%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYN881-1 : TPTP v9.2.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.1XtQpBo9zv true
% Computer : n008.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 05:05:54 PM UTC 2025
% Result : Unsatisfiable 5.10s 1.35s
% Output : Refutation 5.10s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SYN881-1 : TPTP v9.2.0. Released v2.5.0.
% 0.07/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.1XtQpBo9zv true
% 0.13/0.35 % Computer : n008.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Wed Oct 1 13:37:53 EDT 2025
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.36 % Python version: Python 3.6.8
% 0.13/0.36 % 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
% 0.57/0.71 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.57/0.71 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.57/0.75 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.57/0.76 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.57/0.76 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.57/0.77 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.58/0.82 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 5.10/1.35 % Solved by fo/fo5.sh.
% 5.10/1.35 % done 139 iterations in 0.416s
% 5.10/1.35 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 5.10/1.35 % SZS output start Refutation
% 5.10/1.35 thf(skc29_type, type, skc29: $i).
% 5.10/1.35 thf(skc36_type, type, skc36: $i).
% 5.10/1.35 thf(ssPv26_3r1r1r1_type, type, ssPv26_3r1r1r1: $i > $i > $i > $o).
% 5.10/1.35 thf(ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 5.10/1.35 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i >
% 5.10/1.35 $i > $i > $i > $o).
% 5.10/1.35 thf(ssNder1_3r1r1r1_type, type, ssNder1_3r1r1r1: $i > $i > $i > $o).
% 5.10/1.35 thf(ssNder1_1r1_type, type, ssNder1_1r1: $i > $o).
% 5.10/1.35 thf(ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 5.10/1.35 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i >
% 5.10/1.35 $i > $i > $i > $i > $i > $o).
% 5.10/1.35 thf(ssNder1_5r1r1r1r1r1_type, type, ssNder1_5r1r1r1r1r1: $i > $i > $i > $i >
% 5.10/1.35 $i > $o).
% 5.10/1.35 thf(ssNder1_8r1r1r1r1r1r1r1r1_type, type, ssNder1_8r1r1r1r1r1r1r1r1:
% 5.10/1.35 $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 5.10/1.35 thf(ssPv9_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssPv9_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 5.10/1.35 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i >
% 5.10/1.35 $i > $i > $i > $i > $i > $i > $o).
% 5.10/1.35 thf(ssNder1_10r1r1r1r1r1r1r1r1r1r1_type, type, ssNder1_10r1r1r1r1r1r1r1r1r1r1:
% 5.10/1.35 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 5.10/1.35 thf(ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type,
% 5.10/1.35 ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1: $i > $i > $i >
% 5.10/1.35 $i > $i > $i >
% 5.10/1.35 $i > $i > $i >
% 5.10/1.35 $i > $i > $i >
% 5.10/1.35 $i > $i > $i >
% 5.10/1.35 $i > $i > $i >
% 5.10/1.35 $i > $i > $i > $o).
% 5.10/1.35 thf(ssNder1_11r1r1r1r1r1r1r1r1r1r1r1_type, type, ssNder1_11r1r1r1r1r1r1r1r1r1r1r1:
% 5.10/1.35 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 5.10/1.35 thf(ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 5.10/1.35 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i >
% 5.10/1.35 $i > $i > $i > $i > $i > $i > $o).
% 5.10/1.35 thf(ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 5.10/1.35 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 5.10/1.35 thf(ssPv23_6r1r1r1r1r1r1_type, type, ssPv23_6r1r1r1r1r1r1: $i > $i > $i >
% 5.10/1.35 $i > $i > $i > $o).
% 5.10/1.35 thf(skc42_type, type, skc42: $i).
% 5.10/1.35 thf(skc28_type, type, skc28: $i).
% 5.10/1.35 thf(ssNder1_6r1r1r1r1r1r1_type, type, ssNder1_6r1r1r1r1r1r1: $i > $i > $i >
% 5.10/1.35 $i > $i > $i > $o).
% 5.10/1.35 thf(ssPv11_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssPv11_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 5.10/1.35 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i >
% 5.10/1.35 $i > $i > $i > $i > $o).
% 5.10/1.35 thf(skc44_type, type, skc44: $i).
% 5.10/1.35 thf(ssPv13_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssPv13_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 5.10/1.35 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i >
% 5.10/1.35 $i > $i > $o).
% 5.10/1.35 thf(ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 5.10/1.35 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 5.10/1.35 thf(skc47_type, type, skc47: $i).
% 5.10/1.35 thf(ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 5.10/1.35 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 5.10/1.35 thf(skc33_type, type, skc33: $i).
% 5.10/1.35 thf(ssNder1_7r1r1r1r1r1r1r1_type, type, ssNder1_7r1r1r1r1r1r1r1: $i > $i >
% 5.10/1.35 $i > $i >
% 5.10/1.35 $i > $i > $i > $o).
% 5.10/1.35 thf(skc38_type, type, skc38: $i).
% 5.10/1.35 thf(ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 5.10/1.35 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 5.10/1.35 thf(skc34_type, type, skc34: $i).
% 5.10/1.35 thf(ssNder1_9r1r1r1r1r1r1r1r1r1_type, type, ssNder1_9r1r1r1r1r1r1r1r1r1:
% 5.10/1.35 $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 5.10/1.35 thf(ssPv20_9r1r1r1r1r1r1r1r1r1_type, type, ssPv20_9r1r1r1r1r1r1r1r1r1:
% 5.10/1.35 $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 5.10/1.35 thf(ssPv25_4r1r1r1r1_type, type, ssPv25_4r1r1r1r1: $i > $i > $i > $i > $o).
% 5.10/1.35 thf(ssPv7_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type,
% 5.10/1.35 ssPv7_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1: $i > $i > $i >
% 5.10/1.35 $i > $i > $i >
% 5.10/1.35 $i > $i > $i >
% 5.10/1.35 $i > $i > $i >
% 5.10/1.35 $i > $i > $i >
% 5.10/1.35 $i > $i > $i >
% 5.10/1.35 $i > $i > $i > $i > $o).
% 5.10/1.35 thf(ssPv21_8r1r1r1r1r1r1r1r1_type, type, ssPv21_8r1r1r1r1r1r1r1r1: $i > $i >
% 5.10/1.35 $i > $i >
% 5.10/1.35 $i > $i >
% 5.10/1.35 $i > $i > $o).
% 5.10/1.35 thf(ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1:
% 5.10/1.35 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 5.10/1.35 thf(ssNder1_0_type, type, ssNder1_0: $o).
% 5.10/1.35 thf(ssPv15_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssPv15_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 5.10/1.35 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 5.10/1.35 thf(ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 5.10/1.35 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i >
% 5.10/1.35 $i > $i > $i > $i > $o).
% 5.10/1.35 thf(ssPv14_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssPv14_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 5.10/1.35 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 5.10/1.35 thf(ssNder1_4r1r1r1r1_type, type, ssNder1_4r1r1r1r1: $i > $i > $i > $i > $o).
% 5.10/1.35 thf(ssPv12_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssPv12_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 5.10/1.35 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i >
% 5.10/1.35 $i > $i > $i > $o).
% 5.10/1.35 thf(ssPv22_7r1r1r1r1r1r1r1_type, type, ssPv22_7r1r1r1r1r1r1r1: $i > $i >
% 5.10/1.35 $i > $i >
% 5.10/1.35 $i > $i > $i > $o).
% 5.10/1.35 thf(skc41_type, type, skc41: $i).
% 5.10/1.35 thf(ssPv24_5r1r1r1r1r1_type, type, ssPv24_5r1r1r1r1r1: $i > $i > $i > $i > $i > $o).
% 5.10/1.35 thf(ssNder1_2r1r1_type, type, ssNder1_2r1r1: $i > $i > $o).
% 5.10/1.35 thf(ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 5.10/1.35 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i >
% 5.10/1.35 $i > $i > $o).
% 5.10/1.35 thf(ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1:
% 5.10/1.35 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 5.10/1.35 thf(ssPv19_10r1r1r1r1r1r1r1r1r1r1_type, type, ssPv19_10r1r1r1r1r1r1r1r1r1r1:
% 5.10/1.35 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 5.10/1.35 thf(clause12, conjecture,
% 5.10/1.35 (~( ( ssPv22_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ skc42 ) |
% 5.10/1.35 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 5.10/1.35 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 5.10/1.35 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 5.10/1.35 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 5.10/1.35 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) ))).
% 5.10/1.35 thf(zf_stmt_0, negated_conjecture,
% 5.10/1.35 (( ssPv22_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ skc42 ) |
% 5.10/1.35 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 5.10/1.35 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 5.10/1.35 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 5.10/1.35 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) )),
% 5.10/1.35 inference('cnf.neg', [status(esa)], [clause12])).
% 5.10/1.35 thf(zip_derived_cl11, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 5.10/1.35 ( (ssPv22_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ skc42)
% 5.10/1.35 | ~ (ssNder1_0)
% 5.10/1.35 | ~ (ssNder1_1r1 @ X0)
% 5.10/1.35 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 5.10/1.35 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 5.10/1.35 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 5.10/1.35 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4))),
% 5.10/1.35 inference('cnf', [status(esa)], [zf_stmt_0])).
% 5.10/1.35 thf(clause1, conjecture, (~( ssNder1_0 ))).
% 5.10/1.35 thf(zf_stmt_1, negated_conjecture, (ssNder1_0),
% 5.10/1.35 inference('cnf.neg', [status(esa)], [clause1])).
% 5.10/1.35 thf(zip_derived_cl0, plain, ( (ssNder1_0)),
% 5.10/1.35 inference('cnf', [status(esa)], [zf_stmt_1])).
% 5.10/1.35 thf(clause2, conjecture, (~( ( ssNder1_1r1 @ U ) | ( ~( ssNder1_0 ) ) ))).
% 5.10/1.35 thf(zf_stmt_2, negated_conjecture,
% 5.10/1.35 (( ssNder1_1r1 @ U ) | ( ~( ssNder1_0 ) )),
% 5.10/1.35 inference('cnf.neg', [status(esa)], [clause2])).
% 5.10/1.35 thf(zip_derived_cl1, plain,
% 5.10/1.35 (![X0 : $i]: ( (ssNder1_1r1 @ X0) | ~ (ssNder1_0))),
% 5.10/1.35 inference('cnf', [status(esa)], [zf_stmt_2])).
% 5.10/1.35 thf(zip_derived_cl0, plain, ( (ssNder1_0)),
% 5.10/1.35 inference('cnf', [status(esa)], [zf_stmt_1])).
% 5.10/1.35 thf(zip_derived_cl92, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 5.10/1.35 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 5.10/1.35 thf(clause3, conjecture,
% 5.10/1.35 (~( ( ssNder1_2r1r1 @ U @ V ) | ( ~( ssNder1_0 ) ) |
% 5.10/1.35 ( ~( ssNder1_1r1 @ U ) ) ))).
% 5.10/1.35 thf(zf_stmt_3, negated_conjecture,
% 5.10/1.35 (( ssNder1_2r1r1 @ U @ V ) | ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) )),
% 5.10/1.35 inference('cnf.neg', [status(esa)], [clause3])).
% 5.10/1.35 thf(zip_derived_cl2, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i]:
% 5.10/1.35 ( (ssNder1_2r1r1 @ X0 @ X1) | ~ (ssNder1_0) | ~ (ssNder1_1r1 @ X0))),
% 5.10/1.35 inference('cnf', [status(esa)], [zf_stmt_3])).
% 5.10/1.35 thf(zip_derived_cl0, plain, ( (ssNder1_0)),
% 5.10/1.35 inference('cnf', [status(esa)], [zf_stmt_1])).
% 5.10/1.35 thf(zip_derived_cl92, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 5.10/1.35 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 5.10/1.35 thf(zip_derived_cl93, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl2, zip_derived_cl0, zip_derived_cl92])).
% 5.10/1.35 thf(clause4, conjecture,
% 5.10/1.35 (~( ( ssNder1_3r1r1r1 @ U @ V @ W ) | ( ~( ssNder1_0 ) ) |
% 5.10/1.35 ( ~( ssNder1_1r1 @ U ) ) | ( ~( ssNder1_2r1r1 @ U @ V ) ) ))).
% 5.10/1.35 thf(zf_stmt_4, negated_conjecture,
% 5.10/1.35 (( ssNder1_3r1r1r1 @ U @ V @ W ) | ( ~( ssNder1_0 ) ) |
% 5.10/1.35 ( ~( ssNder1_1r1 @ U ) ) | ( ~( ssNder1_2r1r1 @ U @ V ) )),
% 5.10/1.35 inference('cnf.neg', [status(esa)], [clause4])).
% 5.10/1.35 thf(zip_derived_cl3, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.10/1.35 ( (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 5.10/1.35 | ~ (ssNder1_0)
% 5.10/1.35 | ~ (ssNder1_1r1 @ X0)
% 5.10/1.35 | ~ (ssNder1_2r1r1 @ X0 @ X1))),
% 5.10/1.35 inference('cnf', [status(esa)], [zf_stmt_4])).
% 5.10/1.35 thf(zip_derived_cl0, plain, ( (ssNder1_0)),
% 5.10/1.35 inference('cnf', [status(esa)], [zf_stmt_1])).
% 5.10/1.35 thf(zip_derived_cl92, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 5.10/1.35 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 5.10/1.35 thf(zip_derived_cl93, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl2, zip_derived_cl0, zip_derived_cl92])).
% 5.10/1.35 thf(zip_derived_cl94, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl3, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93])).
% 5.10/1.35 thf(clause5, conjecture,
% 5.10/1.35 (~( ( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) | ( ~( ssNder1_0 ) ) |
% 5.10/1.35 ( ~( ssNder1_1r1 @ U ) ) | ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 5.10/1.35 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) ))).
% 5.10/1.35 thf(zf_stmt_5, negated_conjecture,
% 5.10/1.35 (( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) | ( ~( ssNder1_0 ) ) |
% 5.10/1.35 ( ~( ssNder1_1r1 @ U ) ) | ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 5.10/1.35 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) )),
% 5.10/1.35 inference('cnf.neg', [status(esa)], [clause5])).
% 5.10/1.35 thf(zip_derived_cl4, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 5.10/1.35 ( (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 5.10/1.35 | ~ (ssNder1_0)
% 5.10/1.35 | ~ (ssNder1_1r1 @ X0)
% 5.10/1.35 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 5.10/1.35 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2))),
% 5.10/1.35 inference('cnf', [status(esa)], [zf_stmt_5])).
% 5.10/1.35 thf(zip_derived_cl0, plain, ( (ssNder1_0)),
% 5.10/1.35 inference('cnf', [status(esa)], [zf_stmt_1])).
% 5.10/1.35 thf(zip_derived_cl92, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 5.10/1.35 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 5.10/1.35 thf(zip_derived_cl93, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl2, zip_derived_cl0, zip_derived_cl92])).
% 5.10/1.35 thf(zip_derived_cl94, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl3, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93])).
% 5.10/1.35 thf(zip_derived_cl96, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 5.10/1.35 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl4, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93, zip_derived_cl94])).
% 5.10/1.35 thf(clause8, conjecture,
% 5.10/1.35 (~( ( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) | ( ~( ssNder1_0 ) ) |
% 5.10/1.35 ( ~( ssNder1_1r1 @ U ) ) | ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 5.10/1.35 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 5.10/1.35 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) ))).
% 5.10/1.35 thf(zf_stmt_6, negated_conjecture,
% 5.10/1.35 (( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) | ( ~( ssNder1_0 ) ) |
% 5.10/1.35 ( ~( ssNder1_1r1 @ U ) ) | ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 5.10/1.35 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 5.10/1.35 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) )),
% 5.10/1.35 inference('cnf.neg', [status(esa)], [clause8])).
% 5.10/1.35 thf(zip_derived_cl7, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 5.10/1.35 ( (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 5.10/1.35 | ~ (ssNder1_0)
% 5.10/1.35 | ~ (ssNder1_1r1 @ X0)
% 5.10/1.35 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 5.10/1.35 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 5.10/1.35 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3))),
% 5.10/1.35 inference('cnf', [status(esa)], [zf_stmt_6])).
% 5.10/1.35 thf(zip_derived_cl0, plain, ( (ssNder1_0)),
% 5.10/1.35 inference('cnf', [status(esa)], [zf_stmt_1])).
% 5.10/1.35 thf(zip_derived_cl92, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 5.10/1.35 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 5.10/1.35 thf(zip_derived_cl93, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl2, zip_derived_cl0, zip_derived_cl92])).
% 5.10/1.35 thf(zip_derived_cl94, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl3, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93])).
% 5.10/1.35 thf(zip_derived_cl96, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 5.10/1.35 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl4, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93, zip_derived_cl94])).
% 5.10/1.35 thf(zip_derived_cl98, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 5.10/1.35 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl7, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96])).
% 5.10/1.35 thf(zip_derived_cl103, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 5.10/1.35 (ssPv22_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ skc42)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl11, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.35 zip_derived_cl98])).
% 5.10/1.35 thf(clause9, conjecture,
% 5.10/1.35 (~( ( ssPv23_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ skc44 ) |
% 5.10/1.35 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 5.10/1.35 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 5.10/1.35 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 5.10/1.35 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) ))).
% 5.10/1.35 thf(zf_stmt_7, negated_conjecture,
% 5.10/1.35 (( ssPv23_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ skc44 ) |
% 5.10/1.35 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 5.10/1.35 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 5.10/1.35 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) )),
% 5.10/1.35 inference('cnf.neg', [status(esa)], [clause9])).
% 5.10/1.35 thf(zip_derived_cl8, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 5.10/1.35 ( (ssPv23_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ skc44)
% 5.10/1.35 | ~ (ssNder1_0)
% 5.10/1.35 | ~ (ssNder1_1r1 @ X0)
% 5.10/1.35 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 5.10/1.35 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 5.10/1.35 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3))),
% 5.10/1.35 inference('cnf', [status(esa)], [zf_stmt_7])).
% 5.10/1.35 thf(zip_derived_cl0, plain, ( (ssNder1_0)),
% 5.10/1.35 inference('cnf', [status(esa)], [zf_stmt_1])).
% 5.10/1.35 thf(zip_derived_cl92, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 5.10/1.35 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 5.10/1.35 thf(zip_derived_cl93, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl2, zip_derived_cl0, zip_derived_cl92])).
% 5.10/1.35 thf(zip_derived_cl94, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl3, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93])).
% 5.10/1.35 thf(zip_derived_cl96, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 5.10/1.35 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl4, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93, zip_derived_cl94])).
% 5.10/1.35 thf(zip_derived_cl99, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 5.10/1.35 (ssPv23_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ skc44)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl8, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96])).
% 5.10/1.35 thf(clause27, conjecture,
% 5.10/1.35 (~( ( ssPv15_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ skc36 ) |
% 5.10/1.35 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 5.10/1.35 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 5.10/1.35 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 5.10/1.35 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 5.10/1.35 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 5.10/1.35 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 5.10/1.35 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 5.10/1.35 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 5.10/1.35 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 5.10/1.35 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 5.10/1.35 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 5.10/1.35 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) ))).
% 5.10/1.35 thf(zf_stmt_8, negated_conjecture,
% 5.10/1.35 (( ssPv15_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ skc36 ) |
% 5.10/1.35 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 5.10/1.35 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 5.10/1.35 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 5.10/1.35 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 5.10/1.35 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 5.10/1.35 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 5.10/1.35 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 5.10/1.35 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 5.10/1.35 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 5.10/1.35 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 5.10/1.35 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) )),
% 5.10/1.35 inference('cnf.neg', [status(esa)], [clause27])).
% 5.10/1.35 thf(zip_derived_cl26, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.35 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 5.10/1.35 ( (ssPv15_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 5.10/1.35 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ skc36)
% 5.10/1.35 | ~ (ssNder1_0)
% 5.10/1.35 | ~ (ssNder1_1r1 @ X0)
% 5.10/1.35 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 5.10/1.35 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 5.10/1.35 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 5.10/1.35 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 5.10/1.35 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 5.10/1.35 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 5.10/1.35 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 5.10/1.35 X7)
% 5.10/1.35 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 5.10/1.35 X6 @ X7 @ X8)
% 5.10/1.35 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 5.10/1.35 X6 @ X7 @ X8 @ X9)
% 5.10/1.35 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 5.10/1.35 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 5.10/1.35 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 5.10/1.35 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11))),
% 5.10/1.35 inference('cnf', [status(esa)], [zf_stmt_8])).
% 5.10/1.35 thf(zip_derived_cl0, plain, ( (ssNder1_0)),
% 5.10/1.35 inference('cnf', [status(esa)], [zf_stmt_1])).
% 5.10/1.35 thf(zip_derived_cl92, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 5.10/1.35 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 5.10/1.35 thf(zip_derived_cl93, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl2, zip_derived_cl0, zip_derived_cl92])).
% 5.10/1.35 thf(zip_derived_cl94, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl3, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93])).
% 5.10/1.35 thf(zip_derived_cl96, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 5.10/1.35 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl4, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93, zip_derived_cl94])).
% 5.10/1.35 thf(zip_derived_cl98, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 5.10/1.35 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl7, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96])).
% 5.10/1.35 thf(clause11, conjecture,
% 5.10/1.35 (~( ( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) |
% 5.10/1.35 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 5.10/1.35 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 5.10/1.35 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 5.10/1.35 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 5.10/1.35 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) ))).
% 5.10/1.35 thf(zf_stmt_9, negated_conjecture,
% 5.10/1.35 (( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) | ( ~( ssNder1_0 ) ) |
% 5.10/1.35 ( ~( ssNder1_1r1 @ U ) ) | ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 5.10/1.35 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 5.10/1.35 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 5.10/1.35 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) )),
% 5.10/1.35 inference('cnf.neg', [status(esa)], [clause11])).
% 5.10/1.35 thf(zip_derived_cl10, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 5.10/1.35 ( (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 5.10/1.35 | ~ (ssNder1_0)
% 5.10/1.35 | ~ (ssNder1_1r1 @ X0)
% 5.10/1.35 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 5.10/1.35 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 5.10/1.35 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 5.10/1.35 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4))),
% 5.10/1.35 inference('cnf', [status(esa)], [zf_stmt_9])).
% 5.10/1.35 thf(zip_derived_cl0, plain, ( (ssNder1_0)),
% 5.10/1.35 inference('cnf', [status(esa)], [zf_stmt_1])).
% 5.10/1.35 thf(zip_derived_cl92, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 5.10/1.35 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 5.10/1.35 thf(zip_derived_cl93, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl2, zip_derived_cl0, zip_derived_cl92])).
% 5.10/1.35 thf(zip_derived_cl94, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl3, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93])).
% 5.10/1.35 thf(zip_derived_cl96, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 5.10/1.35 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl4, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93, zip_derived_cl94])).
% 5.10/1.35 thf(zip_derived_cl98, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 5.10/1.35 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl7, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96])).
% 5.10/1.35 thf(zip_derived_cl101, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 5.10/1.35 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl10, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.35 zip_derived_cl98])).
% 5.10/1.35 thf(clause14, conjecture,
% 5.10/1.35 (~( ( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) |
% 5.10/1.35 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 5.10/1.35 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 5.10/1.35 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 5.10/1.35 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 5.10/1.35 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 5.10/1.35 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) ))).
% 5.10/1.35 thf(zf_stmt_10, negated_conjecture,
% 5.10/1.35 (( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) |
% 5.10/1.35 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 5.10/1.35 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 5.10/1.35 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 5.10/1.35 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 5.10/1.35 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) )),
% 5.10/1.35 inference('cnf.neg', [status(esa)], [clause14])).
% 5.10/1.35 thf(zip_derived_cl13, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 5.10/1.35 ( (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 5.10/1.35 | ~ (ssNder1_0)
% 5.10/1.35 | ~ (ssNder1_1r1 @ X0)
% 5.10/1.35 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 5.10/1.35 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 5.10/1.35 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 5.10/1.35 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 5.10/1.35 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5))),
% 5.10/1.35 inference('cnf', [status(esa)], [zf_stmt_10])).
% 5.10/1.35 thf(zip_derived_cl0, plain, ( (ssNder1_0)),
% 5.10/1.35 inference('cnf', [status(esa)], [zf_stmt_1])).
% 5.10/1.35 thf(zip_derived_cl92, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 5.10/1.35 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 5.10/1.35 thf(zip_derived_cl93, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl2, zip_derived_cl0, zip_derived_cl92])).
% 5.10/1.35 thf(zip_derived_cl94, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl3, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93])).
% 5.10/1.35 thf(zip_derived_cl96, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 5.10/1.35 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl4, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93, zip_derived_cl94])).
% 5.10/1.35 thf(zip_derived_cl98, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 5.10/1.35 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl7, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96])).
% 5.10/1.35 thf(zip_derived_cl101, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 5.10/1.35 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl10, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.35 zip_derived_cl98])).
% 5.10/1.35 thf(zip_derived_cl105, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 5.10/1.35 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl13, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.35 zip_derived_cl98, zip_derived_cl101])).
% 5.10/1.35 thf(clause17, conjecture,
% 5.10/1.35 (~( ( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) |
% 5.10/1.35 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 5.10/1.35 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 5.10/1.35 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 5.10/1.35 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 5.10/1.35 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 5.10/1.35 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 5.10/1.35 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) ))).
% 5.10/1.35 thf(zf_stmt_11, negated_conjecture,
% 5.10/1.35 (( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) |
% 5.10/1.35 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 5.10/1.35 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 5.10/1.35 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 5.10/1.35 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 5.10/1.35 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 5.10/1.35 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) )),
% 5.10/1.35 inference('cnf.neg', [status(esa)], [clause17])).
% 5.10/1.35 thf(zip_derived_cl16, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 5.10/1.35 ( (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)
% 5.10/1.35 | ~ (ssNder1_0)
% 5.10/1.35 | ~ (ssNder1_1r1 @ X0)
% 5.10/1.35 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 5.10/1.35 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 5.10/1.35 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 5.10/1.35 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 5.10/1.35 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 5.10/1.35 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6))),
% 5.10/1.35 inference('cnf', [status(esa)], [zf_stmt_11])).
% 5.10/1.35 thf(zip_derived_cl0, plain, ( (ssNder1_0)),
% 5.10/1.35 inference('cnf', [status(esa)], [zf_stmt_1])).
% 5.10/1.35 thf(zip_derived_cl92, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 5.10/1.35 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 5.10/1.35 thf(zip_derived_cl93, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl2, zip_derived_cl0, zip_derived_cl92])).
% 5.10/1.35 thf(zip_derived_cl94, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl3, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93])).
% 5.10/1.35 thf(zip_derived_cl96, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 5.10/1.35 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl4, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93, zip_derived_cl94])).
% 5.10/1.35 thf(zip_derived_cl98, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 5.10/1.35 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl7, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96])).
% 5.10/1.35 thf(zip_derived_cl101, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 5.10/1.35 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl10, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.35 zip_derived_cl98])).
% 5.10/1.35 thf(zip_derived_cl105, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 5.10/1.35 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl13, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.35 zip_derived_cl98, zip_derived_cl101])).
% 5.10/1.35 thf(zip_derived_cl107, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 5.10/1.35 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl16, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.35 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105])).
% 5.10/1.35 thf(clause18, conjecture,
% 5.10/1.35 (~( ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) |
% 5.10/1.35 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 5.10/1.35 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 5.10/1.35 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 5.10/1.35 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 5.10/1.35 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 5.10/1.35 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 5.10/1.35 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 5.10/1.35 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) ))).
% 5.10/1.35 thf(zf_stmt_12, negated_conjecture,
% 5.10/1.35 (( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) |
% 5.10/1.35 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 5.10/1.35 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 5.10/1.35 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 5.10/1.35 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 5.10/1.35 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 5.10/1.35 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 5.10/1.35 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) )),
% 5.10/1.35 inference('cnf.neg', [status(esa)], [clause18])).
% 5.10/1.35 thf(zip_derived_cl17, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.35 X7 : $i, X8 : $i]:
% 5.10/1.35 ( (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 5.10/1.35 X7 @ X8)
% 5.10/1.35 | ~ (ssNder1_0)
% 5.10/1.35 | ~ (ssNder1_1r1 @ X0)
% 5.10/1.35 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 5.10/1.35 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 5.10/1.35 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 5.10/1.35 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 5.10/1.35 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 5.10/1.35 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 5.10/1.35 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 5.10/1.35 X7))),
% 5.10/1.35 inference('cnf', [status(esa)], [zf_stmt_12])).
% 5.10/1.35 thf(zip_derived_cl0, plain, ( (ssNder1_0)),
% 5.10/1.35 inference('cnf', [status(esa)], [zf_stmt_1])).
% 5.10/1.35 thf(zip_derived_cl92, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 5.10/1.35 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 5.10/1.35 thf(zip_derived_cl93, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl2, zip_derived_cl0, zip_derived_cl92])).
% 5.10/1.35 thf(zip_derived_cl94, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl3, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93])).
% 5.10/1.35 thf(zip_derived_cl96, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 5.10/1.35 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl4, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93, zip_derived_cl94])).
% 5.10/1.35 thf(zip_derived_cl98, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 5.10/1.35 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl7, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96])).
% 5.10/1.35 thf(zip_derived_cl101, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 5.10/1.35 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl10, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.35 zip_derived_cl98])).
% 5.10/1.35 thf(zip_derived_cl105, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 5.10/1.35 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl13, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.35 zip_derived_cl98, zip_derived_cl101])).
% 5.10/1.35 thf(zip_derived_cl107, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 5.10/1.35 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl16, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.35 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105])).
% 5.10/1.35 thf(zip_derived_cl108, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.35 X7 : $i, X8 : $i]:
% 5.10/1.35 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 5.10/1.35 X7 @ X8)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl17, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.35 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.35 zip_derived_cl107])).
% 5.10/1.35 thf(clause19, conjecture,
% 5.10/1.35 (~( ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) |
% 5.10/1.35 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 5.10/1.35 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 5.10/1.35 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 5.10/1.35 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 5.10/1.35 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 5.10/1.35 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 5.10/1.35 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 5.10/1.35 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 5.10/1.35 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) ))).
% 5.10/1.35 thf(zf_stmt_13, negated_conjecture,
% 5.10/1.35 (( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) |
% 5.10/1.35 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 5.10/1.35 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 5.10/1.35 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 5.10/1.35 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 5.10/1.35 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 5.10/1.35 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 5.10/1.35 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 5.10/1.35 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) )),
% 5.10/1.35 inference('cnf.neg', [status(esa)], [clause19])).
% 5.10/1.35 thf(zip_derived_cl18, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.35 X7 : $i, X8 : $i, X9 : $i]:
% 5.10/1.35 ( (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 5.10/1.35 X6 @ X7 @ X8 @ X9)
% 5.10/1.35 | ~ (ssNder1_0)
% 5.10/1.35 | ~ (ssNder1_1r1 @ X0)
% 5.10/1.35 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 5.10/1.35 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 5.10/1.35 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 5.10/1.35 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 5.10/1.35 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 5.10/1.35 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 5.10/1.35 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 5.10/1.35 X7)
% 5.10/1.35 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 5.10/1.35 X6 @ X7 @ X8))),
% 5.10/1.35 inference('cnf', [status(esa)], [zf_stmt_13])).
% 5.10/1.35 thf(zip_derived_cl0, plain, ( (ssNder1_0)),
% 5.10/1.35 inference('cnf', [status(esa)], [zf_stmt_1])).
% 5.10/1.35 thf(zip_derived_cl92, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 5.10/1.35 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 5.10/1.35 thf(zip_derived_cl93, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl2, zip_derived_cl0, zip_derived_cl92])).
% 5.10/1.35 thf(zip_derived_cl94, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl3, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93])).
% 5.10/1.35 thf(zip_derived_cl96, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 5.10/1.35 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl4, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93, zip_derived_cl94])).
% 5.10/1.35 thf(zip_derived_cl98, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 5.10/1.35 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl7, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96])).
% 5.10/1.35 thf(zip_derived_cl101, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 5.10/1.35 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl10, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.35 zip_derived_cl98])).
% 5.10/1.35 thf(zip_derived_cl105, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 5.10/1.35 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl13, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.35 zip_derived_cl98, zip_derived_cl101])).
% 5.10/1.35 thf(zip_derived_cl107, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 5.10/1.35 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl16, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.35 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105])).
% 5.10/1.35 thf(zip_derived_cl108, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.35 X7 : $i, X8 : $i]:
% 5.10/1.35 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 5.10/1.35 X7 @ X8)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl17, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.35 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.35 zip_derived_cl107])).
% 5.10/1.35 thf(zip_derived_cl109, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.35 X7 : $i, X8 : $i, X9 : $i]:
% 5.10/1.35 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 5.10/1.35 X7 @ X8 @ X9)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl18, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.35 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.35 zip_derived_cl107, zip_derived_cl108])).
% 5.10/1.35 thf(clause20, conjecture,
% 5.10/1.35 (~( ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) |
% 5.10/1.35 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 5.10/1.35 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 5.10/1.35 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 5.10/1.35 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 5.10/1.35 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 5.10/1.35 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 5.10/1.35 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 5.10/1.35 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 5.10/1.35 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 5.10/1.35 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) ))).
% 5.10/1.35 thf(zf_stmt_14, negated_conjecture,
% 5.10/1.35 (( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) |
% 5.10/1.35 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 5.10/1.35 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 5.10/1.35 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 5.10/1.35 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 5.10/1.35 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 5.10/1.35 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 5.10/1.35 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 5.10/1.35 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 5.10/1.35 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) )),
% 5.10/1.35 inference('cnf.neg', [status(esa)], [clause20])).
% 5.10/1.35 thf(zip_derived_cl19, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.35 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 5.10/1.35 ( (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 5.10/1.35 X6 @ X7 @ X8 @ X9 @ X10)
% 5.10/1.35 | ~ (ssNder1_0)
% 5.10/1.35 | ~ (ssNder1_1r1 @ X0)
% 5.10/1.35 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 5.10/1.35 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 5.10/1.35 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 5.10/1.35 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 5.10/1.35 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 5.10/1.35 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 5.10/1.35 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 5.10/1.35 X7)
% 5.10/1.35 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 5.10/1.35 X6 @ X7 @ X8)
% 5.10/1.35 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 5.10/1.35 X6 @ X7 @ X8 @ X9))),
% 5.10/1.35 inference('cnf', [status(esa)], [zf_stmt_14])).
% 5.10/1.35 thf(zip_derived_cl0, plain, ( (ssNder1_0)),
% 5.10/1.35 inference('cnf', [status(esa)], [zf_stmt_1])).
% 5.10/1.35 thf(zip_derived_cl92, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 5.10/1.35 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 5.10/1.35 thf(zip_derived_cl93, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl2, zip_derived_cl0, zip_derived_cl92])).
% 5.10/1.35 thf(zip_derived_cl94, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl3, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93])).
% 5.10/1.35 thf(zip_derived_cl96, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 5.10/1.35 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl4, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93, zip_derived_cl94])).
% 5.10/1.35 thf(zip_derived_cl98, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 5.10/1.35 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl7, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96])).
% 5.10/1.35 thf(zip_derived_cl101, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 5.10/1.35 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl10, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.35 zip_derived_cl98])).
% 5.10/1.35 thf(zip_derived_cl105, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 5.10/1.35 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl13, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.35 zip_derived_cl98, zip_derived_cl101])).
% 5.10/1.35 thf(zip_derived_cl107, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 5.10/1.35 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl16, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.35 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105])).
% 5.10/1.35 thf(zip_derived_cl108, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.35 X7 : $i, X8 : $i]:
% 5.10/1.35 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 5.10/1.35 X7 @ X8)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl17, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.35 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.35 zip_derived_cl107])).
% 5.10/1.35 thf(zip_derived_cl109, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.35 X7 : $i, X8 : $i, X9 : $i]:
% 5.10/1.35 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 5.10/1.35 X7 @ X8 @ X9)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl18, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.35 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.35 zip_derived_cl107, zip_derived_cl108])).
% 5.10/1.35 thf(zip_derived_cl110, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.35 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 5.10/1.35 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 5.10/1.35 X6 @ X7 @ X8 @ X9 @ X10)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl19, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.35 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.35 zip_derived_cl107, zip_derived_cl108, zip_derived_cl109])).
% 5.10/1.35 thf(clause21, conjecture,
% 5.10/1.35 (~( ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) |
% 5.10/1.35 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 5.10/1.35 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 5.10/1.35 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 5.10/1.35 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 5.10/1.35 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 5.10/1.35 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 5.10/1.35 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 5.10/1.35 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 5.10/1.35 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 5.10/1.35 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 5.10/1.35 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) ))).
% 5.10/1.35 thf(zf_stmt_15, negated_conjecture,
% 5.10/1.35 (( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) |
% 5.10/1.35 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 5.10/1.35 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 5.10/1.35 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 5.10/1.35 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 5.10/1.35 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 5.10/1.35 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 5.10/1.35 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 5.10/1.35 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 5.10/1.35 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 5.10/1.35 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) )),
% 5.10/1.35 inference('cnf.neg', [status(esa)], [clause21])).
% 5.10/1.35 thf(zip_derived_cl20, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.35 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 5.10/1.35 ( (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 5.10/1.35 X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 5.10/1.35 | ~ (ssNder1_0)
% 5.10/1.35 | ~ (ssNder1_1r1 @ X0)
% 5.10/1.35 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 5.10/1.35 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 5.10/1.35 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 5.10/1.35 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 5.10/1.35 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 5.10/1.35 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 5.10/1.35 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 5.10/1.35 X7)
% 5.10/1.35 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 5.10/1.35 X6 @ X7 @ X8)
% 5.10/1.35 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 5.10/1.35 X6 @ X7 @ X8 @ X9)
% 5.10/1.35 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 5.10/1.35 X5 @ X6 @ X7 @ X8 @ X9 @ X10))),
% 5.10/1.35 inference('cnf', [status(esa)], [zf_stmt_15])).
% 5.10/1.35 thf(zip_derived_cl0, plain, ( (ssNder1_0)),
% 5.10/1.35 inference('cnf', [status(esa)], [zf_stmt_1])).
