
% 10.32/2.51 thf(zip_derived_cl1289, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.51 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 10.32/2.51 X14 : $i, X15 : $i, X16 : $i]:
% 10.32/2.51 (ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.32/2.51 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @
% 10.32/2.51 X16)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl173, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.51 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.51 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653,
% 10.32/2.51 zip_derived_cl690, zip_derived_cl735, zip_derived_cl777,
% 10.32/2.51 zip_derived_cl843, zip_derived_cl903, zip_derived_cl974,
% 10.32/2.51 zip_derived_cl1021, zip_derived_cl1079, zip_derived_cl1147])).
% 10.32/2.51 thf(zip_derived_cl1557, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.51 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 10.32/2.51 X14 : $i, X15 : $i, X16 : $i, X17 : $i]:
% 10.32/2.51 ( (ssPv5_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.32/2.51 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @
% 10.32/2.51 X16 @ X17)
% 10.32/2.51 | ~ (ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.32/2.51 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15))),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl91, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.51 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.51 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653,
% 10.32/2.51 zip_derived_cl690, zip_derived_cl735, zip_derived_cl777,
% 10.32/2.51 zip_derived_cl843, zip_derived_cl903, zip_derived_cl974,
% 10.32/2.51 zip_derived_cl1021, zip_derived_cl1079, zip_derived_cl1147,
% 10.32/2.51 zip_derived_cl1289])).
% 10.32/2.51 thf(clause517, conjecture,
% 10.32/2.51 (~( ( ssPv14_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.51 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 10.32/2.51 X10 @ X11 @ X12 ) |
% 10.32/2.51 ( ssPv3_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.51 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 10.32/2.51 X10 @ X11 @ X12 ) |
% 10.32/2.51 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.32/2.51 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 10.32/2.51 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.32/2.51 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.32/2.51 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.32/2.51 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.32/2.51 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.32/2.51 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 10.32/2.51 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 10.32/2.51 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.51 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 10.32/2.51 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.51 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 10.32/2.51 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.51 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 10.32/2.51 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.51 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 10.32/2.51 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.51 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 10.32/2.51 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.51 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 10.32/2.51 ( ~( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.51 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 10.32/2.51 X9 @ X10 ) ) |
% 10.32/2.51 ( ~( ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.51 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 10.32/2.51 X9 @ X10 @ X11 ) ) |
% 10.32/2.51 ( ~( ssPv20_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.51 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 10.32/2.51 X9 @ X10 @ X11 @ X12 ) ) |
% 10.32/2.51 ( ~( ssPv5_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.51 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 10.32/2.51 X9 @ X10 @ X11 @ X12 ) ) ))).
% 10.32/2.51 thf(zf_stmt_21, negated_conjecture,
% 10.32/2.51 (( ssPv14_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.51 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 10.32/2.51 X10 @ X11 @ X12 ) |
% 10.32/2.51 ( ssPv3_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.51 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 10.32/2.51 X10 @ X11 @ X12 ) |
% 10.32/2.51 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.32/2.51 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.32/2.51 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.32/2.51 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.32/2.51 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.32/2.51 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.32/2.51 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 10.32/2.51 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 10.32/2.51 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.51 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 10.32/2.51 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.51 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 10.32/2.51 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.51 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 10.32/2.51 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.51 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 10.32/2.51 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.51 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 10.32/2.51 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.51 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 10.32/2.51 ( ~( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.51 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 10.32/2.51 X10 ) ) |
% 10.32/2.51 ( ~( ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.51 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 10.32/2.51 X10 @ X11 ) ) |
% 10.32/2.51 ( ~( ssPv20_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.51 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 10.32/2.51 X10 @ X11 @ X12 ) ) |
% 10.32/2.51 ( ~( ssPv5_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.51 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 10.32/2.51 X10 @ X11 @ X12 ) )),
% 10.32/2.51 inference('cnf.neg', [status(esa)], [clause517])).
% 10.32/2.51 thf(zip_derived_cl19, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.51 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 10.32/2.51 X14 : $i, X15 : $i, X16 : $i, X17 : $i]:
% 10.32/2.51 ( (ssPv14_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 10.32/2.51 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @
% 10.32/2.51 X15 @ X16 @ X17)
% 10.32/2.51 | (ssPv3_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 10.32/2.51 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @
% 10.32/2.51 X15 @ X16 @ X17)
% 10.32/2.51 | ~ (ssNder1_0)
% 10.32/2.51 | ~ (ssNder1_1r1 @ X0)
% 10.32/2.51 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 10.32/2.51 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 10.32/2.51 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 10.32/2.51 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 10.32/2.51 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 10.32/2.51 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 10.32/2.51 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.32/2.51 X7)
% 10.32/2.51 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.32/2.51 X6 @ X7 @ X8)
% 10.32/2.51 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.32/2.51 X6 @ X7 @ X8 @ X9)
% 10.32/2.51 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.32/2.51 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 10.32/2.51 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.32/2.51 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 10.32/2.51 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.32/2.51 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 10.32/2.51 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.32/2.51 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 10.32/2.51 | ~ (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.32/2.51 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 10.32/2.51 | ~ (ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 10.32/2.51 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 10.32/2.51 X14 @ X15)
% 10.32/2.51 | ~ (ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 10.32/2.51 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 10.32/2.51 X14 @ X15 @ X16)
% 10.32/2.51 | ~ (ssPv20_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 10.32/2.51 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 10.32/2.51 X14 @ X15 @ X16 @ X17)
% 10.32/2.51 | ~ (ssPv5_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 10.32/2.51 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 10.32/2.51 X14 @ X15 @ X16 @ X17))),
% 10.32/2.51 inference('cnf', [status(esa)], [zf_stmt_21])).
% 10.32/2.51 thf(zip_derived_cl535, plain, ( (ssNder1_0)),
% 10.32/2.51 inference('cnf', [status(esa)], [zf_stmt_1])).
% 10.32/2.51 thf(zip_derived_cl541, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 10.32/2.51 inference('demod', [status(thm)], [zip_derived_cl534, zip_derived_cl535])).
% 10.32/2.51 thf(zip_derived_cl542, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl533, zip_derived_cl535, zip_derived_cl541])).
% 10.32/2.51 thf(zip_derived_cl548, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl527, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.51 zip_derived_cl542])).
% 10.32/2.51 thf(zip_derived_cl568, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.32/2.51 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl519, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.51 zip_derived_cl542, zip_derived_cl548])).
% 10.32/2.51 thf(zip_derived_cl596, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 10.32/2.51 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl501, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.51 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568])).
% 10.32/2.51 thf(zip_derived_cl621, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 10.32/2.51 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl485, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.51 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.51 zip_derived_cl596])).
% 10.32/2.51 thf(zip_derived_cl653, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 10.32/2.51 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl464, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.51 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.51 zip_derived_cl596, zip_derived_cl621])).
% 10.32/2.51 thf(zip_derived_cl690, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 10.32/2.51 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl441, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.51 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.51 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653])).
% 10.32/2.51 thf(zip_derived_cl735, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.51 X7 : $i, X8 : $i]:
% 10.32/2.51 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.32/2.51 X7 @ X8)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl418, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.51 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.51 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653,
% 10.32/2.51 zip_derived_cl690])).
% 10.32/2.51 thf(zip_derived_cl777, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.51 X7 : $i, X8 : $i, X9 : $i]:
% 10.32/2.51 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.32/2.51 X7 @ X8 @ X9)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl396, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.51 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.51 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653,
% 10.32/2.51 zip_derived_cl690, zip_derived_cl735])).
% 10.32/2.51 thf(zip_derived_cl843, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.51 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 10.32/2.51 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.32/2.51 X6 @ X7 @ X8 @ X9 @ X10)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl372, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.51 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.51 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653,
% 10.32/2.51 zip_derived_cl690, zip_derived_cl735, zip_derived_cl777])).
% 10.32/2.51 thf(zip_derived_cl903, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.51 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 10.32/2.51 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.32/2.51 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl345, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.51 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.51 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653,
% 10.32/2.51 zip_derived_cl690, zip_derived_cl735, zip_derived_cl777,
% 10.32/2.51 zip_derived_cl843])).
% 10.32/2.51 thf(zip_derived_cl974, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.51 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 10.32/2.51 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.32/2.51 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl314, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.51 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.51 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653,
% 10.32/2.51 zip_derived_cl690, zip_derived_cl735, zip_derived_cl777,
% 10.32/2.51 zip_derived_cl843, zip_derived_cl903])).
% 10.32/2.51 thf(zip_derived_cl1021, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.51 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 10.32/2.51 (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.32/2.51 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl283, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.51 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.51 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653,
% 10.32/2.51 zip_derived_cl690, zip_derived_cl735, zip_derived_cl777,
% 10.32/2.51 zip_derived_cl843, zip_derived_cl903, zip_derived_cl974])).
% 10.32/2.51 thf(zip_derived_cl1079, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.51 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 10.32/2.51 X14 : $i]:
% 10.32/2.51 (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.32/2.51 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl252, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.51 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.51 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653,
% 10.32/2.51 zip_derived_cl690, zip_derived_cl735, zip_derived_cl777,
% 10.32/2.51 zip_derived_cl843, zip_derived_cl903, zip_derived_cl974,
% 10.32/2.51 zip_derived_cl1021])).
% 10.32/2.51 thf(zip_derived_cl1147, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.51 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 10.32/2.51 X14 : $i, X15 : $i]:
% 10.32/2.51 (ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.32/2.51 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl214, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.51 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.51 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653,
% 10.32/2.51 zip_derived_cl690, zip_derived_cl735, zip_derived_cl777,
% 10.32/2.51 zip_derived_cl843, zip_derived_cl903, zip_derived_cl974,
% 10.32/2.51 zip_derived_cl1021, zip_derived_cl1079])).
% 10.32/2.51 thf(zip_derived_cl1289, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.51 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 10.32/2.51 X14 : $i, X15 : $i, X16 : $i]:
% 10.32/2.51 (ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.32/2.51 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @
% 10.32/2.51 X16)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl173, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.51 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.51 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653,
% 10.32/2.51 zip_derived_cl690, zip_derived_cl735, zip_derived_cl777,
% 10.32/2.51 zip_derived_cl843, zip_derived_cl903, zip_derived_cl974,
% 10.32/2.51 zip_derived_cl1021, zip_derived_cl1079, zip_derived_cl1147])).
% 10.32/2.51 thf(clause406, conjecture,
% 10.32/2.51 (~( ( ssPv20_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.51 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 10.32/2.51 X10 @ X11 @ X12 ) |
% 10.32/2.51 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.32/2.51 ( ~( ssPv20_1r1 @ U ) ) | ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 10.32/2.51 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.32/2.51 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.32/2.51 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.32/2.51 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.32/2.51 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.32/2.51 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 10.32/2.51 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 10.32/2.51 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.51 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 10.32/2.51 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.51 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 10.32/2.51 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.51 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 10.32/2.51 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.51 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 10.32/2.51 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.51 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 10.32/2.51 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.51 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 10.32/2.51 ( ~( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.51 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 10.32/2.51 X9 @ X10 ) ) |
% 10.32/2.51 ( ~( ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.51 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 10.32/2.51 X9 @ X10 @ X11 ) ) ))).
% 10.32/2.51 thf(zf_stmt_22, negated_conjecture,
% 10.32/2.51 (( ssPv20_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.51 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 10.32/2.51 X10 @ X11 @ X12 ) |
% 10.32/2.51 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) | ( ~( ssPv20_1r1 @ U ) ) |
% 10.32/2.51 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.32/2.51 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.32/2.51 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.32/2.51 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.32/2.51 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.32/2.51 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 10.32/2.51 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 10.32/2.51 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.51 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 10.32/2.51 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.51 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 10.32/2.51 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.51 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 10.32/2.51 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.51 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 10.32/2.51 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.51 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 10.32/2.51 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.51 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 10.32/2.51 ( ~( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.51 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 10.32/2.51 X10 ) ) |
% 10.32/2.51 ( ~( ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.51 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 10.32/2.51 X10 @ X11 ) )),
% 10.32/2.51 inference('cnf.neg', [status(esa)], [clause406])).
% 10.32/2.51 thf(zip_derived_cl130, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.51 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 10.32/2.51 X14 : $i, X15 : $i, X16 : $i, X17 : $i]:
% 10.32/2.51 ( (ssPv20_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 10.32/2.51 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @
% 10.32/2.51 X15 @ X16 @ X17)
% 10.32/2.51 | ~ (ssNder1_0)
% 10.32/2.51 | ~ (ssNder1_1r1 @ X0)
% 10.32/2.51 | ~ (ssPv20_1r1 @ X0)
% 10.32/2.51 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 10.32/2.51 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 10.32/2.51 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 10.32/2.51 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 10.32/2.51 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 10.32/2.51 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 10.32/2.51 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.32/2.51 X7)
% 10.32/2.51 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.32/2.51 X6 @ X7 @ X8)
% 10.32/2.51 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.32/2.51 X6 @ X7 @ X8 @ X9)
% 10.32/2.51 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.32/2.51 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 10.32/2.51 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.32/2.51 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 10.32/2.51 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.32/2.51 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 10.32/2.51 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.32/2.51 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 10.32/2.51 | ~ (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.32/2.51 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 10.32/2.51 | ~ (ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 10.32/2.51 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 10.32/2.51 X14 @ X15)
% 10.32/2.51 | ~ (ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 10.32/2.51 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 10.32/2.51 X14 @ X15 @ X16))),
% 10.32/2.51 inference('cnf', [status(esa)], [zf_stmt_22])).
% 10.32/2.51 thf(zip_derived_cl535, plain, ( (ssNder1_0)),
% 10.32/2.51 inference('cnf', [status(esa)], [zf_stmt_1])).
% 10.32/2.51 thf(zip_derived_cl541, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 10.32/2.51 inference('demod', [status(thm)], [zip_derived_cl534, zip_derived_cl535])).
% 10.32/2.51 thf(clause73, conjecture,
% 10.32/2.51 (~( ( ssPv13_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ skc24 ) |
% 10.32/2.51 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.32/2.51 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 10.32/2.51 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.32/2.51 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.32/2.51 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.32/2.51 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) ))).
% 10.32/2.51 thf(zf_stmt_23, negated_conjecture,
% 10.32/2.51 (( ssPv13_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ skc24 ) |
% 10.32/2.51 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.32/2.51 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.32/2.51 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.32/2.51 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.32/2.51 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) )),
% 10.32/2.51 inference('cnf.neg', [status(esa)], [clause73])).
% 10.32/2.51 thf(zip_derived_cl463, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 10.32/2.51 ( (ssPv13_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ skc24)
% 10.32/2.51 | ~ (ssNder1_0)
% 10.32/2.51 | ~ (ssNder1_1r1 @ X0)
% 10.32/2.51 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 10.32/2.51 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 10.32/2.51 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 10.32/2.51 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 10.32/2.51 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5))),
% 10.32/2.51 inference('cnf', [status(esa)], [zf_stmt_23])).
% 10.32/2.51 thf(zip_derived_cl535, plain, ( (ssNder1_0)),
% 10.32/2.51 inference('cnf', [status(esa)], [zf_stmt_1])).
% 10.32/2.51 thf(zip_derived_cl541, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 10.32/2.51 inference('demod', [status(thm)], [zip_derived_cl534, zip_derived_cl535])).
% 10.32/2.51 thf(zip_derived_cl542, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl533, zip_derived_cl535, zip_derived_cl541])).
% 10.32/2.51 thf(zip_derived_cl548, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl527, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.51 zip_derived_cl542])).
% 10.32/2.51 thf(zip_derived_cl568, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.32/2.51 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl519, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.51 zip_derived_cl542, zip_derived_cl548])).
% 10.32/2.51 thf(zip_derived_cl596, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 10.32/2.51 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl501, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.51 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568])).
% 10.32/2.51 thf(zip_derived_cl621, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 10.32/2.51 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl485, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.51 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.51 zip_derived_cl596])).
% 10.32/2.51 thf(zip_derived_cl664, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 10.32/2.51 (ssPv13_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ skc24)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl463, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.51 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.51 zip_derived_cl596, zip_derived_cl621])).
% 10.32/2.51 thf(clause161, conjecture,
% 10.32/2.51 (~( ( ssPv13_10r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.51 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) |
% 10.32/2.51 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.32/2.51 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 10.32/2.51 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.32/2.51 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.32/2.51 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.32/2.51 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.32/2.51 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.32/2.51 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 10.32/2.51 ( ~( ssPv13_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 10.32/2.51 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) ))).
% 10.32/2.51 thf(zf_stmt_24, negated_conjecture,
% 10.32/2.51 (( ssPv13_10r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.51 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) |
% 10.32/2.51 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.32/2.51 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.32/2.51 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.32/2.51 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.32/2.51 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.32/2.51 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.32/2.51 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 10.32/2.51 ( ~( ssPv13_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 10.32/2.51 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) )),
% 10.32/2.51 inference('cnf.neg', [status(esa)], [clause161])).
% 10.32/2.51 thf(zip_derived_cl375, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.51 X7 : $i, X8 : $i, X9 : $i]:
% 10.32/2.51 ( (ssPv13_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.32/2.51 X7 @ X8 @ X9)
% 10.32/2.51 | ~ (ssNder1_0)
% 10.32/2.51 | ~ (ssNder1_1r1 @ X0)
% 10.32/2.51 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 10.32/2.51 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 10.32/2.51 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 10.32/2.51 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 10.32/2.51 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 10.32/2.51 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 10.32/2.51 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.32/2.51 X7)
% 10.32/2.51 | ~ (ssPv13_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)
% 10.32/2.51 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.32/2.51 X6 @ X7 @ X8))),
% 10.32/2.51 inference('cnf', [status(esa)], [zf_stmt_24])).
% 10.32/2.51 thf(zip_derived_cl535, plain, ( (ssNder1_0)),
% 10.32/2.51 inference('cnf', [status(esa)], [zf_stmt_1])).
% 10.32/2.51 thf(zip_derived_cl541, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 10.32/2.51 inference('demod', [status(thm)], [zip_derived_cl534, zip_derived_cl535])).
% 10.32/2.51 thf(zip_derived_cl542, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl533, zip_derived_cl535, zip_derived_cl541])).
% 10.32/2.51 thf(zip_derived_cl548, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl527, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.51 zip_derived_cl542])).
% 10.32/2.51 thf(zip_derived_cl568, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.32/2.51 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl519, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.51 zip_derived_cl542, zip_derived_cl548])).
% 10.32/2.51 thf(zip_derived_cl596, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 10.32/2.51 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl501, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.51 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568])).
% 10.32/2.51 thf(zip_derived_cl621, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 10.32/2.51 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl485, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.51 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.51 zip_derived_cl596])).
% 10.32/2.51 thf(zip_derived_cl653, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 10.32/2.51 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl464, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.51 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.51 zip_derived_cl596, zip_derived_cl621])).
% 10.32/2.51 thf(zip_derived_cl690, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 10.32/2.51 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl441, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.51 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.51 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653])).
% 10.32/2.51 thf(zip_derived_cl735, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.51 X7 : $i, X8 : $i]:
% 10.32/2.51 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.32/2.51 X7 @ X8)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl418, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.51 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.51 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653,
% 10.32/2.51 zip_derived_cl690])).
% 10.32/2.51 thf(zip_derived_cl817, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.51 X7 : $i, X8 : $i, X9 : $i]:
% 10.32/2.51 ( (ssPv13_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.32/2.51 X7 @ X8 @ X9)
% 10.32/2.51 | ~ (ssPv13_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7))),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl375, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.51 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.51 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653,
% 10.32/2.51 zip_derived_cl690, zip_derived_cl735])).
% 10.32/2.51 thf(clause204, conjecture,
% 10.32/2.51 (~( ( ssPv20_10r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.51 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) |
% 10.32/2.51 ( ssPv16_10r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.51 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) |
% 10.32/2.51 ( ssPv11_10r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.51 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) |
% 10.32/2.51 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.32/2.51 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 10.32/2.51 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.32/2.51 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.32/2.51 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.32/2.51 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.32/2.51 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.32/2.51 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 10.32/2.51 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 10.32/2.51 ( ~( ssPv13_10r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.51 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) ))).
% 10.32/2.51 thf(zf_stmt_25, negated_conjecture,
% 10.32/2.51 (( ssPv20_10r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.51 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) |
% 10.32/2.51 ( ssPv16_10r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.51 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) |
% 10.32/2.51 ( ssPv11_10r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.51 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) |
% 10.32/2.51 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.32/2.51 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.32/2.51 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.32/2.51 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.32/2.51 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.32/2.51 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.32/2.51 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 10.32/2.51 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 10.32/2.51 ( ~( ssPv13_10r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.51 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) )),
% 10.32/2.51 inference('cnf.neg', [status(esa)], [clause204])).
% 10.32/2.51 thf(zip_derived_cl332, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.51 X7 : $i, X8 : $i, X9 : $i]:
% 10.32/2.51 ( (ssPv20_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.32/2.51 X7 @ X8 @ X9)
% 10.32/2.51 | (ssPv16_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.32/2.51 X6 @ X7 @ X8 @ X9)
% 10.32/2.51 | (ssPv11_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.32/2.51 X6 @ X7 @ X8 @ X9)
% 10.32/2.51 | ~ (ssNder1_0)
% 10.32/2.51 | ~ (ssNder1_1r1 @ X0)
% 10.32/2.51 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 10.32/2.51 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 10.32/2.51 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 10.32/2.51 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 10.32/2.51 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 10.32/2.51 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 10.32/2.51 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.32/2.51 X7)
% 10.32/2.51 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.32/2.51 X6 @ X7 @ X8)
% 10.32/2.51 | ~ (ssPv13_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.32/2.51 X6 @ X7 @ X8 @ X9))),
% 10.32/2.51 inference('cnf', [status(esa)], [zf_stmt_25])).
% 10.32/2.51 thf(zip_derived_cl535, plain, ( (ssNder1_0)),
% 10.32/2.51 inference('cnf', [status(esa)], [zf_stmt_1])).
% 10.32/2.51 thf(zip_derived_cl541, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 10.32/2.51 inference('demod', [status(thm)], [zip_derived_cl534, zip_derived_cl535])).
% 10.32/2.51 thf(zip_derived_cl542, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl533, zip_derived_cl535, zip_derived_cl541])).
% 10.32/2.51 thf(zip_derived_cl548, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl527, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.51 zip_derived_cl542])).
% 10.32/2.51 thf(zip_derived_cl568, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.32/2.51 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl519, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.51 zip_derived_cl542, zip_derived_cl548])).
% 10.32/2.51 thf(zip_derived_cl596, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 10.32/2.51 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl501, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.51 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568])).
% 10.32/2.51 thf(zip_derived_cl621, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 10.32/2.51 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl485, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.51 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.51 zip_derived_cl596])).
% 10.32/2.51 thf(zip_derived_cl653, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 10.32/2.51 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl464, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.51 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.51 zip_derived_cl596, zip_derived_cl621])).
% 10.32/2.51 thf(zip_derived_cl690, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 10.32/2.51 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl441, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.51 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.51 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653])).
% 10.32/2.51 thf(zip_derived_cl735, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.51 X7 : $i, X8 : $i]:
% 10.32/2.51 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.32/2.51 X7 @ X8)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl418, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.51 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.51 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653,
% 10.32/2.51 zip_derived_cl690])).
% 10.32/2.51 thf(zip_derived_cl889, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.51 X7 : $i, X8 : $i, X9 : $i]:
% 10.32/2.51 ( (ssPv20_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.32/2.51 X7 @ X8 @ X9)
% 10.32/2.51 | (ssPv16_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.32/2.51 X6 @ X7 @ X8 @ X9)
% 10.32/2.51 | (ssPv11_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.32/2.51 X6 @ X7 @ X8 @ X9)
% 10.32/2.51 | ~ (ssPv13_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.32/2.51 X6 @ X7 @ X8 @ X9))),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl332, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.51 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.51 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653,
% 10.32/2.51 zip_derived_cl690, zip_derived_cl735])).
% 10.32/2.51 thf(clause254, conjecture,
% 10.32/2.51 (~( ( ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.51 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ skc18 ) |
% 10.32/2.51 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.32/2.51 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 10.32/2.51 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.32/2.51 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.32/2.51 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.32/2.51 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.32/2.51 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.32/2.51 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 10.32/2.51 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 10.32/2.51 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.51 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 10.32/2.51 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.51 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 10.32/2.51 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.51 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 10.32/2.51 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.51 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) ))).
% 10.32/2.51 thf(zf_stmt_26, negated_conjecture,
% 10.32/2.51 (( ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.51 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ skc18 ) |
% 10.32/2.51 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.32/2.51 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.32/2.51 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.32/2.51 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.32/2.51 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.32/2.51 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.32/2.51 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 10.32/2.51 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 10.32/2.51 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.51 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 10.32/2.51 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.51 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 10.32/2.51 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.51 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 10.32/2.51 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.51 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) )),
% 10.32/2.51 inference('cnf.neg', [status(esa)], [clause254])).
% 10.32/2.51 thf(zip_derived_cl282, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.51 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 10.32/2.51 ( (ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.32/2.51 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ skc18)
% 10.32/2.51 | ~ (ssNder1_0)
% 10.32/2.51 | ~ (ssNder1_1r1 @ X0)
% 10.32/2.51 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 10.32/2.51 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 10.32/2.51 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 10.32/2.51 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 10.32/2.51 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 10.32/2.51 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 10.32/2.51 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.32/2.51 X7)
% 10.32/2.51 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.32/2.51 X6 @ X7 @ X8)
% 10.32/2.51 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.32/2.51 X6 @ X7 @ X8 @ X9)
% 10.32/2.51 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.32/2.51 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 10.32/2.51 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.32/2.51 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 10.32/2.51 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.32/2.51 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12))),
% 10.32/2.51 inference('cnf', [status(esa)], [zf_stmt_26])).
% 10.32/2.51 thf(zip_derived_cl535, plain, ( (ssNder1_0)),
% 10.32/2.51 inference('cnf', [status(esa)], [zf_stmt_1])).
% 10.32/2.51 thf(zip_derived_cl541, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 10.32/2.51 inference('demod', [status(thm)], [zip_derived_cl534, zip_derived_cl535])).
% 10.32/2.51 thf(zip_derived_cl542, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl533, zip_derived_cl535, zip_derived_cl541])).
% 10.32/2.51 thf(zip_derived_cl548, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl527, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.51 zip_derived_cl542])).
% 10.32/2.51 thf(zip_derived_cl568, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.32/2.51 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl519, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.51 zip_derived_cl542, zip_derived_cl548])).
% 10.32/2.51 thf(zip_derived_cl596, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 10.32/2.51 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl501, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.51 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568])).
% 10.32/2.51 thf(zip_derived_cl621, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 10.32/2.51 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl485, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.51 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.51 zip_derived_cl596])).
% 10.32/2.51 thf(zip_derived_cl653, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 10.32/2.51 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl464, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.51 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.51 zip_derived_cl596, zip_derived_cl621])).
% 10.32/2.51 thf(zip_derived_cl690, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 10.32/2.51 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl441, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.51 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.51 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653])).
% 10.32/2.51 thf(zip_derived_cl735, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.51 X7 : $i, X8 : $i]:
% 10.32/2.51 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.32/2.51 X7 @ X8)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl418, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.51 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.51 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653,
% 10.32/2.51 zip_derived_cl690])).
