TSTP Solution File: SYN895-1 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYN895-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.s7VES7p4Nn true
% Computer : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 1 04:06:04 EDT 2023
% Result : Unsatisfiable 1.31s 1.19s
% Output : Refutation 1.31s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN895-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.s7VES7p4Nn true
% 0.13/0.34 % Computer : n010.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sat Aug 26 18:45:04 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.20/0.35 % Python version: Python 3.6.8
% 0.20/0.35 % Running in FO mode
% 0.21/0.65 % Total configuration time : 435
% 0.21/0.65 % Estimated wc time : 1092
% 0.21/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.70 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.31/1.19 % Solved by fo/fo7.sh.
% 1.31/1.19 % done 178 iterations in 0.335s
% 1.31/1.19 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.31/1.19 % SZS output start Refutation
% 1.31/1.19 thf(ssNder1_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type,
% 1.31/1.19 ssNder1_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1: $i > $i > $i >
% 1.31/1.19 $i > $i > $i >
% 1.31/1.19 $i > $i > $i >
% 1.31/1.19 $i > $i > $i >
% 1.31/1.19 $i > $i > $i >
% 1.31/1.19 $i > $i > $i >
% 1.31/1.19 $i > $i > $i > $i > $o).
% 1.31/1.19 thf(skc34_type, type, skc34: $i).
% 1.31/1.19 thf(ssNder1_3r1r1r1_type, type, ssNder1_3r1r1r1: $i > $i > $i > $o).
% 1.31/1.19 thf(ssNder1_1r1_type, type, ssNder1_1r1: $i > $o).
% 1.31/1.19 thf(skc24_type, type, skc24: $i).
% 1.31/1.19 thf(ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 1.31/1.19 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 1.31/1.19 thf(ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 1.31/1.19 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i >
% 1.31/1.19 $i > $i > $i > $i > $i > $o).
% 1.31/1.19 thf(ssNder1_5r1r1r1r1r1_type, type, ssNder1_5r1r1r1r1r1: $i > $i > $i > $i >
% 1.31/1.19 $i > $o).
% 1.31/1.19 thf(skc26_type, type, skc26: $i).
% 1.31/1.19 thf(ssNder1_8r1r1r1r1r1r1r1r1_type, type, ssNder1_8r1r1r1r1r1r1r1r1:
% 1.31/1.19 $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 1.31/1.19 thf(ssPv11_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssPv11_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 1.31/1.19 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i >
% 1.31/1.19 $i > $i > $i > $i > $o).
% 1.31/1.19 thf(ssNder1_10r1r1r1r1r1r1r1r1r1r1_type, type, ssNder1_10r1r1r1r1r1r1r1r1r1r1:
% 1.31/1.19 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 1.31/1.19 thf(skc31_type, type, skc31: $i).
% 1.31/1.19 thf(ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1:
% 1.31/1.19 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 1.31/1.19 thf(skc28_type, type, skc28: $i).
% 1.31/1.19 thf(ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1:
% 1.31/1.19 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 1.31/1.19 thf(ssPv15_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssPv15_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 1.31/1.19 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 1.31/1.19 thf(ssPv18_11r1r1r1r1r1r1r1r1r1r1r1_type, type, ssPv18_11r1r1r1r1r1r1r1r1r1r1r1:
% 1.31/1.19 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 1.31/1.19 thf(ssPv23_6r1r1r1r1r1r1_type, type, ssPv23_6r1r1r1r1r1r1: $i > $i > $i >
% 1.31/1.19 $i > $i > $i > $o).
% 1.31/1.19 thf(skc42_type, type, skc42: $i).
% 1.31/1.19 thf(ssPv14_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssPv14_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 1.31/1.19 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 1.31/1.19 thf(ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 1.31/1.19 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i >
% 1.31/1.19 $i > $i > $i > $i > $o).
% 1.31/1.19 thf(ssNder1_6r1r1r1r1r1r1_type, type, ssNder1_6r1r1r1r1r1r1: $i > $i > $i >
% 1.31/1.19 $i > $i > $i > $o).
% 1.31/1.19 thf(ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 1.31/1.19 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i >
% 1.31/1.19 $i > $i > $i > $i > $i > $i > $o).
% 1.31/1.19 thf(skc44_type, type, skc44: $i).
% 1.31/1.19 thf(ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 1.31/1.19 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 1.31/1.19 thf(skc47_type, type, skc47: $i).
% 1.31/1.19 thf(ssPv20_9r1r1r1r1r1r1r1r1r1_type, type, ssPv20_9r1r1r1r1r1r1r1r1r1:
% 1.31/1.19 $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 1.31/1.19 thf(ssPv5_24r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type,
% 1.31/1.19 ssPv5_24r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1: $i > $i > $i >
% 1.31/1.19 $i > $i > $i >
% 1.31/1.19 $i > $i > $i >
% 1.31/1.19 $i > $i > $i >
% 1.31/1.19 $i > $i > $i >
% 1.31/1.19 $i > $i > $i >
% 1.31/1.19 $i > $i > $i >
% 1.31/1.19 $i > $i > $i > $o).
% 1.31/1.19 thf(skc32_type, type, skc32: $i).
% 1.31/1.19 thf(ssPv8_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssPv8_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 1.31/1.19 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i >
% 1.31/1.19 $i > $i > $i > $i > $i > $i > $i > $o).
% 1.31/1.19 thf(ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 1.31/1.19 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i >
% 1.31/1.19 $i > $i > $o).
% 1.31/1.19 thf(ssPv7_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type,
% 1.31/1.19 ssPv7_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1: $i > $i > $i >
% 1.31/1.19 $i > $i > $i >
% 1.31/1.19 $i > $i > $i >
% 1.31/1.19 $i > $i > $i >
% 1.31/1.19 $i > $i > $i >
% 1.31/1.19 $i > $i > $i >
% 1.31/1.19 $i > $i > $i > $i > $o).
% 1.31/1.19 thf(ssNder1_23r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type,
% 1.31/1.19 ssNder1_23r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1: $i > $i > $i >
% 1.31/1.19 $i > $i > $i >
% 1.31/1.19 $i > $i > $i >
% 1.31/1.19 $i > $i > $i >
% 1.31/1.19 $i > $i > $i >
% 1.31/1.19 $i > $i > $i >
% 1.31/1.19 $i > $i > $i >
% 1.31/1.19 $i > $i > $o).
% 1.31/1.19 thf(ssNder1_7r1r1r1r1r1r1r1_type, type, ssNder1_7r1r1r1r1r1r1r1: $i > $i >
% 1.31/1.19 $i > $i >
% 1.31/1.19 $i > $i > $i > $o).
% 1.31/1.19 thf(ssNder1_9r1r1r1r1r1r1r1r1r1_type, type, ssNder1_9r1r1r1r1r1r1r1r1r1:
% 1.31/1.19 $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 1.31/1.19 thf(ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 1.31/1.19 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i >
% 1.31/1.19 $i > $i > $i > $o).
% 1.31/1.19 thf(ssNder1_11r1r1r1r1r1r1r1r1r1r1r1_type, type, ssNder1_11r1r1r1r1r1r1r1r1r1r1r1:
% 1.31/1.19 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 1.31/1.19 thf(ssPv6_23r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type,
% 1.31/1.19 ssPv6_23r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1: $i > $i > $i >
% 1.31/1.19 $i > $i > $i >
% 1.31/1.19 $i > $i > $i >
% 1.31/1.19 $i > $i > $i >
% 1.31/1.19 $i > $i > $i >
% 1.31/1.19 $i > $i > $i >
% 1.31/1.19 $i > $i > $i >
% 1.31/1.19 $i > $i > $o).
% 1.31/1.19 thf(ssPv26_3r1r1r1_type, type, ssPv26_3r1r1r1: $i > $i > $i > $o).
% 1.31/1.19 thf(ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type,
% 1.31/1.19 ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1: $i > $i > $i >
% 1.31/1.19 $i > $i > $i >
% 1.31/1.19 $i > $i > $i >
% 1.31/1.19 $i > $i > $i >
% 1.31/1.19 $i > $i > $i >
% 1.31/1.19 $i > $i > $i >
% 1.31/1.19 $i > $i > $i > $o).
% 1.31/1.19 thf(ssPv21_8r1r1r1r1r1r1r1r1_type, type, ssPv21_8r1r1r1r1r1r1r1r1: $i > $i >
% 1.31/1.19 $i > $i >
% 1.31/1.19 $i > $i >
% 1.31/1.19 $i > $i > $o).
% 1.31/1.19 thf(ssNder1_0_type, type, ssNder1_0: $o).
% 1.31/1.19 thf(ssPv13_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssPv13_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 1.31/1.19 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i >
% 1.31/1.19 $i > $i > $o).
% 1.31/1.19 thf(ssNder1_4r1r1r1r1_type, type, ssNder1_4r1r1r1r1: $i > $i > $i > $i > $o).
% 1.31/1.19 thf(ssPv25_4r1r1r1r1_type, type, ssPv25_4r1r1r1r1: $i > $i > $i > $i > $o).
% 1.31/1.19 thf(skc30_type, type, skc30: $i).
% 1.31/1.19 thf(ssPv22_7r1r1r1r1r1r1r1_type, type, ssPv22_7r1r1r1r1r1r1r1: $i > $i >
% 1.31/1.19 $i > $i >
% 1.31/1.19 $i > $i > $i > $o).
% 1.31/1.19 thf(skc41_type, type, skc41: $i).
% 1.31/1.19 thf(ssPv24_5r1r1r1r1r1_type, type, ssPv24_5r1r1r1r1r1: $i > $i > $i > $i > $i > $o).
% 1.31/1.19 thf(ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 1.31/1.19 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 1.31/1.19 thf(ssNder1_2r1r1_type, type, ssNder1_2r1r1: $i > $i > $o).
% 1.31/1.19 thf(skc27_type, type, skc27: $i).
% 1.31/1.19 thf(skc37_type, type, skc37: $i).
% 1.31/1.19 thf(clause7, conjecture,
% 1.31/1.19 (~( ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.31/1.19 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 1.31/1.19 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.31/1.19 ( ~( ssPv24_5r1r1r1r1r1 @ U @ V @ W @ X @ skc47 ) ) ))).
% 1.31/1.19 thf(zf_stmt_0, negated_conjecture,
% 1.31/1.19 (( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.31/1.19 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.31/1.19 ( ~( ssPv24_5r1r1r1r1r1 @ U @ V @ W @ X @ skc47 ) )),
% 1.31/1.19 inference('cnf.neg', [status(esa)], [clause7])).
% 1.31/1.19 thf(zip_derived_cl95, plain,
% 1.31/1.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.31/1.19 (~ (ssNder1_0)
% 1.31/1.19 | ~ (ssNder1_1r1 @ X0)
% 1.31/1.19 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 1.31/1.19 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 1.31/1.19 | ~ (ssPv24_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ skc47))),
% 1.31/1.19 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.31/1.19 thf(clause1, conjecture, (~( ssNder1_0 ))).
% 1.31/1.19 thf(zf_stmt_1, negated_conjecture, (ssNder1_0),
% 1.31/1.19 inference('cnf.neg', [status(esa)], [clause1])).
% 1.31/1.19 thf(zip_derived_cl101, plain, ( (ssNder1_0)),
% 1.31/1.19 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.31/1.19 thf(zip_derived_cl106, plain,
% 1.31/1.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.31/1.19 (~ (ssNder1_1r1 @ X0)
% 1.31/1.19 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 1.31/1.19 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 1.31/1.19 | ~ (ssPv24_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ skc47))),
% 1.31/1.19 inference('demod', [status(thm)], [zip_derived_cl95, zip_derived_cl101])).
% 1.31/1.19 thf(clause2, conjecture, (~( ( ssNder1_1r1 @ U ) | ( ~( ssNder1_0 ) ) ))).
% 1.31/1.19 thf(zf_stmt_2, negated_conjecture,
% 1.31/1.19 (( ssNder1_1r1 @ U ) | ( ~( ssNder1_0 ) )),
% 1.31/1.19 inference('cnf.neg', [status(esa)], [clause2])).
% 1.31/1.19 thf(zip_derived_cl100, plain,
% 1.31/1.19 (![X0 : $i]: ( (ssNder1_1r1 @ X0) | ~ (ssNder1_0))),
% 1.31/1.19 inference('cnf', [status(esa)], [zf_stmt_2])).
% 1.31/1.19 thf(zip_derived_cl101, plain, ( (ssNder1_0)),
% 1.31/1.19 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.31/1.19 thf(zip_derived_cl107, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 1.31/1.19 inference('demod', [status(thm)], [zip_derived_cl100, zip_derived_cl101])).
% 1.31/1.19 thf(clause3, conjecture,
% 1.31/1.19 (~( ( ssNder1_2r1r1 @ U @ V ) | ( ~( ssNder1_0 ) ) |
% 1.31/1.19 ( ~( ssNder1_1r1 @ U ) ) ))).
% 1.31/1.19 thf(zf_stmt_3, negated_conjecture,
% 1.31/1.19 (( ssNder1_2r1r1 @ U @ V ) | ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) )),
% 1.31/1.19 inference('cnf.neg', [status(esa)], [clause3])).
% 1.31/1.19 thf(zip_derived_cl99, plain,
% 1.31/1.19 (![X0 : $i, X1 : $i]:
% 1.31/1.19 ( (ssNder1_2r1r1 @ X0 @ X1) | ~ (ssNder1_0) | ~ (ssNder1_1r1 @ X0))),
% 1.31/1.19 inference('cnf', [status(esa)], [zf_stmt_3])).
% 1.31/1.19 thf(zip_derived_cl101, plain, ( (ssNder1_0)),
% 1.31/1.19 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.31/1.19 thf(zip_derived_cl107, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 1.31/1.19 inference('demod', [status(thm)], [zip_derived_cl100, zip_derived_cl101])).
% 1.31/1.19 thf(zip_derived_cl108, plain,
% 1.31/1.19 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 1.31/1.19 inference('demod', [status(thm)],
% 1.31/1.19 [zip_derived_cl99, zip_derived_cl101, zip_derived_cl107])).
% 1.31/1.19 thf(clause4, conjecture,
% 1.31/1.19 (~( ( ssNder1_3r1r1r1 @ U @ V @ W ) | ( ~( ssNder1_0 ) ) |
% 1.31/1.19 ( ~( ssNder1_1r1 @ U ) ) | ( ~( ssNder1_2r1r1 @ U @ V ) ) ))).
% 1.31/1.19 thf(zf_stmt_4, negated_conjecture,
% 1.31/1.19 (( ssNder1_3r1r1r1 @ U @ V @ W ) | ( ~( ssNder1_0 ) ) |
% 1.31/1.19 ( ~( ssNder1_1r1 @ U ) ) | ( ~( ssNder1_2r1r1 @ U @ V ) )),
% 1.31/1.19 inference('cnf.neg', [status(esa)], [clause4])).
% 1.31/1.19 thf(zip_derived_cl98, plain,
% 1.31/1.19 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.31/1.19 ( (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 1.31/1.19 | ~ (ssNder1_0)
% 1.31/1.19 | ~ (ssNder1_1r1 @ X0)
% 1.31/1.19 | ~ (ssNder1_2r1r1 @ X0 @ X1))),
% 1.31/1.19 inference('cnf', [status(esa)], [zf_stmt_4])).
% 1.31/1.19 thf(zip_derived_cl101, plain, ( (ssNder1_0)),
% 1.31/1.19 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.31/1.19 thf(zip_derived_cl107, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 1.31/1.19 inference('demod', [status(thm)], [zip_derived_cl100, zip_derived_cl101])).
% 1.31/1.19 thf(zip_derived_cl108, plain,
% 1.31/1.19 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 1.31/1.19 inference('demod', [status(thm)],
% 1.31/1.19 [zip_derived_cl99, zip_derived_cl101, zip_derived_cl107])).
% 1.31/1.19 thf(zip_derived_cl109, plain,
% 1.31/1.19 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 1.31/1.19 inference('demod', [status(thm)],
% 1.31/1.19 [zip_derived_cl98, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.19 zip_derived_cl108])).
% 1.31/1.19 thf(zip_derived_cl115, plain,
% 1.31/1.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.31/1.19 ~ (ssPv24_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ skc47)),
% 1.31/1.19 inference('demod', [status(thm)],
% 1.31/1.19 [zip_derived_cl106, zip_derived_cl107, zip_derived_cl108,
% 1.31/1.19 zip_derived_cl109])).
% 1.31/1.19 thf(clause9, conjecture,
% 1.31/1.19 (~( ( ssPv23_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ skc44 ) |
% 1.31/1.19 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.31/1.19 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 1.31/1.19 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.31/1.19 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) ))).
% 1.31/1.19 thf(zf_stmt_5, negated_conjecture,
% 1.31/1.19 (( ssPv23_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ skc44 ) |
% 1.31/1.19 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.31/1.19 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.31/1.19 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) )),
% 1.31/1.19 inference('cnf.neg', [status(esa)], [clause9])).
% 1.31/1.19 thf(zip_derived_cl93, plain,
% 1.31/1.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.31/1.19 ( (ssPv23_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ skc44)
% 1.31/1.19 | ~ (ssNder1_0)
% 1.31/1.19 | ~ (ssNder1_1r1 @ X0)
% 1.31/1.19 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 1.31/1.19 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 1.31/1.19 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3))),
% 1.31/1.19 inference('cnf', [status(esa)], [zf_stmt_5])).
% 1.31/1.19 thf(zip_derived_cl101, plain, ( (ssNder1_0)),
% 1.31/1.19 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.31/1.19 thf(zip_derived_cl107, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 1.31/1.19 inference('demod', [status(thm)], [zip_derived_cl100, zip_derived_cl101])).
% 1.31/1.19 thf(zip_derived_cl108, plain,
% 1.31/1.19 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 1.31/1.19 inference('demod', [status(thm)],
% 1.31/1.19 [zip_derived_cl99, zip_derived_cl101, zip_derived_cl107])).
% 1.31/1.19 thf(zip_derived_cl109, plain,
% 1.31/1.19 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 1.31/1.19 inference('demod', [status(thm)],
% 1.31/1.19 [zip_derived_cl98, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.19 zip_derived_cl108])).
% 1.31/1.19 thf(clause5, conjecture,
% 1.31/1.19 (~( ( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) | ( ~( ssNder1_0 ) ) |
% 1.31/1.19 ( ~( ssNder1_1r1 @ U ) ) | ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 1.31/1.19 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) ))).
% 1.31/1.19 thf(zf_stmt_6, negated_conjecture,
% 1.31/1.19 (( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) | ( ~( ssNder1_0 ) ) |
% 1.31/1.19 ( ~( ssNder1_1r1 @ U ) ) | ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 1.31/1.19 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) )),
% 1.31/1.19 inference('cnf.neg', [status(esa)], [clause5])).
% 1.31/1.19 thf(zip_derived_cl97, plain,
% 1.31/1.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.31/1.19 ( (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 1.31/1.19 | ~ (ssNder1_0)
% 1.31/1.19 | ~ (ssNder1_1r1 @ X0)
% 1.31/1.19 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 1.31/1.19 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2))),
% 1.31/1.19 inference('cnf', [status(esa)], [zf_stmt_6])).
% 1.31/1.19 thf(zip_derived_cl101, plain, ( (ssNder1_0)),
% 1.31/1.19 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.31/1.19 thf(zip_derived_cl107, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 1.31/1.19 inference('demod', [status(thm)], [zip_derived_cl100, zip_derived_cl101])).
% 1.31/1.19 thf(zip_derived_cl108, plain,
% 1.31/1.19 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 1.31/1.19 inference('demod', [status(thm)],
% 1.31/1.19 [zip_derived_cl99, zip_derived_cl101, zip_derived_cl107])).
% 1.31/1.19 thf(zip_derived_cl109, plain,
% 1.31/1.19 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 1.31/1.19 inference('demod', [status(thm)],
% 1.31/1.19 [zip_derived_cl98, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.19 zip_derived_cl108])).
% 1.31/1.19 thf(zip_derived_cl110, plain,
% 1.31/1.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.31/1.19 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 1.31/1.19 inference('demod', [status(thm)],
% 1.31/1.19 [zip_derived_cl97, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.19 zip_derived_cl108, zip_derived_cl109])).
% 1.31/1.19 thf(zip_derived_cl113, plain,
% 1.31/1.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.31/1.19 (ssPv23_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ skc44)),
% 1.31/1.19 inference('demod', [status(thm)],
% 1.31/1.19 [zip_derived_cl93, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.19 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110])).
% 1.31/1.19 thf(clause12, conjecture,
% 1.31/1.19 (~( ( ssPv22_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ skc42 ) |
% 1.31/1.19 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.31/1.19 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 1.31/1.19 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.31/1.19 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.31/1.19 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) ))).
% 1.31/1.19 thf(zf_stmt_7, negated_conjecture,
% 1.31/1.19 (( ssPv22_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ skc42 ) |
% 1.31/1.19 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.31/1.19 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.31/1.19 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.31/1.19 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) )),
% 1.31/1.19 inference('cnf.neg', [status(esa)], [clause12])).
% 1.31/1.19 thf(zip_derived_cl90, plain,
% 1.31/1.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.31/1.19 ( (ssPv22_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ skc42)
% 1.31/1.19 | ~ (ssNder1_0)
% 1.31/1.19 | ~ (ssNder1_1r1 @ X0)
% 1.31/1.19 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 1.31/1.19 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 1.31/1.19 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 1.31/1.19 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4))),
% 1.31/1.19 inference('cnf', [status(esa)], [zf_stmt_7])).
% 1.31/1.19 thf(zip_derived_cl101, plain, ( (ssNder1_0)),
% 1.31/1.19 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.31/1.19 thf(zip_derived_cl107, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 1.31/1.19 inference('demod', [status(thm)], [zip_derived_cl100, zip_derived_cl101])).
% 1.31/1.19 thf(zip_derived_cl108, plain,
% 1.31/1.19 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 1.31/1.19 inference('demod', [status(thm)],
% 1.31/1.19 [zip_derived_cl99, zip_derived_cl101, zip_derived_cl107])).
% 1.31/1.19 thf(zip_derived_cl109, plain,
% 1.31/1.19 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 1.31/1.19 inference('demod', [status(thm)],
% 1.31/1.19 [zip_derived_cl98, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.19 zip_derived_cl108])).
% 1.31/1.19 thf(zip_derived_cl110, plain,
% 1.31/1.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.31/1.19 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 1.31/1.19 inference('demod', [status(thm)],
% 1.31/1.19 [zip_derived_cl97, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.19 zip_derived_cl108, zip_derived_cl109])).
% 1.31/1.19 thf(clause8, conjecture,
% 1.31/1.19 (~( ( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) | ( ~( ssNder1_0 ) ) |
% 1.31/1.19 ( ~( ssNder1_1r1 @ U ) ) | ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 1.31/1.19 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.31/1.19 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) ))).
% 1.31/1.19 thf(zf_stmt_8, negated_conjecture,
% 1.31/1.19 (( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) | ( ~( ssNder1_0 ) ) |
% 1.31/1.19 ( ~( ssNder1_1r1 @ U ) ) | ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 1.31/1.19 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.31/1.19 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) )),
% 1.31/1.19 inference('cnf.neg', [status(esa)], [clause8])).
% 1.31/1.19 thf(zip_derived_cl94, plain,
% 1.31/1.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.31/1.19 ( (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 1.31/1.19 | ~ (ssNder1_0)
% 1.31/1.19 | ~ (ssNder1_1r1 @ X0)
% 1.31/1.19 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 1.31/1.19 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 1.31/1.19 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3))),
% 1.31/1.19 inference('cnf', [status(esa)], [zf_stmt_8])).
% 1.31/1.19 thf(zip_derived_cl101, plain, ( (ssNder1_0)),
% 1.31/1.19 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.31/1.19 thf(zip_derived_cl107, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 1.31/1.19 inference('demod', [status(thm)], [zip_derived_cl100, zip_derived_cl101])).
% 1.31/1.19 thf(zip_derived_cl108, plain,
% 1.31/1.19 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 1.31/1.19 inference('demod', [status(thm)],
% 1.31/1.19 [zip_derived_cl99, zip_derived_cl101, zip_derived_cl107])).
% 1.31/1.19 thf(zip_derived_cl109, plain,
% 1.31/1.19 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 1.31/1.19 inference('demod', [status(thm)],
% 1.31/1.19 [zip_derived_cl98, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.19 zip_derived_cl108])).
% 1.31/1.19 thf(zip_derived_cl110, plain,
% 1.31/1.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.31/1.19 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 1.31/1.19 inference('demod', [status(thm)],
% 1.31/1.19 [zip_derived_cl97, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.19 zip_derived_cl108, zip_derived_cl109])).
% 1.31/1.19 thf(zip_derived_cl112, plain,
% 1.31/1.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.31/1.19 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 1.31/1.19 inference('demod', [status(thm)],
% 1.31/1.19 [zip_derived_cl94, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.19 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110])).
% 1.31/1.19 thf(zip_derived_cl118, plain,
% 1.31/1.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.31/1.19 (ssPv22_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ skc42)),
% 1.31/1.19 inference('demod', [status(thm)],
% 1.31/1.19 [zip_derived_cl90, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.19 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.19 zip_derived_cl112])).
% 1.31/1.19 thf(clause64, conjecture,
% 1.31/1.19 (~( ( ssPv5_24r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.19 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 1.31/1.19 X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ skc24 ) |
% 1.31/1.19 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.31/1.19 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 1.31/1.19 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.31/1.19 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.31/1.19 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.31/1.19 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 1.31/1.19 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 1.31/1.19 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 1.31/1.19 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 1.31/1.19 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.19 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 1.31/1.19 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.19 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 1.31/1.19 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.19 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 1.31/1.19 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.19 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 1.31/1.19 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.19 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 1.31/1.19 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.19 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 1.31/1.19 ( ~( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.19 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 1.31/1.19 X9 @ X10 ) ) |
% 1.31/1.19 ( ~( ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.19 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 1.31/1.19 X9 @ X10 @ X11 ) ) |
% 1.31/1.19 ( ~( ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.19 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 1.31/1.19 X9 @ X10 @ X11 @ X12 ) ) |
% 1.31/1.19 ( ~( ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.19 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 1.31/1.19 X9 @ X10 @ X11 @ X12 @ X13 ) ) |
% 1.31/1.19 ( ~( ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.19 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 1.31/1.19 X9 @ X10 @ X11 @ X12 @ X13 @ X14 ) ) |
% 1.31/1.19 ( ~( ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.19 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 1.31/1.19 X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 ) ) |
% 1.31/1.19 ( ~( ssNder1_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.19 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 1.31/1.19 X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 ) ) ))).
% 1.31/1.19 thf(zf_stmt_9, negated_conjecture,
% 1.31/1.19 (( ssPv5_24r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.19 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 1.31/1.19 X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ skc24 ) |
% 1.31/1.19 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.31/1.19 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.31/1.19 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.31/1.19 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.31/1.19 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 1.31/1.19 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 1.31/1.19 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 1.31/1.19 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 1.31/1.19 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.19 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 1.31/1.19 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.19 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 1.31/1.19 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.19 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 1.31/1.19 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.19 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 1.31/1.19 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.19 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 1.31/1.19 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.19 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 1.31/1.19 ( ~( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.19 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 1.31/1.19 X10 ) ) |
% 1.31/1.19 ( ~( ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.19 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 1.31/1.19 X10 @ X11 ) ) |
% 1.31/1.19 ( ~( ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.19 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 1.31/1.19 X10 @ X11 @ X12 ) ) |
% 1.31/1.19 ( ~( ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.19 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 1.31/1.19 X10 @ X11 @ X12 @ X13 ) ) |
% 1.31/1.19 ( ~( ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.19 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 1.31/1.19 X10 @ X11 @ X12 @ X13 @ X14 ) ) |
% 1.31/1.19 ( ~( ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.19 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 1.31/1.19 X10 @ X11 @ X12 @ X13 @ X14 @ X15 ) ) |
% 1.31/1.19 ( ~( ssNder1_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.19 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 1.31/1.19 X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 ) )),
% 1.31/1.19 inference('cnf.neg', [status(esa)], [clause64])).
% 1.31/1.19 thf(zip_derived_cl38, plain,
% 1.31/1.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.19 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.31/1.19 X14 : $i, X15 : $i, X16 : $i, X17 : $i, X18 : $i, X19 : $i, X20 : $i,
% 1.31/1.19 X21 : $i, X22 : $i]:
% 1.31/1.19 ( (ssPv5_24r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @
% 1.31/1.19 X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @
% 1.31/1.19 X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ skc24)
% 1.31/1.19 | ~ (ssNder1_0)
% 1.31/1.19 | ~ (ssNder1_1r1 @ X0)
% 1.31/1.19 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 1.31/1.19 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 1.31/1.19 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 1.31/1.19 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 1.31/1.19 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 1.31/1.19 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 1.31/1.19 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.31/1.19 X7)
% 1.31/1.19 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.31/1.19 X6 @ X7 @ X8)
% 1.31/1.19 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.31/1.19 X6 @ X7 @ X8 @ X9)
% 1.31/1.19 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.31/1.19 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 1.31/1.19 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.31/1.19 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 1.31/1.19 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.31/1.19 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 1.31/1.19 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 1.31/1.19 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 1.31/1.19 | ~ (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 1.31/1.19 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 1.31/1.19 | ~ (ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 1.31/1.19 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 1.31/1.19 X14 @ X15)
% 1.31/1.19 | ~ (ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 1.31/1.19 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 1.31/1.19 X14 @ X15 @ X16)
% 1.31/1.19 | ~ (ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 1.31/1.19 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 1.31/1.19 X14 @ X15 @ X16 @ X17)
% 1.31/1.19 | ~ (ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @
% 1.31/1.19 X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 1.31/1.19 X14 @ X15 @ X16 @ X17 @ X18)
% 1.31/1.19 | ~ (ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @
% 1.31/1.19 X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 1.31/1.19 X14 @ X15 @ X16 @ X17 @ X18 @ X19)
% 1.31/1.19 | ~ (ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @
% 1.31/1.19 X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @
% 1.31/1.19 X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20)
% 1.31/1.19 | ~ (ssNder1_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @
% 1.31/1.19 X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @
% 1.31/1.19 X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21))),
% 1.31/1.19 inference('cnf', [status(esa)], [zf_stmt_9])).
% 1.31/1.19 thf(zip_derived_cl101, plain, ( (ssNder1_0)),
% 1.31/1.19 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.31/1.19 thf(zip_derived_cl107, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 1.31/1.19 inference('demod', [status(thm)], [zip_derived_cl100, zip_derived_cl101])).
% 1.31/1.19 thf(zip_derived_cl108, plain,
% 1.31/1.19 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 1.31/1.19 inference('demod', [status(thm)],
% 1.31/1.19 [zip_derived_cl99, zip_derived_cl101, zip_derived_cl107])).
% 1.31/1.19 thf(zip_derived_cl109, plain,
% 1.31/1.19 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 1.31/1.19 inference('demod', [status(thm)],
% 1.31/1.19 [zip_derived_cl98, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.19 zip_derived_cl108])).
% 1.31/1.19 thf(zip_derived_cl110, plain,
% 1.31/1.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.31/1.19 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 1.31/1.19 inference('demod', [status(thm)],
% 1.31/1.19 [zip_derived_cl97, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.19 zip_derived_cl108, zip_derived_cl109])).
% 1.31/1.19 thf(zip_derived_cl112, plain,
% 1.31/1.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.31/1.19 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 1.31/1.19 inference('demod', [status(thm)],
% 1.31/1.19 [zip_derived_cl94, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.19 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110])).
% 1.31/1.19 thf(clause11, conjecture,
% 1.31/1.19 (~( ( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) |
% 1.31/1.19 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.31/1.19 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 1.31/1.19 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.31/1.19 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.31/1.19 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) ))).
% 1.31/1.19 thf(zf_stmt_10, negated_conjecture,
% 1.31/1.19 (( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) | ( ~( ssNder1_0 ) ) |
% 1.31/1.19 ( ~( ssNder1_1r1 @ U ) ) | ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 1.31/1.19 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.31/1.19 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.31/1.19 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) )),
% 1.31/1.19 inference('cnf.neg', [status(esa)], [clause11])).
% 1.31/1.19 thf(zip_derived_cl91, plain,
% 1.31/1.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.31/1.19 ( (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 1.31/1.19 | ~ (ssNder1_0)
% 1.31/1.19 | ~ (ssNder1_1r1 @ X0)
% 1.31/1.19 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 1.31/1.19 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 1.31/1.19 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 1.31/1.19 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4))),
% 1.31/1.19 inference('cnf', [status(esa)], [zf_stmt_10])).
% 1.31/1.19 thf(zip_derived_cl101, plain, ( (ssNder1_0)),
% 1.31/1.19 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.31/1.19 thf(zip_derived_cl107, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 1.31/1.19 inference('demod', [status(thm)], [zip_derived_cl100, zip_derived_cl101])).
% 1.31/1.19 thf(zip_derived_cl108, plain,
% 1.31/1.19 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 1.31/1.19 inference('demod', [status(thm)],
% 1.31/1.19 [zip_derived_cl99, zip_derived_cl101, zip_derived_cl107])).
% 1.31/1.19 thf(zip_derived_cl109, plain,
% 1.31/1.19 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 1.31/1.19 inference('demod', [status(thm)],
% 1.31/1.19 [zip_derived_cl98, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.19 zip_derived_cl108])).
% 1.31/1.19 thf(zip_derived_cl110, plain,
% 1.31/1.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.31/1.19 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 1.31/1.19 inference('demod', [status(thm)],
% 1.31/1.19 [zip_derived_cl97, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.19 zip_derived_cl108, zip_derived_cl109])).
% 1.31/1.19 thf(zip_derived_cl112, plain,
% 1.31/1.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.31/1.19 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 1.31/1.19 inference('demod', [status(thm)],
% 1.31/1.19 [zip_derived_cl94, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.19 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110])).
% 1.31/1.19 thf(zip_derived_cl114, plain,
% 1.31/1.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.31/1.19 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 1.31/1.19 inference('demod', [status(thm)],
% 1.31/1.19 [zip_derived_cl91, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.19 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.19 zip_derived_cl112])).
% 1.31/1.19 thf(clause14, conjecture,
% 1.31/1.19 (~( ( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) |
% 1.31/1.19 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.31/1.19 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 1.31/1.19 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.31/1.19 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.31/1.19 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.31/1.19 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) ))).
% 1.31/1.19 thf(zf_stmt_11, negated_conjecture,
% 1.31/1.19 (( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) |
% 1.31/1.19 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.31/1.19 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.31/1.19 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.31/1.19 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.31/1.19 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) )),
% 1.31/1.19 inference('cnf.neg', [status(esa)], [clause14])).
% 1.31/1.19 thf(zip_derived_cl88, plain,
% 1.31/1.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 1.31/1.19 ( (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 1.31/1.19 | ~ (ssNder1_0)
% 1.31/1.19 | ~ (ssNder1_1r1 @ X0)
% 1.31/1.19 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 1.31/1.19 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 1.31/1.19 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 1.31/1.19 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 1.31/1.19 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5))),
% 1.31/1.19 inference('cnf', [status(esa)], [zf_stmt_11])).
% 1.31/1.19 thf(zip_derived_cl101, plain, ( (ssNder1_0)),
% 1.31/1.19 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.31/1.19 thf(zip_derived_cl107, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 1.31/1.19 inference('demod', [status(thm)], [zip_derived_cl100, zip_derived_cl101])).
% 1.31/1.19 thf(zip_derived_cl108, plain,
% 1.31/1.19 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 1.31/1.19 inference('demod', [status(thm)],
% 1.31/1.19 [zip_derived_cl99, zip_derived_cl101, zip_derived_cl107])).
% 1.31/1.19 thf(zip_derived_cl109, plain,
% 1.31/1.19 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 1.31/1.19 inference('demod', [status(thm)],
% 1.31/1.19 [zip_derived_cl98, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.19 zip_derived_cl108])).
% 1.31/1.19 thf(zip_derived_cl110, plain,
% 1.31/1.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.31/1.19 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 1.31/1.19 inference('demod', [status(thm)],
% 1.31/1.19 [zip_derived_cl97, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.19 zip_derived_cl108, zip_derived_cl109])).
% 1.31/1.19 thf(zip_derived_cl112, plain,
% 1.31/1.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.31/1.19 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 1.31/1.19 inference('demod', [status(thm)],
% 1.31/1.19 [zip_derived_cl94, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.19 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110])).
% 1.31/1.19 thf(zip_derived_cl114, plain,
% 1.31/1.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.31/1.19 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 1.31/1.19 inference('demod', [status(thm)],
% 1.31/1.19 [zip_derived_cl91, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.19 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.19 zip_derived_cl112])).
% 1.31/1.19 thf(zip_derived_cl121, plain,
% 1.31/1.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 1.31/1.19 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 1.31/1.19 inference('demod', [status(thm)],
% 1.31/1.19 [zip_derived_cl88, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.19 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.19 zip_derived_cl112, zip_derived_cl114])).
% 1.31/1.19 thf(clause17, conjecture,
% 1.31/1.19 (~( ( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) |
% 1.31/1.19 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.31/1.19 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 1.31/1.19 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.31/1.19 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.31/1.19 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.31/1.19 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 1.31/1.19 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) ))).
% 1.31/1.19 thf(zf_stmt_12, negated_conjecture,
% 1.31/1.19 (( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) |
% 1.31/1.19 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.31/1.19 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.31/1.19 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.31/1.19 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.31/1.19 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 1.31/1.19 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) )),
% 1.31/1.19 inference('cnf.neg', [status(esa)], [clause17])).
% 1.31/1.19 thf(zip_derived_cl85, plain,
% 1.31/1.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 1.31/1.19 ( (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)
% 1.31/1.19 | ~ (ssNder1_0)
% 1.31/1.19 | ~ (ssNder1_1r1 @ X0)
% 1.31/1.19 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 1.31/1.19 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 1.31/1.19 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 1.31/1.19 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 1.31/1.19 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 1.31/1.19 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6))),
% 1.31/1.19 inference('cnf', [status(esa)], [zf_stmt_12])).
% 1.31/1.19 thf(zip_derived_cl101, plain, ( (ssNder1_0)),
% 1.31/1.19 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.31/1.19 thf(zip_derived_cl107, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 1.31/1.19 inference('demod', [status(thm)], [zip_derived_cl100, zip_derived_cl101])).
% 1.31/1.19 thf(zip_derived_cl108, plain,
% 1.31/1.19 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 1.31/1.19 inference('demod', [status(thm)],
% 1.31/1.19 [zip_derived_cl99, zip_derived_cl101, zip_derived_cl107])).
% 1.31/1.19 thf(zip_derived_cl109, plain,
% 1.31/1.19 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 1.31/1.19 inference('demod', [status(thm)],
% 1.31/1.19 [zip_derived_cl98, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.19 zip_derived_cl108])).
% 1.31/1.19 thf(zip_derived_cl110, plain,
% 1.31/1.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.31/1.19 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 1.31/1.19 inference('demod', [status(thm)],
% 1.31/1.19 [zip_derived_cl97, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.19 zip_derived_cl108, zip_derived_cl109])).
% 1.31/1.19 thf(zip_derived_cl112, plain,
% 1.31/1.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.31/1.19 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 1.31/1.19 inference('demod', [status(thm)],
% 1.31/1.19 [zip_derived_cl94, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.19 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110])).
% 1.31/1.19 thf(zip_derived_cl114, plain,
% 1.31/1.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.31/1.19 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 1.31/1.19 inference('demod', [status(thm)],
% 1.31/1.19 [zip_derived_cl91, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.19 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.19 zip_derived_cl112])).
% 1.31/1.19 thf(zip_derived_cl121, plain,
% 1.31/1.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 1.31/1.19 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 1.31/1.19 inference('demod', [status(thm)],
% 1.31/1.19 [zip_derived_cl88, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.19 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.19 zip_derived_cl112, zip_derived_cl114])).
% 1.31/1.19 thf(zip_derived_cl122, plain,
% 1.31/1.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 1.31/1.19 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 1.31/1.19 inference('demod', [status(thm)],
% 1.31/1.19 [zip_derived_cl85, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.19 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.19 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121])).
% 1.31/1.19 thf(clause18, conjecture,
% 1.31/1.19 (~( ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) |
% 1.31/1.19 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.31/1.19 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 1.31/1.19 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.31/1.19 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.31/1.19 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.31/1.19 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 1.31/1.19 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 1.31/1.19 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) ))).
% 1.31/1.19 thf(zf_stmt_13, negated_conjecture,
% 1.31/1.19 (( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) |
% 1.31/1.19 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.31/1.19 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.31/1.19 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.31/1.19 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.31/1.19 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 1.31/1.19 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 1.31/1.19 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) )),
% 1.31/1.19 inference('cnf.neg', [status(esa)], [clause18])).
% 1.31/1.19 thf(zip_derived_cl84, plain,
% 1.31/1.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.19 X7 : $i, X8 : $i]:
% 1.31/1.19 ( (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.31/1.19 X7 @ X8)
% 1.31/1.19 | ~ (ssNder1_0)
% 1.31/1.19 | ~ (ssNder1_1r1 @ X0)
% 1.31/1.19 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 1.31/1.19 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 1.31/1.19 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 1.31/1.19 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 1.31/1.19 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 1.31/1.19 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 1.31/1.19 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.31/1.19 X7))),
% 1.31/1.19 inference('cnf', [status(esa)], [zf_stmt_13])).
% 1.31/1.19 thf(zip_derived_cl101, plain, ( (ssNder1_0)),
% 1.31/1.19 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.31/1.19 thf(zip_derived_cl107, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 1.31/1.19 inference('demod', [status(thm)], [zip_derived_cl100, zip_derived_cl101])).
% 1.31/1.19 thf(zip_derived_cl108, plain,
% 1.31/1.19 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 1.31/1.19 inference('demod', [status(thm)],
% 1.31/1.19 [zip_derived_cl99, zip_derived_cl101, zip_derived_cl107])).
% 1.31/1.19 thf(zip_derived_cl109, plain,
% 1.31/1.19 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 1.31/1.19 inference('demod', [status(thm)],
% 1.31/1.19 [zip_derived_cl98, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.19 zip_derived_cl108])).
% 1.31/1.19 thf(zip_derived_cl110, plain,
% 1.31/1.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.31/1.19 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 1.31/1.19 inference('demod', [status(thm)],
% 1.31/1.19 [zip_derived_cl97, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.19 zip_derived_cl108, zip_derived_cl109])).
% 1.31/1.19 thf(zip_derived_cl112, plain,
% 1.31/1.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.31/1.19 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 1.31/1.19 inference('demod', [status(thm)],
% 1.31/1.19 [zip_derived_cl94, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.19 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110])).
% 1.31/1.19 thf(zip_derived_cl114, plain,
% 1.31/1.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.31/1.19 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 1.31/1.19 inference('demod', [status(thm)],
% 1.31/1.19 [zip_derived_cl91, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.19 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.19 zip_derived_cl112])).
% 1.31/1.19 thf(zip_derived_cl121, plain,
% 1.31/1.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 1.31/1.19 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 1.31/1.19 inference('demod', [status(thm)],
% 1.31/1.19 [zip_derived_cl88, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.19 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.19 zip_derived_cl112, zip_derived_cl114])).
% 1.31/1.19 thf(zip_derived_cl122, plain,
% 1.31/1.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 1.31/1.19 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 1.31/1.19 inference('demod', [status(thm)],
% 1.31/1.19 [zip_derived_cl85, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.19 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.19 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121])).
% 1.31/1.19 thf(zip_derived_cl123, plain,
% 1.31/1.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.19 X7 : $i, X8 : $i]:
% 1.31/1.19 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.31/1.19 X7 @ X8)),
% 1.31/1.19 inference('demod', [status(thm)],
% 1.31/1.19 [zip_derived_cl84, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.19 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.19 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.19 zip_derived_cl122])).
% 1.31/1.19 thf(clause19, conjecture,
% 1.31/1.19 (~( ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.19 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) |
% 1.31/1.19 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.31/1.19 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 1.31/1.19 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.31/1.19 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.31/1.19 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.31/1.19 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 1.31/1.19 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 1.31/1.19 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 1.31/1.19 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) ))).
