TSTP Solution File: SYN820-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYN820-1 : 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.7nDJigqQk1 true
% Computer : n018.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 04:05:37 EDT 2023
% Result : Unsatisfiable 16.01s 2.90s
% Output : Refutation 16.01s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SYN820-1 : 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.7nDJigqQk1 true
% 0.14/0.35 % Computer : n018.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sat Aug 26 16:56:45 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.36 % Running in FO mode
% 0.22/0.66 % Total configuration time : 435
% 0.22/0.66 % Estimated wc time : 1092
% 0.22/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.73 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.74 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.74 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.75 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.75 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.76 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.22/0.76 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 16.01/2.90 % Solved by fo/fo1_av.sh.
% 16.01/2.90 % done 1481 iterations in 1.872s
% 16.01/2.90 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 16.01/2.90 % SZS output start Refutation
% 16.01/2.90 thf(ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 16.01/2.90 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 16.01/2.90 thf(ssNder1_1r1_type, type, ssNder1_1r1: $i > $o).
% 16.01/2.90 thf(ssNder1_9r1r1r1r1r1r1r1r1r1_type, type, ssNder1_9r1r1r1r1r1r1r1r1r1:
% 16.01/2.90 $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 16.01/2.90 thf(ssPv17_4r1r1r1r1_type, type, ssPv17_4r1r1r1r1: $i > $i > $i > $i > $o).
% 16.01/2.90 thf(ssNder1_11r1r1r1r1r1r1r1r1r1r1r1_type, type, ssNder1_11r1r1r1r1r1r1r1r1r1r1r1:
% 16.01/2.90 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 16.01/2.90 thf(ssNder1_6r1r1r1r1r1r1_type, type, ssNder1_6r1r1r1r1r1r1: $i > $i > $i >
% 16.01/2.90 $i > $i > $i > $o).
% 16.01/2.90 thf(ssPv16_6r1r1r1r1r1r1_type, type, ssPv16_6r1r1r1r1r1r1: $i > $i > $i >
% 16.01/2.90 $i > $i > $i > $o).
% 16.01/2.90 thf(ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1:
% 16.01/2.90 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 16.01/2.90 thf(ssNder1_5r1r1r1r1r1_type, type, ssNder1_5r1r1r1r1r1: $i > $i > $i > $i >
% 16.01/2.90 $i > $o).
% 16.01/2.90 thf(ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 16.01/2.90 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 16.01/2.90 thf(ssNder1_7r1r1r1r1r1r1r1_type, type, ssNder1_7r1r1r1r1r1r1r1: $i > $i >
% 16.01/2.90 $i > $i >
% 16.01/2.90 $i > $i > $i > $o).
% 16.01/2.90 thf(ssPv4_10r1r1r1r1r1r1r1r1r1r1_type, type, ssPv4_10r1r1r1r1r1r1r1r1r1r1:
% 16.01/2.90 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 16.01/2.90 thf(ssPv13_9r1r1r1r1r1r1r1r1r1_type, type, ssPv13_9r1r1r1r1r1r1r1r1r1:
% 16.01/2.90 $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 16.01/2.90 thf(ssPv16_10r1r1r1r1r1r1r1r1r1r1_type, type, ssPv16_10r1r1r1r1r1r1r1r1r1r1:
% 16.01/2.90 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 16.01/2.90 thf(ssNder1_8r1r1r1r1r1r1r1r1_type, type, ssNder1_8r1r1r1r1r1r1r1r1:
% 16.01/2.90 $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 16.01/2.90 thf(ssPv13_10r1r1r1r1r1r1r1r1r1r1_type, type, ssPv13_10r1r1r1r1r1r1r1r1r1r1:
% 16.01/2.90 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 16.01/2.90 thf(ssPv17_5r1r1r1r1r1_type, type, ssPv17_5r1r1r1r1r1: $i > $i > $i > $i > $i > $o).
% 16.01/2.90 thf(ssPv14_10r1r1r1r1r1r1r1r1r1r1_type, type, ssPv14_10r1r1r1r1r1r1r1r1r1r1:
% 16.01/2.90 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 16.01/2.90 thf(ssPv16_5r1r1r1r1r1_type, type, ssPv16_5r1r1r1r1r1: $i > $i > $i > $i > $i > $o).
% 16.01/2.90 thf(skc27_type, type, skc27: $i).
% 16.01/2.90 thf(skc31_type, type, skc31: $i).
% 16.01/2.90 thf(skc20_type, type, skc20: $i).
% 16.01/2.90 thf(ssPv13_8r1r1r1r1r1r1r1r1_type, type, ssPv13_8r1r1r1r1r1r1r1r1: $i > $i >
% 16.01/2.90 $i > $i >
% 16.01/2.90 $i > $i >
% 16.01/2.90 $i > $i > $o).
% 16.01/2.90 thf(ssPv17_9r1r1r1r1r1r1r1r1r1_type, type, ssPv17_9r1r1r1r1r1r1r1r1r1:
% 16.01/2.90 $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 16.01/2.90 thf(ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 16.01/2.90 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 16.01/2.90 thf(ssPv15_10r1r1r1r1r1r1r1r1r1r1_type, type, ssPv15_10r1r1r1r1r1r1r1r1r1r1:
% 16.01/2.90 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 16.01/2.90 thf(ssPv15_6r1r1r1r1r1r1_type, type, ssPv15_6r1r1r1r1r1r1: $i > $i > $i >
% 16.01/2.90 $i > $i > $i > $o).
% 16.01/2.90 thf(skc29_type, type, skc29: $i).
% 16.01/2.90 thf(ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1:
% 16.01/2.90 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 16.01/2.90 thf(ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 16.01/2.90 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 16.01/2.90 thf(ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 16.01/2.90 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 16.01/2.90 thf(ssNder1_10r1r1r1r1r1r1r1r1r1r1_type, type, ssNder1_10r1r1r1r1r1r1r1r1r1r1:
% 16.01/2.90 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 16.01/2.90 thf(ssNder1_3r1r1r1_type, type, ssNder1_3r1r1r1: $i > $i > $i > $o).
% 16.01/2.90 thf(ssPv15_7r1r1r1r1r1r1r1_type, type, ssPv15_7r1r1r1r1r1r1r1: $i > $i >
% 16.01/2.90 $i > $i >
% 16.01/2.90 $i > $i > $i > $o).
% 16.01/2.90 thf(skc25_type, type, skc25: $i).
% 16.01/2.90 thf(ssPv17_8r1r1r1r1r1r1r1r1_type, type, ssPv17_8r1r1r1r1r1r1r1r1: $i > $i >
% 16.01/2.90 $i > $i >
% 16.01/2.90 $i > $i >
% 16.01/2.90 $i > $i > $o).
% 16.01/2.90 thf(ssPv11_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssPv11_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 16.01/2.90 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 16.01/2.90 thf(ssPv17_7r1r1r1r1r1r1r1_type, type, ssPv17_7r1r1r1r1r1r1r1: $i > $i >
% 16.01/2.90 $i > $i >
% 16.01/2.90 $i > $i > $i > $o).
% 16.01/2.90 thf(ssPv16_9r1r1r1r1r1r1r1r1r1_type, type, ssPv16_9r1r1r1r1r1r1r1r1r1:
% 16.01/2.90 $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 16.01/2.90 thf(ssPv16_7r1r1r1r1r1r1r1_type, type, ssPv16_7r1r1r1r1r1r1r1: $i > $i >
% 16.01/2.90 $i > $i >
% 16.01/2.90 $i > $i > $i > $o).
% 16.01/2.90 thf(ssPv15_8r1r1r1r1r1r1r1r1_type, type, ssPv15_8r1r1r1r1r1r1r1r1: $i > $i >
% 16.01/2.90 $i > $i >
% 16.01/2.90 $i > $i >
% 16.01/2.90 $i > $i > $o).
% 16.01/2.90 thf(skc18_type, type, skc18: $i).
% 16.01/2.90 thf(ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1:
% 16.01/2.90 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 16.01/2.90 thf(ssPv14_8r1r1r1r1r1r1r1r1_type, type, ssPv14_8r1r1r1r1r1r1r1r1: $i > $i >
% 16.01/2.90 $i > $i >
% 16.01/2.90 $i > $i >
% 16.01/2.90 $i > $i > $o).
% 16.01/2.90 thf(ssPv17_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssPv17_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 16.01/2.90 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 16.01/2.90 thf(ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 16.01/2.90 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 16.01/2.90 thf(ssNder1_0_type, type, ssNder1_0: $o).
% 16.01/2.90 thf(ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 16.01/2.90 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 16.01/2.90 thf(ssPv15_9r1r1r1r1r1r1r1r1r1_type, type, ssPv15_9r1r1r1r1r1r1r1r1r1:
% 16.01/2.90 $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 16.01/2.90 thf(ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 16.01/2.90 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 16.01/2.90 thf(ssNder1_4r1r1r1r1_type, type, ssNder1_4r1r1r1r1: $i > $i > $i > $i > $o).
% 16.01/2.90 thf(ssPv14_9r1r1r1r1r1r1r1r1r1_type, type, ssPv14_9r1r1r1r1r1r1r1r1r1:
% 16.01/2.90 $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 16.01/2.90 thf(ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 16.01/2.90 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 16.01/2.90 thf(ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 16.01/2.90 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 16.01/2.90 thf(ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 16.01/2.90 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 16.01/2.90 thf(skc21_type, type, skc21: $i).
% 16.01/2.90 thf(ssPv16_8r1r1r1r1r1r1r1r1_type, type, ssPv16_8r1r1r1r1r1r1r1r1: $i > $i >
% 16.01/2.90 $i > $i >
% 16.01/2.90 $i > $i >
% 16.01/2.90 $i > $i > $o).
% 16.01/2.90 thf(ssPv17_10r1r1r1r1r1r1r1r1r1r1_type, type, ssPv17_10r1r1r1r1r1r1r1r1r1r1:
% 16.01/2.90 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 16.01/2.90 thf(ssPv11_11r1r1r1r1r1r1r1r1r1r1r1_type, type, ssPv11_11r1r1r1r1r1r1r1r1r1r1r1:
% 16.01/2.90 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 16.01/2.90 thf(ssPv11_10r1r1r1r1r1r1r1r1r1r1_type, type, ssPv11_10r1r1r1r1r1r1r1r1r1r1:
% 16.01/2.90 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 16.01/2.90 thf(ssNder1_2r1r1_type, type, ssNder1_2r1r1: $i > $i > $o).
% 16.01/2.90 thf(ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1:
% 16.01/2.90 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 16.01/2.90 thf(ssPv16_11r1r1r1r1r1r1r1r1r1r1r1_type, type, ssPv16_11r1r1r1r1r1r1r1r1r1r1r1:
% 16.01/2.90 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 16.01/2.90 thf(ssPv14_7r1r1r1r1r1r1r1_type, type, ssPv14_7r1r1r1r1r1r1r1: $i > $i >
% 16.01/2.90 $i > $i >
% 16.01/2.90 $i > $i > $i > $o).
% 16.01/2.90 thf(ssPv17_6r1r1r1r1r1r1_type, type, ssPv17_6r1r1r1r1r1r1: $i > $i > $i >
% 16.01/2.90 $i > $i > $i > $o).
% 16.01/2.90 thf(ssPv17_11r1r1r1r1r1r1r1r1r1r1r1_type, type, ssPv17_11r1r1r1r1r1r1r1r1r1r1r1:
% 16.01/2.90 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 16.01/2.90 thf(clause21, conjecture,
% 16.01/2.90 (~( ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 16.01/2.90 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 16.01/2.90 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 16.01/2.90 ( ~( ssPv16_5r1r1r1r1r1 @ U @ V @ W @ X @ skc31 ) ) ))).
% 16.01/2.90 thf(zf_stmt_0, negated_conjecture,
% 16.01/2.90 (( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 16.01/2.90 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 16.01/2.90 ( ~( ssPv16_5r1r1r1r1r1 @ U @ V @ W @ X @ skc31 ) )),
% 16.01/2.90 inference('cnf.neg', [status(esa)], [clause21])).
% 16.01/2.90 thf(zip_derived_cl20, plain,
% 16.01/2.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 16.01/2.90 (~ (ssNder1_0)
% 16.01/2.90 | ~ (ssNder1_1r1 @ X0)
% 16.01/2.90 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.90 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.90 | ~ (ssPv16_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ skc31))),
% 16.01/2.90 inference('cnf', [status(esa)], [zf_stmt_0])).
% 16.01/2.90 thf(zip_derived_cl582, plain,
% 16.01/2.90 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 16.01/2.90 (~ (ssNder1_1r1 @ X0)
% 16.01/2.90 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.90 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.90 | ~ (ssPv16_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ skc31)))
% 16.01/2.90 <= ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 16.01/2.90 (~ (ssNder1_1r1 @ X0)
% 16.01/2.90 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.90 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.90 | ~ (ssPv16_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ skc31))))),
% 16.01/2.90 inference('split', [status(esa)], [zip_derived_cl20])).
% 16.01/2.90 thf(clause2, conjecture, (~( ( ssNder1_1r1 @ U ) | ( ~( ssNder1_0 ) ) ))).
% 16.01/2.90 thf(zf_stmt_1, negated_conjecture,
% 16.01/2.90 (( ssNder1_1r1 @ U ) | ( ~( ssNder1_0 ) )),
% 16.01/2.90 inference('cnf.neg', [status(esa)], [clause2])).
% 16.01/2.90 thf(zip_derived_cl1, plain,
% 16.01/2.90 (![X0 : $i]: ( (ssNder1_1r1 @ X0) | ~ (ssNder1_0))),
% 16.01/2.90 inference('cnf', [status(esa)], [zf_stmt_1])).
% 16.01/2.90 thf(zip_derived_cl544, plain,
% 16.01/2.90 ((![X0 : $i]: (ssNder1_1r1 @ X0)) <= ((![X0 : $i]: (ssNder1_1r1 @ X0)))),
% 16.01/2.90 inference('split', [status(esa)], [zip_derived_cl1])).
% 16.01/2.90 thf(zip_derived_cl545, plain, ((~ (ssNder1_0)) <= (~ ( (ssNder1_0)))),
% 16.01/2.90 inference('split', [status(esa)], [zip_derived_cl1])).
% 16.01/2.90 thf(clause1, conjecture, (~( ssNder1_0 ))).
% 16.01/2.90 thf(zf_stmt_2, negated_conjecture, (ssNder1_0),
% 16.01/2.90 inference('cnf.neg', [status(esa)], [clause1])).
% 16.01/2.90 thf(zip_derived_cl0, plain, ( (ssNder1_0)),
% 16.01/2.90 inference('cnf', [status(esa)], [zf_stmt_2])).
% 16.01/2.90 thf('0', plain, (( (ssNder1_0))),
% 16.01/2.90 inference('demod', [status(thm)], [zip_derived_cl545, zip_derived_cl0])).
% 16.01/2.90 thf('1', plain, ((![X0 : $i]: (ssNder1_1r1 @ X0)) | ~ ( (ssNder1_0))),
% 16.01/2.90 inference('split', [status(esa)], [zip_derived_cl1])).
% 16.01/2.90 thf('2', plain, ((![X0 : $i]: (ssNder1_1r1 @ X0))),
% 16.01/2.90 inference('sat_resolution*', [status(thm)], ['0', '1'])).
% 16.01/2.90 thf(zip_derived_cl1634, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 16.01/2.90 inference('simpl_trail', [status(thm)], [zip_derived_cl544, '2'])).
% 16.01/2.90 thf(clause3, conjecture,
% 16.01/2.90 (~( ( ssNder1_2r1r1 @ U @ V ) | ( ~( ssNder1_0 ) ) |
% 16.01/2.90 ( ~( ssNder1_1r1 @ U ) ) ))).
% 16.01/2.90 thf(zf_stmt_3, negated_conjecture,
% 16.01/2.90 (( ssNder1_2r1r1 @ U @ V ) | ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) )),
% 16.01/2.90 inference('cnf.neg', [status(esa)], [clause3])).
% 16.01/2.90 thf(zip_derived_cl2, plain,
% 16.01/2.90 (![X0 : $i, X1 : $i]:
% 16.01/2.90 ( (ssNder1_2r1r1 @ X0 @ X1) | ~ (ssNder1_0) | ~ (ssNder1_1r1 @ X0))),
% 16.01/2.90 inference('cnf', [status(esa)], [zf_stmt_3])).
% 16.01/2.90 thf(zip_derived_cl546, plain,
% 16.01/2.90 ((![X0 : $i, X1 : $i]:
% 16.01/2.90 (~ (ssNder1_1r1 @ X0) | (ssNder1_2r1r1 @ X0 @ X1)))
% 16.01/2.90 <= ((![X0 : $i, X1 : $i]:
% 16.01/2.90 (~ (ssNder1_1r1 @ X0) | (ssNder1_2r1r1 @ X0 @ X1))))),
% 16.01/2.90 inference('split', [status(esa)], [zip_derived_cl2])).
% 16.01/2.90 thf(zip_derived_cl1634, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 16.01/2.90 inference('simpl_trail', [status(thm)], [zip_derived_cl544, '2'])).
% 16.01/2.90 thf(zip_derived_cl1645, plain,
% 16.01/2.90 ((![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1))
% 16.01/2.90 <= ((![X0 : $i, X1 : $i]:
% 16.01/2.90 (~ (ssNder1_1r1 @ X0) | (ssNder1_2r1r1 @ X0 @ X1))))),
% 16.01/2.90 inference('demod', [status(thm)], [zip_derived_cl546, zip_derived_cl1634])).
% 16.01/2.90 thf('3', plain,
% 16.01/2.90 ((![X0 : $i, X1 : $i]:
% 16.01/2.90 (~ (ssNder1_1r1 @ X0) | (ssNder1_2r1r1 @ X0 @ X1))) |
% 16.01/2.90 ~ ( (ssNder1_0))),
% 16.01/2.90 inference('split', [status(esa)], [zip_derived_cl2])).
% 16.01/2.90 thf('4', plain,
% 16.01/2.90 ((![X0 : $i, X1 : $i]:
% 16.01/2.90 (~ (ssNder1_1r1 @ X0) | (ssNder1_2r1r1 @ X0 @ X1)))),
% 16.01/2.90 inference('sat_resolution*', [status(thm)], ['0', '3'])).
% 16.01/2.90 thf(zip_derived_cl1646, plain,
% 16.01/2.90 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 16.01/2.90 inference('simpl_trail', [status(thm)], [zip_derived_cl1645, '4'])).
% 16.01/2.90 thf(clause9, conjecture,
% 16.01/2.90 (~( ( ssNder1_3r1r1r1 @ U @ V @ W ) | ( ~( ssNder1_0 ) ) |
% 16.01/2.90 ( ~( ssNder1_1r1 @ U ) ) | ( ~( ssNder1_2r1r1 @ U @ V ) ) ))).
% 16.01/2.90 thf(zf_stmt_4, negated_conjecture,
% 16.01/2.90 (( ssNder1_3r1r1r1 @ U @ V @ W ) | ( ~( ssNder1_0 ) ) |
% 16.01/2.90 ( ~( ssNder1_1r1 @ U ) ) | ( ~( ssNder1_2r1r1 @ U @ V ) )),
% 16.01/2.90 inference('cnf.neg', [status(esa)], [clause9])).
% 16.01/2.90 thf(zip_derived_cl8, plain,
% 16.01/2.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 16.01/2.90 ( (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.90 | ~ (ssNder1_0)
% 16.01/2.90 | ~ (ssNder1_1r1 @ X0)
% 16.01/2.90 | ~ (ssNder1_2r1r1 @ X0 @ X1))),
% 16.01/2.90 inference('cnf', [status(esa)], [zf_stmt_4])).
% 16.01/2.90 thf(zip_derived_cl558, plain,
% 16.01/2.90 ((![X0 : $i, X1 : $i, X2 : $i]:
% 16.01/2.90 (~ (ssNder1_1r1 @ X0)
% 16.01/2.90 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.90 | (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)))
% 16.01/2.90 <= ((![X0 : $i, X1 : $i, X2 : $i]:
% 16.01/2.90 (~ (ssNder1_1r1 @ X0)
% 16.01/2.90 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.90 | (ssNder1_3r1r1r1 @ X0 @ X1 @ X2))))),
% 16.01/2.90 inference('split', [status(esa)], [zip_derived_cl8])).
% 16.01/2.90 thf(zip_derived_cl1634, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 16.01/2.90 inference('simpl_trail', [status(thm)], [zip_derived_cl544, '2'])).
% 16.01/2.90 thf(zip_derived_cl1646, plain,
% 16.01/2.90 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 16.01/2.90 inference('simpl_trail', [status(thm)], [zip_derived_cl1645, '4'])).
% 16.01/2.90 thf(zip_derived_cl1716, plain,
% 16.01/2.90 ((![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2))
% 16.01/2.90 <= ((![X0 : $i, X1 : $i, X2 : $i]:
% 16.01/2.90 (~ (ssNder1_1r1 @ X0)
% 16.01/2.90 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.90 | (ssNder1_3r1r1r1 @ X0 @ X1 @ X2))))),
% 16.01/2.90 inference('demod', [status(thm)],
% 16.01/2.90 [zip_derived_cl558, zip_derived_cl1634, zip_derived_cl1646])).
% 16.01/2.90 thf('5', plain,
% 16.01/2.90 ((![X0 : $i, X1 : $i, X2 : $i]:
% 16.01/2.90 (~ (ssNder1_1r1 @ X0)
% 16.01/2.90 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.90 | (ssNder1_3r1r1r1 @ X0 @ X1 @ X2))) |
% 16.01/2.90 ~ ( (ssNder1_0))),
% 16.01/2.90 inference('split', [status(esa)], [zip_derived_cl8])).
% 16.01/2.90 thf('6', plain,
% 16.01/2.90 ((![X0 : $i, X1 : $i, X2 : $i]:
% 16.01/2.90 (~ (ssNder1_1r1 @ X0)
% 16.01/2.90 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.90 | (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)))),
% 16.01/2.90 inference('sat_resolution*', [status(thm)], ['0', '5'])).
% 16.01/2.90 thf(zip_derived_cl1717, plain,
% 16.01/2.90 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 16.01/2.90 inference('simpl_trail', [status(thm)], [zip_derived_cl1716, '6'])).
% 16.01/2.90 thf(zip_derived_cl1864, plain,
% 16.01/2.90 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 16.01/2.90 ~ (ssPv16_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ skc31))
% 16.01/2.90 <= ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 16.01/2.90 (~ (ssNder1_1r1 @ X0)
% 16.01/2.90 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.90 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.90 | ~ (ssPv16_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ skc31))))),
% 16.01/2.90 inference('demod', [status(thm)],
% 16.01/2.90 [zip_derived_cl582, zip_derived_cl1634, zip_derived_cl1646,
% 16.01/2.90 zip_derived_cl1717])).
% 16.01/2.90 thf('7', plain,
% 16.01/2.90 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 16.01/2.90 (~ (ssNder1_1r1 @ X0)
% 16.01/2.90 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.90 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.90 | ~ (ssPv16_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ skc31))) |
% 16.01/2.90 ~ ( (ssNder1_0))),
% 16.01/2.90 inference('split', [status(esa)], [zip_derived_cl20])).
% 16.01/2.90 thf('8', plain,
% 16.01/2.90 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 16.01/2.90 (~ (ssNder1_1r1 @ X0)
% 16.01/2.90 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.90 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.90 | ~ (ssPv16_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ skc31)))),
% 16.01/2.90 inference('sat_resolution*', [status(thm)], ['0', '7'])).
% 16.01/2.90 thf(zip_derived_cl1865, plain,
% 16.01/2.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 16.01/2.90 ~ (ssPv16_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ skc31)),
% 16.01/2.90 inference('simpl_trail', [status(thm)], [zip_derived_cl1864, '8'])).
% 16.01/2.90 thf(clause189, conjecture,
% 16.01/2.90 (~( ( ssPv15_10r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.90 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) |
% 16.01/2.90 ( ssPv14_10r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.90 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) |
% 16.01/2.90 ( ssPv11_10r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.90 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) |
% 16.01/2.90 ( ssPv4_10r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.90 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) |
% 16.01/2.90 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 16.01/2.90 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 16.01/2.90 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 16.01/2.90 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 16.01/2.90 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 16.01/2.90 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 16.01/2.90 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 16.01/2.90 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 16.01/2.90 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) ))).
% 16.01/2.90 thf(zf_stmt_5, negated_conjecture,
% 16.01/2.90 (( ssPv15_10r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.90 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) |
% 16.01/2.90 ( ssPv14_10r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.90 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) |
% 16.01/2.90 ( ssPv11_10r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.90 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) |
% 16.01/2.90 ( ssPv4_10r1r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) |
% 16.01/2.90 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 16.01/2.90 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 16.01/2.90 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 16.01/2.90 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 16.01/2.90 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 16.01/2.90 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 16.01/2.90 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 16.01/2.90 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) )),
% 16.01/2.90 inference('cnf.neg', [status(esa)], [clause189])).
% 16.01/2.90 thf(zip_derived_cl188, plain,
% 16.01/2.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.90 X7 : $i, X8 : $i, X9 : $i]:
% 16.01/2.90 ( (ssPv15_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.90 X7 @ X8 @ X9)
% 16.01/2.90 | (ssPv14_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6 @ X7 @ X8 @ X9)
% 16.01/2.90 | (ssPv11_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6 @ X7 @ X8 @ X9)
% 16.01/2.90 | (ssPv4_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6 @ X7 @ X8 @ X9)
% 16.01/2.90 | ~ (ssNder1_0)
% 16.01/2.90 | ~ (ssNder1_1r1 @ X0)
% 16.01/2.90 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.90 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.90 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.90 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.90 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.90 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.90 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.90 X7)
% 16.01/2.90 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6 @ X7 @ X8))),
% 16.01/2.90 inference('cnf', [status(esa)], [zf_stmt_5])).
% 16.01/2.90 thf(zip_derived_cl918, plain,
% 16.01/2.90 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.90 X7 : $i, X8 : $i, X9 : $i]:
% 16.01/2.90 (~ (ssNder1_1r1 @ X0)
% 16.01/2.90 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.90 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.90 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.90 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.90 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.90 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.90 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.90 X7)
% 16.01/2.90 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6 @ X7 @ X8)
% 16.01/2.90 | (ssPv15_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6 @ X7 @ X8 @ X9)
% 16.01/2.90 | (ssPv14_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6 @ X7 @ X8 @ X9)
% 16.01/2.90 | (ssPv11_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6 @ X7 @ X8 @ X9)
% 16.01/2.90 | (ssPv4_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6 @ X7 @ X8 @ X9)))
% 16.01/2.90 <= ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.90 X7 : $i, X8 : $i, X9 : $i]:
% 16.01/2.90 (~ (ssNder1_1r1 @ X0)
% 16.01/2.90 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.90 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.90 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.90 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.90 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.90 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6)
% 16.01/2.90 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.90 X5 @ X6 @ X7)
% 16.01/2.90 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.90 X5 @ X6 @ X7 @ X8)
% 16.01/2.90 | (ssPv15_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.90 X5 @ X6 @ X7 @ X8 @ X9)
% 16.01/2.90 | (ssPv14_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.90 X5 @ X6 @ X7 @ X8 @ X9)
% 16.01/2.90 | (ssPv11_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.90 X5 @ X6 @ X7 @ X8 @ X9)
% 16.01/2.90 | (ssPv4_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.90 X5 @ X6 @ X7 @ X8 @ X9))))),
% 16.01/2.90 inference('split', [status(esa)], [zip_derived_cl188])).
% 16.01/2.90 thf(zip_derived_cl1634, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 16.01/2.90 inference('simpl_trail', [status(thm)], [zip_derived_cl544, '2'])).
% 16.01/2.90 thf(zip_derived_cl1646, plain,
% 16.01/2.90 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 16.01/2.90 inference('simpl_trail', [status(thm)], [zip_derived_cl1645, '4'])).
% 16.01/2.90 thf(zip_derived_cl1717, plain,
% 16.01/2.90 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 16.01/2.90 inference('simpl_trail', [status(thm)], [zip_derived_cl1716, '6'])).
% 16.01/2.90 thf(clause16, conjecture,
% 16.01/2.90 (~( ( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) | ( ~( ssNder1_0 ) ) |
% 16.01/2.90 ( ~( ssNder1_1r1 @ U ) ) | ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 16.01/2.90 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) ))).
