TSTP Solution File: SYN819-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYN819-1 : 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.vJlAUMLjp6 true
% Computer : n016.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 04:05:36 EDT 2023
% Result : Unsatisfiable 21.58s 3.73s
% Output : Refutation 22.06s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN819-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.vJlAUMLjp6 true
% 0.18/0.35 % Computer : n016.cluster.edu
% 0.18/0.35 % Model : x86_64 x86_64
% 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.35 % Memory : 8042.1875MB
% 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.18/0.35 % CPULimit : 300
% 0.18/0.35 % WCLimit : 300
% 0.18/0.35 % DateTime : Sat Aug 26 19:55:42 EDT 2023
% 0.18/0.35 % CPUTime :
% 0.18/0.35 % Running portfolio for 300 s
% 0.18/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.35 % Number of cores: 8
% 0.21/0.35 % Python version: Python 3.6.8
% 0.21/0.36 % 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
% 0.21/0.74 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.74 % /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
% 0.21/0.76 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.76 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.77 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.78 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 21.58/3.73 % Solved by fo/fo7.sh.
% 21.58/3.73 % done 1656 iterations in 2.733s
% 21.58/3.73 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 21.58/3.73 % SZS output start Refutation
% 21.58/3.73 thf(ssPv20_10r1r1r1r1r1r1r1r1r1r1_type, type, ssPv20_10r1r1r1r1r1r1r1r1r1r1:
% 21.58/3.73 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 21.58/3.73 thf(ssNder1_4r1r1r1r1_type, type, ssNder1_4r1r1r1r1: $i > $i > $i > $i > $o).
% 21.58/3.73 thf(ssPv20_11r1r1r1r1r1r1r1r1r1r1r1_type, type, ssPv20_11r1r1r1r1r1r1r1r1r1r1r1:
% 21.58/3.73 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 21.58/3.73 thf(ssNder1_1r1_type, type, ssNder1_1r1: $i > $o).
% 21.58/3.73 thf(ssPv10_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssPv10_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 21.58/3.73 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 21.58/3.73 thf(skc29_type, type, skc29: $i).
% 21.58/3.73 thf(ssPv20_8r1r1r1r1r1r1r1r1_type, type, ssPv20_8r1r1r1r1r1r1r1r1: $i > $i >
% 21.58/3.73 $i > $i >
% 21.58/3.73 $i > $i >
% 21.58/3.73 $i > $i > $o).
% 21.58/3.73 thf(ssPv18_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssPv18_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 21.58/3.73 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 21.58/3.73 thf(ssNder1_8r1r1r1r1r1r1r1r1_type, type, ssNder1_8r1r1r1r1r1r1r1r1:
% 21.58/3.73 $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 21.58/3.73 thf(ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1:
% 21.58/3.73 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 21.58/3.73 thf(ssNder1_6r1r1r1r1r1r1_type, type, ssNder1_6r1r1r1r1r1r1: $i > $i > $i >
% 21.58/3.73 $i > $i > $i > $o).
% 21.58/3.73 thf(ssNder1_7r1r1r1r1r1r1r1_type, type, ssNder1_7r1r1r1r1r1r1r1: $i > $i >
% 21.58/3.73 $i > $i >
% 21.58/3.73 $i > $i > $i > $o).
% 21.58/3.73 thf(ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 21.58/3.73 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 21.58/3.73 thf(ssPv15_11r1r1r1r1r1r1r1r1r1r1r1_type, type, ssPv15_11r1r1r1r1r1r1r1r1r1r1r1:
% 21.58/3.73 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 21.58/3.73 thf(ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 21.58/3.73 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 21.58/3.73 thf(ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 21.58/3.73 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 21.58/3.73 thf(ssPv18_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssPv18_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 21.58/3.73 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 21.58/3.73 thf(ssPv20_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssPv20_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 21.58/3.73 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i >
% 21.58/3.73 $i > $i > $o).
% 21.58/3.73 thf(ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1:
% 21.58/3.73 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 21.58/3.73 thf(ssNder1_10r1r1r1r1r1r1r1r1r1r1_type, type, ssNder1_10r1r1r1r1r1r1r1r1r1r1:
% 21.58/3.73 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 21.58/3.73 thf(ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 21.58/3.73 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 21.58/3.73 thf(ssPv16_7r1r1r1r1r1r1r1_type, type, ssPv16_7r1r1r1r1r1r1r1: $i > $i >
% 21.58/3.73 $i > $i >
% 21.58/3.73 $i > $i > $i > $o).
% 21.58/3.73 thf(ssPv8_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssPv8_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 21.58/3.73 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 21.58/3.73 thf(ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 21.58/3.73 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 21.58/3.73 thf(skc20_type, type, skc20: $i).
% 21.58/3.73 thf(ssPv15_12r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssPv15_12r1r1r1r1r1r1r1r1r1r1r1r1:
% 21.58/3.73 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 21.58/3.73 thf(ssPv14_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssPv14_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 21.58/3.73 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 21.58/3.73 thf(skc28_type, type, skc28: $i).
% 21.58/3.73 thf(skc30_type, type, skc30: $i).
% 21.58/3.73 thf(ssPv16_8r1r1r1r1r1r1r1r1_type, type, ssPv16_8r1r1r1r1r1r1r1r1: $i > $i >
% 21.58/3.73 $i > $i >
% 21.58/3.73 $i > $i >
% 21.58/3.73 $i > $i > $o).
% 21.58/3.73 thf(skc27_type, type, skc27: $i).
% 21.58/3.73 thf(ssPv10_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssPv10_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 21.58/3.73 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 21.58/3.73 thf(ssPv18_5r1r1r1r1r1_type, type, ssPv18_5r1r1r1r1r1: $i > $i > $i > $i > $i > $o).
% 21.58/3.73 thf(ssPv15_6r1r1r1r1r1r1_type, type, ssPv15_6r1r1r1r1r1r1: $i > $i > $i >
% 21.58/3.73 $i > $i > $i > $o).
% 21.58/3.73 thf(ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 21.58/3.73 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 21.58/3.73 thf(ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 21.58/3.73 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 21.58/3.73 thf(ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1:
% 21.58/3.73 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 21.58/3.73 thf(ssPv20_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssPv20_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 21.58/3.73 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 21.58/3.73 thf(ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 21.58/3.73 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 21.58/3.73 thf(ssPv18_8r1r1r1r1r1r1r1r1_type, type, ssPv18_8r1r1r1r1r1r1r1r1: $i > $i >
% 21.58/3.73 $i > $i >
% 21.58/3.73 $i > $i >
% 21.58/3.73 $i > $i > $o).
% 21.58/3.73 thf(ssPv18_6r1r1r1r1r1r1_type, type, ssPv18_6r1r1r1r1r1r1: $i > $i > $i >
% 21.58/3.73 $i > $i > $i > $o).
% 21.58/3.73 thf(ssPv14_12r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssPv14_12r1r1r1r1r1r1r1r1r1r1r1r1:
% 21.58/3.73 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 21.58/3.73 thf(ssPv15_7r1r1r1r1r1r1r1_type, type, ssPv15_7r1r1r1r1r1r1r1: $i > $i >
% 21.58/3.73 $i > $i >
% 21.58/3.73 $i > $i > $i > $o).
% 21.58/3.73 thf(ssNder1_3r1r1r1_type, type, ssNder1_3r1r1r1: $i > $i > $i > $o).
% 21.58/3.73 thf(ssPv9_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssPv9_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 21.58/3.73 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 21.58/3.73 thf(skc26_type, type, skc26: $i).
% 21.58/3.73 thf(ssPv14_9r1r1r1r1r1r1r1r1r1_type, type, ssPv14_9r1r1r1r1r1r1r1r1r1:
% 21.58/3.73 $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 21.58/3.73 thf(ssPv8_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssPv8_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 21.58/3.73 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 21.58/3.73 thf(ssPv16_5r1r1r1r1r1_type, type, ssPv16_5r1r1r1r1r1: $i > $i > $i > $i > $i > $o).
% 21.58/3.73 thf(ssPv9_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssPv9_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 21.58/3.73 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 21.58/3.73 thf(ssPv20_9r1r1r1r1r1r1r1r1r1_type, type, ssPv20_9r1r1r1r1r1r1r1r1r1:
% 21.58/3.73 $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 21.58/3.73 thf(ssPv20_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssPv20_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 21.58/3.73 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 21.58/3.73 thf(ssPv18_7r1r1r1r1r1r1r1_type, type, ssPv18_7r1r1r1r1r1r1r1: $i > $i >
% 21.58/3.73 $i > $i >
% 21.58/3.73 $i > $i > $i > $o).
% 21.58/3.73 thf(ssPv18_4r1r1r1r1_type, type, ssPv18_4r1r1r1r1: $i > $i > $i > $i > $o).
% 21.58/3.73 thf(ssPv14_13r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssPv14_13r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 21.58/3.73 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 21.58/3.73 thf(ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1:
% 21.58/3.73 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 21.58/3.73 thf(ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 21.58/3.73 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 21.58/3.73 thf(ssNder1_9r1r1r1r1r1r1r1r1r1_type, type, ssNder1_9r1r1r1r1r1r1r1r1r1:
% 21.58/3.73 $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 21.58/3.73 thf(ssPv16_9r1r1r1r1r1r1r1r1r1_type, type, ssPv16_9r1r1r1r1r1r1r1r1r1:
% 21.58/3.73 $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 21.58/3.73 thf(ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 21.58/3.73 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 21.58/3.73 thf(ssNder1_5r1r1r1r1r1_type, type, ssNder1_5r1r1r1r1r1: $i > $i > $i > $i >
% 21.58/3.73 $i > $o).
% 21.58/3.73 thf(ssNder1_11r1r1r1r1r1r1r1r1r1r1r1_type, type, ssNder1_11r1r1r1r1r1r1r1r1r1r1r1:
% 21.58/3.73 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 21.58/3.73 thf(ssPv15_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssPv15_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 21.58/3.73 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 21.58/3.73 thf(ssNder1_0_type, type, ssNder1_0: $o).
% 21.58/3.73 thf(ssPv20_12r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssPv20_12r1r1r1r1r1r1r1r1r1r1r1r1:
% 21.58/3.73 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 21.58/3.73 thf(skc16_type, type, skc16: $i).
% 21.58/3.73 thf(skc21_type, type, skc21: $i).
% 21.58/3.73 thf(ssPv14_11r1r1r1r1r1r1r1r1r1r1r1_type, type, ssPv14_11r1r1r1r1r1r1r1r1r1r1r1:
% 21.58/3.73 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 21.58/3.73 thf(ssPv10_11r1r1r1r1r1r1r1r1r1r1r1_type, type, ssPv10_11r1r1r1r1r1r1r1r1r1r1r1:
% 21.58/3.73 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 21.58/3.73 thf(ssPv14_7r1r1r1r1r1r1r1_type, type, ssPv14_7r1r1r1r1r1r1r1: $i > $i >
% 21.58/3.73 $i > $i >
% 21.58/3.73 $i > $i > $i > $o).
% 21.58/3.73 thf(ssPv16_11r1r1r1r1r1r1r1r1r1r1r1_type, type, ssPv16_11r1r1r1r1r1r1r1r1r1r1r1:
% 21.58/3.73 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 21.58/3.73 thf(ssPv20_13r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssPv20_13r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 21.58/3.73 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 21.58/3.73 thf(ssPv15_9r1r1r1r1r1r1r1r1r1_type, type, ssPv15_9r1r1r1r1r1r1r1r1r1:
% 21.58/3.73 $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 21.58/3.73 thf(ssPv14_10r1r1r1r1r1r1r1r1r1r1_type, type, ssPv14_10r1r1r1r1r1r1r1r1r1r1:
% 21.58/3.73 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 21.58/3.73 thf(ssPv14_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssPv14_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 21.58/3.73 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 21.58/3.73 thf(ssPv20_7r1r1r1r1r1r1r1_type, type, ssPv20_7r1r1r1r1r1r1r1: $i > $i >
% 21.58/3.73 $i > $i >
% 21.58/3.73 $i > $i > $i > $o).
% 21.58/3.73 thf(ssPv15_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssPv15_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 21.58/3.73 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i >
% 21.58/3.73 $i > $i > $o).
% 21.58/3.73 thf(ssPv18_11r1r1r1r1r1r1r1r1r1r1r1_type, type, ssPv18_11r1r1r1r1r1r1r1r1r1r1r1:
% 21.58/3.73 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 21.58/3.73 thf(skc18_type, type, skc18: $i).
% 21.58/3.73 thf(ssPv15_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssPv15_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 21.58/3.73 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 21.58/3.73 thf(ssPv18_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssPv18_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 21.58/3.73 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i >
% 21.58/3.73 $i > $i > $o).
% 21.58/3.73 thf(ssPv15_13r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssPv15_13r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 21.58/3.73 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 21.58/3.73 thf(ssPv16_10r1r1r1r1r1r1r1r1r1r1_type, type, ssPv16_10r1r1r1r1r1r1r1r1r1r1:
% 21.58/3.73 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 21.58/3.73 thf(skc19_type, type, skc19: $i).
% 21.58/3.73 thf(ssPv14_8r1r1r1r1r1r1r1r1_type, type, ssPv14_8r1r1r1r1r1r1r1r1: $i > $i >
% 21.58/3.73 $i > $i >
% 21.58/3.73 $i > $i >
% 21.58/3.73 $i > $i > $o).
% 21.58/3.73 thf(ssPv15_8r1r1r1r1r1r1r1r1_type, type, ssPv15_8r1r1r1r1r1r1r1r1: $i > $i >
% 21.58/3.73 $i > $i >
% 21.58/3.73 $i > $i >
% 21.58/3.73 $i > $i > $o).
% 21.58/3.73 thf(ssPv10_13r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssPv10_13r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 21.58/3.73 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 21.58/3.73 thf(ssPv18_10r1r1r1r1r1r1r1r1r1r1_type, type, ssPv18_10r1r1r1r1r1r1r1r1r1r1:
% 21.58/3.73 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 21.58/3.73 thf(ssPv15_10r1r1r1r1r1r1r1r1r1r1_type, type, ssPv15_10r1r1r1r1r1r1r1r1r1r1:
% 21.58/3.73 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 21.58/3.73 thf(ssPv9_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssPv9_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 21.58/3.73 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i >
% 21.58/3.73 $i > $i > $o).
% 21.58/3.73 thf(ssNder1_2r1r1_type, type, ssNder1_2r1r1: $i > $i > $o).
% 21.58/3.73 thf(ssPv20_6r1r1r1r1r1r1_type, type, ssPv20_6r1r1r1r1r1r1: $i > $i > $i >
% 21.58/3.73 $i > $i > $i > $o).
% 21.58/3.73 thf(ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 21.58/3.73 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i >
% 21.58/3.73 $i > $i > $o).
% 21.58/3.73 thf(ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1:
% 21.58/3.73 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 21.58/3.73 thf(ssPv10_12r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssPv10_12r1r1r1r1r1r1r1r1r1r1r1r1:
% 21.58/3.73 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 21.58/3.73 thf(ssPv18_9r1r1r1r1r1r1r1r1r1_type, type, ssPv18_9r1r1r1r1r1r1r1r1r1:
% 21.58/3.73 $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 21.58/3.73 thf(ssPv16_6r1r1r1r1r1r1_type, type, ssPv16_6r1r1r1r1r1r1: $i > $i > $i >
% 21.58/3.73 $i > $i > $i > $o).
% 21.58/3.73 thf(ssPv14_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssPv14_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 21.58/3.73 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i >
% 21.58/3.73 $i > $i > $o).
% 21.58/3.73 thf(skc22_type, type, skc22: $i).
% 21.58/3.73 thf(clause33, conjecture,
% 21.58/3.73 (~( ( ssPv15_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ skc28 ) |
% 21.58/3.73 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 21.58/3.73 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 21.58/3.73 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 21.58/3.73 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) ))).
% 21.58/3.73 thf(zf_stmt_0, negated_conjecture,
% 21.58/3.73 (( ssPv15_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ skc28 ) |
% 21.58/3.73 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 21.58/3.73 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 21.58/3.73 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) )),
% 21.58/3.73 inference('cnf.neg', [status(esa)], [clause33])).
% 21.58/3.73 thf(zip_derived_cl511, plain,
% 21.58/3.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 21.58/3.73 ( (ssPv15_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ skc28)
% 21.58/3.73 | ~ (ssNder1_0)
% 21.58/3.73 | ~ (ssNder1_1r1 @ X0)
% 21.58/3.73 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 21.58/3.73 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 21.58/3.73 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3))),
% 21.58/3.73 inference('cnf', [status(esa)], [zf_stmt_0])).
% 21.58/3.73 thf(clause1, conjecture, (~( ssNder1_0 ))).
% 21.58/3.73 thf(zf_stmt_1, negated_conjecture, (ssNder1_0),
% 21.58/3.73 inference('cnf.neg', [status(esa)], [clause1])).
% 21.58/3.73 thf(zip_derived_cl543, plain, ( (ssNder1_0)),
% 21.58/3.73 inference('cnf', [status(esa)], [zf_stmt_1])).
% 21.58/3.73 thf(clause2, conjecture, (~( ( ssNder1_1r1 @ U ) | ( ~( ssNder1_0 ) ) ))).
% 21.58/3.73 thf(zf_stmt_2, negated_conjecture,
% 21.58/3.73 (( ssNder1_1r1 @ U ) | ( ~( ssNder1_0 ) )),
% 21.58/3.73 inference('cnf.neg', [status(esa)], [clause2])).
% 21.58/3.73 thf(zip_derived_cl542, plain,
% 21.58/3.73 (![X0 : $i]: ( (ssNder1_1r1 @ X0) | ~ (ssNder1_0))),
% 21.58/3.73 inference('cnf', [status(esa)], [zf_stmt_2])).
% 21.58/3.73 thf(zip_derived_cl543, plain, ( (ssNder1_0)),
% 21.58/3.73 inference('cnf', [status(esa)], [zf_stmt_1])).
% 21.58/3.73 thf(zip_derived_cl549, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 21.58/3.73 inference('demod', [status(thm)], [zip_derived_cl542, zip_derived_cl543])).
% 21.58/3.73 thf(clause3, conjecture,
% 21.58/3.73 (~( ( ssNder1_2r1r1 @ U @ V ) | ( ~( ssNder1_0 ) ) |
% 21.58/3.73 ( ~( ssNder1_1r1 @ U ) ) ))).
% 21.58/3.73 thf(zf_stmt_3, negated_conjecture,
% 21.58/3.73 (( ssNder1_2r1r1 @ U @ V ) | ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) )),
% 21.58/3.73 inference('cnf.neg', [status(esa)], [clause3])).
% 21.58/3.73 thf(zip_derived_cl541, plain,
% 21.58/3.73 (![X0 : $i, X1 : $i]:
% 21.58/3.73 ( (ssNder1_2r1r1 @ X0 @ X1) | ~ (ssNder1_0) | ~ (ssNder1_1r1 @ X0))),
% 21.58/3.73 inference('cnf', [status(esa)], [zf_stmt_3])).
% 21.58/3.73 thf(zip_derived_cl543, plain, ( (ssNder1_0)),
% 21.58/3.73 inference('cnf', [status(esa)], [zf_stmt_1])).
% 21.58/3.73 thf(zip_derived_cl549, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 21.58/3.73 inference('demod', [status(thm)], [zip_derived_cl542, zip_derived_cl543])).
% 21.58/3.73 thf(zip_derived_cl550, plain,
% 21.58/3.73 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 21.58/3.73 inference('demod', [status(thm)],
% 21.58/3.73 [zip_derived_cl541, zip_derived_cl543, zip_derived_cl549])).
% 21.58/3.73 thf(clause9, conjecture,
% 21.58/3.73 (~( ( ssNder1_3r1r1r1 @ U @ V @ W ) | ( ~( ssNder1_0 ) ) |
% 21.58/3.73 ( ~( ssNder1_1r1 @ U ) ) | ( ~( ssNder1_2r1r1 @ U @ V ) ) ))).
% 21.58/3.73 thf(zf_stmt_4, negated_conjecture,
% 21.58/3.73 (( ssNder1_3r1r1r1 @ U @ V @ W ) | ( ~( ssNder1_0 ) ) |
% 21.58/3.73 ( ~( ssNder1_1r1 @ U ) ) | ( ~( ssNder1_2r1r1 @ U @ V ) )),
% 21.58/3.73 inference('cnf.neg', [status(esa)], [clause9])).
% 21.58/3.73 thf(zip_derived_cl535, plain,
% 21.58/3.73 (![X0 : $i, X1 : $i, X2 : $i]:
% 21.58/3.73 ( (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 21.58/3.73 | ~ (ssNder1_0)
% 21.58/3.73 | ~ (ssNder1_1r1 @ X0)
% 21.58/3.73 | ~ (ssNder1_2r1r1 @ X0 @ X1))),
% 21.58/3.73 inference('cnf', [status(esa)], [zf_stmt_4])).
% 21.58/3.73 thf(zip_derived_cl543, plain, ( (ssNder1_0)),
% 21.58/3.73 inference('cnf', [status(esa)], [zf_stmt_1])).
% 21.58/3.73 thf(zip_derived_cl549, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 21.58/3.73 inference('demod', [status(thm)], [zip_derived_cl542, zip_derived_cl543])).
% 21.58/3.73 thf(zip_derived_cl550, plain,
% 21.58/3.73 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 21.58/3.73 inference('demod', [status(thm)],
% 21.58/3.73 [zip_derived_cl541, zip_derived_cl543, zip_derived_cl549])).
% 21.58/3.73 thf(zip_derived_cl556, plain,
% 21.58/3.73 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 21.58/3.73 inference('demod', [status(thm)],
% 21.58/3.73 [zip_derived_cl535, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.73 zip_derived_cl550])).
% 21.58/3.73 thf(clause18, conjecture,
% 21.58/3.73 (~( ( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) | ( ~( ssNder1_0 ) ) |
% 21.58/3.73 ( ~( ssNder1_1r1 @ U ) ) | ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 21.58/3.73 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) ))).
% 21.58/3.73 thf(zf_stmt_5, negated_conjecture,
% 21.58/3.73 (( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) | ( ~( ssNder1_0 ) ) |
% 21.58/3.73 ( ~( ssNder1_1r1 @ U ) ) | ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 21.58/3.73 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) )),
% 21.58/3.73 inference('cnf.neg', [status(esa)], [clause18])).
% 21.58/3.73 thf(zip_derived_cl526, plain,
% 21.58/3.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 21.58/3.73 ( (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 21.58/3.73 | ~ (ssNder1_0)
% 21.58/3.73 | ~ (ssNder1_1r1 @ X0)
% 21.58/3.73 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 21.58/3.73 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2))),
% 21.58/3.73 inference('cnf', [status(esa)], [zf_stmt_5])).
% 21.58/3.73 thf(zip_derived_cl543, plain, ( (ssNder1_0)),
% 21.58/3.73 inference('cnf', [status(esa)], [zf_stmt_1])).
% 21.58/3.73 thf(zip_derived_cl549, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 21.58/3.73 inference('demod', [status(thm)], [zip_derived_cl542, zip_derived_cl543])).
% 21.58/3.73 thf(zip_derived_cl550, plain,
% 21.58/3.73 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 21.58/3.73 inference('demod', [status(thm)],
% 21.58/3.73 [zip_derived_cl541, zip_derived_cl543, zip_derived_cl549])).
% 21.58/3.73 thf(zip_derived_cl556, plain,
% 21.58/3.73 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 21.58/3.73 inference('demod', [status(thm)],
% 21.58/3.73 [zip_derived_cl535, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.73 zip_derived_cl550])).
% 21.58/3.73 thf(zip_derived_cl574, plain,
% 21.58/3.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 21.58/3.73 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 21.58/3.73 inference('demod', [status(thm)],
% 21.58/3.73 [zip_derived_cl526, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.73 zip_derived_cl550, zip_derived_cl556])).
% 21.58/3.73 thf(zip_derived_cl604, plain,
% 21.58/3.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 21.58/3.73 (ssPv15_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ skc28)),
% 21.58/3.73 inference('demod', [status(thm)],
% 21.58/3.73 [zip_derived_cl511, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.73 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574])).
% 21.58/3.73 thf(clause49, conjecture,
% 21.58/3.73 (~( ( ssPv14_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ skc26 ) |
% 21.58/3.73 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 21.58/3.73 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 21.58/3.73 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 21.58/3.73 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 21.58/3.73 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) ))).
% 21.58/3.73 thf(zf_stmt_6, negated_conjecture,
% 21.58/3.73 (( ssPv14_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ skc26 ) |
% 21.58/3.73 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 21.58/3.73 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 21.58/3.73 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 21.58/3.73 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) )),
% 21.58/3.73 inference('cnf.neg', [status(esa)], [clause49])).
% 21.58/3.73 thf(zip_derived_cl495, plain,
% 21.58/3.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 21.58/3.73 ( (ssPv14_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ skc26)
% 21.58/3.73 | ~ (ssNder1_0)
% 21.58/3.73 | ~ (ssNder1_1r1 @ X0)
% 21.58/3.73 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 21.58/3.73 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 21.58/3.73 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 21.58/3.73 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4))),
% 21.58/3.73 inference('cnf', [status(esa)], [zf_stmt_6])).
% 21.58/3.73 thf(zip_derived_cl543, plain, ( (ssNder1_0)),
% 21.58/3.73 inference('cnf', [status(esa)], [zf_stmt_1])).
% 21.58/3.73 thf(zip_derived_cl549, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 21.58/3.73 inference('demod', [status(thm)], [zip_derived_cl542, zip_derived_cl543])).
% 21.58/3.73 thf(zip_derived_cl550, plain,
% 21.58/3.73 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 21.58/3.73 inference('demod', [status(thm)],
% 21.58/3.73 [zip_derived_cl541, zip_derived_cl543, zip_derived_cl549])).
% 21.58/3.73 thf(zip_derived_cl556, plain,
% 21.58/3.73 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 21.58/3.73 inference('demod', [status(thm)],
% 21.58/3.73 [zip_derived_cl535, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.73 zip_derived_cl550])).
% 21.58/3.73 thf(zip_derived_cl574, plain,
% 21.58/3.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 21.58/3.73 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 21.58/3.73 inference('demod', [status(thm)],
% 21.58/3.73 [zip_derived_cl526, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.73 zip_derived_cl550, zip_derived_cl556])).
% 21.58/3.73 thf(clause32, conjecture,
% 21.58/3.73 (~( ( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) | ( ~( ssNder1_0 ) ) |
% 21.58/3.73 ( ~( ssNder1_1r1 @ U ) ) | ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 21.58/3.73 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 21.58/3.73 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) ))).
% 21.58/3.73 thf(zf_stmt_7, negated_conjecture,
% 21.58/3.73 (( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) | ( ~( ssNder1_0 ) ) |
% 21.58/3.73 ( ~( ssNder1_1r1 @ U ) ) | ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 21.58/3.73 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 21.58/3.73 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) )),
% 21.58/3.73 inference('cnf.neg', [status(esa)], [clause32])).
% 21.58/3.73 thf(zip_derived_cl512, plain,
% 21.58/3.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 21.58/3.73 ( (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 21.58/3.73 | ~ (ssNder1_0)
% 21.58/3.73 | ~ (ssNder1_1r1 @ X0)
% 21.58/3.73 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 21.58/3.73 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 21.58/3.73 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3))),
% 21.58/3.73 inference('cnf', [status(esa)], [zf_stmt_7])).
% 21.58/3.73 thf(zip_derived_cl543, plain, ( (ssNder1_0)),
% 21.58/3.73 inference('cnf', [status(esa)], [zf_stmt_1])).
% 21.58/3.73 thf(zip_derived_cl549, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 21.58/3.73 inference('demod', [status(thm)], [zip_derived_cl542, zip_derived_cl543])).
% 21.58/3.73 thf(zip_derived_cl550, plain,
% 21.58/3.73 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 21.58/3.73 inference('demod', [status(thm)],
% 21.58/3.73 [zip_derived_cl541, zip_derived_cl543, zip_derived_cl549])).
% 21.58/3.73 thf(zip_derived_cl556, plain,
% 21.58/3.73 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 21.58/3.73 inference('demod', [status(thm)],
% 21.58/3.73 [zip_derived_cl535, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.73 zip_derived_cl550])).
% 21.58/3.73 thf(zip_derived_cl574, plain,
% 21.58/3.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 21.58/3.73 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 21.58/3.73 inference('demod', [status(thm)],
% 21.58/3.73 [zip_derived_cl526, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.73 zip_derived_cl550, zip_derived_cl556])).
% 21.58/3.73 thf(zip_derived_cl595, plain,
% 21.58/3.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 21.58/3.73 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 21.58/3.73 inference('demod', [status(thm)],
% 21.58/3.73 [zip_derived_cl512, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.73 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574])).
% 21.58/3.73 thf(zip_derived_cl628, plain,
% 21.58/3.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 21.58/3.73 (ssPv14_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ skc26)),
% 21.58/3.73 inference('demod', [status(thm)],
% 21.58/3.73 [zip_derived_cl495, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.73 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.73 zip_derived_cl595])).
% 21.58/3.73 thf(clause75, conjecture,
% 21.58/3.73 (~( ( ssPv15_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) |
% 21.58/3.73 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 21.58/3.73 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 21.58/3.73 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 21.58/3.73 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 21.58/3.73 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 21.58/3.73 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 21.58/3.73 ( ~( ssPv15_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) ))).
% 21.58/3.73 thf(zf_stmt_8, negated_conjecture,
% 21.58/3.73 (( ssPv15_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) |
% 21.58/3.73 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 21.58/3.73 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 21.58/3.73 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 21.58/3.73 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 21.58/3.73 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 21.58/3.73 ( ~( ssPv15_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) )),
% 21.58/3.73 inference('cnf.neg', [status(esa)], [clause75])).
% 21.58/3.73 thf(zip_derived_cl469, plain,
% 21.58/3.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 21.58/3.73 ( (ssPv15_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 21.58/3.73 | ~ (ssNder1_0)
% 21.58/3.73 | ~ (ssNder1_1r1 @ X0)
% 21.58/3.73 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 21.58/3.73 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 21.58/3.73 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 21.58/3.73 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 21.58/3.73 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 21.58/3.73 | ~ (ssPv15_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5))),
% 21.58/3.73 inference('cnf', [status(esa)], [zf_stmt_8])).
% 21.58/3.73 thf(zip_derived_cl543, plain, ( (ssNder1_0)),
% 21.58/3.73 inference('cnf', [status(esa)], [zf_stmt_1])).
% 21.58/3.73 thf(zip_derived_cl549, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 21.58/3.73 inference('demod', [status(thm)], [zip_derived_cl542, zip_derived_cl543])).
% 21.58/3.73 thf(zip_derived_cl550, plain,
% 21.58/3.73 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 21.58/3.73 inference('demod', [status(thm)],
% 21.58/3.73 [zip_derived_cl541, zip_derived_cl543, zip_derived_cl549])).
% 21.58/3.73 thf(zip_derived_cl556, plain,
% 21.58/3.73 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 21.58/3.73 inference('demod', [status(thm)],
% 21.58/3.73 [zip_derived_cl535, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.73 zip_derived_cl550])).
% 21.58/3.73 thf(zip_derived_cl574, plain,
% 21.58/3.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 21.58/3.73 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 21.58/3.73 inference('demod', [status(thm)],
% 21.58/3.73 [zip_derived_cl526, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.73 zip_derived_cl550, zip_derived_cl556])).
% 21.58/3.73 thf(zip_derived_cl595, plain,
% 21.58/3.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 21.58/3.73 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 21.58/3.73 inference('demod', [status(thm)],
% 21.58/3.73 [zip_derived_cl512, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.73 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574])).
% 21.58/3.73 thf(clause47, conjecture,
% 21.58/3.73 (~( ( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) |
% 21.58/3.73 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 21.58/3.73 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 21.58/3.73 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 21.58/3.73 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 21.58/3.73 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) ))).
% 21.58/3.73 thf(zf_stmt_9, negated_conjecture,
% 21.58/3.73 (( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) | ( ~( ssNder1_0 ) ) |
% 21.58/3.73 ( ~( ssNder1_1r1 @ U ) ) | ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 21.58/3.73 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 21.58/3.73 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 21.58/3.73 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) )),
% 21.58/3.73 inference('cnf.neg', [status(esa)], [clause47])).
% 21.58/3.73 thf(zip_derived_cl497, plain,
% 21.58/3.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 21.58/3.73 ( (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 21.58/3.73 | ~ (ssNder1_0)
% 21.58/3.73 | ~ (ssNder1_1r1 @ X0)
% 21.58/3.73 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 21.58/3.73 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 21.58/3.73 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 21.58/3.73 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4))),
% 21.58/3.73 inference('cnf', [status(esa)], [zf_stmt_9])).
% 21.58/3.73 thf(zip_derived_cl543, plain, ( (ssNder1_0)),
% 21.58/3.73 inference('cnf', [status(esa)], [zf_stmt_1])).
% 21.58/3.73 thf(zip_derived_cl549, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 21.58/3.73 inference('demod', [status(thm)], [zip_derived_cl542, zip_derived_cl543])).
% 21.58/3.73 thf(zip_derived_cl550, plain,
% 21.58/3.73 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 21.58/3.73 inference('demod', [status(thm)],
% 21.58/3.73 [zip_derived_cl541, zip_derived_cl543, zip_derived_cl549])).
% 21.58/3.73 thf(zip_derived_cl556, plain,
% 21.58/3.73 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 21.58/3.73 inference('demod', [status(thm)],
% 21.58/3.73 [zip_derived_cl535, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.73 zip_derived_cl550])).
% 21.58/3.73 thf(zip_derived_cl574, plain,
% 21.58/3.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 21.58/3.73 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 21.58/3.73 inference('demod', [status(thm)],
% 21.58/3.73 [zip_derived_cl526, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.73 zip_derived_cl550, zip_derived_cl556])).
% 21.58/3.73 thf(zip_derived_cl595, plain,
% 21.58/3.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 21.58/3.73 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 21.58/3.73 inference('demod', [status(thm)],
% 21.58/3.73 [zip_derived_cl512, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.73 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574])).
% 21.58/3.73 thf(zip_derived_cl619, plain,
% 21.58/3.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 21.58/3.73 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 21.58/3.73 inference('demod', [status(thm)],
% 21.58/3.73 [zip_derived_cl497, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.73 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.73 zip_derived_cl595])).
% 21.58/3.73 thf(zip_derived_cl667, plain,
% 21.58/3.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 21.58/3.73 ( (ssPv15_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 21.58/3.73 | ~ (ssPv15_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5))),
% 21.58/3.73 inference('demod', [status(thm)],
% 21.58/3.73 [zip_derived_cl469, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.73 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.73 zip_derived_cl595, zip_derived_cl619])).
% 21.58/3.73 thf(clause96, conjecture,
% 21.58/3.73 (~( ( ssPv15_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) |
% 21.58/3.73 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 21.58/3.73 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 21.58/3.73 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 21.58/3.73 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 21.58/3.73 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 21.58/3.73 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 21.58/3.73 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 21.58/3.73 ( ~( ssPv15_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) ))).
% 21.58/3.73 thf(zf_stmt_10, negated_conjecture,
% 21.58/3.73 (( ssPv15_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) |
% 21.58/3.73 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 21.58/3.73 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 21.58/3.73 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 21.58/3.73 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 21.58/3.73 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 21.58/3.73 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 21.58/3.73 ( ~( ssPv15_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) )),
% 21.58/3.73 inference('cnf.neg', [status(esa)], [clause96])).
% 21.58/3.73 thf(zip_derived_cl448, plain,
% 21.58/3.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 21.58/3.73 ( (ssPv15_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)
% 21.58/3.73 | ~ (ssNder1_0)
% 21.58/3.73 | ~ (ssNder1_1r1 @ X0)
% 21.58/3.73 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 21.58/3.73 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 21.58/3.73 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 21.58/3.73 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 21.58/3.73 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 21.58/3.73 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 21.58/3.73 | ~ (ssPv15_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6))),
% 21.58/3.73 inference('cnf', [status(esa)], [zf_stmt_10])).
% 21.58/3.73 thf(zip_derived_cl543, plain, ( (ssNder1_0)),
% 21.58/3.73 inference('cnf', [status(esa)], [zf_stmt_1])).
% 21.58/3.73 thf(zip_derived_cl549, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 21.58/3.73 inference('demod', [status(thm)], [zip_derived_cl542, zip_derived_cl543])).
% 21.58/3.73 thf(zip_derived_cl550, plain,
% 21.58/3.73 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 21.58/3.73 inference('demod', [status(thm)],
% 21.58/3.73 [zip_derived_cl541, zip_derived_cl543, zip_derived_cl549])).
% 21.58/3.73 thf(zip_derived_cl556, plain,
% 21.58/3.73 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 21.58/3.73 inference('demod', [status(thm)],
% 21.58/3.73 [zip_derived_cl535, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.73 zip_derived_cl550])).
% 21.58/3.73 thf(zip_derived_cl574, plain,
% 21.58/3.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 21.58/3.73 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 21.58/3.73 inference('demod', [status(thm)],
% 21.58/3.73 [zip_derived_cl526, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.73 zip_derived_cl550, zip_derived_cl556])).
% 21.58/3.73 thf(zip_derived_cl595, plain,
% 21.58/3.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 21.58/3.73 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 21.58/3.73 inference('demod', [status(thm)],
% 21.58/3.73 [zip_derived_cl512, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.73 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574])).
% 21.58/3.73 thf(zip_derived_cl619, plain,
% 21.58/3.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 21.58/3.73 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 21.58/3.73 inference('demod', [status(thm)],
% 21.58/3.73 [zip_derived_cl497, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.73 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.73 zip_derived_cl595])).
% 21.58/3.73 thf(clause64, conjecture,
% 21.58/3.73 (~( ( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) |
% 21.58/3.73 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 21.58/3.73 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 21.58/3.73 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 21.58/3.73 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 21.58/3.73 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 21.58/3.73 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) ))).
% 21.58/3.73 thf(zf_stmt_11, negated_conjecture,
% 21.58/3.73 (( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) |
% 21.58/3.73 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 21.58/3.73 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 21.58/3.73 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 21.58/3.73 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 21.58/3.73 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) )),
% 21.58/3.73 inference('cnf.neg', [status(esa)], [clause64])).
% 21.58/3.73 thf(zip_derived_cl480, plain,
% 21.58/3.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 21.58/3.73 ( (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 21.58/3.73 | ~ (ssNder1_0)
% 21.58/3.73 | ~ (ssNder1_1r1 @ X0)
% 21.58/3.73 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 21.58/3.73 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 21.58/3.73 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 21.58/3.73 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 21.58/3.73 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5))),
% 21.58/3.73 inference('cnf', [status(esa)], [zf_stmt_11])).
% 21.58/3.73 thf(zip_derived_cl543, plain, ( (ssNder1_0)),
% 21.58/3.73 inference('cnf', [status(esa)], [zf_stmt_1])).
% 21.58/3.73 thf(zip_derived_cl549, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 21.58/3.73 inference('demod', [status(thm)], [zip_derived_cl542, zip_derived_cl543])).
% 21.58/3.73 thf(zip_derived_cl550, plain,
% 21.58/3.73 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 21.58/3.73 inference('demod', [status(thm)],
% 21.58/3.73 [zip_derived_cl541, zip_derived_cl543, zip_derived_cl549])).
% 21.58/3.73 thf(zip_derived_cl556, plain,
% 21.58/3.73 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 21.58/3.73 inference('demod', [status(thm)],
% 21.58/3.73 [zip_derived_cl535, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.73 zip_derived_cl550])).
% 21.58/3.73 thf(zip_derived_cl574, plain,
% 21.58/3.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 21.58/3.73 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 21.58/3.73 inference('demod', [status(thm)],
% 21.58/3.73 [zip_derived_cl526, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.73 zip_derived_cl550, zip_derived_cl556])).
% 21.58/3.73 thf(zip_derived_cl595, plain,
% 21.58/3.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 21.58/3.73 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 21.58/3.73 inference('demod', [status(thm)],
% 21.58/3.73 [zip_derived_cl512, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.73 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574])).
% 21.58/3.73 thf(zip_derived_cl619, plain,
% 21.58/3.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 21.58/3.73 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 21.58/3.73 inference('demod', [status(thm)],
% 21.58/3.73 [zip_derived_cl497, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.73 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.73 zip_derived_cl595])).
% 21.58/3.73 thf(zip_derived_cl646, plain,
% 21.58/3.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 21.58/3.73 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 21.58/3.73 inference('demod', [status(thm)],
% 21.58/3.73 [zip_derived_cl480, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.73 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.73 zip_derived_cl595, zip_derived_cl619])).
% 21.58/3.73 thf(zip_derived_cl699, plain,
% 21.58/3.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 21.58/3.73 ( (ssPv15_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)
% 21.58/3.73 | ~ (ssPv15_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6))),
% 21.58/3.73 inference('demod', [status(thm)],
% 21.58/3.73 [zip_derived_cl448, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.73 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.73 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646])).
% 21.58/3.73 thf(clause97, conjecture,
% 21.58/3.73 (~( ( ssPv14_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) |
% 21.58/3.73 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 21.58/3.73 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 21.58/3.73 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 21.58/3.73 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 21.58/3.73 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 21.58/3.73 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 21.58/3.73 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 21.58/3.73 ( ~( ssPv14_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) ))).
% 21.58/3.73 thf(zf_stmt_12, negated_conjecture,
% 21.58/3.73 (( ssPv14_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) |
% 21.58/3.73 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 21.58/3.73 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 21.58/3.73 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 21.58/3.73 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 21.58/3.73 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 21.58/3.73 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 21.58/3.73 ( ~( ssPv14_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) )),
% 21.58/3.73 inference('cnf.neg', [status(esa)], [clause97])).
% 21.58/3.73 thf(zip_derived_cl447, plain,
% 21.58/3.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 21.58/3.73 ( (ssPv14_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)
% 21.58/3.73 | ~ (ssNder1_0)
% 21.58/3.73 | ~ (ssNder1_1r1 @ X0)
% 21.58/3.73 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 21.58/3.73 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 21.58/3.73 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 21.58/3.73 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 21.58/3.73 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 21.58/3.73 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 21.58/3.73 | ~ (ssPv14_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6))),
% 21.58/3.73 inference('cnf', [status(esa)], [zf_stmt_12])).
% 21.58/3.73 thf(zip_derived_cl543, plain, ( (ssNder1_0)),
% 21.58/3.73 inference('cnf', [status(esa)], [zf_stmt_1])).
% 21.58/3.73 thf(zip_derived_cl549, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 21.58/3.73 inference('demod', [status(thm)], [zip_derived_cl542, zip_derived_cl543])).
% 21.58/3.73 thf(zip_derived_cl550, plain,
% 21.58/3.73 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 21.58/3.73 inference('demod', [status(thm)],
% 21.58/3.73 [zip_derived_cl541, zip_derived_cl543, zip_derived_cl549])).
% 21.58/3.73 thf(zip_derived_cl556, plain,
% 21.58/3.73 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 21.58/3.73 inference('demod', [status(thm)],
% 21.58/3.73 [zip_derived_cl535, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.73 zip_derived_cl550])).
% 21.58/3.73 thf(zip_derived_cl574, plain,
% 21.58/3.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 21.58/3.73 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 21.58/3.73 inference('demod', [status(thm)],
% 21.58/3.73 [zip_derived_cl526, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.73 zip_derived_cl550, zip_derived_cl556])).
% 21.58/3.73 thf(zip_derived_cl595, plain,
% 21.58/3.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 21.58/3.73 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 21.58/3.73 inference('demod', [status(thm)],
% 21.58/3.73 [zip_derived_cl512, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.73 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574])).
% 21.58/3.73 thf(zip_derived_cl619, plain,
% 21.58/3.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 21.58/3.73 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 21.58/3.73 inference('demod', [status(thm)],
% 21.58/3.73 [zip_derived_cl497, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.73 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.73 zip_derived_cl595])).
% 21.58/3.73 thf(zip_derived_cl646, plain,
% 21.58/3.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 21.58/3.73 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 21.58/3.73 inference('demod', [status(thm)],
% 21.58/3.73 [zip_derived_cl480, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.73 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.73 zip_derived_cl595, zip_derived_cl619])).
% 21.58/3.73 thf(zip_derived_cl697, plain,
% 21.58/3.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 21.58/3.73 ( (ssPv14_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)
% 21.58/3.73 | ~ (ssPv14_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6))),
% 21.58/3.73 inference('demod', [status(thm)],
% 21.58/3.73 [zip_derived_cl447, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.73 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.73 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646])).
% 21.58/3.73 thf(clause122, conjecture,
% 21.58/3.73 (~( ( ssPv14_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) |
% 21.58/3.73 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 21.58/3.73 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 21.58/3.73 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 21.58/3.73 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 21.58/3.73 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 21.58/3.73 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 21.58/3.73 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 21.58/3.73 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 21.58/3.73 ( ~( ssPv14_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) ))).
% 21.58/3.73 thf(zf_stmt_13, negated_conjecture,
% 21.58/3.73 (( ssPv14_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) |
% 21.58/3.73 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 21.58/3.73 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 21.58/3.73 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 21.58/3.73 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 21.58/3.73 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 21.58/3.73 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 21.58/3.73 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 21.58/3.73 ( ~( ssPv14_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) )),
% 21.58/3.73 inference('cnf.neg', [status(esa)], [clause122])).
% 21.58/3.73 thf(zip_derived_cl422, plain,
% 21.58/3.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 21.58/3.73 X7 : $i, X8 : $i]:
% 21.58/3.73 ( (ssPv14_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 21.58/3.73 X7 @ X8)
% 21.58/3.73 | ~ (ssNder1_0)
% 21.58/3.73 | ~ (ssNder1_1r1 @ X0)
% 21.58/3.73 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 21.58/3.73 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 21.58/3.73 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 21.58/3.73 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 21.58/3.73 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 21.58/3.73 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 21.58/3.73 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 21.58/3.73 X7)
% 21.58/3.73 | ~ (ssPv14_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7))),
% 21.58/3.73 inference('cnf', [status(esa)], [zf_stmt_13])).
% 21.58/3.73 thf(zip_derived_cl543, plain, ( (ssNder1_0)),
% 21.58/3.73 inference('cnf', [status(esa)], [zf_stmt_1])).
% 21.58/3.73 thf(zip_derived_cl549, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 21.58/3.73 inference('demod', [status(thm)], [zip_derived_cl542, zip_derived_cl543])).
% 21.58/3.73 thf(zip_derived_cl550, plain,
% 21.58/3.73 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 21.58/3.73 inference('demod', [status(thm)],
% 21.58/3.73 [zip_derived_cl541, zip_derived_cl543, zip_derived_cl549])).
% 21.58/3.73 thf(zip_derived_cl556, plain,
% 21.58/3.73 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 21.58/3.73 inference('demod', [status(thm)],
% 21.58/3.73 [zip_derived_cl535, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.73 zip_derived_cl550])).
% 21.58/3.73 thf(zip_derived_cl574, plain,
% 21.58/3.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 21.58/3.73 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 21.58/3.73 inference('demod', [status(thm)],
% 21.58/3.73 [zip_derived_cl526, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.73 zip_derived_cl550, zip_derived_cl556])).
% 21.58/3.73 thf(zip_derived_cl595, plain,
% 21.58/3.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 21.58/3.73 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 21.58/3.73 inference('demod', [status(thm)],
% 21.58/3.73 [zip_derived_cl512, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.73 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574])).
% 21.58/3.73 thf(zip_derived_cl619, plain,
% 21.58/3.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 21.58/3.73 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 21.58/3.73 inference('demod', [status(thm)],
% 21.58/3.73 [zip_derived_cl497, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.73 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.73 zip_derived_cl595])).
% 21.58/3.73 thf(zip_derived_cl646, plain,
% 21.58/3.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 21.58/3.73 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 21.58/3.73 inference('demod', [status(thm)],
% 21.58/3.73 [zip_derived_cl480, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.73 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.73 zip_derived_cl595, zip_derived_cl619])).
% 21.58/3.73 thf(clause83, conjecture,
% 21.58/3.73 (~( ( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) |
% 21.58/3.73 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 21.58/3.73 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 21.58/3.73 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 21.58/3.73 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 21.58/3.73 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 21.58/3.73 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 21.58/3.73 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) ))).
% 21.58/3.73 thf(zf_stmt_14, negated_conjecture,
% 21.58/3.73 (( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) |
% 21.58/3.73 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 21.58/3.73 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 21.58/3.73 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 21.58/3.73 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 21.58/3.73 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 21.58/3.73 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) )),
% 21.58/3.73 inference('cnf.neg', [status(esa)], [clause83])).
% 21.58/3.73 thf(zip_derived_cl461, plain,
% 21.58/3.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 21.58/3.73 ( (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)
% 21.58/3.73 | ~ (ssNder1_0)
% 21.58/3.73 | ~ (ssNder1_1r1 @ X0)
% 21.58/3.73 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 21.58/3.73 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 21.58/3.73 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 21.58/3.73 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 21.58/3.73 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 21.58/3.73 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6))),
% 21.58/3.73 inference('cnf', [status(esa)], [zf_stmt_14])).
% 21.58/3.73 thf(zip_derived_cl543, plain, ( (ssNder1_0)),
% 21.58/3.73 inference('cnf', [status(esa)], [zf_stmt_1])).
% 21.58/3.73 thf(zip_derived_cl549, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 21.58/3.73 inference('demod', [status(thm)], [zip_derived_cl542, zip_derived_cl543])).
% 21.58/3.73 thf(zip_derived_cl550, plain,
% 21.58/3.73 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 21.58/3.73 inference('demod', [status(thm)],
% 21.58/3.73 [zip_derived_cl541, zip_derived_cl543, zip_derived_cl549])).
% 21.58/3.73 thf(zip_derived_cl556, plain,
% 21.58/3.73 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 21.58/3.73 inference('demod', [status(thm)],
% 21.58/3.73 [zip_derived_cl535, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.73 zip_derived_cl550])).
% 21.58/3.73 thf(zip_derived_cl574, plain,
% 21.58/3.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 21.58/3.73 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 21.58/3.73 inference('demod', [status(thm)],
% 21.58/3.73 [zip_derived_cl526, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.73 zip_derived_cl550, zip_derived_cl556])).
% 21.58/3.73 thf(zip_derived_cl595, plain,
% 21.58/3.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 21.58/3.73 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 21.58/3.73 inference('demod', [status(thm)],
% 21.58/3.73 [zip_derived_cl512, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.73 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574])).
% 21.58/3.73 thf(zip_derived_cl619, plain,
% 21.58/3.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 21.58/3.73 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 21.58/3.73 inference('demod', [status(thm)],
% 21.58/3.73 [zip_derived_cl497, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.73 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.73 zip_derived_cl595])).
% 21.58/3.73 thf(zip_derived_cl646, plain,
% 21.58/3.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 21.58/3.73 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 21.58/3.73 inference('demod', [status(thm)],
% 21.58/3.73 [zip_derived_cl480, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.73 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.73 zip_derived_cl595, zip_derived_cl619])).
% 21.58/3.73 thf(zip_derived_cl677, plain,
% 21.58/3.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 21.58/3.73 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 21.58/3.73 inference('demod', [status(thm)],
% 21.58/3.73 [zip_derived_cl461, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.73 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.73 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646])).
% 21.58/3.73 thf(zip_derived_cl736, plain,
% 21.58/3.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 21.58/3.73 X7 : $i, X8 : $i]:
% 21.58/3.73 ( (ssPv14_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 21.58/3.73 X7 @ X8)
% 21.58/3.73 | ~ (ssPv14_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7))),
% 21.58/3.73 inference('demod', [status(thm)],
% 21.58/3.73 [zip_derived_cl422, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.73 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.73 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 21.58/3.73 zip_derived_cl677])).
% 21.58/3.73 thf(clause121, conjecture,
% 21.58/3.73 (~( ( ssPv15_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) |
% 21.58/3.73 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 21.58/3.73 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 21.58/3.73 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 21.58/3.73 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 21.58/3.73 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 21.58/3.73 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 21.58/3.73 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 21.58/3.73 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 21.58/3.73 ( ~( ssPv15_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) ))).
% 21.58/3.73 thf(zf_stmt_15, negated_conjecture,
% 21.58/3.73 (( ssPv15_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) |
% 21.58/3.73 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 21.58/3.73 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 21.58/3.73 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 21.58/3.73 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 21.58/3.73 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 21.58/3.73 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 21.58/3.73 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 21.58/3.73 ( ~( ssPv15_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) )),
% 21.58/3.73 inference('cnf.neg', [status(esa)], [clause121])).
% 21.58/3.73 thf(zip_derived_cl423, plain,
% 21.58/3.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 21.58/3.73 X7 : $i, X8 : $i]:
% 21.58/3.73 ( (ssPv15_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 21.58/3.73 X7 @ X8)
% 21.58/3.73 | ~ (ssNder1_0)
% 21.58/3.73 | ~ (ssNder1_1r1 @ X0)
% 21.58/3.73 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 21.58/3.73 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 21.58/3.73 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 21.58/3.73 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 21.58/3.73 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 21.58/3.73 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 21.58/3.73 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 21.58/3.73 X7)
% 21.58/3.73 | ~ (ssPv15_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7))),
% 21.58/3.73 inference('cnf', [status(esa)], [zf_stmt_15])).
% 21.58/3.73 thf(zip_derived_cl543, plain, ( (ssNder1_0)),
% 21.58/3.73 inference('cnf', [status(esa)], [zf_stmt_1])).
% 21.58/3.73 thf(zip_derived_cl549, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 21.58/3.73 inference('demod', [status(thm)], [zip_derived_cl542, zip_derived_cl543])).
% 21.58/3.73 thf(zip_derived_cl550, plain,
% 21.58/3.73 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 21.58/3.73 inference('demod', [status(thm)],
% 21.58/3.73 [zip_derived_cl541, zip_derived_cl543, zip_derived_cl549])).
% 21.58/3.73 thf(zip_derived_cl556, plain,
% 21.58/3.73 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 21.58/3.73 inference('demod', [status(thm)],
% 21.58/3.73 [zip_derived_cl535, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.73 zip_derived_cl550])).
% 21.58/3.73 thf(zip_derived_cl574, plain,
% 21.58/3.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 21.58/3.73 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 21.58/3.73 inference('demod', [status(thm)],
% 21.58/3.73 [zip_derived_cl526, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.73 zip_derived_cl550, zip_derived_cl556])).
% 21.58/3.73 thf(zip_derived_cl595, plain,
% 21.58/3.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 21.58/3.73 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 21.58/3.73 inference('demod', [status(thm)],
% 21.58/3.73 [zip_derived_cl512, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.73 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574])).
% 21.58/3.73 thf(zip_derived_cl619, plain,
% 21.58/3.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 21.58/3.73 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 21.58/3.73 inference('demod', [status(thm)],
% 21.58/3.73 [zip_derived_cl497, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.73 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.73 zip_derived_cl595])).
% 21.58/3.73 thf(zip_derived_cl646, plain,
% 21.58/3.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 21.58/3.73 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 21.58/3.73 inference('demod', [status(thm)],
% 21.58/3.73 [zip_derived_cl480, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.73 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.73 zip_derived_cl595, zip_derived_cl619])).
% 21.58/3.73 thf(zip_derived_cl677, plain,
% 21.58/3.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 21.58/3.73 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 21.58/3.73 inference('demod', [status(thm)],
% 21.58/3.73 [zip_derived_cl461, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.73 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.73 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646])).
% 21.58/3.73 thf(zip_derived_cl751, plain,
% 21.58/3.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 21.58/3.73 X7 : $i, X8 : $i]:
% 21.58/3.73 ( (ssPv15_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 21.58/3.73 X7 @ X8)
% 21.58/3.73 | ~ (ssPv15_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7))),
% 21.58/3.73 inference('demod', [status(thm)],
% 21.58/3.73 [zip_derived_cl423, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.73 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.73 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 21.58/3.73 zip_derived_cl677])).
% 21.58/3.73 thf(clause150, conjecture,
% 21.58/3.73 (~( ( ssPv15_10r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.73 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) |
% 21.58/3.73 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 21.58/3.73 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 21.58/3.73 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 21.58/3.73 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 21.58/3.73 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 21.58/3.73 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 21.58/3.73 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 21.58/3.73 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 21.58/3.73 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 21.58/3.73 ( ~( ssPv15_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) ))).
% 21.58/3.73 thf(zf_stmt_16, negated_conjecture,
% 21.58/3.73 (( ssPv15_10r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.73 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) |
% 21.58/3.73 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 21.58/3.73 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 21.58/3.73 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 21.58/3.73 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 21.58/3.73 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 21.58/3.73 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 21.58/3.73 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 21.58/3.73 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 21.58/3.73 ( ~( ssPv15_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) )),
% 21.58/3.73 inference('cnf.neg', [status(esa)], [clause150])).
% 21.58/3.73 thf(zip_derived_cl394, plain,
% 21.58/3.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 21.58/3.73 X7 : $i, X8 : $i, X9 : $i]:
% 21.58/3.73 ( (ssPv15_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 21.58/3.73 X7 @ X8 @ X9)
% 21.58/3.73 | ~ (ssNder1_0)
% 21.58/3.73 | ~ (ssNder1_1r1 @ X0)
% 21.58/3.73 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 21.58/3.73 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 21.58/3.73 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 21.58/3.73 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 21.58/3.73 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 21.58/3.73 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 21.58/3.73 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 21.58/3.73 X7)
% 21.58/3.73 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 21.58/3.73 X6 @ X7 @ X8)
% 21.58/3.73 | ~ (ssPv15_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 21.58/3.73 X7 @ X8))),
% 21.58/3.73 inference('cnf', [status(esa)], [zf_stmt_16])).
% 21.58/3.73 thf(zip_derived_cl543, plain, ( (ssNder1_0)),
% 21.58/3.73 inference('cnf', [status(esa)], [zf_stmt_1])).
% 21.58/3.73 thf(zip_derived_cl549, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 21.58/3.73 inference('demod', [status(thm)], [zip_derived_cl542, zip_derived_cl543])).
% 21.58/3.73 thf(zip_derived_cl550, plain,
% 21.58/3.73 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 21.58/3.73 inference('demod', [status(thm)],
% 21.58/3.73 [zip_derived_cl541, zip_derived_cl543, zip_derived_cl549])).
% 21.58/3.73 thf(zip_derived_cl556, plain,
% 21.58/3.73 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 21.58/3.73 inference('demod', [status(thm)],
% 21.58/3.73 [zip_derived_cl535, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.73 zip_derived_cl550])).
% 21.58/3.73 thf(zip_derived_cl574, plain,
% 21.58/3.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 21.58/3.73 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 21.58/3.73 inference('demod', [status(thm)],
% 21.58/3.73 [zip_derived_cl526, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.73 zip_derived_cl550, zip_derived_cl556])).
% 21.58/3.73 thf(zip_derived_cl595, plain,
% 21.58/3.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 21.58/3.73 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 21.58/3.73 inference('demod', [status(thm)],
% 21.58/3.73 [zip_derived_cl512, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.73 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574])).
% 21.58/3.73 thf(zip_derived_cl619, plain,
% 21.58/3.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 21.58/3.73 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 21.58/3.73 inference('demod', [status(thm)],
% 21.58/3.73 [zip_derived_cl497, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.73 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.73 zip_derived_cl595])).
% 21.58/3.73 thf(zip_derived_cl646, plain,
% 21.58/3.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 21.58/3.73 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 21.58/3.73 inference('demod', [status(thm)],
% 21.58/3.73 [zip_derived_cl480, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.73 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.73 zip_derived_cl595, zip_derived_cl619])).
% 21.58/3.73 thf(zip_derived_cl677, plain,
% 21.58/3.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 21.58/3.73 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 21.58/3.73 inference('demod', [status(thm)],
% 21.58/3.73 [zip_derived_cl461, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.73 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.73 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646])).
% 21.58/3.73 thf(clause105, conjecture,
% 21.58/3.73 (~( ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) |
% 21.58/3.73 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 21.58/3.73 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 21.58/3.73 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 21.58/3.73 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 21.58/3.73 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 21.58/3.73 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 21.58/3.73 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 21.58/3.73 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) ))).
% 21.58/3.73 thf(zf_stmt_17, negated_conjecture,
% 21.58/3.73 (( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) |
% 21.58/3.73 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 21.58/3.73 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 21.58/3.73 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 21.58/3.73 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 21.58/3.73 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 21.58/3.73 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 21.58/3.73 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) )),
% 21.58/3.73 inference('cnf.neg', [status(esa)], [clause105])).
% 21.58/3.73 thf(zip_derived_cl439, plain,
% 21.58/3.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 21.58/3.73 X7 : $i, X8 : $i]:
% 21.58/3.73 ( (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 21.58/3.73 X7 @ X8)
% 21.58/3.73 | ~ (ssNder1_0)
% 21.58/3.73 | ~ (ssNder1_1r1 @ X0)
% 21.58/3.73 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 21.58/3.73 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 21.58/3.73 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 21.58/3.73 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 21.58/3.73 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 21.58/3.73 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 21.58/3.73 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 21.58/3.73 X7))),
% 21.58/3.73 inference('cnf', [status(esa)], [zf_stmt_17])).
% 21.58/3.73 thf(zip_derived_cl543, plain, ( (ssNder1_0)),
% 21.58/3.73 inference('cnf', [status(esa)], [zf_stmt_1])).
% 21.58/3.73 thf(zip_derived_cl549, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 21.58/3.73 inference('demod', [status(thm)], [zip_derived_cl542, zip_derived_cl543])).
% 21.58/3.73 thf(zip_derived_cl550, plain,
% 21.58/3.73 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 21.58/3.73 inference('demod', [status(thm)],
% 21.58/3.73 [zip_derived_cl541, zip_derived_cl543, zip_derived_cl549])).
% 21.58/3.73 thf(zip_derived_cl556, plain,
% 21.58/3.73 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 21.58/3.73 inference('demod', [status(thm)],
% 21.58/3.73 [zip_derived_cl535, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.73 zip_derived_cl550])).
% 21.58/3.73 thf(zip_derived_cl574, plain,
% 21.58/3.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 21.58/3.73 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 21.58/3.73 inference('demod', [status(thm)],
% 21.58/3.73 [zip_derived_cl526, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.73 zip_derived_cl550, zip_derived_cl556])).
% 21.58/3.73 thf(zip_derived_cl595, plain,
% 21.58/3.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 21.58/3.73 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 21.58/3.73 inference('demod', [status(thm)],
% 21.58/3.73 [zip_derived_cl512, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.73 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574])).
% 21.58/3.73 thf(zip_derived_cl619, plain,
% 21.58/3.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 21.58/3.73 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 21.58/3.73 inference('demod', [status(thm)],
% 21.58/3.73 [zip_derived_cl497, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.73 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.73 zip_derived_cl595])).
% 21.58/3.73 thf(zip_derived_cl646, plain,
% 21.58/3.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 21.58/3.73 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 21.58/3.73 inference('demod', [status(thm)],
% 21.58/3.73 [zip_derived_cl480, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.73 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.73 zip_derived_cl595, zip_derived_cl619])).
% 21.58/3.73 thf(zip_derived_cl677, plain,
% 21.58/3.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 21.58/3.73 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 21.58/3.73 inference('demod', [status(thm)],
% 21.58/3.73 [zip_derived_cl461, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.73 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.73 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646])).
% 21.58/3.73 thf(zip_derived_cl711, plain,
% 21.58/3.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 21.58/3.73 X7 : $i, X8 : $i]:
% 21.58/3.73 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 21.58/3.73 X7 @ X8)),
% 21.58/3.73 inference('demod', [status(thm)],
% 21.58/3.73 [zip_derived_cl439, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.73 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.73 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 21.58/3.73 zip_derived_cl677])).
% 21.58/3.73 thf(zip_derived_cl794, plain,
% 21.58/3.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 21.58/3.73 X7 : $i, X8 : $i, X9 : $i]:
% 21.58/3.73 ( (ssPv15_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 21.58/3.73 X7 @ X8 @ X9)
% 21.58/3.73 | ~ (ssPv15_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 21.58/3.73 X7 @ X8))),
% 21.58/3.73 inference('demod', [status(thm)],
% 21.58/3.73 [zip_derived_cl394, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.73 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.73 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 21.58/3.73 zip_derived_cl677, zip_derived_cl711])).
% 21.58/3.73 thf(clause151, conjecture,
% 21.58/3.73 (~( ( ssPv14_10r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.73 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) |
% 21.58/3.73 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 21.58/3.73 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 21.58/3.73 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 21.58/3.73 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 21.58/3.73 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 21.58/3.73 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 21.58/3.73 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 21.58/3.73 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 21.58/3.73 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 21.58/3.73 ( ~( ssPv14_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) ))).
% 21.58/3.73 thf(zf_stmt_18, negated_conjecture,
% 21.58/3.73 (( ssPv14_10r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.73 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) |
% 21.58/3.73 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 21.58/3.73 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 21.58/3.73 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 21.58/3.73 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 21.58/3.73 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 21.58/3.73 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 21.58/3.73 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 21.58/3.73 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 21.58/3.73 ( ~( ssPv14_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) )),
% 21.58/3.73 inference('cnf.neg', [status(esa)], [clause151])).
% 21.58/3.73 thf(zip_derived_cl393, plain,
% 21.58/3.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 21.58/3.73 X7 : $i, X8 : $i, X9 : $i]:
% 21.58/3.73 ( (ssPv14_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 21.58/3.73 X7 @ X8 @ X9)
% 21.58/3.73 | ~ (ssNder1_0)
% 21.58/3.73 | ~ (ssNder1_1r1 @ X0)
% 21.58/3.73 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 21.58/3.73 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 21.58/3.73 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 21.58/3.73 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 21.58/3.73 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 21.58/3.73 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 21.58/3.73 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 21.58/3.73 X7)
% 21.58/3.73 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 21.58/3.73 X6 @ X7 @ X8)
% 21.58/3.73 | ~ (ssPv14_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 21.58/3.73 X7 @ X8))),
% 21.58/3.73 inference('cnf', [status(esa)], [zf_stmt_18])).
% 21.58/3.73 thf(zip_derived_cl543, plain, ( (ssNder1_0)),
% 21.58/3.73 inference('cnf', [status(esa)], [zf_stmt_1])).
% 21.58/3.73 thf(zip_derived_cl549, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 21.58/3.73 inference('demod', [status(thm)], [zip_derived_cl542, zip_derived_cl543])).
% 21.58/3.73 thf(zip_derived_cl550, plain,
% 21.58/3.73 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 21.58/3.73 inference('demod', [status(thm)],
% 21.58/3.73 [zip_derived_cl541, zip_derived_cl543, zip_derived_cl549])).
% 21.58/3.73 thf(zip_derived_cl556, plain,
% 21.58/3.73 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 21.58/3.73 inference('demod', [status(thm)],
% 21.58/3.73 [zip_derived_cl535, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.73 zip_derived_cl550])).
% 21.58/3.73 thf(zip_derived_cl574, plain,
% 21.58/3.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 21.58/3.73 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 21.58/3.73 inference('demod', [status(thm)],
% 21.58/3.73 [zip_derived_cl526, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.73 zip_derived_cl550, zip_derived_cl556])).
% 21.58/3.73 thf(zip_derived_cl595, plain,
% 21.58/3.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 21.58/3.73 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 21.58/3.73 inference('demod', [status(thm)],
% 21.58/3.73 [zip_derived_cl512, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.73 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574])).
% 21.58/3.73 thf(zip_derived_cl619, plain,
% 21.58/3.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 21.58/3.73 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 21.58/3.73 inference('demod', [status(thm)],
% 21.58/3.73 [zip_derived_cl497, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.73 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.73 zip_derived_cl595])).
% 21.58/3.73 thf(zip_derived_cl646, plain,
% 21.58/3.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 21.58/3.73 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 21.58/3.73 inference('demod', [status(thm)],
% 21.58/3.73 [zip_derived_cl480, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.73 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.73 zip_derived_cl595, zip_derived_cl619])).
% 21.58/3.73 thf(zip_derived_cl677, plain,
% 21.58/3.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 21.58/3.73 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 21.58/3.73 inference('demod', [status(thm)],
% 21.58/3.73 [zip_derived_cl461, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.73 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.73 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646])).
% 21.58/3.73 thf(zip_derived_cl711, plain,
% 21.58/3.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 21.58/3.73 X7 : $i, X8 : $i]:
% 21.58/3.73 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 21.58/3.73 X7 @ X8)),
% 21.58/3.73 inference('demod', [status(thm)],
% 21.58/3.73 [zip_derived_cl439, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.73 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.73 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 21.58/3.73 zip_derived_cl677])).
% 21.58/3.73 thf(zip_derived_cl792, plain,
% 21.58/3.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 21.58/3.73 X7 : $i, X8 : $i, X9 : $i]:
% 21.58/3.73 ( (ssPv14_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 21.58/3.73 X7 @ X8 @ X9)
% 21.58/3.73 | ~ (ssPv14_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 21.58/3.73 X7 @ X8))),
% 21.58/3.73 inference('demod', [status(thm)],
% 21.58/3.73 [zip_derived_cl393, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.73 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.73 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 21.58/3.73 zip_derived_cl677, zip_derived_cl711])).
% 21.58/3.73 thf(clause164, conjecture,
% 21.58/3.73 (~( ( ssPv14_11r1r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.73 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) |
% 21.58/3.73 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 21.58/3.73 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 21.58/3.73 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 21.58/3.73 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 21.58/3.73 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 21.58/3.73 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 21.58/3.73 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 21.58/3.73 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 21.58/3.73 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 21.58/3.73 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.73 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 21.58/3.73 ( ~( ssPv14_10r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.73 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) ))).
% 21.58/3.73 thf(zf_stmt_19, negated_conjecture,
% 21.58/3.73 (( ssPv14_11r1r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.73 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) |
% 21.58/3.73 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 21.58/3.73 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 21.58/3.73 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 21.58/3.73 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 21.58/3.73 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 21.58/3.73 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 21.58/3.73 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 21.58/3.73 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 21.58/3.73 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.73 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 21.58/3.73 ( ~( ssPv14_10r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.73 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) )),
% 21.58/3.73 inference('cnf.neg', [status(esa)], [clause164])).
% 21.58/3.73 thf(zip_derived_cl380, plain,
% 21.58/3.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 21.58/3.73 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 21.58/3.73 ( (ssPv14_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 21.58/3.73 X6 @ X7 @ X8 @ X9 @ X10)
% 21.58/3.73 | ~ (ssNder1_0)
% 21.58/3.73 | ~ (ssNder1_1r1 @ X0)
% 21.58/3.73 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 21.58/3.73 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 21.58/3.73 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 21.58/3.73 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 21.58/3.73 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 21.58/3.73 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 21.58/3.73 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 21.58/3.73 X7)
% 21.58/3.73 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 21.58/3.73 X6 @ X7 @ X8)
% 21.58/3.73 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 21.58/3.73 X6 @ X7 @ X8 @ X9)
% 21.58/3.73 | ~ (ssPv14_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 21.58/3.73 X6 @ X7 @ X8 @ X9))),
% 21.58/3.73 inference('cnf', [status(esa)], [zf_stmt_19])).
% 21.58/3.73 thf(zip_derived_cl543, plain, ( (ssNder1_0)),
% 21.58/3.73 inference('cnf', [status(esa)], [zf_stmt_1])).
% 21.58/3.73 thf(zip_derived_cl549, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 21.58/3.73 inference('demod', [status(thm)], [zip_derived_cl542, zip_derived_cl543])).
% 21.58/3.73 thf(zip_derived_cl550, plain,
% 21.58/3.73 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 21.58/3.73 inference('demod', [status(thm)],
% 21.58/3.73 [zip_derived_cl541, zip_derived_cl543, zip_derived_cl549])).
% 21.58/3.73 thf(zip_derived_cl556, plain,
% 21.58/3.73 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 21.58/3.73 inference('demod', [status(thm)],
% 21.58/3.73 [zip_derived_cl535, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.73 zip_derived_cl550])).
% 21.58/3.73 thf(zip_derived_cl574, plain,
% 21.58/3.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 21.58/3.73 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 21.58/3.73 inference('demod', [status(thm)],
% 21.58/3.73 [zip_derived_cl526, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.73 zip_derived_cl550, zip_derived_cl556])).
% 21.58/3.73 thf(zip_derived_cl595, plain,
% 21.58/3.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 21.58/3.73 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 21.58/3.73 inference('demod', [status(thm)],
% 21.58/3.73 [zip_derived_cl512, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.73 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574])).
% 21.58/3.73 thf(zip_derived_cl619, plain,
% 21.58/3.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 21.58/3.73 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 21.58/3.73 inference('demod', [status(thm)],
% 21.58/3.73 [zip_derived_cl497, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.73 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.73 zip_derived_cl595])).
% 21.58/3.73 thf(zip_derived_cl646, plain,
% 21.58/3.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 21.58/3.73 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 21.58/3.73 inference('demod', [status(thm)],
% 21.58/3.73 [zip_derived_cl480, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.73 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.73 zip_derived_cl595, zip_derived_cl619])).
% 21.58/3.73 thf(zip_derived_cl677, plain,
% 21.58/3.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 21.58/3.73 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 21.58/3.73 inference('demod', [status(thm)],
% 21.58/3.73 [zip_derived_cl461, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.73 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.73 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646])).
% 21.58/3.73 thf(zip_derived_cl711, plain,
% 21.58/3.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 21.58/3.73 X7 : $i, X8 : $i]:
% 21.58/3.73 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 21.58/3.73 X7 @ X8)),
% 21.58/3.73 inference('demod', [status(thm)],
% 21.58/3.73 [zip_derived_cl439, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.73 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.73 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 21.58/3.73 zip_derived_cl677])).
% 21.58/3.73 thf(clause131, conjecture,
% 21.58/3.73 (~( ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.73 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) |
% 21.58/3.73 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 21.58/3.73 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 21.58/3.73 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 21.58/3.73 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 21.58/3.73 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 21.58/3.73 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 21.58/3.73 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 21.58/3.73 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 21.58/3.73 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) ))).
% 21.58/3.73 thf(zf_stmt_20, negated_conjecture,
% 21.58/3.73 (( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.73 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) |
% 21.58/3.73 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 21.58/3.73 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 21.58/3.73 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 21.58/3.73 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 21.58/3.73 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 21.58/3.73 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 21.58/3.73 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 21.58/3.73 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) )),
% 21.58/3.73 inference('cnf.neg', [status(esa)], [clause131])).
% 21.58/3.73 thf(zip_derived_cl413, plain,
% 21.58/3.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 21.58/3.73 X7 : $i, X8 : $i, X9 : $i]:
% 21.58/3.73 ( (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 21.58/3.73 X6 @ X7 @ X8 @ X9)
% 21.58/3.73 | ~ (ssNder1_0)
% 21.58/3.73 | ~ (ssNder1_1r1 @ X0)
% 21.58/3.73 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 21.58/3.73 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 21.58/3.73 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 21.58/3.73 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 21.58/3.73 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 21.58/3.73 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 21.58/3.73 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 21.58/3.73 X7)
% 21.58/3.73 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 21.58/3.73 X6 @ X7 @ X8))),
% 21.58/3.73 inference('cnf', [status(esa)], [zf_stmt_20])).
% 21.58/3.73 thf(zip_derived_cl543, plain, ( (ssNder1_0)),
% 21.58/3.73 inference('cnf', [status(esa)], [zf_stmt_1])).
% 21.58/3.73 thf(zip_derived_cl549, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 21.58/3.73 inference('demod', [status(thm)], [zip_derived_cl542, zip_derived_cl543])).
% 21.58/3.73 thf(zip_derived_cl550, plain,
% 21.58/3.73 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 21.58/3.73 inference('demod', [status(thm)],
% 21.58/3.73 [zip_derived_cl541, zip_derived_cl543, zip_derived_cl549])).
% 21.58/3.73 thf(zip_derived_cl556, plain,
% 21.58/3.73 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 21.58/3.73 inference('demod', [status(thm)],
% 21.58/3.73 [zip_derived_cl535, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.73 zip_derived_cl550])).
% 21.58/3.73 thf(zip_derived_cl574, plain,
% 21.58/3.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 21.58/3.73 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 21.58/3.73 inference('demod', [status(thm)],
% 21.58/3.73 [zip_derived_cl526, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.73 zip_derived_cl550, zip_derived_cl556])).
% 21.58/3.73 thf(zip_derived_cl595, plain,
% 21.58/3.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 21.58/3.73 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 21.58/3.73 inference('demod', [status(thm)],
% 21.58/3.73 [zip_derived_cl512, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.73 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574])).
% 21.58/3.73 thf(zip_derived_cl619, plain,
% 21.58/3.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 21.58/3.73 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 21.58/3.73 inference('demod', [status(thm)],
% 21.58/3.73 [zip_derived_cl497, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.73 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.73 zip_derived_cl595])).
% 21.58/3.73 thf(zip_derived_cl646, plain,
% 21.58/3.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 21.58/3.73 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 21.58/3.73 inference('demod', [status(thm)],
% 21.58/3.73 [zip_derived_cl480, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.73 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.73 zip_derived_cl595, zip_derived_cl619])).
% 21.58/3.73 thf(zip_derived_cl677, plain,
% 21.58/3.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 21.58/3.73 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 21.58/3.73 inference('demod', [status(thm)],
% 21.58/3.73 [zip_derived_cl461, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.73 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.73 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646])).
% 21.58/3.73 thf(zip_derived_cl711, plain,
% 21.58/3.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 21.58/3.73 X7 : $i, X8 : $i]:
% 21.58/3.73 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 21.58/3.73 X7 @ X8)),
% 21.58/3.73 inference('demod', [status(thm)],
% 21.58/3.73 [zip_derived_cl439, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.73 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.73 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 21.58/3.73 zip_derived_cl677])).
% 21.58/3.73 thf(zip_derived_cl763, plain,
% 21.58/3.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 21.58/3.73 X7 : $i, X8 : $i, X9 : $i]:
% 21.58/3.73 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 21.58/3.73 X7 @ X8 @ X9)),
% 21.58/3.73 inference('demod', [status(thm)],
% 21.58/3.73 [zip_derived_cl413, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.73 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.73 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 21.58/3.73 zip_derived_cl677, zip_derived_cl711])).