% 1.31/1.19 thf(zf_stmt_14, negated_conjecture,
% 1.31/1.19 (( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.19 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) |
% 1.31/1.19 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.31/1.19 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.31/1.19 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.31/1.19 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.31/1.19 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 1.31/1.19 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 1.31/1.19 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 1.31/1.19 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) )),
% 1.31/1.19 inference('cnf.neg', [status(esa)], [clause19])).
% 1.31/1.19 thf(zip_derived_cl83, plain,
% 1.31/1.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.19 X7 : $i, X8 : $i, X9 : $i]:
% 1.31/1.19 ( (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.31/1.19 X6 @ X7 @ X8 @ X9)
% 1.31/1.19 | ~ (ssNder1_0)
% 1.31/1.19 | ~ (ssNder1_1r1 @ X0)
% 1.31/1.19 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 1.31/1.19 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 1.31/1.19 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 1.31/1.19 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 1.31/1.19 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 1.31/1.19 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 1.31/1.19 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.31/1.19 X7)
% 1.31/1.19 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.31/1.19 X6 @ X7 @ X8))),
% 1.31/1.19 inference('cnf', [status(esa)], [zf_stmt_14])).
% 1.31/1.19 thf(zip_derived_cl101, plain, ( (ssNder1_0)),
% 1.31/1.19 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.31/1.19 thf(zip_derived_cl107, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 1.31/1.19 inference('demod', [status(thm)], [zip_derived_cl100, zip_derived_cl101])).
% 1.31/1.19 thf(zip_derived_cl108, plain,
% 1.31/1.19 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 1.31/1.19 inference('demod', [status(thm)],
% 1.31/1.19 [zip_derived_cl99, zip_derived_cl101, zip_derived_cl107])).
% 1.31/1.19 thf(zip_derived_cl109, plain,
% 1.31/1.19 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 1.31/1.19 inference('demod', [status(thm)],
% 1.31/1.19 [zip_derived_cl98, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.19 zip_derived_cl108])).
% 1.31/1.19 thf(zip_derived_cl110, plain,
% 1.31/1.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.31/1.19 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 1.31/1.19 inference('demod', [status(thm)],
% 1.31/1.19 [zip_derived_cl97, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.19 zip_derived_cl108, zip_derived_cl109])).
% 1.31/1.19 thf(zip_derived_cl112, plain,
% 1.31/1.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.31/1.19 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 1.31/1.19 inference('demod', [status(thm)],
% 1.31/1.19 [zip_derived_cl94, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.19 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110])).
% 1.31/1.19 thf(zip_derived_cl114, plain,
% 1.31/1.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.31/1.19 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 1.31/1.19 inference('demod', [status(thm)],
% 1.31/1.19 [zip_derived_cl91, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.19 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.19 zip_derived_cl112])).
% 1.31/1.19 thf(zip_derived_cl121, plain,
% 1.31/1.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 1.31/1.19 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 1.31/1.19 inference('demod', [status(thm)],
% 1.31/1.19 [zip_derived_cl88, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.19 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.19 zip_derived_cl112, zip_derived_cl114])).
% 1.31/1.19 thf(zip_derived_cl122, plain,
% 1.31/1.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 1.31/1.19 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 1.31/1.19 inference('demod', [status(thm)],
% 1.31/1.19 [zip_derived_cl85, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.19 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.19 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121])).
% 1.31/1.19 thf(zip_derived_cl123, plain,
% 1.31/1.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.19 X7 : $i, X8 : $i]:
% 1.31/1.19 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.31/1.19 X7 @ X8)),
% 1.31/1.19 inference('demod', [status(thm)],
% 1.31/1.19 [zip_derived_cl84, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.19 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.19 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.19 zip_derived_cl122])).
% 1.31/1.19 thf(zip_derived_cl129, plain,
% 1.31/1.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.19 X7 : $i, X8 : $i, X9 : $i]:
% 1.31/1.19 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.31/1.19 X7 @ X8 @ X9)),
% 1.31/1.19 inference('demod', [status(thm)],
% 1.31/1.19 [zip_derived_cl83, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.19 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.19 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.19 zip_derived_cl122, zip_derived_cl123])).
% 1.31/1.19 thf(clause21, conjecture,
% 1.31/1.19 (~( ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.19 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) |
% 1.31/1.19 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.31/1.19 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 1.31/1.19 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.31/1.19 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.31/1.19 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.31/1.19 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 1.31/1.19 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 1.31/1.19 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 1.31/1.19 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 1.31/1.19 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.19 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) ))).
% 1.31/1.19 thf(zf_stmt_15, negated_conjecture,
% 1.31/1.19 (( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.19 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) |
% 1.31/1.19 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.31/1.19 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.31/1.19 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.31/1.19 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.31/1.19 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 1.31/1.19 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 1.31/1.19 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 1.31/1.19 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 1.31/1.19 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.19 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) )),
% 1.31/1.19 inference('cnf.neg', [status(esa)], [clause21])).
% 1.31/1.19 thf(zip_derived_cl81, plain,
% 1.31/1.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.19 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 1.31/1.19 ( (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.31/1.19 X6 @ X7 @ X8 @ X9 @ X10)
% 1.31/1.19 | ~ (ssNder1_0)
% 1.31/1.19 | ~ (ssNder1_1r1 @ X0)
% 1.31/1.19 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 1.31/1.19 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 1.31/1.19 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 1.31/1.19 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 1.31/1.19 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 1.31/1.19 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 1.31/1.19 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.31/1.19 X7)
% 1.31/1.19 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.31/1.19 X6 @ X7 @ X8)
% 1.31/1.19 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.31/1.19 X6 @ X7 @ X8 @ X9))),
% 1.31/1.19 inference('cnf', [status(esa)], [zf_stmt_15])).
% 1.31/1.19 thf(zip_derived_cl101, plain, ( (ssNder1_0)),
% 1.31/1.19 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.31/1.19 thf(zip_derived_cl107, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 1.31/1.19 inference('demod', [status(thm)], [zip_derived_cl100, zip_derived_cl101])).
% 1.31/1.19 thf(zip_derived_cl108, plain,
% 1.31/1.19 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 1.31/1.19 inference('demod', [status(thm)],
% 1.31/1.19 [zip_derived_cl99, zip_derived_cl101, zip_derived_cl107])).
% 1.31/1.19 thf(zip_derived_cl109, plain,
% 1.31/1.19 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 1.31/1.19 inference('demod', [status(thm)],
% 1.31/1.19 [zip_derived_cl98, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.19 zip_derived_cl108])).
% 1.31/1.19 thf(zip_derived_cl110, plain,
% 1.31/1.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.31/1.19 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 1.31/1.19 inference('demod', [status(thm)],
% 1.31/1.19 [zip_derived_cl97, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.19 zip_derived_cl108, zip_derived_cl109])).
% 1.31/1.19 thf(zip_derived_cl112, plain,
% 1.31/1.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.31/1.19 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 1.31/1.19 inference('demod', [status(thm)],
% 1.31/1.19 [zip_derived_cl94, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.19 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110])).
% 1.31/1.19 thf(zip_derived_cl114, plain,
% 1.31/1.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.31/1.19 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 1.31/1.19 inference('demod', [status(thm)],
% 1.31/1.19 [zip_derived_cl91, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.19 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.19 zip_derived_cl112])).
% 1.31/1.19 thf(zip_derived_cl121, plain,
% 1.31/1.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 1.31/1.19 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 1.31/1.19 inference('demod', [status(thm)],
% 1.31/1.19 [zip_derived_cl88, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.19 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.19 zip_derived_cl112, zip_derived_cl114])).
% 1.31/1.19 thf(zip_derived_cl122, plain,
% 1.31/1.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 1.31/1.19 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 1.31/1.19 inference('demod', [status(thm)],
% 1.31/1.19 [zip_derived_cl85, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.19 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.19 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121])).
% 1.31/1.19 thf(zip_derived_cl123, plain,
% 1.31/1.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.19 X7 : $i, X8 : $i]:
% 1.31/1.19 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.31/1.19 X7 @ X8)),
% 1.31/1.19 inference('demod', [status(thm)],
% 1.31/1.19 [zip_derived_cl84, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.19 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.19 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.19 zip_derived_cl122])).
% 1.31/1.19 thf(zip_derived_cl129, plain,
% 1.31/1.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.19 X7 : $i, X8 : $i, X9 : $i]:
% 1.31/1.19 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.31/1.19 X7 @ X8 @ X9)),
% 1.31/1.19 inference('demod', [status(thm)],
% 1.31/1.19 [zip_derived_cl83, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.19 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.19 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.19 zip_derived_cl122, zip_derived_cl123])).
% 1.31/1.19 thf(zip_derived_cl136, plain,
% 1.31/1.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.19 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 1.31/1.19 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.31/1.19 X6 @ X7 @ X8 @ X9 @ X10)),
% 1.31/1.19 inference('demod', [status(thm)],
% 1.31/1.19 [zip_derived_cl81, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.19 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.19 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.19 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129])).
% 1.31/1.19 thf(clause22, conjecture,
% 1.31/1.19 (~( ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.19 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) |
% 1.31/1.19 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.31/1.19 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 1.31/1.19 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.31/1.19 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.31/1.19 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.31/1.19 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 1.31/1.19 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 1.31/1.19 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 1.31/1.19 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 1.31/1.19 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.19 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 1.31/1.19 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.19 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) ))).
% 1.31/1.19 thf(zf_stmt_16, negated_conjecture,
% 1.31/1.19 (( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.19 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) |
% 1.31/1.19 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.31/1.19 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.31/1.19 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.31/1.19 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.31/1.19 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 1.31/1.19 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 1.31/1.19 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 1.31/1.19 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 1.31/1.19 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.19 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 1.31/1.19 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.19 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) )),
% 1.31/1.19 inference('cnf.neg', [status(esa)], [clause22])).
% 1.31/1.19 thf(zip_derived_cl80, plain,
% 1.31/1.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.19 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 1.31/1.19 ( (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.31/1.19 X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 1.31/1.19 | ~ (ssNder1_0)
% 1.31/1.19 | ~ (ssNder1_1r1 @ X0)
% 1.31/1.19 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 1.31/1.19 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 1.31/1.19 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 1.31/1.19 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 1.31/1.19 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 1.31/1.19 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 1.31/1.19 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.31/1.19 X7)
% 1.31/1.19 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.31/1.19 X6 @ X7 @ X8)
% 1.31/1.19 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.31/1.19 X6 @ X7 @ X8 @ X9)
% 1.31/1.19 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.31/1.19 X5 @ X6 @ X7 @ X8 @ X9 @ X10))),
% 1.31/1.19 inference('cnf', [status(esa)], [zf_stmt_16])).
% 1.31/1.19 thf(zip_derived_cl101, plain, ( (ssNder1_0)),
% 1.31/1.19 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.31/1.19 thf(zip_derived_cl107, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 1.31/1.19 inference('demod', [status(thm)], [zip_derived_cl100, zip_derived_cl101])).
% 1.31/1.19 thf(zip_derived_cl108, plain,
% 1.31/1.19 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 1.31/1.19 inference('demod', [status(thm)],
% 1.31/1.19 [zip_derived_cl99, zip_derived_cl101, zip_derived_cl107])).
% 1.31/1.19 thf(zip_derived_cl109, plain,
% 1.31/1.19 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 1.31/1.19 inference('demod', [status(thm)],
% 1.31/1.19 [zip_derived_cl98, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.19 zip_derived_cl108])).
% 1.31/1.19 thf(zip_derived_cl110, plain,
% 1.31/1.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.31/1.19 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 1.31/1.19 inference('demod', [status(thm)],
% 1.31/1.19 [zip_derived_cl97, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.19 zip_derived_cl108, zip_derived_cl109])).
% 1.31/1.19 thf(zip_derived_cl112, plain,
% 1.31/1.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.31/1.19 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 1.31/1.19 inference('demod', [status(thm)],
% 1.31/1.19 [zip_derived_cl94, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.19 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110])).
% 1.31/1.19 thf(zip_derived_cl114, plain,
% 1.31/1.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.31/1.19 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 1.31/1.19 inference('demod', [status(thm)],
% 1.31/1.19 [zip_derived_cl91, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.19 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.19 zip_derived_cl112])).
% 1.31/1.19 thf(zip_derived_cl121, plain,
% 1.31/1.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 1.31/1.19 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 1.31/1.19 inference('demod', [status(thm)],
% 1.31/1.19 [zip_derived_cl88, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.19 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.19 zip_derived_cl112, zip_derived_cl114])).
% 1.31/1.19 thf(zip_derived_cl122, plain,
% 1.31/1.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 1.31/1.19 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 1.31/1.19 inference('demod', [status(thm)],
% 1.31/1.19 [zip_derived_cl85, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.19 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.19 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121])).
% 1.31/1.19 thf(zip_derived_cl123, plain,
% 1.31/1.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.19 X7 : $i, X8 : $i]:
% 1.31/1.19 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.31/1.19 X7 @ X8)),
% 1.31/1.19 inference('demod', [status(thm)],
% 1.31/1.19 [zip_derived_cl84, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.19 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.19 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.19 zip_derived_cl122])).
% 1.31/1.19 thf(zip_derived_cl129, plain,
% 1.31/1.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.19 X7 : $i, X8 : $i, X9 : $i]:
% 1.31/1.19 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.31/1.19 X7 @ X8 @ X9)),
% 1.31/1.19 inference('demod', [status(thm)],
% 1.31/1.19 [zip_derived_cl83, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.19 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.19 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.19 zip_derived_cl122, zip_derived_cl123])).
% 1.31/1.19 thf(zip_derived_cl136, plain,
% 1.31/1.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.19 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 1.31/1.19 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.31/1.19 X6 @ X7 @ X8 @ X9 @ X10)),
% 1.31/1.19 inference('demod', [status(thm)],
% 1.31/1.19 [zip_derived_cl81, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.19 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.19 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.19 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129])).
% 1.31/1.19 thf(zip_derived_cl137, plain,
% 1.31/1.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.19 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 1.31/1.19 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.31/1.19 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 1.31/1.19 inference('demod', [status(thm)],
% 1.31/1.19 [zip_derived_cl80, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.19 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.19 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.19 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.19 zip_derived_cl136])).
% 1.31/1.19 thf(clause25, conjecture,
% 1.31/1.19 (~( ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.19 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) |
% 1.31/1.19 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.31/1.19 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 1.31/1.19 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.31/1.19 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.31/1.19 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.31/1.19 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 1.31/1.19 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 1.31/1.19 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 1.31/1.19 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 1.31/1.19 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.19 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 1.31/1.19 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.19 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 1.31/1.19 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.19 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) ))).
% 1.31/1.19 thf(zf_stmt_17, negated_conjecture,
% 1.31/1.19 (( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.19 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) |
% 1.31/1.19 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.31/1.19 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.31/1.19 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.31/1.19 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.31/1.19 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 1.31/1.19 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 1.31/1.19 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 1.31/1.19 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 1.31/1.19 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.19 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 1.31/1.19 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.19 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 1.31/1.19 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.19 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) )),
% 1.31/1.19 inference('cnf.neg', [status(esa)], [clause25])).
% 1.31/1.19 thf(zip_derived_cl77, plain,
% 1.31/1.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.19 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 1.31/1.19 ( (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.31/1.19 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 1.31/1.19 | ~ (ssNder1_0)
% 1.31/1.19 | ~ (ssNder1_1r1 @ X0)
% 1.31/1.19 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 1.31/1.19 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 1.31/1.19 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 1.31/1.19 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 1.31/1.19 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 1.31/1.19 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 1.31/1.19 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.31/1.19 X7)
% 1.31/1.19 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.31/1.19 X6 @ X7 @ X8)
% 1.31/1.19 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.31/1.19 X6 @ X7 @ X8 @ X9)
% 1.31/1.19 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.31/1.19 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 1.31/1.19 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.31/1.19 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11))),
% 1.31/1.19 inference('cnf', [status(esa)], [zf_stmt_17])).
% 1.31/1.19 thf(zip_derived_cl101, plain, ( (ssNder1_0)),
% 1.31/1.19 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.31/1.19 thf(zip_derived_cl107, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 1.31/1.19 inference('demod', [status(thm)], [zip_derived_cl100, zip_derived_cl101])).
% 1.31/1.19 thf(zip_derived_cl108, plain,
% 1.31/1.19 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 1.31/1.19 inference('demod', [status(thm)],
% 1.31/1.19 [zip_derived_cl99, zip_derived_cl101, zip_derived_cl107])).
% 1.31/1.19 thf(zip_derived_cl109, plain,
% 1.31/1.19 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 1.31/1.19 inference('demod', [status(thm)],
% 1.31/1.19 [zip_derived_cl98, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.19 zip_derived_cl108])).
% 1.31/1.19 thf(zip_derived_cl110, plain,
% 1.31/1.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.31/1.19 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 1.31/1.19 inference('demod', [status(thm)],
% 1.31/1.19 [zip_derived_cl97, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.19 zip_derived_cl108, zip_derived_cl109])).
% 1.31/1.19 thf(zip_derived_cl112, plain,
% 1.31/1.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.31/1.19 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 1.31/1.19 inference('demod', [status(thm)],
% 1.31/1.19 [zip_derived_cl94, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.19 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110])).
% 1.31/1.19 thf(zip_derived_cl114, plain,
% 1.31/1.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.31/1.19 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 1.31/1.19 inference('demod', [status(thm)],
% 1.31/1.19 [zip_derived_cl91, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.19 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.19 zip_derived_cl112])).
% 1.31/1.19 thf(zip_derived_cl121, plain,
% 1.31/1.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 1.31/1.19 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 1.31/1.19 inference('demod', [status(thm)],
% 1.31/1.19 [zip_derived_cl88, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.19 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.19 zip_derived_cl112, zip_derived_cl114])).
% 1.31/1.19 thf(zip_derived_cl122, plain,
% 1.31/1.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 1.31/1.19 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 1.31/1.19 inference('demod', [status(thm)],
% 1.31/1.19 [zip_derived_cl85, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.19 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.19 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121])).
% 1.31/1.19 thf(zip_derived_cl123, plain,
% 1.31/1.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.19 X7 : $i, X8 : $i]:
% 1.31/1.19 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.31/1.19 X7 @ X8)),
% 1.31/1.19 inference('demod', [status(thm)],
% 1.31/1.19 [zip_derived_cl84, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.19 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.19 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.19 zip_derived_cl122])).
% 1.31/1.19 thf(zip_derived_cl129, plain,
% 1.31/1.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.19 X7 : $i, X8 : $i, X9 : $i]:
% 1.31/1.19 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.31/1.19 X7 @ X8 @ X9)),
% 1.31/1.19 inference('demod', [status(thm)],
% 1.31/1.19 [zip_derived_cl83, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.19 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.19 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.19 zip_derived_cl122, zip_derived_cl123])).
% 1.31/1.19 thf(zip_derived_cl136, plain,
% 1.31/1.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.19 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 1.31/1.19 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.31/1.19 X6 @ X7 @ X8 @ X9 @ X10)),
% 1.31/1.19 inference('demod', [status(thm)],
% 1.31/1.19 [zip_derived_cl81, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.19 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.19 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.19 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129])).
% 1.31/1.19 thf(zip_derived_cl137, plain,
% 1.31/1.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.19 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 1.31/1.19 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.31/1.19 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 1.31/1.19 inference('demod', [status(thm)],
% 1.31/1.19 [zip_derived_cl80, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.19 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.19 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.19 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.19 zip_derived_cl136])).
% 1.31/1.19 thf(zip_derived_cl139, plain,
% 1.31/1.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.19 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 1.31/1.19 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.31/1.19 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 1.31/1.19 inference('demod', [status(thm)],
% 1.31/1.19 [zip_derived_cl77, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.19 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.19 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.19 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.19 zip_derived_cl136, zip_derived_cl137])).
% 1.31/1.19 thf(clause28, conjecture,
% 1.31/1.19 (~( ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.19 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) |
% 1.31/1.19 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.31/1.19 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 1.31/1.19 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.31/1.19 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.31/1.19 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.31/1.19 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 1.31/1.19 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 1.31/1.19 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 1.31/1.19 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 1.31/1.19 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.19 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 1.31/1.19 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.19 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 1.31/1.19 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.19 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 1.31/1.19 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.19 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) ))).
% 1.31/1.19 thf(zf_stmt_18, negated_conjecture,
% 1.31/1.19 (( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.19 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) |
% 1.31/1.19 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.31/1.19 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.31/1.19 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.31/1.19 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.31/1.19 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 1.31/1.19 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 1.31/1.19 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 1.31/1.19 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 1.31/1.19 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.19 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 1.31/1.19 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.19 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 1.31/1.19 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.19 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 1.31/1.19 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.19 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) )),
% 1.31/1.19 inference('cnf.neg', [status(esa)], [clause28])).
% 1.31/1.19 thf(zip_derived_cl74, plain,
% 1.31/1.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.19 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 1.31/1.19 ( (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.31/1.19 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 1.31/1.19 | ~ (ssNder1_0)
% 1.31/1.19 | ~ (ssNder1_1r1 @ X0)
% 1.31/1.19 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 1.31/1.19 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 1.31/1.19 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 1.31/1.19 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 1.31/1.19 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 1.31/1.19 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 1.31/1.19 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.31/1.19 X7)
% 1.31/1.19 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.31/1.19 X6 @ X7 @ X8)
% 1.31/1.19 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.31/1.19 X6 @ X7 @ X8 @ X9)
% 1.31/1.19 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.31/1.19 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 1.31/1.19 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.31/1.19 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 1.31/1.19 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.31/1.19 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12))),
% 1.31/1.19 inference('cnf', [status(esa)], [zf_stmt_18])).
% 1.31/1.19 thf(zip_derived_cl101, plain, ( (ssNder1_0)),
% 1.31/1.19 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.31/1.19 thf(zip_derived_cl107, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 1.31/1.19 inference('demod', [status(thm)], [zip_derived_cl100, zip_derived_cl101])).
% 1.31/1.19 thf(zip_derived_cl108, plain,
% 1.31/1.19 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 1.31/1.19 inference('demod', [status(thm)],
% 1.31/1.19 [zip_derived_cl99, zip_derived_cl101, zip_derived_cl107])).
% 1.31/1.19 thf(zip_derived_cl109, plain,
% 1.31/1.19 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 1.31/1.19 inference('demod', [status(thm)],
% 1.31/1.19 [zip_derived_cl98, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.19 zip_derived_cl108])).
% 1.31/1.19 thf(zip_derived_cl110, plain,
% 1.31/1.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.31/1.19 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 1.31/1.19 inference('demod', [status(thm)],
% 1.31/1.19 [zip_derived_cl97, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.19 zip_derived_cl108, zip_derived_cl109])).
% 1.31/1.19 thf(zip_derived_cl112, plain,
% 1.31/1.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.31/1.19 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 1.31/1.19 inference('demod', [status(thm)],
% 1.31/1.19 [zip_derived_cl94, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.19 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110])).
% 1.31/1.19 thf(zip_derived_cl114, plain,
% 1.31/1.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.31/1.19 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 1.31/1.19 inference('demod', [status(thm)],
% 1.31/1.19 [zip_derived_cl91, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.19 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.19 zip_derived_cl112])).
% 1.31/1.19 thf(zip_derived_cl121, plain,
% 1.31/1.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 1.31/1.19 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 1.31/1.19 inference('demod', [status(thm)],
% 1.31/1.19 [zip_derived_cl88, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.19 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.19 zip_derived_cl112, zip_derived_cl114])).
% 1.31/1.19 thf(zip_derived_cl122, plain,
% 1.31/1.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 1.31/1.19 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 1.31/1.19 inference('demod', [status(thm)],
% 1.31/1.19 [zip_derived_cl85, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.19 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.19 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121])).
% 1.31/1.19 thf(zip_derived_cl123, plain,
% 1.31/1.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.19 X7 : $i, X8 : $i]:
% 1.31/1.19 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.31/1.19 X7 @ X8)),
% 1.31/1.19 inference('demod', [status(thm)],
% 1.31/1.19 [zip_derived_cl84, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.19 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.19 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.19 zip_derived_cl122])).
% 1.31/1.19 thf(zip_derived_cl129, plain,
% 1.31/1.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.19 X7 : $i, X8 : $i, X9 : $i]:
% 1.31/1.19 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.31/1.19 X7 @ X8 @ X9)),
% 1.31/1.19 inference('demod', [status(thm)],
% 1.31/1.19 [zip_derived_cl83, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.19 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.19 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.19 zip_derived_cl122, zip_derived_cl123])).
% 1.31/1.19 thf(zip_derived_cl136, plain,
% 1.31/1.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.19 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 1.31/1.19 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.31/1.19 X6 @ X7 @ X8 @ X9 @ X10)),
% 1.31/1.19 inference('demod', [status(thm)],
% 1.31/1.19 [zip_derived_cl81, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.19 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.19 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.19 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129])).
% 1.31/1.19 thf(zip_derived_cl137, plain,
% 1.31/1.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.19 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 1.31/1.19 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.31/1.19 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 1.31/1.19 inference('demod', [status(thm)],
% 1.31/1.19 [zip_derived_cl80, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.19 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.19 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.19 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.19 zip_derived_cl136])).
% 1.31/1.19 thf(zip_derived_cl139, plain,
% 1.31/1.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.19 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 1.31/1.19 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.31/1.19 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 1.31/1.19 inference('demod', [status(thm)],
% 1.31/1.19 [zip_derived_cl77, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.19 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.19 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.19 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.19 zip_derived_cl136, zip_derived_cl137])).
% 1.31/1.19 thf(zip_derived_cl141, plain,
% 1.31/1.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.19 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 1.31/1.19 (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.31/1.19 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)),
% 1.31/1.19 inference('demod', [status(thm)],
% 1.31/1.19 [zip_derived_cl74, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.19 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.19 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.19 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.19 zip_derived_cl136, zip_derived_cl137, zip_derived_cl139])).
% 1.31/1.19 thf(clause32, conjecture,
% 1.31/1.19 (~( ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.19 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) |
% 1.31/1.19 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.31/1.19 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 1.31/1.19 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.31/1.19 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.31/1.19 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.31/1.19 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 1.31/1.19 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 1.31/1.19 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 1.31/1.19 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 1.31/1.19 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.19 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 1.31/1.19 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.19 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 1.31/1.19 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.19 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 1.31/1.19 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.19 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 1.31/1.19 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.19 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) ))).
% 1.31/1.19 thf(zf_stmt_19, negated_conjecture,
% 1.31/1.19 (( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.19 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) |
% 1.31/1.19 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.31/1.19 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.31/1.19 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.31/1.19 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.31/1.19 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 1.31/1.19 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 1.31/1.19 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 1.31/1.19 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 1.31/1.19 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.19 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 1.31/1.19 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.19 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 1.31/1.19 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.19 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 1.31/1.19 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.19 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 1.31/1.19 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.19 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) )),
% 1.31/1.19 inference('cnf.neg', [status(esa)], [clause32])).
% 1.31/1.19 thf(zip_derived_cl70, plain,
% 1.31/1.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.19 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.31/1.19 X14 : $i]:
% 1.31/1.19 ( (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 1.31/1.19 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 1.31/1.19 | ~ (ssNder1_0)
% 1.31/1.19 | ~ (ssNder1_1r1 @ X0)
% 1.31/1.19 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 1.31/1.19 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 1.31/1.19 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 1.31/1.19 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 1.31/1.19 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 1.31/1.19 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 1.31/1.19 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.31/1.19 X7)
% 1.31/1.19 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.31/1.19 X6 @ X7 @ X8)
% 1.31/1.19 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.31/1.19 X6 @ X7 @ X8 @ X9)
% 1.31/1.19 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.31/1.19 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 1.31/1.19 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.31/1.19 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 1.31/1.19 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.31/1.19 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 1.31/1.19 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 1.31/1.19 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13))),
% 1.31/1.19 inference('cnf', [status(esa)], [zf_stmt_19])).
% 1.31/1.19 thf(zip_derived_cl101, plain, ( (ssNder1_0)),
% 1.31/1.19 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.31/1.19 thf(zip_derived_cl107, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 1.31/1.19 inference('demod', [status(thm)], [zip_derived_cl100, zip_derived_cl101])).
% 1.31/1.19 thf(zip_derived_cl108, plain,
% 1.31/1.19 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 1.31/1.19 inference('demod', [status(thm)],
% 1.31/1.19 [zip_derived_cl99, zip_derived_cl101, zip_derived_cl107])).
% 1.31/1.19 thf(zip_derived_cl109, plain,
% 1.31/1.19 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 1.31/1.19 inference('demod', [status(thm)],
% 1.31/1.19 [zip_derived_cl98, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.19 zip_derived_cl108])).
% 1.31/1.19 thf(zip_derived_cl110, plain,
% 1.31/1.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.31/1.19 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 1.31/1.19 inference('demod', [status(thm)],
% 1.31/1.19 [zip_derived_cl97, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.19 zip_derived_cl108, zip_derived_cl109])).
% 1.31/1.19 thf(zip_derived_cl112, plain,
% 1.31/1.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.31/1.19 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 1.31/1.19 inference('demod', [status(thm)],
% 1.31/1.19 [zip_derived_cl94, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.19 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110])).
% 1.31/1.19 thf(zip_derived_cl114, plain,
% 1.31/1.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.31/1.19 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 1.31/1.19 inference('demod', [status(thm)],
% 1.31/1.19 [zip_derived_cl91, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.19 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.19 zip_derived_cl112])).
% 1.31/1.19 thf(zip_derived_cl121, plain,
% 1.31/1.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 1.31/1.19 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 1.31/1.19 inference('demod', [status(thm)],
% 1.31/1.19 [zip_derived_cl88, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.19 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.19 zip_derived_cl112, zip_derived_cl114])).
% 1.31/1.19 thf(zip_derived_cl122, plain,
% 1.31/1.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 1.31/1.19 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 1.31/1.19 inference('demod', [status(thm)],
% 1.31/1.19 [zip_derived_cl85, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.19 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.19 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121])).
% 1.31/1.19 thf(zip_derived_cl123, plain,
% 1.31/1.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.19 X7 : $i, X8 : $i]:
% 1.31/1.19 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.31/1.19 X7 @ X8)),
% 1.31/1.19 inference('demod', [status(thm)],
% 1.31/1.19 [zip_derived_cl84, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.19 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.19 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.19 zip_derived_cl122])).
% 1.31/1.19 thf(zip_derived_cl129, plain,
% 1.31/1.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.19 X7 : $i, X8 : $i, X9 : $i]:
% 1.31/1.19 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.31/1.19 X7 @ X8 @ X9)),
% 1.31/1.19 inference('demod', [status(thm)],
% 1.31/1.19 [zip_derived_cl83, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.19 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.19 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.19 zip_derived_cl122, zip_derived_cl123])).
% 1.31/1.19 thf(zip_derived_cl136, plain,
% 1.31/1.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.19 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 1.31/1.19 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.31/1.19 X6 @ X7 @ X8 @ X9 @ X10)),
% 1.31/1.19 inference('demod', [status(thm)],
% 1.31/1.19 [zip_derived_cl81, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.19 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.19 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.19 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129])).
% 1.31/1.19 thf(zip_derived_cl137, plain,
% 1.31/1.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.19 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 1.31/1.19 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.31/1.19 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 1.31/1.19 inference('demod', [status(thm)],
% 1.31/1.19 [zip_derived_cl80, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.19 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.19 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.19 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.19 zip_derived_cl136])).
% 1.31/1.19 thf(zip_derived_cl139, plain,
% 1.31/1.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.19 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 1.31/1.19 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.31/1.19 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 1.31/1.19 inference('demod', [status(thm)],
% 1.31/1.19 [zip_derived_cl77, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.19 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.19 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.19 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.19 zip_derived_cl136, zip_derived_cl137])).
% 1.31/1.19 thf(zip_derived_cl141, plain,
% 1.31/1.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.19 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 1.31/1.19 (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.31/1.19 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)),
% 1.31/1.19 inference('demod', [status(thm)],
% 1.31/1.19 [zip_derived_cl74, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.19 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.19 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.19 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.19 zip_derived_cl136, zip_derived_cl137, zip_derived_cl139])).
% 1.31/1.19 thf(zip_derived_cl150, plain,
% 1.31/1.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.19 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.31/1.19 X14 : $i]:
% 1.31/1.19 (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.31/1.19 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)),
% 1.31/1.19 inference('demod', [status(thm)],
% 1.31/1.19 [zip_derived_cl70, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.19 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.19 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.19 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.19 zip_derived_cl136, zip_derived_cl137, zip_derived_cl139,
% 1.31/1.19 zip_derived_cl141])).
% 1.31/1.19 thf(clause35, conjecture,
% 1.31/1.19 (~( ( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.19 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 1.31/1.19 X10 ) |
% 1.31/1.19 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.31/1.19 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 1.31/1.19 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.31/1.19 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.31/1.19 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.31/1.19 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 1.31/1.19 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 1.31/1.19 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 1.31/1.19 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 1.31/1.19 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.19 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 1.31/1.19 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.19 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 1.31/1.19 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.19 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 1.31/1.19 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.19 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 1.31/1.19 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.19 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 1.31/1.19 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.19 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) ))).
% 1.31/1.19 thf(zf_stmt_20, negated_conjecture,
% 1.31/1.19 (( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.19 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 ) |
% 1.31/1.19 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.31/1.19 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.31/1.19 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.31/1.19 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.31/1.19 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 1.31/1.19 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 1.31/1.19 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 1.31/1.19 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 1.31/1.19 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.19 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 1.31/1.19 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.19 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 1.31/1.19 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.19 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 1.31/1.19 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.19 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 1.31/1.19 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.19 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 1.31/1.19 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.19 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) )),
% 1.31/1.19 inference('cnf.neg', [status(esa)], [clause35])).
% 1.31/1.19 thf(zip_derived_cl67, plain,
% 1.31/1.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.19 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.31/1.19 X14 : $i, X15 : $i]:
% 1.31/1.19 ( (ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 1.31/1.19 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15)
% 1.31/1.19 | ~ (ssNder1_0)
% 1.31/1.19 | ~ (ssNder1_1r1 @ X0)
% 1.31/1.19 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 1.31/1.19 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 1.31/1.19 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 1.31/1.19 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 1.31/1.19 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 1.31/1.19 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 1.31/1.19 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.31/1.19 X7)
% 1.31/1.19 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.31/1.19 X6 @ X7 @ X8)
% 1.31/1.19 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.31/1.19 X6 @ X7 @ X8 @ X9)
% 1.31/1.19 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.31/1.19 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 1.31/1.19 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.31/1.19 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 1.31/1.19 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.31/1.19 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 1.31/1.19 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 1.31/1.19 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 1.31/1.19 | ~ (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 1.31/1.19 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14))),
% 1.31/1.19 inference('cnf', [status(esa)], [zf_stmt_20])).
% 1.31/1.19 thf(zip_derived_cl101, plain, ( (ssNder1_0)),
% 1.31/1.19 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.31/1.19 thf(zip_derived_cl107, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 1.31/1.19 inference('demod', [status(thm)], [zip_derived_cl100, zip_derived_cl101])).
% 1.31/1.19 thf(zip_derived_cl108, plain,
% 1.31/1.19 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 1.31/1.19 inference('demod', [status(thm)],
% 1.31/1.19 [zip_derived_cl99, zip_derived_cl101, zip_derived_cl107])).
% 1.31/1.19 thf(zip_derived_cl109, plain,
% 1.31/1.19 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 1.31/1.19 inference('demod', [status(thm)],
% 1.31/1.19 [zip_derived_cl98, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.19 zip_derived_cl108])).
% 1.31/1.19 thf(zip_derived_cl110, plain,
% 1.31/1.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.31/1.19 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 1.31/1.19 inference('demod', [status(thm)],
% 1.31/1.19 [zip_derived_cl97, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.19 zip_derived_cl108, zip_derived_cl109])).
% 1.31/1.19 thf(zip_derived_cl112, plain,
% 1.31/1.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.31/1.19 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 1.31/1.19 inference('demod', [status(thm)],
% 1.31/1.19 [zip_derived_cl94, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.19 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110])).
% 1.31/1.19 thf(zip_derived_cl114, plain,
% 1.31/1.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.31/1.19 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 1.31/1.19 inference('demod', [status(thm)],
% 1.31/1.19 [zip_derived_cl91, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.19 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.19 zip_derived_cl112])).
% 1.31/1.19 thf(zip_derived_cl121, plain,
% 1.31/1.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 1.31/1.19 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 1.31/1.19 inference('demod', [status(thm)],
% 1.31/1.19 [zip_derived_cl88, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.19 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.19 zip_derived_cl112, zip_derived_cl114])).
% 1.31/1.19 thf(zip_derived_cl122, plain,
% 1.31/1.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 1.31/1.19 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 1.31/1.19 inference('demod', [status(thm)],
% 1.31/1.19 [zip_derived_cl85, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.19 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.19 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121])).
% 1.31/1.19 thf(zip_derived_cl123, plain,
% 1.31/1.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.19 X7 : $i, X8 : $i]:
% 1.31/1.19 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.31/1.19 X7 @ X8)),
% 1.31/1.19 inference('demod', [status(thm)],
% 1.31/1.19 [zip_derived_cl84, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.19 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.19 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.19 zip_derived_cl122])).
% 1.31/1.19 thf(zip_derived_cl129, plain,
% 1.31/1.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.19 X7 : $i, X8 : $i, X9 : $i]:
% 1.31/1.19 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.31/1.19 X7 @ X8 @ X9)),
% 1.31/1.19 inference('demod', [status(thm)],
% 1.31/1.19 [zip_derived_cl83, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.19 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.19 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.19 zip_derived_cl122, zip_derived_cl123])).
% 1.31/1.19 thf(zip_derived_cl136, plain,
% 1.31/1.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.19 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 1.31/1.19 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.31/1.19 X6 @ X7 @ X8 @ X9 @ X10)),
% 1.31/1.19 inference('demod', [status(thm)],
% 1.31/1.19 [zip_derived_cl81, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.19 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.19 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.19 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129])).
% 1.31/1.19 thf(zip_derived_cl137, plain,
% 1.31/1.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.19 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 1.31/1.19 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.31/1.19 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 1.31/1.19 inference('demod', [status(thm)],
% 1.31/1.19 [zip_derived_cl80, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.19 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.19 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.19 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.19 zip_derived_cl136])).
% 1.31/1.19 thf(zip_derived_cl139, plain,
% 1.31/1.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.19 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 1.31/1.19 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.31/1.19 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 1.31/1.19 inference('demod', [status(thm)],
% 1.31/1.19 [zip_derived_cl77, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.19 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.19 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.19 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.19 zip_derived_cl136, zip_derived_cl137])).
% 1.31/1.19 thf(zip_derived_cl141, plain,
% 1.31/1.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.19 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 1.31/1.19 (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.31/1.19 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)),
% 1.31/1.19 inference('demod', [status(thm)],
% 1.31/1.19 [zip_derived_cl74, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.19 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.19 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.19 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.19 zip_derived_cl136, zip_derived_cl137, zip_derived_cl139])).
% 1.31/1.19 thf(zip_derived_cl150, plain,
% 1.31/1.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.19 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.31/1.19 X14 : $i]:
% 1.31/1.19 (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.31/1.19 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)),
% 1.31/1.19 inference('demod', [status(thm)],
% 1.31/1.19 [zip_derived_cl70, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.19 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.19 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.19 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.19 zip_derived_cl136, zip_derived_cl137, zip_derived_cl139,
% 1.31/1.19 zip_derived_cl141])).
% 1.31/1.19 thf(zip_derived_cl160, plain,
% 1.31/1.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.19 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.31/1.19 X14 : $i, X15 : $i]:
% 1.31/1.19 (ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 1.31/1.19 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15)),
% 1.31/1.19 inference('demod', [status(thm)],
% 1.31/1.19 [zip_derived_cl67, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.19 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.19 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.19 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.19 zip_derived_cl136, zip_derived_cl137, zip_derived_cl139,
% 1.31/1.19 zip_derived_cl141, zip_derived_cl150])).
% 1.31/1.19 thf(clause38, conjecture,
% 1.31/1.19 (~( ( ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.19 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 1.31/1.19 X10 @ X11 ) |
% 1.31/1.19 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.31/1.19 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 1.31/1.19 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.31/1.19 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.31/1.19 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.31/1.19 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 1.31/1.19 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 1.31/1.19 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 1.31/1.19 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 1.31/1.19 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.19 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 1.31/1.19 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.19 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 1.31/1.19 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.19 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 1.31/1.19 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.19 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 1.31/1.19 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.19 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 1.31/1.19 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.19 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 1.31/1.19 ( ~( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.19 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 1.31/1.19 X9 @ X10 ) ) ))).
% 1.31/1.19 thf(zf_stmt_21, negated_conjecture,
% 1.31/1.19 (( ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.19 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 1.31/1.19 X10 @ X11 ) |
% 1.31/1.19 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.31/1.19 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.31/1.19 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.31/1.19 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.31/1.19 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 1.31/1.19 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 1.31/1.19 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 1.31/1.19 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 1.31/1.19 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.19 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 1.31/1.19 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.19 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 1.31/1.19 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.19 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 1.31/1.19 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.19 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 1.31/1.19 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.19 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 1.31/1.19 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.19 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 1.31/1.19 ( ~( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.19 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 1.31/1.19 X10 ) )),
% 1.31/1.19 inference('cnf.neg', [status(esa)], [clause38])).
% 1.31/1.19 thf(zip_derived_cl64, plain,
% 1.31/1.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.19 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.31/1.19 X14 : $i, X15 : $i, X16 : $i]:
% 1.31/1.19 ( (ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 1.31/1.19 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @
% 1.31/1.19 X16)
% 1.31/1.19 | ~ (ssNder1_0)
% 1.31/1.19 | ~ (ssNder1_1r1 @ X0)
% 1.31/1.19 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 1.31/1.19 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 1.31/1.19 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 1.31/1.19 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 1.31/1.19 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 1.31/1.19 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 1.31/1.19 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.31/1.19 X7)
% 1.31/1.19 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.31/1.19 X6 @ X7 @ X8)
% 1.31/1.19 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.31/1.19 X6 @ X7 @ X8 @ X9)
% 1.31/1.19 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.31/1.19 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 1.31/1.19 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.31/1.19 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 1.31/1.19 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.31/1.19 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 1.31/1.19 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 1.31/1.19 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 1.31/1.19 | ~ (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 1.31/1.19 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 1.31/1.19 | ~ (ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 1.31/1.19 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 1.31/1.19 X14 @ X15))),
% 1.31/1.19 inference('cnf', [status(esa)], [zf_stmt_21])).
% 1.31/1.19 thf(zip_derived_cl101, plain, ( (ssNder1_0)),
% 1.31/1.19 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.31/1.19 thf(zip_derived_cl107, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 1.31/1.19 inference('demod', [status(thm)], [zip_derived_cl100, zip_derived_cl101])).
% 1.31/1.19 thf(zip_derived_cl108, plain,
% 1.31/1.19 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 1.31/1.19 inference('demod', [status(thm)],
% 1.31/1.19 [zip_derived_cl99, zip_derived_cl101, zip_derived_cl107])).
% 1.31/1.19 thf(zip_derived_cl109, plain,
% 1.31/1.19 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 1.31/1.19 inference('demod', [status(thm)],
% 1.31/1.19 [zip_derived_cl98, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.19 zip_derived_cl108])).
% 1.31/1.19 thf(zip_derived_cl110, plain,
% 1.31/1.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.31/1.19 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 1.31/1.19 inference('demod', [status(thm)],
% 1.31/1.19 [zip_derived_cl97, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.19 zip_derived_cl108, zip_derived_cl109])).
% 1.31/1.19 thf(zip_derived_cl112, plain,
% 1.31/1.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.31/1.19 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 1.31/1.19 inference('demod', [status(thm)],
% 1.31/1.19 [zip_derived_cl94, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.19 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110])).