% 10.32/2.51 thf(zip_derived_cl777, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.51 X7 : $i, X8 : $i, X9 : $i]:
% 10.32/2.51 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.32/2.51 X7 @ X8 @ X9)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl396, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.51 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.51 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653,
% 10.32/2.51 zip_derived_cl690, zip_derived_cl735])).
% 10.32/2.51 thf(zip_derived_cl843, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.51 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 10.32/2.51 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.32/2.51 X6 @ X7 @ X8 @ X9 @ X10)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl372, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.51 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.51 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653,
% 10.32/2.51 zip_derived_cl690, zip_derived_cl735, zip_derived_cl777])).
% 10.32/2.51 thf(zip_derived_cl903, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.51 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 10.32/2.51 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.32/2.51 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl345, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.51 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.51 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653,
% 10.32/2.51 zip_derived_cl690, zip_derived_cl735, zip_derived_cl777,
% 10.32/2.51 zip_derived_cl843])).
% 10.32/2.51 thf(zip_derived_cl974, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.51 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 10.32/2.51 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.32/2.51 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl314, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.51 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.51 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653,
% 10.32/2.51 zip_derived_cl690, zip_derived_cl735, zip_derived_cl777,
% 10.32/2.51 zip_derived_cl843, zip_derived_cl903])).
% 10.32/2.51 thf(zip_derived_cl1036, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.51 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 10.32/2.51 (ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.32/2.51 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ skc18)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl282, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.51 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.51 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653,
% 10.32/2.51 zip_derived_cl690, zip_derived_cl735, zip_derived_cl777,
% 10.32/2.51 zip_derived_cl843, zip_derived_cl903, zip_derived_cl974])).
% 10.32/2.51 thf(clause310, conjecture,
% 10.32/2.51 (~( ( ssPv11_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.51 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) |
% 10.32/2.51 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.32/2.51 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 10.32/2.51 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.32/2.51 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.32/2.51 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.32/2.51 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.32/2.51 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.32/2.51 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 10.32/2.51 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 10.32/2.51 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.51 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 10.32/2.51 ( ~( ssPv11_10r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.51 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 10.32/2.51 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.51 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 10.32/2.51 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.51 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 10.32/2.51 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.51 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 10.32/2.51 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.51 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) ))).
% 10.32/2.51 thf(zf_stmt_27, negated_conjecture,
% 10.32/2.51 (( ssPv11_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.51 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) |
% 10.32/2.51 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.32/2.51 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.32/2.51 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.32/2.51 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.32/2.51 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.32/2.51 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.32/2.51 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 10.32/2.51 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 10.32/2.51 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.51 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 10.32/2.51 ( ~( ssPv11_10r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.51 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 10.32/2.51 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.51 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 10.32/2.51 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.51 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 10.32/2.51 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.51 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 10.32/2.51 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.51 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) )),
% 10.32/2.51 inference('cnf.neg', [status(esa)], [clause310])).
% 10.32/2.51 thf(zip_derived_cl226, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.51 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 10.32/2.51 X14 : $i]:
% 10.32/2.51 ( (ssPv11_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.32/2.51 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 10.32/2.51 | ~ (ssNder1_0)
% 10.32/2.51 | ~ (ssNder1_1r1 @ X0)
% 10.32/2.51 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 10.32/2.51 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 10.32/2.51 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 10.32/2.51 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 10.32/2.51 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 10.32/2.51 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 10.32/2.51 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.32/2.51 X7)
% 10.32/2.51 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.32/2.51 X6 @ X7 @ X8)
% 10.32/2.51 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.32/2.51 X6 @ X7 @ X8 @ X9)
% 10.32/2.51 | ~ (ssPv11_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.32/2.51 X6 @ X7 @ X8 @ X9)
% 10.32/2.51 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.32/2.51 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 10.32/2.51 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.32/2.51 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 10.32/2.51 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.32/2.51 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 10.32/2.51 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.32/2.51 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13))),
% 10.32/2.51 inference('cnf', [status(esa)], [zf_stmt_27])).
% 10.32/2.51 thf(zip_derived_cl535, plain, ( (ssNder1_0)),
% 10.32/2.51 inference('cnf', [status(esa)], [zf_stmt_1])).
% 10.32/2.51 thf(zip_derived_cl541, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 10.32/2.51 inference('demod', [status(thm)], [zip_derived_cl534, zip_derived_cl535])).
% 10.32/2.51 thf(zip_derived_cl542, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl533, zip_derived_cl535, zip_derived_cl541])).
% 10.32/2.51 thf(zip_derived_cl548, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl527, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.51 zip_derived_cl542])).
% 10.32/2.51 thf(zip_derived_cl568, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.32/2.51 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl519, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.51 zip_derived_cl542, zip_derived_cl548])).
% 10.32/2.51 thf(zip_derived_cl596, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 10.32/2.51 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl501, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.51 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568])).
% 10.32/2.51 thf(zip_derived_cl621, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 10.32/2.51 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl485, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.51 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.51 zip_derived_cl596])).
% 10.32/2.51 thf(zip_derived_cl653, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 10.32/2.51 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl464, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.51 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.51 zip_derived_cl596, zip_derived_cl621])).
% 10.32/2.51 thf(zip_derived_cl690, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 10.32/2.51 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl441, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.51 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.51 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653])).
% 10.32/2.51 thf(zip_derived_cl735, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.51 X7 : $i, X8 : $i]:
% 10.32/2.51 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.32/2.51 X7 @ X8)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl418, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.51 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.51 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653,
% 10.32/2.51 zip_derived_cl690])).
% 10.32/2.51 thf(zip_derived_cl777, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.51 X7 : $i, X8 : $i, X9 : $i]:
% 10.32/2.51 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.32/2.51 X7 @ X8 @ X9)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl396, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.51 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.51 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653,
% 10.32/2.51 zip_derived_cl690, zip_derived_cl735])).
% 10.32/2.51 thf(zip_derived_cl843, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.51 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 10.32/2.51 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.32/2.51 X6 @ X7 @ X8 @ X9 @ X10)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl372, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.51 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.51 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653,
% 10.32/2.51 zip_derived_cl690, zip_derived_cl735, zip_derived_cl777])).
% 10.32/2.51 thf(zip_derived_cl903, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.51 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 10.32/2.51 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.32/2.51 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl345, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.51 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.51 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653,
% 10.32/2.51 zip_derived_cl690, zip_derived_cl735, zip_derived_cl777,
% 10.32/2.51 zip_derived_cl843])).
% 10.32/2.51 thf(zip_derived_cl974, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.51 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 10.32/2.51 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.32/2.51 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl314, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.51 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.51 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653,
% 10.32/2.51 zip_derived_cl690, zip_derived_cl735, zip_derived_cl777,
% 10.32/2.51 zip_derived_cl843, zip_derived_cl903])).
% 10.32/2.51 thf(zip_derived_cl1021, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.51 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 10.32/2.51 (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.32/2.51 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl283, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.51 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.51 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653,
% 10.32/2.51 zip_derived_cl690, zip_derived_cl735, zip_derived_cl777,
% 10.32/2.51 zip_derived_cl843, zip_derived_cl903, zip_derived_cl974])).
% 10.32/2.51 thf(zip_derived_cl1118, plain,
% 10.32/2.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.51 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 10.32/2.51 X14 : $i]:
% 10.32/2.51 ( (ssPv11_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.32/2.51 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 10.32/2.51 | ~ (ssPv11_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.32/2.51 X6 @ X7 @ X8 @ X9))),
% 10.32/2.51 inference('demod', [status(thm)],
% 10.32/2.51 [zip_derived_cl226, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.51 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.51 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653,
% 10.32/2.51 zip_derived_cl690, zip_derived_cl735, zip_derived_cl777,
% 10.32/2.51 zip_derived_cl843, zip_derived_cl903, zip_derived_cl974,
% 10.32/2.51 zip_derived_cl1021])).
% 10.32/2.51 thf(clause386, conjecture,
% 10.32/2.51 (~( ( ssPv19_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.51 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) |
% 10.32/2.51 ( ssPv15_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.51 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) |
% 10.32/2.51 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.32/2.51 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 10.32/2.51 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.32/2.51 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.32/2.51 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.32/2.51 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.32/2.51 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.32/2.51 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 10.32/2.51 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 10.32/2.51 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.51 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 10.32/2.51 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.51 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 10.32/2.51 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.51 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 10.32/2.51 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.51 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 10.32/2.51 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.51 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 10.32/2.51 ( ~( ssPv11_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.51 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 10.32/2.51 ( ~( ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.51 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) ))).
% 10.32/2.51 thf(zf_stmt_28, negated_conjecture,
% 10.32/2.51 (( ssPv19_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.51 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) |
% 10.32/2.51 ( ssPv15_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.51 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) |
% 10.32/2.51 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.32/2.51 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.32/2.51 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.32/2.51 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.32/2.51 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.32/2.51 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.32/2.51 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 10.32/2.51 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 10.32/2.51 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.51 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 10.32/2.51 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.51 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 10.32/2.51 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.51 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 10.32/2.51 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.51 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 10.32/2.51 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.51 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 10.32/2.51 ( ~( ssPv11_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.51 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 10.32/2.52 ( ~( ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.52 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) )),
% 10.32/2.52 inference('cnf.neg', [status(esa)], [clause386])).
% 10.32/2.52 thf(zip_derived_cl150, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.52 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 10.32/2.52 X14 : $i]:
% 10.32/2.52 ( (ssPv19_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.32/2.52 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 10.32/2.52 | (ssPv15_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.32/2.52 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 10.32/2.52 | ~ (ssNder1_0)
% 10.32/2.52 | ~ (ssNder1_1r1 @ X0)
% 10.32/2.52 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 10.32/2.52 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 10.32/2.52 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 10.32/2.52 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 10.32/2.52 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 10.32/2.52 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 10.32/2.52 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.32/2.52 X7)
% 10.32/2.52 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.32/2.52 X6 @ X7 @ X8)
% 10.32/2.52 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.32/2.52 X6 @ X7 @ X8 @ X9)
% 10.32/2.52 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.32/2.52 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 10.32/2.52 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.32/2.52 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 10.32/2.52 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.32/2.52 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 10.32/2.52 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.32/2.52 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 10.32/2.52 | ~ (ssPv11_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.32/2.52 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 10.32/2.52 | ~ (ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.32/2.52 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14))),
% 10.32/2.52 inference('cnf', [status(esa)], [zf_stmt_28])).
% 10.32/2.52 thf(zip_derived_cl535, plain, ( (ssNder1_0)),
% 10.32/2.52 inference('cnf', [status(esa)], [zf_stmt_1])).
% 10.32/2.52 thf(zip_derived_cl541, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 10.32/2.52 inference('demod', [status(thm)], [zip_derived_cl534, zip_derived_cl535])).
% 10.32/2.52 thf(zip_derived_cl542, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl533, zip_derived_cl535, zip_derived_cl541])).
% 10.32/2.52 thf(zip_derived_cl548, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl527, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.52 zip_derived_cl542])).
% 10.32/2.52 thf(zip_derived_cl568, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.32/2.52 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl519, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.52 zip_derived_cl542, zip_derived_cl548])).
% 10.32/2.52 thf(zip_derived_cl596, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 10.32/2.52 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl501, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.52 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568])).
% 10.32/2.52 thf(zip_derived_cl621, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 10.32/2.52 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl485, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.52 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.52 zip_derived_cl596])).
% 10.32/2.52 thf(zip_derived_cl653, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 10.32/2.52 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl464, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.52 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.52 zip_derived_cl596, zip_derived_cl621])).
% 10.32/2.52 thf(zip_derived_cl690, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 10.32/2.52 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl441, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.52 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.52 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653])).
% 10.32/2.52 thf(zip_derived_cl735, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.52 X7 : $i, X8 : $i]:
% 10.32/2.52 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.32/2.52 X7 @ X8)),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl418, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.52 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.52 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653,
% 10.32/2.52 zip_derived_cl690])).
% 10.32/2.52 thf(zip_derived_cl777, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.52 X7 : $i, X8 : $i, X9 : $i]:
% 10.32/2.52 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.32/2.52 X7 @ X8 @ X9)),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl396, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.52 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.52 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653,
% 10.32/2.52 zip_derived_cl690, zip_derived_cl735])).
% 10.32/2.52 thf(zip_derived_cl843, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.52 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 10.32/2.52 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.32/2.52 X6 @ X7 @ X8 @ X9 @ X10)),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl372, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.52 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.52 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653,
% 10.32/2.52 zip_derived_cl690, zip_derived_cl735, zip_derived_cl777])).
% 10.32/2.52 thf(zip_derived_cl903, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.52 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 10.32/2.52 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.32/2.52 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl345, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.52 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.52 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653,
% 10.32/2.52 zip_derived_cl690, zip_derived_cl735, zip_derived_cl777,
% 10.32/2.52 zip_derived_cl843])).
% 10.32/2.52 thf(zip_derived_cl974, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.52 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 10.32/2.52 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.32/2.52 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl314, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.52 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.52 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653,
% 10.32/2.52 zip_derived_cl690, zip_derived_cl735, zip_derived_cl777,
% 10.32/2.52 zip_derived_cl843, zip_derived_cl903])).
% 10.32/2.52 thf(zip_derived_cl1021, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.52 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 10.32/2.52 (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.32/2.52 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl283, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.52 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.52 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653,
% 10.32/2.52 zip_derived_cl690, zip_derived_cl735, zip_derived_cl777,
% 10.32/2.52 zip_derived_cl843, zip_derived_cl903, zip_derived_cl974])).
% 10.32/2.52 thf(zip_derived_cl1324, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.52 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 10.32/2.52 X14 : $i]:
% 10.32/2.52 ( (ssPv19_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.32/2.52 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 10.32/2.52 | (ssPv15_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.32/2.52 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 10.32/2.52 | ~ (ssPv11_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.32/2.52 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 10.32/2.52 | ~ (ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.32/2.52 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14))),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl150, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.52 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.52 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653,
% 10.32/2.52 zip_derived_cl690, zip_derived_cl735, zip_derived_cl777,
% 10.32/2.52 zip_derived_cl843, zip_derived_cl903, zip_derived_cl974,
% 10.32/2.52 zip_derived_cl1021])).
% 10.32/2.52 thf(zip_derived_cl1325, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.52 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 10.32/2.52 X14 : $i]:
% 10.32/2.52 (~ (ssPv11_10r1r1r1r1r1r1r1r1r1r1 @ X14 @ X13 @ X12 @ X11 @ X10 @
% 10.32/2.52 X9 @ X8 @ X7 @ X6 @ X5)
% 10.32/2.52 | ~ (ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X14 @ X13 @ X12 @
% 10.32/2.52 X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 10.32/2.52 | (ssPv15_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X14 @ X13 @ X12 @
% 10.32/2.52 X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 10.32/2.52 | (ssPv19_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X14 @ X13 @ X12 @
% 10.32/2.52 X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0))),
% 10.32/2.52 inference('sup-', [status(thm)], [zip_derived_cl1118, zip_derived_cl1324])).
% 10.32/2.52 thf(clause297, conjecture,
% 10.32/2.52 (~( ( ssPv15_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) |
% 10.32/2.52 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.32/2.52 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 10.32/2.52 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.32/2.52 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.32/2.52 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.32/2.52 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.32/2.52 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.32/2.52 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 10.32/2.52 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 10.32/2.52 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.52 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 10.32/2.52 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.52 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 10.32/2.52 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.52 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 10.32/2.52 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.52 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 10.32/2.52 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.52 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 10.32/2.52 ( ~( ssPv15_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.52 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) ))).
% 10.32/2.52 thf(zf_stmt_29, negated_conjecture,
% 10.32/2.52 (( ssPv15_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) | ( ~( ssNder1_0 ) ) |
% 10.32/2.52 ( ~( ssNder1_1r1 @ U ) ) | ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 10.32/2.52 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.32/2.52 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.32/2.52 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.32/2.52 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.32/2.52 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.32/2.52 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 10.32/2.52 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 10.32/2.52 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.52 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 10.32/2.52 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.52 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 10.32/2.52 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.52 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 10.32/2.52 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.52 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 10.32/2.52 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.52 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 10.32/2.52 ( ~( ssPv15_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.52 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) )),
% 10.32/2.52 inference('cnf.neg', [status(esa)], [clause297])).
% 10.32/2.52 thf(zip_derived_cl239, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.52 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 10.32/2.52 X14 : $i]:
% 10.32/2.52 ( (ssPv15_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 10.32/2.52 | ~ (ssNder1_0)
% 10.32/2.52 | ~ (ssNder1_1r1 @ X0)
% 10.32/2.52 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 10.32/2.52 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 10.32/2.52 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 10.32/2.52 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 10.32/2.52 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 10.32/2.52 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 10.32/2.52 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.32/2.52 X7)
% 10.32/2.52 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.32/2.52 X6 @ X7 @ X8)
% 10.32/2.52 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.32/2.52 X6 @ X7 @ X8 @ X9)
% 10.32/2.52 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.32/2.52 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 10.32/2.52 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.32/2.52 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 10.32/2.52 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.32/2.52 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 10.32/2.52 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.32/2.52 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 10.32/2.52 | ~ (ssPv15_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.32/2.52 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14))),
% 10.32/2.52 inference('cnf', [status(esa)], [zf_stmt_29])).
% 10.32/2.52 thf(zip_derived_cl535, plain, ( (ssNder1_0)),
% 10.32/2.52 inference('cnf', [status(esa)], [zf_stmt_1])).
% 10.32/2.52 thf(zip_derived_cl541, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 10.32/2.52 inference('demod', [status(thm)], [zip_derived_cl534, zip_derived_cl535])).
% 10.32/2.52 thf(zip_derived_cl542, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl533, zip_derived_cl535, zip_derived_cl541])).
% 10.32/2.52 thf(zip_derived_cl548, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl527, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.52 zip_derived_cl542])).
% 10.32/2.52 thf(zip_derived_cl568, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.32/2.52 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl519, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.52 zip_derived_cl542, zip_derived_cl548])).
% 10.32/2.52 thf(zip_derived_cl596, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 10.32/2.52 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl501, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.52 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568])).
% 10.32/2.52 thf(zip_derived_cl621, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 10.32/2.52 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl485, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.52 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.52 zip_derived_cl596])).
% 10.32/2.52 thf(zip_derived_cl653, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 10.32/2.52 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl464, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.52 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.52 zip_derived_cl596, zip_derived_cl621])).
% 10.32/2.52 thf(zip_derived_cl690, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 10.32/2.52 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl441, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.52 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.52 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653])).
% 10.32/2.52 thf(zip_derived_cl735, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.52 X7 : $i, X8 : $i]:
% 10.32/2.52 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.32/2.52 X7 @ X8)),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl418, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.52 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.52 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653,
% 10.32/2.52 zip_derived_cl690])).
% 10.32/2.52 thf(zip_derived_cl777, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.52 X7 : $i, X8 : $i, X9 : $i]:
% 10.32/2.52 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.32/2.52 X7 @ X8 @ X9)),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl396, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.52 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.52 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653,
% 10.32/2.52 zip_derived_cl690, zip_derived_cl735])).
% 10.32/2.52 thf(zip_derived_cl843, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.52 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 10.32/2.52 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.32/2.52 X6 @ X7 @ X8 @ X9 @ X10)),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl372, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.52 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.52 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653,
% 10.32/2.52 zip_derived_cl690, zip_derived_cl735, zip_derived_cl777])).
% 10.32/2.52 thf(zip_derived_cl903, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.52 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 10.32/2.52 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.32/2.52 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl345, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.52 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.52 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653,
% 10.32/2.52 zip_derived_cl690, zip_derived_cl735, zip_derived_cl777,
% 10.32/2.52 zip_derived_cl843])).
% 10.32/2.52 thf(zip_derived_cl974, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.52 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 10.32/2.52 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.32/2.52 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl314, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.52 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.52 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653,
% 10.32/2.52 zip_derived_cl690, zip_derived_cl735, zip_derived_cl777,
% 10.32/2.52 zip_derived_cl843, zip_derived_cl903])).
% 10.32/2.52 thf(zip_derived_cl1021, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.52 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 10.32/2.52 (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.32/2.52 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl283, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.52 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.52 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653,
% 10.32/2.52 zip_derived_cl690, zip_derived_cl735, zip_derived_cl777,
% 10.32/2.52 zip_derived_cl843, zip_derived_cl903, zip_derived_cl974])).
% 10.32/2.52 thf(zip_derived_cl1077, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.52 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 10.32/2.52 X14 : $i]:
% 10.32/2.52 ( (ssPv15_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 10.32/2.52 | ~ (ssPv15_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.32/2.52 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14))),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl239, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.52 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.52 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653,
% 10.32/2.52 zip_derived_cl690, zip_derived_cl735, zip_derived_cl777,
% 10.32/2.52 zip_derived_cl843, zip_derived_cl903, zip_derived_cl974,
% 10.32/2.52 zip_derived_cl1021])).
% 10.32/2.52 thf(zip_derived_cl1326, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.52 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 10.32/2.52 X14 : $i]:
% 10.32/2.52 ( (ssPv19_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X14 @ X13 @ X12 @ X11 @
% 10.32/2.52 X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 10.32/2.52 | ~ (ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X14 @ X13 @ X12 @
% 10.32/2.52 X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 10.32/2.52 | ~ (ssPv11_10r1r1r1r1r1r1r1r1r1r1 @ X14 @ X13 @ X12 @ X11 @ X10 @
% 10.32/2.52 X9 @ X8 @ X7 @ X6 @ X5)
% 10.32/2.52 | (ssPv15_6r1r1r1r1r1r1 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9))),
% 10.32/2.52 inference('sup-', [status(thm)], [zip_derived_cl1325, zip_derived_cl1077])).
% 10.32/2.52 thf(clause290, conjecture,
% 10.32/2.52 (~( ( ssPv19_2r1r1 @ U @ V ) | ( ~( ssNder1_0 ) ) |
% 10.32/2.52 ( ~( ssNder1_1r1 @ U ) ) | ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 10.32/2.52 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.32/2.52 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.32/2.52 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.32/2.52 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.32/2.52 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.32/2.52 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 10.32/2.52 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 10.32/2.52 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.52 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 10.32/2.52 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.52 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 10.32/2.52 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.52 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 10.32/2.52 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.52 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 10.32/2.52 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.52 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 10.32/2.52 ( ~( ssPv19_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.52 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) ))).
% 10.32/2.52 thf(zf_stmt_30, negated_conjecture,
% 10.32/2.52 (( ssPv19_2r1r1 @ U @ V ) | ( ~( ssNder1_0 ) ) |
% 10.32/2.52 ( ~( ssNder1_1r1 @ U ) ) | ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 10.32/2.52 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.32/2.52 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.32/2.52 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.32/2.52 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.32/2.52 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.32/2.52 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 10.32/2.52 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 10.32/2.52 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.52 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 10.32/2.52 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.52 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 10.32/2.52 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.52 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 10.32/2.52 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.52 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 10.32/2.52 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.52 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 10.32/2.52 ( ~( ssPv19_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.52 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) )),
% 10.32/2.52 inference('cnf.neg', [status(esa)], [clause290])).
% 10.32/2.52 thf(zip_derived_cl246, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.52 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 10.32/2.52 X14 : $i]:
% 10.32/2.52 ( (ssPv19_2r1r1 @ X0 @ X1)
% 10.32/2.52 | ~ (ssNder1_0)
% 10.32/2.52 | ~ (ssNder1_1r1 @ X0)
% 10.32/2.52 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 10.32/2.52 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 10.32/2.52 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 10.32/2.52 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 10.32/2.52 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 10.32/2.52 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 10.32/2.52 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.32/2.52 X7)
% 10.32/2.52 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.32/2.52 X6 @ X7 @ X8)
% 10.32/2.52 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.32/2.52 X6 @ X7 @ X8 @ X9)
% 10.32/2.52 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.32/2.52 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 10.32/2.52 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.32/2.52 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 10.32/2.52 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.32/2.52 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 10.32/2.52 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.32/2.52 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 10.32/2.52 | ~ (ssPv19_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.32/2.52 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14))),
% 10.32/2.52 inference('cnf', [status(esa)], [zf_stmt_30])).
% 10.32/2.52 thf(zip_derived_cl535, plain, ( (ssNder1_0)),
% 10.32/2.52 inference('cnf', [status(esa)], [zf_stmt_1])).
% 10.32/2.52 thf(zip_derived_cl541, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 10.32/2.52 inference('demod', [status(thm)], [zip_derived_cl534, zip_derived_cl535])).
% 10.32/2.52 thf(zip_derived_cl542, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl533, zip_derived_cl535, zip_derived_cl541])).
% 10.32/2.52 thf(zip_derived_cl548, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl527, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.52 zip_derived_cl542])).
% 10.32/2.52 thf(zip_derived_cl568, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.32/2.52 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl519, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.52 zip_derived_cl542, zip_derived_cl548])).
% 10.32/2.52 thf(zip_derived_cl596, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 10.32/2.52 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl501, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.52 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568])).
% 10.32/2.52 thf(zip_derived_cl621, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 10.32/2.52 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl485, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.52 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.52 zip_derived_cl596])).
% 10.32/2.52 thf(zip_derived_cl653, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 10.32/2.52 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl464, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.52 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.52 zip_derived_cl596, zip_derived_cl621])).
% 10.32/2.52 thf(zip_derived_cl690, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 10.32/2.52 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl441, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.52 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.52 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653])).
% 10.32/2.52 thf(zip_derived_cl735, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.52 X7 : $i, X8 : $i]:
% 10.32/2.52 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.32/2.52 X7 @ X8)),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl418, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.52 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.52 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653,
% 10.32/2.52 zip_derived_cl690])).
% 10.32/2.52 thf(zip_derived_cl777, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.52 X7 : $i, X8 : $i, X9 : $i]:
% 10.32/2.52 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.32/2.52 X7 @ X8 @ X9)),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl396, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.52 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.52 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653,
% 10.32/2.52 zip_derived_cl690, zip_derived_cl735])).
% 10.32/2.52 thf(zip_derived_cl843, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.52 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 10.32/2.52 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.32/2.52 X6 @ X7 @ X8 @ X9 @ X10)),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl372, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.52 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.52 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653,
% 10.32/2.52 zip_derived_cl690, zip_derived_cl735, zip_derived_cl777])).
% 10.32/2.52 thf(zip_derived_cl903, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.52 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 10.32/2.52 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.32/2.52 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl345, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.52 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.52 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653,
% 10.32/2.52 zip_derived_cl690, zip_derived_cl735, zip_derived_cl777,
% 10.32/2.52 zip_derived_cl843])).
% 10.32/2.52 thf(zip_derived_cl974, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.52 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 10.32/2.52 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.32/2.52 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl314, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.52 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.52 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653,
% 10.32/2.52 zip_derived_cl690, zip_derived_cl735, zip_derived_cl777,
% 10.32/2.52 zip_derived_cl843, zip_derived_cl903])).
% 10.32/2.52 thf(zip_derived_cl1021, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.52 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 10.32/2.52 (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.32/2.52 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl283, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.52 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.52 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653,
% 10.32/2.52 zip_derived_cl690, zip_derived_cl735, zip_derived_cl777,
% 10.32/2.52 zip_derived_cl843, zip_derived_cl903, zip_derived_cl974])).