% 5.10/1.35 thf(zip_derived_cl92, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 5.10/1.35 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 5.10/1.35 thf(zip_derived_cl93, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl2, zip_derived_cl0, zip_derived_cl92])).
% 5.10/1.35 thf(zip_derived_cl94, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl3, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93])).
% 5.10/1.35 thf(zip_derived_cl96, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 5.10/1.35 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl4, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93, zip_derived_cl94])).
% 5.10/1.35 thf(zip_derived_cl98, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 5.10/1.35 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl7, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96])).
% 5.10/1.35 thf(zip_derived_cl101, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 5.10/1.35 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl10, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.35 zip_derived_cl98])).
% 5.10/1.35 thf(zip_derived_cl105, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 5.10/1.35 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl13, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.35 zip_derived_cl98, zip_derived_cl101])).
% 5.10/1.35 thf(zip_derived_cl107, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 5.10/1.35 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl16, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.35 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105])).
% 5.10/1.35 thf(zip_derived_cl108, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.35 X7 : $i, X8 : $i]:
% 5.10/1.35 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 5.10/1.35 X7 @ X8)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl17, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.35 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.35 zip_derived_cl107])).
% 5.10/1.35 thf(zip_derived_cl109, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.35 X7 : $i, X8 : $i, X9 : $i]:
% 5.10/1.35 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 5.10/1.35 X7 @ X8 @ X9)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl18, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.35 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.35 zip_derived_cl107, zip_derived_cl108])).
% 5.10/1.35 thf(zip_derived_cl110, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.35 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 5.10/1.35 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 5.10/1.35 X6 @ X7 @ X8 @ X9 @ X10)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl19, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.35 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.35 zip_derived_cl107, zip_derived_cl108, zip_derived_cl109])).
% 5.10/1.35 thf(zip_derived_cl114, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.35 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 5.10/1.35 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 5.10/1.35 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl20, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.35 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.35 zip_derived_cl107, zip_derived_cl108, zip_derived_cl109,
% 5.10/1.35 zip_derived_cl110])).
% 5.10/1.35 thf(zip_derived_cl117, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.35 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 5.10/1.35 (ssPv15_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 5.10/1.35 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ skc36)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl26, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.35 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.35 zip_derived_cl107, zip_derived_cl108, zip_derived_cl109,
% 5.10/1.35 zip_derived_cl110, zip_derived_cl114])).
% 5.10/1.35 thf(clause35, conjecture,
% 5.10/1.35 (~( ( ssPv26_3r1r1r1 @ U @ V @ W ) |
% 5.10/1.35 ( ssPv25_4r1r1r1r1 @ U @ V @ W @ X ) | ( ~( ssNder1_0 ) ) |
% 5.10/1.35 ( ~( ssNder1_1r1 @ U ) ) | ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 5.10/1.35 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 5.10/1.35 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 5.10/1.35 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 5.10/1.35 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 5.10/1.35 ( ~( ssPv23_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 5.10/1.35 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 5.10/1.35 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 5.10/1.35 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 5.10/1.35 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 5.10/1.35 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 5.10/1.35 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 5.10/1.35 ( ~( ssPv15_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 5.10/1.35 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) ))).
% 5.10/1.35 thf(zf_stmt_16, negated_conjecture,
% 5.10/1.35 (( ssPv26_3r1r1r1 @ U @ V @ W ) | ( ssPv25_4r1r1r1r1 @ U @ V @ W @ X ) |
% 5.10/1.35 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 5.10/1.35 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 5.10/1.35 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 5.10/1.35 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 5.10/1.35 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 5.10/1.35 ( ~( ssPv23_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 5.10/1.35 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 5.10/1.35 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 5.10/1.35 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 5.10/1.35 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 5.10/1.35 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 5.10/1.35 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 5.10/1.35 ( ~( ssPv15_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 5.10/1.35 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) )),
% 5.10/1.35 inference('cnf.neg', [status(esa)], [clause35])).
% 5.10/1.35 thf(zip_derived_cl34, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.35 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 5.10/1.35 ( (ssPv26_3r1r1r1 @ X0 @ X1 @ X2)
% 5.10/1.35 | (ssPv25_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 5.10/1.35 | ~ (ssNder1_0)
% 5.10/1.35 | ~ (ssNder1_1r1 @ X0)
% 5.10/1.35 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 5.10/1.35 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 5.10/1.35 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 5.10/1.35 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 5.10/1.35 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 5.10/1.35 | ~ (ssPv23_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 5.10/1.35 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 5.10/1.35 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 5.10/1.35 X7)
% 5.10/1.35 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 5.10/1.35 X6 @ X7 @ X8)
% 5.10/1.35 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 5.10/1.35 X6 @ X7 @ X8 @ X9)
% 5.10/1.35 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 5.10/1.35 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 5.10/1.35 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 5.10/1.35 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 5.10/1.35 | ~ (ssPv15_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 5.10/1.35 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 5.10/1.35 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 5.10/1.35 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12))),
% 5.10/1.35 inference('cnf', [status(esa)], [zf_stmt_16])).
% 5.10/1.35 thf(zip_derived_cl0, plain, ( (ssNder1_0)),
% 5.10/1.35 inference('cnf', [status(esa)], [zf_stmt_1])).
% 5.10/1.35 thf(zip_derived_cl92, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 5.10/1.35 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 5.10/1.35 thf(zip_derived_cl93, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl2, zip_derived_cl0, zip_derived_cl92])).
% 5.10/1.35 thf(zip_derived_cl94, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl3, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93])).
% 5.10/1.35 thf(zip_derived_cl96, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 5.10/1.35 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl4, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93, zip_derived_cl94])).
% 5.10/1.35 thf(zip_derived_cl98, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 5.10/1.35 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl7, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96])).
% 5.10/1.35 thf(zip_derived_cl101, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 5.10/1.35 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl10, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.35 zip_derived_cl98])).
% 5.10/1.35 thf(zip_derived_cl105, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 5.10/1.35 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl13, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.35 zip_derived_cl98, zip_derived_cl101])).
% 5.10/1.35 thf(zip_derived_cl107, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 5.10/1.35 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl16, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.35 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105])).
% 5.10/1.35 thf(zip_derived_cl108, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.35 X7 : $i, X8 : $i]:
% 5.10/1.35 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 5.10/1.35 X7 @ X8)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl17, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.35 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.35 zip_derived_cl107])).
% 5.10/1.35 thf(zip_derived_cl109, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.35 X7 : $i, X8 : $i, X9 : $i]:
% 5.10/1.35 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 5.10/1.35 X7 @ X8 @ X9)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl18, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.35 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.35 zip_derived_cl107, zip_derived_cl108])).
% 5.10/1.35 thf(zip_derived_cl110, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.35 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 5.10/1.35 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 5.10/1.35 X6 @ X7 @ X8 @ X9 @ X10)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl19, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.35 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.35 zip_derived_cl107, zip_derived_cl108, zip_derived_cl109])).
% 5.10/1.35 thf(zip_derived_cl114, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.35 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 5.10/1.35 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 5.10/1.35 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl20, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.35 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.35 zip_derived_cl107, zip_derived_cl108, zip_derived_cl109,
% 5.10/1.35 zip_derived_cl110])).
% 5.10/1.35 thf(clause26, conjecture,
% 5.10/1.35 (~( ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) |
% 5.10/1.35 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 5.10/1.35 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 5.10/1.35 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 5.10/1.35 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 5.10/1.35 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 5.10/1.35 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 5.10/1.35 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 5.10/1.35 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 5.10/1.35 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 5.10/1.35 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 5.10/1.35 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 5.10/1.35 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) ))).
% 5.10/1.35 thf(zf_stmt_17, negated_conjecture,
% 5.10/1.35 (( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) |
% 5.10/1.35 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 5.10/1.35 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 5.10/1.35 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 5.10/1.35 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 5.10/1.35 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 5.10/1.35 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 5.10/1.35 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 5.10/1.35 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 5.10/1.35 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 5.10/1.35 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 5.10/1.35 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) )),
% 5.10/1.35 inference('cnf.neg', [status(esa)], [clause26])).
% 5.10/1.35 thf(zip_derived_cl25, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.35 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 5.10/1.35 ( (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 5.10/1.35 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 5.10/1.35 | ~ (ssNder1_0)
% 5.10/1.35 | ~ (ssNder1_1r1 @ X0)
% 5.10/1.35 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 5.10/1.35 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 5.10/1.35 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 5.10/1.35 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 5.10/1.35 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 5.10/1.35 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 5.10/1.35 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 5.10/1.35 X7)
% 5.10/1.35 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 5.10/1.35 X6 @ X7 @ X8)
% 5.10/1.35 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 5.10/1.35 X6 @ X7 @ X8 @ X9)
% 5.10/1.35 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 5.10/1.35 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 5.10/1.35 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 5.10/1.35 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11))),
% 5.10/1.35 inference('cnf', [status(esa)], [zf_stmt_17])).
% 5.10/1.35 thf(zip_derived_cl0, plain, ( (ssNder1_0)),
% 5.10/1.35 inference('cnf', [status(esa)], [zf_stmt_1])).
% 5.10/1.35 thf(zip_derived_cl92, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 5.10/1.35 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 5.10/1.35 thf(zip_derived_cl93, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl2, zip_derived_cl0, zip_derived_cl92])).
% 5.10/1.35 thf(zip_derived_cl94, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl3, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93])).
% 5.10/1.35 thf(zip_derived_cl96, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 5.10/1.35 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl4, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93, zip_derived_cl94])).
% 5.10/1.35 thf(zip_derived_cl98, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 5.10/1.35 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl7, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96])).
% 5.10/1.35 thf(zip_derived_cl101, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 5.10/1.35 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl10, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.35 zip_derived_cl98])).
% 5.10/1.35 thf(zip_derived_cl105, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 5.10/1.35 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl13, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.35 zip_derived_cl98, zip_derived_cl101])).
% 5.10/1.35 thf(zip_derived_cl107, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 5.10/1.35 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl16, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.35 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105])).
% 5.10/1.35 thf(zip_derived_cl108, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.35 X7 : $i, X8 : $i]:
% 5.10/1.35 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 5.10/1.35 X7 @ X8)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl17, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.35 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.35 zip_derived_cl107])).
% 5.10/1.35 thf(zip_derived_cl109, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.35 X7 : $i, X8 : $i, X9 : $i]:
% 5.10/1.35 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 5.10/1.35 X7 @ X8 @ X9)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl18, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.35 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.35 zip_derived_cl107, zip_derived_cl108])).
% 5.10/1.35 thf(zip_derived_cl110, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.35 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 5.10/1.35 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 5.10/1.35 X6 @ X7 @ X8 @ X9 @ X10)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl19, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.35 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.35 zip_derived_cl107, zip_derived_cl108, zip_derived_cl109])).
% 5.10/1.35 thf(zip_derived_cl114, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.35 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 5.10/1.35 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 5.10/1.35 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl20, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.35 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.35 zip_derived_cl107, zip_derived_cl108, zip_derived_cl109,
% 5.10/1.35 zip_derived_cl110])).
% 5.10/1.35 thf(zip_derived_cl116, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.35 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 5.10/1.35 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 5.10/1.35 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl25, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.35 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.35 zip_derived_cl107, zip_derived_cl108, zip_derived_cl109,
% 5.10/1.35 zip_derived_cl110, zip_derived_cl114])).
% 5.10/1.35 thf(zip_derived_cl125, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.35 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 5.10/1.35 ( (ssPv26_3r1r1r1 @ X0 @ X1 @ X2)
% 5.10/1.35 | (ssPv25_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 5.10/1.35 | ~ (ssPv23_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 5.10/1.35 | ~ (ssPv15_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 5.10/1.35 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13))),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl34, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.35 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.35 zip_derived_cl107, zip_derived_cl108, zip_derived_cl109,
% 5.10/1.35 zip_derived_cl110, zip_derived_cl114, zip_derived_cl116])).
% 5.10/1.35 thf(zip_derived_cl126, plain,
% 5.10/1.35 (![X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 5.10/1.35 (~ (ssPv23_6r1r1r1r1r1r1 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7)
% 5.10/1.35 | (ssPv25_4r1r1r1r1 @ X12 @ X11 @ X10 @ X9)
% 5.10/1.35 | (ssPv26_3r1r1r1 @ X12 @ X11 @ X10))),
% 5.10/1.35 inference('sup-', [status(thm)], [zip_derived_cl117, zip_derived_cl125])).
% 5.10/1.35 thf(zip_derived_cl127, plain,
% 5.10/1.35 (![X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 5.10/1.35 ( (ssPv26_3r1r1r1 @ X4 @ X3 @ X2)
% 5.10/1.35 | (ssPv25_4r1r1r1r1 @ X4 @ X3 @ X2 @ X1))),
% 5.10/1.35 inference('sup-', [status(thm)], [zip_derived_cl99, zip_derived_cl126])).
% 5.10/1.35 thf(clause32, conjecture,
% 5.10/1.35 (~( ( ssPv14_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ skc34 ) |
% 5.10/1.35 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 5.10/1.35 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 5.10/1.35 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 5.10/1.35 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 5.10/1.35 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 5.10/1.35 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 5.10/1.35 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 5.10/1.35 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 5.10/1.35 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 5.10/1.35 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 5.10/1.35 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 5.10/1.35 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 5.10/1.35 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) ))).
% 5.10/1.35 thf(zf_stmt_18, negated_conjecture,
% 5.10/1.35 (( ssPv14_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ skc34 ) |
% 5.10/1.35 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 5.10/1.35 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 5.10/1.35 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 5.10/1.35 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 5.10/1.35 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 5.10/1.35 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 5.10/1.35 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 5.10/1.35 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 5.10/1.35 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 5.10/1.35 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 5.10/1.35 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 5.10/1.35 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) )),
% 5.10/1.35 inference('cnf.neg', [status(esa)], [clause32])).
% 5.10/1.35 thf(zip_derived_cl31, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.35 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 5.10/1.35 ( (ssPv14_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 5.10/1.35 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ skc34)
% 5.10/1.35 | ~ (ssNder1_0)
% 5.10/1.35 | ~ (ssNder1_1r1 @ X0)
% 5.10/1.35 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 5.10/1.35 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 5.10/1.35 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 5.10/1.35 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 5.10/1.35 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 5.10/1.35 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 5.10/1.35 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 5.10/1.35 X7)
% 5.10/1.35 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 5.10/1.35 X6 @ X7 @ X8)
% 5.10/1.35 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 5.10/1.35 X6 @ X7 @ X8 @ X9)
% 5.10/1.35 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 5.10/1.35 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 5.10/1.35 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 5.10/1.35 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 5.10/1.35 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 5.10/1.35 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12))),
% 5.10/1.35 inference('cnf', [status(esa)], [zf_stmt_18])).
% 5.10/1.35 thf(zip_derived_cl0, plain, ( (ssNder1_0)),
% 5.10/1.35 inference('cnf', [status(esa)], [zf_stmt_1])).
% 5.10/1.35 thf(zip_derived_cl92, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 5.10/1.35 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 5.10/1.35 thf(zip_derived_cl93, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl2, zip_derived_cl0, zip_derived_cl92])).
% 5.10/1.35 thf(zip_derived_cl94, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl3, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93])).
% 5.10/1.35 thf(zip_derived_cl96, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 5.10/1.35 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl4, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93, zip_derived_cl94])).
% 5.10/1.35 thf(zip_derived_cl98, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 5.10/1.35 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl7, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96])).
% 5.10/1.35 thf(zip_derived_cl101, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 5.10/1.35 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl10, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.35 zip_derived_cl98])).
% 5.10/1.35 thf(zip_derived_cl105, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 5.10/1.35 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl13, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.35 zip_derived_cl98, zip_derived_cl101])).
% 5.10/1.35 thf(zip_derived_cl107, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 5.10/1.35 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl16, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.35 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105])).
% 5.10/1.35 thf(zip_derived_cl108, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.35 X7 : $i, X8 : $i]:
% 5.10/1.35 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 5.10/1.35 X7 @ X8)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl17, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.35 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.35 zip_derived_cl107])).
% 5.10/1.35 thf(zip_derived_cl109, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.35 X7 : $i, X8 : $i, X9 : $i]:
% 5.10/1.35 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 5.10/1.35 X7 @ X8 @ X9)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl18, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.35 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.35 zip_derived_cl107, zip_derived_cl108])).
% 5.10/1.35 thf(zip_derived_cl110, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.35 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 5.10/1.35 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 5.10/1.35 X6 @ X7 @ X8 @ X9 @ X10)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl19, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.35 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.35 zip_derived_cl107, zip_derived_cl108, zip_derived_cl109])).
% 5.10/1.35 thf(zip_derived_cl114, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.35 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 5.10/1.35 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 5.10/1.35 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl20, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.35 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.35 zip_derived_cl107, zip_derived_cl108, zip_derived_cl109,
% 5.10/1.35 zip_derived_cl110])).
% 5.10/1.35 thf(zip_derived_cl116, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.35 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 5.10/1.35 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 5.10/1.35 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl25, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.35 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.35 zip_derived_cl107, zip_derived_cl108, zip_derived_cl109,
% 5.10/1.35 zip_derived_cl110, zip_derived_cl114])).
% 5.10/1.35 thf(zip_derived_cl123, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.35 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 5.10/1.35 (ssPv14_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 5.10/1.35 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ skc34)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl31, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.35 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.35 zip_derived_cl107, zip_derived_cl108, zip_derived_cl109,
% 5.10/1.35 zip_derived_cl110, zip_derived_cl114, zip_derived_cl116])).
% 5.10/1.35 thf(clause42, conjecture,
% 5.10/1.35 (~( ( ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) |
% 5.10/1.35 ( ssPv13_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 5.10/1.35 X10 ) |
% 5.10/1.35 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 5.10/1.35 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 5.10/1.35 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 5.10/1.35 ( ~( ssPv26_3r1r1r1 @ U @ V @ W ) ) |
% 5.10/1.35 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 5.10/1.35 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 5.10/1.35 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 5.10/1.35 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 5.10/1.35 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 5.10/1.35 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 5.10/1.35 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 5.10/1.35 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 5.10/1.35 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 5.10/1.35 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 5.10/1.35 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 5.10/1.35 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 5.10/1.35 ( ~( ssPv14_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) ))).
% 5.10/1.35 thf(zf_stmt_19, negated_conjecture,
% 5.10/1.35 (( ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) |
% 5.10/1.35 ( ssPv13_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 ) |
% 5.10/1.35 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 5.10/1.35 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 5.10/1.35 ( ~( ssPv26_3r1r1r1 @ U @ V @ W ) ) |
% 5.10/1.35 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 5.10/1.35 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 5.10/1.35 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 5.10/1.35 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 5.10/1.35 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 5.10/1.35 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 5.10/1.35 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 5.10/1.35 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 5.10/1.35 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 5.10/1.35 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 5.10/1.35 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 5.10/1.35 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 5.10/1.35 ( ~( ssPv14_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) )),
% 5.10/1.35 inference('cnf.neg', [status(esa)], [clause42])).
% 5.10/1.35 thf(zip_derived_cl41, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.35 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 5.10/1.35 X14 : $i, X15 : $i]:
% 5.10/1.35 ( (ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 5.10/1.35 X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 5.10/1.35 | (ssPv13_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 5.10/1.35 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15)
% 5.10/1.35 | ~ (ssNder1_0)
% 5.10/1.35 | ~ (ssNder1_1r1 @ X0)
% 5.10/1.35 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 5.10/1.35 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 5.10/1.35 | ~ (ssPv26_3r1r1r1 @ X0 @ X1 @ X2)
% 5.10/1.35 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 5.10/1.35 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 5.10/1.35 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 5.10/1.35 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 5.10/1.35 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 5.10/1.35 X7)
% 5.10/1.35 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 5.10/1.35 X6 @ X7 @ X8)
% 5.10/1.35 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 5.10/1.35 X6 @ X7 @ X8 @ X9)
% 5.10/1.35 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 5.10/1.35 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 5.10/1.35 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 5.10/1.35 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 5.10/1.35 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 5.10/1.35 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 5.10/1.35 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 5.10/1.35 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 5.10/1.35 | ~ (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 5.10/1.35 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 5.10/1.35 | ~ (ssPv14_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 5.10/1.35 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14))),
% 5.10/1.35 inference('cnf', [status(esa)], [zf_stmt_19])).
% 5.10/1.35 thf(zip_derived_cl0, plain, ( (ssNder1_0)),
% 5.10/1.35 inference('cnf', [status(esa)], [zf_stmt_1])).
% 5.10/1.35 thf(zip_derived_cl92, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 5.10/1.35 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 5.10/1.35 thf(zip_derived_cl93, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl2, zip_derived_cl0, zip_derived_cl92])).
% 5.10/1.35 thf(zip_derived_cl94, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl3, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93])).
% 5.10/1.35 thf(zip_derived_cl96, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 5.10/1.35 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl4, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93, zip_derived_cl94])).
% 5.10/1.35 thf(zip_derived_cl98, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 5.10/1.35 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl7, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96])).
% 5.10/1.35 thf(zip_derived_cl101, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 5.10/1.35 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl10, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.35 zip_derived_cl98])).
% 5.10/1.35 thf(zip_derived_cl105, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 5.10/1.35 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl13, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.35 zip_derived_cl98, zip_derived_cl101])).
% 5.10/1.35 thf(zip_derived_cl107, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 5.10/1.35 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl16, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.35 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105])).
% 5.10/1.35 thf(zip_derived_cl108, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.35 X7 : $i, X8 : $i]:
% 5.10/1.35 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 5.10/1.35 X7 @ X8)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl17, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.35 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.35 zip_derived_cl107])).
% 5.10/1.35 thf(zip_derived_cl109, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.35 X7 : $i, X8 : $i, X9 : $i]:
% 5.10/1.35 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 5.10/1.35 X7 @ X8 @ X9)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl18, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.35 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.35 zip_derived_cl107, zip_derived_cl108])).
% 5.10/1.35 thf(zip_derived_cl110, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.35 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 5.10/1.35 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 5.10/1.35 X6 @ X7 @ X8 @ X9 @ X10)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl19, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.35 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.35 zip_derived_cl107, zip_derived_cl108, zip_derived_cl109])).
% 5.10/1.35 thf(zip_derived_cl114, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.35 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 5.10/1.35 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 5.10/1.35 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl20, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.35 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.35 zip_derived_cl107, zip_derived_cl108, zip_derived_cl109,
% 5.10/1.35 zip_derived_cl110])).
% 5.10/1.35 thf(zip_derived_cl116, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.35 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 5.10/1.35 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 5.10/1.35 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl25, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.35 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.35 zip_derived_cl107, zip_derived_cl108, zip_derived_cl109,
% 5.10/1.35 zip_derived_cl110, zip_derived_cl114])).
% 5.10/1.35 thf(clause31, conjecture,
% 5.10/1.35 (~( ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) |
% 5.10/1.35 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 5.10/1.35 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 5.10/1.35 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 5.10/1.35 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 5.10/1.35 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 5.10/1.35 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 5.10/1.35 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 5.10/1.35 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 5.10/1.35 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 5.10/1.35 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 5.10/1.35 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 5.10/1.35 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 5.10/1.35 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) ))).
% 5.10/1.35 thf(zf_stmt_20, negated_conjecture,
% 5.10/1.35 (( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) |
% 5.10/1.35 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 5.10/1.35 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 5.10/1.35 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 5.10/1.35 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 5.10/1.35 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 5.10/1.35 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 5.10/1.35 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 5.10/1.35 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 5.10/1.35 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 5.10/1.35 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 5.10/1.35 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 5.10/1.35 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) )),
% 5.10/1.35 inference('cnf.neg', [status(esa)], [clause31])).
% 5.10/1.35 thf(zip_derived_cl30, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.35 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 5.10/1.35 ( (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 5.10/1.35 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 5.10/1.35 | ~ (ssNder1_0)
% 5.10/1.35 | ~ (ssNder1_1r1 @ X0)
% 5.10/1.35 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 5.10/1.35 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 5.10/1.35 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 5.10/1.35 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 5.10/1.35 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 5.10/1.35 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 5.10/1.35 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 5.10/1.35 X7)
% 5.10/1.35 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 5.10/1.35 X6 @ X7 @ X8)
% 5.10/1.35 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 5.10/1.35 X6 @ X7 @ X8 @ X9)
% 5.10/1.35 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 5.10/1.35 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 5.10/1.35 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 5.10/1.35 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 5.10/1.35 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 5.10/1.35 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12))),
% 5.10/1.35 inference('cnf', [status(esa)], [zf_stmt_20])).
% 5.10/1.35 thf(zip_derived_cl0, plain, ( (ssNder1_0)),
% 5.10/1.35 inference('cnf', [status(esa)], [zf_stmt_1])).
% 5.10/1.35 thf(zip_derived_cl92, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 5.10/1.35 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 5.10/1.35 thf(zip_derived_cl93, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl2, zip_derived_cl0, zip_derived_cl92])).
% 5.10/1.35 thf(zip_derived_cl94, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl3, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93])).
% 5.10/1.35 thf(zip_derived_cl96, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 5.10/1.35 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl4, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93, zip_derived_cl94])).
% 5.10/1.35 thf(zip_derived_cl98, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 5.10/1.35 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl7, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96])).
% 5.10/1.35 thf(zip_derived_cl101, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 5.10/1.35 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl10, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.35 zip_derived_cl98])).
% 5.10/1.35 thf(zip_derived_cl105, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 5.10/1.35 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl13, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.35 zip_derived_cl98, zip_derived_cl101])).
% 5.10/1.35 thf(zip_derived_cl107, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 5.10/1.35 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl16, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.35 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105])).
% 5.10/1.35 thf(zip_derived_cl108, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.35 X7 : $i, X8 : $i]:
% 5.10/1.35 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 5.10/1.35 X7 @ X8)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl17, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.35 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.35 zip_derived_cl107])).
% 5.10/1.35 thf(zip_derived_cl109, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.35 X7 : $i, X8 : $i, X9 : $i]:
% 5.10/1.35 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 5.10/1.35 X7 @ X8 @ X9)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl18, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.35 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.35 zip_derived_cl107, zip_derived_cl108])).
% 5.10/1.35 thf(zip_derived_cl110, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.35 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 5.10/1.35 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 5.10/1.35 X6 @ X7 @ X8 @ X9 @ X10)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl19, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.35 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.35 zip_derived_cl107, zip_derived_cl108, zip_derived_cl109])).
% 5.10/1.35 thf(zip_derived_cl114, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.35 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 5.10/1.35 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 5.10/1.35 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl20, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.35 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.35 zip_derived_cl107, zip_derived_cl108, zip_derived_cl109,
% 5.10/1.35 zip_derived_cl110])).
% 5.10/1.35 thf(zip_derived_cl116, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.35 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 5.10/1.35 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 5.10/1.35 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl25, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.35 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.35 zip_derived_cl107, zip_derived_cl108, zip_derived_cl109,
% 5.10/1.35 zip_derived_cl110, zip_derived_cl114])).
% 5.10/1.35 thf(zip_derived_cl122, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.35 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 5.10/1.35 (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 5.10/1.35 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl30, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.35 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.35 zip_derived_cl107, zip_derived_cl108, zip_derived_cl109,
% 5.10/1.35 zip_derived_cl110, zip_derived_cl114, zip_derived_cl116])).
% 5.10/1.35 thf(clause34, conjecture,
% 5.10/1.35 (~( ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) |
% 5.10/1.35 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 5.10/1.35 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 5.10/1.35 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 5.10/1.35 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 5.10/1.35 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 5.10/1.35 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 5.10/1.35 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 5.10/1.35 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 5.10/1.35 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 5.10/1.35 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 5.10/1.35 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 5.10/1.35 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 5.10/1.35 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 5.10/1.35 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) ))).
% 5.10/1.35 thf(zf_stmt_21, negated_conjecture,
% 5.10/1.35 (( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) |
% 5.10/1.35 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 5.10/1.35 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 5.10/1.35 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 5.10/1.35 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 5.10/1.35 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 5.10/1.35 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 5.10/1.35 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 5.10/1.35 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 5.10/1.35 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 5.10/1.35 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 5.10/1.35 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 5.10/1.35 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 5.10/1.35 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) )),
% 5.10/1.35 inference('cnf.neg', [status(esa)], [clause34])).
% 5.10/1.35 thf(zip_derived_cl33, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.35 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 5.10/1.35 X14 : $i]:
% 5.10/1.35 ( (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 5.10/1.35 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 5.10/1.35 | ~ (ssNder1_0)
% 5.10/1.35 | ~ (ssNder1_1r1 @ X0)
% 5.10/1.35 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 5.10/1.35 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 5.10/1.35 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 5.10/1.35 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 5.10/1.35 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 5.10/1.35 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 5.10/1.35 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 5.10/1.35 X7)
% 5.10/1.35 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 5.10/1.35 X6 @ X7 @ X8)
% 5.10/1.35 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 5.10/1.35 X6 @ X7 @ X8 @ X9)
% 5.10/1.35 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 5.10/1.35 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 5.10/1.35 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 5.10/1.35 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 5.10/1.35 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 5.10/1.35 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 5.10/1.35 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 5.10/1.35 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13))),
% 5.10/1.35 inference('cnf', [status(esa)], [zf_stmt_21])).
% 5.10/1.35 thf(zip_derived_cl0, plain, ( (ssNder1_0)),
% 5.10/1.35 inference('cnf', [status(esa)], [zf_stmt_1])).
% 5.10/1.35 thf(zip_derived_cl92, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 5.10/1.35 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 5.10/1.35 thf(zip_derived_cl93, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl2, zip_derived_cl0, zip_derived_cl92])).
% 5.10/1.35 thf(zip_derived_cl94, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl3, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93])).
% 5.10/1.35 thf(zip_derived_cl96, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 5.10/1.35 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl4, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93, zip_derived_cl94])).
% 5.10/1.35 thf(zip_derived_cl98, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 5.10/1.35 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl7, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96])).
% 5.10/1.35 thf(zip_derived_cl101, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 5.10/1.35 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl10, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.35 zip_derived_cl98])).
% 5.10/1.35 thf(zip_derived_cl105, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 5.10/1.35 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl13, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.35 zip_derived_cl98, zip_derived_cl101])).
% 5.10/1.35 thf(zip_derived_cl107, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 5.10/1.35 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl16, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.35 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105])).
% 5.10/1.35 thf(zip_derived_cl108, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.35 X7 : $i, X8 : $i]:
% 5.10/1.35 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 5.10/1.35 X7 @ X8)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl17, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.35 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.35 zip_derived_cl107])).
% 5.10/1.35 thf(zip_derived_cl109, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.35 X7 : $i, X8 : $i, X9 : $i]:
% 5.10/1.35 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 5.10/1.35 X7 @ X8 @ X9)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl18, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.35 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.35 zip_derived_cl107, zip_derived_cl108])).
% 5.10/1.35 thf(zip_derived_cl110, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.35 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 5.10/1.35 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 5.10/1.35 X6 @ X7 @ X8 @ X9 @ X10)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl19, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.35 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.35 zip_derived_cl107, zip_derived_cl108, zip_derived_cl109])).
% 5.10/1.35 thf(zip_derived_cl114, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.35 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 5.10/1.35 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 5.10/1.35 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl20, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.35 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.35 zip_derived_cl107, zip_derived_cl108, zip_derived_cl109,
% 5.10/1.35 zip_derived_cl110])).
% 5.10/1.35 thf(zip_derived_cl116, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.35 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 5.10/1.35 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 5.10/1.35 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl25, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.35 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.35 zip_derived_cl107, zip_derived_cl108, zip_derived_cl109,
% 5.10/1.35 zip_derived_cl110, zip_derived_cl114])).
% 5.10/1.35 thf(zip_derived_cl122, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.35 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 5.10/1.35 (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 5.10/1.35 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl30, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.35 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.35 zip_derived_cl107, zip_derived_cl108, zip_derived_cl109,
% 5.10/1.35 zip_derived_cl110, zip_derived_cl114, zip_derived_cl116])).
% 5.10/1.35 thf(zip_derived_cl128, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.35 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 5.10/1.35 X14 : $i]:
% 5.10/1.35 (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 5.10/1.35 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl33, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.35 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.35 zip_derived_cl107, zip_derived_cl108, zip_derived_cl109,
% 5.10/1.35 zip_derived_cl110, zip_derived_cl114, zip_derived_cl116,
% 5.10/1.35 zip_derived_cl122])).
% 5.10/1.35 thf(zip_derived_cl139, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.35 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 5.10/1.35 X14 : $i, X15 : $i]:
% 5.10/1.35 ( (ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 5.10/1.35 X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 5.10/1.35 | (ssPv13_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 5.10/1.35 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15)
% 5.10/1.35 | ~ (ssPv26_3r1r1r1 @ X0 @ X1 @ X2)
% 5.10/1.35 | ~ (ssPv14_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 5.10/1.35 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14))),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl41, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.35 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.35 zip_derived_cl107, zip_derived_cl108, zip_derived_cl109,
% 5.10/1.35 zip_derived_cl110, zip_derived_cl114, zip_derived_cl116,
% 5.10/1.35 zip_derived_cl122, zip_derived_cl128])).
% 5.10/1.35 thf(zip_derived_cl140, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.35 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 5.10/1.35 X14 : $i]:
% 5.10/1.35 (~ (ssPv26_3r1r1r1 @ X13 @ X12 @ X11)
% 5.10/1.35 | (ssPv13_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X13 @ X12 @ X11 @
% 5.10/1.35 X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ skc34 @
% 5.10/1.35 X14)
% 5.10/1.35 | (ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X13 @ X12 @ X11 @ X10 @ X9 @
% 5.10/1.35 X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2))),
% 5.10/1.35 inference('sup-', [status(thm)], [zip_derived_cl123, zip_derived_cl139])).
% 5.10/1.35 thf(zip_derived_cl141, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.35 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 5.10/1.35 X14 : $i, X15 : $i]:
% 5.10/1.35 ( (ssPv25_4r1r1r1r1 @ X2 @ X1 @ X0 @ X15)
% 5.10/1.35 | (ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X2 @ X1 @ X0 @ X11 @ X10 @
% 5.10/1.35 X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3)
% 5.10/1.35 | (ssPv13_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X2 @ X1 @ X0 @ X11 @
% 5.10/1.35 X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X14 @ X13 @ skc34 @ X12))),
% 5.10/1.35 inference('sup-', [status(thm)], [zip_derived_cl127, zip_derived_cl140])).
% 5.10/1.35 thf(clause37, conjecture,
% 5.10/1.35 (~( ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 5.10/1.35 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 5.10/1.35 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 5.10/1.35 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 5.10/1.35 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 5.10/1.35 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 5.10/1.35 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 5.10/1.35 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 5.10/1.35 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 5.10/1.35 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 5.10/1.35 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 5.10/1.35 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 5.10/1.35 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 5.10/1.35 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 5.10/1.35 ( ~( ssPv13_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 5.10/1.35 X9 @ skc33 ) ) ))).
% 5.10/1.35 thf(zf_stmt_22, negated_conjecture,
% 5.10/1.35 (( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 5.10/1.35 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 5.10/1.35 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 5.10/1.35 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 5.10/1.35 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 5.10/1.35 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 5.10/1.35 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 5.10/1.35 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 5.10/1.35 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 5.10/1.35 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 5.10/1.35 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 5.10/1.35 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 5.10/1.35 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 5.10/1.35 ( ~( ssPv13_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 5.10/1.35 skc33 ) )),
% 5.10/1.35 inference('cnf.neg', [status(esa)], [clause37])).
% 5.10/1.35 thf(zip_derived_cl36, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.35 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 5.10/1.35 X14 : $i]:
% 5.10/1.35 (~ (ssNder1_0)
% 5.10/1.35 | ~ (ssNder1_1r1 @ X0)
% 5.10/1.35 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 5.10/1.35 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 5.10/1.35 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 5.10/1.35 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 5.10/1.35 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 5.10/1.35 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 5.10/1.35 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 5.10/1.35 X7)
% 5.10/1.35 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 5.10/1.35 X6 @ X7 @ X8)
% 5.10/1.35 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 5.10/1.35 X6 @ X7 @ X8 @ X9)
% 5.10/1.35 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 5.10/1.35 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 5.10/1.35 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 5.10/1.35 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 5.10/1.35 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 5.10/1.35 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 5.10/1.35 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 5.10/1.35 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 5.10/1.35 | ~ (ssPv13_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 5.10/1.35 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @
% 5.10/1.35 skc33))),
% 5.10/1.35 inference('cnf', [status(esa)], [zf_stmt_22])).
% 5.10/1.35 thf(zip_derived_cl0, plain, ( (ssNder1_0)),
% 5.10/1.35 inference('cnf', [status(esa)], [zf_stmt_1])).
% 5.10/1.35 thf(zip_derived_cl92, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 5.10/1.35 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 5.10/1.35 thf(zip_derived_cl93, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl2, zip_derived_cl0, zip_derived_cl92])).
% 5.10/1.35 thf(zip_derived_cl94, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl3, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93])).
% 5.10/1.35 thf(zip_derived_cl96, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 5.10/1.35 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl4, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93, zip_derived_cl94])).
% 5.10/1.35 thf(zip_derived_cl98, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 5.10/1.35 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl7, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96])).
% 5.10/1.35 thf(zip_derived_cl101, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 5.10/1.35 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl10, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.35 zip_derived_cl98])).
% 5.10/1.35 thf(zip_derived_cl105, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 5.10/1.35 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl13, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.35 zip_derived_cl98, zip_derived_cl101])).
% 5.10/1.35 thf(zip_derived_cl107, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 5.10/1.35 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl16, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.35 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105])).
% 5.10/1.35 thf(zip_derived_cl108, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.35 X7 : $i, X8 : $i]:
% 5.10/1.35 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 5.10/1.35 X7 @ X8)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl17, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.35 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.35 zip_derived_cl107])).