% 16.01/2.90 thf(zf_stmt_6, negated_conjecture,
% 16.01/2.90 (( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) | ( ~( ssNder1_0 ) ) |
% 16.01/2.90 ( ~( ssNder1_1r1 @ U ) ) | ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 16.01/2.90 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) )),
% 16.01/2.90 inference('cnf.neg', [status(esa)], [clause16])).
% 16.01/2.90 thf(zip_derived_cl15, plain,
% 16.01/2.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 16.01/2.90 ( (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.90 | ~ (ssNder1_0)
% 16.01/2.90 | ~ (ssNder1_1r1 @ X0)
% 16.01/2.90 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.90 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2))),
% 16.01/2.90 inference('cnf', [status(esa)], [zf_stmt_6])).
% 16.01/2.90 thf(zip_derived_cl572, plain,
% 16.01/2.90 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 16.01/2.90 (~ (ssNder1_1r1 @ X0)
% 16.01/2.90 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.90 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.90 | (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)))
% 16.01/2.90 <= ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 16.01/2.90 (~ (ssNder1_1r1 @ X0)
% 16.01/2.90 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.90 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.90 | (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3))))),
% 16.01/2.90 inference('split', [status(esa)], [zip_derived_cl15])).
% 16.01/2.90 thf(zip_derived_cl1634, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 16.01/2.90 inference('simpl_trail', [status(thm)], [zip_derived_cl544, '2'])).
% 16.01/2.90 thf(zip_derived_cl1646, plain,
% 16.01/2.90 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 16.01/2.90 inference('simpl_trail', [status(thm)], [zip_derived_cl1645, '4'])).
% 16.01/2.90 thf(zip_derived_cl1717, plain,
% 16.01/2.90 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 16.01/2.90 inference('simpl_trail', [status(thm)], [zip_derived_cl1716, '6'])).
% 16.01/2.90 thf(zip_derived_cl1804, plain,
% 16.01/2.90 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 16.01/2.90 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3))
% 16.01/2.90 <= ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 16.01/2.90 (~ (ssNder1_1r1 @ X0)
% 16.01/2.90 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.90 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.90 | (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3))))),
% 16.01/2.90 inference('demod', [status(thm)],
% 16.01/2.90 [zip_derived_cl572, zip_derived_cl1634, zip_derived_cl1646,
% 16.01/2.90 zip_derived_cl1717])).
% 16.01/2.90 thf('9', plain,
% 16.01/2.90 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 16.01/2.90 (~ (ssNder1_1r1 @ X0)
% 16.01/2.90 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.90 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.90 | (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3))) |
% 16.01/2.90 ~ ( (ssNder1_0))),
% 16.01/2.90 inference('split', [status(esa)], [zip_derived_cl15])).
% 16.01/2.90 thf('10', plain,
% 16.01/2.90 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 16.01/2.90 (~ (ssNder1_1r1 @ X0)
% 16.01/2.90 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.90 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.90 | (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)))),
% 16.01/2.90 inference('sat_resolution*', [status(thm)], ['0', '9'])).
% 16.01/2.90 thf(zip_derived_cl1805, plain,
% 16.01/2.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 16.01/2.90 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 16.01/2.90 inference('simpl_trail', [status(thm)], [zip_derived_cl1804, '10'])).
% 16.01/2.90 thf(clause29, conjecture,
% 16.01/2.90 (~( ( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) | ( ~( ssNder1_0 ) ) |
% 16.01/2.90 ( ~( ssNder1_1r1 @ U ) ) | ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 16.01/2.90 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 16.01/2.90 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) ))).
% 16.01/2.90 thf(zf_stmt_7, negated_conjecture,
% 16.01/2.90 (( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) | ( ~( ssNder1_0 ) ) |
% 16.01/2.90 ( ~( ssNder1_1r1 @ U ) ) | ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 16.01/2.90 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 16.01/2.90 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) )),
% 16.01/2.90 inference('cnf.neg', [status(esa)], [clause29])).
% 16.01/2.90 thf(zip_derived_cl28, plain,
% 16.01/2.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 16.01/2.90 ( (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.90 | ~ (ssNder1_0)
% 16.01/2.90 | ~ (ssNder1_1r1 @ X0)
% 16.01/2.90 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.90 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.90 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3))),
% 16.01/2.90 inference('cnf', [status(esa)], [zf_stmt_7])).
% 16.01/2.90 thf(zip_derived_cl598, plain,
% 16.01/2.90 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 16.01/2.90 (~ (ssNder1_1r1 @ X0)
% 16.01/2.90 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.90 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.90 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.90 | (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)))
% 16.01/2.90 <= ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 16.01/2.90 (~ (ssNder1_1r1 @ X0)
% 16.01/2.90 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.90 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.90 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.90 | (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4))))),
% 16.01/2.90 inference('split', [status(esa)], [zip_derived_cl28])).
% 16.01/2.90 thf(zip_derived_cl1634, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 16.01/2.90 inference('simpl_trail', [status(thm)], [zip_derived_cl544, '2'])).
% 16.01/2.90 thf(zip_derived_cl1646, plain,
% 16.01/2.90 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 16.01/2.90 inference('simpl_trail', [status(thm)], [zip_derived_cl1645, '4'])).
% 16.01/2.90 thf(zip_derived_cl1717, plain,
% 16.01/2.90 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 16.01/2.90 inference('simpl_trail', [status(thm)], [zip_derived_cl1716, '6'])).
% 16.01/2.90 thf(zip_derived_cl1805, plain,
% 16.01/2.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 16.01/2.90 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 16.01/2.90 inference('simpl_trail', [status(thm)], [zip_derived_cl1804, '10'])).
% 16.01/2.90 thf(zip_derived_cl1966, plain,
% 16.01/2.90 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 16.01/2.90 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4))
% 16.01/2.90 <= ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 16.01/2.90 (~ (ssNder1_1r1 @ X0)
% 16.01/2.90 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.90 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.90 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.90 | (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4))))),
% 16.01/2.90 inference('demod', [status(thm)],
% 16.01/2.90 [zip_derived_cl598, zip_derived_cl1634, zip_derived_cl1646,
% 16.01/2.90 zip_derived_cl1717, zip_derived_cl1805])).
% 16.01/2.90 thf('11', plain,
% 16.01/2.90 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 16.01/2.90 (~ (ssNder1_1r1 @ X0)
% 16.01/2.90 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.90 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.90 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.90 | (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4))) |
% 16.01/2.90 ~ ( (ssNder1_0))),
% 16.01/2.90 inference('split', [status(esa)], [zip_derived_cl28])).
% 16.01/2.90 thf('12', plain,
% 16.01/2.90 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 16.01/2.90 (~ (ssNder1_1r1 @ X0)
% 16.01/2.90 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.90 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.90 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.90 | (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)))),
% 16.01/2.90 inference('sat_resolution*', [status(thm)], ['0', '11'])).
% 16.01/2.90 thf(zip_derived_cl1967, plain,
% 16.01/2.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 16.01/2.90 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 16.01/2.90 inference('simpl_trail', [status(thm)], [zip_derived_cl1966, '12'])).
% 16.01/2.90 thf(clause46, conjecture,
% 16.01/2.90 (~( ( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) |
% 16.01/2.90 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 16.01/2.90 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 16.01/2.90 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 16.01/2.90 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 16.01/2.90 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) ))).
% 16.01/2.90 thf(zf_stmt_8, negated_conjecture,
% 16.01/2.90 (( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) | ( ~( ssNder1_0 ) ) |
% 16.01/2.90 ( ~( ssNder1_1r1 @ U ) ) | ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 16.01/2.90 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 16.01/2.90 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 16.01/2.90 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) )),
% 16.01/2.90 inference('cnf.neg', [status(esa)], [clause46])).
% 16.01/2.90 thf(zip_derived_cl45, plain,
% 16.01/2.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 16.01/2.90 ( (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.90 | ~ (ssNder1_0)
% 16.01/2.90 | ~ (ssNder1_1r1 @ X0)
% 16.01/2.90 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.90 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.90 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.90 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4))),
% 16.01/2.90 inference('cnf', [status(esa)], [zf_stmt_8])).
% 16.01/2.90 thf(zip_derived_cl632, plain,
% 16.01/2.90 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 16.01/2.90 (~ (ssNder1_1r1 @ X0)
% 16.01/2.90 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.90 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.90 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.90 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.90 | (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)))
% 16.01/2.90 <= ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 16.01/2.90 (~ (ssNder1_1r1 @ X0)
% 16.01/2.90 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.90 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.90 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.90 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.90 | (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5))))),
% 16.01/2.90 inference('split', [status(esa)], [zip_derived_cl45])).
% 16.01/2.90 thf(zip_derived_cl1634, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 16.01/2.90 inference('simpl_trail', [status(thm)], [zip_derived_cl544, '2'])).
% 16.01/2.90 thf(zip_derived_cl1646, plain,
% 16.01/2.90 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 16.01/2.90 inference('simpl_trail', [status(thm)], [zip_derived_cl1645, '4'])).
% 16.01/2.90 thf(zip_derived_cl1717, plain,
% 16.01/2.90 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 16.01/2.90 inference('simpl_trail', [status(thm)], [zip_derived_cl1716, '6'])).
% 16.01/2.90 thf(zip_derived_cl1805, plain,
% 16.01/2.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 16.01/2.90 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 16.01/2.90 inference('simpl_trail', [status(thm)], [zip_derived_cl1804, '10'])).
% 16.01/2.90 thf(zip_derived_cl1967, plain,
% 16.01/2.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 16.01/2.90 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 16.01/2.90 inference('simpl_trail', [status(thm)], [zip_derived_cl1966, '12'])).
% 16.01/2.90 thf(zip_derived_cl2175, plain,
% 16.01/2.90 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 16.01/2.90 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5))
% 16.01/2.90 <= ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 16.01/2.90 (~ (ssNder1_1r1 @ X0)
% 16.01/2.90 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.90 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.90 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.90 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.90 | (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5))))),
% 16.01/2.90 inference('demod', [status(thm)],
% 16.01/2.90 [zip_derived_cl632, zip_derived_cl1634, zip_derived_cl1646,
% 16.01/2.90 zip_derived_cl1717, zip_derived_cl1805, zip_derived_cl1967])).
% 16.01/2.90 thf('13', plain,
% 16.01/2.90 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 16.01/2.90 (~ (ssNder1_1r1 @ X0)
% 16.01/2.90 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.90 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.90 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.90 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.90 | (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5))) |
% 16.01/2.90 ~ ( (ssNder1_0))),
% 16.01/2.90 inference('split', [status(esa)], [zip_derived_cl45])).
% 16.01/2.90 thf('14', plain,
% 16.01/2.90 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 16.01/2.90 (~ (ssNder1_1r1 @ X0)
% 16.01/2.90 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.90 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.90 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.90 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.90 | (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)))),
% 16.01/2.90 inference('sat_resolution*', [status(thm)], ['0', '13'])).
% 16.01/2.90 thf(zip_derived_cl2176, plain,
% 16.01/2.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 16.01/2.90 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 16.01/2.90 inference('simpl_trail', [status(thm)], [zip_derived_cl2175, '14'])).
% 16.01/2.90 thf(clause65, conjecture,
% 16.01/2.90 (~( ( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) |
% 16.01/2.90 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 16.01/2.90 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 16.01/2.90 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 16.01/2.90 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 16.01/2.90 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 16.01/2.90 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) ))).
% 16.01/2.90 thf(zf_stmt_9, negated_conjecture,
% 16.01/2.90 (( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) |
% 16.01/2.90 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 16.01/2.90 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 16.01/2.90 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 16.01/2.90 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 16.01/2.90 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) )),
% 16.01/2.90 inference('cnf.neg', [status(esa)], [clause65])).
% 16.01/2.90 thf(zip_derived_cl64, plain,
% 16.01/2.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 16.01/2.90 ( (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.90 | ~ (ssNder1_0)
% 16.01/2.90 | ~ (ssNder1_1r1 @ X0)
% 16.01/2.90 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.90 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.90 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.90 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.90 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5))),
% 16.01/2.90 inference('cnf', [status(esa)], [zf_stmt_9])).
% 16.01/2.90 thf(zip_derived_cl670, plain,
% 16.01/2.90 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 16.01/2.90 (~ (ssNder1_1r1 @ X0)
% 16.01/2.90 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.90 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.90 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.90 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.90 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.90 | (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)))
% 16.01/2.90 <= ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 16.01/2.90 (~ (ssNder1_1r1 @ X0)
% 16.01/2.90 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.90 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.90 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.90 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.90 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.90 | (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6))))),
% 16.01/2.90 inference('split', [status(esa)], [zip_derived_cl64])).
% 16.01/2.90 thf(zip_derived_cl1634, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 16.01/2.90 inference('simpl_trail', [status(thm)], [zip_derived_cl544, '2'])).
% 16.01/2.90 thf(zip_derived_cl1646, plain,
% 16.01/2.90 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 16.01/2.90 inference('simpl_trail', [status(thm)], [zip_derived_cl1645, '4'])).
% 16.01/2.90 thf(zip_derived_cl1717, plain,
% 16.01/2.90 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 16.01/2.90 inference('simpl_trail', [status(thm)], [zip_derived_cl1716, '6'])).
% 16.01/2.90 thf(zip_derived_cl1805, plain,
% 16.01/2.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 16.01/2.90 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 16.01/2.90 inference('simpl_trail', [status(thm)], [zip_derived_cl1804, '10'])).
% 16.01/2.90 thf(zip_derived_cl1967, plain,
% 16.01/2.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 16.01/2.90 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 16.01/2.90 inference('simpl_trail', [status(thm)], [zip_derived_cl1966, '12'])).
% 16.01/2.90 thf(zip_derived_cl2176, plain,
% 16.01/2.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 16.01/2.90 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 16.01/2.90 inference('simpl_trail', [status(thm)], [zip_derived_cl2175, '14'])).
% 16.01/2.90 thf(zip_derived_cl2321, plain,
% 16.01/2.90 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 16.01/2.90 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6))
% 16.01/2.90 <= ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 16.01/2.90 (~ (ssNder1_1r1 @ X0)
% 16.01/2.90 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.90 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.90 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.90 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.90 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.90 | (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6))))),
% 16.01/2.90 inference('demod', [status(thm)],
% 16.01/2.90 [zip_derived_cl670, zip_derived_cl1634, zip_derived_cl1646,
% 16.01/2.90 zip_derived_cl1717, zip_derived_cl1805, zip_derived_cl1967,
% 16.01/2.90 zip_derived_cl2176])).
% 16.01/2.90 thf('15', plain,
% 16.01/2.90 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 16.01/2.90 (~ (ssNder1_1r1 @ X0)
% 16.01/2.90 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.90 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.90 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.90 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.90 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.90 | (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6))) |
% 16.01/2.90 ~ ( (ssNder1_0))),
% 16.01/2.90 inference('split', [status(esa)], [zip_derived_cl64])).
% 16.01/2.90 thf('16', plain,
% 16.01/2.90 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 16.01/2.90 (~ (ssNder1_1r1 @ X0)
% 16.01/2.90 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.90 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.90 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.90 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.90 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.90 | (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)))),
% 16.01/2.90 inference('sat_resolution*', [status(thm)], ['0', '15'])).
% 16.01/2.90 thf(zip_derived_cl2322, plain,
% 16.01/2.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 16.01/2.90 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 16.01/2.90 inference('simpl_trail', [status(thm)], [zip_derived_cl2321, '16'])).
% 16.01/2.90 thf(clause88, conjecture,
% 16.01/2.90 (~( ( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) |
% 16.01/2.90 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 16.01/2.90 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 16.01/2.90 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 16.01/2.90 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 16.01/2.90 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 16.01/2.90 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 16.01/2.90 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) ))).
% 16.01/2.90 thf(zf_stmt_10, negated_conjecture,
% 16.01/2.90 (( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) |
% 16.01/2.90 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 16.01/2.90 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 16.01/2.90 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 16.01/2.90 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 16.01/2.90 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 16.01/2.90 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) )),
% 16.01/2.90 inference('cnf.neg', [status(esa)], [clause88])).
% 16.01/2.90 thf(zip_derived_cl87, plain,
% 16.01/2.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 16.01/2.90 ( (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)
% 16.01/2.90 | ~ (ssNder1_0)
% 16.01/2.90 | ~ (ssNder1_1r1 @ X0)
% 16.01/2.90 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.90 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.90 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.90 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.90 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.90 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6))),
% 16.01/2.90 inference('cnf', [status(esa)], [zf_stmt_10])).
% 16.01/2.90 thf(zip_derived_cl716, plain,
% 16.01/2.90 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.90 X7 : $i]:
% 16.01/2.90 (~ (ssNder1_1r1 @ X0)
% 16.01/2.90 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.90 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.90 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.90 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.90 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.90 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.90 | (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.90 X7)))
% 16.01/2.90 <= ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.90 X7 : $i]:
% 16.01/2.90 (~ (ssNder1_1r1 @ X0)
% 16.01/2.90 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.90 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.90 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.90 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.90 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.90 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6)
% 16.01/2.90 | (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6 @ X7))))),
% 16.01/2.90 inference('split', [status(esa)], [zip_derived_cl87])).
% 16.01/2.90 thf(zip_derived_cl1634, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 16.01/2.90 inference('simpl_trail', [status(thm)], [zip_derived_cl544, '2'])).
% 16.01/2.90 thf(zip_derived_cl1646, plain,
% 16.01/2.90 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 16.01/2.90 inference('simpl_trail', [status(thm)], [zip_derived_cl1645, '4'])).
% 16.01/2.90 thf(zip_derived_cl1717, plain,
% 16.01/2.90 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 16.01/2.90 inference('simpl_trail', [status(thm)], [zip_derived_cl1716, '6'])).
% 16.01/2.90 thf(zip_derived_cl1805, plain,
% 16.01/2.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 16.01/2.90 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 16.01/2.90 inference('simpl_trail', [status(thm)], [zip_derived_cl1804, '10'])).
% 16.01/2.90 thf(zip_derived_cl1967, plain,
% 16.01/2.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 16.01/2.90 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 16.01/2.90 inference('simpl_trail', [status(thm)], [zip_derived_cl1966, '12'])).
% 16.01/2.90 thf(zip_derived_cl2176, plain,
% 16.01/2.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 16.01/2.90 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 16.01/2.90 inference('simpl_trail', [status(thm)], [zip_derived_cl2175, '14'])).
% 16.01/2.90 thf(zip_derived_cl2322, plain,
% 16.01/2.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 16.01/2.90 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 16.01/2.90 inference('simpl_trail', [status(thm)], [zip_derived_cl2321, '16'])).
% 16.01/2.90 thf(zip_derived_cl2379, plain,
% 16.01/2.90 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.90 X7 : $i]:
% 16.01/2.90 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7))
% 16.01/2.90 <= ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.90 X7 : $i]:
% 16.01/2.90 (~ (ssNder1_1r1 @ X0)
% 16.01/2.90 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.90 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.90 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.90 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.90 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.90 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6)
% 16.01/2.90 | (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6 @ X7))))),
% 16.01/2.90 inference('demod', [status(thm)],
% 16.01/2.90 [zip_derived_cl716, zip_derived_cl1634, zip_derived_cl1646,
% 16.01/2.90 zip_derived_cl1717, zip_derived_cl1805, zip_derived_cl1967,
% 16.01/2.90 zip_derived_cl2176, zip_derived_cl2322])).
% 16.01/2.90 thf('17', plain,
% 16.01/2.90 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.90 X7 : $i]:
% 16.01/2.90 (~ (ssNder1_1r1 @ X0)
% 16.01/2.90 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.90 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.90 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.90 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.90 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.90 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.90 | (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.90 X7))) |
% 16.01/2.90 ~ ( (ssNder1_0))),
% 16.01/2.90 inference('split', [status(esa)], [zip_derived_cl87])).
% 16.01/2.90 thf('18', plain,
% 16.01/2.90 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.90 X7 : $i]:
% 16.01/2.90 (~ (ssNder1_1r1 @ X0)
% 16.01/2.90 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.90 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.90 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.90 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.90 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.90 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.90 | (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.90 X7)))),
% 16.01/2.90 inference('sat_resolution*', [status(thm)], ['0', '17'])).
% 16.01/2.90 thf(zip_derived_cl2380, plain,
% 16.01/2.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 16.01/2.90 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 16.01/2.90 inference('simpl_trail', [status(thm)], [zip_derived_cl2379, '18'])).
% 16.01/2.90 thf(clause111, conjecture,
% 16.01/2.90 (~( ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) |
% 16.01/2.90 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 16.01/2.90 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 16.01/2.90 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 16.01/2.90 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 16.01/2.90 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 16.01/2.90 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 16.01/2.90 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 16.01/2.90 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) ))).
% 16.01/2.90 thf(zf_stmt_11, negated_conjecture,
% 16.01/2.90 (( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) |
% 16.01/2.90 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 16.01/2.90 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 16.01/2.90 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 16.01/2.90 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 16.01/2.90 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 16.01/2.90 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 16.01/2.90 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) )),
% 16.01/2.90 inference('cnf.neg', [status(esa)], [clause111])).
% 16.01/2.90 thf(zip_derived_cl110, plain,
% 16.01/2.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.90 X7 : $i, X8 : $i]:
% 16.01/2.90 ( (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.90 X7 @ X8)
% 16.01/2.90 | ~ (ssNder1_0)
% 16.01/2.90 | ~ (ssNder1_1r1 @ X0)
% 16.01/2.90 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.90 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.90 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.90 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.90 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.90 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.90 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.90 X7))),
% 16.01/2.90 inference('cnf', [status(esa)], [zf_stmt_11])).
% 16.01/2.90 thf(zip_derived_cl762, plain,
% 16.01/2.90 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.90 X7 : $i, X8 : $i]:
% 16.01/2.90 (~ (ssNder1_1r1 @ X0)
% 16.01/2.90 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.90 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.90 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.90 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.90 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.90 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.90 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.90 X7)
% 16.01/2.90 | (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6 @ X7 @ X8)))
% 16.01/2.90 <= ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.90 X7 : $i, X8 : $i]:
% 16.01/2.90 (~ (ssNder1_1r1 @ X0)
% 16.01/2.90 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.90 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.90 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.90 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.90 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.90 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6)
% 16.01/2.90 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.90 X5 @ X6 @ X7)
% 16.01/2.90 | (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.90 X5 @ X6 @ X7 @ X8))))),
% 16.01/2.90 inference('split', [status(esa)], [zip_derived_cl110])).
% 16.01/2.90 thf(zip_derived_cl1634, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 16.01/2.90 inference('simpl_trail', [status(thm)], [zip_derived_cl544, '2'])).
% 16.01/2.90 thf(zip_derived_cl1646, plain,
% 16.01/2.90 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 16.01/2.90 inference('simpl_trail', [status(thm)], [zip_derived_cl1645, '4'])).
% 16.01/2.90 thf(zip_derived_cl1717, plain,
% 16.01/2.90 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 16.01/2.90 inference('simpl_trail', [status(thm)], [zip_derived_cl1716, '6'])).
% 16.01/2.90 thf(zip_derived_cl1805, plain,
% 16.01/2.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 16.01/2.90 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 16.01/2.90 inference('simpl_trail', [status(thm)], [zip_derived_cl1804, '10'])).
% 16.01/2.90 thf(zip_derived_cl1967, plain,
% 16.01/2.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 16.01/2.90 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 16.01/2.90 inference('simpl_trail', [status(thm)], [zip_derived_cl1966, '12'])).
% 16.01/2.90 thf(zip_derived_cl2176, plain,
% 16.01/2.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 16.01/2.90 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 16.01/2.90 inference('simpl_trail', [status(thm)], [zip_derived_cl2175, '14'])).
% 16.01/2.90 thf(zip_derived_cl2322, plain,
% 16.01/2.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 16.01/2.90 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 16.01/2.90 inference('simpl_trail', [status(thm)], [zip_derived_cl2321, '16'])).
% 16.01/2.90 thf(zip_derived_cl2380, plain,
% 16.01/2.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 16.01/2.90 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 16.01/2.90 inference('simpl_trail', [status(thm)], [zip_derived_cl2379, '18'])).
% 16.01/2.90 thf(zip_derived_cl2437, plain,
% 16.01/2.90 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.90 X7 : $i, X8 : $i]:
% 16.01/2.90 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.90 X7 @ X8))
% 16.01/2.90 <= ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.90 X7 : $i, X8 : $i]:
% 16.01/2.90 (~ (ssNder1_1r1 @ X0)
% 16.01/2.90 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.90 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.90 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.90 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.90 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.90 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6)
% 16.01/2.90 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.90 X5 @ X6 @ X7)
% 16.01/2.90 | (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.90 X5 @ X6 @ X7 @ X8))))),
% 16.01/2.90 inference('demod', [status(thm)],
% 16.01/2.90 [zip_derived_cl762, zip_derived_cl1634, zip_derived_cl1646,
% 16.01/2.90 zip_derived_cl1717, zip_derived_cl1805, zip_derived_cl1967,
% 16.01/2.90 zip_derived_cl2176, zip_derived_cl2322, zip_derived_cl2380])).
% 16.01/2.90 thf('19', plain,
% 16.01/2.90 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.90 X7 : $i, X8 : $i]:
% 16.01/2.90 (~ (ssNder1_1r1 @ X0)
% 16.01/2.90 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.90 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.90 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.90 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.90 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.90 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.90 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.90 X7)
% 16.01/2.90 | (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6 @ X7 @ X8))) |
% 16.01/2.90 ~ ( (ssNder1_0))),
% 16.01/2.90 inference('split', [status(esa)], [zip_derived_cl110])).
% 16.01/2.90 thf('20', plain,
% 16.01/2.90 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.90 X7 : $i, X8 : $i]:
% 16.01/2.90 (~ (ssNder1_1r1 @ X0)
% 16.01/2.90 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.90 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.90 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.90 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.90 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.90 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.90 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.90 X7)
% 16.01/2.90 | (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6 @ X7 @ X8)))),
% 16.01/2.90 inference('sat_resolution*', [status(thm)], ['0', '19'])).
% 16.01/2.90 thf(zip_derived_cl2438, plain,
% 16.01/2.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.90 X7 : $i, X8 : $i]:
% 16.01/2.90 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.90 X7 @ X8)),
% 16.01/2.90 inference('simpl_trail', [status(thm)], [zip_derived_cl2437, '20'])).
% 16.01/2.90 thf(zip_derived_cl2649, plain,
% 16.01/2.90 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.90 X7 : $i, X8 : $i, X9 : $i]:
% 16.01/2.90 ( (ssPv15_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6 @ X7 @ X8 @ X9)
% 16.01/2.90 | (ssPv14_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6 @ X7 @ X8 @ X9)
% 16.01/2.90 | (ssPv11_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6 @ X7 @ X8 @ X9)
% 16.01/2.90 | (ssPv4_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6 @ X7 @ X8 @ X9)))
% 16.01/2.90 <= ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.90 X7 : $i, X8 : $i, X9 : $i]:
% 16.01/2.90 (~ (ssNder1_1r1 @ X0)
% 16.01/2.90 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.90 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.90 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.90 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.90 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.90 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6)
% 16.01/2.90 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.90 X5 @ X6 @ X7)
% 16.01/2.90 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.90 X5 @ X6 @ X7 @ X8)
% 16.01/2.90 | (ssPv15_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.90 X5 @ X6 @ X7 @ X8 @ X9)
% 16.01/2.90 | (ssPv14_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.90 X5 @ X6 @ X7 @ X8 @ X9)
% 16.01/2.90 | (ssPv11_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.90 X5 @ X6 @ X7 @ X8 @ X9)
% 16.01/2.90 | (ssPv4_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.90 X5 @ X6 @ X7 @ X8 @ X9))))),
% 16.01/2.90 inference('demod', [status(thm)],
% 16.01/2.90 [zip_derived_cl918, zip_derived_cl1634, zip_derived_cl1646,
% 16.01/2.90 zip_derived_cl1717, zip_derived_cl1805, zip_derived_cl1967,
% 16.01/2.90 zip_derived_cl2176, zip_derived_cl2322, zip_derived_cl2380,
% 16.01/2.90 zip_derived_cl2438])).
% 16.01/2.90 thf('21', plain,
% 16.01/2.90 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.90 X7 : $i, X8 : $i, X9 : $i]:
% 16.01/2.90 (~ (ssNder1_1r1 @ X0)
% 16.01/2.90 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.90 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.90 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.90 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.90 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.90 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.90 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.90 X7)
% 16.01/2.90 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6 @ X7 @ X8)
% 16.01/2.90 | (ssPv15_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6 @ X7 @ X8 @ X9)
% 16.01/2.90 | (ssPv14_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6 @ X7 @ X8 @ X9)
% 16.01/2.90 | (ssPv11_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6 @ X7 @ X8 @ X9)
% 16.01/2.90 | (ssPv4_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6 @ X7 @ X8 @ X9))) |
% 16.01/2.90 ~ ( (ssNder1_0))),
% 16.01/2.90 inference('split', [status(esa)], [zip_derived_cl188])).
