%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYN894-1 : TPTP v9.2.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.op1EVZIHIb true
% Computer : n012.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 05:05:56 PM UTC 2025
% Result : Unsatisfiable 3.98s 1.14s
% Output : Refutation 4.50s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10 % Problem : SYN894-1 : TPTP v9.2.0. Released v2.5.0.
% 0.02/0.10 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.op1EVZIHIb true
% 0.10/0.30 % Computer : n012.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Wed Oct 1 13:30:08 EDT 2025
% 0.10/0.31 % CPUTime :
% 0.10/0.31 % Running portfolio for 300 s
% 0.10/0.31 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.31 % Number of cores: 8
% 0.10/0.31 % Python version: Python 3.6.8
% 0.16/0.31 % Running in FO mode
% 0.46/0.55 % Total configuration time : 435
% 0.46/0.55 % Estimated wc time : 1092
% 0.46/0.55 % Estimated cpu time (7 cpus) : 156.0
% 0.46/0.66 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.46/0.66 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.46/0.67 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.46/0.67 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.46/0.67 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.46/0.67 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.46/0.67 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 3.98/1.14 % Solved by fo/fo5.sh.
% 3.98/1.14 % done 101 iterations in 0.361s
% 3.98/1.14 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 3.98/1.14 % SZS output start Refutation
% 3.98/1.14 thf(ssNder1_3r1r1r1_type, type, ssNder1_3r1r1r1: $i > $i > $i > $o).
% 3.98/1.14 thf(ssPv12_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssPv12_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 3.98/1.14 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i >
% 3.98/1.14 $i > $i > $i > $o).
% 3.98/1.14 thf(ssNder1_1r1_type, type, ssNder1_1r1: $i > $o).
% 3.98/1.14 thf(skc37_type, type, skc37: $i).
% 3.98/1.14 thf(ssPv15_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssPv15_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 3.98/1.14 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 3.98/1.14 thf(ssNder1_5r1r1r1r1r1_type, type, ssNder1_5r1r1r1r1r1: $i > $i > $i > $i >
% 3.98/1.14 $i > $o).
% 3.98/1.14 thf(ssNder1_8r1r1r1r1r1r1r1r1_type, type, ssNder1_8r1r1r1r1r1r1r1r1:
% 3.98/1.14 $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 3.98/1.14 thf(ssPv20_9r1r1r1r1r1r1r1r1r1_type, type, ssPv20_9r1r1r1r1r1r1r1r1r1:
% 3.98/1.14 $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 3.98/1.14 thf(ssNder1_10r1r1r1r1r1r1r1r1r1r1_type, type, ssNder1_10r1r1r1r1r1r1r1r1r1r1:
% 3.98/1.14 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 3.98/1.14 thf(ssPv13_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssPv13_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 3.98/1.14 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i >
% 3.98/1.14 $i > $i > $o).
% 3.98/1.14 thf(ssPv25_4r1r1r1r1_type, type, ssPv25_4r1r1r1r1: $i > $i > $i > $i > $o).
% 3.98/1.14 thf(ssNder1_11r1r1r1r1r1r1r1r1r1r1r1_type, type, ssNder1_11r1r1r1r1r1r1r1r1r1r1r1:
% 3.98/1.14 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 3.98/1.14 thf(skc46_type, type, skc46: $i).
% 3.98/1.14 thf(ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 3.98/1.14 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i >
% 3.98/1.14 $i > $i > $i > $i > $i > $i > $o).
% 3.98/1.14 thf(skc34_type, type, skc34: $i).
% 3.98/1.14 thf(ssPv8_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssPv8_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 3.98/1.14 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i >
% 3.98/1.14 $i > $i > $i > $i > $i > $i > $i > $o).
% 3.98/1.14 thf(ssNder1_6r1r1r1r1r1r1_type, type, ssNder1_6r1r1r1r1r1r1: $i > $i > $i >
% 3.98/1.14 $i > $i > $i > $o).
% 3.98/1.14 thf(skc40_type, type, skc40: $i).
% 3.98/1.14 thf(skc31_type, type, skc31: $i).
% 3.98/1.14 thf(ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 3.98/1.14 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 3.98/1.14 thf(ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 3.98/1.14 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i >
% 3.98/1.14 $i > $i > $i > $i > $i > $o).
% 3.98/1.14 thf(ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 3.98/1.14 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i >
% 3.98/1.14 $i > $i > $i > $o).
% 3.98/1.14 thf(ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 3.98/1.14 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i >
% 3.98/1.14 $i > $i > $i > $i > $o).
% 3.98/1.14 thf(ssPv10_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssPv10_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 3.98/1.14 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i >
% 3.98/1.14 $i > $i > $i > $i > $i > $o).
% 3.98/1.14 thf(ssNder1_7r1r1r1r1r1r1r1_type, type, ssNder1_7r1r1r1r1r1r1r1: $i > $i >
% 3.98/1.14 $i > $i >
% 3.98/1.14 $i > $i > $i > $o).
% 3.98/1.14 thf(ssNder1_9r1r1r1r1r1r1r1r1r1_type, type, ssNder1_9r1r1r1r1r1r1r1r1r1:
% 3.98/1.14 $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 3.98/1.14 thf(ssPv19_10r1r1r1r1r1r1r1r1r1r1_type, type, ssPv19_10r1r1r1r1r1r1r1r1r1r1:
% 3.98/1.14 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 3.98/1.14 thf(ssPv21_8r1r1r1r1r1r1r1r1_type, type, ssPv21_8r1r1r1r1r1r1r1r1: $i > $i >
% 3.98/1.14 $i > $i >
% 3.98/1.14 $i > $i >
% 3.98/1.14 $i > $i > $o).
% 3.98/1.14 thf(ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1:
% 3.98/1.14 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 3.98/1.14 thf(ssNder1_0_type, type, ssNder1_0: $o).
% 3.98/1.14 thf(ssNder1_4r1r1r1r1_type, type, ssNder1_4r1r1r1r1: $i > $i > $i > $i > $o).
% 3.98/1.14 thf(skc33_type, type, skc33: $i).
% 3.98/1.14 thf(ssPv14_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssPv14_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 3.98/1.14 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 3.98/1.14 thf(ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 3.98/1.14 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i >
% 3.98/1.14 $i > $i > $o).
% 3.98/1.14 thf(skc41_type, type, skc41: $i).
% 3.98/1.14 thf(ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 3.98/1.14 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 3.98/1.14 thf(ssPv24_5r1r1r1r1r1_type, type, ssPv24_5r1r1r1r1r1: $i > $i > $i > $i > $i > $o).
% 3.98/1.14 thf(ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 3.98/1.14 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 3.98/1.14 thf(ssNder1_2r1r1_type, type, ssNder1_2r1r1: $i > $i > $o).
% 3.98/1.14 thf(skc30_type, type, skc30: $i).
% 3.98/1.14 thf(clause15, conjecture,
% 3.98/1.14 (~( ( ssPv21_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ skc40 ) |
% 3.98/1.14 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 3.98/1.14 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 3.98/1.14 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 3.98/1.14 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 3.98/1.14 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 3.98/1.14 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) ))).
% 3.98/1.14 thf(zf_stmt_0, negated_conjecture,
% 3.98/1.14 (( ssPv21_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ skc40 ) |
% 3.98/1.14 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 3.98/1.14 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 3.98/1.14 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 3.98/1.14 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 3.98/1.14 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) )),
% 3.98/1.14 inference('cnf.neg', [status(esa)], [clause15])).
% 3.98/1.14 thf(zip_derived_cl14, plain,
% 3.98/1.14 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 3.98/1.14 ( (ssPv21_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ skc40)
% 3.98/1.14 | ~ (ssNder1_0)
% 3.98/1.14 | ~ (ssNder1_1r1 @ X0)
% 3.98/1.14 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 3.98/1.14 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 3.98/1.14 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 3.98/1.14 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 3.98/1.14 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5))),
% 3.98/1.14 inference('cnf', [status(esa)], [zf_stmt_0])).
% 3.98/1.14 thf(clause1, conjecture, (~( ssNder1_0 ))).
% 3.98/1.14 thf(zf_stmt_1, negated_conjecture, (ssNder1_0),
% 3.98/1.14 inference('cnf.neg', [status(esa)], [clause1])).
% 3.98/1.14 thf(zip_derived_cl0, plain, ( (ssNder1_0)),
% 3.98/1.14 inference('cnf', [status(esa)], [zf_stmt_1])).
% 3.98/1.14 thf(clause2, conjecture, (~( ( ssNder1_1r1 @ U ) | ( ~( ssNder1_0 ) ) ))).
% 3.98/1.14 thf(zf_stmt_2, negated_conjecture,
% 3.98/1.14 (( ssNder1_1r1 @ U ) | ( ~( ssNder1_0 ) )),
% 3.98/1.14 inference('cnf.neg', [status(esa)], [clause2])).
% 3.98/1.14 thf(zip_derived_cl1, plain,
% 3.98/1.14 (![X0 : $i]: ( (ssNder1_1r1 @ X0) | ~ (ssNder1_0))),
% 3.98/1.14 inference('cnf', [status(esa)], [zf_stmt_2])).
% 3.98/1.14 thf(zip_derived_cl0, plain, ( (ssNder1_0)),
% 3.98/1.14 inference('cnf', [status(esa)], [zf_stmt_1])).
% 3.98/1.14 thf(zip_derived_cl102, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 3.98/1.14 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 3.98/1.14 thf(clause3, conjecture,
% 3.98/1.14 (~( ( ssNder1_2r1r1 @ U @ V ) | ( ~( ssNder1_0 ) ) |
% 3.98/1.14 ( ~( ssNder1_1r1 @ U ) ) ))).
% 3.98/1.14 thf(zf_stmt_3, negated_conjecture,
% 3.98/1.14 (( ssNder1_2r1r1 @ U @ V ) | ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) )),
% 3.98/1.14 inference('cnf.neg', [status(esa)], [clause3])).
% 3.98/1.14 thf(zip_derived_cl2, plain,
% 3.98/1.14 (![X0 : $i, X1 : $i]:
% 3.98/1.14 ( (ssNder1_2r1r1 @ X0 @ X1) | ~ (ssNder1_0) | ~ (ssNder1_1r1 @ X0))),
% 3.98/1.14 inference('cnf', [status(esa)], [zf_stmt_3])).
% 3.98/1.14 thf(zip_derived_cl0, plain, ( (ssNder1_0)),
% 3.98/1.14 inference('cnf', [status(esa)], [zf_stmt_1])).
% 3.98/1.14 thf(zip_derived_cl102, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 3.98/1.14 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 3.98/1.14 thf(zip_derived_cl103, plain,
% 3.98/1.14 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 3.98/1.14 inference('demod', [status(thm)],
% 3.98/1.14 [zip_derived_cl2, zip_derived_cl0, zip_derived_cl102])).
% 3.98/1.14 thf(clause4, conjecture,
% 3.98/1.14 (~( ( ssNder1_3r1r1r1 @ U @ V @ W ) | ( ~( ssNder1_0 ) ) |
% 3.98/1.14 ( ~( ssNder1_1r1 @ U ) ) | ( ~( ssNder1_2r1r1 @ U @ V ) ) ))).
% 3.98/1.14 thf(zf_stmt_4, negated_conjecture,
% 3.98/1.14 (( ssNder1_3r1r1r1 @ U @ V @ W ) | ( ~( ssNder1_0 ) ) |
% 3.98/1.14 ( ~( ssNder1_1r1 @ U ) ) | ( ~( ssNder1_2r1r1 @ U @ V ) )),
% 3.98/1.14 inference('cnf.neg', [status(esa)], [clause4])).
% 3.98/1.14 thf(zip_derived_cl3, plain,
% 3.98/1.14 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.98/1.14 ( (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 3.98/1.14 | ~ (ssNder1_0)
% 3.98/1.14 | ~ (ssNder1_1r1 @ X0)
% 3.98/1.14 | ~ (ssNder1_2r1r1 @ X0 @ X1))),
% 3.98/1.14 inference('cnf', [status(esa)], [zf_stmt_4])).
% 3.98/1.14 thf(zip_derived_cl0, plain, ( (ssNder1_0)),
% 3.98/1.14 inference('cnf', [status(esa)], [zf_stmt_1])).
% 3.98/1.14 thf(zip_derived_cl102, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 3.98/1.14 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 3.98/1.14 thf(zip_derived_cl103, plain,
% 3.98/1.14 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 3.98/1.14 inference('demod', [status(thm)],
% 3.98/1.14 [zip_derived_cl2, zip_derived_cl0, zip_derived_cl102])).
% 3.98/1.14 thf(zip_derived_cl104, plain,
% 3.98/1.14 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 3.98/1.14 inference('demod', [status(thm)],
% 3.98/1.14 [zip_derived_cl3, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.14 zip_derived_cl103])).
% 3.98/1.14 thf(clause5, conjecture,
% 3.98/1.14 (~( ( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) | ( ~( ssNder1_0 ) ) |
% 3.98/1.14 ( ~( ssNder1_1r1 @ U ) ) | ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 3.98/1.14 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) ))).
% 3.98/1.14 thf(zf_stmt_5, negated_conjecture,
% 3.98/1.14 (( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) | ( ~( ssNder1_0 ) ) |
% 3.98/1.14 ( ~( ssNder1_1r1 @ U ) ) | ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 3.98/1.14 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) )),
% 3.98/1.14 inference('cnf.neg', [status(esa)], [clause5])).
% 3.98/1.14 thf(zip_derived_cl4, plain,
% 3.98/1.14 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 3.98/1.14 ( (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 3.98/1.14 | ~ (ssNder1_0)
% 3.98/1.14 | ~ (ssNder1_1r1 @ X0)
% 3.98/1.14 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 3.98/1.14 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2))),
% 3.98/1.14 inference('cnf', [status(esa)], [zf_stmt_5])).
% 3.98/1.14 thf(zip_derived_cl0, plain, ( (ssNder1_0)),
% 3.98/1.14 inference('cnf', [status(esa)], [zf_stmt_1])).
% 3.98/1.14 thf(zip_derived_cl102, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 3.98/1.14 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 3.98/1.14 thf(zip_derived_cl103, plain,
% 3.98/1.14 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 3.98/1.14 inference('demod', [status(thm)],
% 3.98/1.14 [zip_derived_cl2, zip_derived_cl0, zip_derived_cl102])).
% 3.98/1.14 thf(zip_derived_cl104, plain,
% 3.98/1.14 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 3.98/1.14 inference('demod', [status(thm)],
% 3.98/1.14 [zip_derived_cl3, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.14 zip_derived_cl103])).
% 3.98/1.14 thf(zip_derived_cl106, plain,
% 3.98/1.14 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 3.98/1.14 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 3.98/1.14 inference('demod', [status(thm)],
% 3.98/1.14 [zip_derived_cl4, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.14 zip_derived_cl103, zip_derived_cl104])).
% 3.98/1.14 thf(clause8, conjecture,
% 3.98/1.14 (~( ( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) | ( ~( ssNder1_0 ) ) |
% 3.98/1.14 ( ~( ssNder1_1r1 @ U ) ) | ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 3.98/1.14 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 3.98/1.14 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) ))).
% 3.98/1.14 thf(zf_stmt_6, negated_conjecture,
% 3.98/1.14 (( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) | ( ~( ssNder1_0 ) ) |
% 3.98/1.14 ( ~( ssNder1_1r1 @ U ) ) | ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 3.98/1.14 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 3.98/1.14 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) )),
% 3.98/1.14 inference('cnf.neg', [status(esa)], [clause8])).
% 3.98/1.14 thf(zip_derived_cl7, plain,
% 3.98/1.14 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 3.98/1.14 ( (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 3.98/1.14 | ~ (ssNder1_0)
% 3.98/1.14 | ~ (ssNder1_1r1 @ X0)
% 3.98/1.14 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 3.98/1.14 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 3.98/1.14 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3))),
% 3.98/1.14 inference('cnf', [status(esa)], [zf_stmt_6])).
% 3.98/1.14 thf(zip_derived_cl0, plain, ( (ssNder1_0)),
% 3.98/1.14 inference('cnf', [status(esa)], [zf_stmt_1])).
% 3.98/1.14 thf(zip_derived_cl102, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 3.98/1.14 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 3.98/1.14 thf(zip_derived_cl103, plain,
% 3.98/1.14 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 3.98/1.14 inference('demod', [status(thm)],
% 3.98/1.14 [zip_derived_cl2, zip_derived_cl0, zip_derived_cl102])).
% 3.98/1.14 thf(zip_derived_cl104, plain,
% 3.98/1.14 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 3.98/1.14 inference('demod', [status(thm)],
% 3.98/1.14 [zip_derived_cl3, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.14 zip_derived_cl103])).
% 3.98/1.14 thf(zip_derived_cl106, plain,
% 3.98/1.14 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 3.98/1.14 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 3.98/1.14 inference('demod', [status(thm)],
% 3.98/1.14 [zip_derived_cl4, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.14 zip_derived_cl103, zip_derived_cl104])).
% 3.98/1.14 thf(zip_derived_cl108, plain,
% 3.98/1.14 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 3.98/1.14 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 3.98/1.14 inference('demod', [status(thm)],
% 3.98/1.14 [zip_derived_cl7, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.14 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106])).
% 3.98/1.14 thf(clause11, conjecture,
% 3.98/1.14 (~( ( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) |
% 3.98/1.14 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 3.98/1.14 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 3.98/1.14 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 3.98/1.14 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 3.98/1.14 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) ))).
% 3.98/1.14 thf(zf_stmt_7, negated_conjecture,
% 3.98/1.14 (( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) | ( ~( ssNder1_0 ) ) |
% 3.98/1.14 ( ~( ssNder1_1r1 @ U ) ) | ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 3.98/1.14 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 3.98/1.14 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 3.98/1.14 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) )),
% 3.98/1.14 inference('cnf.neg', [status(esa)], [clause11])).
% 3.98/1.14 thf(zip_derived_cl10, plain,
% 3.98/1.14 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 3.98/1.14 ( (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 3.98/1.14 | ~ (ssNder1_0)
% 3.98/1.14 | ~ (ssNder1_1r1 @ X0)
% 3.98/1.14 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 3.98/1.14 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 3.98/1.14 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 3.98/1.14 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4))),
% 3.98/1.14 inference('cnf', [status(esa)], [zf_stmt_7])).
% 3.98/1.14 thf(zip_derived_cl0, plain, ( (ssNder1_0)),
% 3.98/1.14 inference('cnf', [status(esa)], [zf_stmt_1])).
% 3.98/1.14 thf(zip_derived_cl102, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 3.98/1.14 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 3.98/1.14 thf(zip_derived_cl103, plain,
% 3.98/1.14 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 3.98/1.14 inference('demod', [status(thm)],
% 3.98/1.14 [zip_derived_cl2, zip_derived_cl0, zip_derived_cl102])).
% 3.98/1.14 thf(zip_derived_cl104, plain,
% 3.98/1.14 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 3.98/1.14 inference('demod', [status(thm)],
% 3.98/1.14 [zip_derived_cl3, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.14 zip_derived_cl103])).
% 3.98/1.14 thf(zip_derived_cl106, plain,
% 3.98/1.14 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 3.98/1.14 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 3.98/1.14 inference('demod', [status(thm)],
% 3.98/1.14 [zip_derived_cl4, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.14 zip_derived_cl103, zip_derived_cl104])).
% 3.98/1.14 thf(zip_derived_cl108, plain,
% 3.98/1.14 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 3.98/1.14 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 3.98/1.14 inference('demod', [status(thm)],
% 3.98/1.14 [zip_derived_cl7, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.14 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106])).
% 3.98/1.14 thf(zip_derived_cl111, plain,
% 3.98/1.14 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 3.98/1.14 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 3.98/1.14 inference('demod', [status(thm)],
% 3.98/1.14 [zip_derived_cl10, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.14 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.14 zip_derived_cl108])).
% 3.98/1.14 thf(zip_derived_cl116, plain,
% 3.98/1.14 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 3.98/1.14 (ssPv21_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ skc40)),
% 3.98/1.14 inference('demod', [status(thm)],
% 3.98/1.14 [zip_derived_cl14, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.14 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.14 zip_derived_cl108, zip_derived_cl111])).
% 3.98/1.14 thf(clause6, conjecture,
% 3.98/1.14 (~( ( ssPv24_5r1r1r1r1r1 @ U @ V @ W @ X @ skc46 ) | ( ~( ssNder1_0 ) ) |
% 3.98/1.14 ( ~( ssNder1_1r1 @ U ) ) | ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 3.98/1.14 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) ))).
% 3.98/1.14 thf(zf_stmt_8, negated_conjecture,
% 3.98/1.14 (( ssPv24_5r1r1r1r1r1 @ U @ V @ W @ X @ skc46 ) | ( ~( ssNder1_0 ) ) |
% 3.98/1.14 ( ~( ssNder1_1r1 @ U ) ) | ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 3.98/1.14 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) )),
% 3.98/1.14 inference('cnf.neg', [status(esa)], [clause6])).
% 3.98/1.14 thf(zip_derived_cl5, plain,
% 3.98/1.14 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 3.98/1.14 ( (ssPv24_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ skc46)
% 3.98/1.14 | ~ (ssNder1_0)
% 3.98/1.14 | ~ (ssNder1_1r1 @ X0)
% 3.98/1.14 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 3.98/1.14 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2))),
% 3.98/1.14 inference('cnf', [status(esa)], [zf_stmt_8])).
% 3.98/1.14 thf(zip_derived_cl0, plain, ( (ssNder1_0)),
% 3.98/1.14 inference('cnf', [status(esa)], [zf_stmt_1])).
% 3.98/1.14 thf(zip_derived_cl102, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 3.98/1.14 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 3.98/1.14 thf(zip_derived_cl103, plain,
% 3.98/1.14 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 3.98/1.14 inference('demod', [status(thm)],
% 3.98/1.14 [zip_derived_cl2, zip_derived_cl0, zip_derived_cl102])).
% 3.98/1.14 thf(zip_derived_cl104, plain,
% 3.98/1.14 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 3.98/1.14 inference('demod', [status(thm)],
% 3.98/1.14 [zip_derived_cl3, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.14 zip_derived_cl103])).
% 3.98/1.14 thf(zip_derived_cl107, plain,
% 3.98/1.14 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 3.98/1.14 (ssPv24_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ skc46)),
% 3.98/1.14 inference('demod', [status(thm)],
% 3.98/1.14 [zip_derived_cl5, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.14 zip_derived_cl103, zip_derived_cl104])).
% 3.98/1.14 thf(clause43, conjecture,
% 3.98/1.14 (~( ( ssPv8_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.14 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 3.98/1.14 X10 @ X11 @ X12 @ X13 @ X14 @ skc30 ) |
% 3.98/1.14 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 3.98/1.14 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 3.98/1.14 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 3.98/1.14 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 3.98/1.14 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 3.98/1.14 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 3.98/1.14 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 3.98/1.14 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 3.98/1.14 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 3.98/1.14 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.14 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 3.98/1.14 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.14 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 3.98/1.14 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.14 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 3.98/1.14 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.14 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 3.98/1.14 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.14 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 3.98/1.14 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.14 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 3.98/1.14 ( ~( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.14 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 3.98/1.14 X9 @ X10 ) ) |
% 3.98/1.14 ( ~( ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.14 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 3.98/1.14 X9 @ X10 @ X11 ) ) |
% 3.98/1.14 ( ~( ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.14 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 3.98/1.14 X9 @ X10 @ X11 @ X12 ) ) |
% 3.98/1.14 ( ~( ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.14 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 3.98/1.14 X9 @ X10 @ X11 @ X12 @ X13 ) ) ))).
% 3.98/1.14 thf(zf_stmt_9, negated_conjecture,
% 3.98/1.14 (( ssPv8_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.14 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 3.98/1.14 X10 @ X11 @ X12 @ X13 @ X14 @ skc30 ) |
% 3.98/1.14 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 3.98/1.14 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 3.98/1.14 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 3.98/1.14 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 3.98/1.14 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 3.98/1.14 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 3.98/1.14 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 3.98/1.14 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 3.98/1.14 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.14 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 3.98/1.14 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.14 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 3.98/1.14 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.14 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 3.98/1.14 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.14 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 3.98/1.14 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.14 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 3.98/1.14 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.14 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 3.98/1.14 ( ~( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.14 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 3.98/1.14 X10 ) ) |
% 3.98/1.14 ( ~( ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.14 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 3.98/1.14 X10 @ X11 ) ) |
% 3.98/1.14 ( ~( ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.14 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 3.98/1.14 X10 @ X11 @ X12 ) ) |
% 3.98/1.14 ( ~( ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.14 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 3.98/1.14 X10 @ X11 @ X12 @ X13 ) )),
% 3.98/1.14 inference('cnf.neg', [status(esa)], [clause43])).
% 3.98/1.14 thf(zip_derived_cl42, plain,
% 3.98/1.14 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.98/1.14 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 3.98/1.14 X14 : $i, X15 : $i, X16 : $i, X17 : $i, X18 : $i, X19 : $i]:
% 3.98/1.14 ( (ssPv8_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @
% 3.98/1.14 X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 3.98/1.14 X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ skc30)
% 3.98/1.14 | ~ (ssNder1_0)
% 3.98/1.14 | ~ (ssNder1_1r1 @ X0)
% 3.98/1.14 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 3.98/1.14 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 3.98/1.14 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 3.98/1.14 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 3.98/1.14 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 3.98/1.14 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 3.98/1.14 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 3.98/1.14 X7)
% 3.98/1.14 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 3.98/1.14 X6 @ X7 @ X8)
% 3.98/1.14 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 3.98/1.14 X6 @ X7 @ X8 @ X9)
% 3.98/1.14 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.98/1.14 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 3.98/1.14 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.98/1.14 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 3.98/1.14 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.98/1.14 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 3.98/1.14 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 3.98/1.14 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 3.98/1.14 | ~ (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 3.98/1.14 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 3.98/1.14 | ~ (ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 3.98/1.14 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 3.98/1.14 X14 @ X15)
% 3.98/1.14 | ~ (ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 3.98/1.14 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 3.98/1.14 X14 @ X15 @ X16)
% 3.98/1.14 | ~ (ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 3.98/1.14 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 3.98/1.14 X14 @ X15 @ X16 @ X17)
% 3.98/1.14 | ~ (ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @
% 3.98/1.14 X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 3.98/1.14 X14 @ X15 @ X16 @ X17 @ X18))),
% 3.98/1.14 inference('cnf', [status(esa)], [zf_stmt_9])).
% 3.98/1.14 thf(zip_derived_cl0, plain, ( (ssNder1_0)),
% 3.98/1.14 inference('cnf', [status(esa)], [zf_stmt_1])).
% 3.98/1.14 thf(zip_derived_cl102, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 3.98/1.14 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 3.98/1.14 thf(zip_derived_cl103, plain,
% 3.98/1.14 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 3.98/1.14 inference('demod', [status(thm)],
% 3.98/1.14 [zip_derived_cl2, zip_derived_cl0, zip_derived_cl102])).
% 3.98/1.14 thf(zip_derived_cl104, plain,
% 3.98/1.14 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 3.98/1.14 inference('demod', [status(thm)],
% 3.98/1.14 [zip_derived_cl3, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.14 zip_derived_cl103])).
% 3.98/1.14 thf(zip_derived_cl106, plain,
% 3.98/1.14 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 3.98/1.14 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 3.98/1.14 inference('demod', [status(thm)],
% 3.98/1.14 [zip_derived_cl4, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.14 zip_derived_cl103, zip_derived_cl104])).
% 3.98/1.14 thf(zip_derived_cl108, plain,
% 3.98/1.14 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 3.98/1.14 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 3.98/1.14 inference('demod', [status(thm)],
% 3.98/1.14 [zip_derived_cl7, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.14 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106])).
% 3.98/1.14 thf(zip_derived_cl111, plain,
% 3.98/1.14 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 3.98/1.14 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 3.98/1.14 inference('demod', [status(thm)],
% 3.98/1.14 [zip_derived_cl10, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.14 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.14 zip_derived_cl108])).
% 3.98/1.14 thf(clause14, conjecture,
% 3.98/1.14 (~( ( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) |
% 3.98/1.14 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 3.98/1.14 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 3.98/1.14 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 3.98/1.14 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 3.98/1.14 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 3.98/1.14 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) ))).
% 3.98/1.14 thf(zf_stmt_10, negated_conjecture,
% 3.98/1.14 (( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) |
% 3.98/1.14 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 3.98/1.14 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 3.98/1.14 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 3.98/1.14 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 3.98/1.14 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) )),
% 3.98/1.14 inference('cnf.neg', [status(esa)], [clause14])).
% 3.98/1.14 thf(zip_derived_cl13, plain,
% 3.98/1.14 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 3.98/1.14 ( (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 3.98/1.14 | ~ (ssNder1_0)
% 3.98/1.14 | ~ (ssNder1_1r1 @ X0)
% 3.98/1.14 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 3.98/1.14 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 3.98/1.14 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 3.98/1.14 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 3.98/1.14 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5))),
% 3.98/1.14 inference('cnf', [status(esa)], [zf_stmt_10])).
% 3.98/1.14 thf(zip_derived_cl0, plain, ( (ssNder1_0)),
% 3.98/1.14 inference('cnf', [status(esa)], [zf_stmt_1])).
% 3.98/1.14 thf(zip_derived_cl102, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 3.98/1.14 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 3.98/1.14 thf(zip_derived_cl103, plain,
% 3.98/1.14 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 3.98/1.14 inference('demod', [status(thm)],
% 3.98/1.14 [zip_derived_cl2, zip_derived_cl0, zip_derived_cl102])).
% 3.98/1.14 thf(zip_derived_cl104, plain,
% 3.98/1.14 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 3.98/1.14 inference('demod', [status(thm)],
% 3.98/1.14 [zip_derived_cl3, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.14 zip_derived_cl103])).
% 3.98/1.14 thf(zip_derived_cl106, plain,
% 3.98/1.14 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 3.98/1.14 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 3.98/1.14 inference('demod', [status(thm)],
% 3.98/1.14 [zip_derived_cl4, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.14 zip_derived_cl103, zip_derived_cl104])).
% 3.98/1.14 thf(zip_derived_cl108, plain,
% 3.98/1.14 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 3.98/1.14 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 3.98/1.14 inference('demod', [status(thm)],
% 3.98/1.14 [zip_derived_cl7, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.14 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106])).
% 3.98/1.14 thf(zip_derived_cl111, plain,
% 3.98/1.14 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 3.98/1.14 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 3.98/1.14 inference('demod', [status(thm)],
% 3.98/1.14 [zip_derived_cl10, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.14 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.14 zip_derived_cl108])).