% 1.31/1.19 thf(zip_derived_cl114, plain,
% 1.31/1.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.31/1.19 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 1.31/1.19 inference('demod', [status(thm)],
% 1.31/1.19 [zip_derived_cl91, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.19 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.19 zip_derived_cl112])).
% 1.31/1.19 thf(zip_derived_cl121, plain,
% 1.31/1.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 1.31/1.19 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 1.31/1.19 inference('demod', [status(thm)],
% 1.31/1.19 [zip_derived_cl88, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.19 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.19 zip_derived_cl112, zip_derived_cl114])).
% 1.31/1.19 thf(zip_derived_cl122, plain,
% 1.31/1.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 1.31/1.19 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 1.31/1.19 inference('demod', [status(thm)],
% 1.31/1.19 [zip_derived_cl85, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.19 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.19 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121])).
% 1.31/1.19 thf(zip_derived_cl123, plain,
% 1.31/1.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.19 X7 : $i, X8 : $i]:
% 1.31/1.19 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.31/1.19 X7 @ X8)),
% 1.31/1.19 inference('demod', [status(thm)],
% 1.31/1.19 [zip_derived_cl84, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.19 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.19 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.19 zip_derived_cl122])).
% 1.31/1.19 thf(zip_derived_cl129, plain,
% 1.31/1.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.19 X7 : $i, X8 : $i, X9 : $i]:
% 1.31/1.19 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.31/1.19 X7 @ X8 @ X9)),
% 1.31/1.19 inference('demod', [status(thm)],
% 1.31/1.19 [zip_derived_cl83, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.19 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.19 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.19 zip_derived_cl122, zip_derived_cl123])).
% 1.31/1.19 thf(zip_derived_cl136, plain,
% 1.31/1.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.19 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 1.31/1.19 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.31/1.19 X6 @ X7 @ X8 @ X9 @ X10)),
% 1.31/1.19 inference('demod', [status(thm)],
% 1.31/1.19 [zip_derived_cl81, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.19 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.19 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.19 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129])).
% 1.31/1.19 thf(zip_derived_cl137, plain,
% 1.31/1.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.19 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 1.31/1.19 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.31/1.19 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 1.31/1.19 inference('demod', [status(thm)],
% 1.31/1.19 [zip_derived_cl80, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.19 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.19 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.19 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.19 zip_derived_cl136])).
% 1.31/1.19 thf(zip_derived_cl139, plain,
% 1.31/1.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.19 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 1.31/1.19 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.31/1.19 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 1.31/1.19 inference('demod', [status(thm)],
% 1.31/1.19 [zip_derived_cl77, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.19 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.19 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.19 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.19 zip_derived_cl136, zip_derived_cl137])).
% 1.31/1.19 thf(zip_derived_cl141, plain,
% 1.31/1.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.19 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 1.31/1.19 (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.31/1.19 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)),
% 1.31/1.19 inference('demod', [status(thm)],
% 1.31/1.19 [zip_derived_cl74, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.19 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.19 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.19 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.19 zip_derived_cl136, zip_derived_cl137, zip_derived_cl139])).
% 1.31/1.19 thf(zip_derived_cl150, plain,
% 1.31/1.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.19 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.31/1.19 X14 : $i]:
% 1.31/1.19 (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.31/1.19 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)),
% 1.31/1.19 inference('demod', [status(thm)],
% 1.31/1.19 [zip_derived_cl70, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.19 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.19 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.19 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.19 zip_derived_cl136, zip_derived_cl137, zip_derived_cl139,
% 1.31/1.19 zip_derived_cl141])).
% 1.31/1.19 thf(zip_derived_cl160, plain,
% 1.31/1.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.19 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.31/1.19 X14 : $i, X15 : $i]:
% 1.31/1.19 (ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 1.31/1.19 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15)),
% 1.31/1.19 inference('demod', [status(thm)],
% 1.31/1.19 [zip_derived_cl67, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.19 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.19 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.19 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.19 zip_derived_cl136, zip_derived_cl137, zip_derived_cl139,
% 1.31/1.19 zip_derived_cl141, zip_derived_cl150])).
% 1.31/1.19 thf(zip_derived_cl167, plain,
% 1.31/1.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.19 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.31/1.19 X14 : $i, X15 : $i, X16 : $i]:
% 1.31/1.19 (ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 1.31/1.19 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @
% 1.31/1.19 X16)),
% 1.31/1.19 inference('demod', [status(thm)],
% 1.31/1.19 [zip_derived_cl64, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.19 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.19 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.19 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.19 zip_derived_cl136, zip_derived_cl137, zip_derived_cl139,
% 1.31/1.19 zip_derived_cl141, zip_derived_cl150, zip_derived_cl160])).
% 1.31/1.19 thf(clause39, conjecture,
% 1.31/1.19 (~( ( ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.19 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 1.31/1.19 X10 @ X11 @ X12 ) |
% 1.31/1.19 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.31/1.19 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 1.31/1.19 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.31/1.19 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.31/1.19 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.31/1.19 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 1.31/1.19 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 1.31/1.19 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 1.31/1.19 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 1.31/1.19 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.19 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 1.31/1.19 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.19 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 1.31/1.19 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.19 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 1.31/1.19 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.19 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 1.31/1.19 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.19 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 1.31/1.19 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.19 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 1.31/1.19 ( ~( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.19 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 1.31/1.19 X9 @ X10 ) ) |
% 1.31/1.19 ( ~( ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.19 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 1.31/1.19 X9 @ X10 @ X11 ) ) ))).
% 1.31/1.19 thf(zf_stmt_22, negated_conjecture,
% 1.31/1.19 (( ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.19 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 1.31/1.19 X10 @ X11 @ X12 ) |
% 1.31/1.19 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.31/1.19 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.31/1.19 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.31/1.19 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.31/1.19 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 1.31/1.19 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 1.31/1.19 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 1.31/1.19 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 1.31/1.19 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.19 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 1.31/1.19 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.19 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 1.31/1.19 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.19 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 1.31/1.19 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.19 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 1.31/1.19 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.19 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 1.31/1.19 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.19 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 1.31/1.19 ( ~( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.19 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 1.31/1.19 X10 ) ) |
% 1.31/1.19 ( ~( ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.19 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 1.31/1.19 X10 @ X11 ) )),
% 1.31/1.19 inference('cnf.neg', [status(esa)], [clause39])).
% 1.31/1.19 thf(zip_derived_cl63, plain,
% 1.31/1.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.19 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.31/1.19 X14 : $i, X15 : $i, X16 : $i, X17 : $i]:
% 1.31/1.19 ( (ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 1.31/1.19 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @
% 1.31/1.19 X15 @ X16 @ X17)
% 1.31/1.19 | ~ (ssNder1_0)
% 1.31/1.19 | ~ (ssNder1_1r1 @ X0)
% 1.31/1.19 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 1.31/1.19 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 1.31/1.19 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 1.31/1.19 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 1.31/1.19 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 1.31/1.19 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 1.31/1.19 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.31/1.19 X7)
% 1.31/1.19 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.31/1.19 X6 @ X7 @ X8)
% 1.31/1.19 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.31/1.19 X6 @ X7 @ X8 @ X9)
% 1.31/1.19 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.31/1.19 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 1.31/1.19 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.31/1.19 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 1.31/1.19 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.31/1.19 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 1.31/1.19 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 1.31/1.19 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 1.31/1.19 | ~ (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 1.31/1.19 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 1.31/1.19 | ~ (ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 1.31/1.19 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 1.31/1.19 X14 @ X15)
% 1.31/1.19 | ~ (ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 1.31/1.19 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 1.31/1.19 X14 @ X15 @ X16))),
% 1.31/1.19 inference('cnf', [status(esa)], [zf_stmt_22])).
% 1.31/1.19 thf(zip_derived_cl101, plain, ( (ssNder1_0)),
% 1.31/1.19 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.31/1.19 thf(zip_derived_cl107, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 1.31/1.19 inference('demod', [status(thm)], [zip_derived_cl100, zip_derived_cl101])).
% 1.31/1.19 thf(zip_derived_cl108, plain,
% 1.31/1.19 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 1.31/1.19 inference('demod', [status(thm)],
% 1.31/1.19 [zip_derived_cl99, zip_derived_cl101, zip_derived_cl107])).
% 1.31/1.19 thf(zip_derived_cl109, plain,
% 1.31/1.19 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 1.31/1.19 inference('demod', [status(thm)],
% 1.31/1.19 [zip_derived_cl98, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.19 zip_derived_cl108])).
% 1.31/1.19 thf(zip_derived_cl110, plain,
% 1.31/1.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.31/1.19 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 1.31/1.19 inference('demod', [status(thm)],
% 1.31/1.19 [zip_derived_cl97, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.19 zip_derived_cl108, zip_derived_cl109])).
% 1.31/1.19 thf(zip_derived_cl112, plain,
% 1.31/1.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.31/1.19 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 1.31/1.19 inference('demod', [status(thm)],
% 1.31/1.19 [zip_derived_cl94, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.19 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110])).
% 1.31/1.19 thf(zip_derived_cl114, plain,
% 1.31/1.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.31/1.19 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 1.31/1.19 inference('demod', [status(thm)],
% 1.31/1.19 [zip_derived_cl91, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.19 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.19 zip_derived_cl112])).
% 1.31/1.19 thf(zip_derived_cl121, plain,
% 1.31/1.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 1.31/1.19 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 1.31/1.19 inference('demod', [status(thm)],
% 1.31/1.19 [zip_derived_cl88, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.19 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.19 zip_derived_cl112, zip_derived_cl114])).
% 1.31/1.19 thf(zip_derived_cl122, plain,
% 1.31/1.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 1.31/1.19 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 1.31/1.19 inference('demod', [status(thm)],
% 1.31/1.19 [zip_derived_cl85, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.19 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.19 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121])).
% 1.31/1.19 thf(zip_derived_cl123, plain,
% 1.31/1.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.19 X7 : $i, X8 : $i]:
% 1.31/1.19 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.31/1.19 X7 @ X8)),
% 1.31/1.19 inference('demod', [status(thm)],
% 1.31/1.19 [zip_derived_cl84, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.19 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.19 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.19 zip_derived_cl122])).
% 1.31/1.19 thf(zip_derived_cl129, plain,
% 1.31/1.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.19 X7 : $i, X8 : $i, X9 : $i]:
% 1.31/1.19 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.31/1.19 X7 @ X8 @ X9)),
% 1.31/1.19 inference('demod', [status(thm)],
% 1.31/1.19 [zip_derived_cl83, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.19 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.19 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.19 zip_derived_cl122, zip_derived_cl123])).
% 1.31/1.19 thf(zip_derived_cl136, plain,
% 1.31/1.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.19 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 1.31/1.19 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.31/1.19 X6 @ X7 @ X8 @ X9 @ X10)),
% 1.31/1.19 inference('demod', [status(thm)],
% 1.31/1.19 [zip_derived_cl81, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.19 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.19 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.19 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129])).
% 1.31/1.19 thf(zip_derived_cl137, plain,
% 1.31/1.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.19 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 1.31/1.19 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.31/1.19 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 1.31/1.19 inference('demod', [status(thm)],
% 1.31/1.19 [zip_derived_cl80, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.19 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.19 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.19 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.19 zip_derived_cl136])).
% 1.31/1.19 thf(zip_derived_cl139, plain,
% 1.31/1.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.19 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 1.31/1.19 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.31/1.19 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 1.31/1.19 inference('demod', [status(thm)],
% 1.31/1.19 [zip_derived_cl77, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.19 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.19 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.19 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.19 zip_derived_cl136, zip_derived_cl137])).
% 1.31/1.19 thf(zip_derived_cl141, plain,
% 1.31/1.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.19 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 1.31/1.19 (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.31/1.19 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)),
% 1.31/1.19 inference('demod', [status(thm)],
% 1.31/1.19 [zip_derived_cl74, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.19 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.19 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.19 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.19 zip_derived_cl136, zip_derived_cl137, zip_derived_cl139])).
% 1.31/1.19 thf(zip_derived_cl150, plain,
% 1.31/1.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.19 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.31/1.19 X14 : $i]:
% 1.31/1.19 (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.31/1.19 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)),
% 1.31/1.19 inference('demod', [status(thm)],
% 1.31/1.19 [zip_derived_cl70, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.19 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.19 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.19 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.19 zip_derived_cl136, zip_derived_cl137, zip_derived_cl139,
% 1.31/1.19 zip_derived_cl141])).
% 1.31/1.19 thf(zip_derived_cl160, plain,
% 1.31/1.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.19 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.31/1.19 X14 : $i, X15 : $i]:
% 1.31/1.19 (ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 1.31/1.19 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15)),
% 1.31/1.19 inference('demod', [status(thm)],
% 1.31/1.19 [zip_derived_cl67, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.19 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.19 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.19 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.19 zip_derived_cl136, zip_derived_cl137, zip_derived_cl139,
% 1.31/1.19 zip_derived_cl141, zip_derived_cl150])).
% 1.31/1.19 thf(zip_derived_cl167, plain,
% 1.31/1.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.19 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.31/1.19 X14 : $i, X15 : $i, X16 : $i]:
% 1.31/1.19 (ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 1.31/1.19 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @
% 1.31/1.19 X16)),
% 1.31/1.19 inference('demod', [status(thm)],
% 1.31/1.19 [zip_derived_cl64, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.19 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.19 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.19 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.19 zip_derived_cl136, zip_derived_cl137, zip_derived_cl139,
% 1.31/1.19 zip_derived_cl141, zip_derived_cl150, zip_derived_cl160])).
% 1.31/1.19 thf(zip_derived_cl168, plain,
% 1.31/1.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.19 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.31/1.19 X14 : $i, X15 : $i, X16 : $i, X17 : $i]:
% 1.31/1.19 (ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 1.31/1.19 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @
% 1.31/1.19 X15 @ X16 @ X17)),
% 1.31/1.19 inference('demod', [status(thm)],
% 1.31/1.19 [zip_derived_cl63, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.19 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.19 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.19 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.19 zip_derived_cl136, zip_derived_cl137, zip_derived_cl139,
% 1.31/1.19 zip_derived_cl141, zip_derived_cl150, zip_derived_cl160,
% 1.31/1.19 zip_derived_cl167])).
% 1.31/1.19 thf(clause41, conjecture,
% 1.31/1.19 (~( ( ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.19 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 1.31/1.19 X10 @ X11 @ X12 @ X13 ) |
% 1.31/1.19 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.31/1.19 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 1.31/1.19 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.31/1.19 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.31/1.19 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.31/1.19 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 1.31/1.19 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 1.31/1.19 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 1.31/1.19 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 1.31/1.19 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.19 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 1.31/1.19 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.19 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 1.31/1.19 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.19 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 1.31/1.19 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.19 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 1.31/1.19 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.19 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 1.31/1.19 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.19 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 1.31/1.19 ( ~( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.19 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 1.31/1.19 X9 @ X10 ) ) |
% 1.31/1.19 ( ~( ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.19 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 1.31/1.19 X9 @ X10 @ X11 ) ) |
% 1.31/1.19 ( ~( ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.19 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 1.31/1.19 X9 @ X10 @ X11 @ X12 ) ) ))).
% 1.31/1.19 thf(zf_stmt_23, negated_conjecture,
% 1.31/1.19 (( ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.19 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 1.31/1.19 X10 @ X11 @ X12 @ X13 ) |
% 1.31/1.19 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.31/1.19 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.31/1.19 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.31/1.19 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.31/1.19 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 1.31/1.19 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 1.31/1.19 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 1.31/1.19 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 1.31/1.19 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.19 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 1.31/1.19 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.19 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 1.31/1.19 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.19 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 1.31/1.19 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.19 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 1.31/1.19 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.19 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 1.31/1.19 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.19 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 1.31/1.19 ( ~( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.19 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 1.31/1.19 X10 ) ) |
% 1.31/1.19 ( ~( ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.19 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 1.31/1.19 X10 @ X11 ) ) |
% 1.31/1.19 ( ~( ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.19 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 1.31/1.19 X10 @ X11 @ X12 ) )),
% 1.31/1.19 inference('cnf.neg', [status(esa)], [clause41])).
% 1.31/1.19 thf(zip_derived_cl61, plain,
% 1.31/1.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.19 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.31/1.19 X14 : $i, X15 : $i, X16 : $i, X17 : $i, X18 : $i]:
% 1.31/1.19 ( (ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 1.31/1.19 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @
% 1.31/1.19 X15 @ X16 @ X17 @ X18)
% 1.31/1.19 | ~ (ssNder1_0)
% 1.31/1.19 | ~ (ssNder1_1r1 @ X0)
% 1.31/1.19 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 1.31/1.19 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 1.31/1.19 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 1.31/1.19 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 1.31/1.19 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 1.31/1.19 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 1.31/1.19 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.31/1.20 X7)
% 1.31/1.20 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.31/1.20 X6 @ X7 @ X8)
% 1.31/1.20 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.31/1.20 X6 @ X7 @ X8 @ X9)
% 1.31/1.20 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.31/1.20 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 1.31/1.20 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.31/1.20 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 1.31/1.20 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.31/1.20 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 1.31/1.20 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 1.31/1.20 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 1.31/1.20 | ~ (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 1.31/1.20 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 1.31/1.20 | ~ (ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 1.31/1.20 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 1.31/1.20 X14 @ X15)
% 1.31/1.20 | ~ (ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 1.31/1.20 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 1.31/1.20 X14 @ X15 @ X16)
% 1.31/1.20 | ~ (ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 1.31/1.20 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 1.31/1.20 X14 @ X15 @ X16 @ X17))),
% 1.31/1.20 inference('cnf', [status(esa)], [zf_stmt_23])).
% 1.31/1.20 thf(zip_derived_cl101, plain, ( (ssNder1_0)),
% 1.31/1.20 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.31/1.20 thf(zip_derived_cl107, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 1.31/1.20 inference('demod', [status(thm)], [zip_derived_cl100, zip_derived_cl101])).
% 1.31/1.20 thf(zip_derived_cl108, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl99, zip_derived_cl101, zip_derived_cl107])).
% 1.31/1.20 thf(zip_derived_cl109, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl98, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108])).
% 1.31/1.20 thf(zip_derived_cl110, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.31/1.20 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl97, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109])).
% 1.31/1.20 thf(zip_derived_cl112, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.31/1.20 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl94, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110])).
% 1.31/1.20 thf(zip_derived_cl114, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.31/1.20 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl91, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112])).
% 1.31/1.20 thf(zip_derived_cl121, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 1.31/1.20 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl88, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114])).
% 1.31/1.20 thf(zip_derived_cl122, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 1.31/1.20 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl85, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121])).
% 1.31/1.20 thf(zip_derived_cl123, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i]:
% 1.31/1.20 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.31/1.20 X7 @ X8)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl84, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.20 zip_derived_cl122])).
% 1.31/1.20 thf(zip_derived_cl129, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i, X9 : $i]:
% 1.31/1.20 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.31/1.20 X7 @ X8 @ X9)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl83, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.20 zip_derived_cl122, zip_derived_cl123])).
% 1.31/1.20 thf(zip_derived_cl136, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 1.31/1.20 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.31/1.20 X6 @ X7 @ X8 @ X9 @ X10)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl81, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.20 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129])).
% 1.31/1.20 thf(zip_derived_cl137, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 1.31/1.20 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.31/1.20 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl80, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.20 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.20 zip_derived_cl136])).
% 1.31/1.20 thf(zip_derived_cl139, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 1.31/1.20 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.31/1.20 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl77, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.20 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.20 zip_derived_cl136, zip_derived_cl137])).
% 1.31/1.20 thf(zip_derived_cl141, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 1.31/1.20 (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.31/1.20 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl74, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.20 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.20 zip_derived_cl136, zip_derived_cl137, zip_derived_cl139])).
% 1.31/1.20 thf(zip_derived_cl150, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.31/1.20 X14 : $i]:
% 1.31/1.20 (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.31/1.20 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl70, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.20 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.20 zip_derived_cl136, zip_derived_cl137, zip_derived_cl139,
% 1.31/1.20 zip_derived_cl141])).
% 1.31/1.20 thf(zip_derived_cl160, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.31/1.20 X14 : $i, X15 : $i]:
% 1.31/1.20 (ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 1.31/1.20 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl67, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.20 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.20 zip_derived_cl136, zip_derived_cl137, zip_derived_cl139,
% 1.31/1.20 zip_derived_cl141, zip_derived_cl150])).
% 1.31/1.20 thf(zip_derived_cl167, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.31/1.20 X14 : $i, X15 : $i, X16 : $i]:
% 1.31/1.20 (ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 1.31/1.20 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @
% 1.31/1.20 X16)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl64, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.20 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.20 zip_derived_cl136, zip_derived_cl137, zip_derived_cl139,
% 1.31/1.20 zip_derived_cl141, zip_derived_cl150, zip_derived_cl160])).
% 1.31/1.20 thf(zip_derived_cl168, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.31/1.20 X14 : $i, X15 : $i, X16 : $i, X17 : $i]:
% 1.31/1.20 (ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 1.31/1.20 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @
% 1.31/1.20 X15 @ X16 @ X17)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl63, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.20 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.20 zip_derived_cl136, zip_derived_cl137, zip_derived_cl139,
% 1.31/1.20 zip_derived_cl141, zip_derived_cl150, zip_derived_cl160,
% 1.31/1.20 zip_derived_cl167])).
% 1.31/1.20 thf(zip_derived_cl171, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.31/1.20 X14 : $i, X15 : $i, X16 : $i, X17 : $i, X18 : $i]:
% 1.31/1.20 (ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 1.31/1.20 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @
% 1.31/1.20 X15 @ X16 @ X17 @ X18)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl61, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.20 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.20 zip_derived_cl136, zip_derived_cl137, zip_derived_cl139,
% 1.31/1.20 zip_derived_cl141, zip_derived_cl150, zip_derived_cl160,
% 1.31/1.20 zip_derived_cl167, zip_derived_cl168])).
% 1.31/1.20 thf(clause45, conjecture,
% 1.31/1.20 (~( ( ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 1.31/1.20 X10 @ X11 @ X12 @ X13 @ X14 ) |
% 1.31/1.20 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.31/1.20 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 1.31/1.20 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.31/1.20 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.31/1.20 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.31/1.20 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 1.31/1.20 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 1.31/1.20 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 1.31/1.20 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 1.31/1.20 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 1.31/1.20 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 1.31/1.20 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 1.31/1.20 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 1.31/1.20 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 1.31/1.20 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 1.31/1.20 ( ~( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 1.31/1.20 X9 @ X10 ) ) |
% 1.31/1.20 ( ~( ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 1.31/1.20 X9 @ X10 @ X11 ) ) |
% 1.31/1.20 ( ~( ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 1.31/1.20 X9 @ X10 @ X11 @ X12 ) ) |
% 1.31/1.20 ( ~( ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 1.31/1.20 X9 @ X10 @ X11 @ X12 @ X13 ) ) ))).
% 1.31/1.20 thf(zf_stmt_24, negated_conjecture,
% 1.31/1.20 (( ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 1.31/1.20 X10 @ X11 @ X12 @ X13 @ X14 ) |
% 1.31/1.20 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.31/1.20 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.31/1.20 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.31/1.20 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.31/1.20 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 1.31/1.20 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 1.31/1.20 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 1.31/1.20 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 1.31/1.20 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 1.31/1.20 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 1.31/1.20 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 1.31/1.20 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 1.31/1.20 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 1.31/1.20 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 1.31/1.20 ( ~( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 1.31/1.20 X10 ) ) |
% 1.31/1.20 ( ~( ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 1.31/1.20 X10 @ X11 ) ) |
% 1.31/1.20 ( ~( ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 1.31/1.20 X10 @ X11 @ X12 ) ) |
% 1.31/1.20 ( ~( ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 1.31/1.20 X10 @ X11 @ X12 @ X13 ) )),
% 1.31/1.20 inference('cnf.neg', [status(esa)], [clause45])).
% 1.31/1.20 thf(zip_derived_cl57, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.31/1.20 X14 : $i, X15 : $i, X16 : $i, X17 : $i, X18 : $i, X19 : $i]:
% 1.31/1.20 ( (ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @
% 1.31/1.20 X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 1.31/1.20 X14 @ X15 @ X16 @ X17 @ X18 @ X19)
% 1.31/1.20 | ~ (ssNder1_0)
% 1.31/1.20 | ~ (ssNder1_1r1 @ X0)
% 1.31/1.20 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 1.31/1.20 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 1.31/1.20 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 1.31/1.20 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 1.31/1.20 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 1.31/1.20 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 1.31/1.20 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.31/1.20 X7)
% 1.31/1.20 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.31/1.20 X6 @ X7 @ X8)
% 1.31/1.20 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.31/1.20 X6 @ X7 @ X8 @ X9)
% 1.31/1.20 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.31/1.20 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 1.31/1.20 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.31/1.20 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 1.31/1.20 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.31/1.20 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 1.31/1.20 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 1.31/1.20 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 1.31/1.20 | ~ (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 1.31/1.20 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 1.31/1.20 | ~ (ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 1.31/1.20 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 1.31/1.20 X14 @ X15)
% 1.31/1.20 | ~ (ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 1.31/1.20 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 1.31/1.20 X14 @ X15 @ X16)
% 1.31/1.20 | ~ (ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 1.31/1.20 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 1.31/1.20 X14 @ X15 @ X16 @ X17)
% 1.31/1.20 | ~ (ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @
% 1.31/1.20 X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 1.31/1.20 X14 @ X15 @ X16 @ X17 @ X18))),
% 1.31/1.20 inference('cnf', [status(esa)], [zf_stmt_24])).
% 1.31/1.20 thf(zip_derived_cl101, plain, ( (ssNder1_0)),
% 1.31/1.20 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.31/1.20 thf(zip_derived_cl107, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 1.31/1.20 inference('demod', [status(thm)], [zip_derived_cl100, zip_derived_cl101])).
% 1.31/1.20 thf(zip_derived_cl108, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl99, zip_derived_cl101, zip_derived_cl107])).
% 1.31/1.20 thf(zip_derived_cl109, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl98, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108])).
% 1.31/1.20 thf(zip_derived_cl110, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.31/1.20 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl97, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109])).
% 1.31/1.20 thf(zip_derived_cl112, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.31/1.20 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl94, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110])).
% 1.31/1.20 thf(zip_derived_cl114, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.31/1.20 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl91, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112])).
% 1.31/1.20 thf(zip_derived_cl121, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 1.31/1.20 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl88, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114])).
% 1.31/1.20 thf(zip_derived_cl122, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 1.31/1.20 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl85, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121])).
% 1.31/1.20 thf(zip_derived_cl123, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i]:
% 1.31/1.20 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.31/1.20 X7 @ X8)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl84, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.20 zip_derived_cl122])).
% 1.31/1.20 thf(zip_derived_cl129, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i, X9 : $i]:
% 1.31/1.20 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.31/1.20 X7 @ X8 @ X9)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl83, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.20 zip_derived_cl122, zip_derived_cl123])).
% 1.31/1.20 thf(zip_derived_cl136, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 1.31/1.20 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.31/1.20 X6 @ X7 @ X8 @ X9 @ X10)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl81, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.20 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129])).
% 1.31/1.20 thf(zip_derived_cl137, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 1.31/1.20 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.31/1.20 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl80, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.20 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.20 zip_derived_cl136])).
% 1.31/1.20 thf(zip_derived_cl139, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 1.31/1.20 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.31/1.20 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl77, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.20 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.20 zip_derived_cl136, zip_derived_cl137])).
% 1.31/1.20 thf(zip_derived_cl141, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 1.31/1.20 (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.31/1.20 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl74, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.20 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.20 zip_derived_cl136, zip_derived_cl137, zip_derived_cl139])).
% 1.31/1.20 thf(zip_derived_cl150, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.31/1.20 X14 : $i]:
% 1.31/1.20 (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.31/1.20 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl70, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.20 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.20 zip_derived_cl136, zip_derived_cl137, zip_derived_cl139,
% 1.31/1.20 zip_derived_cl141])).
% 1.31/1.20 thf(zip_derived_cl160, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.31/1.20 X14 : $i, X15 : $i]:
% 1.31/1.20 (ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 1.31/1.20 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl67, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.20 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.20 zip_derived_cl136, zip_derived_cl137, zip_derived_cl139,
% 1.31/1.20 zip_derived_cl141, zip_derived_cl150])).
% 1.31/1.20 thf(zip_derived_cl167, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.31/1.20 X14 : $i, X15 : $i, X16 : $i]:
% 1.31/1.20 (ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 1.31/1.20 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @
% 1.31/1.20 X16)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl64, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.20 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.20 zip_derived_cl136, zip_derived_cl137, zip_derived_cl139,
% 1.31/1.20 zip_derived_cl141, zip_derived_cl150, zip_derived_cl160])).
% 1.31/1.20 thf(zip_derived_cl168, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.31/1.20 X14 : $i, X15 : $i, X16 : $i, X17 : $i]:
% 1.31/1.20 (ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 1.31/1.20 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @
% 1.31/1.20 X15 @ X16 @ X17)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl63, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.20 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.20 zip_derived_cl136, zip_derived_cl137, zip_derived_cl139,
% 1.31/1.20 zip_derived_cl141, zip_derived_cl150, zip_derived_cl160,
% 1.31/1.20 zip_derived_cl167])).
% 1.31/1.20 thf(zip_derived_cl171, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.31/1.20 X14 : $i, X15 : $i, X16 : $i, X17 : $i, X18 : $i]:
% 1.31/1.20 (ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 1.31/1.20 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @
% 1.31/1.20 X15 @ X16 @ X17 @ X18)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl61, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.20 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.20 zip_derived_cl136, zip_derived_cl137, zip_derived_cl139,
% 1.31/1.20 zip_derived_cl141, zip_derived_cl150, zip_derived_cl160,
% 1.31/1.20 zip_derived_cl167, zip_derived_cl168])).
% 1.31/1.20 thf(zip_derived_cl172, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.31/1.20 X14 : $i, X15 : $i, X16 : $i, X17 : $i, X18 : $i, X19 : $i]:
% 1.31/1.20 (ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 1.31/1.20 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @
% 1.31/1.20 X15 @ X16 @ X17 @ X18 @ X19)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl57, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.20 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.20 zip_derived_cl136, zip_derived_cl137, zip_derived_cl139,
% 1.31/1.20 zip_derived_cl141, zip_derived_cl150, zip_derived_cl160,
% 1.31/1.20 zip_derived_cl167, zip_derived_cl168, zip_derived_cl171])).
% 1.31/1.20 thf(clause50, conjecture,
% 1.31/1.20 (~( ( ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 1.31/1.20 X10 @ X11 @ X12 @ X13 @ X14 @ X15 ) |
% 1.31/1.20 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.31/1.20 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 1.31/1.20 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.31/1.20 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.31/1.20 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.31/1.20 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 1.31/1.20 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 1.31/1.20 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 1.31/1.20 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 1.31/1.20 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 1.31/1.20 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 1.31/1.20 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 1.31/1.20 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 1.31/1.20 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 1.31/1.20 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 1.31/1.20 ( ~( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 1.31/1.20 X9 @ X10 ) ) |
% 1.31/1.20 ( ~( ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 1.31/1.20 X9 @ X10 @ X11 ) ) |
% 1.31/1.20 ( ~( ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 1.31/1.20 X9 @ X10 @ X11 @ X12 ) ) |
% 1.31/1.20 ( ~( ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 1.31/1.20 X9 @ X10 @ X11 @ X12 @ X13 ) ) |
% 1.31/1.20 ( ~( ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 1.31/1.20 X9 @ X10 @ X11 @ X12 @ X13 @ X14 ) ) ))).
% 1.31/1.20 thf(zf_stmt_25, negated_conjecture,
% 1.31/1.20 (( ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 1.31/1.20 X10 @ X11 @ X12 @ X13 @ X14 @ X15 ) |
% 1.31/1.20 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.31/1.20 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.31/1.20 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.31/1.20 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.31/1.20 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 1.31/1.20 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 1.31/1.20 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 1.31/1.20 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 1.31/1.20 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 1.31/1.20 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 1.31/1.20 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 1.31/1.20 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 1.31/1.20 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 1.31/1.20 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 1.31/1.20 ( ~( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 1.31/1.20 X10 ) ) |
% 1.31/1.20 ( ~( ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 1.31/1.20 X10 @ X11 ) ) |
% 1.31/1.20 ( ~( ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 1.31/1.20 X10 @ X11 @ X12 ) ) |
% 1.31/1.20 ( ~( ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 1.31/1.20 X10 @ X11 @ X12 @ X13 ) ) |
% 1.31/1.20 ( ~( ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 1.31/1.20 X10 @ X11 @ X12 @ X13 @ X14 ) )),
% 1.31/1.20 inference('cnf.neg', [status(esa)], [clause50])).
% 1.31/1.20 thf(zip_derived_cl52, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.31/1.20 X14 : $i, X15 : $i, X16 : $i, X17 : $i, X18 : $i, X19 : $i, X20 : $i]:
% 1.31/1.20 ( (ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @
% 1.31/1.20 X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 1.31/1.20 X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20)
% 1.31/1.20 | ~ (ssNder1_0)
% 1.31/1.20 | ~ (ssNder1_1r1 @ X0)
% 1.31/1.20 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 1.31/1.20 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 1.31/1.20 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 1.31/1.20 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 1.31/1.20 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 1.31/1.20 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 1.31/1.20 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.31/1.20 X7)
% 1.31/1.20 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.31/1.20 X6 @ X7 @ X8)
% 1.31/1.20 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.31/1.20 X6 @ X7 @ X8 @ X9)
% 1.31/1.20 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.31/1.20 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 1.31/1.20 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.31/1.20 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 1.31/1.20 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.31/1.20 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 1.31/1.20 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 1.31/1.20 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 1.31/1.20 | ~ (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 1.31/1.20 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 1.31/1.20 | ~ (ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 1.31/1.20 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 1.31/1.20 X14 @ X15)
% 1.31/1.20 | ~ (ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 1.31/1.20 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 1.31/1.20 X14 @ X15 @ X16)
% 1.31/1.20 | ~ (ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 1.31/1.20 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 1.31/1.20 X14 @ X15 @ X16 @ X17)
% 1.31/1.20 | ~ (ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @
% 1.31/1.20 X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 1.31/1.20 X14 @ X15 @ X16 @ X17 @ X18)
% 1.31/1.20 | ~ (ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @
% 1.31/1.20 X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 1.31/1.20 X14 @ X15 @ X16 @ X17 @ X18 @ X19))),
% 1.31/1.20 inference('cnf', [status(esa)], [zf_stmt_25])).
% 1.31/1.20 thf(zip_derived_cl101, plain, ( (ssNder1_0)),
% 1.31/1.20 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.31/1.20 thf(zip_derived_cl107, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 1.31/1.20 inference('demod', [status(thm)], [zip_derived_cl100, zip_derived_cl101])).
% 1.31/1.20 thf(zip_derived_cl108, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl99, zip_derived_cl101, zip_derived_cl107])).
% 1.31/1.20 thf(zip_derived_cl109, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl98, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108])).
% 1.31/1.20 thf(zip_derived_cl110, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.31/1.20 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl97, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109])).
% 1.31/1.20 thf(zip_derived_cl112, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.31/1.20 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl94, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110])).
% 1.31/1.20 thf(zip_derived_cl114, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.31/1.20 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl91, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112])).
% 1.31/1.20 thf(zip_derived_cl121, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 1.31/1.20 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl88, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114])).
% 1.31/1.20 thf(zip_derived_cl122, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 1.31/1.20 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl85, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121])).
% 1.31/1.20 thf(zip_derived_cl123, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i]:
% 1.31/1.20 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.31/1.20 X7 @ X8)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl84, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.20 zip_derived_cl122])).
% 1.31/1.20 thf(zip_derived_cl129, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i, X9 : $i]:
% 1.31/1.20 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.31/1.20 X7 @ X8 @ X9)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl83, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.20 zip_derived_cl122, zip_derived_cl123])).
% 1.31/1.20 thf(zip_derived_cl136, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 1.31/1.20 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.31/1.20 X6 @ X7 @ X8 @ X9 @ X10)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl81, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.20 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129])).
% 1.31/1.20 thf(zip_derived_cl137, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 1.31/1.20 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.31/1.20 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl80, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.20 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.20 zip_derived_cl136])).
% 1.31/1.20 thf(zip_derived_cl139, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 1.31/1.20 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.31/1.20 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl77, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.20 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.20 zip_derived_cl136, zip_derived_cl137])).
% 1.31/1.20 thf(zip_derived_cl141, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 1.31/1.20 (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.31/1.20 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl74, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.20 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.20 zip_derived_cl136, zip_derived_cl137, zip_derived_cl139])).
% 1.31/1.20 thf(zip_derived_cl150, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.31/1.20 X14 : $i]:
% 1.31/1.20 (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.31/1.20 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl70, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.20 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.20 zip_derived_cl136, zip_derived_cl137, zip_derived_cl139,
% 1.31/1.20 zip_derived_cl141])).
% 1.31/1.20 thf(zip_derived_cl160, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.31/1.20 X14 : $i, X15 : $i]:
% 1.31/1.20 (ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 1.31/1.20 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl67, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.20 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.20 zip_derived_cl136, zip_derived_cl137, zip_derived_cl139,
% 1.31/1.20 zip_derived_cl141, zip_derived_cl150])).
% 1.31/1.20 thf(zip_derived_cl167, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.31/1.20 X14 : $i, X15 : $i, X16 : $i]:
% 1.31/1.20 (ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 1.31/1.20 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @
% 1.31/1.20 X16)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl64, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.20 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.20 zip_derived_cl136, zip_derived_cl137, zip_derived_cl139,
% 1.31/1.20 zip_derived_cl141, zip_derived_cl150, zip_derived_cl160])).
% 1.31/1.20 thf(zip_derived_cl168, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.31/1.20 X14 : $i, X15 : $i, X16 : $i, X17 : $i]:
% 1.31/1.20 (ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 1.31/1.20 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @
% 1.31/1.20 X15 @ X16 @ X17)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl63, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.20 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.20 zip_derived_cl136, zip_derived_cl137, zip_derived_cl139,
% 1.31/1.20 zip_derived_cl141, zip_derived_cl150, zip_derived_cl160,
% 1.31/1.20 zip_derived_cl167])).
% 1.31/1.20 thf(zip_derived_cl171, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.31/1.20 X14 : $i, X15 : $i, X16 : $i, X17 : $i, X18 : $i]:
% 1.31/1.20 (ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 1.31/1.20 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @
% 1.31/1.20 X15 @ X16 @ X17 @ X18)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl61, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.20 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.20 zip_derived_cl136, zip_derived_cl137, zip_derived_cl139,
% 1.31/1.20 zip_derived_cl141, zip_derived_cl150, zip_derived_cl160,
% 1.31/1.20 zip_derived_cl167, zip_derived_cl168])).
% 1.31/1.20 thf(zip_derived_cl172, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.31/1.20 X14 : $i, X15 : $i, X16 : $i, X17 : $i, X18 : $i, X19 : $i]:
% 1.31/1.20 (ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 1.31/1.20 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @
% 1.31/1.20 X15 @ X16 @ X17 @ X18 @ X19)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl57, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.20 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.20 zip_derived_cl136, zip_derived_cl137, zip_derived_cl139,
% 1.31/1.20 zip_derived_cl141, zip_derived_cl150, zip_derived_cl160,
% 1.31/1.20 zip_derived_cl167, zip_derived_cl168, zip_derived_cl171])).
% 1.31/1.20 thf(zip_derived_cl186, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.31/1.20 X14 : $i, X15 : $i, X16 : $i, X17 : $i, X18 : $i, X19 : $i, X20 : $i]:
% 1.31/1.20 (ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @
% 1.31/1.20 X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 1.31/1.20 X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl52, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.20 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.20 zip_derived_cl136, zip_derived_cl137, zip_derived_cl139,
% 1.31/1.20 zip_derived_cl141, zip_derived_cl150, zip_derived_cl160,
% 1.31/1.20 zip_derived_cl167, zip_derived_cl168, zip_derived_cl171,
% 1.31/1.20 zip_derived_cl172])).
% 1.31/1.20 thf(clause57, conjecture,
% 1.31/1.20 (~( ( ssNder1_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 1.31/1.20 X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 ) |
% 1.31/1.20 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.31/1.20 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 1.31/1.20 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.31/1.20 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.31/1.20 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.31/1.20 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 1.31/1.20 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 1.31/1.20 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 1.31/1.20 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 1.31/1.20 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 1.31/1.20 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 1.31/1.20 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 1.31/1.20 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 1.31/1.20 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 1.31/1.20 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 1.31/1.20 ( ~( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 1.31/1.20 X9 @ X10 ) ) |
% 1.31/1.20 ( ~( ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 1.31/1.20 X9 @ X10 @ X11 ) ) |
% 1.31/1.20 ( ~( ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 1.31/1.20 X9 @ X10 @ X11 @ X12 ) ) |
% 1.31/1.20 ( ~( ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 1.31/1.20 X9 @ X10 @ X11 @ X12 @ X13 ) ) |
% 1.31/1.20 ( ~( ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 1.31/1.20 X9 @ X10 @ X11 @ X12 @ X13 @ X14 ) ) |
% 1.31/1.20 ( ~( ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 1.31/1.20 X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 ) ) ))).
% 1.31/1.20 thf(zf_stmt_26, negated_conjecture,
% 1.31/1.20 (( ssNder1_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 1.31/1.20 X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 ) |
% 1.31/1.20 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.31/1.20 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.31/1.20 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.31/1.20 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.31/1.20 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 1.31/1.20 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 1.31/1.20 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 1.31/1.20 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 1.31/1.20 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 1.31/1.20 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 1.31/1.20 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 1.31/1.20 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 1.31/1.20 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 1.31/1.20 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 1.31/1.20 ( ~( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 1.31/1.20 X10 ) ) |
% 1.31/1.20 ( ~( ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 1.31/1.20 X10 @ X11 ) ) |
% 1.31/1.20 ( ~( ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 1.31/1.20 X10 @ X11 @ X12 ) ) |
% 1.31/1.20 ( ~( ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 1.31/1.20 X10 @ X11 @ X12 @ X13 ) ) |
% 1.31/1.20 ( ~( ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 1.31/1.20 X10 @ X11 @ X12 @ X13 @ X14 ) ) |
% 1.31/1.20 ( ~( ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 1.31/1.20 X10 @ X11 @ X12 @ X13 @ X14 @ X15 ) )),
% 1.31/1.20 inference('cnf.neg', [status(esa)], [clause57])).
% 1.31/1.20 thf(zip_derived_cl45, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.31/1.20 X14 : $i, X15 : $i, X16 : $i, X17 : $i, X18 : $i, X19 : $i, X20 : $i,
% 1.31/1.20 X21 : $i]:
% 1.31/1.20 ( (ssNder1_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @
% 1.31/1.20 X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 1.31/1.20 X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21)
% 1.31/1.20 | ~ (ssNder1_0)
% 1.31/1.20 | ~ (ssNder1_1r1 @ X0)
% 1.31/1.20 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 1.31/1.20 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 1.31/1.20 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 1.31/1.20 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 1.31/1.20 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 1.31/1.20 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 1.31/1.20 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.31/1.20 X7)
% 1.31/1.20 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.31/1.20 X6 @ X7 @ X8)
% 1.31/1.20 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.31/1.20 X6 @ X7 @ X8 @ X9)
% 1.31/1.20 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.31/1.20 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 1.31/1.20 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.31/1.20 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 1.31/1.20 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.31/1.20 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 1.31/1.20 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 1.31/1.20 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 1.31/1.20 | ~ (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 1.31/1.20 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 1.31/1.20 | ~ (ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 1.31/1.20 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 1.31/1.20 X14 @ X15)
% 1.31/1.20 | ~ (ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 1.31/1.20 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 1.31/1.20 X14 @ X15 @ X16)
% 1.31/1.20 | ~ (ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 1.31/1.20 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 1.31/1.20 X14 @ X15 @ X16 @ X17)
% 1.31/1.20 | ~ (ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @
% 1.31/1.20 X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 1.31/1.20 X14 @ X15 @ X16 @ X17 @ X18)
% 1.31/1.20 | ~ (ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @
% 1.31/1.20 X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 1.31/1.20 X14 @ X15 @ X16 @ X17 @ X18 @ X19)
% 1.31/1.20 | ~ (ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @
% 1.31/1.20 X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @
% 1.31/1.20 X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20))),
% 1.31/1.20 inference('cnf', [status(esa)], [zf_stmt_26])).