% 16.01/2.90 thf('22', plain,
% 16.01/2.90 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.90 X7 : $i, X8 : $i, X9 : $i]:
% 16.01/2.90 (~ (ssNder1_1r1 @ X0)
% 16.01/2.90 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.90 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.90 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.90 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.90 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.90 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.90 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.90 X7)
% 16.01/2.90 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6 @ X7 @ X8)
% 16.01/2.90 | (ssPv15_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6 @ X7 @ X8 @ X9)
% 16.01/2.90 | (ssPv14_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6 @ X7 @ X8 @ X9)
% 16.01/2.90 | (ssPv11_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6 @ X7 @ X8 @ X9)
% 16.01/2.90 | (ssPv4_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6 @ X7 @ X8 @ X9)))),
% 16.01/2.90 inference('sat_resolution*', [status(thm)], ['0', '21'])).
% 16.01/2.90 thf(zip_derived_cl2650, plain,
% 16.01/2.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.90 X7 : $i, X8 : $i, X9 : $i]:
% 16.01/2.90 ( (ssPv15_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.90 X7 @ X8 @ X9)
% 16.01/2.90 | (ssPv14_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6 @ X7 @ X8 @ X9)
% 16.01/2.90 | (ssPv11_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6 @ X7 @ X8 @ X9)
% 16.01/2.90 | (ssPv4_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6 @ X7 @ X8 @ X9))),
% 16.01/2.90 inference('simpl_trail', [status(thm)], [zip_derived_cl2649, '22'])).
% 16.01/2.90 thf(clause190, conjecture,
% 16.01/2.90 (~( ( ssPv14_10r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.90 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) |
% 16.01/2.90 ( ssPv13_10r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.90 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) |
% 16.01/2.90 ( ssPv11_10r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.90 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) |
% 16.01/2.90 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 16.01/2.90 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 16.01/2.90 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 16.01/2.90 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 16.01/2.90 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 16.01/2.90 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 16.01/2.90 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 16.01/2.90 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 16.01/2.90 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 16.01/2.90 ( ~( ssPv4_10r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.90 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) ))).
% 16.01/2.90 thf(zf_stmt_12, negated_conjecture,
% 16.01/2.90 (( ssPv14_10r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.90 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) |
% 16.01/2.90 ( ssPv13_10r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.90 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) |
% 16.01/2.90 ( ssPv11_10r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.90 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) |
% 16.01/2.90 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 16.01/2.90 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 16.01/2.90 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 16.01/2.90 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 16.01/2.90 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 16.01/2.90 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 16.01/2.90 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 16.01/2.90 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 16.01/2.90 ( ~( ssPv4_10r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.90 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) )),
% 16.01/2.90 inference('cnf.neg', [status(esa)], [clause190])).
% 16.01/2.90 thf(zip_derived_cl189, plain,
% 16.01/2.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.90 X7 : $i, X8 : $i, X9 : $i]:
% 16.01/2.90 ( (ssPv14_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.90 X7 @ X8 @ X9)
% 16.01/2.90 | (ssPv13_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6 @ X7 @ X8 @ X9)
% 16.01/2.90 | (ssPv11_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6 @ X7 @ X8 @ X9)
% 16.01/2.90 | ~ (ssNder1_0)
% 16.01/2.90 | ~ (ssNder1_1r1 @ X0)
% 16.01/2.90 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.90 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.90 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.90 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.90 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.90 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.90 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.90 X7)
% 16.01/2.90 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6 @ X7 @ X8)
% 16.01/2.90 | ~ (ssPv4_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6 @ X7 @ X8 @ X9))),
% 16.01/2.90 inference('cnf', [status(esa)], [zf_stmt_12])).
% 16.01/2.90 thf(zip_derived_cl920, plain,
% 16.01/2.90 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.90 X7 : $i, X8 : $i, X9 : $i]:
% 16.01/2.90 (~ (ssNder1_1r1 @ X0)
% 16.01/2.90 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.90 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.90 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.90 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.90 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.90 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.90 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.90 X7)
% 16.01/2.90 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6 @ X7 @ X8)
% 16.01/2.90 | (ssPv13_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6 @ X7 @ X8 @ X9)
% 16.01/2.90 | (ssPv14_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6 @ X7 @ X8 @ X9)
% 16.01/2.90 | (ssPv11_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6 @ X7 @ X8 @ X9)
% 16.01/2.90 | ~ (ssPv4_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6 @ X7 @ X8 @ X9)))
% 16.01/2.90 <= ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.90 X7 : $i, X8 : $i, X9 : $i]:
% 16.01/2.90 (~ (ssNder1_1r1 @ X0)
% 16.01/2.90 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.90 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.90 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.90 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.90 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.90 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6)
% 16.01/2.90 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.90 X5 @ X6 @ X7)
% 16.01/2.90 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.90 X5 @ X6 @ X7 @ X8)
% 16.01/2.90 | (ssPv13_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.90 X5 @ X6 @ X7 @ X8 @ X9)
% 16.01/2.90 | (ssPv14_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.90 X5 @ X6 @ X7 @ X8 @ X9)
% 16.01/2.90 | (ssPv11_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.90 X5 @ X6 @ X7 @ X8 @ X9)
% 16.01/2.90 | ~ (ssPv4_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.90 X5 @ X6 @ X7 @ X8 @ X9))))),
% 16.01/2.90 inference('split', [status(esa)], [zip_derived_cl189])).
% 16.01/2.90 thf(zip_derived_cl1634, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 16.01/2.90 inference('simpl_trail', [status(thm)], [zip_derived_cl544, '2'])).
% 16.01/2.90 thf(zip_derived_cl1646, plain,
% 16.01/2.90 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 16.01/2.90 inference('simpl_trail', [status(thm)], [zip_derived_cl1645, '4'])).
% 16.01/2.90 thf(zip_derived_cl1717, plain,
% 16.01/2.90 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 16.01/2.90 inference('simpl_trail', [status(thm)], [zip_derived_cl1716, '6'])).
% 16.01/2.90 thf(zip_derived_cl1805, plain,
% 16.01/2.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 16.01/2.90 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 16.01/2.90 inference('simpl_trail', [status(thm)], [zip_derived_cl1804, '10'])).
% 16.01/2.90 thf(zip_derived_cl1967, plain,
% 16.01/2.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 16.01/2.90 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 16.01/2.90 inference('simpl_trail', [status(thm)], [zip_derived_cl1966, '12'])).
% 16.01/2.90 thf(zip_derived_cl2176, plain,
% 16.01/2.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 16.01/2.90 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 16.01/2.90 inference('simpl_trail', [status(thm)], [zip_derived_cl2175, '14'])).
% 16.01/2.90 thf(zip_derived_cl2322, plain,
% 16.01/2.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 16.01/2.90 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 16.01/2.90 inference('simpl_trail', [status(thm)], [zip_derived_cl2321, '16'])).
% 16.01/2.90 thf(zip_derived_cl2380, plain,
% 16.01/2.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 16.01/2.90 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 16.01/2.90 inference('simpl_trail', [status(thm)], [zip_derived_cl2379, '18'])).
% 16.01/2.90 thf(zip_derived_cl2438, plain,
% 16.01/2.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.90 X7 : $i, X8 : $i]:
% 16.01/2.90 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.90 X7 @ X8)),
% 16.01/2.90 inference('simpl_trail', [status(thm)], [zip_derived_cl2437, '20'])).
% 16.01/2.90 thf(zip_derived_cl2671, plain,
% 16.01/2.90 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.90 X7 : $i, X8 : $i, X9 : $i]:
% 16.01/2.90 ( (ssPv13_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6 @ X7 @ X8 @ X9)
% 16.01/2.90 | (ssPv14_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6 @ X7 @ X8 @ X9)
% 16.01/2.90 | (ssPv11_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6 @ X7 @ X8 @ X9)
% 16.01/2.90 | ~ (ssPv4_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6 @ X7 @ X8 @ X9)))
% 16.01/2.90 <= ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.90 X7 : $i, X8 : $i, X9 : $i]:
% 16.01/2.90 (~ (ssNder1_1r1 @ X0)
% 16.01/2.90 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.90 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.90 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.90 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.90 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.90 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6)
% 16.01/2.90 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.90 X5 @ X6 @ X7)
% 16.01/2.90 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.90 X5 @ X6 @ X7 @ X8)
% 16.01/2.90 | (ssPv13_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.90 X5 @ X6 @ X7 @ X8 @ X9)
% 16.01/2.90 | (ssPv14_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.90 X5 @ X6 @ X7 @ X8 @ X9)
% 16.01/2.90 | (ssPv11_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.90 X5 @ X6 @ X7 @ X8 @ X9)
% 16.01/2.90 | ~ (ssPv4_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.90 X5 @ X6 @ X7 @ X8 @ X9))))),
% 16.01/2.90 inference('demod', [status(thm)],
% 16.01/2.90 [zip_derived_cl920, zip_derived_cl1634, zip_derived_cl1646,
% 16.01/2.90 zip_derived_cl1717, zip_derived_cl1805, zip_derived_cl1967,
% 16.01/2.90 zip_derived_cl2176, zip_derived_cl2322, zip_derived_cl2380,
% 16.01/2.90 zip_derived_cl2438])).
% 16.01/2.90 thf('23', plain,
% 16.01/2.90 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.90 X7 : $i, X8 : $i, X9 : $i]:
% 16.01/2.90 (~ (ssNder1_1r1 @ X0)
% 16.01/2.90 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.90 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.90 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.90 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.90 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.90 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.90 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.90 X7)
% 16.01/2.90 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6 @ X7 @ X8)
% 16.01/2.90 | (ssPv13_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6 @ X7 @ X8 @ X9)
% 16.01/2.90 | (ssPv14_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6 @ X7 @ X8 @ X9)
% 16.01/2.90 | (ssPv11_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6 @ X7 @ X8 @ X9)
% 16.01/2.90 | ~ (ssPv4_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6 @ X7 @ X8 @ X9))) |
% 16.01/2.90 ~ ( (ssNder1_0))),
% 16.01/2.90 inference('split', [status(esa)], [zip_derived_cl189])).
% 16.01/2.90 thf('24', plain,
% 16.01/2.90 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.90 X7 : $i, X8 : $i, X9 : $i]:
% 16.01/2.90 (~ (ssNder1_1r1 @ X0)
% 16.01/2.90 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.90 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.90 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.90 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.90 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.90 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.90 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.90 X7)
% 16.01/2.90 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6 @ X7 @ X8)
% 16.01/2.90 | (ssPv13_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6 @ X7 @ X8 @ X9)
% 16.01/2.90 | (ssPv14_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6 @ X7 @ X8 @ X9)
% 16.01/2.90 | (ssPv11_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6 @ X7 @ X8 @ X9)
% 16.01/2.90 | ~ (ssPv4_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6 @ X7 @ X8 @ X9)))),
% 16.01/2.90 inference('sat_resolution*', [status(thm)], ['0', '23'])).
% 16.01/2.90 thf(zip_derived_cl2672, plain,
% 16.01/2.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.90 X7 : $i, X8 : $i, X9 : $i]:
% 16.01/2.90 ( (ssPv13_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.90 X7 @ X8 @ X9)
% 16.01/2.90 | (ssPv14_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6 @ X7 @ X8 @ X9)
% 16.01/2.90 | (ssPv11_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6 @ X7 @ X8 @ X9)
% 16.01/2.90 | ~ (ssPv4_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6 @ X7 @ X8 @ X9))),
% 16.01/2.90 inference('simpl_trail', [status(thm)], [zip_derived_cl2671, '24'])).
% 16.01/2.90 thf(zip_derived_cl2674, plain,
% 16.01/2.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.90 X7 : $i, X8 : $i, X9 : $i]:
% 16.01/2.90 ( (ssPv11_10r1r1r1r1r1r1r1r1r1r1 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @
% 16.01/2.90 X2 @ X1 @ X0)
% 16.01/2.90 | (ssPv14_10r1r1r1r1r1r1r1r1r1r1 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @
% 16.01/2.90 X3 @ X2 @ X1 @ X0)
% 16.01/2.90 | (ssPv15_10r1r1r1r1r1r1r1r1r1r1 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @
% 16.01/2.90 X3 @ X2 @ X1 @ X0)
% 16.01/2.90 | (ssPv13_10r1r1r1r1r1r1r1r1r1r1 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @
% 16.01/2.90 X3 @ X2 @ X1 @ X0)
% 16.01/2.90 | (ssPv14_10r1r1r1r1r1r1r1r1r1r1 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @
% 16.01/2.90 X3 @ X2 @ X1 @ X0)
% 16.01/2.90 | (ssPv11_10r1r1r1r1r1r1r1r1r1r1 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @
% 16.01/2.90 X3 @ X2 @ X1 @ X0))),
% 16.01/2.90 inference('s_sup-', [status(thm)],
% 16.01/2.90 [zip_derived_cl2650, zip_derived_cl2672])).
% 16.01/2.90 thf(zip_derived_cl2675, plain,
% 16.01/2.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.90 X7 : $i, X8 : $i, X9 : $i]:
% 16.01/2.90 ( (ssPv13_10r1r1r1r1r1r1r1r1r1r1 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @
% 16.01/2.90 X2 @ X1 @ X0)
% 16.01/2.90 | (ssPv15_10r1r1r1r1r1r1r1r1r1r1 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @
% 16.01/2.90 X3 @ X2 @ X1 @ X0)
% 16.01/2.90 | (ssPv14_10r1r1r1r1r1r1r1r1r1r1 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @
% 16.01/2.90 X3 @ X2 @ X1 @ X0)
% 16.01/2.90 | (ssPv11_10r1r1r1r1r1r1r1r1r1r1 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @
% 16.01/2.90 X3 @ X2 @ X1 @ X0))),
% 16.01/2.90 inference('simplify', [status(thm)], [zip_derived_cl2674])).
% 16.01/2.90 thf(clause159, conjecture,
% 16.01/2.90 (~( ( ssPv15_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) |
% 16.01/2.90 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 16.01/2.90 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 16.01/2.90 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 16.01/2.90 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 16.01/2.90 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 16.01/2.90 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 16.01/2.90 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 16.01/2.90 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 16.01/2.90 ( ~( ssPv15_10r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.90 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 16.01/2.90 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) ))).
% 16.01/2.90 thf(zf_stmt_13, negated_conjecture,
% 16.01/2.90 (( ssPv15_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) |
% 16.01/2.90 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 16.01/2.90 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 16.01/2.90 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 16.01/2.90 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 16.01/2.90 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 16.01/2.90 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 16.01/2.90 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 16.01/2.90 ( ~( ssPv15_10r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.90 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 16.01/2.90 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) )),
% 16.01/2.90 inference('cnf.neg', [status(esa)], [clause159])).
% 16.01/2.90 thf(zip_derived_cl158, plain,
% 16.01/2.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.90 X7 : $i, X8 : $i, X9 : $i]:
% 16.01/2.90 ( (ssPv15_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.90 X7 @ X8)
% 16.01/2.90 | ~ (ssNder1_0)
% 16.01/2.90 | ~ (ssNder1_1r1 @ X0)
% 16.01/2.90 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.90 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.90 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.90 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.90 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.90 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.90 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.90 X7)
% 16.01/2.90 | ~ (ssPv15_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6 @ X7 @ X8 @ X9)
% 16.01/2.90 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6 @ X7 @ X8))),
% 16.01/2.90 inference('cnf', [status(esa)], [zf_stmt_13])).
% 16.01/2.90 thf(zip_derived_cl858, plain,
% 16.01/2.90 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.90 X7 : $i, X8 : $i, X9 : $i]:
% 16.01/2.90 (~ (ssNder1_1r1 @ X0)
% 16.01/2.90 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.90 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.90 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.90 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.90 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.90 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.90 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.90 X7)
% 16.01/2.90 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6 @ X7 @ X8)
% 16.01/2.90 | (ssPv15_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.90 X7 @ X8)
% 16.01/2.90 | ~ (ssPv15_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6 @ X7 @ X8 @ X9)))
% 16.01/2.90 <= ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.90 X7 : $i, X8 : $i, X9 : $i]:
% 16.01/2.90 (~ (ssNder1_1r1 @ X0)
% 16.01/2.90 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.90 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.90 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.90 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.90 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.90 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6)
% 16.01/2.90 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.90 X5 @ X6 @ X7)
% 16.01/2.90 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.90 X5 @ X6 @ X7 @ X8)
% 16.01/2.90 | (ssPv15_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.90 X5 @ X6 @ X7 @ X8)
% 16.01/2.90 | ~ (ssPv15_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.90 X5 @ X6 @ X7 @ X8 @ X9))))),
% 16.01/2.90 inference('split', [status(esa)], [zip_derived_cl158])).
% 16.01/2.90 thf(zip_derived_cl1634, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 16.01/2.90 inference('simpl_trail', [status(thm)], [zip_derived_cl544, '2'])).
% 16.01/2.90 thf(zip_derived_cl1646, plain,
% 16.01/2.90 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 16.01/2.90 inference('simpl_trail', [status(thm)], [zip_derived_cl1645, '4'])).
% 16.01/2.90 thf(zip_derived_cl1717, plain,
% 16.01/2.90 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 16.01/2.90 inference('simpl_trail', [status(thm)], [zip_derived_cl1716, '6'])).
% 16.01/2.90 thf(zip_derived_cl1805, plain,
% 16.01/2.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 16.01/2.90 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 16.01/2.90 inference('simpl_trail', [status(thm)], [zip_derived_cl1804, '10'])).
% 16.01/2.90 thf(zip_derived_cl1967, plain,
% 16.01/2.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 16.01/2.90 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 16.01/2.90 inference('simpl_trail', [status(thm)], [zip_derived_cl1966, '12'])).
% 16.01/2.90 thf(zip_derived_cl2176, plain,
% 16.01/2.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 16.01/2.90 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 16.01/2.90 inference('simpl_trail', [status(thm)], [zip_derived_cl2175, '14'])).
% 16.01/2.90 thf(zip_derived_cl2322, plain,
% 16.01/2.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 16.01/2.90 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 16.01/2.90 inference('simpl_trail', [status(thm)], [zip_derived_cl2321, '16'])).
% 16.01/2.90 thf(zip_derived_cl2380, plain,
% 16.01/2.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 16.01/2.90 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 16.01/2.90 inference('simpl_trail', [status(thm)], [zip_derived_cl2379, '18'])).
% 16.01/2.90 thf(zip_derived_cl2438, plain,
% 16.01/2.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.90 X7 : $i, X8 : $i]:
% 16.01/2.90 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.90 X7 @ X8)),
% 16.01/2.90 inference('simpl_trail', [status(thm)], [zip_derived_cl2437, '20'])).
% 16.01/2.90 thf(zip_derived_cl2530, plain,
% 16.01/2.90 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.90 X7 : $i, X8 : $i, X9 : $i]:
% 16.01/2.90 ( (ssPv15_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.90 X7 @ X8)
% 16.01/2.90 | ~ (ssPv15_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6 @ X7 @ X8 @ X9)))
% 16.01/2.90 <= ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.90 X7 : $i, X8 : $i, X9 : $i]:
% 16.01/2.90 (~ (ssNder1_1r1 @ X0)
% 16.01/2.90 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.90 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.90 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.90 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.90 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.90 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6)
% 16.01/2.90 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.90 X5 @ X6 @ X7)
% 16.01/2.90 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.90 X5 @ X6 @ X7 @ X8)
% 16.01/2.90 | (ssPv15_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.90 X5 @ X6 @ X7 @ X8)
% 16.01/2.90 | ~ (ssPv15_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.90 X5 @ X6 @ X7 @ X8 @ X9))))),
% 16.01/2.90 inference('demod', [status(thm)],
% 16.01/2.90 [zip_derived_cl858, zip_derived_cl1634, zip_derived_cl1646,
% 16.01/2.90 zip_derived_cl1717, zip_derived_cl1805, zip_derived_cl1967,
% 16.01/2.90 zip_derived_cl2176, zip_derived_cl2322, zip_derived_cl2380,
% 16.01/2.90 zip_derived_cl2438])).
% 16.01/2.90 thf('25', plain,
% 16.01/2.90 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.90 X7 : $i, X8 : $i, X9 : $i]:
% 16.01/2.90 (~ (ssNder1_1r1 @ X0)
% 16.01/2.90 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.90 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.90 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.90 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.90 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.90 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.90 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.90 X7)
% 16.01/2.90 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6 @ X7 @ X8)
% 16.01/2.90 | (ssPv15_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.90 X7 @ X8)
% 16.01/2.90 | ~ (ssPv15_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6 @ X7 @ X8 @ X9))) |
% 16.01/2.90 ~ ( (ssNder1_0))),
% 16.01/2.90 inference('split', [status(esa)], [zip_derived_cl158])).
% 16.01/2.90 thf('26', plain,
% 16.01/2.90 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.90 X7 : $i, X8 : $i, X9 : $i]:
% 16.01/2.90 (~ (ssNder1_1r1 @ X0)
% 16.01/2.90 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.90 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.90 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.90 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.90 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.90 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.90 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.90 X7)
% 16.01/2.90 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6 @ X7 @ X8)
% 16.01/2.90 | (ssPv15_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.90 X7 @ X8)
% 16.01/2.90 | ~ (ssPv15_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6 @ X7 @ X8 @ X9)))),
% 16.01/2.90 inference('sat_resolution*', [status(thm)], ['0', '25'])).
% 16.01/2.90 thf(zip_derived_cl2531, plain,
% 16.01/2.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.90 X7 : $i, X8 : $i, X9 : $i]:
% 16.01/2.90 ( (ssPv15_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.90 X7 @ X8)
% 16.01/2.90 | ~ (ssPv15_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6 @ X7 @ X8 @ X9))),
% 16.01/2.90 inference('simpl_trail', [status(thm)], [zip_derived_cl2530, '26'])).
% 16.01/2.90 thf(zip_derived_cl3604, plain,
% 16.01/2.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.90 X7 : $i, X8 : $i, X9 : $i]:
% 16.01/2.90 ( (ssPv11_10r1r1r1r1r1r1r1r1r1r1 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @
% 16.01/2.90 X2 @ X1 @ X0)
% 16.01/2.90 | (ssPv14_10r1r1r1r1r1r1r1r1r1r1 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @
% 16.01/2.90 X3 @ X2 @ X1 @ X0)
% 16.01/2.90 | (ssPv13_10r1r1r1r1r1r1r1r1r1r1 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @
% 16.01/2.90 X3 @ X2 @ X1 @ X0)
% 16.01/2.90 | (ssPv15_9r1r1r1r1r1r1r1r1r1 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @
% 16.01/2.90 X2 @ X1))),
% 16.01/2.90 inference('s_sup-', [status(thm)],
% 16.01/2.90 [zip_derived_cl2675, zip_derived_cl2531])).
% 16.01/2.90 thf(clause143, conjecture,
% 16.01/2.90 (~( ( ssPv13_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) |
% 16.01/2.90 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 16.01/2.90 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 16.01/2.90 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 16.01/2.90 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 16.01/2.90 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 16.01/2.90 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 16.01/2.90 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 16.01/2.90 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 16.01/2.90 ( ~( ssPv13_10r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.90 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 16.01/2.90 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) ))).
% 16.01/2.90 thf(zf_stmt_14, negated_conjecture,
% 16.01/2.90 (( ssPv13_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) |
% 16.01/2.90 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 16.01/2.90 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 16.01/2.90 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 16.01/2.90 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 16.01/2.90 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 16.01/2.90 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 16.01/2.90 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 16.01/2.90 ( ~( ssPv13_10r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.90 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 16.01/2.90 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) )),
% 16.01/2.90 inference('cnf.neg', [status(esa)], [clause143])).
% 16.01/2.90 thf(zip_derived_cl142, plain,
% 16.01/2.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.90 X7 : $i, X8 : $i, X9 : $i]:
% 16.01/2.90 ( (ssPv13_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.90 X7 @ X8)
% 16.01/2.90 | ~ (ssNder1_0)
% 16.01/2.90 | ~ (ssNder1_1r1 @ X0)
% 16.01/2.90 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.90 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.90 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.90 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.90 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.90 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.90 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.90 X7)
% 16.01/2.90 | ~ (ssPv13_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6 @ X7 @ X8 @ X9)
% 16.01/2.90 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6 @ X7 @ X8))),
% 16.01/2.90 inference('cnf', [status(esa)], [zf_stmt_14])).
% 16.01/2.90 thf(zip_derived_cl826, plain,
% 16.01/2.90 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.90 X7 : $i, X8 : $i, X9 : $i]:
% 16.01/2.90 (~ (ssNder1_1r1 @ X0)
% 16.01/2.90 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.90 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.90 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.90 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.90 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.90 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.90 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.90 X7)
% 16.01/2.90 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6 @ X7 @ X8)
% 16.01/2.90 | (ssPv13_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.90 X7 @ X8)
% 16.01/2.90 | ~ (ssPv13_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6 @ X7 @ X8 @ X9)))
% 16.01/2.90 <= ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.90 X7 : $i, X8 : $i, X9 : $i]:
% 16.01/2.90 (~ (ssNder1_1r1 @ X0)
% 16.01/2.90 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.90 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.90 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.90 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.90 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.90 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6)
% 16.01/2.90 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.90 X5 @ X6 @ X7)
% 16.01/2.90 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.90 X5 @ X6 @ X7 @ X8)
% 16.01/2.90 | (ssPv13_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.90 X5 @ X6 @ X7 @ X8)
% 16.01/2.90 | ~ (ssPv13_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.90 X5 @ X6 @ X7 @ X8 @ X9))))),
% 16.01/2.90 inference('split', [status(esa)], [zip_derived_cl142])).
% 16.01/2.90 thf(zip_derived_cl1634, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 16.01/2.90 inference('simpl_trail', [status(thm)], [zip_derived_cl544, '2'])).
% 16.01/2.90 thf(zip_derived_cl1646, plain,
% 16.01/2.90 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 16.01/2.90 inference('simpl_trail', [status(thm)], [zip_derived_cl1645, '4'])).
% 16.01/2.90 thf(zip_derived_cl1717, plain,
% 16.01/2.90 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 16.01/2.90 inference('simpl_trail', [status(thm)], [zip_derived_cl1716, '6'])).
% 16.01/2.90 thf(zip_derived_cl1805, plain,
% 16.01/2.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 16.01/2.90 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 16.01/2.90 inference('simpl_trail', [status(thm)], [zip_derived_cl1804, '10'])).
% 16.01/2.90 thf(zip_derived_cl1967, plain,
% 16.01/2.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 16.01/2.90 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 16.01/2.90 inference('simpl_trail', [status(thm)], [zip_derived_cl1966, '12'])).
% 16.01/2.90 thf(zip_derived_cl2176, plain,
% 16.01/2.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 16.01/2.90 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 16.01/2.90 inference('simpl_trail', [status(thm)], [zip_derived_cl2175, '14'])).
% 16.01/2.90 thf(zip_derived_cl2322, plain,
% 16.01/2.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 16.01/2.90 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 16.01/2.90 inference('simpl_trail', [status(thm)], [zip_derived_cl2321, '16'])).
% 16.01/2.90 thf(zip_derived_cl2380, plain,
% 16.01/2.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 16.01/2.90 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 16.01/2.90 inference('simpl_trail', [status(thm)], [zip_derived_cl2379, '18'])).
% 16.01/2.90 thf(zip_derived_cl2438, plain,
% 16.01/2.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.90 X7 : $i, X8 : $i]:
% 16.01/2.90 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.90 X7 @ X8)),
% 16.01/2.90 inference('simpl_trail', [status(thm)], [zip_derived_cl2437, '20'])).