% 3.98/1.14 thf(zip_derived_cl115, plain,
% 3.98/1.14 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 3.98/1.14 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 3.98/1.14 inference('demod', [status(thm)],
% 3.98/1.14 [zip_derived_cl13, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.14 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.14 zip_derived_cl108, zip_derived_cl111])).
% 3.98/1.14 thf(clause17, conjecture,
% 3.98/1.14 (~( ( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) |
% 3.98/1.14 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 3.98/1.14 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 3.98/1.14 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 3.98/1.14 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 3.98/1.14 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 3.98/1.14 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 3.98/1.14 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) ))).
% 3.98/1.14 thf(zf_stmt_11, negated_conjecture,
% 3.98/1.14 (( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) |
% 3.98/1.14 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 3.98/1.14 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 3.98/1.14 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 3.98/1.14 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 3.98/1.14 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 3.98/1.14 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) )),
% 3.98/1.14 inference('cnf.neg', [status(esa)], [clause17])).
% 3.98/1.14 thf(zip_derived_cl16, plain,
% 3.98/1.14 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 3.98/1.14 ( (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)
% 3.98/1.14 | ~ (ssNder1_0)
% 3.98/1.14 | ~ (ssNder1_1r1 @ X0)
% 3.98/1.14 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 3.98/1.14 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 3.98/1.14 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 3.98/1.14 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 3.98/1.14 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 3.98/1.14 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6))),
% 3.98/1.14 inference('cnf', [status(esa)], [zf_stmt_11])).
% 3.98/1.14 thf(zip_derived_cl0, plain, ( (ssNder1_0)),
% 3.98/1.14 inference('cnf', [status(esa)], [zf_stmt_1])).
% 3.98/1.14 thf(zip_derived_cl102, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 3.98/1.14 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 3.98/1.14 thf(zip_derived_cl103, plain,
% 3.98/1.14 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 3.98/1.14 inference('demod', [status(thm)],
% 3.98/1.14 [zip_derived_cl2, zip_derived_cl0, zip_derived_cl102])).
% 3.98/1.14 thf(zip_derived_cl104, plain,
% 3.98/1.14 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 3.98/1.14 inference('demod', [status(thm)],
% 3.98/1.14 [zip_derived_cl3, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.14 zip_derived_cl103])).
% 3.98/1.14 thf(zip_derived_cl106, plain,
% 3.98/1.14 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 3.98/1.14 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 3.98/1.14 inference('demod', [status(thm)],
% 3.98/1.14 [zip_derived_cl4, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.14 zip_derived_cl103, zip_derived_cl104])).
% 3.98/1.14 thf(zip_derived_cl108, plain,
% 3.98/1.14 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 3.98/1.14 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 3.98/1.14 inference('demod', [status(thm)],
% 3.98/1.14 [zip_derived_cl7, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.14 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106])).
% 3.98/1.14 thf(zip_derived_cl111, plain,
% 3.98/1.14 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 3.98/1.14 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 3.98/1.14 inference('demod', [status(thm)],
% 3.98/1.14 [zip_derived_cl10, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.14 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.14 zip_derived_cl108])).
% 3.98/1.14 thf(zip_derived_cl115, plain,
% 3.98/1.14 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 3.98/1.14 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 3.98/1.14 inference('demod', [status(thm)],
% 3.98/1.14 [zip_derived_cl13, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.14 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.14 zip_derived_cl108, zip_derived_cl111])).
% 3.98/1.14 thf(zip_derived_cl117, plain,
% 3.98/1.14 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 3.98/1.14 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 3.98/1.14 inference('demod', [status(thm)],
% 3.98/1.14 [zip_derived_cl16, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.14 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.14 zip_derived_cl108, zip_derived_cl111, zip_derived_cl115])).
% 3.98/1.14 thf(clause18, conjecture,
% 3.98/1.14 (~( ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) |
% 3.98/1.14 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 3.98/1.14 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 3.98/1.14 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 3.98/1.14 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 3.98/1.14 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 3.98/1.14 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 3.98/1.14 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 3.98/1.14 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) ))).
% 3.98/1.14 thf(zf_stmt_12, negated_conjecture,
% 3.98/1.14 (( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) |
% 3.98/1.14 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 3.98/1.14 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 3.98/1.14 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 3.98/1.14 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 3.98/1.14 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 3.98/1.14 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 3.98/1.14 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) )),
% 3.98/1.14 inference('cnf.neg', [status(esa)], [clause18])).
% 3.98/1.14 thf(zip_derived_cl17, plain,
% 3.98/1.14 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.98/1.14 X7 : $i, X8 : $i]:
% 3.98/1.14 ( (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 3.98/1.14 X7 @ X8)
% 3.98/1.14 | ~ (ssNder1_0)
% 3.98/1.14 | ~ (ssNder1_1r1 @ X0)
% 3.98/1.14 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 3.98/1.14 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 3.98/1.14 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 3.98/1.14 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 3.98/1.14 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 3.98/1.14 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 3.98/1.14 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 3.98/1.14 X7))),
% 3.98/1.14 inference('cnf', [status(esa)], [zf_stmt_12])).
% 3.98/1.14 thf(zip_derived_cl0, plain, ( (ssNder1_0)),
% 3.98/1.14 inference('cnf', [status(esa)], [zf_stmt_1])).
% 3.98/1.14 thf(zip_derived_cl102, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 3.98/1.14 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 3.98/1.14 thf(zip_derived_cl103, plain,
% 3.98/1.14 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 3.98/1.14 inference('demod', [status(thm)],
% 3.98/1.14 [zip_derived_cl2, zip_derived_cl0, zip_derived_cl102])).
% 3.98/1.14 thf(zip_derived_cl104, plain,
% 3.98/1.14 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 3.98/1.14 inference('demod', [status(thm)],
% 3.98/1.14 [zip_derived_cl3, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.14 zip_derived_cl103])).
% 3.98/1.14 thf(zip_derived_cl106, plain,
% 3.98/1.14 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 3.98/1.14 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 3.98/1.14 inference('demod', [status(thm)],
% 3.98/1.14 [zip_derived_cl4, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.14 zip_derived_cl103, zip_derived_cl104])).
% 3.98/1.14 thf(zip_derived_cl108, plain,
% 3.98/1.14 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 3.98/1.14 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 3.98/1.14 inference('demod', [status(thm)],
% 3.98/1.14 [zip_derived_cl7, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.14 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106])).
% 3.98/1.14 thf(zip_derived_cl111, plain,
% 3.98/1.14 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 3.98/1.14 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 3.98/1.14 inference('demod', [status(thm)],
% 3.98/1.14 [zip_derived_cl10, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.14 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.14 zip_derived_cl108])).
% 3.98/1.14 thf(zip_derived_cl115, plain,
% 3.98/1.14 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 3.98/1.14 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 3.98/1.14 inference('demod', [status(thm)],
% 3.98/1.14 [zip_derived_cl13, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.14 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.14 zip_derived_cl108, zip_derived_cl111])).
% 3.98/1.14 thf(zip_derived_cl117, plain,
% 3.98/1.14 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 3.98/1.14 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 3.98/1.14 inference('demod', [status(thm)],
% 3.98/1.14 [zip_derived_cl16, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.14 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.14 zip_derived_cl108, zip_derived_cl111, zip_derived_cl115])).
% 3.98/1.14 thf(zip_derived_cl118, plain,
% 3.98/1.14 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.98/1.14 X7 : $i, X8 : $i]:
% 3.98/1.14 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 3.98/1.14 X7 @ X8)),
% 3.98/1.14 inference('demod', [status(thm)],
% 3.98/1.14 [zip_derived_cl17, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.14 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.14 zip_derived_cl108, zip_derived_cl111, zip_derived_cl115,
% 3.98/1.14 zip_derived_cl117])).
% 3.98/1.14 thf(clause19, conjecture,
% 3.98/1.14 (~( ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.14 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) |
% 3.98/1.14 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 3.98/1.14 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 3.98/1.14 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 3.98/1.14 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 3.98/1.14 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 3.98/1.14 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 3.98/1.14 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 3.98/1.14 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 3.98/1.14 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) ))).
% 3.98/1.14 thf(zf_stmt_13, negated_conjecture,
% 3.98/1.14 (( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.14 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) |
% 3.98/1.14 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 3.98/1.14 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 3.98/1.14 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 3.98/1.14 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 3.98/1.14 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 3.98/1.14 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 3.98/1.14 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 3.98/1.14 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) )),
% 3.98/1.14 inference('cnf.neg', [status(esa)], [clause19])).
% 3.98/1.14 thf(zip_derived_cl18, plain,
% 3.98/1.14 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.98/1.14 X7 : $i, X8 : $i, X9 : $i]:
% 3.98/1.14 ( (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 3.98/1.14 X6 @ X7 @ X8 @ X9)
% 3.98/1.14 | ~ (ssNder1_0)
% 3.98/1.14 | ~ (ssNder1_1r1 @ X0)
% 3.98/1.14 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 3.98/1.14 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 3.98/1.14 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 3.98/1.14 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 3.98/1.14 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 3.98/1.14 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 3.98/1.14 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 3.98/1.14 X7)
% 3.98/1.14 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 3.98/1.14 X6 @ X7 @ X8))),
% 3.98/1.14 inference('cnf', [status(esa)], [zf_stmt_13])).
% 3.98/1.14 thf(zip_derived_cl0, plain, ( (ssNder1_0)),
% 3.98/1.14 inference('cnf', [status(esa)], [zf_stmt_1])).
% 3.98/1.14 thf(zip_derived_cl102, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 3.98/1.14 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 3.98/1.14 thf(zip_derived_cl103, plain,
% 3.98/1.14 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 3.98/1.14 inference('demod', [status(thm)],
% 3.98/1.14 [zip_derived_cl2, zip_derived_cl0, zip_derived_cl102])).
% 3.98/1.14 thf(zip_derived_cl104, plain,
% 3.98/1.14 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 3.98/1.14 inference('demod', [status(thm)],
% 3.98/1.14 [zip_derived_cl3, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.14 zip_derived_cl103])).
% 3.98/1.14 thf(zip_derived_cl106, plain,
% 3.98/1.14 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 3.98/1.14 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 3.98/1.14 inference('demod', [status(thm)],
% 3.98/1.14 [zip_derived_cl4, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.14 zip_derived_cl103, zip_derived_cl104])).
% 3.98/1.14 thf(zip_derived_cl108, plain,
% 3.98/1.14 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 3.98/1.14 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 3.98/1.14 inference('demod', [status(thm)],
% 3.98/1.14 [zip_derived_cl7, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.14 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106])).
% 3.98/1.14 thf(zip_derived_cl111, plain,
% 3.98/1.14 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 3.98/1.14 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 3.98/1.14 inference('demod', [status(thm)],
% 3.98/1.14 [zip_derived_cl10, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.14 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.14 zip_derived_cl108])).
% 3.98/1.14 thf(zip_derived_cl115, plain,
% 3.98/1.14 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 3.98/1.14 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 3.98/1.14 inference('demod', [status(thm)],
% 3.98/1.14 [zip_derived_cl13, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.14 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.14 zip_derived_cl108, zip_derived_cl111])).
% 3.98/1.14 thf(zip_derived_cl117, plain,
% 3.98/1.14 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 3.98/1.14 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 3.98/1.14 inference('demod', [status(thm)],
% 3.98/1.14 [zip_derived_cl16, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.14 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.14 zip_derived_cl108, zip_derived_cl111, zip_derived_cl115])).
% 3.98/1.14 thf(zip_derived_cl118, plain,
% 3.98/1.14 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.98/1.14 X7 : $i, X8 : $i]:
% 3.98/1.14 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 3.98/1.14 X7 @ X8)),
% 3.98/1.14 inference('demod', [status(thm)],
% 3.98/1.14 [zip_derived_cl17, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.14 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.14 zip_derived_cl108, zip_derived_cl111, zip_derived_cl115,
% 3.98/1.14 zip_derived_cl117])).
% 3.98/1.14 thf(zip_derived_cl119, plain,
% 3.98/1.14 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.98/1.14 X7 : $i, X8 : $i, X9 : $i]:
% 3.98/1.14 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 3.98/1.14 X7 @ X8 @ X9)),
% 3.98/1.14 inference('demod', [status(thm)],
% 3.98/1.14 [zip_derived_cl18, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.14 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.14 zip_derived_cl108, zip_derived_cl111, zip_derived_cl115,
% 3.98/1.14 zip_derived_cl117, zip_derived_cl118])).
% 3.98/1.14 thf(clause20, conjecture,
% 3.98/1.14 (~( ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.14 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) |
% 3.98/1.14 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 3.98/1.14 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 3.98/1.14 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 3.98/1.14 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 3.98/1.14 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 3.98/1.14 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 3.98/1.14 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 3.98/1.14 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 3.98/1.14 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 3.98/1.14 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.14 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) ))).
% 3.98/1.14 thf(zf_stmt_14, negated_conjecture,
% 3.98/1.14 (( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.14 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) |
% 3.98/1.14 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 3.98/1.14 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 3.98/1.14 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 3.98/1.14 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 3.98/1.14 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 3.98/1.14 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 3.98/1.14 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 3.98/1.14 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 3.98/1.14 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.14 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) )),
% 3.98/1.14 inference('cnf.neg', [status(esa)], [clause20])).
% 3.98/1.14 thf(zip_derived_cl19, plain,
% 3.98/1.14 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.98/1.14 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 3.98/1.14 ( (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 3.98/1.14 X6 @ X7 @ X8 @ X9 @ X10)
% 3.98/1.14 | ~ (ssNder1_0)
% 3.98/1.14 | ~ (ssNder1_1r1 @ X0)
% 3.98/1.14 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 3.98/1.14 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 3.98/1.14 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 3.98/1.14 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 3.98/1.14 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 3.98/1.14 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 3.98/1.14 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 3.98/1.14 X7)
% 3.98/1.14 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 3.98/1.14 X6 @ X7 @ X8)
% 3.98/1.14 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 3.98/1.14 X6 @ X7 @ X8 @ X9))),
% 3.98/1.14 inference('cnf', [status(esa)], [zf_stmt_14])).
% 3.98/1.14 thf(zip_derived_cl0, plain, ( (ssNder1_0)),
% 3.98/1.14 inference('cnf', [status(esa)], [zf_stmt_1])).
% 3.98/1.14 thf(zip_derived_cl102, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 3.98/1.14 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 3.98/1.14 thf(zip_derived_cl103, plain,
% 3.98/1.14 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 3.98/1.14 inference('demod', [status(thm)],
% 3.98/1.14 [zip_derived_cl2, zip_derived_cl0, zip_derived_cl102])).
% 3.98/1.14 thf(zip_derived_cl104, plain,
% 3.98/1.14 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 3.98/1.14 inference('demod', [status(thm)],
% 3.98/1.14 [zip_derived_cl3, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.14 zip_derived_cl103])).
% 3.98/1.14 thf(zip_derived_cl106, plain,
% 3.98/1.14 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 3.98/1.14 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 3.98/1.14 inference('demod', [status(thm)],
% 3.98/1.14 [zip_derived_cl4, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.14 zip_derived_cl103, zip_derived_cl104])).
% 3.98/1.14 thf(zip_derived_cl108, plain,
% 3.98/1.14 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 3.98/1.14 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 3.98/1.14 inference('demod', [status(thm)],
% 3.98/1.14 [zip_derived_cl7, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.14 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106])).
% 3.98/1.14 thf(zip_derived_cl111, plain,
% 3.98/1.14 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 3.98/1.14 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 3.98/1.14 inference('demod', [status(thm)],
% 3.98/1.14 [zip_derived_cl10, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.14 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.14 zip_derived_cl108])).
% 3.98/1.14 thf(zip_derived_cl115, plain,
% 3.98/1.14 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 3.98/1.14 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 3.98/1.14 inference('demod', [status(thm)],
% 3.98/1.14 [zip_derived_cl13, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.14 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.14 zip_derived_cl108, zip_derived_cl111])).
% 3.98/1.14 thf(zip_derived_cl117, plain,
% 3.98/1.14 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 3.98/1.14 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 3.98/1.14 inference('demod', [status(thm)],
% 3.98/1.14 [zip_derived_cl16, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.14 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.14 zip_derived_cl108, zip_derived_cl111, zip_derived_cl115])).
% 3.98/1.14 thf(zip_derived_cl118, plain,
% 3.98/1.14 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.98/1.14 X7 : $i, X8 : $i]:
% 3.98/1.14 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 3.98/1.14 X7 @ X8)),
% 3.98/1.14 inference('demod', [status(thm)],
% 3.98/1.14 [zip_derived_cl17, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.14 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.14 zip_derived_cl108, zip_derived_cl111, zip_derived_cl115,
% 3.98/1.14 zip_derived_cl117])).
% 3.98/1.14 thf(zip_derived_cl119, plain,
% 3.98/1.14 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.98/1.14 X7 : $i, X8 : $i, X9 : $i]:
% 3.98/1.14 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 3.98/1.14 X7 @ X8 @ X9)),
% 3.98/1.14 inference('demod', [status(thm)],
% 3.98/1.14 [zip_derived_cl18, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.14 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.14 zip_derived_cl108, zip_derived_cl111, zip_derived_cl115,
% 3.98/1.14 zip_derived_cl117, zip_derived_cl118])).
% 3.98/1.14 thf(zip_derived_cl120, plain,
% 3.98/1.14 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.98/1.14 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 3.98/1.14 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 3.98/1.14 X6 @ X7 @ X8 @ X9 @ X10)),
% 3.98/1.14 inference('demod', [status(thm)],
% 3.98/1.14 [zip_derived_cl19, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.14 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.14 zip_derived_cl108, zip_derived_cl111, zip_derived_cl115,
% 3.98/1.14 zip_derived_cl117, zip_derived_cl118, zip_derived_cl119])).
% 3.98/1.14 thf(clause21, conjecture,
% 3.98/1.14 (~( ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.14 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) |
% 3.98/1.14 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 3.98/1.14 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 3.98/1.14 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 3.98/1.14 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 3.98/1.14 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 3.98/1.14 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 3.98/1.14 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 3.98/1.14 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 3.98/1.14 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 3.98/1.14 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.14 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 3.98/1.14 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.14 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) ))).
% 3.98/1.14 thf(zf_stmt_15, negated_conjecture,
% 3.98/1.14 (( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.14 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) |
% 3.98/1.14 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 3.98/1.14 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 3.98/1.14 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 3.98/1.14 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 3.98/1.14 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 3.98/1.14 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 3.98/1.14 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 3.98/1.14 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 3.98/1.14 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.14 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 3.98/1.14 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.14 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) )),
% 3.98/1.14 inference('cnf.neg', [status(esa)], [clause21])).
% 3.98/1.14 thf(zip_derived_cl20, plain,
% 3.98/1.14 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.98/1.14 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 3.98/1.14 ( (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 3.98/1.14 X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 3.98/1.14 | ~ (ssNder1_0)
% 3.98/1.14 | ~ (ssNder1_1r1 @ X0)
% 3.98/1.14 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 3.98/1.14 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 3.98/1.14 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 3.98/1.14 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 3.98/1.14 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 3.98/1.14 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 3.98/1.14 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 3.98/1.14 X7)
% 3.98/1.14 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 3.98/1.14 X6 @ X7 @ X8)
% 3.98/1.14 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 3.98/1.14 X6 @ X7 @ X8 @ X9)
% 3.98/1.14 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.98/1.14 X5 @ X6 @ X7 @ X8 @ X9 @ X10))),
% 3.98/1.14 inference('cnf', [status(esa)], [zf_stmt_15])).
% 3.98/1.14 thf(zip_derived_cl0, plain, ( (ssNder1_0)),
% 3.98/1.14 inference('cnf', [status(esa)], [zf_stmt_1])).
% 3.98/1.14 thf(zip_derived_cl102, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 3.98/1.14 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 3.98/1.14 thf(zip_derived_cl103, plain,
% 3.98/1.14 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 3.98/1.14 inference('demod', [status(thm)],
% 3.98/1.14 [zip_derived_cl2, zip_derived_cl0, zip_derived_cl102])).
% 3.98/1.14 thf(zip_derived_cl104, plain,
% 3.98/1.14 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 3.98/1.14 inference('demod', [status(thm)],
% 3.98/1.14 [zip_derived_cl3, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.14 zip_derived_cl103])).
% 3.98/1.14 thf(zip_derived_cl106, plain,
% 3.98/1.14 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 3.98/1.14 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 3.98/1.14 inference('demod', [status(thm)],
% 3.98/1.14 [zip_derived_cl4, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.14 zip_derived_cl103, zip_derived_cl104])).
% 3.98/1.14 thf(zip_derived_cl108, plain,
% 3.98/1.14 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 3.98/1.14 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 3.98/1.14 inference('demod', [status(thm)],
% 3.98/1.14 [zip_derived_cl7, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.14 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106])).
% 3.98/1.14 thf(zip_derived_cl111, plain,
% 3.98/1.14 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 3.98/1.14 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 3.98/1.14 inference('demod', [status(thm)],
% 3.98/1.14 [zip_derived_cl10, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.14 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.14 zip_derived_cl108])).
% 3.98/1.14 thf(zip_derived_cl115, plain,
% 3.98/1.14 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 3.98/1.14 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 3.98/1.14 inference('demod', [status(thm)],
% 3.98/1.14 [zip_derived_cl13, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.14 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.14 zip_derived_cl108, zip_derived_cl111])).
% 3.98/1.14 thf(zip_derived_cl117, plain,
% 3.98/1.14 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 3.98/1.14 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 3.98/1.14 inference('demod', [status(thm)],
% 3.98/1.14 [zip_derived_cl16, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.14 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.14 zip_derived_cl108, zip_derived_cl111, zip_derived_cl115])).
% 3.98/1.14 thf(zip_derived_cl118, plain,
% 3.98/1.14 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.98/1.14 X7 : $i, X8 : $i]:
% 3.98/1.14 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 3.98/1.14 X7 @ X8)),
% 3.98/1.14 inference('demod', [status(thm)],
% 3.98/1.14 [zip_derived_cl17, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.14 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.14 zip_derived_cl108, zip_derived_cl111, zip_derived_cl115,
% 3.98/1.14 zip_derived_cl117])).
% 3.98/1.14 thf(zip_derived_cl119, plain,
% 3.98/1.14 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.98/1.14 X7 : $i, X8 : $i, X9 : $i]:
% 3.98/1.14 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 3.98/1.14 X7 @ X8 @ X9)),
% 3.98/1.14 inference('demod', [status(thm)],
% 3.98/1.14 [zip_derived_cl18, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.14 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.14 zip_derived_cl108, zip_derived_cl111, zip_derived_cl115,
% 3.98/1.14 zip_derived_cl117, zip_derived_cl118])).
% 3.98/1.14 thf(zip_derived_cl120, plain,
% 3.98/1.14 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.98/1.14 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 3.98/1.14 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 3.98/1.14 X6 @ X7 @ X8 @ X9 @ X10)),
% 3.98/1.14 inference('demod', [status(thm)],
% 3.98/1.14 [zip_derived_cl19, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.14 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.14 zip_derived_cl108, zip_derived_cl111, zip_derived_cl115,
% 3.98/1.14 zip_derived_cl117, zip_derived_cl118, zip_derived_cl119])).
% 3.98/1.14 thf(zip_derived_cl122, plain,
% 3.98/1.14 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.98/1.14 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 3.98/1.14 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 3.98/1.14 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 3.98/1.14 inference('demod', [status(thm)],
% 3.98/1.14 [zip_derived_cl20, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.14 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.14 zip_derived_cl108, zip_derived_cl111, zip_derived_cl115,
% 3.98/1.14 zip_derived_cl117, zip_derived_cl118, zip_derived_cl119,
% 3.98/1.14 zip_derived_cl120])).
% 3.98/1.14 thf(clause24, conjecture,
% 3.98/1.14 (~( ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.14 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) |
% 3.98/1.14 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 3.98/1.14 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 3.98/1.14 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 3.98/1.14 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 3.98/1.14 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 3.98/1.14 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 3.98/1.14 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 3.98/1.14 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 3.98/1.14 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 3.98/1.14 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.14 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 3.98/1.14 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.14 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 3.98/1.14 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.14 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) ))).
% 3.98/1.14 thf(zf_stmt_16, negated_conjecture,
% 3.98/1.14 (( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.14 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) |
% 3.98/1.14 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 3.98/1.14 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 3.98/1.14 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 3.98/1.14 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 3.98/1.14 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 3.98/1.14 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 3.98/1.14 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 3.98/1.14 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 3.98/1.14 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.14 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 3.98/1.14 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.14 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 3.98/1.14 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.14 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) )),
% 3.98/1.14 inference('cnf.neg', [status(esa)], [clause24])).
% 3.98/1.14 thf(zip_derived_cl23, plain,
% 3.98/1.14 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.98/1.14 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 3.98/1.14 ( (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.98/1.14 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 3.98/1.14 | ~ (ssNder1_0)
% 3.98/1.14 | ~ (ssNder1_1r1 @ X0)
% 3.98/1.14 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 3.98/1.14 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 3.98/1.14 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 3.98/1.14 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 3.98/1.14 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 3.98/1.14 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 3.98/1.14 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 3.98/1.14 X7)
% 3.98/1.14 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 3.98/1.14 X6 @ X7 @ X8)
% 3.98/1.14 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 3.98/1.14 X6 @ X7 @ X8 @ X9)
% 3.98/1.14 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.98/1.14 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 3.98/1.14 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.98/1.14 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11))),
% 3.98/1.14 inference('cnf', [status(esa)], [zf_stmt_16])).
% 3.98/1.14 thf(zip_derived_cl0, plain, ( (ssNder1_0)),
% 3.98/1.14 inference('cnf', [status(esa)], [zf_stmt_1])).
% 3.98/1.14 thf(zip_derived_cl102, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 3.98/1.14 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 3.98/1.14 thf(zip_derived_cl103, plain,
% 3.98/1.14 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 3.98/1.14 inference('demod', [status(thm)],
% 3.98/1.14 [zip_derived_cl2, zip_derived_cl0, zip_derived_cl102])).
% 3.98/1.14 thf(zip_derived_cl104, plain,
% 3.98/1.14 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 3.98/1.14 inference('demod', [status(thm)],
% 3.98/1.14 [zip_derived_cl3, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.14 zip_derived_cl103])).
% 3.98/1.14 thf(zip_derived_cl106, plain,
% 3.98/1.14 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 3.98/1.14 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 3.98/1.14 inference('demod', [status(thm)],
% 3.98/1.14 [zip_derived_cl4, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.14 zip_derived_cl103, zip_derived_cl104])).
% 3.98/1.14 thf(zip_derived_cl108, plain,
% 3.98/1.14 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 3.98/1.14 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 3.98/1.14 inference('demod', [status(thm)],
% 3.98/1.14 [zip_derived_cl7, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.14 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106])).
% 3.98/1.14 thf(zip_derived_cl111, plain,
% 3.98/1.14 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 3.98/1.14 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 3.98/1.14 inference('demod', [status(thm)],
% 3.98/1.14 [zip_derived_cl10, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.14 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.14 zip_derived_cl108])).
% 3.98/1.14 thf(zip_derived_cl115, plain,
% 3.98/1.14 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 3.98/1.14 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 3.98/1.14 inference('demod', [status(thm)],
% 3.98/1.14 [zip_derived_cl13, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.14 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.14 zip_derived_cl108, zip_derived_cl111])).
% 3.98/1.14 thf(zip_derived_cl117, plain,
% 3.98/1.14 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 3.98/1.14 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 3.98/1.14 inference('demod', [status(thm)],
% 3.98/1.14 [zip_derived_cl16, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.14 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.14 zip_derived_cl108, zip_derived_cl111, zip_derived_cl115])).
% 3.98/1.14 thf(zip_derived_cl118, plain,
% 3.98/1.14 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.98/1.14 X7 : $i, X8 : $i]:
% 3.98/1.14 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 3.98/1.14 X7 @ X8)),
% 3.98/1.14 inference('demod', [status(thm)],
% 3.98/1.14 [zip_derived_cl17, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.14 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.14 zip_derived_cl108, zip_derived_cl111, zip_derived_cl115,
% 3.98/1.14 zip_derived_cl117])).
% 3.98/1.14 thf(zip_derived_cl119, plain,
% 3.98/1.14 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.98/1.14 X7 : $i, X8 : $i, X9 : $i]:
% 3.98/1.14 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 3.98/1.14 X7 @ X8 @ X9)),
% 3.98/1.14 inference('demod', [status(thm)],
% 3.98/1.14 [zip_derived_cl18, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.14 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.14 zip_derived_cl108, zip_derived_cl111, zip_derived_cl115,
% 3.98/1.14 zip_derived_cl117, zip_derived_cl118])).
% 3.98/1.14 thf(zip_derived_cl120, plain,
% 3.98/1.14 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.98/1.14 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 3.98/1.14 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 3.98/1.14 X6 @ X7 @ X8 @ X9 @ X10)),
% 3.98/1.14 inference('demod', [status(thm)],
% 3.98/1.14 [zip_derived_cl19, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.14 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.14 zip_derived_cl108, zip_derived_cl111, zip_derived_cl115,
% 3.98/1.14 zip_derived_cl117, zip_derived_cl118, zip_derived_cl119])).
% 3.98/1.14 thf(zip_derived_cl122, plain,
% 3.98/1.14 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.98/1.14 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 3.98/1.14 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 3.98/1.14 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 3.98/1.14 inference('demod', [status(thm)],
% 3.98/1.14 [zip_derived_cl20, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.14 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.14 zip_derived_cl108, zip_derived_cl111, zip_derived_cl115,
% 3.98/1.14 zip_derived_cl117, zip_derived_cl118, zip_derived_cl119,
% 3.98/1.14 zip_derived_cl120])).
% 3.98/1.14 thf(zip_derived_cl125, plain,
% 3.98/1.14 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.98/1.14 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 3.98/1.14 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.98/1.14 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 3.98/1.14 inference('demod', [status(thm)],
% 3.98/1.14 [zip_derived_cl23, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.14 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.14 zip_derived_cl108, zip_derived_cl111, zip_derived_cl115,
% 3.98/1.14 zip_derived_cl117, zip_derived_cl118, zip_derived_cl119,
% 3.98/1.14 zip_derived_cl120, zip_derived_cl122])).