% 5.10/1.35 thf(zip_derived_cl109, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.35 X7 : $i, X8 : $i, X9 : $i]:
% 5.10/1.35 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 5.10/1.35 X7 @ X8 @ X9)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl18, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.35 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.35 zip_derived_cl107, zip_derived_cl108])).
% 5.10/1.35 thf(zip_derived_cl110, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.35 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 5.10/1.35 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 5.10/1.35 X6 @ X7 @ X8 @ X9 @ X10)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl19, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.35 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.35 zip_derived_cl107, zip_derived_cl108, zip_derived_cl109])).
% 5.10/1.35 thf(zip_derived_cl114, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.35 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 5.10/1.35 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 5.10/1.35 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl20, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.35 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.35 zip_derived_cl107, zip_derived_cl108, zip_derived_cl109,
% 5.10/1.35 zip_derived_cl110])).
% 5.10/1.35 thf(zip_derived_cl116, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.35 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 5.10/1.35 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 5.10/1.35 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl25, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.35 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.35 zip_derived_cl107, zip_derived_cl108, zip_derived_cl109,
% 5.10/1.35 zip_derived_cl110, zip_derived_cl114])).
% 5.10/1.35 thf(zip_derived_cl122, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.35 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 5.10/1.35 (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 5.10/1.35 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl30, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.35 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.35 zip_derived_cl107, zip_derived_cl108, zip_derived_cl109,
% 5.10/1.35 zip_derived_cl110, zip_derived_cl114, zip_derived_cl116])).
% 5.10/1.35 thf(zip_derived_cl124, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.35 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 5.10/1.35 X14 : $i]:
% 5.10/1.35 ~ (ssPv13_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 5.10/1.35 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ skc33)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl36, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.35 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.35 zip_derived_cl107, zip_derived_cl108, zip_derived_cl109,
% 5.10/1.35 zip_derived_cl110, zip_derived_cl114, zip_derived_cl116,
% 5.10/1.35 zip_derived_cl122])).
% 5.10/1.35 thf(zip_derived_cl143, plain,
% 5.10/1.35 (![X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i, X8 : $i,
% 5.10/1.35 X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i, X14 : $i]:
% 5.10/1.35 ( (ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X13 @ X12 @ X11 @ X10 @ X9 @
% 5.10/1.35 X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2)
% 5.10/1.35 | (ssPv25_4r1r1r1r1 @ X13 @ X12 @ X11 @ X14))),
% 5.10/1.35 inference('sup-', [status(thm)], [zip_derived_cl141, zip_derived_cl124])).
% 5.10/1.35 thf(clause53, conjecture,
% 5.10/1.35 (~( ( ssPv7_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 5.10/1.35 X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ skc28 ) |
% 5.10/1.35 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 5.10/1.35 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 5.10/1.35 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 5.10/1.35 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 5.10/1.35 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 5.10/1.35 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 5.10/1.35 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 5.10/1.35 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 5.10/1.35 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 5.10/1.35 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 5.10/1.35 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 5.10/1.35 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 5.10/1.35 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 5.10/1.35 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 5.10/1.35 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 5.10/1.35 ( ~( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 5.10/1.35 X9 @ X10 ) ) |
% 5.10/1.35 ( ~( ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 5.10/1.35 X9 @ X10 @ X11 ) ) |
% 5.10/1.35 ( ~( ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 5.10/1.35 X9 @ X10 @ X11 @ X12 ) ) |
% 5.10/1.35 ( ~( ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 5.10/1.35 X9 @ X10 @ X11 @ X12 @ X13 ) ) |
% 5.10/1.35 ( ~( ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 5.10/1.35 X9 @ X10 @ X11 @ X12 @ X13 @ X14 ) ) ))).
% 5.10/1.35 thf(zf_stmt_23, negated_conjecture,
% 5.10/1.35 (( ssPv7_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 5.10/1.35 X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ skc28 ) |
% 5.10/1.35 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 5.10/1.35 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 5.10/1.35 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 5.10/1.35 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 5.10/1.35 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 5.10/1.35 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 5.10/1.35 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 5.10/1.35 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 5.10/1.35 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 5.10/1.35 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 5.10/1.35 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 5.10/1.35 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 5.10/1.35 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 5.10/1.35 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 5.10/1.35 ( ~( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 5.10/1.35 X10 ) ) |
% 5.10/1.35 ( ~( ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 5.10/1.35 X10 @ X11 ) ) |
% 5.10/1.35 ( ~( ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 5.10/1.35 X10 @ X11 @ X12 ) ) |
% 5.10/1.35 ( ~( ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 5.10/1.35 X10 @ X11 @ X12 @ X13 ) ) |
% 5.10/1.35 ( ~( ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 5.10/1.35 X10 @ X11 @ X12 @ X13 @ X14 ) )),
% 5.10/1.35 inference('cnf.neg', [status(esa)], [clause53])).
% 5.10/1.35 thf(zip_derived_cl52, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.35 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 5.10/1.35 X14 : $i, X15 : $i, X16 : $i, X17 : $i, X18 : $i, X19 : $i, X20 : $i]:
% 5.10/1.35 ( (ssPv7_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @
% 5.10/1.35 X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 5.10/1.35 X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ skc28)
% 5.10/1.35 | ~ (ssNder1_0)
% 5.10/1.35 | ~ (ssNder1_1r1 @ X0)
% 5.10/1.35 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 5.10/1.35 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 5.10/1.35 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 5.10/1.35 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 5.10/1.35 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 5.10/1.35 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 5.10/1.35 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 5.10/1.35 X7)
% 5.10/1.35 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 5.10/1.35 X6 @ X7 @ X8)
% 5.10/1.35 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 5.10/1.35 X6 @ X7 @ X8 @ X9)
% 5.10/1.35 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 5.10/1.35 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 5.10/1.35 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 5.10/1.35 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 5.10/1.35 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 5.10/1.35 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 5.10/1.35 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 5.10/1.35 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 5.10/1.35 | ~ (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 5.10/1.35 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 5.10/1.35 | ~ (ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 5.10/1.35 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 5.10/1.35 X14 @ X15)
% 5.10/1.35 | ~ (ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 5.10/1.35 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 5.10/1.35 X14 @ X15 @ X16)
% 5.10/1.35 | ~ (ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 5.10/1.35 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 5.10/1.35 X14 @ X15 @ X16 @ X17)
% 5.10/1.35 | ~ (ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @
% 5.10/1.35 X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 5.10/1.35 X14 @ X15 @ X16 @ X17 @ X18)
% 5.10/1.35 | ~ (ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @
% 5.10/1.35 X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 5.10/1.35 X14 @ X15 @ X16 @ X17 @ X18 @ X19))),
% 5.10/1.35 inference('cnf', [status(esa)], [zf_stmt_23])).
% 5.10/1.35 thf(zip_derived_cl0, plain, ( (ssNder1_0)),
% 5.10/1.35 inference('cnf', [status(esa)], [zf_stmt_1])).
% 5.10/1.35 thf(zip_derived_cl92, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 5.10/1.35 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 5.10/1.35 thf(zip_derived_cl93, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl2, zip_derived_cl0, zip_derived_cl92])).
% 5.10/1.35 thf(zip_derived_cl94, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl3, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93])).
% 5.10/1.35 thf(zip_derived_cl96, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 5.10/1.35 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl4, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93, zip_derived_cl94])).
% 5.10/1.35 thf(zip_derived_cl98, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 5.10/1.35 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl7, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96])).
% 5.10/1.35 thf(zip_derived_cl101, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 5.10/1.35 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl10, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.35 zip_derived_cl98])).
% 5.10/1.35 thf(zip_derived_cl105, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 5.10/1.35 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl13, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.35 zip_derived_cl98, zip_derived_cl101])).
% 5.10/1.35 thf(zip_derived_cl107, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 5.10/1.35 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl16, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.35 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105])).
% 5.10/1.35 thf(zip_derived_cl108, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.35 X7 : $i, X8 : $i]:
% 5.10/1.35 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 5.10/1.35 X7 @ X8)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl17, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.35 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.35 zip_derived_cl107])).
% 5.10/1.35 thf(zip_derived_cl109, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.35 X7 : $i, X8 : $i, X9 : $i]:
% 5.10/1.35 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 5.10/1.35 X7 @ X8 @ X9)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl18, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.35 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.35 zip_derived_cl107, zip_derived_cl108])).
% 5.10/1.35 thf(zip_derived_cl110, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.35 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 5.10/1.35 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 5.10/1.35 X6 @ X7 @ X8 @ X9 @ X10)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl19, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.35 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.35 zip_derived_cl107, zip_derived_cl108, zip_derived_cl109])).
% 5.10/1.35 thf(zip_derived_cl114, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.35 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 5.10/1.35 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 5.10/1.35 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl20, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.35 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.35 zip_derived_cl107, zip_derived_cl108, zip_derived_cl109,
% 5.10/1.35 zip_derived_cl110])).
% 5.10/1.35 thf(zip_derived_cl116, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.35 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 5.10/1.35 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 5.10/1.35 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl25, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.35 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.35 zip_derived_cl107, zip_derived_cl108, zip_derived_cl109,
% 5.10/1.35 zip_derived_cl110, zip_derived_cl114])).
% 5.10/1.35 thf(zip_derived_cl122, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.35 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 5.10/1.35 (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 5.10/1.35 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl30, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.35 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.35 zip_derived_cl107, zip_derived_cl108, zip_derived_cl109,
% 5.10/1.35 zip_derived_cl110, zip_derived_cl114, zip_derived_cl116])).
% 5.10/1.35 thf(zip_derived_cl128, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.35 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 5.10/1.35 X14 : $i]:
% 5.10/1.35 (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 5.10/1.35 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl33, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.35 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.35 zip_derived_cl107, zip_derived_cl108, zip_derived_cl109,
% 5.10/1.35 zip_derived_cl110, zip_derived_cl114, zip_derived_cl116,
% 5.10/1.35 zip_derived_cl122])).
% 5.10/1.35 thf(clause38, conjecture,
% 5.10/1.35 (~( ( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 5.10/1.35 X10 ) |
% 5.10/1.35 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 5.10/1.35 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 5.10/1.35 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 5.10/1.35 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 5.10/1.35 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 5.10/1.35 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 5.10/1.35 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 5.10/1.35 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 5.10/1.35 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 5.10/1.35 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 5.10/1.35 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 5.10/1.35 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 5.10/1.35 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 5.10/1.35 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 5.10/1.35 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) ))).
% 5.10/1.35 thf(zf_stmt_24, negated_conjecture,
% 5.10/1.35 (( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 ) |
% 5.10/1.35 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 5.10/1.35 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 5.10/1.35 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 5.10/1.35 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 5.10/1.35 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 5.10/1.35 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 5.10/1.35 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 5.10/1.35 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 5.10/1.35 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 5.10/1.35 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 5.10/1.35 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 5.10/1.35 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 5.10/1.35 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 5.10/1.35 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) )),
% 5.10/1.35 inference('cnf.neg', [status(esa)], [clause38])).
% 5.10/1.35 thf(zip_derived_cl37, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.35 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 5.10/1.35 X14 : $i, X15 : $i]:
% 5.10/1.35 ( (ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 5.10/1.35 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15)
% 5.10/1.35 | ~ (ssNder1_0)
% 5.10/1.35 | ~ (ssNder1_1r1 @ X0)
% 5.10/1.35 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 5.10/1.35 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 5.10/1.35 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 5.10/1.35 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 5.10/1.35 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 5.10/1.35 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 5.10/1.35 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 5.10/1.35 X7)
% 5.10/1.35 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 5.10/1.35 X6 @ X7 @ X8)
% 5.10/1.35 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 5.10/1.35 X6 @ X7 @ X8 @ X9)
% 5.10/1.35 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 5.10/1.35 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 5.10/1.35 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 5.10/1.35 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 5.10/1.35 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 5.10/1.35 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 5.10/1.35 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 5.10/1.35 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 5.10/1.35 | ~ (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 5.10/1.35 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14))),
% 5.10/1.35 inference('cnf', [status(esa)], [zf_stmt_24])).
% 5.10/1.35 thf(zip_derived_cl0, plain, ( (ssNder1_0)),
% 5.10/1.35 inference('cnf', [status(esa)], [zf_stmt_1])).
% 5.10/1.35 thf(zip_derived_cl92, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 5.10/1.35 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 5.10/1.35 thf(zip_derived_cl93, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl2, zip_derived_cl0, zip_derived_cl92])).
% 5.10/1.35 thf(zip_derived_cl94, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl3, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93])).
% 5.10/1.35 thf(zip_derived_cl96, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 5.10/1.35 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl4, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93, zip_derived_cl94])).
% 5.10/1.35 thf(zip_derived_cl98, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 5.10/1.35 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl7, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96])).
% 5.10/1.35 thf(zip_derived_cl101, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 5.10/1.35 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl10, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.35 zip_derived_cl98])).
% 5.10/1.35 thf(zip_derived_cl105, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 5.10/1.35 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl13, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.35 zip_derived_cl98, zip_derived_cl101])).
% 5.10/1.35 thf(zip_derived_cl107, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 5.10/1.35 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl16, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.35 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105])).
% 5.10/1.35 thf(zip_derived_cl108, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.35 X7 : $i, X8 : $i]:
% 5.10/1.35 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 5.10/1.35 X7 @ X8)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl17, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.35 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.35 zip_derived_cl107])).
% 5.10/1.35 thf(zip_derived_cl109, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.35 X7 : $i, X8 : $i, X9 : $i]:
% 5.10/1.35 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 5.10/1.35 X7 @ X8 @ X9)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl18, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.35 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.35 zip_derived_cl107, zip_derived_cl108])).
% 5.10/1.35 thf(zip_derived_cl110, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.35 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 5.10/1.35 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 5.10/1.35 X6 @ X7 @ X8 @ X9 @ X10)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl19, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.35 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.35 zip_derived_cl107, zip_derived_cl108, zip_derived_cl109])).
% 5.10/1.35 thf(zip_derived_cl114, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.35 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 5.10/1.35 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 5.10/1.35 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl20, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.35 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.35 zip_derived_cl107, zip_derived_cl108, zip_derived_cl109,
% 5.10/1.35 zip_derived_cl110])).
% 5.10/1.35 thf(zip_derived_cl116, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.35 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 5.10/1.35 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 5.10/1.35 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl25, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.35 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.35 zip_derived_cl107, zip_derived_cl108, zip_derived_cl109,
% 5.10/1.35 zip_derived_cl110, zip_derived_cl114])).
% 5.10/1.35 thf(zip_derived_cl122, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.35 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 5.10/1.35 (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 5.10/1.35 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl30, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.35 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.35 zip_derived_cl107, zip_derived_cl108, zip_derived_cl109,
% 5.10/1.35 zip_derived_cl110, zip_derived_cl114, zip_derived_cl116])).
% 5.10/1.35 thf(zip_derived_cl128, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.35 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 5.10/1.35 X14 : $i]:
% 5.10/1.35 (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 5.10/1.35 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl33, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.35 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.35 zip_derived_cl107, zip_derived_cl108, zip_derived_cl109,
% 5.10/1.35 zip_derived_cl110, zip_derived_cl114, zip_derived_cl116,
% 5.10/1.35 zip_derived_cl122])).
% 5.10/1.35 thf(zip_derived_cl130, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.35 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 5.10/1.35 X14 : $i, X15 : $i]:
% 5.10/1.35 (ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 5.10/1.35 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl37, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.35 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.35 zip_derived_cl107, zip_derived_cl108, zip_derived_cl109,
% 5.10/1.35 zip_derived_cl110, zip_derived_cl114, zip_derived_cl116,
% 5.10/1.35 zip_derived_cl122, zip_derived_cl128])).
% 5.10/1.35 thf(clause39, conjecture,
% 5.10/1.35 (~( ( ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 5.10/1.35 X10 @ X11 ) |
% 5.10/1.35 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 5.10/1.35 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 5.10/1.35 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 5.10/1.35 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 5.10/1.35 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 5.10/1.35 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 5.10/1.35 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 5.10/1.35 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 5.10/1.35 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 5.10/1.35 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 5.10/1.35 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 5.10/1.35 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 5.10/1.35 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 5.10/1.35 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 5.10/1.35 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 5.10/1.35 ( ~( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 5.10/1.35 X9 @ X10 ) ) ))).
% 5.10/1.35 thf(zf_stmt_25, negated_conjecture,
% 5.10/1.35 (( ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 5.10/1.35 X10 @ X11 ) |
% 5.10/1.35 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 5.10/1.35 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 5.10/1.35 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 5.10/1.35 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 5.10/1.35 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 5.10/1.35 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 5.10/1.35 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 5.10/1.35 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 5.10/1.35 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 5.10/1.35 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 5.10/1.35 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 5.10/1.35 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 5.10/1.35 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 5.10/1.35 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 5.10/1.35 ( ~( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 5.10/1.35 X10 ) )),
% 5.10/1.35 inference('cnf.neg', [status(esa)], [clause39])).
% 5.10/1.35 thf(zip_derived_cl38, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.35 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 5.10/1.35 X14 : $i, X15 : $i, X16 : $i]:
% 5.10/1.35 ( (ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 5.10/1.35 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @
% 5.10/1.35 X16)
% 5.10/1.35 | ~ (ssNder1_0)
% 5.10/1.35 | ~ (ssNder1_1r1 @ X0)
% 5.10/1.35 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 5.10/1.35 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 5.10/1.35 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 5.10/1.35 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 5.10/1.35 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 5.10/1.35 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 5.10/1.35 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 5.10/1.35 X7)
% 5.10/1.35 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 5.10/1.35 X6 @ X7 @ X8)
% 5.10/1.35 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 5.10/1.35 X6 @ X7 @ X8 @ X9)
% 5.10/1.35 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 5.10/1.35 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 5.10/1.35 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 5.10/1.35 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 5.10/1.35 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 5.10/1.35 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 5.10/1.35 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 5.10/1.35 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 5.10/1.35 | ~ (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 5.10/1.35 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 5.10/1.35 | ~ (ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 5.10/1.35 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 5.10/1.35 X14 @ X15))),
% 5.10/1.35 inference('cnf', [status(esa)], [zf_stmt_25])).
% 5.10/1.35 thf(zip_derived_cl0, plain, ( (ssNder1_0)),
% 5.10/1.35 inference('cnf', [status(esa)], [zf_stmt_1])).
% 5.10/1.35 thf(zip_derived_cl92, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 5.10/1.35 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 5.10/1.35 thf(zip_derived_cl93, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl2, zip_derived_cl0, zip_derived_cl92])).
% 5.10/1.35 thf(zip_derived_cl94, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl3, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93])).
% 5.10/1.35 thf(zip_derived_cl96, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 5.10/1.35 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl4, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93, zip_derived_cl94])).
% 5.10/1.35 thf(zip_derived_cl98, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 5.10/1.35 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl7, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96])).
% 5.10/1.35 thf(zip_derived_cl101, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 5.10/1.35 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl10, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.35 zip_derived_cl98])).
% 5.10/1.35 thf(zip_derived_cl105, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 5.10/1.35 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl13, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.35 zip_derived_cl98, zip_derived_cl101])).
% 5.10/1.35 thf(zip_derived_cl107, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 5.10/1.35 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl16, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.35 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105])).
% 5.10/1.35 thf(zip_derived_cl108, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.35 X7 : $i, X8 : $i]:
% 5.10/1.35 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 5.10/1.35 X7 @ X8)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl17, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.35 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.35 zip_derived_cl107])).
% 5.10/1.35 thf(zip_derived_cl109, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.35 X7 : $i, X8 : $i, X9 : $i]:
% 5.10/1.35 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 5.10/1.35 X7 @ X8 @ X9)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl18, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.35 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.35 zip_derived_cl107, zip_derived_cl108])).
% 5.10/1.35 thf(zip_derived_cl110, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.35 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 5.10/1.35 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 5.10/1.35 X6 @ X7 @ X8 @ X9 @ X10)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl19, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.35 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.35 zip_derived_cl107, zip_derived_cl108, zip_derived_cl109])).
% 5.10/1.35 thf(zip_derived_cl114, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.35 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 5.10/1.35 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 5.10/1.35 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl20, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.35 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.35 zip_derived_cl107, zip_derived_cl108, zip_derived_cl109,
% 5.10/1.35 zip_derived_cl110])).
% 5.10/1.35 thf(zip_derived_cl116, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.35 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 5.10/1.35 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 5.10/1.35 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl25, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.35 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.35 zip_derived_cl107, zip_derived_cl108, zip_derived_cl109,
% 5.10/1.35 zip_derived_cl110, zip_derived_cl114])).
% 5.10/1.35 thf(zip_derived_cl122, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.35 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 5.10/1.35 (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 5.10/1.35 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl30, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.35 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.35 zip_derived_cl107, zip_derived_cl108, zip_derived_cl109,
% 5.10/1.35 zip_derived_cl110, zip_derived_cl114, zip_derived_cl116])).
% 5.10/1.35 thf(zip_derived_cl128, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.35 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 5.10/1.35 X14 : $i]:
% 5.10/1.35 (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 5.10/1.35 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl33, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.35 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.35 zip_derived_cl107, zip_derived_cl108, zip_derived_cl109,
% 5.10/1.35 zip_derived_cl110, zip_derived_cl114, zip_derived_cl116,
% 5.10/1.35 zip_derived_cl122])).
% 5.10/1.35 thf(zip_derived_cl130, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.35 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 5.10/1.35 X14 : $i, X15 : $i]:
% 5.10/1.35 (ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 5.10/1.35 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl37, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.35 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.35 zip_derived_cl107, zip_derived_cl108, zip_derived_cl109,
% 5.10/1.35 zip_derived_cl110, zip_derived_cl114, zip_derived_cl116,
% 5.10/1.35 zip_derived_cl122, zip_derived_cl128])).
% 5.10/1.35 thf(zip_derived_cl131, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.35 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 5.10/1.35 X14 : $i, X15 : $i, X16 : $i]:
% 5.10/1.35 (ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 5.10/1.35 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @
% 5.10/1.35 X16)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl38, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.35 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.35 zip_derived_cl107, zip_derived_cl108, zip_derived_cl109,
% 5.10/1.35 zip_derived_cl110, zip_derived_cl114, zip_derived_cl116,
% 5.10/1.35 zip_derived_cl122, zip_derived_cl128, zip_derived_cl130])).
% 5.10/1.35 thf(clause43, conjecture,
% 5.10/1.35 (~( ( ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 5.10/1.35 X10 @ X11 @ X12 ) |
% 5.10/1.35 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 5.10/1.35 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 5.10/1.35 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 5.10/1.35 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 5.10/1.35 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 5.10/1.35 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 5.10/1.35 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 5.10/1.35 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 5.10/1.35 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 5.10/1.35 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 5.10/1.35 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 5.10/1.35 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 5.10/1.35 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 5.10/1.35 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 5.10/1.35 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 5.10/1.35 ( ~( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 5.10/1.35 X9 @ X10 ) ) |
% 5.10/1.35 ( ~( ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 5.10/1.35 X9 @ X10 @ X11 ) ) ))).
% 5.10/1.35 thf(zf_stmt_26, negated_conjecture,
% 5.10/1.35 (( ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 5.10/1.35 X10 @ X11 @ X12 ) |
% 5.10/1.35 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 5.10/1.35 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 5.10/1.35 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 5.10/1.35 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 5.10/1.35 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 5.10/1.35 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 5.10/1.35 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 5.10/1.35 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 5.10/1.35 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 5.10/1.35 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 5.10/1.35 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 5.10/1.35 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 5.10/1.35 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 5.10/1.35 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 5.10/1.35 ( ~( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 5.10/1.35 X10 ) ) |
% 5.10/1.35 ( ~( ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 5.10/1.35 X10 @ X11 ) )),
% 5.10/1.35 inference('cnf.neg', [status(esa)], [clause43])).
% 5.10/1.35 thf(zip_derived_cl42, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.35 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 5.10/1.35 X14 : $i, X15 : $i, X16 : $i, X17 : $i]:
% 5.10/1.35 ( (ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 5.10/1.35 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @
% 5.10/1.35 X15 @ X16 @ X17)
% 5.10/1.35 | ~ (ssNder1_0)
% 5.10/1.35 | ~ (ssNder1_1r1 @ X0)
% 5.10/1.35 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 5.10/1.35 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 5.10/1.35 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 5.10/1.35 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 5.10/1.35 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 5.10/1.35 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 5.10/1.35 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 5.10/1.35 X7)
% 5.10/1.35 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 5.10/1.35 X6 @ X7 @ X8)
% 5.10/1.35 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 5.10/1.35 X6 @ X7 @ X8 @ X9)
% 5.10/1.35 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 5.10/1.35 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 5.10/1.35 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 5.10/1.35 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 5.10/1.35 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 5.10/1.35 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 5.10/1.35 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 5.10/1.35 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 5.10/1.35 | ~ (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 5.10/1.35 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 5.10/1.35 | ~ (ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 5.10/1.35 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 5.10/1.35 X14 @ X15)
% 5.10/1.35 | ~ (ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 5.10/1.35 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 5.10/1.35 X14 @ X15 @ X16))),
% 5.10/1.35 inference('cnf', [status(esa)], [zf_stmt_26])).
% 5.10/1.35 thf(zip_derived_cl0, plain, ( (ssNder1_0)),
% 5.10/1.35 inference('cnf', [status(esa)], [zf_stmt_1])).
% 5.10/1.35 thf(zip_derived_cl92, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 5.10/1.35 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 5.10/1.35 thf(zip_derived_cl93, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl2, zip_derived_cl0, zip_derived_cl92])).
% 5.10/1.35 thf(zip_derived_cl94, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl3, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93])).
% 5.10/1.35 thf(zip_derived_cl96, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 5.10/1.35 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl4, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93, zip_derived_cl94])).
% 5.10/1.35 thf(zip_derived_cl98, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 5.10/1.35 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl7, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96])).
% 5.10/1.35 thf(zip_derived_cl101, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 5.10/1.35 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl10, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.35 zip_derived_cl98])).
% 5.10/1.35 thf(zip_derived_cl105, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 5.10/1.35 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl13, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.35 zip_derived_cl98, zip_derived_cl101])).
% 5.10/1.35 thf(zip_derived_cl107, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 5.10/1.35 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl16, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.35 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105])).
% 5.10/1.35 thf(zip_derived_cl108, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.35 X7 : $i, X8 : $i]:
% 5.10/1.35 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 5.10/1.35 X7 @ X8)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl17, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.35 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.35 zip_derived_cl107])).
% 5.10/1.35 thf(zip_derived_cl109, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.35 X7 : $i, X8 : $i, X9 : $i]:
% 5.10/1.35 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 5.10/1.35 X7 @ X8 @ X9)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl18, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.35 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.35 zip_derived_cl107, zip_derived_cl108])).
% 5.10/1.35 thf(zip_derived_cl110, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.35 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 5.10/1.35 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 5.10/1.35 X6 @ X7 @ X8 @ X9 @ X10)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl19, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.35 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.35 zip_derived_cl107, zip_derived_cl108, zip_derived_cl109])).
% 5.10/1.35 thf(zip_derived_cl114, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.35 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 5.10/1.35 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 5.10/1.35 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl20, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.35 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.35 zip_derived_cl107, zip_derived_cl108, zip_derived_cl109,
% 5.10/1.35 zip_derived_cl110])).
% 5.10/1.35 thf(zip_derived_cl116, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.35 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 5.10/1.35 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 5.10/1.35 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl25, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.35 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.35 zip_derived_cl107, zip_derived_cl108, zip_derived_cl109,
% 5.10/1.35 zip_derived_cl110, zip_derived_cl114])).
% 5.10/1.35 thf(zip_derived_cl122, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.35 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 5.10/1.35 (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 5.10/1.35 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl30, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.35 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.35 zip_derived_cl107, zip_derived_cl108, zip_derived_cl109,
% 5.10/1.35 zip_derived_cl110, zip_derived_cl114, zip_derived_cl116])).
% 5.10/1.35 thf(zip_derived_cl128, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.35 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 5.10/1.35 X14 : $i]:
% 5.10/1.35 (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 5.10/1.35 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl33, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.35 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.35 zip_derived_cl107, zip_derived_cl108, zip_derived_cl109,
% 5.10/1.35 zip_derived_cl110, zip_derived_cl114, zip_derived_cl116,
% 5.10/1.35 zip_derived_cl122])).
% 5.10/1.35 thf(zip_derived_cl130, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.35 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 5.10/1.35 X14 : $i, X15 : $i]:
% 5.10/1.35 (ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 5.10/1.35 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl37, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.35 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.35 zip_derived_cl107, zip_derived_cl108, zip_derived_cl109,
% 5.10/1.35 zip_derived_cl110, zip_derived_cl114, zip_derived_cl116,
% 5.10/1.35 zip_derived_cl122, zip_derived_cl128])).
% 5.10/1.35 thf(zip_derived_cl131, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.35 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 5.10/1.35 X14 : $i, X15 : $i, X16 : $i]:
% 5.10/1.35 (ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 5.10/1.35 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @
% 5.10/1.35 X16)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl38, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.35 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.35 zip_derived_cl107, zip_derived_cl108, zip_derived_cl109,
% 5.10/1.35 zip_derived_cl110, zip_derived_cl114, zip_derived_cl116,
% 5.10/1.35 zip_derived_cl122, zip_derived_cl128, zip_derived_cl130])).
% 5.10/1.35 thf(zip_derived_cl154, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.35 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 5.10/1.35 X14 : $i, X15 : $i, X16 : $i, X17 : $i]:
% 5.10/1.35 (ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 5.10/1.35 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @
% 5.10/1.35 X15 @ X16 @ X17)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl42, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.35 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.35 zip_derived_cl107, zip_derived_cl108, zip_derived_cl109,
% 5.10/1.35 zip_derived_cl110, zip_derived_cl114, zip_derived_cl116,
% 5.10/1.35 zip_derived_cl122, zip_derived_cl128, zip_derived_cl130,
% 5.10/1.35 zip_derived_cl131])).
% 5.10/1.35 thf(clause45, conjecture,
% 5.10/1.35 (~( ( ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 5.10/1.35 X10 @ X11 @ X12 @ X13 ) |
% 5.10/1.35 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 5.10/1.35 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 5.10/1.35 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 5.10/1.35 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 5.10/1.35 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 5.10/1.35 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 5.10/1.35 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 5.10/1.35 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 5.10/1.35 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 5.10/1.35 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 5.10/1.35 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 5.10/1.35 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 5.10/1.35 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 5.10/1.35 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 5.10/1.35 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 5.10/1.35 ( ~( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 5.10/1.35 X9 @ X10 ) ) |
% 5.10/1.35 ( ~( ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 5.10/1.35 X9 @ X10 @ X11 ) ) |
% 5.10/1.35 ( ~( ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 5.10/1.35 X9 @ X10 @ X11 @ X12 ) ) ))).
% 5.10/1.35 thf(zf_stmt_27, negated_conjecture,
% 5.10/1.35 (( ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 5.10/1.35 X10 @ X11 @ X12 @ X13 ) |
% 5.10/1.35 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 5.10/1.35 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 5.10/1.35 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 5.10/1.35 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 5.10/1.35 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 5.10/1.35 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 5.10/1.35 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 5.10/1.35 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 5.10/1.35 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 5.10/1.35 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 5.10/1.35 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 5.10/1.35 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 5.10/1.35 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 5.10/1.35 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 5.10/1.35 ( ~( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 5.10/1.35 X10 ) ) |
% 5.10/1.35 ( ~( ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 5.10/1.35 X10 @ X11 ) ) |
% 5.10/1.35 ( ~( ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 5.10/1.35 X10 @ X11 @ X12 ) )),
% 5.10/1.35 inference('cnf.neg', [status(esa)], [clause45])).
% 5.10/1.35 thf(zip_derived_cl44, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.35 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 5.10/1.35 X14 : $i, X15 : $i, X16 : $i, X17 : $i, X18 : $i]:
% 5.10/1.35 ( (ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 5.10/1.35 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @
% 5.10/1.35 X15 @ X16 @ X17 @ X18)
% 5.10/1.35 | ~ (ssNder1_0)
% 5.10/1.35 | ~ (ssNder1_1r1 @ X0)
% 5.10/1.35 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 5.10/1.35 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 5.10/1.35 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 5.10/1.35 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 5.10/1.35 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 5.10/1.35 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 5.10/1.35 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 5.10/1.35 X7)
% 5.10/1.35 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 5.10/1.35 X6 @ X7 @ X8)
% 5.10/1.35 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 5.10/1.35 X6 @ X7 @ X8 @ X9)
% 5.10/1.35 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 5.10/1.35 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 5.10/1.35 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 5.10/1.35 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 5.10/1.35 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 5.10/1.35 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 5.10/1.35 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 5.10/1.35 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 5.10/1.35 | ~ (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 5.10/1.35 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 5.10/1.35 | ~ (ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 5.10/1.35 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 5.10/1.35 X14 @ X15)
% 5.10/1.35 | ~ (ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 5.10/1.35 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 5.10/1.35 X14 @ X15 @ X16)
% 5.10/1.35 | ~ (ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 5.10/1.35 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 5.10/1.35 X14 @ X15 @ X16 @ X17))),
% 5.10/1.35 inference('cnf', [status(esa)], [zf_stmt_27])).
% 5.10/1.35 thf(zip_derived_cl0, plain, ( (ssNder1_0)),
% 5.10/1.35 inference('cnf', [status(esa)], [zf_stmt_1])).
% 5.10/1.35 thf(zip_derived_cl92, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 5.10/1.35 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 5.10/1.35 thf(zip_derived_cl93, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl2, zip_derived_cl0, zip_derived_cl92])).
% 5.10/1.35 thf(zip_derived_cl94, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl3, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93])).
% 5.10/1.35 thf(zip_derived_cl96, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 5.10/1.35 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl4, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93, zip_derived_cl94])).
% 5.10/1.35 thf(zip_derived_cl98, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 5.10/1.35 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl7, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96])).
% 5.10/1.35 thf(zip_derived_cl101, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 5.10/1.35 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl10, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.35 zip_derived_cl98])).
% 5.10/1.35 thf(zip_derived_cl105, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 5.10/1.35 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl13, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.35 zip_derived_cl98, zip_derived_cl101])).
% 5.10/1.35 thf(zip_derived_cl107, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 5.10/1.35 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl16, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.35 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105])).
% 5.10/1.35 thf(zip_derived_cl108, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.35 X7 : $i, X8 : $i]:
% 5.10/1.35 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 5.10/1.35 X7 @ X8)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl17, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.35 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.35 zip_derived_cl107])).
% 5.10/1.35 thf(zip_derived_cl109, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.35 X7 : $i, X8 : $i, X9 : $i]:
% 5.10/1.35 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 5.10/1.35 X7 @ X8 @ X9)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl18, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.35 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.35 zip_derived_cl107, zip_derived_cl108])).
% 5.10/1.35 thf(zip_derived_cl110, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.35 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 5.10/1.35 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 5.10/1.35 X6 @ X7 @ X8 @ X9 @ X10)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl19, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.35 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.35 zip_derived_cl107, zip_derived_cl108, zip_derived_cl109])).
% 5.10/1.35 thf(zip_derived_cl114, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.35 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 5.10/1.35 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 5.10/1.35 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl20, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.35 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.35 zip_derived_cl107, zip_derived_cl108, zip_derived_cl109,
% 5.10/1.35 zip_derived_cl110])).
% 5.10/1.35 thf(zip_derived_cl116, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.35 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 5.10/1.35 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 5.10/1.35 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl25, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.35 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.35 zip_derived_cl107, zip_derived_cl108, zip_derived_cl109,
% 5.10/1.35 zip_derived_cl110, zip_derived_cl114])).
% 5.10/1.35 thf(zip_derived_cl122, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.35 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 5.10/1.35 (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 5.10/1.35 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl30, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.35 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.35 zip_derived_cl107, zip_derived_cl108, zip_derived_cl109,
% 5.10/1.35 zip_derived_cl110, zip_derived_cl114, zip_derived_cl116])).
% 5.10/1.35 thf(zip_derived_cl128, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.35 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 5.10/1.35 X14 : $i]:
% 5.10/1.35 (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 5.10/1.35 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl33, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.35 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.35 zip_derived_cl107, zip_derived_cl108, zip_derived_cl109,
% 5.10/1.35 zip_derived_cl110, zip_derived_cl114, zip_derived_cl116,
% 5.10/1.35 zip_derived_cl122])).
% 5.10/1.35 thf(zip_derived_cl130, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.35 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 5.10/1.35 X14 : $i, X15 : $i]:
% 5.10/1.35 (ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 5.10/1.35 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl37, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.35 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.35 zip_derived_cl107, zip_derived_cl108, zip_derived_cl109,
% 5.10/1.35 zip_derived_cl110, zip_derived_cl114, zip_derived_cl116,
% 5.10/1.35 zip_derived_cl122, zip_derived_cl128])).
% 5.10/1.35 thf(zip_derived_cl131, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.35 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 5.10/1.35 X14 : $i, X15 : $i, X16 : $i]:
% 5.10/1.35 (ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 5.10/1.35 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @
% 5.10/1.35 X16)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl38, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.35 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.35 zip_derived_cl107, zip_derived_cl108, zip_derived_cl109,
% 5.10/1.35 zip_derived_cl110, zip_derived_cl114, zip_derived_cl116,
% 5.10/1.35 zip_derived_cl122, zip_derived_cl128, zip_derived_cl130])).
% 5.10/1.35 thf(zip_derived_cl154, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.35 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 5.10/1.35 X14 : $i, X15 : $i, X16 : $i, X17 : $i]:
% 5.10/1.35 (ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 5.10/1.35 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @
% 5.10/1.35 X15 @ X16 @ X17)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl42, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.35 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.35 zip_derived_cl107, zip_derived_cl108, zip_derived_cl109,
% 5.10/1.35 zip_derived_cl110, zip_derived_cl114, zip_derived_cl116,
% 5.10/1.35 zip_derived_cl122, zip_derived_cl128, zip_derived_cl130,
% 5.10/1.35 zip_derived_cl131])).