% 16.01/2.90 thf(zip_derived_cl2503, plain,
% 16.01/2.90 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.90 X7 : $i, X8 : $i, X9 : $i]:
% 16.01/2.90 ( (ssPv13_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.90 X7 @ X8)
% 16.01/2.90 | ~ (ssPv13_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6 @ X7 @ X8 @ X9)))
% 16.01/2.90 <= ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.90 X7 : $i, X8 : $i, X9 : $i]:
% 16.01/2.90 (~ (ssNder1_1r1 @ X0)
% 16.01/2.90 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.90 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.90 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.90 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.90 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.90 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6)
% 16.01/2.90 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.90 X5 @ X6 @ X7)
% 16.01/2.90 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.90 X5 @ X6 @ X7 @ X8)
% 16.01/2.90 | (ssPv13_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.90 X5 @ X6 @ X7 @ X8)
% 16.01/2.90 | ~ (ssPv13_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.90 X5 @ X6 @ X7 @ X8 @ X9))))),
% 16.01/2.90 inference('demod', [status(thm)],
% 16.01/2.90 [zip_derived_cl826, zip_derived_cl1634, zip_derived_cl1646,
% 16.01/2.90 zip_derived_cl1717, zip_derived_cl1805, zip_derived_cl1967,
% 16.01/2.90 zip_derived_cl2176, zip_derived_cl2322, zip_derived_cl2380,
% 16.01/2.90 zip_derived_cl2438])).
% 16.01/2.90 thf('27', plain,
% 16.01/2.90 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.90 X7 : $i, X8 : $i, X9 : $i]:
% 16.01/2.90 (~ (ssNder1_1r1 @ X0)
% 16.01/2.90 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.90 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.90 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.90 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.90 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.90 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.90 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.90 X7)
% 16.01/2.90 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6 @ X7 @ X8)
% 16.01/2.90 | (ssPv13_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.90 X7 @ X8)
% 16.01/2.90 | ~ (ssPv13_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6 @ X7 @ X8 @ X9))) |
% 16.01/2.90 ~ ( (ssNder1_0))),
% 16.01/2.90 inference('split', [status(esa)], [zip_derived_cl142])).
% 16.01/2.90 thf('28', plain,
% 16.01/2.90 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.90 X7 : $i, X8 : $i, X9 : $i]:
% 16.01/2.90 (~ (ssNder1_1r1 @ X0)
% 16.01/2.90 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.90 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.90 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.90 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.90 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.90 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.90 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.90 X7)
% 16.01/2.90 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6 @ X7 @ X8)
% 16.01/2.90 | (ssPv13_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.90 X7 @ X8)
% 16.01/2.90 | ~ (ssPv13_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6 @ X7 @ X8 @ X9)))),
% 16.01/2.90 inference('sat_resolution*', [status(thm)], ['0', '27'])).
% 16.01/2.90 thf(zip_derived_cl2504, plain,
% 16.01/2.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.90 X7 : $i, X8 : $i, X9 : $i]:
% 16.01/2.90 ( (ssPv13_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.90 X7 @ X8)
% 16.01/2.90 | ~ (ssPv13_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6 @ X7 @ X8 @ X9))),
% 16.01/2.90 inference('simpl_trail', [status(thm)], [zip_derived_cl2503, '28'])).
% 16.01/2.90 thf(zip_derived_cl3616, plain,
% 16.01/2.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.90 X7 : $i, X8 : $i, X9 : $i]:
% 16.01/2.90 ( (ssPv15_9r1r1r1r1r1r1r1r1r1 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @
% 16.01/2.90 X2 @ X1)
% 16.01/2.90 | (ssPv14_10r1r1r1r1r1r1r1r1r1r1 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @
% 16.01/2.90 X3 @ X2 @ X1 @ X0)
% 16.01/2.90 | (ssPv11_10r1r1r1r1r1r1r1r1r1r1 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @
% 16.01/2.90 X3 @ X2 @ X1 @ X0)
% 16.01/2.90 | (ssPv13_9r1r1r1r1r1r1r1r1r1 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @
% 16.01/2.90 X2 @ X1))),
% 16.01/2.90 inference('s_sup-', [status(thm)],
% 16.01/2.90 [zip_derived_cl3604, zip_derived_cl2504])).
% 16.01/2.90 thf(clause131, conjecture,
% 16.01/2.90 (~( ( ssPv13_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) |
% 16.01/2.90 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 16.01/2.90 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 16.01/2.90 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 16.01/2.90 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 16.01/2.90 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 16.01/2.90 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 16.01/2.90 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 16.01/2.90 ( ~( ssPv13_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 16.01/2.90 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) ))).
% 16.01/2.90 thf(zf_stmt_15, negated_conjecture,
% 16.01/2.90 (( ssPv13_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) |
% 16.01/2.90 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 16.01/2.90 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 16.01/2.90 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 16.01/2.90 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 16.01/2.90 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 16.01/2.90 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 16.01/2.90 ( ~( ssPv13_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 16.01/2.90 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) )),
% 16.01/2.90 inference('cnf.neg', [status(esa)], [clause131])).
% 16.01/2.90 thf(zip_derived_cl130, plain,
% 16.01/2.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.90 X7 : $i, X8 : $i]:
% 16.01/2.90 ( (ssPv13_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)
% 16.01/2.90 | ~ (ssNder1_0)
% 16.01/2.90 | ~ (ssNder1_1r1 @ X0)
% 16.01/2.90 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.90 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.90 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.90 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.90 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.90 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.90 | ~ (ssPv13_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.90 X7 @ X8)
% 16.01/2.90 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.90 X7))),
% 16.01/2.90 inference('cnf', [status(esa)], [zf_stmt_15])).
% 16.01/2.90 thf(zip_derived_cl802, plain,
% 16.01/2.90 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.90 X7 : $i, X8 : $i]:
% 16.01/2.90 (~ (ssNder1_1r1 @ X0)
% 16.01/2.90 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.90 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.90 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.90 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.90 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.90 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.90 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.90 X7)
% 16.01/2.90 | ~ (ssPv13_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6 @ X7 @ X8)
% 16.01/2.90 | (ssPv13_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)))
% 16.01/2.90 <= ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.90 X7 : $i, X8 : $i]:
% 16.01/2.90 (~ (ssNder1_1r1 @ X0)
% 16.01/2.90 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.90 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.90 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.90 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.90 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.90 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6)
% 16.01/2.90 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.90 X5 @ X6 @ X7)
% 16.01/2.90 | ~ (ssPv13_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.90 X5 @ X6 @ X7 @ X8)
% 16.01/2.90 | (ssPv13_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6 @ X7))))),
% 16.01/2.90 inference('split', [status(esa)], [zip_derived_cl130])).
% 16.01/2.90 thf(zip_derived_cl1634, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 16.01/2.90 inference('simpl_trail', [status(thm)], [zip_derived_cl544, '2'])).
% 16.01/2.90 thf(zip_derived_cl1646, plain,
% 16.01/2.90 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 16.01/2.90 inference('simpl_trail', [status(thm)], [zip_derived_cl1645, '4'])).
% 16.01/2.90 thf(zip_derived_cl1717, plain,
% 16.01/2.90 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 16.01/2.90 inference('simpl_trail', [status(thm)], [zip_derived_cl1716, '6'])).
% 16.01/2.90 thf(zip_derived_cl1805, plain,
% 16.01/2.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 16.01/2.90 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 16.01/2.90 inference('simpl_trail', [status(thm)], [zip_derived_cl1804, '10'])).
% 16.01/2.90 thf(zip_derived_cl1967, plain,
% 16.01/2.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 16.01/2.90 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 16.01/2.90 inference('simpl_trail', [status(thm)], [zip_derived_cl1966, '12'])).
% 16.01/2.90 thf(zip_derived_cl2176, plain,
% 16.01/2.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 16.01/2.90 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 16.01/2.90 inference('simpl_trail', [status(thm)], [zip_derived_cl2175, '14'])).
% 16.01/2.90 thf(zip_derived_cl2322, plain,
% 16.01/2.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 16.01/2.90 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 16.01/2.90 inference('simpl_trail', [status(thm)], [zip_derived_cl2321, '16'])).
% 16.01/2.90 thf(zip_derived_cl2380, plain,
% 16.01/2.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 16.01/2.90 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 16.01/2.90 inference('simpl_trail', [status(thm)], [zip_derived_cl2379, '18'])).
% 16.01/2.90 thf(zip_derived_cl2464, plain,
% 16.01/2.90 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.90 X7 : $i, X8 : $i]:
% 16.01/2.90 (~ (ssPv13_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.90 X7 @ X8)
% 16.01/2.90 | (ssPv13_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)))
% 16.01/2.90 <= ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.90 X7 : $i, X8 : $i]:
% 16.01/2.90 (~ (ssNder1_1r1 @ X0)
% 16.01/2.90 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.90 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.90 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.90 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.90 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.90 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6)
% 16.01/2.90 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.90 X5 @ X6 @ X7)
% 16.01/2.90 | ~ (ssPv13_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.90 X5 @ X6 @ X7 @ X8)
% 16.01/2.90 | (ssPv13_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6 @ X7))))),
% 16.01/2.90 inference('demod', [status(thm)],
% 16.01/2.90 [zip_derived_cl802, zip_derived_cl1634, zip_derived_cl1646,
% 16.01/2.90 zip_derived_cl1717, zip_derived_cl1805, zip_derived_cl1967,
% 16.01/2.90 zip_derived_cl2176, zip_derived_cl2322, zip_derived_cl2380])).
% 16.01/2.90 thf('29', plain,
% 16.01/2.90 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.90 X7 : $i, X8 : $i]:
% 16.01/2.90 (~ (ssNder1_1r1 @ X0)
% 16.01/2.90 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.90 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.90 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.90 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.90 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.90 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.90 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.90 X7)
% 16.01/2.90 | ~ (ssPv13_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6 @ X7 @ X8)
% 16.01/2.90 | (ssPv13_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7))) |
% 16.01/2.90 ~ ( (ssNder1_0))),
% 16.01/2.90 inference('split', [status(esa)], [zip_derived_cl130])).
% 16.01/2.90 thf('30', plain,
% 16.01/2.90 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.90 X7 : $i, X8 : $i]:
% 16.01/2.90 (~ (ssNder1_1r1 @ X0)
% 16.01/2.90 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.90 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.90 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.90 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.90 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.90 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.90 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.90 X7)
% 16.01/2.90 | ~ (ssPv13_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6 @ X7 @ X8)
% 16.01/2.90 | (ssPv13_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)))),
% 16.01/2.90 inference('sat_resolution*', [status(thm)], ['0', '29'])).
% 16.01/2.90 thf(zip_derived_cl2465, plain,
% 16.01/2.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.90 X7 : $i, X8 : $i]:
% 16.01/2.90 (~ (ssPv13_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.90 X7 @ X8)
% 16.01/2.90 | (ssPv13_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7))),
% 16.01/2.90 inference('simpl_trail', [status(thm)], [zip_derived_cl2464, '30'])).
% 16.01/2.90 thf(zip_derived_cl3630, plain,
% 16.01/2.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.90 X7 : $i, X8 : $i, X9 : $i]:
% 16.01/2.90 ( (ssPv11_10r1r1r1r1r1r1r1r1r1r1 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @
% 16.01/2.90 X1 @ X0 @ X9)
% 16.01/2.90 | (ssPv14_10r1r1r1r1r1r1r1r1r1r1 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @
% 16.01/2.90 X2 @ X1 @ X0 @ X9)
% 16.01/2.90 | (ssPv15_9r1r1r1r1r1r1r1r1r1 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @
% 16.01/2.90 X1 @ X0)
% 16.01/2.90 | (ssPv13_8r1r1r1r1r1r1r1r1 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1))),
% 16.01/2.90 inference('s_sup-', [status(thm)],
% 16.01/2.90 [zip_derived_cl3616, zip_derived_cl2465])).
% 16.01/2.90 thf(clause129, conjecture,
% 16.01/2.90 (~( ( ssPv15_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) |
% 16.01/2.90 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 16.01/2.90 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 16.01/2.90 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 16.01/2.90 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 16.01/2.90 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 16.01/2.90 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 16.01/2.90 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 16.01/2.90 ( ~( ssPv15_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 16.01/2.90 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) ))).
% 16.01/2.90 thf(zf_stmt_16, negated_conjecture,
% 16.01/2.90 (( ssPv15_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) |
% 16.01/2.90 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 16.01/2.90 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 16.01/2.90 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 16.01/2.90 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 16.01/2.90 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 16.01/2.90 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 16.01/2.90 ( ~( ssPv15_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 16.01/2.90 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) )),
% 16.01/2.90 inference('cnf.neg', [status(esa)], [clause129])).
% 16.01/2.90 thf(zip_derived_cl128, plain,
% 16.01/2.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.90 X7 : $i, X8 : $i]:
% 16.01/2.90 ( (ssPv15_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)
% 16.01/2.90 | ~ (ssNder1_0)
% 16.01/2.90 | ~ (ssNder1_1r1 @ X0)
% 16.01/2.90 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.90 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.90 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.90 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.90 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.90 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.90 | ~ (ssPv15_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.90 X7 @ X8)
% 16.01/2.90 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.90 X7))),
% 16.01/2.90 inference('cnf', [status(esa)], [zf_stmt_16])).
% 16.01/2.90 thf(zip_derived_cl798, plain,
% 16.01/2.90 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.90 X7 : $i, X8 : $i]:
% 16.01/2.90 (~ (ssNder1_1r1 @ X0)
% 16.01/2.90 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.90 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.90 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.90 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.90 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.90 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.90 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.90 X7)
% 16.01/2.90 | (ssPv15_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)
% 16.01/2.90 | ~ (ssPv15_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6 @ X7 @ X8)))
% 16.01/2.90 <= ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.90 X7 : $i, X8 : $i]:
% 16.01/2.90 (~ (ssNder1_1r1 @ X0)
% 16.01/2.90 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.90 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.90 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.90 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.90 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.90 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6)
% 16.01/2.90 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.90 X5 @ X6 @ X7)
% 16.01/2.90 | (ssPv15_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6 @ X7)
% 16.01/2.90 | ~ (ssPv15_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.90 X5 @ X6 @ X7 @ X8))))),
% 16.01/2.90 inference('split', [status(esa)], [zip_derived_cl128])).
% 16.01/2.90 thf(zip_derived_cl1634, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 16.01/2.90 inference('simpl_trail', [status(thm)], [zip_derived_cl544, '2'])).
% 16.01/2.90 thf(zip_derived_cl1646, plain,
% 16.01/2.90 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 16.01/2.90 inference('simpl_trail', [status(thm)], [zip_derived_cl1645, '4'])).
% 16.01/2.90 thf(zip_derived_cl1717, plain,
% 16.01/2.90 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 16.01/2.90 inference('simpl_trail', [status(thm)], [zip_derived_cl1716, '6'])).
% 16.01/2.90 thf(zip_derived_cl1805, plain,
% 16.01/2.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 16.01/2.90 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 16.01/2.90 inference('simpl_trail', [status(thm)], [zip_derived_cl1804, '10'])).
% 16.01/2.90 thf(zip_derived_cl1967, plain,
% 16.01/2.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 16.01/2.90 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 16.01/2.90 inference('simpl_trail', [status(thm)], [zip_derived_cl1966, '12'])).
% 16.01/2.90 thf(zip_derived_cl2176, plain,
% 16.01/2.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 16.01/2.90 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 16.01/2.90 inference('simpl_trail', [status(thm)], [zip_derived_cl2175, '14'])).
% 16.01/2.90 thf(zip_derived_cl2322, plain,
% 16.01/2.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 16.01/2.90 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 16.01/2.90 inference('simpl_trail', [status(thm)], [zip_derived_cl2321, '16'])).
% 16.01/2.90 thf(zip_derived_cl2380, plain,
% 16.01/2.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 16.01/2.90 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 16.01/2.90 inference('simpl_trail', [status(thm)], [zip_derived_cl2379, '18'])).
% 16.01/2.90 thf(zip_derived_cl2458, plain,
% 16.01/2.90 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.90 X7 : $i, X8 : $i]:
% 16.01/2.90 ( (ssPv15_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)
% 16.01/2.90 | ~ (ssPv15_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6 @ X7 @ X8)))
% 16.01/2.90 <= ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.90 X7 : $i, X8 : $i]:
% 16.01/2.90 (~ (ssNder1_1r1 @ X0)
% 16.01/2.90 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.90 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.90 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.90 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.90 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.90 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6)
% 16.01/2.90 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.90 X5 @ X6 @ X7)
% 16.01/2.90 | (ssPv15_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6 @ X7)
% 16.01/2.90 | ~ (ssPv15_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.90 X5 @ X6 @ X7 @ X8))))),
% 16.01/2.90 inference('demod', [status(thm)],
% 16.01/2.90 [zip_derived_cl798, zip_derived_cl1634, zip_derived_cl1646,
% 16.01/2.90 zip_derived_cl1717, zip_derived_cl1805, zip_derived_cl1967,
% 16.01/2.90 zip_derived_cl2176, zip_derived_cl2322, zip_derived_cl2380])).
% 16.01/2.90 thf('31', plain,
% 16.01/2.90 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.90 X7 : $i, X8 : $i]:
% 16.01/2.90 (~ (ssNder1_1r1 @ X0)
% 16.01/2.90 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.90 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.90 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.90 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.90 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.90 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.90 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.90 X7)
% 16.01/2.90 | (ssPv15_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)
% 16.01/2.90 | ~ (ssPv15_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6 @ X7 @ X8))) |
% 16.01/2.90 ~ ( (ssNder1_0))),
% 16.01/2.90 inference('split', [status(esa)], [zip_derived_cl128])).
% 16.01/2.90 thf('32', plain,
% 16.01/2.90 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.90 X7 : $i, X8 : $i]:
% 16.01/2.90 (~ (ssNder1_1r1 @ X0)
% 16.01/2.90 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.90 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.90 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.90 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.90 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.90 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.90 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.90 X7)
% 16.01/2.90 | (ssPv15_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)
% 16.01/2.90 | ~ (ssPv15_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6 @ X7 @ X8)))),
% 16.01/2.90 inference('sat_resolution*', [status(thm)], ['0', '31'])).
% 16.01/2.90 thf(zip_derived_cl2459, plain,
% 16.01/2.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.90 X7 : $i, X8 : $i]:
% 16.01/2.90 ( (ssPv15_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)
% 16.01/2.90 | ~ (ssPv15_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.90 X7 @ X8))),
% 16.01/2.90 inference('simpl_trail', [status(thm)], [zip_derived_cl2458, '32'])).
% 16.01/2.90 thf(zip_derived_cl3642, plain,
% 16.01/2.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.90 X7 : $i, X8 : $i, X9 : $i]:
% 16.01/2.90 ( (ssPv13_8r1r1r1r1r1r1r1r1 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1)
% 16.01/2.90 | (ssPv14_10r1r1r1r1r1r1r1r1r1r1 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @
% 16.01/2.90 X2 @ X1 @ X0 @ X9)
% 16.01/2.90 | (ssPv11_10r1r1r1r1r1r1r1r1r1r1 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @
% 16.01/2.90 X2 @ X1 @ X0 @ X9)
% 16.01/2.90 | (ssPv15_8r1r1r1r1r1r1r1r1 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1))),
% 16.01/2.90 inference('s_sup-', [status(thm)],
% 16.01/2.90 [zip_derived_cl3630, zip_derived_cl2459])).
% 16.01/2.90 thf(clause167, conjecture,
% 16.01/2.90 (~( ( ssPv11_11r1r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.90 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) |
% 16.01/2.90 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 16.01/2.90 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 16.01/2.90 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 16.01/2.90 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 16.01/2.90 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 16.01/2.90 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 16.01/2.90 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 16.01/2.90 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 16.01/2.90 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 16.01/2.90 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.90 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 16.01/2.90 ( ~( ssPv11_10r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.90 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) ))).
% 16.01/2.90 thf(zf_stmt_17, negated_conjecture,
% 16.01/2.90 (( ssPv11_11r1r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.90 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) |
% 16.01/2.90 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 16.01/2.90 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 16.01/2.90 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 16.01/2.90 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 16.01/2.90 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 16.01/2.90 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 16.01/2.90 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 16.01/2.90 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 16.01/2.90 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.90 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 16.01/2.90 ( ~( ssPv11_10r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.90 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) )),
% 16.01/2.90 inference('cnf.neg', [status(esa)], [clause167])).
% 16.01/2.90 thf(zip_derived_cl166, plain,
% 16.01/2.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.90 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 16.01/2.90 ( (ssPv11_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6 @ X7 @ X8 @ X9 @ X10)
% 16.01/2.90 | ~ (ssNder1_0)
% 16.01/2.90 | ~ (ssNder1_1r1 @ X0)
% 16.01/2.90 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.90 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.90 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.90 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.90 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.90 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.90 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.90 X7)
% 16.01/2.90 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6 @ X7 @ X8)
% 16.01/2.90 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6 @ X7 @ X8 @ X9)
% 16.01/2.90 | ~ (ssPv11_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6 @ X7 @ X8 @ X9))),
% 16.01/2.90 inference('cnf', [status(esa)], [zf_stmt_17])).
% 16.01/2.90 thf(zip_derived_cl874, plain,
% 16.01/2.90 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.90 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 16.01/2.90 (~ (ssNder1_1r1 @ X0)
% 16.01/2.90 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.90 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.90 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.90 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.90 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.90 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.90 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.90 X7)
% 16.01/2.90 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6 @ X7 @ X8)
% 16.01/2.90 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6 @ X7 @ X8 @ X9)
% 16.01/2.90 | (ssPv11_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6 @ X7 @ X8 @ X9 @ X10)
% 16.01/2.90 | ~ (ssPv11_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6 @ X7 @ X8 @ X9)))
% 16.01/2.90 <= ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.90 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 16.01/2.90 (~ (ssNder1_1r1 @ X0)
% 16.01/2.90 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.90 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.90 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.90 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.90 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.90 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6)
% 16.01/2.90 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.90 X5 @ X6 @ X7)
% 16.01/2.90 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.90 X5 @ X6 @ X7 @ X8)
% 16.01/2.90 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.90 X4 @ X5 @ X6 @ X7 @ X8 @ X9)
% 16.01/2.90 | (ssPv11_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.90 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 16.01/2.90 | ~ (ssPv11_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.90 X5 @ X6 @ X7 @ X8 @ X9))))),
% 16.01/2.90 inference('split', [status(esa)], [zip_derived_cl166])).
% 16.01/2.90 thf(zip_derived_cl1634, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 16.01/2.90 inference('simpl_trail', [status(thm)], [zip_derived_cl544, '2'])).
% 16.01/2.90 thf(zip_derived_cl1646, plain,
% 16.01/2.90 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 16.01/2.90 inference('simpl_trail', [status(thm)], [zip_derived_cl1645, '4'])).
% 16.01/2.90 thf(zip_derived_cl1717, plain,
% 16.01/2.90 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 16.01/2.90 inference('simpl_trail', [status(thm)], [zip_derived_cl1716, '6'])).
% 16.01/2.90 thf(zip_derived_cl1805, plain,
% 16.01/2.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 16.01/2.90 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 16.01/2.90 inference('simpl_trail', [status(thm)], [zip_derived_cl1804, '10'])).
% 16.01/2.90 thf(zip_derived_cl1967, plain,
% 16.01/2.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 16.01/2.90 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 16.01/2.90 inference('simpl_trail', [status(thm)], [zip_derived_cl1966, '12'])).
% 16.01/2.90 thf(zip_derived_cl2176, plain,
% 16.01/2.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 16.01/2.90 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 16.01/2.90 inference('simpl_trail', [status(thm)], [zip_derived_cl2175, '14'])).
% 16.01/2.90 thf(zip_derived_cl2322, plain,
% 16.01/2.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 16.01/2.90 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 16.01/2.90 inference('simpl_trail', [status(thm)], [zip_derived_cl2321, '16'])).
% 16.01/2.90 thf(zip_derived_cl2380, plain,
% 16.01/2.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 16.01/2.90 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 16.01/2.90 inference('simpl_trail', [status(thm)], [zip_derived_cl2379, '18'])).
% 16.01/2.90 thf(zip_derived_cl2438, plain,
% 16.01/2.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.90 X7 : $i, X8 : $i]:
% 16.01/2.90 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.90 X7 @ X8)),
% 16.01/2.90 inference('simpl_trail', [status(thm)], [zip_derived_cl2437, '20'])).
% 16.01/2.90 thf(clause136, conjecture,
% 16.01/2.90 (~( ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.90 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) |
% 16.01/2.90 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 16.01/2.90 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 16.01/2.90 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 16.01/2.90 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 16.01/2.90 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 16.01/2.90 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 16.01/2.90 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 16.01/2.90 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 16.01/2.90 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) ))).
% 16.01/2.90 thf(zf_stmt_18, negated_conjecture,
% 16.01/2.90 (( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.90 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) |
% 16.01/2.90 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 16.01/2.90 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 16.01/2.90 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 16.01/2.90 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 16.01/2.90 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 16.01/2.90 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 16.01/2.90 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 16.01/2.90 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) )),
% 16.01/2.90 inference('cnf.neg', [status(esa)], [clause136])).
% 16.01/2.90 thf(zip_derived_cl135, plain,
% 16.01/2.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.90 X7 : $i, X8 : $i, X9 : $i]:
% 16.01/2.90 ( (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6 @ X7 @ X8 @ X9)
% 16.01/2.90 | ~ (ssNder1_0)
% 16.01/2.90 | ~ (ssNder1_1r1 @ X0)
% 16.01/2.90 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.90 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.90 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.90 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.90 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.90 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.90 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.90 X7)
% 16.01/2.90 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6 @ X7 @ X8))),
% 16.01/2.90 inference('cnf', [status(esa)], [zf_stmt_18])).
% 16.01/2.90 thf(zip_derived_cl812, plain,
% 16.01/2.90 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.90 X7 : $i, X8 : $i, X9 : $i]:
% 16.01/2.90 (~ (ssNder1_1r1 @ X0)
% 16.01/2.90 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.90 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.90 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.90 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.90 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.90 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.90 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.90 X7)
% 16.01/2.90 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6 @ X7 @ X8)
% 16.01/2.90 | (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6 @ X7 @ X8 @ X9)))
% 16.01/2.90 <= ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.90 X7 : $i, X8 : $i, X9 : $i]:
% 16.01/2.90 (~ (ssNder1_1r1 @ X0)
% 16.01/2.90 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.90 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.90 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.90 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.90 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.90 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6)
% 16.01/2.90 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.90 X5 @ X6 @ X7)
% 16.01/2.90 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.90 X5 @ X6 @ X7 @ X8)
% 16.01/2.90 | (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.90 X5 @ X6 @ X7 @ X8 @ X9))))),
% 16.01/2.90 inference('split', [status(esa)], [zip_derived_cl135])).
% 16.01/2.90 thf(zip_derived_cl1634, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 16.01/2.90 inference('simpl_trail', [status(thm)], [zip_derived_cl544, '2'])).
% 16.01/2.90 thf(zip_derived_cl1646, plain,
% 16.01/2.90 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 16.01/2.90 inference('simpl_trail', [status(thm)], [zip_derived_cl1645, '4'])).
% 16.01/2.90 thf(zip_derived_cl1717, plain,
% 16.01/2.90 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 16.01/2.90 inference('simpl_trail', [status(thm)], [zip_derived_cl1716, '6'])).
% 16.01/2.90 thf(zip_derived_cl1805, plain,
% 16.01/2.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 16.01/2.90 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 16.01/2.90 inference('simpl_trail', [status(thm)], [zip_derived_cl1804, '10'])).
% 16.01/2.90 thf(zip_derived_cl1967, plain,
% 16.01/2.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 16.01/2.90 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 16.01/2.90 inference('simpl_trail', [status(thm)], [zip_derived_cl1966, '12'])).
% 16.01/2.90 thf(zip_derived_cl2176, plain,
% 16.01/2.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 16.01/2.90 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 16.01/2.90 inference('simpl_trail', [status(thm)], [zip_derived_cl2175, '14'])).
% 16.01/2.90 thf(zip_derived_cl2322, plain,
% 16.01/2.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 16.01/2.90 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 16.01/2.90 inference('simpl_trail', [status(thm)], [zip_derived_cl2321, '16'])).
% 16.01/2.90 thf(zip_derived_cl2380, plain,
% 16.01/2.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 16.01/2.90 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 16.01/2.90 inference('simpl_trail', [status(thm)], [zip_derived_cl2379, '18'])).
% 16.01/2.90 thf(zip_derived_cl2438, plain,
% 16.01/2.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.90 X7 : $i, X8 : $i]:
% 16.01/2.90 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.90 X7 @ X8)),
% 16.01/2.90 inference('simpl_trail', [status(thm)], [zip_derived_cl2437, '20'])).