% 21.58/3.73 thf(zip_derived_cl847, plain,
% 21.58/3.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 21.58/3.73 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 21.58/3.73 ( (ssPv14_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 21.58/3.73 X6 @ X7 @ X8 @ X9 @ X10)
% 21.58/3.73 | ~ (ssPv14_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 21.58/3.73 X6 @ X7 @ X8 @ X9))),
% 21.58/3.73 inference('demod', [status(thm)],
% 21.58/3.73 [zip_derived_cl380, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.73 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.73 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 21.58/3.73 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763])).
% 21.58/3.73 thf(clause163, conjecture,
% 21.58/3.73 (~( ( ssPv15_11r1r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.73 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) |
% 21.58/3.73 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 21.58/3.73 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 21.58/3.73 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 21.58/3.73 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 21.58/3.73 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 21.58/3.73 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 21.58/3.73 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 21.58/3.73 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 21.58/3.73 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 21.58/3.73 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.73 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 21.58/3.73 ( ~( ssPv15_10r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.73 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) ))).
% 21.58/3.73 thf(zf_stmt_21, negated_conjecture,
% 21.58/3.73 (( ssPv15_11r1r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.73 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) |
% 21.58/3.73 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 21.58/3.73 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 21.58/3.73 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 21.58/3.73 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 21.58/3.73 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 21.58/3.73 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 21.58/3.73 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 21.58/3.73 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 21.58/3.73 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.73 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 21.58/3.73 ( ~( ssPv15_10r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.73 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) )),
% 21.58/3.73 inference('cnf.neg', [status(esa)], [clause163])).
% 21.58/3.73 thf(zip_derived_cl381, plain,
% 21.58/3.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 21.58/3.73 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 21.58/3.73 ( (ssPv15_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 21.58/3.73 X6 @ X7 @ X8 @ X9 @ X10)
% 21.58/3.73 | ~ (ssNder1_0)
% 21.58/3.73 | ~ (ssNder1_1r1 @ X0)
% 21.58/3.73 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 21.58/3.73 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 21.58/3.73 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 21.58/3.73 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 21.58/3.73 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 21.58/3.73 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 21.58/3.73 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 21.58/3.73 X7)
% 21.58/3.73 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 21.58/3.73 X6 @ X7 @ X8)
% 21.58/3.73 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 21.58/3.73 X6 @ X7 @ X8 @ X9)
% 21.58/3.73 | ~ (ssPv15_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 21.58/3.73 X6 @ X7 @ X8 @ X9))),
% 21.58/3.73 inference('cnf', [status(esa)], [zf_stmt_21])).
% 21.58/3.73 thf(zip_derived_cl543, plain, ( (ssNder1_0)),
% 21.58/3.73 inference('cnf', [status(esa)], [zf_stmt_1])).
% 21.58/3.73 thf(zip_derived_cl549, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 21.58/3.73 inference('demod', [status(thm)], [zip_derived_cl542, zip_derived_cl543])).
% 21.58/3.73 thf(zip_derived_cl550, plain,
% 21.58/3.73 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 21.58/3.73 inference('demod', [status(thm)],
% 21.58/3.73 [zip_derived_cl541, zip_derived_cl543, zip_derived_cl549])).
% 21.58/3.73 thf(zip_derived_cl556, plain,
% 21.58/3.73 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 21.58/3.73 inference('demod', [status(thm)],
% 21.58/3.73 [zip_derived_cl535, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.73 zip_derived_cl550])).
% 21.58/3.73 thf(zip_derived_cl574, plain,
% 21.58/3.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 21.58/3.73 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 21.58/3.73 inference('demod', [status(thm)],
% 21.58/3.73 [zip_derived_cl526, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.73 zip_derived_cl550, zip_derived_cl556])).
% 21.58/3.73 thf(zip_derived_cl595, plain,
% 21.58/3.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 21.58/3.73 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 21.58/3.73 inference('demod', [status(thm)],
% 21.58/3.73 [zip_derived_cl512, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.73 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574])).
% 21.58/3.73 thf(zip_derived_cl619, plain,
% 21.58/3.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 21.58/3.73 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 21.58/3.73 inference('demod', [status(thm)],
% 21.58/3.73 [zip_derived_cl497, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.73 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.73 zip_derived_cl595])).
% 21.58/3.73 thf(zip_derived_cl646, plain,
% 21.58/3.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 21.58/3.73 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 21.58/3.73 inference('demod', [status(thm)],
% 21.58/3.73 [zip_derived_cl480, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.73 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.73 zip_derived_cl595, zip_derived_cl619])).
% 21.58/3.73 thf(zip_derived_cl677, plain,
% 21.58/3.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 21.58/3.73 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 21.58/3.73 inference('demod', [status(thm)],
% 21.58/3.73 [zip_derived_cl461, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.73 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.73 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646])).
% 21.58/3.73 thf(zip_derived_cl711, plain,
% 21.58/3.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 21.58/3.73 X7 : $i, X8 : $i]:
% 21.58/3.73 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 21.58/3.73 X7 @ X8)),
% 21.58/3.73 inference('demod', [status(thm)],
% 21.58/3.73 [zip_derived_cl439, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.73 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.73 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 21.58/3.73 zip_derived_cl677])).
% 21.58/3.73 thf(zip_derived_cl763, plain,
% 21.58/3.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 21.58/3.73 X7 : $i, X8 : $i, X9 : $i]:
% 21.58/3.73 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 21.58/3.73 X7 @ X8 @ X9)),
% 21.58/3.73 inference('demod', [status(thm)],
% 21.58/3.73 [zip_derived_cl413, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.73 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.73 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 21.58/3.73 zip_derived_cl677, zip_derived_cl711])).
% 21.58/3.73 thf(zip_derived_cl849, plain,
% 21.58/3.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 21.58/3.73 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 21.58/3.73 ( (ssPv15_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 21.58/3.73 X6 @ X7 @ X8 @ X9 @ X10)
% 21.58/3.73 | ~ (ssPv15_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 21.58/3.73 X6 @ X7 @ X8 @ X9))),
% 21.58/3.73 inference('demod', [status(thm)],
% 21.58/3.73 [zip_derived_cl381, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.73 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.73 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 21.58/3.73 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763])).
% 21.58/3.73 thf(clause201, conjecture,
% 21.58/3.73 (~( ( ssPv15_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.73 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) |
% 21.58/3.73 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 21.58/3.73 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 21.58/3.73 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 21.58/3.73 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 21.58/3.73 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 21.58/3.73 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 21.58/3.73 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 21.58/3.73 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 21.58/3.73 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 21.58/3.73 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.73 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 21.58/3.73 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.73 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 21.58/3.73 ( ~( ssPv15_11r1r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.73 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) ))).
% 21.58/3.73 thf(zf_stmt_22, negated_conjecture,
% 21.58/3.73 (( ssPv15_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.73 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) |
% 21.58/3.73 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 21.58/3.73 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 21.58/3.73 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 21.58/3.73 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 21.58/3.73 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 21.58/3.73 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 21.58/3.73 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 21.58/3.73 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 21.58/3.73 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.73 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 21.58/3.73 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.73 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 21.58/3.73 ( ~( ssPv15_11r1r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.73 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) )),
% 21.58/3.73 inference('cnf.neg', [status(esa)], [clause201])).
% 21.58/3.73 thf(zip_derived_cl343, plain,
% 21.58/3.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 21.58/3.73 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 21.58/3.73 ( (ssPv15_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 21.58/3.73 X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 21.58/3.73 | ~ (ssNder1_0)
% 21.58/3.73 | ~ (ssNder1_1r1 @ X0)
% 21.58/3.73 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 21.58/3.73 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 21.58/3.73 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 21.58/3.73 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 21.58/3.73 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 21.58/3.73 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 21.58/3.73 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 21.58/3.73 X7)
% 21.58/3.73 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 21.58/3.73 X6 @ X7 @ X8)
% 21.58/3.73 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 21.58/3.73 X6 @ X7 @ X8 @ X9)
% 21.58/3.73 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 21.58/3.73 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 21.58/3.73 | ~ (ssPv15_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 21.58/3.73 X6 @ X7 @ X8 @ X9 @ X10))),
% 21.58/3.73 inference('cnf', [status(esa)], [zf_stmt_22])).
% 21.58/3.73 thf(zip_derived_cl543, plain, ( (ssNder1_0)),
% 21.58/3.73 inference('cnf', [status(esa)], [zf_stmt_1])).
% 21.58/3.73 thf(zip_derived_cl549, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 21.58/3.73 inference('demod', [status(thm)], [zip_derived_cl542, zip_derived_cl543])).
% 21.58/3.73 thf(zip_derived_cl550, plain,
% 21.58/3.73 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 21.58/3.73 inference('demod', [status(thm)],
% 21.58/3.73 [zip_derived_cl541, zip_derived_cl543, zip_derived_cl549])).
% 21.58/3.73 thf(zip_derived_cl556, plain,
% 21.58/3.73 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 21.58/3.73 inference('demod', [status(thm)],
% 21.58/3.73 [zip_derived_cl535, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.73 zip_derived_cl550])).
% 21.58/3.73 thf(zip_derived_cl574, plain,
% 21.58/3.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 21.58/3.73 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 21.58/3.73 inference('demod', [status(thm)],
% 21.58/3.73 [zip_derived_cl526, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.73 zip_derived_cl550, zip_derived_cl556])).
% 21.58/3.73 thf(zip_derived_cl595, plain,
% 21.58/3.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 21.58/3.73 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 21.58/3.73 inference('demod', [status(thm)],
% 21.58/3.73 [zip_derived_cl512, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.73 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574])).
% 21.58/3.73 thf(zip_derived_cl619, plain,
% 21.58/3.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 21.58/3.73 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 21.58/3.73 inference('demod', [status(thm)],
% 21.58/3.73 [zip_derived_cl497, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.73 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.73 zip_derived_cl595])).
% 21.58/3.73 thf(zip_derived_cl646, plain,
% 21.58/3.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 21.58/3.73 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 21.58/3.73 inference('demod', [status(thm)],
% 21.58/3.73 [zip_derived_cl480, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.73 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.73 zip_derived_cl595, zip_derived_cl619])).
% 21.58/3.73 thf(zip_derived_cl677, plain,
% 21.58/3.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 21.58/3.73 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 21.58/3.73 inference('demod', [status(thm)],
% 21.58/3.73 [zip_derived_cl461, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.73 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.73 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646])).
% 21.58/3.73 thf(zip_derived_cl711, plain,
% 21.58/3.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 21.58/3.73 X7 : $i, X8 : $i]:
% 21.58/3.73 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 21.58/3.73 X7 @ X8)),
% 21.58/3.73 inference('demod', [status(thm)],
% 21.58/3.73 [zip_derived_cl439, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.73 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.73 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 21.58/3.73 zip_derived_cl677])).
% 21.58/3.73 thf(zip_derived_cl763, plain,
% 21.58/3.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 21.58/3.73 X7 : $i, X8 : $i, X9 : $i]:
% 21.58/3.73 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 21.58/3.73 X7 @ X8 @ X9)),
% 21.58/3.73 inference('demod', [status(thm)],
% 21.58/3.73 [zip_derived_cl413, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.73 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.73 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 21.58/3.73 zip_derived_cl677, zip_derived_cl711])).
% 21.58/3.73 thf(clause154, conjecture,
% 21.58/3.73 (~( ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.73 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) |
% 21.58/3.73 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 21.58/3.73 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 21.58/3.73 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 21.58/3.73 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 21.58/3.73 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 21.58/3.73 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 21.58/3.73 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 21.58/3.73 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 21.58/3.73 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 21.58/3.73 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.73 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) ))).
% 21.58/3.73 thf(zf_stmt_23, negated_conjecture,
% 21.58/3.73 (( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.73 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) |
% 21.58/3.73 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 21.58/3.73 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 21.58/3.73 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 21.58/3.73 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 21.58/3.73 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 21.58/3.73 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 21.58/3.73 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 21.58/3.73 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 21.58/3.73 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.73 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) )),
% 21.58/3.73 inference('cnf.neg', [status(esa)], [clause154])).
% 21.58/3.73 thf(zip_derived_cl390, plain,
% 21.58/3.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 21.58/3.73 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 21.58/3.73 ( (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 21.58/3.73 X6 @ X7 @ X8 @ X9 @ X10)
% 21.58/3.73 | ~ (ssNder1_0)
% 21.58/3.73 | ~ (ssNder1_1r1 @ X0)
% 21.58/3.73 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 21.58/3.73 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 21.58/3.73 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 21.58/3.73 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 21.58/3.73 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 21.58/3.73 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 21.58/3.73 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 21.58/3.73 X7)
% 21.58/3.73 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 21.58/3.73 X6 @ X7 @ X8)
% 21.58/3.73 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 21.58/3.73 X6 @ X7 @ X8 @ X9))),
% 21.58/3.73 inference('cnf', [status(esa)], [zf_stmt_23])).
% 21.58/3.73 thf(zip_derived_cl543, plain, ( (ssNder1_0)),
% 21.58/3.73 inference('cnf', [status(esa)], [zf_stmt_1])).
% 21.58/3.73 thf(zip_derived_cl549, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 21.58/3.73 inference('demod', [status(thm)], [zip_derived_cl542, zip_derived_cl543])).
% 21.58/3.73 thf(zip_derived_cl550, plain,
% 21.58/3.73 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 21.58/3.73 inference('demod', [status(thm)],
% 21.58/3.73 [zip_derived_cl541, zip_derived_cl543, zip_derived_cl549])).
% 21.58/3.73 thf(zip_derived_cl556, plain,
% 21.58/3.73 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 21.58/3.73 inference('demod', [status(thm)],
% 21.58/3.73 [zip_derived_cl535, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.73 zip_derived_cl550])).
% 21.58/3.73 thf(zip_derived_cl574, plain,
% 21.58/3.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 21.58/3.73 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 21.58/3.73 inference('demod', [status(thm)],
% 21.58/3.73 [zip_derived_cl526, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.73 zip_derived_cl550, zip_derived_cl556])).
% 21.58/3.73 thf(zip_derived_cl595, plain,
% 21.58/3.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 21.58/3.73 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 21.58/3.73 inference('demod', [status(thm)],
% 21.58/3.73 [zip_derived_cl512, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.73 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574])).
% 21.58/3.73 thf(zip_derived_cl619, plain,
% 21.58/3.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 21.58/3.73 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 21.58/3.73 inference('demod', [status(thm)],
% 21.58/3.73 [zip_derived_cl497, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.73 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.73 zip_derived_cl595])).
% 21.58/3.73 thf(zip_derived_cl646, plain,
% 21.58/3.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 21.58/3.73 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 21.58/3.73 inference('demod', [status(thm)],
% 21.58/3.73 [zip_derived_cl480, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.73 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.73 zip_derived_cl595, zip_derived_cl619])).
% 21.58/3.73 thf(zip_derived_cl677, plain,
% 21.58/3.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 21.58/3.73 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 21.58/3.73 inference('demod', [status(thm)],
% 21.58/3.73 [zip_derived_cl461, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.73 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.73 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646])).
% 21.58/3.73 thf(zip_derived_cl711, plain,
% 21.58/3.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 21.58/3.73 X7 : $i, X8 : $i]:
% 21.58/3.73 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 21.58/3.73 X7 @ X8)),
% 21.58/3.73 inference('demod', [status(thm)],
% 21.58/3.73 [zip_derived_cl439, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.74 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 21.58/3.74 zip_derived_cl677])).
% 21.58/3.74 thf(zip_derived_cl763, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 21.58/3.74 X7 : $i, X8 : $i, X9 : $i]:
% 21.58/3.74 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 21.58/3.74 X7 @ X8 @ X9)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl413, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.74 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 21.58/3.74 zip_derived_cl677, zip_derived_cl711])).
% 21.58/3.74 thf(zip_derived_cl807, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 21.58/3.74 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 21.58/3.74 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 21.58/3.74 X6 @ X7 @ X8 @ X9 @ X10)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl390, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.74 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 21.58/3.74 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763])).
% 21.58/3.74 thf(zip_derived_cl894, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 21.58/3.74 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 21.58/3.74 ( (ssPv15_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 21.58/3.74 X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 21.58/3.74 | ~ (ssPv15_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 21.58/3.74 X6 @ X7 @ X8 @ X9 @ X10))),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl343, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.74 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 21.58/3.74 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763,
% 21.58/3.74 zip_derived_cl807])).
% 21.58/3.74 thf(clause202, conjecture,
% 21.58/3.74 (~( ( ssPv14_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) |
% 21.58/3.74 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 21.58/3.74 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 21.58/3.74 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 21.58/3.74 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 21.58/3.74 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 21.58/3.74 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 21.58/3.74 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 21.58/3.74 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 21.58/3.74 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 21.58/3.74 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 21.58/3.74 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 21.58/3.74 ( ~( ssPv14_11r1r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) ))).
% 21.58/3.74 thf(zf_stmt_24, negated_conjecture,
% 21.58/3.74 (( ssPv14_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) |
% 21.58/3.74 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 21.58/3.74 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 21.58/3.74 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 21.58/3.74 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 21.58/3.74 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 21.58/3.74 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 21.58/3.74 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 21.58/3.74 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 21.58/3.74 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 21.58/3.74 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 21.58/3.74 ( ~( ssPv14_11r1r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) )),
% 21.58/3.74 inference('cnf.neg', [status(esa)], [clause202])).
% 21.58/3.74 thf(zip_derived_cl342, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 21.58/3.74 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 21.58/3.74 ( (ssPv14_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 21.58/3.74 X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 21.58/3.74 | ~ (ssNder1_0)
% 21.58/3.74 | ~ (ssNder1_1r1 @ X0)
% 21.58/3.74 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 21.58/3.74 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 21.58/3.74 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 21.58/3.74 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 21.58/3.74 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 21.58/3.74 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 21.58/3.74 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 21.58/3.74 X7)
% 21.58/3.74 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 21.58/3.74 X6 @ X7 @ X8)
% 21.58/3.74 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 21.58/3.74 X6 @ X7 @ X8 @ X9)
% 21.58/3.74 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 21.58/3.74 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 21.58/3.74 | ~ (ssPv14_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 21.58/3.74 X6 @ X7 @ X8 @ X9 @ X10))),
% 21.58/3.74 inference('cnf', [status(esa)], [zf_stmt_24])).
% 21.58/3.74 thf(zip_derived_cl543, plain, ( (ssNder1_0)),
% 21.58/3.74 inference('cnf', [status(esa)], [zf_stmt_1])).
% 21.58/3.74 thf(zip_derived_cl549, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 21.58/3.74 inference('demod', [status(thm)], [zip_derived_cl542, zip_derived_cl543])).
% 21.58/3.74 thf(zip_derived_cl550, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl541, zip_derived_cl543, zip_derived_cl549])).
% 21.58/3.74 thf(zip_derived_cl556, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl535, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550])).
% 21.58/3.74 thf(zip_derived_cl574, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 21.58/3.74 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl526, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556])).
% 21.58/3.74 thf(zip_derived_cl595, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 21.58/3.74 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl512, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574])).
% 21.58/3.74 thf(zip_derived_cl619, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 21.58/3.74 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl497, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.74 zip_derived_cl595])).
% 21.58/3.74 thf(zip_derived_cl646, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 21.58/3.74 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl480, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.74 zip_derived_cl595, zip_derived_cl619])).
% 21.58/3.74 thf(zip_derived_cl677, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 21.58/3.74 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl461, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.74 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646])).
% 21.58/3.74 thf(zip_derived_cl711, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 21.58/3.74 X7 : $i, X8 : $i]:
% 21.58/3.74 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 21.58/3.74 X7 @ X8)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl439, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.74 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 21.58/3.74 zip_derived_cl677])).
% 21.58/3.74 thf(zip_derived_cl763, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 21.58/3.74 X7 : $i, X8 : $i, X9 : $i]:
% 21.58/3.74 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 21.58/3.74 X7 @ X8 @ X9)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl413, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.74 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 21.58/3.74 zip_derived_cl677, zip_derived_cl711])).
% 21.58/3.74 thf(zip_derived_cl807, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 21.58/3.74 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 21.58/3.74 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 21.58/3.74 X6 @ X7 @ X8 @ X9 @ X10)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl390, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.74 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 21.58/3.74 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763])).
% 21.58/3.74 thf(zip_derived_cl892, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 21.58/3.74 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 21.58/3.74 ( (ssPv14_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 21.58/3.74 X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 21.58/3.74 | ~ (ssPv14_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 21.58/3.74 X6 @ X7 @ X8 @ X9 @ X10))),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl342, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.74 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 21.58/3.74 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763,
% 21.58/3.74 zip_derived_cl807])).
% 21.58/3.74 thf(clause220, conjecture,
% 21.58/3.74 (~( ( ssPv14_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) |
% 21.58/3.74 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 21.58/3.74 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 21.58/3.74 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 21.58/3.74 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 21.58/3.74 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 21.58/3.74 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 21.58/3.74 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 21.58/3.74 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 21.58/3.74 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 21.58/3.74 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 21.58/3.74 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 21.58/3.74 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 21.58/3.74 ( ~( ssPv14_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) ))).
% 21.58/3.74 thf(zf_stmt_25, negated_conjecture,
% 21.58/3.74 (( ssPv14_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) |
% 21.58/3.74 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 21.58/3.74 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 21.58/3.74 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 21.58/3.74 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 21.58/3.74 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 21.58/3.74 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 21.58/3.74 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 21.58/3.74 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 21.58/3.74 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 21.58/3.74 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 21.58/3.74 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 21.58/3.74 ( ~( ssPv14_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) )),
% 21.58/3.74 inference('cnf.neg', [status(esa)], [clause220])).
% 21.58/3.74 thf(zip_derived_cl324, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 21.58/3.74 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 21.58/3.74 ( (ssPv14_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 21.58/3.74 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 21.58/3.74 | ~ (ssNder1_0)
% 21.58/3.74 | ~ (ssNder1_1r1 @ X0)
% 21.58/3.74 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 21.58/3.74 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 21.58/3.74 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 21.58/3.74 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 21.58/3.74 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 21.58/3.74 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 21.58/3.74 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 21.58/3.74 X7)
% 21.58/3.74 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 21.58/3.74 X6 @ X7 @ X8)
% 21.58/3.74 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 21.58/3.74 X6 @ X7 @ X8 @ X9)
% 21.58/3.74 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 21.58/3.74 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 21.58/3.74 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 21.58/3.74 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 21.58/3.74 | ~ (ssPv14_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 21.58/3.74 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11))),
% 21.58/3.74 inference('cnf', [status(esa)], [zf_stmt_25])).
% 21.58/3.74 thf(zip_derived_cl543, plain, ( (ssNder1_0)),
% 21.58/3.74 inference('cnf', [status(esa)], [zf_stmt_1])).
% 21.58/3.74 thf(zip_derived_cl549, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 21.58/3.74 inference('demod', [status(thm)], [zip_derived_cl542, zip_derived_cl543])).
% 21.58/3.74 thf(zip_derived_cl550, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl541, zip_derived_cl543, zip_derived_cl549])).
% 21.58/3.74 thf(zip_derived_cl556, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl535, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550])).
% 21.58/3.74 thf(zip_derived_cl574, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 21.58/3.74 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl526, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556])).
% 21.58/3.74 thf(zip_derived_cl595, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 21.58/3.74 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl512, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574])).
% 21.58/3.74 thf(zip_derived_cl619, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 21.58/3.74 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl497, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.74 zip_derived_cl595])).
% 21.58/3.74 thf(zip_derived_cl646, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 21.58/3.74 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl480, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.74 zip_derived_cl595, zip_derived_cl619])).
% 21.58/3.74 thf(zip_derived_cl677, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 21.58/3.74 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl461, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.74 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646])).
% 21.58/3.74 thf(zip_derived_cl711, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 21.58/3.74 X7 : $i, X8 : $i]:
% 21.58/3.74 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 21.58/3.74 X7 @ X8)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl439, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.74 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 21.58/3.74 zip_derived_cl677])).
% 21.58/3.74 thf(zip_derived_cl763, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 21.58/3.74 X7 : $i, X8 : $i, X9 : $i]:
% 21.58/3.74 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 21.58/3.74 X7 @ X8 @ X9)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl413, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.74 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 21.58/3.74 zip_derived_cl677, zip_derived_cl711])).
% 21.58/3.74 thf(zip_derived_cl807, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 21.58/3.74 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 21.58/3.74 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 21.58/3.74 X6 @ X7 @ X8 @ X9 @ X10)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl390, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.74 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 21.58/3.74 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763])).
% 21.58/3.74 thf(clause181, conjecture,
% 21.58/3.74 (~( ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) |
% 21.58/3.74 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 21.58/3.74 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 21.58/3.74 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 21.58/3.74 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 21.58/3.74 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 21.58/3.74 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 21.58/3.74 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 21.58/3.74 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 21.58/3.74 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 21.58/3.74 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 21.58/3.74 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) ))).
% 21.58/3.74 thf(zf_stmt_26, negated_conjecture,
% 21.58/3.74 (( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) |
% 21.58/3.74 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 21.58/3.74 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 21.58/3.74 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 21.58/3.74 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 21.58/3.74 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 21.58/3.74 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 21.58/3.74 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 21.58/3.74 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 21.58/3.74 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 21.58/3.74 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) )),
% 21.58/3.74 inference('cnf.neg', [status(esa)], [clause181])).
% 21.58/3.74 thf(zip_derived_cl363, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 21.58/3.74 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 21.58/3.74 ( (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 21.58/3.74 X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 21.58/3.74 | ~ (ssNder1_0)
% 21.58/3.74 | ~ (ssNder1_1r1 @ X0)
% 21.58/3.74 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 21.58/3.74 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 21.58/3.74 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 21.58/3.74 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 21.58/3.74 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 21.58/3.74 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 21.58/3.74 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 21.58/3.74 X7)
% 21.58/3.74 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 21.58/3.74 X6 @ X7 @ X8)
% 21.58/3.74 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 21.58/3.74 X6 @ X7 @ X8 @ X9)
% 21.58/3.74 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 21.58/3.74 X5 @ X6 @ X7 @ X8 @ X9 @ X10))),
% 21.58/3.74 inference('cnf', [status(esa)], [zf_stmt_26])).
% 21.58/3.74 thf(zip_derived_cl543, plain, ( (ssNder1_0)),
% 21.58/3.74 inference('cnf', [status(esa)], [zf_stmt_1])).
% 21.58/3.74 thf(zip_derived_cl549, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 21.58/3.74 inference('demod', [status(thm)], [zip_derived_cl542, zip_derived_cl543])).
% 21.58/3.74 thf(zip_derived_cl550, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl541, zip_derived_cl543, zip_derived_cl549])).
% 21.58/3.74 thf(zip_derived_cl556, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl535, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550])).
% 21.58/3.74 thf(zip_derived_cl574, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 21.58/3.74 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl526, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556])).
% 21.58/3.74 thf(zip_derived_cl595, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 21.58/3.74 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl512, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574])).
% 21.58/3.74 thf(zip_derived_cl619, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 21.58/3.74 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl497, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.74 zip_derived_cl595])).
% 21.58/3.74 thf(zip_derived_cl646, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 21.58/3.74 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl480, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.74 zip_derived_cl595, zip_derived_cl619])).
% 21.58/3.74 thf(zip_derived_cl677, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 21.58/3.74 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl461, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.74 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646])).
% 21.58/3.74 thf(zip_derived_cl711, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 21.58/3.74 X7 : $i, X8 : $i]:
% 21.58/3.74 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 21.58/3.74 X7 @ X8)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl439, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.74 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 21.58/3.74 zip_derived_cl677])).
% 21.58/3.74 thf(zip_derived_cl763, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 21.58/3.74 X7 : $i, X8 : $i, X9 : $i]:
% 21.58/3.74 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 21.58/3.74 X7 @ X8 @ X9)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl413, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.74 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 21.58/3.74 zip_derived_cl677, zip_derived_cl711])).
% 21.58/3.74 thf(zip_derived_cl807, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 21.58/3.74 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 21.58/3.74 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 21.58/3.74 X6 @ X7 @ X8 @ X9 @ X10)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl390, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.74 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 21.58/3.74 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763])).
% 21.58/3.74 thf(zip_derived_cl857, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 21.58/3.74 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 21.58/3.74 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 21.58/3.74 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl363, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.74 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 21.58/3.74 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763,
% 21.58/3.74 zip_derived_cl807])).
% 21.58/3.74 thf(zip_derived_cl962, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 21.58/3.74 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 21.58/3.74 ( (ssPv14_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 21.58/3.74 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 21.58/3.74 | ~ (ssPv14_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 21.58/3.74 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11))),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl324, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.74 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 21.58/3.74 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763,
% 21.58/3.74 zip_derived_cl807, zip_derived_cl857])).
% 21.58/3.74 thf(clause219, conjecture,
% 21.58/3.74 (~( ( ssPv15_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) |
% 21.58/3.74 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 21.58/3.74 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 21.58/3.74 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 21.58/3.74 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 21.58/3.74 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 21.58/3.74 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 21.58/3.74 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 21.58/3.74 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 21.58/3.74 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 21.58/3.74 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 21.58/3.74 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 21.58/3.74 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 21.58/3.74 ( ~( ssPv15_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) ))).
% 21.58/3.74 thf(zf_stmt_27, negated_conjecture,
% 21.58/3.74 (( ssPv15_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) |
% 21.58/3.74 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 21.58/3.74 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 21.58/3.74 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 21.58/3.74 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 21.58/3.74 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 21.58/3.74 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 21.58/3.74 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 21.58/3.74 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 21.58/3.74 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 21.58/3.74 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 21.58/3.74 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 21.58/3.74 ( ~( ssPv15_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) )),
% 21.58/3.74 inference('cnf.neg', [status(esa)], [clause219])).
% 21.58/3.74 thf(zip_derived_cl325, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 21.58/3.74 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 21.58/3.74 ( (ssPv15_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 21.58/3.74 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 21.58/3.74 | ~ (ssNder1_0)
% 21.58/3.74 | ~ (ssNder1_1r1 @ X0)
% 21.58/3.74 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 21.58/3.74 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 21.58/3.74 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 21.58/3.74 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 21.58/3.74 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 21.58/3.74 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 21.58/3.74 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 21.58/3.74 X7)
% 21.58/3.74 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 21.58/3.74 X6 @ X7 @ X8)
% 21.58/3.74 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 21.58/3.74 X6 @ X7 @ X8 @ X9)
% 21.58/3.74 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 21.58/3.74 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 21.58/3.74 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 21.58/3.74 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 21.58/3.74 | ~ (ssPv15_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 21.58/3.74 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11))),
% 21.58/3.74 inference('cnf', [status(esa)], [zf_stmt_27])).
% 21.58/3.74 thf(zip_derived_cl543, plain, ( (ssNder1_0)),
% 21.58/3.74 inference('cnf', [status(esa)], [zf_stmt_1])).
% 21.58/3.74 thf(zip_derived_cl549, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 21.58/3.74 inference('demod', [status(thm)], [zip_derived_cl542, zip_derived_cl543])).
% 21.58/3.74 thf(zip_derived_cl550, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl541, zip_derived_cl543, zip_derived_cl549])).
% 21.58/3.74 thf(zip_derived_cl556, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl535, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550])).
% 21.58/3.74 thf(zip_derived_cl574, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 21.58/3.74 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl526, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556])).
% 21.58/3.74 thf(zip_derived_cl595, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 21.58/3.74 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl512, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574])).
% 21.58/3.74 thf(zip_derived_cl619, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 21.58/3.74 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl497, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.74 zip_derived_cl595])).
% 21.58/3.74 thf(zip_derived_cl646, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 21.58/3.74 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl480, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.74 zip_derived_cl595, zip_derived_cl619])).
% 21.58/3.74 thf(zip_derived_cl677, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 21.58/3.74 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl461, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.74 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646])).
% 21.58/3.74 thf(zip_derived_cl711, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 21.58/3.74 X7 : $i, X8 : $i]:
% 21.58/3.74 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 21.58/3.74 X7 @ X8)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl439, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.74 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 21.58/3.74 zip_derived_cl677])).
% 21.58/3.74 thf(zip_derived_cl763, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 21.58/3.74 X7 : $i, X8 : $i, X9 : $i]:
% 21.58/3.74 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 21.58/3.74 X7 @ X8 @ X9)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl413, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.74 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 21.58/3.74 zip_derived_cl677, zip_derived_cl711])).
% 21.58/3.74 thf(zip_derived_cl807, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 21.58/3.74 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 21.58/3.74 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 21.58/3.74 X6 @ X7 @ X8 @ X9 @ X10)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl390, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.74 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 21.58/3.74 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763])).
% 21.58/3.74 thf(zip_derived_cl857, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 21.58/3.74 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 21.58/3.74 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 21.58/3.74 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl363, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.74 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 21.58/3.74 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763,
% 21.58/3.74 zip_derived_cl807])).
% 21.58/3.74 thf(zip_derived_cl967, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 21.58/3.74 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 21.58/3.74 ( (ssPv15_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 21.58/3.74 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 21.58/3.74 | ~ (ssPv15_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 21.58/3.74 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11))),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl325, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.74 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 21.58/3.74 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763,
% 21.58/3.74 zip_derived_cl807, zip_derived_cl857])).
% 21.58/3.74 thf(clause263, conjecture,
% 21.58/3.74 (~( ( ssPv15_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) |
% 21.58/3.74 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 21.58/3.74 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 21.58/3.74 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 21.58/3.74 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 21.58/3.74 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 21.58/3.74 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 21.58/3.74 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 21.58/3.74 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 21.58/3.74 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 21.58/3.74 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 21.58/3.74 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 21.58/3.74 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 21.58/3.74 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 21.58/3.74 ( ~( ssPv15_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) ))).
% 21.58/3.74 thf(zf_stmt_28, negated_conjecture,
% 21.58/3.74 (( ssPv15_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) |
% 21.58/3.74 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 21.58/3.74 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 21.58/3.74 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 21.58/3.74 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 21.58/3.74 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 21.58/3.74 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 21.58/3.74 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 21.58/3.74 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 21.58/3.74 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 21.58/3.74 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 21.58/3.74 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 21.58/3.74 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 21.58/3.74 ( ~( ssPv15_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) )),
% 21.58/3.74 inference('cnf.neg', [status(esa)], [clause263])).
% 21.58/3.74 thf(zip_derived_cl281, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 21.58/3.74 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 21.58/3.74 ( (ssPv15_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 21.58/3.74 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 21.58/3.74 | ~ (ssNder1_0)
% 21.58/3.74 | ~ (ssNder1_1r1 @ X0)
% 21.58/3.74 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 21.58/3.74 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 21.58/3.74 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 21.58/3.74 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 21.58/3.74 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 21.58/3.74 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 21.58/3.74 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 21.58/3.74 X7)
% 21.58/3.74 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 21.58/3.74 X6 @ X7 @ X8)
% 21.58/3.74 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 21.58/3.74 X6 @ X7 @ X8 @ X9)
% 21.58/3.74 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 21.58/3.74 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 21.58/3.74 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 21.58/3.74 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 21.58/3.74 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 21.58/3.74 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 21.58/3.74 | ~ (ssPv15_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 21.58/3.74 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12))),
% 21.58/3.74 inference('cnf', [status(esa)], [zf_stmt_28])).
% 21.58/3.74 thf(zip_derived_cl543, plain, ( (ssNder1_0)),
% 21.58/3.74 inference('cnf', [status(esa)], [zf_stmt_1])).
% 21.58/3.74 thf(zip_derived_cl549, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 21.58/3.74 inference('demod', [status(thm)], [zip_derived_cl542, zip_derived_cl543])).
% 21.58/3.74 thf(zip_derived_cl550, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl541, zip_derived_cl543, zip_derived_cl549])).
% 21.58/3.74 thf(zip_derived_cl556, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl535, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550])).
% 21.58/3.74 thf(zip_derived_cl574, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 21.58/3.74 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl526, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556])).
% 21.58/3.74 thf(zip_derived_cl595, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 21.58/3.74 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl512, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574])).
% 21.58/3.74 thf(zip_derived_cl619, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 21.58/3.74 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl497, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.74 zip_derived_cl595])).
% 21.58/3.74 thf(zip_derived_cl646, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 21.58/3.74 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl480, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.74 zip_derived_cl595, zip_derived_cl619])).
% 21.58/3.74 thf(zip_derived_cl677, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 21.58/3.74 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl461, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.74 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646])).
% 21.58/3.74 thf(zip_derived_cl711, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 21.58/3.74 X7 : $i, X8 : $i]:
% 21.58/3.74 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 21.58/3.74 X7 @ X8)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl439, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.74 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 21.58/3.74 zip_derived_cl677])).
% 21.58/3.74 thf(zip_derived_cl763, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 21.58/3.74 X7 : $i, X8 : $i, X9 : $i]:
% 21.58/3.74 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 21.58/3.74 X7 @ X8 @ X9)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl413, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.74 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 21.58/3.74 zip_derived_cl677, zip_derived_cl711])).
% 21.58/3.74 thf(zip_derived_cl807, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 21.58/3.74 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 21.58/3.74 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 21.58/3.74 X6 @ X7 @ X8 @ X9 @ X10)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl390, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.74 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 21.58/3.74 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763])).
% 21.58/3.74 thf(zip_derived_cl857, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 21.58/3.74 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 21.58/3.74 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 21.58/3.74 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl363, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.74 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 21.58/3.74 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763,
% 21.58/3.74 zip_derived_cl807])).
% 21.58/3.74 thf(clause210, conjecture,
% 21.58/3.74 (~( ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) |
% 21.58/3.74 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 21.58/3.74 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 21.58/3.74 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 21.58/3.74 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 21.58/3.74 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 21.58/3.74 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 21.58/3.74 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 21.58/3.74 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 21.58/3.74 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 21.58/3.74 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 21.58/3.74 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 21.58/3.74 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) ))).
% 21.58/3.74 thf(zf_stmt_29, negated_conjecture,
% 21.58/3.74 (( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) |
% 21.58/3.74 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 21.58/3.74 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 21.58/3.74 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 21.58/3.74 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 21.58/3.74 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 21.58/3.74 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 21.58/3.74 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 21.58/3.74 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 21.58/3.74 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 21.58/3.74 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 21.58/3.74 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) )),
% 21.58/3.74 inference('cnf.neg', [status(esa)], [clause210])).
% 21.58/3.74 thf(zip_derived_cl334, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 21.58/3.74 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 21.58/3.74 ( (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 21.58/3.74 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 21.58/3.74 | ~ (ssNder1_0)
% 21.58/3.74 | ~ (ssNder1_1r1 @ X0)
% 21.58/3.74 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 21.58/3.74 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 21.58/3.74 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 21.58/3.74 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 21.58/3.74 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 21.58/3.74 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 21.58/3.74 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 21.58/3.74 X7)
% 21.58/3.74 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 21.58/3.74 X6 @ X7 @ X8)
% 21.58/3.74 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 21.58/3.74 X6 @ X7 @ X8 @ X9)
% 21.58/3.74 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 21.58/3.74 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 21.58/3.74 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 21.58/3.74 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11))),
% 21.58/3.74 inference('cnf', [status(esa)], [zf_stmt_29])).
% 21.58/3.74 thf(zip_derived_cl543, plain, ( (ssNder1_0)),
% 21.58/3.74 inference('cnf', [status(esa)], [zf_stmt_1])).
% 21.58/3.74 thf(zip_derived_cl549, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 21.58/3.74 inference('demod', [status(thm)], [zip_derived_cl542, zip_derived_cl543])).
% 21.58/3.74 thf(zip_derived_cl550, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl541, zip_derived_cl543, zip_derived_cl549])).
% 21.58/3.74 thf(zip_derived_cl556, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl535, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550])).
% 21.58/3.74 thf(zip_derived_cl574, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 21.58/3.74 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl526, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556])).
% 21.58/3.74 thf(zip_derived_cl595, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 21.58/3.74 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl512, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574])).
% 21.58/3.74 thf(zip_derived_cl619, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 21.58/3.74 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl497, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.74 zip_derived_cl595])).
% 21.58/3.74 thf(zip_derived_cl646, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 21.58/3.74 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl480, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.74 zip_derived_cl595, zip_derived_cl619])).
% 21.58/3.74 thf(zip_derived_cl677, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 21.58/3.74 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl461, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.74 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646])).
% 21.58/3.74 thf(zip_derived_cl711, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 21.58/3.74 X7 : $i, X8 : $i]:
% 21.58/3.74 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 21.58/3.74 X7 @ X8)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl439, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.74 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 21.58/3.74 zip_derived_cl677])).
% 21.58/3.74 thf(zip_derived_cl763, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 21.58/3.74 X7 : $i, X8 : $i, X9 : $i]:
% 21.58/3.74 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 21.58/3.74 X7 @ X8 @ X9)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl413, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.74 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 21.58/3.74 zip_derived_cl677, zip_derived_cl711])).
% 21.58/3.74 thf(zip_derived_cl807, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 21.58/3.74 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 21.58/3.74 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 21.58/3.74 X6 @ X7 @ X8 @ X9 @ X10)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl390, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.74 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 21.58/3.74 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763])).
% 21.58/3.74 thf(zip_derived_cl857, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 21.58/3.74 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 21.58/3.74 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 21.58/3.74 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl363, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.74 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 21.58/3.74 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763,
% 21.58/3.74 zip_derived_cl807])).
% 21.58/3.74 thf(zip_derived_cl911, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 21.58/3.74 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 21.58/3.74 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 21.58/3.74 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl334, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.74 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 21.58/3.74 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763,
% 21.58/3.74 zip_derived_cl807, zip_derived_cl857])).
% 21.58/3.74 thf(zip_derived_cl1038, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 21.58/3.74 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 21.58/3.74 ( (ssPv15_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 21.58/3.74 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 21.58/3.74 | ~ (ssPv15_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 21.58/3.74 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12))),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl281, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.74 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 21.58/3.74 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763,
% 21.58/3.74 zip_derived_cl807, zip_derived_cl857, zip_derived_cl911])).
% 21.58/3.74 thf(clause311, conjecture,
% 21.58/3.74 (~( ( ssPv15_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) |
% 21.58/3.74 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 21.58/3.74 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 21.58/3.74 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 21.58/3.74 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 21.58/3.74 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 21.58/3.74 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 21.58/3.74 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 21.58/3.74 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 21.58/3.74 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 21.58/3.74 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 21.58/3.74 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 21.58/3.74 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 21.58/3.74 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 21.58/3.74 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 21.58/3.74 ( ~( ssPv15_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) ))).
% 21.58/3.74 thf(zf_stmt_30, negated_conjecture,
% 21.58/3.74 (( ssPv15_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) |
% 21.58/3.74 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 21.58/3.74 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 21.58/3.74 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 21.58/3.74 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 21.58/3.74 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 21.58/3.74 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 21.58/3.74 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 21.58/3.74 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 21.58/3.74 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 21.58/3.74 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 21.58/3.74 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 21.58/3.74 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 21.58/3.74 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 21.58/3.74 ( ~( ssPv15_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) )),
% 21.58/3.74 inference('cnf.neg', [status(esa)], [clause311])).
% 21.58/3.74 thf(zip_derived_cl233, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 21.58/3.74 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 21.58/3.74 X14 : $i]:
% 21.58/3.74 ( (ssPv15_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 21.58/3.74 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 21.58/3.74 | ~ (ssNder1_0)
% 21.58/3.74 | ~ (ssNder1_1r1 @ X0)
% 21.58/3.74 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 21.58/3.74 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 21.58/3.74 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 21.58/3.74 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 21.58/3.74 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 21.58/3.74 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 21.58/3.74 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 21.58/3.74 X7)
% 21.58/3.74 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 21.58/3.74 X6 @ X7 @ X8)
% 21.58/3.74 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 21.58/3.74 X6 @ X7 @ X8 @ X9)
% 21.58/3.74 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 21.58/3.74 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 21.58/3.74 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 21.58/3.74 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 21.58/3.74 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 21.58/3.74 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 21.58/3.74 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 21.58/3.74 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 21.58/3.74 | ~ (ssPv15_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 21.58/3.74 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13))),
% 21.58/3.74 inference('cnf', [status(esa)], [zf_stmt_30])).
% 21.58/3.74 thf(zip_derived_cl543, plain, ( (ssNder1_0)),
% 21.58/3.74 inference('cnf', [status(esa)], [zf_stmt_1])).
% 21.58/3.74 thf(zip_derived_cl549, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 21.58/3.74 inference('demod', [status(thm)], [zip_derived_cl542, zip_derived_cl543])).
% 21.58/3.74 thf(zip_derived_cl550, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl541, zip_derived_cl543, zip_derived_cl549])).
% 21.58/3.74 thf(zip_derived_cl556, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl535, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550])).
% 21.58/3.74 thf(zip_derived_cl574, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 21.58/3.74 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl526, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556])).
% 21.58/3.74 thf(zip_derived_cl595, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 21.58/3.74 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl512, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574])).
% 21.58/3.74 thf(zip_derived_cl619, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 21.58/3.74 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl497, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.74 zip_derived_cl595])).
% 21.58/3.74 thf(zip_derived_cl646, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 21.58/3.74 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl480, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.74 zip_derived_cl595, zip_derived_cl619])).
% 21.58/3.74 thf(zip_derived_cl677, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 21.58/3.74 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl461, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.74 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646])).
% 21.58/3.74 thf(zip_derived_cl711, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 21.58/3.74 X7 : $i, X8 : $i]:
% 21.58/3.74 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 21.58/3.74 X7 @ X8)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl439, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.74 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 21.58/3.74 zip_derived_cl677])).
% 21.58/3.74 thf(zip_derived_cl763, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 21.58/3.74 X7 : $i, X8 : $i, X9 : $i]:
% 21.58/3.74 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 21.58/3.74 X7 @ X8 @ X9)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl413, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.74 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 21.58/3.74 zip_derived_cl677, zip_derived_cl711])).
% 21.58/3.74 thf(zip_derived_cl807, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 21.58/3.74 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 21.58/3.74 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 21.58/3.74 X6 @ X7 @ X8 @ X9 @ X10)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl390, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.74 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 21.58/3.74 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763])).
% 21.58/3.74 thf(zip_derived_cl857, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 21.58/3.74 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 21.58/3.74 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 21.58/3.74 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl363, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.74 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 21.58/3.74 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763,
% 21.58/3.74 zip_derived_cl807])).
% 21.58/3.74 thf(zip_derived_cl911, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 21.58/3.74 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 21.58/3.74 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 21.58/3.74 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl334, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.74 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 21.58/3.74 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763,
% 21.58/3.74 zip_derived_cl807, zip_derived_cl857])).
% 21.58/3.74 thf(clause244, conjecture,
% 21.58/3.74 (~( ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) |
% 21.58/3.74 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 21.58/3.74 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 21.58/3.74 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 21.58/3.74 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 21.58/3.74 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 21.58/3.74 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 21.58/3.74 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 21.58/3.74 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 21.58/3.74 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 21.58/3.74 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 21.58/3.74 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 21.58/3.74 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 21.58/3.74 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) ))).
% 21.58/3.74 thf(zf_stmt_31, negated_conjecture,
% 21.58/3.74 (( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) |
% 21.58/3.74 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 21.58/3.74 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 21.58/3.74 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 21.58/3.74 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 21.58/3.74 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 21.58/3.74 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 21.58/3.74 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 21.58/3.74 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 21.58/3.74 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 21.58/3.74 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 21.58/3.74 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 21.58/3.74 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) )),
% 21.58/3.74 inference('cnf.neg', [status(esa)], [clause244])).
% 21.58/3.74 thf(zip_derived_cl300, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 21.58/3.74 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 21.58/3.74 ( (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 21.58/3.74 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 21.58/3.74 | ~ (ssNder1_0)
% 21.58/3.74 | ~ (ssNder1_1r1 @ X0)
% 21.58/3.74 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 21.58/3.74 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 21.58/3.74 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 21.58/3.74 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 21.58/3.74 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 21.58/3.74 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 21.58/3.74 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 21.58/3.74 X7)
% 21.58/3.74 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 21.58/3.74 X6 @ X7 @ X8)
% 21.58/3.74 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 21.58/3.74 X6 @ X7 @ X8 @ X9)
% 21.58/3.74 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 21.58/3.74 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 21.58/3.74 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 21.58/3.74 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 21.58/3.74 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 21.58/3.74 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12))),
% 21.58/3.74 inference('cnf', [status(esa)], [zf_stmt_31])).
% 21.58/3.74 thf(zip_derived_cl543, plain, ( (ssNder1_0)),
% 21.58/3.74 inference('cnf', [status(esa)], [zf_stmt_1])).
% 21.58/3.74 thf(zip_derived_cl549, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 21.58/3.74 inference('demod', [status(thm)], [zip_derived_cl542, zip_derived_cl543])).
% 21.58/3.74 thf(zip_derived_cl550, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl541, zip_derived_cl543, zip_derived_cl549])).
% 21.58/3.74 thf(zip_derived_cl556, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl535, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550])).
% 21.58/3.74 thf(zip_derived_cl574, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 21.58/3.74 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl526, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556])).
% 21.58/3.74 thf(zip_derived_cl595, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 21.58/3.74 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl512, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574])).
% 21.58/3.74 thf(zip_derived_cl619, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 21.58/3.74 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl497, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.74 zip_derived_cl595])).
% 21.58/3.74 thf(zip_derived_cl646, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 21.58/3.74 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl480, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.74 zip_derived_cl595, zip_derived_cl619])).
% 21.58/3.74 thf(zip_derived_cl677, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 21.58/3.74 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl461, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.74 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646])).
% 21.58/3.74 thf(zip_derived_cl711, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 21.58/3.74 X7 : $i, X8 : $i]:
% 21.58/3.74 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 21.58/3.74 X7 @ X8)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl439, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.74 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 21.58/3.74 zip_derived_cl677])).
% 21.58/3.74 thf(zip_derived_cl763, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 21.58/3.74 X7 : $i, X8 : $i, X9 : $i]:
% 21.58/3.74 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 21.58/3.74 X7 @ X8 @ X9)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl413, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.74 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 21.58/3.74 zip_derived_cl677, zip_derived_cl711])).
% 21.58/3.74 thf(zip_derived_cl807, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 21.58/3.74 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 21.58/3.74 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 21.58/3.74 X6 @ X7 @ X8 @ X9 @ X10)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl390, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.74 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 21.58/3.74 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763])).
% 21.58/3.74 thf(zip_derived_cl857, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 21.58/3.74 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 21.58/3.74 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 21.58/3.74 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl363, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.74 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 21.58/3.74 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763,
% 21.58/3.74 zip_derived_cl807])).
% 21.58/3.74 thf(zip_derived_cl911, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 21.58/3.74 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 21.58/3.74 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 21.58/3.74 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl334, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.74 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 21.58/3.74 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763,
% 21.58/3.74 zip_derived_cl807, zip_derived_cl857])).
% 21.58/3.74 thf(zip_derived_cl969, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 21.58/3.74 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 21.58/3.74 (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 21.58/3.74 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl300, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.74 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 21.58/3.74 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763,
% 21.58/3.74 zip_derived_cl807, zip_derived_cl857, zip_derived_cl911])).
% 21.58/3.74 thf(zip_derived_cl1148, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 21.58/3.74 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 21.58/3.74 X14 : $i]:
% 21.58/3.74 ( (ssPv15_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 21.58/3.74 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 21.58/3.74 | ~ (ssPv15_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 21.58/3.74 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13))),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl233, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.74 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 21.58/3.74 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763,
% 21.58/3.74 zip_derived_cl807, zip_derived_cl857, zip_derived_cl911,
% 21.58/3.74 zip_derived_cl969])).
% 21.58/3.74 thf(clause360, conjecture,
% 21.58/3.74 (~( ( ssPv15_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 21.58/3.74 X10 ) |
% 21.58/3.74 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 21.58/3.74 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 21.58/3.74 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 21.58/3.74 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 21.58/3.74 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 21.58/3.74 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 21.58/3.74 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 21.58/3.74 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 21.58/3.74 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 21.58/3.74 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 21.58/3.74 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 21.58/3.74 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 21.58/3.74 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 21.58/3.74 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 21.58/3.74 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 21.58/3.74 ( ~( ssPv15_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) ))).
% 21.58/3.74 thf(zf_stmt_32, negated_conjecture,
% 21.58/3.74 (( ssPv15_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 ) |
% 21.58/3.74 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 21.58/3.74 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 21.58/3.74 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 21.58/3.74 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 21.58/3.74 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 21.58/3.74 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 21.58/3.74 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 21.58/3.74 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 21.58/3.74 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 21.58/3.74 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 21.58/3.74 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 21.58/3.74 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 21.58/3.74 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 21.58/3.74 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 21.58/3.74 ( ~( ssPv15_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) )),
% 21.58/3.74 inference('cnf.neg', [status(esa)], [clause360])).
% 21.58/3.74 thf(zip_derived_cl184, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 21.58/3.74 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 21.58/3.74 X14 : $i, X15 : $i]:
% 21.58/3.74 ( (ssPv15_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 21.58/3.74 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15)
% 21.58/3.74 | ~ (ssNder1_0)
% 21.58/3.74 | ~ (ssNder1_1r1 @ X0)
% 21.58/3.74 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 21.58/3.74 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 21.58/3.74 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 21.58/3.74 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 21.58/3.74 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 21.58/3.74 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 21.58/3.74 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 21.58/3.74 X7)
% 21.58/3.74 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 21.58/3.74 X6 @ X7 @ X8)
% 21.58/3.74 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 21.58/3.74 X6 @ X7 @ X8 @ X9)
% 21.58/3.74 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 21.58/3.74 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 21.58/3.74 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 21.58/3.74 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 21.58/3.74 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 21.58/3.74 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 21.58/3.74 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 21.58/3.74 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 21.58/3.74 | ~ (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 21.58/3.74 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 21.58/3.74 | ~ (ssPv15_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 21.58/3.74 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14))),
% 21.58/3.74 inference('cnf', [status(esa)], [zf_stmt_32])).
% 21.58/3.74 thf(zip_derived_cl543, plain, ( (ssNder1_0)),
% 21.58/3.74 inference('cnf', [status(esa)], [zf_stmt_1])).
% 21.58/3.74 thf(zip_derived_cl549, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 21.58/3.74 inference('demod', [status(thm)], [zip_derived_cl542, zip_derived_cl543])).
% 21.58/3.74 thf(zip_derived_cl550, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl541, zip_derived_cl543, zip_derived_cl549])).
% 21.58/3.74 thf(zip_derived_cl556, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl535, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550])).
% 21.58/3.74 thf(zip_derived_cl574, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 21.58/3.74 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl526, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556])).
% 21.58/3.74 thf(zip_derived_cl595, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 21.58/3.74 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl512, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574])).
% 21.58/3.74 thf(zip_derived_cl619, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 21.58/3.74 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl497, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.74 zip_derived_cl595])).
% 21.58/3.74 thf(zip_derived_cl646, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 21.58/3.74 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl480, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.74 zip_derived_cl595, zip_derived_cl619])).
% 21.58/3.74 thf(zip_derived_cl677, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 21.58/3.74 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl461, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.74 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646])).
% 21.58/3.74 thf(zip_derived_cl711, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 21.58/3.74 X7 : $i, X8 : $i]:
% 21.58/3.74 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 21.58/3.74 X7 @ X8)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl439, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.74 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 21.58/3.74 zip_derived_cl677])).
% 21.58/3.74 thf(zip_derived_cl763, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 21.58/3.74 X7 : $i, X8 : $i, X9 : $i]:
% 21.58/3.74 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 21.58/3.74 X7 @ X8 @ X9)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl413, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.74 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 21.58/3.74 zip_derived_cl677, zip_derived_cl711])).
% 21.58/3.74 thf(zip_derived_cl807, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 21.58/3.74 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 21.58/3.74 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 21.58/3.74 X6 @ X7 @ X8 @ X9 @ X10)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl390, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.74 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 21.58/3.74 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763])).
% 21.58/3.74 thf(zip_derived_cl857, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 21.58/3.74 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 21.58/3.74 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 21.58/3.74 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl363, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.74 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 21.58/3.74 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763,
% 21.58/3.74 zip_derived_cl807])).
% 21.58/3.74 thf(zip_derived_cl911, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 21.58/3.74 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 21.58/3.74 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 21.58/3.74 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl334, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.74 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 21.58/3.74 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763,
% 21.58/3.74 zip_derived_cl807, zip_derived_cl857])).
% 21.58/3.74 thf(zip_derived_cl969, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 21.58/3.74 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 21.58/3.74 (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 21.58/3.74 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl300, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.74 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 21.58/3.74 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763,
% 21.58/3.74 zip_derived_cl807, zip_derived_cl857, zip_derived_cl911])).
% 21.58/3.74 thf(clause284, conjecture,
% 21.58/3.74 (~( ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) |
% 21.58/3.74 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 21.58/3.74 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 21.58/3.74 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 21.58/3.74 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 21.58/3.74 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 21.58/3.74 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 21.58/3.74 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 21.58/3.74 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 21.58/3.74 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 21.58/3.74 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 21.58/3.74 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 21.58/3.74 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 21.58/3.74 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 21.58/3.74 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) ))).
% 21.58/3.74 thf(zf_stmt_33, negated_conjecture,
% 21.58/3.74 (( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) |
% 21.58/3.74 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 21.58/3.74 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 21.58/3.74 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 21.58/3.74 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 21.58/3.74 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 21.58/3.74 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 21.58/3.74 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 21.58/3.74 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 21.58/3.74 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 21.58/3.74 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 21.58/3.74 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 21.58/3.74 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 21.58/3.74 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) )),
% 21.58/3.74 inference('cnf.neg', [status(esa)], [clause284])).
% 21.58/3.74 thf(zip_derived_cl260, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 21.58/3.74 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 21.58/3.74 X14 : $i]:
% 21.58/3.74 ( (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 21.58/3.74 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 21.58/3.74 | ~ (ssNder1_0)
% 21.58/3.74 | ~ (ssNder1_1r1 @ X0)
% 21.58/3.74 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 21.58/3.74 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 21.58/3.74 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 21.58/3.74 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 21.58/3.74 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 21.58/3.74 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 21.58/3.74 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 21.58/3.74 X7)
% 21.58/3.74 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 21.58/3.74 X6 @ X7 @ X8)
% 21.58/3.74 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 21.58/3.74 X6 @ X7 @ X8 @ X9)
% 21.58/3.74 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 21.58/3.74 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 21.58/3.74 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 21.58/3.74 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 21.58/3.74 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 21.58/3.74 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 21.58/3.74 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 21.58/3.74 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13))),
% 21.58/3.74 inference('cnf', [status(esa)], [zf_stmt_33])).
% 21.58/3.74 thf(zip_derived_cl543, plain, ( (ssNder1_0)),
% 21.58/3.74 inference('cnf', [status(esa)], [zf_stmt_1])).
% 21.58/3.74 thf(zip_derived_cl549, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 21.58/3.74 inference('demod', [status(thm)], [zip_derived_cl542, zip_derived_cl543])).
% 21.58/3.74 thf(zip_derived_cl550, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl541, zip_derived_cl543, zip_derived_cl549])).
% 21.58/3.74 thf(zip_derived_cl556, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl535, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550])).
% 21.58/3.74 thf(zip_derived_cl574, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 21.58/3.74 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl526, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556])).
% 21.58/3.74 thf(zip_derived_cl595, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 21.58/3.74 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl512, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574])).
% 21.58/3.74 thf(zip_derived_cl619, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 21.58/3.74 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl497, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.74 zip_derived_cl595])).
% 21.58/3.74 thf(zip_derived_cl646, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 21.58/3.74 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl480, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.74 zip_derived_cl595, zip_derived_cl619])).
% 21.58/3.74 thf(zip_derived_cl677, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 21.58/3.74 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl461, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.74 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646])).
% 21.58/3.74 thf(zip_derived_cl711, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 21.58/3.74 X7 : $i, X8 : $i]:
% 21.58/3.74 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 21.58/3.74 X7 @ X8)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl439, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.74 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 21.58/3.74 zip_derived_cl677])).
% 21.58/3.74 thf(zip_derived_cl763, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 21.58/3.74 X7 : $i, X8 : $i, X9 : $i]:
% 21.58/3.74 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 21.58/3.74 X7 @ X8 @ X9)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl413, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.74 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 21.58/3.74 zip_derived_cl677, zip_derived_cl711])).
% 21.58/3.74 thf(zip_derived_cl807, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 21.58/3.74 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 21.58/3.74 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 21.58/3.74 X6 @ X7 @ X8 @ X9 @ X10)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl390, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.74 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 21.58/3.74 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763])).
% 21.58/3.74 thf(zip_derived_cl857, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 21.58/3.74 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 21.58/3.74 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 21.58/3.74 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl363, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.74 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 21.58/3.74 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763,
% 21.58/3.74 zip_derived_cl807])).
% 21.58/3.74 thf(zip_derived_cl911, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 21.58/3.74 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 21.58/3.74 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 21.58/3.74 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl334, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.74 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 21.58/3.74 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763,
% 21.58/3.74 zip_derived_cl807, zip_derived_cl857])).
% 21.58/3.74 thf(zip_derived_cl969, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 21.58/3.74 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 21.58/3.74 (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 21.58/3.74 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl300, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.74 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 21.58/3.74 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763,
% 21.58/3.74 zip_derived_cl807, zip_derived_cl857, zip_derived_cl911])).
% 21.58/3.74 thf(zip_derived_cl1050, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 21.58/3.74 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 21.58/3.74 X14 : $i]:
% 21.58/3.74 (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 21.58/3.74 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl260, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.74 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 21.58/3.74 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763,
% 21.58/3.74 zip_derived_cl807, zip_derived_cl857, zip_derived_cl911,
% 21.58/3.74 zip_derived_cl969])).
% 21.58/3.74 thf(zip_derived_cl1588, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 21.58/3.74 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 21.58/3.74 X14 : $i, X15 : $i]:
% 21.58/3.74 ( (ssPv15_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 21.58/3.74 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15)
% 21.58/3.74 | ~ (ssPv15_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 21.58/3.74 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14))),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl184, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.74 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 21.58/3.74 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763,
% 21.58/3.74 zip_derived_cl807, zip_derived_cl857, zip_derived_cl911,
% 21.58/3.74 zip_derived_cl969, zip_derived_cl1050])).
% 21.58/3.74 thf(clause285, conjecture,
% 21.58/3.74 (~( ( ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 21.58/3.74 skc16 ) |
% 21.58/3.74 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 21.58/3.74 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 21.58/3.74 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 21.58/3.74 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 21.58/3.74 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 21.58/3.74 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 21.58/3.74 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 21.58/3.74 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 21.58/3.74 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 21.58/3.74 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 21.58/3.74 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 21.58/3.74 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 21.58/3.74 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 21.58/3.74 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) ))).
% 21.58/3.74 thf(zf_stmt_34, negated_conjecture,
% 21.58/3.74 (( ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 21.58/3.74 skc16 ) |
% 21.58/3.74 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 21.58/3.74 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 21.58/3.74 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 21.58/3.74 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 21.58/3.74 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 21.58/3.74 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 21.58/3.74 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 21.58/3.74 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 21.58/3.74 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 21.58/3.74 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 21.58/3.74 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 21.58/3.74 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 21.58/3.74 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) )),
% 21.58/3.74 inference('cnf.neg', [status(esa)], [clause285])).
% 21.58/3.74 thf(zip_derived_cl259, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 21.58/3.74 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 21.58/3.74 X14 : $i]:
% 21.58/3.74 ( (ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 21.58/3.74 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ skc16)
% 21.58/3.74 | ~ (ssNder1_0)
% 21.58/3.74 | ~ (ssNder1_1r1 @ X0)
% 21.58/3.74 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 21.58/3.74 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 21.58/3.74 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 21.58/3.74 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 21.58/3.74 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 21.58/3.74 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 21.58/3.74 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 21.58/3.74 X7)
% 21.58/3.74 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 21.58/3.74 X6 @ X7 @ X8)
% 21.58/3.74 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 21.58/3.74 X6 @ X7 @ X8 @ X9)
% 21.58/3.74 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 21.58/3.74 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 21.58/3.74 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 21.58/3.74 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 21.58/3.74 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 21.58/3.74 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 21.58/3.74 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 21.58/3.74 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13))),
% 21.58/3.74 inference('cnf', [status(esa)], [zf_stmt_34])).
% 21.58/3.74 thf(zip_derived_cl543, plain, ( (ssNder1_0)),
% 21.58/3.74 inference('cnf', [status(esa)], [zf_stmt_1])).
% 21.58/3.74 thf(zip_derived_cl549, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 21.58/3.74 inference('demod', [status(thm)], [zip_derived_cl542, zip_derived_cl543])).
% 21.58/3.74 thf(zip_derived_cl550, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl541, zip_derived_cl543, zip_derived_cl549])).
% 21.58/3.74 thf(zip_derived_cl556, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl535, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550])).
% 21.58/3.74 thf(zip_derived_cl574, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 21.58/3.74 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl526, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556])).
% 21.58/3.74 thf(zip_derived_cl595, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 21.58/3.74 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl512, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574])).
% 21.58/3.74 thf(zip_derived_cl619, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 21.58/3.74 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl497, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.74 zip_derived_cl595])).
% 21.58/3.74 thf(zip_derived_cl646, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 21.58/3.74 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl480, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.74 zip_derived_cl595, zip_derived_cl619])).
% 21.58/3.74 thf(zip_derived_cl677, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 21.58/3.74 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl461, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.74 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646])).
% 21.58/3.74 thf(zip_derived_cl711, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 21.58/3.74 X7 : $i, X8 : $i]:
% 21.58/3.74 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 21.58/3.74 X7 @ X8)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl439, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.74 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 21.58/3.74 zip_derived_cl677])).
% 21.58/3.74 thf(zip_derived_cl763, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 21.58/3.74 X7 : $i, X8 : $i, X9 : $i]:
% 21.58/3.74 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 21.58/3.74 X7 @ X8 @ X9)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl413, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.74 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 21.58/3.74 zip_derived_cl677, zip_derived_cl711])).
% 21.58/3.74 thf(zip_derived_cl807, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 21.58/3.74 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 21.58/3.74 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 21.58/3.74 X6 @ X7 @ X8 @ X9 @ X10)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl390, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.74 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 21.58/3.74 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763])).
% 21.58/3.74 thf(zip_derived_cl857, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 21.58/3.74 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 21.58/3.74 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 21.58/3.74 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl363, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.74 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 21.58/3.74 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763,
% 21.58/3.74 zip_derived_cl807])).
% 21.58/3.74 thf(zip_derived_cl911, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 21.58/3.74 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 21.58/3.74 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 21.58/3.74 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl334, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.74 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 21.58/3.74 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763,
% 21.58/3.74 zip_derived_cl807, zip_derived_cl857])).
% 21.58/3.74 thf(zip_derived_cl969, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 21.58/3.74 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 21.58/3.74 (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 21.58/3.74 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl300, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.74 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 21.58/3.74 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763,
% 21.58/3.74 zip_derived_cl807, zip_derived_cl857, zip_derived_cl911])).
% 21.58/3.74 thf(zip_derived_cl1056, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 21.58/3.74 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 21.58/3.74 X14 : $i]:
% 21.58/3.74 (ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 21.58/3.74 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ skc16)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl259, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.74 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 21.58/3.74 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763,
% 21.58/3.74 zip_derived_cl807, zip_derived_cl857, zip_derived_cl911,
% 21.58/3.74 zip_derived_cl969])).
% 21.58/3.74 thf(clause355, conjecture,
% 21.58/3.74 (~( ( ssPv20_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 21.58/3.74 X10 ) |
% 21.58/3.74 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 21.58/3.74 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 21.58/3.74 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 21.58/3.74 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 21.58/3.74 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 21.58/3.74 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 21.58/3.74 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 21.58/3.74 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 21.58/3.74 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 21.58/3.74 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 21.58/3.74 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 21.58/3.74 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 21.58/3.74 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 21.58/3.74 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 21.58/3.74 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 21.58/3.74 ( ~( ssPv20_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) ))).
% 21.58/3.74 thf(zf_stmt_35, negated_conjecture,
% 21.58/3.74 (( ssPv20_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 ) |
% 21.58/3.74 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 21.58/3.74 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 21.58/3.74 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 21.58/3.74 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 21.58/3.74 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 21.58/3.74 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 21.58/3.74 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 21.58/3.74 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 21.58/3.74 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 21.58/3.74 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 21.58/3.74 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 21.58/3.74 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 21.58/3.74 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 21.58/3.74 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 21.58/3.74 ( ~( ssPv20_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) )),
% 21.58/3.74 inference('cnf.neg', [status(esa)], [clause355])).
% 21.58/3.74 thf(zip_derived_cl189, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 21.58/3.74 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 21.58/3.74 X14 : $i, X15 : $i]:
% 21.58/3.74 ( (ssPv20_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 21.58/3.74 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15)
% 21.58/3.74 | ~ (ssNder1_0)
% 21.58/3.74 | ~ (ssNder1_1r1 @ X0)
% 21.58/3.74 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 21.58/3.74 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 21.58/3.74 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 21.58/3.74 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 21.58/3.74 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 21.58/3.74 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 21.58/3.74 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 21.58/3.74 X7)
% 21.58/3.74 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 21.58/3.74 X6 @ X7 @ X8)
% 21.58/3.74 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 21.58/3.74 X6 @ X7 @ X8 @ X9)
% 21.58/3.74 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 21.58/3.74 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 21.58/3.74 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 21.58/3.74 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 21.58/3.74 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 21.58/3.74 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 21.58/3.74 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 21.58/3.74 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 21.58/3.74 | ~ (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 21.58/3.74 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 21.58/3.74 | ~ (ssPv20_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 21.58/3.74 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14))),
% 21.58/3.74 inference('cnf', [status(esa)], [zf_stmt_35])).
% 21.58/3.74 thf(zip_derived_cl543, plain, ( (ssNder1_0)),
% 21.58/3.74 inference('cnf', [status(esa)], [zf_stmt_1])).
% 21.58/3.74 thf(zip_derived_cl549, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 21.58/3.74 inference('demod', [status(thm)], [zip_derived_cl542, zip_derived_cl543])).
% 21.58/3.74 thf(zip_derived_cl550, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl541, zip_derived_cl543, zip_derived_cl549])).
% 21.58/3.74 thf(zip_derived_cl556, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl535, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550])).
% 21.58/3.74 thf(zip_derived_cl574, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 21.58/3.74 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl526, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556])).
% 21.58/3.74 thf(zip_derived_cl595, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 21.58/3.74 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl512, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574])).
% 21.58/3.74 thf(zip_derived_cl619, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 21.58/3.74 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl497, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.74 zip_derived_cl595])).
% 21.58/3.74 thf(zip_derived_cl646, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 21.58/3.74 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl480, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.74 zip_derived_cl595, zip_derived_cl619])).
% 21.58/3.74 thf(zip_derived_cl677, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 21.58/3.74 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl461, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.74 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646])).
% 21.58/3.74 thf(zip_derived_cl711, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 21.58/3.74 X7 : $i, X8 : $i]:
% 21.58/3.74 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 21.58/3.74 X7 @ X8)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl439, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.74 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 21.58/3.74 zip_derived_cl677])).
% 21.58/3.74 thf(zip_derived_cl763, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 21.58/3.74 X7 : $i, X8 : $i, X9 : $i]:
% 21.58/3.74 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 21.58/3.74 X7 @ X8 @ X9)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl413, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.74 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 21.58/3.74 zip_derived_cl677, zip_derived_cl711])).
% 21.58/3.74 thf(zip_derived_cl807, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 21.58/3.74 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 21.58/3.74 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 21.58/3.74 X6 @ X7 @ X8 @ X9 @ X10)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl390, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.74 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 21.58/3.74 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763])).
% 21.58/3.74 thf(zip_derived_cl857, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 21.58/3.74 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 21.58/3.74 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 21.58/3.74 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl363, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.74 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 21.58/3.74 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763,
% 21.58/3.74 zip_derived_cl807])).
% 21.58/3.74 thf(zip_derived_cl911, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 21.58/3.74 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 21.58/3.74 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 21.58/3.74 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl334, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.74 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 21.58/3.74 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763,
% 21.58/3.74 zip_derived_cl807, zip_derived_cl857])).
% 21.58/3.74 thf(zip_derived_cl969, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 21.58/3.74 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 21.58/3.74 (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 21.58/3.74 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl300, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.74 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 21.58/3.74 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763,
% 21.58/3.74 zip_derived_cl807, zip_derived_cl857, zip_derived_cl911])).
% 21.58/3.74 thf(zip_derived_cl1050, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 21.58/3.74 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 21.58/3.74 X14 : $i]:
% 21.58/3.74 (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 21.58/3.74 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl260, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.74 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 21.58/3.74 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763,
% 21.58/3.74 zip_derived_cl807, zip_derived_cl857, zip_derived_cl911,
% 21.58/3.74 zip_derived_cl969])).
% 21.58/3.74 thf(zip_derived_cl1598, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 21.58/3.74 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 21.58/3.74 X14 : $i, X15 : $i]:
% 21.58/3.74 ( (ssPv20_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 21.58/3.74 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15)
% 21.58/3.74 | ~ (ssPv20_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 21.58/3.74 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14))),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl189, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.74 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 21.58/3.74 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763,
% 21.58/3.74 zip_derived_cl807, zip_derived_cl857, zip_derived_cl911,
% 21.58/3.74 zip_derived_cl969, zip_derived_cl1050])).
% 21.58/3.74 thf(clause411, conjecture,
% 21.58/3.74 (~( ( ssPv9_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 21.58/3.74 X10 ) |
% 21.58/3.74 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 21.58/3.74 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 21.58/3.74 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 21.58/3.74 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 21.58/3.74 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 21.58/3.74 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 21.58/3.74 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 21.58/3.74 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 21.58/3.74 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 21.58/3.74 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 21.58/3.74 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 21.58/3.74 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 21.58/3.74 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 21.58/3.74 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 21.58/3.74 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 21.58/3.74 ( ~( ssPv20_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 21.58/3.74 X9 @ X10 ) ) |
% 21.58/3.74 ( ~( ssPv15_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 21.58/3.74 X9 @ X10 ) ) |
% 21.58/3.74 ( ~( ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 21.58/3.74 X9 @ X10 ) ) ))).
% 21.58/3.74 thf(zf_stmt_36, negated_conjecture,
% 21.58/3.74 (( ssPv9_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 ) |
% 21.58/3.74 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 21.58/3.74 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 21.58/3.74 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 21.58/3.74 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 21.58/3.74 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 21.58/3.74 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 21.58/3.74 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 21.58/3.74 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 21.58/3.74 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 21.58/3.74 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 21.58/3.74 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 21.58/3.74 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 21.58/3.74 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 21.58/3.74 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 21.58/3.74 ( ~( ssPv20_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 21.58/3.74 X10 ) ) |
% 21.58/3.74 ( ~( ssPv15_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 21.58/3.74 X10 ) ) |
% 21.58/3.74 ( ~( ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 21.58/3.74 X10 ) )),
% 21.58/3.74 inference('cnf.neg', [status(esa)], [clause411])).
% 21.58/3.74 thf(zip_derived_cl133, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 21.58/3.74 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 21.58/3.74 X14 : $i, X15 : $i]:
% 21.58/3.74 ( (ssPv9_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 21.58/3.74 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15)
% 21.58/3.74 | ~ (ssNder1_0)
% 21.58/3.74 | ~ (ssNder1_1r1 @ X0)
% 21.58/3.74 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 21.58/3.74 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 21.58/3.74 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 21.58/3.74 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 21.58/3.74 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 21.58/3.74 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 21.58/3.74 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 21.58/3.74 X7)
% 21.58/3.74 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 21.58/3.74 X6 @ X7 @ X8)
% 21.58/3.74 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 21.58/3.74 X6 @ X7 @ X8 @ X9)
% 21.58/3.74 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 21.58/3.74 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 21.58/3.74 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 21.58/3.74 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 21.58/3.74 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 21.58/3.74 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 21.58/3.74 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 21.58/3.74 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 21.58/3.74 | ~ (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 21.58/3.74 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 21.58/3.74 | ~ (ssPv20_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 21.58/3.74 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15)
% 21.58/3.74 | ~ (ssPv15_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 21.58/3.74 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15)
% 21.58/3.74 | ~ (ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 21.58/3.74 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15))),
% 21.58/3.74 inference('cnf', [status(esa)], [zf_stmt_36])).
% 21.58/3.74 thf(zip_derived_cl543, plain, ( (ssNder1_0)),
% 21.58/3.74 inference('cnf', [status(esa)], [zf_stmt_1])).
% 21.58/3.74 thf(zip_derived_cl549, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 21.58/3.74 inference('demod', [status(thm)], [zip_derived_cl542, zip_derived_cl543])).
% 21.58/3.74 thf(zip_derived_cl550, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl541, zip_derived_cl543, zip_derived_cl549])).
% 21.58/3.74 thf(zip_derived_cl556, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl535, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550])).
% 21.58/3.74 thf(zip_derived_cl574, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 21.58/3.74 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl526, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556])).
% 21.58/3.74 thf(zip_derived_cl595, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 21.58/3.74 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl512, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574])).
% 21.58/3.74 thf(zip_derived_cl619, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 21.58/3.74 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl497, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.74 zip_derived_cl595])).
% 21.58/3.74 thf(zip_derived_cl646, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 21.58/3.74 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl480, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.74 zip_derived_cl595, zip_derived_cl619])).
% 21.58/3.74 thf(zip_derived_cl677, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 21.58/3.74 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl461, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.74 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646])).
% 21.58/3.74 thf(zip_derived_cl711, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 21.58/3.74 X7 : $i, X8 : $i]:
% 21.58/3.74 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 21.58/3.74 X7 @ X8)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl439, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.74 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 21.58/3.74 zip_derived_cl677])).
% 21.58/3.74 thf(zip_derived_cl763, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 21.58/3.74 X7 : $i, X8 : $i, X9 : $i]:
% 21.58/3.74 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 21.58/3.74 X7 @ X8 @ X9)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl413, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.74 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 21.58/3.74 zip_derived_cl677, zip_derived_cl711])).
% 21.58/3.74 thf(zip_derived_cl807, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 21.58/3.74 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 21.58/3.74 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 21.58/3.74 X6 @ X7 @ X8 @ X9 @ X10)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl390, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.74 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 21.58/3.74 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763])).