% 10.32/2.52 thf(zip_derived_cl1059, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.52 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 10.32/2.52 X14 : $i]:
% 10.32/2.52 ( (ssPv19_2r1r1 @ X0 @ X1)
% 10.32/2.52 | ~ (ssPv19_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.32/2.52 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14))),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl246, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.52 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.52 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653,
% 10.32/2.52 zip_derived_cl690, zip_derived_cl735, zip_derived_cl777,
% 10.32/2.52 zip_derived_cl843, zip_derived_cl903, zip_derived_cl974,
% 10.32/2.52 zip_derived_cl1021])).
% 10.32/2.52 thf(zip_derived_cl1328, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.52 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 10.32/2.52 X14 : $i]:
% 10.32/2.52 ( (ssPv15_6r1r1r1r1r1r1 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9)
% 10.32/2.52 | ~ (ssPv11_10r1r1r1r1r1r1r1r1r1r1 @ X14 @ X13 @ X12 @ X11 @ X10 @
% 10.32/2.52 X9 @ X8 @ X7 @ X6 @ X5)
% 10.32/2.52 | ~ (ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X14 @ X13 @ X12 @
% 10.32/2.52 X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 10.32/2.52 | (ssPv19_2r1r1 @ X14 @ X13))),
% 10.32/2.52 inference('sup-', [status(thm)], [zip_derived_cl1326, zip_derived_cl1059])).
% 10.32/2.52 thf(zip_derived_cl1330, plain,
% 10.32/2.52 (![X4 : $i, X5 : $i, X6 : $i, X7 : $i, X8 : $i, X9 : $i, X10 : $i,
% 10.32/2.52 X11 : $i, X12 : $i, X13 : $i]:
% 10.32/2.52 ( (ssPv19_2r1r1 @ X13 @ X12)
% 10.32/2.52 | ~ (ssPv11_10r1r1r1r1r1r1r1r1r1r1 @ X13 @ X12 @ X11 @ X10 @ X9 @
% 10.32/2.52 X8 @ X7 @ X6 @ X5 @ X4)
% 10.32/2.52 | (ssPv15_6r1r1r1r1r1r1 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8))),
% 10.32/2.52 inference('sup-', [status(thm)], [zip_derived_cl1036, zip_derived_cl1328])).
% 10.32/2.52 thf(zip_derived_cl1331, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.52 X7 : $i, X8 : $i, X9 : $i]:
% 10.32/2.52 (~ (ssPv13_10r1r1r1r1r1r1r1r1r1r1 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @
% 10.32/2.52 X3 @ X2 @ X1 @ X0)
% 10.32/2.52 | (ssPv16_10r1r1r1r1r1r1r1r1r1r1 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @
% 10.32/2.52 X3 @ X2 @ X1 @ X0)
% 10.32/2.52 | (ssPv20_10r1r1r1r1r1r1r1r1r1r1 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @
% 10.32/2.52 X3 @ X2 @ X1 @ X0)
% 10.32/2.52 | (ssPv15_6r1r1r1r1r1r1 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4)
% 10.32/2.52 | (ssPv19_2r1r1 @ X9 @ X8))),
% 10.32/2.52 inference('sup-', [status(thm)], [zip_derived_cl889, zip_derived_cl1330])).
% 10.32/2.52 thf(zip_derived_cl1338, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.52 X7 : $i, X8 : $i, X9 : $i]:
% 10.32/2.52 (~ (ssPv13_8r1r1r1r1r1r1r1r1 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2)
% 10.32/2.52 | (ssPv19_2r1r1 @ X9 @ X8)
% 10.32/2.52 | (ssPv15_6r1r1r1r1r1r1 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4)
% 10.32/2.52 | (ssPv20_10r1r1r1r1r1r1r1r1r1r1 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @
% 10.32/2.52 X3 @ X2 @ X1 @ X0)
% 10.32/2.52 | (ssPv16_10r1r1r1r1r1r1r1r1r1r1 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @
% 10.32/2.52 X3 @ X2 @ X1 @ X0))),
% 10.32/2.52 inference('sup-', [status(thm)], [zip_derived_cl817, zip_derived_cl1331])).
% 10.32/2.52 thf(clause152, conjecture,
% 10.32/2.52 (~( ( ssPv16_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) | ( ~( ssNder1_0 ) ) |
% 10.32/2.52 ( ~( ssNder1_1r1 @ U ) ) | ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 10.32/2.52 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.32/2.52 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.32/2.52 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.32/2.52 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.32/2.52 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.32/2.52 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 10.32/2.52 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 10.32/2.52 ( ~( ssPv16_10r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.52 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) ))).
% 10.32/2.52 thf(zf_stmt_31, negated_conjecture,
% 10.32/2.52 (( ssPv16_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) | ( ~( ssNder1_0 ) ) |
% 10.32/2.52 ( ~( ssNder1_1r1 @ U ) ) | ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 10.32/2.52 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.32/2.52 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.32/2.52 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.32/2.52 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.32/2.52 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.32/2.52 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 10.32/2.52 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 10.32/2.52 ( ~( ssPv16_10r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.52 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) )),
% 10.32/2.52 inference('cnf.neg', [status(esa)], [clause152])).
% 10.32/2.52 thf(zip_derived_cl384, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.52 X7 : $i, X8 : $i, X9 : $i]:
% 10.32/2.52 ( (ssPv16_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 10.32/2.52 | ~ (ssNder1_0)
% 10.32/2.52 | ~ (ssNder1_1r1 @ X0)
% 10.32/2.52 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 10.32/2.52 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 10.32/2.52 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 10.32/2.52 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 10.32/2.52 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 10.32/2.52 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 10.32/2.52 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.32/2.52 X7)
% 10.32/2.52 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.32/2.52 X6 @ X7 @ X8)
% 10.32/2.52 | ~ (ssPv16_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.32/2.52 X6 @ X7 @ X8 @ X9))),
% 10.32/2.52 inference('cnf', [status(esa)], [zf_stmt_31])).
% 10.32/2.52 thf(zip_derived_cl535, plain, ( (ssNder1_0)),
% 10.32/2.52 inference('cnf', [status(esa)], [zf_stmt_1])).
% 10.32/2.52 thf(zip_derived_cl541, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 10.32/2.52 inference('demod', [status(thm)], [zip_derived_cl534, zip_derived_cl535])).
% 10.32/2.52 thf(zip_derived_cl542, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl533, zip_derived_cl535, zip_derived_cl541])).
% 10.32/2.52 thf(zip_derived_cl548, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl527, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.52 zip_derived_cl542])).
% 10.32/2.52 thf(zip_derived_cl568, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.32/2.52 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl519, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.52 zip_derived_cl542, zip_derived_cl548])).
% 10.32/2.52 thf(zip_derived_cl596, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 10.32/2.52 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl501, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.52 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568])).
% 10.32/2.52 thf(zip_derived_cl621, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 10.32/2.52 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl485, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.52 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.52 zip_derived_cl596])).
% 10.32/2.52 thf(zip_derived_cl653, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 10.32/2.52 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl464, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.52 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.52 zip_derived_cl596, zip_derived_cl621])).
% 10.32/2.52 thf(zip_derived_cl690, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 10.32/2.52 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl441, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.52 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.52 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653])).
% 10.32/2.52 thf(zip_derived_cl735, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.52 X7 : $i, X8 : $i]:
% 10.32/2.52 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.32/2.52 X7 @ X8)),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl418, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.52 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.52 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653,
% 10.32/2.52 zip_derived_cl690])).
% 10.32/2.52 thf(zip_derived_cl786, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.52 X7 : $i, X8 : $i, X9 : $i]:
% 10.32/2.52 ( (ssPv16_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 10.32/2.52 | ~ (ssPv16_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.32/2.52 X6 @ X7 @ X8 @ X9))),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl384, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.52 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.52 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653,
% 10.32/2.52 zip_derived_cl690, zip_derived_cl735])).
% 10.32/2.52 thf(zip_derived_cl1339, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.52 X7 : $i, X8 : $i, X9 : $i]:
% 10.32/2.52 ( (ssPv20_10r1r1r1r1r1r1r1r1r1r1 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @
% 10.32/2.52 X2 @ X1 @ X0)
% 10.32/2.52 | (ssPv15_6r1r1r1r1r1r1 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4)
% 10.32/2.52 | (ssPv19_2r1r1 @ X9 @ X8)
% 10.32/2.52 | ~ (ssPv13_8r1r1r1r1r1r1r1r1 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2)
% 10.32/2.52 | (ssPv16_5r1r1r1r1r1 @ X9 @ X8 @ X7 @ X6 @ X5))),
% 10.32/2.52 inference('sup-', [status(thm)], [zip_derived_cl1338, zip_derived_cl786])).
% 10.32/2.52 thf(clause141, conjecture,
% 10.32/2.52 (~( ( ssPv20_1r1 @ U ) | ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.32/2.52 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 10.32/2.52 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.32/2.52 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.32/2.52 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.32/2.52 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.32/2.52 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.32/2.52 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 10.32/2.52 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 10.32/2.52 ( ~( ssPv20_10r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.52 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) ))).
% 10.32/2.52 thf(zf_stmt_32, negated_conjecture,
% 10.32/2.52 (( ssPv20_1r1 @ U ) | ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.32/2.52 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.32/2.52 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.32/2.52 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.32/2.52 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.32/2.52 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.32/2.52 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 10.32/2.52 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 10.32/2.52 ( ~( ssPv20_10r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.52 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) )),
% 10.32/2.52 inference('cnf.neg', [status(esa)], [clause141])).
% 10.32/2.52 thf(zip_derived_cl395, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.52 X7 : $i, X8 : $i, X9 : $i]:
% 10.32/2.52 ( (ssPv20_1r1 @ X0)
% 10.32/2.52 | ~ (ssNder1_0)
% 10.32/2.52 | ~ (ssNder1_1r1 @ X0)
% 10.32/2.52 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 10.32/2.52 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 10.32/2.52 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 10.32/2.52 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 10.32/2.52 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 10.32/2.52 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 10.32/2.52 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.32/2.52 X7)
% 10.32/2.52 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.32/2.52 X6 @ X7 @ X8)
% 10.32/2.52 | ~ (ssPv20_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.32/2.52 X6 @ X7 @ X8 @ X9))),
% 10.32/2.52 inference('cnf', [status(esa)], [zf_stmt_32])).
% 10.32/2.52 thf(zip_derived_cl535, plain, ( (ssNder1_0)),
% 10.32/2.52 inference('cnf', [status(esa)], [zf_stmt_1])).
% 10.32/2.52 thf(zip_derived_cl541, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 10.32/2.52 inference('demod', [status(thm)], [zip_derived_cl534, zip_derived_cl535])).
% 10.32/2.52 thf(zip_derived_cl542, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl533, zip_derived_cl535, zip_derived_cl541])).
% 10.32/2.52 thf(zip_derived_cl548, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl527, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.52 zip_derived_cl542])).
% 10.32/2.52 thf(zip_derived_cl568, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.32/2.52 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl519, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.52 zip_derived_cl542, zip_derived_cl548])).
% 10.32/2.52 thf(zip_derived_cl596, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 10.32/2.52 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl501, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.52 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568])).
% 10.32/2.52 thf(zip_derived_cl621, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 10.32/2.52 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl485, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.52 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.52 zip_derived_cl596])).
% 10.32/2.52 thf(zip_derived_cl653, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 10.32/2.52 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl464, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.52 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.52 zip_derived_cl596, zip_derived_cl621])).
% 10.32/2.52 thf(zip_derived_cl690, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 10.32/2.52 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl441, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.52 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.52 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653])).
% 10.32/2.52 thf(zip_derived_cl735, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.52 X7 : $i, X8 : $i]:
% 10.32/2.52 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.32/2.52 X7 @ X8)),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl418, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.52 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.52 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653,
% 10.32/2.52 zip_derived_cl690])).
% 10.32/2.52 thf(zip_derived_cl757, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.52 X7 : $i, X8 : $i, X9 : $i]:
% 10.32/2.52 ( (ssPv20_1r1 @ X0)
% 10.32/2.52 | ~ (ssPv20_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.32/2.52 X6 @ X7 @ X8 @ X9))),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl395, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.52 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.52 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653,
% 10.32/2.52 zip_derived_cl690, zip_derived_cl735])).
% 10.32/2.52 thf(zip_derived_cl1340, plain,
% 10.32/2.52 (![X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i, X8 : $i, X9 : $i]:
% 10.32/2.52 ( (ssPv16_5r1r1r1r1r1 @ X9 @ X8 @ X7 @ X6 @ X5)
% 10.32/2.52 | ~ (ssPv13_8r1r1r1r1r1r1r1r1 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2)
% 10.32/2.52 | (ssPv19_2r1r1 @ X9 @ X8)
% 10.32/2.52 | (ssPv15_6r1r1r1r1r1r1 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4)
% 10.32/2.52 | (ssPv20_1r1 @ X9))),
% 10.32/2.52 inference('sup-', [status(thm)], [zip_derived_cl1339, zip_derived_cl757])).
% 10.32/2.52 thf(clause36, conjecture,
% 10.32/2.52 (~( ( ssPv15_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ skc28 ) |
% 10.32/2.52 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.32/2.52 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 10.32/2.52 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.32/2.52 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) ))).
% 10.32/2.52 thf(zf_stmt_33, negated_conjecture,
% 10.32/2.52 (( ssPv15_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ skc28 ) |
% 10.32/2.52 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.32/2.52 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.32/2.52 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) )),
% 10.32/2.52 inference('cnf.neg', [status(esa)], [clause36])).
% 10.32/2.52 thf(zip_derived_cl500, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 10.32/2.52 ( (ssPv15_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ skc28)
% 10.32/2.52 | ~ (ssNder1_0)
% 10.32/2.52 | ~ (ssNder1_1r1 @ X0)
% 10.32/2.52 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 10.32/2.52 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 10.32/2.52 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3))),
% 10.32/2.52 inference('cnf', [status(esa)], [zf_stmt_33])).
% 10.32/2.52 thf(zip_derived_cl535, plain, ( (ssNder1_0)),
% 10.32/2.52 inference('cnf', [status(esa)], [zf_stmt_1])).
% 10.32/2.52 thf(zip_derived_cl541, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 10.32/2.52 inference('demod', [status(thm)], [zip_derived_cl534, zip_derived_cl535])).
% 10.32/2.52 thf(zip_derived_cl542, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl533, zip_derived_cl535, zip_derived_cl541])).
% 10.32/2.52 thf(zip_derived_cl548, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl527, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.52 zip_derived_cl542])).
% 10.32/2.52 thf(zip_derived_cl568, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.32/2.52 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl519, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.52 zip_derived_cl542, zip_derived_cl548])).
% 10.32/2.52 thf(zip_derived_cl610, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 10.32/2.52 (ssPv15_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ skc28)),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl500, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.52 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568])).
% 10.32/2.52 thf(zip_derived_cl664, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 10.32/2.52 (ssPv13_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ skc24)),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl463, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.52 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.52 zip_derived_cl596, zip_derived_cl621])).
% 10.32/2.52 thf(clause146, conjecture,
% 10.32/2.52 (~( ( ssPv20_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) |
% 10.32/2.52 ( ssPv16_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) |
% 10.32/2.52 ( ssPv11_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) |
% 10.32/2.52 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.32/2.52 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 10.32/2.52 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.32/2.52 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.32/2.52 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.32/2.52 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.32/2.52 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.32/2.52 ( ~( ssPv13_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) ))).
% 10.32/2.52 thf(zf_stmt_34, negated_conjecture,
% 10.32/2.52 (( ssPv20_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) |
% 10.32/2.52 ( ssPv16_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) |
% 10.32/2.52 ( ssPv11_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) |
% 10.32/2.52 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.32/2.52 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.32/2.52 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.32/2.52 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.32/2.52 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.32/2.52 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.32/2.52 ( ~( ssPv13_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) )),
% 10.32/2.52 inference('cnf.neg', [status(esa)], [clause146])).
% 10.32/2.52 thf(zip_derived_cl390, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 10.32/2.52 ( (ssPv20_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)
% 10.32/2.52 | (ssPv16_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)
% 10.32/2.52 | (ssPv11_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)
% 10.32/2.52 | ~ (ssNder1_0)
% 10.32/2.52 | ~ (ssNder1_1r1 @ X0)
% 10.32/2.52 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 10.32/2.52 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 10.32/2.52 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 10.32/2.52 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 10.32/2.52 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 10.32/2.52 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 10.32/2.52 | ~ (ssPv13_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7))),
% 10.32/2.52 inference('cnf', [status(esa)], [zf_stmt_34])).
% 10.32/2.52 thf(zip_derived_cl535, plain, ( (ssNder1_0)),
% 10.32/2.52 inference('cnf', [status(esa)], [zf_stmt_1])).
% 10.32/2.52 thf(zip_derived_cl541, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 10.32/2.52 inference('demod', [status(thm)], [zip_derived_cl534, zip_derived_cl535])).
% 10.32/2.52 thf(zip_derived_cl542, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl533, zip_derived_cl535, zip_derived_cl541])).
% 10.32/2.52 thf(zip_derived_cl548, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl527, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.52 zip_derived_cl542])).
% 10.32/2.52 thf(zip_derived_cl568, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.32/2.52 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl519, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.52 zip_derived_cl542, zip_derived_cl548])).
% 10.32/2.52 thf(zip_derived_cl596, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 10.32/2.52 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl501, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.52 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568])).
% 10.32/2.52 thf(zip_derived_cl621, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 10.32/2.52 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl485, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.52 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.52 zip_derived_cl596])).
% 10.32/2.52 thf(zip_derived_cl653, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 10.32/2.52 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl464, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.52 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.52 zip_derived_cl596, zip_derived_cl621])).
% 10.32/2.52 thf(zip_derived_cl819, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 10.32/2.52 ( (ssPv20_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)
% 10.32/2.52 | (ssPv16_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)
% 10.32/2.52 | (ssPv11_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)
% 10.32/2.52 | ~ (ssPv13_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7))),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl390, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.52 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.52 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653])).
% 10.32/2.52 thf(clause115, conjecture,
% 10.32/2.52 (~( ( ssPv15_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) |
% 10.32/2.52 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.32/2.52 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 10.32/2.52 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.32/2.52 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.32/2.52 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.32/2.52 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.32/2.52 ( ~( ssPv15_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.32/2.52 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) ))).
% 10.32/2.52 thf(zf_stmt_35, negated_conjecture,
% 10.32/2.52 (( ssPv15_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) |
% 10.32/2.52 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.32/2.52 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.32/2.52 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.32/2.52 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.32/2.52 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.32/2.52 ( ~( ssPv15_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.32/2.52 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) )),
% 10.32/2.52 inference('cnf.neg', [status(esa)], [clause115])).
% 10.32/2.52 thf(zip_derived_cl421, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 10.32/2.52 ( (ssPv15_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)
% 10.32/2.52 | ~ (ssNder1_0)
% 10.32/2.52 | ~ (ssNder1_1r1 @ X0)
% 10.32/2.52 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 10.32/2.52 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 10.32/2.52 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 10.32/2.52 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 10.32/2.52 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 10.32/2.52 | ~ (ssPv15_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 10.32/2.52 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6))),
% 10.32/2.52 inference('cnf', [status(esa)], [zf_stmt_35])).
% 10.32/2.52 thf(zip_derived_cl535, plain, ( (ssNder1_0)),
% 10.32/2.52 inference('cnf', [status(esa)], [zf_stmt_1])).
% 10.32/2.52 thf(zip_derived_cl541, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 10.32/2.52 inference('demod', [status(thm)], [zip_derived_cl534, zip_derived_cl535])).
% 10.32/2.52 thf(zip_derived_cl542, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl533, zip_derived_cl535, zip_derived_cl541])).
% 10.32/2.52 thf(zip_derived_cl548, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl527, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.52 zip_derived_cl542])).
% 10.32/2.52 thf(zip_derived_cl568, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.32/2.52 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl519, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.52 zip_derived_cl542, zip_derived_cl548])).
% 10.32/2.52 thf(zip_derived_cl596, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 10.32/2.52 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl501, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.52 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568])).
% 10.32/2.52 thf(zip_derived_cl621, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 10.32/2.52 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl485, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.52 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.52 zip_derived_cl596])).
% 10.32/2.52 thf(zip_derived_cl653, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 10.32/2.52 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl464, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.52 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.52 zip_derived_cl596, zip_derived_cl621])).
% 10.32/2.52 thf(zip_derived_cl719, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 10.32/2.52 ( (ssPv15_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)
% 10.32/2.52 | ~ (ssPv15_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5))),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl421, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.52 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.52 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653])).
% 10.32/2.52 thf(clause151, conjecture,
% 10.32/2.52 (~( ( ssPv18_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) |
% 10.32/2.52 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.32/2.52 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 10.32/2.52 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.32/2.52 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.32/2.52 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.32/2.52 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.32/2.52 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.32/2.52 ( ~( ssPv15_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 10.32/2.52 ( ~( ssPv13_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 10.32/2.52 ( ~( ssPv11_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) ))).
% 10.32/2.52 thf(zf_stmt_36, negated_conjecture,
% 10.32/2.52 (( ssPv18_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) |
% 10.32/2.52 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.32/2.52 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.32/2.52 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.32/2.52 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.32/2.52 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.32/2.52 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.32/2.52 ( ~( ssPv15_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 10.32/2.52 ( ~( ssPv13_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 10.32/2.52 ( ~( ssPv11_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) )),
% 10.32/2.52 inference('cnf.neg', [status(esa)], [clause151])).
% 10.32/2.52 thf(zip_derived_cl385, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 10.32/2.52 ( (ssPv18_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)
% 10.32/2.52 | ~ (ssNder1_0)
% 10.32/2.52 | ~ (ssNder1_1r1 @ X0)
% 10.32/2.52 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 10.32/2.52 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 10.32/2.52 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 10.32/2.52 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 10.32/2.52 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 10.32/2.52 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 10.32/2.52 | ~ (ssPv15_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)
% 10.32/2.52 | ~ (ssPv13_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)
% 10.32/2.52 | ~ (ssPv11_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7))),
% 10.32/2.52 inference('cnf', [status(esa)], [zf_stmt_36])).
% 10.32/2.52 thf(zip_derived_cl535, plain, ( (ssNder1_0)),
% 10.32/2.52 inference('cnf', [status(esa)], [zf_stmt_1])).
% 10.32/2.52 thf(zip_derived_cl541, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 10.32/2.52 inference('demod', [status(thm)], [zip_derived_cl534, zip_derived_cl535])).
% 10.32/2.52 thf(zip_derived_cl542, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl533, zip_derived_cl535, zip_derived_cl541])).
% 10.32/2.52 thf(zip_derived_cl548, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl527, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.52 zip_derived_cl542])).
% 10.32/2.52 thf(zip_derived_cl568, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.32/2.52 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl519, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.52 zip_derived_cl542, zip_derived_cl548])).
% 10.32/2.52 thf(zip_derived_cl596, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 10.32/2.52 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl501, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.52 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568])).
% 10.32/2.52 thf(zip_derived_cl621, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 10.32/2.52 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl485, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.52 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.52 zip_derived_cl596])).
% 10.32/2.52 thf(zip_derived_cl653, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 10.32/2.52 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl464, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.52 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.52 zip_derived_cl596, zip_derived_cl621])).
% 10.32/2.52 thf(zip_derived_cl800, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 10.32/2.52 ( (ssPv18_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)
% 10.32/2.52 | ~ (ssPv15_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)
% 10.32/2.52 | ~ (ssPv13_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)
% 10.32/2.52 | ~ (ssPv11_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7))),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl385, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.52 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.52 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653])).
% 10.32/2.52 thf(zip_derived_cl801, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 10.32/2.52 (~ (ssPv15_6r1r1r1r1r1r1 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2)
% 10.32/2.52 | ~ (ssPv11_8r1r1r1r1r1r1r1r1 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 10.32/2.52 | ~ (ssPv13_8r1r1r1r1r1r1r1r1 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 10.32/2.52 | (ssPv18_8r1r1r1r1r1r1r1r1 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0))),
% 10.32/2.52 inference('sup-', [status(thm)], [zip_derived_cl719, zip_derived_cl800])).
% 10.32/2.52 thf(zip_derived_cl820, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 10.32/2.52 (~ (ssPv13_8r1r1r1r1r1r1r1r1 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 10.32/2.52 | (ssPv16_8r1r1r1r1r1r1r1r1 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 10.32/2.52 | (ssPv20_8r1r1r1r1r1r1r1r1 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 10.32/2.52 | (ssPv18_8r1r1r1r1r1r1r1r1 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 10.32/2.52 | ~ (ssPv13_8r1r1r1r1r1r1r1r1 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 10.32/2.52 | ~ (ssPv15_6r1r1r1r1r1r1 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2))),
% 10.32/2.52 inference('sup-', [status(thm)], [zip_derived_cl819, zip_derived_cl801])).
% 10.32/2.52 thf(zip_derived_cl821, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 10.32/2.52 (~ (ssPv15_6r1r1r1r1r1r1 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2)
% 10.32/2.52 | (ssPv18_8r1r1r1r1r1r1r1r1 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 10.32/2.52 | (ssPv20_8r1r1r1r1r1r1r1r1 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 10.32/2.52 | (ssPv16_8r1r1r1r1r1r1r1r1 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 10.32/2.52 | ~ (ssPv13_8r1r1r1r1r1r1r1r1 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0))),
% 10.32/2.52 inference('simplify', [status(thm)], [zip_derived_cl820])).
% 10.32/2.52 thf(clause113, conjecture,
% 10.32/2.52 (~( ( ssPv16_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) | ( ~( ssNder1_0 ) ) |
% 10.32/2.52 ( ~( ssNder1_1r1 @ U ) ) | ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 10.32/2.52 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.32/2.52 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.32/2.52 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.32/2.52 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.32/2.52 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.32/2.52 ( ~( ssPv16_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) ))).
% 10.32/2.52 thf(zf_stmt_37, negated_conjecture,
% 10.32/2.52 (( ssPv16_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) | ( ~( ssNder1_0 ) ) |
% 10.32/2.52 ( ~( ssNder1_1r1 @ U ) ) | ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 10.32/2.52 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.32/2.52 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.32/2.52 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.32/2.52 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.32/2.52 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.32/2.52 ( ~( ssPv16_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) )),
% 10.32/2.52 inference('cnf.neg', [status(esa)], [clause113])).
% 10.32/2.52 thf(zip_derived_cl423, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 10.32/2.52 ( (ssPv16_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 10.32/2.52 | ~ (ssNder1_0)
% 10.32/2.52 | ~ (ssNder1_1r1 @ X0)
% 10.32/2.52 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 10.32/2.52 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 10.32/2.52 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 10.32/2.52 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 10.32/2.52 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 10.32/2.52 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 10.32/2.52 | ~ (ssPv16_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7))),
% 10.32/2.52 inference('cnf', [status(esa)], [zf_stmt_37])).
% 10.32/2.52 thf(zip_derived_cl535, plain, ( (ssNder1_0)),
% 10.32/2.52 inference('cnf', [status(esa)], [zf_stmt_1])).