% 16.01/2.90 thf(zip_derived_cl2498, plain,
% 16.01/2.90 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.90 X7 : $i, X8 : $i, X9 : $i]:
% 16.01/2.90 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6 @ X7 @ X8 @ X9))
% 16.01/2.90 <= ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.90 X7 : $i, X8 : $i, X9 : $i]:
% 16.01/2.90 (~ (ssNder1_1r1 @ X0)
% 16.01/2.90 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.90 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.90 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.90 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.90 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.90 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6)
% 16.01/2.90 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.90 X5 @ X6 @ X7)
% 16.01/2.90 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.90 X5 @ X6 @ X7 @ X8)
% 16.01/2.90 | (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.90 X5 @ X6 @ X7 @ X8 @ X9))))),
% 16.01/2.90 inference('demod', [status(thm)],
% 16.01/2.90 [zip_derived_cl812, zip_derived_cl1634, zip_derived_cl1646,
% 16.01/2.90 zip_derived_cl1717, zip_derived_cl1805, zip_derived_cl1967,
% 16.01/2.90 zip_derived_cl2176, zip_derived_cl2322, zip_derived_cl2380,
% 16.01/2.90 zip_derived_cl2438])).
% 16.01/2.90 thf('33', plain,
% 16.01/2.90 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.90 X7 : $i, X8 : $i, X9 : $i]:
% 16.01/2.90 (~ (ssNder1_1r1 @ X0)
% 16.01/2.90 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.90 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.90 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.90 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.90 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.90 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.90 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.90 X7)
% 16.01/2.90 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6 @ X7 @ X8)
% 16.01/2.90 | (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6 @ X7 @ X8 @ X9))) |
% 16.01/2.90 ~ ( (ssNder1_0))),
% 16.01/2.90 inference('split', [status(esa)], [zip_derived_cl135])).
% 16.01/2.90 thf('34', plain,
% 16.01/2.90 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.90 X7 : $i, X8 : $i, X9 : $i]:
% 16.01/2.90 (~ (ssNder1_1r1 @ X0)
% 16.01/2.90 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.90 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.90 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.90 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.90 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.90 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.90 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.90 X7)
% 16.01/2.90 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6 @ X7 @ X8)
% 16.01/2.90 | (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6 @ X7 @ X8 @ X9)))),
% 16.01/2.90 inference('sat_resolution*', [status(thm)], ['0', '33'])).
% 16.01/2.90 thf(zip_derived_cl2499, plain,
% 16.01/2.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.90 X7 : $i, X8 : $i, X9 : $i]:
% 16.01/2.90 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.90 X7 @ X8 @ X9)),
% 16.01/2.90 inference('simpl_trail', [status(thm)], [zip_derived_cl2498, '34'])).
% 16.01/2.90 thf(zip_derived_cl2603, plain,
% 16.01/2.90 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.90 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 16.01/2.90 ( (ssPv11_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6 @ X7 @ X8 @ X9 @ X10)
% 16.01/2.90 | ~ (ssPv11_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6 @ X7 @ X8 @ X9)))
% 16.01/2.90 <= ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.90 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 16.01/2.90 (~ (ssNder1_1r1 @ X0)
% 16.01/2.90 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.90 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.90 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.90 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.90 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.90 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6)
% 16.01/2.90 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.90 X5 @ X6 @ X7)
% 16.01/2.90 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.90 X5 @ X6 @ X7 @ X8)
% 16.01/2.90 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.90 X4 @ X5 @ X6 @ X7 @ X8 @ X9)
% 16.01/2.90 | (ssPv11_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.90 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 16.01/2.90 | ~ (ssPv11_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.90 X5 @ X6 @ X7 @ X8 @ X9))))),
% 16.01/2.90 inference('demod', [status(thm)],
% 16.01/2.90 [zip_derived_cl874, zip_derived_cl1634, zip_derived_cl1646,
% 16.01/2.90 zip_derived_cl1717, zip_derived_cl1805, zip_derived_cl1967,
% 16.01/2.90 zip_derived_cl2176, zip_derived_cl2322, zip_derived_cl2380,
% 16.01/2.90 zip_derived_cl2438, zip_derived_cl2499])).
% 16.01/2.90 thf('35', plain,
% 16.01/2.90 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.90 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 16.01/2.90 (~ (ssNder1_1r1 @ X0)
% 16.01/2.90 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.90 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.90 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.90 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.90 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.90 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.90 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.90 X7)
% 16.01/2.90 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6 @ X7 @ X8)
% 16.01/2.90 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6 @ X7 @ X8 @ X9)
% 16.01/2.90 | (ssPv11_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6 @ X7 @ X8 @ X9 @ X10)
% 16.01/2.90 | ~ (ssPv11_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6 @ X7 @ X8 @ X9))) |
% 16.01/2.90 ~ ( (ssNder1_0))),
% 16.01/2.90 inference('split', [status(esa)], [zip_derived_cl166])).
% 16.01/2.90 thf('36', plain,
% 16.01/2.90 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.90 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 16.01/2.90 (~ (ssNder1_1r1 @ X0)
% 16.01/2.90 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.90 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.90 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.90 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.90 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.90 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.90 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.90 X7)
% 16.01/2.90 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6 @ X7 @ X8)
% 16.01/2.90 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6 @ X7 @ X8 @ X9)
% 16.01/2.90 | (ssPv11_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6 @ X7 @ X8 @ X9 @ X10)
% 16.01/2.90 | ~ (ssPv11_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6 @ X7 @ X8 @ X9)))),
% 16.01/2.90 inference('sat_resolution*', [status(thm)], ['0', '35'])).
% 16.01/2.90 thf(zip_derived_cl2604, plain,
% 16.01/2.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.90 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 16.01/2.90 ( (ssPv11_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6 @ X7 @ X8 @ X9 @ X10)
% 16.01/2.90 | ~ (ssPv11_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6 @ X7 @ X8 @ X9))),
% 16.01/2.90 inference('simpl_trail', [status(thm)], [zip_derived_cl2603, '36'])).
% 16.01/2.90 thf(clause205, conjecture,
% 16.01/2.90 (~( ( ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.90 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) |
% 16.01/2.90 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 16.01/2.90 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 16.01/2.90 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 16.01/2.90 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 16.01/2.90 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 16.01/2.90 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 16.01/2.90 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 16.01/2.90 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 16.01/2.90 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 16.01/2.90 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.90 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 16.01/2.90 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.90 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 16.01/2.90 ( ~( ssPv11_11r1r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.90 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) ))).
% 16.01/2.90 thf(zf_stmt_19, negated_conjecture,
% 16.01/2.90 (( ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.90 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) |
% 16.01/2.90 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 16.01/2.90 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 16.01/2.90 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 16.01/2.90 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 16.01/2.90 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 16.01/2.90 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 16.01/2.90 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 16.01/2.90 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 16.01/2.90 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.90 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 16.01/2.90 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.90 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 16.01/2.90 ( ~( ssPv11_11r1r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.90 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) )),
% 16.01/2.90 inference('cnf.neg', [status(esa)], [clause205])).
% 16.01/2.90 thf(zip_derived_cl204, plain,
% 16.01/2.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.90 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 16.01/2.90 ( (ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 16.01/2.90 | ~ (ssNder1_0)
% 16.01/2.90 | ~ (ssNder1_1r1 @ X0)
% 16.01/2.90 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.90 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.90 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.90 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.90 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.90 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.90 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.90 X7)
% 16.01/2.90 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6 @ X7 @ X8)
% 16.01/2.90 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6 @ X7 @ X8 @ X9)
% 16.01/2.90 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.90 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 16.01/2.90 | ~ (ssPv11_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6 @ X7 @ X8 @ X9 @ X10))),
% 16.01/2.90 inference('cnf', [status(esa)], [zf_stmt_19])).
% 16.01/2.90 thf(zip_derived_cl950, plain,
% 16.01/2.90 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.90 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 16.01/2.90 (~ (ssNder1_1r1 @ X0)
% 16.01/2.90 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.90 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.90 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.90 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.90 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.90 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.90 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.90 X7)
% 16.01/2.90 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6 @ X7 @ X8)
% 16.01/2.90 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6 @ X7 @ X8 @ X9)
% 16.01/2.90 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.90 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 16.01/2.90 | ~ (ssPv11_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.90 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 16.01/2.90 | (ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.90 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)))
% 16.01/2.90 <= ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.90 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 16.01/2.90 (~ (ssNder1_1r1 @ X0)
% 16.01/2.90 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.90 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.90 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.90 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.90 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.90 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6)
% 16.01/2.90 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.90 X5 @ X6 @ X7)
% 16.01/2.90 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.90 X5 @ X6 @ X7 @ X8)
% 16.01/2.90 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.90 X4 @ X5 @ X6 @ X7 @ X8 @ X9)
% 16.01/2.90 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.90 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 16.01/2.90 | ~ (ssPv11_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.90 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 16.01/2.90 | (ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.90 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11))))),
% 16.01/2.90 inference('split', [status(esa)], [zip_derived_cl204])).
% 16.01/2.90 thf(zip_derived_cl1634, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 16.01/2.90 inference('simpl_trail', [status(thm)], [zip_derived_cl544, '2'])).
% 16.01/2.90 thf(zip_derived_cl1646, plain,
% 16.01/2.90 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 16.01/2.90 inference('simpl_trail', [status(thm)], [zip_derived_cl1645, '4'])).
% 16.01/2.90 thf(zip_derived_cl1717, plain,
% 16.01/2.90 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 16.01/2.90 inference('simpl_trail', [status(thm)], [zip_derived_cl1716, '6'])).
% 16.01/2.90 thf(zip_derived_cl1805, plain,
% 16.01/2.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 16.01/2.90 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 16.01/2.90 inference('simpl_trail', [status(thm)], [zip_derived_cl1804, '10'])).
% 16.01/2.90 thf(zip_derived_cl1967, plain,
% 16.01/2.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 16.01/2.90 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 16.01/2.90 inference('simpl_trail', [status(thm)], [zip_derived_cl1966, '12'])).
% 16.01/2.90 thf(zip_derived_cl2176, plain,
% 16.01/2.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 16.01/2.90 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 16.01/2.90 inference('simpl_trail', [status(thm)], [zip_derived_cl2175, '14'])).
% 16.01/2.90 thf(zip_derived_cl2322, plain,
% 16.01/2.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 16.01/2.90 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 16.01/2.90 inference('simpl_trail', [status(thm)], [zip_derived_cl2321, '16'])).
% 16.01/2.90 thf(zip_derived_cl2380, plain,
% 16.01/2.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 16.01/2.90 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 16.01/2.90 inference('simpl_trail', [status(thm)], [zip_derived_cl2379, '18'])).
% 16.01/2.90 thf(zip_derived_cl2438, plain,
% 16.01/2.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.90 X7 : $i, X8 : $i]:
% 16.01/2.90 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.90 X7 @ X8)),
% 16.01/2.90 inference('simpl_trail', [status(thm)], [zip_derived_cl2437, '20'])).
% 16.01/2.90 thf(zip_derived_cl2499, plain,
% 16.01/2.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.90 X7 : $i, X8 : $i, X9 : $i]:
% 16.01/2.90 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.90 X7 @ X8 @ X9)),
% 16.01/2.90 inference('simpl_trail', [status(thm)], [zip_derived_cl2498, '34'])).
% 16.01/2.90 thf(clause161, conjecture,
% 16.01/2.90 (~( ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.90 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) |
% 16.01/2.90 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 16.01/2.90 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 16.01/2.90 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 16.01/2.90 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 16.01/2.90 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 16.01/2.90 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 16.01/2.90 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 16.01/2.90 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 16.01/2.90 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 16.01/2.90 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.90 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) ))).
% 16.01/2.90 thf(zf_stmt_20, negated_conjecture,
% 16.01/2.90 (( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.90 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) |
% 16.01/2.90 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 16.01/2.90 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 16.01/2.90 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 16.01/2.90 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 16.01/2.90 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 16.01/2.90 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 16.01/2.90 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 16.01/2.90 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 16.01/2.90 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.90 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) )),
% 16.01/2.90 inference('cnf.neg', [status(esa)], [clause161])).
% 16.01/2.90 thf(zip_derived_cl160, plain,
% 16.01/2.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.90 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 16.01/2.90 ( (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6 @ X7 @ X8 @ X9 @ X10)
% 16.01/2.90 | ~ (ssNder1_0)
% 16.01/2.90 | ~ (ssNder1_1r1 @ X0)
% 16.01/2.90 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.90 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.90 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.90 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.90 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.90 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.90 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.90 X7)
% 16.01/2.90 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6 @ X7 @ X8)
% 16.01/2.90 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6 @ X7 @ X8 @ X9))),
% 16.01/2.90 inference('cnf', [status(esa)], [zf_stmt_20])).
% 16.01/2.90 thf(zip_derived_cl862, plain,
% 16.01/2.90 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.90 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 16.01/2.90 (~ (ssNder1_1r1 @ X0)
% 16.01/2.90 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.90 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.90 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.90 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.90 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.90 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.90 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.90 X7)
% 16.01/2.90 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6 @ X7 @ X8)
% 16.01/2.90 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6 @ X7 @ X8 @ X9)
% 16.01/2.90 | (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.90 X5 @ X6 @ X7 @ X8 @ X9 @ X10)))
% 16.01/2.90 <= ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.90 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 16.01/2.90 (~ (ssNder1_1r1 @ X0)
% 16.01/2.90 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.90 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.90 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.90 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.90 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.90 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6)
% 16.01/2.90 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.90 X5 @ X6 @ X7)
% 16.01/2.90 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.90 X5 @ X6 @ X7 @ X8)
% 16.01/2.90 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.90 X4 @ X5 @ X6 @ X7 @ X8 @ X9)
% 16.01/2.90 | (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.90 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10))))),
% 16.01/2.90 inference('split', [status(esa)], [zip_derived_cl160])).
% 16.01/2.90 thf(zip_derived_cl1634, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 16.01/2.90 inference('simpl_trail', [status(thm)], [zip_derived_cl544, '2'])).
% 16.01/2.90 thf(zip_derived_cl1646, plain,
% 16.01/2.90 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 16.01/2.90 inference('simpl_trail', [status(thm)], [zip_derived_cl1645, '4'])).
% 16.01/2.90 thf(zip_derived_cl1717, plain,
% 16.01/2.90 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 16.01/2.90 inference('simpl_trail', [status(thm)], [zip_derived_cl1716, '6'])).
% 16.01/2.90 thf(zip_derived_cl1805, plain,
% 16.01/2.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 16.01/2.90 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 16.01/2.90 inference('simpl_trail', [status(thm)], [zip_derived_cl1804, '10'])).
% 16.01/2.90 thf(zip_derived_cl1967, plain,
% 16.01/2.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 16.01/2.90 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 16.01/2.90 inference('simpl_trail', [status(thm)], [zip_derived_cl1966, '12'])).
% 16.01/2.90 thf(zip_derived_cl2176, plain,
% 16.01/2.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 16.01/2.90 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 16.01/2.90 inference('simpl_trail', [status(thm)], [zip_derived_cl2175, '14'])).
% 16.01/2.90 thf(zip_derived_cl2322, plain,
% 16.01/2.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 16.01/2.90 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 16.01/2.90 inference('simpl_trail', [status(thm)], [zip_derived_cl2321, '16'])).
% 16.01/2.90 thf(zip_derived_cl2380, plain,
% 16.01/2.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 16.01/2.90 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 16.01/2.90 inference('simpl_trail', [status(thm)], [zip_derived_cl2379, '18'])).
% 16.01/2.90 thf(zip_derived_cl2438, plain,
% 16.01/2.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.90 X7 : $i, X8 : $i]:
% 16.01/2.90 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.90 X7 @ X8)),
% 16.01/2.90 inference('simpl_trail', [status(thm)], [zip_derived_cl2437, '20'])).
% 16.01/2.90 thf(zip_derived_cl2499, plain,
% 16.01/2.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.90 X7 : $i, X8 : $i, X9 : $i]:
% 16.01/2.90 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.90 X7 @ X8 @ X9)),
% 16.01/2.90 inference('simpl_trail', [status(thm)], [zip_derived_cl2498, '34'])).
% 16.01/2.90 thf(zip_derived_cl2566, plain,
% 16.01/2.90 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.90 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 16.01/2.90 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6 @ X7 @ X8 @ X9 @ X10))
% 16.01/2.90 <= ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.90 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 16.01/2.90 (~ (ssNder1_1r1 @ X0)
% 16.01/2.90 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.90 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.90 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.90 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.90 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.90 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6)
% 16.01/2.90 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.90 X5 @ X6 @ X7)
% 16.01/2.90 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.90 X5 @ X6 @ X7 @ X8)
% 16.01/2.90 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.90 X4 @ X5 @ X6 @ X7 @ X8 @ X9)
% 16.01/2.90 | (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.90 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10))))),
% 16.01/2.90 inference('demod', [status(thm)],
% 16.01/2.90 [zip_derived_cl862, zip_derived_cl1634, zip_derived_cl1646,
% 16.01/2.90 zip_derived_cl1717, zip_derived_cl1805, zip_derived_cl1967,
% 16.01/2.90 zip_derived_cl2176, zip_derived_cl2322, zip_derived_cl2380,
% 16.01/2.90 zip_derived_cl2438, zip_derived_cl2499])).
% 16.01/2.90 thf('37', plain,
% 16.01/2.90 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.90 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 16.01/2.90 (~ (ssNder1_1r1 @ X0)
% 16.01/2.90 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.90 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.90 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.90 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.90 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.90 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.90 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.90 X7)
% 16.01/2.90 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6 @ X7 @ X8)
% 16.01/2.90 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6 @ X7 @ X8 @ X9)
% 16.01/2.90 | (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.90 X5 @ X6 @ X7 @ X8 @ X9 @ X10))) |
% 16.01/2.90 ~ ( (ssNder1_0))),
% 16.01/2.90 inference('split', [status(esa)], [zip_derived_cl160])).
% 16.01/2.90 thf('38', plain,
% 16.01/2.90 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.90 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 16.01/2.90 (~ (ssNder1_1r1 @ X0)
% 16.01/2.90 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.90 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.90 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.90 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.90 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.90 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.90 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.90 X7)
% 16.01/2.90 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6 @ X7 @ X8)
% 16.01/2.90 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6 @ X7 @ X8 @ X9)
% 16.01/2.90 | (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.90 X5 @ X6 @ X7 @ X8 @ X9 @ X10)))),
% 16.01/2.90 inference('sat_resolution*', [status(thm)], ['0', '37'])).
% 16.01/2.90 thf(zip_derived_cl2567, plain,
% 16.01/2.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.90 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 16.01/2.90 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6 @ X7 @ X8 @ X9 @ X10)),
% 16.01/2.90 inference('simpl_trail', [status(thm)], [zip_derived_cl2566, '38'])).
% 16.01/2.90 thf(zip_derived_cl2702, plain,
% 16.01/2.90 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.90 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 16.01/2.90 (~ (ssPv11_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6 @ X7 @ X8 @ X9 @ X10)
% 16.01/2.90 | (ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.90 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)))
% 16.01/2.90 <= ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.90 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 16.01/2.90 (~ (ssNder1_1r1 @ X0)
% 16.01/2.90 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.90 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.90 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.90 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.90 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.90 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6)
% 16.01/2.90 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.90 X5 @ X6 @ X7)
% 16.01/2.90 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.90 X5 @ X6 @ X7 @ X8)
% 16.01/2.90 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.90 X4 @ X5 @ X6 @ X7 @ X8 @ X9)
% 16.01/2.90 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.90 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 16.01/2.90 | ~ (ssPv11_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.90 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 16.01/2.90 | (ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.90 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11))))),
% 16.01/2.90 inference('demod', [status(thm)],
% 16.01/2.90 [zip_derived_cl950, zip_derived_cl1634, zip_derived_cl1646,
% 16.01/2.90 zip_derived_cl1717, zip_derived_cl1805, zip_derived_cl1967,
% 16.01/2.90 zip_derived_cl2176, zip_derived_cl2322, zip_derived_cl2380,
% 16.01/2.90 zip_derived_cl2438, zip_derived_cl2499, zip_derived_cl2567])).
% 16.01/2.90 thf('39', plain,
% 16.01/2.90 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.90 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 16.01/2.90 (~ (ssNder1_1r1 @ X0)
% 16.01/2.90 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.90 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.90 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.90 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.90 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.90 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.90 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.90 X7)
% 16.01/2.90 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6 @ X7 @ X8)
% 16.01/2.90 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6 @ X7 @ X8 @ X9)
% 16.01/2.90 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.90 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 16.01/2.90 | ~ (ssPv11_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.90 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 16.01/2.90 | (ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.90 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11))) |
% 16.01/2.90 ~ ( (ssNder1_0))),
% 16.01/2.90 inference('split', [status(esa)], [zip_derived_cl204])).
% 16.01/2.90 thf('40', plain,
% 16.01/2.90 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.90 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 16.01/2.90 (~ (ssNder1_1r1 @ X0)
% 16.01/2.90 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.90 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.90 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.90 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.90 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.90 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.90 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.90 X7)
% 16.01/2.90 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6 @ X7 @ X8)
% 16.01/2.90 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6 @ X7 @ X8 @ X9)
% 16.01/2.90 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.90 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 16.01/2.90 | ~ (ssPv11_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.90 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 16.01/2.90 | (ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.90 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)))),
% 16.01/2.90 inference('sat_resolution*', [status(thm)], ['0', '39'])).
% 16.01/2.90 thf(zip_derived_cl2703, plain,
% 16.01/2.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.90 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 16.01/2.90 (~ (ssPv11_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6 @ X7 @ X8 @ X9 @ X10)
% 16.01/2.90 | (ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.90 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11))),
% 16.01/2.90 inference('simpl_trail', [status(thm)], [zip_derived_cl2702, '40'])).
% 16.01/2.90 thf(clause331, conjecture,
% 16.01/2.90 (~( ( ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.90 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) |
% 16.01/2.90 ( ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.90 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) |
% 16.01/2.90 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 16.01/2.90 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 16.01/2.90 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 16.01/2.90 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 16.01/2.90 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 16.01/2.90 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 16.01/2.90 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 16.01/2.90 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 16.01/2.90 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 16.01/2.90 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.90 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 16.01/2.90 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.90 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 16.01/2.90 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.90 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 16.01/2.90 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.90 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 16.01/2.90 ( ~( ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.90 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 16.01/2.90 ( ~( ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.90 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) ))).
% 16.01/2.90 thf(zf_stmt_21, negated_conjecture,
% 16.01/2.90 (( ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.90 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) |
% 16.01/2.90 ( ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.90 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) |
% 16.01/2.90 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 16.01/2.90 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 16.01/2.90 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 16.01/2.90 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 16.01/2.90 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 16.01/2.90 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 16.01/2.90 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 16.01/2.90 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 16.01/2.90 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.90 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 16.01/2.90 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.90 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 16.01/2.90 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.90 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 16.01/2.90 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.90 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 16.01/2.90 ( ~( ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.90 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 16.01/2.90 ( ~( ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.90 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) )),
% 16.01/2.90 inference('cnf.neg', [status(esa)], [clause331])).
% 16.01/2.90 thf(zip_derived_cl330, plain,
% 16.01/2.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.90 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 16.01/2.90 ( (ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.90 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 16.01/2.90 | (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.90 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 16.01/2.90 | ~ (ssNder1_0)
% 16.01/2.90 | ~ (ssNder1_1r1 @ X0)
% 16.01/2.90 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.90 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.90 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.90 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.90 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.90 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.90 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.90 X7)
% 16.01/2.90 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6 @ X7 @ X8)
% 16.01/2.90 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6 @ X7 @ X8 @ X9)
% 16.01/2.90 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.90 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 16.01/2.90 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.90 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 16.01/2.90 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.90 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 16.01/2.90 | ~ (ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.90 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 16.01/2.90 | ~ (ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.90 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13))),
% 16.01/2.90 inference('cnf', [status(esa)], [zf_stmt_21])).
% 16.01/2.90 thf(zip_derived_cl1202, plain,
% 16.01/2.90 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.90 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 16.01/2.90 (~ (ssNder1_1r1 @ X0)
% 16.01/2.90 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.90 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.90 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.90 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.90 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.90 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.90 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.90 X7)
% 16.01/2.90 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6 @ X7 @ X8)
% 16.01/2.90 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6 @ X7 @ X8 @ X9)
% 16.01/2.90 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.90 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 16.01/2.90 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.90 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 16.01/2.90 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.90 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 16.01/2.90 | ~ (ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.90 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 16.01/2.90 | (ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.90 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 16.01/2.90 | ~ (ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.90 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 16.01/2.90 | (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.90 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)))
% 16.01/2.90 <= ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.90 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i,
% 16.01/2.90 X13 : $i]:
% 16.01/2.90 (~ (ssNder1_1r1 @ X0)
% 16.01/2.90 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.90 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.90 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.90 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.90 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.90 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6)
% 16.01/2.90 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.90 X5 @ X6 @ X7)
% 16.01/2.90 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.90 X5 @ X6 @ X7 @ X8)
% 16.01/2.90 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.90 X4 @ X5 @ X6 @ X7 @ X8 @ X9)
% 16.01/2.90 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.90 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 16.01/2.90 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.90 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 16.01/2.90 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 16.01/2.90 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 16.01/2.90 | ~ (ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 16.01/2.90 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 16.01/2.90 | (ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 16.01/2.90 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 16.01/2.90 | ~ (ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 16.01/2.90 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 16.01/2.90 | (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 16.01/2.90 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13))))),
% 16.01/2.90 inference('split', [status(esa)], [zip_derived_cl330])).
% 16.01/2.90 thf(zip_derived_cl1634, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 16.01/2.90 inference('simpl_trail', [status(thm)], [zip_derived_cl544, '2'])).
% 16.01/2.90 thf(zip_derived_cl1646, plain,
% 16.01/2.90 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 16.01/2.90 inference('simpl_trail', [status(thm)], [zip_derived_cl1645, '4'])).
% 16.01/2.90 thf(zip_derived_cl1717, plain,
% 16.01/2.90 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 16.01/2.90 inference('simpl_trail', [status(thm)], [zip_derived_cl1716, '6'])).
% 16.01/2.90 thf(zip_derived_cl1805, plain,
% 16.01/2.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 16.01/2.90 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 16.01/2.90 inference('simpl_trail', [status(thm)], [zip_derived_cl1804, '10'])).
% 16.01/2.90 thf(zip_derived_cl1967, plain,
% 16.01/2.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 16.01/2.90 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 16.01/2.90 inference('simpl_trail', [status(thm)], [zip_derived_cl1966, '12'])).
% 16.01/2.90 thf(zip_derived_cl2176, plain,
% 16.01/2.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 16.01/2.90 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 16.01/2.90 inference('simpl_trail', [status(thm)], [zip_derived_cl2175, '14'])).
% 16.01/2.90 thf(zip_derived_cl2322, plain,
% 16.01/2.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 16.01/2.90 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 16.01/2.90 inference('simpl_trail', [status(thm)], [zip_derived_cl2321, '16'])).
% 16.01/2.90 thf(zip_derived_cl2380, plain,
% 16.01/2.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 16.01/2.90 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 16.01/2.90 inference('simpl_trail', [status(thm)], [zip_derived_cl2379, '18'])).
% 16.01/2.90 thf(zip_derived_cl2438, plain,
% 16.01/2.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.90 X7 : $i, X8 : $i]:
% 16.01/2.90 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.90 X7 @ X8)),
% 16.01/2.90 inference('simpl_trail', [status(thm)], [zip_derived_cl2437, '20'])).
% 16.01/2.90 thf(zip_derived_cl2499, plain,
% 16.01/2.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.90 X7 : $i, X8 : $i, X9 : $i]:
% 16.01/2.90 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.90 X7 @ X8 @ X9)),
% 16.01/2.90 inference('simpl_trail', [status(thm)], [zip_derived_cl2498, '34'])).
% 16.01/2.90 thf(zip_derived_cl2567, plain,
% 16.01/2.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.90 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 16.01/2.90 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6 @ X7 @ X8 @ X9 @ X10)),
% 16.01/2.90 inference('simpl_trail', [status(thm)], [zip_derived_cl2566, '38'])).
% 16.01/2.90 thf(clause185, conjecture,
% 16.01/2.90 (~( ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.90 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) |
% 16.01/2.90 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 16.01/2.90 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 16.01/2.90 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 16.01/2.90 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 16.01/2.90 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 16.01/2.90 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 16.01/2.90 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 16.01/2.90 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 16.01/2.90 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 16.01/2.90 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.90 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 16.01/2.90 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.90 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) ))).