% 21.58/3.74 thf(zip_derived_cl857, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 21.58/3.74 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 21.58/3.74 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 21.58/3.74 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl363, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.74 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 21.58/3.74 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763,
% 21.58/3.74 zip_derived_cl807])).
% 21.58/3.74 thf(zip_derived_cl911, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 21.58/3.74 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 21.58/3.74 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 21.58/3.74 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl334, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.74 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 21.58/3.74 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763,
% 21.58/3.74 zip_derived_cl807, zip_derived_cl857])).
% 21.58/3.74 thf(zip_derived_cl969, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 21.58/3.74 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 21.58/3.74 (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 21.58/3.74 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl300, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.74 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 21.58/3.74 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763,
% 21.58/3.74 zip_derived_cl807, zip_derived_cl857, zip_derived_cl911])).
% 21.58/3.74 thf(zip_derived_cl1050, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 21.58/3.74 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 21.58/3.74 X14 : $i]:
% 21.58/3.74 (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 21.58/3.74 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl260, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.74 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 21.58/3.74 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763,
% 21.58/3.74 zip_derived_cl807, zip_derived_cl857, zip_derived_cl911,
% 21.58/3.74 zip_derived_cl969])).
% 21.58/3.74 thf(zip_derived_cl2707, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 21.58/3.74 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 21.58/3.74 X14 : $i, X15 : $i]:
% 21.58/3.74 ( (ssPv9_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 21.58/3.74 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15)
% 21.58/3.74 | ~ (ssPv20_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 21.58/3.74 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15)
% 21.58/3.74 | ~ (ssPv15_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 21.58/3.74 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15)
% 21.58/3.74 | ~ (ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 21.58/3.74 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15))),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl133, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.74 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 21.58/3.74 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763,
% 21.58/3.74 zip_derived_cl807, zip_derived_cl857, zip_derived_cl911,
% 21.58/3.74 zip_derived_cl969, zip_derived_cl1050])).
% 21.58/3.74 thf(zip_derived_cl2708, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 21.58/3.74 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 21.58/3.74 X14 : $i, X15 : $i]:
% 21.58/3.74 (~ (ssPv20_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X15 @ X14 @ X13 @ X12 @
% 21.58/3.74 X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1)
% 21.58/3.74 | ~ (ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X15 @ X14 @ X13 @
% 21.58/3.74 X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @
% 21.58/3.74 X0)
% 21.58/3.74 | ~ (ssPv15_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X15 @ X14 @ X13 @
% 21.58/3.74 X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @
% 21.58/3.74 X0)
% 21.58/3.74 | (ssPv9_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X15 @ X14 @ X13 @
% 21.58/3.74 X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0))),
% 21.58/3.74 inference('sup-', [status(thm)], [zip_derived_cl1598, zip_derived_cl2707])).
% 21.58/3.74 thf(zip_derived_cl2710, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 21.58/3.74 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 21.58/3.74 X14 : $i]:
% 21.58/3.74 ( (ssPv9_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X14 @ X13 @ X12 @ X11 @
% 21.58/3.74 X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ skc16)
% 21.58/3.74 | ~ (ssPv15_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X14 @ X13 @ X12 @
% 21.58/3.74 X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @
% 21.58/3.74 skc16)
% 21.58/3.74 | ~ (ssPv20_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X14 @ X13 @ X12 @
% 21.58/3.74 X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0))),
% 21.58/3.74 inference('sup-', [status(thm)], [zip_derived_cl1056, zip_derived_cl2708])).
% 21.58/3.74 thf(clause306, conjecture,
% 21.58/3.74 (~( ( ssPv20_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) |
% 21.58/3.74 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 21.58/3.74 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 21.58/3.74 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 21.58/3.74 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 21.58/3.74 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 21.58/3.74 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 21.58/3.74 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 21.58/3.74 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 21.58/3.74 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 21.58/3.74 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 21.58/3.74 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 21.58/3.74 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 21.58/3.74 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 21.58/3.74 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 21.58/3.74 ( ~( ssPv20_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) ))).
% 21.58/3.74 thf(zf_stmt_37, negated_conjecture,
% 21.58/3.74 (( ssPv20_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) |
% 21.58/3.74 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 21.58/3.74 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 21.58/3.74 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 21.58/3.74 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 21.58/3.74 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 21.58/3.74 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 21.58/3.74 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 21.58/3.74 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 21.58/3.74 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 21.58/3.74 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 21.58/3.74 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 21.58/3.74 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 21.58/3.74 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 21.58/3.74 ( ~( ssPv20_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) )),
% 21.58/3.74 inference('cnf.neg', [status(esa)], [clause306])).
% 21.58/3.74 thf(zip_derived_cl238, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 21.58/3.74 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 21.58/3.74 X14 : $i]:
% 21.58/3.74 ( (ssPv20_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 21.58/3.74 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 21.58/3.74 | ~ (ssNder1_0)
% 21.58/3.74 | ~ (ssNder1_1r1 @ X0)
% 21.58/3.74 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 21.58/3.74 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 21.58/3.74 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 21.58/3.74 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 21.58/3.74 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 21.58/3.74 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 21.58/3.74 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 21.58/3.74 X7)
% 21.58/3.74 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 21.58/3.74 X6 @ X7 @ X8)
% 21.58/3.74 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 21.58/3.74 X6 @ X7 @ X8 @ X9)
% 21.58/3.74 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 21.58/3.74 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 21.58/3.74 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 21.58/3.74 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 21.58/3.74 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 21.58/3.74 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 21.58/3.74 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 21.58/3.74 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 21.58/3.74 | ~ (ssPv20_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 21.58/3.74 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13))),
% 21.58/3.74 inference('cnf', [status(esa)], [zf_stmt_37])).
% 21.58/3.74 thf(zip_derived_cl543, plain, ( (ssNder1_0)),
% 21.58/3.74 inference('cnf', [status(esa)], [zf_stmt_1])).
% 21.58/3.74 thf(zip_derived_cl549, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 21.58/3.74 inference('demod', [status(thm)], [zip_derived_cl542, zip_derived_cl543])).
% 21.58/3.74 thf(zip_derived_cl550, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl541, zip_derived_cl543, zip_derived_cl549])).
% 21.58/3.74 thf(zip_derived_cl556, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl535, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550])).
% 21.58/3.74 thf(zip_derived_cl574, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 21.58/3.74 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl526, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556])).
% 21.58/3.74 thf(zip_derived_cl595, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 21.58/3.74 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl512, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574])).
% 21.58/3.74 thf(zip_derived_cl619, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 21.58/3.74 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl497, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.74 zip_derived_cl595])).
% 21.58/3.74 thf(zip_derived_cl646, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 21.58/3.74 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl480, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.74 zip_derived_cl595, zip_derived_cl619])).
% 21.58/3.74 thf(zip_derived_cl677, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 21.58/3.74 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl461, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.74 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646])).
% 21.58/3.74 thf(zip_derived_cl711, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 21.58/3.74 X7 : $i, X8 : $i]:
% 21.58/3.74 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 21.58/3.74 X7 @ X8)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl439, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.74 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 21.58/3.74 zip_derived_cl677])).
% 21.58/3.74 thf(zip_derived_cl763, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 21.58/3.74 X7 : $i, X8 : $i, X9 : $i]:
% 21.58/3.74 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 21.58/3.74 X7 @ X8 @ X9)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl413, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.74 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 21.58/3.74 zip_derived_cl677, zip_derived_cl711])).
% 21.58/3.74 thf(zip_derived_cl807, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 21.58/3.74 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 21.58/3.74 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 21.58/3.74 X6 @ X7 @ X8 @ X9 @ X10)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl390, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.74 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 21.58/3.74 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763])).
% 21.58/3.74 thf(zip_derived_cl857, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 21.58/3.74 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 21.58/3.74 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 21.58/3.74 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl363, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.74 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 21.58/3.74 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763,
% 21.58/3.74 zip_derived_cl807])).
% 21.58/3.74 thf(zip_derived_cl911, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 21.58/3.74 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 21.58/3.74 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 21.58/3.74 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl334, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.74 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 21.58/3.74 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763,
% 21.58/3.74 zip_derived_cl807, zip_derived_cl857])).
% 21.58/3.74 thf(zip_derived_cl969, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 21.58/3.74 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 21.58/3.74 (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 21.58/3.74 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl300, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.74 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 21.58/3.74 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763,
% 21.58/3.74 zip_derived_cl807, zip_derived_cl857, zip_derived_cl911])).
% 21.58/3.74 thf(zip_derived_cl1159, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 21.58/3.74 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 21.58/3.74 X14 : $i]:
% 21.58/3.74 ( (ssPv20_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 21.58/3.74 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 21.58/3.74 | ~ (ssPv20_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 21.58/3.74 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13))),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl238, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.74 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 21.58/3.74 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763,
% 21.58/3.74 zip_derived_cl807, zip_derived_cl857, zip_derived_cl911,
% 21.58/3.74 zip_derived_cl969])).
% 21.58/3.74 thf(clause258, conjecture,
% 21.58/3.74 (~( ( ssPv20_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) |
% 21.58/3.74 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 21.58/3.74 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 21.58/3.74 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 21.58/3.74 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 21.58/3.74 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 21.58/3.74 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 21.58/3.74 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 21.58/3.74 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 21.58/3.74 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 21.58/3.74 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 21.58/3.74 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 21.58/3.74 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 21.58/3.74 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 21.58/3.74 ( ~( ssPv20_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) ))).
% 21.58/3.74 thf(zf_stmt_38, negated_conjecture,
% 21.58/3.74 (( ssPv20_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) |
% 21.58/3.74 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 21.58/3.74 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 21.58/3.74 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 21.58/3.74 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 21.58/3.74 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 21.58/3.74 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 21.58/3.74 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 21.58/3.74 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 21.58/3.74 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 21.58/3.74 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 21.58/3.74 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 21.58/3.74 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 21.58/3.74 ( ~( ssPv20_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) )),
% 21.58/3.74 inference('cnf.neg', [status(esa)], [clause258])).
% 21.58/3.74 thf(zip_derived_cl286, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 21.58/3.74 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 21.58/3.74 ( (ssPv20_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 21.58/3.74 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 21.58/3.74 | ~ (ssNder1_0)
% 21.58/3.74 | ~ (ssNder1_1r1 @ X0)
% 21.58/3.74 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 21.58/3.74 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 21.58/3.74 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 21.58/3.74 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 21.58/3.74 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 21.58/3.74 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 21.58/3.74 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 21.58/3.74 X7)
% 21.58/3.74 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 21.58/3.74 X6 @ X7 @ X8)
% 21.58/3.74 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 21.58/3.74 X6 @ X7 @ X8 @ X9)
% 21.58/3.74 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 21.58/3.74 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 21.58/3.74 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 21.58/3.74 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 21.58/3.74 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 21.58/3.74 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 21.58/3.74 | ~ (ssPv20_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 21.58/3.74 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12))),
% 21.58/3.74 inference('cnf', [status(esa)], [zf_stmt_38])).
% 21.58/3.74 thf(zip_derived_cl543, plain, ( (ssNder1_0)),
% 21.58/3.74 inference('cnf', [status(esa)], [zf_stmt_1])).
% 21.58/3.74 thf(zip_derived_cl549, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 21.58/3.74 inference('demod', [status(thm)], [zip_derived_cl542, zip_derived_cl543])).
% 21.58/3.74 thf(zip_derived_cl550, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl541, zip_derived_cl543, zip_derived_cl549])).
% 21.58/3.74 thf(zip_derived_cl556, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl535, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550])).
% 21.58/3.74 thf(zip_derived_cl574, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 21.58/3.74 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl526, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556])).
% 21.58/3.74 thf(zip_derived_cl595, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 21.58/3.74 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl512, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574])).
% 21.58/3.74 thf(zip_derived_cl619, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 21.58/3.74 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl497, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.74 zip_derived_cl595])).
% 21.58/3.74 thf(zip_derived_cl646, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 21.58/3.74 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl480, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.74 zip_derived_cl595, zip_derived_cl619])).
% 21.58/3.74 thf(zip_derived_cl677, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 21.58/3.74 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl461, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.74 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646])).
% 21.58/3.74 thf(zip_derived_cl711, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 21.58/3.74 X7 : $i, X8 : $i]:
% 21.58/3.74 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 21.58/3.74 X7 @ X8)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl439, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.74 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 21.58/3.74 zip_derived_cl677])).
% 21.58/3.74 thf(zip_derived_cl763, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 21.58/3.74 X7 : $i, X8 : $i, X9 : $i]:
% 21.58/3.74 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 21.58/3.74 X7 @ X8 @ X9)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl413, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.74 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 21.58/3.74 zip_derived_cl677, zip_derived_cl711])).
% 21.58/3.74 thf(zip_derived_cl807, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 21.58/3.74 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 21.58/3.74 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 21.58/3.74 X6 @ X7 @ X8 @ X9 @ X10)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl390, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.74 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 21.58/3.74 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763])).
% 21.58/3.74 thf(zip_derived_cl857, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 21.58/3.74 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 21.58/3.74 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 21.58/3.74 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl363, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.74 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 21.58/3.74 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763,
% 21.58/3.74 zip_derived_cl807])).
% 21.58/3.74 thf(zip_derived_cl911, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 21.58/3.74 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 21.58/3.74 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 21.58/3.74 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl334, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.74 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 21.58/3.74 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763,
% 21.58/3.74 zip_derived_cl807, zip_derived_cl857])).
% 21.58/3.74 thf(zip_derived_cl1048, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 21.58/3.74 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 21.58/3.74 ( (ssPv20_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 21.58/3.74 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 21.58/3.74 | ~ (ssPv20_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 21.58/3.74 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12))),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl286, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.74 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 21.58/3.74 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763,
% 21.58/3.74 zip_derived_cl807, zip_derived_cl857, zip_derived_cl911])).
% 21.58/3.74 thf(clause238, conjecture,
% 21.58/3.74 (~( ( ssPv20_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) |
% 21.58/3.74 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 21.58/3.74 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 21.58/3.74 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 21.58/3.74 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 21.58/3.74 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 21.58/3.74 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 21.58/3.74 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 21.58/3.74 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 21.58/3.74 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 21.58/3.74 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 21.58/3.74 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 21.58/3.74 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 21.58/3.74 ( ~( ssPv20_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) ))).
% 21.58/3.74 thf(zf_stmt_39, negated_conjecture,
% 21.58/3.74 (( ssPv20_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) |
% 21.58/3.74 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 21.58/3.74 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 21.58/3.74 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 21.58/3.74 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 21.58/3.74 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 21.58/3.74 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 21.58/3.74 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 21.58/3.74 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 21.58/3.74 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 21.58/3.74 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 21.58/3.74 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 21.58/3.74 ( ~( ssPv20_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) )),
% 21.58/3.74 inference('cnf.neg', [status(esa)], [clause238])).
% 21.58/3.74 thf(zip_derived_cl306, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 21.58/3.74 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 21.58/3.74 ( (ssPv20_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 21.58/3.74 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 21.58/3.74 | ~ (ssNder1_0)
% 21.58/3.74 | ~ (ssNder1_1r1 @ X0)
% 21.58/3.74 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 21.58/3.74 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 21.58/3.74 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 21.58/3.74 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 21.58/3.74 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 21.58/3.74 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 21.58/3.74 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 21.58/3.74 X7)
% 21.58/3.74 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 21.58/3.74 X6 @ X7 @ X8)
% 21.58/3.74 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 21.58/3.74 X6 @ X7 @ X8 @ X9)
% 21.58/3.74 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 21.58/3.74 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 21.58/3.74 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 21.58/3.74 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 21.58/3.74 | ~ (ssPv20_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 21.58/3.74 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11))),
% 21.58/3.74 inference('cnf', [status(esa)], [zf_stmt_39])).
% 21.58/3.74 thf(zip_derived_cl543, plain, ( (ssNder1_0)),
% 21.58/3.74 inference('cnf', [status(esa)], [zf_stmt_1])).
% 21.58/3.74 thf(zip_derived_cl549, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 21.58/3.74 inference('demod', [status(thm)], [zip_derived_cl542, zip_derived_cl543])).
% 21.58/3.74 thf(zip_derived_cl550, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl541, zip_derived_cl543, zip_derived_cl549])).
% 21.58/3.74 thf(zip_derived_cl556, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl535, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550])).
% 21.58/3.74 thf(zip_derived_cl574, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 21.58/3.74 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl526, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556])).
% 21.58/3.74 thf(zip_derived_cl595, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 21.58/3.74 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl512, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574])).
% 21.58/3.74 thf(zip_derived_cl619, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 21.58/3.74 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl497, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.74 zip_derived_cl595])).
% 21.58/3.74 thf(zip_derived_cl646, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 21.58/3.74 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl480, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.74 zip_derived_cl595, zip_derived_cl619])).
% 21.58/3.74 thf(zip_derived_cl677, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 21.58/3.74 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl461, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.74 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646])).
% 21.58/3.74 thf(zip_derived_cl711, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 21.58/3.74 X7 : $i, X8 : $i]:
% 21.58/3.74 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 21.58/3.74 X7 @ X8)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl439, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.74 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 21.58/3.74 zip_derived_cl677])).
% 21.58/3.74 thf(zip_derived_cl763, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 21.58/3.74 X7 : $i, X8 : $i, X9 : $i]:
% 21.58/3.74 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 21.58/3.74 X7 @ X8 @ X9)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl413, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.74 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 21.58/3.74 zip_derived_cl677, zip_derived_cl711])).
% 21.58/3.74 thf(zip_derived_cl807, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 21.58/3.74 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 21.58/3.74 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 21.58/3.74 X6 @ X7 @ X8 @ X9 @ X10)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl390, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.74 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 21.58/3.74 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763])).
% 21.58/3.74 thf(zip_derived_cl857, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 21.58/3.74 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 21.58/3.74 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 21.58/3.74 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl363, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.74 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 21.58/3.74 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763,
% 21.58/3.74 zip_derived_cl807])).
% 21.58/3.74 thf(zip_derived_cl950, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 21.58/3.74 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 21.58/3.74 ( (ssPv20_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 21.58/3.74 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 21.58/3.74 | ~ (ssPv20_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 21.58/3.74 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11))),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl306, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.74 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 21.58/3.74 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763,
% 21.58/3.74 zip_derived_cl807, zip_derived_cl857])).
% 21.58/3.74 thf(clause196, conjecture,
% 21.58/3.74 (~( ( ssPv20_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) |
% 21.58/3.74 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 21.58/3.74 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 21.58/3.74 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 21.58/3.74 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 21.58/3.74 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 21.58/3.74 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 21.58/3.74 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 21.58/3.74 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 21.58/3.74 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 21.58/3.74 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 21.58/3.74 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 21.58/3.74 ( ~( ssPv20_11r1r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) ))).
% 21.58/3.74 thf(zf_stmt_40, negated_conjecture,
% 21.58/3.74 (( ssPv20_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) |
% 21.58/3.74 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 21.58/3.74 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 21.58/3.74 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 21.58/3.74 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 21.58/3.74 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 21.58/3.74 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 21.58/3.74 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 21.58/3.74 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 21.58/3.74 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 21.58/3.74 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 21.58/3.74 ( ~( ssPv20_11r1r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) )),
% 21.58/3.74 inference('cnf.neg', [status(esa)], [clause196])).
% 21.58/3.74 thf(zip_derived_cl348, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 21.58/3.74 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 21.58/3.74 ( (ssPv20_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 21.58/3.74 X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 21.58/3.74 | ~ (ssNder1_0)
% 21.58/3.74 | ~ (ssNder1_1r1 @ X0)
% 21.58/3.74 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 21.58/3.74 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 21.58/3.74 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 21.58/3.74 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 21.58/3.74 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 21.58/3.74 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 21.58/3.74 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 21.58/3.74 X7)
% 21.58/3.74 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 21.58/3.74 X6 @ X7 @ X8)
% 21.58/3.74 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 21.58/3.74 X6 @ X7 @ X8 @ X9)
% 21.58/3.74 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 21.58/3.74 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 21.58/3.74 | ~ (ssPv20_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 21.58/3.74 X6 @ X7 @ X8 @ X9 @ X10))),
% 21.58/3.74 inference('cnf', [status(esa)], [zf_stmt_40])).
% 21.58/3.74 thf(zip_derived_cl543, plain, ( (ssNder1_0)),
% 21.58/3.74 inference('cnf', [status(esa)], [zf_stmt_1])).
% 21.58/3.74 thf(zip_derived_cl549, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 21.58/3.74 inference('demod', [status(thm)], [zip_derived_cl542, zip_derived_cl543])).
% 21.58/3.74 thf(zip_derived_cl550, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl541, zip_derived_cl543, zip_derived_cl549])).
% 21.58/3.74 thf(zip_derived_cl556, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl535, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550])).
% 21.58/3.74 thf(zip_derived_cl574, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 21.58/3.74 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl526, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556])).
% 21.58/3.74 thf(zip_derived_cl595, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 21.58/3.74 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl512, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574])).
% 21.58/3.74 thf(zip_derived_cl619, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 21.58/3.74 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl497, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.74 zip_derived_cl595])).
% 21.58/3.74 thf(zip_derived_cl646, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 21.58/3.74 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl480, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.74 zip_derived_cl595, zip_derived_cl619])).
% 21.58/3.74 thf(zip_derived_cl677, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 21.58/3.74 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl461, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.74 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646])).
% 21.58/3.74 thf(zip_derived_cl711, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 21.58/3.74 X7 : $i, X8 : $i]:
% 21.58/3.74 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 21.58/3.74 X7 @ X8)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl439, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.74 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 21.58/3.74 zip_derived_cl677])).
% 21.58/3.74 thf(zip_derived_cl763, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 21.58/3.74 X7 : $i, X8 : $i, X9 : $i]:
% 21.58/3.74 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 21.58/3.74 X7 @ X8 @ X9)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl413, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.74 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 21.58/3.74 zip_derived_cl677, zip_derived_cl711])).
% 21.58/3.74 thf(zip_derived_cl807, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 21.58/3.74 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 21.58/3.74 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 21.58/3.74 X6 @ X7 @ X8 @ X9 @ X10)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl390, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.74 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 21.58/3.74 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763])).
% 21.58/3.74 thf(zip_derived_cl909, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 21.58/3.74 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 21.58/3.74 ( (ssPv20_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 21.58/3.74 X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 21.58/3.74 | ~ (ssPv20_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 21.58/3.74 X6 @ X7 @ X8 @ X9 @ X10))),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl348, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.74 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 21.58/3.74 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763,
% 21.58/3.74 zip_derived_cl807])).
% 21.58/3.74 thf(clause178, conjecture,
% 21.58/3.74 (~( ( ssPv20_11r1r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) |
% 21.58/3.74 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 21.58/3.74 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 21.58/3.74 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 21.58/3.74 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 21.58/3.74 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 21.58/3.74 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 21.58/3.74 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 21.58/3.74 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 21.58/3.74 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 21.58/3.74 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 21.58/3.74 ( ~( ssPv20_10r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) ))).
% 21.58/3.74 thf(zf_stmt_41, negated_conjecture,
% 21.58/3.74 (( ssPv20_11r1r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) |
% 21.58/3.74 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 21.58/3.74 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 21.58/3.74 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 21.58/3.74 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 21.58/3.74 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 21.58/3.74 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 21.58/3.74 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 21.58/3.74 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 21.58/3.74 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 21.58/3.74 ( ~( ssPv20_10r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) )),
% 21.58/3.74 inference('cnf.neg', [status(esa)], [clause178])).
% 21.58/3.74 thf(zip_derived_cl366, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 21.58/3.74 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 21.58/3.74 ( (ssPv20_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 21.58/3.74 X6 @ X7 @ X8 @ X9 @ X10)
% 21.58/3.74 | ~ (ssNder1_0)
% 21.58/3.74 | ~ (ssNder1_1r1 @ X0)
% 21.58/3.74 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 21.58/3.74 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 21.58/3.74 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 21.58/3.74 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 21.58/3.74 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 21.58/3.74 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 21.58/3.74 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 21.58/3.74 X7)
% 21.58/3.74 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 21.58/3.74 X6 @ X7 @ X8)
% 21.58/3.74 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 21.58/3.74 X6 @ X7 @ X8 @ X9)
% 21.58/3.74 | ~ (ssPv20_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 21.58/3.74 X6 @ X7 @ X8 @ X9))),
% 21.58/3.74 inference('cnf', [status(esa)], [zf_stmt_41])).
% 21.58/3.74 thf(zip_derived_cl543, plain, ( (ssNder1_0)),
% 21.58/3.74 inference('cnf', [status(esa)], [zf_stmt_1])).
% 21.58/3.74 thf(zip_derived_cl549, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 21.58/3.74 inference('demod', [status(thm)], [zip_derived_cl542, zip_derived_cl543])).
% 21.58/3.74 thf(zip_derived_cl550, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl541, zip_derived_cl543, zip_derived_cl549])).
% 21.58/3.74 thf(zip_derived_cl556, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl535, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550])).
% 21.58/3.74 thf(zip_derived_cl574, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 21.58/3.74 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl526, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556])).
% 21.58/3.74 thf(zip_derived_cl595, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 21.58/3.74 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl512, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574])).
% 21.58/3.74 thf(zip_derived_cl619, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 21.58/3.74 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl497, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.74 zip_derived_cl595])).
% 21.58/3.74 thf(zip_derived_cl646, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 21.58/3.74 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl480, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.74 zip_derived_cl595, zip_derived_cl619])).
% 21.58/3.74 thf(zip_derived_cl677, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 21.58/3.74 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl461, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.74 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646])).
% 21.58/3.74 thf(zip_derived_cl711, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 21.58/3.74 X7 : $i, X8 : $i]:
% 21.58/3.74 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 21.58/3.74 X7 @ X8)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl439, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.74 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 21.58/3.74 zip_derived_cl677])).
% 21.58/3.74 thf(zip_derived_cl763, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 21.58/3.74 X7 : $i, X8 : $i, X9 : $i]:
% 21.58/3.74 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 21.58/3.74 X7 @ X8 @ X9)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl413, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.74 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 21.58/3.74 zip_derived_cl677, zip_derived_cl711])).
% 21.58/3.74 thf(zip_derived_cl831, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 21.58/3.74 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 21.58/3.74 ( (ssPv20_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 21.58/3.74 X6 @ X7 @ X8 @ X9 @ X10)
% 21.58/3.74 | ~ (ssPv20_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 21.58/3.74 X6 @ X7 @ X8 @ X9))),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl366, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.74 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 21.58/3.74 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763])).
% 21.58/3.74 thf(clause145, conjecture,
% 21.58/3.74 (~( ( ssPv20_10r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) |
% 21.58/3.74 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 21.58/3.74 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 21.58/3.74 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 21.58/3.74 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 21.58/3.74 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 21.58/3.74 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 21.58/3.74 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 21.58/3.74 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 21.58/3.74 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 21.58/3.74 ( ~( ssPv20_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) ))).
% 21.58/3.74 thf(zf_stmt_42, negated_conjecture,
% 21.58/3.74 (( ssPv20_10r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) |
% 21.58/3.74 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 21.58/3.74 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 21.58/3.74 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 21.58/3.74 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 21.58/3.74 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 21.58/3.74 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 21.58/3.74 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 21.58/3.74 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 21.58/3.74 ( ~( ssPv20_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) )),
% 21.58/3.74 inference('cnf.neg', [status(esa)], [clause145])).
% 21.58/3.74 thf(zip_derived_cl399, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 21.58/3.74 X7 : $i, X8 : $i, X9 : $i]:
% 21.58/3.74 ( (ssPv20_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 21.58/3.74 X7 @ X8 @ X9)
% 21.58/3.74 | ~ (ssNder1_0)
% 21.58/3.74 | ~ (ssNder1_1r1 @ X0)
% 21.58/3.74 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 21.58/3.74 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 21.58/3.74 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 21.58/3.74 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 21.58/3.74 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 21.58/3.74 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 21.58/3.74 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 21.58/3.74 X7)
% 21.58/3.74 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 21.58/3.74 X6 @ X7 @ X8)
% 21.58/3.74 | ~ (ssPv20_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 21.58/3.74 X7 @ X8))),
% 21.58/3.74 inference('cnf', [status(esa)], [zf_stmt_42])).
% 21.58/3.74 thf(zip_derived_cl543, plain, ( (ssNder1_0)),
% 21.58/3.74 inference('cnf', [status(esa)], [zf_stmt_1])).
% 21.58/3.74 thf(zip_derived_cl549, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 21.58/3.74 inference('demod', [status(thm)], [zip_derived_cl542, zip_derived_cl543])).
% 21.58/3.74 thf(zip_derived_cl550, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl541, zip_derived_cl543, zip_derived_cl549])).
% 21.58/3.74 thf(zip_derived_cl556, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl535, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550])).
% 21.58/3.74 thf(zip_derived_cl574, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 21.58/3.74 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl526, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556])).
% 21.58/3.74 thf(zip_derived_cl595, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 21.58/3.74 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl512, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574])).
% 21.58/3.74 thf(zip_derived_cl619, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 21.58/3.74 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl497, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.74 zip_derived_cl595])).
% 21.58/3.74 thf(zip_derived_cl646, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 21.58/3.74 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl480, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.74 zip_derived_cl595, zip_derived_cl619])).
% 21.58/3.74 thf(zip_derived_cl677, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 21.58/3.74 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl461, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.74 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646])).
% 21.58/3.74 thf(zip_derived_cl711, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 21.58/3.74 X7 : $i, X8 : $i]:
% 21.58/3.74 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 21.58/3.74 X7 @ X8)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl439, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.74 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 21.58/3.74 zip_derived_cl677])).
% 21.58/3.74 thf(zip_derived_cl804, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 21.58/3.74 X7 : $i, X8 : $i, X9 : $i]:
% 21.58/3.74 ( (ssPv20_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 21.58/3.74 X7 @ X8 @ X9)
% 21.58/3.74 | ~ (ssPv20_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 21.58/3.74 X7 @ X8))),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl399, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.74 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 21.58/3.74 zip_derived_cl677, zip_derived_cl711])).
% 21.58/3.74 thf(clause116, conjecture,
% 21.58/3.74 (~( ( ssPv20_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) |
% 21.58/3.74 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 21.58/3.74 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 21.58/3.74 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 21.58/3.74 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 21.58/3.74 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 21.58/3.74 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 21.58/3.74 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 21.58/3.74 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 21.58/3.74 ( ~( ssPv20_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) ))).
% 21.58/3.74 thf(zf_stmt_43, negated_conjecture,
% 21.58/3.74 (( ssPv20_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) |
% 21.58/3.74 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 21.58/3.74 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 21.58/3.74 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 21.58/3.74 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 21.58/3.74 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 21.58/3.74 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 21.58/3.74 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 21.58/3.74 ( ~( ssPv20_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) )),
% 21.58/3.74 inference('cnf.neg', [status(esa)], [clause116])).
% 21.58/3.74 thf(zip_derived_cl428, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 21.58/3.74 X7 : $i, X8 : $i]:
% 21.58/3.74 ( (ssPv20_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 21.58/3.74 X7 @ X8)
% 21.58/3.74 | ~ (ssNder1_0)
% 21.58/3.74 | ~ (ssNder1_1r1 @ X0)
% 21.58/3.74 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 21.58/3.74 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 21.58/3.74 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 21.58/3.74 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 21.58/3.74 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 21.58/3.74 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 21.58/3.74 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 21.58/3.74 X7)
% 21.58/3.74 | ~ (ssPv20_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7))),
% 21.58/3.74 inference('cnf', [status(esa)], [zf_stmt_43])).
% 21.58/3.74 thf(zip_derived_cl543, plain, ( (ssNder1_0)),
% 21.58/3.74 inference('cnf', [status(esa)], [zf_stmt_1])).
% 21.58/3.74 thf(zip_derived_cl549, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 21.58/3.74 inference('demod', [status(thm)], [zip_derived_cl542, zip_derived_cl543])).
% 21.58/3.74 thf(zip_derived_cl550, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl541, zip_derived_cl543, zip_derived_cl549])).
% 21.58/3.74 thf(zip_derived_cl556, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl535, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550])).
% 21.58/3.74 thf(zip_derived_cl574, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 21.58/3.74 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl526, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556])).
% 21.58/3.74 thf(zip_derived_cl595, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 21.58/3.74 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl512, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574])).
% 21.58/3.74 thf(zip_derived_cl619, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 21.58/3.74 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl497, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.74 zip_derived_cl595])).
% 21.58/3.74 thf(zip_derived_cl646, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 21.58/3.74 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl480, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.74 zip_derived_cl595, zip_derived_cl619])).
% 21.58/3.74 thf(zip_derived_cl677, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 21.58/3.74 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl461, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.74 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646])).
% 21.58/3.74 thf(zip_derived_cl761, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 21.58/3.74 X7 : $i, X8 : $i]:
% 21.58/3.74 ( (ssPv20_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 21.58/3.74 X7 @ X8)
% 21.58/3.74 | ~ (ssPv20_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7))),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl428, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.74 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 21.58/3.74 zip_derived_cl677])).
% 21.58/3.74 thf(clause91, conjecture,
% 21.58/3.74 (~( ( ssPv20_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) |
% 21.58/3.74 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 21.58/3.74 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 21.58/3.74 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 21.58/3.74 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 21.58/3.74 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 21.58/3.74 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 21.58/3.74 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 21.58/3.74 ( ~( ssPv20_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) ))).
% 21.58/3.74 thf(zf_stmt_44, negated_conjecture,
% 21.58/3.74 (( ssPv20_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) |
% 21.58/3.74 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 21.58/3.74 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 21.58/3.74 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 21.58/3.74 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 21.58/3.74 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 21.58/3.74 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 21.58/3.74 ( ~( ssPv20_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) )),
% 21.58/3.74 inference('cnf.neg', [status(esa)], [clause91])).
% 21.58/3.74 thf(zip_derived_cl453, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 21.58/3.74 ( (ssPv20_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)
% 21.58/3.74 | ~ (ssNder1_0)
% 21.58/3.74 | ~ (ssNder1_1r1 @ X0)
% 21.58/3.74 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 21.58/3.74 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 21.58/3.74 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 21.58/3.74 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 21.58/3.74 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 21.58/3.74 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 21.58/3.74 | ~ (ssPv20_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6))),
% 21.58/3.74 inference('cnf', [status(esa)], [zf_stmt_44])).
% 21.58/3.74 thf(zip_derived_cl543, plain, ( (ssNder1_0)),
% 21.58/3.74 inference('cnf', [status(esa)], [zf_stmt_1])).
% 21.58/3.74 thf(zip_derived_cl549, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 21.58/3.74 inference('demod', [status(thm)], [zip_derived_cl542, zip_derived_cl543])).
% 21.58/3.74 thf(zip_derived_cl550, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl541, zip_derived_cl543, zip_derived_cl549])).
% 21.58/3.74 thf(zip_derived_cl556, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl535, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550])).
% 21.58/3.74 thf(zip_derived_cl574, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 21.58/3.74 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl526, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556])).
% 21.58/3.74 thf(zip_derived_cl595, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 21.58/3.74 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl512, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574])).
% 21.58/3.74 thf(zip_derived_cl619, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 21.58/3.74 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl497, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.74 zip_derived_cl595])).
% 21.58/3.74 thf(zip_derived_cl646, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 21.58/3.74 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl480, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.74 zip_derived_cl595, zip_derived_cl619])).
% 21.58/3.74 thf(zip_derived_cl709, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 21.58/3.74 ( (ssPv20_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)
% 21.58/3.74 | ~ (ssPv20_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6))),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl453, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.74 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646])).
% 21.58/3.74 thf(clause82, conjecture,
% 21.58/3.74 (~( ( ssPv20_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) |
% 21.58/3.74 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 21.58/3.74 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 21.58/3.74 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 21.58/3.74 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 21.58/3.74 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 21.58/3.74 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 21.58/3.74 ( ~( ssPv20_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) ))).
% 21.58/3.74 thf(zf_stmt_45, negated_conjecture,
% 21.58/3.74 (( ssPv20_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) |
% 21.58/3.74 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 21.58/3.74 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 21.58/3.74 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 21.58/3.74 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 21.58/3.74 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 21.58/3.74 ( ~( ssPv20_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) )),
% 21.58/3.74 inference('cnf.neg', [status(esa)], [clause82])).
% 21.58/3.74 thf(zip_derived_cl462, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 21.58/3.74 ( (ssPv20_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 21.58/3.74 | ~ (ssNder1_0)
% 21.58/3.74 | ~ (ssNder1_1r1 @ X0)
% 21.58/3.74 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 21.58/3.74 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 21.58/3.74 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 21.58/3.74 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 21.58/3.74 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 21.58/3.74 | ~ (ssPv20_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5))),
% 21.58/3.74 inference('cnf', [status(esa)], [zf_stmt_45])).
% 21.58/3.74 thf(zip_derived_cl543, plain, ( (ssNder1_0)),
% 21.58/3.74 inference('cnf', [status(esa)], [zf_stmt_1])).
% 21.58/3.74 thf(zip_derived_cl549, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 21.58/3.74 inference('demod', [status(thm)], [zip_derived_cl542, zip_derived_cl543])).
% 21.58/3.74 thf(zip_derived_cl550, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl541, zip_derived_cl543, zip_derived_cl549])).
% 21.58/3.74 thf(zip_derived_cl556, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl535, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550])).
% 21.58/3.74 thf(zip_derived_cl574, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 21.58/3.74 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl526, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556])).
% 21.58/3.74 thf(zip_derived_cl595, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 21.58/3.74 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl512, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574])).
% 21.58/3.74 thf(zip_derived_cl619, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 21.58/3.74 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl497, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.74 zip_derived_cl595])).
% 21.58/3.74 thf(zip_derived_cl665, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 21.58/3.74 ( (ssPv20_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 21.58/3.74 | ~ (ssPv20_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5))),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl462, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.74 zip_derived_cl595, zip_derived_cl619])).
% 21.58/3.74 thf(zip_derived_cl628, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 21.58/3.74 (ssPv14_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ skc26)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl495, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.74 zip_derived_cl595])).
% 21.58/3.74 thf(zip_derived_cl697, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 21.58/3.74 ( (ssPv14_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)
% 21.58/3.74 | ~ (ssPv14_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6))),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl447, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.74 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646])).
% 21.58/3.74 thf(zip_derived_cl736, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 21.58/3.74 X7 : $i, X8 : $i]:
% 21.58/3.74 ( (ssPv14_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 21.58/3.74 X7 @ X8)
% 21.58/3.74 | ~ (ssPv14_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7))),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl422, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.74 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 21.58/3.74 zip_derived_cl677])).
% 21.58/3.74 thf(zip_derived_cl792, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 21.58/3.74 X7 : $i, X8 : $i, X9 : $i]:
% 21.58/3.74 ( (ssPv14_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 21.58/3.74 X7 @ X8 @ X9)
% 21.58/3.74 | ~ (ssPv14_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 21.58/3.74 X7 @ X8))),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl393, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.74 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 21.58/3.74 zip_derived_cl677, zip_derived_cl711])).
% 21.58/3.74 thf(zip_derived_cl847, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 21.58/3.74 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 21.58/3.74 ( (ssPv14_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 21.58/3.74 X6 @ X7 @ X8 @ X9 @ X10)
% 21.58/3.74 | ~ (ssPv14_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 21.58/3.74 X6 @ X7 @ X8 @ X9))),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl380, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.74 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 21.58/3.74 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763])).
% 21.58/3.74 thf(clause182, conjecture,
% 21.58/3.74 (~( ( ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ skc22 ) |
% 21.58/3.74 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 21.58/3.74 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 21.58/3.74 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 21.58/3.74 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 21.58/3.74 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 21.58/3.74 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 21.58/3.74 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 21.58/3.74 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 21.58/3.74 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 21.58/3.74 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 21.58/3.74 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) ))).
% 21.58/3.74 thf(zf_stmt_46, negated_conjecture,
% 21.58/3.74 (( ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ skc22 ) |
% 21.58/3.74 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 21.58/3.74 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 21.58/3.74 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 21.58/3.74 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 21.58/3.74 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 21.58/3.74 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 21.58/3.74 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 21.58/3.74 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 21.58/3.74 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 21.58/3.74 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) )),
% 21.58/3.74 inference('cnf.neg', [status(esa)], [clause182])).
% 21.58/3.74 thf(zip_derived_cl362, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 21.58/3.74 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 21.58/3.74 ( (ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 21.58/3.74 X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ skc22)
% 21.58/3.74 | ~ (ssNder1_0)
% 21.58/3.74 | ~ (ssNder1_1r1 @ X0)
% 21.58/3.74 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 21.58/3.74 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 21.58/3.74 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 21.58/3.74 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 21.58/3.74 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 21.58/3.74 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 21.58/3.74 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 21.58/3.74 X7)
% 21.58/3.74 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 21.58/3.74 X6 @ X7 @ X8)
% 21.58/3.74 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 21.58/3.74 X6 @ X7 @ X8 @ X9)
% 21.58/3.74 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 21.58/3.74 X5 @ X6 @ X7 @ X8 @ X9 @ X10))),
% 21.58/3.74 inference('cnf', [status(esa)], [zf_stmt_46])).
% 21.58/3.74 thf(zip_derived_cl543, plain, ( (ssNder1_0)),
% 21.58/3.74 inference('cnf', [status(esa)], [zf_stmt_1])).
% 21.58/3.74 thf(zip_derived_cl549, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 21.58/3.74 inference('demod', [status(thm)], [zip_derived_cl542, zip_derived_cl543])).
% 21.58/3.74 thf(zip_derived_cl550, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl541, zip_derived_cl543, zip_derived_cl549])).
% 21.58/3.74 thf(zip_derived_cl556, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl535, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550])).
% 21.58/3.74 thf(zip_derived_cl574, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 21.58/3.74 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl526, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556])).
% 21.58/3.74 thf(zip_derived_cl595, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 21.58/3.74 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl512, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574])).
% 21.58/3.74 thf(zip_derived_cl619, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 21.58/3.74 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl497, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.74 zip_derived_cl595])).
% 21.58/3.74 thf(zip_derived_cl646, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 21.58/3.74 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl480, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.74 zip_derived_cl595, zip_derived_cl619])).
% 21.58/3.74 thf(zip_derived_cl677, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 21.58/3.74 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl461, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.74 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646])).
% 21.58/3.74 thf(zip_derived_cl711, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 21.58/3.74 X7 : $i, X8 : $i]:
% 21.58/3.74 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 21.58/3.74 X7 @ X8)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl439, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.74 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 21.58/3.74 zip_derived_cl677])).
% 21.58/3.74 thf(zip_derived_cl763, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 21.58/3.74 X7 : $i, X8 : $i, X9 : $i]:
% 21.58/3.74 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 21.58/3.74 X7 @ X8 @ X9)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl413, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.74 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 21.58/3.74 zip_derived_cl677, zip_derived_cl711])).
% 21.58/3.74 thf(zip_derived_cl807, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 21.58/3.74 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 21.58/3.74 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 21.58/3.74 X6 @ X7 @ X8 @ X9 @ X10)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl390, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.74 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 21.58/3.74 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763])).
% 21.58/3.74 thf(zip_derived_cl869, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 21.58/3.74 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 21.58/3.74 (ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 21.58/3.74 X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ skc22)),
% 21.58/3.74 inference('demod', [status(thm)],
% 21.58/3.74 [zip_derived_cl362, zip_derived_cl543, zip_derived_cl549,
% 21.58/3.74 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 21.58/3.74 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 21.58/3.74 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763,
% 21.58/3.74 zip_derived_cl807])).
% 21.58/3.74 thf(clause270, conjecture,
% 21.58/3.74 (~( ( ssPv8_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) |
% 21.58/3.74 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 21.58/3.74 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 21.58/3.74 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 21.58/3.74 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 21.58/3.74 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 21.58/3.74 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 21.58/3.74 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 21.58/3.74 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 21.58/3.74 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 21.58/3.74 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 21.58/3.74 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 21.58/3.74 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 21.58/3.74 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 21.58/3.74 ( ~( ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) ))).
% 21.58/3.74 thf(zf_stmt_47, negated_conjecture,
% 21.58/3.74 (( ssPv8_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) |
% 21.58/3.74 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 21.58/3.74 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 21.58/3.74 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 21.58/3.74 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 21.58/3.74 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 21.58/3.74 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 21.58/3.74 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 21.58/3.74 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 21.58/3.74 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 21.58/3.74 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 21.58/3.74 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 21.58/3.74 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 21.58/3.74 ( ~( ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 21.58/3.74 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) )),
% 21.58/3.74 inference('cnf.neg', [status(esa)], [clause270])).
% 21.58/3.74 thf(zip_derived_cl274, plain,
% 21.58/3.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 21.58/3.74 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 21.58/3.74 ( (ssPv8_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 21.58/3.74 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 21.58/3.74 | ~ (ssNder1_0)
% 21.58/3.74 | ~ (ssNder1_1r1 @ X0)
% 21.58/3.74 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 21.58/3.74 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 21.58/3.74 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 21.58/3.74 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 22.06/3.75 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 22.06/3.75 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 22.06/3.75 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.75 X7)
% 22.06/3.75 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.75 X6 @ X7 @ X8)
% 22.06/3.75 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.75 X6 @ X7 @ X8 @ X9)
% 22.06/3.75 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.75 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 22.06/3.75 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.75 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 22.06/3.75 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.75 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 22.06/3.75 | ~ (ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.75 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12))),
% 22.06/3.75 inference('cnf', [status(esa)], [zf_stmt_47])).
% 22.06/3.75 thf(zip_derived_cl543, plain, ( (ssNder1_0)),
% 22.06/3.75 inference('cnf', [status(esa)], [zf_stmt_1])).
% 22.06/3.75 thf(zip_derived_cl549, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 22.06/3.75 inference('demod', [status(thm)], [zip_derived_cl542, zip_derived_cl543])).
% 22.06/3.75 thf(zip_derived_cl550, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl541, zip_derived_cl543, zip_derived_cl549])).
% 22.06/3.75 thf(zip_derived_cl556, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl535, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550])).
% 22.06/3.75 thf(zip_derived_cl574, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 22.06/3.75 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl526, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556])).
% 22.06/3.75 thf(zip_derived_cl595, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 22.06/3.75 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl512, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574])).
% 22.06/3.75 thf(zip_derived_cl619, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 22.06/3.75 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl497, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595])).
% 22.06/3.75 thf(zip_derived_cl646, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 22.06/3.75 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl480, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595, zip_derived_cl619])).
% 22.06/3.75 thf(zip_derived_cl677, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 22.06/3.75 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl461, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646])).
% 22.06/3.75 thf(zip_derived_cl711, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.75 X7 : $i, X8 : $i]:
% 22.06/3.75 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.75 X7 @ X8)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl439, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.75 zip_derived_cl677])).
% 22.06/3.75 thf(zip_derived_cl763, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.75 X7 : $i, X8 : $i, X9 : $i]:
% 22.06/3.75 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.75 X7 @ X8 @ X9)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl413, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.75 zip_derived_cl677, zip_derived_cl711])).
% 22.06/3.75 thf(zip_derived_cl807, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.75 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 22.06/3.75 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.75 X6 @ X7 @ X8 @ X9 @ X10)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl390, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.75 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763])).
% 22.06/3.75 thf(zip_derived_cl857, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.75 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 22.06/3.75 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.75 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl363, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.75 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763,
% 22.06/3.75 zip_derived_cl807])).
% 22.06/3.75 thf(zip_derived_cl911, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.75 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 22.06/3.75 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.75 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl334, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.75 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763,
% 22.06/3.75 zip_derived_cl807, zip_derived_cl857])).
% 22.06/3.75 thf(zip_derived_cl1013, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.75 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 22.06/3.75 ( (ssPv8_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.75 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 22.06/3.75 | ~ (ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.75 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12))),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl274, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.75 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763,
% 22.06/3.75 zip_derived_cl807, zip_derived_cl857, zip_derived_cl911])).
% 22.06/3.75 thf(clause318, conjecture,
% 22.06/3.75 (~( ( ssPv8_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) |
% 22.06/3.75 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 22.06/3.75 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 22.06/3.75 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 22.06/3.75 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 22.06/3.75 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 22.06/3.75 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 22.06/3.75 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 22.06/3.75 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 22.06/3.75 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 22.06/3.75 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 22.06/3.75 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 22.06/3.75 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 22.06/3.75 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 22.06/3.75 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 22.06/3.75 ( ~( ssPv8_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) ))).
% 22.06/3.75 thf(zf_stmt_48, negated_conjecture,
% 22.06/3.75 (( ssPv8_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) |
% 22.06/3.75 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 22.06/3.75 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 22.06/3.75 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 22.06/3.75 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 22.06/3.75 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 22.06/3.75 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 22.06/3.75 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 22.06/3.75 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 22.06/3.75 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 22.06/3.75 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 22.06/3.75 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 22.06/3.75 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 22.06/3.75 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 22.06/3.75 ( ~( ssPv8_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) )),
% 22.06/3.75 inference('cnf.neg', [status(esa)], [clause318])).
% 22.06/3.75 thf(zip_derived_cl226, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.75 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 22.06/3.75 X14 : $i]:
% 22.06/3.75 ( (ssPv8_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.75 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 22.06/3.75 | ~ (ssNder1_0)
% 22.06/3.75 | ~ (ssNder1_1r1 @ X0)
% 22.06/3.75 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 22.06/3.75 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 22.06/3.75 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 22.06/3.75 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 22.06/3.75 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 22.06/3.75 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 22.06/3.75 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.75 X7)
% 22.06/3.75 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.75 X6 @ X7 @ X8)
% 22.06/3.75 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.75 X6 @ X7 @ X8 @ X9)
% 22.06/3.75 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.75 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 22.06/3.75 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.75 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 22.06/3.75 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.75 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 22.06/3.75 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 22.06/3.75 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 22.06/3.75 | ~ (ssPv8_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.75 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13))),
% 22.06/3.75 inference('cnf', [status(esa)], [zf_stmt_48])).
% 22.06/3.75 thf(zip_derived_cl543, plain, ( (ssNder1_0)),
% 22.06/3.75 inference('cnf', [status(esa)], [zf_stmt_1])).
% 22.06/3.75 thf(zip_derived_cl549, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 22.06/3.75 inference('demod', [status(thm)], [zip_derived_cl542, zip_derived_cl543])).
% 22.06/3.75 thf(zip_derived_cl550, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl541, zip_derived_cl543, zip_derived_cl549])).
% 22.06/3.75 thf(zip_derived_cl556, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl535, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550])).
% 22.06/3.75 thf(zip_derived_cl574, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 22.06/3.75 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl526, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556])).
% 22.06/3.75 thf(zip_derived_cl595, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 22.06/3.75 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl512, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574])).
% 22.06/3.75 thf(zip_derived_cl619, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 22.06/3.75 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl497, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595])).
% 22.06/3.75 thf(zip_derived_cl646, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 22.06/3.75 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl480, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595, zip_derived_cl619])).
% 22.06/3.75 thf(zip_derived_cl677, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 22.06/3.75 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl461, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646])).
% 22.06/3.75 thf(zip_derived_cl711, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.75 X7 : $i, X8 : $i]:
% 22.06/3.75 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.75 X7 @ X8)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl439, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.75 zip_derived_cl677])).
% 22.06/3.75 thf(zip_derived_cl763, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.75 X7 : $i, X8 : $i, X9 : $i]:
% 22.06/3.75 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.75 X7 @ X8 @ X9)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl413, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.75 zip_derived_cl677, zip_derived_cl711])).
% 22.06/3.75 thf(zip_derived_cl807, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.75 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 22.06/3.75 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.75 X6 @ X7 @ X8 @ X9 @ X10)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl390, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.75 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763])).
% 22.06/3.75 thf(zip_derived_cl857, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.75 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 22.06/3.75 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.75 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl363, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.75 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763,
% 22.06/3.75 zip_derived_cl807])).
% 22.06/3.75 thf(zip_derived_cl911, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.75 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 22.06/3.75 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.75 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl334, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.75 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763,
% 22.06/3.75 zip_derived_cl807, zip_derived_cl857])).
% 22.06/3.75 thf(zip_derived_cl969, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.75 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 22.06/3.75 (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.75 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl300, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.75 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763,
% 22.06/3.75 zip_derived_cl807, zip_derived_cl857, zip_derived_cl911])).
% 22.06/3.75 thf(zip_derived_cl1125, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.75 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 22.06/3.75 X14 : $i]:
% 22.06/3.75 ( (ssPv8_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.75 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 22.06/3.75 | ~ (ssPv8_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.75 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13))),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl226, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.75 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763,
% 22.06/3.75 zip_derived_cl807, zip_derived_cl857, zip_derived_cl911,
% 22.06/3.75 zip_derived_cl969])).
% 22.06/3.75 thf(clause245, conjecture,
% 22.06/3.75 (~( ( ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ skc18 ) |
% 22.06/3.75 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 22.06/3.75 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 22.06/3.75 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 22.06/3.75 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 22.06/3.75 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 22.06/3.75 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 22.06/3.75 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 22.06/3.75 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 22.06/3.75 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 22.06/3.75 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 22.06/3.75 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 22.06/3.75 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 22.06/3.75 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) ))).
% 22.06/3.75 thf(zf_stmt_49, negated_conjecture,
% 22.06/3.75 (( ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ skc18 ) |
% 22.06/3.75 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 22.06/3.75 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 22.06/3.75 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 22.06/3.75 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 22.06/3.75 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 22.06/3.75 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 22.06/3.75 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 22.06/3.75 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 22.06/3.75 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 22.06/3.75 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 22.06/3.75 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 22.06/3.75 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) )),
% 22.06/3.75 inference('cnf.neg', [status(esa)], [clause245])).
% 22.06/3.75 thf(zip_derived_cl299, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.75 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 22.06/3.75 ( (ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.75 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ skc18)
% 22.06/3.75 | ~ (ssNder1_0)
% 22.06/3.75 | ~ (ssNder1_1r1 @ X0)
% 22.06/3.75 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 22.06/3.75 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 22.06/3.75 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 22.06/3.75 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 22.06/3.75 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 22.06/3.75 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 22.06/3.75 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.75 X7)
% 22.06/3.75 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.75 X6 @ X7 @ X8)
% 22.06/3.75 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.75 X6 @ X7 @ X8 @ X9)
% 22.06/3.75 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.75 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 22.06/3.75 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.75 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 22.06/3.75 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.75 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12))),
% 22.06/3.75 inference('cnf', [status(esa)], [zf_stmt_49])).
% 22.06/3.75 thf(zip_derived_cl543, plain, ( (ssNder1_0)),
% 22.06/3.75 inference('cnf', [status(esa)], [zf_stmt_1])).
% 22.06/3.75 thf(zip_derived_cl549, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 22.06/3.75 inference('demod', [status(thm)], [zip_derived_cl542, zip_derived_cl543])).
% 22.06/3.75 thf(zip_derived_cl550, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl541, zip_derived_cl543, zip_derived_cl549])).
% 22.06/3.75 thf(zip_derived_cl556, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl535, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550])).
% 22.06/3.75 thf(zip_derived_cl574, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 22.06/3.75 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl526, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556])).
% 22.06/3.75 thf(zip_derived_cl595, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 22.06/3.75 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl512, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574])).
% 22.06/3.75 thf(zip_derived_cl619, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 22.06/3.75 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl497, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595])).
% 22.06/3.75 thf(zip_derived_cl646, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 22.06/3.75 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl480, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595, zip_derived_cl619])).
% 22.06/3.75 thf(zip_derived_cl677, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 22.06/3.75 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl461, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646])).
% 22.06/3.75 thf(zip_derived_cl711, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.75 X7 : $i, X8 : $i]:
% 22.06/3.75 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.75 X7 @ X8)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl439, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.75 zip_derived_cl677])).
% 22.06/3.75 thf(zip_derived_cl763, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.75 X7 : $i, X8 : $i, X9 : $i]:
% 22.06/3.75 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.75 X7 @ X8 @ X9)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl413, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.75 zip_derived_cl677, zip_derived_cl711])).
% 22.06/3.75 thf(zip_derived_cl807, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.75 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 22.06/3.75 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.75 X6 @ X7 @ X8 @ X9 @ X10)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl390, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.75 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763])).
% 22.06/3.75 thf(zip_derived_cl857, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.75 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 22.06/3.75 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.75 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl363, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.75 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763,
% 22.06/3.75 zip_derived_cl807])).
% 22.06/3.75 thf(zip_derived_cl911, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.75 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 22.06/3.75 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.75 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl334, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.75 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763,
% 22.06/3.75 zip_derived_cl807, zip_derived_cl857])).
% 22.06/3.75 thf(zip_derived_cl977, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.75 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 22.06/3.75 (ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.75 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ skc18)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl299, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.75 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763,
% 22.06/3.75 zip_derived_cl807, zip_derived_cl857, zip_derived_cl911])).
% 22.06/3.75 thf(clause368, conjecture,
% 22.06/3.75 (~( ( ssPv20_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) |
% 22.06/3.75 ( ssPv9_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) |
% 22.06/3.75 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 22.06/3.75 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 22.06/3.75 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 22.06/3.75 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 22.06/3.75 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 22.06/3.75 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 22.06/3.75 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 22.06/3.75 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 22.06/3.75 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 22.06/3.75 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 22.06/3.75 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 22.06/3.75 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 22.06/3.75 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 22.06/3.75 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 22.06/3.75 ( ~( ssPv8_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 22.06/3.75 ( ~( ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) ))).
% 22.06/3.75 thf(zf_stmt_50, negated_conjecture,
% 22.06/3.75 (( ssPv20_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) |
% 22.06/3.75 ( ssPv9_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) |
% 22.06/3.75 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 22.06/3.75 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 22.06/3.75 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 22.06/3.75 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 22.06/3.75 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 22.06/3.75 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 22.06/3.75 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 22.06/3.75 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 22.06/3.75 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 22.06/3.75 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 22.06/3.75 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 22.06/3.75 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 22.06/3.75 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 22.06/3.75 ( ~( ssPv8_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 22.06/3.75 ( ~( ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) )),
% 22.06/3.75 inference('cnf.neg', [status(esa)], [clause368])).
% 22.06/3.75 thf(zip_derived_cl176, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.75 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 22.06/3.75 X14 : $i]:
% 22.06/3.75 ( (ssPv20_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.75 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 22.06/3.75 | (ssPv9_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 22.06/3.75 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 22.06/3.75 | ~ (ssNder1_0)
% 22.06/3.75 | ~ (ssNder1_1r1 @ X0)
% 22.06/3.75 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 22.06/3.75 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 22.06/3.75 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 22.06/3.75 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 22.06/3.75 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 22.06/3.75 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 22.06/3.75 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.75 X7)
% 22.06/3.75 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.75 X6 @ X7 @ X8)
% 22.06/3.75 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.75 X6 @ X7 @ X8 @ X9)
% 22.06/3.75 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.75 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 22.06/3.75 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.75 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 22.06/3.75 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.75 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 22.06/3.75 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 22.06/3.75 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 22.06/3.75 | ~ (ssPv8_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 22.06/3.75 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 22.06/3.75 | ~ (ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 22.06/3.75 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14))),
% 22.06/3.75 inference('cnf', [status(esa)], [zf_stmt_50])).
% 22.06/3.75 thf(zip_derived_cl543, plain, ( (ssNder1_0)),
% 22.06/3.75 inference('cnf', [status(esa)], [zf_stmt_1])).
% 22.06/3.75 thf(zip_derived_cl549, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 22.06/3.75 inference('demod', [status(thm)], [zip_derived_cl542, zip_derived_cl543])).
% 22.06/3.75 thf(zip_derived_cl550, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl541, zip_derived_cl543, zip_derived_cl549])).
% 22.06/3.75 thf(zip_derived_cl556, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl535, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550])).
% 22.06/3.75 thf(zip_derived_cl574, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 22.06/3.75 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl526, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556])).
% 22.06/3.75 thf(zip_derived_cl595, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 22.06/3.75 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl512, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574])).
% 22.06/3.75 thf(zip_derived_cl619, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 22.06/3.75 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl497, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595])).
% 22.06/3.75 thf(zip_derived_cl646, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 22.06/3.75 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl480, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595, zip_derived_cl619])).
% 22.06/3.75 thf(zip_derived_cl677, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 22.06/3.75 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl461, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646])).
% 22.06/3.75 thf(zip_derived_cl711, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.75 X7 : $i, X8 : $i]:
% 22.06/3.75 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.75 X7 @ X8)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl439, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.75 zip_derived_cl677])).
% 22.06/3.75 thf(zip_derived_cl763, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.75 X7 : $i, X8 : $i, X9 : $i]:
% 22.06/3.75 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.75 X7 @ X8 @ X9)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl413, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.75 zip_derived_cl677, zip_derived_cl711])).
% 22.06/3.75 thf(zip_derived_cl807, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.75 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 22.06/3.75 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.75 X6 @ X7 @ X8 @ X9 @ X10)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl390, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.75 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763])).
% 22.06/3.75 thf(zip_derived_cl857, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.75 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 22.06/3.75 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.75 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl363, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.75 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763,
% 22.06/3.75 zip_derived_cl807])).
% 22.06/3.75 thf(zip_derived_cl911, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.75 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 22.06/3.75 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.75 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl334, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.75 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763,
% 22.06/3.75 zip_derived_cl807, zip_derived_cl857])).
% 22.06/3.75 thf(zip_derived_cl969, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.75 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 22.06/3.75 (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.75 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl300, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.75 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763,
% 22.06/3.75 zip_derived_cl807, zip_derived_cl857, zip_derived_cl911])).
% 22.06/3.75 thf(zip_derived_cl1759, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.75 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 22.06/3.75 X14 : $i]:
% 22.06/3.75 ( (ssPv20_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.75 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 22.06/3.75 | (ssPv9_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 22.06/3.75 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 22.06/3.75 | ~ (ssPv8_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 22.06/3.75 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 22.06/3.75 | ~ (ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 22.06/3.75 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14))),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl176, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.75 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763,
% 22.06/3.75 zip_derived_cl807, zip_derived_cl857, zip_derived_cl911,
% 22.06/3.75 zip_derived_cl969])).
% 22.06/3.75 thf(clause320, conjecture,
% 22.06/3.75 (~( ( ssPv20_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) |
% 22.06/3.75 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 22.06/3.75 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 22.06/3.75 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 22.06/3.75 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 22.06/3.75 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 22.06/3.75 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 22.06/3.75 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 22.06/3.75 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 22.06/3.75 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 22.06/3.75 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 22.06/3.75 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 22.06/3.75 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 22.06/3.75 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 22.06/3.75 ( ~( ssPv20_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 22.06/3.75 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) ))).
% 22.06/3.75 thf(zf_stmt_51, negated_conjecture,
% 22.06/3.75 (( ssPv20_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) |
% 22.06/3.75 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 22.06/3.75 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 22.06/3.75 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 22.06/3.75 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 22.06/3.75 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 22.06/3.75 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 22.06/3.75 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 22.06/3.75 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 22.06/3.75 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 22.06/3.75 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 22.06/3.75 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 22.06/3.75 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 22.06/3.75 ( ~( ssPv20_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 22.06/3.75 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) )),
% 22.06/3.75 inference('cnf.neg', [status(esa)], [clause320])).
% 22.06/3.75 thf(zip_derived_cl224, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.75 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 22.06/3.75 X14 : $i]:
% 22.06/3.75 ( (ssPv20_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.75 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 22.06/3.75 | ~ (ssNder1_0)
% 22.06/3.75 | ~ (ssNder1_1r1 @ X0)
% 22.06/3.75 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 22.06/3.75 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 22.06/3.75 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 22.06/3.75 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 22.06/3.75 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 22.06/3.75 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 22.06/3.75 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.75 X7)
% 22.06/3.75 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.75 X6 @ X7 @ X8)
% 22.06/3.75 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.75 X6 @ X7 @ X8 @ X9)
% 22.06/3.75 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.75 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 22.06/3.75 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.75 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 22.06/3.75 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.75 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 22.06/3.75 | ~ (ssPv20_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 22.06/3.75 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 22.06/3.75 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 22.06/3.75 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13))),
% 22.06/3.75 inference('cnf', [status(esa)], [zf_stmt_51])).
% 22.06/3.75 thf(zip_derived_cl543, plain, ( (ssNder1_0)),
% 22.06/3.75 inference('cnf', [status(esa)], [zf_stmt_1])).
% 22.06/3.75 thf(zip_derived_cl549, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 22.06/3.75 inference('demod', [status(thm)], [zip_derived_cl542, zip_derived_cl543])).
% 22.06/3.75 thf(zip_derived_cl550, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl541, zip_derived_cl543, zip_derived_cl549])).
% 22.06/3.75 thf(zip_derived_cl556, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl535, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550])).
% 22.06/3.75 thf(zip_derived_cl574, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 22.06/3.75 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl526, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556])).
% 22.06/3.75 thf(zip_derived_cl595, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 22.06/3.75 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl512, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574])).
% 22.06/3.75 thf(zip_derived_cl619, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 22.06/3.75 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl497, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595])).
% 22.06/3.75 thf(zip_derived_cl646, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 22.06/3.75 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl480, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595, zip_derived_cl619])).
% 22.06/3.75 thf(zip_derived_cl677, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 22.06/3.75 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl461, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646])).
% 22.06/3.75 thf(zip_derived_cl711, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.75 X7 : $i, X8 : $i]:
% 22.06/3.75 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.75 X7 @ X8)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl439, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.75 zip_derived_cl677])).
% 22.06/3.75 thf(zip_derived_cl763, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.75 X7 : $i, X8 : $i, X9 : $i]:
% 22.06/3.75 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.75 X7 @ X8 @ X9)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl413, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.75 zip_derived_cl677, zip_derived_cl711])).
% 22.06/3.75 thf(zip_derived_cl807, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.75 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 22.06/3.75 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.75 X6 @ X7 @ X8 @ X9 @ X10)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl390, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.75 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763])).
% 22.06/3.75 thf(zip_derived_cl857, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.75 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 22.06/3.75 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.75 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl363, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.75 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763,
% 22.06/3.75 zip_derived_cl807])).
% 22.06/3.75 thf(zip_derived_cl911, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.75 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 22.06/3.75 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.75 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl334, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.75 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763,
% 22.06/3.75 zip_derived_cl807, zip_derived_cl857])).
% 22.06/3.75 thf(zip_derived_cl969, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.75 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 22.06/3.75 (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.75 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl300, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.75 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763,
% 22.06/3.75 zip_derived_cl807, zip_derived_cl857, zip_derived_cl911])).
% 22.06/3.75 thf(zip_derived_cl1090, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.75 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 22.06/3.75 X14 : $i]:
% 22.06/3.75 ( (ssPv20_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.75 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 22.06/3.75 | ~ (ssPv20_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 22.06/3.75 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14))),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl224, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.75 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763,
% 22.06/3.75 zip_derived_cl807, zip_derived_cl857, zip_derived_cl911,
% 22.06/3.75 zip_derived_cl969])).
% 22.06/3.75 thf(zip_derived_cl1760, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.75 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 22.06/3.75 X14 : $i]:
% 22.06/3.75 (~ (ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X14 @ X13 @ X12 @ X11 @
% 22.06/3.75 X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 22.06/3.75 | ~ (ssPv8_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X14 @ X13 @ X12 @
% 22.06/3.75 X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 22.06/3.75 | (ssPv9_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X14 @ X13 @ X12 @ X11 @
% 22.06/3.75 X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 22.06/3.75 | (ssPv20_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X14 @ X13 @ X12 @ X11 @
% 22.06/3.75 X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1))),
% 22.06/3.75 inference('sup-', [status(thm)], [zip_derived_cl1759, zip_derived_cl1090])).
% 22.06/3.75 thf(zip_derived_cl1761, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.75 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 22.06/3.75 ( (ssPv20_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X13 @ X12 @ X11 @ X10 @
% 22.06/3.75 X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 22.06/3.75 | (ssPv9_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X13 @ X12 @ X11 @ X10 @
% 22.06/3.75 X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ skc18)
% 22.06/3.75 | ~ (ssPv8_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X13 @ X12 @ X11 @
% 22.06/3.75 X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ skc18))),
% 22.06/3.75 inference('sup-', [status(thm)], [zip_derived_cl977, zip_derived_cl1760])).
% 22.06/3.75 thf(zip_derived_cl1762, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.75 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 22.06/3.75 (~ (ssPv8_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X13 @ X12 @ X11 @ X10 @
% 22.06/3.75 X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 22.06/3.75 | (ssPv9_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X13 @ X12 @ X11 @ X10 @
% 22.06/3.75 X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ skc18)
% 22.06/3.75 | (ssPv20_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X13 @ X12 @ X11 @ X10 @
% 22.06/3.75 X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0))),
% 22.06/3.75 inference('sup-', [status(thm)], [zip_derived_cl1125, zip_derived_cl1761])).
% 22.06/3.75 thf(clause303, conjecture,
% 22.06/3.75 (~( ( ssPv9_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) |
% 22.06/3.75 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 22.06/3.75 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 22.06/3.75 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 22.06/3.75 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 22.06/3.75 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 22.06/3.75 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 22.06/3.75 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 22.06/3.75 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 22.06/3.75 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 22.06/3.75 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 22.06/3.75 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 22.06/3.75 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 22.06/3.75 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 22.06/3.75 ( ~( ssPv9_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 22.06/3.75 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) ))).
% 22.06/3.75 thf(zf_stmt_52, negated_conjecture,
% 22.06/3.75 (( ssPv9_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) |
% 22.06/3.75 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 22.06/3.75 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 22.06/3.75 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 22.06/3.75 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 22.06/3.75 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 22.06/3.75 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 22.06/3.75 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 22.06/3.75 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 22.06/3.75 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 22.06/3.75 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 22.06/3.75 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 22.06/3.75 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 22.06/3.75 ( ~( ssPv9_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 22.06/3.75 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) )),
% 22.06/3.75 inference('cnf.neg', [status(esa)], [clause303])).
% 22.06/3.75 thf(zip_derived_cl241, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.75 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 22.06/3.75 X14 : $i]:
% 22.06/3.75 ( (ssPv9_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.75 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 22.06/3.75 | ~ (ssNder1_0)
% 22.06/3.75 | ~ (ssNder1_1r1 @ X0)
% 22.06/3.75 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 22.06/3.75 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 22.06/3.75 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 22.06/3.75 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 22.06/3.75 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 22.06/3.75 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 22.06/3.75 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.75 X7)
% 22.06/3.75 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.75 X6 @ X7 @ X8)
% 22.06/3.75 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.75 X6 @ X7 @ X8 @ X9)
% 22.06/3.75 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.75 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 22.06/3.75 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.75 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 22.06/3.75 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.75 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 22.06/3.75 | ~ (ssPv9_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 22.06/3.75 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 22.06/3.75 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 22.06/3.75 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13))),
% 22.06/3.75 inference('cnf', [status(esa)], [zf_stmt_52])).
% 22.06/3.75 thf(zip_derived_cl543, plain, ( (ssNder1_0)),
% 22.06/3.75 inference('cnf', [status(esa)], [zf_stmt_1])).
% 22.06/3.75 thf(zip_derived_cl549, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 22.06/3.75 inference('demod', [status(thm)], [zip_derived_cl542, zip_derived_cl543])).
% 22.06/3.75 thf(zip_derived_cl550, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl541, zip_derived_cl543, zip_derived_cl549])).
% 22.06/3.75 thf(zip_derived_cl556, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl535, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550])).
% 22.06/3.75 thf(zip_derived_cl574, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 22.06/3.75 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl526, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556])).
% 22.06/3.75 thf(zip_derived_cl595, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 22.06/3.75 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl512, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574])).
% 22.06/3.75 thf(zip_derived_cl619, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 22.06/3.75 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl497, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595])).
% 22.06/3.75 thf(zip_derived_cl646, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 22.06/3.75 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl480, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595, zip_derived_cl619])).
% 22.06/3.75 thf(zip_derived_cl677, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 22.06/3.75 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl461, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646])).
% 22.06/3.75 thf(zip_derived_cl711, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.75 X7 : $i, X8 : $i]:
% 22.06/3.75 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.75 X7 @ X8)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl439, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.75 zip_derived_cl677])).
% 22.06/3.75 thf(zip_derived_cl763, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.75 X7 : $i, X8 : $i, X9 : $i]:
% 22.06/3.75 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.75 X7 @ X8 @ X9)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl413, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.75 zip_derived_cl677, zip_derived_cl711])).
% 22.06/3.75 thf(zip_derived_cl807, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.75 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 22.06/3.75 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.75 X6 @ X7 @ X8 @ X9 @ X10)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl390, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.75 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763])).
% 22.06/3.75 thf(zip_derived_cl857, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.75 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 22.06/3.75 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.75 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl363, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.75 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763,
% 22.06/3.75 zip_derived_cl807])).
% 22.06/3.75 thf(zip_derived_cl911, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.75 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 22.06/3.75 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.75 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl334, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.75 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763,
% 22.06/3.75 zip_derived_cl807, zip_derived_cl857])).
% 22.06/3.75 thf(zip_derived_cl969, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.75 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 22.06/3.75 (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.75 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl300, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.75 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763,
% 22.06/3.75 zip_derived_cl807, zip_derived_cl857, zip_derived_cl911])).
% 22.06/3.75 thf(zip_derived_cl1112, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.75 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 22.06/3.75 X14 : $i]:
% 22.06/3.75 ( (ssPv9_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.75 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 22.06/3.75 | ~ (ssPv9_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 22.06/3.75 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14))),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl241, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.75 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763,
% 22.06/3.75 zip_derived_cl807, zip_derived_cl857, zip_derived_cl911,
% 22.06/3.75 zip_derived_cl969])).
% 22.06/3.75 thf(zip_derived_cl1763, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.75 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 22.06/3.75 ( (ssPv20_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X13 @ X12 @ X11 @ X10 @
% 22.06/3.75 X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 22.06/3.75 | ~ (ssPv8_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X13 @ X12 @ X11 @ X10 @
% 22.06/3.75 X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 22.06/3.75 | (ssPv9_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X13 @ X12 @ X11 @ X10 @
% 22.06/3.75 X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0))),
% 22.06/3.75 inference('sup-', [status(thm)], [zip_derived_cl1762, zip_derived_cl1112])).
% 22.06/3.75 thf(clause282, conjecture,
% 22.06/3.75 (~( ( ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) |
% 22.06/3.75 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 22.06/3.75 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 22.06/3.75 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 22.06/3.75 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 22.06/3.75 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 22.06/3.75 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 22.06/3.75 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 22.06/3.75 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 22.06/3.75 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 22.06/3.75 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 22.06/3.75 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 22.06/3.75 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 22.06/3.75 ( ~( ssPv9_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 22.06/3.75 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) ))).
% 22.06/3.75 thf(zf_stmt_53, negated_conjecture,
% 22.06/3.75 (( ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) |
% 22.06/3.75 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 22.06/3.75 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 22.06/3.75 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 22.06/3.75 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 22.06/3.75 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 22.06/3.75 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 22.06/3.75 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 22.06/3.75 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 22.06/3.75 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 22.06/3.75 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 22.06/3.75 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 22.06/3.75 ( ~( ssPv9_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 22.06/3.75 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) )),
% 22.06/3.75 inference('cnf.neg', [status(esa)], [clause282])).
% 22.06/3.75 thf(zip_derived_cl262, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.75 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 22.06/3.75 ( (ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.75 X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 22.06/3.75 | ~ (ssNder1_0)
% 22.06/3.75 | ~ (ssNder1_1r1 @ X0)
% 22.06/3.75 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 22.06/3.75 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 22.06/3.75 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 22.06/3.75 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 22.06/3.75 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 22.06/3.75 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 22.06/3.75 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.75 X7)
% 22.06/3.75 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.75 X6 @ X7 @ X8)
% 22.06/3.75 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.75 X6 @ X7 @ X8 @ X9)
% 22.06/3.75 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.75 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 22.06/3.75 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.75 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 22.06/3.75 | ~ (ssPv9_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.75 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 22.06/3.75 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.75 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12))),
% 22.06/3.75 inference('cnf', [status(esa)], [zf_stmt_53])).
% 22.06/3.75 thf(zip_derived_cl543, plain, ( (ssNder1_0)),
% 22.06/3.75 inference('cnf', [status(esa)], [zf_stmt_1])).
% 22.06/3.75 thf(zip_derived_cl549, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 22.06/3.75 inference('demod', [status(thm)], [zip_derived_cl542, zip_derived_cl543])).
% 22.06/3.75 thf(zip_derived_cl550, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl541, zip_derived_cl543, zip_derived_cl549])).
% 22.06/3.75 thf(zip_derived_cl556, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl535, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550])).
% 22.06/3.75 thf(zip_derived_cl574, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 22.06/3.75 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl526, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556])).
% 22.06/3.75 thf(zip_derived_cl595, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 22.06/3.75 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl512, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574])).
% 22.06/3.75 thf(zip_derived_cl619, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 22.06/3.75 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl497, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595])).
% 22.06/3.75 thf(zip_derived_cl646, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 22.06/3.75 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl480, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595, zip_derived_cl619])).
% 22.06/3.75 thf(zip_derived_cl677, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 22.06/3.75 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl461, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646])).
% 22.06/3.75 thf(zip_derived_cl711, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.75 X7 : $i, X8 : $i]:
% 22.06/3.75 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.75 X7 @ X8)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl439, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.75 zip_derived_cl677])).
% 22.06/3.75 thf(zip_derived_cl763, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.75 X7 : $i, X8 : $i, X9 : $i]:
% 22.06/3.75 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.75 X7 @ X8 @ X9)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl413, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.75 zip_derived_cl677, zip_derived_cl711])).
% 22.06/3.75 thf(zip_derived_cl807, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.75 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 22.06/3.75 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.75 X6 @ X7 @ X8 @ X9 @ X10)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl390, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.75 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763])).
% 22.06/3.75 thf(zip_derived_cl857, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.75 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 22.06/3.75 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.75 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl363, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.75 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763,
% 22.06/3.75 zip_derived_cl807])).
% 22.06/3.75 thf(zip_derived_cl911, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.75 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 22.06/3.75 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.75 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl334, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.75 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763,
% 22.06/3.75 zip_derived_cl807, zip_derived_cl857])).
% 22.06/3.75 thf(zip_derived_cl983, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.75 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 22.06/3.75 ( (ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.75 X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 22.06/3.75 | ~ (ssPv9_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.75 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13))),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl262, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.75 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763,
% 22.06/3.75 zip_derived_cl807, zip_derived_cl857, zip_derived_cl911])).