% 10.32/2.52 thf(zip_derived_cl541, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 10.32/2.52 inference('demod', [status(thm)], [zip_derived_cl534, zip_derived_cl535])).
% 10.32/2.52 thf(zip_derived_cl542, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl533, zip_derived_cl535, zip_derived_cl541])).
% 10.32/2.52 thf(zip_derived_cl548, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl527, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.52 zip_derived_cl542])).
% 10.32/2.52 thf(zip_derived_cl568, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.32/2.52 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl519, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.52 zip_derived_cl542, zip_derived_cl548])).
% 10.32/2.52 thf(zip_derived_cl596, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 10.32/2.52 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl501, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.52 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568])).
% 10.32/2.52 thf(zip_derived_cl621, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 10.32/2.52 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl485, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.52 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.52 zip_derived_cl596])).
% 10.32/2.52 thf(zip_derived_cl653, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 10.32/2.52 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl464, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.52 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.52 zip_derived_cl596, zip_derived_cl621])).
% 10.32/2.52 thf(zip_derived_cl706, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 10.32/2.52 ( (ssPv16_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 10.32/2.52 | ~ (ssPv16_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7))),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl423, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.52 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.52 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653])).
% 10.32/2.52 thf(zip_derived_cl822, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 10.32/2.52 (~ (ssPv13_8r1r1r1r1r1r1r1r1 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 10.32/2.52 | (ssPv20_8r1r1r1r1r1r1r1r1 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 10.32/2.52 | (ssPv18_8r1r1r1r1r1r1r1r1 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 10.32/2.52 | ~ (ssPv15_6r1r1r1r1r1r1 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2)
% 10.32/2.52 | (ssPv16_5r1r1r1r1r1 @ X7 @ X6 @ X5 @ X4 @ X3))),
% 10.32/2.52 inference('sup-', [status(thm)], [zip_derived_cl821, zip_derived_cl706])).
% 10.32/2.52 thf(clause105, conjecture,
% 10.32/2.52 (~( ( ssPv18_3r1r1r1 @ U @ V @ W ) | ( ~( ssNder1_0 ) ) |
% 10.32/2.52 ( ~( ssNder1_1r1 @ U ) ) | ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 10.32/2.52 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.32/2.52 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.32/2.52 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.32/2.52 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.32/2.52 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.32/2.52 ( ~( ssPv18_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) ))).
% 10.32/2.52 thf(zf_stmt_38, negated_conjecture,
% 10.32/2.52 (( ssPv18_3r1r1r1 @ U @ V @ W ) | ( ~( ssNder1_0 ) ) |
% 10.32/2.52 ( ~( ssNder1_1r1 @ U ) ) | ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 10.32/2.52 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.32/2.52 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.32/2.52 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.32/2.52 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.32/2.52 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.32/2.52 ( ~( ssPv18_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) )),
% 10.32/2.52 inference('cnf.neg', [status(esa)], [clause105])).
% 10.32/2.52 thf(zip_derived_cl431, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 10.32/2.52 ( (ssPv18_3r1r1r1 @ X0 @ X1 @ X2)
% 10.32/2.52 | ~ (ssNder1_0)
% 10.32/2.52 | ~ (ssNder1_1r1 @ X0)
% 10.32/2.52 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 10.32/2.52 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 10.32/2.52 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 10.32/2.52 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 10.32/2.52 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 10.32/2.52 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 10.32/2.52 | ~ (ssPv18_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7))),
% 10.32/2.52 inference('cnf', [status(esa)], [zf_stmt_38])).
% 10.32/2.52 thf(zip_derived_cl535, plain, ( (ssNder1_0)),
% 10.32/2.52 inference('cnf', [status(esa)], [zf_stmt_1])).
% 10.32/2.52 thf(zip_derived_cl541, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 10.32/2.52 inference('demod', [status(thm)], [zip_derived_cl534, zip_derived_cl535])).
% 10.32/2.52 thf(zip_derived_cl542, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl533, zip_derived_cl535, zip_derived_cl541])).
% 10.32/2.52 thf(zip_derived_cl548, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl527, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.52 zip_derived_cl542])).
% 10.32/2.52 thf(zip_derived_cl568, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.32/2.52 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl519, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.52 zip_derived_cl542, zip_derived_cl548])).
% 10.32/2.52 thf(zip_derived_cl596, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 10.32/2.52 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl501, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.52 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568])).
% 10.32/2.52 thf(zip_derived_cl621, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 10.32/2.52 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl485, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.52 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.52 zip_derived_cl596])).
% 10.32/2.52 thf(zip_derived_cl653, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 10.32/2.52 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl464, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.52 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.52 zip_derived_cl596, zip_derived_cl621])).
% 10.32/2.52 thf(zip_derived_cl689, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 10.32/2.52 ( (ssPv18_3r1r1r1 @ X0 @ X1 @ X2)
% 10.32/2.52 | ~ (ssPv18_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7))),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl431, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.52 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.52 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653])).
% 10.32/2.52 thf(zip_derived_cl823, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 10.32/2.52 ( (ssPv16_5r1r1r1r1r1 @ X7 @ X6 @ X5 @ X4 @ X3)
% 10.32/2.52 | ~ (ssPv15_6r1r1r1r1r1r1 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2)
% 10.32/2.52 | (ssPv20_8r1r1r1r1r1r1r1r1 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 10.32/2.52 | ~ (ssPv13_8r1r1r1r1r1r1r1r1 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 10.32/2.52 | (ssPv18_3r1r1r1 @ X7 @ X6 @ X5))),
% 10.32/2.52 inference('sup-', [status(thm)], [zip_derived_cl822, zip_derived_cl689])).
% 10.32/2.52 thf(clause99, conjecture,
% 10.32/2.52 (~( ( ssPv20_1r1 @ U ) | ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.32/2.52 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 10.32/2.52 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.32/2.52 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.32/2.52 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.32/2.52 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.32/2.52 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.32/2.52 ( ~( ssPv20_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) ))).
% 10.32/2.52 thf(zf_stmt_39, negated_conjecture,
% 10.32/2.52 (( ssPv20_1r1 @ U ) | ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.32/2.52 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.32/2.52 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.32/2.52 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.32/2.52 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.32/2.52 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.32/2.52 ( ~( ssPv20_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) )),
% 10.32/2.52 inference('cnf.neg', [status(esa)], [clause99])).
% 10.32/2.52 thf(zip_derived_cl437, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 10.32/2.52 ( (ssPv20_1r1 @ X0)
% 10.32/2.52 | ~ (ssNder1_0)
% 10.32/2.52 | ~ (ssNder1_1r1 @ X0)
% 10.32/2.52 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 10.32/2.52 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 10.32/2.52 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 10.32/2.52 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 10.32/2.52 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 10.32/2.52 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 10.32/2.52 | ~ (ssPv20_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7))),
% 10.32/2.52 inference('cnf', [status(esa)], [zf_stmt_39])).
% 10.32/2.52 thf(zip_derived_cl535, plain, ( (ssNder1_0)),
% 10.32/2.52 inference('cnf', [status(esa)], [zf_stmt_1])).
% 10.32/2.52 thf(zip_derived_cl541, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 10.32/2.52 inference('demod', [status(thm)], [zip_derived_cl534, zip_derived_cl535])).
% 10.32/2.52 thf(zip_derived_cl542, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl533, zip_derived_cl535, zip_derived_cl541])).
% 10.32/2.52 thf(zip_derived_cl548, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl527, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.52 zip_derived_cl542])).
% 10.32/2.52 thf(zip_derived_cl568, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.32/2.52 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl519, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.52 zip_derived_cl542, zip_derived_cl548])).
% 10.32/2.52 thf(zip_derived_cl596, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 10.32/2.52 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl501, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.52 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568])).
% 10.32/2.52 thf(zip_derived_cl621, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 10.32/2.52 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl485, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.52 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.52 zip_derived_cl596])).
% 10.32/2.52 thf(zip_derived_cl653, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 10.32/2.52 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl464, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.52 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.52 zip_derived_cl596, zip_derived_cl621])).
% 10.32/2.52 thf(zip_derived_cl682, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 10.32/2.52 ( (ssPv20_1r1 @ X0)
% 10.32/2.52 | ~ (ssPv20_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7))),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl437, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.52 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.52 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653])).
% 10.32/2.52 thf(zip_derived_cl826, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 10.32/2.52 ( (ssPv18_3r1r1r1 @ X7 @ X6 @ X5)
% 10.32/2.52 | ~ (ssPv13_8r1r1r1r1r1r1r1r1 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 10.32/2.52 | ~ (ssPv15_6r1r1r1r1r1r1 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2)
% 10.32/2.52 | (ssPv16_5r1r1r1r1r1 @ X7 @ X6 @ X5 @ X4 @ X3)
% 10.32/2.52 | (ssPv20_1r1 @ X7))),
% 10.32/2.52 inference('sup-', [status(thm)], [zip_derived_cl823, zip_derived_cl682])).
% 10.32/2.52 thf(zip_derived_cl827, plain,
% 10.32/2.52 (![X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 10.32/2.52 ( (ssPv20_1r1 @ X6)
% 10.32/2.52 | (ssPv16_5r1r1r1r1r1 @ X6 @ X5 @ X4 @ X3 @ X2)
% 10.32/2.52 | ~ (ssPv15_6r1r1r1r1r1r1 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1)
% 10.32/2.52 | (ssPv18_3r1r1r1 @ X6 @ X5 @ X4))),
% 10.32/2.52 inference('sup-', [status(thm)], [zip_derived_cl664, zip_derived_cl826])).
% 10.32/2.52 thf(zip_derived_cl828, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 10.32/2.52 ( (ssPv18_3r1r1r1 @ X4 @ X3 @ X2)
% 10.32/2.52 | (ssPv16_5r1r1r1r1r1 @ X4 @ X3 @ X2 @ X1 @ X0)
% 10.32/2.52 | (ssPv20_1r1 @ X4))),
% 10.32/2.52 inference('sup-', [status(thm)], [zip_derived_cl610, zip_derived_cl827])).
% 10.32/2.52 thf(clause26, conjecture,
% 10.32/2.52 (~( ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.32/2.52 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 10.32/2.52 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.32/2.52 ( ~( ssPv16_5r1r1r1r1r1 @ U @ V @ W @ X @ skc31 ) ) ))).
% 10.32/2.52 thf(zf_stmt_40, negated_conjecture,
% 10.32/2.52 (( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.32/2.52 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.32/2.52 ( ~( ssPv16_5r1r1r1r1r1 @ U @ V @ W @ X @ skc31 ) )),
% 10.32/2.52 inference('cnf.neg', [status(esa)], [clause26])).
% 10.32/2.52 thf(zip_derived_cl510, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.32/2.52 (~ (ssNder1_0)
% 10.32/2.52 | ~ (ssNder1_1r1 @ X0)
% 10.32/2.52 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 10.32/2.52 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 10.32/2.52 | ~ (ssPv16_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ skc31))),
% 10.32/2.52 inference('cnf', [status(esa)], [zf_stmt_40])).
% 10.32/2.52 thf(zip_derived_cl535, plain, ( (ssNder1_0)),
% 10.32/2.52 inference('cnf', [status(esa)], [zf_stmt_1])).
% 10.32/2.52 thf(zip_derived_cl539, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.32/2.52 (~ (ssNder1_1r1 @ X0)
% 10.32/2.52 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 10.32/2.52 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 10.32/2.52 | ~ (ssPv16_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ skc31))),
% 10.32/2.52 inference('demod', [status(thm)], [zip_derived_cl510, zip_derived_cl535])).
% 10.32/2.52 thf(zip_derived_cl541, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 10.32/2.52 inference('demod', [status(thm)], [zip_derived_cl534, zip_derived_cl535])).
% 10.32/2.52 thf(zip_derived_cl542, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl533, zip_derived_cl535, zip_derived_cl541])).
% 10.32/2.52 thf(zip_derived_cl548, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl527, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.52 zip_derived_cl542])).
% 10.32/2.52 thf(zip_derived_cl554, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.32/2.52 ~ (ssPv16_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ skc31)),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl539, zip_derived_cl541, zip_derived_cl542,
% 10.32/2.52 zip_derived_cl548])).
% 10.32/2.52 thf(zip_derived_cl833, plain,
% 10.32/2.52 (![X1 : $i, X2 : $i, X3 : $i]:
% 10.32/2.52 ( (ssPv20_1r1 @ X3) | (ssPv18_3r1r1r1 @ X3 @ X2 @ X1))),
% 10.32/2.52 inference('sup-', [status(thm)], [zip_derived_cl828, zip_derived_cl554])).
% 10.32/2.52 thf(zip_derived_cl664, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 10.32/2.52 (ssPv13_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ skc24)),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl463, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.52 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.52 zip_derived_cl596, zip_derived_cl621])).
% 10.32/2.52 thf(clause271, conjecture,
% 10.32/2.52 (~( ( ssPv13_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.52 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) |
% 10.32/2.52 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.32/2.52 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 10.32/2.52 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.32/2.52 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.32/2.52 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.32/2.52 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.32/2.52 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.32/2.52 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 10.32/2.52 ( ~( ssPv13_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 10.32/2.52 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 10.32/2.52 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.52 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 10.32/2.52 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.52 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 10.32/2.52 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.52 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 10.32/2.52 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.52 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) ))).
% 10.32/2.52 thf(zf_stmt_41, negated_conjecture,
% 10.32/2.52 (( ssPv13_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.52 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) |
% 10.32/2.52 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.32/2.52 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.32/2.52 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.32/2.52 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.32/2.52 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.32/2.52 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.32/2.52 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 10.32/2.52 ( ~( ssPv13_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 10.32/2.52 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 10.32/2.52 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.52 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 10.32/2.52 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.52 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 10.32/2.52 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.52 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 10.32/2.52 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.52 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) )),
% 10.32/2.52 inference('cnf.neg', [status(esa)], [clause271])).
% 10.32/2.52 thf(zip_derived_cl265, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.52 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 10.32/2.52 ( (ssPv13_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.32/2.52 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 10.32/2.52 | ~ (ssNder1_0)
% 10.32/2.52 | ~ (ssNder1_1r1 @ X0)
% 10.32/2.52 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 10.32/2.52 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 10.32/2.52 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 10.32/2.52 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 10.32/2.52 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 10.32/2.52 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 10.32/2.52 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.32/2.52 X7)
% 10.32/2.52 | ~ (ssPv13_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)
% 10.32/2.52 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.32/2.52 X6 @ X7 @ X8)
% 10.32/2.52 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.32/2.52 X6 @ X7 @ X8 @ X9)
% 10.32/2.52 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.32/2.52 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 10.32/2.52 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.32/2.52 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 10.32/2.52 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.32/2.52 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12))),
% 10.32/2.52 inference('cnf', [status(esa)], [zf_stmt_41])).
% 10.32/2.52 thf(zip_derived_cl535, plain, ( (ssNder1_0)),
% 10.32/2.52 inference('cnf', [status(esa)], [zf_stmt_1])).
% 10.32/2.52 thf(zip_derived_cl541, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 10.32/2.52 inference('demod', [status(thm)], [zip_derived_cl534, zip_derived_cl535])).
% 10.32/2.52 thf(zip_derived_cl542, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl533, zip_derived_cl535, zip_derived_cl541])).
% 10.32/2.52 thf(zip_derived_cl548, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl527, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.52 zip_derived_cl542])).
% 10.32/2.52 thf(zip_derived_cl568, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.32/2.52 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl519, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.52 zip_derived_cl542, zip_derived_cl548])).
% 10.32/2.52 thf(zip_derived_cl596, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 10.32/2.52 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl501, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.52 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568])).
% 10.32/2.52 thf(zip_derived_cl621, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 10.32/2.52 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl485, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.52 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.52 zip_derived_cl596])).
% 10.32/2.52 thf(zip_derived_cl653, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 10.32/2.52 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl464, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.52 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.52 zip_derived_cl596, zip_derived_cl621])).
% 10.32/2.52 thf(zip_derived_cl690, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 10.32/2.52 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl441, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.52 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.52 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653])).
% 10.32/2.52 thf(zip_derived_cl735, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.52 X7 : $i, X8 : $i]:
% 10.32/2.52 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.32/2.52 X7 @ X8)),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl418, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.52 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.52 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653,
% 10.32/2.52 zip_derived_cl690])).
% 10.32/2.52 thf(zip_derived_cl777, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.52 X7 : $i, X8 : $i, X9 : $i]:
% 10.32/2.52 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.32/2.52 X7 @ X8 @ X9)),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl396, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.52 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.52 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653,
% 10.32/2.52 zip_derived_cl690, zip_derived_cl735])).
% 10.32/2.52 thf(zip_derived_cl843, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.52 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 10.32/2.52 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.32/2.52 X6 @ X7 @ X8 @ X9 @ X10)),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl372, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.52 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.52 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653,
% 10.32/2.52 zip_derived_cl690, zip_derived_cl735, zip_derived_cl777])).
% 10.32/2.52 thf(zip_derived_cl903, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.52 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 10.32/2.52 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.32/2.52 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl345, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.52 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.52 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653,
% 10.32/2.52 zip_derived_cl690, zip_derived_cl735, zip_derived_cl777,
% 10.32/2.52 zip_derived_cl843])).
% 10.32/2.52 thf(zip_derived_cl974, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.52 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 10.32/2.52 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.32/2.52 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl314, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.52 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.52 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653,
% 10.32/2.52 zip_derived_cl690, zip_derived_cl735, zip_derived_cl777,
% 10.32/2.52 zip_derived_cl843, zip_derived_cl903])).
% 10.32/2.52 thf(zip_derived_cl1052, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.52 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 10.32/2.52 ( (ssPv13_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.32/2.52 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 10.32/2.52 | ~ (ssPv13_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7))),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl265, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.52 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.52 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653,
% 10.32/2.52 zip_derived_cl690, zip_derived_cl735, zip_derived_cl777,
% 10.32/2.52 zip_derived_cl843, zip_derived_cl903, zip_derived_cl974])).
% 10.32/2.52 thf(clause258, conjecture,
% 10.32/2.52 (~( ( ssPv19_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.52 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) |
% 10.32/2.52 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.32/2.52 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssPv19_2r1r1 @ U @ V ) ) |
% 10.32/2.52 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.32/2.52 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.32/2.52 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.32/2.52 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.32/2.52 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.32/2.52 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 10.32/2.52 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 10.32/2.52 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.52 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 10.32/2.52 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.52 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 10.32/2.52 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.52 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 10.32/2.52 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.52 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) ))).
% 10.32/2.52 thf(zf_stmt_42, negated_conjecture,
% 10.32/2.52 (( ssPv19_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.52 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) |
% 10.32/2.52 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.32/2.52 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssPv19_2r1r1 @ U @ V ) ) |
% 10.32/2.52 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.32/2.52 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.32/2.52 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.32/2.52 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.32/2.52 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.32/2.52 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 10.32/2.52 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 10.32/2.52 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.52 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 10.32/2.52 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.52 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 10.32/2.52 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.52 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 10.32/2.52 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.52 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) )),
% 10.32/2.52 inference('cnf.neg', [status(esa)], [clause258])).
% 10.32/2.52 thf(zip_derived_cl278, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.52 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 10.32/2.52 ( (ssPv19_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.32/2.52 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 10.32/2.52 | ~ (ssNder1_0)
% 10.32/2.52 | ~ (ssNder1_1r1 @ X0)
% 10.32/2.52 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 10.32/2.52 | ~ (ssPv19_2r1r1 @ X0 @ X1)
% 10.32/2.52 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 10.32/2.52 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 10.32/2.52 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 10.32/2.52 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 10.32/2.52 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 10.32/2.52 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.32/2.52 X7)
% 10.32/2.52 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.32/2.52 X6 @ X7 @ X8)
% 10.32/2.52 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.32/2.52 X6 @ X7 @ X8 @ X9)
% 10.32/2.52 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.32/2.52 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 10.32/2.52 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.32/2.52 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 10.32/2.52 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.32/2.52 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12))),
% 10.32/2.52 inference('cnf', [status(esa)], [zf_stmt_42])).
% 10.32/2.52 thf(zip_derived_cl535, plain, ( (ssNder1_0)),
% 10.32/2.52 inference('cnf', [status(esa)], [zf_stmt_1])).
% 10.32/2.52 thf(zip_derived_cl541, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 10.32/2.52 inference('demod', [status(thm)], [zip_derived_cl534, zip_derived_cl535])).
% 10.32/2.52 thf(zip_derived_cl542, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl533, zip_derived_cl535, zip_derived_cl541])).
% 10.32/2.52 thf(zip_derived_cl548, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl527, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.52 zip_derived_cl542])).
% 10.32/2.52 thf(zip_derived_cl568, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.32/2.52 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl519, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.52 zip_derived_cl542, zip_derived_cl548])).
% 10.32/2.52 thf(zip_derived_cl596, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 10.32/2.52 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl501, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.52 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568])).
% 10.32/2.52 thf(zip_derived_cl621, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 10.32/2.52 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl485, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.52 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.52 zip_derived_cl596])).
% 10.32/2.52 thf(zip_derived_cl653, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 10.32/2.52 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl464, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.52 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.52 zip_derived_cl596, zip_derived_cl621])).
% 10.32/2.52 thf(zip_derived_cl690, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 10.32/2.52 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl441, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.52 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.52 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653])).
% 10.32/2.52 thf(zip_derived_cl735, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.52 X7 : $i, X8 : $i]:
% 10.32/2.52 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.32/2.52 X7 @ X8)),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl418, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.52 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.52 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653,
% 10.32/2.52 zip_derived_cl690])).
% 10.32/2.52 thf(zip_derived_cl777, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.52 X7 : $i, X8 : $i, X9 : $i]:
% 10.32/2.52 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.32/2.52 X7 @ X8 @ X9)),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl396, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.52 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.52 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653,
% 10.32/2.52 zip_derived_cl690, zip_derived_cl735])).
% 10.32/2.52 thf(zip_derived_cl843, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.52 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 10.32/2.52 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.32/2.52 X6 @ X7 @ X8 @ X9 @ X10)),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl372, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.52 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.52 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653,
% 10.32/2.52 zip_derived_cl690, zip_derived_cl735, zip_derived_cl777])).
% 10.32/2.52 thf(zip_derived_cl903, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.52 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 10.32/2.52 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.32/2.52 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl345, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.52 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.52 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653,
% 10.32/2.52 zip_derived_cl690, zip_derived_cl735, zip_derived_cl777,
% 10.32/2.52 zip_derived_cl843])).
% 10.32/2.52 thf(zip_derived_cl974, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.52 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 10.32/2.52 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.32/2.52 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl314, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.52 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.52 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653,
% 10.32/2.52 zip_derived_cl690, zip_derived_cl735, zip_derived_cl777,
% 10.32/2.52 zip_derived_cl843, zip_derived_cl903])).
% 10.32/2.52 thf(zip_derived_cl1034, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.52 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 10.32/2.52 ( (ssPv19_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.32/2.52 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 10.32/2.52 | ~ (ssPv19_2r1r1 @ X0 @ X1))),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl278, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.52 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.52 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653,
% 10.32/2.52 zip_derived_cl690, zip_derived_cl735, zip_derived_cl777,
% 10.32/2.52 zip_derived_cl843, zip_derived_cl903, zip_derived_cl974])).
% 10.32/2.52 thf(clause223, conjecture,
% 10.32/2.52 (~( ( ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.52 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ skc20 ) |
% 10.32/2.52 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.32/2.52 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 10.32/2.52 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.32/2.52 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.32/2.52 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.32/2.52 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.32/2.52 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.32/2.52 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 10.32/2.52 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 10.32/2.52 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.52 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 10.32/2.52 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.52 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 10.32/2.52 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.52 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) ))).
% 10.32/2.52 thf(zf_stmt_43, negated_conjecture,
% 10.32/2.52 (( ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.52 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ skc20 ) |
% 10.32/2.52 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.32/2.52 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.32/2.52 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.32/2.52 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.32/2.52 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.32/2.52 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.32/2.52 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 10.32/2.52 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 10.32/2.52 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.52 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 10.32/2.52 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.52 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 10.32/2.52 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.52 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) )),
% 10.32/2.52 inference('cnf.neg', [status(esa)], [clause223])).
% 10.32/2.52 thf(zip_derived_cl313, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.52 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 10.32/2.52 ( (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.32/2.52 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ skc20)
% 10.32/2.52 | ~ (ssNder1_0)
% 10.32/2.52 | ~ (ssNder1_1r1 @ X0)
% 10.32/2.52 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 10.32/2.52 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 10.32/2.52 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 10.32/2.52 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 10.32/2.52 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 10.32/2.52 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 10.32/2.52 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.32/2.52 X7)
% 10.32/2.52 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.32/2.52 X6 @ X7 @ X8)
% 10.32/2.52 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.32/2.52 X6 @ X7 @ X8 @ X9)
% 10.32/2.52 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.32/2.52 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 10.32/2.52 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.32/2.52 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11))),
% 10.32/2.52 inference('cnf', [status(esa)], [zf_stmt_43])).
% 10.32/2.52 thf(zip_derived_cl535, plain, ( (ssNder1_0)),
% 10.32/2.52 inference('cnf', [status(esa)], [zf_stmt_1])).
% 10.32/2.52 thf(zip_derived_cl541, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 10.32/2.52 inference('demod', [status(thm)], [zip_derived_cl534, zip_derived_cl535])).
% 10.32/2.52 thf(zip_derived_cl542, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl533, zip_derived_cl535, zip_derived_cl541])).
% 10.32/2.52 thf(zip_derived_cl548, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl527, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.52 zip_derived_cl542])).
% 10.32/2.52 thf(zip_derived_cl568, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.32/2.52 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl519, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.52 zip_derived_cl542, zip_derived_cl548])).
% 10.32/2.52 thf(zip_derived_cl596, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 10.32/2.52 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl501, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.52 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568])).
% 10.32/2.52 thf(zip_derived_cl621, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 10.32/2.52 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl485, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.52 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.52 zip_derived_cl596])).
% 10.32/2.52 thf(zip_derived_cl653, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 10.32/2.52 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl464, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.52 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.52 zip_derived_cl596, zip_derived_cl621])).
% 10.32/2.52 thf(zip_derived_cl690, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 10.32/2.52 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl441, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.52 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.52 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653])).
% 10.32/2.52 thf(zip_derived_cl735, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.52 X7 : $i, X8 : $i]:
% 10.32/2.52 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.32/2.52 X7 @ X8)),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl418, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.52 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.52 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653,
% 10.32/2.52 zip_derived_cl690])).
% 10.32/2.52 thf(zip_derived_cl777, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.52 X7 : $i, X8 : $i, X9 : $i]:
% 10.32/2.52 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.32/2.52 X7 @ X8 @ X9)),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl396, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.52 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.52 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653,
% 10.32/2.52 zip_derived_cl690, zip_derived_cl735])).
% 10.32/2.52 thf(zip_derived_cl843, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.52 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 10.32/2.52 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.32/2.52 X6 @ X7 @ X8 @ X9 @ X10)),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl372, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.52 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.52 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653,
% 10.32/2.52 zip_derived_cl690, zip_derived_cl735, zip_derived_cl777])).
% 10.32/2.52 thf(zip_derived_cl903, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.52 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 10.32/2.52 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.32/2.52 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl345, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.52 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.52 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653,
% 10.32/2.52 zip_derived_cl690, zip_derived_cl735, zip_derived_cl777,
% 10.32/2.52 zip_derived_cl843])).