% 3.98/1.14 thf(clause27, conjecture,
% 3.98/1.14 (~( ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.14 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) |
% 3.98/1.14 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 3.98/1.14 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 3.98/1.14 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 3.98/1.14 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 3.98/1.14 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 3.98/1.14 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 3.98/1.14 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 3.98/1.14 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 3.98/1.14 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 3.98/1.14 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.14 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 3.98/1.14 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.14 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 3.98/1.14 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.14 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 3.98/1.14 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.14 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) ))).
% 3.98/1.14 thf(zf_stmt_17, negated_conjecture,
% 3.98/1.14 (( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.14 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) |
% 3.98/1.14 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 3.98/1.14 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 3.98/1.14 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 3.98/1.14 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 3.98/1.14 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 3.98/1.14 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 3.98/1.14 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 3.98/1.14 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 3.98/1.14 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.14 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 3.98/1.14 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.14 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 3.98/1.14 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.14 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 3.98/1.14 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.14 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) )),
% 3.98/1.14 inference('cnf.neg', [status(esa)], [clause27])).
% 3.98/1.14 thf(zip_derived_cl26, plain,
% 3.98/1.14 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.98/1.14 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 3.98/1.14 ( (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.98/1.14 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 3.98/1.14 | ~ (ssNder1_0)
% 3.98/1.14 | ~ (ssNder1_1r1 @ X0)
% 3.98/1.14 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 3.98/1.14 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 3.98/1.14 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 3.98/1.14 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 3.98/1.14 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 3.98/1.14 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 3.98/1.14 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 3.98/1.14 X7)
% 3.98/1.14 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 3.98/1.14 X6 @ X7 @ X8)
% 3.98/1.14 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 3.98/1.14 X6 @ X7 @ X8 @ X9)
% 3.98/1.14 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.98/1.14 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 3.98/1.14 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.98/1.14 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 3.98/1.14 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.98/1.14 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12))),
% 3.98/1.14 inference('cnf', [status(esa)], [zf_stmt_17])).
% 3.98/1.14 thf(zip_derived_cl0, plain, ( (ssNder1_0)),
% 3.98/1.14 inference('cnf', [status(esa)], [zf_stmt_1])).
% 3.98/1.14 thf(zip_derived_cl102, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 3.98/1.14 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 3.98/1.14 thf(zip_derived_cl103, plain,
% 3.98/1.14 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 3.98/1.14 inference('demod', [status(thm)],
% 3.98/1.14 [zip_derived_cl2, zip_derived_cl0, zip_derived_cl102])).
% 3.98/1.14 thf(zip_derived_cl104, plain,
% 3.98/1.14 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 3.98/1.14 inference('demod', [status(thm)],
% 3.98/1.14 [zip_derived_cl3, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.14 zip_derived_cl103])).
% 3.98/1.14 thf(zip_derived_cl106, plain,
% 3.98/1.14 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 3.98/1.14 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 3.98/1.14 inference('demod', [status(thm)],
% 3.98/1.14 [zip_derived_cl4, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.14 zip_derived_cl103, zip_derived_cl104])).
% 3.98/1.14 thf(zip_derived_cl108, plain,
% 3.98/1.14 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 3.98/1.14 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 3.98/1.14 inference('demod', [status(thm)],
% 3.98/1.14 [zip_derived_cl7, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.14 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106])).
% 3.98/1.14 thf(zip_derived_cl111, plain,
% 3.98/1.14 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 3.98/1.14 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 3.98/1.14 inference('demod', [status(thm)],
% 3.98/1.14 [zip_derived_cl10, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.14 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.14 zip_derived_cl108])).
% 3.98/1.14 thf(zip_derived_cl115, plain,
% 3.98/1.14 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 3.98/1.14 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 3.98/1.14 inference('demod', [status(thm)],
% 3.98/1.14 [zip_derived_cl13, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.14 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.14 zip_derived_cl108, zip_derived_cl111])).
% 3.98/1.14 thf(zip_derived_cl117, plain,
% 3.98/1.14 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 3.98/1.14 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 3.98/1.14 inference('demod', [status(thm)],
% 3.98/1.14 [zip_derived_cl16, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.14 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.14 zip_derived_cl108, zip_derived_cl111, zip_derived_cl115])).
% 3.98/1.14 thf(zip_derived_cl118, plain,
% 3.98/1.14 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.98/1.14 X7 : $i, X8 : $i]:
% 3.98/1.14 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 3.98/1.14 X7 @ X8)),
% 3.98/1.14 inference('demod', [status(thm)],
% 3.98/1.14 [zip_derived_cl17, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.14 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.14 zip_derived_cl108, zip_derived_cl111, zip_derived_cl115,
% 3.98/1.14 zip_derived_cl117])).
% 3.98/1.14 thf(zip_derived_cl119, plain,
% 3.98/1.14 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.98/1.14 X7 : $i, X8 : $i, X9 : $i]:
% 3.98/1.14 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 3.98/1.14 X7 @ X8 @ X9)),
% 3.98/1.14 inference('demod', [status(thm)],
% 3.98/1.14 [zip_derived_cl18, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.14 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.14 zip_derived_cl108, zip_derived_cl111, zip_derived_cl115,
% 3.98/1.14 zip_derived_cl117, zip_derived_cl118])).
% 3.98/1.14 thf(zip_derived_cl120, plain,
% 3.98/1.14 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.98/1.14 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 3.98/1.14 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 3.98/1.14 X6 @ X7 @ X8 @ X9 @ X10)),
% 3.98/1.14 inference('demod', [status(thm)],
% 3.98/1.14 [zip_derived_cl19, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.14 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.14 zip_derived_cl108, zip_derived_cl111, zip_derived_cl115,
% 3.98/1.14 zip_derived_cl117, zip_derived_cl118, zip_derived_cl119])).
% 3.98/1.14 thf(zip_derived_cl122, plain,
% 3.98/1.14 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.98/1.14 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 3.98/1.14 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 3.98/1.14 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 3.98/1.14 inference('demod', [status(thm)],
% 3.98/1.14 [zip_derived_cl20, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.14 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.14 zip_derived_cl108, zip_derived_cl111, zip_derived_cl115,
% 3.98/1.14 zip_derived_cl117, zip_derived_cl118, zip_derived_cl119,
% 3.98/1.14 zip_derived_cl120])).
% 3.98/1.14 thf(zip_derived_cl125, plain,
% 3.98/1.14 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.98/1.14 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 3.98/1.14 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.98/1.14 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 3.98/1.14 inference('demod', [status(thm)],
% 3.98/1.14 [zip_derived_cl23, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.14 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.14 zip_derived_cl108, zip_derived_cl111, zip_derived_cl115,
% 3.98/1.14 zip_derived_cl117, zip_derived_cl118, zip_derived_cl119,
% 3.98/1.14 zip_derived_cl120, zip_derived_cl122])).
% 3.98/1.14 thf(zip_derived_cl127, plain,
% 3.98/1.14 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.98/1.14 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 3.98/1.14 (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.98/1.14 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)),
% 3.98/1.14 inference('demod', [status(thm)],
% 3.98/1.14 [zip_derived_cl26, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.14 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.14 zip_derived_cl108, zip_derived_cl111, zip_derived_cl115,
% 3.98/1.14 zip_derived_cl117, zip_derived_cl118, zip_derived_cl119,
% 3.98/1.14 zip_derived_cl120, zip_derived_cl122, zip_derived_cl125])).
% 3.98/1.14 thf(clause30, conjecture,
% 3.98/1.14 (~( ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.14 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) |
% 3.98/1.14 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 3.98/1.14 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 3.98/1.14 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 3.98/1.14 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 3.98/1.14 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 3.98/1.14 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 3.98/1.14 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 3.98/1.14 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 3.98/1.14 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 3.98/1.14 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.14 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 3.98/1.14 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.14 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 3.98/1.14 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.14 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 3.98/1.14 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.14 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 3.98/1.14 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.14 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) ))).
% 3.98/1.14 thf(zf_stmt_18, negated_conjecture,
% 3.98/1.14 (( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.14 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) |
% 3.98/1.14 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 3.98/1.14 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 3.98/1.14 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 3.98/1.14 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 3.98/1.14 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 3.98/1.14 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 3.98/1.14 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 3.98/1.14 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 3.98/1.14 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.14 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 3.98/1.14 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.14 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 3.98/1.14 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.14 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 3.98/1.14 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.14 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 3.98/1.14 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.14 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) )),
% 3.98/1.14 inference('cnf.neg', [status(esa)], [clause30])).
% 3.98/1.14 thf(zip_derived_cl29, plain,
% 3.98/1.14 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.98/1.14 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 3.98/1.14 X14 : $i]:
% 3.98/1.14 ( (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 3.98/1.14 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 3.98/1.14 | ~ (ssNder1_0)
% 3.98/1.14 | ~ (ssNder1_1r1 @ X0)
% 3.98/1.14 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 3.98/1.14 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 3.98/1.14 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 3.98/1.14 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 3.98/1.14 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 3.98/1.14 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 3.98/1.14 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 3.98/1.14 X7)
% 3.98/1.14 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 3.98/1.14 X6 @ X7 @ X8)
% 3.98/1.14 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 3.98/1.14 X6 @ X7 @ X8 @ X9)
% 3.98/1.14 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.98/1.14 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 3.98/1.14 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.98/1.14 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 3.98/1.14 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.98/1.14 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 3.98/1.14 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 3.98/1.14 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13))),
% 3.98/1.14 inference('cnf', [status(esa)], [zf_stmt_18])).
% 3.98/1.14 thf(zip_derived_cl0, plain, ( (ssNder1_0)),
% 3.98/1.14 inference('cnf', [status(esa)], [zf_stmt_1])).
% 3.98/1.14 thf(zip_derived_cl102, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 3.98/1.14 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 3.98/1.14 thf(zip_derived_cl103, plain,
% 3.98/1.14 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 3.98/1.14 inference('demod', [status(thm)],
% 3.98/1.14 [zip_derived_cl2, zip_derived_cl0, zip_derived_cl102])).
% 3.98/1.14 thf(zip_derived_cl104, plain,
% 3.98/1.14 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 3.98/1.14 inference('demod', [status(thm)],
% 3.98/1.14 [zip_derived_cl3, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.14 zip_derived_cl103])).
% 3.98/1.14 thf(zip_derived_cl106, plain,
% 3.98/1.14 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 3.98/1.14 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 3.98/1.14 inference('demod', [status(thm)],
% 3.98/1.14 [zip_derived_cl4, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.14 zip_derived_cl103, zip_derived_cl104])).
% 3.98/1.14 thf(zip_derived_cl108, plain,
% 3.98/1.14 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 3.98/1.14 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 3.98/1.14 inference('demod', [status(thm)],
% 3.98/1.14 [zip_derived_cl7, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.14 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106])).
% 3.98/1.14 thf(zip_derived_cl111, plain,
% 3.98/1.14 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 3.98/1.14 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 3.98/1.14 inference('demod', [status(thm)],
% 3.98/1.14 [zip_derived_cl10, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.14 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.14 zip_derived_cl108])).
% 3.98/1.14 thf(zip_derived_cl115, plain,
% 3.98/1.14 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 3.98/1.14 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 3.98/1.14 inference('demod', [status(thm)],
% 3.98/1.14 [zip_derived_cl13, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.14 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.14 zip_derived_cl108, zip_derived_cl111])).
% 3.98/1.14 thf(zip_derived_cl117, plain,
% 3.98/1.14 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 3.98/1.14 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 3.98/1.14 inference('demod', [status(thm)],
% 3.98/1.14 [zip_derived_cl16, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.14 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.14 zip_derived_cl108, zip_derived_cl111, zip_derived_cl115])).
% 3.98/1.14 thf(zip_derived_cl118, plain,
% 3.98/1.14 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.98/1.14 X7 : $i, X8 : $i]:
% 3.98/1.14 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 3.98/1.14 X7 @ X8)),
% 3.98/1.14 inference('demod', [status(thm)],
% 3.98/1.14 [zip_derived_cl17, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.14 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.14 zip_derived_cl108, zip_derived_cl111, zip_derived_cl115,
% 3.98/1.14 zip_derived_cl117])).
% 3.98/1.14 thf(zip_derived_cl119, plain,
% 3.98/1.14 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.98/1.14 X7 : $i, X8 : $i, X9 : $i]:
% 3.98/1.14 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 3.98/1.14 X7 @ X8 @ X9)),
% 3.98/1.14 inference('demod', [status(thm)],
% 3.98/1.14 [zip_derived_cl18, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.14 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.14 zip_derived_cl108, zip_derived_cl111, zip_derived_cl115,
% 3.98/1.14 zip_derived_cl117, zip_derived_cl118])).
% 3.98/1.14 thf(zip_derived_cl120, plain,
% 3.98/1.14 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.98/1.14 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 3.98/1.14 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 3.98/1.14 X6 @ X7 @ X8 @ X9 @ X10)),
% 3.98/1.14 inference('demod', [status(thm)],
% 3.98/1.14 [zip_derived_cl19, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.14 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.14 zip_derived_cl108, zip_derived_cl111, zip_derived_cl115,
% 3.98/1.14 zip_derived_cl117, zip_derived_cl118, zip_derived_cl119])).
% 3.98/1.14 thf(zip_derived_cl122, plain,
% 3.98/1.14 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.98/1.14 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 3.98/1.14 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 3.98/1.14 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 3.98/1.14 inference('demod', [status(thm)],
% 3.98/1.14 [zip_derived_cl20, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.14 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.14 zip_derived_cl108, zip_derived_cl111, zip_derived_cl115,
% 3.98/1.14 zip_derived_cl117, zip_derived_cl118, zip_derived_cl119,
% 3.98/1.14 zip_derived_cl120])).
% 3.98/1.14 thf(zip_derived_cl125, plain,
% 3.98/1.14 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.98/1.14 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 3.98/1.14 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.98/1.14 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 3.98/1.14 inference('demod', [status(thm)],
% 3.98/1.14 [zip_derived_cl23, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.14 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.14 zip_derived_cl108, zip_derived_cl111, zip_derived_cl115,
% 3.98/1.14 zip_derived_cl117, zip_derived_cl118, zip_derived_cl119,
% 3.98/1.14 zip_derived_cl120, zip_derived_cl122])).
% 3.98/1.14 thf(zip_derived_cl127, plain,
% 3.98/1.14 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.98/1.14 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 3.98/1.14 (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.98/1.14 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)),
% 3.98/1.14 inference('demod', [status(thm)],
% 3.98/1.14 [zip_derived_cl26, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.14 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.14 zip_derived_cl108, zip_derived_cl111, zip_derived_cl115,
% 3.98/1.14 zip_derived_cl117, zip_derived_cl118, zip_derived_cl119,
% 3.98/1.14 zip_derived_cl120, zip_derived_cl122, zip_derived_cl125])).
% 3.98/1.14 thf(zip_derived_cl131, plain,
% 3.98/1.14 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.98/1.14 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 3.98/1.14 X14 : $i]:
% 3.98/1.14 (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.98/1.14 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)),
% 3.98/1.14 inference('demod', [status(thm)],
% 3.98/1.14 [zip_derived_cl29, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.14 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.14 zip_derived_cl108, zip_derived_cl111, zip_derived_cl115,
% 3.98/1.14 zip_derived_cl117, zip_derived_cl118, zip_derived_cl119,
% 3.98/1.14 zip_derived_cl120, zip_derived_cl122, zip_derived_cl125,
% 3.98/1.14 zip_derived_cl127])).
% 3.98/1.14 thf(clause34, conjecture,
% 3.98/1.14 (~( ( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.14 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 3.98/1.14 X10 ) |
% 3.98/1.14 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 3.98/1.14 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 3.98/1.14 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 3.98/1.14 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 3.98/1.14 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 3.98/1.14 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 3.98/1.14 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 3.98/1.14 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 3.98/1.14 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 3.98/1.14 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.14 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 3.98/1.14 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.14 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 3.98/1.14 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.14 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 3.98/1.14 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.14 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 3.98/1.14 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.14 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 3.98/1.14 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.14 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) ))).
% 3.98/1.14 thf(zf_stmt_19, negated_conjecture,
% 3.98/1.14 (( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.14 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 ) |
% 3.98/1.14 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 3.98/1.14 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 3.98/1.14 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 3.98/1.14 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 3.98/1.14 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 3.98/1.14 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 3.98/1.14 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 3.98/1.14 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 3.98/1.14 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.14 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 3.98/1.14 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.14 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 3.98/1.14 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.14 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 3.98/1.14 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.14 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 3.98/1.14 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.14 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 3.98/1.14 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.14 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) )),
% 3.98/1.14 inference('cnf.neg', [status(esa)], [clause34])).
% 3.98/1.14 thf(zip_derived_cl33, plain,
% 3.98/1.14 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.98/1.14 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 3.98/1.14 X14 : $i, X15 : $i]:
% 3.98/1.14 ( (ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 3.98/1.14 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15)
% 3.98/1.14 | ~ (ssNder1_0)
% 3.98/1.14 | ~ (ssNder1_1r1 @ X0)
% 3.98/1.14 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 3.98/1.14 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 3.98/1.14 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 3.98/1.14 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 3.98/1.14 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 3.98/1.14 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 3.98/1.14 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 3.98/1.14 X7)
% 3.98/1.14 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 3.98/1.14 X6 @ X7 @ X8)
% 3.98/1.14 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 3.98/1.14 X6 @ X7 @ X8 @ X9)
% 3.98/1.14 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.98/1.15 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 3.98/1.15 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.98/1.15 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 3.98/1.15 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.98/1.15 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 3.98/1.15 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 3.98/1.15 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 3.98/1.15 | ~ (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 3.98/1.15 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14))),
% 3.98/1.15 inference('cnf', [status(esa)], [zf_stmt_19])).
% 3.98/1.15 thf(zip_derived_cl0, plain, ( (ssNder1_0)),
% 3.98/1.15 inference('cnf', [status(esa)], [zf_stmt_1])).
% 3.98/1.15 thf(zip_derived_cl102, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 3.98/1.15 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 3.98/1.15 thf(zip_derived_cl103, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl2, zip_derived_cl0, zip_derived_cl102])).
% 3.98/1.15 thf(zip_derived_cl104, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl3, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.15 zip_derived_cl103])).
% 3.98/1.15 thf(zip_derived_cl106, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 3.98/1.15 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl4, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.15 zip_derived_cl103, zip_derived_cl104])).
% 3.98/1.15 thf(zip_derived_cl108, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 3.98/1.15 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl7, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.15 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106])).
% 3.98/1.15 thf(zip_derived_cl111, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 3.98/1.15 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl10, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.15 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.15 zip_derived_cl108])).
% 3.98/1.15 thf(zip_derived_cl115, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 3.98/1.15 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl13, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.15 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.15 zip_derived_cl108, zip_derived_cl111])).
% 3.98/1.15 thf(zip_derived_cl117, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 3.98/1.15 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl16, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.15 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.15 zip_derived_cl108, zip_derived_cl111, zip_derived_cl115])).
% 3.98/1.15 thf(zip_derived_cl118, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.98/1.15 X7 : $i, X8 : $i]:
% 3.98/1.15 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 3.98/1.15 X7 @ X8)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl17, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.15 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.15 zip_derived_cl108, zip_derived_cl111, zip_derived_cl115,
% 3.98/1.15 zip_derived_cl117])).
% 3.98/1.15 thf(zip_derived_cl119, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.98/1.15 X7 : $i, X8 : $i, X9 : $i]:
% 3.98/1.15 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 3.98/1.15 X7 @ X8 @ X9)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl18, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.15 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.15 zip_derived_cl108, zip_derived_cl111, zip_derived_cl115,
% 3.98/1.15 zip_derived_cl117, zip_derived_cl118])).
% 3.98/1.15 thf(zip_derived_cl120, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.98/1.15 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 3.98/1.15 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 3.98/1.15 X6 @ X7 @ X8 @ X9 @ X10)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl19, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.15 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.15 zip_derived_cl108, zip_derived_cl111, zip_derived_cl115,
% 3.98/1.15 zip_derived_cl117, zip_derived_cl118, zip_derived_cl119])).
% 3.98/1.15 thf(zip_derived_cl122, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.98/1.15 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 3.98/1.15 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 3.98/1.15 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl20, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.15 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.15 zip_derived_cl108, zip_derived_cl111, zip_derived_cl115,
% 3.98/1.15 zip_derived_cl117, zip_derived_cl118, zip_derived_cl119,
% 3.98/1.15 zip_derived_cl120])).
% 3.98/1.15 thf(zip_derived_cl125, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.98/1.15 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 3.98/1.15 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.98/1.15 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl23, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.15 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.15 zip_derived_cl108, zip_derived_cl111, zip_derived_cl115,
% 3.98/1.15 zip_derived_cl117, zip_derived_cl118, zip_derived_cl119,
% 3.98/1.15 zip_derived_cl120, zip_derived_cl122])).
% 3.98/1.15 thf(zip_derived_cl127, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.98/1.15 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 3.98/1.15 (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.98/1.15 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl26, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.15 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.15 zip_derived_cl108, zip_derived_cl111, zip_derived_cl115,
% 3.98/1.15 zip_derived_cl117, zip_derived_cl118, zip_derived_cl119,
% 3.98/1.15 zip_derived_cl120, zip_derived_cl122, zip_derived_cl125])).
% 3.98/1.15 thf(zip_derived_cl131, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.98/1.15 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 3.98/1.15 X14 : $i]:
% 3.98/1.15 (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.98/1.15 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl29, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.15 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.15 zip_derived_cl108, zip_derived_cl111, zip_derived_cl115,
% 3.98/1.15 zip_derived_cl117, zip_derived_cl118, zip_derived_cl119,
% 3.98/1.15 zip_derived_cl120, zip_derived_cl122, zip_derived_cl125,
% 3.98/1.15 zip_derived_cl127])).
% 3.98/1.15 thf(zip_derived_cl135, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.98/1.15 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 3.98/1.15 X14 : $i, X15 : $i]:
% 3.98/1.15 (ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 3.98/1.15 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl33, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.15 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.15 zip_derived_cl108, zip_derived_cl111, zip_derived_cl115,
% 3.98/1.15 zip_derived_cl117, zip_derived_cl118, zip_derived_cl119,
% 3.98/1.15 zip_derived_cl120, zip_derived_cl122, zip_derived_cl125,
% 3.98/1.15 zip_derived_cl127, zip_derived_cl131])).
% 3.98/1.15 thf(clause35, conjecture,
% 3.98/1.15 (~( ( ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 3.98/1.15 X10 @ X11 ) |
% 3.98/1.15 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 3.98/1.15 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 3.98/1.15 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 3.98/1.15 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 3.98/1.15 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 3.98/1.15 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 3.98/1.15 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 3.98/1.15 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 3.98/1.15 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 3.98/1.15 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 3.98/1.15 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 3.98/1.15 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 3.98/1.15 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 3.98/1.15 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 3.98/1.15 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 3.98/1.15 ( ~( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 3.98/1.15 X9 @ X10 ) ) ))).
% 3.98/1.15 thf(zf_stmt_20, negated_conjecture,
% 3.98/1.15 (( ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 3.98/1.15 X10 @ X11 ) |
% 3.98/1.15 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 3.98/1.15 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 3.98/1.15 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 3.98/1.15 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 3.98/1.15 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 3.98/1.15 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 3.98/1.15 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 3.98/1.15 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 3.98/1.15 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 3.98/1.15 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 3.98/1.15 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 3.98/1.15 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 3.98/1.15 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 3.98/1.15 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 3.98/1.15 ( ~( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 3.98/1.15 X10 ) )),
% 3.98/1.15 inference('cnf.neg', [status(esa)], [clause35])).
% 3.98/1.15 thf(zip_derived_cl34, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.98/1.15 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 3.98/1.15 X14 : $i, X15 : $i, X16 : $i]:
% 3.98/1.15 ( (ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 3.98/1.15 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @
% 3.98/1.15 X16)
% 3.98/1.15 | ~ (ssNder1_0)
% 3.98/1.15 | ~ (ssNder1_1r1 @ X0)
% 3.98/1.15 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 3.98/1.15 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 3.98/1.15 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 3.98/1.15 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 3.98/1.15 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 3.98/1.15 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 3.98/1.15 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 3.98/1.15 X7)
% 3.98/1.15 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 3.98/1.15 X6 @ X7 @ X8)
% 3.98/1.15 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 3.98/1.15 X6 @ X7 @ X8 @ X9)
% 3.98/1.15 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.98/1.15 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 3.98/1.15 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.98/1.15 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 3.98/1.15 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.98/1.15 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 3.98/1.15 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 3.98/1.15 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 3.98/1.15 | ~ (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 3.98/1.15 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 3.98/1.15 | ~ (ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 3.98/1.15 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 3.98/1.15 X14 @ X15))),
% 3.98/1.15 inference('cnf', [status(esa)], [zf_stmt_20])).
% 3.98/1.15 thf(zip_derived_cl0, plain, ( (ssNder1_0)),
% 3.98/1.15 inference('cnf', [status(esa)], [zf_stmt_1])).
% 3.98/1.15 thf(zip_derived_cl102, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 3.98/1.15 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 3.98/1.15 thf(zip_derived_cl103, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl2, zip_derived_cl0, zip_derived_cl102])).
% 3.98/1.15 thf(zip_derived_cl104, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl3, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.15 zip_derived_cl103])).
% 3.98/1.15 thf(zip_derived_cl106, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 3.98/1.15 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl4, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.15 zip_derived_cl103, zip_derived_cl104])).
% 3.98/1.15 thf(zip_derived_cl108, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 3.98/1.15 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl7, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.15 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106])).
% 3.98/1.15 thf(zip_derived_cl111, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 3.98/1.15 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl10, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.15 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.15 zip_derived_cl108])).
% 3.98/1.15 thf(zip_derived_cl115, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 3.98/1.15 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl13, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.15 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.15 zip_derived_cl108, zip_derived_cl111])).
% 3.98/1.15 thf(zip_derived_cl117, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 3.98/1.15 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl16, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.15 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.15 zip_derived_cl108, zip_derived_cl111, zip_derived_cl115])).
% 3.98/1.15 thf(zip_derived_cl118, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.98/1.15 X7 : $i, X8 : $i]:
% 3.98/1.15 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 3.98/1.15 X7 @ X8)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl17, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.15 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.15 zip_derived_cl108, zip_derived_cl111, zip_derived_cl115,
% 3.98/1.15 zip_derived_cl117])).
% 3.98/1.15 thf(zip_derived_cl119, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.98/1.15 X7 : $i, X8 : $i, X9 : $i]:
% 3.98/1.15 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 3.98/1.15 X7 @ X8 @ X9)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl18, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.15 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.15 zip_derived_cl108, zip_derived_cl111, zip_derived_cl115,
% 3.98/1.15 zip_derived_cl117, zip_derived_cl118])).
% 3.98/1.15 thf(zip_derived_cl120, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.98/1.15 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 3.98/1.15 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 3.98/1.15 X6 @ X7 @ X8 @ X9 @ X10)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl19, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.15 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.15 zip_derived_cl108, zip_derived_cl111, zip_derived_cl115,
% 3.98/1.15 zip_derived_cl117, zip_derived_cl118, zip_derived_cl119])).
% 3.98/1.15 thf(zip_derived_cl122, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.98/1.15 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 3.98/1.15 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 3.98/1.15 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl20, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.15 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.15 zip_derived_cl108, zip_derived_cl111, zip_derived_cl115,
% 3.98/1.15 zip_derived_cl117, zip_derived_cl118, zip_derived_cl119,
% 3.98/1.15 zip_derived_cl120])).
% 3.98/1.15 thf(zip_derived_cl125, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.98/1.15 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 3.98/1.15 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.98/1.15 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl23, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.15 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.15 zip_derived_cl108, zip_derived_cl111, zip_derived_cl115,
% 3.98/1.15 zip_derived_cl117, zip_derived_cl118, zip_derived_cl119,
% 3.98/1.15 zip_derived_cl120, zip_derived_cl122])).
% 3.98/1.15 thf(zip_derived_cl127, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.98/1.15 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 3.98/1.15 (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.98/1.15 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl26, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.15 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.15 zip_derived_cl108, zip_derived_cl111, zip_derived_cl115,
% 3.98/1.15 zip_derived_cl117, zip_derived_cl118, zip_derived_cl119,
% 3.98/1.15 zip_derived_cl120, zip_derived_cl122, zip_derived_cl125])).
% 3.98/1.15 thf(zip_derived_cl131, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.98/1.15 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 3.98/1.15 X14 : $i]:
% 3.98/1.15 (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.98/1.15 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl29, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.15 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.15 zip_derived_cl108, zip_derived_cl111, zip_derived_cl115,
% 3.98/1.15 zip_derived_cl117, zip_derived_cl118, zip_derived_cl119,
% 3.98/1.15 zip_derived_cl120, zip_derived_cl122, zip_derived_cl125,
% 3.98/1.15 zip_derived_cl127])).
% 3.98/1.15 thf(zip_derived_cl135, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.98/1.15 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 3.98/1.15 X14 : $i, X15 : $i]:
% 3.98/1.15 (ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 3.98/1.15 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl33, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.15 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.15 zip_derived_cl108, zip_derived_cl111, zip_derived_cl115,
% 3.98/1.15 zip_derived_cl117, zip_derived_cl118, zip_derived_cl119,
% 3.98/1.15 zip_derived_cl120, zip_derived_cl122, zip_derived_cl125,
% 3.98/1.15 zip_derived_cl127, zip_derived_cl131])).
% 3.98/1.15 thf(zip_derived_cl136, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.98/1.15 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 3.98/1.15 X14 : $i, X15 : $i, X16 : $i]:
% 3.98/1.15 (ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 3.98/1.15 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @
% 3.98/1.15 X16)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl34, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.15 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.15 zip_derived_cl108, zip_derived_cl111, zip_derived_cl115,
% 3.98/1.15 zip_derived_cl117, zip_derived_cl118, zip_derived_cl119,
% 3.98/1.15 zip_derived_cl120, zip_derived_cl122, zip_derived_cl125,
% 3.98/1.15 zip_derived_cl127, zip_derived_cl131, zip_derived_cl135])).
% 3.98/1.15 thf(clause37, conjecture,
% 3.98/1.15 (~( ( ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 3.98/1.15 X10 @ X11 @ X12 ) |
% 3.98/1.15 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 3.98/1.15 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 3.98/1.15 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 3.98/1.15 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 3.98/1.15 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 3.98/1.15 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 3.98/1.15 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 3.98/1.15 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 3.98/1.15 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 3.98/1.15 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 3.98/1.15 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 3.98/1.15 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 3.98/1.15 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 3.98/1.15 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 3.98/1.15 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 3.98/1.15 ( ~( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 3.98/1.15 X9 @ X10 ) ) |
% 3.98/1.15 ( ~( ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 3.98/1.15 X9 @ X10 @ X11 ) ) ))).