% 22.06/3.75 thf(zip_derived_cl1767, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.75 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 22.06/3.75 (~ (ssPv8_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X13 @ X12 @ X11 @ X10 @
% 22.06/3.75 X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 22.06/3.75 | (ssPv20_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X13 @ X12 @ X11 @ X10 @
% 22.06/3.75 X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 22.06/3.75 | (ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X13 @ X12 @ X11 @ X10 @
% 22.06/3.75 X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1))),
% 22.06/3.75 inference('sup-', [status(thm)], [zip_derived_cl1763, zip_derived_cl983])).
% 22.06/3.75 thf(clause271, conjecture,
% 22.06/3.75 (~( ( ssPv20_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) |
% 22.06/3.75 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 22.06/3.75 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 22.06/3.75 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 22.06/3.75 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 22.06/3.75 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 22.06/3.75 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 22.06/3.75 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 22.06/3.75 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 22.06/3.75 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 22.06/3.75 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 22.06/3.75 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 22.06/3.75 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 22.06/3.75 ( ~( ssPv20_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 22.06/3.75 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) ))).
% 22.06/3.75 thf(zf_stmt_54, negated_conjecture,
% 22.06/3.75 (( ssPv20_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) |
% 22.06/3.75 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 22.06/3.75 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 22.06/3.75 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 22.06/3.75 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 22.06/3.75 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 22.06/3.75 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 22.06/3.75 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 22.06/3.75 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 22.06/3.75 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 22.06/3.75 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 22.06/3.75 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 22.06/3.75 ( ~( ssPv20_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 22.06/3.75 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) )),
% 22.06/3.75 inference('cnf.neg', [status(esa)], [clause271])).
% 22.06/3.75 thf(zip_derived_cl273, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.75 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 22.06/3.75 ( (ssPv20_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.75 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 22.06/3.75 | ~ (ssNder1_0)
% 22.06/3.75 | ~ (ssNder1_1r1 @ X0)
% 22.06/3.75 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 22.06/3.75 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 22.06/3.75 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 22.06/3.75 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 22.06/3.75 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 22.06/3.75 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 22.06/3.75 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.75 X7)
% 22.06/3.75 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.75 X6 @ X7 @ X8)
% 22.06/3.75 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.75 X6 @ X7 @ X8 @ X9)
% 22.06/3.75 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.75 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 22.06/3.75 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.75 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 22.06/3.75 | ~ (ssPv20_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 22.06/3.75 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 22.06/3.75 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.75 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12))),
% 22.06/3.75 inference('cnf', [status(esa)], [zf_stmt_54])).
% 22.06/3.75 thf(zip_derived_cl543, plain, ( (ssNder1_0)),
% 22.06/3.75 inference('cnf', [status(esa)], [zf_stmt_1])).
% 22.06/3.75 thf(zip_derived_cl549, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 22.06/3.75 inference('demod', [status(thm)], [zip_derived_cl542, zip_derived_cl543])).
% 22.06/3.75 thf(zip_derived_cl550, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl541, zip_derived_cl543, zip_derived_cl549])).
% 22.06/3.75 thf(zip_derived_cl556, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl535, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550])).
% 22.06/3.75 thf(zip_derived_cl574, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 22.06/3.75 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl526, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556])).
% 22.06/3.75 thf(zip_derived_cl595, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 22.06/3.75 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl512, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574])).
% 22.06/3.75 thf(zip_derived_cl619, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 22.06/3.75 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl497, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595])).
% 22.06/3.75 thf(zip_derived_cl646, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 22.06/3.75 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl480, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595, zip_derived_cl619])).
% 22.06/3.75 thf(zip_derived_cl677, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 22.06/3.75 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl461, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646])).
% 22.06/3.75 thf(zip_derived_cl711, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.75 X7 : $i, X8 : $i]:
% 22.06/3.75 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.75 X7 @ X8)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl439, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.75 zip_derived_cl677])).
% 22.06/3.75 thf(zip_derived_cl763, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.75 X7 : $i, X8 : $i, X9 : $i]:
% 22.06/3.75 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.75 X7 @ X8 @ X9)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl413, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.75 zip_derived_cl677, zip_derived_cl711])).
% 22.06/3.75 thf(zip_derived_cl807, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.75 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 22.06/3.75 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.75 X6 @ X7 @ X8 @ X9 @ X10)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl390, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.75 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763])).
% 22.06/3.75 thf(zip_derived_cl857, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.75 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 22.06/3.75 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.75 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl363, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.75 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763,
% 22.06/3.75 zip_derived_cl807])).
% 22.06/3.75 thf(zip_derived_cl911, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.75 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 22.06/3.75 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.75 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl334, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.75 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763,
% 22.06/3.75 zip_derived_cl807, zip_derived_cl857])).
% 22.06/3.75 thf(zip_derived_cl1011, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.75 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 22.06/3.75 ( (ssPv20_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.75 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 22.06/3.75 | ~ (ssPv20_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 22.06/3.75 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13))),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl273, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.75 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763,
% 22.06/3.75 zip_derived_cl807, zip_derived_cl857, zip_derived_cl911])).
% 22.06/3.75 thf(zip_derived_cl1770, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.75 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 22.06/3.75 ( (ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X13 @ X12 @ X11 @ X10 @ X9 @
% 22.06/3.75 X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1)
% 22.06/3.75 | ~ (ssPv8_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X13 @ X12 @ X11 @ X10 @
% 22.06/3.75 X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 22.06/3.75 | (ssPv20_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X13 @ X12 @ X11 @ X10 @
% 22.06/3.75 X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1))),
% 22.06/3.75 inference('sup-', [status(thm)], [zip_derived_cl1767, zip_derived_cl1011])).
% 22.06/3.75 thf(zip_derived_cl1771, plain,
% 22.06/3.75 (![X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i,
% 22.06/3.75 X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 22.06/3.75 (~ (ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X13 @ X12 @ X11 @ X10 @ X9 @
% 22.06/3.75 X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1)
% 22.06/3.75 | (ssPv20_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X13 @ X12 @ X11 @ X10 @
% 22.06/3.75 X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1)
% 22.06/3.75 | (ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X13 @ X12 @ X11 @ X10 @
% 22.06/3.75 X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1))),
% 22.06/3.75 inference('sup-', [status(thm)], [zip_derived_cl1013, zip_derived_cl1770])).
% 22.06/3.75 thf(clause226, conjecture,
% 22.06/3.75 (~( ( ssPv20_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) |
% 22.06/3.75 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 22.06/3.75 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 22.06/3.75 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 22.06/3.75 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 22.06/3.75 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 22.06/3.75 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 22.06/3.75 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 22.06/3.75 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 22.06/3.75 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 22.06/3.75 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 22.06/3.75 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 22.06/3.75 ( ~( ssPv20_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 22.06/3.75 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) ))).
% 22.06/3.75 thf(zf_stmt_55, negated_conjecture,
% 22.06/3.75 (( ssPv20_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) |
% 22.06/3.75 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 22.06/3.75 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 22.06/3.75 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 22.06/3.75 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 22.06/3.75 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 22.06/3.75 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 22.06/3.75 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 22.06/3.75 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 22.06/3.75 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 22.06/3.75 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 22.06/3.75 ( ~( ssPv20_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 22.06/3.75 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) )),
% 22.06/3.75 inference('cnf.neg', [status(esa)], [clause226])).
% 22.06/3.75 thf(zip_derived_cl318, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.75 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 22.06/3.75 ( (ssPv20_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.75 X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 22.06/3.75 | ~ (ssNder1_0)
% 22.06/3.75 | ~ (ssNder1_1r1 @ X0)
% 22.06/3.75 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 22.06/3.75 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 22.06/3.75 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 22.06/3.75 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 22.06/3.75 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 22.06/3.75 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 22.06/3.75 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.75 X7)
% 22.06/3.75 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.75 X6 @ X7 @ X8)
% 22.06/3.75 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.75 X6 @ X7 @ X8 @ X9)
% 22.06/3.75 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.75 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 22.06/3.75 | ~ (ssPv20_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.75 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 22.06/3.75 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.75 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11))),
% 22.06/3.75 inference('cnf', [status(esa)], [zf_stmt_55])).
% 22.06/3.75 thf(zip_derived_cl543, plain, ( (ssNder1_0)),
% 22.06/3.75 inference('cnf', [status(esa)], [zf_stmt_1])).
% 22.06/3.75 thf(zip_derived_cl549, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 22.06/3.75 inference('demod', [status(thm)], [zip_derived_cl542, zip_derived_cl543])).
% 22.06/3.75 thf(zip_derived_cl550, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl541, zip_derived_cl543, zip_derived_cl549])).
% 22.06/3.75 thf(zip_derived_cl556, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl535, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550])).
% 22.06/3.75 thf(zip_derived_cl574, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 22.06/3.75 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl526, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556])).
% 22.06/3.75 thf(zip_derived_cl595, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 22.06/3.75 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl512, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574])).
% 22.06/3.75 thf(zip_derived_cl619, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 22.06/3.75 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl497, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595])).
% 22.06/3.75 thf(zip_derived_cl646, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 22.06/3.75 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl480, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595, zip_derived_cl619])).
% 22.06/3.75 thf(zip_derived_cl677, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 22.06/3.75 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl461, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646])).
% 22.06/3.75 thf(zip_derived_cl711, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.75 X7 : $i, X8 : $i]:
% 22.06/3.75 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.75 X7 @ X8)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl439, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.75 zip_derived_cl677])).
% 22.06/3.75 thf(zip_derived_cl763, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.75 X7 : $i, X8 : $i, X9 : $i]:
% 22.06/3.75 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.75 X7 @ X8 @ X9)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl413, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.75 zip_derived_cl677, zip_derived_cl711])).
% 22.06/3.75 thf(zip_derived_cl807, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.75 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 22.06/3.75 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.75 X6 @ X7 @ X8 @ X9 @ X10)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl390, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.75 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763])).
% 22.06/3.75 thf(zip_derived_cl857, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.75 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 22.06/3.75 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.75 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl363, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.75 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763,
% 22.06/3.75 zip_derived_cl807])).
% 22.06/3.75 thf(zip_derived_cl944, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.75 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 22.06/3.75 ( (ssPv20_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.75 X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 22.06/3.75 | ~ (ssPv20_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.75 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12))),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl318, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.75 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763,
% 22.06/3.75 zip_derived_cl807, zip_derived_cl857])).
% 22.06/3.75 thf(zip_derived_cl1772, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.75 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 22.06/3.75 ( (ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X12 @ X11 @ X10 @ X9 @ X8 @
% 22.06/3.75 X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 22.06/3.75 | ~ (ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X12 @ X11 @ X10 @ X9 @
% 22.06/3.75 X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 22.06/3.75 | (ssPv20_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X12 @ X11 @ X10 @ X9 @ X8 @
% 22.06/3.75 X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1))),
% 22.06/3.75 inference('sup-', [status(thm)], [zip_derived_cl1771, zip_derived_cl944])).
% 22.06/3.75 thf(clause237, conjecture,
% 22.06/3.75 (~( ( ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) |
% 22.06/3.75 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 22.06/3.75 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 22.06/3.75 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 22.06/3.75 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 22.06/3.75 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 22.06/3.75 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 22.06/3.75 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 22.06/3.75 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 22.06/3.75 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 22.06/3.75 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 22.06/3.75 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 22.06/3.75 ( ~( ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 22.06/3.75 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) ))).
% 22.06/3.75 thf(zf_stmt_56, negated_conjecture,
% 22.06/3.75 (( ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) |
% 22.06/3.75 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 22.06/3.75 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 22.06/3.75 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 22.06/3.75 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 22.06/3.75 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 22.06/3.75 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 22.06/3.75 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 22.06/3.75 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 22.06/3.75 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 22.06/3.75 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 22.06/3.75 ( ~( ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 22.06/3.75 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) )),
% 22.06/3.75 inference('cnf.neg', [status(esa)], [clause237])).
% 22.06/3.75 thf(zip_derived_cl307, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.75 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 22.06/3.75 ( (ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.75 X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 22.06/3.75 | ~ (ssNder1_0)
% 22.06/3.75 | ~ (ssNder1_1r1 @ X0)
% 22.06/3.75 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 22.06/3.75 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 22.06/3.75 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 22.06/3.75 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 22.06/3.75 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 22.06/3.75 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 22.06/3.75 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.75 X7)
% 22.06/3.75 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.75 X6 @ X7 @ X8)
% 22.06/3.75 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.75 X6 @ X7 @ X8 @ X9)
% 22.06/3.75 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.75 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 22.06/3.75 | ~ (ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.75 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 22.06/3.75 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.75 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11))),
% 22.06/3.75 inference('cnf', [status(esa)], [zf_stmt_56])).
% 22.06/3.75 thf(zip_derived_cl543, plain, ( (ssNder1_0)),
% 22.06/3.75 inference('cnf', [status(esa)], [zf_stmt_1])).
% 22.06/3.75 thf(zip_derived_cl549, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 22.06/3.75 inference('demod', [status(thm)], [zip_derived_cl542, zip_derived_cl543])).
% 22.06/3.75 thf(zip_derived_cl550, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl541, zip_derived_cl543, zip_derived_cl549])).
% 22.06/3.75 thf(zip_derived_cl556, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl535, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550])).
% 22.06/3.75 thf(zip_derived_cl574, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 22.06/3.75 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl526, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556])).
% 22.06/3.75 thf(zip_derived_cl595, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 22.06/3.75 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl512, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574])).
% 22.06/3.75 thf(zip_derived_cl619, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 22.06/3.75 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl497, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595])).
% 22.06/3.75 thf(zip_derived_cl646, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 22.06/3.75 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl480, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595, zip_derived_cl619])).
% 22.06/3.75 thf(zip_derived_cl677, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 22.06/3.75 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl461, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646])).
% 22.06/3.75 thf(zip_derived_cl711, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.75 X7 : $i, X8 : $i]:
% 22.06/3.75 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.75 X7 @ X8)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl439, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.75 zip_derived_cl677])).
% 22.06/3.75 thf(zip_derived_cl763, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.75 X7 : $i, X8 : $i, X9 : $i]:
% 22.06/3.75 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.75 X7 @ X8 @ X9)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl413, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.75 zip_derived_cl677, zip_derived_cl711])).
% 22.06/3.75 thf(zip_derived_cl807, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.75 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 22.06/3.75 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.75 X6 @ X7 @ X8 @ X9 @ X10)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl390, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.75 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763])).
% 22.06/3.75 thf(zip_derived_cl857, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.75 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 22.06/3.75 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.75 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl363, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.75 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763,
% 22.06/3.75 zip_derived_cl807])).
% 22.06/3.75 thf(zip_derived_cl925, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.75 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 22.06/3.75 ( (ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.75 X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 22.06/3.75 | ~ (ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.75 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12))),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl307, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.75 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763,
% 22.06/3.75 zip_derived_cl807, zip_derived_cl857])).
% 22.06/3.75 thf(zip_derived_cl1773, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.75 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 22.06/3.75 ( (ssPv20_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X12 @ X11 @ X10 @ X9 @ X8 @
% 22.06/3.75 X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1)
% 22.06/3.75 | ~ (ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X12 @ X11 @ X10 @ X9 @
% 22.06/3.75 X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 22.06/3.75 | (ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X12 @ X11 @ X10 @ X9 @ X8 @
% 22.06/3.75 X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1))),
% 22.06/3.75 inference('sup-', [status(thm)], [zip_derived_cl1772, zip_derived_cl925])).
% 22.06/3.75 thf(zip_derived_cl1786, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.75 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 22.06/3.75 ( (ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @
% 22.06/3.75 X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 22.06/3.75 | (ssPv20_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X11 @ X10 @ X9 @ X8 @ X7 @
% 22.06/3.75 X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0))),
% 22.06/3.75 inference('sup-', [status(thm)], [zip_derived_cl869, zip_derived_cl1773])).
% 22.06/3.75 thf(zip_derived_cl892, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.75 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 22.06/3.75 ( (ssPv14_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.75 X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 22.06/3.75 | ~ (ssPv14_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.75 X6 @ X7 @ X8 @ X9 @ X10))),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl342, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.75 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763,
% 22.06/3.75 zip_derived_cl807])).
% 22.06/3.75 thf(zip_derived_cl962, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.75 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 22.06/3.75 ( (ssPv14_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.75 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 22.06/3.75 | ~ (ssPv14_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.75 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11))),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl324, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.75 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763,
% 22.06/3.75 zip_derived_cl807, zip_derived_cl857])).
% 22.06/3.75 thf(clause225, conjecture,
% 22.06/3.75 (~( ( ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) |
% 22.06/3.75 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 22.06/3.75 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 22.06/3.75 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 22.06/3.75 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 22.06/3.75 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 22.06/3.75 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 22.06/3.75 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 22.06/3.75 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 22.06/3.75 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 22.06/3.75 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 22.06/3.75 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 22.06/3.75 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 22.06/3.75 ( ~( ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) ))).
% 22.06/3.75 thf(zf_stmt_57, negated_conjecture,
% 22.06/3.75 (( ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) |
% 22.06/3.75 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 22.06/3.75 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 22.06/3.75 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 22.06/3.75 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 22.06/3.75 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 22.06/3.75 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 22.06/3.75 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 22.06/3.75 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 22.06/3.75 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 22.06/3.75 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 22.06/3.75 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 22.06/3.75 ( ~( ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) )),
% 22.06/3.75 inference('cnf.neg', [status(esa)], [clause225])).
% 22.06/3.75 thf(zip_derived_cl319, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.75 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 22.06/3.75 ( (ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.75 X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 22.06/3.75 | ~ (ssNder1_0)
% 22.06/3.75 | ~ (ssNder1_1r1 @ X0)
% 22.06/3.75 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 22.06/3.75 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 22.06/3.75 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 22.06/3.75 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 22.06/3.75 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 22.06/3.75 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 22.06/3.75 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.75 X7)
% 22.06/3.75 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.75 X6 @ X7 @ X8)
% 22.06/3.75 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.75 X6 @ X7 @ X8 @ X9)
% 22.06/3.75 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.75 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 22.06/3.75 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.75 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 22.06/3.75 | ~ (ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.75 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11))),
% 22.06/3.75 inference('cnf', [status(esa)], [zf_stmt_57])).
% 22.06/3.75 thf(zip_derived_cl543, plain, ( (ssNder1_0)),
% 22.06/3.75 inference('cnf', [status(esa)], [zf_stmt_1])).
% 22.06/3.75 thf(zip_derived_cl549, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 22.06/3.75 inference('demod', [status(thm)], [zip_derived_cl542, zip_derived_cl543])).
% 22.06/3.75 thf(zip_derived_cl550, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl541, zip_derived_cl543, zip_derived_cl549])).
% 22.06/3.75 thf(zip_derived_cl556, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl535, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550])).
% 22.06/3.75 thf(zip_derived_cl574, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 22.06/3.75 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl526, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556])).
% 22.06/3.75 thf(zip_derived_cl595, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 22.06/3.75 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl512, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574])).
% 22.06/3.75 thf(zip_derived_cl619, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 22.06/3.75 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl497, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595])).
% 22.06/3.75 thf(zip_derived_cl646, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 22.06/3.75 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl480, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595, zip_derived_cl619])).
% 22.06/3.75 thf(zip_derived_cl677, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 22.06/3.75 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl461, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646])).
% 22.06/3.75 thf(zip_derived_cl711, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.75 X7 : $i, X8 : $i]:
% 22.06/3.75 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.75 X7 @ X8)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl439, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.75 zip_derived_cl677])).
% 22.06/3.75 thf(zip_derived_cl763, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.75 X7 : $i, X8 : $i, X9 : $i]:
% 22.06/3.75 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.75 X7 @ X8 @ X9)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl413, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.75 zip_derived_cl677, zip_derived_cl711])).
% 22.06/3.75 thf(zip_derived_cl807, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.75 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 22.06/3.75 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.75 X6 @ X7 @ X8 @ X9 @ X10)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl390, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.75 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763])).
% 22.06/3.75 thf(zip_derived_cl857, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.75 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 22.06/3.75 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.75 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl363, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.75 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763,
% 22.06/3.75 zip_derived_cl807])).
% 22.06/3.75 thf(zip_derived_cl952, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.75 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 22.06/3.75 ( (ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.75 X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 22.06/3.75 | ~ (ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.75 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11))),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl319, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.75 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763,
% 22.06/3.75 zip_derived_cl807, zip_derived_cl857])).
% 22.06/3.75 thf(clause269, conjecture,
% 22.06/3.75 (~( ( ssPv9_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) |
% 22.06/3.75 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 22.06/3.75 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 22.06/3.75 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 22.06/3.75 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 22.06/3.75 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 22.06/3.75 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 22.06/3.75 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 22.06/3.75 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 22.06/3.75 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 22.06/3.75 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 22.06/3.75 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 22.06/3.75 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 22.06/3.75 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 22.06/3.75 ( ~( ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) ))).
% 22.06/3.75 thf(zf_stmt_58, negated_conjecture,
% 22.06/3.75 (( ssPv9_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) |
% 22.06/3.75 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 22.06/3.75 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 22.06/3.75 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 22.06/3.75 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 22.06/3.75 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 22.06/3.75 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 22.06/3.75 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 22.06/3.75 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 22.06/3.75 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 22.06/3.75 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 22.06/3.75 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 22.06/3.75 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 22.06/3.75 ( ~( ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) )),
% 22.06/3.75 inference('cnf.neg', [status(esa)], [clause269])).
% 22.06/3.75 thf(zip_derived_cl275, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.75 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 22.06/3.75 ( (ssPv9_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.75 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 22.06/3.75 | ~ (ssNder1_0)
% 22.06/3.75 | ~ (ssNder1_1r1 @ X0)
% 22.06/3.75 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 22.06/3.75 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 22.06/3.75 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 22.06/3.75 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 22.06/3.75 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 22.06/3.75 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 22.06/3.75 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.75 X7)
% 22.06/3.75 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.75 X6 @ X7 @ X8)
% 22.06/3.75 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.75 X6 @ X7 @ X8 @ X9)
% 22.06/3.75 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.75 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 22.06/3.75 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.75 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 22.06/3.75 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.75 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 22.06/3.75 | ~ (ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.75 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12))),
% 22.06/3.75 inference('cnf', [status(esa)], [zf_stmt_58])).
% 22.06/3.75 thf(zip_derived_cl543, plain, ( (ssNder1_0)),
% 22.06/3.75 inference('cnf', [status(esa)], [zf_stmt_1])).
% 22.06/3.75 thf(zip_derived_cl549, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 22.06/3.75 inference('demod', [status(thm)], [zip_derived_cl542, zip_derived_cl543])).
% 22.06/3.75 thf(zip_derived_cl550, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl541, zip_derived_cl543, zip_derived_cl549])).
% 22.06/3.75 thf(zip_derived_cl556, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl535, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550])).
% 22.06/3.75 thf(zip_derived_cl574, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 22.06/3.75 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl526, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556])).
% 22.06/3.75 thf(zip_derived_cl595, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 22.06/3.75 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl512, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574])).
% 22.06/3.75 thf(zip_derived_cl619, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 22.06/3.75 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl497, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595])).
% 22.06/3.75 thf(zip_derived_cl646, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 22.06/3.75 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl480, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595, zip_derived_cl619])).
% 22.06/3.75 thf(zip_derived_cl677, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 22.06/3.75 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl461, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646])).
% 22.06/3.75 thf(zip_derived_cl711, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.75 X7 : $i, X8 : $i]:
% 22.06/3.75 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.75 X7 @ X8)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl439, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.75 zip_derived_cl677])).
% 22.06/3.75 thf(zip_derived_cl763, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.75 X7 : $i, X8 : $i, X9 : $i]:
% 22.06/3.75 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.75 X7 @ X8 @ X9)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl413, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.75 zip_derived_cl677, zip_derived_cl711])).
% 22.06/3.75 thf(zip_derived_cl807, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.75 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 22.06/3.75 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.75 X6 @ X7 @ X8 @ X9 @ X10)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl390, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.75 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763])).
% 22.06/3.75 thf(zip_derived_cl857, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.75 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 22.06/3.75 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.75 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl363, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.75 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763,
% 22.06/3.75 zip_derived_cl807])).
% 22.06/3.75 thf(zip_derived_cl911, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.75 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 22.06/3.75 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.75 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl334, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.75 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763,
% 22.06/3.75 zip_derived_cl807, zip_derived_cl857])).
% 22.06/3.75 thf(zip_derived_cl1015, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.75 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 22.06/3.75 ( (ssPv9_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.75 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 22.06/3.75 | ~ (ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.75 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12))),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl275, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.75 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763,
% 22.06/3.75 zip_derived_cl807, zip_derived_cl857, zip_derived_cl911])).
% 22.06/3.75 thf(clause264, conjecture,
% 22.06/3.75 (~( ( ssPv14_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) |
% 22.06/3.75 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 22.06/3.75 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 22.06/3.75 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 22.06/3.75 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 22.06/3.75 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 22.06/3.75 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 22.06/3.75 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 22.06/3.75 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 22.06/3.75 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 22.06/3.75 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 22.06/3.75 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 22.06/3.75 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 22.06/3.75 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 22.06/3.75 ( ~( ssPv14_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) ))).
% 22.06/3.75 thf(zf_stmt_59, negated_conjecture,
% 22.06/3.75 (( ssPv14_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) |
% 22.06/3.75 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 22.06/3.75 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 22.06/3.75 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 22.06/3.75 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 22.06/3.75 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 22.06/3.75 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 22.06/3.75 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 22.06/3.75 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 22.06/3.75 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 22.06/3.75 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 22.06/3.75 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 22.06/3.75 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 22.06/3.75 ( ~( ssPv14_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) )),
% 22.06/3.75 inference('cnf.neg', [status(esa)], [clause264])).
% 22.06/3.75 thf(zip_derived_cl280, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.75 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 22.06/3.75 ( (ssPv14_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.75 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 22.06/3.75 | ~ (ssNder1_0)
% 22.06/3.75 | ~ (ssNder1_1r1 @ X0)
% 22.06/3.75 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 22.06/3.75 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 22.06/3.75 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 22.06/3.75 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 22.06/3.75 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 22.06/3.75 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 22.06/3.75 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.75 X7)
% 22.06/3.75 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.75 X6 @ X7 @ X8)
% 22.06/3.75 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.75 X6 @ X7 @ X8 @ X9)
% 22.06/3.75 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.75 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 22.06/3.75 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.75 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 22.06/3.75 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.75 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 22.06/3.75 | ~ (ssPv14_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.75 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12))),
% 22.06/3.75 inference('cnf', [status(esa)], [zf_stmt_59])).
% 22.06/3.75 thf(zip_derived_cl543, plain, ( (ssNder1_0)),
% 22.06/3.75 inference('cnf', [status(esa)], [zf_stmt_1])).
% 22.06/3.75 thf(zip_derived_cl549, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 22.06/3.75 inference('demod', [status(thm)], [zip_derived_cl542, zip_derived_cl543])).
% 22.06/3.75 thf(zip_derived_cl550, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl541, zip_derived_cl543, zip_derived_cl549])).
% 22.06/3.75 thf(zip_derived_cl556, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl535, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550])).
% 22.06/3.75 thf(zip_derived_cl574, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 22.06/3.75 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl526, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556])).
% 22.06/3.75 thf(zip_derived_cl595, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 22.06/3.75 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl512, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574])).
% 22.06/3.75 thf(zip_derived_cl619, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 22.06/3.75 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl497, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595])).
% 22.06/3.75 thf(zip_derived_cl646, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 22.06/3.75 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl480, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595, zip_derived_cl619])).
% 22.06/3.75 thf(zip_derived_cl677, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 22.06/3.75 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl461, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646])).
% 22.06/3.75 thf(zip_derived_cl711, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.75 X7 : $i, X8 : $i]:
% 22.06/3.75 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.75 X7 @ X8)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl439, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.75 zip_derived_cl677])).
% 22.06/3.75 thf(zip_derived_cl763, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.75 X7 : $i, X8 : $i, X9 : $i]:
% 22.06/3.75 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.75 X7 @ X8 @ X9)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl413, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.75 zip_derived_cl677, zip_derived_cl711])).
% 22.06/3.75 thf(zip_derived_cl807, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.75 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 22.06/3.75 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.75 X6 @ X7 @ X8 @ X9 @ X10)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl390, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.75 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763])).
% 22.06/3.75 thf(zip_derived_cl857, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.75 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 22.06/3.75 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.75 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl363, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.75 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763,
% 22.06/3.75 zip_derived_cl807])).
% 22.06/3.75 thf(zip_derived_cl911, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.75 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 22.06/3.75 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.75 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl334, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.75 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763,
% 22.06/3.75 zip_derived_cl807, zip_derived_cl857])).
% 22.06/3.75 thf(zip_derived_cl1025, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.75 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 22.06/3.75 ( (ssPv14_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.75 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 22.06/3.75 | ~ (ssPv14_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.75 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12))),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl280, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.75 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763,
% 22.06/3.75 zip_derived_cl807, zip_derived_cl857, zip_derived_cl911])).
% 22.06/3.75 thf(clause312, conjecture,
% 22.06/3.75 (~( ( ssPv14_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) |
% 22.06/3.75 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 22.06/3.75 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 22.06/3.75 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 22.06/3.75 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 22.06/3.75 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 22.06/3.75 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 22.06/3.75 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 22.06/3.75 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 22.06/3.75 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 22.06/3.75 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 22.06/3.75 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 22.06/3.75 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 22.06/3.75 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 22.06/3.75 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 22.06/3.75 ( ~( ssPv14_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) ))).
% 22.06/3.75 thf(zf_stmt_60, negated_conjecture,
% 22.06/3.75 (( ssPv14_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) |
% 22.06/3.75 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 22.06/3.75 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 22.06/3.75 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 22.06/3.75 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 22.06/3.75 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 22.06/3.75 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 22.06/3.75 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 22.06/3.75 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 22.06/3.75 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 22.06/3.75 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 22.06/3.75 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 22.06/3.75 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 22.06/3.75 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 22.06/3.75 ( ~( ssPv14_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) )),
% 22.06/3.75 inference('cnf.neg', [status(esa)], [clause312])).
% 22.06/3.75 thf(zip_derived_cl232, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.75 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 22.06/3.75 X14 : $i]:
% 22.06/3.75 ( (ssPv14_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.75 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 22.06/3.75 | ~ (ssNder1_0)
% 22.06/3.75 | ~ (ssNder1_1r1 @ X0)
% 22.06/3.75 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 22.06/3.75 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 22.06/3.75 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 22.06/3.75 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 22.06/3.75 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 22.06/3.75 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 22.06/3.75 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.75 X7)
% 22.06/3.75 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.75 X6 @ X7 @ X8)
% 22.06/3.75 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.75 X6 @ X7 @ X8 @ X9)
% 22.06/3.75 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.75 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 22.06/3.75 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.75 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 22.06/3.75 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.75 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 22.06/3.75 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 22.06/3.75 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 22.06/3.75 | ~ (ssPv14_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 22.06/3.75 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13))),
% 22.06/3.75 inference('cnf', [status(esa)], [zf_stmt_60])).
% 22.06/3.75 thf(zip_derived_cl543, plain, ( (ssNder1_0)),
% 22.06/3.75 inference('cnf', [status(esa)], [zf_stmt_1])).
% 22.06/3.75 thf(zip_derived_cl549, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 22.06/3.75 inference('demod', [status(thm)], [zip_derived_cl542, zip_derived_cl543])).
% 22.06/3.75 thf(zip_derived_cl550, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl541, zip_derived_cl543, zip_derived_cl549])).
% 22.06/3.75 thf(zip_derived_cl556, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl535, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550])).
% 22.06/3.75 thf(zip_derived_cl574, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 22.06/3.75 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl526, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556])).
% 22.06/3.75 thf(zip_derived_cl595, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 22.06/3.75 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl512, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574])).
% 22.06/3.75 thf(zip_derived_cl619, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 22.06/3.75 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl497, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595])).
% 22.06/3.75 thf(zip_derived_cl646, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 22.06/3.75 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl480, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595, zip_derived_cl619])).
% 22.06/3.75 thf(zip_derived_cl677, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 22.06/3.75 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl461, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646])).
% 22.06/3.75 thf(zip_derived_cl711, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.75 X7 : $i, X8 : $i]:
% 22.06/3.75 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.75 X7 @ X8)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl439, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.75 zip_derived_cl677])).
% 22.06/3.75 thf(zip_derived_cl763, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.75 X7 : $i, X8 : $i, X9 : $i]:
% 22.06/3.75 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.75 X7 @ X8 @ X9)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl413, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.75 zip_derived_cl677, zip_derived_cl711])).
% 22.06/3.75 thf(zip_derived_cl807, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.75 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 22.06/3.75 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.75 X6 @ X7 @ X8 @ X9 @ X10)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl390, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.75 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763])).
% 22.06/3.75 thf(zip_derived_cl857, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.75 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 22.06/3.75 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.75 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl363, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.75 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763,
% 22.06/3.75 zip_derived_cl807])).
% 22.06/3.75 thf(zip_derived_cl911, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.75 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 22.06/3.75 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.75 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl334, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.75 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763,
% 22.06/3.75 zip_derived_cl807, zip_derived_cl857])).
% 22.06/3.75 thf(zip_derived_cl969, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.75 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 22.06/3.75 (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.75 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl300, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.75 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763,
% 22.06/3.75 zip_derived_cl807, zip_derived_cl857, zip_derived_cl911])).
% 22.06/3.75 thf(zip_derived_cl1146, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.75 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 22.06/3.75 X14 : $i]:
% 22.06/3.75 ( (ssPv14_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.75 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 22.06/3.75 | ~ (ssPv14_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 22.06/3.75 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13))),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl232, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.75 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763,
% 22.06/3.75 zip_derived_cl807, zip_derived_cl857, zip_derived_cl911,
% 22.06/3.75 zip_derived_cl969])).
% 22.06/3.75 thf(clause317, conjecture,
% 22.06/3.75 (~( ( ssPv9_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) |
% 22.06/3.75 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 22.06/3.75 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 22.06/3.75 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 22.06/3.75 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 22.06/3.75 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 22.06/3.75 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 22.06/3.75 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 22.06/3.75 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 22.06/3.75 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 22.06/3.75 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 22.06/3.75 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 22.06/3.75 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 22.06/3.75 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 22.06/3.75 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 22.06/3.75 ( ~( ssPv9_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) ))).
% 22.06/3.75 thf(zf_stmt_61, negated_conjecture,
% 22.06/3.75 (( ssPv9_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) |
% 22.06/3.75 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 22.06/3.75 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 22.06/3.75 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 22.06/3.75 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 22.06/3.75 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 22.06/3.75 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 22.06/3.75 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 22.06/3.75 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 22.06/3.75 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 22.06/3.75 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 22.06/3.75 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 22.06/3.75 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 22.06/3.75 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 22.06/3.75 ( ~( ssPv9_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) )),
% 22.06/3.75 inference('cnf.neg', [status(esa)], [clause317])).
% 22.06/3.75 thf(zip_derived_cl227, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.75 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 22.06/3.75 X14 : $i]:
% 22.06/3.75 ( (ssPv9_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.75 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 22.06/3.75 | ~ (ssNder1_0)
% 22.06/3.75 | ~ (ssNder1_1r1 @ X0)
% 22.06/3.75 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 22.06/3.75 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 22.06/3.75 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 22.06/3.75 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 22.06/3.75 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 22.06/3.75 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 22.06/3.75 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.75 X7)
% 22.06/3.75 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.75 X6 @ X7 @ X8)
% 22.06/3.75 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.75 X6 @ X7 @ X8 @ X9)
% 22.06/3.75 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.75 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 22.06/3.75 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.75 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 22.06/3.75 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.75 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 22.06/3.75 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 22.06/3.75 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 22.06/3.75 | ~ (ssPv9_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.75 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13))),
% 22.06/3.75 inference('cnf', [status(esa)], [zf_stmt_61])).
% 22.06/3.75 thf(zip_derived_cl543, plain, ( (ssNder1_0)),
% 22.06/3.75 inference('cnf', [status(esa)], [zf_stmt_1])).
% 22.06/3.75 thf(zip_derived_cl549, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 22.06/3.75 inference('demod', [status(thm)], [zip_derived_cl542, zip_derived_cl543])).
% 22.06/3.75 thf(zip_derived_cl550, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl541, zip_derived_cl543, zip_derived_cl549])).
% 22.06/3.75 thf(zip_derived_cl556, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl535, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550])).
% 22.06/3.75 thf(zip_derived_cl574, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 22.06/3.75 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl526, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556])).
% 22.06/3.75 thf(zip_derived_cl595, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 22.06/3.75 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl512, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574])).
% 22.06/3.75 thf(zip_derived_cl619, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 22.06/3.75 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl497, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595])).
% 22.06/3.75 thf(zip_derived_cl646, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 22.06/3.75 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl480, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595, zip_derived_cl619])).
% 22.06/3.75 thf(zip_derived_cl677, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 22.06/3.75 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl461, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646])).
% 22.06/3.75 thf(zip_derived_cl711, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.75 X7 : $i, X8 : $i]:
% 22.06/3.75 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.75 X7 @ X8)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl439, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.75 zip_derived_cl677])).
% 22.06/3.75 thf(zip_derived_cl763, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.75 X7 : $i, X8 : $i, X9 : $i]:
% 22.06/3.75 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.75 X7 @ X8 @ X9)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl413, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.75 zip_derived_cl677, zip_derived_cl711])).
% 22.06/3.75 thf(zip_derived_cl807, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.75 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 22.06/3.75 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.75 X6 @ X7 @ X8 @ X9 @ X10)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl390, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.75 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763])).
% 22.06/3.75 thf(zip_derived_cl857, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.75 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 22.06/3.75 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.75 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl363, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.75 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763,
% 22.06/3.75 zip_derived_cl807])).
% 22.06/3.75 thf(zip_derived_cl911, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.75 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 22.06/3.75 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.75 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl334, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.75 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763,
% 22.06/3.75 zip_derived_cl807, zip_derived_cl857])).
% 22.06/3.75 thf(zip_derived_cl969, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.75 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 22.06/3.75 (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.75 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl300, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.75 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763,
% 22.06/3.75 zip_derived_cl807, zip_derived_cl857, zip_derived_cl911])).
% 22.06/3.75 thf(zip_derived_cl1127, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.75 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 22.06/3.75 X14 : $i]:
% 22.06/3.75 ( (ssPv9_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.75 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 22.06/3.75 | ~ (ssPv9_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.75 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13))),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl227, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.75 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763,
% 22.06/3.75 zip_derived_cl807, zip_derived_cl857, zip_derived_cl911,
% 22.06/3.75 zip_derived_cl969])).
% 22.06/3.75 thf(clause336, conjecture,
% 22.06/3.75 (~( ( ssPv9_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 22.06/3.75 X10 ) |
% 22.06/3.75 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 22.06/3.75 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 22.06/3.75 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 22.06/3.75 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 22.06/3.75 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 22.06/3.75 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 22.06/3.75 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 22.06/3.75 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 22.06/3.75 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 22.06/3.75 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 22.06/3.75 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 22.06/3.75 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 22.06/3.75 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 22.06/3.75 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 22.06/3.75 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 22.06/3.75 ( ~( ssPv9_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) ))).
% 22.06/3.75 thf(zf_stmt_62, negated_conjecture,
% 22.06/3.75 (( ssPv9_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 ) |
% 22.06/3.75 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 22.06/3.75 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 22.06/3.75 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 22.06/3.75 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 22.06/3.75 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 22.06/3.75 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 22.06/3.75 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 22.06/3.75 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 22.06/3.75 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 22.06/3.75 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 22.06/3.75 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 22.06/3.75 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 22.06/3.75 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 22.06/3.75 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 22.06/3.75 ( ~( ssPv9_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) )),
% 22.06/3.75 inference('cnf.neg', [status(esa)], [clause336])).
% 22.06/3.75 thf(zip_derived_cl208, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.75 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 22.06/3.75 X14 : $i, X15 : $i]:
% 22.06/3.75 ( (ssPv9_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 22.06/3.75 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15)
% 22.06/3.75 | ~ (ssNder1_0)
% 22.06/3.75 | ~ (ssNder1_1r1 @ X0)
% 22.06/3.75 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 22.06/3.75 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 22.06/3.75 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 22.06/3.75 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 22.06/3.75 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 22.06/3.75 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 22.06/3.75 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.75 X7)
% 22.06/3.75 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.75 X6 @ X7 @ X8)
% 22.06/3.75 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.75 X6 @ X7 @ X8 @ X9)
% 22.06/3.75 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.75 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 22.06/3.75 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.75 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 22.06/3.75 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.75 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 22.06/3.75 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 22.06/3.75 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 22.06/3.75 | ~ (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 22.06/3.75 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 22.06/3.75 | ~ (ssPv9_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 22.06/3.75 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14))),
% 22.06/3.75 inference('cnf', [status(esa)], [zf_stmt_62])).
% 22.06/3.75 thf(zip_derived_cl543, plain, ( (ssNder1_0)),
% 22.06/3.75 inference('cnf', [status(esa)], [zf_stmt_1])).
% 22.06/3.75 thf(zip_derived_cl549, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 22.06/3.75 inference('demod', [status(thm)], [zip_derived_cl542, zip_derived_cl543])).
% 22.06/3.75 thf(zip_derived_cl550, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl541, zip_derived_cl543, zip_derived_cl549])).
% 22.06/3.75 thf(zip_derived_cl556, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl535, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550])).
% 22.06/3.75 thf(zip_derived_cl574, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 22.06/3.75 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl526, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556])).
% 22.06/3.75 thf(zip_derived_cl595, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 22.06/3.75 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl512, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574])).
% 22.06/3.75 thf(zip_derived_cl619, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 22.06/3.75 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl497, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595])).
% 22.06/3.75 thf(zip_derived_cl646, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 22.06/3.75 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl480, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595, zip_derived_cl619])).
% 22.06/3.75 thf(zip_derived_cl677, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 22.06/3.75 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl461, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646])).
% 22.06/3.75 thf(zip_derived_cl711, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.75 X7 : $i, X8 : $i]:
% 22.06/3.75 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.75 X7 @ X8)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl439, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.75 zip_derived_cl677])).
% 22.06/3.75 thf(zip_derived_cl763, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.75 X7 : $i, X8 : $i, X9 : $i]:
% 22.06/3.75 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.75 X7 @ X8 @ X9)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl413, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.75 zip_derived_cl677, zip_derived_cl711])).
% 22.06/3.75 thf(zip_derived_cl807, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.75 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 22.06/3.75 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.75 X6 @ X7 @ X8 @ X9 @ X10)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl390, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.75 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763])).
% 22.06/3.75 thf(zip_derived_cl857, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.75 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 22.06/3.75 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.75 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl363, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.75 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763,
% 22.06/3.75 zip_derived_cl807])).
% 22.06/3.75 thf(zip_derived_cl911, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.75 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 22.06/3.75 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.75 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl334, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.75 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763,
% 22.06/3.75 zip_derived_cl807, zip_derived_cl857])).
% 22.06/3.75 thf(zip_derived_cl969, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.75 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 22.06/3.75 (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.75 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl300, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.75 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763,
% 22.06/3.75 zip_derived_cl807, zip_derived_cl857, zip_derived_cl911])).
% 22.06/3.75 thf(zip_derived_cl1050, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.75 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 22.06/3.75 X14 : $i]:
% 22.06/3.75 (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.75 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl260, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.75 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763,
% 22.06/3.75 zip_derived_cl807, zip_derived_cl857, zip_derived_cl911,
% 22.06/3.75 zip_derived_cl969])).
% 22.06/3.75 thf(zip_derived_cl1617, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.75 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 22.06/3.75 X14 : $i, X15 : $i]:
% 22.06/3.75 ( (ssPv9_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 22.06/3.75 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15)
% 22.06/3.75 | ~ (ssPv9_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 22.06/3.75 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14))),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl208, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.75 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763,
% 22.06/3.75 zip_derived_cl807, zip_derived_cl857, zip_derived_cl911,
% 22.06/3.75 zip_derived_cl969, zip_derived_cl1050])).
% 22.06/3.75 thf(zip_derived_cl1056, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.75 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 22.06/3.75 X14 : $i]:
% 22.06/3.75 (ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.75 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ skc16)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl259, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.75 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763,
% 22.06/3.75 zip_derived_cl807, zip_derived_cl857, zip_derived_cl911,
% 22.06/3.75 zip_derived_cl969])).
% 22.06/3.75 thf(clause361, conjecture,
% 22.06/3.75 (~( ( ssPv14_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 22.06/3.75 X10 ) |
% 22.06/3.75 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 22.06/3.75 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 22.06/3.75 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 22.06/3.75 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 22.06/3.75 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 22.06/3.75 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 22.06/3.75 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 22.06/3.75 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 22.06/3.75 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 22.06/3.75 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 22.06/3.75 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 22.06/3.75 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 22.06/3.75 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 22.06/3.75 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 22.06/3.75 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 22.06/3.75 ( ~( ssPv14_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) ))).
% 22.06/3.75 thf(zf_stmt_63, negated_conjecture,
% 22.06/3.75 (( ssPv14_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 ) |
% 22.06/3.75 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 22.06/3.75 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 22.06/3.75 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 22.06/3.75 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 22.06/3.75 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 22.06/3.75 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 22.06/3.75 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 22.06/3.75 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 22.06/3.75 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 22.06/3.75 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 22.06/3.75 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 22.06/3.75 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 22.06/3.75 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 22.06/3.75 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 22.06/3.75 ( ~( ssPv14_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) )),
% 22.06/3.75 inference('cnf.neg', [status(esa)], [clause361])).
% 22.06/3.75 thf(zip_derived_cl183, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.75 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 22.06/3.75 X14 : $i, X15 : $i]:
% 22.06/3.75 ( (ssPv14_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 22.06/3.75 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15)
% 22.06/3.75 | ~ (ssNder1_0)
% 22.06/3.75 | ~ (ssNder1_1r1 @ X0)
% 22.06/3.75 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 22.06/3.75 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 22.06/3.75 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 22.06/3.75 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 22.06/3.75 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 22.06/3.75 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 22.06/3.75 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.75 X7)
% 22.06/3.75 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.75 X6 @ X7 @ X8)
% 22.06/3.75 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.75 X6 @ X7 @ X8 @ X9)
% 22.06/3.75 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.75 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 22.06/3.75 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.75 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 22.06/3.75 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.75 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 22.06/3.75 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 22.06/3.75 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 22.06/3.75 | ~ (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 22.06/3.75 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 22.06/3.75 | ~ (ssPv14_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 22.06/3.75 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14))),
% 22.06/3.75 inference('cnf', [status(esa)], [zf_stmt_63])).
% 22.06/3.75 thf(zip_derived_cl543, plain, ( (ssNder1_0)),
% 22.06/3.75 inference('cnf', [status(esa)], [zf_stmt_1])).
% 22.06/3.75 thf(zip_derived_cl549, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 22.06/3.75 inference('demod', [status(thm)], [zip_derived_cl542, zip_derived_cl543])).
% 22.06/3.75 thf(zip_derived_cl550, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl541, zip_derived_cl543, zip_derived_cl549])).
% 22.06/3.75 thf(zip_derived_cl556, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl535, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550])).
% 22.06/3.75 thf(zip_derived_cl574, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 22.06/3.75 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl526, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556])).
% 22.06/3.75 thf(zip_derived_cl595, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 22.06/3.75 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl512, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574])).
% 22.06/3.75 thf(zip_derived_cl619, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 22.06/3.75 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl497, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595])).
% 22.06/3.75 thf(zip_derived_cl646, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 22.06/3.75 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl480, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595, zip_derived_cl619])).
% 22.06/3.75 thf(zip_derived_cl677, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 22.06/3.75 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl461, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646])).
% 22.06/3.75 thf(zip_derived_cl711, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.75 X7 : $i, X8 : $i]:
% 22.06/3.75 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.75 X7 @ X8)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl439, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.75 zip_derived_cl677])).
% 22.06/3.75 thf(zip_derived_cl763, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.75 X7 : $i, X8 : $i, X9 : $i]:
% 22.06/3.75 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.75 X7 @ X8 @ X9)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl413, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.75 zip_derived_cl677, zip_derived_cl711])).
% 22.06/3.75 thf(zip_derived_cl807, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.75 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 22.06/3.75 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.75 X6 @ X7 @ X8 @ X9 @ X10)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl390, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.75 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763])).
% 22.06/3.75 thf(zip_derived_cl857, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.75 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 22.06/3.75 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.75 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl363, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.75 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763,
% 22.06/3.75 zip_derived_cl807])).
% 22.06/3.75 thf(zip_derived_cl911, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.75 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 22.06/3.75 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.75 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl334, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.75 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763,
% 22.06/3.75 zip_derived_cl807, zip_derived_cl857])).
% 22.06/3.75 thf(zip_derived_cl969, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.75 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 22.06/3.75 (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.75 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl300, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.75 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763,
% 22.06/3.75 zip_derived_cl807, zip_derived_cl857, zip_derived_cl911])).
% 22.06/3.75 thf(zip_derived_cl1050, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.75 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 22.06/3.75 X14 : $i]:
% 22.06/3.75 (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.75 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl260, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.75 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763,
% 22.06/3.75 zip_derived_cl807, zip_derived_cl857, zip_derived_cl911,
% 22.06/3.75 zip_derived_cl969])).
% 22.06/3.75 thf(zip_derived_cl1586, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.75 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 22.06/3.75 X14 : $i, X15 : $i]:
% 22.06/3.75 ( (ssPv14_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 22.06/3.75 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15)
% 22.06/3.75 | ~ (ssPv14_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 22.06/3.75 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14))),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl183, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.75 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763,
% 22.06/3.75 zip_derived_cl807, zip_derived_cl857, zip_derived_cl911,
% 22.06/3.75 zip_derived_cl969, zip_derived_cl1050])).
% 22.06/3.75 thf(clause414, conjecture,
% 22.06/3.75 (~( ( ssPv18_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 22.06/3.75 X10 ) |
% 22.06/3.75 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 22.06/3.75 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 22.06/3.75 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 22.06/3.75 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 22.06/3.75 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 22.06/3.75 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 22.06/3.75 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 22.06/3.75 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 22.06/3.75 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 22.06/3.75 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 22.06/3.75 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 22.06/3.75 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 22.06/3.75 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 22.06/3.75 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 22.06/3.75 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 22.06/3.75 ( ~( ssPv14_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 22.06/3.75 X9 @ X10 ) ) |
% 22.06/3.75 ( ~( ssPv9_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 22.06/3.75 X9 @ X10 ) ) |
% 22.06/3.75 ( ~( ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 22.06/3.75 X9 @ X10 ) ) ))).
% 22.06/3.75 thf(zf_stmt_64, negated_conjecture,
% 22.06/3.75 (( ssPv18_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 ) |
% 22.06/3.75 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 22.06/3.75 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 22.06/3.75 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 22.06/3.75 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 22.06/3.75 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 22.06/3.75 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 22.06/3.75 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 22.06/3.75 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 22.06/3.75 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 22.06/3.75 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 22.06/3.75 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 22.06/3.75 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 22.06/3.75 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 22.06/3.75 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 22.06/3.75 ( ~( ssPv14_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 22.06/3.75 X10 ) ) |
% 22.06/3.75 ( ~( ssPv9_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 22.06/3.75 X10 ) ) |
% 22.06/3.75 ( ~( ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 22.06/3.75 X10 ) )),
% 22.06/3.75 inference('cnf.neg', [status(esa)], [clause414])).
% 22.06/3.75 thf(zip_derived_cl130, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.75 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 22.06/3.75 X14 : $i, X15 : $i]:
% 22.06/3.75 ( (ssPv18_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 22.06/3.75 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15)
% 22.06/3.75 | ~ (ssNder1_0)
% 22.06/3.75 | ~ (ssNder1_1r1 @ X0)
% 22.06/3.75 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 22.06/3.75 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 22.06/3.75 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 22.06/3.75 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 22.06/3.75 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 22.06/3.75 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 22.06/3.75 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.75 X7)
% 22.06/3.75 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.75 X6 @ X7 @ X8)
% 22.06/3.75 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.75 X6 @ X7 @ X8 @ X9)
% 22.06/3.75 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.75 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 22.06/3.75 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.75 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 22.06/3.75 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.75 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 22.06/3.75 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 22.06/3.75 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 22.06/3.75 | ~ (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 22.06/3.75 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 22.06/3.75 | ~ (ssPv14_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 22.06/3.75 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15)
% 22.06/3.75 | ~ (ssPv9_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 22.06/3.75 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15)
% 22.06/3.75 | ~ (ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 22.06/3.75 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15))),
% 22.06/3.75 inference('cnf', [status(esa)], [zf_stmt_64])).
% 22.06/3.75 thf(clause342, conjecture,
% 22.06/3.75 (~( ( ssPv18_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) |
% 22.06/3.75 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 22.06/3.75 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 22.06/3.75 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 22.06/3.75 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 22.06/3.75 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 22.06/3.75 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 22.06/3.75 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 22.06/3.75 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 22.06/3.75 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 22.06/3.75 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 22.06/3.75 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 22.06/3.75 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 22.06/3.75 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 22.06/3.75 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 22.06/3.75 ( ~( ssPv18_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 22.06/3.75 X9 @ X10 ) ) |
% 22.06/3.75 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) ))).
% 22.06/3.75 thf(zf_stmt_65, negated_conjecture,
% 22.06/3.75 (( ssPv18_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) |
% 22.06/3.75 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 22.06/3.75 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 22.06/3.75 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 22.06/3.75 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 22.06/3.75 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 22.06/3.75 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 22.06/3.75 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 22.06/3.75 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 22.06/3.75 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 22.06/3.75 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 22.06/3.75 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 22.06/3.75 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 22.06/3.75 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 22.06/3.75 ( ~( ssPv18_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 22.06/3.75 X10 ) ) |
% 22.06/3.75 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) )),
% 22.06/3.75 inference('cnf.neg', [status(esa)], [clause342])).
% 22.06/3.75 thf(zip_derived_cl202, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.75 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 22.06/3.75 X14 : $i, X15 : $i]:
% 22.06/3.75 ( (ssPv18_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.75 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 22.06/3.75 | ~ (ssNder1_0)
% 22.06/3.75 | ~ (ssNder1_1r1 @ X0)
% 22.06/3.75 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 22.06/3.75 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 22.06/3.75 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 22.06/3.75 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 22.06/3.75 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 22.06/3.75 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 22.06/3.75 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.75 X7)
% 22.06/3.75 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.75 X6 @ X7 @ X8)
% 22.06/3.75 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.75 X6 @ X7 @ X8 @ X9)
% 22.06/3.75 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.75 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 22.06/3.75 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.75 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 22.06/3.75 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.75 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 22.06/3.75 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 22.06/3.75 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 22.06/3.75 | ~ (ssPv18_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 22.06/3.75 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15)
% 22.06/3.75 | ~ (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 22.06/3.75 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14))),
% 22.06/3.75 inference('cnf', [status(esa)], [zf_stmt_65])).
% 22.06/3.75 thf(zip_derived_cl543, plain, ( (ssNder1_0)),
% 22.06/3.75 inference('cnf', [status(esa)], [zf_stmt_1])).
% 22.06/3.75 thf(zip_derived_cl549, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 22.06/3.75 inference('demod', [status(thm)], [zip_derived_cl542, zip_derived_cl543])).
% 22.06/3.75 thf(zip_derived_cl550, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl541, zip_derived_cl543, zip_derived_cl549])).
% 22.06/3.75 thf(zip_derived_cl556, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl535, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550])).
% 22.06/3.75 thf(zip_derived_cl574, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 22.06/3.75 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl526, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556])).
% 22.06/3.75 thf(zip_derived_cl595, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 22.06/3.75 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl512, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574])).
% 22.06/3.75 thf(zip_derived_cl619, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 22.06/3.75 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl497, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595])).
% 22.06/3.75 thf(zip_derived_cl646, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 22.06/3.75 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl480, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595, zip_derived_cl619])).
% 22.06/3.75 thf(zip_derived_cl677, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 22.06/3.75 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl461, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646])).
% 22.06/3.75 thf(zip_derived_cl711, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.75 X7 : $i, X8 : $i]:
% 22.06/3.75 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.75 X7 @ X8)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl439, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.75 zip_derived_cl677])).
% 22.06/3.75 thf(zip_derived_cl763, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.75 X7 : $i, X8 : $i, X9 : $i]:
% 22.06/3.75 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.75 X7 @ X8 @ X9)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl413, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.75 zip_derived_cl677, zip_derived_cl711])).
% 22.06/3.75 thf(zip_derived_cl807, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.75 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 22.06/3.75 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.75 X6 @ X7 @ X8 @ X9 @ X10)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl390, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.75 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763])).
% 22.06/3.75 thf(zip_derived_cl857, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.75 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 22.06/3.75 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.75 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl363, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.75 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763,
% 22.06/3.75 zip_derived_cl807])).
% 22.06/3.75 thf(zip_derived_cl911, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.75 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 22.06/3.75 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.75 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl334, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.75 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763,
% 22.06/3.75 zip_derived_cl807, zip_derived_cl857])).
% 22.06/3.75 thf(zip_derived_cl969, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.75 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 22.06/3.75 (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.75 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl300, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.75 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763,
% 22.06/3.75 zip_derived_cl807, zip_derived_cl857, zip_derived_cl911])).
% 22.06/3.75 thf(zip_derived_cl1050, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.75 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 22.06/3.75 X14 : $i]:
% 22.06/3.75 (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.75 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl260, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.75 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763,
% 22.06/3.75 zip_derived_cl807, zip_derived_cl857, zip_derived_cl911,
% 22.06/3.75 zip_derived_cl969])).
% 22.06/3.75 thf(zip_derived_cl1550, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.75 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 22.06/3.75 X14 : $i, X15 : $i]:
% 22.06/3.75 ( (ssPv18_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.75 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 22.06/3.75 | ~ (ssPv18_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 22.06/3.75 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15))),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl202, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.75 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763,
% 22.06/3.75 zip_derived_cl807, zip_derived_cl857, zip_derived_cl911,
% 22.06/3.75 zip_derived_cl969, zip_derived_cl1050])).
% 22.06/3.75 thf(clause322, conjecture,
% 22.06/3.75 (~( ( ssPv18_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) |
% 22.06/3.75 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 22.06/3.75 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 22.06/3.75 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 22.06/3.75 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 22.06/3.75 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 22.06/3.75 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 22.06/3.75 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 22.06/3.75 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 22.06/3.75 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 22.06/3.75 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 22.06/3.75 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 22.06/3.75 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 22.06/3.75 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 22.06/3.75 ( ~( ssPv18_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 22.06/3.75 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) ))).
% 22.06/3.75 thf(zf_stmt_66, negated_conjecture,
% 22.06/3.75 (( ssPv18_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) |
% 22.06/3.75 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 22.06/3.75 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 22.06/3.75 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 22.06/3.75 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 22.06/3.75 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 22.06/3.75 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 22.06/3.75 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 22.06/3.75 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 22.06/3.75 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 22.06/3.75 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 22.06/3.75 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 22.06/3.75 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 22.06/3.75 ( ~( ssPv18_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 22.06/3.75 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) )),
% 22.06/3.75 inference('cnf.neg', [status(esa)], [clause322])).
% 22.06/3.75 thf(zip_derived_cl222, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.75 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 22.06/3.75 X14 : $i]:
% 22.06/3.75 ( (ssPv18_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.75 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 22.06/3.75 | ~ (ssNder1_0)
% 22.06/3.75 | ~ (ssNder1_1r1 @ X0)
% 22.06/3.75 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 22.06/3.75 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 22.06/3.75 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 22.06/3.75 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 22.06/3.75 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 22.06/3.75 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 22.06/3.75 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.75 X7)
% 22.06/3.75 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.75 X6 @ X7 @ X8)
% 22.06/3.75 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.75 X6 @ X7 @ X8 @ X9)
% 22.06/3.75 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.75 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 22.06/3.75 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.75 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 22.06/3.75 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.75 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 22.06/3.75 | ~ (ssPv18_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 22.06/3.75 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 22.06/3.75 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 22.06/3.75 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13))),
% 22.06/3.75 inference('cnf', [status(esa)], [zf_stmt_66])).
% 22.06/3.75 thf(zip_derived_cl543, plain, ( (ssNder1_0)),
% 22.06/3.75 inference('cnf', [status(esa)], [zf_stmt_1])).
% 22.06/3.75 thf(zip_derived_cl549, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 22.06/3.75 inference('demod', [status(thm)], [zip_derived_cl542, zip_derived_cl543])).
% 22.06/3.75 thf(zip_derived_cl550, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl541, zip_derived_cl543, zip_derived_cl549])).
% 22.06/3.75 thf(zip_derived_cl556, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl535, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550])).
% 22.06/3.75 thf(zip_derived_cl574, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 22.06/3.75 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl526, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556])).
% 22.06/3.75 thf(zip_derived_cl595, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 22.06/3.75 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl512, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574])).
% 22.06/3.75 thf(zip_derived_cl619, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 22.06/3.75 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl497, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595])).
% 22.06/3.75 thf(zip_derived_cl646, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 22.06/3.75 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl480, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595, zip_derived_cl619])).
% 22.06/3.75 thf(zip_derived_cl677, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 22.06/3.75 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl461, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646])).
% 22.06/3.75 thf(zip_derived_cl711, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.75 X7 : $i, X8 : $i]:
% 22.06/3.75 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.75 X7 @ X8)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl439, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.75 zip_derived_cl677])).
% 22.06/3.75 thf(zip_derived_cl763, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.75 X7 : $i, X8 : $i, X9 : $i]:
% 22.06/3.75 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.75 X7 @ X8 @ X9)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl413, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.75 zip_derived_cl677, zip_derived_cl711])).
% 22.06/3.75 thf(zip_derived_cl807, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.75 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 22.06/3.75 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.75 X6 @ X7 @ X8 @ X9 @ X10)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl390, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.75 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763])).
% 22.06/3.75 thf(zip_derived_cl857, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.75 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 22.06/3.75 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.75 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl363, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.75 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763,
% 22.06/3.75 zip_derived_cl807])).
% 22.06/3.75 thf(zip_derived_cl911, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.75 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 22.06/3.75 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.75 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl334, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.75 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763,
% 22.06/3.75 zip_derived_cl807, zip_derived_cl857])).
% 22.06/3.75 thf(zip_derived_cl969, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.75 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 22.06/3.75 (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.75 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl300, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.75 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763,
% 22.06/3.75 zip_derived_cl807, zip_derived_cl857, zip_derived_cl911])).
% 22.06/3.75 thf(zip_derived_cl1060, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.75 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 22.06/3.75 X14 : $i]:
% 22.06/3.75 ( (ssPv18_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.75 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 22.06/3.75 | ~ (ssPv18_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 22.06/3.75 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14))),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl222, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.75 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763,
% 22.06/3.75 zip_derived_cl807, zip_derived_cl857, zip_derived_cl911,
% 22.06/3.75 zip_derived_cl969])).
% 22.06/3.75 thf(clause273, conjecture,
% 22.06/3.75 (~( ( ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) |
% 22.06/3.75 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 22.06/3.75 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 22.06/3.75 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 22.06/3.75 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 22.06/3.75 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 22.06/3.75 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 22.06/3.75 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 22.06/3.75 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 22.06/3.75 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 22.06/3.75 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 22.06/3.75 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 22.06/3.75 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 22.06/3.75 ( ~( ssPv18_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 22.06/3.75 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) ))).
% 22.06/3.75 thf(zf_stmt_67, negated_conjecture,
% 22.06/3.75 (( ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) |
% 22.06/3.75 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 22.06/3.75 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 22.06/3.75 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 22.06/3.75 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 22.06/3.75 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 22.06/3.75 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 22.06/3.75 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 22.06/3.75 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 22.06/3.75 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 22.06/3.75 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 22.06/3.75 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 22.06/3.75 ( ~( ssPv18_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 22.06/3.75 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) )),
% 22.06/3.75 inference('cnf.neg', [status(esa)], [clause273])).
% 22.06/3.75 thf(zip_derived_cl271, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.75 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 22.06/3.75 ( (ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.75 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 22.06/3.75 | ~ (ssNder1_0)
% 22.06/3.75 | ~ (ssNder1_1r1 @ X0)
% 22.06/3.75 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 22.06/3.75 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 22.06/3.75 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 22.06/3.75 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 22.06/3.75 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 22.06/3.75 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 22.06/3.75 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.75 X7)
% 22.06/3.75 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.75 X6 @ X7 @ X8)
% 22.06/3.75 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.75 X6 @ X7 @ X8 @ X9)
% 22.06/3.75 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.75 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 22.06/3.75 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.75 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 22.06/3.75 | ~ (ssPv18_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 22.06/3.75 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 22.06/3.75 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.75 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12))),
% 22.06/3.75 inference('cnf', [status(esa)], [zf_stmt_67])).
% 22.06/3.75 thf(zip_derived_cl543, plain, ( (ssNder1_0)),
% 22.06/3.75 inference('cnf', [status(esa)], [zf_stmt_1])).
% 22.06/3.75 thf(zip_derived_cl549, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 22.06/3.75 inference('demod', [status(thm)], [zip_derived_cl542, zip_derived_cl543])).
% 22.06/3.75 thf(zip_derived_cl550, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl541, zip_derived_cl543, zip_derived_cl549])).
% 22.06/3.75 thf(zip_derived_cl556, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl535, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550])).
% 22.06/3.75 thf(zip_derived_cl574, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 22.06/3.75 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl526, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556])).
% 22.06/3.75 thf(zip_derived_cl595, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 22.06/3.75 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl512, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574])).
% 22.06/3.75 thf(zip_derived_cl619, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 22.06/3.75 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl497, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595])).
% 22.06/3.75 thf(zip_derived_cl646, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 22.06/3.75 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl480, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595, zip_derived_cl619])).
% 22.06/3.75 thf(zip_derived_cl677, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 22.06/3.75 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl461, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646])).
% 22.06/3.75 thf(zip_derived_cl711, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.75 X7 : $i, X8 : $i]:
% 22.06/3.75 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.75 X7 @ X8)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl439, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.75 zip_derived_cl677])).
% 22.06/3.75 thf(zip_derived_cl763, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.75 X7 : $i, X8 : $i, X9 : $i]:
% 22.06/3.75 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.75 X7 @ X8 @ X9)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl413, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.75 zip_derived_cl677, zip_derived_cl711])).
% 22.06/3.75 thf(zip_derived_cl807, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.75 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 22.06/3.75 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.75 X6 @ X7 @ X8 @ X9 @ X10)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl390, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.75 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763])).
% 22.06/3.75 thf(zip_derived_cl857, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.75 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 22.06/3.75 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.75 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl363, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.75 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763,
% 22.06/3.75 zip_derived_cl807])).
% 22.06/3.75 thf(zip_derived_cl911, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.75 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 22.06/3.75 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.75 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl334, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.75 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763,
% 22.06/3.75 zip_derived_cl807, zip_derived_cl857])).
% 22.06/3.75 thf(zip_derived_cl1009, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.75 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 22.06/3.75 ( (ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.75 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 22.06/3.75 | ~ (ssPv18_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 22.06/3.75 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13))),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl271, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.75 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763,
% 22.06/3.75 zip_derived_cl807, zip_derived_cl857, zip_derived_cl911])).
% 22.06/3.75 thf(clause228, conjecture,
% 22.06/3.75 (~( ( ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) |
% 22.06/3.75 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 22.06/3.75 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 22.06/3.75 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 22.06/3.75 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 22.06/3.75 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 22.06/3.75 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 22.06/3.75 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 22.06/3.75 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 22.06/3.75 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 22.06/3.75 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 22.06/3.75 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 22.06/3.75 ( ~( ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 22.06/3.75 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) ))).
% 22.06/3.75 thf(zf_stmt_68, negated_conjecture,
% 22.06/3.75 (( ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) |
% 22.06/3.75 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 22.06/3.75 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 22.06/3.75 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 22.06/3.75 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 22.06/3.75 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 22.06/3.75 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 22.06/3.75 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 22.06/3.75 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 22.06/3.75 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 22.06/3.75 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 22.06/3.75 ( ~( ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 22.06/3.75 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) )),
% 22.06/3.75 inference('cnf.neg', [status(esa)], [clause228])).
% 22.06/3.75 thf(zip_derived_cl316, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.75 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 22.06/3.75 ( (ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.75 X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 22.06/3.75 | ~ (ssNder1_0)
% 22.06/3.75 | ~ (ssNder1_1r1 @ X0)
% 22.06/3.75 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 22.06/3.75 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 22.06/3.75 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 22.06/3.75 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 22.06/3.75 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 22.06/3.75 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 22.06/3.75 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.75 X7)
% 22.06/3.75 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.75 X6 @ X7 @ X8)
% 22.06/3.75 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.75 X6 @ X7 @ X8 @ X9)
% 22.06/3.75 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.75 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 22.06/3.75 | ~ (ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.75 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 22.06/3.75 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.75 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11))),
% 22.06/3.75 inference('cnf', [status(esa)], [zf_stmt_68])).
% 22.06/3.75 thf(zip_derived_cl543, plain, ( (ssNder1_0)),
% 22.06/3.75 inference('cnf', [status(esa)], [zf_stmt_1])).
% 22.06/3.75 thf(zip_derived_cl549, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 22.06/3.75 inference('demod', [status(thm)], [zip_derived_cl542, zip_derived_cl543])).
% 22.06/3.75 thf(zip_derived_cl550, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl541, zip_derived_cl543, zip_derived_cl549])).
% 22.06/3.75 thf(zip_derived_cl556, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl535, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550])).
% 22.06/3.75 thf(zip_derived_cl574, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 22.06/3.75 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl526, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556])).
% 22.06/3.75 thf(zip_derived_cl595, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 22.06/3.75 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl512, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574])).
% 22.06/3.75 thf(zip_derived_cl619, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 22.06/3.75 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl497, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595])).
% 22.06/3.75 thf(zip_derived_cl646, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 22.06/3.75 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl480, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595, zip_derived_cl619])).
% 22.06/3.75 thf(zip_derived_cl677, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 22.06/3.75 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl461, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646])).
% 22.06/3.75 thf(zip_derived_cl711, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.75 X7 : $i, X8 : $i]:
% 22.06/3.75 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.75 X7 @ X8)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl439, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.75 zip_derived_cl677])).
% 22.06/3.75 thf(zip_derived_cl763, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.75 X7 : $i, X8 : $i, X9 : $i]:
% 22.06/3.75 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.75 X7 @ X8 @ X9)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl413, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.75 zip_derived_cl677, zip_derived_cl711])).
% 22.06/3.75 thf(zip_derived_cl807, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.75 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 22.06/3.75 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.75 X6 @ X7 @ X8 @ X9 @ X10)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl390, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.75 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763])).
% 22.06/3.75 thf(zip_derived_cl857, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.75 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 22.06/3.75 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.75 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl363, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.75 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763,
% 22.06/3.75 zip_derived_cl807])).
% 22.06/3.75 thf(zip_derived_cl942, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.75 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 22.06/3.75 ( (ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.75 X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 22.06/3.75 | ~ (ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.75 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12))),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl316, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.75 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763,
% 22.06/3.75 zip_derived_cl807, zip_derived_cl857])).
% 22.06/3.75 thf(clause187, conjecture,
% 22.06/3.75 (~( ( ssPv18_11r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) |
% 22.06/3.75 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 22.06/3.75 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 22.06/3.75 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 22.06/3.75 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 22.06/3.75 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 22.06/3.75 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 22.06/3.75 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 22.06/3.75 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 22.06/3.75 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 22.06/3.75 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 22.06/3.75 ( ~( ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 22.06/3.75 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) ))).
% 22.06/3.75 thf(zf_stmt_69, negated_conjecture,
% 22.06/3.75 (( ssPv18_11r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) |
% 22.06/3.75 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 22.06/3.75 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 22.06/3.75 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 22.06/3.75 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 22.06/3.75 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 22.06/3.75 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 22.06/3.75 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 22.06/3.75 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 22.06/3.75 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 22.06/3.75 ( ~( ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 22.06/3.75 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) )),
% 22.06/3.75 inference('cnf.neg', [status(esa)], [clause187])).
% 22.06/3.75 thf(zip_derived_cl357, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.75 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 22.06/3.75 ( (ssPv18_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.75 X6 @ X7 @ X8 @ X9 @ X10)
% 22.06/3.75 | ~ (ssNder1_0)
% 22.06/3.75 | ~ (ssNder1_1r1 @ X0)
% 22.06/3.75 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 22.06/3.75 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 22.06/3.75 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 22.06/3.75 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 22.06/3.75 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 22.06/3.75 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 22.06/3.75 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.75 X7)
% 22.06/3.75 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.75 X6 @ X7 @ X8)
% 22.06/3.75 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.75 X6 @ X7 @ X8 @ X9)
% 22.06/3.75 | ~ (ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.75 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 22.06/3.75 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.75 X5 @ X6 @ X7 @ X8 @ X9 @ X10))),
% 22.06/3.75 inference('cnf', [status(esa)], [zf_stmt_69])).
% 22.06/3.75 thf(zip_derived_cl543, plain, ( (ssNder1_0)),
% 22.06/3.75 inference('cnf', [status(esa)], [zf_stmt_1])).
% 22.06/3.75 thf(zip_derived_cl549, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 22.06/3.75 inference('demod', [status(thm)], [zip_derived_cl542, zip_derived_cl543])).
% 22.06/3.75 thf(zip_derived_cl550, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl541, zip_derived_cl543, zip_derived_cl549])).
% 22.06/3.75 thf(zip_derived_cl556, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl535, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550])).
% 22.06/3.75 thf(zip_derived_cl574, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 22.06/3.75 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl526, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556])).
% 22.06/3.75 thf(zip_derived_cl595, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 22.06/3.75 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl512, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574])).
% 22.06/3.75 thf(zip_derived_cl619, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 22.06/3.75 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl497, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595])).
% 22.06/3.75 thf(zip_derived_cl646, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 22.06/3.75 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl480, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595, zip_derived_cl619])).
% 22.06/3.75 thf(zip_derived_cl677, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 22.06/3.75 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl461, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646])).
% 22.06/3.75 thf(zip_derived_cl711, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.75 X7 : $i, X8 : $i]:
% 22.06/3.75 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.75 X7 @ X8)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl439, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.75 zip_derived_cl677])).
% 22.06/3.75 thf(zip_derived_cl763, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.75 X7 : $i, X8 : $i, X9 : $i]:
% 22.06/3.75 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.75 X7 @ X8 @ X9)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl413, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.75 zip_derived_cl677, zip_derived_cl711])).
% 22.06/3.75 thf(zip_derived_cl807, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.75 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 22.06/3.75 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.75 X6 @ X7 @ X8 @ X9 @ X10)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl390, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.75 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763])).
% 22.06/3.75 thf(zip_derived_cl884, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.75 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 22.06/3.75 ( (ssPv18_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.75 X6 @ X7 @ X8 @ X9 @ X10)
% 22.06/3.75 | ~ (ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.75 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11))),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl357, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.75 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763,
% 22.06/3.75 zip_derived_cl807])).
% 22.06/3.75 thf(clause170, conjecture,
% 22.06/3.75 (~( ( ssPv18_10r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) |
% 22.06/3.75 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 22.06/3.75 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 22.06/3.75 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 22.06/3.75 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 22.06/3.75 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 22.06/3.75 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 22.06/3.75 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 22.06/3.75 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 22.06/3.75 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 22.06/3.75 ( ~( ssPv18_11r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 22.06/3.75 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) ))).
% 22.06/3.75 thf(zf_stmt_70, negated_conjecture,
% 22.06/3.75 (( ssPv18_10r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) |
% 22.06/3.75 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 22.06/3.75 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 22.06/3.75 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 22.06/3.75 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 22.06/3.75 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 22.06/3.75 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 22.06/3.75 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 22.06/3.75 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 22.06/3.75 ( ~( ssPv18_11r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 22.06/3.75 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) )),
% 22.06/3.75 inference('cnf.neg', [status(esa)], [clause170])).
% 22.06/3.75 thf(zip_derived_cl374, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.75 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 22.06/3.75 ( (ssPv18_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.75 X7 @ X8 @ X9)
% 22.06/3.75 | ~ (ssNder1_0)
% 22.06/3.75 | ~ (ssNder1_1r1 @ X0)
% 22.06/3.75 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 22.06/3.75 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 22.06/3.75 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 22.06/3.75 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 22.06/3.75 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 22.06/3.75 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 22.06/3.75 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.75 X7)
% 22.06/3.75 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.75 X6 @ X7 @ X8)
% 22.06/3.75 | ~ (ssPv18_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.75 X6 @ X7 @ X8 @ X9 @ X10)
% 22.06/3.75 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.75 X6 @ X7 @ X8 @ X9))),
% 22.06/3.75 inference('cnf', [status(esa)], [zf_stmt_70])).
% 22.06/3.75 thf(zip_derived_cl543, plain, ( (ssNder1_0)),
% 22.06/3.75 inference('cnf', [status(esa)], [zf_stmt_1])).
% 22.06/3.75 thf(zip_derived_cl549, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 22.06/3.75 inference('demod', [status(thm)], [zip_derived_cl542, zip_derived_cl543])).
% 22.06/3.75 thf(zip_derived_cl550, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl541, zip_derived_cl543, zip_derived_cl549])).
% 22.06/3.75 thf(zip_derived_cl556, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl535, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550])).
% 22.06/3.75 thf(zip_derived_cl574, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 22.06/3.75 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl526, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556])).
% 22.06/3.75 thf(zip_derived_cl595, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 22.06/3.75 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl512, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574])).
% 22.06/3.75 thf(zip_derived_cl619, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 22.06/3.75 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl497, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595])).
% 22.06/3.75 thf(zip_derived_cl646, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 22.06/3.75 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl480, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595, zip_derived_cl619])).
% 22.06/3.75 thf(zip_derived_cl677, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 22.06/3.75 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl461, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646])).
% 22.06/3.75 thf(zip_derived_cl711, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.75 X7 : $i, X8 : $i]:
% 22.06/3.75 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.75 X7 @ X8)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl439, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.75 zip_derived_cl677])).
% 22.06/3.75 thf(zip_derived_cl763, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.75 X7 : $i, X8 : $i, X9 : $i]:
% 22.06/3.75 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.75 X7 @ X8 @ X9)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl413, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.75 zip_derived_cl677, zip_derived_cl711])).