% 10.32/2.52 thf(zip_derived_cl982, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.52 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 10.32/2.52 (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.32/2.52 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ skc20)),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl313, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.52 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.52 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653,
% 10.32/2.52 zip_derived_cl690, zip_derived_cl735, zip_derived_cl777,
% 10.32/2.52 zip_derived_cl843, zip_derived_cl903])).
% 10.32/2.52 thf(clause349, conjecture,
% 10.32/2.52 (~( ( ssPv9_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.52 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) |
% 10.32/2.52 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.32/2.52 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 10.32/2.52 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.32/2.52 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.32/2.52 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.32/2.52 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.32/2.52 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.32/2.52 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 10.32/2.52 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 10.32/2.52 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.52 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 10.32/2.52 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.52 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 10.32/2.52 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.52 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 10.32/2.52 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.52 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 10.32/2.52 ( ~( ssPv19_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.52 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 10.32/2.52 ( ~( ssPv13_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.52 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 10.32/2.52 ( ~( ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.52 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) ))).
% 10.32/2.52 thf(zf_stmt_44, negated_conjecture,
% 10.32/2.52 (( ssPv9_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.52 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) |
% 10.32/2.52 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.32/2.52 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.32/2.52 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.32/2.52 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.32/2.52 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.32/2.52 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.32/2.52 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 10.32/2.52 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 10.32/2.52 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.52 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 10.32/2.52 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.52 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 10.32/2.52 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.52 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 10.32/2.52 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.52 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 10.32/2.52 ( ~( ssPv19_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.52 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 10.32/2.52 ( ~( ssPv13_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.52 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 10.32/2.52 ( ~( ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.52 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) )),
% 10.32/2.52 inference('cnf.neg', [status(esa)], [clause349])).
% 10.32/2.52 thf(zip_derived_cl187, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.52 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 10.32/2.52 ( (ssPv9_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.32/2.52 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 10.32/2.52 | ~ (ssNder1_0)
% 10.32/2.52 | ~ (ssNder1_1r1 @ X0)
% 10.32/2.52 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 10.32/2.52 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 10.32/2.52 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 10.32/2.52 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 10.32/2.52 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 10.32/2.52 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 10.32/2.52 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.32/2.52 X7)
% 10.32/2.52 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.32/2.52 X6 @ X7 @ X8)
% 10.32/2.52 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.32/2.52 X6 @ X7 @ X8 @ X9)
% 10.32/2.52 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.32/2.52 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 10.32/2.52 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.32/2.52 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 10.32/2.52 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.32/2.52 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 10.32/2.52 | ~ (ssPv19_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.32/2.52 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 10.32/2.52 | ~ (ssPv13_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.32/2.52 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 10.32/2.52 | ~ (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.32/2.52 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13))),
% 10.32/2.52 inference('cnf', [status(esa)], [zf_stmt_44])).
% 10.32/2.52 thf(zip_derived_cl535, plain, ( (ssNder1_0)),
% 10.32/2.52 inference('cnf', [status(esa)], [zf_stmt_1])).
% 10.32/2.52 thf(zip_derived_cl541, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 10.32/2.52 inference('demod', [status(thm)], [zip_derived_cl534, zip_derived_cl535])).
% 10.32/2.52 thf(zip_derived_cl542, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl533, zip_derived_cl535, zip_derived_cl541])).
% 10.32/2.52 thf(zip_derived_cl548, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl527, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.52 zip_derived_cl542])).
% 10.32/2.52 thf(zip_derived_cl568, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.32/2.52 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl519, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.52 zip_derived_cl542, zip_derived_cl548])).
% 10.32/2.52 thf(zip_derived_cl596, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 10.32/2.52 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl501, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.52 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568])).
% 10.32/2.52 thf(zip_derived_cl621, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 10.32/2.52 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl485, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.52 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.52 zip_derived_cl596])).
% 10.32/2.52 thf(zip_derived_cl653, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 10.32/2.52 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl464, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.52 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.52 zip_derived_cl596, zip_derived_cl621])).
% 10.32/2.52 thf(zip_derived_cl690, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 10.32/2.52 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl441, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.52 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.52 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653])).
% 10.32/2.52 thf(zip_derived_cl735, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.52 X7 : $i, X8 : $i]:
% 10.32/2.52 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.32/2.52 X7 @ X8)),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl418, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.52 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.52 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653,
% 10.32/2.52 zip_derived_cl690])).
% 10.32/2.52 thf(zip_derived_cl777, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.52 X7 : $i, X8 : $i, X9 : $i]:
% 10.32/2.52 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.32/2.52 X7 @ X8 @ X9)),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl396, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.52 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.52 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653,
% 10.32/2.52 zip_derived_cl690, zip_derived_cl735])).
% 10.32/2.52 thf(zip_derived_cl843, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.52 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 10.32/2.52 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.32/2.52 X6 @ X7 @ X8 @ X9 @ X10)),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl372, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.52 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.52 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653,
% 10.32/2.52 zip_derived_cl690, zip_derived_cl735, zip_derived_cl777])).
% 10.32/2.52 thf(zip_derived_cl903, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.52 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 10.32/2.52 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.32/2.52 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl345, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.52 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.52 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653,
% 10.32/2.52 zip_derived_cl690, zip_derived_cl735, zip_derived_cl777,
% 10.32/2.52 zip_derived_cl843])).
% 10.32/2.52 thf(zip_derived_cl974, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.52 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 10.32/2.52 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.32/2.52 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl314, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.52 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.52 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653,
% 10.32/2.52 zip_derived_cl690, zip_derived_cl735, zip_derived_cl777,
% 10.32/2.52 zip_derived_cl843, zip_derived_cl903])).
% 10.32/2.52 thf(zip_derived_cl1216, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.52 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 10.32/2.52 ( (ssPv9_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.32/2.52 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 10.32/2.52 | ~ (ssPv19_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.32/2.52 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 10.32/2.52 | ~ (ssPv13_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.32/2.52 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 10.32/2.52 | ~ (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.32/2.52 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13))),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl187, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.52 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.52 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653,
% 10.32/2.52 zip_derived_cl690, zip_derived_cl735, zip_derived_cl777,
% 10.32/2.52 zip_derived_cl843, zip_derived_cl903, zip_derived_cl974])).
% 10.32/2.52 thf(clause280, conjecture,
% 10.32/2.52 (~( ( ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.52 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) |
% 10.32/2.52 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.32/2.52 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 10.32/2.52 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.32/2.52 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.32/2.52 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.32/2.52 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.32/2.52 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.32/2.52 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 10.32/2.52 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 10.32/2.52 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.52 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 10.32/2.52 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.52 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 10.32/2.52 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.52 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 10.32/2.52 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.52 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 10.32/2.52 ( ~( ssPv9_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.52 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) ))).
% 10.32/2.52 thf(zf_stmt_45, negated_conjecture,
% 10.32/2.52 (( ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.52 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) |
% 10.32/2.52 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.32/2.52 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.32/2.52 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.32/2.52 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.32/2.52 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.32/2.52 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.32/2.52 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 10.32/2.52 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 10.32/2.52 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.52 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 10.32/2.52 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.52 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 10.32/2.52 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.52 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 10.32/2.52 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.52 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 10.32/2.52 ( ~( ssPv9_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.52 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) )),
% 10.32/2.52 inference('cnf.neg', [status(esa)], [clause280])).
% 10.32/2.52 thf(zip_derived_cl256, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.52 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 10.32/2.52 ( (ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.32/2.52 X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 10.32/2.52 | ~ (ssNder1_0)
% 10.32/2.52 | ~ (ssNder1_1r1 @ X0)
% 10.32/2.52 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 10.32/2.52 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 10.32/2.52 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 10.32/2.52 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 10.32/2.52 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 10.32/2.52 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 10.32/2.52 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.32/2.52 X7)
% 10.32/2.52 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.32/2.52 X6 @ X7 @ X8)
% 10.32/2.52 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.32/2.52 X6 @ X7 @ X8 @ X9)
% 10.32/2.52 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.32/2.52 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 10.32/2.52 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.32/2.52 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 10.32/2.52 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.32/2.52 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 10.32/2.52 | ~ (ssPv9_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.32/2.52 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13))),
% 10.32/2.52 inference('cnf', [status(esa)], [zf_stmt_45])).
% 10.32/2.52 thf(zip_derived_cl535, plain, ( (ssNder1_0)),
% 10.32/2.52 inference('cnf', [status(esa)], [zf_stmt_1])).
% 10.32/2.52 thf(zip_derived_cl541, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 10.32/2.52 inference('demod', [status(thm)], [zip_derived_cl534, zip_derived_cl535])).
% 10.32/2.52 thf(zip_derived_cl542, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl533, zip_derived_cl535, zip_derived_cl541])).
% 10.32/2.52 thf(zip_derived_cl548, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl527, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.52 zip_derived_cl542])).
% 10.32/2.52 thf(zip_derived_cl568, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.32/2.52 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl519, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.52 zip_derived_cl542, zip_derived_cl548])).
% 10.32/2.52 thf(zip_derived_cl596, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 10.32/2.52 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl501, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.52 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568])).
% 10.32/2.52 thf(zip_derived_cl621, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 10.32/2.52 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl485, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.52 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.52 zip_derived_cl596])).
% 10.32/2.52 thf(zip_derived_cl653, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 10.32/2.52 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl464, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.52 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.52 zip_derived_cl596, zip_derived_cl621])).
% 10.32/2.52 thf(zip_derived_cl690, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 10.32/2.52 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl441, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.52 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.52 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653])).
% 10.32/2.52 thf(zip_derived_cl735, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.52 X7 : $i, X8 : $i]:
% 10.32/2.52 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.32/2.52 X7 @ X8)),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl418, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.52 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.52 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653,
% 10.32/2.52 zip_derived_cl690])).
% 10.32/2.52 thf(zip_derived_cl777, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.52 X7 : $i, X8 : $i, X9 : $i]:
% 10.32/2.52 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.32/2.52 X7 @ X8 @ X9)),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl396, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.52 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.52 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653,
% 10.32/2.52 zip_derived_cl690, zip_derived_cl735])).
% 10.32/2.52 thf(zip_derived_cl843, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.52 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 10.32/2.52 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.32/2.52 X6 @ X7 @ X8 @ X9 @ X10)),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl372, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.52 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.52 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653,
% 10.32/2.52 zip_derived_cl690, zip_derived_cl735, zip_derived_cl777])).
% 10.32/2.52 thf(zip_derived_cl903, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.52 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 10.32/2.52 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.32/2.52 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl345, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.52 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.52 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653,
% 10.32/2.52 zip_derived_cl690, zip_derived_cl735, zip_derived_cl777,
% 10.32/2.52 zip_derived_cl843])).
% 10.32/2.52 thf(zip_derived_cl974, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.52 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 10.32/2.52 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.32/2.52 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl314, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.52 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.52 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653,
% 10.32/2.52 zip_derived_cl690, zip_derived_cl735, zip_derived_cl777,
% 10.32/2.52 zip_derived_cl843, zip_derived_cl903])).
% 10.32/2.52 thf(zip_derived_cl1067, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.52 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 10.32/2.52 ( (ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.32/2.52 X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 10.32/2.52 | ~ (ssPv9_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.32/2.52 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13))),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl256, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.52 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.52 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653,
% 10.32/2.52 zip_derived_cl690, zip_derived_cl735, zip_derived_cl777,
% 10.32/2.52 zip_derived_cl843, zip_derived_cl903, zip_derived_cl974])).
% 10.32/2.52 thf(zip_derived_cl1217, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.52 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 10.32/2.52 (~ (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X13 @ X12 @ X11 @ X10 @
% 10.32/2.52 X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 10.32/2.52 | ~ (ssPv13_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X13 @ X12 @ X11 @ X10 @
% 10.32/2.52 X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 10.32/2.52 | ~ (ssPv19_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X13 @ X12 @ X11 @ X10 @
% 10.32/2.52 X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 10.32/2.52 | (ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X13 @ X12 @ X11 @ X10 @ X9 @
% 10.32/2.52 X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2))),
% 10.32/2.52 inference('sup-', [status(thm)], [zip_derived_cl1216, zip_derived_cl1067])).
% 10.32/2.52 thf(zip_derived_cl1220, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.52 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 10.32/2.52 ( (ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X12 @ X11 @ X10 @ X9 @ X8 @
% 10.32/2.52 X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1)
% 10.32/2.52 | ~ (ssPv19_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X12 @ X11 @ X10 @ X9 @
% 10.32/2.52 X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ skc20)
% 10.32/2.52 | ~ (ssPv13_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X12 @ X11 @ X10 @ X9 @
% 10.32/2.52 X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ skc20))),
% 10.32/2.52 inference('sup-', [status(thm)], [zip_derived_cl982, zip_derived_cl1217])).
% 10.32/2.52 thf(zip_derived_cl1221, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.52 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 10.32/2.52 (~ (ssPv19_2r1r1 @ X12 @ X11)
% 10.32/2.52 | ~ (ssPv13_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X12 @ X11 @ X10 @ X9 @
% 10.32/2.52 X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ skc20)
% 10.32/2.52 | (ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X12 @ X11 @ X10 @ X9 @ X8 @
% 10.32/2.52 X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1))),
% 10.32/2.52 inference('sup-', [status(thm)], [zip_derived_cl1034, zip_derived_cl1220])).
% 10.32/2.52 thf(zip_derived_cl1223, plain,
% 10.32/2.52 (![X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i,
% 10.32/2.52 X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 10.32/2.52 (~ (ssPv13_8r1r1r1r1r1r1r1r1 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @
% 10.32/2.52 X5)
% 10.32/2.52 | (ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X12 @ X11 @ X10 @ X9 @ X8 @
% 10.32/2.52 X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1)
% 10.32/2.52 | ~ (ssPv19_2r1r1 @ X12 @ X11))),
% 10.32/2.52 inference('sup-', [status(thm)], [zip_derived_cl1052, zip_derived_cl1221])).
% 10.32/2.52 thf(zip_derived_cl1052, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.52 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 10.32/2.52 ( (ssPv13_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.32/2.52 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 10.32/2.52 | ~ (ssPv13_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7))),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl265, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.52 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.52 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653,
% 10.32/2.52 zip_derived_cl690, zip_derived_cl735, zip_derived_cl777,
% 10.32/2.52 zip_derived_cl843, zip_derived_cl903, zip_derived_cl974])).
% 10.32/2.52 thf(clause281, conjecture,
% 10.32/2.52 (~( ( ssPv9_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.52 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) |
% 10.32/2.52 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.32/2.52 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 10.32/2.52 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.32/2.52 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.32/2.52 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.32/2.52 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.32/2.52 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.32/2.52 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 10.32/2.52 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 10.32/2.52 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.52 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 10.32/2.52 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.52 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 10.32/2.52 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.52 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 10.32/2.52 ( ~( ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.52 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 10.32/2.52 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.52 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) ))).
% 10.32/2.52 thf(zf_stmt_46, negated_conjecture,
% 10.32/2.52 (( ssPv9_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.52 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) |
% 10.32/2.52 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.32/2.52 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.32/2.52 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.32/2.52 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.32/2.52 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.32/2.52 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.32/2.52 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 10.32/2.52 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 10.32/2.52 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.52 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 10.32/2.52 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.52 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 10.32/2.52 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.52 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 10.32/2.52 ( ~( ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.52 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 10.32/2.52 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.52 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) )),
% 10.32/2.52 inference('cnf.neg', [status(esa)], [clause281])).
% 10.32/2.52 thf(zip_derived_cl255, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.52 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 10.32/2.52 ( (ssPv9_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.32/2.52 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 10.32/2.52 | ~ (ssNder1_0)
% 10.32/2.52 | ~ (ssNder1_1r1 @ X0)
% 10.32/2.52 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 10.32/2.52 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 10.32/2.52 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 10.32/2.52 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 10.32/2.52 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 10.32/2.52 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 10.32/2.52 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.32/2.52 X7)
% 10.32/2.52 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.32/2.52 X6 @ X7 @ X8)
% 10.32/2.52 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.32/2.52 X6 @ X7 @ X8 @ X9)
% 10.32/2.52 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.32/2.52 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 10.32/2.52 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.32/2.52 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 10.32/2.52 | ~ (ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.32/2.52 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 10.32/2.52 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.32/2.52 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12))),
% 10.32/2.52 inference('cnf', [status(esa)], [zf_stmt_46])).
% 10.32/2.52 thf(zip_derived_cl535, plain, ( (ssNder1_0)),
% 10.32/2.52 inference('cnf', [status(esa)], [zf_stmt_1])).
% 10.32/2.52 thf(zip_derived_cl541, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 10.32/2.52 inference('demod', [status(thm)], [zip_derived_cl534, zip_derived_cl535])).
% 10.32/2.52 thf(zip_derived_cl542, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl533, zip_derived_cl535, zip_derived_cl541])).
% 10.32/2.52 thf(zip_derived_cl548, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl527, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.52 zip_derived_cl542])).
% 10.32/2.52 thf(zip_derived_cl568, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.32/2.52 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl519, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.52 zip_derived_cl542, zip_derived_cl548])).
% 10.32/2.52 thf(zip_derived_cl596, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 10.32/2.52 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl501, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.52 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568])).
% 10.32/2.52 thf(zip_derived_cl621, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 10.32/2.52 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl485, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.52 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.52 zip_derived_cl596])).
% 10.32/2.52 thf(zip_derived_cl653, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 10.32/2.52 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl464, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.52 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.52 zip_derived_cl596, zip_derived_cl621])).
% 10.32/2.52 thf(zip_derived_cl690, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 10.32/2.52 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl441, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.52 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.52 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653])).
% 10.32/2.52 thf(zip_derived_cl735, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.52 X7 : $i, X8 : $i]:
% 10.32/2.52 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.32/2.52 X7 @ X8)),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl418, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.52 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.52 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653,
% 10.32/2.52 zip_derived_cl690])).
% 10.32/2.52 thf(zip_derived_cl777, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.52 X7 : $i, X8 : $i, X9 : $i]:
% 10.32/2.52 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.32/2.52 X7 @ X8 @ X9)),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl396, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.52 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.52 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653,
% 10.32/2.52 zip_derived_cl690, zip_derived_cl735])).
% 10.32/2.52 thf(zip_derived_cl843, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.52 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 10.32/2.52 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.32/2.52 X6 @ X7 @ X8 @ X9 @ X10)),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl372, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.52 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.52 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653,
% 10.32/2.52 zip_derived_cl690, zip_derived_cl735, zip_derived_cl777])).
% 10.32/2.52 thf(zip_derived_cl903, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.52 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 10.32/2.52 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.32/2.52 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl345, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.52 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.52 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653,
% 10.32/2.52 zip_derived_cl690, zip_derived_cl735, zip_derived_cl777,
% 10.32/2.52 zip_derived_cl843])).
% 10.32/2.52 thf(zip_derived_cl974, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.52 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 10.32/2.52 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.32/2.52 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl314, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.52 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.52 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653,
% 10.32/2.52 zip_derived_cl690, zip_derived_cl735, zip_derived_cl777,
% 10.32/2.52 zip_derived_cl843, zip_derived_cl903])).
% 10.32/2.52 thf(zip_derived_cl1073, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.52 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 10.32/2.52 ( (ssPv9_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.32/2.52 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 10.32/2.52 | ~ (ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.32/2.52 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11))),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl255, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.52 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.52 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653,
% 10.32/2.52 zip_derived_cl690, zip_derived_cl735, zip_derived_cl777,
% 10.32/2.52 zip_derived_cl843, zip_derived_cl903, zip_derived_cl974])).
% 10.32/2.52 thf(clause260, conjecture,
% 10.32/2.52 (~( ( ssPv18_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.52 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) |
% 10.32/2.52 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.32/2.52 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 10.32/2.52 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.32/2.52 ( ~( ssPv18_3r1r1r1 @ U @ V @ W ) ) |
% 10.32/2.52 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.32/2.52 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.32/2.52 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.32/2.52 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.32/2.52 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 10.32/2.52 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 10.32/2.52 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.52 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 10.32/2.52 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.52 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 10.32/2.52 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.52 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 10.32/2.52 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.52 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) ))).
% 10.32/2.52 thf(zf_stmt_47, negated_conjecture,
% 10.32/2.52 (( ssPv18_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.52 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) |
% 10.32/2.52 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.32/2.52 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.32/2.52 ( ~( ssPv18_3r1r1r1 @ U @ V @ W ) ) |
% 10.32/2.52 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.32/2.52 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.32/2.52 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.32/2.52 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.32/2.52 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 10.32/2.52 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 10.32/2.52 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.52 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 10.32/2.52 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.52 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 10.32/2.52 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.52 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 10.32/2.52 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.52 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) )),
% 10.32/2.52 inference('cnf.neg', [status(esa)], [clause260])).
% 10.32/2.52 thf(zip_derived_cl276, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.52 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 10.32/2.52 ( (ssPv18_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.32/2.52 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 10.32/2.52 | ~ (ssNder1_0)
% 10.32/2.52 | ~ (ssNder1_1r1 @ X0)
% 10.32/2.52 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 10.32/2.52 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 10.32/2.52 | ~ (ssPv18_3r1r1r1 @ X0 @ X1 @ X2)
% 10.32/2.52 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 10.32/2.52 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 10.32/2.52 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 10.32/2.52 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 10.32/2.52 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.32/2.52 X7)
% 10.32/2.52 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.32/2.52 X6 @ X7 @ X8)
% 10.32/2.52 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.32/2.52 X6 @ X7 @ X8 @ X9)
% 10.32/2.52 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.32/2.52 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 10.32/2.52 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.32/2.52 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 10.32/2.52 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.32/2.52 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12))),
% 10.32/2.52 inference('cnf', [status(esa)], [zf_stmt_47])).
% 10.32/2.52 thf(zip_derived_cl535, plain, ( (ssNder1_0)),
% 10.32/2.52 inference('cnf', [status(esa)], [zf_stmt_1])).
% 10.32/2.52 thf(zip_derived_cl541, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 10.32/2.52 inference('demod', [status(thm)], [zip_derived_cl534, zip_derived_cl535])).
% 10.32/2.52 thf(zip_derived_cl542, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl533, zip_derived_cl535, zip_derived_cl541])).
% 10.32/2.52 thf(zip_derived_cl548, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl527, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.52 zip_derived_cl542])).
% 10.32/2.52 thf(zip_derived_cl568, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.32/2.52 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl519, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.52 zip_derived_cl542, zip_derived_cl548])).
% 10.32/2.52 thf(zip_derived_cl596, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 10.32/2.52 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl501, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.52 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568])).
% 10.32/2.52 thf(zip_derived_cl621, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 10.32/2.52 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl485, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.52 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.52 zip_derived_cl596])).
% 10.32/2.52 thf(zip_derived_cl653, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 10.32/2.52 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl464, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.52 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.52 zip_derived_cl596, zip_derived_cl621])).
% 10.32/2.52 thf(zip_derived_cl690, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 10.32/2.52 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl441, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.52 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.52 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653])).
% 10.32/2.52 thf(zip_derived_cl735, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.52 X7 : $i, X8 : $i]:
% 10.32/2.52 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.32/2.52 X7 @ X8)),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl418, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.52 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.52 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653,
% 10.32/2.52 zip_derived_cl690])).
% 10.32/2.52 thf(zip_derived_cl777, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.52 X7 : $i, X8 : $i, X9 : $i]:
% 10.32/2.52 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.32/2.52 X7 @ X8 @ X9)),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl396, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.52 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.52 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653,
% 10.32/2.52 zip_derived_cl690, zip_derived_cl735])).
% 10.32/2.52 thf(zip_derived_cl843, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.52 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 10.32/2.52 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.32/2.52 X6 @ X7 @ X8 @ X9 @ X10)),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl372, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.52 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.52 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653,
% 10.32/2.52 zip_derived_cl690, zip_derived_cl735, zip_derived_cl777])).
% 10.32/2.52 thf(zip_derived_cl903, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.52 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 10.32/2.52 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.32/2.52 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl345, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.52 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.52 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653,
% 10.32/2.52 zip_derived_cl690, zip_derived_cl735, zip_derived_cl777,
% 10.32/2.52 zip_derived_cl843])).
% 10.32/2.52 thf(zip_derived_cl974, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.52 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 10.32/2.52 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.32/2.52 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl314, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.52 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.52 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653,
% 10.32/2.52 zip_derived_cl690, zip_derived_cl735, zip_derived_cl777,
% 10.32/2.52 zip_derived_cl843, zip_derived_cl903])).
% 10.32/2.52 thf(zip_derived_cl1037, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.52 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 10.32/2.52 ( (ssPv18_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.32/2.52 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 10.32/2.52 | ~ (ssPv18_3r1r1r1 @ X0 @ X1 @ X2))),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl276, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.52 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.52 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653,
% 10.32/2.52 zip_derived_cl690, zip_derived_cl735, zip_derived_cl777,
% 10.32/2.52 zip_derived_cl843, zip_derived_cl903, zip_derived_cl974])).
% 10.32/2.52 thf(clause350, conjecture,
% 10.32/2.52 (~( ( ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.52 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) |
% 10.32/2.52 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.32/2.52 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 10.32/2.52 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.32/2.52 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.32/2.52 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.32/2.52 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.32/2.52 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.32/2.52 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 10.32/2.52 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 10.32/2.52 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.52 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 10.32/2.52 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.52 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 10.32/2.52 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.52 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 10.32/2.52 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.52 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 10.32/2.52 ( ~( ssPv18_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.52 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 10.32/2.52 ( ~( ssPv13_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.52 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 10.32/2.52 ( ~( ssPv9_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.52 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) ))).
% 10.32/2.52 thf(zf_stmt_48, negated_conjecture,
% 10.32/2.52 (( ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.52 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) |
% 10.32/2.52 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.32/2.52 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.32/2.52 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.32/2.52 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.32/2.52 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.32/2.52 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.32/2.52 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 10.32/2.52 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 10.32/2.52 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.52 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 10.32/2.52 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.52 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 10.32/2.52 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.52 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 10.32/2.52 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.52 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 10.32/2.52 ( ~( ssPv18_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.52 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 10.32/2.52 ( ~( ssPv13_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.52 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 10.32/2.52 ( ~( ssPv9_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.52 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) )),
% 10.32/2.52 inference('cnf.neg', [status(esa)], [clause350])).
% 10.32/2.52 thf(zip_derived_cl186, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.52 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 10.32/2.52 ( (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.32/2.52 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 10.32/2.52 | ~ (ssNder1_0)
% 10.32/2.52 | ~ (ssNder1_1r1 @ X0)
% 10.32/2.52 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 10.32/2.52 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 10.32/2.52 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 10.32/2.52 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 10.32/2.52 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 10.32/2.52 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 10.32/2.52 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.32/2.52 X7)
% 10.32/2.52 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.32/2.52 X6 @ X7 @ X8)
% 10.32/2.52 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.32/2.52 X6 @ X7 @ X8 @ X9)
% 10.32/2.52 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.32/2.52 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 10.32/2.52 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.32/2.52 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 10.32/2.52 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.32/2.52 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 10.32/2.52 | ~ (ssPv18_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.32/2.52 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 10.32/2.52 | ~ (ssPv13_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.32/2.52 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 10.32/2.52 | ~ (ssPv9_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.32/2.52 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13))),
% 10.32/2.52 inference('cnf', [status(esa)], [zf_stmt_48])).