% 3.98/1.15 thf(zf_stmt_21, negated_conjecture,
% 3.98/1.15 (( ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 3.98/1.15 X10 @ X11 @ X12 ) |
% 3.98/1.15 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 3.98/1.15 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 3.98/1.15 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 3.98/1.15 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 3.98/1.15 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 3.98/1.15 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 3.98/1.15 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 3.98/1.15 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 3.98/1.15 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 3.98/1.15 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 3.98/1.15 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 3.98/1.15 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 3.98/1.15 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 3.98/1.15 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 3.98/1.15 ( ~( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 3.98/1.15 X10 ) ) |
% 3.98/1.15 ( ~( ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 3.98/1.15 X10 @ X11 ) )),
% 3.98/1.15 inference('cnf.neg', [status(esa)], [clause37])).
% 3.98/1.15 thf(zip_derived_cl36, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.98/1.15 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 3.98/1.15 X14 : $i, X15 : $i, X16 : $i, X17 : $i]:
% 3.98/1.15 ( (ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 3.98/1.15 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @
% 3.98/1.15 X15 @ X16 @ X17)
% 3.98/1.15 | ~ (ssNder1_0)
% 3.98/1.15 | ~ (ssNder1_1r1 @ X0)
% 3.98/1.15 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 3.98/1.15 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 3.98/1.15 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 3.98/1.15 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 3.98/1.15 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 3.98/1.15 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 3.98/1.15 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 3.98/1.15 X7)
% 3.98/1.15 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 3.98/1.15 X6 @ X7 @ X8)
% 3.98/1.15 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 3.98/1.15 X6 @ X7 @ X8 @ X9)
% 3.98/1.15 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.98/1.15 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 3.98/1.15 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.98/1.15 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 3.98/1.15 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.98/1.15 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 3.98/1.15 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 3.98/1.15 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 3.98/1.15 | ~ (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 3.98/1.15 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 3.98/1.15 | ~ (ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 3.98/1.15 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 3.98/1.15 X14 @ X15)
% 3.98/1.15 | ~ (ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 3.98/1.15 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 3.98/1.15 X14 @ X15 @ X16))),
% 3.98/1.15 inference('cnf', [status(esa)], [zf_stmt_21])).
% 3.98/1.15 thf(zip_derived_cl0, plain, ( (ssNder1_0)),
% 3.98/1.15 inference('cnf', [status(esa)], [zf_stmt_1])).
% 3.98/1.15 thf(zip_derived_cl102, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 3.98/1.15 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 3.98/1.15 thf(zip_derived_cl103, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl2, zip_derived_cl0, zip_derived_cl102])).
% 3.98/1.15 thf(zip_derived_cl104, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl3, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.15 zip_derived_cl103])).
% 3.98/1.15 thf(zip_derived_cl106, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 3.98/1.15 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl4, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.15 zip_derived_cl103, zip_derived_cl104])).
% 3.98/1.15 thf(zip_derived_cl108, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 3.98/1.15 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl7, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.15 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106])).
% 3.98/1.15 thf(zip_derived_cl111, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 3.98/1.15 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl10, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.15 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.15 zip_derived_cl108])).
% 3.98/1.15 thf(zip_derived_cl115, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 3.98/1.15 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl13, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.15 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.15 zip_derived_cl108, zip_derived_cl111])).
% 3.98/1.15 thf(zip_derived_cl117, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 3.98/1.15 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl16, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.15 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.15 zip_derived_cl108, zip_derived_cl111, zip_derived_cl115])).
% 3.98/1.15 thf(zip_derived_cl118, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.98/1.15 X7 : $i, X8 : $i]:
% 3.98/1.15 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 3.98/1.15 X7 @ X8)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl17, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.15 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.15 zip_derived_cl108, zip_derived_cl111, zip_derived_cl115,
% 3.98/1.15 zip_derived_cl117])).
% 3.98/1.15 thf(zip_derived_cl119, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.98/1.15 X7 : $i, X8 : $i, X9 : $i]:
% 3.98/1.15 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 3.98/1.15 X7 @ X8 @ X9)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl18, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.15 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.15 zip_derived_cl108, zip_derived_cl111, zip_derived_cl115,
% 3.98/1.15 zip_derived_cl117, zip_derived_cl118])).
% 3.98/1.15 thf(zip_derived_cl120, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.98/1.15 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 3.98/1.15 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 3.98/1.15 X6 @ X7 @ X8 @ X9 @ X10)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl19, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.15 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.15 zip_derived_cl108, zip_derived_cl111, zip_derived_cl115,
% 3.98/1.15 zip_derived_cl117, zip_derived_cl118, zip_derived_cl119])).
% 3.98/1.15 thf(zip_derived_cl122, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.98/1.15 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 3.98/1.15 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 3.98/1.15 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl20, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.15 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.15 zip_derived_cl108, zip_derived_cl111, zip_derived_cl115,
% 3.98/1.15 zip_derived_cl117, zip_derived_cl118, zip_derived_cl119,
% 3.98/1.15 zip_derived_cl120])).
% 3.98/1.15 thf(zip_derived_cl125, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.98/1.15 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 3.98/1.15 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.98/1.15 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl23, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.15 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.15 zip_derived_cl108, zip_derived_cl111, zip_derived_cl115,
% 3.98/1.15 zip_derived_cl117, zip_derived_cl118, zip_derived_cl119,
% 3.98/1.15 zip_derived_cl120, zip_derived_cl122])).
% 3.98/1.15 thf(zip_derived_cl127, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.98/1.15 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 3.98/1.15 (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.98/1.15 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl26, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.15 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.15 zip_derived_cl108, zip_derived_cl111, zip_derived_cl115,
% 3.98/1.15 zip_derived_cl117, zip_derived_cl118, zip_derived_cl119,
% 3.98/1.15 zip_derived_cl120, zip_derived_cl122, zip_derived_cl125])).
% 3.98/1.15 thf(zip_derived_cl131, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.98/1.15 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 3.98/1.15 X14 : $i]:
% 3.98/1.15 (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.98/1.15 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl29, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.15 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.15 zip_derived_cl108, zip_derived_cl111, zip_derived_cl115,
% 3.98/1.15 zip_derived_cl117, zip_derived_cl118, zip_derived_cl119,
% 3.98/1.15 zip_derived_cl120, zip_derived_cl122, zip_derived_cl125,
% 3.98/1.15 zip_derived_cl127])).
% 3.98/1.15 thf(zip_derived_cl135, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.98/1.15 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 3.98/1.15 X14 : $i, X15 : $i]:
% 3.98/1.15 (ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 3.98/1.15 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl33, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.15 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.15 zip_derived_cl108, zip_derived_cl111, zip_derived_cl115,
% 3.98/1.15 zip_derived_cl117, zip_derived_cl118, zip_derived_cl119,
% 3.98/1.15 zip_derived_cl120, zip_derived_cl122, zip_derived_cl125,
% 3.98/1.15 zip_derived_cl127, zip_derived_cl131])).
% 3.98/1.15 thf(zip_derived_cl136, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.98/1.15 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 3.98/1.15 X14 : $i, X15 : $i, X16 : $i]:
% 3.98/1.15 (ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 3.98/1.15 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @
% 3.98/1.15 X16)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl34, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.15 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.15 zip_derived_cl108, zip_derived_cl111, zip_derived_cl115,
% 3.98/1.15 zip_derived_cl117, zip_derived_cl118, zip_derived_cl119,
% 3.98/1.15 zip_derived_cl120, zip_derived_cl122, zip_derived_cl125,
% 3.98/1.15 zip_derived_cl127, zip_derived_cl131, zip_derived_cl135])).
% 3.98/1.15 thf(zip_derived_cl139, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.98/1.15 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 3.98/1.15 X14 : $i, X15 : $i, X16 : $i, X17 : $i]:
% 3.98/1.15 (ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 3.98/1.15 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @
% 3.98/1.15 X15 @ X16 @ X17)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl36, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.15 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.15 zip_derived_cl108, zip_derived_cl111, zip_derived_cl115,
% 3.98/1.15 zip_derived_cl117, zip_derived_cl118, zip_derived_cl119,
% 3.98/1.15 zip_derived_cl120, zip_derived_cl122, zip_derived_cl125,
% 3.98/1.15 zip_derived_cl127, zip_derived_cl131, zip_derived_cl135,
% 3.98/1.15 zip_derived_cl136])).
% 3.98/1.15 thf(clause40, conjecture,
% 3.98/1.15 (~( ( ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 3.98/1.15 X10 @ X11 @ X12 @ X13 ) |
% 3.98/1.15 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 3.98/1.15 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 3.98/1.15 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 3.98/1.15 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 3.98/1.15 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 3.98/1.15 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 3.98/1.15 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 3.98/1.15 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 3.98/1.15 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 3.98/1.15 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 3.98/1.15 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 3.98/1.15 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 3.98/1.15 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 3.98/1.15 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 3.98/1.15 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 3.98/1.15 ( ~( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 3.98/1.15 X9 @ X10 ) ) |
% 3.98/1.15 ( ~( ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 3.98/1.15 X9 @ X10 @ X11 ) ) |
% 3.98/1.15 ( ~( ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 3.98/1.15 X9 @ X10 @ X11 @ X12 ) ) ))).
% 3.98/1.15 thf(zf_stmt_22, negated_conjecture,
% 3.98/1.15 (( ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 3.98/1.15 X10 @ X11 @ X12 @ X13 ) |
% 3.98/1.15 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 3.98/1.15 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 3.98/1.15 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 3.98/1.15 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 3.98/1.15 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 3.98/1.15 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 3.98/1.15 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 3.98/1.15 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 3.98/1.15 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 3.98/1.15 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 3.98/1.15 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 3.98/1.15 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 3.98/1.15 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 3.98/1.15 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 3.98/1.15 ( ~( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 3.98/1.15 X10 ) ) |
% 3.98/1.15 ( ~( ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 3.98/1.15 X10 @ X11 ) ) |
% 3.98/1.15 ( ~( ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 3.98/1.15 X10 @ X11 @ X12 ) )),
% 3.98/1.15 inference('cnf.neg', [status(esa)], [clause40])).
% 3.98/1.15 thf(zip_derived_cl39, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.98/1.15 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 3.98/1.15 X14 : $i, X15 : $i, X16 : $i, X17 : $i, X18 : $i]:
% 3.98/1.15 ( (ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 3.98/1.15 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @
% 3.98/1.15 X15 @ X16 @ X17 @ X18)
% 3.98/1.15 | ~ (ssNder1_0)
% 3.98/1.15 | ~ (ssNder1_1r1 @ X0)
% 3.98/1.15 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 3.98/1.15 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 3.98/1.15 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 3.98/1.15 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 3.98/1.15 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 3.98/1.15 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 3.98/1.15 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 3.98/1.15 X7)
% 3.98/1.15 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 3.98/1.15 X6 @ X7 @ X8)
% 3.98/1.15 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 3.98/1.15 X6 @ X7 @ X8 @ X9)
% 3.98/1.15 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.98/1.15 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 3.98/1.15 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.98/1.15 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 3.98/1.15 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.98/1.15 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 3.98/1.15 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 3.98/1.15 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 3.98/1.15 | ~ (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 3.98/1.15 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 3.98/1.15 | ~ (ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 3.98/1.15 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 3.98/1.15 X14 @ X15)
% 3.98/1.15 | ~ (ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 3.98/1.15 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 3.98/1.15 X14 @ X15 @ X16)
% 3.98/1.15 | ~ (ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 3.98/1.15 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 3.98/1.15 X14 @ X15 @ X16 @ X17))),
% 3.98/1.15 inference('cnf', [status(esa)], [zf_stmt_22])).
% 3.98/1.15 thf(zip_derived_cl0, plain, ( (ssNder1_0)),
% 3.98/1.15 inference('cnf', [status(esa)], [zf_stmt_1])).
% 3.98/1.15 thf(zip_derived_cl102, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 3.98/1.15 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 3.98/1.15 thf(zip_derived_cl103, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl2, zip_derived_cl0, zip_derived_cl102])).
% 3.98/1.15 thf(zip_derived_cl104, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl3, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.15 zip_derived_cl103])).
% 3.98/1.15 thf(zip_derived_cl106, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 3.98/1.15 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl4, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.15 zip_derived_cl103, zip_derived_cl104])).
% 3.98/1.15 thf(zip_derived_cl108, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 3.98/1.15 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl7, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.15 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106])).
% 3.98/1.15 thf(zip_derived_cl111, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 3.98/1.15 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl10, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.15 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.15 zip_derived_cl108])).
% 3.98/1.15 thf(zip_derived_cl115, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 3.98/1.15 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl13, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.15 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.15 zip_derived_cl108, zip_derived_cl111])).
% 3.98/1.15 thf(zip_derived_cl117, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 3.98/1.15 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl16, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.15 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.15 zip_derived_cl108, zip_derived_cl111, zip_derived_cl115])).
% 3.98/1.15 thf(zip_derived_cl118, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.98/1.15 X7 : $i, X8 : $i]:
% 3.98/1.15 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 3.98/1.15 X7 @ X8)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl17, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.15 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.15 zip_derived_cl108, zip_derived_cl111, zip_derived_cl115,
% 3.98/1.15 zip_derived_cl117])).
% 3.98/1.15 thf(zip_derived_cl119, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.98/1.15 X7 : $i, X8 : $i, X9 : $i]:
% 3.98/1.15 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 3.98/1.15 X7 @ X8 @ X9)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl18, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.15 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.15 zip_derived_cl108, zip_derived_cl111, zip_derived_cl115,
% 3.98/1.15 zip_derived_cl117, zip_derived_cl118])).
% 3.98/1.15 thf(zip_derived_cl120, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.98/1.15 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 3.98/1.15 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 3.98/1.15 X6 @ X7 @ X8 @ X9 @ X10)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl19, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.15 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.15 zip_derived_cl108, zip_derived_cl111, zip_derived_cl115,
% 3.98/1.15 zip_derived_cl117, zip_derived_cl118, zip_derived_cl119])).
% 3.98/1.15 thf(zip_derived_cl122, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.98/1.15 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 3.98/1.15 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 3.98/1.15 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl20, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.15 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.15 zip_derived_cl108, zip_derived_cl111, zip_derived_cl115,
% 3.98/1.15 zip_derived_cl117, zip_derived_cl118, zip_derived_cl119,
% 3.98/1.15 zip_derived_cl120])).
% 3.98/1.15 thf(zip_derived_cl125, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.98/1.15 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 3.98/1.15 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.98/1.15 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl23, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.15 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.15 zip_derived_cl108, zip_derived_cl111, zip_derived_cl115,
% 3.98/1.15 zip_derived_cl117, zip_derived_cl118, zip_derived_cl119,
% 3.98/1.15 zip_derived_cl120, zip_derived_cl122])).
% 3.98/1.15 thf(zip_derived_cl127, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.98/1.15 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 3.98/1.15 (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.98/1.15 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl26, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.15 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.15 zip_derived_cl108, zip_derived_cl111, zip_derived_cl115,
% 3.98/1.15 zip_derived_cl117, zip_derived_cl118, zip_derived_cl119,
% 3.98/1.15 zip_derived_cl120, zip_derived_cl122, zip_derived_cl125])).
% 3.98/1.15 thf(zip_derived_cl131, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.98/1.15 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 3.98/1.15 X14 : $i]:
% 3.98/1.15 (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.98/1.15 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl29, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.15 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.15 zip_derived_cl108, zip_derived_cl111, zip_derived_cl115,
% 3.98/1.15 zip_derived_cl117, zip_derived_cl118, zip_derived_cl119,
% 3.98/1.15 zip_derived_cl120, zip_derived_cl122, zip_derived_cl125,
% 3.98/1.15 zip_derived_cl127])).
% 3.98/1.15 thf(zip_derived_cl135, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.98/1.15 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 3.98/1.15 X14 : $i, X15 : $i]:
% 3.98/1.15 (ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 3.98/1.15 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl33, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.15 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.15 zip_derived_cl108, zip_derived_cl111, zip_derived_cl115,
% 3.98/1.15 zip_derived_cl117, zip_derived_cl118, zip_derived_cl119,
% 3.98/1.15 zip_derived_cl120, zip_derived_cl122, zip_derived_cl125,
% 3.98/1.15 zip_derived_cl127, zip_derived_cl131])).
% 3.98/1.15 thf(zip_derived_cl136, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.98/1.15 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 3.98/1.15 X14 : $i, X15 : $i, X16 : $i]:
% 3.98/1.15 (ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 3.98/1.15 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @
% 3.98/1.15 X16)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl34, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.15 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.15 zip_derived_cl108, zip_derived_cl111, zip_derived_cl115,
% 3.98/1.15 zip_derived_cl117, zip_derived_cl118, zip_derived_cl119,
% 3.98/1.15 zip_derived_cl120, zip_derived_cl122, zip_derived_cl125,
% 3.98/1.15 zip_derived_cl127, zip_derived_cl131, zip_derived_cl135])).
% 3.98/1.15 thf(zip_derived_cl139, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.98/1.15 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 3.98/1.15 X14 : $i, X15 : $i, X16 : $i, X17 : $i]:
% 3.98/1.15 (ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 3.98/1.15 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @
% 3.98/1.15 X15 @ X16 @ X17)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl36, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.15 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.15 zip_derived_cl108, zip_derived_cl111, zip_derived_cl115,
% 3.98/1.15 zip_derived_cl117, zip_derived_cl118, zip_derived_cl119,
% 3.98/1.15 zip_derived_cl120, zip_derived_cl122, zip_derived_cl125,
% 3.98/1.15 zip_derived_cl127, zip_derived_cl131, zip_derived_cl135,
% 3.98/1.15 zip_derived_cl136])).
% 3.98/1.15 thf(zip_derived_cl142, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.98/1.15 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 3.98/1.15 X14 : $i, X15 : $i, X16 : $i, X17 : $i, X18 : $i]:
% 3.98/1.15 (ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 3.98/1.15 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @
% 3.98/1.15 X15 @ X16 @ X17 @ X18)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl39, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.15 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.15 zip_derived_cl108, zip_derived_cl111, zip_derived_cl115,
% 3.98/1.15 zip_derived_cl117, zip_derived_cl118, zip_derived_cl119,
% 3.98/1.15 zip_derived_cl120, zip_derived_cl122, zip_derived_cl125,
% 3.98/1.15 zip_derived_cl127, zip_derived_cl131, zip_derived_cl135,
% 3.98/1.15 zip_derived_cl136, zip_derived_cl139])).
% 3.98/1.15 thf(zip_derived_cl147, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.98/1.15 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 3.98/1.15 X14 : $i, X15 : $i, X16 : $i, X17 : $i, X18 : $i, X19 : $i]:
% 3.98/1.15 (ssPv8_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 3.98/1.15 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @
% 3.98/1.15 X15 @ X16 @ X17 @ X18 @ X19 @ skc30)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl42, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.15 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.15 zip_derived_cl108, zip_derived_cl111, zip_derived_cl115,
% 3.98/1.15 zip_derived_cl117, zip_derived_cl118, zip_derived_cl119,
% 3.98/1.15 zip_derived_cl120, zip_derived_cl122, zip_derived_cl125,
% 3.98/1.15 zip_derived_cl127, zip_derived_cl131, zip_derived_cl135,
% 3.98/1.15 zip_derived_cl136, zip_derived_cl139, zip_derived_cl142])).
% 3.98/1.15 thf(clause55, conjecture,
% 3.98/1.15 (~( ( ssPv19_10r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) |
% 3.98/1.15 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 3.98/1.15 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 3.98/1.15 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 3.98/1.15 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 3.98/1.15 ( ~( ssPv25_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 3.98/1.15 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 3.98/1.15 ( ~( ssPv24_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 3.98/1.15 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 3.98/1.15 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 3.98/1.15 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 3.98/1.15 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 3.98/1.15 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 3.98/1.15 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 3.98/1.15 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 3.98/1.15 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 3.98/1.15 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 3.98/1.15 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 3.98/1.15 ( ~( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 3.98/1.15 X9 @ X10 ) ) |
% 3.98/1.15 ( ~( ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 3.98/1.15 X9 @ X10 @ X11 ) ) |
% 3.98/1.15 ( ~( ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 3.98/1.15 X9 @ X10 @ X11 @ X12 ) ) |
% 3.98/1.15 ( ~( ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 3.98/1.15 X9 @ X10 @ X11 @ X12 @ X13 ) ) |
% 3.98/1.15 ( ~( ssPv8_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 3.98/1.15 X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 ) ) |
% 3.98/1.15 ( ~( ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 3.98/1.15 X9 @ X10 @ X11 @ X12 @ X13 @ X14 ) ) ))).
% 3.98/1.15 thf(zf_stmt_23, negated_conjecture,
% 3.98/1.15 (( ssPv19_10r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) |
% 3.98/1.15 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 3.98/1.15 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 3.98/1.15 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 3.98/1.15 ( ~( ssPv25_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 3.98/1.15 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 3.98/1.15 ( ~( ssPv24_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 3.98/1.15 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 3.98/1.15 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 3.98/1.15 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 3.98/1.15 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 3.98/1.15 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 3.98/1.15 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 3.98/1.15 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 3.98/1.15 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 3.98/1.15 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 3.98/1.15 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 3.98/1.15 ( ~( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 3.98/1.15 X10 ) ) |
% 3.98/1.15 ( ~( ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 3.98/1.15 X10 @ X11 ) ) |
% 3.98/1.15 ( ~( ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 3.98/1.15 X10 @ X11 @ X12 ) ) |
% 3.98/1.15 ( ~( ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 3.98/1.15 X10 @ X11 @ X12 @ X13 ) ) |
% 3.98/1.15 ( ~( ssPv8_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 3.98/1.15 X10 @ X11 @ X12 @ X13 @ X14 @ X15 ) ) |
% 3.98/1.15 ( ~( ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 3.98/1.15 X10 @ X11 @ X12 @ X13 @ X14 ) )),
% 3.98/1.15 inference('cnf.neg', [status(esa)], [clause55])).
% 3.98/1.15 thf(zip_derived_cl54, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.98/1.15 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 3.98/1.15 X14 : $i, X15 : $i, X16 : $i, X17 : $i, X18 : $i, X19 : $i, X20 : $i]:
% 3.98/1.15 ( (ssPv19_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 3.98/1.15 X7 @ X8 @ X9)
% 3.98/1.15 | ~ (ssNder1_0)
% 3.98/1.15 | ~ (ssNder1_1r1 @ X0)
% 3.98/1.15 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 3.98/1.15 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 3.98/1.15 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 3.98/1.15 | ~ (ssPv25_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 3.98/1.15 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 3.98/1.15 | ~ (ssPv24_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 3.98/1.15 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 3.98/1.15 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 3.98/1.15 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 3.98/1.15 X7)
% 3.98/1.15 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 3.98/1.15 X6 @ X7 @ X8)
% 3.98/1.15 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 3.98/1.15 X6 @ X7 @ X8 @ X9)
% 3.98/1.15 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.98/1.15 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 3.98/1.15 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.98/1.15 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 3.98/1.15 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.98/1.15 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 3.98/1.15 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 3.98/1.15 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 3.98/1.15 | ~ (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 3.98/1.15 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 3.98/1.15 | ~ (ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 3.98/1.15 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 3.98/1.15 X14 @ X15)
% 3.98/1.15 | ~ (ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 3.98/1.15 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 3.98/1.15 X14 @ X15 @ X16)
% 3.98/1.15 | ~ (ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 3.98/1.15 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 3.98/1.15 X14 @ X15 @ X16 @ X17)
% 3.98/1.15 | ~ (ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @
% 3.98/1.15 X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 3.98/1.15 X14 @ X15 @ X16 @ X17 @ X18)
% 3.98/1.15 | ~ (ssPv8_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @
% 3.98/1.15 X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 3.98/1.15 X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20)
% 3.98/1.15 | ~ (ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @
% 3.98/1.15 X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 3.98/1.15 X14 @ X15 @ X16 @ X17 @ X18 @ X19))),
% 3.98/1.15 inference('cnf', [status(esa)], [zf_stmt_23])).
% 3.98/1.15 thf(zip_derived_cl0, plain, ( (ssNder1_0)),
% 3.98/1.15 inference('cnf', [status(esa)], [zf_stmt_1])).
% 3.98/1.15 thf(zip_derived_cl102, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 3.98/1.15 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 3.98/1.15 thf(zip_derived_cl103, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl2, zip_derived_cl0, zip_derived_cl102])).
% 3.98/1.15 thf(zip_derived_cl104, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl3, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.15 zip_derived_cl103])).
% 3.98/1.15 thf(zip_derived_cl106, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 3.98/1.15 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl4, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.15 zip_derived_cl103, zip_derived_cl104])).
% 3.98/1.15 thf(zip_derived_cl108, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 3.98/1.15 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl7, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.15 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106])).
% 3.98/1.15 thf(zip_derived_cl111, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 3.98/1.15 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl10, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.15 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.15 zip_derived_cl108])).
% 3.98/1.15 thf(zip_derived_cl115, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 3.98/1.15 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl13, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.15 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.15 zip_derived_cl108, zip_derived_cl111])).
% 3.98/1.15 thf(zip_derived_cl117, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 3.98/1.15 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl16, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.15 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.15 zip_derived_cl108, zip_derived_cl111, zip_derived_cl115])).
% 3.98/1.15 thf(zip_derived_cl118, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.98/1.15 X7 : $i, X8 : $i]:
% 3.98/1.15 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 3.98/1.15 X7 @ X8)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl17, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.15 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.15 zip_derived_cl108, zip_derived_cl111, zip_derived_cl115,
% 3.98/1.15 zip_derived_cl117])).
% 3.98/1.15 thf(zip_derived_cl119, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.98/1.15 X7 : $i, X8 : $i, X9 : $i]:
% 3.98/1.15 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 3.98/1.15 X7 @ X8 @ X9)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl18, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.15 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.15 zip_derived_cl108, zip_derived_cl111, zip_derived_cl115,
% 3.98/1.15 zip_derived_cl117, zip_derived_cl118])).
% 3.98/1.15 thf(zip_derived_cl120, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.98/1.15 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 3.98/1.15 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 3.98/1.15 X6 @ X7 @ X8 @ X9 @ X10)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl19, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.15 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.15 zip_derived_cl108, zip_derived_cl111, zip_derived_cl115,
% 3.98/1.15 zip_derived_cl117, zip_derived_cl118, zip_derived_cl119])).
% 3.98/1.15 thf(zip_derived_cl122, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.98/1.15 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 3.98/1.15 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 3.98/1.15 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl20, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.15 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.15 zip_derived_cl108, zip_derived_cl111, zip_derived_cl115,
% 3.98/1.15 zip_derived_cl117, zip_derived_cl118, zip_derived_cl119,
% 3.98/1.15 zip_derived_cl120])).
% 3.98/1.15 thf(zip_derived_cl125, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.98/1.15 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 3.98/1.15 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.98/1.15 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl23, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.15 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.15 zip_derived_cl108, zip_derived_cl111, zip_derived_cl115,
% 3.98/1.15 zip_derived_cl117, zip_derived_cl118, zip_derived_cl119,
% 3.98/1.15 zip_derived_cl120, zip_derived_cl122])).
% 3.98/1.15 thf(zip_derived_cl127, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.98/1.15 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 3.98/1.15 (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.98/1.15 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl26, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.15 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.15 zip_derived_cl108, zip_derived_cl111, zip_derived_cl115,
% 3.98/1.15 zip_derived_cl117, zip_derived_cl118, zip_derived_cl119,
% 3.98/1.15 zip_derived_cl120, zip_derived_cl122, zip_derived_cl125])).
% 3.98/1.15 thf(zip_derived_cl131, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.98/1.15 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 3.98/1.15 X14 : $i]:
% 3.98/1.15 (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.98/1.15 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl29, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.15 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.15 zip_derived_cl108, zip_derived_cl111, zip_derived_cl115,
% 3.98/1.15 zip_derived_cl117, zip_derived_cl118, zip_derived_cl119,
% 3.98/1.15 zip_derived_cl120, zip_derived_cl122, zip_derived_cl125,
% 3.98/1.15 zip_derived_cl127])).
% 3.98/1.15 thf(zip_derived_cl135, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.98/1.15 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 3.98/1.15 X14 : $i, X15 : $i]:
% 3.98/1.15 (ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 3.98/1.15 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl33, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.15 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.15 zip_derived_cl108, zip_derived_cl111, zip_derived_cl115,
% 3.98/1.15 zip_derived_cl117, zip_derived_cl118, zip_derived_cl119,
% 3.98/1.15 zip_derived_cl120, zip_derived_cl122, zip_derived_cl125,
% 3.98/1.15 zip_derived_cl127, zip_derived_cl131])).
% 3.98/1.15 thf(zip_derived_cl136, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.98/1.15 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 3.98/1.15 X14 : $i, X15 : $i, X16 : $i]:
% 3.98/1.15 (ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 3.98/1.15 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @
% 3.98/1.15 X16)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl34, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.15 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.15 zip_derived_cl108, zip_derived_cl111, zip_derived_cl115,
% 3.98/1.15 zip_derived_cl117, zip_derived_cl118, zip_derived_cl119,
% 3.98/1.15 zip_derived_cl120, zip_derived_cl122, zip_derived_cl125,
% 3.98/1.15 zip_derived_cl127, zip_derived_cl131, zip_derived_cl135])).
% 3.98/1.15 thf(zip_derived_cl139, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.98/1.15 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 3.98/1.15 X14 : $i, X15 : $i, X16 : $i, X17 : $i]:
% 3.98/1.15 (ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 3.98/1.15 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @
% 3.98/1.15 X15 @ X16 @ X17)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl36, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.15 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.15 zip_derived_cl108, zip_derived_cl111, zip_derived_cl115,
% 3.98/1.15 zip_derived_cl117, zip_derived_cl118, zip_derived_cl119,
% 3.98/1.15 zip_derived_cl120, zip_derived_cl122, zip_derived_cl125,
% 3.98/1.15 zip_derived_cl127, zip_derived_cl131, zip_derived_cl135,
% 3.98/1.15 zip_derived_cl136])).