% 22.06/3.75 thf(zip_derived_cl826, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.75 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 22.06/3.75 ( (ssPv18_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.75 X7 @ X8 @ X9)
% 22.06/3.75 | ~ (ssPv18_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.75 X6 @ X7 @ X8 @ X9 @ X10))),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl374, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.75 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763])).
% 22.06/3.75 thf(clause138, conjecture,
% 22.06/3.75 (~( ( ssPv18_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) |
% 22.06/3.75 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 22.06/3.75 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 22.06/3.75 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 22.06/3.75 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 22.06/3.75 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 22.06/3.75 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 22.06/3.75 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 22.06/3.75 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 22.06/3.75 ( ~( ssPv18_10r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 22.06/3.75 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) ))).
% 22.06/3.75 thf(zf_stmt_71, negated_conjecture,
% 22.06/3.75 (( ssPv18_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) |
% 22.06/3.75 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 22.06/3.75 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 22.06/3.75 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 22.06/3.75 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 22.06/3.75 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 22.06/3.75 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 22.06/3.75 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 22.06/3.75 ( ~( ssPv18_10r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.75 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 22.06/3.75 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) )),
% 22.06/3.75 inference('cnf.neg', [status(esa)], [clause138])).
% 22.06/3.75 thf(zip_derived_cl406, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.75 X7 : $i, X8 : $i, X9 : $i]:
% 22.06/3.75 ( (ssPv18_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.75 X7 @ X8)
% 22.06/3.75 | ~ (ssNder1_0)
% 22.06/3.75 | ~ (ssNder1_1r1 @ X0)
% 22.06/3.75 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 22.06/3.75 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 22.06/3.75 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 22.06/3.75 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 22.06/3.75 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 22.06/3.75 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 22.06/3.75 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.75 X7)
% 22.06/3.75 | ~ (ssPv18_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.75 X6 @ X7 @ X8 @ X9)
% 22.06/3.75 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.75 X6 @ X7 @ X8))),
% 22.06/3.75 inference('cnf', [status(esa)], [zf_stmt_71])).
% 22.06/3.75 thf(zip_derived_cl543, plain, ( (ssNder1_0)),
% 22.06/3.75 inference('cnf', [status(esa)], [zf_stmt_1])).
% 22.06/3.75 thf(zip_derived_cl549, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 22.06/3.75 inference('demod', [status(thm)], [zip_derived_cl542, zip_derived_cl543])).
% 22.06/3.75 thf(zip_derived_cl550, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl541, zip_derived_cl543, zip_derived_cl549])).
% 22.06/3.75 thf(zip_derived_cl556, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl535, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550])).
% 22.06/3.75 thf(zip_derived_cl574, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 22.06/3.75 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl526, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556])).
% 22.06/3.75 thf(zip_derived_cl595, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 22.06/3.75 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl512, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574])).
% 22.06/3.75 thf(zip_derived_cl619, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 22.06/3.75 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl497, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595])).
% 22.06/3.75 thf(zip_derived_cl646, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 22.06/3.75 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl480, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595, zip_derived_cl619])).
% 22.06/3.75 thf(zip_derived_cl677, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 22.06/3.75 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl461, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646])).
% 22.06/3.75 thf(zip_derived_cl711, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.75 X7 : $i, X8 : $i]:
% 22.06/3.75 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.75 X7 @ X8)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl439, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.75 zip_derived_cl677])).
% 22.06/3.75 thf(zip_derived_cl786, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.75 X7 : $i, X8 : $i, X9 : $i]:
% 22.06/3.75 ( (ssPv18_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.75 X7 @ X8)
% 22.06/3.75 | ~ (ssPv18_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.75 X6 @ X7 @ X8 @ X9))),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl406, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.75 zip_derived_cl677, zip_derived_cl711])).
% 22.06/3.75 thf(clause126, conjecture,
% 22.06/3.75 (~( ( ssPv18_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) |
% 22.06/3.75 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 22.06/3.75 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 22.06/3.75 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 22.06/3.75 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 22.06/3.75 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 22.06/3.75 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 22.06/3.75 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 22.06/3.75 ( ~( ssPv18_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 22.06/3.75 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) ))).
% 22.06/3.75 thf(zf_stmt_72, negated_conjecture,
% 22.06/3.75 (( ssPv18_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) |
% 22.06/3.75 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 22.06/3.75 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 22.06/3.75 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 22.06/3.75 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 22.06/3.75 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 22.06/3.75 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 22.06/3.75 ( ~( ssPv18_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 22.06/3.75 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) )),
% 22.06/3.75 inference('cnf.neg', [status(esa)], [clause126])).
% 22.06/3.75 thf(zip_derived_cl418, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.75 X7 : $i, X8 : $i]:
% 22.06/3.75 ( (ssPv18_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)
% 22.06/3.75 | ~ (ssNder1_0)
% 22.06/3.75 | ~ (ssNder1_1r1 @ X0)
% 22.06/3.75 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 22.06/3.75 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 22.06/3.75 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 22.06/3.75 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 22.06/3.75 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 22.06/3.75 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 22.06/3.75 | ~ (ssPv18_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.75 X7 @ X8)
% 22.06/3.75 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.75 X7))),
% 22.06/3.75 inference('cnf', [status(esa)], [zf_stmt_72])).
% 22.06/3.75 thf(zip_derived_cl543, plain, ( (ssNder1_0)),
% 22.06/3.75 inference('cnf', [status(esa)], [zf_stmt_1])).
% 22.06/3.75 thf(zip_derived_cl549, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 22.06/3.75 inference('demod', [status(thm)], [zip_derived_cl542, zip_derived_cl543])).
% 22.06/3.75 thf(zip_derived_cl550, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl541, zip_derived_cl543, zip_derived_cl549])).
% 22.06/3.75 thf(zip_derived_cl556, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl535, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550])).
% 22.06/3.75 thf(zip_derived_cl574, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 22.06/3.75 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl526, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556])).
% 22.06/3.75 thf(zip_derived_cl595, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 22.06/3.75 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl512, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574])).
% 22.06/3.75 thf(zip_derived_cl619, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 22.06/3.75 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl497, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595])).
% 22.06/3.75 thf(zip_derived_cl646, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 22.06/3.75 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl480, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595, zip_derived_cl619])).
% 22.06/3.75 thf(zip_derived_cl677, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 22.06/3.75 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl461, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646])).
% 22.06/3.75 thf(zip_derived_cl730, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.75 X7 : $i, X8 : $i]:
% 22.06/3.75 ( (ssPv18_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)
% 22.06/3.75 | ~ (ssPv18_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.75 X7 @ X8))),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl418, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.75 zip_derived_cl677])).
% 22.06/3.75 thf(clause100, conjecture,
% 22.06/3.75 (~( ( ssPv18_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) |
% 22.06/3.75 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 22.06/3.75 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 22.06/3.75 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 22.06/3.75 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 22.06/3.75 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 22.06/3.75 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 22.06/3.75 ( ~( ssPv18_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 22.06/3.75 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) ))).
% 22.06/3.75 thf(zf_stmt_73, negated_conjecture,
% 22.06/3.75 (( ssPv18_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) |
% 22.06/3.75 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 22.06/3.75 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 22.06/3.75 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 22.06/3.75 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 22.06/3.75 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 22.06/3.75 ( ~( ssPv18_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 22.06/3.75 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) )),
% 22.06/3.75 inference('cnf.neg', [status(esa)], [clause100])).
% 22.06/3.75 thf(zip_derived_cl444, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 22.06/3.75 ( (ssPv18_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 22.06/3.75 | ~ (ssNder1_0)
% 22.06/3.75 | ~ (ssNder1_1r1 @ X0)
% 22.06/3.75 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 22.06/3.75 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 22.06/3.75 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 22.06/3.75 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 22.06/3.75 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 22.06/3.75 | ~ (ssPv18_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)
% 22.06/3.75 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6))),
% 22.06/3.75 inference('cnf', [status(esa)], [zf_stmt_73])).
% 22.06/3.75 thf(zip_derived_cl543, plain, ( (ssNder1_0)),
% 22.06/3.75 inference('cnf', [status(esa)], [zf_stmt_1])).
% 22.06/3.75 thf(zip_derived_cl549, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 22.06/3.75 inference('demod', [status(thm)], [zip_derived_cl542, zip_derived_cl543])).
% 22.06/3.75 thf(zip_derived_cl550, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl541, zip_derived_cl543, zip_derived_cl549])).
% 22.06/3.75 thf(zip_derived_cl556, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl535, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550])).
% 22.06/3.75 thf(zip_derived_cl574, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 22.06/3.75 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl526, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556])).
% 22.06/3.75 thf(zip_derived_cl595, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 22.06/3.75 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl512, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574])).
% 22.06/3.75 thf(zip_derived_cl619, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 22.06/3.75 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl497, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595])).
% 22.06/3.75 thf(zip_derived_cl646, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 22.06/3.75 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl480, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595, zip_derived_cl619])).
% 22.06/3.75 thf(zip_derived_cl694, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 22.06/3.75 ( (ssPv18_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 22.06/3.75 | ~ (ssPv18_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7))),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl444, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646])).
% 22.06/3.75 thf(clause78, conjecture,
% 22.06/3.75 (~( ( ssPv18_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) |
% 22.06/3.75 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 22.06/3.75 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 22.06/3.75 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 22.06/3.75 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 22.06/3.75 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 22.06/3.75 ( ~( ssPv18_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 22.06/3.75 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) ))).
% 22.06/3.75 thf(zf_stmt_74, negated_conjecture,
% 22.06/3.75 (( ssPv18_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) | ( ~( ssNder1_0 ) ) |
% 22.06/3.75 ( ~( ssNder1_1r1 @ U ) ) | ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 22.06/3.75 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 22.06/3.75 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 22.06/3.75 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 22.06/3.75 ( ~( ssPv18_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 22.06/3.75 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) )),
% 22.06/3.75 inference('cnf.neg', [status(esa)], [clause78])).
% 22.06/3.75 thf(zip_derived_cl466, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 22.06/3.75 ( (ssPv18_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 22.06/3.75 | ~ (ssNder1_0)
% 22.06/3.75 | ~ (ssNder1_1r1 @ X0)
% 22.06/3.75 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 22.06/3.75 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 22.06/3.75 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 22.06/3.75 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 22.06/3.75 | ~ (ssPv18_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 22.06/3.75 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5))),
% 22.06/3.75 inference('cnf', [status(esa)], [zf_stmt_74])).
% 22.06/3.75 thf(zip_derived_cl543, plain, ( (ssNder1_0)),
% 22.06/3.75 inference('cnf', [status(esa)], [zf_stmt_1])).
% 22.06/3.75 thf(zip_derived_cl549, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 22.06/3.75 inference('demod', [status(thm)], [zip_derived_cl542, zip_derived_cl543])).
% 22.06/3.75 thf(zip_derived_cl550, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl541, zip_derived_cl543, zip_derived_cl549])).
% 22.06/3.75 thf(zip_derived_cl556, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl535, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550])).
% 22.06/3.75 thf(zip_derived_cl574, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 22.06/3.75 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl526, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556])).
% 22.06/3.75 thf(zip_derived_cl595, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 22.06/3.75 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl512, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574])).
% 22.06/3.75 thf(zip_derived_cl619, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 22.06/3.75 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl497, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595])).
% 22.06/3.75 thf(zip_derived_cl662, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 22.06/3.75 ( (ssPv18_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 22.06/3.75 | ~ (ssPv18_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6))),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl466, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595, zip_derived_cl619])).
% 22.06/3.75 thf(clause57, conjecture,
% 22.06/3.75 (~( ( ssPv18_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) | ( ~( ssNder1_0 ) ) |
% 22.06/3.75 ( ~( ssNder1_1r1 @ U ) ) | ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 22.06/3.75 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 22.06/3.75 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 22.06/3.75 ( ~( ssPv18_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 22.06/3.75 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) ))).
% 22.06/3.75 thf(zf_stmt_75, negated_conjecture,
% 22.06/3.75 (( ssPv18_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) | ( ~( ssNder1_0 ) ) |
% 22.06/3.75 ( ~( ssNder1_1r1 @ U ) ) | ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 22.06/3.75 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 22.06/3.75 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 22.06/3.75 ( ~( ssPv18_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 22.06/3.75 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) )),
% 22.06/3.75 inference('cnf.neg', [status(esa)], [clause57])).
% 22.06/3.75 thf(zip_derived_cl487, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 22.06/3.75 ( (ssPv18_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 22.06/3.75 | ~ (ssNder1_0)
% 22.06/3.75 | ~ (ssNder1_1r1 @ X0)
% 22.06/3.75 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 22.06/3.75 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 22.06/3.75 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 22.06/3.75 | ~ (ssPv18_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 22.06/3.75 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4))),
% 22.06/3.75 inference('cnf', [status(esa)], [zf_stmt_75])).
% 22.06/3.75 thf(zip_derived_cl543, plain, ( (ssNder1_0)),
% 22.06/3.75 inference('cnf', [status(esa)], [zf_stmt_1])).
% 22.06/3.75 thf(zip_derived_cl549, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 22.06/3.75 inference('demod', [status(thm)], [zip_derived_cl542, zip_derived_cl543])).
% 22.06/3.75 thf(zip_derived_cl550, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl541, zip_derived_cl543, zip_derived_cl549])).
% 22.06/3.75 thf(zip_derived_cl556, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl535, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550])).
% 22.06/3.75 thf(zip_derived_cl574, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 22.06/3.75 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl526, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556])).
% 22.06/3.75 thf(zip_derived_cl595, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 22.06/3.75 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl512, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574])).
% 22.06/3.75 thf(zip_derived_cl633, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 22.06/3.75 ( (ssPv18_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 22.06/3.75 | ~ (ssPv18_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5))),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl487, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.75 zip_derived_cl595])).
% 22.06/3.75 thf(clause40, conjecture,
% 22.06/3.75 (~( ( ssPv18_4r1r1r1r1 @ U @ V @ W @ X ) | ( ~( ssNder1_0 ) ) |
% 22.06/3.75 ( ~( ssNder1_1r1 @ U ) ) | ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 22.06/3.75 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 22.06/3.75 ( ~( ssPv18_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 22.06/3.75 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) ))).
% 22.06/3.75 thf(zf_stmt_76, negated_conjecture,
% 22.06/3.75 (( ssPv18_4r1r1r1r1 @ U @ V @ W @ X ) | ( ~( ssNder1_0 ) ) |
% 22.06/3.75 ( ~( ssNder1_1r1 @ U ) ) | ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 22.06/3.75 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 22.06/3.75 ( ~( ssPv18_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 22.06/3.75 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) )),
% 22.06/3.75 inference('cnf.neg', [status(esa)], [clause40])).
% 22.06/3.75 thf(zip_derived_cl504, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 22.06/3.75 ( (ssPv18_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 22.06/3.75 | ~ (ssNder1_0)
% 22.06/3.75 | ~ (ssNder1_1r1 @ X0)
% 22.06/3.75 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 22.06/3.75 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 22.06/3.75 | ~ (ssPv18_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 22.06/3.75 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3))),
% 22.06/3.75 inference('cnf', [status(esa)], [zf_stmt_76])).
% 22.06/3.75 thf(zip_derived_cl543, plain, ( (ssNder1_0)),
% 22.06/3.75 inference('cnf', [status(esa)], [zf_stmt_1])).
% 22.06/3.75 thf(zip_derived_cl549, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 22.06/3.75 inference('demod', [status(thm)], [zip_derived_cl542, zip_derived_cl543])).
% 22.06/3.75 thf(zip_derived_cl550, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl541, zip_derived_cl543, zip_derived_cl549])).
% 22.06/3.75 thf(zip_derived_cl556, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl535, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550])).
% 22.06/3.75 thf(zip_derived_cl574, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 22.06/3.75 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl526, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556])).
% 22.06/3.75 thf(zip_derived_cl606, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 22.06/3.75 ( (ssPv18_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 22.06/3.75 | ~ (ssPv18_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4))),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl504, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574])).
% 22.06/3.75 thf(clause44, conjecture,
% 22.06/3.75 (~( ( ssPv18_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) | ( ~( ssNder1_0 ) ) |
% 22.06/3.75 ( ~( ssNder1_1r1 @ U ) ) | ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 22.06/3.75 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 22.06/3.75 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 22.06/3.75 ( ~( ssPv18_4r1r1r1r1 @ U @ V @ W @ X ) ) ))).
% 22.06/3.75 thf(zf_stmt_77, negated_conjecture,
% 22.06/3.75 (( ssPv18_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) | ( ~( ssNder1_0 ) ) |
% 22.06/3.75 ( ~( ssNder1_1r1 @ U ) ) | ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 22.06/3.75 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 22.06/3.75 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 22.06/3.75 ( ~( ssPv18_4r1r1r1r1 @ U @ V @ W @ X ) )),
% 22.06/3.75 inference('cnf.neg', [status(esa)], [clause44])).
% 22.06/3.75 thf(zip_derived_cl500, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 22.06/3.75 ( (ssPv18_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 22.06/3.75 | ~ (ssNder1_0)
% 22.06/3.75 | ~ (ssNder1_1r1 @ X0)
% 22.06/3.75 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 22.06/3.75 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 22.06/3.75 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 22.06/3.75 | ~ (ssPv18_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3))),
% 22.06/3.75 inference('cnf', [status(esa)], [zf_stmt_77])).
% 22.06/3.75 thf(zip_derived_cl543, plain, ( (ssNder1_0)),
% 22.06/3.75 inference('cnf', [status(esa)], [zf_stmt_1])).
% 22.06/3.75 thf(zip_derived_cl549, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 22.06/3.75 inference('demod', [status(thm)], [zip_derived_cl542, zip_derived_cl543])).
% 22.06/3.75 thf(zip_derived_cl550, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl541, zip_derived_cl543, zip_derived_cl549])).
% 22.06/3.75 thf(zip_derived_cl556, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl535, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550])).
% 22.06/3.75 thf(zip_derived_cl574, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 22.06/3.75 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl526, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556])).
% 22.06/3.75 thf(zip_derived_cl610, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 22.06/3.75 ( (ssPv18_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 22.06/3.75 | ~ (ssPv18_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3))),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl500, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574])).
% 22.06/3.75 thf(clause62, conjecture,
% 22.06/3.75 (~( ( ssPv18_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) |
% 22.06/3.75 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 22.06/3.75 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 22.06/3.75 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 22.06/3.75 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 22.06/3.75 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 22.06/3.75 ( ~( ssPv18_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) ))).
% 22.06/3.75 thf(zf_stmt_78, negated_conjecture,
% 22.06/3.75 (( ssPv18_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) | ( ~( ssNder1_0 ) ) |
% 22.06/3.75 ( ~( ssNder1_1r1 @ U ) ) | ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 22.06/3.75 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 22.06/3.75 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 22.06/3.75 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 22.06/3.75 ( ~( ssPv18_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) )),
% 22.06/3.75 inference('cnf.neg', [status(esa)], [clause62])).
% 22.06/3.75 thf(zip_derived_cl482, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 22.06/3.75 ( (ssPv18_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 22.06/3.75 | ~ (ssNder1_0)
% 22.06/3.75 | ~ (ssNder1_1r1 @ X0)
% 22.06/3.75 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 22.06/3.75 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 22.06/3.75 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 22.06/3.75 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 22.06/3.75 | ~ (ssPv18_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4))),
% 22.06/3.75 inference('cnf', [status(esa)], [zf_stmt_78])).
% 22.06/3.75 thf(zip_derived_cl543, plain, ( (ssNder1_0)),
% 22.06/3.75 inference('cnf', [status(esa)], [zf_stmt_1])).
% 22.06/3.75 thf(zip_derived_cl549, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 22.06/3.75 inference('demod', [status(thm)], [zip_derived_cl542, zip_derived_cl543])).
% 22.06/3.75 thf(zip_derived_cl550, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl541, zip_derived_cl543, zip_derived_cl549])).
% 22.06/3.75 thf(zip_derived_cl556, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl535, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550])).
% 22.06/3.75 thf(zip_derived_cl574, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 22.06/3.75 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl526, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556])).
% 22.06/3.75 thf(zip_derived_cl595, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 22.06/3.75 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl512, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574])).
% 22.06/3.75 thf(zip_derived_cl636, plain,
% 22.06/3.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 22.06/3.75 ( (ssPv18_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 22.06/3.75 | ~ (ssPv18_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4))),
% 22.06/3.75 inference('demod', [status(thm)],
% 22.06/3.75 [zip_derived_cl482, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.75 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.76 zip_derived_cl595])).
% 22.06/3.76 thf(clause72, conjecture,
% 22.06/3.76 (~( ( ssPv18_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) |
% 22.06/3.76 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 22.06/3.76 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 22.06/3.76 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 22.06/3.76 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 22.06/3.76 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 22.06/3.76 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 22.06/3.76 ( ~( ssPv18_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) ))).
% 22.06/3.76 thf(zf_stmt_79, negated_conjecture,
% 22.06/3.76 (( ssPv18_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) |
% 22.06/3.76 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 22.06/3.76 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 22.06/3.76 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 22.06/3.76 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 22.06/3.76 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 22.06/3.76 ( ~( ssPv18_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) )),
% 22.06/3.76 inference('cnf.neg', [status(esa)], [clause72])).
% 22.06/3.76 thf(zip_derived_cl472, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 22.06/3.76 ( (ssPv18_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 22.06/3.76 | ~ (ssNder1_0)
% 22.06/3.76 | ~ (ssNder1_1r1 @ X0)
% 22.06/3.76 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 22.06/3.76 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 22.06/3.76 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 22.06/3.76 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 22.06/3.76 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 22.06/3.76 | ~ (ssPv18_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5))),
% 22.06/3.76 inference('cnf', [status(esa)], [zf_stmt_79])).
% 22.06/3.76 thf(zip_derived_cl543, plain, ( (ssNder1_0)),
% 22.06/3.76 inference('cnf', [status(esa)], [zf_stmt_1])).
% 22.06/3.76 thf(zip_derived_cl549, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 22.06/3.76 inference('demod', [status(thm)], [zip_derived_cl542, zip_derived_cl543])).
% 22.06/3.76 thf(zip_derived_cl550, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl541, zip_derived_cl543, zip_derived_cl549])).
% 22.06/3.76 thf(zip_derived_cl556, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl535, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550])).
% 22.06/3.76 thf(zip_derived_cl574, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 22.06/3.76 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl526, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556])).
% 22.06/3.76 thf(zip_derived_cl595, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 22.06/3.76 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl512, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574])).
% 22.06/3.76 thf(zip_derived_cl619, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 22.06/3.76 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl497, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.76 zip_derived_cl595])).
% 22.06/3.76 thf(zip_derived_cl673, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 22.06/3.76 ( (ssPv18_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 22.06/3.76 | ~ (ssPv18_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5))),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl472, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.76 zip_derived_cl595, zip_derived_cl619])).
% 22.06/3.76 thf(clause93, conjecture,
% 22.06/3.76 (~( ( ssPv18_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) |
% 22.06/3.76 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 22.06/3.76 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 22.06/3.76 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 22.06/3.76 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 22.06/3.76 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 22.06/3.76 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 22.06/3.76 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 22.06/3.76 ( ~( ssPv18_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) ))).
% 22.06/3.76 thf(zf_stmt_80, negated_conjecture,
% 22.06/3.76 (( ssPv18_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) |
% 22.06/3.76 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 22.06/3.76 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 22.06/3.76 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 22.06/3.76 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 22.06/3.76 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 22.06/3.76 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 22.06/3.76 ( ~( ssPv18_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) )),
% 22.06/3.76 inference('cnf.neg', [status(esa)], [clause93])).
% 22.06/3.76 thf(zip_derived_cl451, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 22.06/3.76 ( (ssPv18_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)
% 22.06/3.76 | ~ (ssNder1_0)
% 22.06/3.76 | ~ (ssNder1_1r1 @ X0)
% 22.06/3.76 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 22.06/3.76 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 22.06/3.76 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 22.06/3.76 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 22.06/3.76 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 22.06/3.76 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 22.06/3.76 | ~ (ssPv18_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6))),
% 22.06/3.76 inference('cnf', [status(esa)], [zf_stmt_80])).
% 22.06/3.76 thf(zip_derived_cl543, plain, ( (ssNder1_0)),
% 22.06/3.76 inference('cnf', [status(esa)], [zf_stmt_1])).
% 22.06/3.76 thf(zip_derived_cl549, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 22.06/3.76 inference('demod', [status(thm)], [zip_derived_cl542, zip_derived_cl543])).
% 22.06/3.76 thf(zip_derived_cl550, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl541, zip_derived_cl543, zip_derived_cl549])).
% 22.06/3.76 thf(zip_derived_cl556, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl535, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550])).
% 22.06/3.76 thf(zip_derived_cl574, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 22.06/3.76 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl526, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556])).
% 22.06/3.76 thf(zip_derived_cl595, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 22.06/3.76 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl512, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574])).
% 22.06/3.76 thf(zip_derived_cl619, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 22.06/3.76 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl497, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.76 zip_derived_cl595])).
% 22.06/3.76 thf(zip_derived_cl646, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 22.06/3.76 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl480, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.76 zip_derived_cl595, zip_derived_cl619])).
% 22.06/3.76 thf(zip_derived_cl705, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 22.06/3.76 ( (ssPv18_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)
% 22.06/3.76 | ~ (ssPv18_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6))),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl451, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.76 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646])).
% 22.06/3.76 thf(clause118, conjecture,
% 22.06/3.76 (~( ( ssPv18_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) |
% 22.06/3.76 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 22.06/3.76 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 22.06/3.76 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 22.06/3.76 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 22.06/3.76 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 22.06/3.76 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 22.06/3.76 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 22.06/3.76 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 22.06/3.76 ( ~( ssPv18_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) ))).
% 22.06/3.76 thf(zf_stmt_81, negated_conjecture,
% 22.06/3.76 (( ssPv18_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) |
% 22.06/3.76 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 22.06/3.76 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 22.06/3.76 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 22.06/3.76 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 22.06/3.76 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 22.06/3.76 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 22.06/3.76 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 22.06/3.76 ( ~( ssPv18_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) )),
% 22.06/3.76 inference('cnf.neg', [status(esa)], [clause118])).
% 22.06/3.76 thf(zip_derived_cl426, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.76 X7 : $i, X8 : $i]:
% 22.06/3.76 ( (ssPv18_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.76 X7 @ X8)
% 22.06/3.76 | ~ (ssNder1_0)
% 22.06/3.76 | ~ (ssNder1_1r1 @ X0)
% 22.06/3.76 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 22.06/3.76 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 22.06/3.76 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 22.06/3.76 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 22.06/3.76 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 22.06/3.76 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 22.06/3.76 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.76 X7)
% 22.06/3.76 | ~ (ssPv18_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7))),
% 22.06/3.76 inference('cnf', [status(esa)], [zf_stmt_81])).
% 22.06/3.76 thf(zip_derived_cl543, plain, ( (ssNder1_0)),
% 22.06/3.76 inference('cnf', [status(esa)], [zf_stmt_1])).
% 22.06/3.76 thf(zip_derived_cl549, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 22.06/3.76 inference('demod', [status(thm)], [zip_derived_cl542, zip_derived_cl543])).
% 22.06/3.76 thf(zip_derived_cl550, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl541, zip_derived_cl543, zip_derived_cl549])).
% 22.06/3.76 thf(zip_derived_cl556, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl535, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550])).
% 22.06/3.76 thf(zip_derived_cl574, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 22.06/3.76 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl526, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556])).
% 22.06/3.76 thf(zip_derived_cl595, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 22.06/3.76 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl512, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574])).
% 22.06/3.76 thf(zip_derived_cl619, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 22.06/3.76 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl497, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.76 zip_derived_cl595])).
% 22.06/3.76 thf(zip_derived_cl646, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 22.06/3.76 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl480, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.76 zip_derived_cl595, zip_derived_cl619])).
% 22.06/3.76 thf(zip_derived_cl677, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 22.06/3.76 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl461, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.76 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646])).
% 22.06/3.76 thf(zip_derived_cl757, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.76 X7 : $i, X8 : $i]:
% 22.06/3.76 ( (ssPv18_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.76 X7 @ X8)
% 22.06/3.76 | ~ (ssPv18_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7))),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl426, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.76 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.76 zip_derived_cl677])).
% 22.06/3.76 thf(clause147, conjecture,
% 22.06/3.76 (~( ( ssPv18_10r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) |
% 22.06/3.76 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 22.06/3.76 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 22.06/3.76 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 22.06/3.76 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 22.06/3.76 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 22.06/3.76 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 22.06/3.76 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 22.06/3.76 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 22.06/3.76 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 22.06/3.76 ( ~( ssPv18_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) ))).
% 22.06/3.76 thf(zf_stmt_82, negated_conjecture,
% 22.06/3.76 (( ssPv18_10r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) |
% 22.06/3.76 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 22.06/3.76 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 22.06/3.76 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 22.06/3.76 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 22.06/3.76 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 22.06/3.76 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 22.06/3.76 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 22.06/3.76 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 22.06/3.76 ( ~( ssPv18_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) )),
% 22.06/3.76 inference('cnf.neg', [status(esa)], [clause147])).
% 22.06/3.76 thf(zip_derived_cl397, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.76 X7 : $i, X8 : $i, X9 : $i]:
% 22.06/3.76 ( (ssPv18_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.76 X7 @ X8 @ X9)
% 22.06/3.76 | ~ (ssNder1_0)
% 22.06/3.76 | ~ (ssNder1_1r1 @ X0)
% 22.06/3.76 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 22.06/3.76 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 22.06/3.76 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 22.06/3.76 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 22.06/3.76 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 22.06/3.76 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 22.06/3.76 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.76 X7)
% 22.06/3.76 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.76 X6 @ X7 @ X8)
% 22.06/3.76 | ~ (ssPv18_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.76 X7 @ X8))),
% 22.06/3.76 inference('cnf', [status(esa)], [zf_stmt_82])).
% 22.06/3.76 thf(zip_derived_cl543, plain, ( (ssNder1_0)),
% 22.06/3.76 inference('cnf', [status(esa)], [zf_stmt_1])).
% 22.06/3.76 thf(zip_derived_cl549, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 22.06/3.76 inference('demod', [status(thm)], [zip_derived_cl542, zip_derived_cl543])).
% 22.06/3.76 thf(zip_derived_cl550, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl541, zip_derived_cl543, zip_derived_cl549])).
% 22.06/3.76 thf(zip_derived_cl556, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl535, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550])).
% 22.06/3.76 thf(zip_derived_cl574, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 22.06/3.76 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl526, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556])).
% 22.06/3.76 thf(zip_derived_cl595, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 22.06/3.76 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl512, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574])).
% 22.06/3.76 thf(zip_derived_cl619, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 22.06/3.76 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl497, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.76 zip_derived_cl595])).
% 22.06/3.76 thf(zip_derived_cl646, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 22.06/3.76 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl480, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.76 zip_derived_cl595, zip_derived_cl619])).
% 22.06/3.76 thf(zip_derived_cl677, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 22.06/3.76 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl461, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.76 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646])).
% 22.06/3.76 thf(zip_derived_cl711, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.76 X7 : $i, X8 : $i]:
% 22.06/3.76 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.76 X7 @ X8)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl439, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.76 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.76 zip_derived_cl677])).
% 22.06/3.76 thf(zip_derived_cl800, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.76 X7 : $i, X8 : $i, X9 : $i]:
% 22.06/3.76 ( (ssPv18_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.76 X7 @ X8 @ X9)
% 22.06/3.76 | ~ (ssPv18_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.76 X7 @ X8))),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl397, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.76 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.76 zip_derived_cl677, zip_derived_cl711])).
% 22.06/3.76 thf(clause160, conjecture,
% 22.06/3.76 (~( ( ssPv18_11r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) |
% 22.06/3.76 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 22.06/3.76 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 22.06/3.76 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 22.06/3.76 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 22.06/3.76 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 22.06/3.76 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 22.06/3.76 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 22.06/3.76 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 22.06/3.76 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 22.06/3.76 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 22.06/3.76 ( ~( ssPv18_10r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) ))).
% 22.06/3.76 thf(zf_stmt_83, negated_conjecture,
% 22.06/3.76 (( ssPv18_11r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) |
% 22.06/3.76 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 22.06/3.76 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 22.06/3.76 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 22.06/3.76 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 22.06/3.76 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 22.06/3.76 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 22.06/3.76 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 22.06/3.76 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 22.06/3.76 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 22.06/3.76 ( ~( ssPv18_10r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) )),
% 22.06/3.76 inference('cnf.neg', [status(esa)], [clause160])).
% 22.06/3.76 thf(zip_derived_cl384, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.76 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 22.06/3.76 ( (ssPv18_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.76 X6 @ X7 @ X8 @ X9 @ X10)
% 22.06/3.76 | ~ (ssNder1_0)
% 22.06/3.76 | ~ (ssNder1_1r1 @ X0)
% 22.06/3.76 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 22.06/3.76 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 22.06/3.76 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 22.06/3.76 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 22.06/3.76 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 22.06/3.76 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 22.06/3.76 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.76 X7)
% 22.06/3.76 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.76 X6 @ X7 @ X8)
% 22.06/3.76 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.76 X6 @ X7 @ X8 @ X9)
% 22.06/3.76 | ~ (ssPv18_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.76 X6 @ X7 @ X8 @ X9))),
% 22.06/3.76 inference('cnf', [status(esa)], [zf_stmt_83])).
% 22.06/3.76 thf(zip_derived_cl543, plain, ( (ssNder1_0)),
% 22.06/3.76 inference('cnf', [status(esa)], [zf_stmt_1])).
% 22.06/3.76 thf(zip_derived_cl549, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 22.06/3.76 inference('demod', [status(thm)], [zip_derived_cl542, zip_derived_cl543])).
% 22.06/3.76 thf(zip_derived_cl550, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl541, zip_derived_cl543, zip_derived_cl549])).
% 22.06/3.76 thf(zip_derived_cl556, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl535, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550])).
% 22.06/3.76 thf(zip_derived_cl574, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 22.06/3.76 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl526, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556])).
% 22.06/3.76 thf(zip_derived_cl595, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 22.06/3.76 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl512, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574])).
% 22.06/3.76 thf(zip_derived_cl619, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 22.06/3.76 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl497, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.76 zip_derived_cl595])).
% 22.06/3.76 thf(zip_derived_cl646, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 22.06/3.76 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl480, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.76 zip_derived_cl595, zip_derived_cl619])).
% 22.06/3.76 thf(zip_derived_cl677, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 22.06/3.76 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl461, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.76 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646])).
% 22.06/3.76 thf(zip_derived_cl711, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.76 X7 : $i, X8 : $i]:
% 22.06/3.76 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.76 X7 @ X8)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl439, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.76 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.76 zip_derived_cl677])).
% 22.06/3.76 thf(zip_derived_cl763, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.76 X7 : $i, X8 : $i, X9 : $i]:
% 22.06/3.76 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.76 X7 @ X8 @ X9)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl413, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.76 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.76 zip_derived_cl677, zip_derived_cl711])).
% 22.06/3.76 thf(zip_derived_cl855, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.76 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 22.06/3.76 ( (ssPv18_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.76 X6 @ X7 @ X8 @ X9 @ X10)
% 22.06/3.76 | ~ (ssPv18_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.76 X6 @ X7 @ X8 @ X9))),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl384, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.76 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.76 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763])).
% 22.06/3.76 thf(clause20, conjecture,
% 22.06/3.76 (~( ( ssPv16_5r1r1r1r1r1 @ U @ V @ W @ X @ skc30 ) | ( ~( ssNder1_0 ) ) |
% 22.06/3.76 ( ~( ssNder1_1r1 @ U ) ) | ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 22.06/3.76 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) ))).
% 22.06/3.76 thf(zf_stmt_84, negated_conjecture,
% 22.06/3.76 (( ssPv16_5r1r1r1r1r1 @ U @ V @ W @ X @ skc30 ) | ( ~( ssNder1_0 ) ) |
% 22.06/3.76 ( ~( ssNder1_1r1 @ U ) ) | ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 22.06/3.76 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) )),
% 22.06/3.76 inference('cnf.neg', [status(esa)], [clause20])).
% 22.06/3.76 thf(zip_derived_cl524, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 22.06/3.76 ( (ssPv16_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ skc30)
% 22.06/3.76 | ~ (ssNder1_0)
% 22.06/3.76 | ~ (ssNder1_1r1 @ X0)
% 22.06/3.76 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 22.06/3.76 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2))),
% 22.06/3.76 inference('cnf', [status(esa)], [zf_stmt_84])).
% 22.06/3.76 thf(zip_derived_cl543, plain, ( (ssNder1_0)),
% 22.06/3.76 inference('cnf', [status(esa)], [zf_stmt_1])).
% 22.06/3.76 thf(zip_derived_cl549, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 22.06/3.76 inference('demod', [status(thm)], [zip_derived_cl542, zip_derived_cl543])).
% 22.06/3.76 thf(zip_derived_cl550, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl541, zip_derived_cl543, zip_derived_cl549])).
% 22.06/3.76 thf(zip_derived_cl556, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl535, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550])).
% 22.06/3.76 thf(zip_derived_cl584, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 22.06/3.76 (ssPv16_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ skc30)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl524, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556])).
% 22.06/3.76 thf(clause54, conjecture,
% 22.06/3.76 (~( ( ssPv16_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) |
% 22.06/3.76 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 22.06/3.76 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 22.06/3.76 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 22.06/3.76 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 22.06/3.76 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 22.06/3.76 ( ~( ssPv16_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) ))).
% 22.06/3.76 thf(zf_stmt_85, negated_conjecture,
% 22.06/3.76 (( ssPv16_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) | ( ~( ssNder1_0 ) ) |
% 22.06/3.76 ( ~( ssNder1_1r1 @ U ) ) | ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 22.06/3.76 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 22.06/3.76 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 22.06/3.76 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 22.06/3.76 ( ~( ssPv16_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) )),
% 22.06/3.76 inference('cnf.neg', [status(esa)], [clause54])).
% 22.06/3.76 thf(zip_derived_cl490, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 22.06/3.76 ( (ssPv16_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 22.06/3.76 | ~ (ssNder1_0)
% 22.06/3.76 | ~ (ssNder1_1r1 @ X0)
% 22.06/3.76 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 22.06/3.76 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 22.06/3.76 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 22.06/3.76 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 22.06/3.76 | ~ (ssPv16_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4))),
% 22.06/3.76 inference('cnf', [status(esa)], [zf_stmt_85])).
% 22.06/3.76 thf(zip_derived_cl543, plain, ( (ssNder1_0)),
% 22.06/3.76 inference('cnf', [status(esa)], [zf_stmt_1])).
% 22.06/3.76 thf(zip_derived_cl549, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 22.06/3.76 inference('demod', [status(thm)], [zip_derived_cl542, zip_derived_cl543])).
% 22.06/3.76 thf(zip_derived_cl550, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl541, zip_derived_cl543, zip_derived_cl549])).
% 22.06/3.76 thf(zip_derived_cl556, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl535, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550])).
% 22.06/3.76 thf(zip_derived_cl574, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 22.06/3.76 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl526, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556])).
% 22.06/3.76 thf(zip_derived_cl595, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 22.06/3.76 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl512, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574])).
% 22.06/3.76 thf(zip_derived_cl642, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 22.06/3.76 ( (ssPv16_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 22.06/3.76 | ~ (ssPv16_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4))),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl490, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.76 zip_derived_cl595])).
% 22.06/3.76 thf(clause74, conjecture,
% 22.06/3.76 (~( ( ssPv16_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) |
% 22.06/3.76 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 22.06/3.76 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 22.06/3.76 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 22.06/3.76 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 22.06/3.76 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 22.06/3.76 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 22.06/3.76 ( ~( ssPv16_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) ))).
% 22.06/3.76 thf(zf_stmt_86, negated_conjecture,
% 22.06/3.76 (( ssPv16_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) |
% 22.06/3.76 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 22.06/3.76 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 22.06/3.76 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 22.06/3.76 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 22.06/3.76 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 22.06/3.76 ( ~( ssPv16_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) )),
% 22.06/3.76 inference('cnf.neg', [status(esa)], [clause74])).
% 22.06/3.76 thf(zip_derived_cl470, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 22.06/3.76 ( (ssPv16_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 22.06/3.76 | ~ (ssNder1_0)
% 22.06/3.76 | ~ (ssNder1_1r1 @ X0)
% 22.06/3.76 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 22.06/3.76 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 22.06/3.76 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 22.06/3.76 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 22.06/3.76 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 22.06/3.76 | ~ (ssPv16_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5))),
% 22.06/3.76 inference('cnf', [status(esa)], [zf_stmt_86])).
% 22.06/3.76 thf(zip_derived_cl543, plain, ( (ssNder1_0)),
% 22.06/3.76 inference('cnf', [status(esa)], [zf_stmt_1])).
% 22.06/3.76 thf(zip_derived_cl549, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 22.06/3.76 inference('demod', [status(thm)], [zip_derived_cl542, zip_derived_cl543])).
% 22.06/3.76 thf(zip_derived_cl550, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl541, zip_derived_cl543, zip_derived_cl549])).
% 22.06/3.76 thf(zip_derived_cl556, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl535, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550])).
% 22.06/3.76 thf(zip_derived_cl574, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 22.06/3.76 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl526, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556])).
% 22.06/3.76 thf(zip_derived_cl595, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 22.06/3.76 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl512, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574])).
% 22.06/3.76 thf(zip_derived_cl619, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 22.06/3.76 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl497, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.76 zip_derived_cl595])).
% 22.06/3.76 thf(zip_derived_cl669, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 22.06/3.76 ( (ssPv16_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 22.06/3.76 | ~ (ssPv16_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5))),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl470, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.76 zip_derived_cl595, zip_derived_cl619])).
% 22.06/3.76 thf(clause95, conjecture,
% 22.06/3.76 (~( ( ssPv16_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) |
% 22.06/3.76 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 22.06/3.76 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 22.06/3.76 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 22.06/3.76 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 22.06/3.76 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 22.06/3.76 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 22.06/3.76 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 22.06/3.76 ( ~( ssPv16_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) ))).
% 22.06/3.76 thf(zf_stmt_87, negated_conjecture,
% 22.06/3.76 (( ssPv16_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) |
% 22.06/3.76 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 22.06/3.76 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 22.06/3.76 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 22.06/3.76 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 22.06/3.76 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 22.06/3.76 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 22.06/3.76 ( ~( ssPv16_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) )),
% 22.06/3.76 inference('cnf.neg', [status(esa)], [clause95])).
% 22.06/3.76 thf(zip_derived_cl449, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 22.06/3.76 ( (ssPv16_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)
% 22.06/3.76 | ~ (ssNder1_0)
% 22.06/3.76 | ~ (ssNder1_1r1 @ X0)
% 22.06/3.76 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 22.06/3.76 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 22.06/3.76 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 22.06/3.76 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 22.06/3.76 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 22.06/3.76 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 22.06/3.76 | ~ (ssPv16_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6))),
% 22.06/3.76 inference('cnf', [status(esa)], [zf_stmt_87])).
% 22.06/3.76 thf(zip_derived_cl543, plain, ( (ssNder1_0)),
% 22.06/3.76 inference('cnf', [status(esa)], [zf_stmt_1])).
% 22.06/3.76 thf(zip_derived_cl549, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 22.06/3.76 inference('demod', [status(thm)], [zip_derived_cl542, zip_derived_cl543])).
% 22.06/3.76 thf(zip_derived_cl550, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl541, zip_derived_cl543, zip_derived_cl549])).
% 22.06/3.76 thf(zip_derived_cl556, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl535, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550])).
% 22.06/3.76 thf(zip_derived_cl574, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 22.06/3.76 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl526, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556])).
% 22.06/3.76 thf(zip_derived_cl595, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 22.06/3.76 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl512, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574])).
% 22.06/3.76 thf(zip_derived_cl619, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 22.06/3.76 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl497, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.76 zip_derived_cl595])).
% 22.06/3.76 thf(zip_derived_cl646, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 22.06/3.76 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl480, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.76 zip_derived_cl595, zip_derived_cl619])).
% 22.06/3.76 thf(zip_derived_cl701, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 22.06/3.76 ( (ssPv16_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)
% 22.06/3.76 | ~ (ssPv16_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6))),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl449, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.76 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646])).
% 22.06/3.76 thf(clause120, conjecture,
% 22.06/3.76 (~( ( ssPv16_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) |
% 22.06/3.76 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 22.06/3.76 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 22.06/3.76 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 22.06/3.76 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 22.06/3.76 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 22.06/3.76 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 22.06/3.76 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 22.06/3.76 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 22.06/3.76 ( ~( ssPv16_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) ))).
% 22.06/3.76 thf(zf_stmt_88, negated_conjecture,
% 22.06/3.76 (( ssPv16_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) |
% 22.06/3.76 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 22.06/3.76 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 22.06/3.76 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 22.06/3.76 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 22.06/3.76 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 22.06/3.76 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 22.06/3.76 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 22.06/3.76 ( ~( ssPv16_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) )),
% 22.06/3.76 inference('cnf.neg', [status(esa)], [clause120])).
% 22.06/3.76 thf(zip_derived_cl424, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.76 X7 : $i, X8 : $i]:
% 22.06/3.76 ( (ssPv16_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.76 X7 @ X8)
% 22.06/3.76 | ~ (ssNder1_0)
% 22.06/3.76 | ~ (ssNder1_1r1 @ X0)
% 22.06/3.76 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 22.06/3.76 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 22.06/3.76 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 22.06/3.76 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 22.06/3.76 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 22.06/3.76 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 22.06/3.76 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.76 X7)
% 22.06/3.76 | ~ (ssPv16_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7))),
% 22.06/3.76 inference('cnf', [status(esa)], [zf_stmt_88])).
% 22.06/3.76 thf(zip_derived_cl543, plain, ( (ssNder1_0)),
% 22.06/3.76 inference('cnf', [status(esa)], [zf_stmt_1])).
% 22.06/3.76 thf(zip_derived_cl549, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 22.06/3.76 inference('demod', [status(thm)], [zip_derived_cl542, zip_derived_cl543])).
% 22.06/3.76 thf(zip_derived_cl550, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl541, zip_derived_cl543, zip_derived_cl549])).
% 22.06/3.76 thf(zip_derived_cl556, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl535, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550])).
% 22.06/3.76 thf(zip_derived_cl574, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 22.06/3.76 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl526, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556])).
% 22.06/3.76 thf(zip_derived_cl595, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 22.06/3.76 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl512, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574])).
% 22.06/3.76 thf(zip_derived_cl619, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 22.06/3.76 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl497, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.76 zip_derived_cl595])).
% 22.06/3.76 thf(zip_derived_cl646, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 22.06/3.76 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl480, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.76 zip_derived_cl595, zip_derived_cl619])).
% 22.06/3.76 thf(zip_derived_cl677, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 22.06/3.76 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl461, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.76 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646])).
% 22.06/3.76 thf(zip_derived_cl753, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.76 X7 : $i, X8 : $i]:
% 22.06/3.76 ( (ssPv16_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.76 X7 @ X8)
% 22.06/3.76 | ~ (ssPv16_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7))),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl424, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.76 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.76 zip_derived_cl677])).
% 22.06/3.76 thf(clause149, conjecture,
% 22.06/3.76 (~( ( ssPv16_10r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) |
% 22.06/3.76 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 22.06/3.76 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 22.06/3.76 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 22.06/3.76 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 22.06/3.76 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 22.06/3.76 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 22.06/3.76 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 22.06/3.76 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 22.06/3.76 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 22.06/3.76 ( ~( ssPv16_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) ))).
% 22.06/3.76 thf(zf_stmt_89, negated_conjecture,
% 22.06/3.76 (( ssPv16_10r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) |
% 22.06/3.76 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 22.06/3.76 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 22.06/3.76 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 22.06/3.76 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 22.06/3.76 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 22.06/3.76 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 22.06/3.76 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 22.06/3.76 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 22.06/3.76 ( ~( ssPv16_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) )),
% 22.06/3.76 inference('cnf.neg', [status(esa)], [clause149])).
% 22.06/3.76 thf(zip_derived_cl395, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.76 X7 : $i, X8 : $i, X9 : $i]:
% 22.06/3.76 ( (ssPv16_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.76 X7 @ X8 @ X9)
% 22.06/3.76 | ~ (ssNder1_0)
% 22.06/3.76 | ~ (ssNder1_1r1 @ X0)
% 22.06/3.76 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 22.06/3.76 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 22.06/3.76 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 22.06/3.76 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 22.06/3.76 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 22.06/3.76 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 22.06/3.76 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.76 X7)
% 22.06/3.76 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.76 X6 @ X7 @ X8)
% 22.06/3.76 | ~ (ssPv16_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.76 X7 @ X8))),
% 22.06/3.76 inference('cnf', [status(esa)], [zf_stmt_89])).
% 22.06/3.76 thf(zip_derived_cl543, plain, ( (ssNder1_0)),
% 22.06/3.76 inference('cnf', [status(esa)], [zf_stmt_1])).
% 22.06/3.76 thf(zip_derived_cl549, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 22.06/3.76 inference('demod', [status(thm)], [zip_derived_cl542, zip_derived_cl543])).
% 22.06/3.76 thf(zip_derived_cl550, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl541, zip_derived_cl543, zip_derived_cl549])).
% 22.06/3.76 thf(zip_derived_cl556, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl535, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550])).
% 22.06/3.76 thf(zip_derived_cl574, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 22.06/3.76 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl526, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556])).
% 22.06/3.76 thf(zip_derived_cl595, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 22.06/3.76 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl512, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574])).
% 22.06/3.76 thf(zip_derived_cl619, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 22.06/3.76 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl497, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.76 zip_derived_cl595])).
% 22.06/3.76 thf(zip_derived_cl646, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 22.06/3.76 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl480, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.76 zip_derived_cl595, zip_derived_cl619])).
% 22.06/3.76 thf(zip_derived_cl677, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 22.06/3.76 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl461, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.76 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646])).
% 22.06/3.76 thf(zip_derived_cl711, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.76 X7 : $i, X8 : $i]:
% 22.06/3.76 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.76 X7 @ X8)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl439, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.76 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.76 zip_derived_cl677])).
% 22.06/3.76 thf(zip_derived_cl796, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.76 X7 : $i, X8 : $i, X9 : $i]:
% 22.06/3.76 ( (ssPv16_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.76 X7 @ X8 @ X9)
% 22.06/3.76 | ~ (ssPv16_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.76 X7 @ X8))),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl395, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.76 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.76 zip_derived_cl677, zip_derived_cl711])).
% 22.06/3.76 thf(clause162, conjecture,
% 22.06/3.76 (~( ( ssPv16_11r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) |
% 22.06/3.76 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 22.06/3.76 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 22.06/3.76 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 22.06/3.76 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 22.06/3.76 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 22.06/3.76 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 22.06/3.76 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 22.06/3.76 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 22.06/3.76 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 22.06/3.76 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 22.06/3.76 ( ~( ssPv16_10r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) ))).
% 22.06/3.76 thf(zf_stmt_90, negated_conjecture,
% 22.06/3.76 (( ssPv16_11r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) |
% 22.06/3.76 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 22.06/3.76 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 22.06/3.76 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 22.06/3.76 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 22.06/3.76 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 22.06/3.76 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 22.06/3.76 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 22.06/3.76 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 22.06/3.76 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 22.06/3.76 ( ~( ssPv16_10r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) )),
% 22.06/3.76 inference('cnf.neg', [status(esa)], [clause162])).
% 22.06/3.76 thf(zip_derived_cl382, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.76 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 22.06/3.76 ( (ssPv16_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.76 X6 @ X7 @ X8 @ X9 @ X10)
% 22.06/3.76 | ~ (ssNder1_0)
% 22.06/3.76 | ~ (ssNder1_1r1 @ X0)
% 22.06/3.76 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 22.06/3.76 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 22.06/3.76 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 22.06/3.76 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 22.06/3.76 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 22.06/3.76 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 22.06/3.76 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.76 X7)
% 22.06/3.76 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.76 X6 @ X7 @ X8)
% 22.06/3.76 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.76 X6 @ X7 @ X8 @ X9)
% 22.06/3.76 | ~ (ssPv16_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.76 X6 @ X7 @ X8 @ X9))),
% 22.06/3.76 inference('cnf', [status(esa)], [zf_stmt_90])).
% 22.06/3.76 thf(zip_derived_cl543, plain, ( (ssNder1_0)),
% 22.06/3.76 inference('cnf', [status(esa)], [zf_stmt_1])).
% 22.06/3.76 thf(zip_derived_cl549, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 22.06/3.76 inference('demod', [status(thm)], [zip_derived_cl542, zip_derived_cl543])).
% 22.06/3.76 thf(zip_derived_cl550, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl541, zip_derived_cl543, zip_derived_cl549])).
% 22.06/3.76 thf(zip_derived_cl556, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl535, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550])).
% 22.06/3.76 thf(zip_derived_cl574, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 22.06/3.76 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl526, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556])).
% 22.06/3.76 thf(zip_derived_cl595, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 22.06/3.76 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl512, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574])).
% 22.06/3.76 thf(zip_derived_cl619, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 22.06/3.76 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl497, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.76 zip_derived_cl595])).
% 22.06/3.76 thf(zip_derived_cl646, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 22.06/3.76 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl480, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.76 zip_derived_cl595, zip_derived_cl619])).
% 22.06/3.76 thf(zip_derived_cl677, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 22.06/3.76 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl461, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.76 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646])).
% 22.06/3.76 thf(zip_derived_cl711, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.76 X7 : $i, X8 : $i]:
% 22.06/3.76 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.76 X7 @ X8)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl439, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.76 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.76 zip_derived_cl677])).
% 22.06/3.76 thf(zip_derived_cl763, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.76 X7 : $i, X8 : $i, X9 : $i]:
% 22.06/3.76 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.76 X7 @ X8 @ X9)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl413, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.76 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.76 zip_derived_cl677, zip_derived_cl711])).
% 22.06/3.76 thf(zip_derived_cl851, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.76 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 22.06/3.76 ( (ssPv16_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.76 X6 @ X7 @ X8 @ X9 @ X10)
% 22.06/3.76 | ~ (ssPv16_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.76 X6 @ X7 @ X8 @ X9))),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl382, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.76 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.76 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763])).
% 22.06/3.76 thf(zip_derived_cl869, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.76 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 22.06/3.76 (ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.76 X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ skc22)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl362, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.76 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.76 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763,
% 22.06/3.76 zip_derived_cl807])).
% 22.06/3.76 thf(zip_derived_cl1013, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.76 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 22.06/3.76 ( (ssPv8_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.76 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 22.06/3.76 | ~ (ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.76 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12))),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl274, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.76 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.76 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763,
% 22.06/3.76 zip_derived_cl807, zip_derived_cl857, zip_derived_cl911])).
% 22.06/3.76 thf(zip_derived_cl1125, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.76 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 22.06/3.76 X14 : $i]:
% 22.06/3.76 ( (ssPv8_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.76 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 22.06/3.76 | ~ (ssPv8_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.76 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13))),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl226, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.76 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.76 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763,
% 22.06/3.76 zip_derived_cl807, zip_derived_cl857, zip_derived_cl911,
% 22.06/3.76 zip_derived_cl969])).
% 22.06/3.76 thf(clause367, conjecture,
% 22.06/3.76 (~( ( ssPv10_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) |
% 22.06/3.76 ( ssPv9_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) |
% 22.06/3.76 ( ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) |
% 22.06/3.76 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 22.06/3.76 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 22.06/3.76 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 22.06/3.76 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 22.06/3.76 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 22.06/3.76 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 22.06/3.76 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 22.06/3.76 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 22.06/3.76 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 22.06/3.76 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 22.06/3.76 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 22.06/3.76 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 22.06/3.76 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 22.06/3.76 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 22.06/3.76 ( ~( ssPv8_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) ))).
% 22.06/3.76 thf(zf_stmt_91, negated_conjecture,
% 22.06/3.76 (( ssPv10_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) |
% 22.06/3.76 ( ssPv9_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) |
% 22.06/3.76 ( ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) |
% 22.06/3.76 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 22.06/3.76 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 22.06/3.76 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 22.06/3.76 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 22.06/3.76 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 22.06/3.76 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 22.06/3.76 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 22.06/3.76 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 22.06/3.76 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 22.06/3.76 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 22.06/3.76 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 22.06/3.76 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 22.06/3.76 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 22.06/3.76 ( ~( ssPv8_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) )),
% 22.06/3.76 inference('cnf.neg', [status(esa)], [clause367])).
% 22.06/3.76 thf(zip_derived_cl177, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.76 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 22.06/3.76 X14 : $i]:
% 22.06/3.76 ( (ssPv10_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.76 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 22.06/3.76 | (ssPv9_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 22.06/3.76 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 22.06/3.76 | (ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 22.06/3.76 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 22.06/3.76 | ~ (ssNder1_0)
% 22.06/3.76 | ~ (ssNder1_1r1 @ X0)
% 22.06/3.76 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 22.06/3.76 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 22.06/3.76 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 22.06/3.76 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 22.06/3.76 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 22.06/3.76 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 22.06/3.76 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.76 X7)
% 22.06/3.76 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.76 X6 @ X7 @ X8)
% 22.06/3.76 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.76 X6 @ X7 @ X8 @ X9)
% 22.06/3.76 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.76 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 22.06/3.76 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.76 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 22.06/3.76 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.76 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 22.06/3.76 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 22.06/3.76 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 22.06/3.76 | ~ (ssPv8_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 22.06/3.76 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14))),
% 22.06/3.76 inference('cnf', [status(esa)], [zf_stmt_91])).
% 22.06/3.76 thf(zip_derived_cl543, plain, ( (ssNder1_0)),
% 22.06/3.76 inference('cnf', [status(esa)], [zf_stmt_1])).
% 22.06/3.76 thf(zip_derived_cl549, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 22.06/3.76 inference('demod', [status(thm)], [zip_derived_cl542, zip_derived_cl543])).
% 22.06/3.76 thf(zip_derived_cl550, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl541, zip_derived_cl543, zip_derived_cl549])).
% 22.06/3.76 thf(zip_derived_cl556, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl535, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550])).
% 22.06/3.76 thf(zip_derived_cl574, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 22.06/3.76 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl526, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556])).
% 22.06/3.76 thf(zip_derived_cl595, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 22.06/3.76 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl512, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574])).
% 22.06/3.76 thf(zip_derived_cl619, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 22.06/3.76 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl497, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.76 zip_derived_cl595])).
% 22.06/3.76 thf(zip_derived_cl646, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 22.06/3.76 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl480, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.76 zip_derived_cl595, zip_derived_cl619])).
% 22.06/3.76 thf(zip_derived_cl677, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 22.06/3.76 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl461, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.76 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646])).
% 22.06/3.76 thf(zip_derived_cl711, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.76 X7 : $i, X8 : $i]:
% 22.06/3.76 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.76 X7 @ X8)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl439, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.76 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.76 zip_derived_cl677])).
% 22.06/3.76 thf(zip_derived_cl763, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.76 X7 : $i, X8 : $i, X9 : $i]:
% 22.06/3.76 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.76 X7 @ X8 @ X9)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl413, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.76 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.76 zip_derived_cl677, zip_derived_cl711])).
% 22.06/3.76 thf(zip_derived_cl807, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.76 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 22.06/3.76 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.76 X6 @ X7 @ X8 @ X9 @ X10)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl390, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.76 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.76 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763])).
% 22.06/3.76 thf(zip_derived_cl857, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.76 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 22.06/3.76 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.76 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl363, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.76 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.76 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763,
% 22.06/3.76 zip_derived_cl807])).
% 22.06/3.76 thf(zip_derived_cl911, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.76 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 22.06/3.76 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.76 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl334, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.76 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.76 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763,
% 22.06/3.76 zip_derived_cl807, zip_derived_cl857])).
% 22.06/3.76 thf(zip_derived_cl969, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.76 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 22.06/3.76 (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.76 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl300, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.76 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.76 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763,
% 22.06/3.76 zip_derived_cl807, zip_derived_cl857, zip_derived_cl911])).
% 22.06/3.76 thf(zip_derived_cl2217, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.76 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 22.06/3.76 X14 : $i]:
% 22.06/3.76 ( (ssPv10_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.76 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 22.06/3.76 | (ssPv9_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 22.06/3.76 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 22.06/3.76 | (ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 22.06/3.76 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 22.06/3.76 | ~ (ssPv8_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 22.06/3.76 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14))),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl177, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.76 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.76 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763,
% 22.06/3.76 zip_derived_cl807, zip_derived_cl857, zip_derived_cl911,
% 22.06/3.76 zip_derived_cl969])).
% 22.06/3.76 thf(zip_derived_cl2218, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.76 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 22.06/3.76 X14 : $i]:
% 22.06/3.76 (~ (ssPv8_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X14 @ X13 @ X12 @ X11 @
% 22.06/3.76 X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1)
% 22.06/3.76 | (ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X14 @ X13 @ X12 @ X11 @
% 22.06/3.76 X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 22.06/3.76 | (ssPv9_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X14 @ X13 @ X12 @ X11 @
% 22.06/3.76 X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 22.06/3.76 | (ssPv10_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X14 @ X13 @ X12 @
% 22.06/3.76 X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0))),
% 22.06/3.76 inference('sup-', [status(thm)], [zip_derived_cl1125, zip_derived_cl2217])).
% 22.06/3.76 thf(zip_derived_cl1112, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.76 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 22.06/3.76 X14 : $i]:
% 22.06/3.76 ( (ssPv9_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.76 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 22.06/3.76 | ~ (ssPv9_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 22.06/3.76 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14))),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl241, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.76 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.76 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763,
% 22.06/3.76 zip_derived_cl807, zip_derived_cl857, zip_derived_cl911,
% 22.06/3.76 zip_derived_cl969])).
% 22.06/3.76 thf(zip_derived_cl2219, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.76 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 22.06/3.76 X14 : $i]:
% 22.06/3.76 ( (ssPv10_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X14 @ X13 @ X12 @ X11 @
% 22.06/3.76 X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 22.06/3.76 | (ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X14 @ X13 @ X12 @ X11 @
% 22.06/3.76 X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 22.06/3.76 | ~ (ssPv8_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X14 @ X13 @ X12 @ X11 @
% 22.06/3.76 X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1)
% 22.06/3.76 | (ssPv9_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X14 @ X13 @ X12 @ X11 @
% 22.06/3.76 X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1))),
% 22.06/3.76 inference('sup-', [status(thm)], [zip_derived_cl2218, zip_derived_cl1112])).
% 22.06/3.76 thf(clause302, conjecture,
% 22.06/3.76 (~( ( ssPv10_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) |
% 22.06/3.76 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 22.06/3.76 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 22.06/3.76 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 22.06/3.76 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 22.06/3.76 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 22.06/3.76 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 22.06/3.76 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 22.06/3.76 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 22.06/3.76 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 22.06/3.76 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 22.06/3.76 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 22.06/3.76 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 22.06/3.76 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 22.06/3.76 ( ~( ssPv10_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 22.06/3.76 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) ))).
% 22.06/3.76 thf(zf_stmt_92, negated_conjecture,
% 22.06/3.76 (( ssPv10_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) |
% 22.06/3.76 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 22.06/3.76 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 22.06/3.76 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 22.06/3.76 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 22.06/3.76 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 22.06/3.76 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 22.06/3.76 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 22.06/3.76 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 22.06/3.76 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 22.06/3.76 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 22.06/3.76 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 22.06/3.76 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 22.06/3.76 ( ~( ssPv10_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 22.06/3.76 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) )),
% 22.06/3.76 inference('cnf.neg', [status(esa)], [clause302])).
% 22.06/3.76 thf(zip_derived_cl242, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.76 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 22.06/3.76 X14 : $i]:
% 22.06/3.76 ( (ssPv10_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.76 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 22.06/3.76 | ~ (ssNder1_0)
% 22.06/3.76 | ~ (ssNder1_1r1 @ X0)
% 22.06/3.76 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 22.06/3.76 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 22.06/3.76 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 22.06/3.76 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 22.06/3.76 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 22.06/3.76 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 22.06/3.76 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.76 X7)
% 22.06/3.76 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.76 X6 @ X7 @ X8)
% 22.06/3.76 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.76 X6 @ X7 @ X8 @ X9)
% 22.06/3.76 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.76 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 22.06/3.76 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.76 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 22.06/3.76 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.76 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 22.06/3.76 | ~ (ssPv10_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 22.06/3.76 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 22.06/3.76 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 22.06/3.76 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13))),
% 22.06/3.76 inference('cnf', [status(esa)], [zf_stmt_92])).
% 22.06/3.76 thf(zip_derived_cl543, plain, ( (ssNder1_0)),
% 22.06/3.76 inference('cnf', [status(esa)], [zf_stmt_1])).
% 22.06/3.76 thf(zip_derived_cl549, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 22.06/3.76 inference('demod', [status(thm)], [zip_derived_cl542, zip_derived_cl543])).
% 22.06/3.76 thf(zip_derived_cl550, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl541, zip_derived_cl543, zip_derived_cl549])).
% 22.06/3.76 thf(zip_derived_cl556, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl535, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550])).
% 22.06/3.76 thf(zip_derived_cl574, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 22.06/3.76 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl526, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556])).
% 22.06/3.76 thf(zip_derived_cl595, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 22.06/3.76 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl512, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574])).
% 22.06/3.76 thf(zip_derived_cl619, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 22.06/3.76 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl497, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.76 zip_derived_cl595])).
% 22.06/3.76 thf(zip_derived_cl646, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 22.06/3.76 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl480, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.76 zip_derived_cl595, zip_derived_cl619])).
% 22.06/3.76 thf(zip_derived_cl677, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 22.06/3.76 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl461, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.76 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646])).
% 22.06/3.76 thf(zip_derived_cl711, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.76 X7 : $i, X8 : $i]:
% 22.06/3.76 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.76 X7 @ X8)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl439, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.76 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.76 zip_derived_cl677])).
% 22.06/3.76 thf(zip_derived_cl763, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.76 X7 : $i, X8 : $i, X9 : $i]:
% 22.06/3.76 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.76 X7 @ X8 @ X9)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl413, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.76 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.76 zip_derived_cl677, zip_derived_cl711])).
% 22.06/3.76 thf(zip_derived_cl807, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.76 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 22.06/3.76 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.76 X6 @ X7 @ X8 @ X9 @ X10)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl390, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.76 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.76 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763])).
% 22.06/3.76 thf(zip_derived_cl857, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.76 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 22.06/3.76 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.76 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl363, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.76 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.76 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763,
% 22.06/3.76 zip_derived_cl807])).
% 22.06/3.76 thf(zip_derived_cl911, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.76 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 22.06/3.76 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.76 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl334, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.76 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.76 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763,
% 22.06/3.76 zip_derived_cl807, zip_derived_cl857])).
% 22.06/3.76 thf(zip_derived_cl969, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.76 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 22.06/3.76 (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.76 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl300, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.76 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.76 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763,
% 22.06/3.76 zip_derived_cl807, zip_derived_cl857, zip_derived_cl911])).
% 22.06/3.76 thf(zip_derived_cl1113, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.76 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 22.06/3.76 X14 : $i]:
% 22.06/3.76 ( (ssPv10_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.76 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 22.06/3.76 | ~ (ssPv10_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 22.06/3.76 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14))),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl242, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.76 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.76 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763,
% 22.06/3.76 zip_derived_cl807, zip_derived_cl857, zip_derived_cl911,
% 22.06/3.76 zip_derived_cl969])).
% 22.06/3.76 thf(zip_derived_cl2222, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.76 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 22.06/3.76 X14 : $i]:
% 22.06/3.76 ( (ssPv9_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X14 @ X13 @ X12 @ X11 @
% 22.06/3.76 X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1)
% 22.06/3.76 | ~ (ssPv8_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X14 @ X13 @ X12 @ X11 @
% 22.06/3.76 X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1)
% 22.06/3.76 | (ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X14 @ X13 @ X12 @ X11 @
% 22.06/3.76 X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 22.06/3.76 | (ssPv10_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X14 @ X13 @ X12 @ X11 @
% 22.06/3.76 X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1))),
% 22.06/3.76 inference('sup-', [status(thm)], [zip_derived_cl2219, zip_derived_cl1113])).
% 22.06/3.76 thf(zip_derived_cl2223, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.76 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 22.06/3.76 X14 : $i]:
% 22.06/3.76 (~ (ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X13 @ X12 @ X11 @ X10 @ X9 @
% 22.06/3.76 X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1)
% 22.06/3.76 | (ssPv10_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X13 @ X12 @ X11 @ X10 @
% 22.06/3.76 X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 22.06/3.76 | (ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X13 @ X12 @ X11 @ X10 @
% 22.06/3.76 X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X14)
% 22.06/3.76 | (ssPv9_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X13 @ X12 @ X11 @ X10 @
% 22.06/3.76 X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0))),
% 22.06/3.76 inference('sup-', [status(thm)], [zip_derived_cl1013, zip_derived_cl2222])).
% 22.06/3.76 thf(zip_derived_cl2224, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.76 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 22.06/3.76 ( (ssPv9_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X11 @ X10 @ X9 @ X8 @ X7 @
% 22.06/3.76 X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ skc22 @ X12)
% 22.06/3.76 | (ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X11 @ X10 @ X9 @ X8 @
% 22.06/3.76 X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ skc22 @ X12 @ X13)
% 22.06/3.76 | (ssPv10_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X11 @ X10 @ X9 @ X8 @
% 22.06/3.76 X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ skc22 @ X12))),
% 22.06/3.76 inference('sup-', [status(thm)], [zip_derived_cl869, zip_derived_cl2223])).
% 22.06/3.76 thf(zip_derived_cl983, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.76 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 22.06/3.76 ( (ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.76 X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 22.06/3.76 | ~ (ssPv9_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.76 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13))),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl262, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.76 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.76 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763,
% 22.06/3.76 zip_derived_cl807, zip_derived_cl857, zip_derived_cl911])).
% 22.06/3.76 thf(zip_derived_cl2225, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.76 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 22.06/3.76 ( (ssPv10_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X12 @ X11 @ X10 @ X9 @
% 22.06/3.76 X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ skc22 @ X0)
% 22.06/3.76 | (ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X12 @ X11 @ X10 @ X9 @
% 22.06/3.76 X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ skc22 @ X0 @ X13)
% 22.06/3.76 | (ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X12 @ X11 @ X10 @ X9 @ X8 @
% 22.06/3.76 X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ skc22))),
% 22.06/3.76 inference('sup-', [status(thm)], [zip_derived_cl2224, zip_derived_cl983])).
% 22.06/3.76 thf(clause281, conjecture,
% 22.06/3.76 (~( ( ssPv10_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) |
% 22.06/3.76 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 22.06/3.76 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 22.06/3.76 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 22.06/3.76 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 22.06/3.76 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 22.06/3.76 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 22.06/3.76 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 22.06/3.76 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 22.06/3.76 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 22.06/3.76 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 22.06/3.76 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 22.06/3.76 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 22.06/3.76 ( ~( ssPv10_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 22.06/3.76 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) ))).
% 22.06/3.76 thf(zf_stmt_93, negated_conjecture,
% 22.06/3.76 (( ssPv10_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) |
% 22.06/3.76 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 22.06/3.76 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 22.06/3.76 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 22.06/3.76 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 22.06/3.76 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 22.06/3.76 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 22.06/3.76 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 22.06/3.76 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 22.06/3.76 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 22.06/3.76 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 22.06/3.76 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 22.06/3.76 ( ~( ssPv10_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 22.06/3.76 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) )),
% 22.06/3.76 inference('cnf.neg', [status(esa)], [clause281])).
% 22.06/3.76 thf(zip_derived_cl263, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.76 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 22.06/3.76 ( (ssPv10_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.76 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 22.06/3.76 | ~ (ssNder1_0)
% 22.06/3.76 | ~ (ssNder1_1r1 @ X0)
% 22.06/3.76 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 22.06/3.76 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 22.06/3.76 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 22.06/3.76 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 22.06/3.76 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 22.06/3.76 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 22.06/3.76 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.76 X7)
% 22.06/3.76 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.76 X6 @ X7 @ X8)
% 22.06/3.76 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.76 X6 @ X7 @ X8 @ X9)
% 22.06/3.76 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.76 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 22.06/3.76 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.76 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 22.06/3.76 | ~ (ssPv10_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 22.06/3.76 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 22.06/3.76 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.76 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12))),
% 22.06/3.76 inference('cnf', [status(esa)], [zf_stmt_93])).
% 22.06/3.76 thf(zip_derived_cl543, plain, ( (ssNder1_0)),
% 22.06/3.76 inference('cnf', [status(esa)], [zf_stmt_1])).
% 22.06/3.76 thf(zip_derived_cl549, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 22.06/3.76 inference('demod', [status(thm)], [zip_derived_cl542, zip_derived_cl543])).
% 22.06/3.76 thf(zip_derived_cl550, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl541, zip_derived_cl543, zip_derived_cl549])).
% 22.06/3.76 thf(zip_derived_cl556, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl535, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550])).
% 22.06/3.76 thf(zip_derived_cl574, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 22.06/3.76 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl526, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556])).
% 22.06/3.76 thf(zip_derived_cl595, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 22.06/3.76 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl512, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574])).
% 22.06/3.76 thf(zip_derived_cl619, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 22.06/3.76 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl497, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.76 zip_derived_cl595])).
% 22.06/3.76 thf(zip_derived_cl646, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 22.06/3.76 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl480, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.76 zip_derived_cl595, zip_derived_cl619])).
% 22.06/3.76 thf(zip_derived_cl677, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 22.06/3.76 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl461, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.76 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646])).
% 22.06/3.76 thf(zip_derived_cl711, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.76 X7 : $i, X8 : $i]:
% 22.06/3.76 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.76 X7 @ X8)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl439, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.76 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.76 zip_derived_cl677])).
% 22.06/3.76 thf(zip_derived_cl763, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.76 X7 : $i, X8 : $i, X9 : $i]:
% 22.06/3.76 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.76 X7 @ X8 @ X9)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl413, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.76 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.76 zip_derived_cl677, zip_derived_cl711])).
% 22.06/3.76 thf(zip_derived_cl807, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.76 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 22.06/3.76 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.76 X6 @ X7 @ X8 @ X9 @ X10)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl390, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.76 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.76 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763])).
% 22.06/3.76 thf(zip_derived_cl857, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.76 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 22.06/3.76 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.76 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl363, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.76 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.76 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763,
% 22.06/3.76 zip_derived_cl807])).
% 22.06/3.76 thf(zip_derived_cl911, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.76 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 22.06/3.76 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.76 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl334, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.76 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.76 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763,
% 22.06/3.76 zip_derived_cl807, zip_derived_cl857])).
% 22.06/3.76 thf(zip_derived_cl984, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.76 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 22.06/3.76 ( (ssPv10_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.76 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 22.06/3.76 | ~ (ssPv10_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 22.06/3.76 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13))),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl263, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.76 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.76 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763,
% 22.06/3.76 zip_derived_cl807, zip_derived_cl857, zip_derived_cl911])).
% 22.06/3.76 thf(zip_derived_cl2228, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.76 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 22.06/3.76 ( (ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X12 @ X11 @ X10 @ X9 @ X8 @
% 22.06/3.76 X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ skc22)
% 22.06/3.76 | (ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X12 @ X11 @ X10 @ X9 @
% 22.06/3.76 X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ skc22 @ X0 @ X13)
% 22.06/3.76 | (ssPv10_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X12 @ X11 @ X10 @ X9 @
% 22.06/3.76 X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ skc22))),
% 22.06/3.76 inference('sup-', [status(thm)], [zip_derived_cl2225, zip_derived_cl984])).
% 22.06/3.76 thf(clause246, conjecture,
% 22.06/3.76 (~( ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 22.06/3.76 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 22.06/3.76 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 22.06/3.76 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 22.06/3.76 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 22.06/3.76 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 22.06/3.76 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 22.06/3.76 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 22.06/3.76 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 22.06/3.76 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 22.06/3.76 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 22.06/3.76 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 22.06/3.76 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 22.06/3.76 ( ~( ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 22.06/3.76 skc19 ) ) ))).
% 22.06/3.76 thf(zf_stmt_94, negated_conjecture,
% 22.06/3.76 (( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 22.06/3.76 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 22.06/3.76 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 22.06/3.76 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 22.06/3.76 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 22.06/3.76 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 22.06/3.76 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 22.06/3.76 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 22.06/3.76 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 22.06/3.76 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 22.06/3.76 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 22.06/3.76 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 22.06/3.76 ( ~( ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ skc19 ) )),
% 22.06/3.76 inference('cnf.neg', [status(esa)], [clause246])).
% 22.06/3.76 thf(zip_derived_cl298, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.76 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 22.06/3.76 (~ (ssNder1_0)
% 22.06/3.76 | ~ (ssNder1_1r1 @ X0)
% 22.06/3.76 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 22.06/3.76 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 22.06/3.76 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 22.06/3.76 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 22.06/3.76 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 22.06/3.76 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 22.06/3.76 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.76 X7)
% 22.06/3.76 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.76 X6 @ X7 @ X8)
% 22.06/3.76 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.76 X6 @ X7 @ X8 @ X9)
% 22.06/3.76 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.76 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 22.06/3.76 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.76 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 22.06/3.76 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.76 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 22.06/3.76 | ~ (ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 22.06/3.76 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ skc19))),
% 22.06/3.76 inference('cnf', [status(esa)], [zf_stmt_94])).
% 22.06/3.76 thf(zip_derived_cl543, plain, ( (ssNder1_0)),
% 22.06/3.76 inference('cnf', [status(esa)], [zf_stmt_1])).
% 22.06/3.76 thf(zip_derived_cl549, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 22.06/3.76 inference('demod', [status(thm)], [zip_derived_cl542, zip_derived_cl543])).
% 22.06/3.76 thf(zip_derived_cl550, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl541, zip_derived_cl543, zip_derived_cl549])).
% 22.06/3.76 thf(zip_derived_cl556, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl535, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550])).
% 22.06/3.76 thf(zip_derived_cl574, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 22.06/3.76 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl526, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556])).
% 22.06/3.76 thf(zip_derived_cl595, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 22.06/3.76 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl512, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574])).