% 10.32/2.52 thf(zip_derived_cl535, plain, ( (ssNder1_0)),
% 10.32/2.52 inference('cnf', [status(esa)], [zf_stmt_1])).
% 10.32/2.52 thf(zip_derived_cl541, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 10.32/2.52 inference('demod', [status(thm)], [zip_derived_cl534, zip_derived_cl535])).
% 10.32/2.52 thf(zip_derived_cl542, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl533, zip_derived_cl535, zip_derived_cl541])).
% 10.32/2.52 thf(zip_derived_cl548, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl527, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.52 zip_derived_cl542])).
% 10.32/2.52 thf(zip_derived_cl568, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.32/2.52 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl519, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.52 zip_derived_cl542, zip_derived_cl548])).
% 10.32/2.52 thf(zip_derived_cl596, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 10.32/2.52 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl501, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.52 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568])).
% 10.32/2.52 thf(zip_derived_cl621, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 10.32/2.52 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl485, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.52 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.52 zip_derived_cl596])).
% 10.32/2.52 thf(zip_derived_cl653, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 10.32/2.52 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl464, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.52 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.52 zip_derived_cl596, zip_derived_cl621])).
% 10.32/2.52 thf(zip_derived_cl690, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 10.32/2.52 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl441, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.52 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.52 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653])).
% 10.32/2.52 thf(zip_derived_cl735, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.52 X7 : $i, X8 : $i]:
% 10.32/2.52 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.32/2.52 X7 @ X8)),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl418, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.52 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.52 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653,
% 10.32/2.52 zip_derived_cl690])).
% 10.32/2.52 thf(zip_derived_cl777, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.52 X7 : $i, X8 : $i, X9 : $i]:
% 10.32/2.52 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.32/2.52 X7 @ X8 @ X9)),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl396, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.52 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.52 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653,
% 10.32/2.52 zip_derived_cl690, zip_derived_cl735])).
% 10.32/2.52 thf(zip_derived_cl843, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.52 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 10.32/2.52 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.32/2.52 X6 @ X7 @ X8 @ X9 @ X10)),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl372, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.52 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.52 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653,
% 10.32/2.52 zip_derived_cl690, zip_derived_cl735, zip_derived_cl777])).
% 10.32/2.52 thf(zip_derived_cl903, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.52 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 10.32/2.52 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.32/2.52 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl345, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.52 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.52 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653,
% 10.32/2.52 zip_derived_cl690, zip_derived_cl735, zip_derived_cl777,
% 10.32/2.52 zip_derived_cl843])).
% 10.32/2.52 thf(zip_derived_cl974, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.52 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 10.32/2.52 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.32/2.52 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl314, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.52 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.52 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653,
% 10.32/2.52 zip_derived_cl690, zip_derived_cl735, zip_derived_cl777,
% 10.32/2.52 zip_derived_cl843, zip_derived_cl903])).
% 10.32/2.52 thf(zip_derived_cl1212, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.52 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 10.32/2.52 ( (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.32/2.52 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 10.32/2.52 | ~ (ssPv18_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.32/2.52 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 10.32/2.52 | ~ (ssPv13_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.32/2.52 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 10.32/2.52 | ~ (ssPv9_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.32/2.52 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13))),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl186, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.52 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.52 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653,
% 10.32/2.52 zip_derived_cl690, zip_derived_cl735, zip_derived_cl777,
% 10.32/2.52 zip_derived_cl843, zip_derived_cl903, zip_derived_cl974])).
% 10.32/2.52 thf(zip_derived_cl1213, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.52 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 10.32/2.52 (~ (ssPv18_3r1r1r1 @ X13 @ X12 @ X11)
% 10.32/2.52 | ~ (ssPv9_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X13 @ X12 @ X11 @ X10 @
% 10.32/2.52 X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 10.32/2.52 | ~ (ssPv13_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X13 @ X12 @ X11 @ X10 @
% 10.32/2.52 X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 10.32/2.52 | (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X13 @ X12 @ X11 @ X10 @
% 10.32/2.52 X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0))),
% 10.32/2.52 inference('sup-', [status(thm)], [zip_derived_cl1037, zip_derived_cl1212])).
% 10.32/2.52 thf(zip_derived_cl1214, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.52 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 10.32/2.52 (~ (ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X13 @ X12 @ X11 @ X10 @ X9 @
% 10.32/2.52 X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2)
% 10.32/2.52 | (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X13 @ X12 @ X11 @ X10 @
% 10.32/2.52 X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 10.32/2.52 | ~ (ssPv13_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X13 @ X12 @ X11 @ X10 @
% 10.32/2.52 X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 10.32/2.52 | ~ (ssPv18_3r1r1r1 @ X13 @ X12 @ X11))),
% 10.32/2.52 inference('sup-', [status(thm)], [zip_derived_cl1073, zip_derived_cl1213])).
% 10.32/2.52 thf(zip_derived_cl1215, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.52 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 10.32/2.52 (~ (ssPv13_8r1r1r1r1r1r1r1r1 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @
% 10.32/2.52 X6)
% 10.32/2.52 | ~ (ssPv18_3r1r1r1 @ X13 @ X12 @ X11)
% 10.32/2.52 | (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X13 @ X12 @ X11 @ X10 @
% 10.32/2.52 X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 10.32/2.52 | ~ (ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X13 @ X12 @ X11 @ X10 @ X9 @
% 10.32/2.52 X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2))),
% 10.32/2.52 inference('sup-', [status(thm)], [zip_derived_cl1052, zip_derived_cl1214])).
% 10.32/2.52 thf(zip_derived_cl1225, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.52 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 10.32/2.52 (~ (ssPv19_2r1r1 @ X11 @ X10)
% 10.32/2.52 | ~ (ssPv13_8r1r1r1r1r1r1r1r1 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @
% 10.32/2.52 X4)
% 10.32/2.52 | (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X11 @ X10 @ X9 @ X8 @
% 10.32/2.52 X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X13 @ X12)
% 10.32/2.52 | ~ (ssPv18_3r1r1r1 @ X11 @ X10 @ X9)
% 10.32/2.52 | ~ (ssPv13_8r1r1r1r1r1r1r1r1 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @
% 10.32/2.52 X4))),
% 10.32/2.52 inference('sup-', [status(thm)], [zip_derived_cl1223, zip_derived_cl1215])).
% 10.32/2.52 thf(zip_derived_cl1226, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.52 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 10.32/2.52 (~ (ssPv18_3r1r1r1 @ X11 @ X10 @ X9)
% 10.32/2.52 | (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X11 @ X10 @ X9 @ X8 @
% 10.32/2.52 X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X13 @ X12)
% 10.32/2.52 | ~ (ssPv13_8r1r1r1r1r1r1r1r1 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @
% 10.32/2.52 X4)
% 10.32/2.52 | ~ (ssPv19_2r1r1 @ X11 @ X10))),
% 10.32/2.52 inference('simplify', [status(thm)], [zip_derived_cl1225])).
% 10.32/2.52 thf(clause224, conjecture,
% 10.32/2.52 (~( ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.32/2.52 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 10.32/2.52 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.32/2.52 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.32/2.52 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.32/2.52 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.32/2.52 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.32/2.52 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 10.32/2.52 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 10.32/2.52 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.52 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 10.32/2.52 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.52 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 10.32/2.52 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.52 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 10.32/2.52 ( ~( ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.52 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ skc21 ) ) ))).
% 10.32/2.52 thf(zf_stmt_49, negated_conjecture,
% 10.32/2.52 (( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.32/2.52 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.32/2.52 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.32/2.52 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.32/2.52 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.32/2.52 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.32/2.52 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 10.32/2.52 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 10.32/2.52 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.52 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 10.32/2.52 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.52 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 10.32/2.52 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.52 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 10.32/2.52 ( ~( ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.52 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ skc21 ) )),
% 10.32/2.52 inference('cnf.neg', [status(esa)], [clause224])).
% 10.32/2.52 thf(zip_derived_cl312, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.52 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 10.32/2.52 (~ (ssNder1_0)
% 10.32/2.52 | ~ (ssNder1_1r1 @ X0)
% 10.32/2.52 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 10.32/2.52 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 10.32/2.52 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 10.32/2.52 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 10.32/2.52 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 10.32/2.52 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 10.32/2.52 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.32/2.52 X7)
% 10.32/2.52 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.32/2.52 X6 @ X7 @ X8)
% 10.32/2.52 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.32/2.52 X6 @ X7 @ X8 @ X9)
% 10.32/2.52 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.32/2.52 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 10.32/2.52 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.32/2.52 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 10.32/2.52 | ~ (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.32/2.52 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ skc21))),
% 10.32/2.52 inference('cnf', [status(esa)], [zf_stmt_49])).
% 10.32/2.52 thf(zip_derived_cl535, plain, ( (ssNder1_0)),
% 10.32/2.52 inference('cnf', [status(esa)], [zf_stmt_1])).
% 10.32/2.52 thf(zip_derived_cl541, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 10.32/2.52 inference('demod', [status(thm)], [zip_derived_cl534, zip_derived_cl535])).
% 10.32/2.52 thf(zip_derived_cl542, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl533, zip_derived_cl535, zip_derived_cl541])).
% 10.32/2.52 thf(zip_derived_cl548, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl527, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.52 zip_derived_cl542])).
% 10.32/2.52 thf(zip_derived_cl568, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.32/2.52 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl519, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.52 zip_derived_cl542, zip_derived_cl548])).
% 10.32/2.52 thf(zip_derived_cl596, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 10.32/2.52 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl501, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.52 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568])).
% 10.32/2.52 thf(zip_derived_cl618, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.52 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 10.32/2.52 (~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 10.32/2.52 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 10.32/2.52 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.32/2.52 X7)
% 10.32/2.52 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.32/2.52 X6 @ X7 @ X8)
% 10.32/2.52 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.32/2.52 X6 @ X7 @ X8 @ X9)
% 10.32/2.52 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.32/2.52 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 10.32/2.52 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.32/2.52 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 10.32/2.52 | ~ (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.32/2.52 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ skc21))),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl312, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.52 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.52 zip_derived_cl596])).
% 10.32/2.52 thf(zip_derived_cl621, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 10.32/2.52 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl485, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.52 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.52 zip_derived_cl596])).
% 10.32/2.52 thf(zip_derived_cl627, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.52 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 10.32/2.52 (~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 10.32/2.52 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.32/2.52 X7)
% 10.32/2.52 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.32/2.52 X6 @ X7 @ X8)
% 10.32/2.52 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.32/2.52 X6 @ X7 @ X8 @ X9)
% 10.32/2.52 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.32/2.52 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 10.32/2.52 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.32/2.52 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 10.32/2.52 | ~ (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.32/2.52 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ skc21))),
% 10.32/2.52 inference('demod', [status(thm)], [zip_derived_cl618, zip_derived_cl621])).
% 10.32/2.52 thf(zip_derived_cl653, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 10.32/2.52 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl464, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.52 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.52 zip_derived_cl596, zip_derived_cl621])).
% 10.32/2.52 thf(zip_derived_cl657, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.52 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 10.32/2.52 (~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)
% 10.32/2.52 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.32/2.52 X6 @ X7 @ X8)
% 10.32/2.52 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.32/2.52 X6 @ X7 @ X8 @ X9)
% 10.32/2.52 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.32/2.52 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 10.32/2.52 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.32/2.52 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 10.32/2.52 | ~ (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.32/2.52 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ skc21))),
% 10.32/2.52 inference('demod', [status(thm)], [zip_derived_cl627, zip_derived_cl653])).
% 10.32/2.52 thf(zip_derived_cl690, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 10.32/2.52 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl441, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.52 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.52 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653])).
% 10.32/2.52 thf(zip_derived_cl693, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.52 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 10.32/2.52 (~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.32/2.52 X7 @ X8)
% 10.32/2.52 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.32/2.52 X6 @ X7 @ X8 @ X9)
% 10.32/2.52 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.32/2.52 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 10.32/2.52 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.32/2.52 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 10.32/2.52 | ~ (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.32/2.52 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ skc21))),
% 10.32/2.52 inference('demod', [status(thm)], [zip_derived_cl657, zip_derived_cl690])).
% 10.32/2.52 thf(zip_derived_cl735, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.52 X7 : $i, X8 : $i]:
% 10.32/2.52 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.32/2.52 X7 @ X8)),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl418, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.52 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.52 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653,
% 10.32/2.52 zip_derived_cl690])).
% 10.32/2.52 thf(zip_derived_cl738, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.52 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 10.32/2.52 (~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.32/2.52 X6 @ X7 @ X8 @ X9)
% 10.32/2.52 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.32/2.52 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 10.32/2.52 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.32/2.52 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 10.32/2.52 | ~ (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.32/2.52 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ skc21))),
% 10.32/2.52 inference('demod', [status(thm)], [zip_derived_cl693, zip_derived_cl735])).
% 10.32/2.52 thf(zip_derived_cl777, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.52 X7 : $i, X8 : $i, X9 : $i]:
% 10.32/2.52 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.32/2.52 X7 @ X8 @ X9)),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl396, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.52 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.52 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653,
% 10.32/2.52 zip_derived_cl690, zip_derived_cl735])).
% 10.32/2.52 thf(zip_derived_cl779, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.52 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 10.32/2.52 (~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.32/2.52 X6 @ X7 @ X8 @ X9 @ X10)
% 10.32/2.52 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.32/2.52 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 10.32/2.52 | ~ (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.32/2.52 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ skc21))),
% 10.32/2.52 inference('demod', [status(thm)], [zip_derived_cl738, zip_derived_cl777])).
% 10.32/2.52 thf(zip_derived_cl843, plain,
% 10.32/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.52 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 10.32/2.52 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.32/2.52 X6 @ X7 @ X8 @ X9 @ X10)),
% 10.32/2.52 inference('demod', [status(thm)],
% 10.32/2.52 [zip_derived_cl372, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.52 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.53 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653,
% 10.32/2.53 zip_derived_cl690, zip_derived_cl735, zip_derived_cl777])).
% 10.32/2.53 thf(zip_derived_cl845, plain,
% 10.32/2.53 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.53 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 10.32/2.53 (~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.32/2.53 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 10.32/2.53 | ~ (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.32/2.53 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ skc21))),
% 10.32/2.53 inference('demod', [status(thm)], [zip_derived_cl779, zip_derived_cl843])).
% 10.32/2.53 thf(zip_derived_cl903, plain,
% 10.32/2.53 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.53 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 10.32/2.53 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.32/2.53 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 10.32/2.53 inference('demod', [status(thm)],
% 10.32/2.53 [zip_derived_cl345, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.53 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.53 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653,
% 10.32/2.53 zip_derived_cl690, zip_derived_cl735, zip_derived_cl777,
% 10.32/2.53 zip_derived_cl843])).
% 10.32/2.53 thf(zip_derived_cl904, plain,
% 10.32/2.53 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.53 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 10.32/2.53 ~ (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.32/2.53 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ skc21)),
% 10.32/2.53 inference('demod', [status(thm)], [zip_derived_cl845, zip_derived_cl903])).
% 10.32/2.53 thf(zip_derived_cl1229, plain,
% 10.32/2.53 (![X5 : $i, X6 : $i, X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i,
% 10.32/2.53 X12 : $i]:
% 10.32/2.53 (~ (ssPv19_2r1r1 @ X12 @ X11)
% 10.32/2.53 | ~ (ssPv13_8r1r1r1r1r1r1r1r1 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @
% 10.32/2.53 X6 @ X5)
% 10.32/2.53 | ~ (ssPv18_3r1r1r1 @ X12 @ X11 @ X10))),
% 10.32/2.53 inference('sup-', [status(thm)], [zip_derived_cl1226, zip_derived_cl904])).
% 10.32/2.53 thf(zip_derived_cl1236, plain,
% 10.32/2.53 (![X4 : $i, X5 : $i, X6 : $i]:
% 10.32/2.53 (~ (ssPv18_3r1r1r1 @ X6 @ X5 @ X4) | ~ (ssPv19_2r1r1 @ X6 @ X5))),
% 10.32/2.53 inference('sup-', [status(thm)], [zip_derived_cl664, zip_derived_cl1229])).
% 10.32/2.53 thf(zip_derived_cl1237, plain,
% 10.32/2.53 (![X1 : $i, X2 : $i]: ( (ssPv20_1r1 @ X2) | ~ (ssPv19_2r1r1 @ X2 @ X1))),
% 10.32/2.53 inference('sup-', [status(thm)], [zip_derived_cl833, zip_derived_cl1236])).
% 10.32/2.53 thf(zip_derived_cl1341, plain,
% 10.32/2.53 (![X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i, X8 : $i, X9 : $i]:
% 10.32/2.53 ( (ssPv20_1r1 @ X9)
% 10.32/2.53 | (ssPv15_6r1r1r1r1r1r1 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4)
% 10.32/2.53 | ~ (ssPv13_8r1r1r1r1r1r1r1r1 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2)
% 10.32/2.53 | (ssPv16_5r1r1r1r1r1 @ X9 @ X8 @ X7 @ X6 @ X5))),
% 10.32/2.53 inference('clc', [status(thm)], [zip_derived_cl1340, zip_derived_cl1237])).
% 10.32/2.53 thf(zip_derived_cl1342, plain,
% 10.32/2.53 (![X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 10.32/2.53 ( (ssPv16_5r1r1r1r1r1 @ X6 @ X5 @ X4 @ X3 @ X2)
% 10.32/2.53 | (ssPv15_6r1r1r1r1r1r1 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1)
% 10.32/2.53 | (ssPv20_1r1 @ X6))),
% 10.32/2.53 inference('sup-', [status(thm)], [zip_derived_cl664, zip_derived_cl1341])).
% 10.32/2.53 thf(clause37, conjecture,
% 10.32/2.53 (~( ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.32/2.53 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 10.32/2.53 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.32/2.53 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.32/2.53 ( ~( ssPv15_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ skc29 ) ) ))).
% 10.32/2.53 thf(zf_stmt_50, negated_conjecture,
% 10.32/2.53 (( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.32/2.53 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.32/2.53 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.32/2.53 ( ~( ssPv15_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ skc29 ) )),
% 10.32/2.53 inference('cnf.neg', [status(esa)], [clause37])).
% 10.32/2.53 thf(zip_derived_cl499, plain,
% 10.32/2.53 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 10.32/2.53 (~ (ssNder1_0)
% 10.32/2.53 | ~ (ssNder1_1r1 @ X0)
% 10.32/2.53 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 10.32/2.53 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 10.32/2.53 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 10.32/2.53 | ~ (ssPv15_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ skc29))),
% 10.32/2.53 inference('cnf', [status(esa)], [zf_stmt_50])).
% 10.32/2.53 thf(zip_derived_cl535, plain, ( (ssNder1_0)),
% 10.32/2.53 inference('cnf', [status(esa)], [zf_stmt_1])).
% 10.32/2.53 thf(zip_derived_cl538, plain,
% 10.32/2.53 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 10.32/2.53 (~ (ssNder1_1r1 @ X0)
% 10.32/2.53 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 10.32/2.53 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 10.32/2.53 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 10.32/2.53 | ~ (ssPv15_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ skc29))),
% 10.32/2.53 inference('demod', [status(thm)], [zip_derived_cl499, zip_derived_cl535])).
% 10.32/2.53 thf(zip_derived_cl541, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 10.32/2.53 inference('demod', [status(thm)], [zip_derived_cl534, zip_derived_cl535])).
% 10.32/2.53 thf(zip_derived_cl542, plain,
% 10.32/2.53 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 10.32/2.53 inference('demod', [status(thm)],
% 10.32/2.53 [zip_derived_cl533, zip_derived_cl535, zip_derived_cl541])).
% 10.32/2.53 thf(zip_derived_cl548, plain,
% 10.32/2.53 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 10.32/2.53 inference('demod', [status(thm)],
% 10.32/2.53 [zip_derived_cl527, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.53 zip_derived_cl542])).
% 10.32/2.53 thf(zip_derived_cl560, plain,
% 10.32/2.53 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 10.32/2.53 (~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 10.32/2.53 | ~ (ssPv15_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ skc29))),
% 10.32/2.53 inference('demod', [status(thm)],
% 10.32/2.53 [zip_derived_cl538, zip_derived_cl541, zip_derived_cl542,
% 10.32/2.53 zip_derived_cl548])).
% 10.32/2.53 thf(zip_derived_cl568, plain,
% 10.32/2.53 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.32/2.53 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 10.32/2.53 inference('demod', [status(thm)],
% 10.32/2.53 [zip_derived_cl519, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.53 zip_derived_cl542, zip_derived_cl548])).
% 10.32/2.53 thf(zip_derived_cl569, plain,
% 10.32/2.53 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 10.32/2.53 ~ (ssPv15_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ skc29)),
% 10.32/2.53 inference('demod', [status(thm)], [zip_derived_cl560, zip_derived_cl568])).
% 10.32/2.53 thf(zip_derived_cl1345, plain,
% 10.32/2.53 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 10.32/2.53 ( (ssPv20_1r1 @ X4) | (ssPv16_5r1r1r1r1r1 @ X4 @ X3 @ X2 @ X1 @ X0))),
% 10.32/2.53 inference('sup-', [status(thm)], [zip_derived_cl1342, zip_derived_cl569])).
% 10.32/2.53 thf(zip_derived_cl554, plain,
% 10.32/2.53 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.32/2.53 ~ (ssPv16_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ skc31)),
% 10.32/2.53 inference('demod', [status(thm)],
% 10.32/2.53 [zip_derived_cl539, zip_derived_cl541, zip_derived_cl542,
% 10.32/2.53 zip_derived_cl548])).
% 10.32/2.53 thf(zip_derived_cl1347, plain, (![X3 : $i]: (ssPv20_1r1 @ X3)),
% 10.32/2.53 inference('sup-', [status(thm)], [zip_derived_cl1345, zip_derived_cl554])).
% 10.32/2.53 thf(zip_derived_cl542, plain,
% 10.32/2.53 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 10.32/2.53 inference('demod', [status(thm)],
% 10.32/2.53 [zip_derived_cl533, zip_derived_cl535, zip_derived_cl541])).
% 10.32/2.53 thf(zip_derived_cl548, plain,
% 10.32/2.53 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 10.32/2.53 inference('demod', [status(thm)],
% 10.32/2.53 [zip_derived_cl527, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.53 zip_derived_cl542])).
% 10.32/2.53 thf(zip_derived_cl568, plain,
% 10.32/2.53 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.32/2.53 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 10.32/2.53 inference('demod', [status(thm)],
% 10.32/2.53 [zip_derived_cl519, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.53 zip_derived_cl542, zip_derived_cl548])).
% 10.32/2.53 thf(zip_derived_cl596, plain,
% 10.32/2.53 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 10.32/2.53 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 10.32/2.53 inference('demod', [status(thm)],
% 10.32/2.53 [zip_derived_cl501, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.53 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568])).
% 10.32/2.53 thf(zip_derived_cl621, plain,
% 10.32/2.53 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 10.32/2.53 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 10.32/2.53 inference('demod', [status(thm)],
% 10.32/2.53 [zip_derived_cl485, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.53 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.53 zip_derived_cl596])).
% 10.32/2.53 thf(zip_derived_cl653, plain,
% 10.32/2.53 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 10.32/2.53 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 10.32/2.53 inference('demod', [status(thm)],
% 10.32/2.53 [zip_derived_cl464, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.53 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.53 zip_derived_cl596, zip_derived_cl621])).
% 10.32/2.53 thf(zip_derived_cl690, plain,
% 10.32/2.53 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 10.32/2.53 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 10.32/2.53 inference('demod', [status(thm)],
% 10.32/2.53 [zip_derived_cl441, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.53 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.53 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653])).
% 10.32/2.53 thf(zip_derived_cl735, plain,
% 10.32/2.53 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.53 X7 : $i, X8 : $i]:
% 10.32/2.53 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.32/2.53 X7 @ X8)),
% 10.32/2.53 inference('demod', [status(thm)],
% 10.32/2.53 [zip_derived_cl418, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.53 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.53 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653,
% 10.32/2.53 zip_derived_cl690])).
% 10.32/2.53 thf(zip_derived_cl777, plain,
% 10.32/2.53 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.53 X7 : $i, X8 : $i, X9 : $i]:
% 10.32/2.53 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.32/2.53 X7 @ X8 @ X9)),
% 10.32/2.53 inference('demod', [status(thm)],
% 10.32/2.53 [zip_derived_cl396, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.53 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.53 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653,
% 10.32/2.53 zip_derived_cl690, zip_derived_cl735])).
% 10.32/2.53 thf(zip_derived_cl843, plain,
% 10.32/2.53 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.53 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 10.32/2.53 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.32/2.53 X6 @ X7 @ X8 @ X9 @ X10)),
% 10.32/2.53 inference('demod', [status(thm)],
% 10.32/2.53 [zip_derived_cl372, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.53 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.53 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653,
% 10.32/2.53 zip_derived_cl690, zip_derived_cl735, zip_derived_cl777])).
% 10.32/2.53 thf(zip_derived_cl903, plain,
% 10.32/2.53 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.53 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 10.32/2.53 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.32/2.53 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 10.32/2.53 inference('demod', [status(thm)],
% 10.32/2.53 [zip_derived_cl345, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.53 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.53 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653,
% 10.32/2.53 zip_derived_cl690, zip_derived_cl735, zip_derived_cl777,
% 10.32/2.53 zip_derived_cl843])).
% 10.32/2.53 thf(zip_derived_cl974, plain,
% 10.32/2.53 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.53 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 10.32/2.53 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.32/2.53 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 10.32/2.53 inference('demod', [status(thm)],
% 10.32/2.53 [zip_derived_cl314, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.53 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.53 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653,
% 10.32/2.53 zip_derived_cl690, zip_derived_cl735, zip_derived_cl777,
% 10.32/2.53 zip_derived_cl843, zip_derived_cl903])).
% 10.32/2.53 thf(zip_derived_cl1021, plain,
% 10.32/2.53 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.53 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 10.32/2.53 (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.32/2.53 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)),
% 10.32/2.53 inference('demod', [status(thm)],
% 10.32/2.53 [zip_derived_cl283, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.53 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.53 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653,
% 10.32/2.53 zip_derived_cl690, zip_derived_cl735, zip_derived_cl777,
% 10.32/2.53 zip_derived_cl843, zip_derived_cl903, zip_derived_cl974])).
% 10.32/2.53 thf(zip_derived_cl1079, plain,
% 10.32/2.53 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.53 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 10.32/2.53 X14 : $i]:
% 10.32/2.53 (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.32/2.53 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)),
% 10.32/2.53 inference('demod', [status(thm)],
% 10.32/2.53 [zip_derived_cl252, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.53 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.53 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653,
% 10.32/2.53 zip_derived_cl690, zip_derived_cl735, zip_derived_cl777,
% 10.32/2.53 zip_derived_cl843, zip_derived_cl903, zip_derived_cl974,
% 10.32/2.53 zip_derived_cl1021])).