% 1.31/1.20 thf(zip_derived_cl101, plain, ( (ssNder1_0)),
% 1.31/1.20 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.31/1.20 thf(zip_derived_cl107, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 1.31/1.20 inference('demod', [status(thm)], [zip_derived_cl100, zip_derived_cl101])).
% 1.31/1.20 thf(zip_derived_cl108, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl99, zip_derived_cl101, zip_derived_cl107])).
% 1.31/1.20 thf(zip_derived_cl109, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl98, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108])).
% 1.31/1.20 thf(zip_derived_cl110, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.31/1.20 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl97, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109])).
% 1.31/1.20 thf(zip_derived_cl112, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.31/1.20 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl94, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110])).
% 1.31/1.20 thf(zip_derived_cl114, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.31/1.20 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl91, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112])).
% 1.31/1.20 thf(zip_derived_cl121, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 1.31/1.20 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl88, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114])).
% 1.31/1.20 thf(zip_derived_cl122, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 1.31/1.20 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl85, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121])).
% 1.31/1.20 thf(zip_derived_cl123, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i]:
% 1.31/1.20 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.31/1.20 X7 @ X8)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl84, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.20 zip_derived_cl122])).
% 1.31/1.20 thf(zip_derived_cl129, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i, X9 : $i]:
% 1.31/1.20 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.31/1.20 X7 @ X8 @ X9)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl83, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.20 zip_derived_cl122, zip_derived_cl123])).
% 1.31/1.20 thf(zip_derived_cl136, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 1.31/1.20 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.31/1.20 X6 @ X7 @ X8 @ X9 @ X10)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl81, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.20 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129])).
% 1.31/1.20 thf(zip_derived_cl137, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 1.31/1.20 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.31/1.20 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl80, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.20 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.20 zip_derived_cl136])).
% 1.31/1.20 thf(zip_derived_cl139, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 1.31/1.20 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.31/1.20 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl77, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.20 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.20 zip_derived_cl136, zip_derived_cl137])).
% 1.31/1.20 thf(zip_derived_cl141, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 1.31/1.20 (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.31/1.20 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl74, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.20 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.20 zip_derived_cl136, zip_derived_cl137, zip_derived_cl139])).
% 1.31/1.20 thf(zip_derived_cl150, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.31/1.20 X14 : $i]:
% 1.31/1.20 (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.31/1.20 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl70, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.20 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.20 zip_derived_cl136, zip_derived_cl137, zip_derived_cl139,
% 1.31/1.20 zip_derived_cl141])).
% 1.31/1.20 thf(zip_derived_cl160, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.31/1.20 X14 : $i, X15 : $i]:
% 1.31/1.20 (ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 1.31/1.20 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl67, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.20 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.20 zip_derived_cl136, zip_derived_cl137, zip_derived_cl139,
% 1.31/1.20 zip_derived_cl141, zip_derived_cl150])).
% 1.31/1.20 thf(zip_derived_cl167, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.31/1.20 X14 : $i, X15 : $i, X16 : $i]:
% 1.31/1.20 (ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 1.31/1.20 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @
% 1.31/1.20 X16)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl64, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.20 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.20 zip_derived_cl136, zip_derived_cl137, zip_derived_cl139,
% 1.31/1.20 zip_derived_cl141, zip_derived_cl150, zip_derived_cl160])).
% 1.31/1.20 thf(zip_derived_cl168, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.31/1.20 X14 : $i, X15 : $i, X16 : $i, X17 : $i]:
% 1.31/1.20 (ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 1.31/1.20 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @
% 1.31/1.20 X15 @ X16 @ X17)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl63, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.20 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.20 zip_derived_cl136, zip_derived_cl137, zip_derived_cl139,
% 1.31/1.20 zip_derived_cl141, zip_derived_cl150, zip_derived_cl160,
% 1.31/1.20 zip_derived_cl167])).
% 1.31/1.20 thf(zip_derived_cl171, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.31/1.20 X14 : $i, X15 : $i, X16 : $i, X17 : $i, X18 : $i]:
% 1.31/1.20 (ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 1.31/1.20 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @
% 1.31/1.20 X15 @ X16 @ X17 @ X18)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl61, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.20 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.20 zip_derived_cl136, zip_derived_cl137, zip_derived_cl139,
% 1.31/1.20 zip_derived_cl141, zip_derived_cl150, zip_derived_cl160,
% 1.31/1.20 zip_derived_cl167, zip_derived_cl168])).
% 1.31/1.20 thf(zip_derived_cl172, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.31/1.20 X14 : $i, X15 : $i, X16 : $i, X17 : $i, X18 : $i, X19 : $i]:
% 1.31/1.20 (ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 1.31/1.20 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @
% 1.31/1.20 X15 @ X16 @ X17 @ X18 @ X19)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl57, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.20 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.20 zip_derived_cl136, zip_derived_cl137, zip_derived_cl139,
% 1.31/1.20 zip_derived_cl141, zip_derived_cl150, zip_derived_cl160,
% 1.31/1.20 zip_derived_cl167, zip_derived_cl168, zip_derived_cl171])).
% 1.31/1.20 thf(zip_derived_cl186, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.31/1.20 X14 : $i, X15 : $i, X16 : $i, X17 : $i, X18 : $i, X19 : $i, X20 : $i]:
% 1.31/1.20 (ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @
% 1.31/1.20 X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 1.31/1.20 X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl52, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.20 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.20 zip_derived_cl136, zip_derived_cl137, zip_derived_cl139,
% 1.31/1.20 zip_derived_cl141, zip_derived_cl150, zip_derived_cl160,
% 1.31/1.20 zip_derived_cl167, zip_derived_cl168, zip_derived_cl171,
% 1.31/1.20 zip_derived_cl172])).
% 1.31/1.20 thf(zip_derived_cl210, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.31/1.20 X14 : $i, X15 : $i, X16 : $i, X17 : $i, X18 : $i, X19 : $i, X20 : $i,
% 1.31/1.20 X21 : $i]:
% 1.31/1.20 (ssNder1_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @
% 1.31/1.20 X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 1.31/1.20 X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl45, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.20 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.20 zip_derived_cl136, zip_derived_cl137, zip_derived_cl139,
% 1.31/1.20 zip_derived_cl141, zip_derived_cl150, zip_derived_cl160,
% 1.31/1.20 zip_derived_cl167, zip_derived_cl168, zip_derived_cl171,
% 1.31/1.20 zip_derived_cl172, zip_derived_cl186])).
% 1.31/1.20 thf(zip_derived_cl222, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.31/1.20 X14 : $i, X15 : $i, X16 : $i, X17 : $i, X18 : $i, X19 : $i, X20 : $i,
% 1.31/1.20 X21 : $i, X22 : $i]:
% 1.31/1.20 (ssPv5_24r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @
% 1.31/1.20 X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @
% 1.31/1.20 X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ skc24)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl38, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.20 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.20 zip_derived_cl136, zip_derived_cl137, zip_derived_cl139,
% 1.31/1.20 zip_derived_cl141, zip_derived_cl150, zip_derived_cl160,
% 1.31/1.20 zip_derived_cl167, zip_derived_cl168, zip_derived_cl171,
% 1.31/1.20 zip_derived_cl172, zip_derived_cl186, zip_derived_cl210])).
% 1.31/1.20 thf(clause75, conjecture,
% 1.31/1.20 (~( ( ssPv20_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) |
% 1.31/1.20 ( ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) |
% 1.31/1.20 ( ssPv8_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 1.31/1.20 X10 @ X11 @ X12 @ X13 @ X14 @ X15 ) |
% 1.31/1.20 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.31/1.20 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 1.31/1.20 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.31/1.20 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.31/1.20 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.31/1.20 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 1.31/1.20 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 1.31/1.20 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 1.31/1.20 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 1.31/1.20 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 1.31/1.20 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 1.31/1.20 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 1.31/1.20 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 1.31/1.20 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 1.31/1.20 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 1.31/1.20 ( ~( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 1.31/1.20 X9 @ X10 ) ) |
% 1.31/1.20 ( ~( ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 1.31/1.20 X9 @ X10 @ X11 ) ) |
% 1.31/1.20 ( ~( ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 1.31/1.20 X9 @ X10 @ X11 @ X12 ) ) |
% 1.31/1.20 ( ~( ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 1.31/1.20 X9 @ X10 @ X11 @ X12 @ X13 ) ) |
% 1.31/1.20 ( ~( ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 1.31/1.20 X9 @ X10 @ X11 @ X12 @ X13 @ X14 ) ) |
% 1.31/1.20 ( ~( ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 1.31/1.20 X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 ) ) |
% 1.31/1.20 ( ~( ssNder1_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 1.31/1.20 X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 ) ) |
% 1.31/1.20 ( ~( ssPv5_24r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 1.31/1.20 X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 ) ) |
% 1.31/1.20 ( ~( ssNder1_23r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 1.31/1.20 X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 ) ) ))).
% 1.31/1.20 thf(zf_stmt_27, negated_conjecture,
% 1.31/1.20 (( ssPv20_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) |
% 1.31/1.20 ( ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) |
% 1.31/1.20 ( ssPv8_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 1.31/1.20 X10 @ X11 @ X12 @ X13 @ X14 @ X15 ) |
% 1.31/1.20 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.31/1.20 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.31/1.20 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.31/1.20 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.31/1.20 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 1.31/1.20 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 1.31/1.20 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 1.31/1.20 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 1.31/1.20 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 1.31/1.20 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 1.31/1.20 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 1.31/1.20 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 1.31/1.20 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 1.31/1.20 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 1.31/1.20 ( ~( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 1.31/1.20 X10 ) ) |
% 1.31/1.20 ( ~( ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 1.31/1.20 X10 @ X11 ) ) |
% 1.31/1.20 ( ~( ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 1.31/1.20 X10 @ X11 @ X12 ) ) |
% 1.31/1.20 ( ~( ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 1.31/1.20 X10 @ X11 @ X12 @ X13 ) ) |
% 1.31/1.20 ( ~( ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 1.31/1.20 X10 @ X11 @ X12 @ X13 @ X14 ) ) |
% 1.31/1.20 ( ~( ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 1.31/1.20 X10 @ X11 @ X12 @ X13 @ X14 @ X15 ) ) |
% 1.31/1.20 ( ~( ssNder1_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 1.31/1.20 X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 ) ) |
% 1.31/1.20 ( ~( ssPv5_24r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 1.31/1.20 X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 ) ) |
% 1.31/1.20 ( ~( ssNder1_23r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 1.31/1.20 X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 ) )),
% 1.31/1.20 inference('cnf.neg', [status(esa)], [clause75])).
% 1.31/1.20 thf(zip_derived_cl27, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.31/1.20 X14 : $i, X15 : $i, X16 : $i, X17 : $i, X18 : $i, X19 : $i, X20 : $i,
% 1.31/1.20 X21 : $i, X22 : $i, X23 : $i]:
% 1.31/1.20 ( (ssPv20_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.31/1.20 X7 @ X8)
% 1.31/1.20 | (ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.31/1.20 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 1.31/1.20 | (ssPv8_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @
% 1.31/1.20 X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 1.31/1.20 X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20)
% 1.31/1.20 | ~ (ssNder1_0)
% 1.31/1.20 | ~ (ssNder1_1r1 @ X0)
% 1.31/1.20 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 1.31/1.20 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 1.31/1.20 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 1.31/1.20 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 1.31/1.20 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 1.31/1.20 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 1.31/1.20 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.31/1.20 X7)
% 1.31/1.20 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.31/1.20 X6 @ X7 @ X8)
% 1.31/1.20 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.31/1.20 X6 @ X7 @ X8 @ X9)
% 1.31/1.20 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.31/1.20 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 1.31/1.20 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.31/1.20 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 1.31/1.20 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.31/1.20 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 1.31/1.20 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 1.31/1.20 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 1.31/1.20 | ~ (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 1.31/1.20 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 1.31/1.20 | ~ (ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 1.31/1.20 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 1.31/1.20 X14 @ X15)
% 1.31/1.20 | ~ (ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 1.31/1.20 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 1.31/1.20 X14 @ X15 @ X16)
% 1.31/1.20 | ~ (ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 1.31/1.20 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 1.31/1.20 X14 @ X15 @ X16 @ X17)
% 1.31/1.20 | ~ (ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @
% 1.31/1.20 X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 1.31/1.20 X14 @ X15 @ X16 @ X17 @ X18)
% 1.31/1.20 | ~ (ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @
% 1.31/1.20 X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 1.31/1.20 X14 @ X15 @ X16 @ X17 @ X18 @ X19)
% 1.31/1.20 | ~ (ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @
% 1.31/1.20 X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @
% 1.31/1.20 X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20)
% 1.31/1.20 | ~ (ssNder1_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @
% 1.31/1.20 X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @
% 1.31/1.20 X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21)
% 1.31/1.20 | ~ (ssPv5_24r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @
% 1.31/1.20 X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @
% 1.31/1.20 X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23)
% 1.31/1.20 | ~ (ssNder1_23r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @
% 1.31/1.20 X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @
% 1.31/1.20 X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22))),
% 1.31/1.20 inference('cnf', [status(esa)], [zf_stmt_27])).
% 1.31/1.20 thf(zip_derived_cl101, plain, ( (ssNder1_0)),
% 1.31/1.20 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.31/1.20 thf(zip_derived_cl107, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 1.31/1.20 inference('demod', [status(thm)], [zip_derived_cl100, zip_derived_cl101])).
% 1.31/1.20 thf(zip_derived_cl108, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl99, zip_derived_cl101, zip_derived_cl107])).
% 1.31/1.20 thf(zip_derived_cl109, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl98, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108])).
% 1.31/1.20 thf(zip_derived_cl110, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.31/1.20 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl97, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109])).
% 1.31/1.20 thf(zip_derived_cl112, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.31/1.20 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl94, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110])).
% 1.31/1.20 thf(zip_derived_cl114, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.31/1.20 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl91, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112])).
% 1.31/1.20 thf(zip_derived_cl121, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 1.31/1.20 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl88, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114])).
% 1.31/1.20 thf(zip_derived_cl122, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 1.31/1.20 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl85, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121])).
% 1.31/1.20 thf(zip_derived_cl123, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i]:
% 1.31/1.20 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.31/1.20 X7 @ X8)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl84, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.20 zip_derived_cl122])).
% 1.31/1.20 thf(zip_derived_cl129, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i, X9 : $i]:
% 1.31/1.20 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.31/1.20 X7 @ X8 @ X9)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl83, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.20 zip_derived_cl122, zip_derived_cl123])).
% 1.31/1.20 thf(zip_derived_cl136, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 1.31/1.20 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.31/1.20 X6 @ X7 @ X8 @ X9 @ X10)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl81, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.20 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129])).
% 1.31/1.20 thf(zip_derived_cl137, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 1.31/1.20 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.31/1.20 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl80, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.20 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.20 zip_derived_cl136])).
% 1.31/1.20 thf(zip_derived_cl139, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 1.31/1.20 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.31/1.20 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl77, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.20 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.20 zip_derived_cl136, zip_derived_cl137])).
% 1.31/1.20 thf(zip_derived_cl141, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 1.31/1.20 (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.31/1.20 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl74, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.20 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.20 zip_derived_cl136, zip_derived_cl137, zip_derived_cl139])).
% 1.31/1.20 thf(zip_derived_cl150, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.31/1.20 X14 : $i]:
% 1.31/1.20 (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.31/1.20 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl70, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.20 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.20 zip_derived_cl136, zip_derived_cl137, zip_derived_cl139,
% 1.31/1.20 zip_derived_cl141])).
% 1.31/1.20 thf(zip_derived_cl160, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.31/1.20 X14 : $i, X15 : $i]:
% 1.31/1.20 (ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 1.31/1.20 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl67, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.20 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.20 zip_derived_cl136, zip_derived_cl137, zip_derived_cl139,
% 1.31/1.20 zip_derived_cl141, zip_derived_cl150])).
% 1.31/1.20 thf(zip_derived_cl167, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.31/1.20 X14 : $i, X15 : $i, X16 : $i]:
% 1.31/1.20 (ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 1.31/1.20 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @
% 1.31/1.20 X16)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl64, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.20 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.20 zip_derived_cl136, zip_derived_cl137, zip_derived_cl139,
% 1.31/1.20 zip_derived_cl141, zip_derived_cl150, zip_derived_cl160])).
% 1.31/1.20 thf(zip_derived_cl168, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.31/1.20 X14 : $i, X15 : $i, X16 : $i, X17 : $i]:
% 1.31/1.20 (ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 1.31/1.20 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @
% 1.31/1.20 X15 @ X16 @ X17)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl63, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.20 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.20 zip_derived_cl136, zip_derived_cl137, zip_derived_cl139,
% 1.31/1.20 zip_derived_cl141, zip_derived_cl150, zip_derived_cl160,
% 1.31/1.20 zip_derived_cl167])).
% 1.31/1.20 thf(zip_derived_cl171, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.31/1.20 X14 : $i, X15 : $i, X16 : $i, X17 : $i, X18 : $i]:
% 1.31/1.20 (ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 1.31/1.20 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @
% 1.31/1.20 X15 @ X16 @ X17 @ X18)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl61, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.20 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.20 zip_derived_cl136, zip_derived_cl137, zip_derived_cl139,
% 1.31/1.20 zip_derived_cl141, zip_derived_cl150, zip_derived_cl160,
% 1.31/1.20 zip_derived_cl167, zip_derived_cl168])).
% 1.31/1.20 thf(zip_derived_cl172, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.31/1.20 X14 : $i, X15 : $i, X16 : $i, X17 : $i, X18 : $i, X19 : $i]:
% 1.31/1.20 (ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 1.31/1.20 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @
% 1.31/1.20 X15 @ X16 @ X17 @ X18 @ X19)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl57, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.20 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.20 zip_derived_cl136, zip_derived_cl137, zip_derived_cl139,
% 1.31/1.20 zip_derived_cl141, zip_derived_cl150, zip_derived_cl160,
% 1.31/1.20 zip_derived_cl167, zip_derived_cl168, zip_derived_cl171])).
% 1.31/1.20 thf(zip_derived_cl186, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.31/1.20 X14 : $i, X15 : $i, X16 : $i, X17 : $i, X18 : $i, X19 : $i, X20 : $i]:
% 1.31/1.20 (ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @
% 1.31/1.20 X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 1.31/1.20 X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl52, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.20 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.20 zip_derived_cl136, zip_derived_cl137, zip_derived_cl139,
% 1.31/1.20 zip_derived_cl141, zip_derived_cl150, zip_derived_cl160,
% 1.31/1.20 zip_derived_cl167, zip_derived_cl168, zip_derived_cl171,
% 1.31/1.20 zip_derived_cl172])).
% 1.31/1.20 thf(zip_derived_cl210, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.31/1.20 X14 : $i, X15 : $i, X16 : $i, X17 : $i, X18 : $i, X19 : $i, X20 : $i,
% 1.31/1.20 X21 : $i]:
% 1.31/1.20 (ssNder1_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @
% 1.31/1.20 X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 1.31/1.20 X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl45, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.20 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.20 zip_derived_cl136, zip_derived_cl137, zip_derived_cl139,
% 1.31/1.20 zip_derived_cl141, zip_derived_cl150, zip_derived_cl160,
% 1.31/1.20 zip_derived_cl167, zip_derived_cl168, zip_derived_cl171,
% 1.31/1.20 zip_derived_cl172, zip_derived_cl186])).
% 1.31/1.20 thf(clause63, conjecture,
% 1.31/1.20 (~( ( ssNder1_23r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 1.31/1.20 X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 ) |
% 1.31/1.20 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.31/1.20 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 1.31/1.20 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.31/1.20 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.31/1.20 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.31/1.20 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 1.31/1.20 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 1.31/1.20 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 1.31/1.20 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 1.31/1.20 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 1.31/1.20 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 1.31/1.20 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 1.31/1.20 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 1.31/1.20 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 1.31/1.20 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 1.31/1.20 ( ~( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 1.31/1.20 X9 @ X10 ) ) |
% 1.31/1.20 ( ~( ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 1.31/1.20 X9 @ X10 @ X11 ) ) |
% 1.31/1.20 ( ~( ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 1.31/1.20 X9 @ X10 @ X11 @ X12 ) ) |
% 1.31/1.20 ( ~( ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 1.31/1.20 X9 @ X10 @ X11 @ X12 @ X13 ) ) |
% 1.31/1.20 ( ~( ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 1.31/1.20 X9 @ X10 @ X11 @ X12 @ X13 @ X14 ) ) |
% 1.31/1.20 ( ~( ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 1.31/1.20 X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 ) ) |
% 1.31/1.20 ( ~( ssNder1_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 1.31/1.20 X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 ) ) ))).
% 1.31/1.20 thf(zf_stmt_28, negated_conjecture,
% 1.31/1.20 (( ssNder1_23r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 1.31/1.20 X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 ) |
% 1.31/1.20 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.31/1.20 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.31/1.20 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.31/1.20 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.31/1.20 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 1.31/1.20 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 1.31/1.20 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 1.31/1.20 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 1.31/1.20 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 1.31/1.20 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 1.31/1.20 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 1.31/1.20 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 1.31/1.20 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 1.31/1.20 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 1.31/1.20 ( ~( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 1.31/1.20 X10 ) ) |
% 1.31/1.20 ( ~( ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 1.31/1.20 X10 @ X11 ) ) |
% 1.31/1.20 ( ~( ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 1.31/1.20 X10 @ X11 @ X12 ) ) |
% 1.31/1.20 ( ~( ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 1.31/1.20 X10 @ X11 @ X12 @ X13 ) ) |
% 1.31/1.20 ( ~( ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 1.31/1.20 X10 @ X11 @ X12 @ X13 @ X14 ) ) |
% 1.31/1.20 ( ~( ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 1.31/1.20 X10 @ X11 @ X12 @ X13 @ X14 @ X15 ) ) |
% 1.31/1.20 ( ~( ssNder1_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 1.31/1.20 X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 ) )),
% 1.31/1.20 inference('cnf.neg', [status(esa)], [clause63])).
% 1.31/1.20 thf(zip_derived_cl39, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.31/1.20 X14 : $i, X15 : $i, X16 : $i, X17 : $i, X18 : $i, X19 : $i, X20 : $i,
% 1.31/1.20 X21 : $i, X22 : $i]:
% 1.31/1.20 ( (ssNder1_23r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @
% 1.31/1.20 X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @
% 1.31/1.20 X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22)
% 1.31/1.20 | ~ (ssNder1_0)
% 1.31/1.20 | ~ (ssNder1_1r1 @ X0)
% 1.31/1.20 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 1.31/1.20 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 1.31/1.20 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 1.31/1.20 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 1.31/1.20 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 1.31/1.20 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 1.31/1.20 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.31/1.20 X7)
% 1.31/1.20 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.31/1.20 X6 @ X7 @ X8)
% 1.31/1.20 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.31/1.20 X6 @ X7 @ X8 @ X9)
% 1.31/1.20 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.31/1.20 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 1.31/1.20 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.31/1.20 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 1.31/1.20 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.31/1.20 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 1.31/1.20 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 1.31/1.20 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 1.31/1.20 | ~ (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 1.31/1.20 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 1.31/1.20 | ~ (ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 1.31/1.20 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 1.31/1.20 X14 @ X15)
% 1.31/1.20 | ~ (ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 1.31/1.20 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 1.31/1.20 X14 @ X15 @ X16)
% 1.31/1.20 | ~ (ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 1.31/1.20 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 1.31/1.20 X14 @ X15 @ X16 @ X17)
% 1.31/1.20 | ~ (ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @
% 1.31/1.20 X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 1.31/1.20 X14 @ X15 @ X16 @ X17 @ X18)
% 1.31/1.20 | ~ (ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @
% 1.31/1.20 X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 1.31/1.20 X14 @ X15 @ X16 @ X17 @ X18 @ X19)
% 1.31/1.20 | ~ (ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @
% 1.31/1.20 X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @
% 1.31/1.20 X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20)
% 1.31/1.20 | ~ (ssNder1_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @
% 1.31/1.20 X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @
% 1.31/1.20 X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21))),
% 1.31/1.20 inference('cnf', [status(esa)], [zf_stmt_28])).
% 1.31/1.20 thf(zip_derived_cl101, plain, ( (ssNder1_0)),
% 1.31/1.20 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.31/1.20 thf(zip_derived_cl107, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 1.31/1.20 inference('demod', [status(thm)], [zip_derived_cl100, zip_derived_cl101])).
% 1.31/1.20 thf(zip_derived_cl108, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl99, zip_derived_cl101, zip_derived_cl107])).
% 1.31/1.20 thf(zip_derived_cl109, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl98, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108])).
% 1.31/1.20 thf(zip_derived_cl110, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.31/1.20 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl97, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109])).
% 1.31/1.20 thf(zip_derived_cl112, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.31/1.20 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl94, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110])).
% 1.31/1.20 thf(zip_derived_cl114, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.31/1.20 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl91, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112])).
% 1.31/1.20 thf(zip_derived_cl121, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 1.31/1.20 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl88, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114])).
% 1.31/1.20 thf(zip_derived_cl122, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 1.31/1.20 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl85, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121])).
% 1.31/1.20 thf(zip_derived_cl123, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i]:
% 1.31/1.20 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.31/1.20 X7 @ X8)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl84, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.20 zip_derived_cl122])).
% 1.31/1.20 thf(zip_derived_cl129, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i, X9 : $i]:
% 1.31/1.20 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.31/1.20 X7 @ X8 @ X9)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl83, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.20 zip_derived_cl122, zip_derived_cl123])).
% 1.31/1.20 thf(zip_derived_cl136, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 1.31/1.20 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.31/1.20 X6 @ X7 @ X8 @ X9 @ X10)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl81, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.20 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129])).
% 1.31/1.20 thf(zip_derived_cl137, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 1.31/1.20 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.31/1.20 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl80, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.20 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.20 zip_derived_cl136])).
% 1.31/1.20 thf(zip_derived_cl139, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 1.31/1.20 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.31/1.20 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl77, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.20 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.20 zip_derived_cl136, zip_derived_cl137])).
% 1.31/1.20 thf(zip_derived_cl141, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 1.31/1.20 (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.31/1.20 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl74, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.20 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.20 zip_derived_cl136, zip_derived_cl137, zip_derived_cl139])).
% 1.31/1.20 thf(zip_derived_cl150, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.31/1.20 X14 : $i]:
% 1.31/1.20 (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.31/1.20 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl70, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.20 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.20 zip_derived_cl136, zip_derived_cl137, zip_derived_cl139,
% 1.31/1.20 zip_derived_cl141])).
% 1.31/1.20 thf(zip_derived_cl160, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.31/1.20 X14 : $i, X15 : $i]:
% 1.31/1.20 (ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 1.31/1.20 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl67, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.20 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.20 zip_derived_cl136, zip_derived_cl137, zip_derived_cl139,
% 1.31/1.20 zip_derived_cl141, zip_derived_cl150])).
% 1.31/1.20 thf(zip_derived_cl167, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.31/1.20 X14 : $i, X15 : $i, X16 : $i]:
% 1.31/1.20 (ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 1.31/1.20 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @
% 1.31/1.20 X16)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl64, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.20 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.20 zip_derived_cl136, zip_derived_cl137, zip_derived_cl139,
% 1.31/1.20 zip_derived_cl141, zip_derived_cl150, zip_derived_cl160])).
% 1.31/1.20 thf(zip_derived_cl168, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.31/1.20 X14 : $i, X15 : $i, X16 : $i, X17 : $i]:
% 1.31/1.20 (ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 1.31/1.20 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @
% 1.31/1.20 X15 @ X16 @ X17)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl63, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.20 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.20 zip_derived_cl136, zip_derived_cl137, zip_derived_cl139,
% 1.31/1.20 zip_derived_cl141, zip_derived_cl150, zip_derived_cl160,
% 1.31/1.20 zip_derived_cl167])).
% 1.31/1.20 thf(zip_derived_cl171, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.31/1.20 X14 : $i, X15 : $i, X16 : $i, X17 : $i, X18 : $i]:
% 1.31/1.20 (ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 1.31/1.20 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @
% 1.31/1.20 X15 @ X16 @ X17 @ X18)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl61, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.20 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.20 zip_derived_cl136, zip_derived_cl137, zip_derived_cl139,
% 1.31/1.20 zip_derived_cl141, zip_derived_cl150, zip_derived_cl160,
% 1.31/1.20 zip_derived_cl167, zip_derived_cl168])).
% 1.31/1.20 thf(zip_derived_cl172, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.31/1.20 X14 : $i, X15 : $i, X16 : $i, X17 : $i, X18 : $i, X19 : $i]:
% 1.31/1.20 (ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 1.31/1.20 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @
% 1.31/1.20 X15 @ X16 @ X17 @ X18 @ X19)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl57, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.20 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.20 zip_derived_cl136, zip_derived_cl137, zip_derived_cl139,
% 1.31/1.20 zip_derived_cl141, zip_derived_cl150, zip_derived_cl160,
% 1.31/1.20 zip_derived_cl167, zip_derived_cl168, zip_derived_cl171])).
% 1.31/1.20 thf(zip_derived_cl186, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.31/1.20 X14 : $i, X15 : $i, X16 : $i, X17 : $i, X18 : $i, X19 : $i, X20 : $i]:
% 1.31/1.20 (ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @
% 1.31/1.20 X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 1.31/1.20 X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl52, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.20 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.20 zip_derived_cl136, zip_derived_cl137, zip_derived_cl139,
% 1.31/1.20 zip_derived_cl141, zip_derived_cl150, zip_derived_cl160,
% 1.31/1.20 zip_derived_cl167, zip_derived_cl168, zip_derived_cl171,
% 1.31/1.20 zip_derived_cl172])).
% 1.31/1.20 thf(zip_derived_cl210, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.31/1.20 X14 : $i, X15 : $i, X16 : $i, X17 : $i, X18 : $i, X19 : $i, X20 : $i,
% 1.31/1.20 X21 : $i]:
% 1.31/1.20 (ssNder1_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @
% 1.31/1.20 X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 1.31/1.20 X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl45, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.20 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.20 zip_derived_cl136, zip_derived_cl137, zip_derived_cl139,
% 1.31/1.20 zip_derived_cl141, zip_derived_cl150, zip_derived_cl160,
% 1.31/1.20 zip_derived_cl167, zip_derived_cl168, zip_derived_cl171,
% 1.31/1.20 zip_derived_cl172, zip_derived_cl186])).
% 1.31/1.20 thf(zip_derived_cl221, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.31/1.20 X14 : $i, X15 : $i, X16 : $i, X17 : $i, X18 : $i, X19 : $i, X20 : $i,
% 1.31/1.20 X21 : $i, X22 : $i]:
% 1.31/1.20 (ssNder1_23r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @
% 1.31/1.20 X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @
% 1.31/1.20 X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl39, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.20 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.20 zip_derived_cl136, zip_derived_cl137, zip_derived_cl139,
% 1.31/1.20 zip_derived_cl141, zip_derived_cl150, zip_derived_cl160,
% 1.31/1.20 zip_derived_cl167, zip_derived_cl168, zip_derived_cl171,
% 1.31/1.20 zip_derived_cl172, zip_derived_cl186, zip_derived_cl210])).
% 1.31/1.20 thf(zip_derived_cl317, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.31/1.20 X14 : $i, X15 : $i, X16 : $i, X17 : $i, X18 : $i, X19 : $i, X20 : $i,
% 1.31/1.20 X21 : $i, X22 : $i, X23 : $i]:
% 1.31/1.20 ( (ssPv20_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.31/1.20 X7 @ X8)
% 1.31/1.20 | (ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.31/1.20 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 1.31/1.20 | (ssPv8_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @
% 1.31/1.20 X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 1.31/1.20 X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20)
% 1.31/1.20 | ~ (ssPv5_24r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @
% 1.31/1.20 X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @
% 1.31/1.20 X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23))),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl27, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.20 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.20 zip_derived_cl136, zip_derived_cl137, zip_derived_cl139,
% 1.31/1.20 zip_derived_cl141, zip_derived_cl150, zip_derived_cl160,
% 1.31/1.20 zip_derived_cl167, zip_derived_cl168, zip_derived_cl171,
% 1.31/1.20 zip_derived_cl172, zip_derived_cl186, zip_derived_cl210,
% 1.31/1.20 zip_derived_cl221])).
% 1.31/1.20 thf(zip_derived_cl318, plain,
% 1.31/1.20 (![X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i, X8 : $i,
% 1.31/1.20 X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i, X14 : $i, X15 : $i,
% 1.31/1.20 X16 : $i, X17 : $i, X18 : $i, X19 : $i, X20 : $i, X21 : $i, X22 : $i]:
% 1.31/1.20 ( (ssPv8_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X22 @ X21 @
% 1.31/1.20 X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @
% 1.31/1.20 X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2)
% 1.31/1.20 | (ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X22 @ X21 @ X20 @ X19 @
% 1.31/1.20 X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11)
% 1.31/1.20 | (ssPv20_9r1r1r1r1r1r1r1r1r1 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @
% 1.31/1.20 X16 @ X15 @ X14))),
% 1.31/1.20 inference('sup-', [status(thm)], [zip_derived_cl222, zip_derived_cl317])).
% 1.31/1.20 thf(clause47, conjecture,
% 1.31/1.20 (~( ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.31/1.20 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 1.31/1.20 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.31/1.20 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.31/1.20 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.31/1.20 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 1.31/1.20 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 1.31/1.20 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 1.31/1.20 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 1.31/1.20 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 1.31/1.20 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 1.31/1.20 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 1.31/1.20 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 1.31/1.20 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 1.31/1.20 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 1.31/1.20 ( ~( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 1.31/1.20 X9 @ X10 ) ) |
% 1.31/1.20 ( ~( ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 1.31/1.20 X9 @ X10 @ X11 ) ) |
% 1.31/1.20 ( ~( ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 1.31/1.20 X9 @ X10 @ X11 @ X12 ) ) |
% 1.31/1.20 ( ~( ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 1.31/1.20 X9 @ X10 @ X11 @ X12 @ X13 ) ) |
% 1.31/1.20 ( ~( ssPv8_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 1.31/1.20 X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ skc31 ) ) ))).
% 1.31/1.20 thf(zf_stmt_29, negated_conjecture,
% 1.31/1.20 (( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.31/1.20 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.31/1.20 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.31/1.20 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.31/1.20 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 1.31/1.20 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 1.31/1.20 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 1.31/1.20 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 1.31/1.20 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 1.31/1.20 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 1.31/1.20 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 1.31/1.20 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 1.31/1.20 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 1.31/1.20 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 1.31/1.20 ( ~( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 1.31/1.20 X10 ) ) |
% 1.31/1.20 ( ~( ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 1.31/1.20 X10 @ X11 ) ) |
% 1.31/1.20 ( ~( ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 1.31/1.20 X10 @ X11 @ X12 ) ) |
% 1.31/1.20 ( ~( ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 1.31/1.20 X10 @ X11 @ X12 @ X13 ) ) |
% 1.31/1.20 ( ~( ssPv8_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 1.31/1.20 X10 @ X11 @ X12 @ X13 @ X14 @ skc31 ) )),
% 1.31/1.20 inference('cnf.neg', [status(esa)], [clause47])).
% 1.31/1.20 thf(zip_derived_cl55, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.31/1.20 X14 : $i, X15 : $i, X16 : $i, X17 : $i, X18 : $i, X19 : $i]:
% 1.31/1.20 (~ (ssNder1_0)
% 1.31/1.20 | ~ (ssNder1_1r1 @ X0)
% 1.31/1.20 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 1.31/1.20 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 1.31/1.20 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 1.31/1.20 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 1.31/1.20 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 1.31/1.20 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 1.31/1.20 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.31/1.20 X7)
% 1.31/1.20 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.31/1.20 X6 @ X7 @ X8)
% 1.31/1.20 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.31/1.20 X6 @ X7 @ X8 @ X9)
% 1.31/1.20 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.31/1.20 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 1.31/1.20 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.31/1.20 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 1.31/1.20 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.31/1.20 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 1.31/1.20 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 1.31/1.20 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 1.31/1.20 | ~ (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 1.31/1.20 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 1.31/1.20 | ~ (ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 1.31/1.20 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 1.31/1.20 X14 @ X15)
% 1.31/1.20 | ~ (ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 1.31/1.20 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 1.31/1.20 X14 @ X15 @ X16)
% 1.31/1.20 | ~ (ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 1.31/1.20 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 1.31/1.20 X14 @ X15 @ X16 @ X17)
% 1.31/1.20 | ~ (ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @
% 1.31/1.20 X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 1.31/1.20 X14 @ X15 @ X16 @ X17 @ X18)
% 1.31/1.20 | ~ (ssPv8_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @
% 1.31/1.20 X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 1.31/1.20 X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ skc31))),
% 1.31/1.20 inference('cnf', [status(esa)], [zf_stmt_29])).
% 1.31/1.20 thf(zip_derived_cl101, plain, ( (ssNder1_0)),
% 1.31/1.20 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.31/1.20 thf(zip_derived_cl107, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 1.31/1.20 inference('demod', [status(thm)], [zip_derived_cl100, zip_derived_cl101])).
% 1.31/1.20 thf(zip_derived_cl108, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl99, zip_derived_cl101, zip_derived_cl107])).
% 1.31/1.20 thf(zip_derived_cl109, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl98, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108])).
% 1.31/1.20 thf(zip_derived_cl110, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.31/1.20 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl97, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109])).
% 1.31/1.20 thf(zip_derived_cl112, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.31/1.20 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl94, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110])).
% 1.31/1.20 thf(zip_derived_cl114, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.31/1.20 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl91, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112])).
% 1.31/1.20 thf(zip_derived_cl121, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 1.31/1.20 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl88, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114])).
% 1.31/1.20 thf(zip_derived_cl122, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 1.31/1.20 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl85, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121])).
% 1.31/1.20 thf(zip_derived_cl123, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i]:
% 1.31/1.20 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.31/1.20 X7 @ X8)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl84, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.20 zip_derived_cl122])).
% 1.31/1.20 thf(zip_derived_cl129, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i, X9 : $i]:
% 1.31/1.20 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.31/1.20 X7 @ X8 @ X9)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl83, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.20 zip_derived_cl122, zip_derived_cl123])).
% 1.31/1.20 thf(zip_derived_cl136, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 1.31/1.20 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.31/1.20 X6 @ X7 @ X8 @ X9 @ X10)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl81, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.20 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129])).
% 1.31/1.20 thf(zip_derived_cl137, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 1.31/1.20 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.31/1.20 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl80, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.20 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.20 zip_derived_cl136])).
% 1.31/1.20 thf(zip_derived_cl139, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 1.31/1.20 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.31/1.20 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl77, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.20 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.20 zip_derived_cl136, zip_derived_cl137])).
% 1.31/1.20 thf(zip_derived_cl141, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 1.31/1.20 (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.31/1.20 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl74, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.20 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.20 zip_derived_cl136, zip_derived_cl137, zip_derived_cl139])).
% 1.31/1.20 thf(zip_derived_cl150, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.31/1.20 X14 : $i]:
% 1.31/1.20 (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.31/1.20 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl70, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.20 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.20 zip_derived_cl136, zip_derived_cl137, zip_derived_cl139,
% 1.31/1.20 zip_derived_cl141])).
% 1.31/1.20 thf(zip_derived_cl154, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.31/1.20 X14 : $i, X15 : $i, X16 : $i, X17 : $i, X18 : $i, X19 : $i]:
% 1.31/1.20 (~ (ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 1.31/1.20 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15)
% 1.31/1.20 | ~ (ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 1.31/1.20 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 1.31/1.20 X14 @ X15 @ X16)
% 1.31/1.20 | ~ (ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 1.31/1.20 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 1.31/1.20 X14 @ X15 @ X16 @ X17)
% 1.31/1.20 | ~ (ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @
% 1.31/1.20 X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 1.31/1.20 X14 @ X15 @ X16 @ X17 @ X18)
% 1.31/1.20 | ~ (ssPv8_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @
% 1.31/1.20 X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 1.31/1.20 X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ skc31))),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl55, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.20 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.20 zip_derived_cl136, zip_derived_cl137, zip_derived_cl139,
% 1.31/1.20 zip_derived_cl141, zip_derived_cl150])).
% 1.31/1.20 thf(zip_derived_cl160, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.31/1.20 X14 : $i, X15 : $i]:
% 1.31/1.20 (ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 1.31/1.20 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl67, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.20 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.20 zip_derived_cl136, zip_derived_cl137, zip_derived_cl139,
% 1.31/1.20 zip_derived_cl141, zip_derived_cl150])).
% 1.31/1.20 thf(zip_derived_cl163, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.31/1.20 X14 : $i, X15 : $i, X16 : $i, X17 : $i, X18 : $i, X19 : $i]:
% 1.31/1.20 (~ (ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 1.31/1.20 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @
% 1.31/1.20 X15 @ X16)
% 1.31/1.20 | ~ (ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 1.31/1.20 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 1.31/1.20 X14 @ X15 @ X16 @ X17)
% 1.31/1.20 | ~ (ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @
% 1.31/1.20 X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 1.31/1.20 X14 @ X15 @ X16 @ X17 @ X18)
% 1.31/1.20 | ~ (ssPv8_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @
% 1.31/1.20 X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 1.31/1.20 X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ skc31))),
% 1.31/1.20 inference('demod', [status(thm)], [zip_derived_cl154, zip_derived_cl160])).
% 1.31/1.20 thf(zip_derived_cl167, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.31/1.20 X14 : $i, X15 : $i, X16 : $i]:
% 1.31/1.20 (ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 1.31/1.20 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @
% 1.31/1.20 X16)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl64, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.20 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.20 zip_derived_cl136, zip_derived_cl137, zip_derived_cl139,
% 1.31/1.20 zip_derived_cl141, zip_derived_cl150, zip_derived_cl160])).
% 1.31/1.20 thf(zip_derived_cl168, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.31/1.20 X14 : $i, X15 : $i, X16 : $i, X17 : $i]:
% 1.31/1.20 (ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 1.31/1.20 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @
% 1.31/1.20 X15 @ X16 @ X17)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl63, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.20 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.20 zip_derived_cl136, zip_derived_cl137, zip_derived_cl139,
% 1.31/1.20 zip_derived_cl141, zip_derived_cl150, zip_derived_cl160,
% 1.31/1.20 zip_derived_cl167])).
% 1.31/1.20 thf(zip_derived_cl171, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.31/1.20 X14 : $i, X15 : $i, X16 : $i, X17 : $i, X18 : $i]:
% 1.31/1.20 (ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 1.31/1.20 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @
% 1.31/1.20 X15 @ X16 @ X17 @ X18)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl61, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.20 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.20 zip_derived_cl136, zip_derived_cl137, zip_derived_cl139,
% 1.31/1.20 zip_derived_cl141, zip_derived_cl150, zip_derived_cl160,
% 1.31/1.20 zip_derived_cl167, zip_derived_cl168])).
% 1.31/1.20 thf(zip_derived_cl176, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.31/1.20 X14 : $i, X15 : $i, X16 : $i, X17 : $i, X18 : $i, X19 : $i]:
% 1.31/1.20 ~ (ssPv8_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @
% 1.31/1.20 X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 1.31/1.20 X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ skc31)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl163, zip_derived_cl167, zip_derived_cl168,
% 1.31/1.20 zip_derived_cl171])).
% 1.31/1.20 thf(zip_derived_cl319, plain,
% 1.31/1.20 (![X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i, X14 : $i,
% 1.31/1.20 X15 : $i, X16 : $i, X17 : $i, X18 : $i, X19 : $i]:
% 1.31/1.20 ( (ssPv20_9r1r1r1r1r1r1r1r1r1 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @
% 1.31/1.20 X13 @ X12 @ X11)
% 1.31/1.20 | (ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X19 @ X18 @ X17 @ X16 @
% 1.31/1.20 X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8))),
% 1.31/1.20 inference('sup-', [status(thm)], [zip_derived_cl318, zip_derived_cl176])).