% 3.98/1.15 thf(zip_derived_cl142, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.98/1.15 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 3.98/1.15 X14 : $i, X15 : $i, X16 : $i, X17 : $i, X18 : $i]:
% 3.98/1.15 (ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 3.98/1.15 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @
% 3.98/1.15 X15 @ X16 @ X17 @ X18)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl39, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.15 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.15 zip_derived_cl108, zip_derived_cl111, zip_derived_cl115,
% 3.98/1.15 zip_derived_cl117, zip_derived_cl118, zip_derived_cl119,
% 3.98/1.15 zip_derived_cl120, zip_derived_cl122, zip_derived_cl125,
% 3.98/1.15 zip_derived_cl127, zip_derived_cl131, zip_derived_cl135,
% 3.98/1.15 zip_derived_cl136, zip_derived_cl139])).
% 3.98/1.15 thf(clause42, conjecture,
% 3.98/1.15 (~( ( ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 3.98/1.15 X10 @ X11 @ X12 @ X13 @ X14 ) |
% 3.98/1.15 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 3.98/1.15 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 3.98/1.15 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 3.98/1.15 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 3.98/1.15 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 3.98/1.15 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 3.98/1.15 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 3.98/1.15 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 3.98/1.15 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 3.98/1.15 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 3.98/1.15 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 3.98/1.15 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 3.98/1.15 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 3.98/1.15 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 3.98/1.15 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 3.98/1.15 ( ~( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 3.98/1.15 X9 @ X10 ) ) |
% 3.98/1.15 ( ~( ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 3.98/1.15 X9 @ X10 @ X11 ) ) |
% 3.98/1.15 ( ~( ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 3.98/1.15 X9 @ X10 @ X11 @ X12 ) ) |
% 3.98/1.15 ( ~( ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 3.98/1.15 X9 @ X10 @ X11 @ X12 @ X13 ) ) ))).
% 3.98/1.15 thf(zf_stmt_24, negated_conjecture,
% 3.98/1.15 (( ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 3.98/1.15 X10 @ X11 @ X12 @ X13 @ X14 ) |
% 3.98/1.15 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 3.98/1.15 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 3.98/1.15 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 3.98/1.15 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 3.98/1.15 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 3.98/1.15 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 3.98/1.15 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 3.98/1.15 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 3.98/1.15 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 3.98/1.15 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 3.98/1.15 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 3.98/1.15 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 3.98/1.15 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 3.98/1.15 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 3.98/1.15 ( ~( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 3.98/1.15 X10 ) ) |
% 3.98/1.15 ( ~( ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 3.98/1.15 X10 @ X11 ) ) |
% 3.98/1.15 ( ~( ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 3.98/1.15 X10 @ X11 @ X12 ) ) |
% 3.98/1.15 ( ~( ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 3.98/1.15 X10 @ X11 @ X12 @ X13 ) )),
% 3.98/1.15 inference('cnf.neg', [status(esa)], [clause42])).
% 3.98/1.15 thf(zip_derived_cl41, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.98/1.15 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 3.98/1.15 X14 : $i, X15 : $i, X16 : $i, X17 : $i, X18 : $i, X19 : $i]:
% 3.98/1.15 ( (ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @
% 3.98/1.15 X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 3.98/1.15 X14 @ X15 @ X16 @ X17 @ X18 @ X19)
% 3.98/1.15 | ~ (ssNder1_0)
% 3.98/1.15 | ~ (ssNder1_1r1 @ X0)
% 3.98/1.15 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 3.98/1.15 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 3.98/1.15 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 3.98/1.15 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 3.98/1.15 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 3.98/1.15 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 3.98/1.15 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 3.98/1.15 X7)
% 3.98/1.15 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 3.98/1.15 X6 @ X7 @ X8)
% 3.98/1.15 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 3.98/1.15 X6 @ X7 @ X8 @ X9)
% 3.98/1.15 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.98/1.15 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 3.98/1.15 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.98/1.15 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 3.98/1.15 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.98/1.15 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 3.98/1.15 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 3.98/1.15 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 3.98/1.15 | ~ (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 3.98/1.15 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 3.98/1.15 | ~ (ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 3.98/1.15 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 3.98/1.15 X14 @ X15)
% 3.98/1.15 | ~ (ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 3.98/1.15 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 3.98/1.15 X14 @ X15 @ X16)
% 3.98/1.15 | ~ (ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 3.98/1.15 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 3.98/1.15 X14 @ X15 @ X16 @ X17)
% 3.98/1.15 | ~ (ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @
% 3.98/1.15 X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 3.98/1.15 X14 @ X15 @ X16 @ X17 @ X18))),
% 3.98/1.15 inference('cnf', [status(esa)], [zf_stmt_24])).
% 3.98/1.15 thf(zip_derived_cl0, plain, ( (ssNder1_0)),
% 3.98/1.15 inference('cnf', [status(esa)], [zf_stmt_1])).
% 3.98/1.15 thf(zip_derived_cl102, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 3.98/1.15 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 3.98/1.15 thf(zip_derived_cl103, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl2, zip_derived_cl0, zip_derived_cl102])).
% 3.98/1.15 thf(zip_derived_cl104, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl3, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.15 zip_derived_cl103])).
% 3.98/1.15 thf(zip_derived_cl106, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 3.98/1.15 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl4, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.15 zip_derived_cl103, zip_derived_cl104])).
% 3.98/1.15 thf(zip_derived_cl108, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 3.98/1.15 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl7, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.15 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106])).
% 3.98/1.15 thf(zip_derived_cl111, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 3.98/1.15 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl10, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.15 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.15 zip_derived_cl108])).
% 3.98/1.15 thf(zip_derived_cl115, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 3.98/1.15 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl13, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.15 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.15 zip_derived_cl108, zip_derived_cl111])).
% 3.98/1.15 thf(zip_derived_cl117, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 3.98/1.15 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl16, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.15 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.15 zip_derived_cl108, zip_derived_cl111, zip_derived_cl115])).
% 3.98/1.15 thf(zip_derived_cl118, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.98/1.15 X7 : $i, X8 : $i]:
% 3.98/1.15 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 3.98/1.15 X7 @ X8)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl17, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.15 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.15 zip_derived_cl108, zip_derived_cl111, zip_derived_cl115,
% 3.98/1.15 zip_derived_cl117])).
% 3.98/1.15 thf(zip_derived_cl119, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.98/1.15 X7 : $i, X8 : $i, X9 : $i]:
% 3.98/1.15 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 3.98/1.15 X7 @ X8 @ X9)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl18, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.15 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.15 zip_derived_cl108, zip_derived_cl111, zip_derived_cl115,
% 3.98/1.15 zip_derived_cl117, zip_derived_cl118])).
% 3.98/1.15 thf(zip_derived_cl120, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.98/1.15 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 3.98/1.15 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 3.98/1.15 X6 @ X7 @ X8 @ X9 @ X10)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl19, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.15 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.15 zip_derived_cl108, zip_derived_cl111, zip_derived_cl115,
% 3.98/1.15 zip_derived_cl117, zip_derived_cl118, zip_derived_cl119])).
% 3.98/1.15 thf(zip_derived_cl122, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.98/1.15 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 3.98/1.15 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 3.98/1.15 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl20, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.15 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.15 zip_derived_cl108, zip_derived_cl111, zip_derived_cl115,
% 3.98/1.15 zip_derived_cl117, zip_derived_cl118, zip_derived_cl119,
% 3.98/1.15 zip_derived_cl120])).
% 3.98/1.15 thf(zip_derived_cl125, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.98/1.15 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 3.98/1.15 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.98/1.15 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl23, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.15 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.15 zip_derived_cl108, zip_derived_cl111, zip_derived_cl115,
% 3.98/1.15 zip_derived_cl117, zip_derived_cl118, zip_derived_cl119,
% 3.98/1.15 zip_derived_cl120, zip_derived_cl122])).
% 3.98/1.15 thf(zip_derived_cl127, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.98/1.15 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 3.98/1.15 (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.98/1.15 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl26, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.15 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.15 zip_derived_cl108, zip_derived_cl111, zip_derived_cl115,
% 3.98/1.15 zip_derived_cl117, zip_derived_cl118, zip_derived_cl119,
% 3.98/1.15 zip_derived_cl120, zip_derived_cl122, zip_derived_cl125])).
% 3.98/1.15 thf(zip_derived_cl131, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.98/1.15 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 3.98/1.15 X14 : $i]:
% 3.98/1.15 (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.98/1.15 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl29, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.15 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.15 zip_derived_cl108, zip_derived_cl111, zip_derived_cl115,
% 3.98/1.15 zip_derived_cl117, zip_derived_cl118, zip_derived_cl119,
% 3.98/1.15 zip_derived_cl120, zip_derived_cl122, zip_derived_cl125,
% 3.98/1.15 zip_derived_cl127])).
% 3.98/1.15 thf(zip_derived_cl135, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.98/1.15 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 3.98/1.15 X14 : $i, X15 : $i]:
% 3.98/1.15 (ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 3.98/1.15 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl33, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.15 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.15 zip_derived_cl108, zip_derived_cl111, zip_derived_cl115,
% 3.98/1.15 zip_derived_cl117, zip_derived_cl118, zip_derived_cl119,
% 3.98/1.15 zip_derived_cl120, zip_derived_cl122, zip_derived_cl125,
% 3.98/1.15 zip_derived_cl127, zip_derived_cl131])).
% 3.98/1.15 thf(zip_derived_cl136, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.98/1.15 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 3.98/1.15 X14 : $i, X15 : $i, X16 : $i]:
% 3.98/1.15 (ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 3.98/1.15 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @
% 3.98/1.15 X16)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl34, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.15 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.15 zip_derived_cl108, zip_derived_cl111, zip_derived_cl115,
% 3.98/1.15 zip_derived_cl117, zip_derived_cl118, zip_derived_cl119,
% 3.98/1.15 zip_derived_cl120, zip_derived_cl122, zip_derived_cl125,
% 3.98/1.15 zip_derived_cl127, zip_derived_cl131, zip_derived_cl135])).
% 3.98/1.15 thf(zip_derived_cl139, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.98/1.15 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 3.98/1.15 X14 : $i, X15 : $i, X16 : $i, X17 : $i]:
% 3.98/1.15 (ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 3.98/1.15 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @
% 3.98/1.15 X15 @ X16 @ X17)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl36, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.15 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.15 zip_derived_cl108, zip_derived_cl111, zip_derived_cl115,
% 3.98/1.15 zip_derived_cl117, zip_derived_cl118, zip_derived_cl119,
% 3.98/1.15 zip_derived_cl120, zip_derived_cl122, zip_derived_cl125,
% 3.98/1.15 zip_derived_cl127, zip_derived_cl131, zip_derived_cl135,
% 3.98/1.15 zip_derived_cl136])).
% 3.98/1.15 thf(zip_derived_cl142, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.98/1.15 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 3.98/1.15 X14 : $i, X15 : $i, X16 : $i, X17 : $i, X18 : $i]:
% 3.98/1.15 (ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 3.98/1.15 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @
% 3.98/1.15 X15 @ X16 @ X17 @ X18)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl39, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.15 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.15 zip_derived_cl108, zip_derived_cl111, zip_derived_cl115,
% 3.98/1.15 zip_derived_cl117, zip_derived_cl118, zip_derived_cl119,
% 3.98/1.15 zip_derived_cl120, zip_derived_cl122, zip_derived_cl125,
% 3.98/1.15 zip_derived_cl127, zip_derived_cl131, zip_derived_cl135,
% 3.98/1.15 zip_derived_cl136, zip_derived_cl139])).
% 3.98/1.15 thf(zip_derived_cl146, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.98/1.15 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 3.98/1.15 X14 : $i, X15 : $i, X16 : $i, X17 : $i, X18 : $i, X19 : $i]:
% 3.98/1.15 (ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 3.98/1.15 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @
% 3.98/1.15 X15 @ X16 @ X17 @ X18 @ X19)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl41, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.15 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.15 zip_derived_cl108, zip_derived_cl111, zip_derived_cl115,
% 3.98/1.15 zip_derived_cl117, zip_derived_cl118, zip_derived_cl119,
% 3.98/1.15 zip_derived_cl120, zip_derived_cl122, zip_derived_cl125,
% 3.98/1.15 zip_derived_cl127, zip_derived_cl131, zip_derived_cl135,
% 3.98/1.15 zip_derived_cl136, zip_derived_cl139, zip_derived_cl142])).
% 3.98/1.15 thf(zip_derived_cl157, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.98/1.15 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 3.98/1.15 X14 : $i, X15 : $i, X16 : $i, X17 : $i, X18 : $i, X19 : $i, X20 : $i]:
% 3.98/1.15 ( (ssPv19_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 3.98/1.15 X7 @ X8 @ X9)
% 3.98/1.15 | ~ (ssPv25_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 3.98/1.15 | ~ (ssPv24_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 3.98/1.15 | ~ (ssPv8_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @
% 3.98/1.15 X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 3.98/1.15 X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20))),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl54, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.15 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.15 zip_derived_cl108, zip_derived_cl111, zip_derived_cl115,
% 3.98/1.15 zip_derived_cl117, zip_derived_cl118, zip_derived_cl119,
% 3.98/1.15 zip_derived_cl120, zip_derived_cl122, zip_derived_cl125,
% 3.98/1.15 zip_derived_cl127, zip_derived_cl131, zip_derived_cl135,
% 3.98/1.15 zip_derived_cl136, zip_derived_cl139, zip_derived_cl142,
% 3.98/1.15 zip_derived_cl146])).
% 3.98/1.15 thf(zip_derived_cl158, plain,
% 3.98/1.15 (![X10 : $i, X11 : $i, X12 : $i, X13 : $i, X14 : $i, X15 : $i, X16 : $i,
% 3.98/1.15 X17 : $i, X18 : $i, X19 : $i]:
% 3.98/1.15 (~ (ssPv24_5r1r1r1r1r1 @ X19 @ X18 @ X17 @ X16 @ X15)
% 3.98/1.15 | ~ (ssPv25_4r1r1r1r1 @ X19 @ X18 @ X17 @ X16)
% 3.98/1.15 | (ssPv19_10r1r1r1r1r1r1r1r1r1r1 @ X19 @ X18 @ X17 @ X16 @ X15 @
% 3.98/1.15 X14 @ X13 @ X12 @ X11 @ X10))),
% 3.98/1.15 inference('sup-', [status(thm)], [zip_derived_cl147, zip_derived_cl157])).
% 3.98/1.15 thf(zip_derived_cl159, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.98/1.15 X7 : $i, X8 : $i]:
% 3.98/1.15 ( (ssPv19_10r1r1r1r1r1r1r1r1r1r1 @ X3 @ X2 @ X1 @ X0 @ skc46 @ X8 @
% 3.98/1.15 X7 @ X6 @ X5 @ X4)
% 3.98/1.15 | ~ (ssPv25_4r1r1r1r1 @ X3 @ X2 @ X1 @ X0))),
% 3.98/1.15 inference('sup-', [status(thm)], [zip_derived_cl107, zip_derived_cl158])).
% 3.98/1.15 thf(zip_derived_cl107, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 3.98/1.15 (ssPv24_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ skc46)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl5, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.15 zip_derived_cl103, zip_derived_cl104])).
% 3.98/1.15 thf(clause28, conjecture,
% 3.98/1.15 (~( ( ssPv14_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ skc34 ) |
% 3.98/1.15 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 3.98/1.15 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 3.98/1.15 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 3.98/1.15 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 3.98/1.15 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 3.98/1.15 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 3.98/1.15 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 3.98/1.15 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 3.98/1.15 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 3.98/1.15 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 3.98/1.15 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 3.98/1.15 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 3.98/1.15 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) ))).
% 3.98/1.15 thf(zf_stmt_25, negated_conjecture,
% 3.98/1.15 (( ssPv14_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ skc34 ) |
% 3.98/1.15 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 3.98/1.15 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 3.98/1.15 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 3.98/1.15 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 3.98/1.15 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 3.98/1.15 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 3.98/1.15 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 3.98/1.15 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 3.98/1.15 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 3.98/1.15 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 3.98/1.15 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 3.98/1.15 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) )),
% 3.98/1.15 inference('cnf.neg', [status(esa)], [clause28])).
% 3.98/1.15 thf(zip_derived_cl27, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.98/1.15 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 3.98/1.15 ( (ssPv14_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.98/1.15 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ skc34)
% 3.98/1.15 | ~ (ssNder1_0)
% 3.98/1.15 | ~ (ssNder1_1r1 @ X0)
% 3.98/1.15 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 3.98/1.15 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 3.98/1.15 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 3.98/1.15 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 3.98/1.15 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 3.98/1.15 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 3.98/1.15 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 3.98/1.15 X7)
% 3.98/1.15 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 3.98/1.15 X6 @ X7 @ X8)
% 3.98/1.15 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 3.98/1.15 X6 @ X7 @ X8 @ X9)
% 3.98/1.15 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.98/1.15 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 3.98/1.15 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.98/1.15 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 3.98/1.15 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.98/1.15 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12))),
% 3.98/1.15 inference('cnf', [status(esa)], [zf_stmt_25])).
% 3.98/1.15 thf(zip_derived_cl0, plain, ( (ssNder1_0)),
% 3.98/1.15 inference('cnf', [status(esa)], [zf_stmt_1])).
% 3.98/1.15 thf(zip_derived_cl102, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 3.98/1.15 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 3.98/1.15 thf(zip_derived_cl103, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl2, zip_derived_cl0, zip_derived_cl102])).
% 3.98/1.15 thf(zip_derived_cl104, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl3, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.15 zip_derived_cl103])).
% 3.98/1.15 thf(zip_derived_cl106, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 3.98/1.15 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl4, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.15 zip_derived_cl103, zip_derived_cl104])).
% 3.98/1.15 thf(zip_derived_cl108, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 3.98/1.15 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl7, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.15 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106])).
% 3.98/1.15 thf(zip_derived_cl111, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 3.98/1.15 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl10, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.15 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.15 zip_derived_cl108])).
% 3.98/1.15 thf(zip_derived_cl115, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 3.98/1.15 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl13, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.15 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.15 zip_derived_cl108, zip_derived_cl111])).
% 3.98/1.15 thf(zip_derived_cl117, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 3.98/1.15 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl16, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.15 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.15 zip_derived_cl108, zip_derived_cl111, zip_derived_cl115])).
% 3.98/1.15 thf(zip_derived_cl118, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.98/1.15 X7 : $i, X8 : $i]:
% 3.98/1.15 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 3.98/1.15 X7 @ X8)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl17, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.15 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.15 zip_derived_cl108, zip_derived_cl111, zip_derived_cl115,
% 3.98/1.15 zip_derived_cl117])).
% 3.98/1.15 thf(zip_derived_cl119, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.98/1.15 X7 : $i, X8 : $i, X9 : $i]:
% 3.98/1.15 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 3.98/1.15 X7 @ X8 @ X9)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl18, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.15 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.15 zip_derived_cl108, zip_derived_cl111, zip_derived_cl115,
% 3.98/1.15 zip_derived_cl117, zip_derived_cl118])).
% 3.98/1.15 thf(zip_derived_cl120, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.98/1.15 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 3.98/1.15 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 3.98/1.15 X6 @ X7 @ X8 @ X9 @ X10)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl19, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.15 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.15 zip_derived_cl108, zip_derived_cl111, zip_derived_cl115,
% 3.98/1.15 zip_derived_cl117, zip_derived_cl118, zip_derived_cl119])).
% 3.98/1.15 thf(zip_derived_cl122, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.98/1.15 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 3.98/1.15 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 3.98/1.15 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl20, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.15 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.15 zip_derived_cl108, zip_derived_cl111, zip_derived_cl115,
% 3.98/1.15 zip_derived_cl117, zip_derived_cl118, zip_derived_cl119,
% 3.98/1.15 zip_derived_cl120])).
% 3.98/1.15 thf(zip_derived_cl125, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.98/1.15 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 3.98/1.15 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.98/1.15 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl23, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.15 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.15 zip_derived_cl108, zip_derived_cl111, zip_derived_cl115,
% 3.98/1.15 zip_derived_cl117, zip_derived_cl118, zip_derived_cl119,
% 3.98/1.15 zip_derived_cl120, zip_derived_cl122])).
% 3.98/1.15 thf(zip_derived_cl128, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.98/1.15 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 3.98/1.15 (ssPv14_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.98/1.15 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ skc34)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl27, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.15 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.15 zip_derived_cl108, zip_derived_cl111, zip_derived_cl115,
% 3.98/1.15 zip_derived_cl117, zip_derived_cl118, zip_derived_cl119,
% 3.98/1.15 zip_derived_cl120, zip_derived_cl122, zip_derived_cl125])).
% 3.98/1.15 thf(zip_derived_cl147, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.98/1.15 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 3.98/1.15 X14 : $i, X15 : $i, X16 : $i, X17 : $i, X18 : $i, X19 : $i]:
% 3.98/1.15 (ssPv8_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 3.98/1.15 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @
% 3.98/1.15 X15 @ X16 @ X17 @ X18 @ X19 @ skc30)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl42, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.15 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.15 zip_derived_cl108, zip_derived_cl111, zip_derived_cl115,
% 3.98/1.15 zip_derived_cl117, zip_derived_cl118, zip_derived_cl119,
% 3.98/1.15 zip_derived_cl120, zip_derived_cl122, zip_derived_cl125,
% 3.98/1.15 zip_derived_cl127, zip_derived_cl131, zip_derived_cl135,
% 3.98/1.15 zip_derived_cl136, zip_derived_cl139, zip_derived_cl142])).
% 3.98/1.15 thf(clause59, conjecture,
% 3.98/1.15 (~( ( ssPv25_4r1r1r1r1 @ U @ V @ W @ X ) |
% 3.98/1.15 ( ssPv20_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) |
% 3.98/1.15 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 3.98/1.15 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 3.98/1.15 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 3.98/1.15 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 3.98/1.15 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 3.98/1.15 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 3.98/1.15 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 3.98/1.15 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 3.98/1.15 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 3.98/1.15 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 3.98/1.15 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 3.98/1.15 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 3.98/1.15 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 3.98/1.15 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 3.98/1.15 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 3.98/1.15 ( ~( ssPv14_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 3.98/1.15 ( ~( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 3.98/1.15 X9 @ X10 ) ) |
% 3.98/1.15 ( ~( ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 3.98/1.15 X9 @ X10 @ X11 ) ) |
% 3.98/1.15 ( ~( ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 3.98/1.15 X9 @ X10 @ X11 @ X12 ) ) |
% 3.98/1.15 ( ~( ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 3.98/1.15 X9 @ X10 @ X11 @ X12 @ X13 ) ) |
% 3.98/1.15 ( ~( ssPv8_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 3.98/1.15 X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 ) ) |
% 3.98/1.15 ( ~( ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 3.98/1.15 X9 @ X10 @ X11 @ X12 @ X13 @ X14 ) ) ))).
% 3.98/1.15 thf(zf_stmt_26, negated_conjecture,
% 3.98/1.15 (( ssPv25_4r1r1r1r1 @ U @ V @ W @ X ) |
% 3.98/1.15 ( ssPv20_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) |
% 3.98/1.15 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 3.98/1.15 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 3.98/1.15 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 3.98/1.15 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 3.98/1.15 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 3.98/1.15 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 3.98/1.15 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 3.98/1.15 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 3.98/1.15 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 3.98/1.15 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 3.98/1.15 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 3.98/1.15 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 3.98/1.15 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 3.98/1.15 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 3.98/1.15 ( ~( ssPv14_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 3.98/1.15 ( ~( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 3.98/1.15 X10 ) ) |
% 3.98/1.15 ( ~( ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 3.98/1.15 X10 @ X11 ) ) |
% 3.98/1.15 ( ~( ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 3.98/1.15 X10 @ X11 @ X12 ) ) |
% 3.98/1.15 ( ~( ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 3.98/1.15 X10 @ X11 @ X12 @ X13 ) ) |
% 3.98/1.15 ( ~( ssPv8_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 3.98/1.15 X10 @ X11 @ X12 @ X13 @ X14 @ X15 ) ) |
% 3.98/1.15 ( ~( ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 3.98/1.15 X10 @ X11 @ X12 @ X13 @ X14 ) )),
% 3.98/1.15 inference('cnf.neg', [status(esa)], [clause59])).
% 3.98/1.15 thf(zip_derived_cl58, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.98/1.15 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 3.98/1.15 X14 : $i, X15 : $i, X16 : $i, X17 : $i, X18 : $i, X19 : $i, X20 : $i]:
% 3.98/1.15 ( (ssPv25_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 3.98/1.15 | (ssPv20_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 3.98/1.15 X7 @ X8)
% 3.98/1.15 | ~ (ssNder1_0)
% 3.98/1.15 | ~ (ssNder1_1r1 @ X0)
% 3.98/1.15 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 3.98/1.15 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 3.98/1.15 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 3.98/1.15 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 3.98/1.15 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 3.98/1.15 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 3.98/1.15 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 3.98/1.15 X7)
% 3.98/1.15 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 3.98/1.15 X6 @ X7 @ X8)
% 3.98/1.15 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 3.98/1.15 X6 @ X7 @ X8 @ X9)
% 3.98/1.15 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.98/1.15 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 3.98/1.15 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.98/1.15 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 3.98/1.15 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.98/1.15 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 3.98/1.15 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 3.98/1.15 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 3.98/1.15 | ~ (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 3.98/1.15 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 3.98/1.15 | ~ (ssPv14_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 3.98/1.15 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 3.98/1.15 | ~ (ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 3.98/1.15 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 3.98/1.15 X14 @ X15)
% 3.98/1.15 | ~ (ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 3.98/1.15 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 3.98/1.15 X14 @ X15 @ X16)
% 3.98/1.15 | ~ (ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 3.98/1.15 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 3.98/1.15 X14 @ X15 @ X16 @ X17)
% 3.98/1.15 | ~ (ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @
% 3.98/1.15 X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 3.98/1.15 X14 @ X15 @ X16 @ X17 @ X18)
% 3.98/1.15 | ~ (ssPv8_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @
% 3.98/1.15 X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 3.98/1.15 X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20)
% 3.98/1.15 | ~ (ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @
% 3.98/1.15 X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 3.98/1.15 X14 @ X15 @ X16 @ X17 @ X18 @ X19))),
% 3.98/1.15 inference('cnf', [status(esa)], [zf_stmt_26])).
% 3.98/1.15 thf(zip_derived_cl0, plain, ( (ssNder1_0)),
% 3.98/1.15 inference('cnf', [status(esa)], [zf_stmt_1])).
% 3.98/1.15 thf(zip_derived_cl102, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 3.98/1.15 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 3.98/1.15 thf(zip_derived_cl103, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl2, zip_derived_cl0, zip_derived_cl102])).
% 3.98/1.15 thf(zip_derived_cl104, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl3, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.15 zip_derived_cl103])).
% 3.98/1.15 thf(zip_derived_cl106, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 3.98/1.15 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl4, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.15 zip_derived_cl103, zip_derived_cl104])).
% 3.98/1.15 thf(zip_derived_cl108, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 3.98/1.15 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl7, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.15 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106])).
% 3.98/1.15 thf(zip_derived_cl111, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 3.98/1.15 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl10, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.15 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.15 zip_derived_cl108])).
% 3.98/1.15 thf(zip_derived_cl115, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 3.98/1.15 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl13, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.15 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.15 zip_derived_cl108, zip_derived_cl111])).
% 3.98/1.15 thf(zip_derived_cl117, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 3.98/1.15 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl16, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.15 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.15 zip_derived_cl108, zip_derived_cl111, zip_derived_cl115])).
% 3.98/1.15 thf(zip_derived_cl118, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.98/1.15 X7 : $i, X8 : $i]:
% 3.98/1.15 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 3.98/1.15 X7 @ X8)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl17, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.15 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.15 zip_derived_cl108, zip_derived_cl111, zip_derived_cl115,
% 3.98/1.15 zip_derived_cl117])).
% 3.98/1.15 thf(zip_derived_cl119, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.98/1.15 X7 : $i, X8 : $i, X9 : $i]:
% 3.98/1.15 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 3.98/1.15 X7 @ X8 @ X9)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl18, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.15 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.15 zip_derived_cl108, zip_derived_cl111, zip_derived_cl115,
% 3.98/1.15 zip_derived_cl117, zip_derived_cl118])).
% 3.98/1.15 thf(zip_derived_cl120, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.98/1.15 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 3.98/1.15 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 3.98/1.15 X6 @ X7 @ X8 @ X9 @ X10)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl19, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.15 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.15 zip_derived_cl108, zip_derived_cl111, zip_derived_cl115,
% 3.98/1.15 zip_derived_cl117, zip_derived_cl118, zip_derived_cl119])).
% 3.98/1.15 thf(zip_derived_cl122, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.98/1.15 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 3.98/1.15 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 3.98/1.15 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl20, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.15 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.15 zip_derived_cl108, zip_derived_cl111, zip_derived_cl115,
% 3.98/1.15 zip_derived_cl117, zip_derived_cl118, zip_derived_cl119,
% 3.98/1.15 zip_derived_cl120])).
% 3.98/1.15 thf(zip_derived_cl125, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.98/1.15 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 3.98/1.15 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.98/1.15 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl23, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.15 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.15 zip_derived_cl108, zip_derived_cl111, zip_derived_cl115,
% 3.98/1.15 zip_derived_cl117, zip_derived_cl118, zip_derived_cl119,
% 3.98/1.15 zip_derived_cl120, zip_derived_cl122])).
% 3.98/1.15 thf(zip_derived_cl127, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.98/1.15 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 3.98/1.15 (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.98/1.15 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl26, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.15 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.15 zip_derived_cl108, zip_derived_cl111, zip_derived_cl115,
% 3.98/1.15 zip_derived_cl117, zip_derived_cl118, zip_derived_cl119,
% 3.98/1.15 zip_derived_cl120, zip_derived_cl122, zip_derived_cl125])).
% 3.98/1.15 thf(zip_derived_cl131, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.98/1.15 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 3.98/1.15 X14 : $i]:
% 3.98/1.15 (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.98/1.15 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl29, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.15 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.15 zip_derived_cl108, zip_derived_cl111, zip_derived_cl115,
% 3.98/1.15 zip_derived_cl117, zip_derived_cl118, zip_derived_cl119,
% 3.98/1.15 zip_derived_cl120, zip_derived_cl122, zip_derived_cl125,
% 3.98/1.15 zip_derived_cl127])).
% 3.98/1.15 thf(zip_derived_cl135, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.98/1.15 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 3.98/1.15 X14 : $i, X15 : $i]:
% 3.98/1.15 (ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 3.98/1.15 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl33, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.15 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.15 zip_derived_cl108, zip_derived_cl111, zip_derived_cl115,
% 3.98/1.15 zip_derived_cl117, zip_derived_cl118, zip_derived_cl119,
% 3.98/1.15 zip_derived_cl120, zip_derived_cl122, zip_derived_cl125,
% 3.98/1.15 zip_derived_cl127, zip_derived_cl131])).