% 5.10/1.35 thf(zip_derived_cl155, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.35 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 5.10/1.35 X14 : $i, X15 : $i, X16 : $i, X17 : $i, X18 : $i]:
% 5.10/1.35 (ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 5.10/1.35 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @
% 5.10/1.35 X15 @ X16 @ X17 @ X18)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl44, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.35 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.35 zip_derived_cl107, zip_derived_cl108, zip_derived_cl109,
% 5.10/1.35 zip_derived_cl110, zip_derived_cl114, zip_derived_cl116,
% 5.10/1.35 zip_derived_cl122, zip_derived_cl128, zip_derived_cl130,
% 5.10/1.35 zip_derived_cl131, zip_derived_cl154])).
% 5.10/1.35 thf(clause46, conjecture,
% 5.10/1.35 (~( ( ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 5.10/1.35 X10 @ X11 @ X12 @ X13 @ X14 ) |
% 5.10/1.35 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 5.10/1.35 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 5.10/1.35 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 5.10/1.35 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 5.10/1.35 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 5.10/1.35 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 5.10/1.35 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 5.10/1.35 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 5.10/1.35 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 5.10/1.35 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 5.10/1.35 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 5.10/1.35 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 5.10/1.35 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 5.10/1.35 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 5.10/1.35 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 5.10/1.35 ( ~( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 5.10/1.35 X9 @ X10 ) ) |
% 5.10/1.35 ( ~( ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 5.10/1.35 X9 @ X10 @ X11 ) ) |
% 5.10/1.35 ( ~( ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 5.10/1.35 X9 @ X10 @ X11 @ X12 ) ) |
% 5.10/1.35 ( ~( ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 5.10/1.35 X9 @ X10 @ X11 @ X12 @ X13 ) ) ))).
% 5.10/1.35 thf(zf_stmt_28, negated_conjecture,
% 5.10/1.35 (( ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 5.10/1.35 X10 @ X11 @ X12 @ X13 @ X14 ) |
% 5.10/1.35 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 5.10/1.35 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 5.10/1.35 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 5.10/1.35 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 5.10/1.35 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 5.10/1.35 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 5.10/1.35 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 5.10/1.35 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 5.10/1.35 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 5.10/1.35 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 5.10/1.35 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 5.10/1.35 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 5.10/1.35 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 5.10/1.35 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 5.10/1.35 ( ~( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 5.10/1.35 X10 ) ) |
% 5.10/1.35 ( ~( ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 5.10/1.35 X10 @ X11 ) ) |
% 5.10/1.35 ( ~( ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 5.10/1.35 X10 @ X11 @ X12 ) ) |
% 5.10/1.35 ( ~( ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.35 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 5.10/1.35 X10 @ X11 @ X12 @ X13 ) )),
% 5.10/1.35 inference('cnf.neg', [status(esa)], [clause46])).
% 5.10/1.35 thf(zip_derived_cl45, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.35 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 5.10/1.35 X14 : $i, X15 : $i, X16 : $i, X17 : $i, X18 : $i, X19 : $i]:
% 5.10/1.35 ( (ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @
% 5.10/1.35 X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 5.10/1.35 X14 @ X15 @ X16 @ X17 @ X18 @ X19)
% 5.10/1.35 | ~ (ssNder1_0)
% 5.10/1.35 | ~ (ssNder1_1r1 @ X0)
% 5.10/1.35 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 5.10/1.35 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 5.10/1.35 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 5.10/1.35 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 5.10/1.35 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 5.10/1.35 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 5.10/1.35 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 5.10/1.35 X7)
% 5.10/1.35 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 5.10/1.35 X6 @ X7 @ X8)
% 5.10/1.35 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 5.10/1.35 X6 @ X7 @ X8 @ X9)
% 5.10/1.35 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 5.10/1.35 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 5.10/1.35 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 5.10/1.35 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 5.10/1.35 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 5.10/1.35 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 5.10/1.35 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 5.10/1.35 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 5.10/1.35 | ~ (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 5.10/1.35 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 5.10/1.35 | ~ (ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 5.10/1.35 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 5.10/1.35 X14 @ X15)
% 5.10/1.35 | ~ (ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 5.10/1.35 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 5.10/1.35 X14 @ X15 @ X16)
% 5.10/1.35 | ~ (ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 5.10/1.35 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 5.10/1.35 X14 @ X15 @ X16 @ X17)
% 5.10/1.35 | ~ (ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @
% 5.10/1.35 X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 5.10/1.35 X14 @ X15 @ X16 @ X17 @ X18))),
% 5.10/1.35 inference('cnf', [status(esa)], [zf_stmt_28])).
% 5.10/1.35 thf(zip_derived_cl0, plain, ( (ssNder1_0)),
% 5.10/1.35 inference('cnf', [status(esa)], [zf_stmt_1])).
% 5.10/1.35 thf(zip_derived_cl92, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 5.10/1.35 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 5.10/1.35 thf(zip_derived_cl93, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl2, zip_derived_cl0, zip_derived_cl92])).
% 5.10/1.35 thf(zip_derived_cl94, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl3, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93])).
% 5.10/1.35 thf(zip_derived_cl96, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 5.10/1.35 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl4, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93, zip_derived_cl94])).
% 5.10/1.35 thf(zip_derived_cl98, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 5.10/1.35 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl7, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96])).
% 5.10/1.35 thf(zip_derived_cl101, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 5.10/1.35 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 5.10/1.35 inference('demod', [status(thm)],
% 5.10/1.35 [zip_derived_cl10, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.35 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.35 zip_derived_cl98])).
% 5.10/1.35 thf(zip_derived_cl105, plain,
% 5.10/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 5.10/1.35 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 5.10/1.36 inference('demod', [status(thm)],
% 5.10/1.36 [zip_derived_cl13, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.36 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.36 zip_derived_cl98, zip_derived_cl101])).
% 5.10/1.36 thf(zip_derived_cl107, plain,
% 5.10/1.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 5.10/1.36 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 5.10/1.36 inference('demod', [status(thm)],
% 5.10/1.36 [zip_derived_cl16, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.36 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.36 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105])).
% 5.10/1.36 thf(zip_derived_cl108, plain,
% 5.10/1.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.36 X7 : $i, X8 : $i]:
% 5.10/1.36 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 5.10/1.36 X7 @ X8)),
% 5.10/1.36 inference('demod', [status(thm)],
% 5.10/1.36 [zip_derived_cl17, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.36 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.36 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.36 zip_derived_cl107])).
% 5.10/1.36 thf(zip_derived_cl109, plain,
% 5.10/1.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.36 X7 : $i, X8 : $i, X9 : $i]:
% 5.10/1.36 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 5.10/1.36 X7 @ X8 @ X9)),
% 5.10/1.36 inference('demod', [status(thm)],
% 5.10/1.36 [zip_derived_cl18, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.36 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.36 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.36 zip_derived_cl107, zip_derived_cl108])).
% 5.10/1.36 thf(zip_derived_cl110, plain,
% 5.10/1.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.36 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 5.10/1.36 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 5.10/1.36 X6 @ X7 @ X8 @ X9 @ X10)),
% 5.10/1.36 inference('demod', [status(thm)],
% 5.10/1.36 [zip_derived_cl19, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.36 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.36 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.36 zip_derived_cl107, zip_derived_cl108, zip_derived_cl109])).
% 5.10/1.36 thf(zip_derived_cl114, plain,
% 5.10/1.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.36 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 5.10/1.36 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 5.10/1.36 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 5.10/1.36 inference('demod', [status(thm)],
% 5.10/1.36 [zip_derived_cl20, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.36 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.36 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.36 zip_derived_cl107, zip_derived_cl108, zip_derived_cl109,
% 5.10/1.36 zip_derived_cl110])).
% 5.10/1.36 thf(zip_derived_cl116, plain,
% 5.10/1.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.36 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 5.10/1.36 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 5.10/1.36 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 5.10/1.36 inference('demod', [status(thm)],
% 5.10/1.36 [zip_derived_cl25, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.36 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.36 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.36 zip_derived_cl107, zip_derived_cl108, zip_derived_cl109,
% 5.10/1.36 zip_derived_cl110, zip_derived_cl114])).
% 5.10/1.36 thf(zip_derived_cl122, plain,
% 5.10/1.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.36 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 5.10/1.36 (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 5.10/1.36 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)),
% 5.10/1.36 inference('demod', [status(thm)],
% 5.10/1.36 [zip_derived_cl30, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.36 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.36 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.36 zip_derived_cl107, zip_derived_cl108, zip_derived_cl109,
% 5.10/1.36 zip_derived_cl110, zip_derived_cl114, zip_derived_cl116])).
% 5.10/1.36 thf(zip_derived_cl128, plain,
% 5.10/1.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.36 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 5.10/1.36 X14 : $i]:
% 5.10/1.36 (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 5.10/1.36 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)),
% 5.10/1.36 inference('demod', [status(thm)],
% 5.10/1.36 [zip_derived_cl33, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.36 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.36 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.36 zip_derived_cl107, zip_derived_cl108, zip_derived_cl109,
% 5.10/1.36 zip_derived_cl110, zip_derived_cl114, zip_derived_cl116,
% 5.10/1.36 zip_derived_cl122])).
% 5.10/1.36 thf(zip_derived_cl130, plain,
% 5.10/1.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.36 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 5.10/1.36 X14 : $i, X15 : $i]:
% 5.10/1.36 (ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 5.10/1.36 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15)),
% 5.10/1.36 inference('demod', [status(thm)],
% 5.10/1.36 [zip_derived_cl37, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.36 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.36 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.36 zip_derived_cl107, zip_derived_cl108, zip_derived_cl109,
% 5.10/1.36 zip_derived_cl110, zip_derived_cl114, zip_derived_cl116,
% 5.10/1.36 zip_derived_cl122, zip_derived_cl128])).
% 5.10/1.36 thf(zip_derived_cl131, plain,
% 5.10/1.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.36 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 5.10/1.36 X14 : $i, X15 : $i, X16 : $i]:
% 5.10/1.36 (ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 5.10/1.36 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @
% 5.10/1.36 X16)),
% 5.10/1.36 inference('demod', [status(thm)],
% 5.10/1.36 [zip_derived_cl38, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.36 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.36 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.36 zip_derived_cl107, zip_derived_cl108, zip_derived_cl109,
% 5.10/1.36 zip_derived_cl110, zip_derived_cl114, zip_derived_cl116,
% 5.10/1.36 zip_derived_cl122, zip_derived_cl128, zip_derived_cl130])).
% 5.10/1.36 thf(zip_derived_cl154, plain,
% 5.10/1.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.36 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 5.10/1.36 X14 : $i, X15 : $i, X16 : $i, X17 : $i]:
% 5.10/1.36 (ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 5.10/1.36 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @
% 5.10/1.36 X15 @ X16 @ X17)),
% 5.10/1.36 inference('demod', [status(thm)],
% 5.10/1.36 [zip_derived_cl42, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.36 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.36 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.36 zip_derived_cl107, zip_derived_cl108, zip_derived_cl109,
% 5.10/1.36 zip_derived_cl110, zip_derived_cl114, zip_derived_cl116,
% 5.10/1.36 zip_derived_cl122, zip_derived_cl128, zip_derived_cl130,
% 5.10/1.36 zip_derived_cl131])).
% 5.10/1.36 thf(zip_derived_cl155, plain,
% 5.10/1.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.36 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 5.10/1.36 X14 : $i, X15 : $i, X16 : $i, X17 : $i, X18 : $i]:
% 5.10/1.36 (ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 5.10/1.36 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @
% 5.10/1.36 X15 @ X16 @ X17 @ X18)),
% 5.10/1.36 inference('demod', [status(thm)],
% 5.10/1.36 [zip_derived_cl44, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.36 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.36 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.36 zip_derived_cl107, zip_derived_cl108, zip_derived_cl109,
% 5.10/1.36 zip_derived_cl110, zip_derived_cl114, zip_derived_cl116,
% 5.10/1.36 zip_derived_cl122, zip_derived_cl128, zip_derived_cl130,
% 5.10/1.36 zip_derived_cl131, zip_derived_cl154])).
% 5.10/1.36 thf(zip_derived_cl161, plain,
% 5.10/1.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.36 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 5.10/1.36 X14 : $i, X15 : $i, X16 : $i, X17 : $i, X18 : $i, X19 : $i]:
% 5.10/1.36 (ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 5.10/1.36 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @
% 5.10/1.36 X15 @ X16 @ X17 @ X18 @ X19)),
% 5.10/1.36 inference('demod', [status(thm)],
% 5.10/1.36 [zip_derived_cl45, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.36 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.36 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.36 zip_derived_cl107, zip_derived_cl108, zip_derived_cl109,
% 5.10/1.36 zip_derived_cl110, zip_derived_cl114, zip_derived_cl116,
% 5.10/1.36 zip_derived_cl122, zip_derived_cl128, zip_derived_cl130,
% 5.10/1.36 zip_derived_cl131, zip_derived_cl154, zip_derived_cl155])).
% 5.10/1.36 thf(zip_derived_cl178, plain,
% 5.10/1.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.36 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 5.10/1.36 X14 : $i, X15 : $i, X16 : $i, X17 : $i, X18 : $i, X19 : $i, X20 : $i]:
% 5.10/1.36 (ssPv7_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @
% 5.10/1.36 X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 5.10/1.36 X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ skc28)),
% 5.10/1.36 inference('demod', [status(thm)],
% 5.10/1.36 [zip_derived_cl52, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.36 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.36 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.36 zip_derived_cl107, zip_derived_cl108, zip_derived_cl109,
% 5.10/1.36 zip_derived_cl110, zip_derived_cl114, zip_derived_cl116,
% 5.10/1.36 zip_derived_cl122, zip_derived_cl128, zip_derived_cl130,
% 5.10/1.36 zip_derived_cl131, zip_derived_cl154, zip_derived_cl155,
% 5.10/1.36 zip_derived_cl161])).
% 5.10/1.36 thf(clause61, conjecture,
% 5.10/1.36 (~( ( ssPv21_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) |
% 5.10/1.36 ( ssPv20_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) |
% 5.10/1.36 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 5.10/1.36 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 5.10/1.36 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 5.10/1.36 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 5.10/1.36 ( ~( ssPv25_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 5.10/1.36 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 5.10/1.36 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 5.10/1.36 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 5.10/1.36 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 5.10/1.36 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 5.10/1.36 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 5.10/1.36 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 5.10/1.36 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 5.10/1.36 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 5.10/1.36 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 5.10/1.36 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 5.10/1.36 ( ~( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 5.10/1.36 X9 @ X10 ) ) |
% 5.10/1.36 ( ~( ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 5.10/1.36 X9 @ X10 @ X11 ) ) |
% 5.10/1.36 ( ~( ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 5.10/1.36 X9 @ X10 @ X11 @ X12 ) ) |
% 5.10/1.36 ( ~( ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 5.10/1.36 X9 @ X10 @ X11 @ X12 @ X13 ) ) |
% 5.10/1.36 ( ~( ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 5.10/1.36 X9 @ X10 @ X11 @ X12 @ X13 @ X14 ) ) |
% 5.10/1.36 ( ~( ssPv7_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 5.10/1.36 X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 ) ) |
% 5.10/1.36 ( ~( ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 5.10/1.36 X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 ) ) ))).
% 5.10/1.36 thf(zf_stmt_29, negated_conjecture,
% 5.10/1.36 (( ssPv21_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) |
% 5.10/1.36 ( ssPv20_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) |
% 5.10/1.36 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 5.10/1.36 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 5.10/1.36 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 5.10/1.36 ( ~( ssPv25_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 5.10/1.36 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 5.10/1.36 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 5.10/1.36 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 5.10/1.36 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 5.10/1.36 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 5.10/1.36 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 5.10/1.36 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 5.10/1.36 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 5.10/1.36 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 5.10/1.36 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 5.10/1.36 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 5.10/1.36 ( ~( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 5.10/1.36 X10 ) ) |
% 5.10/1.36 ( ~( ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 5.10/1.36 X10 @ X11 ) ) |
% 5.10/1.36 ( ~( ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 5.10/1.36 X10 @ X11 @ X12 ) ) |
% 5.10/1.36 ( ~( ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 5.10/1.36 X10 @ X11 @ X12 @ X13 ) ) |
% 5.10/1.36 ( ~( ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 5.10/1.36 X10 @ X11 @ X12 @ X13 @ X14 ) ) |
% 5.10/1.36 ( ~( ssPv7_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 5.10/1.36 X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 ) ) |
% 5.10/1.36 ( ~( ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 5.10/1.36 X10 @ X11 @ X12 @ X13 @ X14 @ X15 ) )),
% 5.10/1.36 inference('cnf.neg', [status(esa)], [clause61])).
% 5.10/1.36 thf(zip_derived_cl60, plain,
% 5.10/1.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.36 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 5.10/1.36 X14 : $i, X15 : $i, X16 : $i, X17 : $i, X18 : $i, X19 : $i, X20 : $i,
% 5.10/1.36 X21 : $i]:
% 5.10/1.36 ( (ssPv21_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)
% 5.10/1.36 | (ssPv20_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 5.10/1.36 X7 @ X8)
% 5.10/1.36 | ~ (ssNder1_0)
% 5.10/1.36 | ~ (ssNder1_1r1 @ X0)
% 5.10/1.36 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 5.10/1.36 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 5.10/1.36 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 5.10/1.36 | ~ (ssPv25_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 5.10/1.36 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 5.10/1.36 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 5.10/1.36 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 5.10/1.36 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 5.10/1.36 X7)
% 5.10/1.36 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 5.10/1.36 X6 @ X7 @ X8)
% 5.10/1.36 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 5.10/1.36 X6 @ X7 @ X8 @ X9)
% 5.10/1.36 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 5.10/1.36 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 5.10/1.36 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 5.10/1.36 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 5.10/1.36 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 5.10/1.36 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 5.10/1.36 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 5.10/1.36 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 5.10/1.36 | ~ (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 5.10/1.36 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 5.10/1.36 | ~ (ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 5.10/1.36 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 5.10/1.36 X14 @ X15)
% 5.10/1.36 | ~ (ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 5.10/1.36 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 5.10/1.36 X14 @ X15 @ X16)
% 5.10/1.36 | ~ (ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 5.10/1.36 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 5.10/1.36 X14 @ X15 @ X16 @ X17)
% 5.10/1.36 | ~ (ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @
% 5.10/1.36 X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 5.10/1.36 X14 @ X15 @ X16 @ X17 @ X18)
% 5.10/1.36 | ~ (ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @
% 5.10/1.36 X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 5.10/1.36 X14 @ X15 @ X16 @ X17 @ X18 @ X19)
% 5.10/1.36 | ~ (ssPv7_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @
% 5.10/1.36 X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @
% 5.10/1.36 X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21)
% 5.10/1.36 | ~ (ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @
% 5.10/1.36 X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @
% 5.10/1.36 X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20))),
% 5.10/1.36 inference('cnf', [status(esa)], [zf_stmt_29])).
% 5.10/1.36 thf(zip_derived_cl0, plain, ( (ssNder1_0)),
% 5.10/1.36 inference('cnf', [status(esa)], [zf_stmt_1])).
% 5.10/1.36 thf(zip_derived_cl92, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 5.10/1.36 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 5.10/1.36 thf(zip_derived_cl93, plain,
% 5.10/1.36 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 5.10/1.36 inference('demod', [status(thm)],
% 5.10/1.36 [zip_derived_cl2, zip_derived_cl0, zip_derived_cl92])).
% 5.10/1.36 thf(zip_derived_cl94, plain,
% 5.10/1.36 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 5.10/1.36 inference('demod', [status(thm)],
% 5.10/1.36 [zip_derived_cl3, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.36 zip_derived_cl93])).
% 5.10/1.36 thf(zip_derived_cl96, plain,
% 5.10/1.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 5.10/1.36 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 5.10/1.36 inference('demod', [status(thm)],
% 5.10/1.36 [zip_derived_cl4, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.36 zip_derived_cl93, zip_derived_cl94])).
% 5.10/1.36 thf(zip_derived_cl98, plain,
% 5.10/1.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 5.10/1.36 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 5.10/1.36 inference('demod', [status(thm)],
% 5.10/1.36 [zip_derived_cl7, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.36 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96])).
% 5.10/1.36 thf(zip_derived_cl101, plain,
% 5.10/1.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 5.10/1.36 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 5.10/1.36 inference('demod', [status(thm)],
% 5.10/1.36 [zip_derived_cl10, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.36 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.36 zip_derived_cl98])).
% 5.10/1.36 thf(zip_derived_cl105, plain,
% 5.10/1.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 5.10/1.36 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 5.10/1.36 inference('demod', [status(thm)],
% 5.10/1.36 [zip_derived_cl13, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.36 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.36 zip_derived_cl98, zip_derived_cl101])).
% 5.10/1.36 thf(zip_derived_cl107, plain,
% 5.10/1.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 5.10/1.36 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 5.10/1.36 inference('demod', [status(thm)],
% 5.10/1.36 [zip_derived_cl16, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.36 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.36 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105])).
% 5.10/1.36 thf(zip_derived_cl108, plain,
% 5.10/1.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.36 X7 : $i, X8 : $i]:
% 5.10/1.36 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 5.10/1.36 X7 @ X8)),
% 5.10/1.36 inference('demod', [status(thm)],
% 5.10/1.36 [zip_derived_cl17, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.36 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.36 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.36 zip_derived_cl107])).
% 5.10/1.36 thf(zip_derived_cl109, plain,
% 5.10/1.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.36 X7 : $i, X8 : $i, X9 : $i]:
% 5.10/1.36 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 5.10/1.36 X7 @ X8 @ X9)),
% 5.10/1.36 inference('demod', [status(thm)],
% 5.10/1.36 [zip_derived_cl18, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.36 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.36 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.36 zip_derived_cl107, zip_derived_cl108])).
% 5.10/1.36 thf(zip_derived_cl110, plain,
% 5.10/1.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.36 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 5.10/1.36 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 5.10/1.36 X6 @ X7 @ X8 @ X9 @ X10)),
% 5.10/1.36 inference('demod', [status(thm)],
% 5.10/1.36 [zip_derived_cl19, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.36 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.36 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.36 zip_derived_cl107, zip_derived_cl108, zip_derived_cl109])).
% 5.10/1.36 thf(zip_derived_cl114, plain,
% 5.10/1.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.36 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 5.10/1.36 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 5.10/1.36 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 5.10/1.36 inference('demod', [status(thm)],
% 5.10/1.36 [zip_derived_cl20, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.36 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.36 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.36 zip_derived_cl107, zip_derived_cl108, zip_derived_cl109,
% 5.10/1.36 zip_derived_cl110])).
% 5.10/1.36 thf(zip_derived_cl116, plain,
% 5.10/1.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.36 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 5.10/1.36 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 5.10/1.36 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 5.10/1.36 inference('demod', [status(thm)],
% 5.10/1.36 [zip_derived_cl25, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.36 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.36 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.36 zip_derived_cl107, zip_derived_cl108, zip_derived_cl109,
% 5.10/1.36 zip_derived_cl110, zip_derived_cl114])).
% 5.10/1.36 thf(zip_derived_cl122, plain,
% 5.10/1.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.36 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 5.10/1.36 (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 5.10/1.36 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)),
% 5.10/1.36 inference('demod', [status(thm)],
% 5.10/1.36 [zip_derived_cl30, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.36 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.36 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.36 zip_derived_cl107, zip_derived_cl108, zip_derived_cl109,
% 5.10/1.36 zip_derived_cl110, zip_derived_cl114, zip_derived_cl116])).
% 5.10/1.36 thf(zip_derived_cl128, plain,
% 5.10/1.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.36 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 5.10/1.36 X14 : $i]:
% 5.10/1.36 (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 5.10/1.36 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)),
% 5.10/1.36 inference('demod', [status(thm)],
% 5.10/1.36 [zip_derived_cl33, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.36 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.36 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.36 zip_derived_cl107, zip_derived_cl108, zip_derived_cl109,
% 5.10/1.36 zip_derived_cl110, zip_derived_cl114, zip_derived_cl116,
% 5.10/1.36 zip_derived_cl122])).
% 5.10/1.36 thf(zip_derived_cl130, plain,
% 5.10/1.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.36 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 5.10/1.36 X14 : $i, X15 : $i]:
% 5.10/1.36 (ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 5.10/1.36 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15)),
% 5.10/1.36 inference('demod', [status(thm)],
% 5.10/1.36 [zip_derived_cl37, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.36 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.36 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.36 zip_derived_cl107, zip_derived_cl108, zip_derived_cl109,
% 5.10/1.36 zip_derived_cl110, zip_derived_cl114, zip_derived_cl116,
% 5.10/1.36 zip_derived_cl122, zip_derived_cl128])).
% 5.10/1.36 thf(zip_derived_cl131, plain,
% 5.10/1.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.36 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 5.10/1.36 X14 : $i, X15 : $i, X16 : $i]:
% 5.10/1.36 (ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 5.10/1.36 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @
% 5.10/1.36 X16)),
% 5.10/1.36 inference('demod', [status(thm)],
% 5.10/1.36 [zip_derived_cl38, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.36 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.36 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.36 zip_derived_cl107, zip_derived_cl108, zip_derived_cl109,
% 5.10/1.36 zip_derived_cl110, zip_derived_cl114, zip_derived_cl116,
% 5.10/1.36 zip_derived_cl122, zip_derived_cl128, zip_derived_cl130])).
% 5.10/1.36 thf(zip_derived_cl154, plain,
% 5.10/1.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.36 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 5.10/1.36 X14 : $i, X15 : $i, X16 : $i, X17 : $i]:
% 5.10/1.36 (ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 5.10/1.36 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @
% 5.10/1.36 X15 @ X16 @ X17)),
% 5.10/1.36 inference('demod', [status(thm)],
% 5.10/1.36 [zip_derived_cl42, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.36 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.36 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.36 zip_derived_cl107, zip_derived_cl108, zip_derived_cl109,
% 5.10/1.36 zip_derived_cl110, zip_derived_cl114, zip_derived_cl116,
% 5.10/1.36 zip_derived_cl122, zip_derived_cl128, zip_derived_cl130,
% 5.10/1.36 zip_derived_cl131])).
% 5.10/1.36 thf(zip_derived_cl155, plain,
% 5.10/1.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.36 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 5.10/1.36 X14 : $i, X15 : $i, X16 : $i, X17 : $i, X18 : $i]:
% 5.10/1.36 (ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 5.10/1.36 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @
% 5.10/1.36 X15 @ X16 @ X17 @ X18)),
% 5.10/1.36 inference('demod', [status(thm)],
% 5.10/1.36 [zip_derived_cl44, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.36 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.36 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.36 zip_derived_cl107, zip_derived_cl108, zip_derived_cl109,
% 5.10/1.36 zip_derived_cl110, zip_derived_cl114, zip_derived_cl116,
% 5.10/1.36 zip_derived_cl122, zip_derived_cl128, zip_derived_cl130,
% 5.10/1.36 zip_derived_cl131, zip_derived_cl154])).
% 5.10/1.36 thf(zip_derived_cl161, plain,
% 5.10/1.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.36 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 5.10/1.36 X14 : $i, X15 : $i, X16 : $i, X17 : $i, X18 : $i, X19 : $i]:
% 5.10/1.36 (ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 5.10/1.36 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @
% 5.10/1.36 X15 @ X16 @ X17 @ X18 @ X19)),
% 5.10/1.36 inference('demod', [status(thm)],
% 5.10/1.36 [zip_derived_cl45, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.36 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.36 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.36 zip_derived_cl107, zip_derived_cl108, zip_derived_cl109,
% 5.10/1.36 zip_derived_cl110, zip_derived_cl114, zip_derived_cl116,
% 5.10/1.36 zip_derived_cl122, zip_derived_cl128, zip_derived_cl130,
% 5.10/1.36 zip_derived_cl131, zip_derived_cl154, zip_derived_cl155])).
% 5.10/1.36 thf(clause52, conjecture,
% 5.10/1.36 (~( ( ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 5.10/1.36 X10 @ X11 @ X12 @ X13 @ X14 @ X15 ) |
% 5.10/1.36 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 5.10/1.36 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 5.10/1.36 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 5.10/1.36 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 5.10/1.36 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 5.10/1.36 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 5.10/1.36 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 5.10/1.36 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 5.10/1.36 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 5.10/1.36 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 5.10/1.36 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 5.10/1.36 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 5.10/1.36 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 5.10/1.36 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 5.10/1.36 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 5.10/1.36 ( ~( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 5.10/1.36 X9 @ X10 ) ) |
% 5.10/1.36 ( ~( ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 5.10/1.36 X9 @ X10 @ X11 ) ) |
% 5.10/1.36 ( ~( ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 5.10/1.36 X9 @ X10 @ X11 @ X12 ) ) |
% 5.10/1.36 ( ~( ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 5.10/1.36 X9 @ X10 @ X11 @ X12 @ X13 ) ) |
% 5.10/1.36 ( ~( ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 5.10/1.36 X9 @ X10 @ X11 @ X12 @ X13 @ X14 ) ) ))).
% 5.10/1.36 thf(zf_stmt_30, negated_conjecture,
% 5.10/1.36 (( ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 5.10/1.36 X10 @ X11 @ X12 @ X13 @ X14 @ X15 ) |
% 5.10/1.36 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 5.10/1.36 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 5.10/1.36 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 5.10/1.36 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 5.10/1.36 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 5.10/1.36 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 5.10/1.36 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 5.10/1.36 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 5.10/1.36 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 5.10/1.36 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 5.10/1.36 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 5.10/1.36 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 5.10/1.36 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 5.10/1.36 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 5.10/1.36 ( ~( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 5.10/1.36 X10 ) ) |
% 5.10/1.36 ( ~( ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 5.10/1.36 X10 @ X11 ) ) |
% 5.10/1.36 ( ~( ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 5.10/1.36 X10 @ X11 @ X12 ) ) |
% 5.10/1.36 ( ~( ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 5.10/1.36 X10 @ X11 @ X12 @ X13 ) ) |
% 5.10/1.36 ( ~( ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 5.10/1.36 X10 @ X11 @ X12 @ X13 @ X14 ) )),
% 5.10/1.36 inference('cnf.neg', [status(esa)], [clause52])).
% 5.10/1.36 thf(zip_derived_cl51, plain,
% 5.10/1.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.36 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 5.10/1.36 X14 : $i, X15 : $i, X16 : $i, X17 : $i, X18 : $i, X19 : $i, X20 : $i]:
% 5.10/1.36 ( (ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @
% 5.10/1.36 X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 5.10/1.36 X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20)
% 5.10/1.36 | ~ (ssNder1_0)
% 5.10/1.36 | ~ (ssNder1_1r1 @ X0)
% 5.10/1.36 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 5.10/1.36 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 5.10/1.36 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 5.10/1.36 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 5.10/1.36 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 5.10/1.36 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 5.10/1.36 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 5.10/1.36 X7)
% 5.10/1.36 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 5.10/1.36 X6 @ X7 @ X8)
% 5.10/1.36 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 5.10/1.36 X6 @ X7 @ X8 @ X9)
% 5.10/1.36 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 5.10/1.36 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 5.10/1.36 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 5.10/1.36 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 5.10/1.36 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 5.10/1.36 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 5.10/1.36 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 5.10/1.36 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 5.10/1.36 | ~ (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 5.10/1.36 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 5.10/1.36 | ~ (ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 5.10/1.36 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 5.10/1.36 X14 @ X15)
% 5.10/1.36 | ~ (ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 5.10/1.36 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 5.10/1.36 X14 @ X15 @ X16)
% 5.10/1.36 | ~ (ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 5.10/1.36 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 5.10/1.36 X14 @ X15 @ X16 @ X17)
% 5.10/1.36 | ~ (ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @
% 5.10/1.36 X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 5.10/1.36 X14 @ X15 @ X16 @ X17 @ X18)
% 5.10/1.36 | ~ (ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @
% 5.10/1.36 X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 5.10/1.36 X14 @ X15 @ X16 @ X17 @ X18 @ X19))),
% 5.10/1.36 inference('cnf', [status(esa)], [zf_stmt_30])).
% 5.10/1.36 thf(zip_derived_cl0, plain, ( (ssNder1_0)),
% 5.10/1.36 inference('cnf', [status(esa)], [zf_stmt_1])).
% 5.10/1.36 thf(zip_derived_cl92, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 5.10/1.36 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 5.10/1.36 thf(zip_derived_cl93, plain,
% 5.10/1.36 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 5.10/1.36 inference('demod', [status(thm)],
% 5.10/1.36 [zip_derived_cl2, zip_derived_cl0, zip_derived_cl92])).
% 5.10/1.36 thf(zip_derived_cl94, plain,
% 5.10/1.36 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 5.10/1.36 inference('demod', [status(thm)],
% 5.10/1.36 [zip_derived_cl3, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.36 zip_derived_cl93])).
% 5.10/1.36 thf(zip_derived_cl96, plain,
% 5.10/1.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 5.10/1.36 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 5.10/1.36 inference('demod', [status(thm)],
% 5.10/1.36 [zip_derived_cl4, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.36 zip_derived_cl93, zip_derived_cl94])).
% 5.10/1.36 thf(zip_derived_cl98, plain,
% 5.10/1.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 5.10/1.36 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 5.10/1.36 inference('demod', [status(thm)],
% 5.10/1.36 [zip_derived_cl7, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.36 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96])).
% 5.10/1.36 thf(zip_derived_cl101, plain,
% 5.10/1.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 5.10/1.36 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 5.10/1.36 inference('demod', [status(thm)],
% 5.10/1.36 [zip_derived_cl10, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.36 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.36 zip_derived_cl98])).
% 5.10/1.36 thf(zip_derived_cl105, plain,
% 5.10/1.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 5.10/1.36 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 5.10/1.36 inference('demod', [status(thm)],
% 5.10/1.36 [zip_derived_cl13, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.36 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.36 zip_derived_cl98, zip_derived_cl101])).
% 5.10/1.36 thf(zip_derived_cl107, plain,
% 5.10/1.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 5.10/1.36 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 5.10/1.36 inference('demod', [status(thm)],
% 5.10/1.36 [zip_derived_cl16, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.36 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.36 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105])).
% 5.10/1.36 thf(zip_derived_cl108, plain,
% 5.10/1.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.36 X7 : $i, X8 : $i]:
% 5.10/1.36 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 5.10/1.36 X7 @ X8)),
% 5.10/1.36 inference('demod', [status(thm)],
% 5.10/1.36 [zip_derived_cl17, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.36 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.36 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.36 zip_derived_cl107])).
% 5.10/1.36 thf(zip_derived_cl109, plain,
% 5.10/1.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.36 X7 : $i, X8 : $i, X9 : $i]:
% 5.10/1.36 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 5.10/1.36 X7 @ X8 @ X9)),
% 5.10/1.36 inference('demod', [status(thm)],
% 5.10/1.36 [zip_derived_cl18, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.36 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.36 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.36 zip_derived_cl107, zip_derived_cl108])).
% 5.10/1.36 thf(zip_derived_cl110, plain,
% 5.10/1.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.36 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 5.10/1.36 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 5.10/1.36 X6 @ X7 @ X8 @ X9 @ X10)),
% 5.10/1.36 inference('demod', [status(thm)],
% 5.10/1.36 [zip_derived_cl19, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.36 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.36 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.36 zip_derived_cl107, zip_derived_cl108, zip_derived_cl109])).
% 5.10/1.36 thf(zip_derived_cl114, plain,
% 5.10/1.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.36 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 5.10/1.36 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 5.10/1.36 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 5.10/1.36 inference('demod', [status(thm)],
% 5.10/1.36 [zip_derived_cl20, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.36 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.36 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.36 zip_derived_cl107, zip_derived_cl108, zip_derived_cl109,
% 5.10/1.36 zip_derived_cl110])).
% 5.10/1.36 thf(zip_derived_cl116, plain,
% 5.10/1.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.36 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 5.10/1.36 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 5.10/1.36 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 5.10/1.36 inference('demod', [status(thm)],
% 5.10/1.36 [zip_derived_cl25, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.36 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.36 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.36 zip_derived_cl107, zip_derived_cl108, zip_derived_cl109,
% 5.10/1.36 zip_derived_cl110, zip_derived_cl114])).
% 5.10/1.36 thf(zip_derived_cl122, plain,
% 5.10/1.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.36 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 5.10/1.36 (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 5.10/1.36 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)),
% 5.10/1.36 inference('demod', [status(thm)],
% 5.10/1.36 [zip_derived_cl30, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.36 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.36 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.36 zip_derived_cl107, zip_derived_cl108, zip_derived_cl109,
% 5.10/1.36 zip_derived_cl110, zip_derived_cl114, zip_derived_cl116])).
% 5.10/1.36 thf(zip_derived_cl128, plain,
% 5.10/1.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.36 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 5.10/1.36 X14 : $i]:
% 5.10/1.36 (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 5.10/1.36 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)),
% 5.10/1.36 inference('demod', [status(thm)],
% 5.10/1.36 [zip_derived_cl33, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.36 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.36 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.36 zip_derived_cl107, zip_derived_cl108, zip_derived_cl109,
% 5.10/1.36 zip_derived_cl110, zip_derived_cl114, zip_derived_cl116,
% 5.10/1.36 zip_derived_cl122])).
% 5.10/1.36 thf(zip_derived_cl130, plain,
% 5.10/1.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.36 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 5.10/1.36 X14 : $i, X15 : $i]:
% 5.10/1.36 (ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 5.10/1.36 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15)),
% 5.10/1.36 inference('demod', [status(thm)],
% 5.10/1.36 [zip_derived_cl37, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.36 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.36 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.36 zip_derived_cl107, zip_derived_cl108, zip_derived_cl109,
% 5.10/1.36 zip_derived_cl110, zip_derived_cl114, zip_derived_cl116,
% 5.10/1.36 zip_derived_cl122, zip_derived_cl128])).