% 1.31/1.20 thf(clause36, conjecture,
% 1.31/1.20 (~( ( ssPv21_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) |
% 1.31/1.20 ( ssPv18_11r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) |
% 1.31/1.20 ( ssPv15_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) |
% 1.31/1.20 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.31/1.20 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 1.31/1.20 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.31/1.20 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.31/1.20 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.31/1.20 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 1.31/1.20 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 1.31/1.20 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 1.31/1.20 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 1.31/1.20 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 1.31/1.20 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 1.31/1.20 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 1.31/1.20 ( ~( ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 1.31/1.20 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) ))).
% 1.31/1.20 thf(zf_stmt_30, negated_conjecture,
% 1.31/1.20 (( ssPv21_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) |
% 1.31/1.20 ( ssPv18_11r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) |
% 1.31/1.20 ( ssPv15_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) |
% 1.31/1.20 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.31/1.20 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.31/1.20 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.31/1.20 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.31/1.20 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 1.31/1.20 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 1.31/1.20 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 1.31/1.20 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 1.31/1.20 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 1.31/1.20 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 1.31/1.20 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 1.31/1.20 ( ~( ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 1.31/1.20 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) )),
% 1.31/1.20 inference('cnf.neg', [status(esa)], [clause36])).
% 1.31/1.20 thf(zip_derived_cl66, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 1.31/1.20 ( (ssPv21_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)
% 1.31/1.20 | (ssPv18_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.31/1.20 X6 @ X7 @ X8 @ X9 @ X10)
% 1.31/1.20 | (ssPv15_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.31/1.20 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 1.31/1.20 | ~ (ssNder1_0)
% 1.31/1.20 | ~ (ssNder1_1r1 @ X0)
% 1.31/1.20 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 1.31/1.20 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 1.31/1.20 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 1.31/1.20 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 1.31/1.20 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 1.31/1.20 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 1.31/1.20 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.31/1.20 X7)
% 1.31/1.20 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.31/1.20 X6 @ X7 @ X8)
% 1.31/1.20 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.31/1.20 X6 @ X7 @ X8 @ X9)
% 1.31/1.20 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.31/1.20 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 1.31/1.20 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.31/1.20 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 1.31/1.20 | ~ (ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.31/1.20 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 1.31/1.20 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.31/1.20 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12))),
% 1.31/1.20 inference('cnf', [status(esa)], [zf_stmt_30])).
% 1.31/1.20 thf(zip_derived_cl101, plain, ( (ssNder1_0)),
% 1.31/1.20 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.31/1.20 thf(zip_derived_cl107, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 1.31/1.20 inference('demod', [status(thm)], [zip_derived_cl100, zip_derived_cl101])).
% 1.31/1.20 thf(zip_derived_cl108, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl99, zip_derived_cl101, zip_derived_cl107])).
% 1.31/1.20 thf(zip_derived_cl109, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl98, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108])).
% 1.31/1.20 thf(zip_derived_cl110, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.31/1.20 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl97, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109])).
% 1.31/1.20 thf(zip_derived_cl112, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.31/1.20 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl94, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110])).
% 1.31/1.20 thf(zip_derived_cl114, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.31/1.20 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl91, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112])).
% 1.31/1.20 thf(zip_derived_cl121, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 1.31/1.20 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl88, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114])).
% 1.31/1.20 thf(zip_derived_cl122, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 1.31/1.20 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl85, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121])).
% 1.31/1.20 thf(zip_derived_cl123, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i]:
% 1.31/1.20 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.31/1.20 X7 @ X8)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl84, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.20 zip_derived_cl122])).
% 1.31/1.20 thf(zip_derived_cl129, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i, X9 : $i]:
% 1.31/1.20 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.31/1.20 X7 @ X8 @ X9)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl83, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.20 zip_derived_cl122, zip_derived_cl123])).
% 1.31/1.20 thf(zip_derived_cl136, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 1.31/1.20 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.31/1.20 X6 @ X7 @ X8 @ X9 @ X10)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl81, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.20 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129])).
% 1.31/1.20 thf(zip_derived_cl137, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 1.31/1.20 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.31/1.20 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl80, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.20 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.20 zip_derived_cl136])).
% 1.31/1.20 thf(zip_derived_cl139, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 1.31/1.20 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.31/1.20 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl77, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.20 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.20 zip_derived_cl136, zip_derived_cl137])).
% 1.31/1.20 thf(zip_derived_cl152, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 1.31/1.20 ( (ssPv21_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)
% 1.31/1.20 | (ssPv18_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.31/1.20 X6 @ X7 @ X8 @ X9 @ X10)
% 1.31/1.20 | (ssPv15_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.31/1.20 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 1.31/1.20 | ~ (ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.31/1.20 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11))),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl66, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.20 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.20 zip_derived_cl136, zip_derived_cl137, zip_derived_cl139])).
% 1.31/1.20 thf(zip_derived_cl320, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 1.31/1.20 ( (ssPv20_9r1r1r1r1r1r1r1r1r1 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @
% 1.31/1.20 X4 @ X3)
% 1.31/1.20 | (ssPv15_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X11 @ X10 @ X9 @ X8 @
% 1.31/1.20 X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X13 @ X12)
% 1.31/1.20 | (ssPv18_11r1r1r1r1r1r1r1r1r1r1r1 @ X11 @ X10 @ X9 @ X8 @ X7 @
% 1.31/1.20 X6 @ X5 @ X4 @ X3 @ X2 @ X1)
% 1.31/1.20 | (ssPv21_8r1r1r1r1r1r1r1r1 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @
% 1.31/1.20 X4))),
% 1.31/1.20 inference('sup-', [status(thm)], [zip_derived_cl319, zip_derived_cl152])).
% 1.31/1.20 thf(clause27, conjecture,
% 1.31/1.20 (~( ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.31/1.20 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 1.31/1.20 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.31/1.20 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.31/1.20 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.31/1.20 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 1.31/1.20 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 1.31/1.20 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 1.31/1.20 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 1.31/1.20 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 1.31/1.20 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 1.31/1.20 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 1.31/1.20 ( ~( ssPv15_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ skc37 ) ) ))).
% 1.31/1.20 thf(zf_stmt_31, negated_conjecture,
% 1.31/1.20 (( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.31/1.20 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.31/1.20 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.31/1.20 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.31/1.20 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 1.31/1.20 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 1.31/1.20 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 1.31/1.20 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 1.31/1.20 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 1.31/1.20 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 1.31/1.20 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 1.31/1.20 ( ~( ssPv15_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ skc37 ) )),
% 1.31/1.20 inference('cnf.neg', [status(esa)], [clause27])).
% 1.31/1.20 thf(zip_derived_cl75, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 1.31/1.20 (~ (ssNder1_0)
% 1.31/1.20 | ~ (ssNder1_1r1 @ X0)
% 1.31/1.20 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 1.31/1.20 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 1.31/1.20 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 1.31/1.20 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 1.31/1.20 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 1.31/1.20 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 1.31/1.20 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.31/1.20 X7)
% 1.31/1.20 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.31/1.20 X6 @ X7 @ X8)
% 1.31/1.20 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.31/1.20 X6 @ X7 @ X8 @ X9)
% 1.31/1.20 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.31/1.20 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 1.31/1.20 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.31/1.20 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 1.31/1.20 | ~ (ssPv15_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 1.31/1.20 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ skc37))),
% 1.31/1.20 inference('cnf', [status(esa)], [zf_stmt_31])).
% 1.31/1.20 thf(zip_derived_cl101, plain, ( (ssNder1_0)),
% 1.31/1.20 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.31/1.20 thf(zip_derived_cl107, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 1.31/1.20 inference('demod', [status(thm)], [zip_derived_cl100, zip_derived_cl101])).
% 1.31/1.20 thf(zip_derived_cl108, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl99, zip_derived_cl101, zip_derived_cl107])).
% 1.31/1.20 thf(zip_derived_cl109, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl98, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108])).
% 1.31/1.20 thf(zip_derived_cl110, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.31/1.20 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl97, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109])).
% 1.31/1.20 thf(zip_derived_cl112, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.31/1.20 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl94, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110])).
% 1.31/1.20 thf(zip_derived_cl114, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.31/1.20 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl91, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112])).
% 1.31/1.20 thf(zip_derived_cl121, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 1.31/1.20 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl88, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114])).
% 1.31/1.20 thf(zip_derived_cl122, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 1.31/1.20 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl85, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121])).
% 1.31/1.20 thf(zip_derived_cl123, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i]:
% 1.31/1.20 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.31/1.20 X7 @ X8)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl84, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.20 zip_derived_cl122])).
% 1.31/1.20 thf(zip_derived_cl125, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 1.31/1.20 (~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.31/1.20 X6 @ X7 @ X8 @ X9)
% 1.31/1.20 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.31/1.20 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 1.31/1.20 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.31/1.20 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 1.31/1.20 | ~ (ssPv15_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 1.31/1.20 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ skc37))),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl75, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.20 zip_derived_cl122, zip_derived_cl123])).
% 1.31/1.20 thf(zip_derived_cl129, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i, X9 : $i]:
% 1.31/1.20 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.31/1.20 X7 @ X8 @ X9)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl83, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.20 zip_derived_cl122, zip_derived_cl123])).
% 1.31/1.20 thf(zip_derived_cl131, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 1.31/1.20 (~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.31/1.20 X6 @ X7 @ X8 @ X9 @ X10)
% 1.31/1.20 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.31/1.20 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 1.31/1.20 | ~ (ssPv15_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 1.31/1.20 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ skc37))),
% 1.31/1.20 inference('demod', [status(thm)], [zip_derived_cl125, zip_derived_cl129])).
% 1.31/1.20 thf(zip_derived_cl136, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 1.31/1.20 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.31/1.20 X6 @ X7 @ X8 @ X9 @ X10)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl81, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.20 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129])).
% 1.31/1.20 thf(zip_derived_cl137, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 1.31/1.20 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.31/1.20 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl80, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.20 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.20 zip_derived_cl136])).
% 1.31/1.20 thf(zip_derived_cl146, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 1.31/1.20 ~ (ssPv15_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.31/1.20 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ skc37)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl131, zip_derived_cl136, zip_derived_cl137])).
% 1.31/1.20 thf(zip_derived_cl322, plain,
% 1.31/1.20 (![X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i, X8 : $i,
% 1.31/1.20 X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 1.31/1.20 ( (ssPv21_8r1r1r1r1r1r1r1r1 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5)
% 1.31/1.20 | (ssPv18_11r1r1r1r1r1r1r1r1r1r1r1 @ X12 @ X11 @ X10 @ X9 @ X8 @
% 1.31/1.20 X7 @ X6 @ X5 @ X4 @ X3 @ X2)
% 1.31/1.20 | (ssPv20_9r1r1r1r1r1r1r1r1r1 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @
% 1.31/1.20 X6 @ X5 @ X4))),
% 1.31/1.20 inference('sup-', [status(thm)], [zip_derived_cl320, zip_derived_cl146])).
% 1.31/1.20 thf(clause29, conjecture,
% 1.31/1.20 (~( ( ssPv14_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ skc34 ) |
% 1.31/1.20 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.31/1.20 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 1.31/1.20 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.31/1.20 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.31/1.20 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.31/1.20 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 1.31/1.20 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 1.31/1.20 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 1.31/1.20 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 1.31/1.20 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 1.31/1.20 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 1.31/1.20 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 1.31/1.20 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) ))).
% 1.31/1.20 thf(zf_stmt_32, negated_conjecture,
% 1.31/1.20 (( ssPv14_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ skc34 ) |
% 1.31/1.20 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.31/1.20 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.31/1.20 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.31/1.20 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.31/1.20 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 1.31/1.20 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 1.31/1.20 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 1.31/1.20 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 1.31/1.20 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 1.31/1.20 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 1.31/1.20 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 1.31/1.20 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) )),
% 1.31/1.20 inference('cnf.neg', [status(esa)], [clause29])).
% 1.31/1.20 thf(zip_derived_cl73, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 1.31/1.20 ( (ssPv14_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.31/1.20 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ skc34)
% 1.31/1.20 | ~ (ssNder1_0)
% 1.31/1.20 | ~ (ssNder1_1r1 @ X0)
% 1.31/1.20 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 1.31/1.20 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 1.31/1.20 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 1.31/1.20 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 1.31/1.20 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 1.31/1.20 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 1.31/1.20 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.31/1.20 X7)
% 1.31/1.20 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.31/1.20 X6 @ X7 @ X8)
% 1.31/1.20 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.31/1.20 X6 @ X7 @ X8 @ X9)
% 1.31/1.20 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.31/1.20 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 1.31/1.20 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.31/1.20 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 1.31/1.20 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.31/1.20 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12))),
% 1.31/1.20 inference('cnf', [status(esa)], [zf_stmt_32])).
% 1.31/1.20 thf(zip_derived_cl101, plain, ( (ssNder1_0)),
% 1.31/1.20 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.31/1.20 thf(zip_derived_cl107, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 1.31/1.20 inference('demod', [status(thm)], [zip_derived_cl100, zip_derived_cl101])).
% 1.31/1.20 thf(zip_derived_cl108, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl99, zip_derived_cl101, zip_derived_cl107])).
% 1.31/1.20 thf(zip_derived_cl109, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl98, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108])).
% 1.31/1.20 thf(zip_derived_cl110, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.31/1.20 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl97, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109])).
% 1.31/1.20 thf(zip_derived_cl112, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.31/1.20 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl94, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110])).
% 1.31/1.20 thf(zip_derived_cl114, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.31/1.20 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl91, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112])).
% 1.31/1.20 thf(zip_derived_cl121, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 1.31/1.20 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl88, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114])).
% 1.31/1.20 thf(zip_derived_cl122, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 1.31/1.20 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl85, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121])).
% 1.31/1.20 thf(zip_derived_cl123, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i]:
% 1.31/1.20 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.31/1.20 X7 @ X8)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl84, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.20 zip_derived_cl122])).
% 1.31/1.20 thf(zip_derived_cl129, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i, X9 : $i]:
% 1.31/1.20 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.31/1.20 X7 @ X8 @ X9)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl83, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.20 zip_derived_cl122, zip_derived_cl123])).
% 1.31/1.20 thf(zip_derived_cl136, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 1.31/1.20 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.31/1.20 X6 @ X7 @ X8 @ X9 @ X10)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl81, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.20 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129])).
% 1.31/1.20 thf(zip_derived_cl137, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 1.31/1.20 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.31/1.20 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl80, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.20 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.20 zip_derived_cl136])).
% 1.31/1.20 thf(zip_derived_cl139, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 1.31/1.20 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.31/1.20 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl77, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.20 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.20 zip_derived_cl136, zip_derived_cl137])).
% 1.31/1.20 thf(zip_derived_cl142, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 1.31/1.20 (ssPv14_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.31/1.20 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ skc34)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl73, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.20 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.20 zip_derived_cl136, zip_derived_cl137, zip_derived_cl139])).
% 1.31/1.20 thf(clause37, conjecture,
% 1.31/1.20 (~( ( ssPv24_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) | ( ~( ssNder1_0 ) ) |
% 1.31/1.20 ( ~( ssNder1_1r1 @ U ) ) | ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 1.31/1.20 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.31/1.20 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.31/1.20 ( ~( ssPv25_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.31/1.20 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.31/1.20 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 1.31/1.20 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 1.31/1.20 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 1.31/1.20 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 1.31/1.20 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 1.31/1.20 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 1.31/1.20 ( ~( ssPv18_11r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 1.31/1.20 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 1.31/1.20 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 1.31/1.20 ( ~( ssPv14_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 1.31/1.20 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) ))).
% 1.31/1.20 thf(zf_stmt_33, negated_conjecture,
% 1.31/1.20 (( ssPv24_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) | ( ~( ssNder1_0 ) ) |
% 1.31/1.20 ( ~( ssNder1_1r1 @ U ) ) | ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 1.31/1.20 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.31/1.20 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.31/1.20 ( ~( ssPv25_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.31/1.20 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.31/1.20 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 1.31/1.20 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 1.31/1.20 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 1.31/1.20 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 1.31/1.20 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 1.31/1.20 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 1.31/1.20 ( ~( ssPv18_11r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 1.31/1.20 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 1.31/1.20 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 1.31/1.20 ( ~( ssPv14_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 1.31/1.20 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) )),
% 1.31/1.20 inference('cnf.neg', [status(esa)], [clause37])).
% 1.31/1.20 thf(zip_derived_cl65, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.31/1.20 X14 : $i]:
% 1.31/1.20 ( (ssPv24_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 1.31/1.20 | ~ (ssNder1_0)
% 1.31/1.20 | ~ (ssNder1_1r1 @ X0)
% 1.31/1.20 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 1.31/1.20 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 1.31/1.20 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 1.31/1.20 | ~ (ssPv25_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 1.31/1.20 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 1.31/1.20 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 1.31/1.20 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 1.31/1.20 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.31/1.20 X7)
% 1.31/1.20 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.31/1.20 X6 @ X7 @ X8)
% 1.31/1.20 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.31/1.20 X6 @ X7 @ X8 @ X9)
% 1.31/1.20 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.31/1.20 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 1.31/1.20 | ~ (ssPv18_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.31/1.20 X6 @ X7 @ X8 @ X9 @ X10)
% 1.31/1.20 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.31/1.20 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 1.31/1.20 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.31/1.20 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 1.31/1.20 | ~ (ssPv14_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 1.31/1.20 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 1.31/1.20 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 1.31/1.20 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13))),
% 1.31/1.20 inference('cnf', [status(esa)], [zf_stmt_33])).
% 1.31/1.20 thf(zip_derived_cl101, plain, ( (ssNder1_0)),
% 1.31/1.20 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.31/1.20 thf(zip_derived_cl107, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 1.31/1.20 inference('demod', [status(thm)], [zip_derived_cl100, zip_derived_cl101])).
% 1.31/1.20 thf(zip_derived_cl108, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl99, zip_derived_cl101, zip_derived_cl107])).
% 1.31/1.20 thf(zip_derived_cl109, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl98, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108])).
% 1.31/1.20 thf(zip_derived_cl110, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.31/1.20 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl97, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109])).
% 1.31/1.20 thf(zip_derived_cl112, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.31/1.20 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl94, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110])).
% 1.31/1.20 thf(zip_derived_cl114, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.31/1.20 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl91, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112])).
% 1.31/1.20 thf(zip_derived_cl121, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 1.31/1.20 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl88, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114])).
% 1.31/1.20 thf(zip_derived_cl122, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 1.31/1.20 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl85, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121])).
% 1.31/1.20 thf(zip_derived_cl123, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i]:
% 1.31/1.20 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.31/1.20 X7 @ X8)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl84, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.20 zip_derived_cl122])).
% 1.31/1.20 thf(zip_derived_cl129, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i, X9 : $i]:
% 1.31/1.20 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.31/1.20 X7 @ X8 @ X9)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl83, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.20 zip_derived_cl122, zip_derived_cl123])).
% 1.31/1.20 thf(zip_derived_cl136, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 1.31/1.20 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.31/1.20 X6 @ X7 @ X8 @ X9 @ X10)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl81, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.20 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129])).
% 1.31/1.20 thf(zip_derived_cl137, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 1.31/1.20 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.31/1.20 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl80, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.20 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.20 zip_derived_cl136])).
% 1.31/1.20 thf(zip_derived_cl139, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 1.31/1.20 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.31/1.20 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl77, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.20 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.20 zip_derived_cl136, zip_derived_cl137])).
% 1.31/1.20 thf(zip_derived_cl141, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 1.31/1.20 (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.31/1.20 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl74, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.20 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.20 zip_derived_cl136, zip_derived_cl137, zip_derived_cl139])).
% 1.31/1.20 thf(zip_derived_cl158, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.31/1.20 X14 : $i]:
% 1.31/1.20 ( (ssPv24_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 1.31/1.20 | ~ (ssPv25_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 1.31/1.20 | ~ (ssPv18_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.31/1.20 X6 @ X7 @ X8 @ X9 @ X10)
% 1.31/1.20 | ~ (ssPv14_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 1.31/1.20 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14))),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl65, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.20 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.20 zip_derived_cl136, zip_derived_cl137, zip_derived_cl139,
% 1.31/1.20 zip_derived_cl141])).
% 1.31/1.20 thf(zip_derived_cl159, plain,
% 1.31/1.20 (![X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i, X8 : $i, X9 : $i,
% 1.31/1.20 X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 1.31/1.20 (~ (ssPv18_11r1r1r1r1r1r1r1r1r1r1r1 @ X13 @ X12 @ X11 @ X10 @ X9 @
% 1.31/1.20 X8 @ X7 @ X6 @ X5 @ X4 @ X3)
% 1.31/1.20 | ~ (ssPv25_4r1r1r1r1 @ X13 @ X12 @ X11 @ X10)
% 1.31/1.20 | (ssPv24_5r1r1r1r1r1 @ X13 @ X12 @ X11 @ X10 @ X9))),
% 1.31/1.20 inference('sup-', [status(thm)], [zip_derived_cl142, zip_derived_cl158])).
% 1.31/1.20 thf(clause58, conjecture,
% 1.31/1.20 (~( ( ssPv6_23r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 1.31/1.20 X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ skc26 ) |
% 1.31/1.20 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.31/1.20 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 1.31/1.20 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.31/1.20 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.31/1.20 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.31/1.20 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 1.31/1.20 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 1.31/1.20 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 1.31/1.20 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 1.31/1.20 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 1.31/1.20 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 1.31/1.20 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 1.31/1.20 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 1.31/1.20 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 1.31/1.20 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 1.31/1.20 ( ~( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 1.31/1.20 X9 @ X10 ) ) |
% 1.31/1.20 ( ~( ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 1.31/1.20 X9 @ X10 @ X11 ) ) |
% 1.31/1.20 ( ~( ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 1.31/1.20 X9 @ X10 @ X11 @ X12 ) ) |
% 1.31/1.20 ( ~( ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 1.31/1.20 X9 @ X10 @ X11 @ X12 @ X13 ) ) |
% 1.31/1.20 ( ~( ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 1.31/1.20 X9 @ X10 @ X11 @ X12 @ X13 @ X14 ) ) |
% 1.31/1.20 ( ~( ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 1.31/1.20 X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 ) ) ))).
% 1.31/1.20 thf(zf_stmt_34, negated_conjecture,
% 1.31/1.20 (( ssPv6_23r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 1.31/1.20 X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ skc26 ) |
% 1.31/1.20 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.31/1.20 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.31/1.20 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.31/1.20 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.31/1.20 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 1.31/1.20 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 1.31/1.20 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 1.31/1.20 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 1.31/1.20 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 1.31/1.20 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 1.31/1.20 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 1.31/1.20 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 1.31/1.20 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 1.31/1.20 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 1.31/1.20 ( ~( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 1.31/1.20 X10 ) ) |
% 1.31/1.20 ( ~( ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 1.31/1.20 X10 @ X11 ) ) |
% 1.31/1.20 ( ~( ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 1.31/1.20 X10 @ X11 @ X12 ) ) |
% 1.31/1.20 ( ~( ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 1.31/1.20 X10 @ X11 @ X12 @ X13 ) ) |
% 1.31/1.20 ( ~( ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 1.31/1.20 X10 @ X11 @ X12 @ X13 @ X14 ) ) |
% 1.31/1.20 ( ~( ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 1.31/1.20 X10 @ X11 @ X12 @ X13 @ X14 @ X15 ) )),
% 1.31/1.20 inference('cnf.neg', [status(esa)], [clause58])).
% 1.31/1.20 thf(zip_derived_cl44, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.31/1.20 X14 : $i, X15 : $i, X16 : $i, X17 : $i, X18 : $i, X19 : $i, X20 : $i,
% 1.31/1.20 X21 : $i]:
% 1.31/1.20 ( (ssPv6_23r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @
% 1.31/1.20 X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 1.31/1.20 X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ skc26)
% 1.31/1.20 | ~ (ssNder1_0)
% 1.31/1.20 | ~ (ssNder1_1r1 @ X0)
% 1.31/1.20 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 1.31/1.20 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 1.31/1.20 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 1.31/1.20 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 1.31/1.20 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 1.31/1.20 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 1.31/1.20 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.31/1.20 X7)
% 1.31/1.20 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.31/1.20 X6 @ X7 @ X8)
% 1.31/1.20 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.31/1.20 X6 @ X7 @ X8 @ X9)
% 1.31/1.20 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.31/1.20 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 1.31/1.20 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.31/1.20 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 1.31/1.20 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.31/1.20 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 1.31/1.20 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 1.31/1.20 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 1.31/1.20 | ~ (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 1.31/1.20 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 1.31/1.20 | ~ (ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 1.31/1.20 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 1.31/1.20 X14 @ X15)
% 1.31/1.20 | ~ (ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 1.31/1.20 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 1.31/1.20 X14 @ X15 @ X16)
% 1.31/1.20 | ~ (ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 1.31/1.20 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 1.31/1.20 X14 @ X15 @ X16 @ X17)
% 1.31/1.20 | ~ (ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @
% 1.31/1.20 X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 1.31/1.20 X14 @ X15 @ X16 @ X17 @ X18)
% 1.31/1.20 | ~ (ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @
% 1.31/1.20 X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 1.31/1.20 X14 @ X15 @ X16 @ X17 @ X18 @ X19)
% 1.31/1.20 | ~ (ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @
% 1.31/1.20 X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @
% 1.31/1.20 X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20))),
% 1.31/1.20 inference('cnf', [status(esa)], [zf_stmt_34])).
% 1.31/1.20 thf(zip_derived_cl101, plain, ( (ssNder1_0)),
% 1.31/1.20 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.31/1.20 thf(zip_derived_cl107, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 1.31/1.20 inference('demod', [status(thm)], [zip_derived_cl100, zip_derived_cl101])).
% 1.31/1.20 thf(zip_derived_cl108, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl99, zip_derived_cl101, zip_derived_cl107])).
% 1.31/1.20 thf(zip_derived_cl109, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl98, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108])).
% 1.31/1.20 thf(zip_derived_cl110, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.31/1.20 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl97, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109])).
% 1.31/1.20 thf(zip_derived_cl112, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.31/1.20 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl94, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110])).
% 1.31/1.20 thf(zip_derived_cl114, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.31/1.20 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl91, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112])).
% 1.31/1.20 thf(zip_derived_cl121, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 1.31/1.20 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl88, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114])).
% 1.31/1.20 thf(zip_derived_cl122, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 1.31/1.20 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl85, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121])).
% 1.31/1.20 thf(zip_derived_cl123, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i]:
% 1.31/1.20 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.31/1.20 X7 @ X8)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl84, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.20 zip_derived_cl122])).
% 1.31/1.20 thf(zip_derived_cl129, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i, X9 : $i]:
% 1.31/1.20 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.31/1.20 X7 @ X8 @ X9)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl83, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.20 zip_derived_cl122, zip_derived_cl123])).
% 1.31/1.20 thf(zip_derived_cl136, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 1.31/1.20 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.31/1.20 X6 @ X7 @ X8 @ X9 @ X10)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl81, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.20 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129])).
% 1.31/1.20 thf(zip_derived_cl137, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 1.31/1.20 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.31/1.20 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl80, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.20 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.20 zip_derived_cl136])).
% 1.31/1.20 thf(zip_derived_cl139, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 1.31/1.20 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.31/1.20 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl77, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.20 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.20 zip_derived_cl136, zip_derived_cl137])).
% 1.31/1.20 thf(zip_derived_cl141, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 1.31/1.20 (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.31/1.20 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl74, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.20 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.20 zip_derived_cl136, zip_derived_cl137, zip_derived_cl139])).
% 1.31/1.20 thf(zip_derived_cl150, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.31/1.20 X14 : $i]:
% 1.31/1.20 (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.31/1.20 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl70, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.20 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.20 zip_derived_cl136, zip_derived_cl137, zip_derived_cl139,
% 1.31/1.20 zip_derived_cl141])).
% 1.31/1.20 thf(zip_derived_cl160, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.31/1.20 X14 : $i, X15 : $i]:
% 1.31/1.20 (ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 1.31/1.20 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl67, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.20 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.20 zip_derived_cl136, zip_derived_cl137, zip_derived_cl139,
% 1.31/1.20 zip_derived_cl141, zip_derived_cl150])).
% 1.31/1.20 thf(zip_derived_cl167, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.31/1.20 X14 : $i, X15 : $i, X16 : $i]:
% 1.31/1.20 (ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 1.31/1.20 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @
% 1.31/1.20 X16)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl64, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.20 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.20 zip_derived_cl136, zip_derived_cl137, zip_derived_cl139,
% 1.31/1.20 zip_derived_cl141, zip_derived_cl150, zip_derived_cl160])).
% 1.31/1.20 thf(zip_derived_cl168, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.31/1.20 X14 : $i, X15 : $i, X16 : $i, X17 : $i]:
% 1.31/1.20 (ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 1.31/1.20 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @
% 1.31/1.20 X15 @ X16 @ X17)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl63, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.20 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.20 zip_derived_cl136, zip_derived_cl137, zip_derived_cl139,
% 1.31/1.20 zip_derived_cl141, zip_derived_cl150, zip_derived_cl160,
% 1.31/1.20 zip_derived_cl167])).
% 1.31/1.20 thf(zip_derived_cl171, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.31/1.20 X14 : $i, X15 : $i, X16 : $i, X17 : $i, X18 : $i]:
% 1.31/1.20 (ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 1.31/1.20 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @
% 1.31/1.20 X15 @ X16 @ X17 @ X18)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl61, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.20 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.20 zip_derived_cl136, zip_derived_cl137, zip_derived_cl139,
% 1.31/1.20 zip_derived_cl141, zip_derived_cl150, zip_derived_cl160,
% 1.31/1.20 zip_derived_cl167, zip_derived_cl168])).
% 1.31/1.20 thf(zip_derived_cl172, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.31/1.20 X14 : $i, X15 : $i, X16 : $i, X17 : $i, X18 : $i, X19 : $i]:
% 1.31/1.20 (ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 1.31/1.20 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @
% 1.31/1.20 X15 @ X16 @ X17 @ X18 @ X19)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl57, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.20 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.20 zip_derived_cl136, zip_derived_cl137, zip_derived_cl139,
% 1.31/1.20 zip_derived_cl141, zip_derived_cl150, zip_derived_cl160,
% 1.31/1.20 zip_derived_cl167, zip_derived_cl168, zip_derived_cl171])).
% 1.31/1.20 thf(zip_derived_cl186, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.31/1.20 X14 : $i, X15 : $i, X16 : $i, X17 : $i, X18 : $i, X19 : $i, X20 : $i]:
% 1.31/1.20 (ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @
% 1.31/1.20 X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 1.31/1.20 X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl52, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.20 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.20 zip_derived_cl136, zip_derived_cl137, zip_derived_cl139,
% 1.31/1.20 zip_derived_cl141, zip_derived_cl150, zip_derived_cl160,
% 1.31/1.20 zip_derived_cl167, zip_derived_cl168, zip_derived_cl171,
% 1.31/1.20 zip_derived_cl172])).
% 1.31/1.20 thf(zip_derived_cl212, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.31/1.20 X14 : $i, X15 : $i, X16 : $i, X17 : $i, X18 : $i, X19 : $i, X20 : $i,
% 1.31/1.20 X21 : $i]:
% 1.31/1.20 (ssPv6_23r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @
% 1.31/1.20 X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 1.31/1.20 X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ skc26)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl44, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.20 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.20 zip_derived_cl136, zip_derived_cl137, zip_derived_cl139,
% 1.31/1.20 zip_derived_cl141, zip_derived_cl150, zip_derived_cl160,
% 1.31/1.20 zip_derived_cl167, zip_derived_cl168, zip_derived_cl171,
% 1.31/1.20 zip_derived_cl172, zip_derived_cl186])).
% 1.31/1.20 thf(zip_derived_cl222, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.31/1.20 X14 : $i, X15 : $i, X16 : $i, X17 : $i, X18 : $i, X19 : $i, X20 : $i,
% 1.31/1.20 X21 : $i, X22 : $i]:
% 1.31/1.20 (ssPv5_24r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @
% 1.31/1.20 X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @
% 1.31/1.20 X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ skc24)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl38, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.20 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.20 zip_derived_cl136, zip_derived_cl137, zip_derived_cl139,
% 1.31/1.20 zip_derived_cl141, zip_derived_cl150, zip_derived_cl160,
% 1.31/1.20 zip_derived_cl167, zip_derived_cl168, zip_derived_cl171,
% 1.31/1.20 zip_derived_cl172, zip_derived_cl186, zip_derived_cl210])).
% 1.31/1.20 thf(clause74, conjecture,
% 1.31/1.20 (~( ( ssPv25_4r1r1r1r1 @ U @ V @ W @ X ) |
% 1.31/1.20 ( ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) |
% 1.31/1.20 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.31/1.20 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 1.31/1.20 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.31/1.20 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.31/1.20 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.31/1.20 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 1.31/1.20 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 1.31/1.20 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 1.31/1.20 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 1.31/1.20 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 1.31/1.20 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 1.31/1.20 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 1.31/1.20 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 1.31/1.20 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 1.31/1.20 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 1.31/1.20 ( ~( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 1.31/1.20 X9 @ X10 ) ) |
% 1.31/1.20 ( ~( ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 1.31/1.20 X9 @ X10 @ X11 ) ) |
% 1.31/1.20 ( ~( ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 1.31/1.20 X9 @ X10 @ X11 @ X12 ) ) |
% 1.31/1.20 ( ~( ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 1.31/1.20 X9 @ X10 @ X11 @ X12 @ X13 ) ) |
% 1.31/1.20 ( ~( ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 1.31/1.20 X9 @ X10 @ X11 @ X12 @ X13 @ X14 ) ) |
% 1.31/1.20 ( ~( ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 1.31/1.20 X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 ) ) |
% 1.31/1.20 ( ~( ssNder1_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 1.31/1.20 X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 ) ) |
% 1.31/1.20 ( ~( ssPv5_24r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 1.31/1.20 X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 ) ) |
% 1.31/1.20 ( ~( ssNder1_23r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 1.31/1.20 X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 ) ) |
% 1.31/1.20 ( ~( ssPv6_23r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 1.31/1.20 X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 ) ) ))).
% 1.31/1.20 thf(zf_stmt_35, negated_conjecture,
% 1.31/1.20 (( ssPv25_4r1r1r1r1 @ U @ V @ W @ X ) |
% 1.31/1.20 ( ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) |
% 1.31/1.20 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.31/1.20 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.31/1.20 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.31/1.20 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.31/1.20 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 1.31/1.20 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 1.31/1.20 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 1.31/1.20 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 1.31/1.20 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 1.31/1.20 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 1.31/1.20 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 1.31/1.20 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 1.31/1.20 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 1.31/1.20 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 1.31/1.20 ( ~( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 1.31/1.20 X10 ) ) |
% 1.31/1.20 ( ~( ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 1.31/1.20 X10 @ X11 ) ) |
% 1.31/1.20 ( ~( ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 1.31/1.20 X10 @ X11 @ X12 ) ) |
% 1.31/1.20 ( ~( ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 1.31/1.20 X10 @ X11 @ X12 @ X13 ) ) |
% 1.31/1.20 ( ~( ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 1.31/1.20 X10 @ X11 @ X12 @ X13 @ X14 ) ) |
% 1.31/1.20 ( ~( ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 1.31/1.20 X10 @ X11 @ X12 @ X13 @ X14 @ X15 ) ) |
% 1.31/1.20 ( ~( ssNder1_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 1.31/1.20 X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 ) ) |
% 1.31/1.20 ( ~( ssPv5_24r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 1.31/1.20 X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 ) ) |
% 1.31/1.20 ( ~( ssNder1_23r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 1.31/1.20 X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 ) ) |
% 1.31/1.20 ( ~( ssPv6_23r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 1.31/1.20 X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 ) )),
% 1.31/1.20 inference('cnf.neg', [status(esa)], [clause74])).
% 1.31/1.20 thf(zip_derived_cl28, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.31/1.20 X14 : $i, X15 : $i, X16 : $i, X17 : $i, X18 : $i, X19 : $i, X20 : $i,
% 1.31/1.20 X21 : $i, X22 : $i, X23 : $i]:
% 1.31/1.20 ( (ssPv25_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 1.31/1.20 | (ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.31/1.20 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 1.31/1.20 | ~ (ssNder1_0)
% 1.31/1.20 | ~ (ssNder1_1r1 @ X0)
% 1.31/1.20 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 1.31/1.20 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 1.31/1.20 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 1.31/1.20 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 1.31/1.20 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 1.31/1.20 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 1.31/1.20 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.31/1.20 X7)
% 1.31/1.20 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.31/1.20 X6 @ X7 @ X8)
% 1.31/1.20 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.31/1.20 X6 @ X7 @ X8 @ X9)
% 1.31/1.20 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.31/1.20 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 1.31/1.20 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.31/1.20 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 1.31/1.20 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.31/1.20 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 1.31/1.20 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 1.31/1.20 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 1.31/1.20 | ~ (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 1.31/1.20 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 1.31/1.20 | ~ (ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 1.31/1.20 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 1.31/1.20 X14 @ X15)
% 1.31/1.20 | ~ (ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 1.31/1.20 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 1.31/1.20 X14 @ X15 @ X16)
% 1.31/1.20 | ~ (ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 1.31/1.20 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 1.31/1.20 X14 @ X15 @ X16 @ X17)
% 1.31/1.20 | ~ (ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @
% 1.31/1.20 X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 1.31/1.20 X14 @ X15 @ X16 @ X17 @ X18)
% 1.31/1.20 | ~ (ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @
% 1.31/1.20 X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 1.31/1.20 X14 @ X15 @ X16 @ X17 @ X18 @ X19)
% 1.31/1.20 | ~ (ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @
% 1.31/1.20 X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @
% 1.31/1.20 X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20)
% 1.31/1.20 | ~ (ssNder1_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @
% 1.31/1.20 X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @
% 1.31/1.20 X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21)
% 1.31/1.20 | ~ (ssPv5_24r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @
% 1.31/1.20 X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @
% 1.31/1.20 X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23)
% 1.31/1.20 | ~ (ssNder1_23r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @
% 1.31/1.20 X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @
% 1.31/1.20 X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22)
% 1.31/1.20 | ~ (ssPv6_23r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @
% 1.31/1.20 X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @
% 1.31/1.20 X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22))),
% 1.31/1.20 inference('cnf', [status(esa)], [zf_stmt_35])).
% 1.31/1.20 thf(zip_derived_cl101, plain, ( (ssNder1_0)),
% 1.31/1.20 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.31/1.20 thf(zip_derived_cl107, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 1.31/1.20 inference('demod', [status(thm)], [zip_derived_cl100, zip_derived_cl101])).
% 1.31/1.20 thf(zip_derived_cl108, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl99, zip_derived_cl101, zip_derived_cl107])).
% 1.31/1.20 thf(zip_derived_cl109, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl98, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108])).
% 1.31/1.20 thf(zip_derived_cl110, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.31/1.20 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl97, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109])).
% 1.31/1.20 thf(zip_derived_cl112, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.31/1.20 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl94, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110])).
% 1.31/1.20 thf(zip_derived_cl114, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.31/1.20 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl91, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112])).
% 1.31/1.20 thf(zip_derived_cl121, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 1.31/1.20 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl88, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114])).
% 1.31/1.20 thf(zip_derived_cl122, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 1.31/1.20 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl85, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121])).
% 1.31/1.20 thf(zip_derived_cl123, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i]:
% 1.31/1.20 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.31/1.20 X7 @ X8)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl84, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.20 zip_derived_cl122])).
% 1.31/1.20 thf(zip_derived_cl129, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i, X9 : $i]:
% 1.31/1.20 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.31/1.20 X7 @ X8 @ X9)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl83, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.20 zip_derived_cl122, zip_derived_cl123])).
% 1.31/1.20 thf(zip_derived_cl136, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 1.31/1.20 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.31/1.20 X6 @ X7 @ X8 @ X9 @ X10)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl81, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.20 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129])).
% 1.31/1.20 thf(zip_derived_cl137, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 1.31/1.20 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.31/1.20 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl80, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.20 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.20 zip_derived_cl136])).
% 1.31/1.20 thf(zip_derived_cl139, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 1.31/1.20 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.31/1.20 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl77, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.20 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.20 zip_derived_cl136, zip_derived_cl137])).
% 1.31/1.20 thf(zip_derived_cl141, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 1.31/1.20 (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.31/1.20 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl74, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.20 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.20 zip_derived_cl136, zip_derived_cl137, zip_derived_cl139])).
% 1.31/1.20 thf(zip_derived_cl150, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.31/1.20 X14 : $i]:
% 1.31/1.20 (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.31/1.20 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl70, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.20 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.20 zip_derived_cl136, zip_derived_cl137, zip_derived_cl139,
% 1.31/1.20 zip_derived_cl141])).
% 1.31/1.20 thf(zip_derived_cl160, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.31/1.20 X14 : $i, X15 : $i]:
% 1.31/1.20 (ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 1.31/1.20 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl67, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.20 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.20 zip_derived_cl136, zip_derived_cl137, zip_derived_cl139,
% 1.31/1.20 zip_derived_cl141, zip_derived_cl150])).
% 1.31/1.20 thf(zip_derived_cl167, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.31/1.20 X14 : $i, X15 : $i, X16 : $i]:
% 1.31/1.20 (ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 1.31/1.20 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @
% 1.31/1.20 X16)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl64, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.20 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.20 zip_derived_cl136, zip_derived_cl137, zip_derived_cl139,
% 1.31/1.20 zip_derived_cl141, zip_derived_cl150, zip_derived_cl160])).
% 1.31/1.20 thf(zip_derived_cl168, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.31/1.20 X14 : $i, X15 : $i, X16 : $i, X17 : $i]:
% 1.31/1.20 (ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 1.31/1.20 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @
% 1.31/1.20 X15 @ X16 @ X17)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl63, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.20 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.20 zip_derived_cl136, zip_derived_cl137, zip_derived_cl139,
% 1.31/1.20 zip_derived_cl141, zip_derived_cl150, zip_derived_cl160,
% 1.31/1.20 zip_derived_cl167])).
% 1.31/1.20 thf(zip_derived_cl171, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.31/1.20 X14 : $i, X15 : $i, X16 : $i, X17 : $i, X18 : $i]:
% 1.31/1.20 (ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 1.31/1.20 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @
% 1.31/1.20 X15 @ X16 @ X17 @ X18)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl61, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.20 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.20 zip_derived_cl136, zip_derived_cl137, zip_derived_cl139,
% 1.31/1.20 zip_derived_cl141, zip_derived_cl150, zip_derived_cl160,
% 1.31/1.20 zip_derived_cl167, zip_derived_cl168])).
% 1.31/1.20 thf(zip_derived_cl172, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.31/1.20 X14 : $i, X15 : $i, X16 : $i, X17 : $i, X18 : $i, X19 : $i]:
% 1.31/1.20 (ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 1.31/1.20 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @
% 1.31/1.20 X15 @ X16 @ X17 @ X18 @ X19)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl57, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.20 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.20 zip_derived_cl136, zip_derived_cl137, zip_derived_cl139,
% 1.31/1.20 zip_derived_cl141, zip_derived_cl150, zip_derived_cl160,
% 1.31/1.20 zip_derived_cl167, zip_derived_cl168, zip_derived_cl171])).
% 1.31/1.20 thf(zip_derived_cl186, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.31/1.20 X14 : $i, X15 : $i, X16 : $i, X17 : $i, X18 : $i, X19 : $i, X20 : $i]:
% 1.31/1.20 (ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @
% 1.31/1.20 X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 1.31/1.20 X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl52, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.20 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.20 zip_derived_cl136, zip_derived_cl137, zip_derived_cl139,
% 1.31/1.20 zip_derived_cl141, zip_derived_cl150, zip_derived_cl160,
% 1.31/1.20 zip_derived_cl167, zip_derived_cl168, zip_derived_cl171,
% 1.31/1.20 zip_derived_cl172])).