% 3.98/1.15 thf(zip_derived_cl136, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.98/1.15 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 3.98/1.15 X14 : $i, X15 : $i, X16 : $i]:
% 3.98/1.15 (ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 3.98/1.15 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @
% 3.98/1.15 X16)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl34, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.15 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.15 zip_derived_cl108, zip_derived_cl111, zip_derived_cl115,
% 3.98/1.15 zip_derived_cl117, zip_derived_cl118, zip_derived_cl119,
% 3.98/1.15 zip_derived_cl120, zip_derived_cl122, zip_derived_cl125,
% 3.98/1.15 zip_derived_cl127, zip_derived_cl131, zip_derived_cl135])).
% 3.98/1.15 thf(zip_derived_cl139, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.98/1.15 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 3.98/1.15 X14 : $i, X15 : $i, X16 : $i, X17 : $i]:
% 3.98/1.15 (ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 3.98/1.15 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @
% 3.98/1.15 X15 @ X16 @ X17)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl36, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.15 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.15 zip_derived_cl108, zip_derived_cl111, zip_derived_cl115,
% 3.98/1.15 zip_derived_cl117, zip_derived_cl118, zip_derived_cl119,
% 3.98/1.15 zip_derived_cl120, zip_derived_cl122, zip_derived_cl125,
% 3.98/1.15 zip_derived_cl127, zip_derived_cl131, zip_derived_cl135,
% 3.98/1.15 zip_derived_cl136])).
% 3.98/1.15 thf(zip_derived_cl142, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.98/1.15 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 3.98/1.15 X14 : $i, X15 : $i, X16 : $i, X17 : $i, X18 : $i]:
% 3.98/1.15 (ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 3.98/1.15 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @
% 3.98/1.15 X15 @ X16 @ X17 @ X18)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl39, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.15 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.15 zip_derived_cl108, zip_derived_cl111, zip_derived_cl115,
% 3.98/1.15 zip_derived_cl117, zip_derived_cl118, zip_derived_cl119,
% 3.98/1.15 zip_derived_cl120, zip_derived_cl122, zip_derived_cl125,
% 3.98/1.15 zip_derived_cl127, zip_derived_cl131, zip_derived_cl135,
% 3.98/1.15 zip_derived_cl136, zip_derived_cl139])).
% 3.98/1.15 thf(zip_derived_cl146, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.98/1.15 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 3.98/1.15 X14 : $i, X15 : $i, X16 : $i, X17 : $i, X18 : $i, X19 : $i]:
% 3.98/1.15 (ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 3.98/1.15 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @
% 3.98/1.15 X15 @ X16 @ X17 @ X18 @ X19)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl41, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.15 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.15 zip_derived_cl108, zip_derived_cl111, zip_derived_cl115,
% 3.98/1.15 zip_derived_cl117, zip_derived_cl118, zip_derived_cl119,
% 3.98/1.15 zip_derived_cl120, zip_derived_cl122, zip_derived_cl125,
% 3.98/1.15 zip_derived_cl127, zip_derived_cl131, zip_derived_cl135,
% 3.98/1.15 zip_derived_cl136, zip_derived_cl139, zip_derived_cl142])).
% 3.98/1.15 thf(zip_derived_cl168, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.98/1.15 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 3.98/1.15 X14 : $i, X15 : $i, X16 : $i, X17 : $i, X18 : $i, X19 : $i, X20 : $i]:
% 3.98/1.15 ( (ssPv25_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 3.98/1.15 | (ssPv20_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 3.98/1.15 X7 @ X8)
% 3.98/1.15 | ~ (ssPv14_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 3.98/1.15 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 3.98/1.15 | ~ (ssPv8_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @
% 3.98/1.15 X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 3.98/1.15 X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20))),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl58, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.15 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.15 zip_derived_cl108, zip_derived_cl111, zip_derived_cl115,
% 3.98/1.15 zip_derived_cl117, zip_derived_cl118, zip_derived_cl119,
% 3.98/1.15 zip_derived_cl120, zip_derived_cl122, zip_derived_cl125,
% 3.98/1.15 zip_derived_cl127, zip_derived_cl131, zip_derived_cl135,
% 3.98/1.15 zip_derived_cl136, zip_derived_cl139, zip_derived_cl142,
% 3.98/1.15 zip_derived_cl146])).
% 3.98/1.15 thf(zip_derived_cl169, plain,
% 3.98/1.15 (![X5 : $i, X6 : $i, X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i,
% 3.98/1.15 X12 : $i, X13 : $i, X14 : $i, X15 : $i, X16 : $i, X17 : $i, X18 : $i,
% 3.98/1.15 X19 : $i]:
% 3.98/1.15 (~ (ssPv14_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X19 @ X18 @ X17 @ X16 @
% 3.98/1.15 X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5)
% 3.98/1.15 | (ssPv20_9r1r1r1r1r1r1r1r1r1 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @
% 3.98/1.15 X13 @ X12 @ X11)
% 3.98/1.15 | (ssPv25_4r1r1r1r1 @ X19 @ X18 @ X17 @ X16))),
% 3.98/1.15 inference('sup-', [status(thm)], [zip_derived_cl147, zip_derived_cl168])).
% 3.98/1.15 thf(zip_derived_cl170, plain,
% 3.98/1.15 (![X5 : $i, X6 : $i, X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i,
% 3.98/1.15 X12 : $i, X13 : $i]:
% 3.98/1.15 ( (ssPv25_4r1r1r1r1 @ X13 @ X12 @ X11 @ X10)
% 3.98/1.15 | (ssPv20_9r1r1r1r1r1r1r1r1r1 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @
% 3.98/1.15 X7 @ X6 @ X5))),
% 3.98/1.15 inference('sup-', [status(thm)], [zip_derived_cl128, zip_derived_cl169])).
% 3.98/1.15 thf(clause39, conjecture,
% 3.98/1.15 (~( ( ssPv21_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) |
% 3.98/1.15 ( ssPv15_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) |
% 3.98/1.15 ( ssPv12_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 3.98/1.15 X10 @ X11 ) |
% 3.98/1.15 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 3.98/1.15 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 3.98/1.15 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 3.98/1.15 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 3.98/1.15 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 3.98/1.15 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 3.98/1.15 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 3.98/1.15 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 3.98/1.15 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 3.98/1.15 ( ~( ssPv20_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 3.98/1.15 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 3.98/1.15 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 3.98/1.15 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 3.98/1.15 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 3.98/1.15 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 3.98/1.15 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 3.98/1.15 ( ~( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 3.98/1.15 X9 @ X10 ) ) ))).
% 3.98/1.15 thf(zf_stmt_27, negated_conjecture,
% 3.98/1.15 (( ssPv21_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) |
% 3.98/1.15 ( ssPv15_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) |
% 3.98/1.15 ( ssPv12_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 3.98/1.15 X10 @ X11 ) |
% 3.98/1.15 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 3.98/1.15 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 3.98/1.15 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 3.98/1.15 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 3.98/1.15 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 3.98/1.15 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 3.98/1.15 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 3.98/1.15 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 3.98/1.15 ( ~( ssPv20_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 3.98/1.15 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 3.98/1.15 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 3.98/1.15 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 3.98/1.15 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 3.98/1.15 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 3.98/1.15 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 3.98/1.15 ( ~( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 3.98/1.15 X10 ) )),
% 3.98/1.15 inference('cnf.neg', [status(esa)], [clause39])).
% 3.98/1.15 thf(zip_derived_cl38, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.98/1.15 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 3.98/1.15 X14 : $i, X15 : $i, X16 : $i]:
% 3.98/1.15 ( (ssPv21_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)
% 3.98/1.15 | (ssPv15_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.98/1.15 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 3.98/1.15 | (ssPv12_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 3.98/1.15 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @
% 3.98/1.15 X15 @ X16)
% 3.98/1.15 | ~ (ssNder1_0)
% 3.98/1.15 | ~ (ssNder1_1r1 @ X0)
% 3.98/1.15 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 3.98/1.15 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 3.98/1.15 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 3.98/1.15 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 3.98/1.15 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 3.98/1.15 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 3.98/1.15 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 3.98/1.15 X7)
% 3.98/1.15 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 3.98/1.15 X6 @ X7 @ X8)
% 3.98/1.15 | ~ (ssPv20_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 3.98/1.15 X7 @ X8)
% 3.98/1.15 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 3.98/1.15 X6 @ X7 @ X8 @ X9)
% 3.98/1.15 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.98/1.15 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 3.98/1.15 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.98/1.15 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 3.98/1.15 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.98/1.15 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 3.98/1.15 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 3.98/1.15 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 3.98/1.15 | ~ (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 3.98/1.15 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 3.98/1.15 | ~ (ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 3.98/1.15 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 3.98/1.15 X14 @ X15))),
% 3.98/1.15 inference('cnf', [status(esa)], [zf_stmt_27])).
% 3.98/1.15 thf(zip_derived_cl0, plain, ( (ssNder1_0)),
% 3.98/1.15 inference('cnf', [status(esa)], [zf_stmt_1])).
% 3.98/1.15 thf(zip_derived_cl102, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 3.98/1.15 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 3.98/1.15 thf(zip_derived_cl103, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl2, zip_derived_cl0, zip_derived_cl102])).
% 3.98/1.15 thf(zip_derived_cl104, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl3, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.15 zip_derived_cl103])).
% 3.98/1.15 thf(zip_derived_cl106, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 3.98/1.15 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl4, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.15 zip_derived_cl103, zip_derived_cl104])).
% 3.98/1.15 thf(zip_derived_cl108, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 3.98/1.15 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl7, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.15 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106])).
% 3.98/1.15 thf(zip_derived_cl111, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 3.98/1.15 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl10, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.15 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.15 zip_derived_cl108])).
% 3.98/1.15 thf(zip_derived_cl115, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 3.98/1.15 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl13, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.15 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.15 zip_derived_cl108, zip_derived_cl111])).
% 3.98/1.15 thf(zip_derived_cl117, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 3.98/1.15 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl16, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.15 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.15 zip_derived_cl108, zip_derived_cl111, zip_derived_cl115])).
% 3.98/1.15 thf(zip_derived_cl118, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.98/1.15 X7 : $i, X8 : $i]:
% 3.98/1.15 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 3.98/1.15 X7 @ X8)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl17, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.15 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.15 zip_derived_cl108, zip_derived_cl111, zip_derived_cl115,
% 3.98/1.15 zip_derived_cl117])).
% 3.98/1.15 thf(zip_derived_cl119, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.98/1.15 X7 : $i, X8 : $i, X9 : $i]:
% 3.98/1.15 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 3.98/1.15 X7 @ X8 @ X9)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl18, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.15 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.15 zip_derived_cl108, zip_derived_cl111, zip_derived_cl115,
% 3.98/1.15 zip_derived_cl117, zip_derived_cl118])).
% 3.98/1.15 thf(zip_derived_cl120, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.98/1.15 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 3.98/1.15 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 3.98/1.15 X6 @ X7 @ X8 @ X9 @ X10)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl19, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.15 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.15 zip_derived_cl108, zip_derived_cl111, zip_derived_cl115,
% 3.98/1.15 zip_derived_cl117, zip_derived_cl118, zip_derived_cl119])).
% 3.98/1.15 thf(zip_derived_cl122, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.98/1.15 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 3.98/1.15 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 3.98/1.15 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl20, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.15 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.15 zip_derived_cl108, zip_derived_cl111, zip_derived_cl115,
% 3.98/1.15 zip_derived_cl117, zip_derived_cl118, zip_derived_cl119,
% 3.98/1.15 zip_derived_cl120])).
% 3.98/1.15 thf(zip_derived_cl125, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.98/1.15 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 3.98/1.15 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.98/1.15 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl23, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.15 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.15 zip_derived_cl108, zip_derived_cl111, zip_derived_cl115,
% 3.98/1.15 zip_derived_cl117, zip_derived_cl118, zip_derived_cl119,
% 3.98/1.15 zip_derived_cl120, zip_derived_cl122])).
% 3.98/1.15 thf(zip_derived_cl127, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.98/1.15 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 3.98/1.15 (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.98/1.15 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl26, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.15 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.15 zip_derived_cl108, zip_derived_cl111, zip_derived_cl115,
% 3.98/1.15 zip_derived_cl117, zip_derived_cl118, zip_derived_cl119,
% 3.98/1.15 zip_derived_cl120, zip_derived_cl122, zip_derived_cl125])).
% 3.98/1.15 thf(zip_derived_cl131, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.98/1.15 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 3.98/1.15 X14 : $i]:
% 3.98/1.15 (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.98/1.15 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl29, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.15 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.15 zip_derived_cl108, zip_derived_cl111, zip_derived_cl115,
% 3.98/1.15 zip_derived_cl117, zip_derived_cl118, zip_derived_cl119,
% 3.98/1.15 zip_derived_cl120, zip_derived_cl122, zip_derived_cl125,
% 3.98/1.15 zip_derived_cl127])).
% 3.98/1.15 thf(zip_derived_cl135, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.98/1.15 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 3.98/1.15 X14 : $i, X15 : $i]:
% 3.98/1.15 (ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 3.98/1.15 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl33, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.15 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.15 zip_derived_cl108, zip_derived_cl111, zip_derived_cl115,
% 3.98/1.15 zip_derived_cl117, zip_derived_cl118, zip_derived_cl119,
% 3.98/1.15 zip_derived_cl120, zip_derived_cl122, zip_derived_cl125,
% 3.98/1.15 zip_derived_cl127, zip_derived_cl131])).
% 3.98/1.15 thf(zip_derived_cl141, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.98/1.15 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 3.98/1.15 X14 : $i, X15 : $i, X16 : $i]:
% 3.98/1.15 ( (ssPv21_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)
% 3.98/1.15 | (ssPv15_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.98/1.15 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 3.98/1.15 | (ssPv12_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 3.98/1.15 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @
% 3.98/1.15 X15 @ X16)
% 3.98/1.15 | ~ (ssPv20_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 3.98/1.15 X7 @ X8))),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl38, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.15 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.15 zip_derived_cl108, zip_derived_cl111, zip_derived_cl115,
% 3.98/1.15 zip_derived_cl117, zip_derived_cl118, zip_derived_cl119,
% 3.98/1.15 zip_derived_cl120, zip_derived_cl122, zip_derived_cl125,
% 3.98/1.15 zip_derived_cl127, zip_derived_cl131, zip_derived_cl135])).
% 3.98/1.15 thf(zip_derived_cl172, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.98/1.15 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 3.98/1.15 X14 : $i, X15 : $i, X16 : $i]:
% 3.98/1.15 ( (ssPv25_4r1r1r1r1 @ X8 @ X7 @ X6 @ X5)
% 3.98/1.15 | (ssPv12_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X8 @ X7 @ X6 @
% 3.98/1.15 X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X16 @ X15 @ X14 @ X13 @ X12 @
% 3.98/1.15 X11 @ X10 @ X9)
% 3.98/1.15 | (ssPv15_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X8 @ X7 @ X6 @ X5 @ X4 @
% 3.98/1.15 X3 @ X2 @ X1 @ X0 @ X16 @ X15 @ X14 @ X13 @ X12)
% 3.98/1.15 | (ssPv21_8r1r1r1r1r1r1r1r1 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1))),
% 3.98/1.15 inference('sup-', [status(thm)], [zip_derived_cl170, zip_derived_cl141])).
% 3.98/1.15 thf(clause26, conjecture,
% 3.98/1.15 (~( ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 3.98/1.15 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 3.98/1.15 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 3.98/1.15 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 3.98/1.15 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 3.98/1.15 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 3.98/1.15 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 3.98/1.15 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 3.98/1.15 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 3.98/1.15 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 3.98/1.15 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 3.98/1.15 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 3.98/1.15 ( ~( ssPv15_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ skc37 ) ) ))).
% 3.98/1.15 thf(zf_stmt_28, negated_conjecture,
% 3.98/1.15 (( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 3.98/1.15 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 3.98/1.15 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 3.98/1.15 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 3.98/1.15 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 3.98/1.15 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 3.98/1.15 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 3.98/1.15 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 3.98/1.15 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 3.98/1.15 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 3.98/1.15 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 3.98/1.15 ( ~( ssPv15_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ skc37 ) )),
% 3.98/1.15 inference('cnf.neg', [status(esa)], [clause26])).
% 3.98/1.15 thf(zip_derived_cl25, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.98/1.15 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 3.98/1.15 (~ (ssNder1_0)
% 3.98/1.15 | ~ (ssNder1_1r1 @ X0)
% 3.98/1.15 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 3.98/1.15 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 3.98/1.15 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 3.98/1.15 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 3.98/1.15 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 3.98/1.15 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 3.98/1.15 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 3.98/1.15 X7)
% 3.98/1.15 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 3.98/1.15 X6 @ X7 @ X8)
% 3.98/1.15 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 3.98/1.15 X6 @ X7 @ X8 @ X9)
% 3.98/1.15 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.98/1.15 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 3.98/1.15 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.98/1.15 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 3.98/1.15 | ~ (ssPv15_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 3.98/1.15 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ skc37))),
% 3.98/1.15 inference('cnf', [status(esa)], [zf_stmt_28])).
% 3.98/1.15 thf(zip_derived_cl0, plain, ( (ssNder1_0)),
% 3.98/1.15 inference('cnf', [status(esa)], [zf_stmt_1])).
% 3.98/1.15 thf(zip_derived_cl102, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 3.98/1.15 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 3.98/1.15 thf(zip_derived_cl103, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl2, zip_derived_cl0, zip_derived_cl102])).
% 3.98/1.15 thf(zip_derived_cl104, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl3, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.15 zip_derived_cl103])).
% 3.98/1.15 thf(zip_derived_cl106, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 3.98/1.15 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl4, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.15 zip_derived_cl103, zip_derived_cl104])).
% 3.98/1.15 thf(zip_derived_cl108, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 3.98/1.15 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl7, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.15 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106])).
% 3.98/1.15 thf(zip_derived_cl111, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 3.98/1.15 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl10, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.15 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.15 zip_derived_cl108])).
% 3.98/1.15 thf(zip_derived_cl115, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 3.98/1.15 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl13, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.15 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.15 zip_derived_cl108, zip_derived_cl111])).
% 3.98/1.15 thf(zip_derived_cl117, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 3.98/1.15 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl16, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.15 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.15 zip_derived_cl108, zip_derived_cl111, zip_derived_cl115])).
% 3.98/1.15 thf(zip_derived_cl118, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.98/1.15 X7 : $i, X8 : $i]:
% 3.98/1.15 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 3.98/1.15 X7 @ X8)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl17, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.15 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.15 zip_derived_cl108, zip_derived_cl111, zip_derived_cl115,
% 3.98/1.15 zip_derived_cl117])).
% 3.98/1.15 thf(zip_derived_cl119, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.98/1.15 X7 : $i, X8 : $i, X9 : $i]:
% 3.98/1.15 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 3.98/1.15 X7 @ X8 @ X9)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl18, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.15 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.15 zip_derived_cl108, zip_derived_cl111, zip_derived_cl115,
% 3.98/1.15 zip_derived_cl117, zip_derived_cl118])).
% 3.98/1.15 thf(zip_derived_cl120, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.98/1.15 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 3.98/1.15 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 3.98/1.15 X6 @ X7 @ X8 @ X9 @ X10)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl19, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.15 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.15 zip_derived_cl108, zip_derived_cl111, zip_derived_cl115,
% 3.98/1.15 zip_derived_cl117, zip_derived_cl118, zip_derived_cl119])).
% 3.98/1.15 thf(zip_derived_cl122, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.98/1.15 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 3.98/1.15 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 3.98/1.15 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl20, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.15 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.15 zip_derived_cl108, zip_derived_cl111, zip_derived_cl115,
% 3.98/1.15 zip_derived_cl117, zip_derived_cl118, zip_derived_cl119,
% 3.98/1.15 zip_derived_cl120])).
% 3.98/1.15 thf(zip_derived_cl124, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.98/1.15 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 3.98/1.15 ~ (ssPv15_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.98/1.15 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ skc37)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl25, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.15 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.15 zip_derived_cl108, zip_derived_cl111, zip_derived_cl115,
% 3.98/1.15 zip_derived_cl117, zip_derived_cl118, zip_derived_cl119,
% 3.98/1.15 zip_derived_cl120, zip_derived_cl122])).
% 3.98/1.15 thf(zip_derived_cl188, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.98/1.15 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 3.98/1.15 X14 : $i, X15 : $i]:
% 3.98/1.15 ( (ssPv21_8r1r1r1r1r1r1r1r1 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5)
% 3.98/1.15 | (ssPv12_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X12 @ X11 @ X10 @
% 3.98/1.15 X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ skc37 @ X15 @
% 3.98/1.15 X14 @ X13)
% 3.98/1.15 | (ssPv25_4r1r1r1r1 @ X12 @ X11 @ X10 @ X9))),
% 3.98/1.15 inference('sup-', [status(thm)], [zip_derived_cl172, zip_derived_cl124])).
% 3.98/1.15 thf(clause38, conjecture,
% 3.98/1.15 (~( ( ssPv25_4r1r1r1r1 @ U @ V @ W @ X ) |
% 3.98/1.15 ( ssPv13_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 3.98/1.15 X10 ) |
% 3.98/1.15 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 3.98/1.15 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 3.98/1.15 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 3.98/1.15 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 3.98/1.15 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 3.98/1.15 ( ~( ssPv24_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 3.98/1.15 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 3.98/1.15 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 3.98/1.15 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 3.98/1.15 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 3.98/1.15 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 3.98/1.15 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 3.98/1.15 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 3.98/1.15 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 3.98/1.15 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 3.98/1.15 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 3.98/1.15 ( ~( ssPv12_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 3.98/1.15 X9 @ X10 @ X11 ) ) |
% 3.98/1.15 ( ~( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 3.98/1.15 X9 @ X10 ) ) ))).
% 3.98/1.15 thf(zf_stmt_29, negated_conjecture,
% 3.98/1.15 (( ssPv25_4r1r1r1r1 @ U @ V @ W @ X ) |
% 3.98/1.15 ( ssPv13_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 ) |
% 3.98/1.15 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 3.98/1.15 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 3.98/1.15 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 3.98/1.15 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 3.98/1.15 ( ~( ssPv24_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 3.98/1.15 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 3.98/1.15 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 3.98/1.15 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 3.98/1.15 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 3.98/1.15 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 3.98/1.15 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 3.98/1.15 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 3.98/1.15 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 3.98/1.15 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 3.98/1.15 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 3.98/1.15 ( ~( ssPv12_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 3.98/1.15 X10 @ X11 ) ) |
% 3.98/1.15 ( ~( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 3.98/1.15 X10 ) )),
% 3.98/1.15 inference('cnf.neg', [status(esa)], [clause38])).
% 3.98/1.15 thf(zip_derived_cl37, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.98/1.15 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 3.98/1.15 X14 : $i, X15 : $i, X16 : $i]:
% 3.98/1.15 ( (ssPv25_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 3.98/1.15 | (ssPv13_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 3.98/1.15 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15)
% 3.98/1.15 | ~ (ssNder1_0)
% 3.98/1.15 | ~ (ssNder1_1r1 @ X0)
% 3.98/1.15 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 3.98/1.15 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 3.98/1.15 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 3.98/1.15 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 3.98/1.15 | ~ (ssPv24_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 3.98/1.15 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 3.98/1.15 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 3.98/1.15 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 3.98/1.15 X7)
% 3.98/1.15 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 3.98/1.15 X6 @ X7 @ X8)
% 3.98/1.15 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 3.98/1.15 X6 @ X7 @ X8 @ X9)
% 3.98/1.15 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.98/1.15 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 3.98/1.15 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.98/1.15 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 3.98/1.15 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.98/1.15 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 3.98/1.15 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 3.98/1.15 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 3.98/1.15 | ~ (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 3.98/1.15 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 3.98/1.15 | ~ (ssPv12_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 3.98/1.15 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 3.98/1.15 X14 @ X15 @ X16)
% 3.98/1.15 | ~ (ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 3.98/1.15 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 3.98/1.15 X14 @ X15))),
% 3.98/1.15 inference('cnf', [status(esa)], [zf_stmt_29])).
% 3.98/1.15 thf(zip_derived_cl0, plain, ( (ssNder1_0)),
% 3.98/1.15 inference('cnf', [status(esa)], [zf_stmt_1])).
% 3.98/1.15 thf(zip_derived_cl102, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 3.98/1.15 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 3.98/1.15 thf(zip_derived_cl103, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl2, zip_derived_cl0, zip_derived_cl102])).
% 3.98/1.15 thf(zip_derived_cl104, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl3, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.15 zip_derived_cl103])).
% 3.98/1.15 thf(zip_derived_cl106, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 3.98/1.15 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl4, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.15 zip_derived_cl103, zip_derived_cl104])).
% 3.98/1.15 thf(zip_derived_cl108, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 3.98/1.15 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl7, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.15 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106])).
% 3.98/1.15 thf(zip_derived_cl111, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 3.98/1.15 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl10, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.15 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.15 zip_derived_cl108])).
% 3.98/1.15 thf(zip_derived_cl115, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 3.98/1.15 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl13, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.15 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.15 zip_derived_cl108, zip_derived_cl111])).
% 3.98/1.15 thf(zip_derived_cl117, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 3.98/1.15 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl16, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.15 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.15 zip_derived_cl108, zip_derived_cl111, zip_derived_cl115])).
% 3.98/1.15 thf(zip_derived_cl118, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.98/1.15 X7 : $i, X8 : $i]:
% 3.98/1.15 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 3.98/1.15 X7 @ X8)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl17, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.15 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.15 zip_derived_cl108, zip_derived_cl111, zip_derived_cl115,
% 3.98/1.15 zip_derived_cl117])).
% 3.98/1.15 thf(zip_derived_cl119, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.98/1.15 X7 : $i, X8 : $i, X9 : $i]:
% 3.98/1.15 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 3.98/1.15 X7 @ X8 @ X9)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl18, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.15 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.15 zip_derived_cl108, zip_derived_cl111, zip_derived_cl115,
% 3.98/1.15 zip_derived_cl117, zip_derived_cl118])).
% 3.98/1.15 thf(zip_derived_cl120, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.98/1.15 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 3.98/1.15 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 3.98/1.15 X6 @ X7 @ X8 @ X9 @ X10)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl19, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.15 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.15 zip_derived_cl108, zip_derived_cl111, zip_derived_cl115,
% 3.98/1.15 zip_derived_cl117, zip_derived_cl118, zip_derived_cl119])).
% 3.98/1.15 thf(zip_derived_cl122, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.98/1.15 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 3.98/1.15 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 3.98/1.15 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl20, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.15 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.15 zip_derived_cl108, zip_derived_cl111, zip_derived_cl115,
% 3.98/1.15 zip_derived_cl117, zip_derived_cl118, zip_derived_cl119,
% 3.98/1.15 zip_derived_cl120])).
% 3.98/1.15 thf(zip_derived_cl125, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.98/1.15 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 3.98/1.15 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.98/1.15 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl23, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.15 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.15 zip_derived_cl108, zip_derived_cl111, zip_derived_cl115,
% 3.98/1.15 zip_derived_cl117, zip_derived_cl118, zip_derived_cl119,
% 3.98/1.15 zip_derived_cl120, zip_derived_cl122])).
% 3.98/1.15 thf(zip_derived_cl127, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.98/1.15 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 3.98/1.15 (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.98/1.15 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl26, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.15 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.15 zip_derived_cl108, zip_derived_cl111, zip_derived_cl115,
% 3.98/1.15 zip_derived_cl117, zip_derived_cl118, zip_derived_cl119,
% 3.98/1.15 zip_derived_cl120, zip_derived_cl122, zip_derived_cl125])).
% 3.98/1.15 thf(zip_derived_cl131, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.98/1.15 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 3.98/1.15 X14 : $i]:
% 3.98/1.15 (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.98/1.15 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl29, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.15 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.15 zip_derived_cl108, zip_derived_cl111, zip_derived_cl115,
% 3.98/1.15 zip_derived_cl117, zip_derived_cl118, zip_derived_cl119,
% 3.98/1.15 zip_derived_cl120, zip_derived_cl122, zip_derived_cl125,
% 3.98/1.15 zip_derived_cl127])).
% 3.98/1.15 thf(zip_derived_cl135, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.98/1.15 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 3.98/1.15 X14 : $i, X15 : $i]:
% 3.98/1.15 (ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 3.98/1.15 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl33, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.15 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.15 zip_derived_cl108, zip_derived_cl111, zip_derived_cl115,
% 3.98/1.15 zip_derived_cl117, zip_derived_cl118, zip_derived_cl119,
% 3.98/1.15 zip_derived_cl120, zip_derived_cl122, zip_derived_cl125,
% 3.98/1.15 zip_derived_cl127, zip_derived_cl131])).
% 3.98/1.15 thf(zip_derived_cl140, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.98/1.15 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 3.98/1.15 X14 : $i, X15 : $i, X16 : $i]:
% 3.98/1.15 ( (ssPv25_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 3.98/1.15 | (ssPv13_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 3.98/1.15 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15)
% 3.98/1.15 | ~ (ssPv24_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 3.98/1.15 | ~ (ssPv12_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 3.98/1.15 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 3.98/1.15 X14 @ X15 @ X16))),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl37, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.15 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.15 zip_derived_cl108, zip_derived_cl111, zip_derived_cl115,
% 3.98/1.15 zip_derived_cl117, zip_derived_cl118, zip_derived_cl119,
% 3.98/1.15 zip_derived_cl120, zip_derived_cl122, zip_derived_cl125,
% 3.98/1.15 zip_derived_cl127, zip_derived_cl131, zip_derived_cl135])).
% 3.98/1.15 thf(zip_derived_cl191, plain,
% 3.98/1.15 (![X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i,
% 3.98/1.15 X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i, X14 : $i,
% 3.98/1.15 X15 : $i]:
% 3.98/1.15 ( (ssPv25_4r1r1r1r1 @ X15 @ X14 @ X13 @ X12)
% 3.98/1.15 | (ssPv21_8r1r1r1r1r1r1r1r1 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @
% 3.98/1.15 X9 @ X8)
% 3.98/1.15 | ~ (ssPv24_5r1r1r1r1r1 @ X15 @ X14 @ X13 @ X12 @ X11)
% 3.98/1.15 | (ssPv13_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X15 @ X14 @ X13 @
% 3.98/1.15 X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ skc37 @
% 3.98/1.15 X2 @ X1)
% 3.98/1.15 | (ssPv25_4r1r1r1r1 @ X15 @ X14 @ X13 @ X12))),
% 3.98/1.15 inference('sup-', [status(thm)], [zip_derived_cl188, zip_derived_cl140])).