% 16.01/2.90 thf(zf_stmt_22, negated_conjecture,
% 16.01/2.90 (( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.90 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) |
% 16.01/2.90 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 16.01/2.90 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 16.01/2.90 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 16.01/2.90 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 16.01/2.90 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 16.01/2.90 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 16.01/2.90 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 16.01/2.90 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 16.01/2.90 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.90 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 16.01/2.90 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.90 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) )),
% 16.01/2.90 inference('cnf.neg', [status(esa)], [clause185])).
% 16.01/2.90 thf(zip_derived_cl184, plain,
% 16.01/2.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.90 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 16.01/2.90 ( (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 16.01/2.90 | ~ (ssNder1_0)
% 16.01/2.90 | ~ (ssNder1_1r1 @ X0)
% 16.01/2.90 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.90 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.90 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.90 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.90 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.90 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.90 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.90 X7)
% 16.01/2.90 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6 @ X7 @ X8)
% 16.01/2.90 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6 @ X7 @ X8 @ X9)
% 16.01/2.90 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.90 X5 @ X6 @ X7 @ X8 @ X9 @ X10))),
% 16.01/2.90 inference('cnf', [status(esa)], [zf_stmt_22])).
% 16.01/2.90 thf(zip_derived_cl910, plain,
% 16.01/2.90 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.90 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 16.01/2.90 (~ (ssNder1_1r1 @ X0)
% 16.01/2.90 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.90 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.90 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.90 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.90 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.90 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.90 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.90 X7)
% 16.01/2.90 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6 @ X7 @ X8)
% 16.01/2.90 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6 @ X7 @ X8 @ X9)
% 16.01/2.90 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.90 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 16.01/2.90 | (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.90 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)))
% 16.01/2.90 <= ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.90 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 16.01/2.90 (~ (ssNder1_1r1 @ X0)
% 16.01/2.90 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.90 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.90 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.90 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.90 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.90 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6)
% 16.01/2.90 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.90 X5 @ X6 @ X7)
% 16.01/2.90 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.90 X5 @ X6 @ X7 @ X8)
% 16.01/2.90 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.90 X4 @ X5 @ X6 @ X7 @ X8 @ X9)
% 16.01/2.90 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.90 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 16.01/2.90 | (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.90 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11))))),
% 16.01/2.90 inference('split', [status(esa)], [zip_derived_cl184])).
% 16.01/2.90 thf(zip_derived_cl1634, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 16.01/2.90 inference('simpl_trail', [status(thm)], [zip_derived_cl544, '2'])).
% 16.01/2.90 thf(zip_derived_cl1646, plain,
% 16.01/2.90 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 16.01/2.90 inference('simpl_trail', [status(thm)], [zip_derived_cl1645, '4'])).
% 16.01/2.90 thf(zip_derived_cl1717, plain,
% 16.01/2.90 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 16.01/2.90 inference('simpl_trail', [status(thm)], [zip_derived_cl1716, '6'])).
% 16.01/2.90 thf(zip_derived_cl1805, plain,
% 16.01/2.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 16.01/2.90 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 16.01/2.90 inference('simpl_trail', [status(thm)], [zip_derived_cl1804, '10'])).
% 16.01/2.90 thf(zip_derived_cl1967, plain,
% 16.01/2.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 16.01/2.90 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 16.01/2.90 inference('simpl_trail', [status(thm)], [zip_derived_cl1966, '12'])).
% 16.01/2.90 thf(zip_derived_cl2176, plain,
% 16.01/2.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 16.01/2.90 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 16.01/2.90 inference('simpl_trail', [status(thm)], [zip_derived_cl2175, '14'])).
% 16.01/2.90 thf(zip_derived_cl2322, plain,
% 16.01/2.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 16.01/2.90 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 16.01/2.90 inference('simpl_trail', [status(thm)], [zip_derived_cl2321, '16'])).
% 16.01/2.90 thf(zip_derived_cl2380, plain,
% 16.01/2.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 16.01/2.90 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 16.01/2.90 inference('simpl_trail', [status(thm)], [zip_derived_cl2379, '18'])).
% 16.01/2.90 thf(zip_derived_cl2438, plain,
% 16.01/2.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.90 X7 : $i, X8 : $i]:
% 16.01/2.90 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.90 X7 @ X8)),
% 16.01/2.90 inference('simpl_trail', [status(thm)], [zip_derived_cl2437, '20'])).
% 16.01/2.90 thf(zip_derived_cl2499, plain,
% 16.01/2.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.90 X7 : $i, X8 : $i, X9 : $i]:
% 16.01/2.90 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.90 X7 @ X8 @ X9)),
% 16.01/2.90 inference('simpl_trail', [status(thm)], [zip_derived_cl2498, '34'])).
% 16.01/2.90 thf(zip_derived_cl2567, plain,
% 16.01/2.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.90 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 16.01/2.90 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6 @ X7 @ X8 @ X9 @ X10)),
% 16.01/2.90 inference('simpl_trail', [status(thm)], [zip_derived_cl2566, '38'])).
% 16.01/2.90 thf(zip_derived_cl2628, plain,
% 16.01/2.90 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.90 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 16.01/2.90 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6 @ X7 @ X8 @ X9 @ X10 @ X11))
% 16.01/2.90 <= ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.90 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 16.01/2.90 (~ (ssNder1_1r1 @ X0)
% 16.01/2.90 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.90 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.90 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.90 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.90 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.90 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6)
% 16.01/2.90 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.90 X5 @ X6 @ X7)
% 16.01/2.90 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.90 X5 @ X6 @ X7 @ X8)
% 16.01/2.90 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.90 X4 @ X5 @ X6 @ X7 @ X8 @ X9)
% 16.01/2.90 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.90 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 16.01/2.90 | (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.90 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11))))),
% 16.01/2.90 inference('demod', [status(thm)],
% 16.01/2.90 [zip_derived_cl910, zip_derived_cl1634, zip_derived_cl1646,
% 16.01/2.90 zip_derived_cl1717, zip_derived_cl1805, zip_derived_cl1967,
% 16.01/2.90 zip_derived_cl2176, zip_derived_cl2322, zip_derived_cl2380,
% 16.01/2.90 zip_derived_cl2438, zip_derived_cl2499, zip_derived_cl2567])).
% 16.01/2.90 thf('41', plain,
% 16.01/2.90 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.90 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 16.01/2.90 (~ (ssNder1_1r1 @ X0)
% 16.01/2.90 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.90 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.90 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.90 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.90 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.90 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.90 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.90 X7)
% 16.01/2.90 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6 @ X7 @ X8)
% 16.01/2.90 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6 @ X7 @ X8 @ X9)
% 16.01/2.90 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.90 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 16.01/2.90 | (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.90 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11))) |
% 16.01/2.90 ~ ( (ssNder1_0))),
% 16.01/2.90 inference('split', [status(esa)], [zip_derived_cl184])).
% 16.01/2.90 thf('42', plain,
% 16.01/2.90 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.90 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 16.01/2.90 (~ (ssNder1_1r1 @ X0)
% 16.01/2.90 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.90 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.90 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.90 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.90 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.90 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.90 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.90 X7)
% 16.01/2.90 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6 @ X7 @ X8)
% 16.01/2.90 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6 @ X7 @ X8 @ X9)
% 16.01/2.90 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.90 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 16.01/2.90 | (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.90 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)))),
% 16.01/2.90 inference('sat_resolution*', [status(thm)], ['0', '41'])).
% 16.01/2.90 thf(zip_derived_cl2629, plain,
% 16.01/2.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.90 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 16.01/2.90 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 16.01/2.90 inference('simpl_trail', [status(thm)], [zip_derived_cl2628, '42'])).
% 16.01/2.90 thf(clause215, conjecture,
% 16.01/2.90 (~( ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.90 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) |
% 16.01/2.90 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 16.01/2.90 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 16.01/2.90 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 16.01/2.90 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 16.01/2.90 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 16.01/2.90 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 16.01/2.90 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 16.01/2.90 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 16.01/2.90 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 16.01/2.90 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.90 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 16.01/2.90 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.90 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 16.01/2.90 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.90 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) ))).
% 16.01/2.90 thf(zf_stmt_23, negated_conjecture,
% 16.01/2.90 (( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.90 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) |
% 16.01/2.90 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 16.01/2.90 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 16.01/2.90 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 16.01/2.90 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 16.01/2.90 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 16.01/2.90 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 16.01/2.90 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 16.01/2.90 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 16.01/2.90 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.90 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 16.01/2.90 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.90 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 16.01/2.90 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.90 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) )),
% 16.01/2.90 inference('cnf.neg', [status(esa)], [clause215])).
% 16.01/2.90 thf(zip_derived_cl214, plain,
% 16.01/2.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.90 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 16.01/2.90 ( (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.90 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 16.01/2.90 | ~ (ssNder1_0)
% 16.01/2.90 | ~ (ssNder1_1r1 @ X0)
% 16.01/2.90 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.90 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.90 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.90 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.90 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.90 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.90 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.90 X7)
% 16.01/2.90 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6 @ X7 @ X8)
% 16.01/2.90 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6 @ X7 @ X8 @ X9)
% 16.01/2.90 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.90 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 16.01/2.90 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.90 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11))),
% 16.01/2.90 inference('cnf', [status(esa)], [zf_stmt_23])).
% 16.01/2.90 thf(zip_derived_cl970, plain,
% 16.01/2.90 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.90 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 16.01/2.90 (~ (ssNder1_1r1 @ X0)
% 16.01/2.90 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.90 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.90 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.90 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.90 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.90 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.90 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.90 X7)
% 16.01/2.90 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6 @ X7 @ X8)
% 16.01/2.90 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6 @ X7 @ X8 @ X9)
% 16.01/2.90 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.90 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 16.01/2.90 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.90 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 16.01/2.90 | (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.90 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)))
% 16.01/2.90 <= ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.90 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 16.01/2.90 (~ (ssNder1_1r1 @ X0)
% 16.01/2.90 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.90 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.90 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.90 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.90 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.90 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6)
% 16.01/2.90 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.90 X5 @ X6 @ X7)
% 16.01/2.90 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.90 X5 @ X6 @ X7 @ X8)
% 16.01/2.90 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.90 X4 @ X5 @ X6 @ X7 @ X8 @ X9)
% 16.01/2.90 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.90 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 16.01/2.90 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.90 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 16.01/2.90 | (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 16.01/2.90 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12))))),
% 16.01/2.90 inference('split', [status(esa)], [zip_derived_cl214])).
% 16.01/2.90 thf(zip_derived_cl1634, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 16.01/2.90 inference('simpl_trail', [status(thm)], [zip_derived_cl544, '2'])).
% 16.01/2.90 thf(zip_derived_cl1646, plain,
% 16.01/2.90 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 16.01/2.90 inference('simpl_trail', [status(thm)], [zip_derived_cl1645, '4'])).
% 16.01/2.90 thf(zip_derived_cl1717, plain,
% 16.01/2.90 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 16.01/2.90 inference('simpl_trail', [status(thm)], [zip_derived_cl1716, '6'])).
% 16.01/2.90 thf(zip_derived_cl1805, plain,
% 16.01/2.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 16.01/2.90 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 16.01/2.90 inference('simpl_trail', [status(thm)], [zip_derived_cl1804, '10'])).
% 16.01/2.90 thf(zip_derived_cl1967, plain,
% 16.01/2.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 16.01/2.90 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 16.01/2.90 inference('simpl_trail', [status(thm)], [zip_derived_cl1966, '12'])).
% 16.01/2.90 thf(zip_derived_cl2176, plain,
% 16.01/2.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 16.01/2.90 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 16.01/2.90 inference('simpl_trail', [status(thm)], [zip_derived_cl2175, '14'])).
% 16.01/2.90 thf(zip_derived_cl2322, plain,
% 16.01/2.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 16.01/2.90 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 16.01/2.90 inference('simpl_trail', [status(thm)], [zip_derived_cl2321, '16'])).
% 16.01/2.90 thf(zip_derived_cl2380, plain,
% 16.01/2.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 16.01/2.90 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 16.01/2.90 inference('simpl_trail', [status(thm)], [zip_derived_cl2379, '18'])).
% 16.01/2.90 thf(zip_derived_cl2438, plain,
% 16.01/2.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.90 X7 : $i, X8 : $i]:
% 16.01/2.90 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.90 X7 @ X8)),
% 16.01/2.90 inference('simpl_trail', [status(thm)], [zip_derived_cl2437, '20'])).
% 16.01/2.90 thf(zip_derived_cl2499, plain,
% 16.01/2.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.90 X7 : $i, X8 : $i, X9 : $i]:
% 16.01/2.90 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.90 X7 @ X8 @ X9)),
% 16.01/2.90 inference('simpl_trail', [status(thm)], [zip_derived_cl2498, '34'])).
% 16.01/2.90 thf(zip_derived_cl2567, plain,
% 16.01/2.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.90 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 16.01/2.90 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6 @ X7 @ X8 @ X9 @ X10)),
% 16.01/2.90 inference('simpl_trail', [status(thm)], [zip_derived_cl2566, '38'])).
% 16.01/2.90 thf(zip_derived_cl2629, plain,
% 16.01/2.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.90 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 16.01/2.90 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 16.01/2.90 inference('simpl_trail', [status(thm)], [zip_derived_cl2628, '42'])).
% 16.01/2.90 thf(zip_derived_cl2714, plain,
% 16.01/2.90 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.90 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 16.01/2.90 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.90 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12))
% 16.01/2.90 <= ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.90 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 16.01/2.90 (~ (ssNder1_1r1 @ X0)
% 16.01/2.90 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.90 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.90 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.90 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.90 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.90 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6)
% 16.01/2.90 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.90 X5 @ X6 @ X7)
% 16.01/2.90 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.90 X5 @ X6 @ X7 @ X8)
% 16.01/2.90 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.90 X4 @ X5 @ X6 @ X7 @ X8 @ X9)
% 16.01/2.90 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.90 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 16.01/2.90 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.90 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 16.01/2.90 | (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 16.01/2.90 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12))))),
% 16.01/2.90 inference('demod', [status(thm)],
% 16.01/2.90 [zip_derived_cl970, zip_derived_cl1634, zip_derived_cl1646,
% 16.01/2.90 zip_derived_cl1717, zip_derived_cl1805, zip_derived_cl1967,
% 16.01/2.90 zip_derived_cl2176, zip_derived_cl2322, zip_derived_cl2380,
% 16.01/2.90 zip_derived_cl2438, zip_derived_cl2499, zip_derived_cl2567,
% 16.01/2.90 zip_derived_cl2629])).
% 16.01/2.90 thf('43', plain,
% 16.01/2.90 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.90 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 16.01/2.90 (~ (ssNder1_1r1 @ X0)
% 16.01/2.90 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.90 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.90 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.90 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.90 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.90 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.90 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.90 X7)
% 16.01/2.90 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6 @ X7 @ X8)
% 16.01/2.90 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6 @ X7 @ X8 @ X9)
% 16.01/2.90 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.90 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 16.01/2.90 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.90 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 16.01/2.90 | (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.90 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12))) |
% 16.01/2.90 ~ ( (ssNder1_0))),
% 16.01/2.90 inference('split', [status(esa)], [zip_derived_cl214])).
% 16.01/2.90 thf('44', plain,
% 16.01/2.90 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.90 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 16.01/2.90 (~ (ssNder1_1r1 @ X0)
% 16.01/2.90 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.90 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.90 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.90 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.90 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.90 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.90 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.90 X7)
% 16.01/2.90 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6 @ X7 @ X8)
% 16.01/2.90 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6 @ X7 @ X8 @ X9)
% 16.01/2.90 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.90 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 16.01/2.90 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.90 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 16.01/2.90 | (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.90 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)))),
% 16.01/2.90 inference('sat_resolution*', [status(thm)], ['0', '43'])).
% 16.01/2.90 thf(zip_derived_cl2715, plain,
% 16.01/2.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.90 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 16.01/2.90 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.90 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 16.01/2.90 inference('simpl_trail', [status(thm)], [zip_derived_cl2714, '44'])).
% 16.01/2.90 thf(zip_derived_cl3097, plain,
% 16.01/2.90 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.90 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 16.01/2.90 (~ (ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.90 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 16.01/2.90 | (ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.90 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 16.01/2.90 | ~ (ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.90 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 16.01/2.90 | (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.90 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)))
% 16.01/2.90 <= ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.90 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i,
% 16.01/2.90 X13 : $i]:
% 16.01/2.90 (~ (ssNder1_1r1 @ X0)
% 16.01/2.90 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.90 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.90 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.90 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.90 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.90 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6)
% 16.01/2.90 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.90 X5 @ X6 @ X7)
% 16.01/2.90 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.90 X5 @ X6 @ X7 @ X8)
% 16.01/2.90 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.90 X4 @ X5 @ X6 @ X7 @ X8 @ X9)
% 16.01/2.90 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.90 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 16.01/2.90 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.90 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 16.01/2.90 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 16.01/2.90 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 16.01/2.90 | ~ (ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 16.01/2.90 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 16.01/2.90 | (ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 16.01/2.90 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 16.01/2.90 | ~ (ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 16.01/2.90 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 16.01/2.90 | (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 16.01/2.90 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13))))),
% 16.01/2.90 inference('demod', [status(thm)],
% 16.01/2.90 [zip_derived_cl1202, zip_derived_cl1634, zip_derived_cl1646,
% 16.01/2.90 zip_derived_cl1717, zip_derived_cl1805, zip_derived_cl1967,
% 16.01/2.90 zip_derived_cl2176, zip_derived_cl2322, zip_derived_cl2380,
% 16.01/2.90 zip_derived_cl2438, zip_derived_cl2499, zip_derived_cl2567,
% 16.01/2.90 zip_derived_cl2629, zip_derived_cl2715])).
% 16.01/2.90 thf('45', plain,
% 16.01/2.90 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.90 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 16.01/2.90 (~ (ssNder1_1r1 @ X0)
% 16.01/2.90 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.90 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.90 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.90 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.90 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.90 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.90 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.90 X7)
% 16.01/2.90 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6 @ X7 @ X8)
% 16.01/2.90 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6 @ X7 @ X8 @ X9)
% 16.01/2.90 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.90 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 16.01/2.90 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.90 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 16.01/2.90 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.90 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 16.01/2.90 | ~ (ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.90 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 16.01/2.90 | (ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.90 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 16.01/2.90 | ~ (ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.90 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 16.01/2.90 | (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.90 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13))) |
% 16.01/2.90 ~ ( (ssNder1_0))),
% 16.01/2.90 inference('split', [status(esa)], [zip_derived_cl330])).
% 16.01/2.90 thf('46', plain,
% 16.01/2.90 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.90 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 16.01/2.90 (~ (ssNder1_1r1 @ X0)
% 16.01/2.90 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.90 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.90 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.90 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.90 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.90 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.90 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.90 X7)
% 16.01/2.90 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6 @ X7 @ X8)
% 16.01/2.90 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6 @ X7 @ X8 @ X9)
% 16.01/2.90 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.90 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 16.01/2.90 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.90 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 16.01/2.90 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.90 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 16.01/2.90 | ~ (ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.90 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 16.01/2.90 | (ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.90 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 16.01/2.90 | ~ (ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.90 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 16.01/2.90 | (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.90 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)))),
% 16.01/2.90 inference('sat_resolution*', [status(thm)], ['0', '45'])).
% 16.01/2.90 thf(zip_derived_cl3098, plain,
% 16.01/2.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.90 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 16.01/2.90 (~ (ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.90 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 16.01/2.90 | (ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.90 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 16.01/2.90 | ~ (ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.90 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 16.01/2.90 | (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.90 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13))),
% 16.01/2.90 inference('simpl_trail', [status(thm)], [zip_derived_cl3097, '46'])).
% 16.01/2.90 thf(clause275, conjecture,
% 16.01/2.90 (~( ( ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.90 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) |
% 16.01/2.90 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 16.01/2.90 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 16.01/2.90 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 16.01/2.90 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 16.01/2.90 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 16.01/2.90 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 16.01/2.90 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 16.01/2.90 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 16.01/2.90 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 16.01/2.90 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.90 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 16.01/2.90 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.90 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 16.01/2.90 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.90 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 16.01/2.90 ( ~( ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.90 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 16.01/2.90 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.90 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) ))).
% 16.01/2.90 thf(zf_stmt_24, negated_conjecture,
% 16.01/2.90 (( ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.90 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) |
% 16.01/2.90 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 16.01/2.90 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 16.01/2.90 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 16.01/2.90 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 16.01/2.90 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 16.01/2.90 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 16.01/2.90 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 16.01/2.90 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 16.01/2.90 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.90 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 16.01/2.90 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.90 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 16.01/2.90 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.90 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 16.01/2.90 ( ~( ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.90 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 16.01/2.90 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.90 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) )),
% 16.01/2.90 inference('cnf.neg', [status(esa)], [clause275])).
% 16.01/2.90 thf(zip_derived_cl274, plain,
% 16.01/2.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.90 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 16.01/2.90 ( (ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.90 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 16.01/2.90 | ~ (ssNder1_0)
% 16.01/2.90 | ~ (ssNder1_1r1 @ X0)
% 16.01/2.90 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.90 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.90 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.90 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.90 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.90 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.90 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.90 X7)
% 16.01/2.90 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6 @ X7 @ X8)
% 16.01/2.90 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6 @ X7 @ X8 @ X9)
% 16.01/2.90 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.90 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 16.01/2.90 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.90 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 16.01/2.90 | ~ (ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.90 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 16.01/2.90 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.90 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12))),
% 16.01/2.90 inference('cnf', [status(esa)], [zf_stmt_24])).
% 16.01/2.90 thf(zip_derived_cl1090, plain,
% 16.01/2.90 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.90 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 16.01/2.90 (~ (ssNder1_1r1 @ X0)
% 16.01/2.90 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.90 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.90 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.90 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.90 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.90 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.90 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.90 X7)
% 16.01/2.90 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6 @ X7 @ X8)
% 16.01/2.90 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6 @ X7 @ X8 @ X9)
% 16.01/2.90 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.90 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 16.01/2.90 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.90 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 16.01/2.90 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.90 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 16.01/2.90 | (ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.90 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 16.01/2.90 | ~ (ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.90 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)))
% 16.01/2.90 <= ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.90 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i,
% 16.01/2.90 X13 : $i]:
% 16.01/2.90 (~ (ssNder1_1r1 @ X0)
% 16.01/2.90 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.90 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.90 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.90 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.90 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.90 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6)
% 16.01/2.90 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.90 X5 @ X6 @ X7)
% 16.01/2.90 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.90 X5 @ X6 @ X7 @ X8)
% 16.01/2.90 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.90 X4 @ X5 @ X6 @ X7 @ X8 @ X9)
% 16.01/2.90 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.90 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 16.01/2.90 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.90 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 16.01/2.90 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 16.01/2.90 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 16.01/2.90 | (ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.90 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 16.01/2.90 | ~ (ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 16.01/2.90 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13))))),
% 16.01/2.90 inference('split', [status(esa)], [zip_derived_cl274])).
% 16.01/2.90 thf(zip_derived_cl1634, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 16.01/2.90 inference('simpl_trail', [status(thm)], [zip_derived_cl544, '2'])).
% 16.01/2.90 thf(zip_derived_cl1646, plain,
% 16.01/2.90 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 16.01/2.90 inference('simpl_trail', [status(thm)], [zip_derived_cl1645, '4'])).
% 16.01/2.90 thf(zip_derived_cl1717, plain,
% 16.01/2.90 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 16.01/2.90 inference('simpl_trail', [status(thm)], [zip_derived_cl1716, '6'])).
% 16.01/2.90 thf(zip_derived_cl1805, plain,
% 16.01/2.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 16.01/2.90 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 16.01/2.90 inference('simpl_trail', [status(thm)], [zip_derived_cl1804, '10'])).
% 16.01/2.90 thf(zip_derived_cl1967, plain,
% 16.01/2.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 16.01/2.90 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 16.01/2.90 inference('simpl_trail', [status(thm)], [zip_derived_cl1966, '12'])).
% 16.01/2.90 thf(zip_derived_cl2176, plain,
% 16.01/2.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 16.01/2.90 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 16.01/2.90 inference('simpl_trail', [status(thm)], [zip_derived_cl2175, '14'])).
% 16.01/2.90 thf(zip_derived_cl2322, plain,
% 16.01/2.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 16.01/2.90 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 16.01/2.90 inference('simpl_trail', [status(thm)], [zip_derived_cl2321, '16'])).
% 16.01/2.90 thf(zip_derived_cl2380, plain,
% 16.01/2.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 16.01/2.90 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 16.01/2.90 inference('simpl_trail', [status(thm)], [zip_derived_cl2379, '18'])).
% 16.01/2.90 thf(zip_derived_cl2438, plain,
% 16.01/2.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.90 X7 : $i, X8 : $i]:
% 16.01/2.90 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.90 X7 @ X8)),
% 16.01/2.90 inference('simpl_trail', [status(thm)], [zip_derived_cl2437, '20'])).
% 16.01/2.90 thf(zip_derived_cl2499, plain,
% 16.01/2.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.90 X7 : $i, X8 : $i, X9 : $i]:
% 16.01/2.90 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.90 X7 @ X8 @ X9)),
% 16.01/2.90 inference('simpl_trail', [status(thm)], [zip_derived_cl2498, '34'])).
% 16.01/2.90 thf(zip_derived_cl2567, plain,
% 16.01/2.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.90 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 16.01/2.90 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6 @ X7 @ X8 @ X9 @ X10)),
% 16.01/2.90 inference('simpl_trail', [status(thm)], [zip_derived_cl2566, '38'])).
% 16.01/2.90 thf(zip_derived_cl2629, plain,
% 16.01/2.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.90 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 16.01/2.90 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 16.01/2.90 inference('simpl_trail', [status(thm)], [zip_derived_cl2628, '42'])).
% 16.01/2.90 thf(zip_derived_cl2715, plain,
% 16.01/2.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.90 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 16.01/2.90 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.90 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 16.01/2.90 inference('simpl_trail', [status(thm)], [zip_derived_cl2714, '44'])).
% 16.01/2.90 thf(zip_derived_cl2821, plain,
% 16.01/2.90 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.90 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 16.01/2.90 ( (ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.90 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 16.01/2.90 | ~ (ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.90 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)))
% 16.01/2.90 <= ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.90 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i,
% 16.01/2.90 X13 : $i]:
% 16.01/2.90 (~ (ssNder1_1r1 @ X0)
% 16.01/2.90 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.90 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.90 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.90 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.90 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.90 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6)
% 16.01/2.90 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.90 X5 @ X6 @ X7)
% 16.01/2.90 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.90 X5 @ X6 @ X7 @ X8)
% 16.01/2.90 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.90 X4 @ X5 @ X6 @ X7 @ X8 @ X9)
% 16.01/2.90 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.90 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 16.01/2.90 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.90 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 16.01/2.90 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 16.01/2.90 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 16.01/2.90 | (ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.90 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 16.01/2.90 | ~ (ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 16.01/2.90 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13))))),
% 16.01/2.90 inference('demod', [status(thm)],
% 16.01/2.90 [zip_derived_cl1090, zip_derived_cl1634, zip_derived_cl1646,
% 16.01/2.90 zip_derived_cl1717, zip_derived_cl1805, zip_derived_cl1967,
% 16.01/2.90 zip_derived_cl2176, zip_derived_cl2322, zip_derived_cl2380,
% 16.01/2.90 zip_derived_cl2438, zip_derived_cl2499, zip_derived_cl2567,
% 16.01/2.90 zip_derived_cl2629, zip_derived_cl2715])).
% 16.01/2.90 thf('47', plain,
% 16.01/2.90 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.90 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 16.01/2.90 (~ (ssNder1_1r1 @ X0)
% 16.01/2.90 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.90 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.90 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.90 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.90 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.90 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.90 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.90 X7)
% 16.01/2.90 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6 @ X7 @ X8)
% 16.01/2.90 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6 @ X7 @ X8 @ X9)
% 16.01/2.90 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.90 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 16.01/2.90 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.90 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 16.01/2.90 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.90 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 16.01/2.90 | (ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.90 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 16.01/2.90 | ~ (ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.90 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13))) |
% 16.01/2.90 ~ ( (ssNder1_0))),
% 16.01/2.90 inference('split', [status(esa)], [zip_derived_cl274])).
% 16.01/2.90 thf('48', plain,
% 16.01/2.90 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.90 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 16.01/2.90 (~ (ssNder1_1r1 @ X0)
% 16.01/2.90 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.90 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.90 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.90 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.90 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.90 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.90 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.90 X7)
% 16.01/2.90 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6 @ X7 @ X8)
% 16.01/2.90 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6 @ X7 @ X8 @ X9)
% 16.01/2.90 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.90 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 16.01/2.90 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.90 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 16.01/2.90 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.90 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 16.01/2.90 | (ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.90 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 16.01/2.90 | ~ (ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.90 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)))),
% 16.01/2.90 inference('sat_resolution*', [status(thm)], ['0', '47'])).