% 1.31/1.20 thf(zip_derived_cl210, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.31/1.20 X14 : $i, X15 : $i, X16 : $i, X17 : $i, X18 : $i, X19 : $i, X20 : $i,
% 1.31/1.20 X21 : $i]:
% 1.31/1.20 (ssNder1_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @
% 1.31/1.20 X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 1.31/1.20 X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl45, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.20 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.20 zip_derived_cl136, zip_derived_cl137, zip_derived_cl139,
% 1.31/1.20 zip_derived_cl141, zip_derived_cl150, zip_derived_cl160,
% 1.31/1.20 zip_derived_cl167, zip_derived_cl168, zip_derived_cl171,
% 1.31/1.20 zip_derived_cl172, zip_derived_cl186])).
% 1.31/1.20 thf(zip_derived_cl221, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.31/1.20 X14 : $i, X15 : $i, X16 : $i, X17 : $i, X18 : $i, X19 : $i, X20 : $i,
% 1.31/1.20 X21 : $i, X22 : $i]:
% 1.31/1.20 (ssNder1_23r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @
% 1.31/1.20 X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @
% 1.31/1.20 X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl39, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.20 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.20 zip_derived_cl136, zip_derived_cl137, zip_derived_cl139,
% 1.31/1.20 zip_derived_cl141, zip_derived_cl150, zip_derived_cl160,
% 1.31/1.20 zip_derived_cl167, zip_derived_cl168, zip_derived_cl171,
% 1.31/1.20 zip_derived_cl172, zip_derived_cl186, zip_derived_cl210])).
% 1.31/1.20 thf(zip_derived_cl291, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.31/1.20 X14 : $i, X15 : $i, X16 : $i, X17 : $i, X18 : $i, X19 : $i, X20 : $i,
% 1.31/1.20 X21 : $i, X22 : $i, X23 : $i]:
% 1.31/1.20 ( (ssPv25_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 1.31/1.20 | (ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.31/1.20 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 1.31/1.20 | ~ (ssPv5_24r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @
% 1.31/1.20 X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @
% 1.31/1.20 X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23)
% 1.31/1.20 | ~ (ssPv6_23r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @
% 1.31/1.20 X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @
% 1.31/1.20 X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22))),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl28, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.20 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.20 zip_derived_cl136, zip_derived_cl137, zip_derived_cl139,
% 1.31/1.20 zip_derived_cl141, zip_derived_cl150, zip_derived_cl160,
% 1.31/1.20 zip_derived_cl167, zip_derived_cl168, zip_derived_cl171,
% 1.31/1.20 zip_derived_cl172, zip_derived_cl186, zip_derived_cl210,
% 1.31/1.20 zip_derived_cl221])).
% 1.31/1.20 thf(zip_derived_cl292, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.31/1.20 X14 : $i, X15 : $i, X16 : $i, X17 : $i, X18 : $i, X19 : $i, X20 : $i,
% 1.31/1.20 X21 : $i, X22 : $i]:
% 1.31/1.20 (~ (ssPv6_23r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X22 @
% 1.31/1.20 X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @
% 1.31/1.20 X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 1.31/1.20 | (ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X22 @ X21 @ X20 @ X19 @
% 1.31/1.20 X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11)
% 1.31/1.20 | (ssPv25_4r1r1r1r1 @ X22 @ X21 @ X20 @ X19))),
% 1.31/1.20 inference('sup-', [status(thm)], [zip_derived_cl222, zip_derived_cl291])).
% 1.31/1.20 thf(zip_derived_cl293, plain,
% 1.31/1.20 (![X10 : $i, X11 : $i, X12 : $i, X13 : $i, X14 : $i, X15 : $i, X16 : $i,
% 1.31/1.20 X17 : $i, X18 : $i, X19 : $i, X20 : $i, X21 : $i]:
% 1.31/1.20 ( (ssPv25_4r1r1r1r1 @ X21 @ X20 @ X19 @ X18)
% 1.31/1.20 | (ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X21 @ X20 @ X19 @ X18 @
% 1.31/1.20 X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10))),
% 1.31/1.20 inference('sup-', [status(thm)], [zip_derived_cl212, zip_derived_cl292])).
% 1.31/1.20 thf(zip_derived_cl152, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 1.31/1.20 ( (ssPv21_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)
% 1.31/1.20 | (ssPv18_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.31/1.20 X6 @ X7 @ X8 @ X9 @ X10)
% 1.31/1.20 | (ssPv15_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.31/1.20 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 1.31/1.20 | ~ (ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.31/1.20 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11))),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl66, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.20 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.20 zip_derived_cl136, zip_derived_cl137, zip_derived_cl139])).
% 1.31/1.20 thf(zip_derived_cl294, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 1.31/1.20 ( (ssPv25_4r1r1r1r1 @ X11 @ X10 @ X9 @ X8)
% 1.31/1.20 | (ssPv15_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X11 @ X10 @ X9 @ X8 @
% 1.31/1.20 X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X13 @ X12)
% 1.31/1.20 | (ssPv18_11r1r1r1r1r1r1r1r1r1r1r1 @ X11 @ X10 @ X9 @ X8 @ X7 @
% 1.31/1.20 X6 @ X5 @ X4 @ X3 @ X2 @ X1)
% 1.31/1.20 | (ssPv21_8r1r1r1r1r1r1r1r1 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @
% 1.31/1.20 X4))),
% 1.31/1.20 inference('sup-', [status(thm)], [zip_derived_cl293, zip_derived_cl152])).
% 1.31/1.20 thf(zip_derived_cl222, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.31/1.20 X14 : $i, X15 : $i, X16 : $i, X17 : $i, X18 : $i, X19 : $i, X20 : $i,
% 1.31/1.20 X21 : $i, X22 : $i]:
% 1.31/1.20 (ssPv5_24r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @
% 1.31/1.20 X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @
% 1.31/1.20 X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ skc24)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl38, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.20 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.20 zip_derived_cl136, zip_derived_cl137, zip_derived_cl139,
% 1.31/1.20 zip_derived_cl141, zip_derived_cl150, zip_derived_cl160,
% 1.31/1.20 zip_derived_cl167, zip_derived_cl168, zip_derived_cl171,
% 1.31/1.20 zip_derived_cl172, zip_derived_cl186, zip_derived_cl210])).
% 1.31/1.20 thf(clause72, conjecture,
% 1.31/1.20 (~( ( ssPv21_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) |
% 1.31/1.20 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.31/1.20 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 1.31/1.20 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.31/1.20 ( ~( ssPv26_3r1r1r1 @ U @ V @ W ) ) |
% 1.31/1.20 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.31/1.20 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.31/1.20 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 1.31/1.20 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 1.31/1.20 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 1.31/1.20 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 1.31/1.20 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 1.31/1.20 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 1.31/1.20 ( ~( ssPv18_11r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 1.31/1.20 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 1.31/1.20 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 1.31/1.20 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 1.31/1.20 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 1.31/1.20 ( ~( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 1.31/1.20 X9 @ X10 ) ) |
% 1.31/1.20 ( ~( ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 1.31/1.20 X9 @ X10 @ X11 ) ) |
% 1.31/1.20 ( ~( ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 1.31/1.20 X9 @ X10 @ X11 @ X12 ) ) |
% 1.31/1.20 ( ~( ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 1.31/1.20 X9 @ X10 @ X11 @ X12 @ X13 ) ) |
% 1.31/1.20 ( ~( ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 1.31/1.20 X9 @ X10 @ X11 @ X12 @ X13 @ X14 ) ) |
% 1.31/1.20 ( ~( ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 1.31/1.20 X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 ) ) |
% 1.31/1.20 ( ~( ssNder1_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 1.31/1.20 X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 ) ) |
% 1.31/1.20 ( ~( ssPv5_24r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 1.31/1.20 X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 ) ) |
% 1.31/1.20 ( ~( ssNder1_23r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 1.31/1.20 X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 ) ) ))).
% 1.31/1.20 thf(zf_stmt_36, negated_conjecture,
% 1.31/1.20 (( ssPv21_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) |
% 1.31/1.20 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.31/1.20 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.31/1.20 ( ~( ssPv26_3r1r1r1 @ U @ V @ W ) ) |
% 1.31/1.20 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.31/1.20 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.31/1.20 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 1.31/1.20 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 1.31/1.20 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 1.31/1.20 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 1.31/1.20 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 1.31/1.20 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 1.31/1.20 ( ~( ssPv18_11r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 1.31/1.20 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 1.31/1.20 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 1.31/1.20 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 1.31/1.20 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 1.31/1.20 ( ~( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 1.31/1.20 X10 ) ) |
% 1.31/1.20 ( ~( ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 1.31/1.20 X10 @ X11 ) ) |
% 1.31/1.20 ( ~( ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 1.31/1.20 X10 @ X11 @ X12 ) ) |
% 1.31/1.20 ( ~( ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 1.31/1.20 X10 @ X11 @ X12 @ X13 ) ) |
% 1.31/1.20 ( ~( ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 1.31/1.20 X10 @ X11 @ X12 @ X13 @ X14 ) ) |
% 1.31/1.20 ( ~( ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 1.31/1.20 X10 @ X11 @ X12 @ X13 @ X14 @ X15 ) ) |
% 1.31/1.20 ( ~( ssNder1_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 1.31/1.20 X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 ) ) |
% 1.31/1.20 ( ~( ssPv5_24r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 1.31/1.20 X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 ) ) |
% 1.31/1.20 ( ~( ssNder1_23r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 1.31/1.20 X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 ) )),
% 1.31/1.20 inference('cnf.neg', [status(esa)], [clause72])).
% 1.31/1.20 thf(zip_derived_cl30, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.31/1.20 X14 : $i, X15 : $i, X16 : $i, X17 : $i, X18 : $i, X19 : $i, X20 : $i,
% 1.31/1.20 X21 : $i, X22 : $i, X23 : $i]:
% 1.31/1.20 ( (ssPv21_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)
% 1.31/1.20 | ~ (ssNder1_0)
% 1.31/1.20 | ~ (ssNder1_1r1 @ X0)
% 1.31/1.20 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 1.31/1.20 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 1.31/1.20 | ~ (ssPv26_3r1r1r1 @ X0 @ X1 @ X2)
% 1.31/1.20 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 1.31/1.20 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 1.31/1.20 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 1.31/1.20 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 1.31/1.20 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.31/1.20 X7)
% 1.31/1.20 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.31/1.20 X6 @ X7 @ X8)
% 1.31/1.20 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.31/1.20 X6 @ X7 @ X8 @ X9)
% 1.31/1.20 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.31/1.20 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 1.31/1.20 | ~ (ssPv18_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.31/1.20 X6 @ X7 @ X8 @ X9 @ X10)
% 1.31/1.20 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.31/1.20 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 1.31/1.20 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.31/1.20 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 1.31/1.20 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 1.31/1.20 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 1.31/1.20 | ~ (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 1.31/1.20 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 1.31/1.20 | ~ (ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 1.31/1.20 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 1.31/1.20 X14 @ X15)
% 1.31/1.20 | ~ (ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 1.31/1.20 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 1.31/1.20 X14 @ X15 @ X16)
% 1.31/1.20 | ~ (ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 1.31/1.20 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 1.31/1.20 X14 @ X15 @ X16 @ X17)
% 1.31/1.20 | ~ (ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @
% 1.31/1.20 X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 1.31/1.20 X14 @ X15 @ X16 @ X17 @ X18)
% 1.31/1.20 | ~ (ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @
% 1.31/1.20 X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 1.31/1.20 X14 @ X15 @ X16 @ X17 @ X18 @ X19)
% 1.31/1.20 | ~ (ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @
% 1.31/1.20 X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @
% 1.31/1.20 X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20)
% 1.31/1.20 | ~ (ssNder1_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @
% 1.31/1.20 X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @
% 1.31/1.20 X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21)
% 1.31/1.20 | ~ (ssPv5_24r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @
% 1.31/1.20 X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @
% 1.31/1.20 X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23)
% 1.31/1.20 | ~ (ssNder1_23r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @
% 1.31/1.20 X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @
% 1.31/1.20 X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22))),
% 1.31/1.20 inference('cnf', [status(esa)], [zf_stmt_36])).
% 1.31/1.20 thf(zip_derived_cl101, plain, ( (ssNder1_0)),
% 1.31/1.20 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.31/1.20 thf(zip_derived_cl107, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 1.31/1.20 inference('demod', [status(thm)], [zip_derived_cl100, zip_derived_cl101])).
% 1.31/1.20 thf(zip_derived_cl108, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl99, zip_derived_cl101, zip_derived_cl107])).
% 1.31/1.20 thf(zip_derived_cl109, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl98, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108])).
% 1.31/1.20 thf(zip_derived_cl110, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.31/1.20 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl97, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109])).
% 1.31/1.20 thf(zip_derived_cl112, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.31/1.20 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl94, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110])).
% 1.31/1.20 thf(zip_derived_cl114, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.31/1.20 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl91, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112])).
% 1.31/1.20 thf(zip_derived_cl121, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 1.31/1.20 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl88, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114])).
% 1.31/1.20 thf(zip_derived_cl122, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 1.31/1.20 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl85, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121])).
% 1.31/1.20 thf(zip_derived_cl123, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i]:
% 1.31/1.20 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.31/1.20 X7 @ X8)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl84, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.20 zip_derived_cl122])).
% 1.31/1.20 thf(zip_derived_cl129, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i, X9 : $i]:
% 1.31/1.20 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.31/1.20 X7 @ X8 @ X9)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl83, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.20 zip_derived_cl122, zip_derived_cl123])).
% 1.31/1.20 thf(zip_derived_cl136, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 1.31/1.20 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.31/1.20 X6 @ X7 @ X8 @ X9 @ X10)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl81, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.20 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129])).
% 1.31/1.20 thf(zip_derived_cl137, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 1.31/1.20 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.31/1.20 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl80, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.20 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.20 zip_derived_cl136])).
% 1.31/1.20 thf(zip_derived_cl139, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 1.31/1.20 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.31/1.20 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl77, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.20 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.20 zip_derived_cl136, zip_derived_cl137])).
% 1.31/1.20 thf(zip_derived_cl141, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 1.31/1.20 (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.31/1.20 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl74, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.20 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.20 zip_derived_cl136, zip_derived_cl137, zip_derived_cl139])).
% 1.31/1.20 thf(zip_derived_cl150, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.31/1.20 X14 : $i]:
% 1.31/1.20 (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.31/1.20 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl70, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.20 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.20 zip_derived_cl136, zip_derived_cl137, zip_derived_cl139,
% 1.31/1.20 zip_derived_cl141])).
% 1.31/1.20 thf(zip_derived_cl160, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.31/1.20 X14 : $i, X15 : $i]:
% 1.31/1.20 (ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 1.31/1.20 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl67, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.20 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.20 zip_derived_cl136, zip_derived_cl137, zip_derived_cl139,
% 1.31/1.20 zip_derived_cl141, zip_derived_cl150])).
% 1.31/1.20 thf(zip_derived_cl167, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.31/1.20 X14 : $i, X15 : $i, X16 : $i]:
% 1.31/1.20 (ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 1.31/1.20 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @
% 1.31/1.20 X16)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl64, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.20 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.20 zip_derived_cl136, zip_derived_cl137, zip_derived_cl139,
% 1.31/1.20 zip_derived_cl141, zip_derived_cl150, zip_derived_cl160])).
% 1.31/1.20 thf(zip_derived_cl168, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.31/1.20 X14 : $i, X15 : $i, X16 : $i, X17 : $i]:
% 1.31/1.20 (ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 1.31/1.20 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @
% 1.31/1.20 X15 @ X16 @ X17)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl63, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.20 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.20 zip_derived_cl136, zip_derived_cl137, zip_derived_cl139,
% 1.31/1.20 zip_derived_cl141, zip_derived_cl150, zip_derived_cl160,
% 1.31/1.20 zip_derived_cl167])).
% 1.31/1.20 thf(zip_derived_cl171, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.31/1.20 X14 : $i, X15 : $i, X16 : $i, X17 : $i, X18 : $i]:
% 1.31/1.20 (ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 1.31/1.20 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @
% 1.31/1.20 X15 @ X16 @ X17 @ X18)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl61, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.20 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.20 zip_derived_cl136, zip_derived_cl137, zip_derived_cl139,
% 1.31/1.20 zip_derived_cl141, zip_derived_cl150, zip_derived_cl160,
% 1.31/1.20 zip_derived_cl167, zip_derived_cl168])).
% 1.31/1.20 thf(zip_derived_cl172, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.31/1.20 X14 : $i, X15 : $i, X16 : $i, X17 : $i, X18 : $i, X19 : $i]:
% 1.31/1.20 (ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 1.31/1.20 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @
% 1.31/1.20 X15 @ X16 @ X17 @ X18 @ X19)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl57, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.20 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.20 zip_derived_cl136, zip_derived_cl137, zip_derived_cl139,
% 1.31/1.20 zip_derived_cl141, zip_derived_cl150, zip_derived_cl160,
% 1.31/1.20 zip_derived_cl167, zip_derived_cl168, zip_derived_cl171])).
% 1.31/1.20 thf(zip_derived_cl186, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.31/1.20 X14 : $i, X15 : $i, X16 : $i, X17 : $i, X18 : $i, X19 : $i, X20 : $i]:
% 1.31/1.20 (ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @
% 1.31/1.20 X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 1.31/1.20 X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl52, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.20 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.20 zip_derived_cl136, zip_derived_cl137, zip_derived_cl139,
% 1.31/1.20 zip_derived_cl141, zip_derived_cl150, zip_derived_cl160,
% 1.31/1.20 zip_derived_cl167, zip_derived_cl168, zip_derived_cl171,
% 1.31/1.20 zip_derived_cl172])).
% 1.31/1.20 thf(zip_derived_cl210, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.31/1.20 X14 : $i, X15 : $i, X16 : $i, X17 : $i, X18 : $i, X19 : $i, X20 : $i,
% 1.31/1.20 X21 : $i]:
% 1.31/1.20 (ssNder1_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @
% 1.31/1.20 X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 1.31/1.20 X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl45, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.20 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.20 zip_derived_cl136, zip_derived_cl137, zip_derived_cl139,
% 1.31/1.20 zip_derived_cl141, zip_derived_cl150, zip_derived_cl160,
% 1.31/1.20 zip_derived_cl167, zip_derived_cl168, zip_derived_cl171,
% 1.31/1.20 zip_derived_cl172, zip_derived_cl186])).
% 1.31/1.20 thf(zip_derived_cl221, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.31/1.20 X14 : $i, X15 : $i, X16 : $i, X17 : $i, X18 : $i, X19 : $i, X20 : $i,
% 1.31/1.20 X21 : $i, X22 : $i]:
% 1.31/1.20 (ssNder1_23r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @
% 1.31/1.20 X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @
% 1.31/1.20 X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl39, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.20 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.20 zip_derived_cl136, zip_derived_cl137, zip_derived_cl139,
% 1.31/1.20 zip_derived_cl141, zip_derived_cl150, zip_derived_cl160,
% 1.31/1.20 zip_derived_cl167, zip_derived_cl168, zip_derived_cl171,
% 1.31/1.20 zip_derived_cl172, zip_derived_cl186, zip_derived_cl210])).
% 1.31/1.20 thf(zip_derived_cl259, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.31/1.20 X14 : $i, X15 : $i, X16 : $i, X17 : $i, X18 : $i, X19 : $i, X20 : $i,
% 1.31/1.20 X21 : $i, X22 : $i, X23 : $i]:
% 1.31/1.20 ( (ssPv21_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)
% 1.31/1.20 | ~ (ssPv26_3r1r1r1 @ X0 @ X1 @ X2)
% 1.31/1.20 | ~ (ssPv18_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.31/1.20 X6 @ X7 @ X8 @ X9 @ X10)
% 1.31/1.20 | ~ (ssPv5_24r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @
% 1.31/1.20 X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @
% 1.31/1.20 X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23))),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl30, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.20 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.20 zip_derived_cl136, zip_derived_cl137, zip_derived_cl139,
% 1.31/1.20 zip_derived_cl141, zip_derived_cl150, zip_derived_cl160,
% 1.31/1.20 zip_derived_cl167, zip_derived_cl168, zip_derived_cl171,
% 1.31/1.20 zip_derived_cl172, zip_derived_cl186, zip_derived_cl210,
% 1.31/1.20 zip_derived_cl221])).
% 1.31/1.20 thf(zip_derived_cl260, plain,
% 1.31/1.20 (![X12 : $i, X13 : $i, X14 : $i, X15 : $i, X16 : $i, X17 : $i, X18 : $i,
% 1.31/1.20 X19 : $i, X20 : $i, X21 : $i, X22 : $i]:
% 1.31/1.20 (~ (ssPv18_11r1r1r1r1r1r1r1r1r1r1r1 @ X22 @ X21 @ X20 @ X19 @ X18 @
% 1.31/1.20 X17 @ X16 @ X15 @ X14 @ X13 @ X12)
% 1.31/1.20 | ~ (ssPv26_3r1r1r1 @ X22 @ X21 @ X20)
% 1.31/1.20 | (ssPv21_8r1r1r1r1r1r1r1r1 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @
% 1.31/1.20 X16 @ X15))),
% 1.31/1.20 inference('sup-', [status(thm)], [zip_derived_cl222, zip_derived_cl259])).
% 1.31/1.20 thf(zip_derived_cl301, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 1.31/1.20 ( (ssPv21_8r1r1r1r1r1r1r1r1 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3)
% 1.31/1.20 | (ssPv15_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X10 @ X9 @ X8 @ X7 @
% 1.31/1.20 X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X13 @ X12 @ X11)
% 1.31/1.20 | (ssPv25_4r1r1r1r1 @ X10 @ X9 @ X8 @ X7)
% 1.31/1.20 | (ssPv21_8r1r1r1r1r1r1r1r1 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3)
% 1.31/1.20 | ~ (ssPv26_3r1r1r1 @ X10 @ X9 @ X8))),
% 1.31/1.20 inference('sup-', [status(thm)], [zip_derived_cl294, zip_derived_cl260])).
% 1.31/1.20 thf(zip_derived_cl302, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 1.31/1.20 (~ (ssPv26_3r1r1r1 @ X10 @ X9 @ X8)
% 1.31/1.20 | (ssPv25_4r1r1r1r1 @ X10 @ X9 @ X8 @ X7)
% 1.31/1.20 | (ssPv15_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X10 @ X9 @ X8 @ X7 @
% 1.31/1.20 X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X13 @ X12 @ X11)
% 1.31/1.20 | (ssPv21_8r1r1r1r1r1r1r1r1 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3))),
% 1.31/1.20 inference('simplify', [status(thm)], [zip_derived_cl301])).
% 1.31/1.20 thf(zip_derived_cl118, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.31/1.20 (ssPv22_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ skc42)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl90, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112])).
% 1.31/1.20 thf(clause33, conjecture,
% 1.31/1.20 (~( ( ssPv13_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 1.31/1.20 skc32 ) |
% 1.31/1.20 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.31/1.20 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 1.31/1.20 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.31/1.20 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.31/1.20 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.31/1.20 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 1.31/1.20 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 1.31/1.20 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 1.31/1.20 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 1.31/1.20 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 1.31/1.20 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 1.31/1.20 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 1.31/1.20 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 1.31/1.20 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) ))).
% 1.31/1.20 thf(zf_stmt_37, negated_conjecture,
% 1.31/1.20 (( ssPv13_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 1.31/1.20 skc32 ) |
% 1.31/1.20 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.31/1.20 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.31/1.20 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.31/1.20 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.31/1.20 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 1.31/1.20 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 1.31/1.20 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 1.31/1.20 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 1.31/1.20 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 1.31/1.20 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 1.31/1.20 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 1.31/1.20 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 1.31/1.20 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) )),
% 1.31/1.20 inference('cnf.neg', [status(esa)], [clause33])).
% 1.31/1.20 thf(zip_derived_cl69, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.31/1.20 X14 : $i]:
% 1.31/1.20 ( (ssPv13_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 1.31/1.20 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ skc32)
% 1.31/1.20 | ~ (ssNder1_0)
% 1.31/1.20 | ~ (ssNder1_1r1 @ X0)
% 1.31/1.20 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 1.31/1.20 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 1.31/1.20 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 1.31/1.20 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 1.31/1.20 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 1.31/1.20 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 1.31/1.20 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.31/1.20 X7)
% 1.31/1.20 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.31/1.20 X6 @ X7 @ X8)
% 1.31/1.20 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.31/1.20 X6 @ X7 @ X8 @ X9)
% 1.31/1.20 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.31/1.20 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 1.31/1.20 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.31/1.20 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 1.31/1.20 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.31/1.20 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 1.31/1.20 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 1.31/1.20 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13))),
% 1.31/1.20 inference('cnf', [status(esa)], [zf_stmt_37])).
% 1.31/1.20 thf(zip_derived_cl101, plain, ( (ssNder1_0)),
% 1.31/1.20 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.31/1.20 thf(zip_derived_cl107, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 1.31/1.20 inference('demod', [status(thm)], [zip_derived_cl100, zip_derived_cl101])).
% 1.31/1.20 thf(zip_derived_cl108, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl99, zip_derived_cl101, zip_derived_cl107])).
% 1.31/1.20 thf(zip_derived_cl109, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl98, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108])).
% 1.31/1.20 thf(zip_derived_cl110, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.31/1.20 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl97, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109])).
% 1.31/1.20 thf(zip_derived_cl112, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.31/1.20 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl94, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110])).
% 1.31/1.20 thf(zip_derived_cl114, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.31/1.20 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl91, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112])).
% 1.31/1.20 thf(zip_derived_cl121, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 1.31/1.20 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl88, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114])).
% 1.31/1.20 thf(zip_derived_cl122, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 1.31/1.20 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl85, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121])).
% 1.31/1.20 thf(zip_derived_cl123, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i]:
% 1.31/1.20 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.31/1.20 X7 @ X8)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl84, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.20 zip_derived_cl122])).
% 1.31/1.20 thf(zip_derived_cl129, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i, X9 : $i]:
% 1.31/1.20 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.31/1.20 X7 @ X8 @ X9)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl83, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.20 zip_derived_cl122, zip_derived_cl123])).
% 1.31/1.20 thf(zip_derived_cl136, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 1.31/1.20 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.31/1.20 X6 @ X7 @ X8 @ X9 @ X10)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl81, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.20 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129])).
% 1.31/1.20 thf(zip_derived_cl137, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 1.31/1.20 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.31/1.20 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl80, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.20 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.20 zip_derived_cl136])).
% 1.31/1.20 thf(zip_derived_cl139, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 1.31/1.20 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.31/1.20 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl77, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.20 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.20 zip_derived_cl136, zip_derived_cl137])).
% 1.31/1.20 thf(zip_derived_cl141, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 1.31/1.20 (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.31/1.20 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl74, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.20 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.20 zip_derived_cl136, zip_derived_cl137, zip_derived_cl139])).
% 1.31/1.20 thf(zip_derived_cl149, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.31/1.20 X14 : $i]:
% 1.31/1.20 (ssPv13_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 1.31/1.20 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ skc32)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl69, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.20 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.20 zip_derived_cl136, zip_derived_cl137, zip_derived_cl139,
% 1.31/1.20 zip_derived_cl141])).
% 1.31/1.20 thf(clause51, conjecture,
% 1.31/1.20 (~( ( ssPv7_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 1.31/1.20 X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ skc28 ) |
% 1.31/1.20 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.31/1.20 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 1.31/1.20 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.31/1.20 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.31/1.20 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.31/1.20 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 1.31/1.20 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 1.31/1.20 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 1.31/1.20 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 1.31/1.20 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 1.31/1.20 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 1.31/1.20 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 1.31/1.20 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 1.31/1.20 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 1.31/1.20 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 1.31/1.20 ( ~( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 1.31/1.20 X9 @ X10 ) ) |
% 1.31/1.20 ( ~( ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 1.31/1.20 X9 @ X10 @ X11 ) ) |
% 1.31/1.20 ( ~( ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 1.31/1.20 X9 @ X10 @ X11 @ X12 ) ) |
% 1.31/1.20 ( ~( ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 1.31/1.20 X9 @ X10 @ X11 @ X12 @ X13 ) ) |
% 1.31/1.20 ( ~( ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 1.31/1.20 X9 @ X10 @ X11 @ X12 @ X13 @ X14 ) ) ))).
% 1.31/1.20 thf(zf_stmt_38, negated_conjecture,
% 1.31/1.20 (( ssPv7_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 1.31/1.20 X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ skc28 ) |
% 1.31/1.20 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.31/1.20 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.31/1.20 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.31/1.20 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.31/1.20 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 1.31/1.20 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 1.31/1.20 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 1.31/1.20 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 1.31/1.20 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 1.31/1.20 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 1.31/1.20 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 1.31/1.20 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 1.31/1.20 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 1.31/1.20 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 1.31/1.20 ( ~( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 1.31/1.20 X10 ) ) |
% 1.31/1.20 ( ~( ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 1.31/1.20 X10 @ X11 ) ) |
% 1.31/1.20 ( ~( ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 1.31/1.20 X10 @ X11 @ X12 ) ) |
% 1.31/1.20 ( ~( ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 1.31/1.20 X10 @ X11 @ X12 @ X13 ) ) |
% 1.31/1.20 ( ~( ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 1.31/1.20 X10 @ X11 @ X12 @ X13 @ X14 ) )),
% 1.31/1.20 inference('cnf.neg', [status(esa)], [clause51])).
% 1.31/1.20 thf(zip_derived_cl51, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.31/1.20 X14 : $i, X15 : $i, X16 : $i, X17 : $i, X18 : $i, X19 : $i, X20 : $i]:
% 1.31/1.20 ( (ssPv7_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @
% 1.31/1.20 X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 1.31/1.20 X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ skc28)
% 1.31/1.20 | ~ (ssNder1_0)
% 1.31/1.20 | ~ (ssNder1_1r1 @ X0)
% 1.31/1.20 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 1.31/1.20 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 1.31/1.20 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 1.31/1.20 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 1.31/1.20 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 1.31/1.20 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 1.31/1.20 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.31/1.20 X7)
% 1.31/1.20 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.31/1.20 X6 @ X7 @ X8)
% 1.31/1.20 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.31/1.20 X6 @ X7 @ X8 @ X9)
% 1.31/1.20 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.31/1.20 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 1.31/1.20 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.31/1.20 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 1.31/1.20 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.31/1.20 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 1.31/1.20 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 1.31/1.20 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 1.31/1.20 | ~ (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 1.31/1.20 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 1.31/1.20 | ~ (ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 1.31/1.20 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 1.31/1.20 X14 @ X15)
% 1.31/1.20 | ~ (ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 1.31/1.20 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 1.31/1.20 X14 @ X15 @ X16)
% 1.31/1.20 | ~ (ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 1.31/1.20 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 1.31/1.20 X14 @ X15 @ X16 @ X17)
% 1.31/1.20 | ~ (ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @
% 1.31/1.20 X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 1.31/1.20 X14 @ X15 @ X16 @ X17 @ X18)
% 1.31/1.20 | ~ (ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @
% 1.31/1.20 X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 1.31/1.20 X14 @ X15 @ X16 @ X17 @ X18 @ X19))),
% 1.31/1.20 inference('cnf', [status(esa)], [zf_stmt_38])).
% 1.31/1.20 thf(zip_derived_cl101, plain, ( (ssNder1_0)),
% 1.31/1.20 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.31/1.20 thf(zip_derived_cl107, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 1.31/1.20 inference('demod', [status(thm)], [zip_derived_cl100, zip_derived_cl101])).
% 1.31/1.20 thf(zip_derived_cl108, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl99, zip_derived_cl101, zip_derived_cl107])).
% 1.31/1.20 thf(zip_derived_cl109, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl98, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108])).
% 1.31/1.20 thf(zip_derived_cl110, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.31/1.20 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl97, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109])).
% 1.31/1.20 thf(zip_derived_cl112, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.31/1.20 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl94, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110])).
% 1.31/1.20 thf(zip_derived_cl114, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.31/1.20 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl91, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112])).
% 1.31/1.20 thf(zip_derived_cl121, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 1.31/1.20 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl88, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114])).
% 1.31/1.20 thf(zip_derived_cl122, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 1.31/1.20 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl85, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121])).
% 1.31/1.20 thf(zip_derived_cl123, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i]:
% 1.31/1.20 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.31/1.20 X7 @ X8)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl84, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.20 zip_derived_cl122])).
% 1.31/1.20 thf(zip_derived_cl129, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i, X9 : $i]:
% 1.31/1.20 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.31/1.20 X7 @ X8 @ X9)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl83, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.20 zip_derived_cl122, zip_derived_cl123])).
% 1.31/1.20 thf(zip_derived_cl136, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 1.31/1.20 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.31/1.20 X6 @ X7 @ X8 @ X9 @ X10)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl81, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.20 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129])).
% 1.31/1.20 thf(zip_derived_cl137, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 1.31/1.20 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.31/1.20 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl80, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.20 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.20 zip_derived_cl136])).
% 1.31/1.20 thf(zip_derived_cl139, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 1.31/1.20 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.31/1.20 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl77, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.20 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.20 zip_derived_cl136, zip_derived_cl137])).
% 1.31/1.20 thf(zip_derived_cl141, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 1.31/1.20 (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.31/1.20 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl74, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.20 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.20 zip_derived_cl136, zip_derived_cl137, zip_derived_cl139])).
% 1.31/1.20 thf(zip_derived_cl150, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.31/1.20 X14 : $i]:
% 1.31/1.20 (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.31/1.20 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl70, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.20 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.20 zip_derived_cl136, zip_derived_cl137, zip_derived_cl139,
% 1.31/1.20 zip_derived_cl141])).
% 1.31/1.20 thf(zip_derived_cl160, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.31/1.20 X14 : $i, X15 : $i]:
% 1.31/1.20 (ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 1.31/1.20 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl67, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.20 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.20 zip_derived_cl136, zip_derived_cl137, zip_derived_cl139,
% 1.31/1.20 zip_derived_cl141, zip_derived_cl150])).
% 1.31/1.20 thf(zip_derived_cl167, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.31/1.20 X14 : $i, X15 : $i, X16 : $i]:
% 1.31/1.20 (ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 1.31/1.20 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @
% 1.31/1.20 X16)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl64, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.20 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.20 zip_derived_cl136, zip_derived_cl137, zip_derived_cl139,
% 1.31/1.20 zip_derived_cl141, zip_derived_cl150, zip_derived_cl160])).
% 1.31/1.20 thf(zip_derived_cl168, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.31/1.20 X14 : $i, X15 : $i, X16 : $i, X17 : $i]:
% 1.31/1.20 (ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 1.31/1.20 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @
% 1.31/1.20 X15 @ X16 @ X17)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl63, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.20 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.20 zip_derived_cl136, zip_derived_cl137, zip_derived_cl139,
% 1.31/1.20 zip_derived_cl141, zip_derived_cl150, zip_derived_cl160,
% 1.31/1.20 zip_derived_cl167])).
% 1.31/1.20 thf(zip_derived_cl171, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.31/1.20 X14 : $i, X15 : $i, X16 : $i, X17 : $i, X18 : $i]:
% 1.31/1.20 (ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 1.31/1.20 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @
% 1.31/1.20 X15 @ X16 @ X17 @ X18)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl61, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.20 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.20 zip_derived_cl136, zip_derived_cl137, zip_derived_cl139,
% 1.31/1.20 zip_derived_cl141, zip_derived_cl150, zip_derived_cl160,
% 1.31/1.20 zip_derived_cl167, zip_derived_cl168])).
% 1.31/1.20 thf(zip_derived_cl172, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.31/1.20 X14 : $i, X15 : $i, X16 : $i, X17 : $i, X18 : $i, X19 : $i]:
% 1.31/1.20 (ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 1.31/1.20 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @
% 1.31/1.20 X15 @ X16 @ X17 @ X18 @ X19)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl57, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.20 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.20 zip_derived_cl136, zip_derived_cl137, zip_derived_cl139,
% 1.31/1.20 zip_derived_cl141, zip_derived_cl150, zip_derived_cl160,
% 1.31/1.20 zip_derived_cl167, zip_derived_cl168, zip_derived_cl171])).
% 1.31/1.20 thf(zip_derived_cl189, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.31/1.20 X14 : $i, X15 : $i, X16 : $i, X17 : $i, X18 : $i, X19 : $i, X20 : $i]:
% 1.31/1.20 (ssPv7_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @
% 1.31/1.20 X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 1.31/1.20 X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ skc28)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl51, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.20 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.20 zip_derived_cl136, zip_derived_cl137, zip_derived_cl139,
% 1.31/1.20 zip_derived_cl141, zip_derived_cl150, zip_derived_cl160,
% 1.31/1.20 zip_derived_cl167, zip_derived_cl168, zip_derived_cl171,
% 1.31/1.20 zip_derived_cl172])).
% 1.31/1.20 thf(clause69, conjecture,
% 1.31/1.20 (~( ( ssPv25_4r1r1r1r1 @ U @ V @ W @ X ) |
% 1.31/1.20 ( ssPv11_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 1.31/1.20 X10 @ X11 @ X12 ) |
% 1.31/1.20 ( ssPv6_23r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 1.31/1.20 X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 ) |
% 1.31/1.20 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.31/1.20 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 1.31/1.20 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.31/1.20 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.31/1.20 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.31/1.20 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 1.31/1.20 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 1.31/1.20 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 1.31/1.20 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 1.31/1.20 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 1.31/1.20 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 1.31/1.20 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 1.31/1.20 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 1.31/1.20 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 1.31/1.20 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 1.31/1.20 ( ~( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 1.31/1.20 X9 @ X10 ) ) |
% 1.31/1.20 ( ~( ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 1.31/1.20 X9 @ X10 @ X11 ) ) |
% 1.31/1.20 ( ~( ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 1.31/1.20 X9 @ X10 @ X11 @ X12 ) ) |
% 1.31/1.20 ( ~( ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 1.31/1.20 X9 @ X10 @ X11 @ X12 @ X13 ) ) |
% 1.31/1.20 ( ~( ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 1.31/1.20 X9 @ X10 @ X11 @ X12 @ X13 @ X14 ) ) |
% 1.31/1.20 ( ~( ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 1.31/1.20 X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 ) ) |
% 1.31/1.20 ( ~( ssNder1_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 1.31/1.20 X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 ) ) |
% 1.31/1.20 ( ~( ssPv7_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 1.31/1.20 X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 ) ) ))).
% 1.31/1.20 thf(zf_stmt_39, negated_conjecture,
% 1.31/1.20 (( ssPv25_4r1r1r1r1 @ U @ V @ W @ X ) |
% 1.31/1.20 ( ssPv11_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 1.31/1.20 X10 @ X11 @ X12 ) |
% 1.31/1.20 ( ssPv6_23r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 1.31/1.20 X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 ) |
% 1.31/1.20 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.31/1.20 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.31/1.20 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.31/1.20 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.31/1.20 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 1.31/1.20 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 1.31/1.20 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 1.31/1.20 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 1.31/1.20 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 1.31/1.20 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 1.31/1.20 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 1.31/1.20 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 1.31/1.20 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 1.31/1.20 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 1.31/1.20 ( ~( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 1.31/1.20 X10 ) ) |
% 1.31/1.20 ( ~( ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 1.31/1.20 X10 @ X11 ) ) |
% 1.31/1.20 ( ~( ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 1.31/1.20 X10 @ X11 @ X12 ) ) |
% 1.31/1.20 ( ~( ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 1.31/1.20 X10 @ X11 @ X12 @ X13 ) ) |
% 1.31/1.20 ( ~( ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 1.31/1.20 X10 @ X11 @ X12 @ X13 @ X14 ) ) |
% 1.31/1.20 ( ~( ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 1.31/1.20 X10 @ X11 @ X12 @ X13 @ X14 @ X15 ) ) |
% 1.31/1.20 ( ~( ssNder1_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 1.31/1.20 X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 ) ) |
% 1.31/1.20 ( ~( ssPv7_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 1.31/1.20 X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 ) )),
% 1.31/1.20 inference('cnf.neg', [status(esa)], [clause69])).
% 1.31/1.20 thf(zip_derived_cl33, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.31/1.20 X14 : $i, X15 : $i, X16 : $i, X17 : $i, X18 : $i, X19 : $i, X20 : $i,
% 1.31/1.20 X21 : $i, X22 : $i]:
% 1.31/1.20 ( (ssPv25_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 1.31/1.20 | (ssPv11_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 1.31/1.20 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @
% 1.31/1.20 X15 @ X16 @ X17)
% 1.31/1.20 | (ssPv6_23r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @
% 1.31/1.20 X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @
% 1.31/1.20 X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22)
% 1.31/1.20 | ~ (ssNder1_0)
% 1.31/1.20 | ~ (ssNder1_1r1 @ X0)
% 1.31/1.20 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 1.31/1.20 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 1.31/1.20 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 1.31/1.20 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 1.31/1.20 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 1.31/1.20 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 1.31/1.20 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.31/1.20 X7)
% 1.31/1.20 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.31/1.20 X6 @ X7 @ X8)
% 1.31/1.20 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.31/1.20 X6 @ X7 @ X8 @ X9)
% 1.31/1.20 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.31/1.20 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 1.31/1.20 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.31/1.20 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 1.31/1.20 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.31/1.20 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 1.31/1.20 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 1.31/1.20 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 1.31/1.20 | ~ (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 1.31/1.20 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 1.31/1.20 | ~ (ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 1.31/1.20 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 1.31/1.20 X14 @ X15)
% 1.31/1.20 | ~ (ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 1.31/1.20 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 1.31/1.20 X14 @ X15 @ X16)
% 1.31/1.20 | ~ (ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 1.31/1.20 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 1.31/1.20 X14 @ X15 @ X16 @ X17)
% 1.31/1.20 | ~ (ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @
% 1.31/1.20 X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 1.31/1.20 X14 @ X15 @ X16 @ X17 @ X18)
% 1.31/1.20 | ~ (ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @
% 1.31/1.20 X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 1.31/1.20 X14 @ X15 @ X16 @ X17 @ X18 @ X19)
% 1.31/1.20 | ~ (ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @
% 1.31/1.20 X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @
% 1.31/1.20 X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20)
% 1.31/1.20 | ~ (ssNder1_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @
% 1.31/1.20 X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @
% 1.31/1.20 X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21)
% 1.31/1.20 | ~ (ssPv7_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @
% 1.31/1.20 X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @
% 1.31/1.20 X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21))),
% 1.31/1.20 inference('cnf', [status(esa)], [zf_stmt_39])).
% 1.31/1.20 thf(zip_derived_cl101, plain, ( (ssNder1_0)),
% 1.31/1.20 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.31/1.20 thf(zip_derived_cl107, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 1.31/1.20 inference('demod', [status(thm)], [zip_derived_cl100, zip_derived_cl101])).
% 1.31/1.20 thf(zip_derived_cl108, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl99, zip_derived_cl101, zip_derived_cl107])).
% 1.31/1.20 thf(zip_derived_cl109, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl98, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108])).
% 1.31/1.20 thf(zip_derived_cl110, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.31/1.20 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl97, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109])).
% 1.31/1.20 thf(zip_derived_cl112, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.31/1.20 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl94, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110])).
% 1.31/1.20 thf(zip_derived_cl114, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.31/1.20 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl91, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112])).
% 1.31/1.20 thf(zip_derived_cl121, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 1.31/1.20 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl88, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114])).
% 1.31/1.20 thf(zip_derived_cl122, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 1.31/1.20 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl85, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121])).
% 1.31/1.20 thf(zip_derived_cl123, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i]:
% 1.31/1.20 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.31/1.20 X7 @ X8)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl84, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.20 zip_derived_cl122])).
% 1.31/1.20 thf(zip_derived_cl129, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i, X9 : $i]:
% 1.31/1.20 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.31/1.20 X7 @ X8 @ X9)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl83, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.20 zip_derived_cl122, zip_derived_cl123])).
% 1.31/1.20 thf(zip_derived_cl136, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 1.31/1.20 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.31/1.20 X6 @ X7 @ X8 @ X9 @ X10)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl81, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.20 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129])).
% 1.31/1.20 thf(zip_derived_cl137, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 1.31/1.20 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.31/1.20 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl80, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.20 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.20 zip_derived_cl136])).
% 1.31/1.20 thf(zip_derived_cl139, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 1.31/1.20 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.31/1.20 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl77, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.20 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.20 zip_derived_cl136, zip_derived_cl137])).