% 5.10/1.36 thf(zip_derived_cl131, plain,
% 5.10/1.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.36 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 5.10/1.36 X14 : $i, X15 : $i, X16 : $i]:
% 5.10/1.36 (ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 5.10/1.36 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @
% 5.10/1.36 X16)),
% 5.10/1.36 inference('demod', [status(thm)],
% 5.10/1.36 [zip_derived_cl38, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.36 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.36 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.36 zip_derived_cl107, zip_derived_cl108, zip_derived_cl109,
% 5.10/1.36 zip_derived_cl110, zip_derived_cl114, zip_derived_cl116,
% 5.10/1.36 zip_derived_cl122, zip_derived_cl128, zip_derived_cl130])).
% 5.10/1.36 thf(zip_derived_cl154, plain,
% 5.10/1.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.36 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 5.10/1.36 X14 : $i, X15 : $i, X16 : $i, X17 : $i]:
% 5.10/1.36 (ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 5.10/1.36 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @
% 5.10/1.36 X15 @ X16 @ X17)),
% 5.10/1.36 inference('demod', [status(thm)],
% 5.10/1.36 [zip_derived_cl42, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.36 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.36 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.36 zip_derived_cl107, zip_derived_cl108, zip_derived_cl109,
% 5.10/1.36 zip_derived_cl110, zip_derived_cl114, zip_derived_cl116,
% 5.10/1.36 zip_derived_cl122, zip_derived_cl128, zip_derived_cl130,
% 5.10/1.36 zip_derived_cl131])).
% 5.10/1.36 thf(zip_derived_cl155, plain,
% 5.10/1.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.36 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 5.10/1.36 X14 : $i, X15 : $i, X16 : $i, X17 : $i, X18 : $i]:
% 5.10/1.36 (ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 5.10/1.36 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @
% 5.10/1.36 X15 @ X16 @ X17 @ X18)),
% 5.10/1.36 inference('demod', [status(thm)],
% 5.10/1.36 [zip_derived_cl44, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.36 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.36 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.36 zip_derived_cl107, zip_derived_cl108, zip_derived_cl109,
% 5.10/1.36 zip_derived_cl110, zip_derived_cl114, zip_derived_cl116,
% 5.10/1.36 zip_derived_cl122, zip_derived_cl128, zip_derived_cl130,
% 5.10/1.36 zip_derived_cl131, zip_derived_cl154])).
% 5.10/1.36 thf(zip_derived_cl161, plain,
% 5.10/1.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.36 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 5.10/1.36 X14 : $i, X15 : $i, X16 : $i, X17 : $i, X18 : $i, X19 : $i]:
% 5.10/1.36 (ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 5.10/1.36 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @
% 5.10/1.36 X15 @ X16 @ X17 @ X18 @ X19)),
% 5.10/1.36 inference('demod', [status(thm)],
% 5.10/1.36 [zip_derived_cl45, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.36 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.36 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.36 zip_derived_cl107, zip_derived_cl108, zip_derived_cl109,
% 5.10/1.36 zip_derived_cl110, zip_derived_cl114, zip_derived_cl116,
% 5.10/1.36 zip_derived_cl122, zip_derived_cl128, zip_derived_cl130,
% 5.10/1.36 zip_derived_cl131, zip_derived_cl154, zip_derived_cl155])).
% 5.10/1.36 thf(zip_derived_cl177, plain,
% 5.10/1.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.36 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 5.10/1.36 X14 : $i, X15 : $i, X16 : $i, X17 : $i, X18 : $i, X19 : $i, X20 : $i]:
% 5.10/1.36 (ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @
% 5.10/1.36 X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 5.10/1.36 X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20)),
% 5.10/1.36 inference('demod', [status(thm)],
% 5.10/1.36 [zip_derived_cl51, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.36 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.36 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.36 zip_derived_cl107, zip_derived_cl108, zip_derived_cl109,
% 5.10/1.36 zip_derived_cl110, zip_derived_cl114, zip_derived_cl116,
% 5.10/1.36 zip_derived_cl122, zip_derived_cl128, zip_derived_cl130,
% 5.10/1.36 zip_derived_cl131, zip_derived_cl154, zip_derived_cl155,
% 5.10/1.36 zip_derived_cl161])).
% 5.10/1.36 thf(zip_derived_cl184, plain,
% 5.10/1.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.36 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 5.10/1.36 X14 : $i, X15 : $i, X16 : $i, X17 : $i, X18 : $i, X19 : $i, X20 : $i,
% 5.10/1.36 X21 : $i]:
% 5.10/1.36 ( (ssPv21_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)
% 5.10/1.36 | (ssPv20_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 5.10/1.36 X7 @ X8)
% 5.10/1.36 | ~ (ssPv25_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 5.10/1.36 | ~ (ssPv7_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @
% 5.10/1.36 X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @
% 5.10/1.36 X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21))),
% 5.10/1.36 inference('demod', [status(thm)],
% 5.10/1.36 [zip_derived_cl60, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.36 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.36 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.36 zip_derived_cl107, zip_derived_cl108, zip_derived_cl109,
% 5.10/1.36 zip_derived_cl110, zip_derived_cl114, zip_derived_cl116,
% 5.10/1.36 zip_derived_cl122, zip_derived_cl128, zip_derived_cl130,
% 5.10/1.36 zip_derived_cl131, zip_derived_cl154, zip_derived_cl155,
% 5.10/1.36 zip_derived_cl161, zip_derived_cl177])).
% 5.10/1.36 thf(zip_derived_cl185, plain,
% 5.10/1.36 (![X12 : $i, X13 : $i, X14 : $i, X15 : $i, X16 : $i, X17 : $i, X18 : $i,
% 5.10/1.36 X19 : $i, X20 : $i]:
% 5.10/1.36 (~ (ssPv25_4r1r1r1r1 @ X20 @ X19 @ X18 @ X17)
% 5.10/1.36 | (ssPv20_9r1r1r1r1r1r1r1r1r1 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @
% 5.10/1.36 X14 @ X13 @ X12)
% 5.10/1.36 | (ssPv21_8r1r1r1r1r1r1r1r1 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @
% 5.10/1.36 X14 @ X13))),
% 5.10/1.36 inference('sup-', [status(thm)], [zip_derived_cl178, zip_derived_cl184])).
% 5.10/1.36 thf(zip_derived_cl187, plain,
% 5.10/1.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.36 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 5.10/1.36 X14 : $i, X15 : $i, X16 : $i, X17 : $i]:
% 5.10/1.36 ( (ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X3 @ X2 @ X1 @ X17 @ X16 @
% 5.10/1.36 X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9)
% 5.10/1.36 | (ssPv21_8r1r1r1r1r1r1r1r1 @ X3 @ X2 @ X1 @ X0 @ X7 @ X6 @ X5 @ X4)
% 5.10/1.36 | (ssPv20_9r1r1r1r1r1r1r1r1r1 @ X3 @ X2 @ X1 @ X0 @ X7 @ X6 @ X5 @
% 5.10/1.36 X4 @ X8))),
% 5.10/1.36 inference('sup-', [status(thm)], [zip_derived_cl143, zip_derived_cl185])).
% 5.10/1.36 thf(clause16, conjecture,
% 5.10/1.36 (~( ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 5.10/1.36 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 5.10/1.36 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 5.10/1.36 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 5.10/1.36 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 5.10/1.36 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 5.10/1.36 ( ~( ssPv21_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ skc41 ) ) ))).
% 5.10/1.36 thf(zf_stmt_31, negated_conjecture,
% 5.10/1.36 (( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 5.10/1.36 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 5.10/1.36 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 5.10/1.36 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 5.10/1.36 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 5.10/1.36 ( ~( ssPv21_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ skc41 ) )),
% 5.10/1.36 inference('cnf.neg', [status(esa)], [clause16])).
% 5.10/1.36 thf(zip_derived_cl15, plain,
% 5.10/1.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 5.10/1.36 (~ (ssNder1_0)
% 5.10/1.36 | ~ (ssNder1_1r1 @ X0)
% 5.10/1.36 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 5.10/1.36 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 5.10/1.36 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 5.10/1.36 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 5.10/1.36 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 5.10/1.36 | ~ (ssPv21_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 5.10/1.36 skc41))),
% 5.10/1.36 inference('cnf', [status(esa)], [zf_stmt_31])).
% 5.10/1.36 thf(zip_derived_cl0, plain, ( (ssNder1_0)),
% 5.10/1.36 inference('cnf', [status(esa)], [zf_stmt_1])).
% 5.10/1.36 thf(zip_derived_cl92, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 5.10/1.36 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 5.10/1.36 thf(zip_derived_cl93, plain,
% 5.10/1.36 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 5.10/1.36 inference('demod', [status(thm)],
% 5.10/1.36 [zip_derived_cl2, zip_derived_cl0, zip_derived_cl92])).
% 5.10/1.36 thf(zip_derived_cl94, plain,
% 5.10/1.36 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 5.10/1.36 inference('demod', [status(thm)],
% 5.10/1.36 [zip_derived_cl3, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.36 zip_derived_cl93])).
% 5.10/1.36 thf(zip_derived_cl96, plain,
% 5.10/1.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 5.10/1.36 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 5.10/1.36 inference('demod', [status(thm)],
% 5.10/1.36 [zip_derived_cl4, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.36 zip_derived_cl93, zip_derived_cl94])).
% 5.10/1.36 thf(zip_derived_cl98, plain,
% 5.10/1.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 5.10/1.36 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 5.10/1.36 inference('demod', [status(thm)],
% 5.10/1.36 [zip_derived_cl7, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.36 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96])).
% 5.10/1.36 thf(zip_derived_cl101, plain,
% 5.10/1.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 5.10/1.36 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 5.10/1.36 inference('demod', [status(thm)],
% 5.10/1.36 [zip_derived_cl10, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.36 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.36 zip_derived_cl98])).
% 5.10/1.36 thf(zip_derived_cl104, plain,
% 5.10/1.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 5.10/1.36 ~ (ssPv21_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ skc41)),
% 5.10/1.36 inference('demod', [status(thm)],
% 5.10/1.36 [zip_derived_cl15, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.36 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.36 zip_derived_cl98, zip_derived_cl101])).
% 5.10/1.36 thf(zip_derived_cl199, plain,
% 5.10/1.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.36 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 5.10/1.36 X14 : $i, X15 : $i, X16 : $i]:
% 5.10/1.36 ( (ssPv20_9r1r1r1r1r1r1r1r1r1 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @
% 5.10/1.36 skc41 @ X7)
% 5.10/1.36 | (ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X6 @ X5 @ X4 @ X16 @ X15 @
% 5.10/1.36 X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8))),
% 5.10/1.36 inference('sup-', [status(thm)], [zip_derived_cl187, zip_derived_cl104])).
% 5.10/1.36 thf(zip_derived_cl123, plain,
% 5.10/1.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.36 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 5.10/1.36 (ssPv14_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 5.10/1.36 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ skc34)),
% 5.10/1.36 inference('demod', [status(thm)],
% 5.10/1.36 [zip_derived_cl31, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.36 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.36 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.36 zip_derived_cl107, zip_derived_cl108, zip_derived_cl109,
% 5.10/1.36 zip_derived_cl110, zip_derived_cl114, zip_derived_cl116])).
% 5.10/1.36 thf(zip_derived_cl178, plain,
% 5.10/1.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.36 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 5.10/1.36 X14 : $i, X15 : $i, X16 : $i, X17 : $i, X18 : $i, X19 : $i, X20 : $i]:
% 5.10/1.36 (ssPv7_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @
% 5.10/1.36 X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 5.10/1.36 X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ skc28)),
% 5.10/1.36 inference('demod', [status(thm)],
% 5.10/1.36 [zip_derived_cl52, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.36 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.36 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.36 zip_derived_cl107, zip_derived_cl108, zip_derived_cl109,
% 5.10/1.36 zip_derived_cl110, zip_derived_cl114, zip_derived_cl116,
% 5.10/1.36 zip_derived_cl122, zip_derived_cl128, zip_derived_cl130,
% 5.10/1.36 zip_derived_cl131, zip_derived_cl154, zip_derived_cl155,
% 5.10/1.36 zip_derived_cl161])).
% 5.10/1.36 thf(clause63, conjecture,
% 5.10/1.36 (~( ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 5.10/1.36 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 5.10/1.36 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 5.10/1.36 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 5.10/1.36 ( ~( ssPv25_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 5.10/1.36 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 5.10/1.36 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 5.10/1.36 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 5.10/1.36 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 5.10/1.36 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 5.10/1.36 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 5.10/1.36 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 5.10/1.36 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 5.10/1.36 ( ~( ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 5.10/1.36 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 5.10/1.36 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 5.10/1.36 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 5.10/1.36 ( ~( ssPv14_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 5.10/1.36 ( ~( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 5.10/1.36 X9 @ X10 ) ) |
% 5.10/1.36 ( ~( ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 5.10/1.36 X9 @ X10 @ X11 ) ) |
% 5.10/1.36 ( ~( ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 5.10/1.36 X9 @ X10 @ X11 @ X12 ) ) |
% 5.10/1.36 ( ~( ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 5.10/1.36 X9 @ X10 @ X11 @ X12 @ X13 ) ) |
% 5.10/1.36 ( ~( ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 5.10/1.36 X9 @ X10 @ X11 @ X12 @ X13 @ X14 ) ) |
% 5.10/1.36 ( ~( ssPv7_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 5.10/1.36 X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 ) ) |
% 5.10/1.36 ( ~( ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 5.10/1.36 X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 ) ) ))).
% 5.10/1.36 thf(zf_stmt_32, negated_conjecture,
% 5.10/1.36 (( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 5.10/1.36 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 5.10/1.36 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 5.10/1.36 ( ~( ssPv25_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 5.10/1.36 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 5.10/1.36 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 5.10/1.36 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 5.10/1.36 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 5.10/1.36 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 5.10/1.36 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 5.10/1.36 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 5.10/1.36 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 5.10/1.36 ( ~( ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 5.10/1.36 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 5.10/1.36 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 5.10/1.36 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 5.10/1.36 ( ~( ssPv14_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 5.10/1.36 ( ~( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 5.10/1.36 X10 ) ) |
% 5.10/1.36 ( ~( ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 5.10/1.36 X10 @ X11 ) ) |
% 5.10/1.36 ( ~( ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 5.10/1.36 X10 @ X11 @ X12 ) ) |
% 5.10/1.36 ( ~( ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 5.10/1.36 X10 @ X11 @ X12 @ X13 ) ) |
% 5.10/1.36 ( ~( ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 5.10/1.36 X10 @ X11 @ X12 @ X13 @ X14 ) ) |
% 5.10/1.36 ( ~( ssPv7_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 5.10/1.36 X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 ) ) |
% 5.10/1.36 ( ~( ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 5.10/1.36 X10 @ X11 @ X12 @ X13 @ X14 @ X15 ) )),
% 5.10/1.36 inference('cnf.neg', [status(esa)], [clause63])).
% 5.10/1.36 thf(zip_derived_cl62, plain,
% 5.10/1.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.36 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 5.10/1.36 X14 : $i, X15 : $i, X16 : $i, X17 : $i, X18 : $i, X19 : $i, X20 : $i,
% 5.10/1.36 X21 : $i]:
% 5.10/1.36 (~ (ssNder1_0)
% 5.10/1.36 | ~ (ssNder1_1r1 @ X0)
% 5.10/1.36 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 5.10/1.36 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 5.10/1.36 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 5.10/1.36 | ~ (ssPv25_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 5.10/1.36 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 5.10/1.36 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 5.10/1.36 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 5.10/1.36 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 5.10/1.36 X7)
% 5.10/1.36 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 5.10/1.36 X6 @ X7 @ X8)
% 5.10/1.36 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 5.10/1.36 X6 @ X7 @ X8 @ X9)
% 5.10/1.36 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 5.10/1.36 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 5.10/1.36 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 5.10/1.36 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 5.10/1.36 | ~ (ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 5.10/1.36 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 5.10/1.36 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 5.10/1.36 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 5.10/1.36 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 5.10/1.36 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 5.10/1.36 | ~ (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 5.10/1.36 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 5.10/1.36 | ~ (ssPv14_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 5.10/1.36 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 5.10/1.36 | ~ (ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 5.10/1.36 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 5.10/1.36 X14 @ X15)
% 5.10/1.36 | ~ (ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 5.10/1.36 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 5.10/1.36 X14 @ X15 @ X16)
% 5.10/1.36 | ~ (ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 5.10/1.36 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 5.10/1.36 X14 @ X15 @ X16 @ X17)
% 5.10/1.36 | ~ (ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @
% 5.10/1.36 X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 5.10/1.36 X14 @ X15 @ X16 @ X17 @ X18)
% 5.10/1.36 | ~ (ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @
% 5.10/1.36 X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 5.10/1.36 X14 @ X15 @ X16 @ X17 @ X18 @ X19)
% 5.10/1.36 | ~ (ssPv7_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @
% 5.10/1.36 X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @
% 5.10/1.36 X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21)
% 5.10/1.36 | ~ (ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @
% 5.10/1.36 X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @
% 5.10/1.36 X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20))),
% 5.10/1.36 inference('cnf', [status(esa)], [zf_stmt_32])).
% 5.10/1.36 thf(zip_derived_cl0, plain, ( (ssNder1_0)),
% 5.10/1.36 inference('cnf', [status(esa)], [zf_stmt_1])).
% 5.10/1.36 thf(zip_derived_cl92, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 5.10/1.36 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 5.10/1.36 thf(zip_derived_cl93, plain,
% 5.10/1.36 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 5.10/1.36 inference('demod', [status(thm)],
% 5.10/1.36 [zip_derived_cl2, zip_derived_cl0, zip_derived_cl92])).
% 5.10/1.36 thf(zip_derived_cl94, plain,
% 5.10/1.36 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 5.10/1.36 inference('demod', [status(thm)],
% 5.10/1.36 [zip_derived_cl3, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.36 zip_derived_cl93])).
% 5.10/1.36 thf(zip_derived_cl96, plain,
% 5.10/1.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 5.10/1.36 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 5.10/1.36 inference('demod', [status(thm)],
% 5.10/1.36 [zip_derived_cl4, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.36 zip_derived_cl93, zip_derived_cl94])).
% 5.10/1.36 thf(zip_derived_cl98, plain,
% 5.10/1.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 5.10/1.36 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 5.10/1.36 inference('demod', [status(thm)],
% 5.10/1.36 [zip_derived_cl7, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.36 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96])).
% 5.10/1.36 thf(zip_derived_cl101, plain,
% 5.10/1.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 5.10/1.36 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 5.10/1.36 inference('demod', [status(thm)],
% 5.10/1.36 [zip_derived_cl10, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.36 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.36 zip_derived_cl98])).
% 5.10/1.36 thf(zip_derived_cl105, plain,
% 5.10/1.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 5.10/1.36 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 5.10/1.36 inference('demod', [status(thm)],
% 5.10/1.36 [zip_derived_cl13, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.36 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.36 zip_derived_cl98, zip_derived_cl101])).
% 5.10/1.36 thf(zip_derived_cl107, plain,
% 5.10/1.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 5.10/1.36 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 5.10/1.36 inference('demod', [status(thm)],
% 5.10/1.36 [zip_derived_cl16, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.36 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.36 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105])).
% 5.10/1.36 thf(zip_derived_cl108, plain,
% 5.10/1.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.36 X7 : $i, X8 : $i]:
% 5.10/1.36 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 5.10/1.36 X7 @ X8)),
% 5.10/1.36 inference('demod', [status(thm)],
% 5.10/1.36 [zip_derived_cl17, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.36 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.36 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.36 zip_derived_cl107])).
% 5.10/1.36 thf(zip_derived_cl109, plain,
% 5.10/1.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.36 X7 : $i, X8 : $i, X9 : $i]:
% 5.10/1.36 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 5.10/1.36 X7 @ X8 @ X9)),
% 5.10/1.36 inference('demod', [status(thm)],
% 5.10/1.36 [zip_derived_cl18, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.36 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.36 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.36 zip_derived_cl107, zip_derived_cl108])).
% 5.10/1.36 thf(zip_derived_cl110, plain,
% 5.10/1.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.36 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 5.10/1.36 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 5.10/1.36 X6 @ X7 @ X8 @ X9 @ X10)),
% 5.10/1.36 inference('demod', [status(thm)],
% 5.10/1.36 [zip_derived_cl19, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.36 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.36 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.36 zip_derived_cl107, zip_derived_cl108, zip_derived_cl109])).
% 5.10/1.36 thf(zip_derived_cl114, plain,
% 5.10/1.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.36 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 5.10/1.36 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 5.10/1.36 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 5.10/1.36 inference('demod', [status(thm)],
% 5.10/1.36 [zip_derived_cl20, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.36 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.36 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.36 zip_derived_cl107, zip_derived_cl108, zip_derived_cl109,
% 5.10/1.36 zip_derived_cl110])).
% 5.10/1.36 thf(zip_derived_cl116, plain,
% 5.10/1.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.36 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 5.10/1.36 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 5.10/1.36 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 5.10/1.36 inference('demod', [status(thm)],
% 5.10/1.36 [zip_derived_cl25, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.36 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.36 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.36 zip_derived_cl107, zip_derived_cl108, zip_derived_cl109,
% 5.10/1.36 zip_derived_cl110, zip_derived_cl114])).
% 5.10/1.36 thf(zip_derived_cl122, plain,
% 5.10/1.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.36 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 5.10/1.36 (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 5.10/1.36 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)),
% 5.10/1.36 inference('demod', [status(thm)],
% 5.10/1.36 [zip_derived_cl30, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.36 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.36 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.36 zip_derived_cl107, zip_derived_cl108, zip_derived_cl109,
% 5.10/1.36 zip_derived_cl110, zip_derived_cl114, zip_derived_cl116])).
% 5.10/1.36 thf(zip_derived_cl128, plain,
% 5.10/1.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.36 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 5.10/1.36 X14 : $i]:
% 5.10/1.36 (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 5.10/1.36 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)),
% 5.10/1.36 inference('demod', [status(thm)],
% 5.10/1.36 [zip_derived_cl33, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.36 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.36 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.36 zip_derived_cl107, zip_derived_cl108, zip_derived_cl109,
% 5.10/1.36 zip_derived_cl110, zip_derived_cl114, zip_derived_cl116,
% 5.10/1.36 zip_derived_cl122])).
% 5.10/1.36 thf(zip_derived_cl130, plain,
% 5.10/1.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.36 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 5.10/1.36 X14 : $i, X15 : $i]:
% 5.10/1.36 (ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 5.10/1.36 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15)),
% 5.10/1.36 inference('demod', [status(thm)],
% 5.10/1.36 [zip_derived_cl37, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.36 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.36 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.36 zip_derived_cl107, zip_derived_cl108, zip_derived_cl109,
% 5.10/1.36 zip_derived_cl110, zip_derived_cl114, zip_derived_cl116,
% 5.10/1.36 zip_derived_cl122, zip_derived_cl128])).
% 5.10/1.36 thf(zip_derived_cl131, plain,
% 5.10/1.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.36 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 5.10/1.36 X14 : $i, X15 : $i, X16 : $i]:
% 5.10/1.36 (ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 5.10/1.36 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @
% 5.10/1.36 X16)),
% 5.10/1.36 inference('demod', [status(thm)],
% 5.10/1.36 [zip_derived_cl38, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.36 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.36 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.36 zip_derived_cl107, zip_derived_cl108, zip_derived_cl109,
% 5.10/1.36 zip_derived_cl110, zip_derived_cl114, zip_derived_cl116,
% 5.10/1.36 zip_derived_cl122, zip_derived_cl128, zip_derived_cl130])).
% 5.10/1.36 thf(zip_derived_cl154, plain,
% 5.10/1.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.36 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 5.10/1.36 X14 : $i, X15 : $i, X16 : $i, X17 : $i]:
% 5.10/1.36 (ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 5.10/1.36 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @
% 5.10/1.36 X15 @ X16 @ X17)),
% 5.10/1.36 inference('demod', [status(thm)],
% 5.10/1.36 [zip_derived_cl42, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.36 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.36 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.36 zip_derived_cl107, zip_derived_cl108, zip_derived_cl109,
% 5.10/1.36 zip_derived_cl110, zip_derived_cl114, zip_derived_cl116,
% 5.10/1.36 zip_derived_cl122, zip_derived_cl128, zip_derived_cl130,
% 5.10/1.36 zip_derived_cl131])).
% 5.10/1.36 thf(zip_derived_cl155, plain,
% 5.10/1.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.36 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 5.10/1.36 X14 : $i, X15 : $i, X16 : $i, X17 : $i, X18 : $i]:
% 5.10/1.36 (ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 5.10/1.36 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @
% 5.10/1.36 X15 @ X16 @ X17 @ X18)),
% 5.10/1.36 inference('demod', [status(thm)],
% 5.10/1.36 [zip_derived_cl44, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.36 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.36 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.36 zip_derived_cl107, zip_derived_cl108, zip_derived_cl109,
% 5.10/1.36 zip_derived_cl110, zip_derived_cl114, zip_derived_cl116,
% 5.10/1.36 zip_derived_cl122, zip_derived_cl128, zip_derived_cl130,
% 5.10/1.36 zip_derived_cl131, zip_derived_cl154])).
% 5.10/1.36 thf(zip_derived_cl161, plain,
% 5.10/1.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.36 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 5.10/1.36 X14 : $i, X15 : $i, X16 : $i, X17 : $i, X18 : $i, X19 : $i]:
% 5.10/1.36 (ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 5.10/1.36 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @
% 5.10/1.36 X15 @ X16 @ X17 @ X18 @ X19)),
% 5.10/1.36 inference('demod', [status(thm)],
% 5.10/1.36 [zip_derived_cl45, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.36 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.36 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.36 zip_derived_cl107, zip_derived_cl108, zip_derived_cl109,
% 5.10/1.36 zip_derived_cl110, zip_derived_cl114, zip_derived_cl116,
% 5.10/1.36 zip_derived_cl122, zip_derived_cl128, zip_derived_cl130,
% 5.10/1.36 zip_derived_cl131, zip_derived_cl154, zip_derived_cl155])).
% 5.10/1.36 thf(zip_derived_cl177, plain,
% 5.10/1.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.36 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 5.10/1.36 X14 : $i, X15 : $i, X16 : $i, X17 : $i, X18 : $i, X19 : $i, X20 : $i]:
% 5.10/1.36 (ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @
% 5.10/1.36 X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 5.10/1.36 X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20)),
% 5.10/1.36 inference('demod', [status(thm)],
% 5.10/1.36 [zip_derived_cl51, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.36 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.36 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.36 zip_derived_cl107, zip_derived_cl108, zip_derived_cl109,
% 5.10/1.36 zip_derived_cl110, zip_derived_cl114, zip_derived_cl116,
% 5.10/1.36 zip_derived_cl122, zip_derived_cl128, zip_derived_cl130,
% 5.10/1.36 zip_derived_cl131, zip_derived_cl154, zip_derived_cl155,
% 5.10/1.36 zip_derived_cl161])).
% 5.10/1.36 thf(zip_derived_cl213, plain,
% 5.10/1.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.36 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 5.10/1.36 X14 : $i, X15 : $i, X16 : $i, X17 : $i, X18 : $i, X19 : $i, X20 : $i,
% 5.10/1.36 X21 : $i]:
% 5.10/1.36 (~ (ssPv25_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 5.10/1.36 | ~ (ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 5.10/1.36 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 5.10/1.36 | ~ (ssPv14_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 5.10/1.36 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 5.10/1.36 | ~ (ssPv7_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @
% 5.10/1.36 X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @
% 5.10/1.36 X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21))),
% 5.10/1.36 inference('demod', [status(thm)],
% 5.10/1.36 [zip_derived_cl62, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.36 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.36 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.36 zip_derived_cl107, zip_derived_cl108, zip_derived_cl109,
% 5.10/1.36 zip_derived_cl110, zip_derived_cl114, zip_derived_cl116,
% 5.10/1.36 zip_derived_cl122, zip_derived_cl128, zip_derived_cl130,
% 5.10/1.36 zip_derived_cl131, zip_derived_cl154, zip_derived_cl155,
% 5.10/1.36 zip_derived_cl161, zip_derived_cl177])).
% 5.10/1.36 thf(zip_derived_cl214, plain,
% 5.10/1.36 (![X6 : $i, X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i,
% 5.10/1.36 X13 : $i, X14 : $i, X15 : $i, X16 : $i, X17 : $i, X18 : $i, X19 : $i,
% 5.10/1.36 X20 : $i]:
% 5.10/1.36 (~ (ssPv14_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X20 @ X19 @ X18 @ X17 @
% 5.10/1.36 X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6)
% 5.10/1.36 | ~ (ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X20 @ X19 @ X18 @ X17 @
% 5.10/1.36 X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9)
% 5.10/1.36 | ~ (ssPv25_4r1r1r1r1 @ X20 @ X19 @ X18 @ X17))),
% 5.10/1.36 inference('sup-', [status(thm)], [zip_derived_cl178, zip_derived_cl213])).
% 5.10/1.36 thf(zip_derived_cl215, plain,
% 5.10/1.36 (![X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i, X8 : $i,
% 5.10/1.36 X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 5.10/1.36 (~ (ssPv25_4r1r1r1r1 @ X13 @ X12 @ X11 @ X10)
% 5.10/1.36 | ~ (ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X13 @ X12 @ X11 @ X10 @
% 5.10/1.36 X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2))),
% 5.10/1.36 inference('sup-', [status(thm)], [zip_derived_cl123, zip_derived_cl214])).
% 5.10/1.36 thf(zip_derived_cl218, plain,
% 5.10/1.36 (![X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i, X14 : $i,
% 5.10/1.36 X15 : $i, X16 : $i]:
% 5.10/1.36 ( (ssPv20_9r1r1r1r1r1r1r1r1r1 @ X11 @ X10 @ X9 @ X16 @ X15 @ X14 @
% 5.10/1.36 X13 @ skc41 @ X12)
% 5.10/1.36 | ~ (ssPv25_4r1r1r1r1 @ X11 @ X10 @ X9 @ X8))),
% 5.10/1.36 inference('sup-', [status(thm)], [zip_derived_cl199, zip_derived_cl215])).
% 5.10/1.36 thf(zip_derived_cl103, plain,
% 5.10/1.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 5.10/1.36 (ssPv22_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ skc42)),
% 5.10/1.36 inference('demod', [status(thm)],
% 5.10/1.36 [zip_derived_cl11, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.36 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.36 zip_derived_cl98])).
% 5.10/1.36 thf(zip_derived_cl143, plain,
% 5.10/1.36 (![X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i, X8 : $i,
% 5.10/1.36 X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i, X14 : $i]:
% 5.10/1.36 ( (ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X13 @ X12 @ X11 @ X10 @ X9 @
% 5.10/1.36 X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2)
% 5.10/1.36 | (ssPv25_4r1r1r1r1 @ X13 @ X12 @ X11 @ X14))),
% 5.10/1.36 inference('sup-', [status(thm)], [zip_derived_cl141, zip_derived_cl124])).
% 5.10/1.36 thf(clause22, conjecture,
% 5.10/1.36 (~( ( ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ skc38 ) |
% 5.10/1.36 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 5.10/1.36 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 5.10/1.36 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 5.10/1.36 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 5.10/1.36 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 5.10/1.36 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 5.10/1.36 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 5.10/1.36 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 5.10/1.36 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 5.10/1.36 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 5.10/1.36 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) ))).
% 5.10/1.36 thf(zf_stmt_33, negated_conjecture,
% 5.10/1.36 (( ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ skc38 ) |
% 5.10/1.36 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 5.10/1.36 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 5.10/1.36 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 5.10/1.36 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 5.10/1.36 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 5.10/1.36 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 5.10/1.36 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 5.10/1.36 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 5.10/1.36 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 5.10/1.36 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) )),
% 5.10/1.36 inference('cnf.neg', [status(esa)], [clause22])).
% 5.10/1.36 thf(zip_derived_cl21, plain,
% 5.10/1.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.36 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 5.10/1.36 ( (ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 5.10/1.36 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ skc38)
% 5.10/1.36 | ~ (ssNder1_0)
% 5.10/1.36 | ~ (ssNder1_1r1 @ X0)
% 5.10/1.36 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 5.10/1.36 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 5.10/1.36 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 5.10/1.36 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 5.10/1.36 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 5.10/1.36 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 5.10/1.36 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 5.10/1.36 X7)
% 5.10/1.36 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 5.10/1.36 X6 @ X7 @ X8)
% 5.10/1.36 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 5.10/1.36 X6 @ X7 @ X8 @ X9)
% 5.10/1.36 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 5.10/1.36 X5 @ X6 @ X7 @ X8 @ X9 @ X10))),
% 5.10/1.36 inference('cnf', [status(esa)], [zf_stmt_33])).
% 5.10/1.36 thf(zip_derived_cl0, plain, ( (ssNder1_0)),
% 5.10/1.36 inference('cnf', [status(esa)], [zf_stmt_1])).
% 5.10/1.36 thf(zip_derived_cl92, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 5.10/1.36 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 5.10/1.36 thf(zip_derived_cl93, plain,
% 5.10/1.36 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 5.10/1.36 inference('demod', [status(thm)],
% 5.10/1.36 [zip_derived_cl2, zip_derived_cl0, zip_derived_cl92])).
% 5.10/1.36 thf(zip_derived_cl94, plain,
% 5.10/1.36 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 5.10/1.36 inference('demod', [status(thm)],
% 5.10/1.36 [zip_derived_cl3, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.36 zip_derived_cl93])).
% 5.10/1.36 thf(zip_derived_cl96, plain,
% 5.10/1.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 5.10/1.36 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 5.10/1.36 inference('demod', [status(thm)],
% 5.10/1.36 [zip_derived_cl4, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.36 zip_derived_cl93, zip_derived_cl94])).
% 5.10/1.36 thf(zip_derived_cl98, plain,
% 5.10/1.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 5.10/1.36 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 5.10/1.36 inference('demod', [status(thm)],
% 5.10/1.36 [zip_derived_cl7, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.36 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96])).
% 5.10/1.36 thf(zip_derived_cl101, plain,
% 5.10/1.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 5.10/1.36 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 5.10/1.36 inference('demod', [status(thm)],
% 5.10/1.36 [zip_derived_cl10, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.36 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.36 zip_derived_cl98])).
% 5.10/1.36 thf(zip_derived_cl105, plain,
% 5.10/1.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 5.10/1.36 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 5.10/1.36 inference('demod', [status(thm)],
% 5.10/1.36 [zip_derived_cl13, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.36 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.36 zip_derived_cl98, zip_derived_cl101])).
% 5.10/1.36 thf(zip_derived_cl107, plain,
% 5.10/1.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 5.10/1.36 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 5.10/1.36 inference('demod', [status(thm)],
% 5.10/1.36 [zip_derived_cl16, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.36 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.36 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105])).
% 5.10/1.36 thf(zip_derived_cl108, plain,
% 5.10/1.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.36 X7 : $i, X8 : $i]:
% 5.10/1.36 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 5.10/1.36 X7 @ X8)),
% 5.10/1.36 inference('demod', [status(thm)],
% 5.10/1.36 [zip_derived_cl17, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.36 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.36 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.36 zip_derived_cl107])).
% 5.10/1.36 thf(zip_derived_cl109, plain,
% 5.10/1.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.36 X7 : $i, X8 : $i, X9 : $i]:
% 5.10/1.36 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 5.10/1.36 X7 @ X8 @ X9)),
% 5.10/1.36 inference('demod', [status(thm)],
% 5.10/1.36 [zip_derived_cl18, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.36 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.36 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.36 zip_derived_cl107, zip_derived_cl108])).
% 5.10/1.36 thf(zip_derived_cl110, plain,
% 5.10/1.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.36 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 5.10/1.36 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 5.10/1.36 X6 @ X7 @ X8 @ X9 @ X10)),
% 5.10/1.36 inference('demod', [status(thm)],
% 5.10/1.36 [zip_derived_cl19, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.36 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.36 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.36 zip_derived_cl107, zip_derived_cl108, zip_derived_cl109])).
% 5.10/1.36 thf(zip_derived_cl115, plain,
% 5.10/1.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.36 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 5.10/1.36 (ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 5.10/1.36 X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ skc38)),
% 5.10/1.36 inference('demod', [status(thm)],
% 5.10/1.36 [zip_derived_cl21, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.36 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.36 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.36 zip_derived_cl107, zip_derived_cl108, zip_derived_cl109,
% 5.10/1.36 zip_derived_cl110])).
% 5.10/1.36 thf(zip_derived_cl99, plain,
% 5.10/1.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 5.10/1.36 (ssPv23_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ skc44)),
% 5.10/1.36 inference('demod', [status(thm)],
% 5.10/1.36 [zip_derived_cl8, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.36 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96])).
% 5.10/1.36 thf(clause47, conjecture,
% 5.10/1.36 (~( ( ssPv13_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 5.10/1.36 X10 ) |
% 5.10/1.36 ( ssPv11_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 5.10/1.36 X10 @ X11 @ X12 ) |
% 5.10/1.36 ( ssPv12_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 5.10/1.36 X10 @ X11 ) |
% 5.10/1.36 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 5.10/1.36 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 5.10/1.36 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 5.10/1.36 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 5.10/1.36 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 5.10/1.36 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 5.10/1.36 ( ~( ssPv23_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 5.10/1.36 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 5.10/1.36 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 5.10/1.36 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 5.10/1.36 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 5.10/1.36 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 5.10/1.36 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 5.10/1.36 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 5.10/1.36 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 5.10/1.36 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 5.10/1.36 ( ~( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 5.10/1.36 X9 @ X10 ) ) |
% 5.10/1.36 ( ~( ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 5.10/1.36 X9 @ X10 @ X11 ) ) ))).
% 5.10/1.36 thf(zf_stmt_34, negated_conjecture,
% 5.10/1.36 (( ssPv13_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 ) |
% 5.10/1.36 ( ssPv11_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 5.10/1.36 X10 @ X11 @ X12 ) |
% 5.10/1.36 ( ssPv12_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 5.10/1.36 X10 @ X11 ) |
% 5.10/1.36 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 5.10/1.36 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 5.10/1.36 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 5.10/1.36 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 5.10/1.36 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 5.10/1.36 ( ~( ssPv23_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 5.10/1.36 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 5.10/1.36 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 5.10/1.36 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 5.10/1.36 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 5.10/1.36 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 5.10/1.36 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 5.10/1.36 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 5.10/1.36 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 5.10/1.36 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 5.10/1.36 ( ~( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 5.10/1.36 X10 ) ) |
% 5.10/1.36 ( ~( ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 5.10/1.36 X10 @ X11 ) )),
% 5.10/1.36 inference('cnf.neg', [status(esa)], [clause47])).