% 10.32/2.53 thf(zip_derived_cl1147, plain,
% 10.32/2.53 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.53 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 10.32/2.53 X14 : $i, X15 : $i]:
% 10.32/2.53 (ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.32/2.53 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15)),
% 10.32/2.53 inference('demod', [status(thm)],
% 10.32/2.53 [zip_derived_cl214, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.53 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.53 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653,
% 10.32/2.53 zip_derived_cl690, zip_derived_cl735, zip_derived_cl777,
% 10.32/2.53 zip_derived_cl843, zip_derived_cl903, zip_derived_cl974,
% 10.32/2.53 zip_derived_cl1021, zip_derived_cl1079])).
% 10.32/2.53 thf(zip_derived_cl1289, plain,
% 10.32/2.53 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.53 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 10.32/2.53 X14 : $i, X15 : $i, X16 : $i]:
% 10.32/2.53 (ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.32/2.53 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @
% 10.32/2.53 X16)),
% 10.32/2.53 inference('demod', [status(thm)],
% 10.32/2.53 [zip_derived_cl173, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.53 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.53 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653,
% 10.32/2.53 zip_derived_cl690, zip_derived_cl735, zip_derived_cl777,
% 10.32/2.53 zip_derived_cl843, zip_derived_cl903, zip_derived_cl974,
% 10.32/2.53 zip_derived_cl1021, zip_derived_cl1079, zip_derived_cl1147])).
% 10.32/2.53 thf(zip_derived_cl1449, plain,
% 10.32/2.53 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.53 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 10.32/2.53 X14 : $i, X15 : $i, X16 : $i, X17 : $i]:
% 10.32/2.53 (ssPv20_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.32/2.53 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @
% 10.32/2.53 X16 @ X17)),
% 10.32/2.53 inference('demod', [status(thm)],
% 10.32/2.53 [zip_derived_cl130, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.53 zip_derived_cl1347, zip_derived_cl542, zip_derived_cl548,
% 10.32/2.53 zip_derived_cl568, zip_derived_cl596, zip_derived_cl621,
% 10.32/2.53 zip_derived_cl653, zip_derived_cl690, zip_derived_cl735,
% 10.32/2.53 zip_derived_cl777, zip_derived_cl843, zip_derived_cl903,
% 10.32/2.53 zip_derived_cl974, zip_derived_cl1021, zip_derived_cl1079,
% 10.32/2.53 zip_derived_cl1147, zip_derived_cl1289])).
% 10.32/2.53 thf(zip_derived_cl1669, plain,
% 10.32/2.53 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.53 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 10.32/2.53 X14 : $i, X15 : $i, X16 : $i, X17 : $i]:
% 10.32/2.53 ( (ssPv14_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 10.32/2.53 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @
% 10.32/2.53 X15 @ X16 @ X17)
% 10.32/2.53 | (ssPv3_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 10.32/2.53 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @
% 10.32/2.53 X15 @ X16 @ X17)
% 10.32/2.53 | ~ (ssPv5_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 10.32/2.53 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 10.32/2.53 X14 @ X15 @ X16 @ X17))),
% 10.32/2.53 inference('demod', [status(thm)],
% 10.32/2.53 [zip_derived_cl19, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.53 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.53 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653,
% 10.32/2.53 zip_derived_cl690, zip_derived_cl735, zip_derived_cl777,
% 10.32/2.53 zip_derived_cl843, zip_derived_cl903, zip_derived_cl974,
% 10.32/2.53 zip_derived_cl1021, zip_derived_cl1079, zip_derived_cl1147,
% 10.32/2.53 zip_derived_cl1289, zip_derived_cl1449])).
% 10.32/2.53 thf(clause520, conjecture,
% 10.32/2.53 (~( ( ssPv14_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.53 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 10.32/2.53 X10 @ X11 @ X12 ) |
% 10.32/2.53 ( ssPv6_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.53 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 10.32/2.53 X10 @ X11 @ X12 ) |
% 10.32/2.53 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.32/2.53 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 10.32/2.53 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.32/2.53 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.32/2.53 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.32/2.53 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.32/2.53 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.32/2.53 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 10.32/2.53 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 10.32/2.53 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.53 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 10.32/2.53 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.53 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 10.32/2.53 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.53 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 10.32/2.53 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.53 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 10.32/2.53 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.53 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 10.32/2.53 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.53 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 10.32/2.53 ( ~( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.53 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 10.32/2.53 X9 @ X10 ) ) |
% 10.32/2.53 ( ~( ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.53 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 10.32/2.53 X9 @ X10 @ X11 ) ) |
% 10.32/2.53 ( ~( ssPv20_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.53 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 10.32/2.53 X9 @ X10 @ X11 @ X12 ) ) |
% 10.32/2.53 ( ~( ssPv3_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.53 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 10.32/2.53 X9 @ X10 @ X11 @ X12 ) ) ))).
% 10.32/2.53 thf(zf_stmt_51, negated_conjecture,
% 10.32/2.53 (( ssPv14_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.53 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 10.32/2.53 X10 @ X11 @ X12 ) |
% 10.32/2.53 ( ssPv6_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.53 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 10.32/2.53 X10 @ X11 @ X12 ) |
% 10.32/2.53 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.32/2.53 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.32/2.53 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.32/2.53 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.32/2.53 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.32/2.53 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.32/2.53 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 10.32/2.53 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 10.32/2.53 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.53 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 10.32/2.53 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.53 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 10.32/2.53 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.53 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 10.32/2.53 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.53 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 10.32/2.53 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.53 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 10.32/2.53 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.53 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 10.32/2.53 ( ~( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.53 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 10.32/2.53 X10 ) ) |
% 10.32/2.53 ( ~( ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.53 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 10.32/2.53 X10 @ X11 ) ) |
% 10.32/2.53 ( ~( ssPv20_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.53 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 10.32/2.53 X10 @ X11 @ X12 ) ) |
% 10.32/2.53 ( ~( ssPv3_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.53 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 10.32/2.53 X10 @ X11 @ X12 ) )),
% 10.32/2.53 inference('cnf.neg', [status(esa)], [clause520])).
% 10.32/2.53 thf(zip_derived_cl16, plain,
% 10.32/2.53 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.53 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 10.32/2.53 X14 : $i, X15 : $i, X16 : $i, X17 : $i]:
% 10.32/2.53 ( (ssPv14_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 10.32/2.53 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @
% 10.32/2.53 X15 @ X16 @ X17)
% 10.32/2.53 | (ssPv6_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 10.32/2.53 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @
% 10.32/2.53 X15 @ X16 @ X17)
% 10.32/2.53 | ~ (ssNder1_0)
% 10.32/2.53 | ~ (ssNder1_1r1 @ X0)
% 10.32/2.53 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 10.32/2.53 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 10.32/2.53 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 10.32/2.53 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 10.32/2.53 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 10.32/2.53 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 10.32/2.53 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.32/2.53 X7)
% 10.32/2.53 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.32/2.53 X6 @ X7 @ X8)
% 10.32/2.53 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.32/2.53 X6 @ X7 @ X8 @ X9)
% 10.32/2.53 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.32/2.53 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 10.32/2.53 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.32/2.53 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 10.32/2.53 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.32/2.53 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 10.32/2.53 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.32/2.53 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 10.32/2.53 | ~ (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.32/2.53 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 10.32/2.53 | ~ (ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 10.32/2.53 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 10.32/2.53 X14 @ X15)
% 10.32/2.53 | ~ (ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 10.32/2.53 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 10.32/2.53 X14 @ X15 @ X16)
% 10.32/2.53 | ~ (ssPv20_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 10.32/2.53 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 10.32/2.53 X14 @ X15 @ X16 @ X17)
% 10.32/2.53 | ~ (ssPv3_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 10.32/2.53 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 10.32/2.53 X14 @ X15 @ X16 @ X17))),
% 10.32/2.53 inference('cnf', [status(esa)], [zf_stmt_51])).
% 10.32/2.53 thf(zip_derived_cl535, plain, ( (ssNder1_0)),
% 10.32/2.53 inference('cnf', [status(esa)], [zf_stmt_1])).
% 10.32/2.53 thf(zip_derived_cl541, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 10.32/2.53 inference('demod', [status(thm)], [zip_derived_cl534, zip_derived_cl535])).
% 10.32/2.53 thf(zip_derived_cl542, plain,
% 10.32/2.53 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 10.32/2.53 inference('demod', [status(thm)],
% 10.32/2.53 [zip_derived_cl533, zip_derived_cl535, zip_derived_cl541])).
% 10.32/2.53 thf(zip_derived_cl548, plain,
% 10.32/2.53 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 10.32/2.53 inference('demod', [status(thm)],
% 10.32/2.53 [zip_derived_cl527, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.53 zip_derived_cl542])).
% 10.32/2.53 thf(zip_derived_cl568, plain,
% 10.32/2.53 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.32/2.53 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 10.32/2.53 inference('demod', [status(thm)],
% 10.32/2.53 [zip_derived_cl519, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.53 zip_derived_cl542, zip_derived_cl548])).
% 10.32/2.53 thf(zip_derived_cl596, plain,
% 10.32/2.53 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 10.32/2.53 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 10.32/2.53 inference('demod', [status(thm)],
% 10.32/2.53 [zip_derived_cl501, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.53 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568])).
% 10.32/2.53 thf(zip_derived_cl621, plain,
% 10.32/2.53 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 10.32/2.53 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 10.32/2.53 inference('demod', [status(thm)],
% 10.32/2.53 [zip_derived_cl485, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.53 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.53 zip_derived_cl596])).
% 10.32/2.53 thf(zip_derived_cl653, plain,
% 10.32/2.53 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 10.32/2.53 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 10.32/2.53 inference('demod', [status(thm)],
% 10.32/2.53 [zip_derived_cl464, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.53 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.53 zip_derived_cl596, zip_derived_cl621])).
% 10.32/2.53 thf(zip_derived_cl690, plain,
% 10.32/2.53 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 10.32/2.53 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 10.32/2.53 inference('demod', [status(thm)],
% 10.32/2.53 [zip_derived_cl441, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.53 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.53 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653])).
% 10.32/2.53 thf(zip_derived_cl735, plain,
% 10.32/2.53 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.53 X7 : $i, X8 : $i]:
% 10.32/2.53 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.32/2.53 X7 @ X8)),
% 10.32/2.53 inference('demod', [status(thm)],
% 10.32/2.54 [zip_derived_cl418, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.54 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.54 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653,
% 10.32/2.54 zip_derived_cl690])).
% 10.32/2.54 thf(zip_derived_cl777, plain,
% 10.32/2.54 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.54 X7 : $i, X8 : $i, X9 : $i]:
% 10.32/2.54 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.32/2.54 X7 @ X8 @ X9)),
% 10.32/2.54 inference('demod', [status(thm)],
% 10.32/2.54 [zip_derived_cl396, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.54 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.54 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653,
% 10.32/2.54 zip_derived_cl690, zip_derived_cl735])).
% 10.32/2.54 thf(zip_derived_cl843, plain,
% 10.32/2.54 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.54 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 10.32/2.54 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.32/2.54 X6 @ X7 @ X8 @ X9 @ X10)),
% 10.32/2.54 inference('demod', [status(thm)],
% 10.32/2.54 [zip_derived_cl372, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.54 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.54 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653,
% 10.32/2.54 zip_derived_cl690, zip_derived_cl735, zip_derived_cl777])).
% 10.32/2.54 thf(zip_derived_cl903, plain,
% 10.32/2.54 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.54 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 10.32/2.54 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.32/2.54 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 10.32/2.54 inference('demod', [status(thm)],
% 10.32/2.54 [zip_derived_cl345, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.54 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.54 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653,
% 10.32/2.54 zip_derived_cl690, zip_derived_cl735, zip_derived_cl777,
% 10.32/2.54 zip_derived_cl843])).
% 10.32/2.54 thf(zip_derived_cl974, plain,
% 10.32/2.54 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.54 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 10.32/2.54 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.32/2.54 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 10.32/2.54 inference('demod', [status(thm)],
% 10.32/2.54 [zip_derived_cl314, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.54 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.54 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653,
% 10.32/2.54 zip_derived_cl690, zip_derived_cl735, zip_derived_cl777,
% 10.32/2.54 zip_derived_cl843, zip_derived_cl903])).
% 10.32/2.54 thf(zip_derived_cl1021, plain,
% 10.32/2.54 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.54 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 10.32/2.54 (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.32/2.54 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)),
% 10.32/2.54 inference('demod', [status(thm)],
% 10.32/2.54 [zip_derived_cl283, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.54 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.54 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653,
% 10.32/2.54 zip_derived_cl690, zip_derived_cl735, zip_derived_cl777,
% 10.32/2.54 zip_derived_cl843, zip_derived_cl903, zip_derived_cl974])).
% 10.32/2.54 thf(zip_derived_cl1079, plain,
% 10.32/2.54 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.54 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 10.32/2.54 X14 : $i]:
% 10.32/2.54 (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.32/2.54 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)),
% 10.32/2.54 inference('demod', [status(thm)],
% 10.32/2.54 [zip_derived_cl252, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.54 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.54 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653,
% 10.32/2.54 zip_derived_cl690, zip_derived_cl735, zip_derived_cl777,
% 10.32/2.54 zip_derived_cl843, zip_derived_cl903, zip_derived_cl974,
% 10.32/2.54 zip_derived_cl1021])).
% 10.32/2.54 thf(zip_derived_cl1147, plain,
% 10.32/2.54 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.54 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 10.32/2.54 X14 : $i, X15 : $i]:
% 10.32/2.54 (ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.32/2.54 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15)),
% 10.32/2.54 inference('demod', [status(thm)],
% 10.32/2.54 [zip_derived_cl214, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.54 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.54 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653,
% 10.32/2.54 zip_derived_cl690, zip_derived_cl735, zip_derived_cl777,
% 10.32/2.54 zip_derived_cl843, zip_derived_cl903, zip_derived_cl974,
% 10.32/2.54 zip_derived_cl1021, zip_derived_cl1079])).
% 10.32/2.54 thf(zip_derived_cl1289, plain,
% 10.32/2.54 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.54 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 10.32/2.54 X14 : $i, X15 : $i, X16 : $i]:
% 10.32/2.54 (ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.32/2.54 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @
% 10.32/2.54 X16)),
% 10.32/2.54 inference('demod', [status(thm)],
% 10.32/2.54 [zip_derived_cl173, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.54 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.54 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653,
% 10.32/2.54 zip_derived_cl690, zip_derived_cl735, zip_derived_cl777,
% 10.32/2.54 zip_derived_cl843, zip_derived_cl903, zip_derived_cl974,
% 10.32/2.54 zip_derived_cl1021, zip_derived_cl1079, zip_derived_cl1147])).
% 10.32/2.54 thf(zip_derived_cl1449, plain,
% 10.32/2.54 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.54 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 10.32/2.54 X14 : $i, X15 : $i, X16 : $i, X17 : $i]:
% 10.32/2.54 (ssPv20_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.32/2.54 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @
% 10.32/2.54 X16 @ X17)),
% 10.32/2.54 inference('demod', [status(thm)],
% 10.32/2.54 [zip_derived_cl130, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.54 zip_derived_cl1347, zip_derived_cl542, zip_derived_cl548,
% 10.32/2.54 zip_derived_cl568, zip_derived_cl596, zip_derived_cl621,
% 10.32/2.54 zip_derived_cl653, zip_derived_cl690, zip_derived_cl735,
% 10.32/2.54 zip_derived_cl777, zip_derived_cl843, zip_derived_cl903,
% 10.32/2.54 zip_derived_cl974, zip_derived_cl1021, zip_derived_cl1079,
% 10.32/2.54 zip_derived_cl1147, zip_derived_cl1289])).
% 10.32/2.54 thf(zip_derived_cl1640, plain,
% 10.32/2.54 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.54 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 10.32/2.54 X14 : $i, X15 : $i, X16 : $i, X17 : $i]:
% 10.32/2.54 ( (ssPv14_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 10.32/2.54 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @
% 10.32/2.54 X15 @ X16 @ X17)
% 10.32/2.54 | (ssPv6_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 10.32/2.54 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @
% 10.32/2.54 X15 @ X16 @ X17)
% 10.32/2.54 | ~ (ssPv3_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 10.32/2.54 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 10.32/2.54 X14 @ X15 @ X16 @ X17))),
% 10.32/2.54 inference('demod', [status(thm)],
% 10.32/2.54 [zip_derived_cl16, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.54 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.54 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653,
% 10.32/2.54 zip_derived_cl690, zip_derived_cl735, zip_derived_cl777,
% 10.32/2.54 zip_derived_cl843, zip_derived_cl903, zip_derived_cl974,
% 10.32/2.54 zip_derived_cl1021, zip_derived_cl1079, zip_derived_cl1147,
% 10.32/2.54 zip_derived_cl1289, zip_derived_cl1449])).
% 10.32/2.54 thf(zip_derived_cl1671, plain,
% 10.32/2.54 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.54 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 10.32/2.54 X14 : $i, X15 : $i, X16 : $i, X17 : $i]:
% 10.32/2.54 (~ (ssPv5_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X17 @ X16 @ X15 @
% 10.32/2.54 X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @
% 10.32/2.54 X2 @ X1 @ X0)
% 10.32/2.54 | (ssPv14_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X17 @ X16 @
% 10.32/2.54 X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @
% 10.32/2.54 X4 @ X3 @ X2 @ X1 @ X0)
% 10.32/2.54 | (ssPv6_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X17 @ X16 @ X15 @
% 10.32/2.54 X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @
% 10.32/2.54 X2 @ X1 @ X0)
% 10.32/2.54 | (ssPv14_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X17 @ X16 @
% 10.32/2.54 X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @
% 10.32/2.54 X4 @ X3 @ X2 @ X1 @ X0))),
% 10.32/2.54 inference('sup-', [status(thm)], [zip_derived_cl1669, zip_derived_cl1640])).
% 10.32/2.54 thf(zip_derived_cl1673, plain,
% 10.32/2.54 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.54 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 10.32/2.54 X14 : $i, X15 : $i, X16 : $i, X17 : $i]:
% 10.32/2.54 ( (ssPv6_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X17 @ X16 @ X15 @
% 10.32/2.54 X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @
% 10.32/2.54 X2 @ X1 @ X0)
% 10.32/2.54 | (ssPv14_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X17 @ X16 @
% 10.32/2.54 X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @
% 10.32/2.54 X4 @ X3 @ X2 @ X1 @ X0)
% 10.32/2.54 | ~ (ssPv5_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X17 @ X16 @
% 10.32/2.54 X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @
% 10.32/2.54 X4 @ X3 @ X2 @ X1 @ X0))),
% 10.32/2.54 inference('simplify', [status(thm)], [zip_derived_cl1671])).
% 10.32/2.54 thf(zip_derived_cl1675, plain,
% 10.32/2.54 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.54 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 10.32/2.54 X14 : $i, X15 : $i, X16 : $i, X17 : $i]:
% 10.32/2.54 (~ (ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X17 @ X16 @ X15 @
% 10.32/2.54 X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @
% 10.32/2.54 X2)
% 10.32/2.54 | (ssPv14_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X17 @ X16 @
% 10.32/2.54 X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @
% 10.32/2.54 X4 @ X3 @ X2 @ X1 @ X0)
% 10.32/2.54 | (ssPv6_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X17 @ X16 @ X15 @
% 10.32/2.54 X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @
% 10.32/2.54 X2 @ X1 @ X0))),
% 10.32/2.54 inference('sup-', [status(thm)], [zip_derived_cl1557, zip_derived_cl1673])).
% 10.32/2.54 thf(clause443, conjecture,
% 10.32/2.54 (~( ( ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.54 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) |
% 10.32/2.54 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.32/2.54 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 10.32/2.54 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.32/2.54 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.32/2.54 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.32/2.54 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.32/2.54 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.32/2.54 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 10.32/2.54 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 10.32/2.54 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.54 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 10.32/2.54 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.54 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 10.32/2.54 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.54 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 10.32/2.54 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.54 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 10.32/2.54 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.54 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 10.32/2.54 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.54 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 10.32/2.54 ( ~( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.54 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 10.32/2.54 X9 @ X10 ) ) |
% 10.32/2.54 ( ~( ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.54 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 10.32/2.54 X9 @ X10 @ X11 ) ) |
% 10.32/2.54 ( ~( ssPv6_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.54 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 10.32/2.54 X9 @ X10 @ X11 @ X12 ) ) ))).
% 10.32/2.54 thf(zf_stmt_52, negated_conjecture,
% 10.32/2.54 (( ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.54 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) |
% 10.32/2.54 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.32/2.54 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.32/2.54 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.32/2.54 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.32/2.54 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.32/2.54 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.32/2.54 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 10.32/2.54 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 10.32/2.54 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.54 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 10.32/2.54 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.54 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 10.32/2.54 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.54 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 10.32/2.54 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.54 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 10.32/2.54 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.54 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 10.32/2.54 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.54 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 10.32/2.54 ( ~( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.54 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 10.32/2.54 X10 ) ) |
% 10.32/2.54 ( ~( ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.54 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 10.32/2.54 X10 @ X11 ) ) |
% 10.32/2.54 ( ~( ssPv6_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.54 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 10.32/2.54 X10 @ X11 @ X12 ) )),
% 10.32/2.54 inference('cnf.neg', [status(esa)], [clause443])).
% 10.32/2.54 thf(zip_derived_cl93, plain,
% 10.32/2.54 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.54 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 10.32/2.54 X14 : $i, X15 : $i, X16 : $i, X17 : $i]:
% 10.32/2.54 ( (ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.32/2.54 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 10.32/2.54 | ~ (ssNder1_0)
% 10.32/2.54 | ~ (ssNder1_1r1 @ X0)
% 10.32/2.54 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 10.32/2.54 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 10.32/2.54 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 10.32/2.54 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 10.32/2.54 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 10.32/2.54 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 10.32/2.54 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.32/2.54 X7)
% 10.32/2.54 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.32/2.54 X6 @ X7 @ X8)
% 10.32/2.54 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.32/2.54 X6 @ X7 @ X8 @ X9)
% 10.32/2.54 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.32/2.54 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 10.32/2.54 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.32/2.54 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 10.32/2.54 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.32/2.54 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 10.32/2.54 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.32/2.54 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 10.32/2.54 | ~ (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.32/2.54 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 10.32/2.54 | ~ (ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 10.32/2.54 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 10.32/2.54 X14 @ X15)
% 10.32/2.54 | ~ (ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 10.32/2.54 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 10.32/2.54 X14 @ X15 @ X16)
% 10.32/2.54 | ~ (ssPv6_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 10.32/2.54 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 10.32/2.54 X14 @ X15 @ X16 @ X17))),
% 10.32/2.54 inference('cnf', [status(esa)], [zf_stmt_52])).
% 10.32/2.54 thf(zip_derived_cl535, plain, ( (ssNder1_0)),
% 10.32/2.54 inference('cnf', [status(esa)], [zf_stmt_1])).
% 10.32/2.54 thf(zip_derived_cl541, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 10.32/2.54 inference('demod', [status(thm)], [zip_derived_cl534, zip_derived_cl535])).
% 10.32/2.54 thf(zip_derived_cl542, plain,
% 10.32/2.54 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 10.32/2.54 inference('demod', [status(thm)],
% 10.32/2.54 [zip_derived_cl533, zip_derived_cl535, zip_derived_cl541])).
% 10.32/2.54 thf(zip_derived_cl548, plain,
% 10.32/2.54 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 10.32/2.54 inference('demod', [status(thm)],
% 10.32/2.54 [zip_derived_cl527, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.54 zip_derived_cl542])).
% 10.32/2.54 thf(zip_derived_cl568, plain,
% 10.32/2.54 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.32/2.54 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 10.32/2.54 inference('demod', [status(thm)],
% 10.32/2.54 [zip_derived_cl519, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.54 zip_derived_cl542, zip_derived_cl548])).
% 10.32/2.54 thf(zip_derived_cl596, plain,
% 10.32/2.54 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 10.32/2.54 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 10.32/2.54 inference('demod', [status(thm)],
% 10.32/2.54 [zip_derived_cl501, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.54 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568])).
% 10.32/2.54 thf(zip_derived_cl621, plain,
% 10.32/2.54 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 10.32/2.54 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 10.32/2.54 inference('demod', [status(thm)],
% 10.32/2.54 [zip_derived_cl485, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.54 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.54 zip_derived_cl596])).
% 10.32/2.54 thf(zip_derived_cl653, plain,
% 10.32/2.54 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 10.32/2.54 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 10.32/2.54 inference('demod', [status(thm)],
% 10.32/2.54 [zip_derived_cl464, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.54 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.54 zip_derived_cl596, zip_derived_cl621])).
% 10.32/2.54 thf(zip_derived_cl690, plain,
% 10.32/2.54 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 10.32/2.54 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 10.32/2.54 inference('demod', [status(thm)],
% 10.32/2.54 [zip_derived_cl441, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.54 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.54 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653])).
% 10.32/2.54 thf(zip_derived_cl735, plain,
% 10.32/2.54 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.54 X7 : $i, X8 : $i]:
% 10.32/2.54 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.32/2.54 X7 @ X8)),
% 10.32/2.54 inference('demod', [status(thm)],
% 10.32/2.54 [zip_derived_cl418, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.54 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.54 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653,
% 10.32/2.54 zip_derived_cl690])).
% 10.32/2.54 thf(zip_derived_cl777, plain,
% 10.32/2.54 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.54 X7 : $i, X8 : $i, X9 : $i]:
% 10.32/2.54 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.32/2.54 X7 @ X8 @ X9)),
% 10.32/2.54 inference('demod', [status(thm)],
% 10.32/2.54 [zip_derived_cl396, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.54 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.54 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653,
% 10.32/2.54 zip_derived_cl690, zip_derived_cl735])).
% 10.32/2.54 thf(zip_derived_cl843, plain,
% 10.32/2.54 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.54 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 10.32/2.54 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.32/2.54 X6 @ X7 @ X8 @ X9 @ X10)),
% 10.32/2.54 inference('demod', [status(thm)],
% 10.32/2.54 [zip_derived_cl372, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.54 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.54 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653,
% 10.32/2.54 zip_derived_cl690, zip_derived_cl735, zip_derived_cl777])).
% 10.32/2.54 thf(zip_derived_cl903, plain,
% 10.32/2.54 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.54 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 10.32/2.54 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.32/2.54 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 10.32/2.54 inference('demod', [status(thm)],
% 10.32/2.54 [zip_derived_cl345, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.54 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.54 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653,
% 10.32/2.54 zip_derived_cl690, zip_derived_cl735, zip_derived_cl777,
% 10.32/2.54 zip_derived_cl843])).
% 10.32/2.54 thf(zip_derived_cl974, plain,
% 10.32/2.54 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.54 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 10.32/2.54 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.32/2.54 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 10.32/2.54 inference('demod', [status(thm)],
% 10.32/2.54 [zip_derived_cl314, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.54 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.54 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653,
% 10.32/2.54 zip_derived_cl690, zip_derived_cl735, zip_derived_cl777,
% 10.32/2.54 zip_derived_cl843, zip_derived_cl903])).
% 10.32/2.54 thf(zip_derived_cl1021, plain,
% 10.32/2.54 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.54 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 10.32/2.54 (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.32/2.54 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)),
% 10.32/2.54 inference('demod', [status(thm)],
% 10.32/2.54 [zip_derived_cl283, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.54 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.54 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653,
% 10.32/2.54 zip_derived_cl690, zip_derived_cl735, zip_derived_cl777,
% 10.32/2.54 zip_derived_cl843, zip_derived_cl903, zip_derived_cl974])).