% 1.31/1.20 thf(zip_derived_cl141, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 1.31/1.20 (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.31/1.20 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl74, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.20 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.20 zip_derived_cl136, zip_derived_cl137, zip_derived_cl139])).
% 1.31/1.20 thf(zip_derived_cl150, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.31/1.20 X14 : $i]:
% 1.31/1.20 (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.31/1.20 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl70, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.20 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.20 zip_derived_cl136, zip_derived_cl137, zip_derived_cl139,
% 1.31/1.20 zip_derived_cl141])).
% 1.31/1.20 thf(zip_derived_cl160, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.31/1.20 X14 : $i, X15 : $i]:
% 1.31/1.20 (ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 1.31/1.20 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl67, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.20 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.20 zip_derived_cl136, zip_derived_cl137, zip_derived_cl139,
% 1.31/1.20 zip_derived_cl141, zip_derived_cl150])).
% 1.31/1.20 thf(zip_derived_cl167, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.31/1.20 X14 : $i, X15 : $i, X16 : $i]:
% 1.31/1.20 (ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 1.31/1.20 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @
% 1.31/1.20 X16)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl64, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.20 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.20 zip_derived_cl136, zip_derived_cl137, zip_derived_cl139,
% 1.31/1.20 zip_derived_cl141, zip_derived_cl150, zip_derived_cl160])).
% 1.31/1.20 thf(zip_derived_cl168, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.31/1.20 X14 : $i, X15 : $i, X16 : $i, X17 : $i]:
% 1.31/1.20 (ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 1.31/1.20 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @
% 1.31/1.20 X15 @ X16 @ X17)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl63, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.20 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.20 zip_derived_cl136, zip_derived_cl137, zip_derived_cl139,
% 1.31/1.20 zip_derived_cl141, zip_derived_cl150, zip_derived_cl160,
% 1.31/1.20 zip_derived_cl167])).
% 1.31/1.20 thf(zip_derived_cl171, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.31/1.20 X14 : $i, X15 : $i, X16 : $i, X17 : $i, X18 : $i]:
% 1.31/1.20 (ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 1.31/1.20 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @
% 1.31/1.20 X15 @ X16 @ X17 @ X18)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl61, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.20 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.20 zip_derived_cl136, zip_derived_cl137, zip_derived_cl139,
% 1.31/1.20 zip_derived_cl141, zip_derived_cl150, zip_derived_cl160,
% 1.31/1.20 zip_derived_cl167, zip_derived_cl168])).
% 1.31/1.20 thf(zip_derived_cl172, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.31/1.20 X14 : $i, X15 : $i, X16 : $i, X17 : $i, X18 : $i, X19 : $i]:
% 1.31/1.20 (ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 1.31/1.20 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @
% 1.31/1.20 X15 @ X16 @ X17 @ X18 @ X19)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl57, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.20 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.20 zip_derived_cl136, zip_derived_cl137, zip_derived_cl139,
% 1.31/1.20 zip_derived_cl141, zip_derived_cl150, zip_derived_cl160,
% 1.31/1.20 zip_derived_cl167, zip_derived_cl168, zip_derived_cl171])).
% 1.31/1.20 thf(zip_derived_cl186, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.31/1.20 X14 : $i, X15 : $i, X16 : $i, X17 : $i, X18 : $i, X19 : $i, X20 : $i]:
% 1.31/1.20 (ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @
% 1.31/1.20 X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 1.31/1.20 X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl52, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.20 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.20 zip_derived_cl136, zip_derived_cl137, zip_derived_cl139,
% 1.31/1.20 zip_derived_cl141, zip_derived_cl150, zip_derived_cl160,
% 1.31/1.20 zip_derived_cl167, zip_derived_cl168, zip_derived_cl171,
% 1.31/1.20 zip_derived_cl172])).
% 1.31/1.20 thf(zip_derived_cl210, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.31/1.20 X14 : $i, X15 : $i, X16 : $i, X17 : $i, X18 : $i, X19 : $i, X20 : $i,
% 1.31/1.20 X21 : $i]:
% 1.31/1.20 (ssNder1_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @
% 1.31/1.20 X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 1.31/1.20 X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21)),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl45, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.20 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.20 zip_derived_cl136, zip_derived_cl137, zip_derived_cl139,
% 1.31/1.20 zip_derived_cl141, zip_derived_cl150, zip_derived_cl160,
% 1.31/1.20 zip_derived_cl167, zip_derived_cl168, zip_derived_cl171,
% 1.31/1.20 zip_derived_cl172, zip_derived_cl186])).
% 1.31/1.20 thf(zip_derived_cl281, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.31/1.20 X14 : $i, X15 : $i, X16 : $i, X17 : $i, X18 : $i, X19 : $i, X20 : $i,
% 1.31/1.20 X21 : $i, X22 : $i]:
% 1.31/1.20 ( (ssPv25_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 1.31/1.20 | (ssPv11_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 1.31/1.20 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @
% 1.31/1.20 X15 @ X16 @ X17)
% 1.31/1.20 | (ssPv6_23r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @
% 1.31/1.20 X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @
% 1.31/1.20 X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22)
% 1.31/1.20 | ~ (ssPv7_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @
% 1.31/1.20 X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @
% 1.31/1.20 X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21))),
% 1.31/1.20 inference('demod', [status(thm)],
% 1.31/1.20 [zip_derived_cl33, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.20 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.20 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.20 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.20 zip_derived_cl136, zip_derived_cl137, zip_derived_cl139,
% 1.31/1.20 zip_derived_cl141, zip_derived_cl150, zip_derived_cl160,
% 1.31/1.20 zip_derived_cl167, zip_derived_cl168, zip_derived_cl171,
% 1.31/1.20 zip_derived_cl172, zip_derived_cl186, zip_derived_cl210])).
% 1.31/1.20 thf(clause59, conjecture,
% 1.31/1.20 (~( ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.31/1.20 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 1.31/1.20 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.31/1.20 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.31/1.20 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.31/1.20 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 1.31/1.20 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 1.31/1.20 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 1.31/1.20 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 1.31/1.20 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 1.31/1.20 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 1.31/1.20 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 1.31/1.20 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 1.31/1.20 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 1.31/1.20 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 1.31/1.20 ( ~( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 1.31/1.20 X9 @ X10 ) ) |
% 1.31/1.20 ( ~( ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 1.31/1.20 X9 @ X10 @ X11 ) ) |
% 1.31/1.20 ( ~( ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 1.31/1.20 X9 @ X10 @ X11 @ X12 ) ) |
% 1.31/1.20 ( ~( ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 1.31/1.20 X9 @ X10 @ X11 @ X12 @ X13 ) ) |
% 1.31/1.20 ( ~( ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 1.31/1.20 X9 @ X10 @ X11 @ X12 @ X13 @ X14 ) ) |
% 1.31/1.20 ( ~( ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 1.31/1.20 X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 ) ) |
% 1.31/1.20 ( ~( ssPv6_23r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 1.31/1.20 X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ skc27 ) ) ))).
% 1.31/1.20 thf(zf_stmt_40, negated_conjecture,
% 1.31/1.20 (( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.31/1.20 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.31/1.20 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.31/1.20 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.31/1.20 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 1.31/1.20 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 1.31/1.20 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 1.31/1.20 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 1.31/1.20 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 1.31/1.20 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 1.31/1.20 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 1.31/1.20 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 1.31/1.20 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 1.31/1.20 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 1.31/1.20 ( ~( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 1.31/1.20 X10 ) ) |
% 1.31/1.20 ( ~( ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 1.31/1.20 X10 @ X11 ) ) |
% 1.31/1.20 ( ~( ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 1.31/1.20 X10 @ X11 @ X12 ) ) |
% 1.31/1.20 ( ~( ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 1.31/1.20 X10 @ X11 @ X12 @ X13 ) ) |
% 1.31/1.20 ( ~( ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 1.31/1.20 X10 @ X11 @ X12 @ X13 @ X14 ) ) |
% 1.31/1.20 ( ~( ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 1.31/1.20 X10 @ X11 @ X12 @ X13 @ X14 @ X15 ) ) |
% 1.31/1.20 ( ~( ssPv6_23r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.20 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 1.31/1.20 X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ skc27 ) )),
% 1.31/1.20 inference('cnf.neg', [status(esa)], [clause59])).
% 1.31/1.20 thf(zip_derived_cl43, plain,
% 1.31/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.20 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.31/1.20 X14 : $i, X15 : $i, X16 : $i, X17 : $i, X18 : $i, X19 : $i, X20 : $i,
% 1.31/1.20 X21 : $i]:
% 1.31/1.20 (~ (ssNder1_0)
% 1.31/1.20 | ~ (ssNder1_1r1 @ X0)
% 1.31/1.20 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 1.31/1.20 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 1.31/1.20 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 1.31/1.20 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 1.31/1.20 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 1.31/1.20 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 1.31/1.20 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.31/1.20 X7)
% 1.31/1.20 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.31/1.20 X6 @ X7 @ X8)
% 1.31/1.20 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.31/1.20 X6 @ X7 @ X8 @ X9)
% 1.31/1.20 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.31/1.20 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 1.31/1.20 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.31/1.20 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 1.31/1.20 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.31/1.20 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 1.31/1.20 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 1.31/1.20 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 1.31/1.20 | ~ (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 1.31/1.20 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 1.31/1.20 | ~ (ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 1.31/1.20 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 1.31/1.20 X14 @ X15)
% 1.31/1.20 | ~ (ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 1.31/1.21 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 1.31/1.21 X14 @ X15 @ X16)
% 1.31/1.21 | ~ (ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 1.31/1.21 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 1.31/1.21 X14 @ X15 @ X16 @ X17)
% 1.31/1.21 | ~ (ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @
% 1.31/1.21 X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 1.31/1.21 X14 @ X15 @ X16 @ X17 @ X18)
% 1.31/1.21 | ~ (ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @
% 1.31/1.21 X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 1.31/1.21 X14 @ X15 @ X16 @ X17 @ X18 @ X19)
% 1.31/1.21 | ~ (ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @
% 1.31/1.21 X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @
% 1.31/1.21 X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20)
% 1.31/1.21 | ~ (ssPv6_23r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @
% 1.31/1.21 X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @
% 1.31/1.21 X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ skc27))),
% 1.31/1.21 inference('cnf', [status(esa)], [zf_stmt_40])).
% 1.31/1.21 thf(zip_derived_cl101, plain, ( (ssNder1_0)),
% 1.31/1.21 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.31/1.21 thf(zip_derived_cl107, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 1.31/1.21 inference('demod', [status(thm)], [zip_derived_cl100, zip_derived_cl101])).
% 1.31/1.21 thf(zip_derived_cl108, plain,
% 1.31/1.21 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 1.31/1.21 inference('demod', [status(thm)],
% 1.31/1.21 [zip_derived_cl99, zip_derived_cl101, zip_derived_cl107])).
% 1.31/1.21 thf(zip_derived_cl109, plain,
% 1.31/1.21 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 1.31/1.21 inference('demod', [status(thm)],
% 1.31/1.21 [zip_derived_cl98, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.21 zip_derived_cl108])).
% 1.31/1.21 thf(zip_derived_cl110, plain,
% 1.31/1.21 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.31/1.21 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 1.31/1.21 inference('demod', [status(thm)],
% 1.31/1.21 [zip_derived_cl97, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.21 zip_derived_cl108, zip_derived_cl109])).
% 1.31/1.21 thf(zip_derived_cl112, plain,
% 1.31/1.21 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.31/1.21 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 1.31/1.21 inference('demod', [status(thm)],
% 1.31/1.21 [zip_derived_cl94, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.21 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110])).
% 1.31/1.21 thf(zip_derived_cl114, plain,
% 1.31/1.21 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.31/1.21 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 1.31/1.21 inference('demod', [status(thm)],
% 1.31/1.21 [zip_derived_cl91, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.21 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.21 zip_derived_cl112])).
% 1.31/1.21 thf(zip_derived_cl121, plain,
% 1.31/1.21 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 1.31/1.21 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 1.31/1.21 inference('demod', [status(thm)],
% 1.31/1.21 [zip_derived_cl88, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.21 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.21 zip_derived_cl112, zip_derived_cl114])).
% 1.31/1.21 thf(zip_derived_cl122, plain,
% 1.31/1.21 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 1.31/1.21 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 1.31/1.21 inference('demod', [status(thm)],
% 1.31/1.21 [zip_derived_cl85, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.21 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.21 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121])).
% 1.31/1.21 thf(zip_derived_cl123, plain,
% 1.31/1.21 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.21 X7 : $i, X8 : $i]:
% 1.31/1.21 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.31/1.21 X7 @ X8)),
% 1.31/1.21 inference('demod', [status(thm)],
% 1.31/1.21 [zip_derived_cl84, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.21 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.21 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.21 zip_derived_cl122])).
% 1.31/1.21 thf(zip_derived_cl129, plain,
% 1.31/1.21 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.21 X7 : $i, X8 : $i, X9 : $i]:
% 1.31/1.21 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.31/1.21 X7 @ X8 @ X9)),
% 1.31/1.21 inference('demod', [status(thm)],
% 1.31/1.21 [zip_derived_cl83, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.21 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.21 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.21 zip_derived_cl122, zip_derived_cl123])).
% 1.31/1.21 thf(zip_derived_cl136, plain,
% 1.31/1.21 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.21 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 1.31/1.21 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.31/1.21 X6 @ X7 @ X8 @ X9 @ X10)),
% 1.31/1.21 inference('demod', [status(thm)],
% 1.31/1.21 [zip_derived_cl81, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.21 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.21 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.21 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129])).
% 1.31/1.21 thf(zip_derived_cl137, plain,
% 1.31/1.21 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.21 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 1.31/1.21 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.31/1.21 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 1.31/1.21 inference('demod', [status(thm)],
% 1.31/1.21 [zip_derived_cl80, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.21 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.21 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.21 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.21 zip_derived_cl136])).
% 1.31/1.21 thf(zip_derived_cl139, plain,
% 1.31/1.21 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.21 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 1.31/1.21 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.31/1.21 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 1.31/1.21 inference('demod', [status(thm)],
% 1.31/1.21 [zip_derived_cl77, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.21 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.21 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.21 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.21 zip_derived_cl136, zip_derived_cl137])).
% 1.31/1.21 thf(zip_derived_cl141, plain,
% 1.31/1.21 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.21 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 1.31/1.21 (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.31/1.21 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)),
% 1.31/1.21 inference('demod', [status(thm)],
% 1.31/1.21 [zip_derived_cl74, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.21 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.21 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.21 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.21 zip_derived_cl136, zip_derived_cl137, zip_derived_cl139])).
% 1.31/1.21 thf(zip_derived_cl150, plain,
% 1.31/1.21 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.21 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.31/1.21 X14 : $i]:
% 1.31/1.21 (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.31/1.21 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)),
% 1.31/1.21 inference('demod', [status(thm)],
% 1.31/1.21 [zip_derived_cl70, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.21 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.21 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.21 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.21 zip_derived_cl136, zip_derived_cl137, zip_derived_cl139,
% 1.31/1.21 zip_derived_cl141])).
% 1.31/1.21 thf(zip_derived_cl156, plain,
% 1.31/1.21 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.21 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.31/1.21 X14 : $i, X15 : $i, X16 : $i, X17 : $i, X18 : $i, X19 : $i, X20 : $i,
% 1.31/1.21 X21 : $i]:
% 1.31/1.21 (~ (ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 1.31/1.21 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15)
% 1.31/1.21 | ~ (ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 1.31/1.21 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 1.31/1.21 X14 @ X15 @ X16)
% 1.31/1.21 | ~ (ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 1.31/1.21 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 1.31/1.21 X14 @ X15 @ X16 @ X17)
% 1.31/1.21 | ~ (ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @
% 1.31/1.21 X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 1.31/1.21 X14 @ X15 @ X16 @ X17 @ X18)
% 1.31/1.21 | ~ (ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @
% 1.31/1.21 X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 1.31/1.21 X14 @ X15 @ X16 @ X17 @ X18 @ X19)
% 1.31/1.21 | ~ (ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @
% 1.31/1.21 X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @
% 1.31/1.21 X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20)
% 1.31/1.21 | ~ (ssPv6_23r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @
% 1.31/1.21 X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @
% 1.31/1.21 X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ skc27))),
% 1.31/1.21 inference('demod', [status(thm)],
% 1.31/1.21 [zip_derived_cl43, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.21 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.21 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.21 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.21 zip_derived_cl136, zip_derived_cl137, zip_derived_cl139,
% 1.31/1.21 zip_derived_cl141, zip_derived_cl150])).
% 1.31/1.21 thf(zip_derived_cl160, plain,
% 1.31/1.21 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.21 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.31/1.21 X14 : $i, X15 : $i]:
% 1.31/1.21 (ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 1.31/1.21 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15)),
% 1.31/1.21 inference('demod', [status(thm)],
% 1.31/1.21 [zip_derived_cl67, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.21 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.21 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.21 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.21 zip_derived_cl136, zip_derived_cl137, zip_derived_cl139,
% 1.31/1.21 zip_derived_cl141, zip_derived_cl150])).
% 1.31/1.21 thf(zip_derived_cl165, plain,
% 1.31/1.21 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.21 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.31/1.21 X14 : $i, X15 : $i, X16 : $i, X17 : $i, X18 : $i, X19 : $i, X20 : $i,
% 1.31/1.21 X21 : $i]:
% 1.31/1.21 (~ (ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 1.31/1.21 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @
% 1.31/1.21 X15 @ X16)
% 1.31/1.21 | ~ (ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 1.31/1.21 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 1.31/1.21 X14 @ X15 @ X16 @ X17)
% 1.31/1.21 | ~ (ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @
% 1.31/1.21 X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 1.31/1.21 X14 @ X15 @ X16 @ X17 @ X18)
% 1.31/1.21 | ~ (ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @
% 1.31/1.21 X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 1.31/1.21 X14 @ X15 @ X16 @ X17 @ X18 @ X19)
% 1.31/1.21 | ~ (ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @
% 1.31/1.21 X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @
% 1.31/1.21 X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20)
% 1.31/1.21 | ~ (ssPv6_23r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @
% 1.31/1.21 X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @
% 1.31/1.21 X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ skc27))),
% 1.31/1.21 inference('demod', [status(thm)], [zip_derived_cl156, zip_derived_cl160])).
% 1.31/1.21 thf(zip_derived_cl167, plain,
% 1.31/1.21 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.21 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.31/1.21 X14 : $i, X15 : $i, X16 : $i]:
% 1.31/1.21 (ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 1.31/1.21 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @
% 1.31/1.21 X16)),
% 1.31/1.21 inference('demod', [status(thm)],
% 1.31/1.21 [zip_derived_cl64, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.21 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.21 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.21 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.21 zip_derived_cl136, zip_derived_cl137, zip_derived_cl139,
% 1.31/1.21 zip_derived_cl141, zip_derived_cl150, zip_derived_cl160])).
% 1.31/1.21 thf(zip_derived_cl168, plain,
% 1.31/1.21 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.21 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.31/1.21 X14 : $i, X15 : $i, X16 : $i, X17 : $i]:
% 1.31/1.21 (ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 1.31/1.21 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @
% 1.31/1.21 X15 @ X16 @ X17)),
% 1.31/1.21 inference('demod', [status(thm)],
% 1.31/1.21 [zip_derived_cl63, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.21 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.21 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.21 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.21 zip_derived_cl136, zip_derived_cl137, zip_derived_cl139,
% 1.31/1.21 zip_derived_cl141, zip_derived_cl150, zip_derived_cl160,
% 1.31/1.21 zip_derived_cl167])).
% 1.31/1.21 thf(zip_derived_cl171, plain,
% 1.31/1.21 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.21 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.31/1.21 X14 : $i, X15 : $i, X16 : $i, X17 : $i, X18 : $i]:
% 1.31/1.21 (ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 1.31/1.21 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @
% 1.31/1.21 X15 @ X16 @ X17 @ X18)),
% 1.31/1.21 inference('demod', [status(thm)],
% 1.31/1.21 [zip_derived_cl61, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.21 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.21 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.21 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.21 zip_derived_cl136, zip_derived_cl137, zip_derived_cl139,
% 1.31/1.21 zip_derived_cl141, zip_derived_cl150, zip_derived_cl160,
% 1.31/1.21 zip_derived_cl167, zip_derived_cl168])).
% 1.31/1.21 thf(zip_derived_cl172, plain,
% 1.31/1.21 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.21 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.31/1.21 X14 : $i, X15 : $i, X16 : $i, X17 : $i, X18 : $i, X19 : $i]:
% 1.31/1.21 (ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 1.31/1.21 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @
% 1.31/1.21 X15 @ X16 @ X17 @ X18 @ X19)),
% 1.31/1.21 inference('demod', [status(thm)],
% 1.31/1.21 [zip_derived_cl57, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.21 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.21 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.21 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.21 zip_derived_cl136, zip_derived_cl137, zip_derived_cl139,
% 1.31/1.21 zip_derived_cl141, zip_derived_cl150, zip_derived_cl160,
% 1.31/1.21 zip_derived_cl167, zip_derived_cl168, zip_derived_cl171])).
% 1.31/1.21 thf(zip_derived_cl178, plain,
% 1.31/1.21 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.21 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.31/1.21 X14 : $i, X15 : $i, X16 : $i, X17 : $i, X18 : $i, X19 : $i, X20 : $i,
% 1.31/1.21 X21 : $i]:
% 1.31/1.21 (~ (ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @
% 1.31/1.21 X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 1.31/1.21 X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20)
% 1.31/1.21 | ~ (ssPv6_23r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @
% 1.31/1.21 X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @
% 1.31/1.21 X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ skc27))),
% 1.31/1.21 inference('demod', [status(thm)],
% 1.31/1.21 [zip_derived_cl165, zip_derived_cl167, zip_derived_cl168,
% 1.31/1.21 zip_derived_cl171, zip_derived_cl172])).
% 1.31/1.21 thf(zip_derived_cl186, plain,
% 1.31/1.21 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.21 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.31/1.21 X14 : $i, X15 : $i, X16 : $i, X17 : $i, X18 : $i, X19 : $i, X20 : $i]:
% 1.31/1.21 (ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @
% 1.31/1.21 X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 1.31/1.21 X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20)),
% 1.31/1.21 inference('demod', [status(thm)],
% 1.31/1.21 [zip_derived_cl52, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.21 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.21 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.21 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.21 zip_derived_cl136, zip_derived_cl137, zip_derived_cl139,
% 1.31/1.21 zip_derived_cl141, zip_derived_cl150, zip_derived_cl160,
% 1.31/1.21 zip_derived_cl167, zip_derived_cl168, zip_derived_cl171,
% 1.31/1.21 zip_derived_cl172])).
% 1.31/1.21 thf(zip_derived_cl187, plain,
% 1.31/1.21 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.21 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.31/1.21 X14 : $i, X15 : $i, X16 : $i, X17 : $i, X18 : $i, X19 : $i, X20 : $i,
% 1.31/1.21 X21 : $i]:
% 1.31/1.21 ~ (ssPv6_23r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @
% 1.31/1.21 X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 1.31/1.21 X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ skc27)),
% 1.31/1.21 inference('demod', [status(thm)], [zip_derived_cl178, zip_derived_cl186])).
% 1.31/1.21 thf(zip_derived_cl282, plain,
% 1.31/1.21 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.21 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.31/1.21 X14 : $i, X15 : $i, X16 : $i, X17 : $i, X18 : $i, X19 : $i, X20 : $i,
% 1.31/1.21 X21 : $i]:
% 1.31/1.21 (~ (ssPv7_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X21 @
% 1.31/1.21 X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @
% 1.31/1.21 X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 1.31/1.21 | (ssPv11_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X21 @ X20 @
% 1.31/1.21 X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @
% 1.31/1.21 X8 @ X7 @ X6 @ X5 @ X4)
% 1.31/1.21 | (ssPv25_4r1r1r1r1 @ X21 @ X20 @ X19 @ X18))),
% 1.31/1.21 inference('sup-', [status(thm)], [zip_derived_cl281, zip_derived_cl187])).
% 1.31/1.21 thf(zip_derived_cl283, plain,
% 1.31/1.21 (![X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i, X8 : $i, X9 : $i,
% 1.31/1.21 X10 : $i, X11 : $i, X12 : $i, X13 : $i, X14 : $i, X15 : $i, X16 : $i,
% 1.31/1.21 X17 : $i, X18 : $i, X19 : $i, X20 : $i]:
% 1.31/1.21 ( (ssPv25_4r1r1r1r1 @ X20 @ X19 @ X18 @ X17)
% 1.31/1.21 | (ssPv11_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X20 @ X19 @
% 1.31/1.21 X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @
% 1.31/1.21 X7 @ X6 @ X5 @ X4 @ X3))),
% 1.31/1.21 inference('sup-', [status(thm)], [zip_derived_cl189, zip_derived_cl282])).
% 1.31/1.21 thf(clause44, conjecture,
% 1.31/1.21 (~( ( ssPv26_3r1r1r1 @ U @ V @ W ) | ( ~( ssNder1_0 ) ) |
% 1.31/1.21 ( ~( ssNder1_1r1 @ U ) ) | ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 1.31/1.21 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.31/1.21 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.31/1.21 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.31/1.21 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 1.31/1.21 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 1.31/1.21 ( ~( ssPv22_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 1.31/1.21 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 1.31/1.21 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 1.31/1.21 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.21 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 1.31/1.21 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.21 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 1.31/1.21 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.21 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 1.31/1.21 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.21 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 1.31/1.21 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.21 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 1.31/1.21 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.21 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 1.31/1.21 ( ~( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.21 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 1.31/1.21 X9 @ X10 ) ) |
% 1.31/1.21 ( ~( ssPv13_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.21 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 1.31/1.21 X9 @ X10 ) ) |
% 1.31/1.21 ( ~( ssPv11_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.21 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 1.31/1.21 X9 @ X10 @ X11 @ X12 ) ) |
% 1.31/1.21 ( ~( ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.21 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 1.31/1.21 X9 @ X10 @ X11 ) ) ))).
% 1.31/1.21 thf(zf_stmt_41, negated_conjecture,
% 1.31/1.21 (( ssPv26_3r1r1r1 @ U @ V @ W ) | ( ~( ssNder1_0 ) ) |
% 1.31/1.21 ( ~( ssNder1_1r1 @ U ) ) | ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 1.31/1.21 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.31/1.21 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.31/1.21 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.31/1.21 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 1.31/1.21 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 1.31/1.21 ( ~( ssPv22_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 1.31/1.21 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 1.31/1.21 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 1.31/1.21 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.21 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 1.31/1.21 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.21 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 1.31/1.21 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.21 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 1.31/1.21 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.21 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 1.31/1.21 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.21 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 1.31/1.21 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.21 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 1.31/1.21 ( ~( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.21 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 1.31/1.21 X10 ) ) |
% 1.31/1.21 ( ~( ssPv13_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.21 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 1.31/1.21 X10 ) ) |
% 1.31/1.21 ( ~( ssPv11_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.21 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 1.31/1.21 X10 @ X11 @ X12 ) ) |
% 1.31/1.21 ( ~( ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.21 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 1.31/1.21 X10 @ X11 ) )),
% 1.31/1.21 inference('cnf.neg', [status(esa)], [clause44])).
% 1.31/1.21 thf(zip_derived_cl58, plain,
% 1.31/1.21 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.21 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.31/1.21 X14 : $i, X15 : $i, X16 : $i, X17 : $i]:
% 1.31/1.21 ( (ssPv26_3r1r1r1 @ X0 @ X1 @ X2)
% 1.31/1.21 | ~ (ssNder1_0)
% 1.31/1.21 | ~ (ssNder1_1r1 @ X0)
% 1.31/1.21 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 1.31/1.21 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 1.31/1.21 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 1.31/1.21 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 1.31/1.21 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 1.31/1.21 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 1.31/1.21 | ~ (ssPv22_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 1.31/1.21 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.31/1.21 X7)
% 1.31/1.21 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.31/1.21 X6 @ X7 @ X8)
% 1.31/1.21 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.31/1.21 X6 @ X7 @ X8 @ X9)
% 1.31/1.21 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.31/1.21 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 1.31/1.21 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.31/1.21 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 1.31/1.21 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.31/1.21 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 1.31/1.21 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 1.31/1.21 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 1.31/1.21 | ~ (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 1.31/1.21 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 1.31/1.21 | ~ (ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 1.31/1.21 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 1.31/1.21 X14 @ X15)
% 1.31/1.21 | ~ (ssPv13_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 1.31/1.21 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15)
% 1.31/1.21 | ~ (ssPv11_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 1.31/1.21 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 1.31/1.21 X14 @ X15 @ X16 @ X17)
% 1.31/1.21 | ~ (ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 1.31/1.21 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 1.31/1.21 X14 @ X15 @ X16))),
% 1.31/1.21 inference('cnf', [status(esa)], [zf_stmt_41])).
% 1.31/1.21 thf(zip_derived_cl101, plain, ( (ssNder1_0)),
% 1.31/1.21 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.31/1.21 thf(zip_derived_cl107, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 1.31/1.21 inference('demod', [status(thm)], [zip_derived_cl100, zip_derived_cl101])).
% 1.31/1.21 thf(zip_derived_cl108, plain,
% 1.31/1.21 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 1.31/1.21 inference('demod', [status(thm)],
% 1.31/1.21 [zip_derived_cl99, zip_derived_cl101, zip_derived_cl107])).
% 1.31/1.21 thf(zip_derived_cl109, plain,
% 1.31/1.21 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 1.31/1.21 inference('demod', [status(thm)],
% 1.31/1.21 [zip_derived_cl98, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.21 zip_derived_cl108])).
% 1.31/1.21 thf(zip_derived_cl110, plain,
% 1.31/1.21 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.31/1.21 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 1.31/1.21 inference('demod', [status(thm)],
% 1.31/1.21 [zip_derived_cl97, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.21 zip_derived_cl108, zip_derived_cl109])).
% 1.31/1.21 thf(zip_derived_cl112, plain,
% 1.31/1.21 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.31/1.21 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 1.31/1.21 inference('demod', [status(thm)],
% 1.31/1.21 [zip_derived_cl94, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.21 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110])).
% 1.31/1.21 thf(zip_derived_cl114, plain,
% 1.31/1.21 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.31/1.21 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 1.31/1.21 inference('demod', [status(thm)],
% 1.31/1.21 [zip_derived_cl91, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.21 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.21 zip_derived_cl112])).
% 1.31/1.21 thf(zip_derived_cl121, plain,
% 1.31/1.21 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 1.31/1.21 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 1.31/1.21 inference('demod', [status(thm)],
% 1.31/1.21 [zip_derived_cl88, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.21 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.21 zip_derived_cl112, zip_derived_cl114])).
% 1.31/1.21 thf(zip_derived_cl122, plain,
% 1.31/1.21 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 1.31/1.21 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 1.31/1.21 inference('demod', [status(thm)],
% 1.31/1.21 [zip_derived_cl85, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.21 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.21 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121])).
% 1.31/1.21 thf(zip_derived_cl123, plain,
% 1.31/1.21 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.21 X7 : $i, X8 : $i]:
% 1.31/1.21 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.31/1.21 X7 @ X8)),
% 1.31/1.21 inference('demod', [status(thm)],
% 1.31/1.21 [zip_derived_cl84, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.21 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.21 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.21 zip_derived_cl122])).
% 1.31/1.21 thf(zip_derived_cl129, plain,
% 1.31/1.21 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.21 X7 : $i, X8 : $i, X9 : $i]:
% 1.31/1.21 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.31/1.21 X7 @ X8 @ X9)),
% 1.31/1.21 inference('demod', [status(thm)],
% 1.31/1.21 [zip_derived_cl83, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.21 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.21 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.21 zip_derived_cl122, zip_derived_cl123])).
% 1.31/1.21 thf(zip_derived_cl136, plain,
% 1.31/1.21 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.21 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 1.31/1.21 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.31/1.21 X6 @ X7 @ X8 @ X9 @ X10)),
% 1.31/1.21 inference('demod', [status(thm)],
% 1.31/1.21 [zip_derived_cl81, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.21 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.21 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.21 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129])).
% 1.31/1.21 thf(zip_derived_cl137, plain,
% 1.31/1.21 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.21 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 1.31/1.21 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.31/1.21 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 1.31/1.21 inference('demod', [status(thm)],
% 1.31/1.21 [zip_derived_cl80, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.21 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.21 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.21 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.21 zip_derived_cl136])).
% 1.31/1.21 thf(zip_derived_cl139, plain,
% 1.31/1.21 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.21 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 1.31/1.21 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.31/1.21 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 1.31/1.21 inference('demod', [status(thm)],
% 1.31/1.21 [zip_derived_cl77, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.21 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.21 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.21 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.21 zip_derived_cl136, zip_derived_cl137])).
% 1.31/1.21 thf(zip_derived_cl141, plain,
% 1.31/1.21 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.21 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 1.31/1.21 (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.31/1.21 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)),
% 1.31/1.21 inference('demod', [status(thm)],
% 1.31/1.21 [zip_derived_cl74, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.21 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.21 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.21 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.21 zip_derived_cl136, zip_derived_cl137, zip_derived_cl139])).
% 1.31/1.21 thf(zip_derived_cl150, plain,
% 1.31/1.21 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.21 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.31/1.21 X14 : $i]:
% 1.31/1.21 (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.31/1.21 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)),
% 1.31/1.21 inference('demod', [status(thm)],
% 1.31/1.21 [zip_derived_cl70, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.21 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.21 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.21 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.21 zip_derived_cl136, zip_derived_cl137, zip_derived_cl139,
% 1.31/1.21 zip_derived_cl141])).
% 1.31/1.21 thf(zip_derived_cl160, plain,
% 1.31/1.21 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.21 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.31/1.21 X14 : $i, X15 : $i]:
% 1.31/1.21 (ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 1.31/1.21 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15)),
% 1.31/1.21 inference('demod', [status(thm)],
% 1.31/1.21 [zip_derived_cl67, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.21 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.21 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.21 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.21 zip_derived_cl136, zip_derived_cl137, zip_derived_cl139,
% 1.31/1.21 zip_derived_cl141, zip_derived_cl150])).
% 1.31/1.21 thf(zip_derived_cl167, plain,
% 1.31/1.21 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.21 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.31/1.21 X14 : $i, X15 : $i, X16 : $i]:
% 1.31/1.21 (ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 1.31/1.21 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @
% 1.31/1.21 X16)),
% 1.31/1.21 inference('demod', [status(thm)],
% 1.31/1.21 [zip_derived_cl64, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.21 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.21 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.21 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.21 zip_derived_cl136, zip_derived_cl137, zip_derived_cl139,
% 1.31/1.21 zip_derived_cl141, zip_derived_cl150, zip_derived_cl160])).
% 1.31/1.21 thf(zip_derived_cl170, plain,
% 1.31/1.21 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.21 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.31/1.21 X14 : $i, X15 : $i, X16 : $i, X17 : $i]:
% 1.31/1.21 ( (ssPv26_3r1r1r1 @ X0 @ X1 @ X2)
% 1.31/1.21 | ~ (ssPv22_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 1.31/1.21 | ~ (ssPv13_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 1.31/1.21 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15)
% 1.31/1.21 | ~ (ssPv11_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 1.31/1.21 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 1.31/1.21 X14 @ X15 @ X16 @ X17))),
% 1.31/1.21 inference('demod', [status(thm)],
% 1.31/1.21 [zip_derived_cl58, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.21 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.21 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.21 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.21 zip_derived_cl136, zip_derived_cl137, zip_derived_cl139,
% 1.31/1.21 zip_derived_cl141, zip_derived_cl150, zip_derived_cl160,
% 1.31/1.21 zip_derived_cl167])).
% 1.31/1.21 thf(zip_derived_cl285, plain,
% 1.31/1.21 (![X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i, X8 : $i,
% 1.31/1.21 X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i, X14 : $i, X15 : $i,
% 1.31/1.21 X16 : $i, X17 : $i]:
% 1.31/1.21 ( (ssPv25_4r1r1r1r1 @ X17 @ X16 @ X15 @ X14)
% 1.31/1.21 | ~ (ssPv13_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X17 @ X16 @ X15 @
% 1.31/1.21 X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @
% 1.31/1.21 X3 @ X2)
% 1.31/1.21 | ~ (ssPv22_7r1r1r1r1r1r1r1 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11)
% 1.31/1.21 | (ssPv26_3r1r1r1 @ X17 @ X16 @ X15))),
% 1.31/1.21 inference('sup-', [status(thm)], [zip_derived_cl283, zip_derived_cl170])).
% 1.31/1.21 thf(zip_derived_cl289, plain,
% 1.31/1.21 (![X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i, X14 : $i]:
% 1.31/1.21 ( (ssPv26_3r1r1r1 @ X14 @ X13 @ X12)
% 1.31/1.21 | ~ (ssPv22_7r1r1r1r1r1r1r1 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8)
% 1.31/1.21 | (ssPv25_4r1r1r1r1 @ X14 @ X13 @ X12 @ X11))),
% 1.31/1.21 inference('sup-', [status(thm)], [zip_derived_cl149, zip_derived_cl285])).
% 1.31/1.21 thf(zip_derived_cl290, plain,
% 1.31/1.21 (![X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.31/1.21 ( (ssPv25_4r1r1r1r1 @ X5 @ X4 @ X3 @ X2)
% 1.31/1.21 | (ssPv26_3r1r1r1 @ X5 @ X4 @ X3))),
% 1.31/1.21 inference('sup-', [status(thm)], [zip_derived_cl118, zip_derived_cl289])).
% 1.31/1.21 thf(zip_derived_cl303, plain,
% 1.31/1.21 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.21 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 1.31/1.21 ( (ssPv21_8r1r1r1r1r1r1r1r1 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3)
% 1.31/1.21 | (ssPv15_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X10 @ X9 @ X8 @ X7 @
% 1.31/1.21 X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X13 @ X12 @ X11)
% 1.31/1.21 | (ssPv25_4r1r1r1r1 @ X10 @ X9 @ X8 @ X7))),
% 1.31/1.21 inference('clc', [status(thm)], [zip_derived_cl302, zip_derived_cl290])).
% 1.31/1.21 thf(zip_derived_cl146, plain,
% 1.31/1.21 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.21 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 1.31/1.21 ~ (ssPv15_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.31/1.21 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ skc37)),
% 1.31/1.21 inference('demod', [status(thm)],
% 1.31/1.21 [zip_derived_cl131, zip_derived_cl136, zip_derived_cl137])).
% 1.31/1.21 thf(zip_derived_cl305, plain,
% 1.31/1.21 (![X5 : $i, X6 : $i, X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i,
% 1.31/1.21 X12 : $i]:
% 1.31/1.21 ( (ssPv25_4r1r1r1r1 @ X12 @ X11 @ X10 @ X9)
% 1.31/1.21 | (ssPv21_8r1r1r1r1r1r1r1r1 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @
% 1.31/1.21 X5))),
% 1.31/1.21 inference('sup-', [status(thm)], [zip_derived_cl303, zip_derived_cl146])).
% 1.31/1.21 thf(clause16, conjecture,
% 1.31/1.21 (~( ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.31/1.21 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 1.31/1.21 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.31/1.21 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.31/1.21 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.31/1.21 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 1.31/1.21 ( ~( ssPv21_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ skc41 ) ) ))).
% 1.31/1.21 thf(zf_stmt_42, negated_conjecture,
% 1.31/1.21 (( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.31/1.21 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.31/1.21 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.31/1.21 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.31/1.21 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 1.31/1.21 ( ~( ssPv21_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ skc41 ) )),
% 1.31/1.21 inference('cnf.neg', [status(esa)], [clause16])).
% 1.31/1.21 thf(zip_derived_cl86, plain,
% 1.31/1.21 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 1.31/1.21 (~ (ssNder1_0)
% 1.31/1.21 | ~ (ssNder1_1r1 @ X0)
% 1.31/1.21 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 1.31/1.21 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 1.31/1.21 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 1.31/1.21 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 1.31/1.21 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 1.31/1.21 | ~ (ssPv21_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.31/1.21 skc41))),
% 1.31/1.21 inference('cnf', [status(esa)], [zf_stmt_42])).
% 1.31/1.21 thf(zip_derived_cl101, plain, ( (ssNder1_0)),
% 1.31/1.21 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.31/1.21 thf(zip_derived_cl103, plain,
% 1.31/1.21 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 1.31/1.21 (~ (ssNder1_1r1 @ X0)
% 1.31/1.21 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 1.31/1.21 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 1.31/1.21 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 1.31/1.21 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 1.31/1.21 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 1.31/1.21 | ~ (ssPv21_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.31/1.21 skc41))),
% 1.31/1.21 inference('demod', [status(thm)], [zip_derived_cl86, zip_derived_cl101])).
% 1.31/1.21 thf(zip_derived_cl107, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 1.31/1.21 inference('demod', [status(thm)], [zip_derived_cl100, zip_derived_cl101])).
% 1.31/1.21 thf(zip_derived_cl108, plain,
% 1.31/1.21 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 1.31/1.21 inference('demod', [status(thm)],
% 1.31/1.21 [zip_derived_cl99, zip_derived_cl101, zip_derived_cl107])).
% 1.31/1.21 thf(zip_derived_cl109, plain,
% 1.31/1.21 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 1.31/1.21 inference('demod', [status(thm)],
% 1.31/1.21 [zip_derived_cl98, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.21 zip_derived_cl108])).
% 1.31/1.21 thf(zip_derived_cl110, plain,
% 1.31/1.21 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.31/1.21 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 1.31/1.21 inference('demod', [status(thm)],
% 1.31/1.21 [zip_derived_cl97, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.21 zip_derived_cl108, zip_derived_cl109])).
% 1.31/1.21 thf(zip_derived_cl112, plain,
% 1.31/1.21 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.31/1.21 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 1.31/1.21 inference('demod', [status(thm)],
% 1.31/1.21 [zip_derived_cl94, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.21 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110])).
% 1.31/1.21 thf(zip_derived_cl114, plain,
% 1.31/1.21 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.31/1.21 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 1.31/1.21 inference('demod', [status(thm)],
% 1.31/1.21 [zip_derived_cl91, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.21 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.21 zip_derived_cl112])).
% 1.31/1.21 thf(zip_derived_cl119, plain,
% 1.31/1.21 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 1.31/1.21 ~ (ssPv21_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ skc41)),
% 1.31/1.21 inference('demod', [status(thm)],
% 1.31/1.21 [zip_derived_cl103, zip_derived_cl107, zip_derived_cl108,
% 1.31/1.21 zip_derived_cl109, zip_derived_cl110, zip_derived_cl112,
% 1.31/1.21 zip_derived_cl114])).
% 1.31/1.21 thf(zip_derived_cl307, plain,
% 1.31/1.21 (![X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 1.31/1.21 (ssPv25_4r1r1r1r1 @ X6 @ X5 @ X4 @ X3)),
% 1.31/1.21 inference('sup-', [status(thm)], [zip_derived_cl305, zip_derived_cl119])).
% 1.31/1.21 thf(zip_derived_cl308, plain,
% 1.31/1.21 (![X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i, X8 : $i, X9 : $i,
% 1.31/1.21 X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 1.31/1.21 (~ (ssPv18_11r1r1r1r1r1r1r1r1r1r1r1 @ X13 @ X12 @ X11 @ X10 @ X9 @
% 1.31/1.21 X8 @ X7 @ X6 @ X5 @ X4 @ X3)
% 1.31/1.21 | (ssPv24_5r1r1r1r1r1 @ X13 @ X12 @ X11 @ X10 @ X9))),
% 1.31/1.21 inference('demod', [status(thm)], [zip_derived_cl159, zip_derived_cl307])).
% 1.31/1.21 thf(zip_derived_cl328, plain,
% 1.31/1.21 (![X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i, X8 : $i,
% 1.31/1.21 X9 : $i, X10 : $i]:
% 1.31/1.21 ( (ssPv20_9r1r1r1r1r1r1r1r1r1 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @
% 1.31/1.21 X3 @ X2)
% 1.31/1.21 | (ssPv21_8r1r1r1r1r1r1r1r1 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3)
% 1.31/1.21 | (ssPv24_5r1r1r1r1r1 @ X10 @ X9 @ X8 @ X7 @ X6))),
% 1.31/1.21 inference('sup-', [status(thm)], [zip_derived_cl322, zip_derived_cl308])).