% 5.10/1.36 thf(zip_derived_cl46, plain,
% 5.10/1.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.36 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 5.10/1.36 X14 : $i, X15 : $i, X16 : $i, X17 : $i]:
% 5.10/1.36 ( (ssPv13_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 5.10/1.36 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15)
% 5.10/1.36 | (ssPv11_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 5.10/1.36 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @
% 5.10/1.36 X15 @ X16 @ X17)
% 5.10/1.36 | (ssPv12_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 5.10/1.36 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @
% 5.10/1.36 X15 @ X16)
% 5.10/1.36 | ~ (ssNder1_0)
% 5.10/1.36 | ~ (ssNder1_1r1 @ X0)
% 5.10/1.36 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 5.10/1.36 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 5.10/1.36 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 5.10/1.36 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 5.10/1.36 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 5.10/1.36 | ~ (ssPv23_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 5.10/1.36 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 5.10/1.36 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 5.10/1.36 X7)
% 5.10/1.36 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 5.10/1.36 X6 @ X7 @ X8)
% 5.10/1.36 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 5.10/1.36 X6 @ X7 @ X8 @ X9)
% 5.10/1.36 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 5.10/1.36 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 5.10/1.36 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 5.10/1.36 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 5.10/1.36 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 5.10/1.36 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 5.10/1.36 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 5.10/1.36 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 5.10/1.36 | ~ (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 5.10/1.36 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 5.10/1.36 | ~ (ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 5.10/1.36 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 5.10/1.36 X14 @ X15)
% 5.10/1.36 | ~ (ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 5.10/1.36 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 5.10/1.36 X14 @ X15 @ X16))),
% 5.10/1.36 inference('cnf', [status(esa)], [zf_stmt_34])).
% 5.10/1.36 thf(zip_derived_cl0, plain, ( (ssNder1_0)),
% 5.10/1.36 inference('cnf', [status(esa)], [zf_stmt_1])).
% 5.10/1.36 thf(zip_derived_cl92, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 5.10/1.36 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 5.10/1.36 thf(zip_derived_cl93, plain,
% 5.10/1.36 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 5.10/1.36 inference('demod', [status(thm)],
% 5.10/1.36 [zip_derived_cl2, zip_derived_cl0, zip_derived_cl92])).
% 5.10/1.36 thf(zip_derived_cl94, plain,
% 5.10/1.36 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 5.10/1.36 inference('demod', [status(thm)],
% 5.10/1.36 [zip_derived_cl3, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.36 zip_derived_cl93])).
% 5.10/1.36 thf(zip_derived_cl96, plain,
% 5.10/1.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 5.10/1.36 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 5.10/1.36 inference('demod', [status(thm)],
% 5.10/1.36 [zip_derived_cl4, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.36 zip_derived_cl93, zip_derived_cl94])).
% 5.10/1.36 thf(zip_derived_cl98, plain,
% 5.10/1.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 5.10/1.36 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 5.10/1.36 inference('demod', [status(thm)],
% 5.10/1.36 [zip_derived_cl7, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.36 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96])).
% 5.10/1.36 thf(zip_derived_cl101, plain,
% 5.10/1.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 5.10/1.36 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 5.10/1.36 inference('demod', [status(thm)],
% 5.10/1.36 [zip_derived_cl10, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.36 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.36 zip_derived_cl98])).
% 5.10/1.36 thf(zip_derived_cl105, plain,
% 5.10/1.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 5.10/1.36 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 5.10/1.36 inference('demod', [status(thm)],
% 5.10/1.36 [zip_derived_cl13, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.36 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.36 zip_derived_cl98, zip_derived_cl101])).
% 5.10/1.36 thf(zip_derived_cl107, plain,
% 5.10/1.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 5.10/1.36 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 5.10/1.36 inference('demod', [status(thm)],
% 5.10/1.36 [zip_derived_cl16, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.36 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.36 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105])).
% 5.10/1.36 thf(zip_derived_cl108, plain,
% 5.10/1.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.36 X7 : $i, X8 : $i]:
% 5.10/1.36 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 5.10/1.36 X7 @ X8)),
% 5.10/1.36 inference('demod', [status(thm)],
% 5.10/1.36 [zip_derived_cl17, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.36 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.36 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.36 zip_derived_cl107])).
% 5.10/1.36 thf(zip_derived_cl109, plain,
% 5.10/1.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.36 X7 : $i, X8 : $i, X9 : $i]:
% 5.10/1.36 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 5.10/1.36 X7 @ X8 @ X9)),
% 5.10/1.36 inference('demod', [status(thm)],
% 5.10/1.36 [zip_derived_cl18, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.36 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.36 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.36 zip_derived_cl107, zip_derived_cl108])).
% 5.10/1.36 thf(zip_derived_cl110, plain,
% 5.10/1.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.36 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 5.10/1.36 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 5.10/1.36 X6 @ X7 @ X8 @ X9 @ X10)),
% 5.10/1.36 inference('demod', [status(thm)],
% 5.10/1.36 [zip_derived_cl19, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.36 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.36 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.36 zip_derived_cl107, zip_derived_cl108, zip_derived_cl109])).
% 5.10/1.36 thf(zip_derived_cl114, plain,
% 5.10/1.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.36 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 5.10/1.36 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 5.10/1.36 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 5.10/1.36 inference('demod', [status(thm)],
% 5.10/1.36 [zip_derived_cl20, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.36 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.36 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.36 zip_derived_cl107, zip_derived_cl108, zip_derived_cl109,
% 5.10/1.36 zip_derived_cl110])).
% 5.10/1.36 thf(zip_derived_cl116, plain,
% 5.10/1.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.36 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 5.10/1.36 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 5.10/1.36 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 5.10/1.36 inference('demod', [status(thm)],
% 5.10/1.36 [zip_derived_cl25, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.36 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.36 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.36 zip_derived_cl107, zip_derived_cl108, zip_derived_cl109,
% 5.10/1.36 zip_derived_cl110, zip_derived_cl114])).
% 5.10/1.36 thf(zip_derived_cl122, plain,
% 5.10/1.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.36 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 5.10/1.36 (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 5.10/1.36 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)),
% 5.10/1.36 inference('demod', [status(thm)],
% 5.10/1.36 [zip_derived_cl30, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.36 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.36 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.36 zip_derived_cl107, zip_derived_cl108, zip_derived_cl109,
% 5.10/1.36 zip_derived_cl110, zip_derived_cl114, zip_derived_cl116])).
% 5.10/1.36 thf(zip_derived_cl128, plain,
% 5.10/1.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.36 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 5.10/1.36 X14 : $i]:
% 5.10/1.36 (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 5.10/1.36 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)),
% 5.10/1.36 inference('demod', [status(thm)],
% 5.10/1.36 [zip_derived_cl33, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.36 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.36 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.36 zip_derived_cl107, zip_derived_cl108, zip_derived_cl109,
% 5.10/1.36 zip_derived_cl110, zip_derived_cl114, zip_derived_cl116,
% 5.10/1.36 zip_derived_cl122])).
% 5.10/1.36 thf(zip_derived_cl130, plain,
% 5.10/1.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.36 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 5.10/1.36 X14 : $i, X15 : $i]:
% 5.10/1.36 (ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 5.10/1.36 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15)),
% 5.10/1.36 inference('demod', [status(thm)],
% 5.10/1.36 [zip_derived_cl37, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.36 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.36 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.36 zip_derived_cl107, zip_derived_cl108, zip_derived_cl109,
% 5.10/1.36 zip_derived_cl110, zip_derived_cl114, zip_derived_cl116,
% 5.10/1.36 zip_derived_cl122, zip_derived_cl128])).
% 5.10/1.36 thf(zip_derived_cl131, plain,
% 5.10/1.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.36 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 5.10/1.36 X14 : $i, X15 : $i, X16 : $i]:
% 5.10/1.36 (ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 5.10/1.36 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @
% 5.10/1.36 X16)),
% 5.10/1.36 inference('demod', [status(thm)],
% 5.10/1.36 [zip_derived_cl38, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.36 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.36 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.36 zip_derived_cl107, zip_derived_cl108, zip_derived_cl109,
% 5.10/1.36 zip_derived_cl110, zip_derived_cl114, zip_derived_cl116,
% 5.10/1.36 zip_derived_cl122, zip_derived_cl128, zip_derived_cl130])).
% 5.10/1.36 thf(zip_derived_cl156, plain,
% 5.10/1.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.36 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 5.10/1.36 X14 : $i, X15 : $i, X16 : $i, X17 : $i]:
% 5.10/1.36 ( (ssPv13_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 5.10/1.36 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15)
% 5.10/1.36 | (ssPv11_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 5.10/1.36 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @
% 5.10/1.36 X15 @ X16 @ X17)
% 5.10/1.36 | (ssPv12_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 5.10/1.36 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @
% 5.10/1.36 X15 @ X16)
% 5.10/1.36 | ~ (ssPv23_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5))),
% 5.10/1.36 inference('demod', [status(thm)],
% 5.10/1.36 [zip_derived_cl46, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.36 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.36 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.36 zip_derived_cl107, zip_derived_cl108, zip_derived_cl109,
% 5.10/1.36 zip_derived_cl110, zip_derived_cl114, zip_derived_cl116,
% 5.10/1.36 zip_derived_cl122, zip_derived_cl128, zip_derived_cl130,
% 5.10/1.36 zip_derived_cl131])).
% 5.10/1.36 thf(zip_derived_cl157, plain,
% 5.10/1.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.36 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 5.10/1.36 X14 : $i, X15 : $i, X16 : $i]:
% 5.10/1.36 ( (ssPv12_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X4 @ X3 @ X2 @ X1 @
% 5.10/1.36 X0 @ skc44 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @
% 5.10/1.36 X6 @ X5)
% 5.10/1.36 | (ssPv11_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X4 @ X3 @ X2 @
% 5.10/1.36 X1 @ X0 @ skc44 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @
% 5.10/1.36 X7 @ X6 @ X5 @ X16)
% 5.10/1.36 | (ssPv13_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X4 @ X3 @ X2 @ X1 @
% 5.10/1.36 X0 @ skc44 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @
% 5.10/1.36 X6))),
% 5.10/1.36 inference('sup-', [status(thm)], [zip_derived_cl99, zip_derived_cl156])).
% 5.10/1.36 thf(zip_derived_cl124, plain,
% 5.10/1.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.36 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 5.10/1.36 X14 : $i]:
% 5.10/1.36 ~ (ssPv13_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 5.10/1.36 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ skc33)),
% 5.10/1.36 inference('demod', [status(thm)],
% 5.10/1.36 [zip_derived_cl36, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.36 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.36 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.36 zip_derived_cl107, zip_derived_cl108, zip_derived_cl109,
% 5.10/1.36 zip_derived_cl110, zip_derived_cl114, zip_derived_cl116,
% 5.10/1.36 zip_derived_cl122])).
% 5.10/1.36 thf(zip_derived_cl158, plain,
% 5.10/1.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.36 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 5.10/1.36 X14 : $i, X15 : $i]:
% 5.10/1.36 ( (ssPv11_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X13 @ X12 @ X11 @
% 5.10/1.36 X10 @ X9 @ skc44 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @
% 5.10/1.36 skc33 @ X15 @ X14)
% 5.10/1.36 | (ssPv12_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X13 @ X12 @ X11 @
% 5.10/1.36 X10 @ X9 @ skc44 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @
% 5.10/1.36 skc33 @ X15))),
% 5.10/1.36 inference('sup-', [status(thm)], [zip_derived_cl157, zip_derived_cl124])).
% 5.10/1.36 thf(zip_derived_cl178, plain,
% 5.10/1.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.36 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 5.10/1.36 X14 : $i, X15 : $i, X16 : $i, X17 : $i, X18 : $i, X19 : $i, X20 : $i]:
% 5.10/1.36 (ssPv7_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @
% 5.10/1.36 X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 5.10/1.36 X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ skc28)),
% 5.10/1.36 inference('demod', [status(thm)],
% 5.10/1.36 [zip_derived_cl52, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.36 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.36 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.36 zip_derived_cl107, zip_derived_cl108, zip_derived_cl109,
% 5.10/1.36 zip_derived_cl110, zip_derived_cl114, zip_derived_cl116,
% 5.10/1.36 zip_derived_cl122, zip_derived_cl128, zip_derived_cl130,
% 5.10/1.36 zip_derived_cl131, zip_derived_cl154, zip_derived_cl155,
% 5.10/1.36 zip_derived_cl161])).
% 5.10/1.36 thf(clause67, conjecture,
% 5.10/1.36 (~( ( ssPv12_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 5.10/1.36 X10 @ X11 ) |
% 5.10/1.36 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 5.10/1.36 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 5.10/1.36 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 5.10/1.36 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 5.10/1.36 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 5.10/1.36 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 5.10/1.36 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 5.10/1.36 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 5.10/1.36 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 5.10/1.36 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 5.10/1.36 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 5.10/1.36 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 5.10/1.36 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 5.10/1.36 ( ~( ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 5.10/1.36 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 5.10/1.36 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 5.10/1.36 ( ~( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 5.10/1.36 X9 @ X10 ) ) |
% 5.10/1.36 ( ~( ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 5.10/1.36 X9 @ X10 @ X11 ) ) |
% 5.10/1.36 ( ~( ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 5.10/1.36 X9 @ X10 @ X11 @ X12 ) ) |
% 5.10/1.36 ( ~( ssPv11_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 5.10/1.36 X9 @ X10 @ X11 @ X12 ) ) |
% 5.10/1.36 ( ~( ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 5.10/1.36 X9 @ X10 @ X11 @ X12 @ X13 ) ) |
% 5.10/1.36 ( ~( ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 5.10/1.36 X9 @ X10 @ X11 @ X12 @ X13 @ X14 ) ) |
% 5.10/1.36 ( ~( ssPv7_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 5.10/1.36 X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 ) ) |
% 5.10/1.36 ( ~( ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 5.10/1.36 X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 ) ) ))).
% 5.10/1.36 thf(zf_stmt_35, negated_conjecture,
% 5.10/1.36 (( ssPv12_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 5.10/1.36 X10 @ X11 ) |
% 5.10/1.36 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 5.10/1.36 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 5.10/1.36 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 5.10/1.36 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 5.10/1.36 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 5.10/1.36 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 5.10/1.36 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 5.10/1.36 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 5.10/1.36 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 5.10/1.36 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 5.10/1.36 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 5.10/1.36 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 5.10/1.36 ( ~( ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 5.10/1.36 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 5.10/1.36 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 5.10/1.36 ( ~( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 5.10/1.36 X10 ) ) |
% 5.10/1.36 ( ~( ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 5.10/1.36 X10 @ X11 ) ) |
% 5.10/1.36 ( ~( ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 5.10/1.36 X10 @ X11 @ X12 ) ) |
% 5.10/1.36 ( ~( ssPv11_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 5.10/1.36 X10 @ X11 @ X12 ) ) |
% 5.10/1.36 ( ~( ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 5.10/1.36 X10 @ X11 @ X12 @ X13 ) ) |
% 5.10/1.36 ( ~( ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 5.10/1.36 X10 @ X11 @ X12 @ X13 @ X14 ) ) |
% 5.10/1.36 ( ~( ssPv7_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 5.10/1.36 X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 ) ) |
% 5.10/1.36 ( ~( ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 5.10/1.36 X10 @ X11 @ X12 @ X13 @ X14 @ X15 ) )),
% 5.10/1.36 inference('cnf.neg', [status(esa)], [clause67])).
% 5.10/1.36 thf(zip_derived_cl66, plain,
% 5.10/1.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.36 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 5.10/1.36 X14 : $i, X15 : $i, X16 : $i, X17 : $i, X18 : $i, X19 : $i, X20 : $i,
% 5.10/1.36 X21 : $i]:
% 5.10/1.36 ( (ssPv12_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 5.10/1.36 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @
% 5.10/1.36 X16)
% 5.10/1.36 | ~ (ssNder1_0)
% 5.10/1.36 | ~ (ssNder1_1r1 @ X0)
% 5.10/1.36 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 5.10/1.36 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 5.10/1.36 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 5.10/1.36 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 5.10/1.36 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 5.10/1.36 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 5.10/1.36 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 5.10/1.36 X7)
% 5.10/1.36 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 5.10/1.36 X6 @ X7 @ X8)
% 5.10/1.36 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 5.10/1.36 X6 @ X7 @ X8 @ X9)
% 5.10/1.36 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 5.10/1.36 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 5.10/1.36 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 5.10/1.36 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 5.10/1.36 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 5.10/1.36 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 5.10/1.36 | ~ (ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 5.10/1.36 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 5.10/1.36 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 5.10/1.36 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 5.10/1.36 | ~ (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 5.10/1.36 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 5.10/1.36 | ~ (ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 5.10/1.36 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 5.10/1.36 X14 @ X15)
% 5.10/1.36 | ~ (ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 5.10/1.36 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 5.10/1.36 X14 @ X15 @ X16)
% 5.10/1.36 | ~ (ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 5.10/1.36 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 5.10/1.36 X14 @ X15 @ X16 @ X17)
% 5.10/1.36 | ~ (ssPv11_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 5.10/1.36 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 5.10/1.36 X14 @ X15 @ X16 @ X17)
% 5.10/1.36 | ~ (ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @
% 5.10/1.36 X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 5.10/1.36 X14 @ X15 @ X16 @ X17 @ X18)
% 5.10/1.36 | ~ (ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @
% 5.10/1.36 X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 5.10/1.36 X14 @ X15 @ X16 @ X17 @ X18 @ X19)
% 5.10/1.36 | ~ (ssPv7_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @
% 5.10/1.36 X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @
% 5.10/1.36 X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21)
% 5.10/1.36 | ~ (ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @
% 5.10/1.36 X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @
% 5.10/1.36 X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20))),
% 5.10/1.36 inference('cnf', [status(esa)], [zf_stmt_35])).
% 5.10/1.36 thf(zip_derived_cl0, plain, ( (ssNder1_0)),
% 5.10/1.36 inference('cnf', [status(esa)], [zf_stmt_1])).
% 5.10/1.36 thf(zip_derived_cl92, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 5.10/1.36 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 5.10/1.36 thf(zip_derived_cl93, plain,
% 5.10/1.36 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 5.10/1.36 inference('demod', [status(thm)],
% 5.10/1.36 [zip_derived_cl2, zip_derived_cl0, zip_derived_cl92])).
% 5.10/1.36 thf(zip_derived_cl94, plain,
% 5.10/1.36 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 5.10/1.36 inference('demod', [status(thm)],
% 5.10/1.36 [zip_derived_cl3, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.36 zip_derived_cl93])).
% 5.10/1.36 thf(zip_derived_cl96, plain,
% 5.10/1.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 5.10/1.36 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 5.10/1.36 inference('demod', [status(thm)],
% 5.10/1.36 [zip_derived_cl4, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.36 zip_derived_cl93, zip_derived_cl94])).
% 5.10/1.36 thf(zip_derived_cl98, plain,
% 5.10/1.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 5.10/1.36 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 5.10/1.36 inference('demod', [status(thm)],
% 5.10/1.36 [zip_derived_cl7, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.36 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96])).
% 5.10/1.36 thf(zip_derived_cl101, plain,
% 5.10/1.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 5.10/1.36 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 5.10/1.36 inference('demod', [status(thm)],
% 5.10/1.36 [zip_derived_cl10, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.36 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.36 zip_derived_cl98])).
% 5.10/1.36 thf(zip_derived_cl105, plain,
% 5.10/1.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 5.10/1.36 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 5.10/1.36 inference('demod', [status(thm)],
% 5.10/1.36 [zip_derived_cl13, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.36 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.36 zip_derived_cl98, zip_derived_cl101])).
% 5.10/1.36 thf(zip_derived_cl107, plain,
% 5.10/1.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 5.10/1.36 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 5.10/1.36 inference('demod', [status(thm)],
% 5.10/1.36 [zip_derived_cl16, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.36 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.36 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105])).
% 5.10/1.36 thf(zip_derived_cl108, plain,
% 5.10/1.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.36 X7 : $i, X8 : $i]:
% 5.10/1.36 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 5.10/1.36 X7 @ X8)),
% 5.10/1.36 inference('demod', [status(thm)],
% 5.10/1.36 [zip_derived_cl17, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.36 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.36 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.36 zip_derived_cl107])).
% 5.10/1.36 thf(zip_derived_cl109, plain,
% 5.10/1.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.36 X7 : $i, X8 : $i, X9 : $i]:
% 5.10/1.36 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 5.10/1.36 X7 @ X8 @ X9)),
% 5.10/1.36 inference('demod', [status(thm)],
% 5.10/1.36 [zip_derived_cl18, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.36 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.36 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.36 zip_derived_cl107, zip_derived_cl108])).
% 5.10/1.36 thf(zip_derived_cl110, plain,
% 5.10/1.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.36 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 5.10/1.36 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 5.10/1.36 X6 @ X7 @ X8 @ X9 @ X10)),
% 5.10/1.36 inference('demod', [status(thm)],
% 5.10/1.36 [zip_derived_cl19, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.36 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.36 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.36 zip_derived_cl107, zip_derived_cl108, zip_derived_cl109])).
% 5.10/1.36 thf(zip_derived_cl114, plain,
% 5.10/1.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.36 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 5.10/1.36 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 5.10/1.36 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 5.10/1.36 inference('demod', [status(thm)],
% 5.10/1.36 [zip_derived_cl20, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.36 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.36 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.36 zip_derived_cl107, zip_derived_cl108, zip_derived_cl109,
% 5.10/1.36 zip_derived_cl110])).
% 5.10/1.36 thf(zip_derived_cl116, plain,
% 5.10/1.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.36 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 5.10/1.36 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 5.10/1.36 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 5.10/1.36 inference('demod', [status(thm)],
% 5.10/1.36 [zip_derived_cl25, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.36 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.36 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.36 zip_derived_cl107, zip_derived_cl108, zip_derived_cl109,
% 5.10/1.36 zip_derived_cl110, zip_derived_cl114])).
% 5.10/1.36 thf(zip_derived_cl122, plain,
% 5.10/1.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.36 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 5.10/1.36 (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 5.10/1.36 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)),
% 5.10/1.36 inference('demod', [status(thm)],
% 5.10/1.36 [zip_derived_cl30, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.36 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.36 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.36 zip_derived_cl107, zip_derived_cl108, zip_derived_cl109,
% 5.10/1.36 zip_derived_cl110, zip_derived_cl114, zip_derived_cl116])).
% 5.10/1.36 thf(zip_derived_cl128, plain,
% 5.10/1.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.36 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 5.10/1.36 X14 : $i]:
% 5.10/1.36 (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 5.10/1.36 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)),
% 5.10/1.36 inference('demod', [status(thm)],
% 5.10/1.36 [zip_derived_cl33, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.36 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.36 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.36 zip_derived_cl107, zip_derived_cl108, zip_derived_cl109,
% 5.10/1.36 zip_derived_cl110, zip_derived_cl114, zip_derived_cl116,
% 5.10/1.36 zip_derived_cl122])).
% 5.10/1.36 thf(zip_derived_cl130, plain,
% 5.10/1.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.36 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 5.10/1.36 X14 : $i, X15 : $i]:
% 5.10/1.36 (ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 5.10/1.36 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15)),
% 5.10/1.36 inference('demod', [status(thm)],
% 5.10/1.36 [zip_derived_cl37, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.36 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.36 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.36 zip_derived_cl107, zip_derived_cl108, zip_derived_cl109,
% 5.10/1.36 zip_derived_cl110, zip_derived_cl114, zip_derived_cl116,
% 5.10/1.36 zip_derived_cl122, zip_derived_cl128])).
% 5.10/1.36 thf(zip_derived_cl131, plain,
% 5.10/1.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.36 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 5.10/1.36 X14 : $i, X15 : $i, X16 : $i]:
% 5.10/1.36 (ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 5.10/1.36 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @
% 5.10/1.36 X16)),
% 5.10/1.36 inference('demod', [status(thm)],
% 5.10/1.36 [zip_derived_cl38, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.36 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.36 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.36 zip_derived_cl107, zip_derived_cl108, zip_derived_cl109,
% 5.10/1.36 zip_derived_cl110, zip_derived_cl114, zip_derived_cl116,
% 5.10/1.36 zip_derived_cl122, zip_derived_cl128, zip_derived_cl130])).
% 5.10/1.36 thf(zip_derived_cl154, plain,
% 5.10/1.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.36 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 5.10/1.36 X14 : $i, X15 : $i, X16 : $i, X17 : $i]:
% 5.10/1.36 (ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 5.10/1.36 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @
% 5.10/1.36 X15 @ X16 @ X17)),
% 5.10/1.36 inference('demod', [status(thm)],
% 5.10/1.36 [zip_derived_cl42, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.36 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.36 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.36 zip_derived_cl107, zip_derived_cl108, zip_derived_cl109,
% 5.10/1.36 zip_derived_cl110, zip_derived_cl114, zip_derived_cl116,
% 5.10/1.36 zip_derived_cl122, zip_derived_cl128, zip_derived_cl130,
% 5.10/1.36 zip_derived_cl131])).
% 5.10/1.36 thf(zip_derived_cl155, plain,
% 5.10/1.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.36 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 5.10/1.36 X14 : $i, X15 : $i, X16 : $i, X17 : $i, X18 : $i]:
% 5.10/1.36 (ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 5.10/1.36 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @
% 5.10/1.36 X15 @ X16 @ X17 @ X18)),
% 5.10/1.36 inference('demod', [status(thm)],
% 5.10/1.36 [zip_derived_cl44, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.36 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.36 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.36 zip_derived_cl107, zip_derived_cl108, zip_derived_cl109,
% 5.10/1.36 zip_derived_cl110, zip_derived_cl114, zip_derived_cl116,
% 5.10/1.36 zip_derived_cl122, zip_derived_cl128, zip_derived_cl130,
% 5.10/1.36 zip_derived_cl131, zip_derived_cl154])).
% 5.10/1.36 thf(zip_derived_cl161, plain,
% 5.10/1.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.36 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 5.10/1.36 X14 : $i, X15 : $i, X16 : $i, X17 : $i, X18 : $i, X19 : $i]:
% 5.10/1.36 (ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 5.10/1.36 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @
% 5.10/1.36 X15 @ X16 @ X17 @ X18 @ X19)),
% 5.10/1.36 inference('demod', [status(thm)],
% 5.10/1.36 [zip_derived_cl45, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.36 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.36 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.36 zip_derived_cl107, zip_derived_cl108, zip_derived_cl109,
% 5.10/1.36 zip_derived_cl110, zip_derived_cl114, zip_derived_cl116,
% 5.10/1.36 zip_derived_cl122, zip_derived_cl128, zip_derived_cl130,
% 5.10/1.36 zip_derived_cl131, zip_derived_cl154, zip_derived_cl155])).
% 5.10/1.36 thf(zip_derived_cl177, plain,
% 5.10/1.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.36 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 5.10/1.36 X14 : $i, X15 : $i, X16 : $i, X17 : $i, X18 : $i, X19 : $i, X20 : $i]:
% 5.10/1.36 (ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @
% 5.10/1.36 X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 5.10/1.36 X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20)),
% 5.10/1.36 inference('demod', [status(thm)],
% 5.10/1.36 [zip_derived_cl51, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.36 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.36 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.36 zip_derived_cl107, zip_derived_cl108, zip_derived_cl109,
% 5.10/1.36 zip_derived_cl110, zip_derived_cl114, zip_derived_cl116,
% 5.10/1.36 zip_derived_cl122, zip_derived_cl128, zip_derived_cl130,
% 5.10/1.36 zip_derived_cl131, zip_derived_cl154, zip_derived_cl155,
% 5.10/1.36 zip_derived_cl161])).
% 5.10/1.36 thf(zip_derived_cl229, plain,
% 5.10/1.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.36 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 5.10/1.36 X14 : $i, X15 : $i, X16 : $i, X17 : $i, X18 : $i, X19 : $i, X20 : $i,
% 5.10/1.36 X21 : $i]:
% 5.10/1.36 ( (ssPv12_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 5.10/1.36 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @
% 5.10/1.36 X16)
% 5.10/1.36 | ~ (ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 5.10/1.36 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 5.10/1.36 | ~ (ssPv11_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 5.10/1.36 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 5.10/1.36 X14 @ X15 @ X16 @ X17)
% 5.10/1.36 | ~ (ssPv7_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @
% 5.10/1.36 X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @
% 5.10/1.36 X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21))),
% 5.10/1.36 inference('demod', [status(thm)],
% 5.10/1.36 [zip_derived_cl66, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.36 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.36 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.36 zip_derived_cl107, zip_derived_cl108, zip_derived_cl109,
% 5.10/1.36 zip_derived_cl110, zip_derived_cl114, zip_derived_cl116,
% 5.10/1.36 zip_derived_cl122, zip_derived_cl128, zip_derived_cl130,
% 5.10/1.36 zip_derived_cl131, zip_derived_cl154, zip_derived_cl155,
% 5.10/1.36 zip_derived_cl161, zip_derived_cl177])).
% 5.10/1.36 thf(zip_derived_cl230, plain,
% 5.10/1.36 (![X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i, X8 : $i, X9 : $i,
% 5.10/1.36 X10 : $i, X11 : $i, X12 : $i, X13 : $i, X14 : $i, X15 : $i, X16 : $i,
% 5.10/1.36 X17 : $i, X18 : $i, X19 : $i, X20 : $i]:
% 5.10/1.36 (~ (ssPv11_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X20 @ X19 @ X18 @
% 5.10/1.36 X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @
% 5.10/1.36 X6 @ X5 @ X4 @ X3)
% 5.10/1.36 | ~ (ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X20 @ X19 @ X18 @ X17 @
% 5.10/1.36 X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8)
% 5.10/1.36 | (ssPv12_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X20 @ X19 @ X18 @
% 5.10/1.36 X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @
% 5.10/1.36 X6 @ X5 @ X4))),
% 5.10/1.36 inference('sup-', [status(thm)], [zip_derived_cl178, zip_derived_cl229])).
% 5.10/1.36 thf(zip_derived_cl232, plain,
% 5.10/1.36 (![X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i,
% 5.10/1.36 X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i, X14 : $i,
% 5.10/1.36 X15 : $i]:
% 5.10/1.36 ( (ssPv12_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X15 @ X14 @ X13 @
% 5.10/1.36 X12 @ X11 @ skc44 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @
% 5.10/1.36 skc33 @ X1)
% 5.10/1.36 | (ssPv12_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X15 @ X14 @ X13 @
% 5.10/1.36 X12 @ X11 @ skc44 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @
% 5.10/1.36 X2 @ skc33 @ X1)
% 5.10/1.36 | ~ (ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X15 @ X14 @ X13 @ X12 @
% 5.10/1.36 X11 @ skc44 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4))),
% 5.10/1.36 inference('sup-', [status(thm)], [zip_derived_cl158, zip_derived_cl230])).
% 5.10/1.36 thf(zip_derived_cl234, plain,
% 5.10/1.36 (![X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i,
% 5.10/1.36 X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i, X14 : $i,
% 5.10/1.36 X15 : $i]:
% 5.10/1.36 (~ (ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X15 @ X14 @ X13 @ X12 @
% 5.10/1.36 X11 @ skc44 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4)
% 5.10/1.36 | (ssPv12_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X15 @ X14 @ X13 @
% 5.10/1.36 X12 @ X11 @ skc44 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @
% 5.10/1.36 X2 @ skc33 @ X1))),
% 5.10/1.36 inference('simplify', [status(thm)], [zip_derived_cl232])).
% 5.10/1.36 thf(zip_derived_cl235, plain,
% 5.10/1.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.36 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 5.10/1.36 (ssPv12_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X10 @ X9 @ X8 @ X7 @
% 5.10/1.36 X6 @ skc44 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ skc38 @ X13 @ X12 @
% 5.10/1.36 skc33 @ X11)),
% 5.10/1.36 inference('sup-', [status(thm)], [zip_derived_cl115, zip_derived_cl234])).
% 5.10/1.36 thf(zip_derived_cl178, plain,
% 5.10/1.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.36 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 5.10/1.36 X14 : $i, X15 : $i, X16 : $i, X17 : $i, X18 : $i, X19 : $i, X20 : $i]:
% 5.10/1.36 (ssPv7_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @
% 5.10/1.36 X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 5.10/1.36 X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ skc28)),
% 5.10/1.36 inference('demod', [status(thm)],
% 5.10/1.36 [zip_derived_cl52, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.36 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.36 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.36 zip_derived_cl107, zip_derived_cl108, zip_derived_cl109,
% 5.10/1.36 zip_derived_cl110, zip_derived_cl114, zip_derived_cl116,
% 5.10/1.36 zip_derived_cl122, zip_derived_cl128, zip_derived_cl130,
% 5.10/1.36 zip_derived_cl131, zip_derived_cl154, zip_derived_cl155,
% 5.10/1.36 zip_derived_cl161])).
% 5.10/1.36 thf(clause65, conjecture,
% 5.10/1.36 (~( ( ssPv24_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) |
% 5.10/1.36 ( ssPv9_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 5.10/1.36 X10 @ X11 @ X12 @ X13 @ X14 ) |
% 5.10/1.36 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 5.10/1.36 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 5.10/1.36 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 5.10/1.36 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 5.10/1.36 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 5.10/1.36 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 5.10/1.36 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 5.10/1.36 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 5.10/1.36 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 5.10/1.36 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 5.10/1.36 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 5.10/1.36 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 5.10/1.36 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 5.10/1.36 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 5.10/1.36 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 5.10/1.36 ( ~( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 5.10/1.36 X9 @ X10 ) ) |
% 5.10/1.36 ( ~( ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 5.10/1.36 X9 @ X10 @ X11 ) ) |
% 5.10/1.36 ( ~( ssPv12_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 5.10/1.36 X9 @ X10 @ X11 ) ) |
% 5.10/1.36 ( ~( ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 5.10/1.36 X9 @ X10 @ X11 @ X12 ) ) |
% 5.10/1.36 ( ~( ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 5.10/1.36 X9 @ X10 @ X11 @ X12 @ X13 ) ) |
% 5.10/1.36 ( ~( ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 5.10/1.36 X9 @ X10 @ X11 @ X12 @ X13 @ X14 ) ) |
% 5.10/1.36 ( ~( ssPv7_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 5.10/1.36 X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 ) ) |
% 5.10/1.36 ( ~( ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 5.10/1.36 X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 ) ) ))).
% 5.10/1.36 thf(zf_stmt_36, negated_conjecture,
% 5.10/1.36 (( ssPv24_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) |
% 5.10/1.36 ( ssPv9_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 5.10/1.36 X10 @ X11 @ X12 @ X13 @ X14 ) |
% 5.10/1.36 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 5.10/1.36 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 5.10/1.36 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 5.10/1.36 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 5.10/1.36 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 5.10/1.36 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 5.10/1.36 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 5.10/1.36 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 5.10/1.36 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 5.10/1.36 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 5.10/1.36 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 5.10/1.36 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 5.10/1.36 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 5.10/1.36 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 5.10/1.36 ( ~( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 5.10/1.36 X10 ) ) |
% 5.10/1.36 ( ~( ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 5.10/1.36 X10 @ X11 ) ) |
% 5.10/1.36 ( ~( ssPv12_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 5.10/1.36 X10 @ X11 ) ) |
% 5.10/1.36 ( ~( ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 5.10/1.36 X10 @ X11 @ X12 ) ) |
% 5.10/1.36 ( ~( ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 5.10/1.36 X10 @ X11 @ X12 @ X13 ) ) |
% 5.10/1.36 ( ~( ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 5.10/1.36 X10 @ X11 @ X12 @ X13 @ X14 ) ) |
% 5.10/1.36 ( ~( ssPv7_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 5.10/1.36 X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 ) ) |
% 5.10/1.36 ( ~( ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 5.10/1.36 X10 @ X11 @ X12 @ X13 @ X14 @ X15 ) )),
% 5.10/1.36 inference('cnf.neg', [status(esa)], [clause65])).
% 5.10/1.36 thf(zip_derived_cl64, plain,
% 5.10/1.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.36 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 5.10/1.36 X14 : $i, X15 : $i, X16 : $i, X17 : $i, X18 : $i, X19 : $i, X20 : $i,
% 5.10/1.36 X21 : $i]:
% 5.10/1.36 ( (ssPv24_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 5.10/1.36 | (ssPv9_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @
% 5.10/1.36 X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 5.10/1.36 X14 @ X15 @ X16 @ X17 @ X18 @ X19)
% 5.10/1.36 | ~ (ssNder1_0)
% 5.10/1.36 | ~ (ssNder1_1r1 @ X0)
% 5.10/1.36 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 5.10/1.36 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 5.10/1.36 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 5.10/1.36 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 5.10/1.36 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 5.10/1.36 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 5.10/1.36 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 5.10/1.36 X7)
% 5.10/1.36 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 5.10/1.36 X6 @ X7 @ X8)
% 5.10/1.36 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 5.10/1.36 X6 @ X7 @ X8 @ X9)
% 5.10/1.36 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 5.10/1.36 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 5.10/1.36 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 5.10/1.36 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 5.10/1.36 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 5.10/1.36 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 5.10/1.36 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 5.10/1.36 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 5.10/1.36 | ~ (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 5.10/1.36 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 5.10/1.36 | ~ (ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 5.10/1.36 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 5.10/1.36 X14 @ X15)
% 5.10/1.36 | ~ (ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 5.10/1.36 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 5.10/1.36 X14 @ X15 @ X16)
% 5.10/1.36 | ~ (ssPv12_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 5.10/1.36 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 5.10/1.36 X14 @ X15 @ X16)
% 5.10/1.36 | ~ (ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 5.10/1.36 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 5.10/1.36 X14 @ X15 @ X16 @ X17)
% 5.10/1.36 | ~ (ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @
% 5.10/1.36 X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 5.10/1.36 X14 @ X15 @ X16 @ X17 @ X18)
% 5.10/1.36 | ~ (ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @
% 5.10/1.36 X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 5.10/1.36 X14 @ X15 @ X16 @ X17 @ X18 @ X19)
% 5.10/1.36 | ~ (ssPv7_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @
% 5.10/1.36 X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @
% 5.10/1.36 X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21)
% 5.10/1.36 | ~ (ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @
% 5.10/1.36 X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @
% 5.10/1.36 X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20))),
% 5.10/1.36 inference('cnf', [status(esa)], [zf_stmt_36])).