% 22.06/3.76 thf(zip_derived_cl600, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.76 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 22.06/3.76 (~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 22.06/3.76 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 22.06/3.76 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.76 X7)
% 22.06/3.76 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.76 X6 @ X7 @ X8)
% 22.06/3.76 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.76 X6 @ X7 @ X8 @ X9)
% 22.06/3.76 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.76 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 22.06/3.76 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.76 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 22.06/3.76 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.76 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 22.06/3.76 | ~ (ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 22.06/3.76 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ skc19))),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl298, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.76 zip_derived_cl595])).
% 22.06/3.76 thf(zip_derived_cl619, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 22.06/3.76 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl497, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.76 zip_derived_cl595])).
% 22.06/3.76 thf(zip_derived_cl623, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.76 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 22.06/3.76 (~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 22.06/3.76 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.76 X7)
% 22.06/3.76 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.76 X6 @ X7 @ X8)
% 22.06/3.76 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.76 X6 @ X7 @ X8 @ X9)
% 22.06/3.76 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.76 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 22.06/3.76 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.76 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 22.06/3.76 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.76 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 22.06/3.76 | ~ (ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 22.06/3.76 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ skc19))),
% 22.06/3.76 inference('demod', [status(thm)], [zip_derived_cl600, zip_derived_cl619])).
% 22.06/3.76 thf(zip_derived_cl646, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 22.06/3.76 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl480, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.76 zip_derived_cl595, zip_derived_cl619])).
% 22.06/3.76 thf(zip_derived_cl649, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.76 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 22.06/3.76 (~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)
% 22.06/3.76 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.76 X6 @ X7 @ X8)
% 22.06/3.76 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.76 X6 @ X7 @ X8 @ X9)
% 22.06/3.76 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.76 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 22.06/3.76 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.76 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 22.06/3.76 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.76 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 22.06/3.76 | ~ (ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 22.06/3.76 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ skc19))),
% 22.06/3.76 inference('demod', [status(thm)], [zip_derived_cl623, zip_derived_cl646])).
% 22.06/3.76 thf(zip_derived_cl677, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 22.06/3.76 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl461, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.76 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646])).
% 22.06/3.76 thf(zip_derived_cl680, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.76 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 22.06/3.76 (~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.76 X7 @ X8)
% 22.06/3.76 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.76 X6 @ X7 @ X8 @ X9)
% 22.06/3.76 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.76 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 22.06/3.76 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.76 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 22.06/3.76 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.76 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 22.06/3.76 | ~ (ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 22.06/3.76 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ skc19))),
% 22.06/3.76 inference('demod', [status(thm)], [zip_derived_cl649, zip_derived_cl677])).
% 22.06/3.76 thf(zip_derived_cl711, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.76 X7 : $i, X8 : $i]:
% 22.06/3.76 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.76 X7 @ X8)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl439, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.76 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.76 zip_derived_cl677])).
% 22.06/3.76 thf(zip_derived_cl714, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.76 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 22.06/3.76 (~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.76 X6 @ X7 @ X8 @ X9)
% 22.06/3.76 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.76 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 22.06/3.76 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.76 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 22.06/3.76 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.76 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 22.06/3.76 | ~ (ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 22.06/3.76 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ skc19))),
% 22.06/3.76 inference('demod', [status(thm)], [zip_derived_cl680, zip_derived_cl711])).
% 22.06/3.76 thf(zip_derived_cl763, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.76 X7 : $i, X8 : $i, X9 : $i]:
% 22.06/3.76 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.76 X7 @ X8 @ X9)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl413, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.76 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.76 zip_derived_cl677, zip_derived_cl711])).
% 22.06/3.76 thf(zip_derived_cl766, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.76 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 22.06/3.76 (~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.76 X6 @ X7 @ X8 @ X9 @ X10)
% 22.06/3.76 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.76 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 22.06/3.76 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.76 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 22.06/3.76 | ~ (ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 22.06/3.76 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ skc19))),
% 22.06/3.76 inference('demod', [status(thm)], [zip_derived_cl714, zip_derived_cl763])).
% 22.06/3.76 thf(zip_derived_cl807, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.76 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 22.06/3.76 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.76 X6 @ X7 @ X8 @ X9 @ X10)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl390, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.76 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.76 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763])).
% 22.06/3.76 thf(zip_derived_cl810, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.76 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 22.06/3.76 (~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.76 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 22.06/3.76 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.76 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 22.06/3.76 | ~ (ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 22.06/3.76 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ skc19))),
% 22.06/3.76 inference('demod', [status(thm)], [zip_derived_cl766, zip_derived_cl807])).
% 22.06/3.76 thf(zip_derived_cl857, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.76 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 22.06/3.76 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.76 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl363, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.76 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.76 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763,
% 22.06/3.76 zip_derived_cl807])).
% 22.06/3.76 thf(zip_derived_cl859, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.76 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 22.06/3.76 (~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.76 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 22.06/3.76 | ~ (ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 22.06/3.76 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ skc19))),
% 22.06/3.76 inference('demod', [status(thm)], [zip_derived_cl810, zip_derived_cl857])).
% 22.06/3.76 thf(zip_derived_cl911, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.76 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 22.06/3.76 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.76 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl334, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.76 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.76 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763,
% 22.06/3.76 zip_derived_cl807, zip_derived_cl857])).
% 22.06/3.76 thf(zip_derived_cl912, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.76 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 22.06/3.76 ~ (ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.76 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ skc19)),
% 22.06/3.76 inference('demod', [status(thm)], [zip_derived_cl859, zip_derived_cl911])).
% 22.06/3.76 thf(zip_derived_cl2234, plain,
% 22.06/3.76 (![X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i,
% 22.06/3.76 X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 22.06/3.76 ( (ssPv10_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X12 @ X11 @ X10 @ X9 @ X8 @
% 22.06/3.76 X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ skc22)
% 22.06/3.76 | (ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X12 @ X11 @ X10 @ X9 @ X8 @
% 22.06/3.76 X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ skc22))),
% 22.06/3.76 inference('sup-', [status(thm)], [zip_derived_cl2228, zip_derived_cl912])).
% 22.06/3.76 thf(zip_derived_cl925, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.76 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 22.06/3.76 ( (ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.76 X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 22.06/3.76 | ~ (ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.76 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12))),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl307, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.76 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.76 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763,
% 22.06/3.76 zip_derived_cl807, zip_derived_cl857])).
% 22.06/3.76 thf(zip_derived_cl2236, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.76 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 22.06/3.76 ( (ssPv10_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X11 @ X10 @ X9 @ X8 @ X7 @
% 22.06/3.76 X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ skc22)
% 22.06/3.76 | (ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X11 @ X10 @ X9 @ X8 @ X7 @
% 22.06/3.76 X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0))),
% 22.06/3.76 inference('sup-', [status(thm)], [zip_derived_cl2234, zip_derived_cl925])).
% 22.06/3.76 thf(clause200, conjecture,
% 22.06/3.76 (~( ( ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) |
% 22.06/3.76 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 22.06/3.76 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 22.06/3.76 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 22.06/3.76 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 22.06/3.76 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 22.06/3.76 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 22.06/3.76 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 22.06/3.76 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 22.06/3.76 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 22.06/3.76 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 22.06/3.76 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 22.06/3.76 ( ~( ssPv16_11r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) ))).
% 22.06/3.76 thf(zf_stmt_95, negated_conjecture,
% 22.06/3.76 (( ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) |
% 22.06/3.76 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 22.06/3.76 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 22.06/3.76 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 22.06/3.76 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 22.06/3.76 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 22.06/3.76 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 22.06/3.76 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 22.06/3.76 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 22.06/3.76 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 22.06/3.76 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 22.06/3.76 ( ~( ssPv16_11r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) )),
% 22.06/3.76 inference('cnf.neg', [status(esa)], [clause200])).
% 22.06/3.76 thf(zip_derived_cl344, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.76 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 22.06/3.76 ( (ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.76 X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 22.06/3.76 | ~ (ssNder1_0)
% 22.06/3.76 | ~ (ssNder1_1r1 @ X0)
% 22.06/3.76 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 22.06/3.76 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 22.06/3.76 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 22.06/3.76 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 22.06/3.76 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 22.06/3.76 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 22.06/3.76 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.76 X7)
% 22.06/3.76 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.76 X6 @ X7 @ X8)
% 22.06/3.76 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.76 X6 @ X7 @ X8 @ X9)
% 22.06/3.76 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.76 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 22.06/3.76 | ~ (ssPv16_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.76 X6 @ X7 @ X8 @ X9 @ X10))),
% 22.06/3.76 inference('cnf', [status(esa)], [zf_stmt_95])).
% 22.06/3.76 thf(zip_derived_cl543, plain, ( (ssNder1_0)),
% 22.06/3.76 inference('cnf', [status(esa)], [zf_stmt_1])).
% 22.06/3.76 thf(zip_derived_cl549, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 22.06/3.76 inference('demod', [status(thm)], [zip_derived_cl542, zip_derived_cl543])).
% 22.06/3.76 thf(zip_derived_cl550, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl541, zip_derived_cl543, zip_derived_cl549])).
% 22.06/3.76 thf(zip_derived_cl556, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl535, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550])).
% 22.06/3.76 thf(zip_derived_cl574, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 22.06/3.76 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl526, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556])).
% 22.06/3.76 thf(zip_derived_cl595, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 22.06/3.76 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl512, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574])).
% 22.06/3.76 thf(zip_derived_cl619, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 22.06/3.76 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl497, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.76 zip_derived_cl595])).
% 22.06/3.76 thf(zip_derived_cl646, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 22.06/3.76 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl480, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.76 zip_derived_cl595, zip_derived_cl619])).
% 22.06/3.76 thf(zip_derived_cl677, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 22.06/3.76 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl461, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.76 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646])).
% 22.06/3.76 thf(zip_derived_cl711, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.76 X7 : $i, X8 : $i]:
% 22.06/3.76 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.76 X7 @ X8)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl439, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.76 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.76 zip_derived_cl677])).
% 22.06/3.76 thf(zip_derived_cl763, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.76 X7 : $i, X8 : $i, X9 : $i]:
% 22.06/3.76 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.76 X7 @ X8 @ X9)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl413, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.76 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.76 zip_derived_cl677, zip_derived_cl711])).
% 22.06/3.76 thf(zip_derived_cl807, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.76 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 22.06/3.76 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.76 X6 @ X7 @ X8 @ X9 @ X10)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl390, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.76 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.76 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763])).
% 22.06/3.76 thf(zip_derived_cl896, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.76 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 22.06/3.76 ( (ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.76 X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 22.06/3.76 | ~ (ssPv16_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.76 X6 @ X7 @ X8 @ X9 @ X10))),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl344, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.76 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.76 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763,
% 22.06/3.76 zip_derived_cl807])).
% 22.06/3.76 thf(clause250, conjecture,
% 22.06/3.76 (~( ( ssPv14_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) |
% 22.06/3.76 ( ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) |
% 22.06/3.76 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 22.06/3.76 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 22.06/3.76 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 22.06/3.76 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 22.06/3.76 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 22.06/3.76 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 22.06/3.76 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 22.06/3.76 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 22.06/3.76 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 22.06/3.76 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 22.06/3.76 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 22.06/3.76 ( ~( ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 22.06/3.76 ( ~( ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) ))).
% 22.06/3.76 thf(zf_stmt_96, negated_conjecture,
% 22.06/3.76 (( ssPv14_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) |
% 22.06/3.76 ( ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) |
% 22.06/3.76 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 22.06/3.76 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 22.06/3.76 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 22.06/3.76 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 22.06/3.76 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 22.06/3.76 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 22.06/3.76 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 22.06/3.76 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 22.06/3.76 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 22.06/3.76 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 22.06/3.76 ( ~( ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 22.06/3.76 ( ~( ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) )),
% 22.06/3.76 inference('cnf.neg', [status(esa)], [clause250])).
% 22.06/3.76 thf(zip_derived_cl294, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.76 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 22.06/3.76 ( (ssPv14_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.76 X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 22.06/3.76 | (ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.76 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 22.06/3.76 | ~ (ssNder1_0)
% 22.06/3.76 | ~ (ssNder1_1r1 @ X0)
% 22.06/3.76 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 22.06/3.76 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 22.06/3.76 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 22.06/3.76 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 22.06/3.76 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 22.06/3.76 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 22.06/3.76 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.76 X7)
% 22.06/3.76 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.76 X6 @ X7 @ X8)
% 22.06/3.76 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.76 X6 @ X7 @ X8 @ X9)
% 22.06/3.76 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.76 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 22.06/3.76 | ~ (ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.76 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 22.06/3.76 | ~ (ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.76 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11))),
% 22.06/3.76 inference('cnf', [status(esa)], [zf_stmt_96])).
% 22.06/3.76 thf(zip_derived_cl543, plain, ( (ssNder1_0)),
% 22.06/3.76 inference('cnf', [status(esa)], [zf_stmt_1])).
% 22.06/3.76 thf(zip_derived_cl549, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 22.06/3.76 inference('demod', [status(thm)], [zip_derived_cl542, zip_derived_cl543])).
% 22.06/3.76 thf(zip_derived_cl550, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl541, zip_derived_cl543, zip_derived_cl549])).
% 22.06/3.76 thf(zip_derived_cl556, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl535, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550])).
% 22.06/3.76 thf(zip_derived_cl574, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 22.06/3.76 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl526, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556])).
% 22.06/3.76 thf(zip_derived_cl595, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 22.06/3.76 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl512, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574])).
% 22.06/3.76 thf(zip_derived_cl619, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 22.06/3.76 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl497, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.76 zip_derived_cl595])).
% 22.06/3.76 thf(zip_derived_cl646, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 22.06/3.76 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl480, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.76 zip_derived_cl595, zip_derived_cl619])).
% 22.06/3.76 thf(zip_derived_cl677, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 22.06/3.76 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl461, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.76 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646])).
% 22.06/3.76 thf(zip_derived_cl711, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.76 X7 : $i, X8 : $i]:
% 22.06/3.76 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.76 X7 @ X8)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl439, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.76 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.76 zip_derived_cl677])).
% 22.06/3.76 thf(zip_derived_cl763, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.76 X7 : $i, X8 : $i, X9 : $i]:
% 22.06/3.76 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.76 X7 @ X8 @ X9)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl413, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.76 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.76 zip_derived_cl677, zip_derived_cl711])).
% 22.06/3.76 thf(zip_derived_cl807, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.76 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 22.06/3.76 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.76 X6 @ X7 @ X8 @ X9 @ X10)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl390, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.76 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.76 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763])).
% 22.06/3.76 thf(zip_derived_cl1027, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.76 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 22.06/3.76 ( (ssPv14_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.76 X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 22.06/3.76 | (ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.76 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 22.06/3.76 | ~ (ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.76 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 22.06/3.76 | ~ (ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.76 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11))),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl294, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.76 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.76 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763,
% 22.06/3.76 zip_derived_cl807])).
% 22.06/3.76 thf(zip_derived_cl1028, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.76 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 22.06/3.76 (~ (ssPv16_11r1r1r1r1r1r1r1r1r1r1r1 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @
% 22.06/3.76 X5 @ X4 @ X3 @ X2 @ X1)
% 22.06/3.76 | ~ (ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X11 @ X10 @ X9 @ X8 @ X7 @
% 22.06/3.76 X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 22.06/3.76 | (ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X11 @ X10 @ X9 @ X8 @ X7 @
% 22.06/3.76 X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 22.06/3.76 | (ssPv14_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X11 @ X10 @ X9 @ X8 @ X7 @
% 22.06/3.76 X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0))),
% 22.06/3.76 inference('sup-', [status(thm)], [zip_derived_cl896, zip_derived_cl1027])).
% 22.06/3.76 thf(zip_derived_cl2254, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.76 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 22.06/3.76 ( (ssPv10_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X11 @ X10 @ X9 @ X8 @ X7 @
% 22.06/3.76 X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ skc22)
% 22.06/3.76 | (ssPv14_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X11 @ X10 @ X9 @ X8 @ X7 @
% 22.06/3.76 X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 22.06/3.76 | (ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X11 @ X10 @ X9 @ X8 @ X7 @
% 22.06/3.76 X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 22.06/3.76 | ~ (ssPv16_11r1r1r1r1r1r1r1r1r1r1r1 @ X11 @ X10 @ X9 @ X8 @ X7 @
% 22.06/3.76 X6 @ X5 @ X4 @ X3 @ X2 @ X1))),
% 22.06/3.76 inference('sup-', [status(thm)], [zip_derived_cl2236, zip_derived_cl1028])).
% 22.06/3.76 thf(clause236, conjecture,
% 22.06/3.76 (~( ( ssPv10_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) |
% 22.06/3.76 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 22.06/3.76 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 22.06/3.76 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 22.06/3.76 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 22.06/3.76 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 22.06/3.76 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 22.06/3.76 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 22.06/3.76 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 22.06/3.76 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 22.06/3.76 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 22.06/3.76 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 22.06/3.76 ( ~( ssPv10_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 22.06/3.76 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) ))).
% 22.06/3.76 thf(zf_stmt_97, negated_conjecture,
% 22.06/3.76 (( ssPv10_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) |
% 22.06/3.76 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 22.06/3.76 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 22.06/3.76 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 22.06/3.76 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 22.06/3.76 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 22.06/3.76 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 22.06/3.76 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 22.06/3.76 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 22.06/3.76 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 22.06/3.76 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 22.06/3.76 ( ~( ssPv10_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 22.06/3.76 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) )),
% 22.06/3.76 inference('cnf.neg', [status(esa)], [clause236])).
% 22.06/3.76 thf(zip_derived_cl308, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.76 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 22.06/3.76 ( (ssPv10_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.76 X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 22.06/3.76 | ~ (ssNder1_0)
% 22.06/3.76 | ~ (ssNder1_1r1 @ X0)
% 22.06/3.76 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 22.06/3.76 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 22.06/3.76 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 22.06/3.76 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 22.06/3.76 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 22.06/3.76 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 22.06/3.76 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.76 X7)
% 22.06/3.76 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.76 X6 @ X7 @ X8)
% 22.06/3.76 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.76 X6 @ X7 @ X8 @ X9)
% 22.06/3.76 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.76 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 22.06/3.76 | ~ (ssPv10_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.76 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 22.06/3.76 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.76 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11))),
% 22.06/3.76 inference('cnf', [status(esa)], [zf_stmt_97])).
% 22.06/3.76 thf(zip_derived_cl543, plain, ( (ssNder1_0)),
% 22.06/3.76 inference('cnf', [status(esa)], [zf_stmt_1])).
% 22.06/3.76 thf(zip_derived_cl549, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 22.06/3.76 inference('demod', [status(thm)], [zip_derived_cl542, zip_derived_cl543])).
% 22.06/3.76 thf(zip_derived_cl550, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl541, zip_derived_cl543, zip_derived_cl549])).
% 22.06/3.76 thf(zip_derived_cl556, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl535, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550])).
% 22.06/3.76 thf(zip_derived_cl574, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 22.06/3.76 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl526, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556])).
% 22.06/3.76 thf(zip_derived_cl595, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 22.06/3.76 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl512, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574])).
% 22.06/3.76 thf(zip_derived_cl619, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 22.06/3.76 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl497, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.76 zip_derived_cl595])).
% 22.06/3.76 thf(zip_derived_cl646, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 22.06/3.76 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl480, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.76 zip_derived_cl595, zip_derived_cl619])).
% 22.06/3.76 thf(zip_derived_cl677, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 22.06/3.76 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl461, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.76 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646])).
% 22.06/3.76 thf(zip_derived_cl711, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.76 X7 : $i, X8 : $i]:
% 22.06/3.76 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.76 X7 @ X8)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl439, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.76 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.76 zip_derived_cl677])).
% 22.06/3.76 thf(zip_derived_cl763, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.76 X7 : $i, X8 : $i, X9 : $i]:
% 22.06/3.76 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.76 X7 @ X8 @ X9)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl413, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.76 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.76 zip_derived_cl677, zip_derived_cl711])).
% 22.06/3.76 thf(zip_derived_cl807, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.76 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 22.06/3.76 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.76 X6 @ X7 @ X8 @ X9 @ X10)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl390, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.76 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.76 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763])).
% 22.06/3.76 thf(zip_derived_cl857, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.76 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 22.06/3.76 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.76 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl363, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.76 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.76 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763,
% 22.06/3.76 zip_derived_cl807])).
% 22.06/3.76 thf(zip_derived_cl926, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.76 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 22.06/3.76 ( (ssPv10_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.76 X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 22.06/3.76 | ~ (ssPv10_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.76 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12))),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl308, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.76 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.76 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763,
% 22.06/3.76 zip_derived_cl807, zip_derived_cl857])).
% 22.06/3.76 thf(zip_derived_cl2259, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.76 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 22.06/3.76 (~ (ssPv16_11r1r1r1r1r1r1r1r1r1r1r1 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @
% 22.06/3.76 X5 @ X4 @ X3 @ X2 @ X1)
% 22.06/3.76 | (ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X11 @ X10 @ X9 @ X8 @ X7 @
% 22.06/3.76 X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 22.06/3.76 | (ssPv14_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X11 @ X10 @ X9 @ X8 @ X7 @
% 22.06/3.76 X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 22.06/3.76 | (ssPv10_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X11 @ X10 @ X9 @ X8 @ X7 @
% 22.06/3.76 X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0))),
% 22.06/3.76 inference('sup-', [status(thm)], [zip_derived_cl2254, zip_derived_cl926])).
% 22.06/3.76 thf(clause195, conjecture,
% 22.06/3.76 (~( ( ssPv10_11r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) |
% 22.06/3.76 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 22.06/3.76 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 22.06/3.76 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 22.06/3.76 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 22.06/3.76 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 22.06/3.76 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 22.06/3.76 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 22.06/3.76 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 22.06/3.76 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 22.06/3.76 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 22.06/3.76 ( ~( ssPv10_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 22.06/3.76 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) ))).
% 22.06/3.76 thf(zf_stmt_98, negated_conjecture,
% 22.06/3.76 (( ssPv10_11r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) |
% 22.06/3.76 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 22.06/3.76 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 22.06/3.76 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 22.06/3.76 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 22.06/3.76 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 22.06/3.76 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 22.06/3.76 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 22.06/3.76 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 22.06/3.76 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 22.06/3.76 ( ~( ssPv10_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 22.06/3.76 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) )),
% 22.06/3.76 inference('cnf.neg', [status(esa)], [clause195])).
% 22.06/3.76 thf(zip_derived_cl349, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.76 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 22.06/3.76 ( (ssPv10_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.76 X6 @ X7 @ X8 @ X9 @ X10)
% 22.06/3.76 | ~ (ssNder1_0)
% 22.06/3.76 | ~ (ssNder1_1r1 @ X0)
% 22.06/3.76 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 22.06/3.76 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 22.06/3.76 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 22.06/3.76 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 22.06/3.76 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 22.06/3.76 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 22.06/3.76 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.76 X7)
% 22.06/3.76 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.76 X6 @ X7 @ X8)
% 22.06/3.76 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.76 X6 @ X7 @ X8 @ X9)
% 22.06/3.76 | ~ (ssPv10_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.76 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 22.06/3.76 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.76 X5 @ X6 @ X7 @ X8 @ X9 @ X10))),
% 22.06/3.76 inference('cnf', [status(esa)], [zf_stmt_98])).
% 22.06/3.76 thf(zip_derived_cl543, plain, ( (ssNder1_0)),
% 22.06/3.76 inference('cnf', [status(esa)], [zf_stmt_1])).
% 22.06/3.76 thf(zip_derived_cl549, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 22.06/3.76 inference('demod', [status(thm)], [zip_derived_cl542, zip_derived_cl543])).
% 22.06/3.76 thf(zip_derived_cl550, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl541, zip_derived_cl543, zip_derived_cl549])).
% 22.06/3.76 thf(zip_derived_cl556, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl535, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550])).
% 22.06/3.76 thf(zip_derived_cl574, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 22.06/3.76 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl526, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556])).
% 22.06/3.76 thf(zip_derived_cl595, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 22.06/3.76 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl512, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574])).
% 22.06/3.76 thf(zip_derived_cl619, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 22.06/3.76 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl497, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.76 zip_derived_cl595])).
% 22.06/3.76 thf(zip_derived_cl646, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 22.06/3.76 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl480, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.76 zip_derived_cl595, zip_derived_cl619])).
% 22.06/3.76 thf(zip_derived_cl677, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 22.06/3.76 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl461, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.76 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646])).
% 22.06/3.76 thf(zip_derived_cl711, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.76 X7 : $i, X8 : $i]:
% 22.06/3.76 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.76 X7 @ X8)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl439, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.76 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.76 zip_derived_cl677])).
% 22.06/3.76 thf(zip_derived_cl763, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.76 X7 : $i, X8 : $i, X9 : $i]:
% 22.06/3.76 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.76 X7 @ X8 @ X9)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl413, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.76 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.76 zip_derived_cl677, zip_derived_cl711])).
% 22.06/3.76 thf(zip_derived_cl807, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.76 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 22.06/3.76 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.76 X6 @ X7 @ X8 @ X9 @ X10)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl390, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.76 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.76 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763])).
% 22.06/3.76 thf(zip_derived_cl876, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.76 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 22.06/3.76 ( (ssPv10_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.76 X6 @ X7 @ X8 @ X9 @ X10)
% 22.06/3.76 | ~ (ssPv10_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.76 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11))),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl349, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.76 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.76 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763,
% 22.06/3.76 zip_derived_cl807])).
% 22.06/3.76 thf(zip_derived_cl2262, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.76 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 22.06/3.76 ( (ssPv14_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X11 @ X10 @ X9 @ X8 @ X7 @
% 22.06/3.76 X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 22.06/3.76 | (ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X11 @ X10 @ X9 @ X8 @ X7 @
% 22.06/3.76 X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 22.06/3.76 | ~ (ssPv16_11r1r1r1r1r1r1r1r1r1r1r1 @ X11 @ X10 @ X9 @ X8 @ X7 @
% 22.06/3.76 X6 @ X5 @ X4 @ X3 @ X2 @ X1)
% 22.06/3.76 | (ssPv10_11r1r1r1r1r1r1r1r1r1r1r1 @ X11 @ X10 @ X9 @ X8 @ X7 @
% 22.06/3.76 X6 @ X5 @ X4 @ X3 @ X2 @ X1))),
% 22.06/3.76 inference('sup-', [status(thm)], [zip_derived_cl2259, zip_derived_cl876])).
% 22.06/3.76 thf(zip_derived_cl2272, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.76 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 22.06/3.76 (~ (ssPv16_10r1r1r1r1r1r1r1r1r1r1 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @
% 22.06/3.76 X4 @ X3 @ X2 @ X1)
% 22.06/3.76 | (ssPv10_11r1r1r1r1r1r1r1r1r1r1r1 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @
% 22.06/3.76 X4 @ X3 @ X2 @ X1 @ X0)
% 22.06/3.76 | (ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X10 @ X9 @ X8 @ X7 @ X6 @
% 22.06/3.76 X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X11)
% 22.06/3.76 | (ssPv14_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X10 @ X9 @ X8 @ X7 @ X6 @
% 22.06/3.76 X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X11))),
% 22.06/3.76 inference('sup-', [status(thm)], [zip_derived_cl851, zip_derived_cl2262])).
% 22.06/3.76 thf(zip_derived_cl2273, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.76 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 22.06/3.76 (~ (ssPv16_9r1r1r1r1r1r1r1r1r1 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @
% 22.06/3.76 X2 @ X1)
% 22.06/3.76 | (ssPv14_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X9 @ X8 @ X7 @ X6 @ X5 @
% 22.06/3.76 X4 @ X3 @ X2 @ X1 @ X0 @ X11 @ X10)
% 22.06/3.76 | (ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X9 @ X8 @ X7 @ X6 @ X5 @
% 22.06/3.76 X4 @ X3 @ X2 @ X1 @ X0 @ X11 @ X10)
% 22.06/3.76 | (ssPv10_11r1r1r1r1r1r1r1r1r1r1r1 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @
% 22.06/3.76 X3 @ X2 @ X1 @ X0 @ X11))),
% 22.06/3.76 inference('sup-', [status(thm)], [zip_derived_cl796, zip_derived_cl2272])).
% 22.06/3.76 thf(zip_derived_cl2274, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.76 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 22.06/3.76 (~ (ssPv16_8r1r1r1r1r1r1r1r1 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1)
% 22.06/3.76 | (ssPv10_11r1r1r1r1r1r1r1r1r1r1r1 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @
% 22.06/3.76 X2 @ X1 @ X0 @ X10 @ X9)
% 22.06/3.76 | (ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X8 @ X7 @ X6 @ X5 @ X4 @
% 22.06/3.76 X3 @ X2 @ X1 @ X0 @ X10 @ X9 @ X11)
% 22.06/3.76 | (ssPv14_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X8 @ X7 @ X6 @ X5 @ X4 @
% 22.06/3.76 X3 @ X2 @ X1 @ X0 @ X10 @ X9 @ X11))),
% 22.06/3.76 inference('sup-', [status(thm)], [zip_derived_cl753, zip_derived_cl2273])).
% 22.06/3.76 thf(zip_derived_cl2275, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.76 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 22.06/3.76 (~ (ssPv16_7r1r1r1r1r1r1r1 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1)
% 22.06/3.76 | (ssPv14_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X7 @ X6 @ X5 @ X4 @ X3 @
% 22.06/3.76 X2 @ X1 @ X0 @ X11 @ X10 @ X9 @ X8)
% 22.06/3.76 | (ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X7 @ X6 @ X5 @ X4 @ X3 @
% 22.06/3.76 X2 @ X1 @ X0 @ X11 @ X10 @ X9 @ X8)
% 22.06/3.76 | (ssPv10_11r1r1r1r1r1r1r1r1r1r1r1 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @
% 22.06/3.76 X1 @ X0 @ X11 @ X10 @ X9))),
% 22.06/3.76 inference('sup-', [status(thm)], [zip_derived_cl701, zip_derived_cl2274])).
% 22.06/3.76 thf(zip_derived_cl2276, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.76 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 22.06/3.76 (~ (ssPv16_6r1r1r1r1r1r1 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1)
% 22.06/3.76 | (ssPv10_11r1r1r1r1r1r1r1r1r1r1r1 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @
% 22.06/3.76 X0 @ X10 @ X9 @ X8 @ X7)
% 22.06/3.76 | (ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X6 @ X5 @ X4 @ X3 @ X2 @
% 22.06/3.76 X1 @ X0 @ X10 @ X9 @ X8 @ X7 @ X11)
% 22.06/3.76 | (ssPv14_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X6 @ X5 @ X4 @ X3 @ X2 @
% 22.06/3.76 X1 @ X0 @ X10 @ X9 @ X8 @ X7 @ X11))),
% 22.06/3.76 inference('sup-', [status(thm)], [zip_derived_cl669, zip_derived_cl2275])).
% 22.06/3.76 thf(zip_derived_cl2277, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.76 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 22.06/3.76 (~ (ssPv16_5r1r1r1r1r1 @ X5 @ X4 @ X3 @ X2 @ X1)
% 22.06/3.76 | (ssPv14_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X5 @ X4 @ X3 @ X2 @ X1 @
% 22.06/3.76 X0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6)
% 22.06/3.76 | (ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X5 @ X4 @ X3 @ X2 @ X1 @
% 22.06/3.76 X0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6)
% 22.06/3.76 | (ssPv10_11r1r1r1r1r1r1r1r1r1r1r1 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @
% 22.06/3.76 X11 @ X10 @ X9 @ X8 @ X7))),
% 22.06/3.76 inference('sup-', [status(thm)], [zip_derived_cl642, zip_derived_cl2276])).
% 22.06/3.76 thf(zip_derived_cl2278, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.76 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 22.06/3.76 ( (ssPv10_11r1r1r1r1r1r1r1r1r1r1r1 @ X3 @ X2 @ X1 @ X0 @ skc30 @ X9 @
% 22.06/3.76 X8 @ X7 @ X6 @ X5 @ X4)
% 22.06/3.76 | (ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X3 @ X2 @ X1 @ X0 @ skc30 @
% 22.06/3.76 X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X10)
% 22.06/3.76 | (ssPv14_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X3 @ X2 @ X1 @ X0 @ skc30 @
% 22.06/3.76 X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X10))),
% 22.06/3.76 inference('sup-', [status(thm)], [zip_derived_cl584, zip_derived_cl2277])).
% 22.06/3.76 thf(clause223, conjecture,
% 22.06/3.76 (~( ( ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) |
% 22.06/3.76 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 22.06/3.76 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 22.06/3.76 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 22.06/3.76 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 22.06/3.76 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 22.06/3.76 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 22.06/3.76 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 22.06/3.76 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 22.06/3.76 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 22.06/3.76 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 22.06/3.76 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 22.06/3.76 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 22.06/3.76 ( ~( ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) ))).
% 22.06/3.76 thf(zf_stmt_99, negated_conjecture,
% 22.06/3.76 (( ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) |
% 22.06/3.76 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 22.06/3.76 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 22.06/3.76 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 22.06/3.76 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 22.06/3.76 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 22.06/3.76 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 22.06/3.76 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 22.06/3.76 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 22.06/3.76 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 22.06/3.76 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 22.06/3.76 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 22.06/3.76 ( ~( ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) )),
% 22.06/3.76 inference('cnf.neg', [status(esa)], [clause223])).
% 22.06/3.76 thf(zip_derived_cl321, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.76 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 22.06/3.76 ( (ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.76 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 22.06/3.76 | ~ (ssNder1_0)
% 22.06/3.76 | ~ (ssNder1_1r1 @ X0)
% 22.06/3.76 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 22.06/3.76 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 22.06/3.76 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 22.06/3.76 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 22.06/3.76 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 22.06/3.76 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 22.06/3.76 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.76 X7)
% 22.06/3.76 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.76 X6 @ X7 @ X8)
% 22.06/3.76 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.76 X6 @ X7 @ X8 @ X9)
% 22.06/3.76 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.76 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 22.06/3.76 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.76 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 22.06/3.76 | ~ (ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.76 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11))),
% 22.06/3.76 inference('cnf', [status(esa)], [zf_stmt_99])).
% 22.06/3.76 thf(zip_derived_cl543, plain, ( (ssNder1_0)),
% 22.06/3.76 inference('cnf', [status(esa)], [zf_stmt_1])).
% 22.06/3.76 thf(zip_derived_cl549, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 22.06/3.76 inference('demod', [status(thm)], [zip_derived_cl542, zip_derived_cl543])).
% 22.06/3.76 thf(zip_derived_cl550, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl541, zip_derived_cl543, zip_derived_cl549])).
% 22.06/3.76 thf(zip_derived_cl556, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl535, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550])).
% 22.06/3.76 thf(zip_derived_cl574, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 22.06/3.76 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl526, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556])).
% 22.06/3.76 thf(zip_derived_cl595, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 22.06/3.76 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl512, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574])).
% 22.06/3.76 thf(zip_derived_cl619, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 22.06/3.76 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl497, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.76 zip_derived_cl595])).
% 22.06/3.76 thf(zip_derived_cl646, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 22.06/3.76 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl480, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.76 zip_derived_cl595, zip_derived_cl619])).
% 22.06/3.76 thf(zip_derived_cl677, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 22.06/3.76 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl461, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.76 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646])).
% 22.06/3.76 thf(zip_derived_cl711, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.76 X7 : $i, X8 : $i]:
% 22.06/3.76 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.76 X7 @ X8)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl439, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.76 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.76 zip_derived_cl677])).
% 22.06/3.76 thf(zip_derived_cl763, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.76 X7 : $i, X8 : $i, X9 : $i]:
% 22.06/3.76 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.76 X7 @ X8 @ X9)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl413, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.76 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.76 zip_derived_cl677, zip_derived_cl711])).
% 22.06/3.76 thf(zip_derived_cl807, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.76 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 22.06/3.76 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.76 X6 @ X7 @ X8 @ X9 @ X10)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl390, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.76 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.76 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763])).
% 22.06/3.76 thf(zip_derived_cl857, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.76 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 22.06/3.76 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.76 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl363, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.76 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.76 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763,
% 22.06/3.76 zip_derived_cl807])).
% 22.06/3.76 thf(zip_derived_cl956, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.76 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 22.06/3.76 ( (ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.76 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 22.06/3.76 | ~ (ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.76 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11))),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl321, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.76 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.76 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763,
% 22.06/3.76 zip_derived_cl807, zip_derived_cl857])).
% 22.06/3.76 thf(clause267, conjecture,
% 22.06/3.76 (~( ( ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) |
% 22.06/3.76 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 22.06/3.76 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 22.06/3.76 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 22.06/3.76 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 22.06/3.76 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 22.06/3.76 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 22.06/3.76 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 22.06/3.76 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 22.06/3.76 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 22.06/3.76 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 22.06/3.76 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 22.06/3.76 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 22.06/3.76 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 22.06/3.76 ( ~( ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) ))).
% 22.06/3.76 thf(zf_stmt_100, negated_conjecture,
% 22.06/3.76 (( ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) |
% 22.06/3.76 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 22.06/3.76 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 22.06/3.76 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 22.06/3.76 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 22.06/3.76 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 22.06/3.76 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 22.06/3.76 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 22.06/3.76 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 22.06/3.76 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 22.06/3.76 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 22.06/3.76 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 22.06/3.76 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 22.06/3.76 ( ~( ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) )),
% 22.06/3.76 inference('cnf.neg', [status(esa)], [clause267])).
% 22.06/3.76 thf(zip_derived_cl277, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.76 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 22.06/3.76 ( (ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.76 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 22.06/3.76 | ~ (ssNder1_0)
% 22.06/3.76 | ~ (ssNder1_1r1 @ X0)
% 22.06/3.76 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 22.06/3.76 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 22.06/3.76 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 22.06/3.76 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 22.06/3.76 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 22.06/3.76 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 22.06/3.76 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.76 X7)
% 22.06/3.76 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.76 X6 @ X7 @ X8)
% 22.06/3.76 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.76 X6 @ X7 @ X8 @ X9)
% 22.06/3.76 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.76 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 22.06/3.76 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.76 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 22.06/3.76 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.76 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 22.06/3.76 | ~ (ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.76 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12))),
% 22.06/3.76 inference('cnf', [status(esa)], [zf_stmt_100])).
% 22.06/3.76 thf(zip_derived_cl543, plain, ( (ssNder1_0)),
% 22.06/3.76 inference('cnf', [status(esa)], [zf_stmt_1])).
% 22.06/3.76 thf(zip_derived_cl549, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 22.06/3.76 inference('demod', [status(thm)], [zip_derived_cl542, zip_derived_cl543])).
% 22.06/3.76 thf(zip_derived_cl550, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl541, zip_derived_cl543, zip_derived_cl549])).
% 22.06/3.76 thf(zip_derived_cl556, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl535, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550])).
% 22.06/3.76 thf(zip_derived_cl574, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 22.06/3.76 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl526, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556])).
% 22.06/3.76 thf(zip_derived_cl595, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 22.06/3.76 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl512, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574])).
% 22.06/3.76 thf(zip_derived_cl619, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 22.06/3.76 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl497, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.76 zip_derived_cl595])).
% 22.06/3.76 thf(zip_derived_cl646, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 22.06/3.76 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl480, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.76 zip_derived_cl595, zip_derived_cl619])).
% 22.06/3.76 thf(zip_derived_cl677, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 22.06/3.76 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl461, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.76 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646])).
% 22.06/3.76 thf(zip_derived_cl711, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.76 X7 : $i, X8 : $i]:
% 22.06/3.76 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.76 X7 @ X8)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl439, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.76 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.76 zip_derived_cl677])).
% 22.06/3.76 thf(zip_derived_cl763, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.76 X7 : $i, X8 : $i, X9 : $i]:
% 22.06/3.76 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.76 X7 @ X8 @ X9)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl413, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.76 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.76 zip_derived_cl677, zip_derived_cl711])).
% 22.06/3.76 thf(zip_derived_cl807, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.76 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 22.06/3.76 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.76 X6 @ X7 @ X8 @ X9 @ X10)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl390, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.76 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.76 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763])).
% 22.06/3.76 thf(zip_derived_cl857, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.76 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 22.06/3.76 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.76 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl363, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.76 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.76 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763,
% 22.06/3.76 zip_derived_cl807])).
% 22.06/3.76 thf(zip_derived_cl911, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.76 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 22.06/3.76 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.76 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl334, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.76 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.76 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763,
% 22.06/3.76 zip_derived_cl807, zip_derived_cl857])).
% 22.06/3.76 thf(zip_derived_cl1019, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.76 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 22.06/3.76 ( (ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.76 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 22.06/3.76 | ~ (ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.76 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12))),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl277, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.76 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.76 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763,
% 22.06/3.76 zip_derived_cl807, zip_derived_cl857, zip_derived_cl911])).
% 22.06/3.76 thf(clause325, conjecture,
% 22.06/3.76 (~( ( ssPv15_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) |
% 22.06/3.76 ( ssPv10_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) |
% 22.06/3.76 ( ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) |
% 22.06/3.76 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 22.06/3.76 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 22.06/3.76 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 22.06/3.76 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 22.06/3.76 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 22.06/3.76 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 22.06/3.76 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 22.06/3.76 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 22.06/3.76 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 22.06/3.76 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 22.06/3.76 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 22.06/3.76 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 22.06/3.76 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 22.06/3.76 ( ~( ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) ))).
% 22.06/3.76 thf(zf_stmt_101, negated_conjecture,
% 22.06/3.76 (( ssPv15_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) |
% 22.06/3.76 ( ssPv10_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) |
% 22.06/3.76 ( ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) |
% 22.06/3.76 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 22.06/3.76 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 22.06/3.76 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 22.06/3.76 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 22.06/3.76 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 22.06/3.76 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 22.06/3.76 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 22.06/3.76 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 22.06/3.76 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 22.06/3.76 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 22.06/3.76 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 22.06/3.76 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 22.06/3.76 ( ~( ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) )),
% 22.06/3.76 inference('cnf.neg', [status(esa)], [clause325])).
% 22.06/3.76 thf(zip_derived_cl219, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.76 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 22.06/3.76 ( (ssPv15_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.76 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 22.06/3.76 | (ssPv10_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.76 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 22.06/3.76 | (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.76 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 22.06/3.76 | ~ (ssNder1_0)
% 22.06/3.76 | ~ (ssNder1_1r1 @ X0)
% 22.06/3.76 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 22.06/3.76 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 22.06/3.76 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 22.06/3.76 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 22.06/3.76 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 22.06/3.76 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 22.06/3.76 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.76 X7)
% 22.06/3.76 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.76 X6 @ X7 @ X8)
% 22.06/3.76 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.76 X6 @ X7 @ X8 @ X9)
% 22.06/3.76 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.76 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 22.06/3.76 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.76 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 22.06/3.76 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.76 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 22.06/3.76 | ~ (ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 22.06/3.76 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13))),
% 22.06/3.76 inference('cnf', [status(esa)], [zf_stmt_101])).
% 22.06/3.76 thf(zip_derived_cl543, plain, ( (ssNder1_0)),
% 22.06/3.76 inference('cnf', [status(esa)], [zf_stmt_1])).
% 22.06/3.76 thf(zip_derived_cl549, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 22.06/3.76 inference('demod', [status(thm)], [zip_derived_cl542, zip_derived_cl543])).
% 22.06/3.76 thf(zip_derived_cl550, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl541, zip_derived_cl543, zip_derived_cl549])).
% 22.06/3.76 thf(zip_derived_cl556, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl535, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550])).
% 22.06/3.76 thf(zip_derived_cl574, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 22.06/3.76 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl526, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556])).
% 22.06/3.76 thf(zip_derived_cl595, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 22.06/3.76 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl512, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574])).
% 22.06/3.76 thf(zip_derived_cl619, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 22.06/3.76 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl497, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.76 zip_derived_cl595])).
% 22.06/3.76 thf(zip_derived_cl646, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 22.06/3.76 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl480, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.76 zip_derived_cl595, zip_derived_cl619])).
% 22.06/3.76 thf(zip_derived_cl677, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 22.06/3.76 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl461, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.76 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646])).
% 22.06/3.76 thf(zip_derived_cl711, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.76 X7 : $i, X8 : $i]:
% 22.06/3.76 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.76 X7 @ X8)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl439, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.76 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.76 zip_derived_cl677])).
% 22.06/3.76 thf(zip_derived_cl763, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.76 X7 : $i, X8 : $i, X9 : $i]:
% 22.06/3.76 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.76 X7 @ X8 @ X9)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl413, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.76 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.76 zip_derived_cl677, zip_derived_cl711])).
% 22.06/3.76 thf(zip_derived_cl807, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.76 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 22.06/3.76 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.76 X6 @ X7 @ X8 @ X9 @ X10)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl390, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.76 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.76 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763])).
% 22.06/3.76 thf(zip_derived_cl857, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.76 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 22.06/3.76 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.76 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl363, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.76 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.76 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763,
% 22.06/3.76 zip_derived_cl807])).
% 22.06/3.76 thf(zip_derived_cl911, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.76 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 22.06/3.76 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.76 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl334, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.76 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.76 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763,
% 22.06/3.76 zip_derived_cl807, zip_derived_cl857])).
% 22.06/3.76 thf(zip_derived_cl1170, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.76 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 22.06/3.76 ( (ssPv15_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.76 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 22.06/3.76 | (ssPv10_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.76 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 22.06/3.76 | (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.76 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 22.06/3.76 | ~ (ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 22.06/3.76 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13))),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl219, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.76 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.76 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763,
% 22.06/3.76 zip_derived_cl807, zip_derived_cl857, zip_derived_cl911])).
% 22.06/3.76 thf(zip_derived_cl984, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.76 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 22.06/3.76 ( (ssPv10_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.76 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 22.06/3.76 | ~ (ssPv10_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 22.06/3.76 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13))),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl263, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.76 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.76 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763,
% 22.06/3.76 zip_derived_cl807, zip_derived_cl857, zip_derived_cl911])).
% 22.06/3.76 thf(zip_derived_cl1171, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.76 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 22.06/3.76 (~ (ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X13 @ X12 @ X11 @ X10 @
% 22.06/3.76 X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 22.06/3.76 | (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X13 @ X12 @ X11 @ X10 @
% 22.06/3.76 X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 22.06/3.76 | (ssPv15_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X13 @ X12 @ X11 @ X10 @
% 22.06/3.76 X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 22.06/3.76 | (ssPv10_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X13 @ X12 @ X11 @ X10 @
% 22.06/3.76 X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1))),
% 22.06/3.76 inference('sup-', [status(thm)], [zip_derived_cl1170, zip_derived_cl984])).
% 22.06/3.76 thf(zip_derived_cl1172, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.76 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 22.06/3.76 (~ (ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X13 @ X12 @ X11 @ X10 @
% 22.06/3.76 X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1)
% 22.06/3.76 | (ssPv10_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X13 @ X12 @ X11 @ X10 @
% 22.06/3.76 X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1)
% 22.06/3.76 | (ssPv15_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X13 @ X12 @ X11 @ X10 @
% 22.06/3.76 X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 22.06/3.76 | (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X13 @ X12 @ X11 @ X10 @
% 22.06/3.76 X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0))),
% 22.06/3.76 inference('sup-', [status(thm)], [zip_derived_cl1019, zip_derived_cl1171])).
% 22.06/3.76 thf(clause276, conjecture,
% 22.06/3.76 (~( ( ssPv15_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) |
% 22.06/3.76 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 22.06/3.76 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 22.06/3.76 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 22.06/3.76 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 22.06/3.76 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 22.06/3.76 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 22.06/3.76 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 22.06/3.76 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 22.06/3.76 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 22.06/3.76 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 22.06/3.76 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 22.06/3.76 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 22.06/3.76 ( ~( ssPv15_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 22.06/3.76 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) ))).
% 22.06/3.76 thf(zf_stmt_102, negated_conjecture,
% 22.06/3.76 (( ssPv15_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) |
% 22.06/3.76 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 22.06/3.76 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 22.06/3.76 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 22.06/3.76 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 22.06/3.76 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 22.06/3.76 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 22.06/3.76 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 22.06/3.76 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 22.06/3.76 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 22.06/3.76 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 22.06/3.76 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 22.06/3.76 ( ~( ssPv15_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 22.06/3.76 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) )),
% 22.06/3.76 inference('cnf.neg', [status(esa)], [clause276])).
% 22.06/3.76 thf(zip_derived_cl268, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.76 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 22.06/3.76 ( (ssPv15_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.76 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 22.06/3.76 | ~ (ssNder1_0)
% 22.06/3.76 | ~ (ssNder1_1r1 @ X0)
% 22.06/3.76 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 22.06/3.76 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 22.06/3.76 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 22.06/3.76 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 22.06/3.76 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 22.06/3.76 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 22.06/3.76 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.76 X7)
% 22.06/3.76 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.76 X6 @ X7 @ X8)
% 22.06/3.76 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.76 X6 @ X7 @ X8 @ X9)
% 22.06/3.76 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.76 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 22.06/3.76 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.76 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 22.06/3.76 | ~ (ssPv15_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 22.06/3.76 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 22.06/3.76 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.76 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12))),
% 22.06/3.76 inference('cnf', [status(esa)], [zf_stmt_102])).
% 22.06/3.76 thf(zip_derived_cl543, plain, ( (ssNder1_0)),
% 22.06/3.76 inference('cnf', [status(esa)], [zf_stmt_1])).
% 22.06/3.76 thf(zip_derived_cl549, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 22.06/3.76 inference('demod', [status(thm)], [zip_derived_cl542, zip_derived_cl543])).
% 22.06/3.76 thf(zip_derived_cl550, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl541, zip_derived_cl543, zip_derived_cl549])).
% 22.06/3.76 thf(zip_derived_cl556, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl535, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550])).
% 22.06/3.76 thf(zip_derived_cl574, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 22.06/3.76 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl526, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556])).
% 22.06/3.76 thf(zip_derived_cl595, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 22.06/3.76 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl512, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574])).
% 22.06/3.76 thf(zip_derived_cl619, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 22.06/3.76 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl497, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.76 zip_derived_cl595])).
% 22.06/3.76 thf(zip_derived_cl646, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 22.06/3.76 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl480, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.76 zip_derived_cl595, zip_derived_cl619])).
% 22.06/3.76 thf(zip_derived_cl677, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 22.06/3.76 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl461, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.76 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646])).
% 22.06/3.76 thf(zip_derived_cl711, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.76 X7 : $i, X8 : $i]:
% 22.06/3.76 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.76 X7 @ X8)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl439, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.76 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.76 zip_derived_cl677])).
% 22.06/3.76 thf(zip_derived_cl763, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.76 X7 : $i, X8 : $i, X9 : $i]:
% 22.06/3.76 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.76 X7 @ X8 @ X9)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl413, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.76 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.76 zip_derived_cl677, zip_derived_cl711])).
% 22.06/3.76 thf(zip_derived_cl807, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.76 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 22.06/3.76 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.76 X6 @ X7 @ X8 @ X9 @ X10)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl390, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.76 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.76 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763])).
% 22.06/3.76 thf(zip_derived_cl857, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.76 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 22.06/3.76 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.76 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl363, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.76 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.76 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763,
% 22.06/3.76 zip_derived_cl807])).
% 22.06/3.76 thf(zip_derived_cl911, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.76 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 22.06/3.76 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.76 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl334, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.76 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.76 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763,
% 22.06/3.76 zip_derived_cl807, zip_derived_cl857])).
% 22.06/3.76 thf(zip_derived_cl1006, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.76 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 22.06/3.76 ( (ssPv15_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.76 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 22.06/3.76 | ~ (ssPv15_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 22.06/3.76 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13))),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl268, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.76 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.76 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763,
% 22.06/3.76 zip_derived_cl807, zip_derived_cl857, zip_derived_cl911])).
% 22.06/3.76 thf(zip_derived_cl1173, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.76 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 22.06/3.76 ( (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X13 @ X12 @ X11 @ X10 @
% 22.06/3.76 X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 22.06/3.76 | (ssPv10_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X13 @ X12 @ X11 @ X10 @
% 22.06/3.76 X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1)
% 22.06/3.76 | ~ (ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X13 @ X12 @ X11 @ X10 @
% 22.06/3.76 X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1)
% 22.06/3.76 | (ssPv15_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X13 @ X12 @ X11 @ X10 @
% 22.06/3.76 X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1))),
% 22.06/3.76 inference('sup-', [status(thm)], [zip_derived_cl1172, zip_derived_cl1006])).
% 22.06/3.76 thf(zip_derived_cl1174, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.76 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 22.06/3.76 (~ (ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X12 @ X11 @ X10 @ X9 @ X8 @
% 22.06/3.76 X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1)
% 22.06/3.76 | (ssPv15_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X12 @ X11 @ X10 @ X9 @
% 22.06/3.76 X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 22.06/3.76 | (ssPv10_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X12 @ X11 @ X10 @ X9 @
% 22.06/3.76 X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 22.06/3.76 | (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X12 @ X11 @ X10 @ X9 @
% 22.06/3.76 X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X13))),
% 22.06/3.76 inference('sup-', [status(thm)], [zip_derived_cl956, zip_derived_cl1173])).
% 22.06/3.76 thf(zip_derived_cl2291, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.76 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 22.06/3.76 ( (ssPv14_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X10 @ X9 @ X8 @ X7 @ skc30 @
% 22.06/3.76 X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 22.06/3.76 | (ssPv10_11r1r1r1r1r1r1r1r1r1r1r1 @ X10 @ X9 @ X8 @ X7 @ skc30 @
% 22.06/3.76 X6 @ X5 @ X4 @ X3 @ X2 @ X1)
% 22.06/3.76 | (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X10 @ X9 @ X8 @ X7 @
% 22.06/3.76 skc30 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X12 @ X11)
% 22.06/3.76 | (ssPv10_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X10 @ X9 @ X8 @ X7 @
% 22.06/3.76 skc30 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X12)
% 22.06/3.76 | (ssPv15_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X10 @ X9 @ X8 @ X7 @
% 22.06/3.76 skc30 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X12))),
% 22.06/3.76 inference('sup-', [status(thm)], [zip_derived_cl2278, zip_derived_cl1174])).
% 22.06/3.76 thf(zip_derived_cl926, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.76 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 22.06/3.76 ( (ssPv10_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.76 X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 22.06/3.76 | ~ (ssPv10_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.76 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12))),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl308, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.76 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.76 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763,
% 22.06/3.76 zip_derived_cl807, zip_derived_cl857])).
% 22.06/3.76 thf(zip_derived_cl2332, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.76 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 22.06/3.76 ( (ssPv15_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X11 @ X10 @ X9 @ X8 @
% 22.06/3.76 skc30 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 22.06/3.76 | (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X11 @ X10 @ X9 @ X8 @
% 22.06/3.76 skc30 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X12)
% 22.06/3.76 | (ssPv10_11r1r1r1r1r1r1r1r1r1r1r1 @ X11 @ X10 @ X9 @ X8 @ skc30 @
% 22.06/3.76 X7 @ X6 @ X5 @ X4 @ X3 @ X2)
% 22.06/3.76 | (ssPv14_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X11 @ X10 @ X9 @ X8 @
% 22.06/3.76 skc30 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1)
% 22.06/3.76 | (ssPv10_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X11 @ X10 @ X9 @ X8 @
% 22.06/3.76 skc30 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1))),
% 22.06/3.76 inference('sup-', [status(thm)], [zip_derived_cl2291, zip_derived_cl926])).
% 22.06/3.76 thf(clause206, conjecture,
% 22.06/3.76 (~( ( ssPv10_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) |
% 22.06/3.76 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 22.06/3.76 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 22.06/3.76 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 22.06/3.76 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 22.06/3.76 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 22.06/3.76 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 22.06/3.76 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 22.06/3.76 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 22.06/3.76 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 22.06/3.76 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 22.06/3.76 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 22.06/3.76 ( ~( ssPv10_11r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) ))).
% 22.06/3.76 thf(zf_stmt_103, negated_conjecture,
% 22.06/3.76 (( ssPv10_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) |
% 22.06/3.76 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 22.06/3.76 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 22.06/3.76 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 22.06/3.76 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 22.06/3.76 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 22.06/3.76 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 22.06/3.76 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 22.06/3.76 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 22.06/3.76 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 22.06/3.76 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 22.06/3.76 ( ~( ssPv10_11r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) )),
% 22.06/3.76 inference('cnf.neg', [status(esa)], [clause206])).
% 22.06/3.76 thf(zip_derived_cl338, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.76 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 22.06/3.76 ( (ssPv10_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.76 X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 22.06/3.76 | ~ (ssNder1_0)
% 22.06/3.76 | ~ (ssNder1_1r1 @ X0)
% 22.06/3.76 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 22.06/3.76 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 22.06/3.76 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 22.06/3.76 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 22.06/3.76 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 22.06/3.76 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 22.06/3.76 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.76 X7)
% 22.06/3.76 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.76 X6 @ X7 @ X8)
% 22.06/3.76 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.76 X6 @ X7 @ X8 @ X9)
% 22.06/3.76 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.76 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 22.06/3.76 | ~ (ssPv10_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.76 X6 @ X7 @ X8 @ X9 @ X10))),
% 22.06/3.76 inference('cnf', [status(esa)], [zf_stmt_103])).
% 22.06/3.76 thf(zip_derived_cl543, plain, ( (ssNder1_0)),
% 22.06/3.76 inference('cnf', [status(esa)], [zf_stmt_1])).
% 22.06/3.76 thf(zip_derived_cl549, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 22.06/3.76 inference('demod', [status(thm)], [zip_derived_cl542, zip_derived_cl543])).
% 22.06/3.76 thf(zip_derived_cl550, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl541, zip_derived_cl543, zip_derived_cl549])).
% 22.06/3.76 thf(zip_derived_cl556, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl535, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550])).
% 22.06/3.76 thf(zip_derived_cl574, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 22.06/3.76 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl526, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556])).
% 22.06/3.76 thf(zip_derived_cl595, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 22.06/3.76 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl512, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574])).
% 22.06/3.76 thf(zip_derived_cl619, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 22.06/3.76 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl497, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.76 zip_derived_cl595])).
% 22.06/3.76 thf(zip_derived_cl646, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 22.06/3.76 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl480, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.76 zip_derived_cl595, zip_derived_cl619])).
% 22.06/3.76 thf(zip_derived_cl677, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 22.06/3.76 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl461, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.76 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646])).
% 22.06/3.76 thf(zip_derived_cl711, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.76 X7 : $i, X8 : $i]:
% 22.06/3.76 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.76 X7 @ X8)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl439, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.76 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.76 zip_derived_cl677])).
% 22.06/3.76 thf(zip_derived_cl763, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.76 X7 : $i, X8 : $i, X9 : $i]:
% 22.06/3.76 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.76 X7 @ X8 @ X9)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl413, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.76 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.76 zip_derived_cl677, zip_derived_cl711])).
% 22.06/3.76 thf(zip_derived_cl807, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.76 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 22.06/3.76 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.76 X6 @ X7 @ X8 @ X9 @ X10)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl390, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.76 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.76 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763])).
% 22.06/3.76 thf(zip_derived_cl885, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.76 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 22.06/3.76 ( (ssPv10_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.76 X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 22.06/3.76 | ~ (ssPv10_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.76 X6 @ X7 @ X8 @ X9 @ X10))),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl338, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.76 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.76 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763,
% 22.06/3.76 zip_derived_cl807])).
% 22.06/3.76 thf(zip_derived_cl2366, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.76 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 22.06/3.76 ( (ssPv10_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X11 @ X10 @ X9 @ X8 @ skc30 @
% 22.06/3.76 X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1)
% 22.06/3.76 | (ssPv14_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X11 @ X10 @ X9 @ X8 @
% 22.06/3.76 skc30 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1)
% 22.06/3.76 | (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X11 @ X10 @ X9 @ X8 @
% 22.06/3.76 skc30 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X12)
% 22.06/3.76 | (ssPv15_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X11 @ X10 @ X9 @ X8 @
% 22.06/3.76 skc30 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0))),
% 22.06/3.76 inference('clc', [status(thm)], [zip_derived_cl2332, zip_derived_cl885])).
% 22.06/3.76 thf(clause231, conjecture,
% 22.06/3.76 (~( ( ssPv15_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) |
% 22.06/3.76 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 22.06/3.76 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 22.06/3.76 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 22.06/3.76 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 22.06/3.76 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 22.06/3.76 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 22.06/3.76 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 22.06/3.76 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 22.06/3.76 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 22.06/3.76 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 22.06/3.76 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 22.06/3.76 ( ~( ssPv15_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 22.06/3.76 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) ))).
% 22.06/3.76 thf(zf_stmt_104, negated_conjecture,
% 22.06/3.76 (( ssPv15_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) |
% 22.06/3.76 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 22.06/3.76 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 22.06/3.76 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 22.06/3.76 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 22.06/3.76 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 22.06/3.76 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 22.06/3.76 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 22.06/3.76 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 22.06/3.76 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 22.06/3.76 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 22.06/3.76 ( ~( ssPv15_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 22.06/3.76 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) )),
% 22.06/3.76 inference('cnf.neg', [status(esa)], [clause231])).
% 22.06/3.76 thf(zip_derived_cl313, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.76 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 22.06/3.76 ( (ssPv15_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.76 X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 22.06/3.76 | ~ (ssNder1_0)
% 22.06/3.76 | ~ (ssNder1_1r1 @ X0)
% 22.06/3.76 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 22.06/3.76 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 22.06/3.76 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 22.06/3.76 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 22.06/3.76 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 22.06/3.76 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 22.06/3.76 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.76 X7)
% 22.06/3.76 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.76 X6 @ X7 @ X8)
% 22.06/3.76 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.76 X6 @ X7 @ X8 @ X9)
% 22.06/3.76 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.76 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 22.06/3.76 | ~ (ssPv15_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.76 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 22.06/3.76 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.76 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11))),
% 22.06/3.76 inference('cnf', [status(esa)], [zf_stmt_104])).
% 22.06/3.76 thf(zip_derived_cl543, plain, ( (ssNder1_0)),
% 22.06/3.76 inference('cnf', [status(esa)], [zf_stmt_1])).
% 22.06/3.76 thf(zip_derived_cl549, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 22.06/3.76 inference('demod', [status(thm)], [zip_derived_cl542, zip_derived_cl543])).
% 22.06/3.76 thf(zip_derived_cl550, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl541, zip_derived_cl543, zip_derived_cl549])).
% 22.06/3.76 thf(zip_derived_cl556, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl535, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550])).
% 22.06/3.76 thf(zip_derived_cl574, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 22.06/3.76 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl526, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556])).
% 22.06/3.76 thf(zip_derived_cl595, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 22.06/3.76 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl512, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574])).
% 22.06/3.76 thf(zip_derived_cl619, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 22.06/3.76 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl497, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.76 zip_derived_cl595])).
% 22.06/3.76 thf(zip_derived_cl646, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 22.06/3.76 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl480, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.76 zip_derived_cl595, zip_derived_cl619])).
% 22.06/3.76 thf(zip_derived_cl677, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 22.06/3.76 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl461, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.76 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646])).
% 22.06/3.76 thf(zip_derived_cl711, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.76 X7 : $i, X8 : $i]:
% 22.06/3.76 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.76 X7 @ X8)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl439, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.76 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.76 zip_derived_cl677])).
% 22.06/3.76 thf(zip_derived_cl763, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.76 X7 : $i, X8 : $i, X9 : $i]:
% 22.06/3.76 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.76 X7 @ X8 @ X9)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl413, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.76 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.76 zip_derived_cl677, zip_derived_cl711])).
% 22.06/3.76 thf(zip_derived_cl807, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.76 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 22.06/3.76 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.76 X6 @ X7 @ X8 @ X9 @ X10)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl390, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.76 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.76 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763])).
% 22.06/3.76 thf(zip_derived_cl857, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.76 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 22.06/3.76 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.76 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl363, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.76 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.76 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763,
% 22.06/3.76 zip_derived_cl807])).
% 22.06/3.76 thf(zip_derived_cl937, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.76 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 22.06/3.76 ( (ssPv15_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.76 X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 22.06/3.76 | ~ (ssPv15_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.76 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12))),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl313, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.76 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.76 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763,
% 22.06/3.76 zip_derived_cl807, zip_derived_cl857])).
% 22.06/3.76 thf(zip_derived_cl2371, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.76 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 22.06/3.76 ( (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X11 @ X10 @ X9 @ X8 @
% 22.06/3.76 skc30 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X12)
% 22.06/3.76 | (ssPv14_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X11 @ X10 @ X9 @ X8 @
% 22.06/3.76 skc30 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1)
% 22.06/3.76 | (ssPv10_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X11 @ X10 @ X9 @ X8 @
% 22.06/3.76 skc30 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1)
% 22.06/3.76 | (ssPv15_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X11 @ X10 @ X9 @ X8 @
% 22.06/3.76 skc30 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1))),
% 22.06/3.76 inference('sup-', [status(thm)], [zip_derived_cl2366, zip_derived_cl937])).
% 22.06/3.76 thf(clause212, conjecture,
% 22.06/3.76 (~( ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 22.06/3.76 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 22.06/3.76 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 22.06/3.76 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 22.06/3.76 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 22.06/3.76 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 22.06/3.76 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 22.06/3.76 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 22.06/3.76 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 22.06/3.76 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 22.06/3.76 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 22.06/3.76 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 22.06/3.76 ( ~( ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ skc21 ) ) ))).
% 22.06/3.76 thf(zf_stmt_105, negated_conjecture,
% 22.06/3.76 (( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 22.06/3.76 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 22.06/3.76 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 22.06/3.76 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 22.06/3.76 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 22.06/3.76 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 22.06/3.76 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 22.06/3.76 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 22.06/3.76 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 22.06/3.76 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 22.06/3.76 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 22.06/3.76 ( ~( ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ skc21 ) )),
% 22.06/3.76 inference('cnf.neg', [status(esa)], [clause212])).
% 22.06/3.76 thf(zip_derived_cl332, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.76 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 22.06/3.76 (~ (ssNder1_0)
% 22.06/3.76 | ~ (ssNder1_1r1 @ X0)
% 22.06/3.76 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 22.06/3.76 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 22.06/3.76 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 22.06/3.76 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 22.06/3.76 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 22.06/3.76 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 22.06/3.76 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.76 X7)
% 22.06/3.76 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.76 X6 @ X7 @ X8)
% 22.06/3.76 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.76 X6 @ X7 @ X8 @ X9)
% 22.06/3.76 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.76 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 22.06/3.76 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.76 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 22.06/3.76 | ~ (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.76 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ skc21))),
% 22.06/3.76 inference('cnf', [status(esa)], [zf_stmt_105])).
% 22.06/3.76 thf(zip_derived_cl543, plain, ( (ssNder1_0)),
% 22.06/3.76 inference('cnf', [status(esa)], [zf_stmt_1])).
% 22.06/3.76 thf(zip_derived_cl549, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 22.06/3.76 inference('demod', [status(thm)], [zip_derived_cl542, zip_derived_cl543])).
% 22.06/3.76 thf(zip_derived_cl550, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl541, zip_derived_cl543, zip_derived_cl549])).
% 22.06/3.76 thf(zip_derived_cl556, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl535, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550])).
% 22.06/3.76 thf(zip_derived_cl573, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.76 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 22.06/3.76 (~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 22.06/3.76 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 22.06/3.76 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 22.06/3.76 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 22.06/3.76 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.76 X7)
% 22.06/3.76 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.76 X6 @ X7 @ X8)
% 22.06/3.76 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.76 X6 @ X7 @ X8 @ X9)
% 22.06/3.76 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.76 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 22.06/3.76 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.76 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 22.06/3.76 | ~ (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.76 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ skc21))),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl332, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556])).
% 22.06/3.76 thf(zip_derived_cl574, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 22.06/3.76 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl526, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556])).
% 22.06/3.76 thf(zip_derived_cl579, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.76 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 22.06/3.76 (~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 22.06/3.76 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 22.06/3.76 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 22.06/3.76 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.76 X7)
% 22.06/3.76 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.76 X6 @ X7 @ X8)
% 22.06/3.76 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.76 X6 @ X7 @ X8 @ X9)
% 22.06/3.76 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.76 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 22.06/3.76 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.76 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 22.06/3.76 | ~ (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.76 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ skc21))),
% 22.06/3.76 inference('demod', [status(thm)], [zip_derived_cl573, zip_derived_cl574])).
% 22.06/3.76 thf(zip_derived_cl595, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 22.06/3.76 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl512, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574])).
% 22.06/3.76 thf(zip_derived_cl599, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.76 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 22.06/3.76 (~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 22.06/3.76 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 22.06/3.76 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.76 X7)
% 22.06/3.76 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.76 X6 @ X7 @ X8)
% 22.06/3.76 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.76 X6 @ X7 @ X8 @ X9)
% 22.06/3.76 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.76 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 22.06/3.76 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.76 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 22.06/3.76 | ~ (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.76 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ skc21))),
% 22.06/3.76 inference('demod', [status(thm)], [zip_derived_cl579, zip_derived_cl595])).
% 22.06/3.76 thf(zip_derived_cl619, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 22.06/3.76 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl497, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.76 zip_derived_cl595])).
% 22.06/3.76 thf(zip_derived_cl622, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.76 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 22.06/3.76 (~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 22.06/3.76 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.76 X7)
% 22.06/3.76 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.76 X6 @ X7 @ X8)
% 22.06/3.76 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.76 X6 @ X7 @ X8 @ X9)
% 22.06/3.76 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.76 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 22.06/3.76 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.76 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 22.06/3.76 | ~ (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.76 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ skc21))),
% 22.06/3.76 inference('demod', [status(thm)], [zip_derived_cl599, zip_derived_cl619])).
% 22.06/3.76 thf(zip_derived_cl646, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 22.06/3.76 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl480, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.76 zip_derived_cl595, zip_derived_cl619])).
% 22.06/3.76 thf(zip_derived_cl648, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.76 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 22.06/3.76 (~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)
% 22.06/3.76 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.76 X6 @ X7 @ X8)
% 22.06/3.76 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.76 X6 @ X7 @ X8 @ X9)
% 22.06/3.76 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.76 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 22.06/3.76 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.76 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 22.06/3.76 | ~ (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.76 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ skc21))),
% 22.06/3.76 inference('demod', [status(thm)], [zip_derived_cl622, zip_derived_cl646])).
% 22.06/3.76 thf(zip_derived_cl677, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 22.06/3.76 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl461, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.76 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646])).
% 22.06/3.76 thf(zip_derived_cl679, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.76 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 22.06/3.76 (~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.76 X7 @ X8)
% 22.06/3.76 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.76 X6 @ X7 @ X8 @ X9)
% 22.06/3.76 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.76 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 22.06/3.76 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.76 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 22.06/3.76 | ~ (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.76 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ skc21))),
% 22.06/3.76 inference('demod', [status(thm)], [zip_derived_cl648, zip_derived_cl677])).
% 22.06/3.76 thf(zip_derived_cl711, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.76 X7 : $i, X8 : $i]:
% 22.06/3.76 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.76 X7 @ X8)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl439, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.76 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.76 zip_derived_cl677])).
% 22.06/3.76 thf(zip_derived_cl713, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.76 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 22.06/3.76 (~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.76 X6 @ X7 @ X8 @ X9)
% 22.06/3.76 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.76 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 22.06/3.76 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.76 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 22.06/3.76 | ~ (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.76 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ skc21))),
% 22.06/3.76 inference('demod', [status(thm)], [zip_derived_cl679, zip_derived_cl711])).
% 22.06/3.76 thf(zip_derived_cl763, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.76 X7 : $i, X8 : $i, X9 : $i]:
% 22.06/3.76 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.76 X7 @ X8 @ X9)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl413, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.76 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.76 zip_derived_cl677, zip_derived_cl711])).
% 22.06/3.76 thf(zip_derived_cl765, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.76 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 22.06/3.76 (~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.76 X6 @ X7 @ X8 @ X9 @ X10)
% 22.06/3.76 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.76 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 22.06/3.76 | ~ (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.76 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ skc21))),
% 22.06/3.76 inference('demod', [status(thm)], [zip_derived_cl713, zip_derived_cl763])).
% 22.06/3.76 thf(zip_derived_cl807, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.76 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 22.06/3.76 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.76 X6 @ X7 @ X8 @ X9 @ X10)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl390, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.76 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.76 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763])).
% 22.06/3.76 thf(zip_derived_cl809, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.76 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 22.06/3.76 (~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.76 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 22.06/3.76 | ~ (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.76 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ skc21))),
% 22.06/3.76 inference('demod', [status(thm)], [zip_derived_cl765, zip_derived_cl807])).
% 22.06/3.76 thf(zip_derived_cl857, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.76 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 22.06/3.76 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.76 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl363, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.76 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.76 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763,
% 22.06/3.76 zip_derived_cl807])).
% 22.06/3.76 thf(zip_derived_cl858, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.76 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 22.06/3.76 ~ (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.76 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ skc21)),
% 22.06/3.76 inference('demod', [status(thm)], [zip_derived_cl809, zip_derived_cl857])).
% 22.06/3.76 thf(zip_derived_cl2375, plain,
% 22.06/3.76 (![X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i,
% 22.06/3.76 X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 22.06/3.76 ( (ssPv15_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X11 @ X10 @ X9 @ X8 @ skc30 @
% 22.06/3.76 X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1)
% 22.06/3.76 | (ssPv10_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X11 @ X10 @ X9 @ X8 @
% 22.06/3.76 skc30 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1)
% 22.06/3.76 | (ssPv14_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X11 @ X10 @ X9 @ X8 @
% 22.06/3.76 skc30 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1))),
% 22.06/3.76 inference('sup-', [status(thm)], [zip_derived_cl2371, zip_derived_cl858])).
% 22.06/3.76 thf(clause198, conjecture,
% 22.06/3.76 (~( ( ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) |
% 22.06/3.76 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 22.06/3.76 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 22.06/3.76 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 22.06/3.76 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 22.06/3.76 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 22.06/3.76 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 22.06/3.76 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 22.06/3.76 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 22.06/3.76 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 22.06/3.76 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 22.06/3.76 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 22.06/3.76 ( ~( ssPv18_11r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) ))).
% 22.06/3.76 thf(zf_stmt_106, negated_conjecture,
% 22.06/3.76 (( ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) |
% 22.06/3.76 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 22.06/3.76 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 22.06/3.76 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 22.06/3.76 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 22.06/3.76 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 22.06/3.76 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 22.06/3.76 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 22.06/3.76 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 22.06/3.76 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 22.06/3.76 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 22.06/3.76 ( ~( ssPv18_11r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) )),
% 22.06/3.76 inference('cnf.neg', [status(esa)], [clause198])).
% 22.06/3.76 thf(zip_derived_cl346, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.76 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 22.06/3.76 ( (ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.76 X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 22.06/3.76 | ~ (ssNder1_0)
% 22.06/3.76 | ~ (ssNder1_1r1 @ X0)
% 22.06/3.76 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 22.06/3.76 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 22.06/3.76 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 22.06/3.76 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 22.06/3.76 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 22.06/3.76 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 22.06/3.76 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.76 X7)
% 22.06/3.76 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.76 X6 @ X7 @ X8)
% 22.06/3.76 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.76 X6 @ X7 @ X8 @ X9)
% 22.06/3.76 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.76 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 22.06/3.76 | ~ (ssPv18_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.76 X6 @ X7 @ X8 @ X9 @ X10))),
% 22.06/3.76 inference('cnf', [status(esa)], [zf_stmt_106])).
% 22.06/3.76 thf(zip_derived_cl543, plain, ( (ssNder1_0)),
% 22.06/3.76 inference('cnf', [status(esa)], [zf_stmt_1])).
% 22.06/3.76 thf(zip_derived_cl549, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 22.06/3.76 inference('demod', [status(thm)], [zip_derived_cl542, zip_derived_cl543])).
% 22.06/3.76 thf(zip_derived_cl550, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl541, zip_derived_cl543, zip_derived_cl549])).
% 22.06/3.76 thf(zip_derived_cl556, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl535, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550])).
% 22.06/3.76 thf(zip_derived_cl574, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 22.06/3.76 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl526, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556])).
% 22.06/3.76 thf(zip_derived_cl595, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 22.06/3.76 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl512, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574])).
% 22.06/3.76 thf(zip_derived_cl619, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 22.06/3.76 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl497, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.76 zip_derived_cl595])).
% 22.06/3.76 thf(zip_derived_cl646, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 22.06/3.76 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl480, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.76 zip_derived_cl595, zip_derived_cl619])).
% 22.06/3.76 thf(zip_derived_cl677, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 22.06/3.76 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl461, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.76 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646])).
% 22.06/3.76 thf(zip_derived_cl711, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.76 X7 : $i, X8 : $i]:
% 22.06/3.76 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.76 X7 @ X8)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl439, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.76 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.76 zip_derived_cl677])).
% 22.06/3.76 thf(zip_derived_cl763, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.76 X7 : $i, X8 : $i, X9 : $i]:
% 22.06/3.76 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.76 X7 @ X8 @ X9)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl413, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.76 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.76 zip_derived_cl677, zip_derived_cl711])).
% 22.06/3.76 thf(zip_derived_cl807, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.76 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 22.06/3.76 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.76 X6 @ X7 @ X8 @ X9 @ X10)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl390, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.76 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.76 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763])).
% 22.06/3.76 thf(zip_derived_cl900, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.76 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 22.06/3.76 ( (ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.76 X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 22.06/3.76 | ~ (ssPv18_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.76 X6 @ X7 @ X8 @ X9 @ X10))),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl346, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.76 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.76 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763,
% 22.06/3.76 zip_derived_cl807])).
% 22.06/3.76 thf(clause224, conjecture,
% 22.06/3.76 (~( ( ssPv10_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) |
% 22.06/3.76 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 22.06/3.76 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 22.06/3.76 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 22.06/3.76 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 22.06/3.76 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 22.06/3.76 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 22.06/3.76 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 22.06/3.76 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 22.06/3.76 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 22.06/3.76 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 22.06/3.76 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 22.06/3.76 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 22.06/3.76 ( ~( ssPv10_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) ))).
% 22.06/3.76 thf(zf_stmt_107, negated_conjecture,
% 22.06/3.76 (( ssPv10_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) |
% 22.06/3.76 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 22.06/3.76 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 22.06/3.76 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 22.06/3.76 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 22.06/3.76 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 22.06/3.76 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 22.06/3.76 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 22.06/3.76 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 22.06/3.76 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 22.06/3.76 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 22.06/3.76 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 22.06/3.76 ( ~( ssPv10_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) )),
% 22.06/3.76 inference('cnf.neg', [status(esa)], [clause224])).