% 1.31/1.21 thf(clause46, conjecture,
% 1.31/1.21 (~( ( ssPv8_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.21 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 1.31/1.21 X10 @ X11 @ X12 @ X13 @ X14 @ skc30 ) |
% 1.31/1.21 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.31/1.21 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 1.31/1.21 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.31/1.21 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.31/1.21 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.31/1.21 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 1.31/1.21 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 1.31/1.21 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 1.31/1.21 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 1.31/1.21 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.21 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 1.31/1.21 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.21 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 1.31/1.21 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.21 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 1.31/1.21 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.21 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 1.31/1.21 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.21 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 1.31/1.21 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.21 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 1.31/1.21 ( ~( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.21 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 1.31/1.21 X9 @ X10 ) ) |
% 1.31/1.21 ( ~( ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.21 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 1.31/1.21 X9 @ X10 @ X11 ) ) |
% 1.31/1.21 ( ~( ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.21 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 1.31/1.21 X9 @ X10 @ X11 @ X12 ) ) |
% 1.31/1.21 ( ~( ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.21 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 1.31/1.21 X9 @ X10 @ X11 @ X12 @ X13 ) ) ))).
% 1.31/1.21 thf(zf_stmt_43, negated_conjecture,
% 1.31/1.21 (( ssPv8_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.21 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 1.31/1.21 X10 @ X11 @ X12 @ X13 @ X14 @ skc30 ) |
% 1.31/1.21 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.31/1.21 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.31/1.21 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.31/1.21 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.31/1.21 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 1.31/1.21 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 1.31/1.21 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 1.31/1.21 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 1.31/1.21 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.21 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 1.31/1.21 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.21 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 1.31/1.21 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.21 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 1.31/1.21 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.21 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 1.31/1.21 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.21 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 1.31/1.21 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.21 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 1.31/1.21 ( ~( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.21 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 1.31/1.21 X10 ) ) |
% 1.31/1.21 ( ~( ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.21 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 1.31/1.21 X10 @ X11 ) ) |
% 1.31/1.21 ( ~( ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.21 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 1.31/1.21 X10 @ X11 @ X12 ) ) |
% 1.31/1.21 ( ~( ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.21 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 1.31/1.21 X10 @ X11 @ X12 @ X13 ) )),
% 1.31/1.21 inference('cnf.neg', [status(esa)], [clause46])).
% 1.31/1.21 thf(zip_derived_cl56, plain,
% 1.31/1.21 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.21 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.31/1.21 X14 : $i, X15 : $i, X16 : $i, X17 : $i, X18 : $i, X19 : $i]:
% 1.31/1.21 ( (ssPv8_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @
% 1.31/1.21 X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 1.31/1.21 X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ skc30)
% 1.31/1.21 | ~ (ssNder1_0)
% 1.31/1.21 | ~ (ssNder1_1r1 @ X0)
% 1.31/1.21 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 1.31/1.21 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 1.31/1.21 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 1.31/1.21 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 1.31/1.21 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 1.31/1.21 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 1.31/1.21 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.31/1.21 X7)
% 1.31/1.21 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.31/1.21 X6 @ X7 @ X8)
% 1.31/1.21 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.31/1.21 X6 @ X7 @ X8 @ X9)
% 1.31/1.21 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.31/1.21 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 1.31/1.21 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.31/1.21 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 1.31/1.21 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.31/1.21 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 1.31/1.21 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 1.31/1.21 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 1.31/1.21 | ~ (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 1.31/1.21 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 1.31/1.21 | ~ (ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 1.31/1.21 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 1.31/1.21 X14 @ X15)
% 1.31/1.21 | ~ (ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 1.31/1.21 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 1.31/1.21 X14 @ X15 @ X16)
% 1.31/1.21 | ~ (ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 1.31/1.21 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 1.31/1.21 X14 @ X15 @ X16 @ X17)
% 1.31/1.21 | ~ (ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @
% 1.31/1.21 X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 1.31/1.21 X14 @ X15 @ X16 @ X17 @ X18))),
% 1.31/1.21 inference('cnf', [status(esa)], [zf_stmt_43])).
% 1.31/1.21 thf(zip_derived_cl101, plain, ( (ssNder1_0)),
% 1.31/1.21 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.31/1.21 thf(zip_derived_cl107, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 1.31/1.21 inference('demod', [status(thm)], [zip_derived_cl100, zip_derived_cl101])).
% 1.31/1.21 thf(zip_derived_cl108, plain,
% 1.31/1.21 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 1.31/1.21 inference('demod', [status(thm)],
% 1.31/1.21 [zip_derived_cl99, zip_derived_cl101, zip_derived_cl107])).
% 1.31/1.21 thf(zip_derived_cl109, plain,
% 1.31/1.21 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 1.31/1.21 inference('demod', [status(thm)],
% 1.31/1.21 [zip_derived_cl98, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.21 zip_derived_cl108])).
% 1.31/1.21 thf(zip_derived_cl110, plain,
% 1.31/1.21 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.31/1.21 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 1.31/1.21 inference('demod', [status(thm)],
% 1.31/1.21 [zip_derived_cl97, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.21 zip_derived_cl108, zip_derived_cl109])).
% 1.31/1.21 thf(zip_derived_cl112, plain,
% 1.31/1.21 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.31/1.21 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 1.31/1.21 inference('demod', [status(thm)],
% 1.31/1.21 [zip_derived_cl94, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.21 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110])).
% 1.31/1.21 thf(zip_derived_cl114, plain,
% 1.31/1.21 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.31/1.21 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 1.31/1.21 inference('demod', [status(thm)],
% 1.31/1.21 [zip_derived_cl91, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.21 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.21 zip_derived_cl112])).
% 1.31/1.21 thf(zip_derived_cl121, plain,
% 1.31/1.21 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 1.31/1.21 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 1.31/1.21 inference('demod', [status(thm)],
% 1.31/1.21 [zip_derived_cl88, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.21 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.21 zip_derived_cl112, zip_derived_cl114])).
% 1.31/1.21 thf(zip_derived_cl122, plain,
% 1.31/1.21 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 1.31/1.21 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 1.31/1.21 inference('demod', [status(thm)],
% 1.31/1.21 [zip_derived_cl85, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.21 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.21 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121])).
% 1.31/1.21 thf(zip_derived_cl123, plain,
% 1.31/1.21 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.21 X7 : $i, X8 : $i]:
% 1.31/1.21 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.31/1.21 X7 @ X8)),
% 1.31/1.21 inference('demod', [status(thm)],
% 1.31/1.21 [zip_derived_cl84, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.21 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.21 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.21 zip_derived_cl122])).
% 1.31/1.21 thf(zip_derived_cl129, plain,
% 1.31/1.21 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.21 X7 : $i, X8 : $i, X9 : $i]:
% 1.31/1.21 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.31/1.21 X7 @ X8 @ X9)),
% 1.31/1.21 inference('demod', [status(thm)],
% 1.31/1.21 [zip_derived_cl83, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.21 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.21 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.21 zip_derived_cl122, zip_derived_cl123])).
% 1.31/1.21 thf(zip_derived_cl136, plain,
% 1.31/1.21 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.21 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 1.31/1.21 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.31/1.21 X6 @ X7 @ X8 @ X9 @ X10)),
% 1.31/1.21 inference('demod', [status(thm)],
% 1.31/1.21 [zip_derived_cl81, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.21 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.21 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.21 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129])).
% 1.31/1.21 thf(zip_derived_cl137, plain,
% 1.31/1.21 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.21 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 1.31/1.21 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.31/1.21 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 1.31/1.21 inference('demod', [status(thm)],
% 1.31/1.21 [zip_derived_cl80, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.21 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.21 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.21 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.21 zip_derived_cl136])).
% 1.31/1.21 thf(zip_derived_cl139, plain,
% 1.31/1.21 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.21 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 1.31/1.21 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.31/1.21 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 1.31/1.21 inference('demod', [status(thm)],
% 1.31/1.21 [zip_derived_cl77, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.21 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.21 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.21 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.21 zip_derived_cl136, zip_derived_cl137])).
% 1.31/1.21 thf(zip_derived_cl141, plain,
% 1.31/1.21 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.21 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 1.31/1.21 (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.31/1.21 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)),
% 1.31/1.21 inference('demod', [status(thm)],
% 1.31/1.21 [zip_derived_cl74, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.21 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.21 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.21 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.21 zip_derived_cl136, zip_derived_cl137, zip_derived_cl139])).
% 1.31/1.21 thf(zip_derived_cl150, plain,
% 1.31/1.21 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.21 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.31/1.21 X14 : $i]:
% 1.31/1.21 (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.31/1.21 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)),
% 1.31/1.21 inference('demod', [status(thm)],
% 1.31/1.21 [zip_derived_cl70, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.21 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.21 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.21 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.21 zip_derived_cl136, zip_derived_cl137, zip_derived_cl139,
% 1.31/1.21 zip_derived_cl141])).
% 1.31/1.21 thf(zip_derived_cl160, plain,
% 1.31/1.21 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.21 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.31/1.21 X14 : $i, X15 : $i]:
% 1.31/1.21 (ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 1.31/1.21 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15)),
% 1.31/1.21 inference('demod', [status(thm)],
% 1.31/1.21 [zip_derived_cl67, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.21 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.21 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.21 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.21 zip_derived_cl136, zip_derived_cl137, zip_derived_cl139,
% 1.31/1.21 zip_derived_cl141, zip_derived_cl150])).
% 1.31/1.21 thf(zip_derived_cl167, plain,
% 1.31/1.21 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.21 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.31/1.21 X14 : $i, X15 : $i, X16 : $i]:
% 1.31/1.21 (ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 1.31/1.21 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @
% 1.31/1.21 X16)),
% 1.31/1.21 inference('demod', [status(thm)],
% 1.31/1.21 [zip_derived_cl64, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.21 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.21 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.21 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.21 zip_derived_cl136, zip_derived_cl137, zip_derived_cl139,
% 1.31/1.21 zip_derived_cl141, zip_derived_cl150, zip_derived_cl160])).
% 1.31/1.21 thf(zip_derived_cl168, plain,
% 1.31/1.21 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.21 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.31/1.21 X14 : $i, X15 : $i, X16 : $i, X17 : $i]:
% 1.31/1.21 (ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 1.31/1.21 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @
% 1.31/1.21 X15 @ X16 @ X17)),
% 1.31/1.21 inference('demod', [status(thm)],
% 1.31/1.21 [zip_derived_cl63, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.21 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.21 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.21 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.21 zip_derived_cl136, zip_derived_cl137, zip_derived_cl139,
% 1.31/1.21 zip_derived_cl141, zip_derived_cl150, zip_derived_cl160,
% 1.31/1.21 zip_derived_cl167])).
% 1.31/1.21 thf(zip_derived_cl171, plain,
% 1.31/1.21 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.21 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.31/1.21 X14 : $i, X15 : $i, X16 : $i, X17 : $i, X18 : $i]:
% 1.31/1.21 (ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 1.31/1.21 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @
% 1.31/1.21 X15 @ X16 @ X17 @ X18)),
% 1.31/1.21 inference('demod', [status(thm)],
% 1.31/1.21 [zip_derived_cl61, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.21 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.21 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.21 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.21 zip_derived_cl136, zip_derived_cl137, zip_derived_cl139,
% 1.31/1.21 zip_derived_cl141, zip_derived_cl150, zip_derived_cl160,
% 1.31/1.21 zip_derived_cl167, zip_derived_cl168])).
% 1.31/1.21 thf(zip_derived_cl173, plain,
% 1.31/1.21 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.21 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.31/1.21 X14 : $i, X15 : $i, X16 : $i, X17 : $i, X18 : $i, X19 : $i]:
% 1.31/1.21 (ssPv8_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 1.31/1.21 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @
% 1.31/1.21 X15 @ X16 @ X17 @ X18 @ X19 @ skc30)),
% 1.31/1.21 inference('demod', [status(thm)],
% 1.31/1.21 [zip_derived_cl56, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.21 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.21 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.21 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.21 zip_derived_cl136, zip_derived_cl137, zip_derived_cl139,
% 1.31/1.21 zip_derived_cl141, zip_derived_cl150, zip_derived_cl160,
% 1.31/1.21 zip_derived_cl167, zip_derived_cl168, zip_derived_cl171])).
% 1.31/1.21 thf(clause60, conjecture,
% 1.31/1.21 (~( ( ssPv11_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.21 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 1.31/1.21 X10 @ X11 @ X12 ) |
% 1.31/1.21 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.31/1.21 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 1.31/1.21 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.31/1.21 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.31/1.21 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.31/1.21 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 1.31/1.21 ( ~( ssPv23_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 1.31/1.21 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 1.31/1.21 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 1.31/1.21 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 1.31/1.21 ( ~( ssPv20_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 1.31/1.21 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.21 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 1.31/1.21 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.21 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 1.31/1.21 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.21 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 1.31/1.21 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.21 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 1.31/1.21 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.21 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 1.31/1.21 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.21 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 1.31/1.21 ( ~( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.21 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 1.31/1.21 X9 @ X10 ) ) |
% 1.31/1.21 ( ~( ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.21 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 1.31/1.21 X9 @ X10 @ X11 ) ) |
% 1.31/1.21 ( ~( ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.21 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 1.31/1.21 X9 @ X10 @ X11 @ X12 ) ) |
% 1.31/1.21 ( ~( ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.21 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 1.31/1.21 X9 @ X10 @ X11 @ X12 @ X13 ) ) |
% 1.31/1.21 ( ~( ssPv8_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.21 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 1.31/1.21 X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 ) ) |
% 1.31/1.21 ( ~( ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.21 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 1.31/1.21 X9 @ X10 @ X11 @ X12 @ X13 @ X14 ) ) ))).
% 1.31/1.21 thf(zf_stmt_44, negated_conjecture,
% 1.31/1.21 (( ssPv11_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.21 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 1.31/1.21 X10 @ X11 @ X12 ) |
% 1.31/1.21 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.31/1.21 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.31/1.21 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.31/1.21 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.31/1.21 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 1.31/1.21 ( ~( ssPv23_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 1.31/1.21 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 1.31/1.21 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 1.31/1.21 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 1.31/1.21 ( ~( ssPv20_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 1.31/1.21 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.21 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 1.31/1.21 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.21 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 1.31/1.21 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.21 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 1.31/1.21 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.21 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 1.31/1.21 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.21 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 1.31/1.21 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.21 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 1.31/1.21 ( ~( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.21 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 1.31/1.21 X10 ) ) |
% 1.31/1.21 ( ~( ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.21 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 1.31/1.21 X10 @ X11 ) ) |
% 1.31/1.21 ( ~( ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.21 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 1.31/1.21 X10 @ X11 @ X12 ) ) |
% 1.31/1.21 ( ~( ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.21 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 1.31/1.21 X10 @ X11 @ X12 @ X13 ) ) |
% 1.31/1.21 ( ~( ssPv8_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.21 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 1.31/1.21 X10 @ X11 @ X12 @ X13 @ X14 @ X15 ) ) |
% 1.31/1.21 ( ~( ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.21 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 1.31/1.21 X10 @ X11 @ X12 @ X13 @ X14 ) )),
% 1.31/1.21 inference('cnf.neg', [status(esa)], [clause60])).
% 1.31/1.21 thf(zip_derived_cl42, plain,
% 1.31/1.21 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.21 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.31/1.21 X14 : $i, X15 : $i, X16 : $i, X17 : $i, X18 : $i, X19 : $i, X20 : $i]:
% 1.31/1.21 ( (ssPv11_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 1.31/1.21 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @
% 1.31/1.21 X15 @ X16 @ X17)
% 1.31/1.21 | ~ (ssNder1_0)
% 1.31/1.21 | ~ (ssNder1_1r1 @ X0)
% 1.31/1.21 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 1.31/1.21 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 1.31/1.21 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 1.31/1.21 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 1.31/1.21 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 1.31/1.21 | ~ (ssPv23_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 1.31/1.21 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 1.31/1.21 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.31/1.21 X7)
% 1.31/1.21 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.31/1.21 X6 @ X7 @ X8)
% 1.31/1.21 | ~ (ssPv20_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.31/1.21 X7 @ X8)
% 1.31/1.21 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.31/1.21 X6 @ X7 @ X8 @ X9)
% 1.31/1.21 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.31/1.21 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 1.31/1.21 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.31/1.21 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 1.31/1.21 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.31/1.21 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 1.31/1.21 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 1.31/1.21 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 1.31/1.21 | ~ (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 1.31/1.21 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 1.31/1.21 | ~ (ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 1.31/1.21 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 1.31/1.21 X14 @ X15)
% 1.31/1.21 | ~ (ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 1.31/1.21 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 1.31/1.21 X14 @ X15 @ X16)
% 1.31/1.21 | ~ (ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 1.31/1.21 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 1.31/1.21 X14 @ X15 @ X16 @ X17)
% 1.31/1.21 | ~ (ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @
% 1.31/1.21 X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 1.31/1.21 X14 @ X15 @ X16 @ X17 @ X18)
% 1.31/1.21 | ~ (ssPv8_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @
% 1.31/1.21 X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 1.31/1.21 X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20)
% 1.31/1.21 | ~ (ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @
% 1.31/1.21 X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 1.31/1.21 X14 @ X15 @ X16 @ X17 @ X18 @ X19))),
% 1.31/1.21 inference('cnf', [status(esa)], [zf_stmt_44])).
% 1.31/1.21 thf(zip_derived_cl101, plain, ( (ssNder1_0)),
% 1.31/1.21 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.31/1.21 thf(zip_derived_cl107, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 1.31/1.21 inference('demod', [status(thm)], [zip_derived_cl100, zip_derived_cl101])).
% 1.31/1.21 thf(zip_derived_cl108, plain,
% 1.31/1.21 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 1.31/1.21 inference('demod', [status(thm)],
% 1.31/1.21 [zip_derived_cl99, zip_derived_cl101, zip_derived_cl107])).
% 1.31/1.21 thf(zip_derived_cl109, plain,
% 1.31/1.21 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 1.31/1.21 inference('demod', [status(thm)],
% 1.31/1.21 [zip_derived_cl98, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.21 zip_derived_cl108])).
% 1.31/1.21 thf(zip_derived_cl110, plain,
% 1.31/1.21 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.31/1.21 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 1.31/1.21 inference('demod', [status(thm)],
% 1.31/1.21 [zip_derived_cl97, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.21 zip_derived_cl108, zip_derived_cl109])).
% 1.31/1.21 thf(zip_derived_cl112, plain,
% 1.31/1.21 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.31/1.21 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 1.31/1.21 inference('demod', [status(thm)],
% 1.31/1.21 [zip_derived_cl94, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.21 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110])).
% 1.31/1.21 thf(zip_derived_cl114, plain,
% 1.31/1.21 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.31/1.21 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 1.31/1.21 inference('demod', [status(thm)],
% 1.31/1.21 [zip_derived_cl91, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.21 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.21 zip_derived_cl112])).
% 1.31/1.21 thf(zip_derived_cl121, plain,
% 1.31/1.21 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 1.31/1.21 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 1.31/1.21 inference('demod', [status(thm)],
% 1.31/1.21 [zip_derived_cl88, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.21 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.21 zip_derived_cl112, zip_derived_cl114])).
% 1.31/1.21 thf(zip_derived_cl122, plain,
% 1.31/1.21 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 1.31/1.21 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 1.31/1.21 inference('demod', [status(thm)],
% 1.31/1.21 [zip_derived_cl85, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.21 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.21 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121])).
% 1.31/1.21 thf(zip_derived_cl123, plain,
% 1.31/1.21 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.21 X7 : $i, X8 : $i]:
% 1.31/1.21 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.31/1.21 X7 @ X8)),
% 1.31/1.21 inference('demod', [status(thm)],
% 1.31/1.21 [zip_derived_cl84, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.21 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.21 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.21 zip_derived_cl122])).
% 1.31/1.21 thf(zip_derived_cl129, plain,
% 1.31/1.21 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.21 X7 : $i, X8 : $i, X9 : $i]:
% 1.31/1.21 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.31/1.21 X7 @ X8 @ X9)),
% 1.31/1.21 inference('demod', [status(thm)],
% 1.31/1.21 [zip_derived_cl83, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.21 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.21 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.21 zip_derived_cl122, zip_derived_cl123])).
% 1.31/1.21 thf(zip_derived_cl136, plain,
% 1.31/1.21 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.21 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 1.31/1.21 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.31/1.21 X6 @ X7 @ X8 @ X9 @ X10)),
% 1.31/1.21 inference('demod', [status(thm)],
% 1.31/1.21 [zip_derived_cl81, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.21 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.21 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.21 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129])).
% 1.31/1.21 thf(zip_derived_cl137, plain,
% 1.31/1.21 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.21 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 1.31/1.21 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.31/1.21 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 1.31/1.21 inference('demod', [status(thm)],
% 1.31/1.21 [zip_derived_cl80, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.21 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.21 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.21 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.21 zip_derived_cl136])).
% 1.31/1.21 thf(zip_derived_cl139, plain,
% 1.31/1.21 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.21 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 1.31/1.21 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.31/1.21 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 1.31/1.21 inference('demod', [status(thm)],
% 1.31/1.21 [zip_derived_cl77, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.21 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.21 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.21 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.21 zip_derived_cl136, zip_derived_cl137])).
% 1.31/1.21 thf(zip_derived_cl141, plain,
% 1.31/1.21 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.21 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 1.31/1.21 (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.31/1.21 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)),
% 1.31/1.21 inference('demod', [status(thm)],
% 1.31/1.21 [zip_derived_cl74, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.21 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.21 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.21 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.21 zip_derived_cl136, zip_derived_cl137, zip_derived_cl139])).
% 1.31/1.21 thf(zip_derived_cl150, plain,
% 1.31/1.21 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.21 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.31/1.21 X14 : $i]:
% 1.31/1.21 (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.31/1.21 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)),
% 1.31/1.21 inference('demod', [status(thm)],
% 1.31/1.21 [zip_derived_cl70, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.21 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.21 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.21 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.21 zip_derived_cl136, zip_derived_cl137, zip_derived_cl139,
% 1.31/1.21 zip_derived_cl141])).
% 1.31/1.21 thf(zip_derived_cl160, plain,
% 1.31/1.21 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.21 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.31/1.21 X14 : $i, X15 : $i]:
% 1.31/1.21 (ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 1.31/1.21 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15)),
% 1.31/1.21 inference('demod', [status(thm)],
% 1.31/1.21 [zip_derived_cl67, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.21 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.21 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.21 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.21 zip_derived_cl136, zip_derived_cl137, zip_derived_cl139,
% 1.31/1.21 zip_derived_cl141, zip_derived_cl150])).
% 1.31/1.21 thf(zip_derived_cl167, plain,
% 1.31/1.21 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.21 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.31/1.21 X14 : $i, X15 : $i, X16 : $i]:
% 1.31/1.21 (ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 1.31/1.21 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @
% 1.31/1.21 X16)),
% 1.31/1.21 inference('demod', [status(thm)],
% 1.31/1.21 [zip_derived_cl64, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.21 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.21 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.21 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.21 zip_derived_cl136, zip_derived_cl137, zip_derived_cl139,
% 1.31/1.21 zip_derived_cl141, zip_derived_cl150, zip_derived_cl160])).
% 1.31/1.21 thf(zip_derived_cl168, plain,
% 1.31/1.21 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.21 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.31/1.21 X14 : $i, X15 : $i, X16 : $i, X17 : $i]:
% 1.31/1.21 (ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 1.31/1.21 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @
% 1.31/1.21 X15 @ X16 @ X17)),
% 1.31/1.21 inference('demod', [status(thm)],
% 1.31/1.21 [zip_derived_cl63, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.21 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.21 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.21 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.21 zip_derived_cl136, zip_derived_cl137, zip_derived_cl139,
% 1.31/1.21 zip_derived_cl141, zip_derived_cl150, zip_derived_cl160,
% 1.31/1.21 zip_derived_cl167])).
% 1.31/1.21 thf(zip_derived_cl171, plain,
% 1.31/1.21 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.21 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.31/1.21 X14 : $i, X15 : $i, X16 : $i, X17 : $i, X18 : $i]:
% 1.31/1.21 (ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 1.31/1.21 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @
% 1.31/1.21 X15 @ X16 @ X17 @ X18)),
% 1.31/1.21 inference('demod', [status(thm)],
% 1.31/1.21 [zip_derived_cl61, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.21 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.21 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.21 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.21 zip_derived_cl136, zip_derived_cl137, zip_derived_cl139,
% 1.31/1.21 zip_derived_cl141, zip_derived_cl150, zip_derived_cl160,
% 1.31/1.21 zip_derived_cl167, zip_derived_cl168])).
% 1.31/1.21 thf(zip_derived_cl172, plain,
% 1.31/1.21 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.21 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.31/1.21 X14 : $i, X15 : $i, X16 : $i, X17 : $i, X18 : $i, X19 : $i]:
% 1.31/1.21 (ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 1.31/1.21 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @
% 1.31/1.21 X15 @ X16 @ X17 @ X18 @ X19)),
% 1.31/1.21 inference('demod', [status(thm)],
% 1.31/1.21 [zip_derived_cl57, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.21 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.21 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.21 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.21 zip_derived_cl136, zip_derived_cl137, zip_derived_cl139,
% 1.31/1.21 zip_derived_cl141, zip_derived_cl150, zip_derived_cl160,
% 1.31/1.21 zip_derived_cl167, zip_derived_cl168, zip_derived_cl171])).
% 1.31/1.21 thf(zip_derived_cl213, plain,
% 1.31/1.21 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.21 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.31/1.21 X14 : $i, X15 : $i, X16 : $i, X17 : $i, X18 : $i, X19 : $i, X20 : $i]:
% 1.31/1.21 ( (ssPv11_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 1.31/1.21 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @
% 1.31/1.21 X15 @ X16 @ X17)
% 1.31/1.21 | ~ (ssPv23_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 1.31/1.21 | ~ (ssPv20_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.31/1.21 X7 @ X8)
% 1.31/1.21 | ~ (ssPv8_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @
% 1.31/1.21 X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 1.31/1.21 X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20))),
% 1.31/1.21 inference('demod', [status(thm)],
% 1.31/1.21 [zip_derived_cl42, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.21 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.21 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.21 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.21 zip_derived_cl136, zip_derived_cl137, zip_derived_cl139,
% 1.31/1.21 zip_derived_cl141, zip_derived_cl150, zip_derived_cl160,
% 1.31/1.21 zip_derived_cl167, zip_derived_cl168, zip_derived_cl171,
% 1.31/1.21 zip_derived_cl172])).
% 1.31/1.21 thf(zip_derived_cl214, plain,
% 1.31/1.21 (![X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i, X8 : $i,
% 1.31/1.21 X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i, X14 : $i, X15 : $i,
% 1.31/1.21 X16 : $i, X17 : $i, X18 : $i, X19 : $i]:
% 1.31/1.21 (~ (ssPv20_9r1r1r1r1r1r1r1r1r1 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @
% 1.31/1.21 X13 @ X12 @ X11)
% 1.31/1.21 | ~ (ssPv23_6r1r1r1r1r1r1 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14)
% 1.31/1.21 | (ssPv11_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X19 @ X18 @
% 1.31/1.21 X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @
% 1.31/1.21 X6 @ X5 @ X4 @ X3 @ X2))),
% 1.31/1.21 inference('sup-', [status(thm)], [zip_derived_cl173, zip_derived_cl213])).
% 1.31/1.21 thf(clause42, conjecture,
% 1.31/1.21 (~( ( ssPv24_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) | ( ~( ssNder1_0 ) ) |
% 1.31/1.21 ( ~( ssNder1_1r1 @ U ) ) | ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 1.31/1.21 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.31/1.21 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.31/1.21 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.31/1.21 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 1.31/1.21 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 1.31/1.21 ( ~( ssPv22_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 1.31/1.21 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 1.31/1.21 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 1.31/1.21 ( ~( ssPv20_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 1.31/1.21 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.21 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 1.31/1.21 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.21 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 1.31/1.21 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.21 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 1.31/1.21 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.21 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 1.31/1.21 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.21 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 1.31/1.21 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.21 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 1.31/1.21 ( ~( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.21 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 1.31/1.21 X9 @ X10 ) ) |
% 1.31/1.21 ( ~( ssPv11_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.21 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 1.31/1.21 X9 @ X10 @ X11 @ X12 ) ) |
% 1.31/1.21 ( ~( ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.21 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 1.31/1.21 X9 @ X10 @ X11 ) ) ))).
% 1.31/1.21 thf(zf_stmt_45, negated_conjecture,
% 1.31/1.21 (( ssPv24_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) | ( ~( ssNder1_0 ) ) |
% 1.31/1.21 ( ~( ssNder1_1r1 @ U ) ) | ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 1.31/1.21 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.31/1.21 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.31/1.21 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.31/1.21 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 1.31/1.21 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 1.31/1.21 ( ~( ssPv22_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 1.31/1.21 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 1.31/1.21 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 1.31/1.21 ( ~( ssPv20_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 1.31/1.21 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.21 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 1.31/1.21 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.21 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 1.31/1.21 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.21 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 1.31/1.21 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.21 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 1.31/1.21 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.21 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 1.31/1.21 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.21 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 1.31/1.21 ( ~( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.21 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 1.31/1.21 X10 ) ) |
% 1.31/1.21 ( ~( ssPv11_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.21 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 1.31/1.21 X10 @ X11 @ X12 ) ) |
% 1.31/1.21 ( ~( ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.31/1.21 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 1.31/1.21 X10 @ X11 ) )),
% 1.31/1.21 inference('cnf.neg', [status(esa)], [clause42])).
% 1.31/1.21 thf(zip_derived_cl60, plain,
% 1.31/1.21 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.21 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.31/1.21 X14 : $i, X15 : $i, X16 : $i, X17 : $i]:
% 1.31/1.21 ( (ssPv24_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 1.31/1.21 | ~ (ssNder1_0)
% 1.31/1.21 | ~ (ssNder1_1r1 @ X0)
% 1.31/1.21 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 1.31/1.21 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 1.31/1.21 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 1.31/1.21 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 1.31/1.21 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 1.31/1.21 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 1.31/1.21 | ~ (ssPv22_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 1.31/1.21 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.31/1.21 X7)
% 1.31/1.21 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.31/1.21 X6 @ X7 @ X8)
% 1.31/1.21 | ~ (ssPv20_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.31/1.21 X7 @ X8)
% 1.31/1.21 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.31/1.21 X6 @ X7 @ X8 @ X9)
% 1.31/1.21 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.31/1.21 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 1.31/1.21 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.31/1.21 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 1.31/1.21 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.31/1.21 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 1.31/1.21 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 1.31/1.21 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 1.31/1.21 | ~ (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 1.31/1.21 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 1.31/1.21 | ~ (ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 1.31/1.21 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 1.31/1.21 X14 @ X15)
% 1.31/1.21 | ~ (ssPv11_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 1.31/1.21 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 1.31/1.21 X14 @ X15 @ X16 @ X17)
% 1.31/1.21 | ~ (ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 1.31/1.21 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 1.31/1.21 X14 @ X15 @ X16))),
% 1.31/1.21 inference('cnf', [status(esa)], [zf_stmt_45])).
% 1.31/1.21 thf(zip_derived_cl101, plain, ( (ssNder1_0)),
% 1.31/1.21 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.31/1.21 thf(zip_derived_cl107, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 1.31/1.21 inference('demod', [status(thm)], [zip_derived_cl100, zip_derived_cl101])).
% 1.31/1.21 thf(zip_derived_cl108, plain,
% 1.31/1.21 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 1.31/1.21 inference('demod', [status(thm)],
% 1.31/1.21 [zip_derived_cl99, zip_derived_cl101, zip_derived_cl107])).
% 1.31/1.21 thf(zip_derived_cl109, plain,
% 1.31/1.21 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 1.31/1.21 inference('demod', [status(thm)],
% 1.31/1.21 [zip_derived_cl98, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.21 zip_derived_cl108])).
% 1.31/1.21 thf(zip_derived_cl110, plain,
% 1.31/1.21 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.31/1.21 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 1.31/1.21 inference('demod', [status(thm)],
% 1.31/1.21 [zip_derived_cl97, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.21 zip_derived_cl108, zip_derived_cl109])).
% 1.31/1.21 thf(zip_derived_cl112, plain,
% 1.31/1.21 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.31/1.21 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 1.31/1.21 inference('demod', [status(thm)],
% 1.31/1.21 [zip_derived_cl94, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.21 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110])).
% 1.31/1.21 thf(zip_derived_cl114, plain,
% 1.31/1.21 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.31/1.21 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 1.31/1.21 inference('demod', [status(thm)],
% 1.31/1.21 [zip_derived_cl91, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.21 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.21 zip_derived_cl112])).
% 1.31/1.21 thf(zip_derived_cl121, plain,
% 1.31/1.21 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 1.31/1.21 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 1.31/1.21 inference('demod', [status(thm)],
% 1.31/1.21 [zip_derived_cl88, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.21 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.21 zip_derived_cl112, zip_derived_cl114])).
% 1.31/1.21 thf(zip_derived_cl122, plain,
% 1.31/1.21 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 1.31/1.21 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 1.31/1.21 inference('demod', [status(thm)],
% 1.31/1.21 [zip_derived_cl85, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.21 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.21 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121])).
% 1.31/1.21 thf(zip_derived_cl123, plain,
% 1.31/1.21 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.21 X7 : $i, X8 : $i]:
% 1.31/1.21 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.31/1.21 X7 @ X8)),
% 1.31/1.21 inference('demod', [status(thm)],
% 1.31/1.21 [zip_derived_cl84, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.21 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.21 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.21 zip_derived_cl122])).
% 1.31/1.21 thf(zip_derived_cl129, plain,
% 1.31/1.21 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.21 X7 : $i, X8 : $i, X9 : $i]:
% 1.31/1.21 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.31/1.21 X7 @ X8 @ X9)),
% 1.31/1.21 inference('demod', [status(thm)],
% 1.31/1.21 [zip_derived_cl83, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.21 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.21 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.21 zip_derived_cl122, zip_derived_cl123])).
% 1.31/1.21 thf(zip_derived_cl136, plain,
% 1.31/1.21 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.21 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 1.31/1.21 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.31/1.21 X6 @ X7 @ X8 @ X9 @ X10)),
% 1.31/1.21 inference('demod', [status(thm)],
% 1.31/1.21 [zip_derived_cl81, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.21 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.21 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.21 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129])).
% 1.31/1.21 thf(zip_derived_cl137, plain,
% 1.31/1.21 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.21 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 1.31/1.21 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.31/1.21 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 1.31/1.21 inference('demod', [status(thm)],
% 1.31/1.21 [zip_derived_cl80, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.21 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.21 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.21 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.21 zip_derived_cl136])).
% 1.31/1.21 thf(zip_derived_cl139, plain,
% 1.31/1.21 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.21 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 1.31/1.21 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.31/1.21 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 1.31/1.21 inference('demod', [status(thm)],
% 1.31/1.21 [zip_derived_cl77, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.21 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.21 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.21 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.21 zip_derived_cl136, zip_derived_cl137])).
% 1.31/1.21 thf(zip_derived_cl141, plain,
% 1.31/1.21 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.21 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 1.31/1.21 (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.31/1.21 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)),
% 1.31/1.21 inference('demod', [status(thm)],
% 1.31/1.21 [zip_derived_cl74, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.21 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.21 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.21 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.21 zip_derived_cl136, zip_derived_cl137, zip_derived_cl139])).
% 1.31/1.21 thf(zip_derived_cl150, plain,
% 1.31/1.21 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.21 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.31/1.21 X14 : $i]:
% 1.31/1.21 (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.31/1.21 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)),
% 1.31/1.21 inference('demod', [status(thm)],
% 1.31/1.21 [zip_derived_cl70, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.21 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.21 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.21 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.21 zip_derived_cl136, zip_derived_cl137, zip_derived_cl139,
% 1.31/1.21 zip_derived_cl141])).
% 1.31/1.21 thf(zip_derived_cl160, plain,
% 1.31/1.21 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.21 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.31/1.21 X14 : $i, X15 : $i]:
% 1.31/1.21 (ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 1.31/1.21 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15)),
% 1.31/1.21 inference('demod', [status(thm)],
% 1.31/1.21 [zip_derived_cl67, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.21 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.21 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.21 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.21 zip_derived_cl136, zip_derived_cl137, zip_derived_cl139,
% 1.31/1.21 zip_derived_cl141, zip_derived_cl150])).
% 1.31/1.21 thf(zip_derived_cl167, plain,
% 1.31/1.21 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.21 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.31/1.21 X14 : $i, X15 : $i, X16 : $i]:
% 1.31/1.21 (ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 1.31/1.21 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @
% 1.31/1.21 X16)),
% 1.31/1.21 inference('demod', [status(thm)],
% 1.31/1.21 [zip_derived_cl64, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.21 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.21 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.21 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.21 zip_derived_cl136, zip_derived_cl137, zip_derived_cl139,
% 1.31/1.21 zip_derived_cl141, zip_derived_cl150, zip_derived_cl160])).
% 1.31/1.21 thf(zip_derived_cl169, plain,
% 1.31/1.21 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.31/1.21 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.31/1.21 X14 : $i, X15 : $i, X16 : $i, X17 : $i]:
% 1.31/1.21 ( (ssPv24_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 1.31/1.21 | ~ (ssPv22_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 1.31/1.21 | ~ (ssPv20_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.31/1.21 X7 @ X8)
% 1.31/1.21 | ~ (ssPv11_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 1.31/1.21 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 1.31/1.21 X14 @ X15 @ X16 @ X17))),
% 1.31/1.21 inference('demod', [status(thm)],
% 1.31/1.21 [zip_derived_cl60, zip_derived_cl101, zip_derived_cl107,
% 1.31/1.21 zip_derived_cl108, zip_derived_cl109, zip_derived_cl110,
% 1.31/1.21 zip_derived_cl112, zip_derived_cl114, zip_derived_cl121,
% 1.31/1.21 zip_derived_cl122, zip_derived_cl123, zip_derived_cl129,
% 1.31/1.21 zip_derived_cl136, zip_derived_cl137, zip_derived_cl139,
% 1.31/1.21 zip_derived_cl141, zip_derived_cl150, zip_derived_cl160,
% 1.31/1.21 zip_derived_cl167])).
% 1.31/1.21 thf(zip_derived_cl215, plain,
% 1.31/1.21 (![X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i, X14 : $i, X15 : $i,
% 1.31/1.21 X16 : $i, X17 : $i]:
% 1.31/1.21 (~ (ssPv23_6r1r1r1r1r1r1 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12)
% 1.31/1.21 | ~ (ssPv20_9r1r1r1r1r1r1r1r1r1 @ X17 @ X16 @ X15 @ X14 @ X13 @
% 1.31/1.21 X12 @ X11 @ X10 @ X9)
% 1.31/1.21 | ~ (ssPv20_9r1r1r1r1r1r1r1r1r1 @ X17 @ X16 @ X15 @ X14 @ X13 @
% 1.31/1.21 X12 @ X11 @ X10 @ X9)
% 1.31/1.21 | ~ (ssPv22_7r1r1r1r1r1r1r1 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11)
% 1.31/1.21 | (ssPv24_5r1r1r1r1r1 @ X17 @ X16 @ X15 @ X14 @ X13))),
% 1.31/1.21 inference('sup-', [status(thm)], [zip_derived_cl214, zip_derived_cl169])).
% 1.31/1.21 thf(zip_derived_cl218, plain,
% 1.31/1.21 (![X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i, X14 : $i, X15 : $i,
% 1.31/1.21 X16 : $i, X17 : $i]:
% 1.31/1.21 ( (ssPv24_5r1r1r1r1r1 @ X17 @ X16 @ X15 @ X14 @ X13)
% 1.31/1.21 | ~ (ssPv22_7r1r1r1r1r1r1r1 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11)
% 1.31/1.21 | ~ (ssPv20_9r1r1r1r1r1r1r1r1r1 @ X17 @ X16 @ X15 @ X14 @ X13 @
% 1.31/1.21 X12 @ X11 @ X10 @ X9)
% 1.31/1.21 | ~ (ssPv23_6r1r1r1r1r1r1 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12))),
% 1.31/1.21 inference('simplify', [status(thm)], [zip_derived_cl215])).
% 1.31/1.21 thf(zip_derived_cl334, plain,
% 1.31/1.21 (![X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i, X8 : $i]:
% 1.31/1.21 ( (ssPv24_5r1r1r1r1r1 @ X8 @ X7 @ X6 @ X5 @ X4)
% 1.31/1.21 | (ssPv21_8r1r1r1r1r1r1r1r1 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1)
% 1.31/1.21 | ~ (ssPv23_6r1r1r1r1r1r1 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3)
% 1.31/1.21 | ~ (ssPv22_7r1r1r1r1r1r1r1 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2)
% 1.31/1.21 | (ssPv24_5r1r1r1r1r1 @ X8 @ X7 @ X6 @ X5 @ X4))),
% 1.31/1.21 inference('sup-', [status(thm)], [zip_derived_cl328, zip_derived_cl218])).
% 1.31/1.21 thf(zip_derived_cl338, plain,
% 1.31/1.21 (![X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i, X8 : $i]:
% 1.31/1.21 (~ (ssPv22_7r1r1r1r1r1r1r1 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2)
% 1.31/1.21 | ~ (ssPv23_6r1r1r1r1r1r1 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3)
% 1.31/1.21 | (ssPv21_8r1r1r1r1r1r1r1r1 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1)
% 1.31/1.21 | (ssPv24_5r1r1r1r1r1 @ X8 @ X7 @ X6 @ X5 @ X4))),
% 1.31/1.21 inference('simplify', [status(thm)], [zip_derived_cl334])).
% 1.31/1.21 thf(zip_derived_cl119, plain,
% 1.31/1.21 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 1.31/1.21 ~ (ssPv21_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ skc41)),
% 1.31/1.21 inference('demod', [status(thm)],
% 1.31/1.21 [zip_derived_cl103, zip_derived_cl107, zip_derived_cl108,
% 1.31/1.21 zip_derived_cl109, zip_derived_cl110, zip_derived_cl112,
% 1.31/1.21 zip_derived_cl114])).
% 1.31/1.21 thf(zip_derived_cl345, plain,
% 1.31/1.21 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 1.31/1.21 ( (ssPv24_5r1r1r1r1r1 @ X6 @ X5 @ X4 @ X3 @ X2)
% 1.31/1.21 | ~ (ssPv23_6r1r1r1r1r1r1 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1)
% 1.31/1.21 | ~ (ssPv22_7r1r1r1r1r1r1r1 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0))),
% 1.31/1.21 inference('sup-', [status(thm)], [zip_derived_cl338, zip_derived_cl119])).
% 1.31/1.21 thf(zip_derived_cl346, plain,
% 1.31/1.21 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.31/1.21 (~ (ssPv23_6r1r1r1r1r1r1 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 1.31/1.21 | (ssPv24_5r1r1r1r1r1 @ X5 @ X4 @ X3 @ X2 @ X1))),
% 1.31/1.21 inference('sup-', [status(thm)], [zip_derived_cl118, zip_derived_cl345])).
% 1.31/1.21 thf(zip_derived_cl347, plain,
% 1.31/1.21 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.31/1.21 (ssPv24_5r1r1r1r1r1 @ X4 @ X3 @ X2 @ X1 @ X0)),
% 1.31/1.21 inference('sup-', [status(thm)], [zip_derived_cl113, zip_derived_cl346])).
% 1.31/1.21 thf(zip_derived_cl348, plain, ($false),
% 1.31/1.21 inference('demod', [status(thm)], [zip_derived_cl115, zip_derived_cl347])).
% 1.31/1.21
% 1.31/1.21 % SZS output end Refutation
% 1.31/1.21
% 1.31/1.21
% 1.31/1.21 % /export/starexec/sandbox/solver/bin/fo/fo1_lcnf.sh running for 50s
% 1.31/1.21 % Terminating...
% 1.75/1.26 % Runner terminated.
% 1.75/1.27 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------