% 5.10/1.36 thf(zip_derived_cl0, plain, ( (ssNder1_0)),
% 5.10/1.36 inference('cnf', [status(esa)], [zf_stmt_1])).
% 5.10/1.36 thf(zip_derived_cl92, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 5.10/1.36 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 5.10/1.36 thf(zip_derived_cl93, plain,
% 5.10/1.36 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 5.10/1.36 inference('demod', [status(thm)],
% 5.10/1.36 [zip_derived_cl2, zip_derived_cl0, zip_derived_cl92])).
% 5.10/1.36 thf(zip_derived_cl94, plain,
% 5.10/1.36 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 5.10/1.36 inference('demod', [status(thm)],
% 5.10/1.36 [zip_derived_cl3, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.36 zip_derived_cl93])).
% 5.10/1.36 thf(zip_derived_cl96, plain,
% 5.10/1.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 5.10/1.36 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 5.10/1.36 inference('demod', [status(thm)],
% 5.10/1.36 [zip_derived_cl4, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.36 zip_derived_cl93, zip_derived_cl94])).
% 5.10/1.36 thf(zip_derived_cl98, plain,
% 5.10/1.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 5.10/1.36 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 5.10/1.36 inference('demod', [status(thm)],
% 5.10/1.36 [zip_derived_cl7, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.36 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96])).
% 5.10/1.36 thf(zip_derived_cl101, plain,
% 5.10/1.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 5.10/1.36 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 5.10/1.36 inference('demod', [status(thm)],
% 5.10/1.36 [zip_derived_cl10, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.36 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.36 zip_derived_cl98])).
% 5.10/1.36 thf(zip_derived_cl105, plain,
% 5.10/1.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 5.10/1.36 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 5.10/1.36 inference('demod', [status(thm)],
% 5.10/1.36 [zip_derived_cl13, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.36 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.36 zip_derived_cl98, zip_derived_cl101])).
% 5.10/1.36 thf(zip_derived_cl107, plain,
% 5.10/1.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 5.10/1.36 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 5.10/1.36 inference('demod', [status(thm)],
% 5.10/1.36 [zip_derived_cl16, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.36 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.36 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105])).
% 5.10/1.36 thf(zip_derived_cl108, plain,
% 5.10/1.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.36 X7 : $i, X8 : $i]:
% 5.10/1.36 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 5.10/1.36 X7 @ X8)),
% 5.10/1.36 inference('demod', [status(thm)],
% 5.10/1.36 [zip_derived_cl17, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.36 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.36 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.36 zip_derived_cl107])).
% 5.10/1.36 thf(zip_derived_cl109, plain,
% 5.10/1.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.36 X7 : $i, X8 : $i, X9 : $i]:
% 5.10/1.36 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 5.10/1.36 X7 @ X8 @ X9)),
% 5.10/1.36 inference('demod', [status(thm)],
% 5.10/1.36 [zip_derived_cl18, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.36 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.36 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.36 zip_derived_cl107, zip_derived_cl108])).
% 5.10/1.36 thf(zip_derived_cl110, plain,
% 5.10/1.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.36 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 5.10/1.36 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 5.10/1.36 X6 @ X7 @ X8 @ X9 @ X10)),
% 5.10/1.36 inference('demod', [status(thm)],
% 5.10/1.36 [zip_derived_cl19, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.36 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.36 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.36 zip_derived_cl107, zip_derived_cl108, zip_derived_cl109])).
% 5.10/1.36 thf(zip_derived_cl114, plain,
% 5.10/1.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.36 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 5.10/1.36 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 5.10/1.36 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 5.10/1.36 inference('demod', [status(thm)],
% 5.10/1.36 [zip_derived_cl20, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.36 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.36 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.36 zip_derived_cl107, zip_derived_cl108, zip_derived_cl109,
% 5.10/1.36 zip_derived_cl110])).
% 5.10/1.36 thf(zip_derived_cl116, plain,
% 5.10/1.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.36 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 5.10/1.36 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 5.10/1.36 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 5.10/1.36 inference('demod', [status(thm)],
% 5.10/1.36 [zip_derived_cl25, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.36 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.36 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.36 zip_derived_cl107, zip_derived_cl108, zip_derived_cl109,
% 5.10/1.36 zip_derived_cl110, zip_derived_cl114])).
% 5.10/1.36 thf(zip_derived_cl122, plain,
% 5.10/1.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.36 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 5.10/1.36 (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 5.10/1.36 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)),
% 5.10/1.36 inference('demod', [status(thm)],
% 5.10/1.36 [zip_derived_cl30, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.36 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.36 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.36 zip_derived_cl107, zip_derived_cl108, zip_derived_cl109,
% 5.10/1.36 zip_derived_cl110, zip_derived_cl114, zip_derived_cl116])).
% 5.10/1.36 thf(zip_derived_cl128, plain,
% 5.10/1.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.36 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 5.10/1.36 X14 : $i]:
% 5.10/1.36 (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 5.10/1.36 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)),
% 5.10/1.36 inference('demod', [status(thm)],
% 5.10/1.36 [zip_derived_cl33, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.36 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.36 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.36 zip_derived_cl107, zip_derived_cl108, zip_derived_cl109,
% 5.10/1.36 zip_derived_cl110, zip_derived_cl114, zip_derived_cl116,
% 5.10/1.36 zip_derived_cl122])).
% 5.10/1.36 thf(zip_derived_cl130, plain,
% 5.10/1.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.36 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 5.10/1.36 X14 : $i, X15 : $i]:
% 5.10/1.36 (ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 5.10/1.36 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15)),
% 5.10/1.36 inference('demod', [status(thm)],
% 5.10/1.36 [zip_derived_cl37, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.36 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.36 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.36 zip_derived_cl107, zip_derived_cl108, zip_derived_cl109,
% 5.10/1.36 zip_derived_cl110, zip_derived_cl114, zip_derived_cl116,
% 5.10/1.36 zip_derived_cl122, zip_derived_cl128])).
% 5.10/1.36 thf(zip_derived_cl131, plain,
% 5.10/1.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.36 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 5.10/1.36 X14 : $i, X15 : $i, X16 : $i]:
% 5.10/1.36 (ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 5.10/1.36 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @
% 5.10/1.36 X16)),
% 5.10/1.36 inference('demod', [status(thm)],
% 5.10/1.36 [zip_derived_cl38, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.36 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.36 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.36 zip_derived_cl107, zip_derived_cl108, zip_derived_cl109,
% 5.10/1.36 zip_derived_cl110, zip_derived_cl114, zip_derived_cl116,
% 5.10/1.36 zip_derived_cl122, zip_derived_cl128, zip_derived_cl130])).
% 5.10/1.36 thf(zip_derived_cl154, plain,
% 5.10/1.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.36 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 5.10/1.36 X14 : $i, X15 : $i, X16 : $i, X17 : $i]:
% 5.10/1.36 (ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 5.10/1.36 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @
% 5.10/1.36 X15 @ X16 @ X17)),
% 5.10/1.36 inference('demod', [status(thm)],
% 5.10/1.36 [zip_derived_cl42, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.36 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.36 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.36 zip_derived_cl107, zip_derived_cl108, zip_derived_cl109,
% 5.10/1.36 zip_derived_cl110, zip_derived_cl114, zip_derived_cl116,
% 5.10/1.36 zip_derived_cl122, zip_derived_cl128, zip_derived_cl130,
% 5.10/1.36 zip_derived_cl131])).
% 5.10/1.36 thf(zip_derived_cl155, plain,
% 5.10/1.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.36 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 5.10/1.36 X14 : $i, X15 : $i, X16 : $i, X17 : $i, X18 : $i]:
% 5.10/1.36 (ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 5.10/1.36 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @
% 5.10/1.36 X15 @ X16 @ X17 @ X18)),
% 5.10/1.36 inference('demod', [status(thm)],
% 5.10/1.36 [zip_derived_cl44, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.36 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.36 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.36 zip_derived_cl107, zip_derived_cl108, zip_derived_cl109,
% 5.10/1.36 zip_derived_cl110, zip_derived_cl114, zip_derived_cl116,
% 5.10/1.36 zip_derived_cl122, zip_derived_cl128, zip_derived_cl130,
% 5.10/1.36 zip_derived_cl131, zip_derived_cl154])).
% 5.10/1.36 thf(zip_derived_cl161, plain,
% 5.10/1.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.36 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 5.10/1.36 X14 : $i, X15 : $i, X16 : $i, X17 : $i, X18 : $i, X19 : $i]:
% 5.10/1.36 (ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 5.10/1.36 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @
% 5.10/1.36 X15 @ X16 @ X17 @ X18 @ X19)),
% 5.10/1.36 inference('demod', [status(thm)],
% 5.10/1.36 [zip_derived_cl45, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.36 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.36 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.36 zip_derived_cl107, zip_derived_cl108, zip_derived_cl109,
% 5.10/1.36 zip_derived_cl110, zip_derived_cl114, zip_derived_cl116,
% 5.10/1.36 zip_derived_cl122, zip_derived_cl128, zip_derived_cl130,
% 5.10/1.36 zip_derived_cl131, zip_derived_cl154, zip_derived_cl155])).
% 5.10/1.36 thf(zip_derived_cl177, plain,
% 5.10/1.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.36 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 5.10/1.36 X14 : $i, X15 : $i, X16 : $i, X17 : $i, X18 : $i, X19 : $i, X20 : $i]:
% 5.10/1.36 (ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @
% 5.10/1.36 X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 5.10/1.36 X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20)),
% 5.10/1.36 inference('demod', [status(thm)],
% 5.10/1.36 [zip_derived_cl51, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.36 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.36 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.36 zip_derived_cl107, zip_derived_cl108, zip_derived_cl109,
% 5.10/1.36 zip_derived_cl110, zip_derived_cl114, zip_derived_cl116,
% 5.10/1.36 zip_derived_cl122, zip_derived_cl128, zip_derived_cl130,
% 5.10/1.36 zip_derived_cl131, zip_derived_cl154, zip_derived_cl155,
% 5.10/1.36 zip_derived_cl161])).
% 5.10/1.36 thf(zip_derived_cl227, plain,
% 5.10/1.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.36 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 5.10/1.36 X14 : $i, X15 : $i, X16 : $i, X17 : $i, X18 : $i, X19 : $i, X20 : $i,
% 5.10/1.36 X21 : $i]:
% 5.10/1.36 ( (ssPv24_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 5.10/1.36 | (ssPv9_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @
% 5.10/1.36 X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 5.10/1.36 X14 @ X15 @ X16 @ X17 @ X18 @ X19)
% 5.10/1.36 | ~ (ssPv12_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 5.10/1.36 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 5.10/1.36 X14 @ X15 @ X16)
% 5.10/1.36 | ~ (ssPv7_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @
% 5.10/1.36 X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @
% 5.10/1.36 X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21))),
% 5.10/1.36 inference('demod', [status(thm)],
% 5.10/1.36 [zip_derived_cl64, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.36 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.36 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.36 zip_derived_cl107, zip_derived_cl108, zip_derived_cl109,
% 5.10/1.36 zip_derived_cl110, zip_derived_cl114, zip_derived_cl116,
% 5.10/1.36 zip_derived_cl122, zip_derived_cl128, zip_derived_cl130,
% 5.10/1.36 zip_derived_cl131, zip_derived_cl154, zip_derived_cl155,
% 5.10/1.36 zip_derived_cl161, zip_derived_cl177])).
% 5.10/1.36 thf(zip_derived_cl228, plain,
% 5.10/1.36 (![X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i,
% 5.10/1.36 X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i, X14 : $i,
% 5.10/1.36 X15 : $i, X16 : $i, X17 : $i, X18 : $i, X19 : $i, X20 : $i]:
% 5.10/1.36 (~ (ssPv12_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X20 @ X19 @ X18 @
% 5.10/1.36 X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @
% 5.10/1.36 X6 @ X5 @ X4)
% 5.10/1.36 | (ssPv9_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X20 @ X19 @
% 5.10/1.36 X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @
% 5.10/1.36 X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1)
% 5.10/1.36 | (ssPv24_5r1r1r1r1r1 @ X20 @ X19 @ X18 @ X17 @ X16))),
% 5.10/1.36 inference('sup-', [status(thm)], [zip_derived_cl178, zip_derived_cl227])).
% 5.10/1.36 thf(zip_derived_cl237, plain,
% 5.10/1.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.36 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 5.10/1.36 X14 : $i, X15 : $i, X16 : $i]:
% 5.10/1.36 ( (ssPv24_5r1r1r1r1r1 @ X13 @ X12 @ X11 @ X10 @ X9)
% 5.10/1.36 | (ssPv9_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X13 @ X12 @
% 5.10/1.36 X11 @ X10 @ X9 @ skc44 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ skc38 @
% 5.10/1.36 X2 @ X1 @ skc33 @ X0 @ X16 @ X15 @ X14))),
% 5.10/1.36 inference('sup-', [status(thm)], [zip_derived_cl235, zip_derived_cl228])).
% 5.10/1.36 thf(clause55, conjecture,
% 5.10/1.36 (~( ( ssPv21_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) |
% 5.10/1.36 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 5.10/1.36 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 5.10/1.36 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 5.10/1.36 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 5.10/1.36 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 5.10/1.36 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 5.10/1.36 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 5.10/1.36 ( ~( ssPv22_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 5.10/1.36 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 5.10/1.36 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 5.10/1.36 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 5.10/1.36 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 5.10/1.36 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 5.10/1.36 ( ~( ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 5.10/1.36 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 5.10/1.36 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 5.10/1.36 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 5.10/1.36 ( ~( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 5.10/1.36 X9 @ X10 ) ) |
% 5.10/1.36 ( ~( ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 5.10/1.36 X9 @ X10 @ X11 ) ) |
% 5.10/1.36 ( ~( ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 5.10/1.36 X9 @ X10 @ X11 @ X12 ) ) |
% 5.10/1.36 ( ~( ssPv9_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 5.10/1.36 X9 @ X10 @ X11 @ X12 @ X13 @ X14 ) ) |
% 5.10/1.36 ( ~( ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 5.10/1.36 X9 @ X10 @ X11 @ X12 @ X13 ) ) ))).
% 5.10/1.36 thf(zf_stmt_37, negated_conjecture,
% 5.10/1.36 (( ssPv21_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) |
% 5.10/1.36 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 5.10/1.36 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 5.10/1.36 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 5.10/1.36 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 5.10/1.36 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 5.10/1.36 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 5.10/1.36 ( ~( ssPv22_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 5.10/1.36 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 5.10/1.36 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 5.10/1.36 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 5.10/1.36 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 5.10/1.36 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 5.10/1.36 ( ~( ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 5.10/1.36 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 5.10/1.36 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 5.10/1.36 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 5.10/1.36 ( ~( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 5.10/1.36 X10 ) ) |
% 5.10/1.36 ( ~( ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 5.10/1.36 X10 @ X11 ) ) |
% 5.10/1.36 ( ~( ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 5.10/1.36 X10 @ X11 @ X12 ) ) |
% 5.10/1.36 ( ~( ssPv9_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 5.10/1.36 X10 @ X11 @ X12 @ X13 @ X14 ) ) |
% 5.10/1.36 ( ~( ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 5.10/1.36 X10 @ X11 @ X12 @ X13 ) )),
% 5.10/1.36 inference('cnf.neg', [status(esa)], [clause55])).
% 5.10/1.36 thf(zip_derived_cl54, plain,
% 5.10/1.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.36 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 5.10/1.36 X14 : $i, X15 : $i, X16 : $i, X17 : $i, X18 : $i, X19 : $i]:
% 5.10/1.36 ( (ssPv21_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)
% 5.10/1.36 | ~ (ssNder1_0)
% 5.10/1.36 | ~ (ssNder1_1r1 @ X0)
% 5.10/1.36 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 5.10/1.36 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 5.10/1.36 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 5.10/1.36 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 5.10/1.36 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 5.10/1.36 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 5.10/1.36 | ~ (ssPv22_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 5.10/1.36 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 5.10/1.36 X7)
% 5.10/1.36 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 5.10/1.36 X6 @ X7 @ X8)
% 5.10/1.36 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 5.10/1.36 X6 @ X7 @ X8 @ X9)
% 5.10/1.36 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 5.10/1.36 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 5.10/1.36 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 5.10/1.36 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 5.10/1.36 | ~ (ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 5.10/1.36 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 5.10/1.36 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 5.10/1.36 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 5.10/1.36 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 5.10/1.36 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 5.10/1.36 | ~ (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 5.10/1.36 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 5.10/1.36 | ~ (ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 5.10/1.36 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 5.10/1.36 X14 @ X15)
% 5.10/1.36 | ~ (ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 5.10/1.36 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 5.10/1.36 X14 @ X15 @ X16)
% 5.10/1.36 | ~ (ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 5.10/1.36 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 5.10/1.36 X14 @ X15 @ X16 @ X17)
% 5.10/1.36 | ~ (ssPv9_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @
% 5.10/1.36 X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 5.10/1.36 X14 @ X15 @ X16 @ X17 @ X18 @ X19)
% 5.10/1.36 | ~ (ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @
% 5.10/1.36 X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 5.10/1.36 X14 @ X15 @ X16 @ X17 @ X18))),
% 5.10/1.36 inference('cnf', [status(esa)], [zf_stmt_37])).
% 5.10/1.36 thf(zip_derived_cl0, plain, ( (ssNder1_0)),
% 5.10/1.36 inference('cnf', [status(esa)], [zf_stmt_1])).
% 5.10/1.36 thf(zip_derived_cl92, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 5.10/1.36 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 5.10/1.36 thf(zip_derived_cl93, plain,
% 5.10/1.36 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 5.10/1.36 inference('demod', [status(thm)],
% 5.10/1.36 [zip_derived_cl2, zip_derived_cl0, zip_derived_cl92])).
% 5.10/1.36 thf(zip_derived_cl94, plain,
% 5.10/1.36 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 5.10/1.36 inference('demod', [status(thm)],
% 5.10/1.36 [zip_derived_cl3, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.36 zip_derived_cl93])).
% 5.10/1.36 thf(zip_derived_cl96, plain,
% 5.10/1.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 5.10/1.36 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 5.10/1.36 inference('demod', [status(thm)],
% 5.10/1.36 [zip_derived_cl4, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.36 zip_derived_cl93, zip_derived_cl94])).
% 5.10/1.36 thf(zip_derived_cl98, plain,
% 5.10/1.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 5.10/1.36 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 5.10/1.36 inference('demod', [status(thm)],
% 5.10/1.36 [zip_derived_cl7, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.36 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96])).
% 5.10/1.36 thf(zip_derived_cl101, plain,
% 5.10/1.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 5.10/1.36 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 5.10/1.36 inference('demod', [status(thm)],
% 5.10/1.36 [zip_derived_cl10, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.36 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.36 zip_derived_cl98])).
% 5.10/1.36 thf(zip_derived_cl105, plain,
% 5.10/1.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 5.10/1.36 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 5.10/1.36 inference('demod', [status(thm)],
% 5.10/1.36 [zip_derived_cl13, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.36 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.36 zip_derived_cl98, zip_derived_cl101])).
% 5.10/1.36 thf(zip_derived_cl107, plain,
% 5.10/1.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 5.10/1.36 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 5.10/1.36 inference('demod', [status(thm)],
% 5.10/1.36 [zip_derived_cl16, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.36 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.36 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105])).
% 5.10/1.36 thf(zip_derived_cl108, plain,
% 5.10/1.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.36 X7 : $i, X8 : $i]:
% 5.10/1.36 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 5.10/1.36 X7 @ X8)),
% 5.10/1.36 inference('demod', [status(thm)],
% 5.10/1.36 [zip_derived_cl17, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.36 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.36 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.36 zip_derived_cl107])).
% 5.10/1.36 thf(zip_derived_cl109, plain,
% 5.10/1.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.36 X7 : $i, X8 : $i, X9 : $i]:
% 5.10/1.36 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 5.10/1.36 X7 @ X8 @ X9)),
% 5.10/1.36 inference('demod', [status(thm)],
% 5.10/1.36 [zip_derived_cl18, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.36 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.36 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.36 zip_derived_cl107, zip_derived_cl108])).
% 5.10/1.36 thf(zip_derived_cl110, plain,
% 5.10/1.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.36 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 5.10/1.36 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 5.10/1.36 X6 @ X7 @ X8 @ X9 @ X10)),
% 5.10/1.36 inference('demod', [status(thm)],
% 5.10/1.36 [zip_derived_cl19, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.36 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.36 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.36 zip_derived_cl107, zip_derived_cl108, zip_derived_cl109])).
% 5.10/1.36 thf(zip_derived_cl114, plain,
% 5.10/1.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.36 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 5.10/1.36 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 5.10/1.36 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 5.10/1.36 inference('demod', [status(thm)],
% 5.10/1.36 [zip_derived_cl20, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.36 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.36 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.36 zip_derived_cl107, zip_derived_cl108, zip_derived_cl109,
% 5.10/1.36 zip_derived_cl110])).
% 5.10/1.36 thf(zip_derived_cl116, plain,
% 5.10/1.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.36 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 5.10/1.36 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 5.10/1.36 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 5.10/1.36 inference('demod', [status(thm)],
% 5.10/1.36 [zip_derived_cl25, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.36 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.36 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.36 zip_derived_cl107, zip_derived_cl108, zip_derived_cl109,
% 5.10/1.36 zip_derived_cl110, zip_derived_cl114])).
% 5.10/1.36 thf(zip_derived_cl122, plain,
% 5.10/1.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.36 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 5.10/1.36 (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 5.10/1.36 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)),
% 5.10/1.36 inference('demod', [status(thm)],
% 5.10/1.36 [zip_derived_cl30, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.36 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.36 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.36 zip_derived_cl107, zip_derived_cl108, zip_derived_cl109,
% 5.10/1.36 zip_derived_cl110, zip_derived_cl114, zip_derived_cl116])).
% 5.10/1.36 thf(zip_derived_cl128, plain,
% 5.10/1.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.36 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 5.10/1.36 X14 : $i]:
% 5.10/1.36 (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 5.10/1.36 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)),
% 5.10/1.36 inference('demod', [status(thm)],
% 5.10/1.36 [zip_derived_cl33, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.36 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.36 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.36 zip_derived_cl107, zip_derived_cl108, zip_derived_cl109,
% 5.10/1.36 zip_derived_cl110, zip_derived_cl114, zip_derived_cl116,
% 5.10/1.36 zip_derived_cl122])).
% 5.10/1.36 thf(zip_derived_cl130, plain,
% 5.10/1.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.36 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 5.10/1.36 X14 : $i, X15 : $i]:
% 5.10/1.36 (ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 5.10/1.36 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15)),
% 5.10/1.36 inference('demod', [status(thm)],
% 5.10/1.36 [zip_derived_cl37, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.36 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.36 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.36 zip_derived_cl107, zip_derived_cl108, zip_derived_cl109,
% 5.10/1.36 zip_derived_cl110, zip_derived_cl114, zip_derived_cl116,
% 5.10/1.36 zip_derived_cl122, zip_derived_cl128])).
% 5.10/1.36 thf(zip_derived_cl131, plain,
% 5.10/1.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.36 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 5.10/1.36 X14 : $i, X15 : $i, X16 : $i]:
% 5.10/1.36 (ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 5.10/1.36 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @
% 5.10/1.36 X16)),
% 5.10/1.36 inference('demod', [status(thm)],
% 5.10/1.36 [zip_derived_cl38, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.36 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.36 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.36 zip_derived_cl107, zip_derived_cl108, zip_derived_cl109,
% 5.10/1.36 zip_derived_cl110, zip_derived_cl114, zip_derived_cl116,
% 5.10/1.36 zip_derived_cl122, zip_derived_cl128, zip_derived_cl130])).
% 5.10/1.36 thf(zip_derived_cl154, plain,
% 5.10/1.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.36 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 5.10/1.36 X14 : $i, X15 : $i, X16 : $i, X17 : $i]:
% 5.10/1.36 (ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 5.10/1.36 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @
% 5.10/1.36 X15 @ X16 @ X17)),
% 5.10/1.36 inference('demod', [status(thm)],
% 5.10/1.36 [zip_derived_cl42, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.36 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.36 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.36 zip_derived_cl107, zip_derived_cl108, zip_derived_cl109,
% 5.10/1.36 zip_derived_cl110, zip_derived_cl114, zip_derived_cl116,
% 5.10/1.36 zip_derived_cl122, zip_derived_cl128, zip_derived_cl130,
% 5.10/1.36 zip_derived_cl131])).
% 5.10/1.36 thf(zip_derived_cl155, plain,
% 5.10/1.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.36 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 5.10/1.36 X14 : $i, X15 : $i, X16 : $i, X17 : $i, X18 : $i]:
% 5.10/1.36 (ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 5.10/1.36 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @
% 5.10/1.36 X15 @ X16 @ X17 @ X18)),
% 5.10/1.36 inference('demod', [status(thm)],
% 5.10/1.36 [zip_derived_cl44, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.36 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.36 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.36 zip_derived_cl107, zip_derived_cl108, zip_derived_cl109,
% 5.10/1.36 zip_derived_cl110, zip_derived_cl114, zip_derived_cl116,
% 5.10/1.36 zip_derived_cl122, zip_derived_cl128, zip_derived_cl130,
% 5.10/1.36 zip_derived_cl131, zip_derived_cl154])).
% 5.10/1.36 thf(zip_derived_cl176, plain,
% 5.10/1.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.36 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 5.10/1.36 X14 : $i, X15 : $i, X16 : $i, X17 : $i, X18 : $i, X19 : $i]:
% 5.10/1.36 ( (ssPv21_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)
% 5.10/1.36 | ~ (ssPv22_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 5.10/1.36 | ~ (ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 5.10/1.36 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 5.10/1.36 | ~ (ssPv9_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @
% 5.10/1.36 X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 5.10/1.36 X14 @ X15 @ X16 @ X17 @ X18 @ X19))),
% 5.10/1.36 inference('demod', [status(thm)],
% 5.10/1.36 [zip_derived_cl54, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.36 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.36 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.36 zip_derived_cl107, zip_derived_cl108, zip_derived_cl109,
% 5.10/1.36 zip_derived_cl110, zip_derived_cl114, zip_derived_cl116,
% 5.10/1.36 zip_derived_cl122, zip_derived_cl128, zip_derived_cl130,
% 5.10/1.36 zip_derived_cl131, zip_derived_cl154, zip_derived_cl155])).
% 5.10/1.36 thf(zip_derived_cl238, plain,
% 5.10/1.36 (![X6 : $i, X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i,
% 5.10/1.36 X13 : $i, X14 : $i, X15 : $i, X16 : $i]:
% 5.10/1.36 ( (ssPv24_5r1r1r1r1r1 @ X16 @ X15 @ X14 @ X13 @ X12)
% 5.10/1.36 | ~ (ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X16 @ X15 @ X14 @ X13 @
% 5.10/1.36 X12 @ skc44 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6)
% 5.10/1.36 | ~ (ssPv22_7r1r1r1r1r1r1r1 @ X16 @ X15 @ X14 @ X13 @ X12 @ skc44 @
% 5.10/1.36 X11)
% 5.10/1.36 | (ssPv21_8r1r1r1r1r1r1r1r1 @ X16 @ X15 @ X14 @ X13 @ X12 @ skc44 @
% 5.10/1.36 X11 @ X10))),
% 5.10/1.36 inference('sup-', [status(thm)], [zip_derived_cl237, zip_derived_cl176])).
% 5.10/1.36 thf(zip_derived_cl244, plain,
% 5.10/1.36 (![X4 : $i, X5 : $i, X6 : $i, X7 : $i, X8 : $i, X9 : $i, X10 : $i,
% 5.10/1.36 X11 : $i]:
% 5.10/1.36 ( (ssPv25_4r1r1r1r1 @ X10 @ X9 @ X8 @ X11)
% 5.10/1.36 | (ssPv21_8r1r1r1r1r1r1r1r1 @ X10 @ X9 @ X8 @ X7 @ X6 @ skc44 @
% 5.10/1.36 X5 @ X4)
% 5.10/1.36 | ~ (ssPv22_7r1r1r1r1r1r1r1 @ X10 @ X9 @ X8 @ X7 @ X6 @ skc44 @ X5)
% 5.10/1.36 | (ssPv24_5r1r1r1r1r1 @ X10 @ X9 @ X8 @ X7 @ X6))),
% 5.10/1.36 inference('sup-', [status(thm)], [zip_derived_cl143, zip_derived_cl238])).
% 5.10/1.36 thf(zip_derived_cl247, plain,
% 5.10/1.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 5.10/1.36 ( (ssPv24_5r1r1r1r1r1 @ X4 @ X3 @ X2 @ X1 @ X0)
% 5.10/1.36 | (ssPv21_8r1r1r1r1r1r1r1r1 @ X4 @ X3 @ X2 @ X1 @ X0 @ skc44 @
% 5.10/1.36 skc42 @ X5)
% 5.10/1.36 | (ssPv25_4r1r1r1r1 @ X4 @ X3 @ X2 @ X6))),
% 5.10/1.36 inference('sup-', [status(thm)], [zip_derived_cl103, zip_derived_cl244])).
% 5.10/1.36 thf(zip_derived_cl104, plain,
% 5.10/1.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 5.10/1.36 ~ (ssPv21_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ skc41)),
% 5.10/1.36 inference('demod', [status(thm)],
% 5.10/1.36 [zip_derived_cl15, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.36 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.36 zip_derived_cl98, zip_derived_cl101])).
% 5.10/1.36 thf(zip_derived_cl248, plain,
% 5.10/1.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 5.10/1.36 ( (ssPv25_4r1r1r1r1 @ X4 @ X3 @ X2 @ X5)
% 5.10/1.36 | (ssPv24_5r1r1r1r1r1 @ X4 @ X3 @ X2 @ X1 @ X0))),
% 5.10/1.36 inference('sup-', [status(thm)], [zip_derived_cl247, zip_derived_cl104])).
% 5.10/1.36 thf(clause7, conjecture,
% 5.10/1.36 (~( ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 5.10/1.36 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 5.10/1.36 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 5.10/1.36 ( ~( ssPv24_5r1r1r1r1r1 @ U @ V @ W @ X @ skc47 ) ) ))).
% 5.10/1.36 thf(zf_stmt_38, negated_conjecture,
% 5.10/1.36 (( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 5.10/1.36 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 5.10/1.36 ( ~( ssPv24_5r1r1r1r1r1 @ U @ V @ W @ X @ skc47 ) )),
% 5.10/1.36 inference('cnf.neg', [status(esa)], [clause7])).
% 5.10/1.36 thf(zip_derived_cl6, plain,
% 5.10/1.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 5.10/1.36 (~ (ssNder1_0)
% 5.10/1.36 | ~ (ssNder1_1r1 @ X0)
% 5.10/1.36 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 5.10/1.36 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 5.10/1.36 | ~ (ssPv24_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ skc47))),
% 5.10/1.36 inference('cnf', [status(esa)], [zf_stmt_38])).
% 5.10/1.36 thf(zip_derived_cl0, plain, ( (ssNder1_0)),
% 5.10/1.36 inference('cnf', [status(esa)], [zf_stmt_1])).
% 5.10/1.36 thf(zip_derived_cl92, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 5.10/1.36 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 5.10/1.36 thf(zip_derived_cl93, plain,
% 5.10/1.36 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 5.10/1.36 inference('demod', [status(thm)],
% 5.10/1.36 [zip_derived_cl2, zip_derived_cl0, zip_derived_cl92])).
% 5.10/1.36 thf(zip_derived_cl94, plain,
% 5.10/1.36 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 5.10/1.36 inference('demod', [status(thm)],
% 5.10/1.36 [zip_derived_cl3, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.36 zip_derived_cl93])).
% 5.10/1.36 thf(zip_derived_cl95, plain,
% 5.10/1.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 5.10/1.36 ~ (ssPv24_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ skc47)),
% 5.10/1.36 inference('demod', [status(thm)],
% 5.10/1.36 [zip_derived_cl6, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.36 zip_derived_cl93, zip_derived_cl94])).
% 5.10/1.36 thf(zip_derived_cl257, plain,
% 5.10/1.36 (![X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 5.10/1.36 (ssPv25_4r1r1r1r1 @ X3 @ X2 @ X1 @ X4)),
% 5.10/1.36 inference('sup-', [status(thm)], [zip_derived_cl248, zip_derived_cl95])).
% 5.10/1.36 thf(zip_derived_cl261, plain,
% 5.10/1.36 (![X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i, X14 : $i, X15 : $i,
% 5.10/1.36 X16 : $i]:
% 5.10/1.36 (ssPv20_9r1r1r1r1r1r1r1r1r1 @ X11 @ X10 @ X9 @ X16 @ X15 @ X14 @
% 5.10/1.36 X13 @ skc41 @ X12)),
% 5.10/1.36 inference('demod', [status(thm)], [zip_derived_cl218, zip_derived_cl257])).
% 5.10/1.36 thf(zip_derived_cl123, plain,
% 5.10/1.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.36 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 5.10/1.36 (ssPv14_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 5.10/1.36 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ skc34)),
% 5.10/1.36 inference('demod', [status(thm)],
% 5.10/1.36 [zip_derived_cl31, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.36 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.36 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.36 zip_derived_cl107, zip_derived_cl108, zip_derived_cl109,
% 5.10/1.36 zip_derived_cl110, zip_derived_cl114, zip_derived_cl116])).
% 5.10/1.36 thf(zip_derived_cl235, plain,
% 5.10/1.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.36 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 5.10/1.36 (ssPv12_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X10 @ X9 @ X8 @ X7 @
% 5.10/1.36 X6 @ skc44 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ skc38 @ X13 @ X12 @
% 5.10/1.36 skc33 @ X11)),
% 5.10/1.36 inference('sup-', [status(thm)], [zip_derived_cl115, zip_derived_cl234])).
% 5.10/1.36 thf(clause64, conjecture,
% 5.10/1.36 (~( ( ssPv19_10r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) |
% 5.10/1.36 ( ssPv7_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 5.10/1.36 X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 ) |
% 5.10/1.36 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 5.10/1.36 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 5.10/1.36 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 5.10/1.36 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 5.10/1.36 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 5.10/1.36 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 5.10/1.36 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 5.10/1.36 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 5.10/1.36 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 5.10/1.36 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 5.10/1.36 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 5.10/1.36 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 5.10/1.36 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 5.10/1.36 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 5.10/1.36 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 5.10/1.36 ( ~( ssPv14_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 5.10/1.36 ( ~( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 5.10/1.36 X9 @ X10 ) ) |
% 5.10/1.36 ( ~( ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 5.10/1.36 X9 @ X10 @ X11 ) ) |
% 5.10/1.36 ( ~( ssPv12_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 5.10/1.36 X9 @ X10 @ X11 ) ) |
% 5.10/1.36 ( ~( ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 5.10/1.36 X9 @ X10 @ X11 @ X12 ) ) |
% 5.10/1.36 ( ~( ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 5.10/1.36 X9 @ X10 @ X11 @ X12 @ X13 ) ) |
% 5.10/1.36 ( ~( ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 5.10/1.36 X9 @ X10 @ X11 @ X12 @ X13 @ X14 ) ) |
% 5.10/1.36 ( ~( ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 5.10/1.36 X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 ) ) ))).
% 5.10/1.36 thf(zf_stmt_39, negated_conjecture,
% 5.10/1.36 (( ssPv19_10r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) |
% 5.10/1.36 ( ssPv7_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 5.10/1.36 X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 ) |
% 5.10/1.36 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 5.10/1.36 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 5.10/1.36 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 5.10/1.36 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 5.10/1.36 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 5.10/1.36 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 5.10/1.36 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 5.10/1.36 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 5.10/1.36 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 5.10/1.36 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 5.10/1.36 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 5.10/1.36 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 5.10/1.36 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 5.10/1.36 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 5.10/1.36 ( ~( ssPv14_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 5.10/1.36 ( ~( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 5.10/1.36 X10 ) ) |
% 5.10/1.36 ( ~( ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 5.10/1.36 X10 @ X11 ) ) |
% 5.10/1.36 ( ~( ssPv12_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 5.10/1.36 X10 @ X11 ) ) |
% 5.10/1.36 ( ~( ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 5.10/1.36 X10 @ X11 @ X12 ) ) |
% 5.10/1.36 ( ~( ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 5.10/1.36 X10 @ X11 @ X12 @ X13 ) ) |
% 5.10/1.36 ( ~( ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 5.10/1.36 X10 @ X11 @ X12 @ X13 @ X14 ) ) |
% 5.10/1.36 ( ~( ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.36 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 5.10/1.36 X10 @ X11 @ X12 @ X13 @ X14 @ X15 ) )),
% 5.10/1.36 inference('cnf.neg', [status(esa)], [clause64])).