% 22.06/3.76 thf(zip_derived_cl320, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.76 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 22.06/3.76 ( (ssPv10_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.76 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 22.06/3.76 | ~ (ssNder1_0)
% 22.06/3.76 | ~ (ssNder1_1r1 @ X0)
% 22.06/3.76 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 22.06/3.76 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 22.06/3.76 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 22.06/3.76 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 22.06/3.76 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 22.06/3.76 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 22.06/3.76 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.76 X7)
% 22.06/3.76 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.76 X6 @ X7 @ X8)
% 22.06/3.76 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.76 X6 @ X7 @ X8 @ X9)
% 22.06/3.76 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.76 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 22.06/3.76 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.76 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 22.06/3.76 | ~ (ssPv10_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.76 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11))),
% 22.06/3.76 inference('cnf', [status(esa)], [zf_stmt_107])).
% 22.06/3.76 thf(zip_derived_cl543, plain, ( (ssNder1_0)),
% 22.06/3.76 inference('cnf', [status(esa)], [zf_stmt_1])).
% 22.06/3.76 thf(zip_derived_cl549, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 22.06/3.76 inference('demod', [status(thm)], [zip_derived_cl542, zip_derived_cl543])).
% 22.06/3.76 thf(zip_derived_cl550, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl541, zip_derived_cl543, zip_derived_cl549])).
% 22.06/3.76 thf(zip_derived_cl556, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl535, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550])).
% 22.06/3.76 thf(zip_derived_cl574, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 22.06/3.76 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl526, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556])).
% 22.06/3.76 thf(zip_derived_cl595, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 22.06/3.76 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl512, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574])).
% 22.06/3.76 thf(zip_derived_cl619, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 22.06/3.76 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl497, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.76 zip_derived_cl595])).
% 22.06/3.76 thf(zip_derived_cl646, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 22.06/3.76 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl480, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.76 zip_derived_cl595, zip_derived_cl619])).
% 22.06/3.76 thf(zip_derived_cl677, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 22.06/3.76 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl461, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.76 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646])).
% 22.06/3.76 thf(zip_derived_cl711, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.76 X7 : $i, X8 : $i]:
% 22.06/3.76 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.76 X7 @ X8)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl439, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.76 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.76 zip_derived_cl677])).
% 22.06/3.76 thf(zip_derived_cl763, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.76 X7 : $i, X8 : $i, X9 : $i]:
% 22.06/3.76 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.76 X7 @ X8 @ X9)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl413, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.76 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.76 zip_derived_cl677, zip_derived_cl711])).
% 22.06/3.76 thf(zip_derived_cl807, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.76 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 22.06/3.76 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.76 X6 @ X7 @ X8 @ X9 @ X10)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl390, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.76 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.76 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763])).
% 22.06/3.76 thf(zip_derived_cl857, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.76 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 22.06/3.76 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.76 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl363, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.76 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.76 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763,
% 22.06/3.76 zip_derived_cl807])).
% 22.06/3.76 thf(zip_derived_cl954, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.76 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 22.06/3.76 ( (ssPv10_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.76 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 22.06/3.76 | ~ (ssPv10_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.76 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11))),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl320, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.76 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.76 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763,
% 22.06/3.76 zip_derived_cl807, zip_derived_cl857])).
% 22.06/3.76 thf(clause240, conjecture,
% 22.06/3.76 (~( ( ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) |
% 22.06/3.76 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 22.06/3.76 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 22.06/3.76 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 22.06/3.76 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 22.06/3.76 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 22.06/3.76 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 22.06/3.76 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 22.06/3.76 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 22.06/3.76 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 22.06/3.76 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 22.06/3.76 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 22.06/3.76 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 22.06/3.76 ( ~( ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) ))).
% 22.06/3.76 thf(zf_stmt_108, negated_conjecture,
% 22.06/3.76 (( ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) |
% 22.06/3.76 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 22.06/3.76 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 22.06/3.76 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 22.06/3.76 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 22.06/3.76 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 22.06/3.76 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 22.06/3.76 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 22.06/3.76 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 22.06/3.76 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 22.06/3.76 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 22.06/3.76 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 22.06/3.76 ( ~( ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) )),
% 22.06/3.76 inference('cnf.neg', [status(esa)], [clause240])).
% 22.06/3.76 thf(zip_derived_cl304, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.76 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 22.06/3.76 ( (ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.76 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 22.06/3.76 | ~ (ssNder1_0)
% 22.06/3.76 | ~ (ssNder1_1r1 @ X0)
% 22.06/3.76 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 22.06/3.76 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 22.06/3.76 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 22.06/3.76 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 22.06/3.76 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 22.06/3.76 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 22.06/3.76 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.76 X7)
% 22.06/3.76 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.76 X6 @ X7 @ X8)
% 22.06/3.76 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.76 X6 @ X7 @ X8 @ X9)
% 22.06/3.76 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.76 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 22.06/3.76 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.76 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 22.06/3.76 | ~ (ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.76 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11))),
% 22.06/3.76 inference('cnf', [status(esa)], [zf_stmt_108])).
% 22.06/3.76 thf(zip_derived_cl543, plain, ( (ssNder1_0)),
% 22.06/3.76 inference('cnf', [status(esa)], [zf_stmt_1])).
% 22.06/3.76 thf(zip_derived_cl549, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 22.06/3.76 inference('demod', [status(thm)], [zip_derived_cl542, zip_derived_cl543])).
% 22.06/3.76 thf(zip_derived_cl550, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl541, zip_derived_cl543, zip_derived_cl549])).
% 22.06/3.76 thf(zip_derived_cl556, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl535, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550])).
% 22.06/3.76 thf(zip_derived_cl574, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 22.06/3.76 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl526, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556])).
% 22.06/3.76 thf(zip_derived_cl595, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 22.06/3.76 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl512, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574])).
% 22.06/3.76 thf(zip_derived_cl619, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 22.06/3.76 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl497, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.76 zip_derived_cl595])).
% 22.06/3.76 thf(zip_derived_cl646, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 22.06/3.76 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl480, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.76 zip_derived_cl595, zip_derived_cl619])).
% 22.06/3.76 thf(zip_derived_cl677, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 22.06/3.76 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl461, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.76 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646])).
% 22.06/3.76 thf(zip_derived_cl711, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.76 X7 : $i, X8 : $i]:
% 22.06/3.76 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.76 X7 @ X8)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl439, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.76 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.76 zip_derived_cl677])).
% 22.06/3.76 thf(zip_derived_cl763, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.76 X7 : $i, X8 : $i, X9 : $i]:
% 22.06/3.76 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.76 X7 @ X8 @ X9)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl413, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.76 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.76 zip_derived_cl677, zip_derived_cl711])).
% 22.06/3.76 thf(zip_derived_cl807, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.76 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 22.06/3.76 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.76 X6 @ X7 @ X8 @ X9 @ X10)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl390, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.76 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.76 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763])).
% 22.06/3.76 thf(zip_derived_cl857, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.76 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 22.06/3.76 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.76 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl363, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.76 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.76 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763,
% 22.06/3.76 zip_derived_cl807])).
% 22.06/3.76 thf(zip_derived_cl945, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.76 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 22.06/3.76 ( (ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.76 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 22.06/3.76 | ~ (ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.76 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11))),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl304, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.76 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.76 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763,
% 22.06/3.76 zip_derived_cl807, zip_derived_cl857])).
% 22.06/3.76 thf(clause268, conjecture,
% 22.06/3.76 (~( ( ssPv10_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) |
% 22.06/3.76 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 22.06/3.76 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 22.06/3.76 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 22.06/3.76 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 22.06/3.76 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 22.06/3.76 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 22.06/3.76 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 22.06/3.76 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 22.06/3.76 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 22.06/3.76 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 22.06/3.76 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 22.06/3.76 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 22.06/3.76 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 22.06/3.76 ( ~( ssPv10_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) ))).
% 22.06/3.76 thf(zf_stmt_109, negated_conjecture,
% 22.06/3.76 (( ssPv10_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) |
% 22.06/3.76 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 22.06/3.76 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 22.06/3.76 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 22.06/3.76 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 22.06/3.76 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 22.06/3.76 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 22.06/3.76 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 22.06/3.76 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 22.06/3.76 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 22.06/3.76 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 22.06/3.76 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 22.06/3.76 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 22.06/3.76 ( ~( ssPv10_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) )),
% 22.06/3.76 inference('cnf.neg', [status(esa)], [clause268])).
% 22.06/3.76 thf(zip_derived_cl276, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.76 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 22.06/3.76 ( (ssPv10_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.76 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 22.06/3.76 | ~ (ssNder1_0)
% 22.06/3.76 | ~ (ssNder1_1r1 @ X0)
% 22.06/3.76 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 22.06/3.76 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 22.06/3.76 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 22.06/3.76 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 22.06/3.76 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 22.06/3.76 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 22.06/3.76 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.76 X7)
% 22.06/3.76 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.76 X6 @ X7 @ X8)
% 22.06/3.76 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.76 X6 @ X7 @ X8 @ X9)
% 22.06/3.76 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.76 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 22.06/3.76 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.76 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 22.06/3.76 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.76 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 22.06/3.76 | ~ (ssPv10_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.76 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12))),
% 22.06/3.76 inference('cnf', [status(esa)], [zf_stmt_109])).
% 22.06/3.76 thf(zip_derived_cl543, plain, ( (ssNder1_0)),
% 22.06/3.76 inference('cnf', [status(esa)], [zf_stmt_1])).
% 22.06/3.76 thf(zip_derived_cl549, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 22.06/3.76 inference('demod', [status(thm)], [zip_derived_cl542, zip_derived_cl543])).
% 22.06/3.76 thf(zip_derived_cl550, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl541, zip_derived_cl543, zip_derived_cl549])).
% 22.06/3.76 thf(zip_derived_cl556, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl535, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550])).
% 22.06/3.76 thf(zip_derived_cl574, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 22.06/3.76 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl526, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556])).
% 22.06/3.76 thf(zip_derived_cl595, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 22.06/3.76 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl512, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574])).
% 22.06/3.76 thf(zip_derived_cl619, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 22.06/3.76 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl497, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.76 zip_derived_cl595])).
% 22.06/3.76 thf(zip_derived_cl646, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 22.06/3.76 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl480, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.76 zip_derived_cl595, zip_derived_cl619])).
% 22.06/3.76 thf(zip_derived_cl677, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 22.06/3.76 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl461, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.76 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646])).
% 22.06/3.76 thf(zip_derived_cl711, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.76 X7 : $i, X8 : $i]:
% 22.06/3.76 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.76 X7 @ X8)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl439, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.76 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.76 zip_derived_cl677])).
% 22.06/3.76 thf(zip_derived_cl763, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.76 X7 : $i, X8 : $i, X9 : $i]:
% 22.06/3.76 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.76 X7 @ X8 @ X9)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl413, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.76 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.76 zip_derived_cl677, zip_derived_cl711])).
% 22.06/3.76 thf(zip_derived_cl807, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.76 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 22.06/3.76 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.76 X6 @ X7 @ X8 @ X9 @ X10)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl390, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.76 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.76 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763])).
% 22.06/3.76 thf(zip_derived_cl857, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.76 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 22.06/3.76 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.76 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl363, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.76 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.76 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763,
% 22.06/3.76 zip_derived_cl807])).
% 22.06/3.76 thf(zip_derived_cl911, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.76 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 22.06/3.76 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.76 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl334, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.76 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.76 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763,
% 22.06/3.76 zip_derived_cl807, zip_derived_cl857])).
% 22.06/3.76 thf(zip_derived_cl1017, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.76 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 22.06/3.76 ( (ssPv10_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.76 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 22.06/3.76 | ~ (ssPv10_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.76 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12))),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl276, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.76 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.76 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763,
% 22.06/3.76 zip_derived_cl807, zip_derived_cl857, zip_derived_cl911])).
% 22.06/3.76 thf(clause211, conjecture,
% 22.06/3.76 (~( ( ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ skc20 ) |
% 22.06/3.76 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 22.06/3.76 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 22.06/3.76 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 22.06/3.76 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 22.06/3.76 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 22.06/3.76 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 22.06/3.76 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 22.06/3.76 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 22.06/3.76 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 22.06/3.76 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 22.06/3.76 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 22.06/3.76 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) ))).
% 22.06/3.76 thf(zf_stmt_110, negated_conjecture,
% 22.06/3.76 (( ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ skc20 ) |
% 22.06/3.76 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 22.06/3.76 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 22.06/3.76 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 22.06/3.76 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 22.06/3.76 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 22.06/3.76 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 22.06/3.76 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 22.06/3.76 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 22.06/3.76 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 22.06/3.76 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 22.06/3.76 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.76 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) )),
% 22.06/3.76 inference('cnf.neg', [status(esa)], [clause211])).
% 22.06/3.76 thf(zip_derived_cl333, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.76 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 22.06/3.76 ( (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.76 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ skc20)
% 22.06/3.76 | ~ (ssNder1_0)
% 22.06/3.76 | ~ (ssNder1_1r1 @ X0)
% 22.06/3.76 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 22.06/3.76 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 22.06/3.76 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 22.06/3.76 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 22.06/3.76 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 22.06/3.76 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 22.06/3.76 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.76 X7)
% 22.06/3.76 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.76 X6 @ X7 @ X8)
% 22.06/3.76 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.76 X6 @ X7 @ X8 @ X9)
% 22.06/3.76 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.76 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 22.06/3.76 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.76 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11))),
% 22.06/3.76 inference('cnf', [status(esa)], [zf_stmt_110])).
% 22.06/3.76 thf(zip_derived_cl543, plain, ( (ssNder1_0)),
% 22.06/3.76 inference('cnf', [status(esa)], [zf_stmt_1])).
% 22.06/3.76 thf(zip_derived_cl549, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 22.06/3.76 inference('demod', [status(thm)], [zip_derived_cl542, zip_derived_cl543])).
% 22.06/3.76 thf(zip_derived_cl550, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl541, zip_derived_cl543, zip_derived_cl549])).
% 22.06/3.76 thf(zip_derived_cl556, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl535, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550])).
% 22.06/3.76 thf(zip_derived_cl574, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 22.06/3.76 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl526, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556])).
% 22.06/3.76 thf(zip_derived_cl595, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 22.06/3.76 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl512, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574])).
% 22.06/3.76 thf(zip_derived_cl619, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 22.06/3.76 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl497, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.76 zip_derived_cl595])).
% 22.06/3.76 thf(zip_derived_cl646, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 22.06/3.76 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl480, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.76 zip_derived_cl595, zip_derived_cl619])).
% 22.06/3.76 thf(zip_derived_cl677, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 22.06/3.76 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl461, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.76 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646])).
% 22.06/3.76 thf(zip_derived_cl711, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.76 X7 : $i, X8 : $i]:
% 22.06/3.76 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.76 X7 @ X8)),
% 22.06/3.76 inference('demod', [status(thm)],
% 22.06/3.76 [zip_derived_cl439, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.76 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.76 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.76 zip_derived_cl677])).
% 22.06/3.76 thf(zip_derived_cl763, plain,
% 22.06/3.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.76 X7 : $i, X8 : $i, X9 : $i]:
% 22.06/3.76 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.77 X7 @ X8 @ X9)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl413, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.77 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.77 zip_derived_cl677, zip_derived_cl711])).
% 22.06/3.77 thf(zip_derived_cl807, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.77 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 22.06/3.77 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.77 X6 @ X7 @ X8 @ X9 @ X10)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl390, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.77 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.77 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763])).
% 22.06/3.77 thf(zip_derived_cl857, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.77 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 22.06/3.77 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.77 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl363, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.77 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.77 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763,
% 22.06/3.77 zip_derived_cl807])).
% 22.06/3.77 thf(zip_derived_cl921, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.77 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 22.06/3.77 (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.77 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ skc20)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl333, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.77 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.77 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763,
% 22.06/3.77 zip_derived_cl807, zip_derived_cl857])).
% 22.06/3.77 thf(clause260, conjecture,
% 22.06/3.77 (~( ( ssPv18_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.77 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) |
% 22.06/3.77 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 22.06/3.77 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 22.06/3.77 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 22.06/3.77 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 22.06/3.77 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 22.06/3.77 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 22.06/3.77 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 22.06/3.77 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 22.06/3.77 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 22.06/3.77 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.77 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 22.06/3.77 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.77 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 22.06/3.77 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.77 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 22.06/3.77 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.77 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 22.06/3.77 ( ~( ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.77 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) ))).
% 22.06/3.77 thf(zf_stmt_111, negated_conjecture,
% 22.06/3.77 (( ssPv18_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.77 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) |
% 22.06/3.77 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 22.06/3.77 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 22.06/3.77 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 22.06/3.77 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 22.06/3.77 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 22.06/3.77 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 22.06/3.77 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 22.06/3.77 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 22.06/3.77 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.77 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 22.06/3.77 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.77 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 22.06/3.77 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.77 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 22.06/3.77 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.77 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 22.06/3.77 ( ~( ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.77 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) )),
% 22.06/3.77 inference('cnf.neg', [status(esa)], [clause260])).
% 22.06/3.77 thf(zip_derived_cl284, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.77 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 22.06/3.77 ( (ssPv18_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.77 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 22.06/3.77 | ~ (ssNder1_0)
% 22.06/3.77 | ~ (ssNder1_1r1 @ X0)
% 22.06/3.77 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 22.06/3.77 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 22.06/3.77 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 22.06/3.77 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 22.06/3.77 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 22.06/3.77 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 22.06/3.77 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.77 X7)
% 22.06/3.77 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.77 X6 @ X7 @ X8)
% 22.06/3.77 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.77 X6 @ X7 @ X8 @ X9)
% 22.06/3.77 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.77 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 22.06/3.77 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.77 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 22.06/3.77 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.77 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 22.06/3.77 | ~ (ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.77 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12))),
% 22.06/3.77 inference('cnf', [status(esa)], [zf_stmt_111])).
% 22.06/3.77 thf(zip_derived_cl543, plain, ( (ssNder1_0)),
% 22.06/3.77 inference('cnf', [status(esa)], [zf_stmt_1])).
% 22.06/3.77 thf(zip_derived_cl549, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 22.06/3.77 inference('demod', [status(thm)], [zip_derived_cl542, zip_derived_cl543])).
% 22.06/3.77 thf(zip_derived_cl550, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl541, zip_derived_cl543, zip_derived_cl549])).
% 22.06/3.77 thf(zip_derived_cl556, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl535, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550])).
% 22.06/3.77 thf(zip_derived_cl574, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 22.06/3.77 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl526, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550, zip_derived_cl556])).
% 22.06/3.77 thf(zip_derived_cl595, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 22.06/3.77 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl512, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574])).
% 22.06/3.77 thf(zip_derived_cl619, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 22.06/3.77 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl497, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.77 zip_derived_cl595])).
% 22.06/3.77 thf(zip_derived_cl646, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 22.06/3.77 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl480, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.77 zip_derived_cl595, zip_derived_cl619])).
% 22.06/3.77 thf(zip_derived_cl677, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 22.06/3.77 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl461, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.77 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646])).
% 22.06/3.77 thf(zip_derived_cl711, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.77 X7 : $i, X8 : $i]:
% 22.06/3.77 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.77 X7 @ X8)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl439, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.77 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.77 zip_derived_cl677])).
% 22.06/3.77 thf(zip_derived_cl763, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.77 X7 : $i, X8 : $i, X9 : $i]:
% 22.06/3.77 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.77 X7 @ X8 @ X9)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl413, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.77 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.77 zip_derived_cl677, zip_derived_cl711])).
% 22.06/3.77 thf(zip_derived_cl807, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.77 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 22.06/3.77 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.77 X6 @ X7 @ X8 @ X9 @ X10)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl390, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.77 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.77 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763])).
% 22.06/3.77 thf(zip_derived_cl857, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.77 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 22.06/3.77 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.77 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl363, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.77 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.77 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763,
% 22.06/3.77 zip_derived_cl807])).
% 22.06/3.77 thf(zip_derived_cl911, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.77 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 22.06/3.77 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.77 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl334, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.77 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.77 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763,
% 22.06/3.77 zip_derived_cl807, zip_derived_cl857])).
% 22.06/3.77 thf(zip_derived_cl1044, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.77 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 22.06/3.77 ( (ssPv18_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.77 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 22.06/3.77 | ~ (ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.77 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12))),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl284, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.77 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.77 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763,
% 22.06/3.77 zip_derived_cl807, zip_derived_cl857, zip_derived_cl911])).
% 22.06/3.77 thf(clause330, conjecture,
% 22.06/3.77 (~( ( ssPv14_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.77 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) |
% 22.06/3.77 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 22.06/3.77 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 22.06/3.77 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 22.06/3.77 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 22.06/3.77 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 22.06/3.77 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 22.06/3.77 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 22.06/3.77 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 22.06/3.77 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 22.06/3.77 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.77 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 22.06/3.77 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.77 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 22.06/3.77 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.77 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 22.06/3.77 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.77 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 22.06/3.77 ( ~( ssPv18_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.77 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 22.06/3.77 ( ~( ssPv10_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.77 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 22.06/3.77 ( ~( ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.77 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) ))).
% 22.06/3.77 thf(zf_stmt_112, negated_conjecture,
% 22.06/3.77 (( ssPv14_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.77 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) |
% 22.06/3.77 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 22.06/3.77 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 22.06/3.77 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 22.06/3.77 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 22.06/3.77 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 22.06/3.77 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 22.06/3.77 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 22.06/3.77 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 22.06/3.77 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.77 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 22.06/3.77 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.77 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 22.06/3.77 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.77 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 22.06/3.77 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.77 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 22.06/3.77 ( ~( ssPv18_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.77 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 22.06/3.77 ( ~( ssPv10_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.77 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 22.06/3.77 ( ~( ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.77 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) )),
% 22.06/3.77 inference('cnf.neg', [status(esa)], [clause330])).
% 22.06/3.77 thf(zip_derived_cl214, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.77 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 22.06/3.77 ( (ssPv14_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.77 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 22.06/3.77 | ~ (ssNder1_0)
% 22.06/3.77 | ~ (ssNder1_1r1 @ X0)
% 22.06/3.77 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 22.06/3.77 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 22.06/3.77 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 22.06/3.77 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 22.06/3.77 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 22.06/3.77 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 22.06/3.77 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.77 X7)
% 22.06/3.77 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.77 X6 @ X7 @ X8)
% 22.06/3.77 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.77 X6 @ X7 @ X8 @ X9)
% 22.06/3.77 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.77 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 22.06/3.77 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.77 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 22.06/3.77 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.77 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 22.06/3.77 | ~ (ssPv18_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 22.06/3.77 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 22.06/3.77 | ~ (ssPv10_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 22.06/3.77 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 22.06/3.77 | ~ (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.77 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13))),
% 22.06/3.77 inference('cnf', [status(esa)], [zf_stmt_112])).
% 22.06/3.77 thf(zip_derived_cl543, plain, ( (ssNder1_0)),
% 22.06/3.77 inference('cnf', [status(esa)], [zf_stmt_1])).
% 22.06/3.77 thf(zip_derived_cl549, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 22.06/3.77 inference('demod', [status(thm)], [zip_derived_cl542, zip_derived_cl543])).
% 22.06/3.77 thf(zip_derived_cl550, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl541, zip_derived_cl543, zip_derived_cl549])).
% 22.06/3.77 thf(zip_derived_cl556, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl535, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550])).
% 22.06/3.77 thf(zip_derived_cl574, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 22.06/3.77 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl526, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550, zip_derived_cl556])).
% 22.06/3.77 thf(zip_derived_cl595, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 22.06/3.77 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl512, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574])).
% 22.06/3.77 thf(zip_derived_cl619, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 22.06/3.77 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl497, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.77 zip_derived_cl595])).
% 22.06/3.77 thf(zip_derived_cl646, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 22.06/3.77 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl480, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.77 zip_derived_cl595, zip_derived_cl619])).
% 22.06/3.77 thf(zip_derived_cl677, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 22.06/3.77 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl461, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.77 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646])).
% 22.06/3.77 thf(zip_derived_cl711, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.77 X7 : $i, X8 : $i]:
% 22.06/3.77 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.77 X7 @ X8)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl439, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.77 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.77 zip_derived_cl677])).
% 22.06/3.77 thf(zip_derived_cl763, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.77 X7 : $i, X8 : $i, X9 : $i]:
% 22.06/3.77 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.77 X7 @ X8 @ X9)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl413, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.77 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.77 zip_derived_cl677, zip_derived_cl711])).
% 22.06/3.77 thf(zip_derived_cl807, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.77 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 22.06/3.77 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.77 X6 @ X7 @ X8 @ X9 @ X10)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl390, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.77 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.77 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763])).
% 22.06/3.77 thf(zip_derived_cl857, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.77 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 22.06/3.77 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.77 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl363, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.77 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.77 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763,
% 22.06/3.77 zip_derived_cl807])).
% 22.06/3.77 thf(zip_derived_cl911, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.77 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 22.06/3.77 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.77 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl334, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.77 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.77 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763,
% 22.06/3.77 zip_derived_cl807, zip_derived_cl857])).
% 22.06/3.77 thf(zip_derived_cl1179, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.77 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 22.06/3.77 ( (ssPv14_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.77 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 22.06/3.77 | ~ (ssPv18_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 22.06/3.77 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 22.06/3.77 | ~ (ssPv10_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 22.06/3.77 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 22.06/3.77 | ~ (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.77 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13))),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl214, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.77 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.77 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763,
% 22.06/3.77 zip_derived_cl807, zip_derived_cl857, zip_derived_cl911])).
% 22.06/3.77 thf(zip_derived_cl1180, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.77 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 22.06/3.77 (~ (ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X13 @ X12 @ X11 @ X10 @
% 22.06/3.77 X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1)
% 22.06/3.77 | ~ (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X13 @ X12 @ X11 @ X10 @
% 22.06/3.77 X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 22.06/3.77 | ~ (ssPv10_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X13 @ X12 @ X11 @ X10 @
% 22.06/3.77 X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 22.06/3.77 | (ssPv14_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X13 @ X12 @ X11 @ X10 @
% 22.06/3.77 X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0))),
% 22.06/3.77 inference('sup-', [status(thm)], [zip_derived_cl1044, zip_derived_cl1179])).
% 22.06/3.77 thf(zip_derived_cl1181, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.77 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 22.06/3.77 ( (ssPv14_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X12 @ X11 @ X10 @ X9 @
% 22.06/3.77 X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ skc20)
% 22.06/3.77 | ~ (ssPv10_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X12 @ X11 @ X10 @ X9 @
% 22.06/3.77 X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ skc20)
% 22.06/3.77 | ~ (ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X12 @ X11 @ X10 @ X9 @
% 22.06/3.77 X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0))),
% 22.06/3.77 inference('sup-', [status(thm)], [zip_derived_cl921, zip_derived_cl1180])).
% 22.06/3.77 thf(zip_derived_cl1182, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.77 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 22.06/3.77 (~ (ssPv10_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X12 @ X11 @ X10 @ X9 @ X8 @
% 22.06/3.77 X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 22.06/3.77 | ~ (ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X12 @ X11 @ X10 @ X9 @
% 22.06/3.77 X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 22.06/3.77 | (ssPv14_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X12 @ X11 @ X10 @ X9 @
% 22.06/3.77 X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ skc20))),
% 22.06/3.77 inference('sup-', [status(thm)], [zip_derived_cl1017, zip_derived_cl1181])).
% 22.06/3.77 thf(clause277, conjecture,
% 22.06/3.77 (~( ( ssPv14_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.77 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) |
% 22.06/3.77 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 22.06/3.77 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 22.06/3.77 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 22.06/3.77 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 22.06/3.77 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 22.06/3.77 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 22.06/3.77 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 22.06/3.77 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 22.06/3.77 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 22.06/3.77 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.77 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 22.06/3.77 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.77 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 22.06/3.77 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.77 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 22.06/3.77 ( ~( ssPv14_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.77 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 22.06/3.77 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.77 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) ))).
% 22.06/3.77 thf(zf_stmt_113, negated_conjecture,
% 22.06/3.77 (( ssPv14_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.77 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) |
% 22.06/3.77 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 22.06/3.77 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 22.06/3.77 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 22.06/3.77 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 22.06/3.77 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 22.06/3.77 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 22.06/3.77 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 22.06/3.77 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 22.06/3.77 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.77 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 22.06/3.77 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.77 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 22.06/3.77 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.77 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 22.06/3.77 ( ~( ssPv14_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.77 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 22.06/3.77 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.77 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) )),
% 22.06/3.77 inference('cnf.neg', [status(esa)], [clause277])).
% 22.06/3.77 thf(zip_derived_cl267, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.77 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 22.06/3.77 ( (ssPv14_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.77 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 22.06/3.77 | ~ (ssNder1_0)
% 22.06/3.77 | ~ (ssNder1_1r1 @ X0)
% 22.06/3.77 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 22.06/3.77 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 22.06/3.77 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 22.06/3.77 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 22.06/3.77 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 22.06/3.77 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 22.06/3.77 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.77 X7)
% 22.06/3.77 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.77 X6 @ X7 @ X8)
% 22.06/3.77 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.77 X6 @ X7 @ X8 @ X9)
% 22.06/3.77 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.77 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 22.06/3.77 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.77 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 22.06/3.77 | ~ (ssPv14_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 22.06/3.77 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 22.06/3.77 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.77 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12))),
% 22.06/3.77 inference('cnf', [status(esa)], [zf_stmt_113])).
% 22.06/3.77 thf(zip_derived_cl543, plain, ( (ssNder1_0)),
% 22.06/3.77 inference('cnf', [status(esa)], [zf_stmt_1])).
% 22.06/3.77 thf(zip_derived_cl549, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 22.06/3.77 inference('demod', [status(thm)], [zip_derived_cl542, zip_derived_cl543])).
% 22.06/3.77 thf(zip_derived_cl550, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl541, zip_derived_cl543, zip_derived_cl549])).
% 22.06/3.77 thf(zip_derived_cl556, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl535, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550])).
% 22.06/3.77 thf(zip_derived_cl574, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 22.06/3.77 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl526, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550, zip_derived_cl556])).
% 22.06/3.77 thf(zip_derived_cl595, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 22.06/3.77 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl512, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574])).
% 22.06/3.77 thf(zip_derived_cl619, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 22.06/3.77 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl497, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.77 zip_derived_cl595])).
% 22.06/3.77 thf(zip_derived_cl646, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 22.06/3.77 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl480, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.77 zip_derived_cl595, zip_derived_cl619])).
% 22.06/3.77 thf(zip_derived_cl677, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 22.06/3.77 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl461, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.77 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646])).
% 22.06/3.77 thf(zip_derived_cl711, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.77 X7 : $i, X8 : $i]:
% 22.06/3.77 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.77 X7 @ X8)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl439, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.77 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.77 zip_derived_cl677])).
% 22.06/3.77 thf(zip_derived_cl763, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.77 X7 : $i, X8 : $i, X9 : $i]:
% 22.06/3.77 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.77 X7 @ X8 @ X9)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl413, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.77 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.77 zip_derived_cl677, zip_derived_cl711])).
% 22.06/3.77 thf(zip_derived_cl807, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.77 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 22.06/3.77 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.77 X6 @ X7 @ X8 @ X9 @ X10)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl390, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.77 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.77 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763])).
% 22.06/3.77 thf(zip_derived_cl857, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.77 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 22.06/3.77 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.77 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl363, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.77 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.77 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763,
% 22.06/3.77 zip_derived_cl807])).
% 22.06/3.77 thf(zip_derived_cl911, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.77 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 22.06/3.77 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.77 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl334, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.77 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.77 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763,
% 22.06/3.77 zip_derived_cl807, zip_derived_cl857])).
% 22.06/3.77 thf(zip_derived_cl1005, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.77 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 22.06/3.77 ( (ssPv14_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.77 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 22.06/3.77 | ~ (ssPv14_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 22.06/3.77 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13))),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl267, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.77 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.77 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763,
% 22.06/3.77 zip_derived_cl807, zip_derived_cl857, zip_derived_cl911])).
% 22.06/3.77 thf(zip_derived_cl1185, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.77 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 22.06/3.77 (~ (ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X12 @ X11 @ X10 @ X9 @ X8 @
% 22.06/3.77 X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 22.06/3.77 | ~ (ssPv10_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X12 @ X11 @ X10 @ X9 @
% 22.06/3.77 X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 22.06/3.77 | (ssPv14_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X12 @ X11 @ X10 @ X9 @
% 22.06/3.77 X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0))),
% 22.06/3.77 inference('sup-', [status(thm)], [zip_derived_cl1182, zip_derived_cl1005])).
% 22.06/3.77 thf(zip_derived_cl1186, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.77 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 22.06/3.77 (~ (ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X12 @ X11 @ X10 @ X9 @ X8 @
% 22.06/3.77 X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1)
% 22.06/3.77 | (ssPv14_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X12 @ X11 @ X10 @ X9 @
% 22.06/3.77 X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 22.06/3.77 | ~ (ssPv10_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X12 @ X11 @ X10 @ X9 @
% 22.06/3.77 X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0))),
% 22.06/3.77 inference('sup-', [status(thm)], [zip_derived_cl945, zip_derived_cl1185])).
% 22.06/3.77 thf(zip_derived_cl1187, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.77 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 22.06/3.77 (~ (ssPv10_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X12 @ X11 @ X10 @ X9 @ X8 @
% 22.06/3.77 X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1)
% 22.06/3.77 | (ssPv14_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X12 @ X11 @ X10 @ X9 @
% 22.06/3.77 X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 22.06/3.77 | ~ (ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X12 @ X11 @ X10 @ X9 @ X8 @
% 22.06/3.77 X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1))),
% 22.06/3.77 inference('sup-', [status(thm)], [zip_derived_cl954, zip_derived_cl1186])).
% 22.06/3.77 thf(clause232, conjecture,
% 22.06/3.77 (~( ( ssPv14_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.77 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) |
% 22.06/3.77 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 22.06/3.77 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 22.06/3.77 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 22.06/3.77 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 22.06/3.77 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 22.06/3.77 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 22.06/3.77 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 22.06/3.77 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 22.06/3.77 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 22.06/3.77 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.77 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 22.06/3.77 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.77 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 22.06/3.77 ( ~( ssPv14_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.77 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 22.06/3.77 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.77 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) ))).
% 22.06/3.77 thf(zf_stmt_114, negated_conjecture,
% 22.06/3.77 (( ssPv14_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.77 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) |
% 22.06/3.77 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 22.06/3.77 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 22.06/3.77 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 22.06/3.77 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 22.06/3.77 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 22.06/3.77 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 22.06/3.77 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 22.06/3.77 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 22.06/3.77 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.77 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 22.06/3.77 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.77 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 22.06/3.77 ( ~( ssPv14_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.77 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 22.06/3.77 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.77 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) )),
% 22.06/3.77 inference('cnf.neg', [status(esa)], [clause232])).
% 22.06/3.77 thf(zip_derived_cl312, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.77 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 22.06/3.77 ( (ssPv14_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.77 X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 22.06/3.77 | ~ (ssNder1_0)
% 22.06/3.77 | ~ (ssNder1_1r1 @ X0)
% 22.06/3.77 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 22.06/3.77 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 22.06/3.77 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 22.06/3.77 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 22.06/3.77 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 22.06/3.77 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 22.06/3.77 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.77 X7)
% 22.06/3.77 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.77 X6 @ X7 @ X8)
% 22.06/3.77 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.77 X6 @ X7 @ X8 @ X9)
% 22.06/3.77 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.77 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 22.06/3.77 | ~ (ssPv14_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.77 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 22.06/3.77 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.77 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11))),
% 22.06/3.77 inference('cnf', [status(esa)], [zf_stmt_114])).
% 22.06/3.77 thf(zip_derived_cl543, plain, ( (ssNder1_0)),
% 22.06/3.77 inference('cnf', [status(esa)], [zf_stmt_1])).
% 22.06/3.77 thf(zip_derived_cl549, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 22.06/3.77 inference('demod', [status(thm)], [zip_derived_cl542, zip_derived_cl543])).
% 22.06/3.77 thf(zip_derived_cl550, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl541, zip_derived_cl543, zip_derived_cl549])).
% 22.06/3.77 thf(zip_derived_cl556, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl535, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550])).
% 22.06/3.77 thf(zip_derived_cl574, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 22.06/3.77 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl526, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550, zip_derived_cl556])).
% 22.06/3.77 thf(zip_derived_cl595, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 22.06/3.77 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl512, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574])).
% 22.06/3.77 thf(zip_derived_cl619, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 22.06/3.77 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl497, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.77 zip_derived_cl595])).
% 22.06/3.77 thf(zip_derived_cl646, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 22.06/3.77 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl480, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.77 zip_derived_cl595, zip_derived_cl619])).
% 22.06/3.77 thf(zip_derived_cl677, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 22.06/3.77 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl461, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.77 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646])).
% 22.06/3.77 thf(zip_derived_cl711, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.77 X7 : $i, X8 : $i]:
% 22.06/3.77 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.77 X7 @ X8)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl439, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.77 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.77 zip_derived_cl677])).
% 22.06/3.77 thf(zip_derived_cl763, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.77 X7 : $i, X8 : $i, X9 : $i]:
% 22.06/3.77 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.77 X7 @ X8 @ X9)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl413, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.77 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.77 zip_derived_cl677, zip_derived_cl711])).
% 22.06/3.77 thf(zip_derived_cl807, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.77 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 22.06/3.77 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.77 X6 @ X7 @ X8 @ X9 @ X10)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl390, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.77 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.77 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763])).
% 22.06/3.77 thf(zip_derived_cl857, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.77 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 22.06/3.77 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.77 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl363, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.77 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.77 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763,
% 22.06/3.77 zip_derived_cl807])).
% 22.06/3.77 thf(zip_derived_cl936, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.77 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 22.06/3.77 ( (ssPv14_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.77 X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 22.06/3.77 | ~ (ssPv14_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.77 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12))),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl312, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.77 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.77 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763,
% 22.06/3.77 zip_derived_cl807, zip_derived_cl857])).
% 22.06/3.77 thf(zip_derived_cl1189, plain,
% 22.06/3.77 (![X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i,
% 22.06/3.77 X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 22.06/3.77 (~ (ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X12 @ X11 @ X10 @ X9 @ X8 @
% 22.06/3.77 X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1)
% 22.06/3.77 | ~ (ssPv10_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X12 @ X11 @ X10 @ X9 @ X8 @
% 22.06/3.77 X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1)
% 22.06/3.77 | (ssPv14_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X12 @ X11 @ X10 @ X9 @ X8 @
% 22.06/3.77 X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1))),
% 22.06/3.77 inference('sup-', [status(thm)], [zip_derived_cl1187, zip_derived_cl936])).
% 22.06/3.77 thf(zip_derived_cl1190, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.77 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 22.06/3.77 (~ (ssPv18_11r1r1r1r1r1r1r1r1r1r1r1 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @
% 22.06/3.77 X5 @ X4 @ X3 @ X2 @ X1)
% 22.06/3.77 | (ssPv14_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X11 @ X10 @ X9 @ X8 @ X7 @
% 22.06/3.77 X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 22.06/3.77 | ~ (ssPv10_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X11 @ X10 @ X9 @ X8 @ X7 @
% 22.06/3.77 X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0))),
% 22.06/3.77 inference('sup-', [status(thm)], [zip_derived_cl900, zip_derived_cl1189])).
% 22.06/3.77 thf(zip_derived_cl2378, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.77 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 22.06/3.77 ( (ssPv14_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X10 @ X9 @ X8 @ X7 @ skc30 @
% 22.06/3.77 X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 22.06/3.77 | (ssPv15_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X10 @ X9 @ X8 @ X7 @ skc30 @
% 22.06/3.77 X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 22.06/3.77 | (ssPv14_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X10 @ X9 @ X8 @ X7 @ skc30 @
% 22.06/3.77 X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 22.06/3.77 | ~ (ssPv18_11r1r1r1r1r1r1r1r1r1r1r1 @ X10 @ X9 @ X8 @ X7 @ skc30 @
% 22.06/3.77 X6 @ X5 @ X4 @ X3 @ X2 @ X1))),
% 22.06/3.77 inference('sup-', [status(thm)], [zip_derived_cl2375, zip_derived_cl1190])).
% 22.06/3.77 thf(zip_derived_cl2379, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.77 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 22.06/3.77 (~ (ssPv18_11r1r1r1r1r1r1r1r1r1r1r1 @ X10 @ X9 @ X8 @ X7 @ skc30 @
% 22.06/3.77 X6 @ X5 @ X4 @ X3 @ X2 @ X1)
% 22.06/3.77 | (ssPv15_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X10 @ X9 @ X8 @ X7 @ skc30 @
% 22.06/3.77 X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 22.06/3.77 | (ssPv14_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X10 @ X9 @ X8 @ X7 @ skc30 @
% 22.06/3.77 X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0))),
% 22.06/3.77 inference('simplify', [status(thm)], [zip_derived_cl2378])).
% 22.06/3.77 thf(clause191, conjecture,
% 22.06/3.77 (~( ( ssPv14_11r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.77 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) |
% 22.06/3.77 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 22.06/3.77 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 22.06/3.77 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 22.06/3.77 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 22.06/3.77 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 22.06/3.77 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 22.06/3.77 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 22.06/3.77 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 22.06/3.77 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 22.06/3.77 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.77 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 22.06/3.77 ( ~( ssPv14_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.77 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 22.06/3.77 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.77 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) ))).
% 22.06/3.77 thf(zf_stmt_115, negated_conjecture,
% 22.06/3.77 (( ssPv14_11r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.77 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) |
% 22.06/3.77 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 22.06/3.77 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 22.06/3.77 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 22.06/3.77 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 22.06/3.77 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 22.06/3.77 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 22.06/3.77 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 22.06/3.77 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 22.06/3.77 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.77 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 22.06/3.77 ( ~( ssPv14_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.77 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 22.06/3.77 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.77 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) )),
% 22.06/3.77 inference('cnf.neg', [status(esa)], [clause191])).
% 22.06/3.77 thf(zip_derived_cl353, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.77 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 22.06/3.77 ( (ssPv14_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.77 X6 @ X7 @ X8 @ X9 @ X10)
% 22.06/3.77 | ~ (ssNder1_0)
% 22.06/3.77 | ~ (ssNder1_1r1 @ X0)
% 22.06/3.77 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 22.06/3.77 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 22.06/3.77 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 22.06/3.77 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 22.06/3.77 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 22.06/3.77 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 22.06/3.77 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.77 X7)
% 22.06/3.77 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.77 X6 @ X7 @ X8)
% 22.06/3.77 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.77 X6 @ X7 @ X8 @ X9)
% 22.06/3.77 | ~ (ssPv14_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.77 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 22.06/3.77 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.77 X5 @ X6 @ X7 @ X8 @ X9 @ X10))),
% 22.06/3.77 inference('cnf', [status(esa)], [zf_stmt_115])).
% 22.06/3.77 thf(zip_derived_cl543, plain, ( (ssNder1_0)),
% 22.06/3.77 inference('cnf', [status(esa)], [zf_stmt_1])).
% 22.06/3.77 thf(zip_derived_cl549, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 22.06/3.77 inference('demod', [status(thm)], [zip_derived_cl542, zip_derived_cl543])).
% 22.06/3.77 thf(zip_derived_cl550, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl541, zip_derived_cl543, zip_derived_cl549])).
% 22.06/3.77 thf(zip_derived_cl556, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl535, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550])).
% 22.06/3.77 thf(zip_derived_cl574, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 22.06/3.77 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl526, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550, zip_derived_cl556])).
% 22.06/3.77 thf(zip_derived_cl595, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 22.06/3.77 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl512, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574])).
% 22.06/3.77 thf(zip_derived_cl619, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 22.06/3.77 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl497, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.77 zip_derived_cl595])).
% 22.06/3.77 thf(zip_derived_cl646, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 22.06/3.77 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl480, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.77 zip_derived_cl595, zip_derived_cl619])).
% 22.06/3.77 thf(zip_derived_cl677, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 22.06/3.77 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl461, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.77 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646])).
% 22.06/3.77 thf(zip_derived_cl711, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.77 X7 : $i, X8 : $i]:
% 22.06/3.77 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.77 X7 @ X8)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl439, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.77 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.77 zip_derived_cl677])).
% 22.06/3.77 thf(zip_derived_cl763, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.77 X7 : $i, X8 : $i, X9 : $i]:
% 22.06/3.77 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.77 X7 @ X8 @ X9)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl413, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.77 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.77 zip_derived_cl677, zip_derived_cl711])).
% 22.06/3.77 thf(zip_derived_cl807, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.77 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 22.06/3.77 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.77 X6 @ X7 @ X8 @ X9 @ X10)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl390, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.77 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.77 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763])).
% 22.06/3.77 thf(zip_derived_cl880, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.77 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 22.06/3.77 ( (ssPv14_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.77 X6 @ X7 @ X8 @ X9 @ X10)
% 22.06/3.77 | ~ (ssPv14_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.77 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11))),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl353, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.77 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.77 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763,
% 22.06/3.77 zip_derived_cl807])).
% 22.06/3.77 thf(zip_derived_cl2390, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.77 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 22.06/3.77 ( (ssPv15_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X10 @ X9 @ X8 @ X7 @ skc30 @
% 22.06/3.77 X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 22.06/3.77 | ~ (ssPv18_11r1r1r1r1r1r1r1r1r1r1r1 @ X10 @ X9 @ X8 @ X7 @ skc30 @
% 22.06/3.77 X6 @ X5 @ X4 @ X3 @ X2 @ X1)
% 22.06/3.77 | (ssPv14_11r1r1r1r1r1r1r1r1r1r1r1 @ X10 @ X9 @ X8 @ X7 @ skc30 @
% 22.06/3.77 X6 @ X5 @ X4 @ X3 @ X2 @ X1))),
% 22.06/3.77 inference('sup-', [status(thm)], [zip_derived_cl2379, zip_derived_cl880])).
% 22.06/3.77 thf(clause190, conjecture,
% 22.06/3.77 (~( ( ssPv15_11r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.77 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) |
% 22.06/3.77 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 22.06/3.77 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 22.06/3.77 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 22.06/3.77 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 22.06/3.77 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 22.06/3.77 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 22.06/3.77 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 22.06/3.77 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 22.06/3.77 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 22.06/3.77 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.77 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 22.06/3.77 ( ~( ssPv15_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.77 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 22.06/3.77 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.77 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) ))).
% 22.06/3.77 thf(zf_stmt_116, negated_conjecture,
% 22.06/3.77 (( ssPv15_11r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.77 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) |
% 22.06/3.77 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 22.06/3.77 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 22.06/3.77 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 22.06/3.77 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 22.06/3.77 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 22.06/3.77 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 22.06/3.77 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 22.06/3.77 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 22.06/3.77 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.77 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 22.06/3.77 ( ~( ssPv15_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.77 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 22.06/3.77 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.77 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) )),
% 22.06/3.77 inference('cnf.neg', [status(esa)], [clause190])).
% 22.06/3.77 thf(zip_derived_cl354, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.77 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 22.06/3.77 ( (ssPv15_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.77 X6 @ X7 @ X8 @ X9 @ X10)
% 22.06/3.77 | ~ (ssNder1_0)
% 22.06/3.77 | ~ (ssNder1_1r1 @ X0)
% 22.06/3.77 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 22.06/3.77 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 22.06/3.77 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 22.06/3.77 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 22.06/3.77 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 22.06/3.77 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 22.06/3.77 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.77 X7)
% 22.06/3.77 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.77 X6 @ X7 @ X8)
% 22.06/3.77 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.77 X6 @ X7 @ X8 @ X9)
% 22.06/3.77 | ~ (ssPv15_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.77 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 22.06/3.77 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.77 X5 @ X6 @ X7 @ X8 @ X9 @ X10))),
% 22.06/3.77 inference('cnf', [status(esa)], [zf_stmt_116])).
% 22.06/3.77 thf(zip_derived_cl543, plain, ( (ssNder1_0)),
% 22.06/3.77 inference('cnf', [status(esa)], [zf_stmt_1])).
% 22.06/3.77 thf(zip_derived_cl549, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 22.06/3.77 inference('demod', [status(thm)], [zip_derived_cl542, zip_derived_cl543])).
% 22.06/3.77 thf(zip_derived_cl550, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl541, zip_derived_cl543, zip_derived_cl549])).
% 22.06/3.77 thf(zip_derived_cl556, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl535, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550])).
% 22.06/3.77 thf(zip_derived_cl574, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 22.06/3.77 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl526, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550, zip_derived_cl556])).
% 22.06/3.77 thf(zip_derived_cl595, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 22.06/3.77 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl512, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574])).
% 22.06/3.77 thf(zip_derived_cl619, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 22.06/3.77 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl497, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.77 zip_derived_cl595])).
% 22.06/3.77 thf(zip_derived_cl646, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 22.06/3.77 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl480, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.77 zip_derived_cl595, zip_derived_cl619])).
% 22.06/3.77 thf(zip_derived_cl677, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 22.06/3.77 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl461, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.77 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646])).
% 22.06/3.77 thf(zip_derived_cl711, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.77 X7 : $i, X8 : $i]:
% 22.06/3.77 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.77 X7 @ X8)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl439, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.77 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.77 zip_derived_cl677])).
% 22.06/3.77 thf(zip_derived_cl763, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.77 X7 : $i, X8 : $i, X9 : $i]:
% 22.06/3.77 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.77 X7 @ X8 @ X9)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl413, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.77 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.77 zip_derived_cl677, zip_derived_cl711])).
% 22.06/3.77 thf(zip_derived_cl807, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.77 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 22.06/3.77 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.77 X6 @ X7 @ X8 @ X9 @ X10)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl390, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.77 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.77 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763])).
% 22.06/3.77 thf(zip_derived_cl881, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.77 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 22.06/3.77 ( (ssPv15_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.77 X6 @ X7 @ X8 @ X9 @ X10)
% 22.06/3.77 | ~ (ssPv15_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.77 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11))),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl354, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.77 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.77 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763,
% 22.06/3.77 zip_derived_cl807])).
% 22.06/3.77 thf(zip_derived_cl2392, plain,
% 22.06/3.77 (![X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i,
% 22.06/3.77 X8 : $i, X9 : $i, X10 : $i]:
% 22.06/3.77 ( (ssPv14_11r1r1r1r1r1r1r1r1r1r1r1 @ X10 @ X9 @ X8 @ X7 @ skc30 @
% 22.06/3.77 X6 @ X5 @ X4 @ X3 @ X2 @ X1)
% 22.06/3.77 | ~ (ssPv18_11r1r1r1r1r1r1r1r1r1r1r1 @ X10 @ X9 @ X8 @ X7 @ skc30 @
% 22.06/3.77 X6 @ X5 @ X4 @ X3 @ X2 @ X1)
% 22.06/3.77 | (ssPv15_11r1r1r1r1r1r1r1r1r1r1r1 @ X10 @ X9 @ X8 @ X7 @ skc30 @
% 22.06/3.77 X6 @ X5 @ X4 @ X3 @ X2 @ X1))),
% 22.06/3.77 inference('sup-', [status(thm)], [zip_derived_cl2390, zip_derived_cl881])).
% 22.06/3.77 thf(clause174, conjecture,
% 22.06/3.77 (~( ( ssPv14_10r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.77 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) |
% 22.06/3.77 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 22.06/3.77 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 22.06/3.77 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 22.06/3.77 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 22.06/3.77 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 22.06/3.77 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 22.06/3.77 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 22.06/3.77 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 22.06/3.77 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 22.06/3.77 ( ~( ssPv14_11r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.77 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 22.06/3.77 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.77 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) ))).
% 22.06/3.77 thf(zf_stmt_117, negated_conjecture,
% 22.06/3.77 (( ssPv14_10r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.77 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) |
% 22.06/3.77 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 22.06/3.77 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 22.06/3.77 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 22.06/3.77 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 22.06/3.77 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 22.06/3.77 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 22.06/3.77 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 22.06/3.77 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 22.06/3.77 ( ~( ssPv14_11r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.77 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 22.06/3.77 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.77 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) )),
% 22.06/3.77 inference('cnf.neg', [status(esa)], [clause174])).
% 22.06/3.77 thf(zip_derived_cl370, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.77 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 22.06/3.77 ( (ssPv14_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.77 X7 @ X8 @ X9)
% 22.06/3.77 | ~ (ssNder1_0)
% 22.06/3.77 | ~ (ssNder1_1r1 @ X0)
% 22.06/3.77 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 22.06/3.77 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 22.06/3.77 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 22.06/3.77 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 22.06/3.77 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 22.06/3.77 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 22.06/3.77 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.77 X7)
% 22.06/3.77 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.77 X6 @ X7 @ X8)
% 22.06/3.77 | ~ (ssPv14_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.77 X6 @ X7 @ X8 @ X9 @ X10)
% 22.06/3.77 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.77 X6 @ X7 @ X8 @ X9))),
% 22.06/3.77 inference('cnf', [status(esa)], [zf_stmt_117])).
% 22.06/3.77 thf(zip_derived_cl543, plain, ( (ssNder1_0)),
% 22.06/3.77 inference('cnf', [status(esa)], [zf_stmt_1])).
% 22.06/3.77 thf(zip_derived_cl549, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 22.06/3.77 inference('demod', [status(thm)], [zip_derived_cl542, zip_derived_cl543])).
% 22.06/3.77 thf(zip_derived_cl550, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl541, zip_derived_cl543, zip_derived_cl549])).
% 22.06/3.77 thf(zip_derived_cl556, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl535, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550])).
% 22.06/3.77 thf(zip_derived_cl574, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 22.06/3.77 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl526, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550, zip_derived_cl556])).
% 22.06/3.77 thf(zip_derived_cl595, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 22.06/3.77 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl512, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574])).
% 22.06/3.77 thf(zip_derived_cl619, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 22.06/3.77 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl497, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.77 zip_derived_cl595])).
% 22.06/3.77 thf(zip_derived_cl646, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 22.06/3.77 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl480, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.77 zip_derived_cl595, zip_derived_cl619])).
% 22.06/3.77 thf(zip_derived_cl677, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 22.06/3.77 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl461, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.77 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646])).
% 22.06/3.77 thf(zip_derived_cl711, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.77 X7 : $i, X8 : $i]:
% 22.06/3.77 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.77 X7 @ X8)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl439, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.77 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.77 zip_derived_cl677])).
% 22.06/3.77 thf(zip_derived_cl763, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.77 X7 : $i, X8 : $i, X9 : $i]:
% 22.06/3.77 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.77 X7 @ X8 @ X9)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl413, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.77 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.77 zip_derived_cl677, zip_derived_cl711])).
% 22.06/3.77 thf(zip_derived_cl822, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.77 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 22.06/3.77 ( (ssPv14_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.77 X7 @ X8 @ X9)
% 22.06/3.77 | ~ (ssPv14_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.77 X6 @ X7 @ X8 @ X9 @ X10))),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl370, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.77 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.77 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763])).
% 22.06/3.77 thf(zip_derived_cl2404, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.77 X7 : $i, X8 : $i, X9 : $i]:
% 22.06/3.77 ( (ssPv15_11r1r1r1r1r1r1r1r1r1r1r1 @ X9 @ X8 @ X7 @ X6 @ skc30 @ X5 @
% 22.06/3.77 X4 @ X3 @ X2 @ X1 @ X0)
% 22.06/3.77 | ~ (ssPv18_11r1r1r1r1r1r1r1r1r1r1r1 @ X9 @ X8 @ X7 @ X6 @ skc30 @
% 22.06/3.77 X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 22.06/3.77 | (ssPv14_10r1r1r1r1r1r1r1r1r1r1 @ X9 @ X8 @ X7 @ X6 @ skc30 @ X5 @
% 22.06/3.77 X4 @ X3 @ X2 @ X1))),
% 22.06/3.77 inference('sup-', [status(thm)], [zip_derived_cl2392, zip_derived_cl822])).
% 22.06/3.77 thf(clause173, conjecture,
% 22.06/3.77 (~( ( ssPv15_10r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.77 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) |
% 22.06/3.77 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 22.06/3.77 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 22.06/3.77 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 22.06/3.77 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 22.06/3.77 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 22.06/3.77 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 22.06/3.77 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 22.06/3.77 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 22.06/3.77 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 22.06/3.77 ( ~( ssPv15_11r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.77 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 22.06/3.77 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.77 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) ))).
% 22.06/3.77 thf(zf_stmt_118, negated_conjecture,
% 22.06/3.77 (( ssPv15_10r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.77 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) |
% 22.06/3.77 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 22.06/3.77 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 22.06/3.77 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 22.06/3.77 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 22.06/3.77 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 22.06/3.77 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 22.06/3.77 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 22.06/3.77 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 22.06/3.77 ( ~( ssPv15_11r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.77 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 22.06/3.77 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.77 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) )),
% 22.06/3.77 inference('cnf.neg', [status(esa)], [clause173])).
% 22.06/3.77 thf(zip_derived_cl371, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.77 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 22.06/3.77 ( (ssPv15_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.77 X7 @ X8 @ X9)
% 22.06/3.77 | ~ (ssNder1_0)
% 22.06/3.77 | ~ (ssNder1_1r1 @ X0)
% 22.06/3.77 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 22.06/3.77 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 22.06/3.77 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 22.06/3.77 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 22.06/3.77 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 22.06/3.77 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 22.06/3.77 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.77 X7)
% 22.06/3.77 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.77 X6 @ X7 @ X8)
% 22.06/3.77 | ~ (ssPv15_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.77 X6 @ X7 @ X8 @ X9 @ X10)
% 22.06/3.77 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.77 X6 @ X7 @ X8 @ X9))),
% 22.06/3.77 inference('cnf', [status(esa)], [zf_stmt_118])).
% 22.06/3.77 thf(zip_derived_cl543, plain, ( (ssNder1_0)),
% 22.06/3.77 inference('cnf', [status(esa)], [zf_stmt_1])).
% 22.06/3.77 thf(zip_derived_cl549, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 22.06/3.77 inference('demod', [status(thm)], [zip_derived_cl542, zip_derived_cl543])).
% 22.06/3.77 thf(zip_derived_cl550, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl541, zip_derived_cl543, zip_derived_cl549])).
% 22.06/3.77 thf(zip_derived_cl556, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl535, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550])).
% 22.06/3.77 thf(zip_derived_cl574, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 22.06/3.77 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl526, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550, zip_derived_cl556])).
% 22.06/3.77 thf(zip_derived_cl595, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 22.06/3.77 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl512, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574])).
% 22.06/3.77 thf(zip_derived_cl619, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 22.06/3.77 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl497, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.77 zip_derived_cl595])).
% 22.06/3.77 thf(zip_derived_cl646, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 22.06/3.77 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl480, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.77 zip_derived_cl595, zip_derived_cl619])).
% 22.06/3.77 thf(zip_derived_cl677, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 22.06/3.77 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl461, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.77 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646])).
% 22.06/3.77 thf(zip_derived_cl711, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.77 X7 : $i, X8 : $i]:
% 22.06/3.77 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.77 X7 @ X8)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl439, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.77 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.77 zip_derived_cl677])).
% 22.06/3.77 thf(zip_derived_cl763, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.77 X7 : $i, X8 : $i, X9 : $i]:
% 22.06/3.77 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.77 X7 @ X8 @ X9)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl413, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.77 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.77 zip_derived_cl677, zip_derived_cl711])).
% 22.06/3.77 thf(zip_derived_cl823, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.77 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 22.06/3.77 ( (ssPv15_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.77 X7 @ X8 @ X9)
% 22.06/3.77 | ~ (ssPv15_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.77 X6 @ X7 @ X8 @ X9 @ X10))),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl371, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.77 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.77 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763])).
% 22.06/3.77 thf(zip_derived_cl2405, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.77 X7 : $i, X8 : $i, X9 : $i]:
% 22.06/3.77 ( (ssPv14_10r1r1r1r1r1r1r1r1r1r1 @ X9 @ X8 @ X7 @ X6 @ skc30 @ X5 @
% 22.06/3.77 X4 @ X3 @ X2 @ X1)
% 22.06/3.77 | ~ (ssPv18_11r1r1r1r1r1r1r1r1r1r1r1 @ X9 @ X8 @ X7 @ X6 @ skc30 @
% 22.06/3.77 X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 22.06/3.77 | (ssPv15_10r1r1r1r1r1r1r1r1r1r1 @ X9 @ X8 @ X7 @ X6 @ skc30 @ X5 @
% 22.06/3.77 X4 @ X3 @ X2 @ X1))),
% 22.06/3.77 inference('sup-', [status(thm)], [zip_derived_cl2404, zip_derived_cl823])).
% 22.06/3.77 thf(zip_derived_cl2406, plain,
% 22.06/3.77 (![X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i,
% 22.06/3.77 X8 : $i, X9 : $i]:
% 22.06/3.77 (~ (ssPv18_10r1r1r1r1r1r1r1r1r1r1 @ X9 @ X8 @ X7 @ X6 @ skc30 @ X5 @
% 22.06/3.77 X4 @ X3 @ X2 @ X1)
% 22.06/3.77 | (ssPv15_10r1r1r1r1r1r1r1r1r1r1 @ X9 @ X8 @ X7 @ X6 @ skc30 @ X5 @
% 22.06/3.77 X4 @ X3 @ X2 @ X1)
% 22.06/3.77 | (ssPv14_10r1r1r1r1r1r1r1r1r1r1 @ X9 @ X8 @ X7 @ X6 @ skc30 @ X5 @
% 22.06/3.77 X4 @ X3 @ X2 @ X1))),
% 22.06/3.77 inference('sup-', [status(thm)], [zip_derived_cl855, zip_derived_cl2405])).
% 22.06/3.77 thf(clause142, conjecture,
% 22.06/3.77 (~( ( ssPv14_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) |
% 22.06/3.77 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 22.06/3.77 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 22.06/3.77 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 22.06/3.77 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 22.06/3.77 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 22.06/3.77 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 22.06/3.77 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 22.06/3.77 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 22.06/3.77 ( ~( ssPv14_10r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.77 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 22.06/3.77 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) ))).
% 22.06/3.77 thf(zf_stmt_119, negated_conjecture,
% 22.06/3.77 (( ssPv14_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) |
% 22.06/3.77 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 22.06/3.77 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 22.06/3.77 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 22.06/3.77 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 22.06/3.77 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 22.06/3.77 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 22.06/3.77 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 22.06/3.77 ( ~( ssPv14_10r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.77 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 22.06/3.77 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) )),
% 22.06/3.77 inference('cnf.neg', [status(esa)], [clause142])).
% 22.06/3.77 thf(zip_derived_cl402, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.77 X7 : $i, X8 : $i, X9 : $i]:
% 22.06/3.77 ( (ssPv14_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.77 X7 @ X8)
% 22.06/3.77 | ~ (ssNder1_0)
% 22.06/3.77 | ~ (ssNder1_1r1 @ X0)
% 22.06/3.77 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 22.06/3.77 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 22.06/3.77 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 22.06/3.77 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 22.06/3.77 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 22.06/3.77 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 22.06/3.77 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.77 X7)
% 22.06/3.77 | ~ (ssPv14_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.77 X6 @ X7 @ X8 @ X9)
% 22.06/3.77 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.77 X6 @ X7 @ X8))),
% 22.06/3.77 inference('cnf', [status(esa)], [zf_stmt_119])).
% 22.06/3.77 thf(zip_derived_cl543, plain, ( (ssNder1_0)),
% 22.06/3.77 inference('cnf', [status(esa)], [zf_stmt_1])).
% 22.06/3.77 thf(zip_derived_cl549, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 22.06/3.77 inference('demod', [status(thm)], [zip_derived_cl542, zip_derived_cl543])).
% 22.06/3.77 thf(zip_derived_cl550, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl541, zip_derived_cl543, zip_derived_cl549])).
% 22.06/3.77 thf(zip_derived_cl556, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl535, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550])).
% 22.06/3.77 thf(zip_derived_cl574, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 22.06/3.77 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl526, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550, zip_derived_cl556])).
% 22.06/3.77 thf(zip_derived_cl595, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 22.06/3.77 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl512, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574])).
% 22.06/3.77 thf(zip_derived_cl619, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 22.06/3.77 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl497, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.77 zip_derived_cl595])).
% 22.06/3.77 thf(zip_derived_cl646, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 22.06/3.77 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl480, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.77 zip_derived_cl595, zip_derived_cl619])).
% 22.06/3.77 thf(zip_derived_cl677, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 22.06/3.77 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl461, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.77 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646])).
% 22.06/3.77 thf(zip_derived_cl711, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.77 X7 : $i, X8 : $i]:
% 22.06/3.77 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.77 X7 @ X8)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl439, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.77 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.77 zip_derived_cl677])).
% 22.06/3.77 thf(zip_derived_cl777, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.77 X7 : $i, X8 : $i, X9 : $i]:
% 22.06/3.77 ( (ssPv14_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.77 X7 @ X8)
% 22.06/3.77 | ~ (ssPv14_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.77 X6 @ X7 @ X8 @ X9))),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl402, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.77 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.77 zip_derived_cl677, zip_derived_cl711])).
% 22.06/3.77 thf(zip_derived_cl2407, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.77 X7 : $i, X8 : $i]:
% 22.06/3.77 ( (ssPv15_10r1r1r1r1r1r1r1r1r1r1 @ X8 @ X7 @ X6 @ X5 @ skc30 @ X4 @
% 22.06/3.77 X3 @ X2 @ X1 @ X0)
% 22.06/3.77 | ~ (ssPv18_10r1r1r1r1r1r1r1r1r1r1 @ X8 @ X7 @ X6 @ X5 @ skc30 @
% 22.06/3.77 X4 @ X3 @ X2 @ X1 @ X0)
% 22.06/3.77 | (ssPv14_9r1r1r1r1r1r1r1r1r1 @ X8 @ X7 @ X6 @ X5 @ skc30 @ X4 @
% 22.06/3.77 X3 @ X2 @ X1))),
% 22.06/3.77 inference('sup-', [status(thm)], [zip_derived_cl2406, zip_derived_cl777])).
% 22.06/3.77 thf(clause141, conjecture,
% 22.06/3.77 (~( ( ssPv15_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) |
% 22.06/3.77 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 22.06/3.77 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 22.06/3.77 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 22.06/3.77 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 22.06/3.77 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 22.06/3.77 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 22.06/3.77 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 22.06/3.77 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 22.06/3.77 ( ~( ssPv15_10r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.77 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 22.06/3.77 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) ))).
% 22.06/3.77 thf(zf_stmt_120, negated_conjecture,
% 22.06/3.77 (( ssPv15_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) |
% 22.06/3.77 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 22.06/3.77 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 22.06/3.77 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 22.06/3.77 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 22.06/3.77 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 22.06/3.77 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 22.06/3.77 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 22.06/3.77 ( ~( ssPv15_10r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.77 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 22.06/3.77 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) )),
% 22.06/3.77 inference('cnf.neg', [status(esa)], [clause141])).
% 22.06/3.77 thf(zip_derived_cl403, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.77 X7 : $i, X8 : $i, X9 : $i]:
% 22.06/3.77 ( (ssPv15_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.77 X7 @ X8)
% 22.06/3.77 | ~ (ssNder1_0)
% 22.06/3.77 | ~ (ssNder1_1r1 @ X0)
% 22.06/3.77 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 22.06/3.77 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 22.06/3.77 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 22.06/3.77 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 22.06/3.77 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 22.06/3.77 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 22.06/3.77 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.77 X7)
% 22.06/3.77 | ~ (ssPv15_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.77 X6 @ X7 @ X8 @ X9)
% 22.06/3.77 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.77 X6 @ X7 @ X8))),
% 22.06/3.77 inference('cnf', [status(esa)], [zf_stmt_120])).
% 22.06/3.77 thf(zip_derived_cl543, plain, ( (ssNder1_0)),
% 22.06/3.77 inference('cnf', [status(esa)], [zf_stmt_1])).
% 22.06/3.77 thf(zip_derived_cl549, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 22.06/3.77 inference('demod', [status(thm)], [zip_derived_cl542, zip_derived_cl543])).
% 22.06/3.77 thf(zip_derived_cl550, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl541, zip_derived_cl543, zip_derived_cl549])).
% 22.06/3.77 thf(zip_derived_cl556, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl535, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550])).
% 22.06/3.77 thf(zip_derived_cl574, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 22.06/3.77 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl526, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550, zip_derived_cl556])).
% 22.06/3.77 thf(zip_derived_cl595, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 22.06/3.77 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl512, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574])).
% 22.06/3.77 thf(zip_derived_cl619, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 22.06/3.77 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl497, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.77 zip_derived_cl595])).
% 22.06/3.77 thf(zip_derived_cl646, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 22.06/3.77 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl480, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.77 zip_derived_cl595, zip_derived_cl619])).
% 22.06/3.77 thf(zip_derived_cl677, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 22.06/3.77 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl461, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.77 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646])).
% 22.06/3.77 thf(zip_derived_cl711, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.77 X7 : $i, X8 : $i]:
% 22.06/3.77 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.77 X7 @ X8)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl439, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.77 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.77 zip_derived_cl677])).
% 22.06/3.77 thf(zip_derived_cl783, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.77 X7 : $i, X8 : $i, X9 : $i]:
% 22.06/3.77 ( (ssPv15_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.77 X7 @ X8)
% 22.06/3.77 | ~ (ssPv15_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.77 X6 @ X7 @ X8 @ X9))),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl403, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.77 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.77 zip_derived_cl677, zip_derived_cl711])).
% 22.06/3.77 thf(zip_derived_cl2408, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.77 X7 : $i, X8 : $i]:
% 22.06/3.77 ( (ssPv14_9r1r1r1r1r1r1r1r1r1 @ X8 @ X7 @ X6 @ X5 @ skc30 @ X4 @ X3 @
% 22.06/3.77 X2 @ X1)
% 22.06/3.77 | ~ (ssPv18_10r1r1r1r1r1r1r1r1r1r1 @ X8 @ X7 @ X6 @ X5 @ skc30 @
% 22.06/3.77 X4 @ X3 @ X2 @ X1 @ X0)
% 22.06/3.77 | (ssPv15_9r1r1r1r1r1r1r1r1r1 @ X8 @ X7 @ X6 @ X5 @ skc30 @ X4 @
% 22.06/3.77 X3 @ X2 @ X1))),
% 22.06/3.77 inference('sup-', [status(thm)], [zip_derived_cl2407, zip_derived_cl783])).
% 22.06/3.77 thf(zip_derived_cl2409, plain,
% 22.06/3.77 (![X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i, X8 : $i]:
% 22.06/3.77 (~ (ssPv18_9r1r1r1r1r1r1r1r1r1 @ X8 @ X7 @ X6 @ X5 @ skc30 @ X4 @
% 22.06/3.77 X3 @ X2 @ X1)
% 22.06/3.77 | (ssPv15_9r1r1r1r1r1r1r1r1r1 @ X8 @ X7 @ X6 @ X5 @ skc30 @ X4 @
% 22.06/3.77 X3 @ X2 @ X1)
% 22.06/3.77 | (ssPv14_9r1r1r1r1r1r1r1r1r1 @ X8 @ X7 @ X6 @ X5 @ skc30 @ X4 @
% 22.06/3.77 X3 @ X2 @ X1))),
% 22.06/3.77 inference('sup-', [status(thm)], [zip_derived_cl800, zip_derived_cl2408])).
% 22.06/3.77 thf(clause130, conjecture,
% 22.06/3.77 (~( ( ssPv14_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) |
% 22.06/3.77 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 22.06/3.77 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 22.06/3.77 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 22.06/3.77 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 22.06/3.77 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 22.06/3.77 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 22.06/3.77 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 22.06/3.77 ( ~( ssPv14_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 22.06/3.77 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) ))).
% 22.06/3.77 thf(zf_stmt_121, negated_conjecture,
% 22.06/3.77 (( ssPv14_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) |
% 22.06/3.77 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 22.06/3.77 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 22.06/3.77 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 22.06/3.77 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 22.06/3.77 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 22.06/3.77 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 22.06/3.77 ( ~( ssPv14_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 22.06/3.77 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) )),
% 22.06/3.77 inference('cnf.neg', [status(esa)], [clause130])).
% 22.06/3.77 thf(zip_derived_cl414, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.77 X7 : $i, X8 : $i]:
% 22.06/3.77 ( (ssPv14_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)
% 22.06/3.77 | ~ (ssNder1_0)
% 22.06/3.77 | ~ (ssNder1_1r1 @ X0)
% 22.06/3.77 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 22.06/3.77 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 22.06/3.77 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 22.06/3.77 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 22.06/3.77 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 22.06/3.77 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 22.06/3.77 | ~ (ssPv14_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.77 X7 @ X8)
% 22.06/3.77 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.77 X7))),
% 22.06/3.77 inference('cnf', [status(esa)], [zf_stmt_121])).
% 22.06/3.77 thf(zip_derived_cl543, plain, ( (ssNder1_0)),
% 22.06/3.77 inference('cnf', [status(esa)], [zf_stmt_1])).
% 22.06/3.77 thf(zip_derived_cl549, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 22.06/3.77 inference('demod', [status(thm)], [zip_derived_cl542, zip_derived_cl543])).
% 22.06/3.77 thf(zip_derived_cl550, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl541, zip_derived_cl543, zip_derived_cl549])).
% 22.06/3.77 thf(zip_derived_cl556, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl535, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550])).
% 22.06/3.77 thf(zip_derived_cl574, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 22.06/3.77 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl526, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550, zip_derived_cl556])).
% 22.06/3.77 thf(zip_derived_cl595, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 22.06/3.77 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl512, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574])).
% 22.06/3.77 thf(zip_derived_cl619, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 22.06/3.77 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl497, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.77 zip_derived_cl595])).
% 22.06/3.77 thf(zip_derived_cl646, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 22.06/3.77 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl480, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.77 zip_derived_cl595, zip_derived_cl619])).
% 22.06/3.77 thf(zip_derived_cl677, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 22.06/3.77 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl461, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.77 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646])).
% 22.06/3.77 thf(zip_derived_cl726, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.77 X7 : $i, X8 : $i]:
% 22.06/3.77 ( (ssPv14_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)
% 22.06/3.77 | ~ (ssPv14_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.77 X7 @ X8))),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl414, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.77 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.77 zip_derived_cl677])).
% 22.06/3.77 thf(zip_derived_cl2410, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 22.06/3.77 ( (ssPv15_9r1r1r1r1r1r1r1r1r1 @ X7 @ X6 @ X5 @ X4 @ skc30 @ X3 @ X2 @
% 22.06/3.77 X1 @ X0)
% 22.06/3.77 | ~ (ssPv18_9r1r1r1r1r1r1r1r1r1 @ X7 @ X6 @ X5 @ X4 @ skc30 @ X3 @
% 22.06/3.77 X2 @ X1 @ X0)
% 22.06/3.77 | (ssPv14_8r1r1r1r1r1r1r1r1 @ X7 @ X6 @ X5 @ X4 @ skc30 @ X3 @ X2 @
% 22.06/3.77 X1))),
% 22.06/3.77 inference('sup-', [status(thm)], [zip_derived_cl2409, zip_derived_cl726])).
% 22.06/3.77 thf(clause129, conjecture,
% 22.06/3.77 (~( ( ssPv15_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) |
% 22.06/3.77 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 22.06/3.77 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 22.06/3.77 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 22.06/3.77 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 22.06/3.77 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 22.06/3.77 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 22.06/3.77 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 22.06/3.77 ( ~( ssPv15_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 22.06/3.77 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) ))).
% 22.06/3.77 thf(zf_stmt_122, negated_conjecture,
% 22.06/3.77 (( ssPv15_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) |
% 22.06/3.77 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 22.06/3.77 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 22.06/3.77 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 22.06/3.77 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 22.06/3.77 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 22.06/3.77 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 22.06/3.77 ( ~( ssPv15_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 22.06/3.77 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) )),
% 22.06/3.77 inference('cnf.neg', [status(esa)], [clause129])).
% 22.06/3.77 thf(zip_derived_cl415, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.77 X7 : $i, X8 : $i]:
% 22.06/3.77 ( (ssPv15_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)
% 22.06/3.77 | ~ (ssNder1_0)
% 22.06/3.77 | ~ (ssNder1_1r1 @ X0)
% 22.06/3.77 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 22.06/3.77 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 22.06/3.77 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 22.06/3.77 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 22.06/3.77 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 22.06/3.77 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 22.06/3.77 | ~ (ssPv15_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.77 X7 @ X8)
% 22.06/3.77 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.77 X7))),
% 22.06/3.77 inference('cnf', [status(esa)], [zf_stmt_122])).
% 22.06/3.77 thf(zip_derived_cl543, plain, ( (ssNder1_0)),
% 22.06/3.77 inference('cnf', [status(esa)], [zf_stmt_1])).
% 22.06/3.77 thf(zip_derived_cl549, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 22.06/3.77 inference('demod', [status(thm)], [zip_derived_cl542, zip_derived_cl543])).
% 22.06/3.77 thf(zip_derived_cl550, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl541, zip_derived_cl543, zip_derived_cl549])).
% 22.06/3.77 thf(zip_derived_cl556, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl535, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550])).
% 22.06/3.77 thf(zip_derived_cl574, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 22.06/3.77 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl526, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550, zip_derived_cl556])).
% 22.06/3.77 thf(zip_derived_cl595, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 22.06/3.77 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl512, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574])).
% 22.06/3.77 thf(zip_derived_cl619, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 22.06/3.77 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl497, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.77 zip_derived_cl595])).
% 22.06/3.77 thf(zip_derived_cl646, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 22.06/3.77 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl480, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.77 zip_derived_cl595, zip_derived_cl619])).
% 22.06/3.77 thf(zip_derived_cl677, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 22.06/3.77 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl461, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.77 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646])).
% 22.06/3.77 thf(zip_derived_cl727, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.77 X7 : $i, X8 : $i]:
% 22.06/3.77 ( (ssPv15_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)
% 22.06/3.77 | ~ (ssPv15_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.77 X7 @ X8))),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl415, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.77 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.77 zip_derived_cl677])).
% 22.06/3.77 thf(zip_derived_cl2411, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 22.06/3.77 ( (ssPv14_8r1r1r1r1r1r1r1r1 @ X7 @ X6 @ X5 @ X4 @ skc30 @ X3 @ X2 @ X1)
% 22.06/3.77 | ~ (ssPv18_9r1r1r1r1r1r1r1r1r1 @ X7 @ X6 @ X5 @ X4 @ skc30 @ X3 @
% 22.06/3.77 X2 @ X1 @ X0)
% 22.06/3.77 | (ssPv15_8r1r1r1r1r1r1r1r1 @ X7 @ X6 @ X5 @ X4 @ skc30 @ X3 @ X2 @
% 22.06/3.77 X1))),
% 22.06/3.77 inference('sup-', [status(thm)], [zip_derived_cl2410, zip_derived_cl727])).