% 16.01/2.90 thf(zip_derived_cl2822, plain,
% 16.01/2.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.90 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 16.01/2.90 ( (ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.90 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 16.01/2.90 | ~ (ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.90 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13))),
% 16.01/2.90 inference('simpl_trail', [status(thm)], [zip_derived_cl2821, '48'])).
% 16.01/2.90 thf(zip_derived_cl3099, plain,
% 16.01/2.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.90 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 16.01/2.90 ( (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X13 @ X12 @ X11 @ X10 @
% 16.01/2.90 X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 16.01/2.90 | ~ (ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X13 @ X12 @ X11 @ X10 @
% 16.01/2.90 X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 16.01/2.90 | ~ (ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X13 @ X12 @ X11 @ X10 @
% 16.01/2.90 X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 16.01/2.90 | (ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X13 @ X12 @ X11 @ X10 @
% 16.01/2.90 X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1))),
% 16.01/2.90 inference('s_sup-', [status(thm)],
% 16.01/2.90 [zip_derived_cl3098, zip_derived_cl2822])).
% 16.01/2.90 thf(clause261, conjecture,
% 16.01/2.90 (~( ( ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.90 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) |
% 16.01/2.90 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 16.01/2.90 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 16.01/2.90 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 16.01/2.90 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 16.01/2.90 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 16.01/2.90 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 16.01/2.90 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 16.01/2.90 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 16.01/2.90 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 16.01/2.90 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.90 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 16.01/2.90 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.90 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 16.01/2.90 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.90 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 16.01/2.90 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.90 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 16.01/2.90 ( ~( ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.90 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) ))).
% 16.01/2.90 thf(zf_stmt_25, negated_conjecture,
% 16.01/2.90 (( ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.90 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) |
% 16.01/2.90 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 16.01/2.90 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 16.01/2.90 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 16.01/2.90 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 16.01/2.90 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 16.01/2.90 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 16.01/2.90 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 16.01/2.90 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 16.01/2.90 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.90 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 16.01/2.90 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.90 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 16.01/2.90 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.90 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 16.01/2.90 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.90 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 16.01/2.90 ( ~( ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.90 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) )),
% 16.01/2.90 inference('cnf.neg', [status(esa)], [clause261])).
% 16.01/2.90 thf(zip_derived_cl260, plain,
% 16.01/2.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.90 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 16.01/2.90 ( (ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.90 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 16.01/2.90 | ~ (ssNder1_0)
% 16.01/2.90 | ~ (ssNder1_1r1 @ X0)
% 16.01/2.90 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.90 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.90 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.90 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.90 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.90 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.90 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.90 X7)
% 16.01/2.90 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6 @ X7 @ X8)
% 16.01/2.90 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6 @ X7 @ X8 @ X9)
% 16.01/2.90 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.90 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 16.01/2.90 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.90 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 16.01/2.90 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.90 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 16.01/2.90 | ~ (ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.90 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12))),
% 16.01/2.90 inference('cnf', [status(esa)], [zf_stmt_25])).
% 16.01/2.90 thf(zip_derived_cl1062, plain,
% 16.01/2.90 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.90 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 16.01/2.90 (~ (ssNder1_1r1 @ X0)
% 16.01/2.90 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.90 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.90 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.90 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.90 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.90 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.90 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.90 X7)
% 16.01/2.90 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6 @ X7 @ X8)
% 16.01/2.90 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6 @ X7 @ X8 @ X9)
% 16.01/2.90 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.90 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 16.01/2.90 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.90 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 16.01/2.90 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.90 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 16.01/2.90 | ~ (ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.90 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 16.01/2.90 | (ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.90 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)))
% 16.01/2.90 <= ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.90 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i,
% 16.01/2.90 X13 : $i]:
% 16.01/2.90 (~ (ssNder1_1r1 @ X0)
% 16.01/2.90 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.90 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.90 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.90 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.90 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.90 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6)
% 16.01/2.90 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.90 X5 @ X6 @ X7)
% 16.01/2.90 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.90 X5 @ X6 @ X7 @ X8)
% 16.01/2.90 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.90 X4 @ X5 @ X6 @ X7 @ X8 @ X9)
% 16.01/2.90 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.90 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 16.01/2.90 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.90 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 16.01/2.90 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 16.01/2.90 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 16.01/2.90 | ~ (ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 16.01/2.90 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 16.01/2.90 | (ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 16.01/2.90 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13))))),
% 16.01/2.90 inference('split', [status(esa)], [zip_derived_cl260])).
% 16.01/2.90 thf(zip_derived_cl1634, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 16.01/2.90 inference('simpl_trail', [status(thm)], [zip_derived_cl544, '2'])).
% 16.01/2.90 thf(zip_derived_cl1646, plain,
% 16.01/2.90 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 16.01/2.90 inference('simpl_trail', [status(thm)], [zip_derived_cl1645, '4'])).
% 16.01/2.90 thf(zip_derived_cl1717, plain,
% 16.01/2.90 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 16.01/2.90 inference('simpl_trail', [status(thm)], [zip_derived_cl1716, '6'])).
% 16.01/2.90 thf(zip_derived_cl1805, plain,
% 16.01/2.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 16.01/2.90 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 16.01/2.90 inference('simpl_trail', [status(thm)], [zip_derived_cl1804, '10'])).
% 16.01/2.90 thf(zip_derived_cl1967, plain,
% 16.01/2.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 16.01/2.90 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 16.01/2.90 inference('simpl_trail', [status(thm)], [zip_derived_cl1966, '12'])).
% 16.01/2.90 thf(zip_derived_cl2176, plain,
% 16.01/2.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 16.01/2.90 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 16.01/2.90 inference('simpl_trail', [status(thm)], [zip_derived_cl2175, '14'])).
% 16.01/2.90 thf(zip_derived_cl2322, plain,
% 16.01/2.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 16.01/2.90 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 16.01/2.90 inference('simpl_trail', [status(thm)], [zip_derived_cl2321, '16'])).
% 16.01/2.90 thf(zip_derived_cl2380, plain,
% 16.01/2.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 16.01/2.90 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 16.01/2.90 inference('simpl_trail', [status(thm)], [zip_derived_cl2379, '18'])).
% 16.01/2.90 thf(zip_derived_cl2438, plain,
% 16.01/2.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.90 X7 : $i, X8 : $i]:
% 16.01/2.90 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.90 X7 @ X8)),
% 16.01/2.90 inference('simpl_trail', [status(thm)], [zip_derived_cl2437, '20'])).
% 16.01/2.90 thf(zip_derived_cl2499, plain,
% 16.01/2.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.90 X7 : $i, X8 : $i, X9 : $i]:
% 16.01/2.90 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.90 X7 @ X8 @ X9)),
% 16.01/2.90 inference('simpl_trail', [status(thm)], [zip_derived_cl2498, '34'])).
% 16.01/2.90 thf(zip_derived_cl2567, plain,
% 16.01/2.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.90 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 16.01/2.90 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6 @ X7 @ X8 @ X9 @ X10)),
% 16.01/2.90 inference('simpl_trail', [status(thm)], [zip_derived_cl2566, '38'])).
% 16.01/2.90 thf(zip_derived_cl2629, plain,
% 16.01/2.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.90 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 16.01/2.90 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 16.01/2.90 inference('simpl_trail', [status(thm)], [zip_derived_cl2628, '42'])).
% 16.01/2.90 thf(zip_derived_cl2715, plain,
% 16.01/2.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.90 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 16.01/2.90 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.90 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 16.01/2.90 inference('simpl_trail', [status(thm)], [zip_derived_cl2714, '44'])).
% 16.01/2.90 thf(zip_derived_cl2857, plain,
% 16.01/2.90 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.90 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 16.01/2.90 (~ (ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.90 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 16.01/2.90 | (ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.90 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)))
% 16.01/2.90 <= ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.90 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i,
% 16.01/2.90 X13 : $i]:
% 16.01/2.90 (~ (ssNder1_1r1 @ X0)
% 16.01/2.90 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.90 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.90 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.90 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.90 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.90 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6)
% 16.01/2.90 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.90 X5 @ X6 @ X7)
% 16.01/2.90 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.90 X5 @ X6 @ X7 @ X8)
% 16.01/2.90 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.90 X4 @ X5 @ X6 @ X7 @ X8 @ X9)
% 16.01/2.90 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.90 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 16.01/2.90 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.90 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 16.01/2.90 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 16.01/2.90 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 16.01/2.90 | ~ (ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 16.01/2.90 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 16.01/2.90 | (ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 16.01/2.90 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13))))),
% 16.01/2.90 inference('demod', [status(thm)],
% 16.01/2.90 [zip_derived_cl1062, zip_derived_cl1634, zip_derived_cl1646,
% 16.01/2.90 zip_derived_cl1717, zip_derived_cl1805, zip_derived_cl1967,
% 16.01/2.90 zip_derived_cl2176, zip_derived_cl2322, zip_derived_cl2380,
% 16.01/2.90 zip_derived_cl2438, zip_derived_cl2499, zip_derived_cl2567,
% 16.01/2.90 zip_derived_cl2629, zip_derived_cl2715])).
% 16.01/2.90 thf('49', plain,
% 16.01/2.90 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.90 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 16.01/2.90 (~ (ssNder1_1r1 @ X0)
% 16.01/2.90 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.90 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.90 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.90 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.90 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.90 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.90 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.90 X7)
% 16.01/2.90 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6 @ X7 @ X8)
% 16.01/2.90 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6 @ X7 @ X8 @ X9)
% 16.01/2.90 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.90 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 16.01/2.90 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.90 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 16.01/2.90 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.90 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 16.01/2.90 | ~ (ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.90 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 16.01/2.90 | (ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.90 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13))) |
% 16.01/2.90 ~ ( (ssNder1_0))),
% 16.01/2.90 inference('split', [status(esa)], [zip_derived_cl260])).
% 16.01/2.90 thf('50', plain,
% 16.01/2.90 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.90 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 16.01/2.90 (~ (ssNder1_1r1 @ X0)
% 16.01/2.90 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.90 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.90 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.90 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.90 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.90 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.90 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.90 X7)
% 16.01/2.90 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6 @ X7 @ X8)
% 16.01/2.90 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.90 X6 @ X7 @ X8 @ X9)
% 16.01/2.90 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.90 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 16.01/2.90 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.90 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 16.01/2.90 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.90 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 16.01/2.90 | ~ (ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.90 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 16.01/2.90 | (ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.90 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)))),
% 16.01/2.90 inference('sat_resolution*', [status(thm)], ['0', '49'])).
% 16.01/2.90 thf(zip_derived_cl2858, plain,
% 16.01/2.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.90 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 16.01/2.90 (~ (ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.90 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 16.01/2.90 | (ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.90 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13))),
% 16.01/2.90 inference('simpl_trail', [status(thm)], [zip_derived_cl2857, '50'])).
% 16.01/2.90 thf(clause181, conjecture,
% 16.01/2.90 (~( ( ssPv17_11r1r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.90 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) |
% 16.01/2.90 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 16.01/2.91 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 16.01/2.91 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 16.01/2.91 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 16.01/2.91 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 16.01/2.91 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 16.01/2.91 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 16.01/2.91 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 16.01/2.91 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 16.01/2.91 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.91 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 16.01/2.91 ( ~( ssPv17_10r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.91 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) ))).
% 16.01/2.91 thf(zf_stmt_26, negated_conjecture,
% 16.01/2.91 (( ssPv17_11r1r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.91 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) |
% 16.01/2.91 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 16.01/2.91 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 16.01/2.91 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 16.01/2.91 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 16.01/2.91 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 16.01/2.91 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 16.01/2.91 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 16.01/2.91 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 16.01/2.91 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.91 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 16.01/2.91 ( ~( ssPv17_10r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.91 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) )),
% 16.01/2.91 inference('cnf.neg', [status(esa)], [clause181])).
% 16.01/2.91 thf(zip_derived_cl180, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 16.01/2.91 ( (ssPv17_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6 @ X7 @ X8 @ X9 @ X10)
% 16.01/2.91 | ~ (ssNder1_0)
% 16.01/2.91 | ~ (ssNder1_1r1 @ X0)
% 16.01/2.91 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.91 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.91 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.91 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.91 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.91 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.91 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.91 X7)
% 16.01/2.91 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6 @ X7 @ X8)
% 16.01/2.91 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6 @ X7 @ X8 @ X9)
% 16.01/2.91 | ~ (ssPv17_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6 @ X7 @ X8 @ X9))),
% 16.01/2.91 inference('cnf', [status(esa)], [zf_stmt_26])).
% 16.01/2.91 thf(zip_derived_cl902, plain,
% 16.01/2.91 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 16.01/2.91 (~ (ssNder1_1r1 @ X0)
% 16.01/2.91 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.91 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.91 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.91 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.91 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.91 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.91 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.91 X7)
% 16.01/2.91 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6 @ X7 @ X8)
% 16.01/2.91 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6 @ X7 @ X8 @ X9)
% 16.01/2.91 | ~ (ssPv17_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6 @ X7 @ X8 @ X9)
% 16.01/2.91 | (ssPv17_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6 @ X7 @ X8 @ X9 @ X10)))
% 16.01/2.91 <= ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 16.01/2.91 (~ (ssNder1_1r1 @ X0)
% 16.01/2.91 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.91 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.91 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.91 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.91 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.91 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6)
% 16.01/2.91 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7)
% 16.01/2.91 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8)
% 16.01/2.91 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.91 X4 @ X5 @ X6 @ X7 @ X8 @ X9)
% 16.01/2.91 | ~ (ssPv17_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8 @ X9)
% 16.01/2.91 | (ssPv17_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.91 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10))))),
% 16.01/2.91 inference('split', [status(esa)], [zip_derived_cl180])).
% 16.01/2.91 thf(zip_derived_cl1634, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl544, '2'])).
% 16.01/2.91 thf(zip_derived_cl1646, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl1645, '4'])).
% 16.01/2.91 thf(zip_derived_cl1717, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl1716, '6'])).
% 16.01/2.91 thf(zip_derived_cl1805, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 16.01/2.91 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl1804, '10'])).
% 16.01/2.91 thf(zip_derived_cl1967, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 16.01/2.91 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl1966, '12'])).
% 16.01/2.91 thf(zip_derived_cl2176, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 16.01/2.91 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl2175, '14'])).
% 16.01/2.91 thf(zip_derived_cl2322, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 16.01/2.91 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl2321, '16'])).
% 16.01/2.91 thf(zip_derived_cl2380, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 16.01/2.91 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl2379, '18'])).
% 16.01/2.91 thf(zip_derived_cl2438, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i, X8 : $i]:
% 16.01/2.91 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.91 X7 @ X8)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl2437, '20'])).
% 16.01/2.91 thf(zip_derived_cl2499, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i, X8 : $i, X9 : $i]:
% 16.01/2.91 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.91 X7 @ X8 @ X9)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl2498, '34'])).
% 16.01/2.91 thf(zip_derived_cl2615, plain,
% 16.01/2.91 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 16.01/2.91 (~ (ssPv17_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6 @ X7 @ X8 @ X9)
% 16.01/2.91 | (ssPv17_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6 @ X7 @ X8 @ X9 @ X10)))
% 16.01/2.91 <= ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 16.01/2.91 (~ (ssNder1_1r1 @ X0)
% 16.01/2.91 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.91 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.91 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.91 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.91 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.91 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6)
% 16.01/2.91 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7)
% 16.01/2.91 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8)
% 16.01/2.91 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.91 X4 @ X5 @ X6 @ X7 @ X8 @ X9)
% 16.01/2.91 | ~ (ssPv17_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8 @ X9)
% 16.01/2.91 | (ssPv17_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.91 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10))))),
% 16.01/2.91 inference('demod', [status(thm)],
% 16.01/2.91 [zip_derived_cl902, zip_derived_cl1634, zip_derived_cl1646,
% 16.01/2.91 zip_derived_cl1717, zip_derived_cl1805, zip_derived_cl1967,
% 16.01/2.91 zip_derived_cl2176, zip_derived_cl2322, zip_derived_cl2380,
% 16.01/2.91 zip_derived_cl2438, zip_derived_cl2499])).
% 16.01/2.91 thf('51', plain,
% 16.01/2.91 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 16.01/2.91 (~ (ssNder1_1r1 @ X0)
% 16.01/2.91 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.91 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.91 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.91 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.91 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.91 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.91 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.91 X7)
% 16.01/2.91 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6 @ X7 @ X8)
% 16.01/2.91 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6 @ X7 @ X8 @ X9)
% 16.01/2.91 | ~ (ssPv17_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6 @ X7 @ X8 @ X9)
% 16.01/2.91 | (ssPv17_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6 @ X7 @ X8 @ X9 @ X10))) |
% 16.01/2.91 ~ ( (ssNder1_0))),
% 16.01/2.91 inference('split', [status(esa)], [zip_derived_cl180])).
% 16.01/2.91 thf('52', plain,
% 16.01/2.91 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 16.01/2.91 (~ (ssNder1_1r1 @ X0)
% 16.01/2.91 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.91 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.91 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.91 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.91 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.91 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.91 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.91 X7)
% 16.01/2.91 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6 @ X7 @ X8)
% 16.01/2.91 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6 @ X7 @ X8 @ X9)
% 16.01/2.91 | ~ (ssPv17_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6 @ X7 @ X8 @ X9)
% 16.01/2.91 | (ssPv17_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6 @ X7 @ X8 @ X9 @ X10)))),
% 16.01/2.91 inference('sat_resolution*', [status(thm)], ['0', '51'])).
% 16.01/2.91 thf(zip_derived_cl2616, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 16.01/2.91 (~ (ssPv17_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6 @ X7 @ X8 @ X9)
% 16.01/2.91 | (ssPv17_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6 @ X7 @ X8 @ X9 @ X10))),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl2615, '52'])).
% 16.01/2.91 thf(clause199, conjecture,
% 16.01/2.91 (~( ( ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.91 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) |
% 16.01/2.91 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 16.01/2.91 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 16.01/2.91 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 16.01/2.91 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 16.01/2.91 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 16.01/2.91 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 16.01/2.91 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 16.01/2.91 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 16.01/2.91 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 16.01/2.91 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.91 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 16.01/2.91 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.91 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 16.01/2.91 ( ~( ssPv17_11r1r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.91 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) ))).
% 16.01/2.91 thf(zf_stmt_27, negated_conjecture,
% 16.01/2.91 (( ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.91 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) |
% 16.01/2.91 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 16.01/2.91 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 16.01/2.91 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 16.01/2.91 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 16.01/2.91 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 16.01/2.91 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 16.01/2.91 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 16.01/2.91 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 16.01/2.91 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.91 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 16.01/2.91 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.91 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 16.01/2.91 ( ~( ssPv17_11r1r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.91 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) )),
% 16.01/2.91 inference('cnf.neg', [status(esa)], [clause199])).
% 16.01/2.91 thf(zip_derived_cl198, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 16.01/2.91 ( (ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 16.01/2.91 | ~ (ssNder1_0)
% 16.01/2.91 | ~ (ssNder1_1r1 @ X0)
% 16.01/2.91 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.91 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.91 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.91 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.91 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.91 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.91 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.91 X7)
% 16.01/2.91 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6 @ X7 @ X8)
% 16.01/2.91 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6 @ X7 @ X8 @ X9)
% 16.01/2.91 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 16.01/2.91 | ~ (ssPv17_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6 @ X7 @ X8 @ X9 @ X10))),
% 16.01/2.91 inference('cnf', [status(esa)], [zf_stmt_27])).
% 16.01/2.91 thf(zip_derived_cl938, plain,
% 16.01/2.91 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 16.01/2.91 (~ (ssNder1_1r1 @ X0)
% 16.01/2.91 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.91 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.91 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.91 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.91 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.91 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.91 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.91 X7)
% 16.01/2.91 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6 @ X7 @ X8)
% 16.01/2.91 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6 @ X7 @ X8 @ X9)
% 16.01/2.91 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 16.01/2.91 | ~ (ssPv17_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 16.01/2.91 | (ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)))
% 16.01/2.91 <= ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 16.01/2.91 (~ (ssNder1_1r1 @ X0)
% 16.01/2.91 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.91 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.91 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.91 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.91 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.91 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6)
% 16.01/2.91 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7)
% 16.01/2.91 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8)
% 16.01/2.91 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.91 X4 @ X5 @ X6 @ X7 @ X8 @ X9)
% 16.01/2.91 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.91 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 16.01/2.91 | ~ (ssPv17_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.91 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 16.01/2.91 | (ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.91 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11))))),
% 16.01/2.91 inference('split', [status(esa)], [zip_derived_cl198])).
% 16.01/2.91 thf(zip_derived_cl1634, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl544, '2'])).
% 16.01/2.91 thf(zip_derived_cl1646, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl1645, '4'])).
% 16.01/2.91 thf(zip_derived_cl1717, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl1716, '6'])).
% 16.01/2.91 thf(zip_derived_cl1805, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 16.01/2.91 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl1804, '10'])).
% 16.01/2.91 thf(zip_derived_cl1967, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 16.01/2.91 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl1966, '12'])).
% 16.01/2.91 thf(zip_derived_cl2176, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 16.01/2.91 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl2175, '14'])).
% 16.01/2.91 thf(zip_derived_cl2322, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 16.01/2.91 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl2321, '16'])).
% 16.01/2.91 thf(zip_derived_cl2380, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 16.01/2.91 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl2379, '18'])).
% 16.01/2.91 thf(zip_derived_cl2438, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i, X8 : $i]:
% 16.01/2.91 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.91 X7 @ X8)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl2437, '20'])).
% 16.01/2.91 thf(zip_derived_cl2499, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i, X8 : $i, X9 : $i]:
% 16.01/2.91 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.91 X7 @ X8 @ X9)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl2498, '34'])).
% 16.01/2.91 thf(zip_derived_cl2567, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 16.01/2.91 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6 @ X7 @ X8 @ X9 @ X10)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl2566, '38'])).
% 16.01/2.91 thf(zip_derived_cl2682, plain,
% 16.01/2.91 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 16.01/2.91 (~ (ssPv17_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6 @ X7 @ X8 @ X9 @ X10)
% 16.01/2.91 | (ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)))
% 16.01/2.91 <= ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 16.01/2.91 (~ (ssNder1_1r1 @ X0)
% 16.01/2.91 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.91 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.91 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.91 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.91 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.91 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6)
% 16.01/2.91 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7)
% 16.01/2.91 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8)
% 16.01/2.91 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.91 X4 @ X5 @ X6 @ X7 @ X8 @ X9)
% 16.01/2.91 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.91 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 16.01/2.91 | ~ (ssPv17_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.91 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 16.01/2.91 | (ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.91 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11))))),
% 16.01/2.91 inference('demod', [status(thm)],
% 16.01/2.91 [zip_derived_cl938, zip_derived_cl1634, zip_derived_cl1646,
% 16.01/2.91 zip_derived_cl1717, zip_derived_cl1805, zip_derived_cl1967,
% 16.01/2.91 zip_derived_cl2176, zip_derived_cl2322, zip_derived_cl2380,
% 16.01/2.91 zip_derived_cl2438, zip_derived_cl2499, zip_derived_cl2567])).
% 16.01/2.91 thf('53', plain,
% 16.01/2.91 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 16.01/2.91 (~ (ssNder1_1r1 @ X0)
% 16.01/2.91 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.91 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.91 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.91 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.91 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.91 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.91 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.91 X7)
% 16.01/2.91 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6 @ X7 @ X8)
% 16.01/2.91 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6 @ X7 @ X8 @ X9)
% 16.01/2.91 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 16.01/2.91 | ~ (ssPv17_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 16.01/2.91 | (ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11))) |
% 16.01/2.91 ~ ( (ssNder1_0))),
% 16.01/2.91 inference('split', [status(esa)], [zip_derived_cl198])).
% 16.01/2.91 thf('54', plain,
% 16.01/2.91 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 16.01/2.91 (~ (ssNder1_1r1 @ X0)
% 16.01/2.91 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.91 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.91 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.91 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.91 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.91 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.91 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.91 X7)
% 16.01/2.91 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6 @ X7 @ X8)
% 16.01/2.91 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6 @ X7 @ X8 @ X9)
% 16.01/2.91 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 16.01/2.91 | ~ (ssPv17_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 16.01/2.91 | (ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)))),
% 16.01/2.91 inference('sat_resolution*', [status(thm)], ['0', '53'])).
% 16.01/2.91 thf(zip_derived_cl2683, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 16.01/2.91 (~ (ssPv17_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6 @ X7 @ X8 @ X9 @ X10)
% 16.01/2.91 | (ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11))),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl2682, '54'])).
% 16.01/2.91 thf(clause241, conjecture,
% 16.01/2.91 (~( ( ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.91 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) |
% 16.01/2.91 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 16.01/2.91 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 16.01/2.91 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 16.01/2.91 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 16.01/2.91 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 16.01/2.91 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 16.01/2.91 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 16.01/2.91 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 16.01/2.91 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 16.01/2.91 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.91 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 16.01/2.91 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.91 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 16.01/2.91 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.91 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 16.01/2.91 ( ~( ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.91 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) ))).
% 16.01/2.91 thf(zf_stmt_28, negated_conjecture,
% 16.01/2.91 (( ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.91 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) |
% 16.01/2.91 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 16.01/2.91 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 16.01/2.91 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 16.01/2.91 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 16.01/2.91 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 16.01/2.91 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 16.01/2.91 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 16.01/2.91 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 16.01/2.91 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.91 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 16.01/2.91 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.91 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 16.01/2.91 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.91 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 16.01/2.91 ( ~( ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.91 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) )),
% 16.01/2.91 inference('cnf.neg', [status(esa)], [clause241])).
% 16.01/2.91 thf(zip_derived_cl240, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 16.01/2.91 ( (ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 16.01/2.91 | ~ (ssNder1_0)
% 16.01/2.91 | ~ (ssNder1_1r1 @ X0)
% 16.01/2.91 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.91 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.91 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.91 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.91 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.91 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.91 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.91 X7)
% 16.01/2.91 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6 @ X7 @ X8)
% 16.01/2.91 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6 @ X7 @ X8 @ X9)
% 16.01/2.91 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 16.01/2.91 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 16.01/2.91 | ~ (ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11))),
% 16.01/2.91 inference('cnf', [status(esa)], [zf_stmt_28])).
% 16.01/2.91 thf(zip_derived_cl1022, plain,
% 16.01/2.91 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 16.01/2.91 (~ (ssNder1_1r1 @ X0)
% 16.01/2.91 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.91 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.91 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.91 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.91 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.91 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.91 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.91 X7)
% 16.01/2.91 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6 @ X7 @ X8)
% 16.01/2.91 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6 @ X7 @ X8 @ X9)
% 16.01/2.91 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 16.01/2.91 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 16.01/2.91 | ~ (ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 16.01/2.91 | (ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)))
% 16.01/2.91 <= ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 16.01/2.91 (~ (ssNder1_1r1 @ X0)
% 16.01/2.91 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.91 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.91 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.91 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.91 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.91 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6)
% 16.01/2.91 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7)
% 16.01/2.91 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8)
% 16.01/2.91 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.91 X4 @ X5 @ X6 @ X7 @ X8 @ X9)
% 16.01/2.91 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.91 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 16.01/2.91 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.91 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 16.01/2.91 | ~ (ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.91 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 16.01/2.91 | (ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.91 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12))))),
% 16.01/2.91 inference('split', [status(esa)], [zip_derived_cl240])).
% 16.01/2.91 thf(zip_derived_cl1634, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl544, '2'])).
% 16.01/2.91 thf(zip_derived_cl1646, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl1645, '4'])).
% 16.01/2.91 thf(zip_derived_cl1717, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl1716, '6'])).
% 16.01/2.91 thf(zip_derived_cl1805, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 16.01/2.91 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl1804, '10'])).
% 16.01/2.91 thf(zip_derived_cl1967, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 16.01/2.91 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl1966, '12'])).
% 16.01/2.91 thf(zip_derived_cl2176, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 16.01/2.91 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl2175, '14'])).
% 16.01/2.91 thf(zip_derived_cl2322, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 16.01/2.91 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl2321, '16'])).
% 16.01/2.91 thf(zip_derived_cl2380, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 16.01/2.91 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl2379, '18'])).