% 5.10/1.36 thf(zip_derived_cl63, plain,
% 5.10/1.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.36 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 5.10/1.36 X14 : $i, X15 : $i, X16 : $i, X17 : $i, X18 : $i, X19 : $i, X20 : $i,
% 5.10/1.36 X21 : $i]:
% 5.10/1.36 ( (ssPv19_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 5.10/1.36 X7 @ X8 @ X9)
% 5.10/1.36 | (ssPv7_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @
% 5.10/1.36 X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 5.10/1.36 X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21)
% 5.10/1.36 | ~ (ssNder1_0)
% 5.10/1.36 | ~ (ssNder1_1r1 @ X0)
% 5.10/1.36 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 5.10/1.36 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 5.10/1.36 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 5.10/1.36 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 5.10/1.36 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 5.10/1.36 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 5.10/1.36 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 5.10/1.36 X7)
% 5.10/1.36 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 5.10/1.36 X6 @ X7 @ X8)
% 5.10/1.36 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 5.10/1.36 X6 @ X7 @ X8 @ X9)
% 5.10/1.36 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 5.10/1.36 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 5.10/1.36 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 5.10/1.36 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 5.10/1.36 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 5.10/1.36 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 5.10/1.36 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 5.10/1.36 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 5.10/1.36 | ~ (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 5.10/1.36 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 5.10/1.36 | ~ (ssPv14_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 5.10/1.36 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 5.10/1.36 | ~ (ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 5.10/1.36 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 5.10/1.36 X14 @ X15)
% 5.10/1.36 | ~ (ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 5.10/1.36 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 5.10/1.36 X14 @ X15 @ X16)
% 5.10/1.36 | ~ (ssPv12_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 5.10/1.36 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 5.10/1.36 X14 @ X15 @ X16)
% 5.10/1.36 | ~ (ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 5.10/1.36 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 5.10/1.36 X14 @ X15 @ X16 @ X17)
% 5.10/1.36 | ~ (ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @
% 5.10/1.36 X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 5.10/1.36 X14 @ X15 @ X16 @ X17 @ X18)
% 5.10/1.36 | ~ (ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @
% 5.10/1.36 X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 5.10/1.36 X14 @ X15 @ X16 @ X17 @ X18 @ X19)
% 5.10/1.36 | ~ (ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @
% 5.10/1.36 X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @
% 5.10/1.36 X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20))),
% 5.10/1.36 inference('cnf', [status(esa)], [zf_stmt_39])).
% 5.10/1.36 thf(zip_derived_cl0, plain, ( (ssNder1_0)),
% 5.10/1.36 inference('cnf', [status(esa)], [zf_stmt_1])).
% 5.10/1.36 thf(zip_derived_cl92, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 5.10/1.36 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 5.10/1.36 thf(zip_derived_cl93, plain,
% 5.10/1.36 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 5.10/1.36 inference('demod', [status(thm)],
% 5.10/1.36 [zip_derived_cl2, zip_derived_cl0, zip_derived_cl92])).
% 5.10/1.36 thf(zip_derived_cl94, plain,
% 5.10/1.36 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 5.10/1.36 inference('demod', [status(thm)],
% 5.10/1.36 [zip_derived_cl3, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.36 zip_derived_cl93])).
% 5.10/1.36 thf(zip_derived_cl96, plain,
% 5.10/1.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 5.10/1.36 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 5.10/1.36 inference('demod', [status(thm)],
% 5.10/1.36 [zip_derived_cl4, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.36 zip_derived_cl93, zip_derived_cl94])).
% 5.10/1.36 thf(zip_derived_cl98, plain,
% 5.10/1.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 5.10/1.36 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 5.10/1.36 inference('demod', [status(thm)],
% 5.10/1.36 [zip_derived_cl7, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.36 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96])).
% 5.10/1.36 thf(zip_derived_cl101, plain,
% 5.10/1.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 5.10/1.36 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 5.10/1.36 inference('demod', [status(thm)],
% 5.10/1.36 [zip_derived_cl10, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.36 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.36 zip_derived_cl98])).
% 5.10/1.36 thf(zip_derived_cl105, plain,
% 5.10/1.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 5.10/1.36 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 5.10/1.36 inference('demod', [status(thm)],
% 5.10/1.36 [zip_derived_cl13, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.36 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.36 zip_derived_cl98, zip_derived_cl101])).
% 5.10/1.36 thf(zip_derived_cl107, plain,
% 5.10/1.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 5.10/1.36 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 5.10/1.36 inference('demod', [status(thm)],
% 5.10/1.36 [zip_derived_cl16, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.36 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.36 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105])).
% 5.10/1.36 thf(zip_derived_cl108, plain,
% 5.10/1.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.36 X7 : $i, X8 : $i]:
% 5.10/1.36 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 5.10/1.36 X7 @ X8)),
% 5.10/1.36 inference('demod', [status(thm)],
% 5.10/1.36 [zip_derived_cl17, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.36 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.36 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.36 zip_derived_cl107])).
% 5.10/1.36 thf(zip_derived_cl109, plain,
% 5.10/1.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.36 X7 : $i, X8 : $i, X9 : $i]:
% 5.10/1.36 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 5.10/1.36 X7 @ X8 @ X9)),
% 5.10/1.36 inference('demod', [status(thm)],
% 5.10/1.36 [zip_derived_cl18, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.36 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.36 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.36 zip_derived_cl107, zip_derived_cl108])).
% 5.10/1.36 thf(zip_derived_cl110, plain,
% 5.10/1.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.36 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 5.10/1.36 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 5.10/1.36 X6 @ X7 @ X8 @ X9 @ X10)),
% 5.10/1.36 inference('demod', [status(thm)],
% 5.10/1.36 [zip_derived_cl19, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.36 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.36 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.36 zip_derived_cl107, zip_derived_cl108, zip_derived_cl109])).
% 5.10/1.36 thf(zip_derived_cl114, plain,
% 5.10/1.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.36 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 5.10/1.36 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 5.10/1.36 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 5.10/1.36 inference('demod', [status(thm)],
% 5.10/1.36 [zip_derived_cl20, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.36 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.36 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.36 zip_derived_cl107, zip_derived_cl108, zip_derived_cl109,
% 5.10/1.36 zip_derived_cl110])).
% 5.10/1.37 thf(zip_derived_cl116, plain,
% 5.10/1.37 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.37 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 5.10/1.37 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 5.10/1.37 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 5.10/1.37 inference('demod', [status(thm)],
% 5.10/1.37 [zip_derived_cl25, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.37 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.37 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.37 zip_derived_cl107, zip_derived_cl108, zip_derived_cl109,
% 5.10/1.37 zip_derived_cl110, zip_derived_cl114])).
% 5.10/1.37 thf(zip_derived_cl122, plain,
% 5.10/1.37 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.37 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 5.10/1.37 (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 5.10/1.37 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)),
% 5.10/1.37 inference('demod', [status(thm)],
% 5.10/1.37 [zip_derived_cl30, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.37 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.37 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.37 zip_derived_cl107, zip_derived_cl108, zip_derived_cl109,
% 5.10/1.37 zip_derived_cl110, zip_derived_cl114, zip_derived_cl116])).
% 5.10/1.37 thf(zip_derived_cl128, plain,
% 5.10/1.37 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.37 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 5.10/1.37 X14 : $i]:
% 5.10/1.37 (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 5.10/1.37 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)),
% 5.10/1.37 inference('demod', [status(thm)],
% 5.10/1.37 [zip_derived_cl33, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.37 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.37 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.37 zip_derived_cl107, zip_derived_cl108, zip_derived_cl109,
% 5.10/1.37 zip_derived_cl110, zip_derived_cl114, zip_derived_cl116,
% 5.10/1.37 zip_derived_cl122])).
% 5.10/1.37 thf(zip_derived_cl130, plain,
% 5.10/1.37 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.37 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 5.10/1.37 X14 : $i, X15 : $i]:
% 5.10/1.37 (ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 5.10/1.37 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15)),
% 5.10/1.37 inference('demod', [status(thm)],
% 5.10/1.37 [zip_derived_cl37, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.37 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.37 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.37 zip_derived_cl107, zip_derived_cl108, zip_derived_cl109,
% 5.10/1.37 zip_derived_cl110, zip_derived_cl114, zip_derived_cl116,
% 5.10/1.37 zip_derived_cl122, zip_derived_cl128])).
% 5.10/1.37 thf(zip_derived_cl131, plain,
% 5.10/1.37 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.37 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 5.10/1.37 X14 : $i, X15 : $i, X16 : $i]:
% 5.10/1.37 (ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 5.10/1.37 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @
% 5.10/1.37 X16)),
% 5.10/1.37 inference('demod', [status(thm)],
% 5.10/1.37 [zip_derived_cl38, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.37 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.37 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.37 zip_derived_cl107, zip_derived_cl108, zip_derived_cl109,
% 5.10/1.37 zip_derived_cl110, zip_derived_cl114, zip_derived_cl116,
% 5.10/1.37 zip_derived_cl122, zip_derived_cl128, zip_derived_cl130])).
% 5.10/1.37 thf(zip_derived_cl154, plain,
% 5.10/1.37 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.37 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 5.10/1.37 X14 : $i, X15 : $i, X16 : $i, X17 : $i]:
% 5.10/1.37 (ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 5.10/1.37 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @
% 5.10/1.37 X15 @ X16 @ X17)),
% 5.10/1.37 inference('demod', [status(thm)],
% 5.10/1.37 [zip_derived_cl42, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.37 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.37 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.37 zip_derived_cl107, zip_derived_cl108, zip_derived_cl109,
% 5.10/1.37 zip_derived_cl110, zip_derived_cl114, zip_derived_cl116,
% 5.10/1.37 zip_derived_cl122, zip_derived_cl128, zip_derived_cl130,
% 5.10/1.37 zip_derived_cl131])).
% 5.10/1.37 thf(zip_derived_cl155, plain,
% 5.10/1.37 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.37 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 5.10/1.37 X14 : $i, X15 : $i, X16 : $i, X17 : $i, X18 : $i]:
% 5.10/1.37 (ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 5.10/1.37 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @
% 5.10/1.37 X15 @ X16 @ X17 @ X18)),
% 5.10/1.37 inference('demod', [status(thm)],
% 5.10/1.37 [zip_derived_cl44, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.37 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.37 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.37 zip_derived_cl107, zip_derived_cl108, zip_derived_cl109,
% 5.10/1.37 zip_derived_cl110, zip_derived_cl114, zip_derived_cl116,
% 5.10/1.37 zip_derived_cl122, zip_derived_cl128, zip_derived_cl130,
% 5.10/1.37 zip_derived_cl131, zip_derived_cl154])).
% 5.10/1.37 thf(zip_derived_cl161, plain,
% 5.10/1.37 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.37 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 5.10/1.37 X14 : $i, X15 : $i, X16 : $i, X17 : $i, X18 : $i, X19 : $i]:
% 5.10/1.37 (ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 5.10/1.37 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @
% 5.10/1.37 X15 @ X16 @ X17 @ X18 @ X19)),
% 5.10/1.37 inference('demod', [status(thm)],
% 5.10/1.37 [zip_derived_cl45, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.37 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.37 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.37 zip_derived_cl107, zip_derived_cl108, zip_derived_cl109,
% 5.10/1.37 zip_derived_cl110, zip_derived_cl114, zip_derived_cl116,
% 5.10/1.37 zip_derived_cl122, zip_derived_cl128, zip_derived_cl130,
% 5.10/1.37 zip_derived_cl131, zip_derived_cl154, zip_derived_cl155])).
% 5.10/1.37 thf(zip_derived_cl177, plain,
% 5.10/1.37 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.37 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 5.10/1.37 X14 : $i, X15 : $i, X16 : $i, X17 : $i, X18 : $i, X19 : $i, X20 : $i]:
% 5.10/1.37 (ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @
% 5.10/1.37 X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 5.10/1.37 X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20)),
% 5.10/1.37 inference('demod', [status(thm)],
% 5.10/1.37 [zip_derived_cl51, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.37 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.37 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.37 zip_derived_cl107, zip_derived_cl108, zip_derived_cl109,
% 5.10/1.37 zip_derived_cl110, zip_derived_cl114, zip_derived_cl116,
% 5.10/1.37 zip_derived_cl122, zip_derived_cl128, zip_derived_cl130,
% 5.10/1.37 zip_derived_cl131, zip_derived_cl154, zip_derived_cl155,
% 5.10/1.37 zip_derived_cl161])).
% 5.10/1.37 thf(zip_derived_cl222, plain,
% 5.10/1.37 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.37 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 5.10/1.37 X14 : $i, X15 : $i, X16 : $i, X17 : $i, X18 : $i, X19 : $i, X20 : $i,
% 5.10/1.37 X21 : $i]:
% 5.10/1.37 ( (ssPv19_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 5.10/1.37 X7 @ X8 @ X9)
% 5.10/1.37 | (ssPv7_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @
% 5.10/1.37 X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 5.10/1.37 X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21)
% 5.10/1.37 | ~ (ssPv14_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 5.10/1.37 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 5.10/1.37 | ~ (ssPv12_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 5.10/1.37 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 5.10/1.37 X14 @ X15 @ X16))),
% 5.10/1.37 inference('demod', [status(thm)],
% 5.10/1.37 [zip_derived_cl63, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.37 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.37 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.37 zip_derived_cl107, zip_derived_cl108, zip_derived_cl109,
% 5.10/1.37 zip_derived_cl110, zip_derived_cl114, zip_derived_cl116,
% 5.10/1.37 zip_derived_cl122, zip_derived_cl128, zip_derived_cl130,
% 5.10/1.37 zip_derived_cl131, zip_derived_cl154, zip_derived_cl155,
% 5.10/1.37 zip_derived_cl161, zip_derived_cl177])).
% 5.10/1.37 thf(zip_derived_cl236, plain,
% 5.10/1.37 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.37 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 5.10/1.37 X14 : $i, X15 : $i, X16 : $i, X17 : $i, X18 : $i]:
% 5.10/1.37 (~ (ssPv14_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X13 @ X12 @ X11 @ X10 @
% 5.10/1.37 X9 @ skc44 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ skc38 @ X2 @ X1)
% 5.10/1.37 | (ssPv7_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X13 @
% 5.10/1.37 X12 @ X11 @ X10 @ X9 @ skc44 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @
% 5.10/1.37 skc38 @ X2 @ X1 @ skc33 @ X0 @ X18 @ X17 @ X16 @ X15 @ X14)
% 5.10/1.37 | (ssPv19_10r1r1r1r1r1r1r1r1r1r1 @ X13 @ X12 @ X11 @ X10 @ X9 @
% 5.10/1.37 skc44 @ X8 @ X7 @ X6 @ X5))),
% 5.10/1.37 inference('sup-', [status(thm)], [zip_derived_cl235, zip_derived_cl222])).
% 5.10/1.37 thf(zip_derived_cl269, plain,
% 5.10/1.37 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.37 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 5.10/1.37 X14 : $i, X15 : $i, X16 : $i, X17 : $i]:
% 5.10/1.37 ( (ssPv19_10r1r1r1r1r1r1r1r1r1r1 @ X11 @ X10 @ X9 @ X8 @ X7 @ skc44 @
% 5.10/1.37 X6 @ X5 @ X4 @ X3)
% 5.10/1.37 | (ssPv7_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X11 @
% 5.10/1.37 X10 @ X9 @ X8 @ X7 @ skc44 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @
% 5.10/1.37 skc38 @ X0 @ skc34 @ skc33 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12))),
% 5.10/1.37 inference('sup-', [status(thm)], [zip_derived_cl123, zip_derived_cl236])).
% 5.10/1.37 thf(clause54, conjecture,
% 5.10/1.37 (~( ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 5.10/1.37 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 5.10/1.37 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 5.10/1.37 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 5.10/1.37 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 5.10/1.37 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 5.10/1.37 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 5.10/1.37 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 5.10/1.37 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 5.10/1.37 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.37 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 5.10/1.37 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.37 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 5.10/1.37 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.37 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 5.10/1.37 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.37 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 5.10/1.37 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.37 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 5.10/1.37 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.37 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 5.10/1.37 ( ~( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.37 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 5.10/1.37 X9 @ X10 ) ) |
% 5.10/1.37 ( ~( ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.37 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 5.10/1.37 X9 @ X10 @ X11 ) ) |
% 5.10/1.37 ( ~( ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.37 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 5.10/1.37 X9 @ X10 @ X11 @ X12 ) ) |
% 5.10/1.37 ( ~( ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.37 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 5.10/1.37 X9 @ X10 @ X11 @ X12 @ X13 ) ) |
% 5.10/1.37 ( ~( ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.37 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 5.10/1.37 X9 @ X10 @ X11 @ X12 @ X13 @ X14 ) ) |
% 5.10/1.37 ( ~( ssPv7_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.37 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 5.10/1.37 X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ skc29 ) ) ))).
% 5.10/1.37 thf(zf_stmt_40, negated_conjecture,
% 5.10/1.37 (( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 5.10/1.37 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 5.10/1.37 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 5.10/1.37 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 5.10/1.37 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 5.10/1.37 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 5.10/1.37 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 5.10/1.37 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 5.10/1.37 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.37 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 5.10/1.37 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.37 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 5.10/1.37 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.37 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 5.10/1.37 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.37 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 5.10/1.37 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.37 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 5.10/1.37 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.37 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 5.10/1.37 ( ~( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.37 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 5.10/1.37 X10 ) ) |
% 5.10/1.37 ( ~( ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.37 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 5.10/1.37 X10 @ X11 ) ) |
% 5.10/1.37 ( ~( ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.37 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 5.10/1.37 X10 @ X11 @ X12 ) ) |
% 5.10/1.37 ( ~( ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.37 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 5.10/1.37 X10 @ X11 @ X12 @ X13 ) ) |
% 5.10/1.37 ( ~( ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.37 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 5.10/1.37 X10 @ X11 @ X12 @ X13 @ X14 ) ) |
% 5.10/1.37 ( ~( ssPv7_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.37 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 5.10/1.37 X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ skc29 ) )),
% 5.10/1.37 inference('cnf.neg', [status(esa)], [clause54])).
% 5.10/1.37 thf(zip_derived_cl53, plain,
% 5.10/1.37 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.37 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 5.10/1.37 X14 : $i, X15 : $i, X16 : $i, X17 : $i, X18 : $i, X19 : $i, X20 : $i]:
% 5.10/1.37 (~ (ssNder1_0)
% 5.10/1.37 | ~ (ssNder1_1r1 @ X0)
% 5.10/1.37 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 5.10/1.37 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 5.10/1.37 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 5.10/1.37 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 5.10/1.37 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 5.10/1.37 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 5.10/1.37 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 5.10/1.37 X7)
% 5.10/1.37 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 5.10/1.37 X6 @ X7 @ X8)
% 5.10/1.37 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 5.10/1.37 X6 @ X7 @ X8 @ X9)
% 5.10/1.37 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 5.10/1.37 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 5.10/1.37 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 5.10/1.37 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 5.10/1.37 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 5.10/1.37 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 5.10/1.37 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 5.10/1.37 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 5.10/1.37 | ~ (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 5.10/1.37 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 5.10/1.37 | ~ (ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 5.10/1.37 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 5.10/1.37 X14 @ X15)
% 5.10/1.37 | ~ (ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 5.10/1.37 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 5.10/1.37 X14 @ X15 @ X16)
% 5.10/1.37 | ~ (ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 5.10/1.37 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 5.10/1.37 X14 @ X15 @ X16 @ X17)
% 5.10/1.37 | ~ (ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @
% 5.10/1.37 X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 5.10/1.37 X14 @ X15 @ X16 @ X17 @ X18)
% 5.10/1.37 | ~ (ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @
% 5.10/1.37 X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 5.10/1.37 X14 @ X15 @ X16 @ X17 @ X18 @ X19)
% 5.10/1.37 | ~ (ssPv7_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @
% 5.10/1.37 X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @
% 5.10/1.37 X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ skc29))),
% 5.10/1.37 inference('cnf', [status(esa)], [zf_stmt_40])).
% 5.10/1.37 thf(zip_derived_cl0, plain, ( (ssNder1_0)),
% 5.10/1.37 inference('cnf', [status(esa)], [zf_stmt_1])).
% 5.10/1.37 thf(zip_derived_cl92, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 5.10/1.37 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 5.10/1.37 thf(zip_derived_cl93, plain,
% 5.10/1.37 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 5.10/1.37 inference('demod', [status(thm)],
% 5.10/1.37 [zip_derived_cl2, zip_derived_cl0, zip_derived_cl92])).
% 5.10/1.37 thf(zip_derived_cl94, plain,
% 5.10/1.37 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 5.10/1.37 inference('demod', [status(thm)],
% 5.10/1.37 [zip_derived_cl3, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.37 zip_derived_cl93])).
% 5.10/1.37 thf(zip_derived_cl96, plain,
% 5.10/1.37 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 5.10/1.37 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 5.10/1.37 inference('demod', [status(thm)],
% 5.10/1.37 [zip_derived_cl4, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.37 zip_derived_cl93, zip_derived_cl94])).
% 5.10/1.37 thf(zip_derived_cl98, plain,
% 5.10/1.37 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 5.10/1.37 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 5.10/1.37 inference('demod', [status(thm)],
% 5.10/1.37 [zip_derived_cl7, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.37 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96])).
% 5.10/1.37 thf(zip_derived_cl101, plain,
% 5.10/1.37 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 5.10/1.37 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 5.10/1.37 inference('demod', [status(thm)],
% 5.10/1.37 [zip_derived_cl10, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.37 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.37 zip_derived_cl98])).
% 5.10/1.37 thf(zip_derived_cl105, plain,
% 5.10/1.37 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 5.10/1.37 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 5.10/1.37 inference('demod', [status(thm)],
% 5.10/1.37 [zip_derived_cl13, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.37 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.37 zip_derived_cl98, zip_derived_cl101])).
% 5.10/1.37 thf(zip_derived_cl107, plain,
% 5.10/1.37 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 5.10/1.37 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 5.10/1.37 inference('demod', [status(thm)],
% 5.10/1.37 [zip_derived_cl16, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.37 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.37 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105])).
% 5.10/1.37 thf(zip_derived_cl108, plain,
% 5.10/1.37 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.37 X7 : $i, X8 : $i]:
% 5.10/1.37 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 5.10/1.37 X7 @ X8)),
% 5.10/1.37 inference('demod', [status(thm)],
% 5.10/1.37 [zip_derived_cl17, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.37 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.37 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.37 zip_derived_cl107])).
% 5.10/1.37 thf(zip_derived_cl109, plain,
% 5.10/1.37 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.37 X7 : $i, X8 : $i, X9 : $i]:
% 5.10/1.37 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 5.10/1.37 X7 @ X8 @ X9)),
% 5.10/1.37 inference('demod', [status(thm)],
% 5.10/1.37 [zip_derived_cl18, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.37 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.37 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.37 zip_derived_cl107, zip_derived_cl108])).
% 5.10/1.37 thf(zip_derived_cl110, plain,
% 5.10/1.37 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.37 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 5.10/1.37 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 5.10/1.37 X6 @ X7 @ X8 @ X9 @ X10)),
% 5.10/1.37 inference('demod', [status(thm)],
% 5.10/1.37 [zip_derived_cl19, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.37 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.37 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.37 zip_derived_cl107, zip_derived_cl108, zip_derived_cl109])).
% 5.10/1.37 thf(zip_derived_cl114, plain,
% 5.10/1.37 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.37 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 5.10/1.37 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 5.10/1.37 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 5.10/1.37 inference('demod', [status(thm)],
% 5.10/1.37 [zip_derived_cl20, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.37 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.37 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.37 zip_derived_cl107, zip_derived_cl108, zip_derived_cl109,
% 5.10/1.37 zip_derived_cl110])).
% 5.10/1.37 thf(zip_derived_cl116, plain,
% 5.10/1.37 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.37 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 5.10/1.37 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 5.10/1.37 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 5.10/1.37 inference('demod', [status(thm)],
% 5.10/1.37 [zip_derived_cl25, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.37 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.37 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.37 zip_derived_cl107, zip_derived_cl108, zip_derived_cl109,
% 5.10/1.37 zip_derived_cl110, zip_derived_cl114])).
% 5.10/1.37 thf(zip_derived_cl122, plain,
% 5.10/1.37 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.37 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 5.10/1.37 (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 5.10/1.37 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)),
% 5.10/1.37 inference('demod', [status(thm)],
% 5.10/1.37 [zip_derived_cl30, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.37 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.37 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.37 zip_derived_cl107, zip_derived_cl108, zip_derived_cl109,
% 5.10/1.37 zip_derived_cl110, zip_derived_cl114, zip_derived_cl116])).
% 5.10/1.37 thf(zip_derived_cl128, plain,
% 5.10/1.37 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.37 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 5.10/1.37 X14 : $i]:
% 5.10/1.37 (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 5.10/1.37 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)),
% 5.10/1.37 inference('demod', [status(thm)],
% 5.10/1.37 [zip_derived_cl33, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.37 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.37 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.37 zip_derived_cl107, zip_derived_cl108, zip_derived_cl109,
% 5.10/1.37 zip_derived_cl110, zip_derived_cl114, zip_derived_cl116,
% 5.10/1.37 zip_derived_cl122])).
% 5.10/1.37 thf(zip_derived_cl130, plain,
% 5.10/1.37 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.37 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 5.10/1.37 X14 : $i, X15 : $i]:
% 5.10/1.37 (ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 5.10/1.37 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15)),
% 5.10/1.37 inference('demod', [status(thm)],
% 5.10/1.37 [zip_derived_cl37, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.37 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.37 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.37 zip_derived_cl107, zip_derived_cl108, zip_derived_cl109,
% 5.10/1.37 zip_derived_cl110, zip_derived_cl114, zip_derived_cl116,
% 5.10/1.37 zip_derived_cl122, zip_derived_cl128])).
% 5.10/1.37 thf(zip_derived_cl131, plain,
% 5.10/1.37 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.37 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 5.10/1.37 X14 : $i, X15 : $i, X16 : $i]:
% 5.10/1.37 (ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 5.10/1.37 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @
% 5.10/1.37 X16)),
% 5.10/1.37 inference('demod', [status(thm)],
% 5.10/1.37 [zip_derived_cl38, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.37 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.37 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.37 zip_derived_cl107, zip_derived_cl108, zip_derived_cl109,
% 5.10/1.37 zip_derived_cl110, zip_derived_cl114, zip_derived_cl116,
% 5.10/1.37 zip_derived_cl122, zip_derived_cl128, zip_derived_cl130])).
% 5.10/1.37 thf(zip_derived_cl154, plain,
% 5.10/1.37 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.37 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 5.10/1.37 X14 : $i, X15 : $i, X16 : $i, X17 : $i]:
% 5.10/1.37 (ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 5.10/1.37 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @
% 5.10/1.37 X15 @ X16 @ X17)),
% 5.10/1.37 inference('demod', [status(thm)],
% 5.10/1.37 [zip_derived_cl42, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.37 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.37 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.37 zip_derived_cl107, zip_derived_cl108, zip_derived_cl109,
% 5.10/1.37 zip_derived_cl110, zip_derived_cl114, zip_derived_cl116,
% 5.10/1.37 zip_derived_cl122, zip_derived_cl128, zip_derived_cl130,
% 5.10/1.37 zip_derived_cl131])).
% 5.10/1.37 thf(zip_derived_cl155, plain,
% 5.10/1.37 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.37 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 5.10/1.37 X14 : $i, X15 : $i, X16 : $i, X17 : $i, X18 : $i]:
% 5.10/1.37 (ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 5.10/1.37 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @
% 5.10/1.37 X15 @ X16 @ X17 @ X18)),
% 5.10/1.37 inference('demod', [status(thm)],
% 5.10/1.37 [zip_derived_cl44, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.37 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.37 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.37 zip_derived_cl107, zip_derived_cl108, zip_derived_cl109,
% 5.10/1.37 zip_derived_cl110, zip_derived_cl114, zip_derived_cl116,
% 5.10/1.37 zip_derived_cl122, zip_derived_cl128, zip_derived_cl130,
% 5.10/1.37 zip_derived_cl131, zip_derived_cl154])).
% 5.10/1.37 thf(zip_derived_cl161, plain,
% 5.10/1.37 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.37 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 5.10/1.37 X14 : $i, X15 : $i, X16 : $i, X17 : $i, X18 : $i, X19 : $i]:
% 5.10/1.37 (ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 5.10/1.37 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @
% 5.10/1.37 X15 @ X16 @ X17 @ X18 @ X19)),
% 5.10/1.37 inference('demod', [status(thm)],
% 5.10/1.37 [zip_derived_cl45, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.37 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.37 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.37 zip_derived_cl107, zip_derived_cl108, zip_derived_cl109,
% 5.10/1.37 zip_derived_cl110, zip_derived_cl114, zip_derived_cl116,
% 5.10/1.37 zip_derived_cl122, zip_derived_cl128, zip_derived_cl130,
% 5.10/1.37 zip_derived_cl131, zip_derived_cl154, zip_derived_cl155])).
% 5.10/1.37 thf(zip_derived_cl175, plain,
% 5.10/1.37 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.37 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 5.10/1.37 X14 : $i, X15 : $i, X16 : $i, X17 : $i, X18 : $i, X19 : $i, X20 : $i]:
% 5.10/1.37 ~ (ssPv7_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @
% 5.10/1.37 X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 5.10/1.37 X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ skc29)),
% 5.10/1.37 inference('demod', [status(thm)],
% 5.10/1.37 [zip_derived_cl53, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.37 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.37 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.37 zip_derived_cl107, zip_derived_cl108, zip_derived_cl109,
% 5.10/1.37 zip_derived_cl110, zip_derived_cl114, zip_derived_cl116,
% 5.10/1.37 zip_derived_cl122, zip_derived_cl128, zip_derived_cl130,
% 5.10/1.37 zip_derived_cl131, zip_derived_cl154, zip_derived_cl155,
% 5.10/1.37 zip_derived_cl161])).
% 5.10/1.37 thf(zip_derived_cl270, plain,
% 5.10/1.37 (![X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i, X14 : $i,
% 5.10/1.37 X15 : $i, X16 : $i]:
% 5.10/1.37 (ssPv19_10r1r1r1r1r1r1r1r1r1r1 @ X16 @ X15 @ X14 @ X13 @ X12 @
% 5.10/1.37 skc44 @ X11 @ X10 @ X9 @ X8)),
% 5.10/1.37 inference('sup-', [status(thm)], [zip_derived_cl269, zip_derived_cl175])).
% 5.10/1.37 thf(clause24, conjecture,
% 5.10/1.37 (~( ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 5.10/1.37 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 5.10/1.37 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 5.10/1.37 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 5.10/1.37 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 5.10/1.37 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 5.10/1.37 ( ~( ssPv23_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 5.10/1.37 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 5.10/1.37 ( ~( ssPv22_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 5.10/1.37 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 5.10/1.37 ( ~( ssPv19_10r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.37 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 5.10/1.37 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 5.10/1.37 ( ~( ssPv20_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) ))).
% 5.10/1.37 thf(zf_stmt_41, negated_conjecture,
% 5.10/1.37 (( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 5.10/1.37 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 5.10/1.37 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 5.10/1.37 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 5.10/1.37 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 5.10/1.37 ( ~( ssPv23_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 5.10/1.37 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 5.10/1.37 ( ~( ssPv22_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 5.10/1.37 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 5.10/1.37 ( ~( ssPv19_10r1r1r1r1r1r1r1r1r1r1 @
% 5.10/1.37 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 5.10/1.37 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 5.10/1.37 ( ~( ssPv20_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) )),
% 5.10/1.37 inference('cnf.neg', [status(esa)], [clause24])).
% 5.10/1.37 thf(zip_derived_cl23, plain,
% 5.10/1.37 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.37 X7 : $i, X8 : $i, X9 : $i]:
% 5.10/1.37 (~ (ssNder1_0)
% 5.10/1.37 | ~ (ssNder1_1r1 @ X0)
% 5.10/1.37 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 5.10/1.37 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 5.10/1.37 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 5.10/1.37 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 5.10/1.37 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 5.10/1.37 | ~ (ssPv23_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 5.10/1.37 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 5.10/1.37 | ~ (ssPv22_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 5.10/1.37 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 5.10/1.37 X7)
% 5.10/1.37 | ~ (ssPv19_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 5.10/1.37 X6 @ X7 @ X8 @ X9)
% 5.10/1.37 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 5.10/1.37 X6 @ X7 @ X8)
% 5.10/1.37 | ~ (ssPv20_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 5.10/1.37 X7 @ X8))),
% 5.10/1.37 inference('cnf', [status(esa)], [zf_stmt_41])).
% 5.10/1.37 thf(zip_derived_cl0, plain, ( (ssNder1_0)),
% 5.10/1.37 inference('cnf', [status(esa)], [zf_stmt_1])).
% 5.10/1.37 thf(zip_derived_cl92, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 5.10/1.37 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 5.10/1.37 thf(zip_derived_cl93, plain,
% 5.10/1.37 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 5.10/1.37 inference('demod', [status(thm)],
% 5.10/1.37 [zip_derived_cl2, zip_derived_cl0, zip_derived_cl92])).
% 5.10/1.37 thf(zip_derived_cl94, plain,
% 5.10/1.37 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 5.10/1.37 inference('demod', [status(thm)],
% 5.10/1.37 [zip_derived_cl3, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.37 zip_derived_cl93])).
% 5.10/1.37 thf(zip_derived_cl96, plain,
% 5.10/1.37 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 5.10/1.37 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 5.10/1.37 inference('demod', [status(thm)],
% 5.10/1.37 [zip_derived_cl4, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.37 zip_derived_cl93, zip_derived_cl94])).
% 5.10/1.37 thf(zip_derived_cl98, plain,
% 5.10/1.37 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 5.10/1.37 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 5.10/1.37 inference('demod', [status(thm)],
% 5.10/1.37 [zip_derived_cl7, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.37 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96])).
% 5.10/1.37 thf(zip_derived_cl101, plain,
% 5.10/1.37 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 5.10/1.37 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 5.10/1.37 inference('demod', [status(thm)],
% 5.10/1.37 [zip_derived_cl10, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.37 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.37 zip_derived_cl98])).
% 5.10/1.37 thf(zip_derived_cl105, plain,
% 5.10/1.37 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 5.10/1.37 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 5.10/1.37 inference('demod', [status(thm)],
% 5.10/1.37 [zip_derived_cl13, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.37 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.37 zip_derived_cl98, zip_derived_cl101])).
% 5.10/1.37 thf(zip_derived_cl107, plain,
% 5.10/1.37 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 5.10/1.37 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 5.10/1.37 inference('demod', [status(thm)],
% 5.10/1.37 [zip_derived_cl16, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.37 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.37 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105])).
% 5.10/1.37 thf(zip_derived_cl108, plain,
% 5.10/1.37 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.37 X7 : $i, X8 : $i]:
% 5.10/1.37 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 5.10/1.37 X7 @ X8)),
% 5.10/1.37 inference('demod', [status(thm)],
% 5.10/1.37 [zip_derived_cl17, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.37 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.37 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.37 zip_derived_cl107])).
% 5.10/1.37 thf(zip_derived_cl111, plain,
% 5.10/1.37 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.10/1.37 X7 : $i, X8 : $i, X9 : $i]:
% 5.10/1.37 (~ (ssPv23_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 5.10/1.37 | ~ (ssPv22_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 5.10/1.37 | ~ (ssPv19_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 5.10/1.37 X6 @ X7 @ X8 @ X9)
% 5.10/1.37 | ~ (ssPv20_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 5.10/1.37 X7 @ X8))),
% 5.10/1.37 inference('demod', [status(thm)],
% 5.10/1.37 [zip_derived_cl23, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.37 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96,
% 5.10/1.37 zip_derived_cl98, zip_derived_cl101, zip_derived_cl105,
% 5.10/1.37 zip_derived_cl107, zip_derived_cl108])).
% 5.10/1.37 thf(zip_derived_cl273, plain,
% 5.10/1.37 (![X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i, X8 : $i]:
% 5.10/1.37 (~ (ssPv20_9r1r1r1r1r1r1r1r1r1 @ X8 @ X7 @ X6 @ X5 @ X4 @ skc44 @
% 5.10/1.37 X3 @ X2 @ X1)
% 5.10/1.37 | ~ (ssPv22_7r1r1r1r1r1r1r1 @ X8 @ X7 @ X6 @ X5 @ X4 @ skc44 @ X3)
% 5.10/1.37 | ~ (ssPv23_6r1r1r1r1r1r1 @ X8 @ X7 @ X6 @ X5 @ X4 @ skc44))),
% 5.10/1.37 inference('sup-', [status(thm)], [zip_derived_cl270, zip_derived_cl111])).
% 5.10/1.37 thf(zip_derived_cl99, plain,
% 5.10/1.37 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 5.10/1.37 (ssPv23_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ skc44)),
% 5.10/1.37 inference('demod', [status(thm)],
% 5.10/1.37 [zip_derived_cl8, zip_derived_cl0, zip_derived_cl92,
% 5.10/1.37 zip_derived_cl93, zip_derived_cl94, zip_derived_cl96])).
% 5.10/1.37 thf(zip_derived_cl274, plain,
% 5.10/1.37 (![X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i, X8 : $i]:
% 5.10/1.37 (~ (ssPv20_9r1r1r1r1r1r1r1r1r1 @ X8 @ X7 @ X6 @ X5 @ X4 @ skc44 @
% 5.10/1.37 X3 @ X2 @ X1)
% 5.10/1.37 | ~ (ssPv22_7r1r1r1r1r1r1r1 @ X8 @ X7 @ X6 @ X5 @ X4 @ skc44 @ X3))),
% 5.10/1.37 inference('demod', [status(thm)], [zip_derived_cl273, zip_derived_cl99])).
% 5.10/1.37 thf(zip_derived_cl276, plain,
% 5.10/1.37 (![X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 5.10/1.37 ~ (ssPv22_7r1r1r1r1r1r1r1 @ X6 @ X5 @ X4 @ X3 @ X2 @ skc44 @ X1)),
% 5.10/1.37 inference('sup-', [status(thm)], [zip_derived_cl261, zip_derived_cl274])).
% 5.10/1.37 thf(zip_derived_cl277, plain, ($false),
% 5.10/1.37 inference('sup-', [status(thm)], [zip_derived_cl103, zip_derived_cl276])).
% 5.10/1.37
% 5.10/1.37 % SZS output end Refutation
% 5.10/1.37
% 5.10/1.37
% 5.10/1.37 % Terminating...
% 6.05/1.50 % Runner terminated.
% 6.05/1.52 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------