% 22.06/3.77 thf(zip_derived_cl2421, plain,
% 22.06/3.77 (![X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 22.06/3.77 (~ (ssPv18_8r1r1r1r1r1r1r1r1 @ X7 @ X6 @ X5 @ X4 @ skc30 @ X3 @ X2 @
% 22.06/3.77 X1)
% 22.06/3.77 | (ssPv15_8r1r1r1r1r1r1r1r1 @ X7 @ X6 @ X5 @ X4 @ skc30 @ X3 @ X2 @
% 22.06/3.77 X1)
% 22.06/3.77 | (ssPv14_8r1r1r1r1r1r1r1r1 @ X7 @ X6 @ X5 @ X4 @ skc30 @ X3 @ X2 @
% 22.06/3.77 X1))),
% 22.06/3.77 inference('sup-', [status(thm)], [zip_derived_cl757, zip_derived_cl2411])).
% 22.06/3.77 thf(clause104, conjecture,
% 22.06/3.77 (~( ( ssPv14_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) |
% 22.06/3.77 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 22.06/3.77 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 22.06/3.77 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 22.06/3.77 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 22.06/3.77 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 22.06/3.77 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 22.06/3.77 ( ~( ssPv14_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 22.06/3.77 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) ))).
% 22.06/3.77 thf(zf_stmt_123, negated_conjecture,
% 22.06/3.77 (( ssPv14_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) |
% 22.06/3.77 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 22.06/3.77 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 22.06/3.77 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 22.06/3.77 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 22.06/3.77 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 22.06/3.77 ( ~( ssPv14_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 22.06/3.77 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) )),
% 22.06/3.77 inference('cnf.neg', [status(esa)], [clause104])).
% 22.06/3.77 thf(zip_derived_cl440, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 22.06/3.77 ( (ssPv14_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 22.06/3.77 | ~ (ssNder1_0)
% 22.06/3.77 | ~ (ssNder1_1r1 @ X0)
% 22.06/3.77 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 22.06/3.77 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 22.06/3.77 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 22.06/3.77 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 22.06/3.77 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 22.06/3.77 | ~ (ssPv14_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)
% 22.06/3.77 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6))),
% 22.06/3.77 inference('cnf', [status(esa)], [zf_stmt_123])).
% 22.06/3.77 thf(zip_derived_cl543, plain, ( (ssNder1_0)),
% 22.06/3.77 inference('cnf', [status(esa)], [zf_stmt_1])).
% 22.06/3.77 thf(zip_derived_cl549, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 22.06/3.77 inference('demod', [status(thm)], [zip_derived_cl542, zip_derived_cl543])).
% 22.06/3.77 thf(zip_derived_cl550, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl541, zip_derived_cl543, zip_derived_cl549])).
% 22.06/3.77 thf(zip_derived_cl556, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl535, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550])).
% 22.06/3.77 thf(zip_derived_cl574, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 22.06/3.77 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl526, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550, zip_derived_cl556])).
% 22.06/3.77 thf(zip_derived_cl595, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 22.06/3.77 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl512, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574])).
% 22.06/3.77 thf(zip_derived_cl619, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 22.06/3.77 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl497, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.77 zip_derived_cl595])).
% 22.06/3.77 thf(zip_derived_cl646, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 22.06/3.77 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl480, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.77 zip_derived_cl595, zip_derived_cl619])).
% 22.06/3.77 thf(zip_derived_cl690, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 22.06/3.77 ( (ssPv14_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 22.06/3.77 | ~ (ssPv14_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7))),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl440, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.77 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646])).
% 22.06/3.77 thf(zip_derived_cl2422, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 22.06/3.77 ( (ssPv15_8r1r1r1r1r1r1r1r1 @ X6 @ X5 @ X4 @ X3 @ skc30 @ X2 @ X1 @ X0)
% 22.06/3.77 | ~ (ssPv18_8r1r1r1r1r1r1r1r1 @ X6 @ X5 @ X4 @ X3 @ skc30 @ X2 @
% 22.06/3.77 X1 @ X0)
% 22.06/3.77 | (ssPv14_7r1r1r1r1r1r1r1 @ X6 @ X5 @ X4 @ X3 @ skc30 @ X2 @ X1))),
% 22.06/3.77 inference('sup-', [status(thm)], [zip_derived_cl2421, zip_derived_cl690])).
% 22.06/3.77 thf(clause103, conjecture,
% 22.06/3.77 (~( ( ssPv15_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) |
% 22.06/3.77 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 22.06/3.77 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 22.06/3.77 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 22.06/3.77 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 22.06/3.77 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 22.06/3.77 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 22.06/3.77 ( ~( ssPv15_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 22.06/3.77 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) ))).
% 22.06/3.77 thf(zf_stmt_124, negated_conjecture,
% 22.06/3.77 (( ssPv15_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) |
% 22.06/3.77 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 22.06/3.77 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 22.06/3.77 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 22.06/3.77 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 22.06/3.77 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 22.06/3.77 ( ~( ssPv15_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 22.06/3.77 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) )),
% 22.06/3.77 inference('cnf.neg', [status(esa)], [clause103])).
% 22.06/3.77 thf(zip_derived_cl441, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 22.06/3.77 ( (ssPv15_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 22.06/3.77 | ~ (ssNder1_0)
% 22.06/3.77 | ~ (ssNder1_1r1 @ X0)
% 22.06/3.77 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 22.06/3.77 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 22.06/3.77 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 22.06/3.77 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 22.06/3.77 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 22.06/3.77 | ~ (ssPv15_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)
% 22.06/3.77 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6))),
% 22.06/3.77 inference('cnf', [status(esa)], [zf_stmt_124])).
% 22.06/3.77 thf(zip_derived_cl543, plain, ( (ssNder1_0)),
% 22.06/3.77 inference('cnf', [status(esa)], [zf_stmt_1])).
% 22.06/3.77 thf(zip_derived_cl549, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 22.06/3.77 inference('demod', [status(thm)], [zip_derived_cl542, zip_derived_cl543])).
% 22.06/3.77 thf(zip_derived_cl550, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl541, zip_derived_cl543, zip_derived_cl549])).
% 22.06/3.77 thf(zip_derived_cl556, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl535, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550])).
% 22.06/3.77 thf(zip_derived_cl574, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 22.06/3.77 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl526, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550, zip_derived_cl556])).
% 22.06/3.77 thf(zip_derived_cl595, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 22.06/3.77 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl512, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574])).
% 22.06/3.77 thf(zip_derived_cl619, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 22.06/3.77 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl497, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.77 zip_derived_cl595])).
% 22.06/3.77 thf(zip_derived_cl646, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 22.06/3.77 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl480, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.77 zip_derived_cl595, zip_derived_cl619])).
% 22.06/3.77 thf(zip_derived_cl691, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 22.06/3.77 ( (ssPv15_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 22.06/3.77 | ~ (ssPv15_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7))),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl441, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.77 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646])).
% 22.06/3.77 thf(zip_derived_cl2423, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 22.06/3.77 ( (ssPv14_7r1r1r1r1r1r1r1 @ X6 @ X5 @ X4 @ X3 @ skc30 @ X2 @ X1)
% 22.06/3.77 | ~ (ssPv18_8r1r1r1r1r1r1r1r1 @ X6 @ X5 @ X4 @ X3 @ skc30 @ X2 @
% 22.06/3.77 X1 @ X0)
% 22.06/3.77 | (ssPv15_7r1r1r1r1r1r1r1 @ X6 @ X5 @ X4 @ X3 @ skc30 @ X2 @ X1))),
% 22.06/3.77 inference('sup-', [status(thm)], [zip_derived_cl2422, zip_derived_cl691])).
% 22.06/3.77 thf(zip_derived_cl2424, plain,
% 22.06/3.77 (![X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 22.06/3.77 (~ (ssPv18_7r1r1r1r1r1r1r1 @ X6 @ X5 @ X4 @ X3 @ skc30 @ X2 @ X1)
% 22.06/3.77 | (ssPv15_7r1r1r1r1r1r1r1 @ X6 @ X5 @ X4 @ X3 @ skc30 @ X2 @ X1)
% 22.06/3.77 | (ssPv14_7r1r1r1r1r1r1r1 @ X6 @ X5 @ X4 @ X3 @ skc30 @ X2 @ X1))),
% 22.06/3.77 inference('sup-', [status(thm)], [zip_derived_cl705, zip_derived_cl2423])).
% 22.06/3.77 thf(clause81, conjecture,
% 22.06/3.77 (~( ( ssPv15_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) |
% 22.06/3.77 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 22.06/3.77 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 22.06/3.77 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 22.06/3.77 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 22.06/3.77 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 22.06/3.77 ( ~( ssPv15_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 22.06/3.77 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) ))).
% 22.06/3.77 thf(zf_stmt_125, negated_conjecture,
% 22.06/3.77 (( ssPv15_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) | ( ~( ssNder1_0 ) ) |
% 22.06/3.77 ( ~( ssNder1_1r1 @ U ) ) | ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 22.06/3.77 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 22.06/3.77 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 22.06/3.77 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 22.06/3.77 ( ~( ssPv15_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 22.06/3.77 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) )),
% 22.06/3.77 inference('cnf.neg', [status(esa)], [clause81])).
% 22.06/3.77 thf(zip_derived_cl463, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 22.06/3.77 ( (ssPv15_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 22.06/3.77 | ~ (ssNder1_0)
% 22.06/3.77 | ~ (ssNder1_1r1 @ X0)
% 22.06/3.77 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 22.06/3.77 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 22.06/3.77 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 22.06/3.77 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 22.06/3.77 | ~ (ssPv15_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 22.06/3.77 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5))),
% 22.06/3.77 inference('cnf', [status(esa)], [zf_stmt_125])).
% 22.06/3.77 thf(zip_derived_cl543, plain, ( (ssNder1_0)),
% 22.06/3.77 inference('cnf', [status(esa)], [zf_stmt_1])).
% 22.06/3.77 thf(zip_derived_cl549, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 22.06/3.77 inference('demod', [status(thm)], [zip_derived_cl542, zip_derived_cl543])).
% 22.06/3.77 thf(zip_derived_cl550, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl541, zip_derived_cl543, zip_derived_cl549])).
% 22.06/3.77 thf(zip_derived_cl556, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl535, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550])).
% 22.06/3.77 thf(zip_derived_cl574, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 22.06/3.77 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl526, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550, zip_derived_cl556])).
% 22.06/3.77 thf(zip_derived_cl595, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 22.06/3.77 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl512, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574])).
% 22.06/3.77 thf(zip_derived_cl619, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 22.06/3.77 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl497, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.77 zip_derived_cl595])).
% 22.06/3.77 thf(zip_derived_cl655, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 22.06/3.77 ( (ssPv15_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 22.06/3.77 | ~ (ssPv15_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6))),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl463, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.77 zip_derived_cl595, zip_derived_cl619])).
% 22.06/3.77 thf(zip_derived_cl2425, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 22.06/3.77 ( (ssPv14_7r1r1r1r1r1r1r1 @ X5 @ X4 @ X3 @ X2 @ skc30 @ X1 @ X0)
% 22.06/3.77 | ~ (ssPv18_7r1r1r1r1r1r1r1 @ X5 @ X4 @ X3 @ X2 @ skc30 @ X1 @ X0)
% 22.06/3.77 | (ssPv15_6r1r1r1r1r1r1 @ X5 @ X4 @ X3 @ X2 @ skc30 @ X1))),
% 22.06/3.77 inference('sup-', [status(thm)], [zip_derived_cl2424, zip_derived_cl655])).
% 22.06/3.77 thf(zip_derived_cl2426, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 22.06/3.77 (~ (ssPv18_6r1r1r1r1r1r1 @ X5 @ X4 @ X3 @ X2 @ skc30 @ X1)
% 22.06/3.77 | (ssPv15_6r1r1r1r1r1r1 @ X5 @ X4 @ X3 @ X2 @ skc30 @ X1)
% 22.06/3.77 | (ssPv14_7r1r1r1r1r1r1r1 @ X5 @ X4 @ X3 @ X2 @ skc30 @ X1 @ X0))),
% 22.06/3.77 inference('sup-', [status(thm)], [zip_derived_cl673, zip_derived_cl2425])).
% 22.06/3.77 thf(zip_derived_cl2427, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 22.06/3.77 (~ (ssPv18_5r1r1r1r1r1 @ X4 @ X3 @ X2 @ X1 @ skc30)
% 22.06/3.77 | (ssPv14_7r1r1r1r1r1r1r1 @ X4 @ X3 @ X2 @ X1 @ skc30 @ X0 @ X5)
% 22.06/3.77 | (ssPv15_6r1r1r1r1r1r1 @ X4 @ X3 @ X2 @ X1 @ skc30 @ X0))),
% 22.06/3.77 inference('sup-', [status(thm)], [zip_derived_cl636, zip_derived_cl2426])).
% 22.06/3.77 thf(clause52, conjecture,
% 22.06/3.77 (~( ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 22.06/3.77 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 22.06/3.77 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 22.06/3.77 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 22.06/3.77 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 22.06/3.77 ( ~( ssPv14_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ skc27 ) ) ))).
% 22.06/3.77 thf(zf_stmt_126, negated_conjecture,
% 22.06/3.77 (( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 22.06/3.77 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 22.06/3.77 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 22.06/3.77 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 22.06/3.77 ( ~( ssPv14_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ skc27 ) )),
% 22.06/3.77 inference('cnf.neg', [status(esa)], [clause52])).
% 22.06/3.77 thf(zip_derived_cl492, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 22.06/3.77 (~ (ssNder1_0)
% 22.06/3.77 | ~ (ssNder1_1r1 @ X0)
% 22.06/3.77 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 22.06/3.77 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 22.06/3.77 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 22.06/3.77 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 22.06/3.77 | ~ (ssPv14_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ skc27))),
% 22.06/3.77 inference('cnf', [status(esa)], [zf_stmt_126])).
% 22.06/3.77 thf(zip_derived_cl543, plain, ( (ssNder1_0)),
% 22.06/3.77 inference('cnf', [status(esa)], [zf_stmt_1])).
% 22.06/3.77 thf(zip_derived_cl545, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 22.06/3.77 (~ (ssNder1_1r1 @ X0)
% 22.06/3.77 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 22.06/3.77 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 22.06/3.77 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 22.06/3.77 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 22.06/3.77 | ~ (ssPv14_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ skc27))),
% 22.06/3.77 inference('demod', [status(thm)], [zip_derived_cl492, zip_derived_cl543])).
% 22.06/3.77 thf(zip_derived_cl549, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 22.06/3.77 inference('demod', [status(thm)], [zip_derived_cl542, zip_derived_cl543])).
% 22.06/3.77 thf(zip_derived_cl550, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl541, zip_derived_cl543, zip_derived_cl549])).
% 22.06/3.77 thf(zip_derived_cl556, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl535, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550])).
% 22.06/3.77 thf(zip_derived_cl570, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 22.06/3.77 (~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 22.06/3.77 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 22.06/3.77 | ~ (ssPv14_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ skc27))),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl545, zip_derived_cl549, zip_derived_cl550,
% 22.06/3.77 zip_derived_cl556])).
% 22.06/3.77 thf(zip_derived_cl574, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 22.06/3.77 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl526, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550, zip_derived_cl556])).
% 22.06/3.77 thf(zip_derived_cl576, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 22.06/3.77 (~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 22.06/3.77 | ~ (ssPv14_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ skc27))),
% 22.06/3.77 inference('demod', [status(thm)], [zip_derived_cl570, zip_derived_cl574])).
% 22.06/3.77 thf(zip_derived_cl595, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 22.06/3.77 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl512, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574])).
% 22.06/3.77 thf(zip_derived_cl596, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 22.06/3.77 ~ (ssPv14_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ skc27)),
% 22.06/3.77 inference('demod', [status(thm)], [zip_derived_cl576, zip_derived_cl595])).
% 22.06/3.77 thf(zip_derived_cl2429, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 22.06/3.77 ( (ssPv15_6r1r1r1r1r1r1 @ X4 @ X3 @ X2 @ X1 @ skc30 @ X0)
% 22.06/3.77 | ~ (ssPv18_5r1r1r1r1r1 @ X4 @ X3 @ X2 @ X1 @ skc30))),
% 22.06/3.77 inference('sup-', [status(thm)], [zip_derived_cl2427, zip_derived_cl596])).
% 22.06/3.77 thf(zip_derived_cl2430, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 22.06/3.77 (~ (ssPv18_4r1r1r1r1 @ X3 @ X2 @ X1 @ X0)
% 22.06/3.77 | (ssPv15_6r1r1r1r1r1r1 @ X3 @ X2 @ X1 @ X0 @ skc30 @ X4))),
% 22.06/3.77 inference('sup-', [status(thm)], [zip_derived_cl610, zip_derived_cl2429])).
% 22.06/3.77 thf(clause34, conjecture,
% 22.06/3.77 (~( ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 22.06/3.77 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 22.06/3.77 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 22.06/3.77 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 22.06/3.77 ( ~( ssPv15_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ skc29 ) ) ))).
% 22.06/3.77 thf(zf_stmt_127, negated_conjecture,
% 22.06/3.77 (( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 22.06/3.77 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 22.06/3.77 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 22.06/3.77 ( ~( ssPv15_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ skc29 ) )),
% 22.06/3.77 inference('cnf.neg', [status(esa)], [clause34])).
% 22.06/3.77 thf(zip_derived_cl510, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 22.06/3.77 (~ (ssNder1_0)
% 22.06/3.77 | ~ (ssNder1_1r1 @ X0)
% 22.06/3.77 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 22.06/3.77 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 22.06/3.77 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 22.06/3.77 | ~ (ssPv15_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ skc29))),
% 22.06/3.77 inference('cnf', [status(esa)], [zf_stmt_127])).
% 22.06/3.77 thf(zip_derived_cl543, plain, ( (ssNder1_0)),
% 22.06/3.77 inference('cnf', [status(esa)], [zf_stmt_1])).
% 22.06/3.77 thf(zip_derived_cl546, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 22.06/3.77 (~ (ssNder1_1r1 @ X0)
% 22.06/3.77 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 22.06/3.77 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 22.06/3.77 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 22.06/3.77 | ~ (ssPv15_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ skc29))),
% 22.06/3.77 inference('demod', [status(thm)], [zip_derived_cl510, zip_derived_cl543])).
% 22.06/3.77 thf(zip_derived_cl549, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 22.06/3.77 inference('demod', [status(thm)], [zip_derived_cl542, zip_derived_cl543])).
% 22.06/3.77 thf(zip_derived_cl550, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl541, zip_derived_cl543, zip_derived_cl549])).
% 22.06/3.77 thf(zip_derived_cl556, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl535, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550])).
% 22.06/3.77 thf(zip_derived_cl569, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 22.06/3.77 (~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 22.06/3.77 | ~ (ssPv15_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ skc29))),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl546, zip_derived_cl549, zip_derived_cl550,
% 22.06/3.77 zip_derived_cl556])).
% 22.06/3.77 thf(zip_derived_cl574, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 22.06/3.77 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl526, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550, zip_derived_cl556])).
% 22.06/3.77 thf(zip_derived_cl575, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 22.06/3.77 ~ (ssPv15_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ skc29)),
% 22.06/3.77 inference('demod', [status(thm)], [zip_derived_cl569, zip_derived_cl574])).
% 22.06/3.77 thf(zip_derived_cl2431, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 22.06/3.77 ~ (ssPv18_4r1r1r1r1 @ X3 @ X2 @ X1 @ X0)),
% 22.06/3.77 inference('sup-', [status(thm)], [zip_derived_cl2430, zip_derived_cl575])).
% 22.06/3.77 thf(zip_derived_cl2432, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 22.06/3.77 ~ (ssPv18_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 22.06/3.77 inference('demod', [status(thm)], [zip_derived_cl606, zip_derived_cl2431])).
% 22.06/3.77 thf(zip_derived_cl2439, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 22.06/3.77 ~ (ssPv18_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 22.06/3.77 inference('demod', [status(thm)], [zip_derived_cl633, zip_derived_cl2432])).
% 22.06/3.77 thf(zip_derived_cl2440, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 22.06/3.77 ~ (ssPv18_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 22.06/3.77 inference('demod', [status(thm)], [zip_derived_cl662, zip_derived_cl2439])).
% 22.06/3.77 thf(zip_derived_cl2441, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 22.06/3.77 ~ (ssPv18_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 22.06/3.77 inference('demod', [status(thm)], [zip_derived_cl694, zip_derived_cl2440])).
% 22.06/3.77 thf(zip_derived_cl2446, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.77 X7 : $i, X8 : $i]:
% 22.06/3.77 ~ (ssPv18_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.77 X7 @ X8)),
% 22.06/3.77 inference('demod', [status(thm)], [zip_derived_cl730, zip_derived_cl2441])).
% 22.06/3.77 thf(zip_derived_cl2448, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.77 X7 : $i, X8 : $i, X9 : $i]:
% 22.06/3.77 ~ (ssPv18_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.77 X7 @ X8 @ X9)),
% 22.06/3.77 inference('demod', [status(thm)], [zip_derived_cl786, zip_derived_cl2446])).
% 22.06/3.77 thf(zip_derived_cl2450, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.77 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 22.06/3.77 ~ (ssPv18_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.77 X6 @ X7 @ X8 @ X9 @ X10)),
% 22.06/3.77 inference('demod', [status(thm)], [zip_derived_cl826, zip_derived_cl2448])).
% 22.06/3.77 thf(zip_derived_cl2454, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.77 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 22.06/3.77 ~ (ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.77 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 22.06/3.77 inference('demod', [status(thm)], [zip_derived_cl884, zip_derived_cl2450])).
% 22.06/3.77 thf(zip_derived_cl2455, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.77 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 22.06/3.77 ~ (ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.77 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 22.06/3.77 inference('demod', [status(thm)], [zip_derived_cl942, zip_derived_cl2454])).
% 22.06/3.77 thf(zip_derived_cl2471, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.77 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 22.06/3.77 ~ (ssPv18_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.77 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl1009, zip_derived_cl2455])).
% 22.06/3.77 thf(zip_derived_cl2472, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.77 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 22.06/3.77 X14 : $i]:
% 22.06/3.77 ~ (ssPv18_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.77 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl1060, zip_derived_cl2471])).
% 22.06/3.77 thf(zip_derived_cl2473, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.77 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 22.06/3.77 X14 : $i, X15 : $i]:
% 22.06/3.77 ~ (ssPv18_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 22.06/3.77 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl1550, zip_derived_cl2472])).
% 22.06/3.77 thf(zip_derived_cl543, plain, ( (ssNder1_0)),
% 22.06/3.77 inference('cnf', [status(esa)], [zf_stmt_1])).
% 22.06/3.77 thf(zip_derived_cl549, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 22.06/3.77 inference('demod', [status(thm)], [zip_derived_cl542, zip_derived_cl543])).
% 22.06/3.77 thf(zip_derived_cl550, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl541, zip_derived_cl543, zip_derived_cl549])).
% 22.06/3.77 thf(zip_derived_cl556, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl535, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550])).
% 22.06/3.77 thf(zip_derived_cl574, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 22.06/3.77 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl526, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550, zip_derived_cl556])).
% 22.06/3.77 thf(zip_derived_cl595, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 22.06/3.77 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl512, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574])).
% 22.06/3.77 thf(zip_derived_cl619, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 22.06/3.77 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl497, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.77 zip_derived_cl595])).
% 22.06/3.77 thf(zip_derived_cl646, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 22.06/3.77 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl480, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.77 zip_derived_cl595, zip_derived_cl619])).
% 22.06/3.77 thf(zip_derived_cl677, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 22.06/3.77 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl461, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.77 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646])).
% 22.06/3.77 thf(zip_derived_cl711, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.77 X7 : $i, X8 : $i]:
% 22.06/3.77 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.77 X7 @ X8)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl439, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.77 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.77 zip_derived_cl677])).
% 22.06/3.77 thf(zip_derived_cl763, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.77 X7 : $i, X8 : $i, X9 : $i]:
% 22.06/3.77 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.77 X7 @ X8 @ X9)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl413, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.77 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.77 zip_derived_cl677, zip_derived_cl711])).
% 22.06/3.77 thf(zip_derived_cl807, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.77 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 22.06/3.77 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.77 X6 @ X7 @ X8 @ X9 @ X10)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl390, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.77 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.77 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763])).
% 22.06/3.77 thf(zip_derived_cl857, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.77 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 22.06/3.77 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.77 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl363, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.77 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.77 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763,
% 22.06/3.77 zip_derived_cl807])).
% 22.06/3.77 thf(zip_derived_cl911, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.77 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 22.06/3.77 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.77 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl334, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.77 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.77 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763,
% 22.06/3.77 zip_derived_cl807, zip_derived_cl857])).
% 22.06/3.77 thf(zip_derived_cl969, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.77 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 22.06/3.77 (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.77 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl300, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.77 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.77 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763,
% 22.06/3.77 zip_derived_cl807, zip_derived_cl857, zip_derived_cl911])).
% 22.06/3.77 thf(zip_derived_cl1050, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.77 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 22.06/3.77 X14 : $i]:
% 22.06/3.77 (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.77 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl260, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.77 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.77 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763,
% 22.06/3.77 zip_derived_cl807, zip_derived_cl857, zip_derived_cl911,
% 22.06/3.77 zip_derived_cl969])).
% 22.06/3.77 thf(zip_derived_cl2702, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.77 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 22.06/3.77 X14 : $i, X15 : $i]:
% 22.06/3.77 (~ (ssPv14_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 22.06/3.77 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15)
% 22.06/3.77 | ~ (ssPv9_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 22.06/3.77 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15)
% 22.06/3.77 | ~ (ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 22.06/3.77 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15))),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl130, zip_derived_cl2473, zip_derived_cl543,
% 22.06/3.77 zip_derived_cl549, zip_derived_cl550, zip_derived_cl556,
% 22.06/3.77 zip_derived_cl574, zip_derived_cl595, zip_derived_cl619,
% 22.06/3.77 zip_derived_cl646, zip_derived_cl677, zip_derived_cl711,
% 22.06/3.77 zip_derived_cl763, zip_derived_cl807, zip_derived_cl857,
% 22.06/3.77 zip_derived_cl911, zip_derived_cl969, zip_derived_cl1050])).
% 22.06/3.77 thf(zip_derived_cl2703, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.77 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 22.06/3.77 X14 : $i, X15 : $i]:
% 22.06/3.77 (~ (ssPv14_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X15 @ X14 @ X13 @ X12 @
% 22.06/3.77 X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1)
% 22.06/3.77 | ~ (ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X15 @ X14 @ X13 @
% 22.06/3.77 X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @
% 22.06/3.77 X0)
% 22.06/3.77 | ~ (ssPv9_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X15 @ X14 @ X13 @
% 22.06/3.77 X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @
% 22.06/3.77 X0))),
% 22.06/3.77 inference('sup-', [status(thm)], [zip_derived_cl1586, zip_derived_cl2702])).
% 22.06/3.77 thf(zip_derived_cl2712, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.77 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 22.06/3.77 X14 : $i]:
% 22.06/3.77 (~ (ssPv9_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X14 @ X13 @ X12 @
% 22.06/3.77 X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @
% 22.06/3.77 skc16)
% 22.06/3.77 | ~ (ssPv14_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X14 @ X13 @ X12 @
% 22.06/3.77 X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0))),
% 22.06/3.77 inference('sup-', [status(thm)], [zip_derived_cl1056, zip_derived_cl2703])).
% 22.06/3.77 thf(zip_derived_cl2713, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.77 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 22.06/3.77 X14 : $i]:
% 22.06/3.77 (~ (ssPv9_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X14 @ X13 @ X12 @ X11 @
% 22.06/3.77 X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 22.06/3.77 | ~ (ssPv14_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X14 @ X13 @ X12 @
% 22.06/3.77 X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0))),
% 22.06/3.77 inference('sup-', [status(thm)], [zip_derived_cl1617, zip_derived_cl2712])).
% 22.06/3.77 thf(zip_derived_cl2714, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.77 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 22.06/3.77 X14 : $i]:
% 22.06/3.77 (~ (ssPv9_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X14 @ X13 @ X12 @ X11 @
% 22.06/3.77 X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1)
% 22.06/3.77 | ~ (ssPv14_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X14 @ X13 @ X12 @
% 22.06/3.77 X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0))),
% 22.06/3.77 inference('sup-', [status(thm)], [zip_derived_cl1127, zip_derived_cl2713])).
% 22.06/3.77 thf(zip_derived_cl2718, plain,
% 22.06/3.77 (![X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i,
% 22.06/3.77 X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i, X14 : $i]:
% 22.06/3.77 (~ (ssPv14_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X14 @ X13 @ X12 @ X11 @
% 22.06/3.77 X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1)
% 22.06/3.77 | ~ (ssPv9_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X14 @ X13 @ X12 @ X11 @
% 22.06/3.77 X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1))),
% 22.06/3.77 inference('sup-', [status(thm)], [zip_derived_cl1146, zip_derived_cl2714])).
% 22.06/3.77 thf(zip_derived_cl2719, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.77 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 22.06/3.77 (~ (ssPv14_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X13 @ X12 @ X11 @ X10 @
% 22.06/3.77 X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1)
% 22.06/3.77 | ~ (ssPv9_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X13 @ X12 @ X11 @ X10 @
% 22.06/3.77 X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0))),
% 22.06/3.77 inference('sup-', [status(thm)], [zip_derived_cl1025, zip_derived_cl2718])).
% 22.06/3.77 thf(zip_derived_cl2720, plain,
% 22.06/3.77 (![X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i,
% 22.06/3.77 X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 22.06/3.77 (~ (ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X13 @ X12 @ X11 @ X10 @ X9 @
% 22.06/3.77 X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1)
% 22.06/3.77 | ~ (ssPv14_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X13 @ X12 @ X11 @ X10 @
% 22.06/3.77 X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1))),
% 22.06/3.77 inference('sup-', [status(thm)], [zip_derived_cl1015, zip_derived_cl2719])).
% 22.06/3.77 thf(zip_derived_cl2723, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.77 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 22.06/3.77 (~ (ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X12 @ X11 @ X10 @ X9 @ X8 @
% 22.06/3.77 X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1)
% 22.06/3.77 | ~ (ssPv14_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X12 @ X11 @ X10 @ X9 @
% 22.06/3.77 X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0))),
% 22.06/3.77 inference('sup-', [status(thm)], [zip_derived_cl952, zip_derived_cl2720])).
% 22.06/3.77 thf(zip_derived_cl2726, plain,
% 22.06/3.77 (![X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i,
% 22.06/3.77 X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 22.06/3.77 (~ (ssPv14_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X12 @ X11 @ X10 @ X9 @ X8 @
% 22.06/3.77 X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1)
% 22.06/3.77 | ~ (ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X12 @ X11 @ X10 @ X9 @ X8 @
% 22.06/3.77 X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1))),
% 22.06/3.77 inference('sup-', [status(thm)], [zip_derived_cl962, zip_derived_cl2723])).
% 22.06/3.77 thf(zip_derived_cl2727, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.77 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 22.06/3.77 (~ (ssPv14_11r1r1r1r1r1r1r1r1r1r1r1 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @
% 22.06/3.77 X5 @ X4 @ X3 @ X2 @ X1)
% 22.06/3.77 | ~ (ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X11 @ X10 @ X9 @ X8 @ X7 @
% 22.06/3.77 X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0))),
% 22.06/3.77 inference('sup-', [status(thm)], [zip_derived_cl892, zip_derived_cl2726])).
% 22.06/3.77 thf(zip_derived_cl2733, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.77 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 22.06/3.77 ( (ssPv20_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X11 @ X10 @ X9 @ X8 @ X7 @
% 22.06/3.77 X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 22.06/3.77 | ~ (ssPv14_11r1r1r1r1r1r1r1r1r1r1r1 @ X11 @ X10 @ X9 @ X8 @ X7 @
% 22.06/3.77 X6 @ X5 @ X4 @ X3 @ X2 @ X1))),
% 22.06/3.77 inference('sup-', [status(thm)], [zip_derived_cl1786, zip_derived_cl2727])).
% 22.06/3.77 thf(clause207, conjecture,
% 22.06/3.77 (~( ( ssPv20_11r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.77 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) |
% 22.06/3.77 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 22.06/3.77 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 22.06/3.77 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 22.06/3.77 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 22.06/3.77 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 22.06/3.77 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 22.06/3.77 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 22.06/3.77 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 22.06/3.77 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 22.06/3.77 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.77 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 22.06/3.77 ( ~( ssPv20_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.77 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 22.06/3.77 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.77 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) ))).
% 22.06/3.77 thf(zf_stmt_128, negated_conjecture,
% 22.06/3.77 (( ssPv20_11r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.77 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) |
% 22.06/3.77 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 22.06/3.77 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 22.06/3.77 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 22.06/3.77 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 22.06/3.77 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 22.06/3.77 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 22.06/3.77 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 22.06/3.77 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 22.06/3.77 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.77 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 22.06/3.77 ( ~( ssPv20_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.77 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 22.06/3.77 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.77 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) )),
% 22.06/3.77 inference('cnf.neg', [status(esa)], [clause207])).
% 22.06/3.77 thf(zip_derived_cl337, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.77 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 22.06/3.77 ( (ssPv20_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.77 X6 @ X7 @ X8 @ X9 @ X10)
% 22.06/3.77 | ~ (ssNder1_0)
% 22.06/3.77 | ~ (ssNder1_1r1 @ X0)
% 22.06/3.77 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 22.06/3.77 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 22.06/3.77 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 22.06/3.77 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 22.06/3.77 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 22.06/3.77 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 22.06/3.77 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.77 X7)
% 22.06/3.77 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.77 X6 @ X7 @ X8)
% 22.06/3.77 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.77 X6 @ X7 @ X8 @ X9)
% 22.06/3.77 | ~ (ssPv20_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.77 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 22.06/3.77 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.77 X5 @ X6 @ X7 @ X8 @ X9 @ X10))),
% 22.06/3.77 inference('cnf', [status(esa)], [zf_stmt_128])).
% 22.06/3.77 thf(zip_derived_cl543, plain, ( (ssNder1_0)),
% 22.06/3.77 inference('cnf', [status(esa)], [zf_stmt_1])).
% 22.06/3.77 thf(zip_derived_cl549, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 22.06/3.77 inference('demod', [status(thm)], [zip_derived_cl542, zip_derived_cl543])).
% 22.06/3.77 thf(zip_derived_cl550, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl541, zip_derived_cl543, zip_derived_cl549])).
% 22.06/3.77 thf(zip_derived_cl556, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl535, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550])).
% 22.06/3.77 thf(zip_derived_cl574, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 22.06/3.77 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl526, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550, zip_derived_cl556])).
% 22.06/3.77 thf(zip_derived_cl595, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 22.06/3.77 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl512, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574])).
% 22.06/3.77 thf(zip_derived_cl619, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 22.06/3.77 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl497, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.77 zip_derived_cl595])).
% 22.06/3.77 thf(zip_derived_cl646, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 22.06/3.77 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl480, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.77 zip_derived_cl595, zip_derived_cl619])).
% 22.06/3.77 thf(zip_derived_cl677, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 22.06/3.77 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl461, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.77 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646])).
% 22.06/3.77 thf(zip_derived_cl711, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.77 X7 : $i, X8 : $i]:
% 22.06/3.77 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.77 X7 @ X8)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl439, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.77 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.77 zip_derived_cl677])).
% 22.06/3.77 thf(zip_derived_cl763, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.77 X7 : $i, X8 : $i, X9 : $i]:
% 22.06/3.77 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.77 X7 @ X8 @ X9)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl413, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.77 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.77 zip_derived_cl677, zip_derived_cl711])).
% 22.06/3.77 thf(zip_derived_cl807, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.77 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 22.06/3.77 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.77 X6 @ X7 @ X8 @ X9 @ X10)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl390, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.77 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.77 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763])).
% 22.06/3.77 thf(zip_derived_cl875, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.77 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 22.06/3.77 ( (ssPv20_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.77 X6 @ X7 @ X8 @ X9 @ X10)
% 22.06/3.77 | ~ (ssPv20_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.77 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11))),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl337, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.77 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.77 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763,
% 22.06/3.77 zip_derived_cl807])).
% 22.06/3.77 thf(zip_derived_cl2735, plain,
% 22.06/3.77 (![X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i,
% 22.06/3.77 X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 22.06/3.77 (~ (ssPv14_11r1r1r1r1r1r1r1r1r1r1r1 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @
% 22.06/3.77 X5 @ X4 @ X3 @ X2 @ X1)
% 22.06/3.77 | (ssPv20_11r1r1r1r1r1r1r1r1r1r1r1 @ X11 @ X10 @ X9 @ X8 @ X7 @
% 22.06/3.77 X6 @ X5 @ X4 @ X3 @ X2 @ X1))),
% 22.06/3.77 inference('sup-', [status(thm)], [zip_derived_cl2733, zip_derived_cl875])).
% 22.06/3.77 thf(clause168, conjecture,
% 22.06/3.77 (~( ( ssPv20_10r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.77 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) |
% 22.06/3.77 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 22.06/3.77 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 22.06/3.77 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 22.06/3.77 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 22.06/3.77 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 22.06/3.77 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 22.06/3.77 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 22.06/3.77 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 22.06/3.77 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 22.06/3.77 ( ~( ssPv20_11r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.77 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 22.06/3.77 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.77 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) ))).
% 22.06/3.77 thf(zf_stmt_129, negated_conjecture,
% 22.06/3.77 (( ssPv20_10r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.77 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) |
% 22.06/3.77 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 22.06/3.77 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 22.06/3.77 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 22.06/3.77 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 22.06/3.77 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 22.06/3.77 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 22.06/3.77 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 22.06/3.77 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 22.06/3.77 ( ~( ssPv20_11r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.77 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 22.06/3.77 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.77 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) )),
% 22.06/3.77 inference('cnf.neg', [status(esa)], [clause168])).
% 22.06/3.77 thf(zip_derived_cl376, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.77 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 22.06/3.77 ( (ssPv20_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.77 X7 @ X8 @ X9)
% 22.06/3.77 | ~ (ssNder1_0)
% 22.06/3.77 | ~ (ssNder1_1r1 @ X0)
% 22.06/3.77 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 22.06/3.77 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 22.06/3.77 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 22.06/3.77 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 22.06/3.77 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 22.06/3.77 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 22.06/3.77 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.77 X7)
% 22.06/3.77 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.77 X6 @ X7 @ X8)
% 22.06/3.77 | ~ (ssPv20_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.77 X6 @ X7 @ X8 @ X9 @ X10)
% 22.06/3.77 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.77 X6 @ X7 @ X8 @ X9))),
% 22.06/3.77 inference('cnf', [status(esa)], [zf_stmt_129])).
% 22.06/3.77 thf(zip_derived_cl543, plain, ( (ssNder1_0)),
% 22.06/3.77 inference('cnf', [status(esa)], [zf_stmt_1])).
% 22.06/3.77 thf(zip_derived_cl549, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 22.06/3.77 inference('demod', [status(thm)], [zip_derived_cl542, zip_derived_cl543])).
% 22.06/3.77 thf(zip_derived_cl550, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl541, zip_derived_cl543, zip_derived_cl549])).
% 22.06/3.77 thf(zip_derived_cl556, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl535, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550])).
% 22.06/3.77 thf(zip_derived_cl574, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 22.06/3.77 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl526, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550, zip_derived_cl556])).
% 22.06/3.77 thf(zip_derived_cl595, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 22.06/3.77 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl512, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574])).
% 22.06/3.77 thf(zip_derived_cl619, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 22.06/3.77 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl497, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.77 zip_derived_cl595])).
% 22.06/3.77 thf(zip_derived_cl646, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 22.06/3.77 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl480, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.77 zip_derived_cl595, zip_derived_cl619])).
% 22.06/3.77 thf(zip_derived_cl677, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 22.06/3.77 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl461, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.77 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646])).
% 22.06/3.77 thf(zip_derived_cl711, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.77 X7 : $i, X8 : $i]:
% 22.06/3.77 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.77 X7 @ X8)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl439, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.77 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.77 zip_derived_cl677])).
% 22.06/3.77 thf(zip_derived_cl763, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.77 X7 : $i, X8 : $i, X9 : $i]:
% 22.06/3.77 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.77 X7 @ X8 @ X9)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl413, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.77 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.77 zip_derived_cl677, zip_derived_cl711])).
% 22.06/3.77 thf(zip_derived_cl828, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.77 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 22.06/3.77 ( (ssPv20_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.77 X7 @ X8 @ X9)
% 22.06/3.77 | ~ (ssPv20_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.77 X6 @ X7 @ X8 @ X9 @ X10))),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl376, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.77 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.77 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763])).
% 22.06/3.77 thf(zip_derived_cl2737, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.77 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 22.06/3.77 (~ (ssPv14_11r1r1r1r1r1r1r1r1r1r1r1 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @
% 22.06/3.77 X4 @ X3 @ X2 @ X1 @ X0)
% 22.06/3.77 | (ssPv20_10r1r1r1r1r1r1r1r1r1r1 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @
% 22.06/3.77 X4 @ X3 @ X2 @ X1))),
% 22.06/3.77 inference('sup-', [status(thm)], [zip_derived_cl2735, zip_derived_cl828])).
% 22.06/3.77 thf(zip_derived_cl2738, plain,
% 22.06/3.77 (![X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i,
% 22.06/3.77 X8 : $i, X9 : $i, X10 : $i]:
% 22.06/3.77 (~ (ssPv14_10r1r1r1r1r1r1r1r1r1r1 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @
% 22.06/3.77 X4 @ X3 @ X2 @ X1)
% 22.06/3.77 | (ssPv20_10r1r1r1r1r1r1r1r1r1r1 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @
% 22.06/3.77 X4 @ X3 @ X2 @ X1))),
% 22.06/3.77 inference('sup-', [status(thm)], [zip_derived_cl847, zip_derived_cl2737])).
% 22.06/3.77 thf(zip_derived_cl2753, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.77 X7 : $i, X8 : $i, X9 : $i]:
% 22.06/3.77 (~ (ssPv14_9r1r1r1r1r1r1r1r1r1 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @
% 22.06/3.77 X2 @ X1)
% 22.06/3.77 | (ssPv20_10r1r1r1r1r1r1r1r1r1r1 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @
% 22.06/3.77 X3 @ X2 @ X1 @ X0))),
% 22.06/3.77 inference('sup-', [status(thm)], [zip_derived_cl792, zip_derived_cl2738])).
% 22.06/3.77 thf(clause136, conjecture,
% 22.06/3.77 (~( ( ssPv20_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) |
% 22.06/3.77 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 22.06/3.77 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 22.06/3.77 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 22.06/3.77 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 22.06/3.77 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 22.06/3.77 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 22.06/3.77 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 22.06/3.77 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 22.06/3.77 ( ~( ssPv20_10r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.77 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 22.06/3.77 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) ))).
% 22.06/3.77 thf(zf_stmt_130, negated_conjecture,
% 22.06/3.77 (( ssPv20_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) |
% 22.06/3.77 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 22.06/3.77 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 22.06/3.77 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 22.06/3.77 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 22.06/3.77 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 22.06/3.77 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 22.06/3.77 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 22.06/3.77 ( ~( ssPv20_10r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.77 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 22.06/3.77 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) )),
% 22.06/3.77 inference('cnf.neg', [status(esa)], [clause136])).
% 22.06/3.77 thf(zip_derived_cl408, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.77 X7 : $i, X8 : $i, X9 : $i]:
% 22.06/3.77 ( (ssPv20_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.77 X7 @ X8)
% 22.06/3.77 | ~ (ssNder1_0)
% 22.06/3.77 | ~ (ssNder1_1r1 @ X0)
% 22.06/3.77 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 22.06/3.77 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 22.06/3.77 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 22.06/3.77 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 22.06/3.77 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 22.06/3.77 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 22.06/3.77 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.77 X7)
% 22.06/3.77 | ~ (ssPv20_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.77 X6 @ X7 @ X8 @ X9)
% 22.06/3.77 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.77 X6 @ X7 @ X8))),
% 22.06/3.77 inference('cnf', [status(esa)], [zf_stmt_130])).
% 22.06/3.77 thf(zip_derived_cl543, plain, ( (ssNder1_0)),
% 22.06/3.77 inference('cnf', [status(esa)], [zf_stmt_1])).
% 22.06/3.77 thf(zip_derived_cl549, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 22.06/3.77 inference('demod', [status(thm)], [zip_derived_cl542, zip_derived_cl543])).
% 22.06/3.77 thf(zip_derived_cl550, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl541, zip_derived_cl543, zip_derived_cl549])).
% 22.06/3.77 thf(zip_derived_cl556, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl535, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550])).
% 22.06/3.77 thf(zip_derived_cl574, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 22.06/3.77 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl526, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550, zip_derived_cl556])).
% 22.06/3.77 thf(zip_derived_cl595, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 22.06/3.77 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl512, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574])).
% 22.06/3.77 thf(zip_derived_cl619, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 22.06/3.77 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl497, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.77 zip_derived_cl595])).
% 22.06/3.77 thf(zip_derived_cl646, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 22.06/3.77 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl480, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.77 zip_derived_cl595, zip_derived_cl619])).
% 22.06/3.77 thf(zip_derived_cl677, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 22.06/3.77 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl461, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.77 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646])).
% 22.06/3.77 thf(zip_derived_cl711, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.77 X7 : $i, X8 : $i]:
% 22.06/3.77 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.77 X7 @ X8)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl439, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.77 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.77 zip_derived_cl677])).
% 22.06/3.77 thf(zip_derived_cl788, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.77 X7 : $i, X8 : $i, X9 : $i]:
% 22.06/3.77 ( (ssPv20_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.77 X7 @ X8)
% 22.06/3.77 | ~ (ssPv20_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.77 X6 @ X7 @ X8 @ X9))),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl408, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.77 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.77 zip_derived_cl677, zip_derived_cl711])).
% 22.06/3.77 thf(zip_derived_cl2754, plain,
% 22.06/3.77 (![X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i,
% 22.06/3.77 X8 : $i, X9 : $i]:
% 22.06/3.77 (~ (ssPv14_9r1r1r1r1r1r1r1r1r1 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @
% 22.06/3.77 X2 @ X1)
% 22.06/3.77 | (ssPv20_9r1r1r1r1r1r1r1r1r1 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @
% 22.06/3.77 X2 @ X1))),
% 22.06/3.77 inference('sup-', [status(thm)], [zip_derived_cl2753, zip_derived_cl788])).
% 22.06/3.77 thf(zip_derived_cl2755, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.77 X7 : $i, X8 : $i]:
% 22.06/3.77 (~ (ssPv14_8r1r1r1r1r1r1r1r1 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1)
% 22.06/3.77 | (ssPv20_9r1r1r1r1r1r1r1r1r1 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @
% 22.06/3.77 X1 @ X0))),
% 22.06/3.77 inference('sup-', [status(thm)], [zip_derived_cl736, zip_derived_cl2754])).
% 22.06/3.77 thf(clause124, conjecture,
% 22.06/3.77 (~( ( ssPv20_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) |
% 22.06/3.77 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 22.06/3.77 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 22.06/3.77 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 22.06/3.77 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 22.06/3.77 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 22.06/3.77 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 22.06/3.77 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 22.06/3.77 ( ~( ssPv20_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 22.06/3.77 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) ))).
% 22.06/3.77 thf(zf_stmt_131, negated_conjecture,
% 22.06/3.77 (( ssPv20_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) |
% 22.06/3.77 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 22.06/3.77 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 22.06/3.77 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 22.06/3.77 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 22.06/3.77 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 22.06/3.77 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 22.06/3.77 ( ~( ssPv20_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 22.06/3.77 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) )),
% 22.06/3.77 inference('cnf.neg', [status(esa)], [clause124])).
% 22.06/3.77 thf(zip_derived_cl420, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.77 X7 : $i, X8 : $i]:
% 22.06/3.77 ( (ssPv20_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)
% 22.06/3.77 | ~ (ssNder1_0)
% 22.06/3.77 | ~ (ssNder1_1r1 @ X0)
% 22.06/3.77 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 22.06/3.77 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 22.06/3.77 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 22.06/3.77 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 22.06/3.77 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 22.06/3.77 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 22.06/3.77 | ~ (ssPv20_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.77 X7 @ X8)
% 22.06/3.77 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.77 X7))),
% 22.06/3.77 inference('cnf', [status(esa)], [zf_stmt_131])).
% 22.06/3.77 thf(zip_derived_cl543, plain, ( (ssNder1_0)),
% 22.06/3.77 inference('cnf', [status(esa)], [zf_stmt_1])).
% 22.06/3.77 thf(zip_derived_cl549, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 22.06/3.77 inference('demod', [status(thm)], [zip_derived_cl542, zip_derived_cl543])).
% 22.06/3.77 thf(zip_derived_cl550, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl541, zip_derived_cl543, zip_derived_cl549])).
% 22.06/3.77 thf(zip_derived_cl556, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl535, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550])).
% 22.06/3.77 thf(zip_derived_cl574, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 22.06/3.77 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl526, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550, zip_derived_cl556])).
% 22.06/3.77 thf(zip_derived_cl595, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 22.06/3.77 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl512, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574])).
% 22.06/3.77 thf(zip_derived_cl619, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 22.06/3.77 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl497, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.77 zip_derived_cl595])).
% 22.06/3.77 thf(zip_derived_cl646, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 22.06/3.77 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl480, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.77 zip_derived_cl595, zip_derived_cl619])).
% 22.06/3.77 thf(zip_derived_cl677, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 22.06/3.77 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl461, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.77 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646])).
% 22.06/3.77 thf(zip_derived_cl732, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.77 X7 : $i, X8 : $i]:
% 22.06/3.77 ( (ssPv20_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)
% 22.06/3.77 | ~ (ssPv20_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.77 X7 @ X8))),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl420, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.77 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.77 zip_derived_cl677])).
% 22.06/3.77 thf(zip_derived_cl2756, plain,
% 22.06/3.77 (![X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i, X8 : $i]:
% 22.06/3.77 (~ (ssPv14_8r1r1r1r1r1r1r1r1 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1)
% 22.06/3.77 | (ssPv20_8r1r1r1r1r1r1r1r1 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1))),
% 22.06/3.77 inference('sup-', [status(thm)], [zip_derived_cl2755, zip_derived_cl732])).
% 22.06/3.77 thf(zip_derived_cl2757, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 22.06/3.77 (~ (ssPv14_7r1r1r1r1r1r1r1 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1)
% 22.06/3.77 | (ssPv20_8r1r1r1r1r1r1r1r1 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0))),
% 22.06/3.77 inference('sup-', [status(thm)], [zip_derived_cl697, zip_derived_cl2756])).
% 22.06/3.77 thf(clause98, conjecture,
% 22.06/3.77 (~( ( ssPv20_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) |
% 22.06/3.77 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 22.06/3.77 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 22.06/3.77 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 22.06/3.77 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 22.06/3.77 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 22.06/3.77 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 22.06/3.77 ( ~( ssPv20_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 22.06/3.77 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) ))).
% 22.06/3.77 thf(zf_stmt_132, negated_conjecture,
% 22.06/3.77 (( ssPv20_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) |
% 22.06/3.77 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 22.06/3.77 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 22.06/3.77 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 22.06/3.77 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 22.06/3.77 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 22.06/3.77 ( ~( ssPv20_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 22.06/3.77 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) )),
% 22.06/3.77 inference('cnf.neg', [status(esa)], [clause98])).
% 22.06/3.77 thf(zip_derived_cl446, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 22.06/3.77 ( (ssPv20_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 22.06/3.77 | ~ (ssNder1_0)
% 22.06/3.77 | ~ (ssNder1_1r1 @ X0)
% 22.06/3.77 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 22.06/3.77 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 22.06/3.77 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 22.06/3.77 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 22.06/3.77 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 22.06/3.77 | ~ (ssPv20_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)
% 22.06/3.77 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6))),
% 22.06/3.77 inference('cnf', [status(esa)], [zf_stmt_132])).
% 22.06/3.77 thf(zip_derived_cl543, plain, ( (ssNder1_0)),
% 22.06/3.77 inference('cnf', [status(esa)], [zf_stmt_1])).
% 22.06/3.77 thf(zip_derived_cl549, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 22.06/3.77 inference('demod', [status(thm)], [zip_derived_cl542, zip_derived_cl543])).
% 22.06/3.77 thf(zip_derived_cl550, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl541, zip_derived_cl543, zip_derived_cl549])).
% 22.06/3.77 thf(zip_derived_cl556, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl535, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550])).
% 22.06/3.77 thf(zip_derived_cl574, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 22.06/3.77 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl526, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550, zip_derived_cl556])).
% 22.06/3.77 thf(zip_derived_cl595, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 22.06/3.77 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl512, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574])).
% 22.06/3.77 thf(zip_derived_cl619, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 22.06/3.77 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl497, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.77 zip_derived_cl595])).
% 22.06/3.77 thf(zip_derived_cl646, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 22.06/3.77 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl480, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.77 zip_derived_cl595, zip_derived_cl619])).
% 22.06/3.77 thf(zip_derived_cl696, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 22.06/3.77 ( (ssPv20_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 22.06/3.77 | ~ (ssPv20_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7))),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl446, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.77 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646])).
% 22.06/3.77 thf(zip_derived_cl2758, plain,
% 22.06/3.77 (![X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 22.06/3.77 (~ (ssPv14_7r1r1r1r1r1r1r1 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1)
% 22.06/3.77 | (ssPv20_7r1r1r1r1r1r1r1 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1))),
% 22.06/3.77 inference('sup-', [status(thm)], [zip_derived_cl2757, zip_derived_cl696])).
% 22.06/3.77 thf(clause76, conjecture,
% 22.06/3.77 (~( ( ssPv20_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) |
% 22.06/3.77 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 22.06/3.77 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 22.06/3.77 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 22.06/3.77 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 22.06/3.77 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 22.06/3.77 ( ~( ssPv20_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 22.06/3.77 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) ))).
% 22.06/3.77 thf(zf_stmt_133, negated_conjecture,
% 22.06/3.77 (( ssPv20_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) | ( ~( ssNder1_0 ) ) |
% 22.06/3.77 ( ~( ssNder1_1r1 @ U ) ) | ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 22.06/3.77 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 22.06/3.77 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 22.06/3.77 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 22.06/3.77 ( ~( ssPv20_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 22.06/3.77 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) )),
% 22.06/3.77 inference('cnf.neg', [status(esa)], [clause76])).
% 22.06/3.77 thf(zip_derived_cl468, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 22.06/3.77 ( (ssPv20_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 22.06/3.77 | ~ (ssNder1_0)
% 22.06/3.77 | ~ (ssNder1_1r1 @ X0)
% 22.06/3.77 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 22.06/3.77 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 22.06/3.77 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 22.06/3.77 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 22.06/3.77 | ~ (ssPv20_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 22.06/3.77 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5))),
% 22.06/3.77 inference('cnf', [status(esa)], [zf_stmt_133])).
% 22.06/3.77 thf(zip_derived_cl543, plain, ( (ssNder1_0)),
% 22.06/3.77 inference('cnf', [status(esa)], [zf_stmt_1])).
% 22.06/3.77 thf(zip_derived_cl549, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 22.06/3.77 inference('demod', [status(thm)], [zip_derived_cl542, zip_derived_cl543])).
% 22.06/3.77 thf(zip_derived_cl550, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl541, zip_derived_cl543, zip_derived_cl549])).
% 22.06/3.77 thf(zip_derived_cl556, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl535, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550])).
% 22.06/3.77 thf(zip_derived_cl574, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 22.06/3.77 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl526, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550, zip_derived_cl556])).
% 22.06/3.77 thf(zip_derived_cl595, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 22.06/3.77 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl512, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574])).
% 22.06/3.77 thf(zip_derived_cl619, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 22.06/3.77 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl497, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.77 zip_derived_cl595])).
% 22.06/3.77 thf(zip_derived_cl664, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 22.06/3.77 ( (ssPv20_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 22.06/3.77 | ~ (ssPv20_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6))),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl468, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.77 zip_derived_cl595, zip_derived_cl619])).
% 22.06/3.77 thf(zip_derived_cl2759, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 22.06/3.77 (~ (ssPv14_7r1r1r1r1r1r1r1 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 22.06/3.77 | (ssPv20_6r1r1r1r1r1r1 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1))),
% 22.06/3.77 inference('sup-', [status(thm)], [zip_derived_cl2758, zip_derived_cl664])).
% 22.06/3.77 thf(zip_derived_cl2760, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 22.06/3.77 (ssPv20_6r1r1r1r1r1r1 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)),
% 22.06/3.77 inference('sup-', [status(thm)], [zip_derived_cl628, zip_derived_cl2759])).
% 22.06/3.77 thf(zip_derived_cl2762, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 22.06/3.77 (ssPv20_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 22.06/3.77 inference('demod', [status(thm)], [zip_derived_cl665, zip_derived_cl2760])).
% 22.06/3.77 thf(zip_derived_cl2771, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 22.06/3.77 (ssPv20_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 22.06/3.77 inference('demod', [status(thm)], [zip_derived_cl709, zip_derived_cl2762])).
% 22.06/3.77 thf(zip_derived_cl2773, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.77 X7 : $i, X8 : $i]:
% 22.06/3.77 (ssPv20_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.77 X7 @ X8)),
% 22.06/3.77 inference('demod', [status(thm)], [zip_derived_cl761, zip_derived_cl2771])).
% 22.06/3.77 thf(zip_derived_cl2774, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.77 X7 : $i, X8 : $i, X9 : $i]:
% 22.06/3.77 (ssPv20_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.77 X7 @ X8 @ X9)),
% 22.06/3.77 inference('demod', [status(thm)], [zip_derived_cl804, zip_derived_cl2773])).
% 22.06/3.77 thf(zip_derived_cl2775, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.77 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 22.06/3.77 (ssPv20_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.77 X6 @ X7 @ X8 @ X9 @ X10)),
% 22.06/3.77 inference('demod', [status(thm)], [zip_derived_cl831, zip_derived_cl2774])).
% 22.06/3.77 thf(zip_derived_cl2776, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.77 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 22.06/3.77 (ssPv20_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.77 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 22.06/3.77 inference('demod', [status(thm)], [zip_derived_cl909, zip_derived_cl2775])).
% 22.06/3.77 thf(zip_derived_cl2778, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.77 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 22.06/3.77 (ssPv20_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.77 X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 22.06/3.77 inference('demod', [status(thm)], [zip_derived_cl950, zip_derived_cl2776])).
% 22.06/3.77 thf(zip_derived_cl2781, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.77 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 22.06/3.77 (ssPv20_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.77 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl1048, zip_derived_cl2778])).
% 22.06/3.77 thf(zip_derived_cl2782, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.77 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 22.06/3.77 X14 : $i]:
% 22.06/3.77 (ssPv20_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.77 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl1159, zip_derived_cl2781])).
% 22.06/3.77 thf(zip_derived_cl2787, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.77 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 22.06/3.77 X14 : $i]:
% 22.06/3.77 ( (ssPv9_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X14 @ X13 @ X12 @ X11 @
% 22.06/3.77 X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ skc16)
% 22.06/3.77 | ~ (ssPv15_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X14 @ X13 @ X12 @
% 22.06/3.77 X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @
% 22.06/3.77 skc16))),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl2710, zip_derived_cl2782])).
% 22.06/3.77 thf(zip_derived_cl2809, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.77 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 22.06/3.77 X14 : $i]:
% 22.06/3.77 (~ (ssPv15_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X14 @ X13 @ X12 @ X11 @
% 22.06/3.77 X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 22.06/3.77 | (ssPv9_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X14 @ X13 @ X12 @
% 22.06/3.77 X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @
% 22.06/3.77 skc16))),
% 22.06/3.77 inference('sup-', [status(thm)], [zip_derived_cl1588, zip_derived_cl2787])).
% 22.06/3.77 thf(clause351, conjecture,
% 22.06/3.77 (~( ( ssPv9_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.77 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) |
% 22.06/3.77 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 22.06/3.77 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 22.06/3.77 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 22.06/3.77 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 22.06/3.77 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 22.06/3.77 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 22.06/3.77 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 22.06/3.77 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 22.06/3.77 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 22.06/3.77 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.77 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 22.06/3.77 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.77 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 22.06/3.77 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.77 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 22.06/3.77 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.77 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 22.06/3.77 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.77 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 22.06/3.77 ( ~( ssPv9_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.77 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 22.06/3.77 X9 @ X10 ) ) |
% 22.06/3.77 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.77 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) ))).
% 22.06/3.77 thf(zf_stmt_134, negated_conjecture,
% 22.06/3.77 (( ssPv9_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.77 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) |
% 22.06/3.77 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 22.06/3.77 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 22.06/3.77 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 22.06/3.77 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 22.06/3.77 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 22.06/3.77 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 22.06/3.77 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 22.06/3.77 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 22.06/3.77 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.77 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 22.06/3.77 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.77 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 22.06/3.77 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.77 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 22.06/3.77 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.77 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 22.06/3.77 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.77 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 22.06/3.77 ( ~( ssPv9_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.77 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 22.06/3.77 X10 ) ) |
% 22.06/3.77 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 22.06/3.77 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) )),
% 22.06/3.77 inference('cnf.neg', [status(esa)], [clause351])).
% 22.06/3.77 thf(zip_derived_cl193, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.77 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 22.06/3.77 X14 : $i, X15 : $i]:
% 22.06/3.77 ( (ssPv9_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.77 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 22.06/3.77 | ~ (ssNder1_0)
% 22.06/3.77 | ~ (ssNder1_1r1 @ X0)
% 22.06/3.77 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 22.06/3.77 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 22.06/3.77 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 22.06/3.77 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 22.06/3.77 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 22.06/3.77 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 22.06/3.77 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.77 X7)
% 22.06/3.77 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.77 X6 @ X7 @ X8)
% 22.06/3.77 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.77 X6 @ X7 @ X8 @ X9)
% 22.06/3.77 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.77 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 22.06/3.77 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.77 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 22.06/3.77 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.77 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 22.06/3.77 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 22.06/3.77 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 22.06/3.77 | ~ (ssPv9_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 22.06/3.77 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15)
% 22.06/3.77 | ~ (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 22.06/3.77 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14))),
% 22.06/3.77 inference('cnf', [status(esa)], [zf_stmt_134])).
% 22.06/3.77 thf(zip_derived_cl543, plain, ( (ssNder1_0)),
% 22.06/3.77 inference('cnf', [status(esa)], [zf_stmt_1])).
% 22.06/3.77 thf(zip_derived_cl549, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 22.06/3.77 inference('demod', [status(thm)], [zip_derived_cl542, zip_derived_cl543])).
% 22.06/3.77 thf(zip_derived_cl550, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl541, zip_derived_cl543, zip_derived_cl549])).
% 22.06/3.77 thf(zip_derived_cl556, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl535, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550])).
% 22.06/3.77 thf(zip_derived_cl574, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 22.06/3.77 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl526, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550, zip_derived_cl556])).
% 22.06/3.77 thf(zip_derived_cl595, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 22.06/3.77 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl512, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574])).
% 22.06/3.77 thf(zip_derived_cl619, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 22.06/3.77 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl497, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.77 zip_derived_cl595])).
% 22.06/3.77 thf(zip_derived_cl646, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 22.06/3.77 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl480, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.77 zip_derived_cl595, zip_derived_cl619])).
% 22.06/3.77 thf(zip_derived_cl677, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 22.06/3.77 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl461, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.77 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646])).
% 22.06/3.77 thf(zip_derived_cl711, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.77 X7 : $i, X8 : $i]:
% 22.06/3.77 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.77 X7 @ X8)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl439, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.77 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.77 zip_derived_cl677])).
% 22.06/3.77 thf(zip_derived_cl763, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.77 X7 : $i, X8 : $i, X9 : $i]:
% 22.06/3.77 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 22.06/3.77 X7 @ X8 @ X9)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl413, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.77 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.77 zip_derived_cl677, zip_derived_cl711])).
% 22.06/3.77 thf(zip_derived_cl807, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.77 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 22.06/3.77 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.77 X6 @ X7 @ X8 @ X9 @ X10)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl390, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.77 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.77 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763])).
% 22.06/3.77 thf(zip_derived_cl857, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.77 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 22.06/3.77 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.77 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl363, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.77 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.77 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763,
% 22.06/3.77 zip_derived_cl807])).
% 22.06/3.77 thf(zip_derived_cl911, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.77 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 22.06/3.77 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.77 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl334, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.77 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.77 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763,
% 22.06/3.77 zip_derived_cl807, zip_derived_cl857])).
% 22.06/3.77 thf(zip_derived_cl969, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.77 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 22.06/3.77 (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.77 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl300, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.77 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.77 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763,
% 22.06/3.77 zip_derived_cl807, zip_derived_cl857, zip_derived_cl911])).
% 22.06/3.77 thf(zip_derived_cl1050, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.77 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 22.06/3.77 X14 : $i]:
% 22.06/3.77 (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.77 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl260, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.77 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.77 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763,
% 22.06/3.77 zip_derived_cl807, zip_derived_cl857, zip_derived_cl911,
% 22.06/3.77 zip_derived_cl969])).
% 22.06/3.77 thf(zip_derived_cl1444, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.77 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 22.06/3.77 X14 : $i, X15 : $i]:
% 22.06/3.77 ( (ssPv9_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.77 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 22.06/3.77 | ~ (ssPv9_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 22.06/3.77 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15))),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl193, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.77 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.77 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763,
% 22.06/3.77 zip_derived_cl807, zip_derived_cl857, zip_derived_cl911,
% 22.06/3.77 zip_derived_cl969, zip_derived_cl1050])).
% 22.06/3.77 thf(zip_derived_cl2831, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.77 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 22.06/3.77 X14 : $i]:
% 22.06/3.77 (~ (ssPv15_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X14 @ X13 @ X12 @ X11 @
% 22.06/3.77 X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 22.06/3.77 | (ssPv9_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X14 @ X13 @ X12 @ X11 @
% 22.06/3.77 X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0))),
% 22.06/3.77 inference('sup-', [status(thm)], [zip_derived_cl2809, zip_derived_cl1444])).
% 22.06/3.77 thf(zip_derived_cl1112, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.77 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 22.06/3.77 X14 : $i]:
% 22.06/3.77 ( (ssPv9_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.77 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 22.06/3.77 | ~ (ssPv9_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 22.06/3.77 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14))),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl241, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.77 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.77 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763,
% 22.06/3.77 zip_derived_cl807, zip_derived_cl857, zip_derived_cl911,
% 22.06/3.77 zip_derived_cl969])).
% 22.06/3.77 thf(zip_derived_cl2839, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.77 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 22.06/3.77 X14 : $i]:
% 22.06/3.77 (~ (ssPv15_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X14 @ X13 @ X12 @ X11 @
% 22.06/3.77 X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 22.06/3.77 | (ssPv9_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X14 @ X13 @ X12 @ X11 @
% 22.06/3.77 X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1))),
% 22.06/3.77 inference('sup-', [status(thm)], [zip_derived_cl2831, zip_derived_cl1112])).
% 22.06/3.77 thf(zip_derived_cl2842, plain,
% 22.06/3.77 (![X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i,
% 22.06/3.77 X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i, X14 : $i]:
% 22.06/3.77 (~ (ssPv15_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X14 @ X13 @ X12 @ X11 @
% 22.06/3.77 X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1)
% 22.06/3.77 | (ssPv9_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X14 @ X13 @ X12 @ X11 @
% 22.06/3.77 X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1))),
% 22.06/3.77 inference('sup-', [status(thm)], [zip_derived_cl1148, zip_derived_cl2839])).
% 22.06/3.77 thf(zip_derived_cl983, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.77 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 22.06/3.77 ( (ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 22.06/3.77 X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 22.06/3.77 | ~ (ssPv9_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 22.06/3.77 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13))),
% 22.06/3.77 inference('demod', [status(thm)],
% 22.06/3.77 [zip_derived_cl262, zip_derived_cl543, zip_derived_cl549,
% 22.06/3.77 zip_derived_cl550, zip_derived_cl556, zip_derived_cl574,
% 22.06/3.77 zip_derived_cl595, zip_derived_cl619, zip_derived_cl646,
% 22.06/3.77 zip_derived_cl677, zip_derived_cl711, zip_derived_cl763,
% 22.06/3.77 zip_derived_cl807, zip_derived_cl857, zip_derived_cl911])).
% 22.06/3.77 thf(zip_derived_cl2843, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.77 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 22.06/3.77 (~ (ssPv15_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X13 @ X12 @ X11 @ X10 @
% 22.06/3.77 X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 22.06/3.77 | (ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X13 @ X12 @ X11 @ X10 @
% 22.06/3.77 X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1))),
% 22.06/3.77 inference('sup-', [status(thm)], [zip_derived_cl2842, zip_derived_cl983])).
% 22.06/3.77 thf(zip_derived_cl2846, plain,
% 22.06/3.77 (![X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i,
% 22.06/3.77 X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 22.06/3.77 (~ (ssPv15_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X13 @ X12 @ X11 @ X10 @
% 22.06/3.77 X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1)
% 22.06/3.77 | (ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X13 @ X12 @ X11 @ X10 @
% 22.06/3.77 X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1))),
% 22.06/3.77 inference('sup-', [status(thm)], [zip_derived_cl1038, zip_derived_cl2843])).
% 22.06/3.77 thf(zip_derived_cl2720, plain,
% 22.06/3.77 (![X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i,
% 22.06/3.77 X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 22.06/3.77 (~ (ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X13 @ X12 @ X11 @ X10 @ X9 @
% 22.06/3.77 X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1)
% 22.06/3.77 | ~ (ssPv14_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X13 @ X12 @ X11 @ X10 @
% 22.06/3.77 X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1))),
% 22.06/3.77 inference('sup-', [status(thm)], [zip_derived_cl1015, zip_derived_cl2719])).
% 22.06/3.77 thf(zip_derived_cl2849, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.77 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 22.06/3.77 (~ (ssPv15_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X12 @ X11 @ X10 @ X9 @ X8 @
% 22.06/3.77 X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 22.06/3.77 | ~ (ssPv14_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X12 @ X11 @ X10 @ X9 @
% 22.06/3.77 X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0))),
% 22.06/3.77 inference('sup-', [status(thm)], [zip_derived_cl2846, zip_derived_cl2720])).
% 22.06/3.77 thf(zip_derived_cl2867, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.77 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 22.06/3.77 (~ (ssPv15_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X12 @ X11 @ X10 @ X9 @ X8 @
% 22.06/3.77 X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1)
% 22.06/3.77 | ~ (ssPv14_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X12 @ X11 @ X10 @ X9 @
% 22.06/3.77 X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0))),
% 22.06/3.77 inference('sup-', [status(thm)], [zip_derived_cl967, zip_derived_cl2849])).
% 22.06/3.77 thf(zip_derived_cl2870, plain,
% 22.06/3.77 (![X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i,
% 22.06/3.77 X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 22.06/3.77 (~ (ssPv14_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X12 @ X11 @ X10 @ X9 @ X8 @
% 22.06/3.77 X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1)
% 22.06/3.77 | ~ (ssPv15_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X12 @ X11 @ X10 @ X9 @ X8 @
% 22.06/3.77 X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1))),
% 22.06/3.77 inference('sup-', [status(thm)], [zip_derived_cl962, zip_derived_cl2867])).
% 22.06/3.77 thf(zip_derived_cl2871, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.77 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 22.06/3.77 (~ (ssPv14_11r1r1r1r1r1r1r1r1r1r1r1 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @
% 22.06/3.77 X5 @ X4 @ X3 @ X2 @ X1)
% 22.06/3.77 | ~ (ssPv15_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X11 @ X10 @ X9 @ X8 @ X7 @
% 22.06/3.77 X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0))),
% 22.06/3.77 inference('sup-', [status(thm)], [zip_derived_cl892, zip_derived_cl2870])).
% 22.06/3.77 thf(zip_derived_cl2872, plain,
% 22.06/3.77 (![X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i,
% 22.06/3.77 X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 22.06/3.77 (~ (ssPv15_11r1r1r1r1r1r1r1r1r1r1r1 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @
% 22.06/3.77 X5 @ X4 @ X3 @ X2 @ X1)
% 22.06/3.77 | ~ (ssPv14_11r1r1r1r1r1r1r1r1r1r1r1 @ X11 @ X10 @ X9 @ X8 @ X7 @
% 22.06/3.77 X6 @ X5 @ X4 @ X3 @ X2 @ X1))),
% 22.06/3.77 inference('sup-', [status(thm)], [zip_derived_cl894, zip_derived_cl2871])).
% 22.06/3.77 thf(zip_derived_cl2875, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.77 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 22.06/3.77 (~ (ssPv15_10r1r1r1r1r1r1r1r1r1r1 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @
% 22.06/3.77 X4 @ X3 @ X2 @ X1)
% 22.06/3.77 | ~ (ssPv14_11r1r1r1r1r1r1r1r1r1r1r1 @ X10 @ X9 @ X8 @ X7 @ X6 @
% 22.06/3.77 X5 @ X4 @ X3 @ X2 @ X1 @ X0))),
% 22.06/3.77 inference('sup-', [status(thm)], [zip_derived_cl849, zip_derived_cl2872])).
% 22.06/3.77 thf(zip_derived_cl2885, plain,
% 22.06/3.77 (![X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i,
% 22.06/3.77 X8 : $i, X9 : $i, X10 : $i]:
% 22.06/3.77 (~ (ssPv14_10r1r1r1r1r1r1r1r1r1r1 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @
% 22.06/3.77 X4 @ X3 @ X2 @ X1)
% 22.06/3.77 | ~ (ssPv15_10r1r1r1r1r1r1r1r1r1r1 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @
% 22.06/3.77 X4 @ X3 @ X2 @ X1))),
% 22.06/3.77 inference('sup-', [status(thm)], [zip_derived_cl847, zip_derived_cl2875])).
% 22.06/3.77 thf(zip_derived_cl2886, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.77 X7 : $i, X8 : $i, X9 : $i]:
% 22.06/3.77 (~ (ssPv14_9r1r1r1r1r1r1r1r1r1 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @
% 22.06/3.77 X2 @ X1)
% 22.06/3.77 | ~ (ssPv15_10r1r1r1r1r1r1r1r1r1r1 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @
% 22.06/3.77 X3 @ X2 @ X1 @ X0))),
% 22.06/3.77 inference('sup-', [status(thm)], [zip_derived_cl792, zip_derived_cl2885])).
% 22.06/3.77 thf(zip_derived_cl2887, plain,
% 22.06/3.77 (![X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i,
% 22.06/3.77 X8 : $i, X9 : $i]:
% 22.06/3.77 (~ (ssPv15_9r1r1r1r1r1r1r1r1r1 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @
% 22.06/3.77 X2 @ X1)
% 22.06/3.77 | ~ (ssPv14_9r1r1r1r1r1r1r1r1r1 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @
% 22.06/3.77 X2 @ X1))),
% 22.06/3.77 inference('sup-', [status(thm)], [zip_derived_cl794, zip_derived_cl2886])).
% 22.06/3.77 thf(zip_derived_cl2888, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.06/3.77 X7 : $i, X8 : $i]:
% 22.06/3.77 (~ (ssPv15_8r1r1r1r1r1r1r1r1 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1)
% 22.06/3.77 | ~ (ssPv14_9r1r1r1r1r1r1r1r1r1 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @
% 22.06/3.77 X1 @ X0))),
% 22.06/3.77 inference('sup-', [status(thm)], [zip_derived_cl751, zip_derived_cl2887])).
% 22.06/3.77 thf(zip_derived_cl2889, plain,
% 22.06/3.77 (![X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i, X8 : $i]:
% 22.06/3.77 (~ (ssPv14_8r1r1r1r1r1r1r1r1 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1)
% 22.06/3.77 | ~ (ssPv15_8r1r1r1r1r1r1r1r1 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1))),
% 22.06/3.77 inference('sup-', [status(thm)], [zip_derived_cl736, zip_derived_cl2888])).
% 22.06/3.77 thf(zip_derived_cl2890, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 22.06/3.77 (~ (ssPv14_7r1r1r1r1r1r1r1 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1)
% 22.06/3.77 | ~ (ssPv15_8r1r1r1r1r1r1r1r1 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0))),
% 22.06/3.77 inference('sup-', [status(thm)], [zip_derived_cl697, zip_derived_cl2889])).
% 22.06/3.77 thf(zip_derived_cl2891, plain,
% 22.06/3.77 (![X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 22.06/3.77 (~ (ssPv15_7r1r1r1r1r1r1r1 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1)
% 22.06/3.77 | ~ (ssPv14_7r1r1r1r1r1r1r1 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1))),
% 22.06/3.77 inference('sup-', [status(thm)], [zip_derived_cl699, zip_derived_cl2890])).
% 22.06/3.77 thf(zip_derived_cl2892, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 22.06/3.77 (~ (ssPv15_6r1r1r1r1r1r1 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1)
% 22.06/3.77 | ~ (ssPv14_7r1r1r1r1r1r1r1 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0))),
% 22.06/3.77 inference('sup-', [status(thm)], [zip_derived_cl667, zip_derived_cl2891])).
% 22.06/3.77 thf(zip_derived_cl2893, plain,
% 22.06/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 22.06/3.77 ~ (ssPv15_6r1r1r1r1r1r1 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)),
% 22.06/3.77 inference('sup-', [status(thm)], [zip_derived_cl628, zip_derived_cl2892])).
% 22.06/3.77 thf(zip_derived_cl2900, plain, ($false),
% 22.06/3.77 inference('sup-', [status(thm)], [zip_derived_cl604, zip_derived_cl2893])).
% 22.06/3.77
% 22.06/3.77 % SZS output end Refutation
% 22.06/3.77
% 22.06/3.77
% 22.06/3.77 % /export/starexec/sandbox/solver/bin/fo/fo1_lcnf.sh running for 50s
% 22.06/3.77 % /export/starexec/sandbox/solver/bin/fo/fo17_bce.sh running for 50s
% 22.06/3.77 % Terminating...
% 22.55/3.89 % Runner terminated.
% 22.55/3.91 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------