% 10.32/2.54 thf(zip_derived_cl1079, plain,
% 10.32/2.54 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.54 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 10.32/2.54 X14 : $i]:
% 10.32/2.54 (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.32/2.54 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)),
% 10.32/2.54 inference('demod', [status(thm)],
% 10.32/2.54 [zip_derived_cl252, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.54 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.54 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653,
% 10.32/2.54 zip_derived_cl690, zip_derived_cl735, zip_derived_cl777,
% 10.32/2.54 zip_derived_cl843, zip_derived_cl903, zip_derived_cl974,
% 10.32/2.54 zip_derived_cl1021])).
% 10.32/2.54 thf(zip_derived_cl1147, plain,
% 10.32/2.54 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.54 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 10.32/2.54 X14 : $i, X15 : $i]:
% 10.32/2.54 (ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.32/2.54 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15)),
% 10.32/2.54 inference('demod', [status(thm)],
% 10.32/2.54 [zip_derived_cl214, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.54 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.54 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653,
% 10.32/2.54 zip_derived_cl690, zip_derived_cl735, zip_derived_cl777,
% 10.32/2.54 zip_derived_cl843, zip_derived_cl903, zip_derived_cl974,
% 10.32/2.54 zip_derived_cl1021, zip_derived_cl1079])).
% 10.32/2.54 thf(zip_derived_cl1289, plain,
% 10.32/2.54 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.54 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 10.32/2.54 X14 : $i, X15 : $i, X16 : $i]:
% 10.32/2.54 (ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.32/2.54 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @
% 10.32/2.54 X16)),
% 10.32/2.54 inference('demod', [status(thm)],
% 10.32/2.54 [zip_derived_cl173, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.54 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.54 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653,
% 10.32/2.54 zip_derived_cl690, zip_derived_cl735, zip_derived_cl777,
% 10.32/2.54 zip_derived_cl843, zip_derived_cl903, zip_derived_cl974,
% 10.32/2.54 zip_derived_cl1021, zip_derived_cl1079, zip_derived_cl1147])).
% 10.32/2.54 thf(zip_derived_cl1530, plain,
% 10.32/2.54 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.54 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 10.32/2.54 X14 : $i, X15 : $i, X16 : $i, X17 : $i]:
% 10.32/2.54 ( (ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.32/2.54 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 10.32/2.54 | ~ (ssPv6_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 10.32/2.54 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 10.32/2.54 X14 @ X15 @ X16 @ X17))),
% 10.32/2.54 inference('demod', [status(thm)],
% 10.32/2.54 [zip_derived_cl93, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.54 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.54 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653,
% 10.32/2.54 zip_derived_cl690, zip_derived_cl735, zip_derived_cl777,
% 10.32/2.54 zip_derived_cl843, zip_derived_cl903, zip_derived_cl974,
% 10.32/2.54 zip_derived_cl1021, zip_derived_cl1079, zip_derived_cl1147,
% 10.32/2.54 zip_derived_cl1289])).
% 10.32/2.54 thf(zip_derived_cl1676, plain,
% 10.32/2.54 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.54 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 10.32/2.54 X14 : $i, X15 : $i, X16 : $i, X17 : $i]:
% 10.32/2.54 ( (ssPv14_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X17 @ X16 @ X15 @
% 10.32/2.54 X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @
% 10.32/2.54 X2 @ X1 @ X0)
% 10.32/2.54 | ~ (ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X17 @ X16 @ X15 @
% 10.32/2.54 X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @
% 10.32/2.54 X3 @ X2)
% 10.32/2.54 | (ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X17 @ X16 @ X15 @ X14 @
% 10.32/2.54 X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3))),
% 10.32/2.54 inference('sup-', [status(thm)], [zip_derived_cl1675, zip_derived_cl1530])).
% 10.32/2.54 thf(clause417, conjecture,
% 10.32/2.54 (~( ( ssPv14_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) |
% 10.32/2.54 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.32/2.54 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 10.32/2.54 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.32/2.54 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.32/2.54 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.32/2.54 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.32/2.54 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.32/2.54 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 10.32/2.54 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 10.32/2.54 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.54 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 10.32/2.54 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.54 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 10.32/2.54 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.54 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 10.32/2.54 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.54 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 10.32/2.54 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.54 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 10.32/2.54 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.54 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 10.32/2.54 ( ~( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.54 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 10.32/2.54 X9 @ X10 ) ) |
% 10.32/2.54 ( ~( ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.54 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 10.32/2.54 X9 @ X10 @ X11 ) ) |
% 10.32/2.54 ( ~( ssPv14_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.54 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 10.32/2.54 X9 @ X10 @ X11 @ X12 ) ) ))).
% 10.32/2.54 thf(zf_stmt_53, negated_conjecture,
% 10.32/2.54 (( ssPv14_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) |
% 10.32/2.54 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.32/2.54 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.32/2.54 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.32/2.54 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.32/2.54 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.32/2.54 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.32/2.54 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 10.32/2.54 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 10.32/2.54 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.54 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 10.32/2.54 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.54 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 10.32/2.54 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.54 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 10.32/2.54 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.54 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 10.32/2.54 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.54 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 10.32/2.54 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.54 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 10.32/2.54 ( ~( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.54 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 10.32/2.54 X10 ) ) |
% 10.32/2.54 ( ~( ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.54 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 10.32/2.54 X10 @ X11 ) ) |
% 10.32/2.54 ( ~( ssPv14_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.54 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 10.32/2.54 X10 @ X11 @ X12 ) )),
% 10.32/2.54 inference('cnf.neg', [status(esa)], [clause417])).
% 10.32/2.54 thf(zip_derived_cl119, plain,
% 10.32/2.54 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.54 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 10.32/2.54 X14 : $i, X15 : $i, X16 : $i, X17 : $i]:
% 10.32/2.54 ( (ssPv14_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 10.32/2.54 | ~ (ssNder1_0)
% 10.32/2.54 | ~ (ssNder1_1r1 @ X0)
% 10.32/2.54 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 10.32/2.54 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 10.32/2.54 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 10.32/2.54 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 10.32/2.54 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 10.32/2.54 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 10.32/2.54 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.32/2.54 X7)
% 10.32/2.54 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.32/2.54 X6 @ X7 @ X8)
% 10.32/2.54 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.32/2.54 X6 @ X7 @ X8 @ X9)
% 10.32/2.54 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.32/2.54 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 10.32/2.54 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.32/2.54 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 10.32/2.54 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.32/2.54 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 10.32/2.54 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.32/2.54 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 10.32/2.54 | ~ (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.32/2.54 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 10.32/2.54 | ~ (ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 10.32/2.54 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 10.32/2.54 X14 @ X15)
% 10.32/2.54 | ~ (ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 10.32/2.54 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 10.32/2.54 X14 @ X15 @ X16)
% 10.32/2.54 | ~ (ssPv14_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 10.32/2.54 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 10.32/2.54 X14 @ X15 @ X16 @ X17))),
% 10.32/2.54 inference('cnf', [status(esa)], [zf_stmt_53])).
% 10.32/2.54 thf(zip_derived_cl535, plain, ( (ssNder1_0)),
% 10.32/2.54 inference('cnf', [status(esa)], [zf_stmt_1])).
% 10.32/2.54 thf(zip_derived_cl541, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 10.32/2.54 inference('demod', [status(thm)], [zip_derived_cl534, zip_derived_cl535])).
% 10.32/2.54 thf(zip_derived_cl542, plain,
% 10.32/2.54 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 10.32/2.54 inference('demod', [status(thm)],
% 10.32/2.54 [zip_derived_cl533, zip_derived_cl535, zip_derived_cl541])).
% 10.32/2.54 thf(zip_derived_cl548, plain,
% 10.32/2.54 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 10.32/2.54 inference('demod', [status(thm)],
% 10.32/2.54 [zip_derived_cl527, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.54 zip_derived_cl542])).
% 10.32/2.54 thf(zip_derived_cl568, plain,
% 10.32/2.54 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.32/2.54 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 10.32/2.54 inference('demod', [status(thm)],
% 10.32/2.54 [zip_derived_cl519, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.54 zip_derived_cl542, zip_derived_cl548])).
% 10.32/2.54 thf(zip_derived_cl596, plain,
% 10.32/2.54 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 10.32/2.54 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 10.32/2.54 inference('demod', [status(thm)],
% 10.32/2.54 [zip_derived_cl501, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.54 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568])).
% 10.32/2.54 thf(zip_derived_cl621, plain,
% 10.32/2.54 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 10.32/2.54 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 10.32/2.54 inference('demod', [status(thm)],
% 10.32/2.54 [zip_derived_cl485, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.54 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.54 zip_derived_cl596])).
% 10.32/2.54 thf(zip_derived_cl653, plain,
% 10.32/2.54 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 10.32/2.54 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 10.32/2.54 inference('demod', [status(thm)],
% 10.32/2.54 [zip_derived_cl464, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.54 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.54 zip_derived_cl596, zip_derived_cl621])).
% 10.32/2.54 thf(zip_derived_cl690, plain,
% 10.32/2.54 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 10.32/2.54 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 10.32/2.54 inference('demod', [status(thm)],
% 10.32/2.54 [zip_derived_cl441, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.54 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.54 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653])).
% 10.32/2.54 thf(zip_derived_cl735, plain,
% 10.32/2.54 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.54 X7 : $i, X8 : $i]:
% 10.32/2.54 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.32/2.54 X7 @ X8)),
% 10.32/2.54 inference('demod', [status(thm)],
% 10.32/2.54 [zip_derived_cl418, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.54 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.54 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653,
% 10.32/2.54 zip_derived_cl690])).
% 10.32/2.54 thf(zip_derived_cl777, plain,
% 10.32/2.54 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.54 X7 : $i, X8 : $i, X9 : $i]:
% 10.32/2.54 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.32/2.54 X7 @ X8 @ X9)),
% 10.32/2.54 inference('demod', [status(thm)],
% 10.32/2.54 [zip_derived_cl396, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.54 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.54 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653,
% 10.32/2.54 zip_derived_cl690, zip_derived_cl735])).
% 10.32/2.54 thf(zip_derived_cl843, plain,
% 10.32/2.54 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.54 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 10.32/2.54 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.32/2.54 X6 @ X7 @ X8 @ X9 @ X10)),
% 10.32/2.54 inference('demod', [status(thm)],
% 10.32/2.54 [zip_derived_cl372, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.54 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.54 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653,
% 10.32/2.54 zip_derived_cl690, zip_derived_cl735, zip_derived_cl777])).
% 10.32/2.54 thf(zip_derived_cl903, plain,
% 10.32/2.54 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.54 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 10.32/2.54 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.32/2.54 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 10.32/2.54 inference('demod', [status(thm)],
% 10.32/2.54 [zip_derived_cl345, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.54 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.54 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653,
% 10.32/2.54 zip_derived_cl690, zip_derived_cl735, zip_derived_cl777,
% 10.32/2.54 zip_derived_cl843])).
% 10.32/2.54 thf(zip_derived_cl974, plain,
% 10.32/2.54 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.54 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 10.32/2.54 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.32/2.54 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 10.32/2.54 inference('demod', [status(thm)],
% 10.32/2.54 [zip_derived_cl314, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.54 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.54 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653,
% 10.32/2.54 zip_derived_cl690, zip_derived_cl735, zip_derived_cl777,
% 10.32/2.54 zip_derived_cl843, zip_derived_cl903])).
% 10.32/2.54 thf(zip_derived_cl1021, plain,
% 10.32/2.54 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.54 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 10.32/2.54 (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.32/2.54 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)),
% 10.32/2.54 inference('demod', [status(thm)],
% 10.32/2.54 [zip_derived_cl283, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.54 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.54 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653,
% 10.32/2.54 zip_derived_cl690, zip_derived_cl735, zip_derived_cl777,
% 10.32/2.54 zip_derived_cl843, zip_derived_cl903, zip_derived_cl974])).
% 10.32/2.54 thf(zip_derived_cl1079, plain,
% 10.32/2.54 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.54 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 10.32/2.54 X14 : $i]:
% 10.32/2.54 (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.32/2.54 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)),
% 10.32/2.54 inference('demod', [status(thm)],
% 10.32/2.54 [zip_derived_cl252, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.54 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.54 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653,
% 10.32/2.54 zip_derived_cl690, zip_derived_cl735, zip_derived_cl777,
% 10.32/2.54 zip_derived_cl843, zip_derived_cl903, zip_derived_cl974,
% 10.32/2.54 zip_derived_cl1021])).
% 10.32/2.54 thf(zip_derived_cl1147, plain,
% 10.32/2.54 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.54 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 10.32/2.54 X14 : $i, X15 : $i]:
% 10.32/2.54 (ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.32/2.54 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15)),
% 10.32/2.54 inference('demod', [status(thm)],
% 10.32/2.54 [zip_derived_cl214, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.54 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.54 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653,
% 10.32/2.54 zip_derived_cl690, zip_derived_cl735, zip_derived_cl777,
% 10.32/2.54 zip_derived_cl843, zip_derived_cl903, zip_derived_cl974,
% 10.32/2.54 zip_derived_cl1021, zip_derived_cl1079])).
% 10.32/2.54 thf(zip_derived_cl1289, plain,
% 10.32/2.54 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.54 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 10.32/2.54 X14 : $i, X15 : $i, X16 : $i]:
% 10.32/2.54 (ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.32/2.54 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @
% 10.32/2.54 X16)),
% 10.32/2.54 inference('demod', [status(thm)],
% 10.32/2.54 [zip_derived_cl173, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.54 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.54 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653,
% 10.32/2.54 zip_derived_cl690, zip_derived_cl735, zip_derived_cl777,
% 10.32/2.54 zip_derived_cl843, zip_derived_cl903, zip_derived_cl974,
% 10.32/2.54 zip_derived_cl1021, zip_derived_cl1079, zip_derived_cl1147])).
% 10.32/2.54 thf(zip_derived_cl1459, plain,
% 10.32/2.54 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.54 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 10.32/2.54 X14 : $i, X15 : $i, X16 : $i, X17 : $i]:
% 10.32/2.54 ( (ssPv14_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 10.32/2.54 | ~ (ssPv14_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 10.32/2.54 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 10.32/2.54 X14 @ X15 @ X16 @ X17))),
% 10.32/2.54 inference('demod', [status(thm)],
% 10.32/2.54 [zip_derived_cl119, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.54 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.54 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653,
% 10.32/2.54 zip_derived_cl690, zip_derived_cl735, zip_derived_cl777,
% 10.32/2.54 zip_derived_cl843, zip_derived_cl903, zip_derived_cl974,
% 10.32/2.54 zip_derived_cl1021, zip_derived_cl1079, zip_derived_cl1147,
% 10.32/2.54 zip_derived_cl1289])).
% 10.32/2.54 thf(zip_derived_cl1685, plain,
% 10.32/2.54 (![X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i, X8 : $i,
% 10.32/2.54 X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i, X14 : $i, X15 : $i,
% 10.32/2.54 X16 : $i, X17 : $i]:
% 10.32/2.54 ( (ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X17 @ X16 @ X15 @ X14 @
% 10.32/2.54 X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3)
% 10.32/2.54 | ~ (ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X17 @ X16 @ X15 @
% 10.32/2.54 X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @
% 10.32/2.54 X3 @ X2)
% 10.32/2.54 | (ssPv14_7r1r1r1r1r1r1r1 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11))),
% 10.32/2.54 inference('sup-', [status(thm)], [zip_derived_cl1676, zip_derived_cl1459])).
% 10.32/2.54 thf(zip_derived_cl1686, plain,
% 10.32/2.54 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.54 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 10.32/2.54 X14 : $i]:
% 10.32/2.54 ( (ssPv14_7r1r1r1r1r1r1r1 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8)
% 10.32/2.54 | (ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X14 @ X13 @ X12 @ X11 @
% 10.32/2.54 X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0))),
% 10.32/2.54 inference('sup-', [status(thm)], [zip_derived_cl1078, zip_derived_cl1685])).
% 10.32/2.54 thf(clause255, conjecture,
% 10.32/2.54 (~( ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.32/2.54 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 10.32/2.54 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.32/2.54 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.32/2.54 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.32/2.54 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.32/2.54 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.32/2.54 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 10.32/2.54 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 10.32/2.54 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.54 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 10.32/2.54 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.54 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 10.32/2.54 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.54 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 10.32/2.54 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.54 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 10.32/2.54 ( ~( ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.54 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 10.32/2.54 skc19 ) ) ))).
% 10.32/2.54 thf(zf_stmt_54, negated_conjecture,
% 10.32/2.54 (( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.32/2.54 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.32/2.54 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.32/2.54 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.32/2.54 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.32/2.54 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.32/2.54 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 10.32/2.54 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 10.32/2.54 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.54 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 10.32/2.54 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.54 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 10.32/2.54 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.54 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 10.32/2.54 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.54 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 10.32/2.54 ( ~( ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.32/2.54 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ skc19 ) )),
% 10.32/2.54 inference('cnf.neg', [status(esa)], [clause255])).
% 10.32/2.54 thf(zip_derived_cl281, plain,
% 10.32/2.54 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.54 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 10.32/2.54 (~ (ssNder1_0)
% 10.32/2.54 | ~ (ssNder1_1r1 @ X0)
% 10.32/2.54 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 10.32/2.54 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 10.32/2.54 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 10.32/2.54 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 10.32/2.54 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 10.32/2.54 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 10.32/2.54 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.32/2.54 X7)
% 10.32/2.54 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.32/2.54 X6 @ X7 @ X8)
% 10.32/2.54 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.32/2.54 X6 @ X7 @ X8 @ X9)
% 10.32/2.54 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.32/2.54 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 10.32/2.54 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.32/2.54 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 10.32/2.54 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.32/2.54 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 10.32/2.54 | ~ (ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.32/2.54 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ skc19))),
% 10.32/2.54 inference('cnf', [status(esa)], [zf_stmt_54])).
% 10.32/2.54 thf(zip_derived_cl535, plain, ( (ssNder1_0)),
% 10.32/2.54 inference('cnf', [status(esa)], [zf_stmt_1])).
% 10.32/2.54 thf(zip_derived_cl541, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 10.32/2.54 inference('demod', [status(thm)], [zip_derived_cl534, zip_derived_cl535])).
% 10.32/2.54 thf(zip_derived_cl542, plain,
% 10.32/2.54 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 10.32/2.54 inference('demod', [status(thm)],
% 10.32/2.54 [zip_derived_cl533, zip_derived_cl535, zip_derived_cl541])).
% 10.32/2.54 thf(zip_derived_cl548, plain,
% 10.32/2.54 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 10.32/2.54 inference('demod', [status(thm)],
% 10.32/2.54 [zip_derived_cl527, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.54 zip_derived_cl542])).
% 10.32/2.54 thf(zip_derived_cl568, plain,
% 10.32/2.54 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.32/2.54 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 10.32/2.54 inference('demod', [status(thm)],
% 10.32/2.54 [zip_derived_cl519, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.54 zip_derived_cl542, zip_derived_cl548])).
% 10.32/2.54 thf(zip_derived_cl596, plain,
% 10.32/2.54 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 10.32/2.54 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 10.32/2.54 inference('demod', [status(thm)],
% 10.32/2.54 [zip_derived_cl501, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.54 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568])).
% 10.32/2.54 thf(zip_derived_cl621, plain,
% 10.32/2.54 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 10.32/2.54 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 10.32/2.54 inference('demod', [status(thm)],
% 10.32/2.54 [zip_derived_cl485, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.54 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.54 zip_derived_cl596])).
% 10.32/2.54 thf(zip_derived_cl645, plain,
% 10.32/2.54 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.54 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 10.32/2.54 (~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 10.32/2.54 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.32/2.54 X7)
% 10.32/2.54 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.32/2.54 X6 @ X7 @ X8)
% 10.32/2.54 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.32/2.54 X6 @ X7 @ X8 @ X9)
% 10.32/2.54 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.32/2.54 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 10.32/2.54 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.32/2.54 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 10.32/2.54 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.32/2.54 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 10.32/2.54 | ~ (ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.32/2.54 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ skc19))),
% 10.32/2.54 inference('demod', [status(thm)],
% 10.32/2.54 [zip_derived_cl281, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.54 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.54 zip_derived_cl596, zip_derived_cl621])).
% 10.32/2.54 thf(zip_derived_cl653, plain,
% 10.32/2.54 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 10.32/2.54 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 10.32/2.54 inference('demod', [status(thm)],
% 10.32/2.54 [zip_derived_cl464, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.54 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.54 zip_derived_cl596, zip_derived_cl621])).
% 10.32/2.54 thf(zip_derived_cl658, plain,
% 10.32/2.54 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.54 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 10.32/2.54 (~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)
% 10.32/2.54 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.32/2.54 X6 @ X7 @ X8)
% 10.32/2.54 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.32/2.54 X6 @ X7 @ X8 @ X9)
% 10.32/2.54 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.32/2.54 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 10.32/2.54 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.32/2.54 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 10.32/2.54 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.32/2.54 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 10.32/2.54 | ~ (ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.32/2.54 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ skc19))),
% 10.32/2.54 inference('demod', [status(thm)], [zip_derived_cl645, zip_derived_cl653])).
% 10.32/2.54 thf(zip_derived_cl690, plain,
% 10.32/2.54 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 10.32/2.54 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 10.32/2.54 inference('demod', [status(thm)],
% 10.32/2.54 [zip_derived_cl441, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.54 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.54 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653])).
% 10.32/2.54 thf(zip_derived_cl694, plain,
% 10.32/2.54 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.54 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 10.32/2.54 (~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.32/2.54 X7 @ X8)
% 10.32/2.54 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.32/2.54 X6 @ X7 @ X8 @ X9)
% 10.32/2.54 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.32/2.54 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 10.32/2.54 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.32/2.54 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 10.32/2.54 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.32/2.54 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 10.32/2.54 | ~ (ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.32/2.54 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ skc19))),
% 10.32/2.54 inference('demod', [status(thm)], [zip_derived_cl658, zip_derived_cl690])).
% 10.32/2.54 thf(zip_derived_cl735, plain,
% 10.32/2.54 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.54 X7 : $i, X8 : $i]:
% 10.32/2.54 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.32/2.54 X7 @ X8)),
% 10.32/2.54 inference('demod', [status(thm)],
% 10.32/2.54 [zip_derived_cl418, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.54 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.54 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653,
% 10.32/2.54 zip_derived_cl690])).
% 10.32/2.54 thf(zip_derived_cl739, plain,
% 10.32/2.54 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.54 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 10.32/2.54 (~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.32/2.54 X6 @ X7 @ X8 @ X9)
% 10.32/2.54 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.32/2.54 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 10.32/2.54 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.32/2.54 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 10.32/2.54 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.32/2.54 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 10.32/2.54 | ~ (ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.32/2.54 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ skc19))),
% 10.32/2.54 inference('demod', [status(thm)], [zip_derived_cl694, zip_derived_cl735])).
% 10.32/2.54 thf(zip_derived_cl777, plain,
% 10.32/2.54 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.54 X7 : $i, X8 : $i, X9 : $i]:
% 10.32/2.54 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.32/2.54 X7 @ X8 @ X9)),
% 10.32/2.54 inference('demod', [status(thm)],
% 10.32/2.54 [zip_derived_cl396, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.54 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.54 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653,
% 10.32/2.54 zip_derived_cl690, zip_derived_cl735])).
% 10.32/2.54 thf(zip_derived_cl780, plain,
% 10.32/2.54 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.54 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 10.32/2.54 (~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.32/2.54 X6 @ X7 @ X8 @ X9 @ X10)
% 10.32/2.54 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.32/2.54 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 10.32/2.54 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.32/2.54 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 10.32/2.54 | ~ (ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.32/2.54 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ skc19))),
% 10.32/2.54 inference('demod', [status(thm)], [zip_derived_cl739, zip_derived_cl777])).
% 10.32/2.54 thf(zip_derived_cl843, plain,
% 10.32/2.54 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.54 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 10.32/2.54 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.32/2.54 X6 @ X7 @ X8 @ X9 @ X10)),
% 10.32/2.54 inference('demod', [status(thm)],
% 10.32/2.54 [zip_derived_cl372, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.54 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.54 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653,
% 10.32/2.54 zip_derived_cl690, zip_derived_cl735, zip_derived_cl777])).
% 10.32/2.54 thf(zip_derived_cl846, plain,
% 10.32/2.54 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.54 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 10.32/2.54 (~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.32/2.54 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 10.32/2.54 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.32/2.54 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 10.32/2.54 | ~ (ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.32/2.54 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ skc19))),
% 10.32/2.54 inference('demod', [status(thm)], [zip_derived_cl780, zip_derived_cl843])).
% 10.32/2.54 thf(zip_derived_cl903, plain,
% 10.32/2.54 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.54 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 10.32/2.54 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.32/2.54 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 10.32/2.54 inference('demod', [status(thm)],
% 10.32/2.54 [zip_derived_cl345, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.54 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.54 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653,
% 10.32/2.54 zip_derived_cl690, zip_derived_cl735, zip_derived_cl777,
% 10.32/2.54 zip_derived_cl843])).
% 10.32/2.54 thf(zip_derived_cl905, plain,
% 10.32/2.54 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.54 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 10.32/2.54 (~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.32/2.54 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 10.32/2.54 | ~ (ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.32/2.54 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ skc19))),
% 10.32/2.54 inference('demod', [status(thm)], [zip_derived_cl846, zip_derived_cl903])).
% 10.32/2.54 thf(zip_derived_cl974, plain,
% 10.32/2.54 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.54 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 10.32/2.54 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.32/2.54 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 10.32/2.54 inference('demod', [status(thm)],
% 10.32/2.54 [zip_derived_cl314, zip_derived_cl535, zip_derived_cl541,
% 10.32/2.54 zip_derived_cl542, zip_derived_cl548, zip_derived_cl568,
% 10.32/2.54 zip_derived_cl596, zip_derived_cl621, zip_derived_cl653,
% 10.32/2.54 zip_derived_cl690, zip_derived_cl735, zip_derived_cl777,
% 10.32/2.54 zip_derived_cl843, zip_derived_cl903])).
% 10.32/2.54 thf(zip_derived_cl975, plain,
% 10.32/2.54 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.32/2.54 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 10.32/2.54 ~ (ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.32/2.54 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ skc19)),
% 10.32/2.54 inference('demod', [status(thm)], [zip_derived_cl905, zip_derived_cl974])).
% 10.32/2.54 thf(zip_derived_cl1723, plain,
% 10.32/2.54 (![X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 10.32/2.54 (ssPv14_7r1r1r1r1r1r1r1 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7)),
% 10.32/2.54 inference('sup-', [status(thm)], [zip_derived_cl1686, zip_derived_cl975])).
% 10.32/2.54 thf(zip_derived_cl1724, plain, ($false),
% 10.32/2.54 inference('demod', [status(thm)], [zip_derived_cl597, zip_derived_cl1723])).
% 10.32/2.54
% 10.32/2.54 % SZS output end Refutation
% 10.32/2.54
% 10.32/2.54
% 10.32/2.54 % Terminating...
% 11.25/2.66 % Runner terminated.
% 11.25/2.68 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------