% 3.98/1.15 thf(zip_derived_cl193, plain,
% 3.98/1.15 (![X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i,
% 3.98/1.15 X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i, X14 : $i,
% 3.98/1.15 X15 : $i]:
% 3.98/1.15 ( (ssPv13_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X15 @ X14 @ X13 @
% 3.98/1.15 X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ skc37 @ X2 @
% 3.98/1.15 X1)
% 3.98/1.15 | ~ (ssPv24_5r1r1r1r1r1 @ X15 @ X14 @ X13 @ X12 @ X11)
% 3.98/1.15 | (ssPv21_8r1r1r1r1r1r1r1r1 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @
% 3.98/1.15 X9 @ X8)
% 3.98/1.15 | (ssPv25_4r1r1r1r1 @ X15 @ X14 @ X13 @ X12))),
% 3.98/1.15 inference('simplify', [status(thm)], [zip_derived_cl191])).
% 3.98/1.15 thf(zip_derived_cl195, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.98/1.15 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 3.98/1.15 ( (ssPv25_4r1r1r1r1 @ X3 @ X2 @ X1 @ X0)
% 3.98/1.15 | (ssPv21_8r1r1r1r1r1r1r1r1 @ X3 @ X2 @ X1 @ X0 @ skc46 @ X6 @ X5 @
% 3.98/1.15 X4)
% 3.98/1.15 | (ssPv13_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X3 @ X2 @ X1 @ X0 @
% 3.98/1.15 skc46 @ X6 @ X5 @ X4 @ X13 @ X12 @ X11 @ X10 @ X9 @ skc37 @ X8 @
% 3.98/1.15 X7))),
% 3.98/1.15 inference('sup-', [status(thm)], [zip_derived_cl107, zip_derived_cl193])).
% 3.98/1.15 thf(clause32, conjecture,
% 3.98/1.15 (~( ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 3.98/1.15 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 3.98/1.15 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 3.98/1.15 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 3.98/1.15 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 3.98/1.15 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 3.98/1.15 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 3.98/1.15 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 3.98/1.15 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 3.98/1.15 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 3.98/1.15 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 3.98/1.15 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 3.98/1.15 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 3.98/1.15 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 3.98/1.15 ( ~( ssPv13_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 3.98/1.15 X9 @ skc33 ) ) ))).
% 3.98/1.15 thf(zf_stmt_30, negated_conjecture,
% 3.98/1.15 (( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 3.98/1.15 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 3.98/1.15 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 3.98/1.15 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 3.98/1.15 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 3.98/1.15 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 3.98/1.15 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 3.98/1.15 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 3.98/1.15 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 3.98/1.15 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 3.98/1.15 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 3.98/1.15 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 3.98/1.15 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 3.98/1.15 ( ~( ssPv13_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 3.98/1.15 skc33 ) )),
% 3.98/1.15 inference('cnf.neg', [status(esa)], [clause32])).
% 3.98/1.15 thf(zip_derived_cl31, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.98/1.15 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 3.98/1.15 X14 : $i]:
% 3.98/1.15 (~ (ssNder1_0)
% 3.98/1.15 | ~ (ssNder1_1r1 @ X0)
% 3.98/1.15 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 3.98/1.15 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 3.98/1.15 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 3.98/1.15 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 3.98/1.15 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 3.98/1.15 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 3.98/1.15 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 3.98/1.15 X7)
% 3.98/1.15 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 3.98/1.15 X6 @ X7 @ X8)
% 3.98/1.15 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 3.98/1.15 X6 @ X7 @ X8 @ X9)
% 3.98/1.15 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.98/1.15 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 3.98/1.15 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.98/1.15 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 3.98/1.15 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.98/1.15 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 3.98/1.15 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 3.98/1.15 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 3.98/1.15 | ~ (ssPv13_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 3.98/1.15 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @
% 3.98/1.15 skc33))),
% 3.98/1.15 inference('cnf', [status(esa)], [zf_stmt_30])).
% 3.98/1.15 thf(zip_derived_cl0, plain, ( (ssNder1_0)),
% 3.98/1.15 inference('cnf', [status(esa)], [zf_stmt_1])).
% 3.98/1.15 thf(zip_derived_cl102, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 3.98/1.15 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 3.98/1.15 thf(zip_derived_cl103, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl2, zip_derived_cl0, zip_derived_cl102])).
% 3.98/1.15 thf(zip_derived_cl104, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl3, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.15 zip_derived_cl103])).
% 3.98/1.15 thf(zip_derived_cl106, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 3.98/1.15 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl4, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.15 zip_derived_cl103, zip_derived_cl104])).
% 3.98/1.15 thf(zip_derived_cl108, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 3.98/1.15 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl7, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.15 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106])).
% 3.98/1.15 thf(zip_derived_cl111, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 3.98/1.15 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl10, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.15 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.15 zip_derived_cl108])).
% 3.98/1.15 thf(zip_derived_cl115, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 3.98/1.15 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl13, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.15 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.15 zip_derived_cl108, zip_derived_cl111])).
% 3.98/1.15 thf(zip_derived_cl117, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 3.98/1.15 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl16, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.15 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.15 zip_derived_cl108, zip_derived_cl111, zip_derived_cl115])).
% 3.98/1.15 thf(zip_derived_cl118, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.98/1.15 X7 : $i, X8 : $i]:
% 3.98/1.15 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 3.98/1.15 X7 @ X8)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl17, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.15 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.15 zip_derived_cl108, zip_derived_cl111, zip_derived_cl115,
% 3.98/1.15 zip_derived_cl117])).
% 3.98/1.15 thf(zip_derived_cl119, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.98/1.15 X7 : $i, X8 : $i, X9 : $i]:
% 3.98/1.15 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 3.98/1.15 X7 @ X8 @ X9)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl18, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.15 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.15 zip_derived_cl108, zip_derived_cl111, zip_derived_cl115,
% 3.98/1.15 zip_derived_cl117, zip_derived_cl118])).
% 3.98/1.15 thf(zip_derived_cl120, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.98/1.15 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 3.98/1.15 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 3.98/1.15 X6 @ X7 @ X8 @ X9 @ X10)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl19, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.15 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.15 zip_derived_cl108, zip_derived_cl111, zip_derived_cl115,
% 3.98/1.15 zip_derived_cl117, zip_derived_cl118, zip_derived_cl119])).
% 3.98/1.15 thf(zip_derived_cl122, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.98/1.15 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 3.98/1.15 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 3.98/1.15 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl20, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.15 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.15 zip_derived_cl108, zip_derived_cl111, zip_derived_cl115,
% 3.98/1.15 zip_derived_cl117, zip_derived_cl118, zip_derived_cl119,
% 3.98/1.15 zip_derived_cl120])).
% 3.98/1.15 thf(zip_derived_cl125, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.98/1.15 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 3.98/1.15 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.98/1.15 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl23, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.15 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.15 zip_derived_cl108, zip_derived_cl111, zip_derived_cl115,
% 3.98/1.15 zip_derived_cl117, zip_derived_cl118, zip_derived_cl119,
% 3.98/1.15 zip_derived_cl120, zip_derived_cl122])).
% 3.98/1.15 thf(zip_derived_cl127, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.98/1.15 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 3.98/1.15 (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.98/1.15 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl26, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.15 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.15 zip_derived_cl108, zip_derived_cl111, zip_derived_cl115,
% 3.98/1.15 zip_derived_cl117, zip_derived_cl118, zip_derived_cl119,
% 3.98/1.15 zip_derived_cl120, zip_derived_cl122, zip_derived_cl125])).
% 3.98/1.15 thf(zip_derived_cl130, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.98/1.15 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 3.98/1.15 X14 : $i]:
% 3.98/1.15 ~ (ssPv13_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 3.98/1.15 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ skc33)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl31, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.15 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.15 zip_derived_cl108, zip_derived_cl111, zip_derived_cl115,
% 3.98/1.15 zip_derived_cl117, zip_derived_cl118, zip_derived_cl119,
% 3.98/1.15 zip_derived_cl120, zip_derived_cl122, zip_derived_cl125,
% 3.98/1.15 zip_derived_cl127])).
% 3.98/1.15 thf(zip_derived_cl196, plain,
% 3.98/1.15 (![X6 : $i, X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 3.98/1.15 ( (ssPv21_8r1r1r1r1r1r1r1r1 @ X12 @ X11 @ X10 @ X9 @ skc46 @ X8 @
% 3.98/1.15 X7 @ X6)
% 3.98/1.15 | (ssPv25_4r1r1r1r1 @ X12 @ X11 @ X10 @ X9))),
% 3.98/1.15 inference('sup-', [status(thm)], [zip_derived_cl195, zip_derived_cl130])).
% 3.98/1.15 thf(clause16, conjecture,
% 3.98/1.15 (~( ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 3.98/1.15 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 3.98/1.15 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 3.98/1.15 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 3.98/1.15 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 3.98/1.15 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 3.98/1.15 ( ~( ssPv21_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ skc41 ) ) ))).
% 3.98/1.15 thf(zf_stmt_31, negated_conjecture,
% 3.98/1.15 (( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 3.98/1.15 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 3.98/1.15 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 3.98/1.15 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 3.98/1.15 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 3.98/1.15 ( ~( ssPv21_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ skc41 ) )),
% 3.98/1.15 inference('cnf.neg', [status(esa)], [clause16])).
% 3.98/1.15 thf(zip_derived_cl15, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 3.98/1.15 (~ (ssNder1_0)
% 3.98/1.15 | ~ (ssNder1_1r1 @ X0)
% 3.98/1.15 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 3.98/1.15 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 3.98/1.15 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 3.98/1.15 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 3.98/1.15 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 3.98/1.15 | ~ (ssPv21_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 3.98/1.15 skc41))),
% 3.98/1.15 inference('cnf', [status(esa)], [zf_stmt_31])).
% 3.98/1.15 thf(zip_derived_cl0, plain, ( (ssNder1_0)),
% 3.98/1.15 inference('cnf', [status(esa)], [zf_stmt_1])).
% 3.98/1.15 thf(zip_derived_cl102, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 3.98/1.15 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 3.98/1.15 thf(zip_derived_cl103, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl2, zip_derived_cl0, zip_derived_cl102])).
% 3.98/1.15 thf(zip_derived_cl104, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl3, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.15 zip_derived_cl103])).
% 3.98/1.15 thf(zip_derived_cl106, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 3.98/1.15 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl4, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.15 zip_derived_cl103, zip_derived_cl104])).
% 3.98/1.15 thf(zip_derived_cl108, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 3.98/1.15 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl7, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.15 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106])).
% 3.98/1.15 thf(zip_derived_cl111, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 3.98/1.15 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl10, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.15 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.15 zip_derived_cl108])).
% 3.98/1.15 thf(zip_derived_cl114, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 3.98/1.15 ~ (ssPv21_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ skc41)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl15, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.15 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.15 zip_derived_cl108, zip_derived_cl111])).
% 3.98/1.15 thf(zip_derived_cl197, plain,
% 3.98/1.15 (![X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 3.98/1.15 (ssPv25_4r1r1r1r1 @ X5 @ X4 @ X3 @ X2)),
% 3.98/1.15 inference('sup-', [status(thm)], [zip_derived_cl196, zip_derived_cl114])).
% 3.98/1.15 thf(zip_derived_cl199, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.98/1.15 X7 : $i, X8 : $i]:
% 3.98/1.15 (ssPv19_10r1r1r1r1r1r1r1r1r1r1 @ X3 @ X2 @ X1 @ X0 @ skc46 @ X8 @
% 3.98/1.15 X7 @ X6 @ X5 @ X4)),
% 3.98/1.15 inference('demod', [status(thm)], [zip_derived_cl159, zip_derived_cl197])).
% 3.98/1.15 thf(clause61, conjecture,
% 3.98/1.15 (~( ( ssPv10_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 3.98/1.15 X10 @ X11 @ X12 @ X13 ) |
% 3.98/1.15 ( ssPv8_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 3.98/1.15 X10 @ X11 @ X12 @ X13 @ X14 @ X15 ) |
% 3.98/1.15 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 3.98/1.15 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 3.98/1.15 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 3.98/1.15 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 3.98/1.15 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 3.98/1.15 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 3.98/1.15 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 3.98/1.15 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 3.98/1.15 ( ~( ssPv21_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 3.98/1.15 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 3.98/1.15 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 3.98/1.15 ( ~( ssPv19_10r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 3.98/1.15 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 3.98/1.15 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 3.98/1.15 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 3.98/1.15 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 3.98/1.15 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 3.98/1.15 ( ~( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 3.98/1.15 X9 @ X10 ) ) |
% 3.98/1.15 ( ~( ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 3.98/1.15 X9 @ X10 @ X11 ) ) |
% 3.98/1.15 ( ~( ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 3.98/1.15 X9 @ X10 @ X11 @ X12 ) ) |
% 3.98/1.15 ( ~( ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 3.98/1.15 X9 @ X10 @ X11 @ X12 @ X13 ) ) |
% 3.98/1.15 ( ~( ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 3.98/1.15 X9 @ X10 @ X11 @ X12 @ X13 @ X14 ) ) ))).
% 3.98/1.15 thf(zf_stmt_32, negated_conjecture,
% 3.98/1.15 (( ssPv10_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 3.98/1.15 X10 @ X11 @ X12 @ X13 ) |
% 3.98/1.15 ( ssPv8_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 3.98/1.15 X10 @ X11 @ X12 @ X13 @ X14 @ X15 ) |
% 3.98/1.15 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 3.98/1.15 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 3.98/1.15 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 3.98/1.15 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 3.98/1.15 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 3.98/1.15 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 3.98/1.15 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 3.98/1.15 ( ~( ssPv21_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 3.98/1.15 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 3.98/1.15 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 3.98/1.15 ( ~( ssPv19_10r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 3.98/1.15 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 3.98/1.15 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 3.98/1.15 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 3.98/1.15 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 3.98/1.15 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 3.98/1.15 ( ~( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 3.98/1.15 X10 ) ) |
% 3.98/1.15 ( ~( ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 3.98/1.15 X10 @ X11 ) ) |
% 3.98/1.15 ( ~( ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 3.98/1.15 X10 @ X11 @ X12 ) ) |
% 3.98/1.15 ( ~( ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 3.98/1.15 X10 @ X11 @ X12 @ X13 ) ) |
% 3.98/1.15 ( ~( ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.15 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 3.98/1.15 X10 @ X11 @ X12 @ X13 @ X14 ) )),
% 3.98/1.15 inference('cnf.neg', [status(esa)], [clause61])).
% 3.98/1.15 thf(zip_derived_cl60, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.98/1.15 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 3.98/1.15 X14 : $i, X15 : $i, X16 : $i, X17 : $i, X18 : $i, X19 : $i, X20 : $i]:
% 3.98/1.15 ( (ssPv10_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 3.98/1.15 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @
% 3.98/1.15 X15 @ X16 @ X17 @ X18)
% 3.98/1.15 | (ssPv8_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @
% 3.98/1.15 X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 3.98/1.15 X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20)
% 3.98/1.15 | ~ (ssNder1_0)
% 3.98/1.15 | ~ (ssNder1_1r1 @ X0)
% 3.98/1.15 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 3.98/1.15 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 3.98/1.15 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 3.98/1.15 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 3.98/1.15 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 3.98/1.15 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 3.98/1.15 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 3.98/1.15 X7)
% 3.98/1.15 | ~ (ssPv21_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)
% 3.98/1.15 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 3.98/1.15 X6 @ X7 @ X8)
% 3.98/1.15 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 3.98/1.15 X6 @ X7 @ X8 @ X9)
% 3.98/1.15 | ~ (ssPv19_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 3.98/1.15 X6 @ X7 @ X8 @ X9)
% 3.98/1.15 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.98/1.15 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 3.98/1.15 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.98/1.15 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 3.98/1.15 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.98/1.15 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 3.98/1.15 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 3.98/1.15 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 3.98/1.15 | ~ (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 3.98/1.15 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 3.98/1.15 | ~ (ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 3.98/1.15 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 3.98/1.15 X14 @ X15)
% 3.98/1.15 | ~ (ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 3.98/1.15 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 3.98/1.15 X14 @ X15 @ X16)
% 3.98/1.15 | ~ (ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 3.98/1.15 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 3.98/1.15 X14 @ X15 @ X16 @ X17)
% 3.98/1.15 | ~ (ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @
% 3.98/1.15 X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 3.98/1.15 X14 @ X15 @ X16 @ X17 @ X18)
% 3.98/1.15 | ~ (ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @
% 3.98/1.15 X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 3.98/1.15 X14 @ X15 @ X16 @ X17 @ X18 @ X19))),
% 3.98/1.15 inference('cnf', [status(esa)], [zf_stmt_32])).
% 3.98/1.15 thf(zip_derived_cl0, plain, ( (ssNder1_0)),
% 3.98/1.15 inference('cnf', [status(esa)], [zf_stmt_1])).
% 3.98/1.15 thf(zip_derived_cl102, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 3.98/1.15 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 3.98/1.15 thf(zip_derived_cl103, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl2, zip_derived_cl0, zip_derived_cl102])).
% 3.98/1.15 thf(zip_derived_cl104, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl3, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.15 zip_derived_cl103])).
% 3.98/1.15 thf(zip_derived_cl106, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 3.98/1.15 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl4, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.15 zip_derived_cl103, zip_derived_cl104])).
% 3.98/1.15 thf(zip_derived_cl108, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 3.98/1.15 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl7, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.15 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106])).
% 3.98/1.15 thf(zip_derived_cl111, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 3.98/1.15 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl10, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.15 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.15 zip_derived_cl108])).
% 3.98/1.15 thf(zip_derived_cl115, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 3.98/1.15 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl13, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.15 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.15 zip_derived_cl108, zip_derived_cl111])).
% 3.98/1.15 thf(zip_derived_cl117, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 3.98/1.15 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl16, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.15 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.15 zip_derived_cl108, zip_derived_cl111, zip_derived_cl115])).
% 3.98/1.15 thf(zip_derived_cl118, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.98/1.15 X7 : $i, X8 : $i]:
% 3.98/1.15 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 3.98/1.15 X7 @ X8)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl17, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.15 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.15 zip_derived_cl108, zip_derived_cl111, zip_derived_cl115,
% 3.98/1.15 zip_derived_cl117])).
% 3.98/1.15 thf(zip_derived_cl119, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.98/1.15 X7 : $i, X8 : $i, X9 : $i]:
% 3.98/1.15 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 3.98/1.15 X7 @ X8 @ X9)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl18, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.15 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.15 zip_derived_cl108, zip_derived_cl111, zip_derived_cl115,
% 3.98/1.15 zip_derived_cl117, zip_derived_cl118])).
% 3.98/1.15 thf(zip_derived_cl120, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.98/1.15 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 3.98/1.15 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 3.98/1.15 X6 @ X7 @ X8 @ X9 @ X10)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl19, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.15 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.15 zip_derived_cl108, zip_derived_cl111, zip_derived_cl115,
% 3.98/1.15 zip_derived_cl117, zip_derived_cl118, zip_derived_cl119])).
% 3.98/1.15 thf(zip_derived_cl122, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.98/1.15 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 3.98/1.15 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 3.98/1.15 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl20, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.15 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.15 zip_derived_cl108, zip_derived_cl111, zip_derived_cl115,
% 3.98/1.15 zip_derived_cl117, zip_derived_cl118, zip_derived_cl119,
% 3.98/1.15 zip_derived_cl120])).
% 3.98/1.15 thf(zip_derived_cl125, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.98/1.15 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 3.98/1.15 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.98/1.15 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl23, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.15 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.15 zip_derived_cl108, zip_derived_cl111, zip_derived_cl115,
% 3.98/1.15 zip_derived_cl117, zip_derived_cl118, zip_derived_cl119,
% 3.98/1.15 zip_derived_cl120, zip_derived_cl122])).
% 3.98/1.15 thf(zip_derived_cl127, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.98/1.15 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 3.98/1.15 (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.98/1.15 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl26, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.15 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.15 zip_derived_cl108, zip_derived_cl111, zip_derived_cl115,
% 3.98/1.15 zip_derived_cl117, zip_derived_cl118, zip_derived_cl119,
% 3.98/1.15 zip_derived_cl120, zip_derived_cl122, zip_derived_cl125])).
% 3.98/1.15 thf(zip_derived_cl131, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.98/1.15 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 3.98/1.15 X14 : $i]:
% 3.98/1.15 (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.98/1.15 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl29, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.15 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.15 zip_derived_cl108, zip_derived_cl111, zip_derived_cl115,
% 3.98/1.15 zip_derived_cl117, zip_derived_cl118, zip_derived_cl119,
% 3.98/1.15 zip_derived_cl120, zip_derived_cl122, zip_derived_cl125,
% 3.98/1.15 zip_derived_cl127])).
% 3.98/1.15 thf(zip_derived_cl135, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.98/1.15 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 3.98/1.15 X14 : $i, X15 : $i]:
% 3.98/1.15 (ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 3.98/1.15 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl33, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.15 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.15 zip_derived_cl108, zip_derived_cl111, zip_derived_cl115,
% 3.98/1.15 zip_derived_cl117, zip_derived_cl118, zip_derived_cl119,
% 3.98/1.15 zip_derived_cl120, zip_derived_cl122, zip_derived_cl125,
% 3.98/1.15 zip_derived_cl127, zip_derived_cl131])).
% 3.98/1.15 thf(zip_derived_cl136, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.98/1.15 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 3.98/1.15 X14 : $i, X15 : $i, X16 : $i]:
% 3.98/1.15 (ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 3.98/1.15 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @
% 3.98/1.15 X16)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl34, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.15 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.15 zip_derived_cl108, zip_derived_cl111, zip_derived_cl115,
% 3.98/1.15 zip_derived_cl117, zip_derived_cl118, zip_derived_cl119,
% 3.98/1.15 zip_derived_cl120, zip_derived_cl122, zip_derived_cl125,
% 3.98/1.15 zip_derived_cl127, zip_derived_cl131, zip_derived_cl135])).
% 3.98/1.15 thf(zip_derived_cl139, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.98/1.15 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 3.98/1.15 X14 : $i, X15 : $i, X16 : $i, X17 : $i]:
% 3.98/1.15 (ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 3.98/1.15 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @
% 3.98/1.15 X15 @ X16 @ X17)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl36, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.15 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.15 zip_derived_cl108, zip_derived_cl111, zip_derived_cl115,
% 3.98/1.15 zip_derived_cl117, zip_derived_cl118, zip_derived_cl119,
% 3.98/1.15 zip_derived_cl120, zip_derived_cl122, zip_derived_cl125,
% 3.98/1.15 zip_derived_cl127, zip_derived_cl131, zip_derived_cl135,
% 3.98/1.15 zip_derived_cl136])).
% 3.98/1.15 thf(zip_derived_cl142, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.98/1.15 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 3.98/1.15 X14 : $i, X15 : $i, X16 : $i, X17 : $i, X18 : $i]:
% 3.98/1.15 (ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 3.98/1.15 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @
% 3.98/1.15 X15 @ X16 @ X17 @ X18)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl39, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.15 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.15 zip_derived_cl108, zip_derived_cl111, zip_derived_cl115,
% 3.98/1.15 zip_derived_cl117, zip_derived_cl118, zip_derived_cl119,
% 3.98/1.15 zip_derived_cl120, zip_derived_cl122, zip_derived_cl125,
% 3.98/1.15 zip_derived_cl127, zip_derived_cl131, zip_derived_cl135,
% 3.98/1.15 zip_derived_cl136, zip_derived_cl139])).
% 3.98/1.15 thf(zip_derived_cl146, plain,
% 3.98/1.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.98/1.15 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 3.98/1.15 X14 : $i, X15 : $i, X16 : $i, X17 : $i, X18 : $i, X19 : $i]:
% 3.98/1.15 (ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 3.98/1.15 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @
% 3.98/1.15 X15 @ X16 @ X17 @ X18 @ X19)),
% 3.98/1.15 inference('demod', [status(thm)],
% 3.98/1.15 [zip_derived_cl41, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.16 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.16 zip_derived_cl108, zip_derived_cl111, zip_derived_cl115,
% 3.98/1.16 zip_derived_cl117, zip_derived_cl118, zip_derived_cl119,
% 3.98/1.16 zip_derived_cl120, zip_derived_cl122, zip_derived_cl125,
% 3.98/1.16 zip_derived_cl127, zip_derived_cl131, zip_derived_cl135,
% 3.98/1.16 zip_derived_cl136, zip_derived_cl139, zip_derived_cl142])).
% 3.98/1.16 thf(zip_derived_cl210, plain,
% 3.98/1.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.98/1.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 3.98/1.16 X14 : $i, X15 : $i, X16 : $i, X17 : $i, X18 : $i, X19 : $i, X20 : $i]:
% 3.98/1.16 ( (ssPv10_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 3.98/1.16 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @
% 3.98/1.16 X15 @ X16 @ X17 @ X18)
% 3.98/1.16 | (ssPv8_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @
% 3.98/1.16 X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 3.98/1.16 X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20)
% 3.98/1.16 | ~ (ssPv21_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)
% 3.98/1.16 | ~ (ssPv19_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 3.98/1.16 X6 @ X7 @ X8 @ X9))),
% 3.98/1.16 inference('demod', [status(thm)],
% 3.98/1.16 [zip_derived_cl60, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.16 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.16 zip_derived_cl108, zip_derived_cl111, zip_derived_cl115,
% 3.98/1.16 zip_derived_cl117, zip_derived_cl118, zip_derived_cl119,
% 3.98/1.16 zip_derived_cl120, zip_derived_cl122, zip_derived_cl125,
% 3.98/1.16 zip_derived_cl127, zip_derived_cl131, zip_derived_cl135,
% 3.98/1.16 zip_derived_cl136, zip_derived_cl139, zip_derived_cl142,
% 3.98/1.16 zip_derived_cl146])).
% 3.98/1.16 thf(zip_derived_cl211, plain,
% 3.98/1.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.98/1.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 3.98/1.16 X14 : $i, X15 : $i, X16 : $i, X17 : $i, X18 : $i, X19 : $i]:
% 3.98/1.16 (~ (ssPv21_8r1r1r1r1r1r1r1r1 @ X8 @ X7 @ X6 @ X5 @ skc46 @ X4 @ X3 @
% 3.98/1.16 X2)
% 3.98/1.16 | (ssPv8_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X8 @ X7 @
% 3.98/1.16 X6 @ X5 @ skc46 @ X4 @ X3 @ X2 @ X1 @ X0 @ X19 @ X18 @ X17 @
% 3.98/1.16 X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9)
% 3.98/1.16 | (ssPv10_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X8 @ X7 @ X6 @
% 3.98/1.16 X5 @ skc46 @ X4 @ X3 @ X2 @ X1 @ X0 @ X19 @ X18 @ X17 @ X16 @
% 3.98/1.16 X15 @ X14 @ X13 @ X12 @ X11))),
% 3.98/1.16 inference('sup-', [status(thm)], [zip_derived_cl199, zip_derived_cl210])).
% 3.98/1.16 thf(zip_derived_cl212, plain,
% 3.98/1.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.98/1.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 3.98/1.16 X14 : $i, X15 : $i, X16 : $i, X17 : $i, X18 : $i]:
% 3.98/1.16 ( (ssPv10_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X5 @ X4 @ X3 @
% 3.98/1.16 X2 @ skc46 @ X1 @ X0 @ skc40 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @
% 3.98/1.16 X10 @ X9 @ X8 @ X7 @ X6)
% 3.98/1.16 | (ssPv8_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X5 @ X4 @
% 3.98/1.16 X3 @ X2 @ skc46 @ X1 @ X0 @ skc40 @ X16 @ X15 @ X14 @ X13 @
% 3.98/1.16 X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X18 @ X17))),
% 3.98/1.16 inference('sup-', [status(thm)], [zip_derived_cl116, zip_derived_cl211])).
% 3.98/1.16 thf(clause44, conjecture,
% 3.98/1.16 (~( ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 3.98/1.16 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 3.98/1.16 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 3.98/1.16 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 3.98/1.16 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 3.98/1.16 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 3.98/1.16 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 3.98/1.16 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 3.98/1.16 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 3.98/1.16 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 3.98/1.16 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 3.98/1.16 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 3.98/1.16 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 3.98/1.16 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 3.98/1.16 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 3.98/1.16 ( ~( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 3.98/1.16 X9 @ X10 ) ) |
% 3.98/1.16 ( ~( ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 3.98/1.16 X9 @ X10 @ X11 ) ) |
% 3.98/1.16 ( ~( ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 3.98/1.16 X9 @ X10 @ X11 @ X12 ) ) |
% 3.98/1.16 ( ~( ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 3.98/1.16 X9 @ X10 @ X11 @ X12 @ X13 ) ) |
% 3.98/1.16 ( ~( ssPv8_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 3.98/1.16 X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ skc31 ) ) ))).
% 3.98/1.16 thf(zf_stmt_33, negated_conjecture,
% 3.98/1.16 (( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 3.98/1.16 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 3.98/1.16 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 3.98/1.16 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 3.98/1.16 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 3.98/1.16 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 3.98/1.16 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 3.98/1.16 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 3.98/1.16 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 3.98/1.16 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 3.98/1.16 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 3.98/1.16 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 3.98/1.16 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 3.98/1.16 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 3.98/1.16 ( ~( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 3.98/1.16 X10 ) ) |
% 3.98/1.16 ( ~( ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 3.98/1.16 X10 @ X11 ) ) |
% 3.98/1.16 ( ~( ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 3.98/1.16 X10 @ X11 @ X12 ) ) |
% 3.98/1.16 ( ~( ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 3.98/1.16 X10 @ X11 @ X12 @ X13 ) ) |
% 3.98/1.16 ( ~( ssPv8_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 3.98/1.16 X10 @ X11 @ X12 @ X13 @ X14 @ skc31 ) )),
% 3.98/1.16 inference('cnf.neg', [status(esa)], [clause44])).
% 3.98/1.16 thf(zip_derived_cl43, plain,
% 3.98/1.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.98/1.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 3.98/1.16 X14 : $i, X15 : $i, X16 : $i, X17 : $i, X18 : $i, X19 : $i]:
% 3.98/1.16 (~ (ssNder1_0)
% 3.98/1.16 | ~ (ssNder1_1r1 @ X0)
% 3.98/1.16 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 3.98/1.16 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 3.98/1.16 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 3.98/1.16 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 3.98/1.16 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 3.98/1.16 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 3.98/1.16 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 3.98/1.16 X7)
% 3.98/1.16 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 3.98/1.16 X6 @ X7 @ X8)
% 3.98/1.16 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 3.98/1.16 X6 @ X7 @ X8 @ X9)
% 3.98/1.16 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.98/1.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 3.98/1.16 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.98/1.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 3.98/1.16 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.98/1.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 3.98/1.16 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 3.98/1.16 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 3.98/1.16 | ~ (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 3.98/1.16 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 3.98/1.16 | ~ (ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 3.98/1.16 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 3.98/1.16 X14 @ X15)
% 3.98/1.16 | ~ (ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 3.98/1.16 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 3.98/1.16 X14 @ X15 @ X16)
% 3.98/1.16 | ~ (ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 3.98/1.16 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 3.98/1.16 X14 @ X15 @ X16 @ X17)
% 3.98/1.16 | ~ (ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @
% 3.98/1.16 X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 3.98/1.16 X14 @ X15 @ X16 @ X17 @ X18)
% 3.98/1.16 | ~ (ssPv8_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @
% 3.98/1.16 X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 3.98/1.16 X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ skc31))),
% 3.98/1.16 inference('cnf', [status(esa)], [zf_stmt_33])).
% 3.98/1.16 thf(zip_derived_cl0, plain, ( (ssNder1_0)),
% 3.98/1.16 inference('cnf', [status(esa)], [zf_stmt_1])).
% 3.98/1.16 thf(zip_derived_cl102, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 3.98/1.16 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 3.98/1.16 thf(zip_derived_cl103, plain,
% 3.98/1.16 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 3.98/1.16 inference('demod', [status(thm)],
% 3.98/1.16 [zip_derived_cl2, zip_derived_cl0, zip_derived_cl102])).
% 3.98/1.16 thf(zip_derived_cl104, plain,
% 3.98/1.16 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 3.98/1.16 inference('demod', [status(thm)],
% 3.98/1.16 [zip_derived_cl3, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.16 zip_derived_cl103])).
% 3.98/1.16 thf(zip_derived_cl106, plain,
% 3.98/1.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 3.98/1.16 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 3.98/1.16 inference('demod', [status(thm)],
% 3.98/1.16 [zip_derived_cl4, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.16 zip_derived_cl103, zip_derived_cl104])).
% 3.98/1.16 thf(zip_derived_cl108, plain,
% 3.98/1.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 3.98/1.16 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 3.98/1.16 inference('demod', [status(thm)],
% 3.98/1.16 [zip_derived_cl7, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.16 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106])).
% 3.98/1.16 thf(zip_derived_cl111, plain,
% 3.98/1.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 3.98/1.16 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 3.98/1.16 inference('demod', [status(thm)],
% 3.98/1.16 [zip_derived_cl10, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.16 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.16 zip_derived_cl108])).
% 3.98/1.16 thf(zip_derived_cl115, plain,
% 3.98/1.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 3.98/1.16 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 3.98/1.16 inference('demod', [status(thm)],
% 3.98/1.16 [zip_derived_cl13, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.16 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.16 zip_derived_cl108, zip_derived_cl111])).
% 3.98/1.16 thf(zip_derived_cl117, plain,
% 3.98/1.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 3.98/1.16 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 3.98/1.16 inference('demod', [status(thm)],
% 3.98/1.16 [zip_derived_cl16, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.16 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.16 zip_derived_cl108, zip_derived_cl111, zip_derived_cl115])).
% 3.98/1.16 thf(zip_derived_cl118, plain,
% 3.98/1.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.98/1.16 X7 : $i, X8 : $i]:
% 3.98/1.16 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 3.98/1.16 X7 @ X8)),
% 3.98/1.16 inference('demod', [status(thm)],
% 3.98/1.16 [zip_derived_cl17, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.16 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.16 zip_derived_cl108, zip_derived_cl111, zip_derived_cl115,
% 3.98/1.16 zip_derived_cl117])).
% 3.98/1.16 thf(zip_derived_cl119, plain,
% 3.98/1.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.98/1.16 X7 : $i, X8 : $i, X9 : $i]:
% 3.98/1.16 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 3.98/1.16 X7 @ X8 @ X9)),
% 3.98/1.16 inference('demod', [status(thm)],
% 3.98/1.16 [zip_derived_cl18, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.16 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.16 zip_derived_cl108, zip_derived_cl111, zip_derived_cl115,
% 3.98/1.16 zip_derived_cl117, zip_derived_cl118])).
% 3.98/1.16 thf(zip_derived_cl120, plain,
% 3.98/1.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.98/1.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 3.98/1.16 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 3.98/1.16 X6 @ X7 @ X8 @ X9 @ X10)),
% 3.98/1.16 inference('demod', [status(thm)],
% 3.98/1.16 [zip_derived_cl19, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.16 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.16 zip_derived_cl108, zip_derived_cl111, zip_derived_cl115,
% 3.98/1.16 zip_derived_cl117, zip_derived_cl118, zip_derived_cl119])).
% 3.98/1.16 thf(zip_derived_cl122, plain,
% 3.98/1.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.98/1.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 3.98/1.16 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 3.98/1.16 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 3.98/1.16 inference('demod', [status(thm)],
% 3.98/1.16 [zip_derived_cl20, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.16 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.16 zip_derived_cl108, zip_derived_cl111, zip_derived_cl115,
% 3.98/1.16 zip_derived_cl117, zip_derived_cl118, zip_derived_cl119,
% 3.98/1.16 zip_derived_cl120])).
% 3.98/1.16 thf(zip_derived_cl125, plain,
% 3.98/1.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.98/1.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 3.98/1.16 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.98/1.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 3.98/1.16 inference('demod', [status(thm)],
% 3.98/1.16 [zip_derived_cl23, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.16 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.16 zip_derived_cl108, zip_derived_cl111, zip_derived_cl115,
% 3.98/1.16 zip_derived_cl117, zip_derived_cl118, zip_derived_cl119,
% 3.98/1.16 zip_derived_cl120, zip_derived_cl122])).
% 3.98/1.16 thf(zip_derived_cl127, plain,
% 3.98/1.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.98/1.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 3.98/1.16 (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.98/1.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)),
% 3.98/1.16 inference('demod', [status(thm)],
% 3.98/1.16 [zip_derived_cl26, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.16 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.16 zip_derived_cl108, zip_derived_cl111, zip_derived_cl115,
% 3.98/1.16 zip_derived_cl117, zip_derived_cl118, zip_derived_cl119,
% 3.98/1.16 zip_derived_cl120, zip_derived_cl122, zip_derived_cl125])).
% 3.98/1.16 thf(zip_derived_cl131, plain,
% 3.98/1.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.98/1.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 3.98/1.16 X14 : $i]:
% 3.98/1.16 (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.98/1.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)),
% 3.98/1.16 inference('demod', [status(thm)],
% 3.98/1.16 [zip_derived_cl29, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.16 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.16 zip_derived_cl108, zip_derived_cl111, zip_derived_cl115,
% 3.98/1.16 zip_derived_cl117, zip_derived_cl118, zip_derived_cl119,
% 3.98/1.16 zip_derived_cl120, zip_derived_cl122, zip_derived_cl125,
% 3.98/1.16 zip_derived_cl127])).
% 3.98/1.16 thf(zip_derived_cl135, plain,
% 3.98/1.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.98/1.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 3.98/1.16 X14 : $i, X15 : $i]:
% 3.98/1.16 (ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 3.98/1.16 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15)),
% 3.98/1.16 inference('demod', [status(thm)],
% 3.98/1.16 [zip_derived_cl33, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.16 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.16 zip_derived_cl108, zip_derived_cl111, zip_derived_cl115,
% 3.98/1.16 zip_derived_cl117, zip_derived_cl118, zip_derived_cl119,
% 3.98/1.16 zip_derived_cl120, zip_derived_cl122, zip_derived_cl125,
% 3.98/1.16 zip_derived_cl127, zip_derived_cl131])).
% 3.98/1.16 thf(zip_derived_cl136, plain,
% 3.98/1.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.98/1.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 3.98/1.16 X14 : $i, X15 : $i, X16 : $i]:
% 3.98/1.16 (ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 3.98/1.16 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @
% 3.98/1.16 X16)),
% 3.98/1.16 inference('demod', [status(thm)],
% 3.98/1.16 [zip_derived_cl34, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.16 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.16 zip_derived_cl108, zip_derived_cl111, zip_derived_cl115,
% 3.98/1.16 zip_derived_cl117, zip_derived_cl118, zip_derived_cl119,
% 3.98/1.16 zip_derived_cl120, zip_derived_cl122, zip_derived_cl125,
% 3.98/1.16 zip_derived_cl127, zip_derived_cl131, zip_derived_cl135])).
% 3.98/1.16 thf(zip_derived_cl139, plain,
% 3.98/1.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.98/1.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 3.98/1.16 X14 : $i, X15 : $i, X16 : $i, X17 : $i]:
% 3.98/1.16 (ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 3.98/1.16 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @
% 3.98/1.16 X15 @ X16 @ X17)),
% 3.98/1.16 inference('demod', [status(thm)],
% 3.98/1.16 [zip_derived_cl36, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.16 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.16 zip_derived_cl108, zip_derived_cl111, zip_derived_cl115,
% 3.98/1.16 zip_derived_cl117, zip_derived_cl118, zip_derived_cl119,
% 3.98/1.16 zip_derived_cl120, zip_derived_cl122, zip_derived_cl125,
% 3.98/1.16 zip_derived_cl127, zip_derived_cl131, zip_derived_cl135,
% 3.98/1.16 zip_derived_cl136])).
% 3.98/1.16 thf(zip_derived_cl142, plain,
% 3.98/1.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.98/1.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 3.98/1.16 X14 : $i, X15 : $i, X16 : $i, X17 : $i, X18 : $i]:
% 3.98/1.16 (ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 3.98/1.16 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @
% 3.98/1.16 X15 @ X16 @ X17 @ X18)),
% 3.98/1.16 inference('demod', [status(thm)],
% 3.98/1.16 [zip_derived_cl39, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.16 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.16 zip_derived_cl108, zip_derived_cl111, zip_derived_cl115,
% 3.98/1.16 zip_derived_cl117, zip_derived_cl118, zip_derived_cl119,
% 3.98/1.16 zip_derived_cl120, zip_derived_cl122, zip_derived_cl125,
% 3.98/1.16 zip_derived_cl127, zip_derived_cl131, zip_derived_cl135,
% 3.98/1.16 zip_derived_cl136, zip_derived_cl139])).
% 3.98/1.16 thf(zip_derived_cl148, plain,
% 3.98/1.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.98/1.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 3.98/1.16 X14 : $i, X15 : $i, X16 : $i, X17 : $i, X18 : $i, X19 : $i]:
% 3.98/1.16 ~ (ssPv8_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @
% 3.98/1.16 X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 3.98/1.16 X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ skc31)),
% 3.98/1.16 inference('demod', [status(thm)],
% 3.98/1.16 [zip_derived_cl43, zip_derived_cl0, zip_derived_cl102,
% 3.98/1.16 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 3.98/1.16 zip_derived_cl108, zip_derived_cl111, zip_derived_cl115,
% 3.98/1.16 zip_derived_cl117, zip_derived_cl118, zip_derived_cl119,
% 3.98/1.16 zip_derived_cl120, zip_derived_cl122, zip_derived_cl125,
% 3.98/1.16 zip_derived_cl127, zip_derived_cl131, zip_derived_cl135,
% 3.98/1.16 zip_derived_cl136, zip_derived_cl139, zip_derived_cl142])).
% 3.98/1.16 thf(zip_derived_cl213, plain,
% 3.98/1.16 (![X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i,
% 3.98/1.16 X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i, X14 : $i,
% 3.98/1.16 X15 : $i, X16 : $i, X17 : $i]:
% 3.98/1.16 (ssPv10_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X17 @ X16 @ X15 @
% 3.98/1.16 X14 @ skc46 @ X13 @ X12 @ skc40 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @
% 3.98/1.16 X5 @ X4 @ X3 @ X2 @ X1)),
% 3.98/1.16 inference('sup-', [status(thm)], [zip_derived_cl212, zip_derived_cl148])).
% 3.98/1.16 thf(clause46, conjecture,
% 3.98/1.16 (~( ( ssPv15_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) |
% 3.98/1.16 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 3.98/1.16 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 3.98/1.16 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 3.98/1.16 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 3.98/1.16 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 3.98/1.16 ( ~( ssPv24_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 3.98/1.16 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 3.98/1.16 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 3.98/1.16 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 3.98/1.16 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 3.98/1.16 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 3.98/1.16 ( ~( ssPv19_10r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 3.98/1.16 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 3.98/1.16 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 3.98/1.16 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 3.98/1.16 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 3.98/1.16 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 3.98/1.16 ( ~( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 3.98/1.16 X9 @ X10 ) ) |
% 3.98/1.16 ( ~( ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 3.98/1.16 X9 @ X10 @ X11 ) ) |
% 3.98/1.16 ( ~( ssPv10_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 3.98/1.16 X9 @ X10 @ X11 @ X12 @ X13 ) ) |
% 3.98/1.16 ( ~( ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 3.98/1.16 X9 @ X10 @ X11 @ X12 ) ) ))).
% 3.98/1.16 thf(zf_stmt_34, negated_conjecture,
% 3.98/1.16 (( ssPv15_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) |
% 3.98/1.16 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 3.98/1.16 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 3.98/1.16 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 3.98/1.16 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 3.98/1.16 ( ~( ssPv24_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 3.98/1.16 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 3.98/1.16 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 3.98/1.16 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 3.98/1.16 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 3.98/1.16 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 3.98/1.16 ( ~( ssPv19_10r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 3.98/1.16 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 3.98/1.16 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 3.98/1.16 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 3.98/1.16 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 3.98/1.16 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 3.98/1.16 ( ~( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 3.98/1.16 X10 ) ) |
% 3.98/1.16 ( ~( ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 3.98/1.16 X10 @ X11 ) ) |
% 3.98/1.16 ( ~( ssPv10_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 3.98/1.16 X10 @ X11 @ X12 @ X13 ) ) |
% 3.98/1.16 ( ~( ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 3.98/1.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 3.98/1.16 X10 @ X11 @ X12 ) )),
% 3.98/1.16 inference('cnf.neg', [status(esa)], [clause46])).
% 3.98/1.16 thf(zip_derived_cl45, plain,
% 3.98/1.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 3.98/1.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 3.98/1.16 X14 : $i, X15 : $i, X16 : $i, X17 : $i, X18 : $i]:
% 3.98/1.16 ( (ssPv15_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.98/1.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 3.98/1.16 | ~ (ssNder1_0)
% 3.98/1.16 | ~ (ssNder1_1r1 @ X0)
% 3.98/1.16 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 3.98/1.16 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 3.98/1.16 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 3.98/1.16 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 3.98/1.16 | ~ (ssPv24_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 3.98/1.16 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 3.98/1.16 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 3.98/1.16 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 3.98/1.16 X7)
% 3.98/1.16 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 3.98/1.16 X6 @ X7 @ X8)
% 3.98/1.16 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 3.98/1.16 X6 @ X7 @ X8 @ X9)
% 3.98/1.16 | ~ (ssPv19_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 3.98/1.16 X6 @ X7 @ X8 @ X9)
% 3.98/1.16 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.98/1.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 3.98/1.16 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.98/1.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 3.98/1.16 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 3.98/1.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 3.98/1.16 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 3.98/1.16 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 3.98/1.16 | ~ (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 3.98/1.16 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 3.98/1.16 | ~ (ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 3.98/1.16 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 3.98/1.16 X14 @ X15)
% 3.98/1.16 | ~ (ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 3.98/1.16 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 3.98/1.16 X14 @ X15 @ X16)
% 3.98/1.16 | ~ (ssPv10_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @
% 3.98/1.16 X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 3.98/1.16 X14 @ X15 @ X16 @ X17 @ X18)
% 3.98/1.16 | ~ (ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 3.98/1.16 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 3.98/1.16 X14 @ X15 @ X16 @ X17))),
% 3.98/1.16 inference('cnf', [status(esa)], [zf_stmt_34])).
% 3.98/1.16 thf(zip_derived_cl0, plain, ( (ssNder1_0)),
% 3.98/1.16 inference('cnf', [status(esa)], [zf_stmt_1])).
% 3.98/1.16 thf(zip_derived_cl102, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 3.98/1.16 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 4.50/1.16 thf(zip_derived_cl103, plain,
% 4.50/1.16 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 4.50/1.16 inference('demod', [status(thm)],
% 4.50/1.16 [zip_derived_cl2, zip_derived_cl0, zip_derived_cl102])).
% 4.50/1.16 thf(zip_derived_cl104, plain,
% 4.50/1.16 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 4.50/1.16 inference('demod', [status(thm)],
% 4.50/1.16 [zip_derived_cl3, zip_derived_cl0, zip_derived_cl102,
% 4.50/1.16 zip_derived_cl103])).
% 4.50/1.16 thf(zip_derived_cl106, plain,
% 4.50/1.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 4.50/1.16 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 4.50/1.16 inference('demod', [status(thm)],
% 4.50/1.16 [zip_derived_cl4, zip_derived_cl0, zip_derived_cl102,
% 4.50/1.16 zip_derived_cl103, zip_derived_cl104])).
% 4.50/1.16 thf(zip_derived_cl108, plain,
% 4.50/1.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 4.50/1.16 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 4.50/1.16 inference('demod', [status(thm)],
% 4.50/1.16 [zip_derived_cl7, zip_derived_cl0, zip_derived_cl102,
% 4.50/1.16 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106])).
% 4.50/1.16 thf(zip_derived_cl111, plain,
% 4.50/1.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 4.50/1.16 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 4.50/1.16 inference('demod', [status(thm)],
% 4.50/1.16 [zip_derived_cl10, zip_derived_cl0, zip_derived_cl102,
% 4.50/1.16 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 4.50/1.16 zip_derived_cl108])).
% 4.50/1.16 thf(zip_derived_cl115, plain,
% 4.50/1.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 4.50/1.16 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 4.50/1.16 inference('demod', [status(thm)],
% 4.50/1.16 [zip_derived_cl13, zip_derived_cl0, zip_derived_cl102,
% 4.50/1.16 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 4.50/1.16 zip_derived_cl108, zip_derived_cl111])).
% 4.50/1.16 thf(zip_derived_cl117, plain,
% 4.50/1.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 4.50/1.16 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 4.50/1.16 inference('demod', [status(thm)],
% 4.50/1.16 [zip_derived_cl16, zip_derived_cl0, zip_derived_cl102,
% 4.50/1.16 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 4.50/1.16 zip_derived_cl108, zip_derived_cl111, zip_derived_cl115])).
% 4.50/1.16 thf(zip_derived_cl118, plain,
% 4.50/1.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 4.50/1.16 X7 : $i, X8 : $i]:
% 4.50/1.16 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 4.50/1.16 X7 @ X8)),
% 4.50/1.16 inference('demod', [status(thm)],
% 4.50/1.16 [zip_derived_cl17, zip_derived_cl0, zip_derived_cl102,
% 4.50/1.16 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 4.50/1.16 zip_derived_cl108, zip_derived_cl111, zip_derived_cl115,
% 4.50/1.16 zip_derived_cl117])).
% 4.50/1.16 thf(zip_derived_cl119, plain,
% 4.50/1.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 4.50/1.16 X7 : $i, X8 : $i, X9 : $i]:
% 4.50/1.16 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 4.50/1.16 X7 @ X8 @ X9)),
% 4.50/1.16 inference('demod', [status(thm)],
% 4.50/1.16 [zip_derived_cl18, zip_derived_cl0, zip_derived_cl102,
% 4.50/1.16 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 4.50/1.16 zip_derived_cl108, zip_derived_cl111, zip_derived_cl115,
% 4.50/1.16 zip_derived_cl117, zip_derived_cl118])).
% 4.50/1.16 thf(zip_derived_cl120, plain,
% 4.50/1.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 4.50/1.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 4.50/1.16 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 4.50/1.16 X6 @ X7 @ X8 @ X9 @ X10)),
% 4.50/1.16 inference('demod', [status(thm)],
% 4.50/1.16 [zip_derived_cl19, zip_derived_cl0, zip_derived_cl102,
% 4.50/1.16 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 4.50/1.16 zip_derived_cl108, zip_derived_cl111, zip_derived_cl115,
% 4.50/1.16 zip_derived_cl117, zip_derived_cl118, zip_derived_cl119])).
% 4.50/1.16 thf(zip_derived_cl122, plain,
% 4.50/1.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 4.50/1.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 4.50/1.16 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 4.50/1.16 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 4.50/1.16 inference('demod', [status(thm)],
% 4.50/1.16 [zip_derived_cl20, zip_derived_cl0, zip_derived_cl102,
% 4.50/1.16 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 4.50/1.16 zip_derived_cl108, zip_derived_cl111, zip_derived_cl115,
% 4.50/1.16 zip_derived_cl117, zip_derived_cl118, zip_derived_cl119,
% 4.50/1.16 zip_derived_cl120])).
% 4.50/1.16 thf(zip_derived_cl125, plain,
% 4.50/1.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 4.50/1.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 4.50/1.16 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 4.50/1.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 4.50/1.16 inference('demod', [status(thm)],
% 4.50/1.16 [zip_derived_cl23, zip_derived_cl0, zip_derived_cl102,
% 4.50/1.16 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 4.50/1.16 zip_derived_cl108, zip_derived_cl111, zip_derived_cl115,
% 4.50/1.16 zip_derived_cl117, zip_derived_cl118, zip_derived_cl119,
% 4.50/1.16 zip_derived_cl120, zip_derived_cl122])).
% 4.50/1.16 thf(zip_derived_cl127, plain,
% 4.50/1.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 4.50/1.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 4.50/1.16 (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 4.50/1.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)),
% 4.50/1.16 inference('demod', [status(thm)],
% 4.50/1.16 [zip_derived_cl26, zip_derived_cl0, zip_derived_cl102,
% 4.50/1.16 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 4.50/1.16 zip_derived_cl108, zip_derived_cl111, zip_derived_cl115,
% 4.50/1.16 zip_derived_cl117, zip_derived_cl118, zip_derived_cl119,
% 4.50/1.16 zip_derived_cl120, zip_derived_cl122, zip_derived_cl125])).
% 4.50/1.16 thf(zip_derived_cl131, plain,
% 4.50/1.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 4.50/1.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 4.50/1.16 X14 : $i]:
% 4.50/1.16 (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 4.50/1.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)),
% 4.50/1.16 inference('demod', [status(thm)],
% 4.50/1.16 [zip_derived_cl29, zip_derived_cl0, zip_derived_cl102,
% 4.50/1.16 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 4.50/1.16 zip_derived_cl108, zip_derived_cl111, zip_derived_cl115,
% 4.50/1.16 zip_derived_cl117, zip_derived_cl118, zip_derived_cl119,
% 4.50/1.16 zip_derived_cl120, zip_derived_cl122, zip_derived_cl125,
% 4.50/1.16 zip_derived_cl127])).
% 4.50/1.16 thf(zip_derived_cl135, plain,
% 4.50/1.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 4.50/1.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 4.50/1.16 X14 : $i, X15 : $i]:
% 4.50/1.16 (ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 4.50/1.16 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15)),
% 4.50/1.16 inference('demod', [status(thm)],
% 4.50/1.16 [zip_derived_cl33, zip_derived_cl0, zip_derived_cl102,
% 4.50/1.16 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 4.50/1.16 zip_derived_cl108, zip_derived_cl111, zip_derived_cl115,
% 4.50/1.16 zip_derived_cl117, zip_derived_cl118, zip_derived_cl119,
% 4.50/1.16 zip_derived_cl120, zip_derived_cl122, zip_derived_cl125,
% 4.50/1.16 zip_derived_cl127, zip_derived_cl131])).
% 4.50/1.16 thf(zip_derived_cl136, plain,
% 4.50/1.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 4.50/1.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 4.50/1.16 X14 : $i, X15 : $i, X16 : $i]:
% 4.50/1.16 (ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 4.50/1.16 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @
% 4.50/1.16 X16)),
% 4.50/1.16 inference('demod', [status(thm)],
% 4.50/1.16 [zip_derived_cl34, zip_derived_cl0, zip_derived_cl102,
% 4.50/1.16 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 4.50/1.16 zip_derived_cl108, zip_derived_cl111, zip_derived_cl115,
% 4.50/1.16 zip_derived_cl117, zip_derived_cl118, zip_derived_cl119,
% 4.50/1.16 zip_derived_cl120, zip_derived_cl122, zip_derived_cl125,
% 4.50/1.16 zip_derived_cl127, zip_derived_cl131, zip_derived_cl135])).
% 4.50/1.16 thf(zip_derived_cl139, plain,
% 4.50/1.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 4.50/1.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 4.50/1.16 X14 : $i, X15 : $i, X16 : $i, X17 : $i]:
% 4.50/1.16 (ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 4.50/1.16 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @
% 4.50/1.16 X15 @ X16 @ X17)),
% 4.50/1.16 inference('demod', [status(thm)],
% 4.50/1.16 [zip_derived_cl36, zip_derived_cl0, zip_derived_cl102,
% 4.50/1.16 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 4.50/1.16 zip_derived_cl108, zip_derived_cl111, zip_derived_cl115,
% 4.50/1.16 zip_derived_cl117, zip_derived_cl118, zip_derived_cl119,
% 4.50/1.16 zip_derived_cl120, zip_derived_cl122, zip_derived_cl125,
% 4.50/1.16 zip_derived_cl127, zip_derived_cl131, zip_derived_cl135,
% 4.50/1.16 zip_derived_cl136])).
% 4.50/1.16 thf(zip_derived_cl150, plain,
% 4.50/1.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 4.50/1.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 4.50/1.16 X14 : $i, X15 : $i, X16 : $i, X17 : $i, X18 : $i]:
% 4.50/1.16 ( (ssPv15_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 4.50/1.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 4.50/1.16 | ~ (ssPv24_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 4.50/1.16 | ~ (ssPv19_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 4.50/1.16 X6 @ X7 @ X8 @ X9)
% 4.50/1.16 | ~ (ssPv10_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @
% 4.50/1.16 X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 4.50/1.16 X14 @ X15 @ X16 @ X17 @ X18))),
% 4.50/1.16 inference('demod', [status(thm)],
% 4.50/1.16 [zip_derived_cl45, zip_derived_cl0, zip_derived_cl102,
% 4.50/1.16 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 4.50/1.16 zip_derived_cl108, zip_derived_cl111, zip_derived_cl115,
% 4.50/1.16 zip_derived_cl117, zip_derived_cl118, zip_derived_cl119,
% 4.50/1.16 zip_derived_cl120, zip_derived_cl122, zip_derived_cl125,
% 4.50/1.16 zip_derived_cl127, zip_derived_cl131, zip_derived_cl135,
% 4.50/1.16 zip_derived_cl136, zip_derived_cl139])).
% 4.50/1.16 thf(zip_derived_cl214, plain,
% 4.50/1.16 (![X5 : $i, X6 : $i, X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i,
% 4.50/1.16 X12 : $i, X13 : $i, X14 : $i, X15 : $i, X16 : $i]:
% 4.50/1.16 (~ (ssPv19_10r1r1r1r1r1r1r1r1r1r1 @ X16 @ X15 @ X14 @ X13 @ skc46 @
% 4.50/1.16 X12 @ X11 @ skc40 @ X10 @ X9)
% 4.50/1.16 | ~ (ssPv24_5r1r1r1r1r1 @ X16 @ X15 @ X14 @ X13 @ skc46)
% 4.50/1.16 | (ssPv15_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X16 @ X15 @ X14 @ X13 @
% 4.50/1.16 skc46 @ X12 @ X11 @ skc40 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5))),
% 4.50/1.16 inference('sup-', [status(thm)], [zip_derived_cl213, zip_derived_cl150])).
% 4.50/1.16 thf(zip_derived_cl199, plain,
% 4.50/1.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 4.50/1.16 X7 : $i, X8 : $i]:
% 4.50/1.16 (ssPv19_10r1r1r1r1r1r1r1r1r1r1 @ X3 @ X2 @ X1 @ X0 @ skc46 @ X8 @
% 4.50/1.16 X7 @ X6 @ X5 @ X4)),
% 4.50/1.16 inference('demod', [status(thm)], [zip_derived_cl159, zip_derived_cl197])).
% 4.50/1.16 thf(zip_derived_cl107, plain,
% 4.50/1.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 4.50/1.16 (ssPv24_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ skc46)),
% 4.50/1.16 inference('demod', [status(thm)],
% 4.50/1.16 [zip_derived_cl5, zip_derived_cl0, zip_derived_cl102,
% 4.50/1.16 zip_derived_cl103, zip_derived_cl104])).
% 4.50/1.16 thf(zip_derived_cl216, plain,
% 4.50/1.16 (![X5 : $i, X6 : $i, X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i,
% 4.50/1.16 X12 : $i, X13 : $i, X14 : $i, X15 : $i, X16 : $i]:
% 4.50/1.16 (ssPv15_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X16 @ X15 @ X14 @ X13 @
% 4.50/1.16 skc46 @ X12 @ X11 @ skc40 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5)),
% 4.50/1.16 inference('demod', [status(thm)],
% 4.50/1.16 [zip_derived_cl214, zip_derived_cl199, zip_derived_cl107])).
% 4.50/1.16 thf(zip_derived_cl124, plain,
% 4.50/1.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 4.50/1.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 4.50/1.16 ~ (ssPv15_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 4.50/1.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ skc37)),
% 4.50/1.16 inference('demod', [status(thm)],
% 4.50/1.16 [zip_derived_cl25, zip_derived_cl0, zip_derived_cl102,
% 4.50/1.16 zip_derived_cl103, zip_derived_cl104, zip_derived_cl106,
% 4.50/1.16 zip_derived_cl108, zip_derived_cl111, zip_derived_cl115,
% 4.50/1.16 zip_derived_cl117, zip_derived_cl118, zip_derived_cl119,
% 4.50/1.16 zip_derived_cl120, zip_derived_cl122])).
% 4.50/1.16 thf(zip_derived_cl219, plain, ($false),
% 4.50/1.16 inference('sup-', [status(thm)], [zip_derived_cl216, zip_derived_cl124])).
% 4.50/1.16
% 4.50/1.16 % SZS output end Refutation
% 4.50/1.16
% 4.50/1.16
% 4.50/1.16 % /export/starexec/sandbox2/solver/bin/fo/fo1_lcnf.sh running for 50s
% 4.50/1.16 % Terminating...
% 5.57/300.02 Alarm clock
% 5.57/300.02 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------