% 16.01/2.91 thf(zip_derived_cl2438, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i, X8 : $i]:
% 16.01/2.91 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.91 X7 @ X8)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl2437, '20'])).
% 16.01/2.91 thf(zip_derived_cl2499, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i, X8 : $i, X9 : $i]:
% 16.01/2.91 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.91 X7 @ X8 @ X9)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl2498, '34'])).
% 16.01/2.91 thf(zip_derived_cl2567, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 16.01/2.91 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6 @ X7 @ X8 @ X9 @ X10)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl2566, '38'])).
% 16.01/2.91 thf(zip_derived_cl2629, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 16.01/2.91 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl2628, '42'])).
% 16.01/2.91 thf(zip_derived_cl2756, plain,
% 16.01/2.91 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 16.01/2.91 (~ (ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 16.01/2.91 | (ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)))
% 16.01/2.91 <= ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 16.01/2.91 (~ (ssNder1_1r1 @ X0)
% 16.01/2.91 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.91 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.91 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.91 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.91 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.91 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6)
% 16.01/2.91 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7)
% 16.01/2.91 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8)
% 16.01/2.91 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.91 X4 @ X5 @ X6 @ X7 @ X8 @ X9)
% 16.01/2.91 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.91 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 16.01/2.91 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.91 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 16.01/2.91 | ~ (ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.91 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 16.01/2.91 | (ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.91 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12))))),
% 16.01/2.91 inference('demod', [status(thm)],
% 16.01/2.91 [zip_derived_cl1022, zip_derived_cl1634, zip_derived_cl1646,
% 16.01/2.91 zip_derived_cl1717, zip_derived_cl1805, zip_derived_cl1967,
% 16.01/2.91 zip_derived_cl2176, zip_derived_cl2322, zip_derived_cl2380,
% 16.01/2.91 zip_derived_cl2438, zip_derived_cl2499, zip_derived_cl2567,
% 16.01/2.91 zip_derived_cl2629])).
% 16.01/2.91 thf('55', plain,
% 16.01/2.91 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 16.01/2.91 (~ (ssNder1_1r1 @ X0)
% 16.01/2.91 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.91 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.91 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.91 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.91 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.91 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.91 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.91 X7)
% 16.01/2.91 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6 @ X7 @ X8)
% 16.01/2.91 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6 @ X7 @ X8 @ X9)
% 16.01/2.91 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 16.01/2.91 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 16.01/2.91 | ~ (ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 16.01/2.91 | (ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12))) |
% 16.01/2.91 ~ ( (ssNder1_0))),
% 16.01/2.91 inference('split', [status(esa)], [zip_derived_cl240])).
% 16.01/2.91 thf('56', plain,
% 16.01/2.91 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 16.01/2.91 (~ (ssNder1_1r1 @ X0)
% 16.01/2.91 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.91 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.91 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.91 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.91 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.91 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.91 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.91 X7)
% 16.01/2.91 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6 @ X7 @ X8)
% 16.01/2.91 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6 @ X7 @ X8 @ X9)
% 16.01/2.91 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 16.01/2.91 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 16.01/2.91 | ~ (ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 16.01/2.91 | (ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)))),
% 16.01/2.91 inference('sat_resolution*', [status(thm)], ['0', '55'])).
% 16.01/2.91 thf(zip_derived_cl2757, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 16.01/2.91 (~ (ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 16.01/2.91 | (ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12))),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl2756, '56'])).
% 16.01/2.91 thf(zip_derived_cl2758, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 16.01/2.91 (~ (ssPv17_11r1r1r1r1r1r1r1r1r1r1r1 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @
% 16.01/2.91 X5 @ X4 @ X3 @ X2 @ X1)
% 16.01/2.91 | (ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X11 @ X10 @ X9 @ X8 @ X7 @
% 16.01/2.91 X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X12))),
% 16.01/2.91 inference('s_sup-', [status(thm)],
% 16.01/2.91 [zip_derived_cl2683, zip_derived_cl2757])).
% 16.01/2.91 thf(zip_derived_cl2762, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 16.01/2.91 (~ (ssPv17_10r1r1r1r1r1r1r1r1r1r1 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @
% 16.01/2.91 X4 @ X3 @ X2 @ X1)
% 16.01/2.91 | (ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X10 @ X9 @ X8 @ X7 @ X6 @
% 16.01/2.91 X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X12 @ X11))),
% 16.01/2.91 inference('s_sup-', [status(thm)],
% 16.01/2.91 [zip_derived_cl2616, zip_derived_cl2758])).
% 16.01/2.91 thf(clause135, conjecture,
% 16.01/2.91 (~( ( ssPv17_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) |
% 16.01/2.91 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 16.01/2.91 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 16.01/2.91 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 16.01/2.91 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 16.01/2.91 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 16.01/2.91 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 16.01/2.91 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 16.01/2.91 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 16.01/2.91 ( ~( ssPv17_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) ))).
% 16.01/2.91 thf(zf_stmt_29, negated_conjecture,
% 16.01/2.91 (( ssPv17_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) |
% 16.01/2.91 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 16.01/2.91 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 16.01/2.91 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 16.01/2.91 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 16.01/2.91 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 16.01/2.91 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 16.01/2.91 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 16.01/2.91 ( ~( ssPv17_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) )),
% 16.01/2.91 inference('cnf.neg', [status(esa)], [clause135])).
% 16.01/2.91 thf(zip_derived_cl134, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i, X8 : $i]:
% 16.01/2.91 ( (ssPv17_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.91 X7 @ X8)
% 16.01/2.91 | ~ (ssNder1_0)
% 16.01/2.91 | ~ (ssNder1_1r1 @ X0)
% 16.01/2.91 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.91 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.91 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.91 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.91 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.91 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.91 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.91 X7)
% 16.01/2.91 | ~ (ssPv17_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7))),
% 16.01/2.91 inference('cnf', [status(esa)], [zf_stmt_29])).
% 16.01/2.91 thf(zip_derived_cl810, plain,
% 16.01/2.91 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i, X8 : $i]:
% 16.01/2.91 (~ (ssNder1_1r1 @ X0)
% 16.01/2.91 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.91 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.91 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.91 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.91 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.91 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.91 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.91 X7)
% 16.01/2.91 | ~ (ssPv17_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.91 X7)
% 16.01/2.91 | (ssPv17_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.91 X7 @ X8)))
% 16.01/2.91 <= ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i, X8 : $i]:
% 16.01/2.91 (~ (ssNder1_1r1 @ X0)
% 16.01/2.91 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.91 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.91 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.91 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.91 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.91 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6)
% 16.01/2.91 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7)
% 16.01/2.91 | ~ (ssPv17_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6 @ X7)
% 16.01/2.91 | (ssPv17_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8))))),
% 16.01/2.91 inference('split', [status(esa)], [zip_derived_cl134])).
% 16.01/2.91 thf(zip_derived_cl1634, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl544, '2'])).
% 16.01/2.91 thf(zip_derived_cl1646, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl1645, '4'])).
% 16.01/2.91 thf(zip_derived_cl1717, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl1716, '6'])).
% 16.01/2.91 thf(zip_derived_cl1805, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 16.01/2.91 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl1804, '10'])).
% 16.01/2.91 thf(zip_derived_cl1967, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 16.01/2.91 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl1966, '12'])).
% 16.01/2.91 thf(zip_derived_cl2176, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 16.01/2.91 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl2175, '14'])).
% 16.01/2.91 thf(zip_derived_cl2322, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 16.01/2.91 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl2321, '16'])).
% 16.01/2.91 thf(zip_derived_cl2380, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 16.01/2.91 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl2379, '18'])).
% 16.01/2.91 thf(zip_derived_cl2495, plain,
% 16.01/2.91 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i, X8 : $i]:
% 16.01/2.91 (~ (ssPv17_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)
% 16.01/2.91 | (ssPv17_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.91 X7 @ X8)))
% 16.01/2.91 <= ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i, X8 : $i]:
% 16.01/2.91 (~ (ssNder1_1r1 @ X0)
% 16.01/2.91 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.91 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.91 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.91 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.91 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.91 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6)
% 16.01/2.91 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7)
% 16.01/2.91 | ~ (ssPv17_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6 @ X7)
% 16.01/2.91 | (ssPv17_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8))))),
% 16.01/2.91 inference('demod', [status(thm)],
% 16.01/2.91 [zip_derived_cl810, zip_derived_cl1634, zip_derived_cl1646,
% 16.01/2.91 zip_derived_cl1717, zip_derived_cl1805, zip_derived_cl1967,
% 16.01/2.91 zip_derived_cl2176, zip_derived_cl2322, zip_derived_cl2380])).
% 16.01/2.91 thf('57', plain,
% 16.01/2.91 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i, X8 : $i]:
% 16.01/2.91 (~ (ssNder1_1r1 @ X0)
% 16.01/2.91 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.91 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.91 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.91 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.91 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.91 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.91 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.91 X7)
% 16.01/2.91 | ~ (ssPv17_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.91 X7)
% 16.01/2.91 | (ssPv17_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.91 X7 @ X8))) |
% 16.01/2.91 ~ ( (ssNder1_0))),
% 16.01/2.91 inference('split', [status(esa)], [zip_derived_cl134])).
% 16.01/2.91 thf('58', plain,
% 16.01/2.91 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i, X8 : $i]:
% 16.01/2.91 (~ (ssNder1_1r1 @ X0)
% 16.01/2.91 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.91 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.91 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.91 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.91 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.91 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.91 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.91 X7)
% 16.01/2.91 | ~ (ssPv17_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.91 X7)
% 16.01/2.91 | (ssPv17_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.91 X7 @ X8)))),
% 16.01/2.91 inference('sat_resolution*', [status(thm)], ['0', '57'])).
% 16.01/2.91 thf(zip_derived_cl2496, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i, X8 : $i]:
% 16.01/2.91 (~ (ssPv17_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)
% 16.01/2.91 | (ssPv17_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.91 X7 @ X8))),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl2495, '58'])).
% 16.01/2.91 thf(clause148, conjecture,
% 16.01/2.91 (~( ( ssPv17_10r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.91 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) |
% 16.01/2.91 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 16.01/2.91 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 16.01/2.91 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 16.01/2.91 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 16.01/2.91 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 16.01/2.91 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 16.01/2.91 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 16.01/2.91 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 16.01/2.91 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 16.01/2.91 ( ~( ssPv17_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) ))).
% 16.01/2.91 thf(zf_stmt_30, negated_conjecture,
% 16.01/2.91 (( ssPv17_10r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.91 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) |
% 16.01/2.91 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 16.01/2.91 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 16.01/2.91 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 16.01/2.91 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 16.01/2.91 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 16.01/2.91 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 16.01/2.91 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 16.01/2.91 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 16.01/2.91 ( ~( ssPv17_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) )),
% 16.01/2.91 inference('cnf.neg', [status(esa)], [clause148])).
% 16.01/2.91 thf(zip_derived_cl147, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i, X8 : $i, X9 : $i]:
% 16.01/2.91 ( (ssPv17_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.91 X7 @ X8 @ X9)
% 16.01/2.91 | ~ (ssNder1_0)
% 16.01/2.91 | ~ (ssNder1_1r1 @ X0)
% 16.01/2.91 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.91 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.91 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.91 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.91 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.91 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.91 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.91 X7)
% 16.01/2.91 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6 @ X7 @ X8)
% 16.01/2.91 | ~ (ssPv17_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.91 X7 @ X8))),
% 16.01/2.91 inference('cnf', [status(esa)], [zf_stmt_30])).
% 16.01/2.91 thf(zip_derived_cl836, plain,
% 16.01/2.91 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i, X8 : $i, X9 : $i]:
% 16.01/2.91 (~ (ssNder1_1r1 @ X0)
% 16.01/2.91 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.91 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.91 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.91 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.91 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.91 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.91 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.91 X7)
% 16.01/2.91 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6 @ X7 @ X8)
% 16.01/2.91 | ~ (ssPv17_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6 @ X7 @ X8)
% 16.01/2.91 | (ssPv17_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6 @ X7 @ X8 @ X9)))
% 16.01/2.91 <= ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i, X8 : $i, X9 : $i]:
% 16.01/2.91 (~ (ssNder1_1r1 @ X0)
% 16.01/2.91 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.91 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.91 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.91 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.91 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.91 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6)
% 16.01/2.91 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7)
% 16.01/2.91 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8)
% 16.01/2.91 | ~ (ssPv17_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8)
% 16.01/2.91 | (ssPv17_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8 @ X9))))),
% 16.01/2.91 inference('split', [status(esa)], [zip_derived_cl147])).
% 16.01/2.91 thf(zip_derived_cl1634, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl544, '2'])).
% 16.01/2.91 thf(zip_derived_cl1646, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl1645, '4'])).
% 16.01/2.91 thf(zip_derived_cl1717, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl1716, '6'])).
% 16.01/2.91 thf(zip_derived_cl1805, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 16.01/2.91 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl1804, '10'])).
% 16.01/2.91 thf(zip_derived_cl1967, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 16.01/2.91 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl1966, '12'])).
% 16.01/2.91 thf(zip_derived_cl2176, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 16.01/2.91 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl2175, '14'])).
% 16.01/2.91 thf(zip_derived_cl2322, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 16.01/2.91 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl2321, '16'])).
% 16.01/2.91 thf(zip_derived_cl2380, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 16.01/2.91 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl2379, '18'])).
% 16.01/2.91 thf(zip_derived_cl2438, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i, X8 : $i]:
% 16.01/2.91 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.91 X7 @ X8)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl2437, '20'])).
% 16.01/2.91 thf(zip_derived_cl2525, plain,
% 16.01/2.91 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i, X8 : $i, X9 : $i]:
% 16.01/2.91 (~ (ssPv17_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.91 X7 @ X8)
% 16.01/2.91 | (ssPv17_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6 @ X7 @ X8 @ X9)))
% 16.01/2.91 <= ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i, X8 : $i, X9 : $i]:
% 16.01/2.91 (~ (ssNder1_1r1 @ X0)
% 16.01/2.91 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.91 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.91 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.91 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.91 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.91 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6)
% 16.01/2.91 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7)
% 16.01/2.91 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8)
% 16.01/2.91 | ~ (ssPv17_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8)
% 16.01/2.91 | (ssPv17_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8 @ X9))))),
% 16.01/2.91 inference('demod', [status(thm)],
% 16.01/2.91 [zip_derived_cl836, zip_derived_cl1634, zip_derived_cl1646,
% 16.01/2.91 zip_derived_cl1717, zip_derived_cl1805, zip_derived_cl1967,
% 16.01/2.91 zip_derived_cl2176, zip_derived_cl2322, zip_derived_cl2380,
% 16.01/2.91 zip_derived_cl2438])).
% 16.01/2.91 thf('59', plain,
% 16.01/2.91 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i, X8 : $i, X9 : $i]:
% 16.01/2.91 (~ (ssNder1_1r1 @ X0)
% 16.01/2.91 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.91 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.91 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.91 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.91 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.91 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.91 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.91 X7)
% 16.01/2.91 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6 @ X7 @ X8)
% 16.01/2.91 | ~ (ssPv17_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6 @ X7 @ X8)
% 16.01/2.91 | (ssPv17_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6 @ X7 @ X8 @ X9))) |
% 16.01/2.91 ~ ( (ssNder1_0))),
% 16.01/2.91 inference('split', [status(esa)], [zip_derived_cl147])).
% 16.01/2.91 thf('60', plain,
% 16.01/2.91 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i, X8 : $i, X9 : $i]:
% 16.01/2.91 (~ (ssNder1_1r1 @ X0)
% 16.01/2.91 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.91 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.91 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.91 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.91 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.91 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.91 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.91 X7)
% 16.01/2.91 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6 @ X7 @ X8)
% 16.01/2.91 | ~ (ssPv17_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6 @ X7 @ X8)
% 16.01/2.91 | (ssPv17_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6 @ X7 @ X8 @ X9)))),
% 16.01/2.91 inference('sat_resolution*', [status(thm)], ['0', '59'])).
% 16.01/2.91 thf(zip_derived_cl2526, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i, X8 : $i, X9 : $i]:
% 16.01/2.91 (~ (ssPv17_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.91 X7 @ X8)
% 16.01/2.91 | (ssPv17_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6 @ X7 @ X8 @ X9))),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl2525, '60'])).
% 16.01/2.91 thf(zip_derived_cl2527, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i, X8 : $i, X9 : $i]:
% 16.01/2.91 (~ (ssPv17_8r1r1r1r1r1r1r1r1 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1)
% 16.01/2.91 | (ssPv17_10r1r1r1r1r1r1r1r1r1r1 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @
% 16.01/2.91 X2 @ X1 @ X0 @ X9))),
% 16.01/2.91 inference('s_sup-', [status(thm)],
% 16.01/2.91 [zip_derived_cl2496, zip_derived_cl2526])).
% 16.01/2.91 thf(clause108, conjecture,
% 16.01/2.91 (~( ( ssPv17_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) |
% 16.01/2.91 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 16.01/2.91 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 16.01/2.91 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 16.01/2.91 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 16.01/2.91 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 16.01/2.91 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 16.01/2.91 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 16.01/2.91 ( ~( ssPv17_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) ))).
% 16.01/2.91 thf(zf_stmt_31, negated_conjecture,
% 16.01/2.91 (( ssPv17_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) |
% 16.01/2.91 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 16.01/2.91 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 16.01/2.91 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 16.01/2.91 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 16.01/2.91 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 16.01/2.91 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 16.01/2.91 ( ~( ssPv17_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) )),
% 16.01/2.91 inference('cnf.neg', [status(esa)], [clause108])).
% 16.01/2.91 thf(zip_derived_cl107, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 16.01/2.91 ( (ssPv17_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)
% 16.01/2.91 | ~ (ssNder1_0)
% 16.01/2.91 | ~ (ssNder1_1r1 @ X0)
% 16.01/2.91 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.91 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.91 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.91 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.91 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.91 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.91 | ~ (ssPv17_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6))),
% 16.01/2.91 inference('cnf', [status(esa)], [zf_stmt_31])).
% 16.01/2.91 thf(zip_derived_cl756, plain,
% 16.01/2.91 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i]:
% 16.01/2.91 (~ (ssNder1_1r1 @ X0)
% 16.01/2.91 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.91 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.91 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.91 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.91 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.91 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.91 | ~ (ssPv17_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.91 | (ssPv17_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)))
% 16.01/2.91 <= ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i]:
% 16.01/2.91 (~ (ssNder1_1r1 @ X0)
% 16.01/2.91 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.91 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.91 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.91 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.91 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.91 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6)
% 16.01/2.91 | ~ (ssPv17_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.91 | (ssPv17_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6 @ X7))))),
% 16.01/2.91 inference('split', [status(esa)], [zip_derived_cl107])).
% 16.01/2.91 thf(zip_derived_cl1634, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl544, '2'])).
% 16.01/2.91 thf(zip_derived_cl1646, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl1645, '4'])).
% 16.01/2.91 thf(zip_derived_cl1717, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl1716, '6'])).
% 16.01/2.91 thf(zip_derived_cl1805, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 16.01/2.91 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl1804, '10'])).
% 16.01/2.91 thf(zip_derived_cl1967, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 16.01/2.91 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl1966, '12'])).
% 16.01/2.91 thf(zip_derived_cl2176, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 16.01/2.91 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl2175, '14'])).
% 16.01/2.91 thf(zip_derived_cl2322, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 16.01/2.91 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl2321, '16'])).
% 16.01/2.91 thf(zip_derived_cl2426, plain,
% 16.01/2.91 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i]:
% 16.01/2.91 (~ (ssPv17_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.91 | (ssPv17_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)))
% 16.01/2.91 <= ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i]:
% 16.01/2.91 (~ (ssNder1_1r1 @ X0)
% 16.01/2.91 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.91 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.91 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.91 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.91 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.91 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6)
% 16.01/2.91 | ~ (ssPv17_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.91 | (ssPv17_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6 @ X7))))),
% 16.01/2.91 inference('demod', [status(thm)],
% 16.01/2.91 [zip_derived_cl756, zip_derived_cl1634, zip_derived_cl1646,
% 16.01/2.91 zip_derived_cl1717, zip_derived_cl1805, zip_derived_cl1967,
% 16.01/2.91 zip_derived_cl2176, zip_derived_cl2322])).
% 16.01/2.91 thf('61', plain,
% 16.01/2.91 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i]:
% 16.01/2.91 (~ (ssNder1_1r1 @ X0)
% 16.01/2.91 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.91 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.91 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.91 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.91 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.91 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.91 | ~ (ssPv17_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.91 | (ssPv17_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7))) |
% 16.01/2.91 ~ ( (ssNder1_0))),
% 16.01/2.91 inference('split', [status(esa)], [zip_derived_cl107])).
% 16.01/2.91 thf('62', plain,
% 16.01/2.91 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i]:
% 16.01/2.91 (~ (ssNder1_1r1 @ X0)
% 16.01/2.91 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.91 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.91 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.91 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.91 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.91 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.91 | ~ (ssPv17_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.91 | (ssPv17_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)))),
% 16.01/2.91 inference('sat_resolution*', [status(thm)], ['0', '61'])).
% 16.01/2.91 thf(zip_derived_cl2427, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 16.01/2.91 (~ (ssPv17_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.91 | (ssPv17_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7))),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl2426, '62'])).
% 16.01/2.91 thf(clause85, conjecture,
% 16.01/2.91 (~( ( ssPv17_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) |
% 16.01/2.91 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 16.01/2.91 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 16.01/2.91 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 16.01/2.91 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 16.01/2.91 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 16.01/2.91 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 16.01/2.91 ( ~( ssPv17_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) ))).
% 16.01/2.91 thf(zf_stmt_32, negated_conjecture,
% 16.01/2.91 (( ssPv17_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) |
% 16.01/2.91 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 16.01/2.91 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 16.01/2.91 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 16.01/2.91 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 16.01/2.91 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 16.01/2.91 ( ~( ssPv17_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) )),
% 16.01/2.91 inference('cnf.neg', [status(esa)], [clause85])).
% 16.01/2.91 thf(zip_derived_cl84, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 16.01/2.91 ( (ssPv17_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.91 | ~ (ssNder1_0)
% 16.01/2.91 | ~ (ssNder1_1r1 @ X0)
% 16.01/2.91 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.91 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.91 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.91 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.91 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.91 | ~ (ssPv17_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5))),
% 16.01/2.91 inference('cnf', [status(esa)], [zf_stmt_32])).
% 16.01/2.91 thf(zip_derived_cl710, plain,
% 16.01/2.91 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 16.01/2.91 (~ (ssNder1_1r1 @ X0)
% 16.01/2.91 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.91 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.91 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.91 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.91 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.91 | ~ (ssPv17_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.91 | (ssPv17_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)))
% 16.01/2.91 <= ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 16.01/2.91 (~ (ssNder1_1r1 @ X0)
% 16.01/2.91 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.91 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.91 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.91 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.91 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.91 | ~ (ssPv17_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.91 | (ssPv17_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6))))),
% 16.01/2.91 inference('split', [status(esa)], [zip_derived_cl84])).
% 16.01/2.91 thf(zip_derived_cl1634, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl544, '2'])).
% 16.01/2.91 thf(zip_derived_cl1646, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl1645, '4'])).
% 16.01/2.91 thf(zip_derived_cl1717, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl1716, '6'])).
% 16.01/2.91 thf(zip_derived_cl1805, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 16.01/2.91 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl1804, '10'])).
% 16.01/2.91 thf(zip_derived_cl1967, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 16.01/2.91 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl1966, '12'])).
% 16.01/2.91 thf(zip_derived_cl2176, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 16.01/2.91 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl2175, '14'])).
% 16.01/2.91 thf(zip_derived_cl2366, plain,
% 16.01/2.91 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 16.01/2.91 (~ (ssPv17_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.91 | (ssPv17_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)))
% 16.01/2.91 <= ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 16.01/2.91 (~ (ssNder1_1r1 @ X0)
% 16.01/2.91 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.91 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.91 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.91 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.91 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.91 | ~ (ssPv17_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.91 | (ssPv17_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6))))),
% 16.01/2.91 inference('demod', [status(thm)],
% 16.01/2.91 [zip_derived_cl710, zip_derived_cl1634, zip_derived_cl1646,
% 16.01/2.91 zip_derived_cl1717, zip_derived_cl1805, zip_derived_cl1967,
% 16.01/2.91 zip_derived_cl2176])).
% 16.01/2.91 thf('63', plain,
% 16.01/2.91 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 16.01/2.91 (~ (ssNder1_1r1 @ X0)
% 16.01/2.91 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.91 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.91 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.91 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.91 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.91 | ~ (ssPv17_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.91 | (ssPv17_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6))) |
% 16.01/2.91 ~ ( (ssNder1_0))),
% 16.01/2.91 inference('split', [status(esa)], [zip_derived_cl84])).
% 16.01/2.91 thf('64', plain,
% 16.01/2.91 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 16.01/2.91 (~ (ssNder1_1r1 @ X0)
% 16.01/2.91 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.91 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.91 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.91 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.91 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.91 | ~ (ssPv17_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.91 | (ssPv17_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)))),
% 16.01/2.91 inference('sat_resolution*', [status(thm)], ['0', '63'])).
% 16.01/2.91 thf(zip_derived_cl2367, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 16.01/2.91 (~ (ssPv17_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.91 | (ssPv17_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6))),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl2366, '64'])).
% 16.01/2.91 thf(clause63, conjecture,
% 16.01/2.91 (~( ( ssPv17_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) |
% 16.01/2.91 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 16.01/2.91 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 16.01/2.91 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 16.01/2.91 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 16.01/2.91 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 16.01/2.91 ( ~( ssPv17_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) ))).
% 16.01/2.91 thf(zf_stmt_33, negated_conjecture,
% 16.01/2.91 (( ssPv17_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) | ( ~( ssNder1_0 ) ) |
% 16.01/2.91 ( ~( ssNder1_1r1 @ U ) ) | ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 16.01/2.91 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 16.01/2.91 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 16.01/2.91 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 16.01/2.91 ( ~( ssPv17_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) )),
% 16.01/2.91 inference('cnf.neg', [status(esa)], [clause63])).
% 16.01/2.91 thf(zip_derived_cl62, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 16.01/2.91 ( (ssPv17_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.91 | ~ (ssNder1_0)
% 16.01/2.91 | ~ (ssNder1_1r1 @ X0)
% 16.01/2.91 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.91 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.91 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.91 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.91 | ~ (ssPv17_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4))),
% 16.01/2.91 inference('cnf', [status(esa)], [zf_stmt_33])).
% 16.01/2.91 thf(zip_derived_cl666, plain,
% 16.01/2.91 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 16.01/2.91 (~ (ssNder1_1r1 @ X0)
% 16.01/2.91 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.91 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.91 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.91 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.91 | ~ (ssPv17_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.91 | (ssPv17_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)))
% 16.01/2.91 <= ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 16.01/2.91 (~ (ssNder1_1r1 @ X0)
% 16.01/2.91 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.91 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.91 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.91 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.91 | ~ (ssPv17_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.91 | (ssPv17_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5))))),
% 16.01/2.91 inference('split', [status(esa)], [zip_derived_cl62])).
% 16.01/2.91 thf(zip_derived_cl1634, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl544, '2'])).
% 16.01/2.91 thf(zip_derived_cl1646, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl1645, '4'])).
% 16.01/2.91 thf(zip_derived_cl1717, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl1716, '6'])).
% 16.01/2.91 thf(zip_derived_cl1805, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 16.01/2.91 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl1804, '10'])).
% 16.01/2.91 thf(zip_derived_cl1967, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 16.01/2.91 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl1966, '12'])).
% 16.01/2.91 thf(zip_derived_cl2315, plain,
% 16.01/2.91 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 16.01/2.91 (~ (ssPv17_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.91 | (ssPv17_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)))
% 16.01/2.91 <= ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 16.01/2.91 (~ (ssNder1_1r1 @ X0)
% 16.01/2.91 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.91 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.91 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.91 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.91 | ~ (ssPv17_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.91 | (ssPv17_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5))))),
% 16.01/2.91 inference('demod', [status(thm)],
% 16.01/2.91 [zip_derived_cl666, zip_derived_cl1634, zip_derived_cl1646,
% 16.01/2.91 zip_derived_cl1717, zip_derived_cl1805, zip_derived_cl1967])).
% 16.01/2.91 thf('65', plain,
% 16.01/2.91 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 16.01/2.91 (~ (ssNder1_1r1 @ X0)
% 16.01/2.91 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.91 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.91 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.91 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.91 | ~ (ssPv17_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.91 | (ssPv17_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5))) |
% 16.01/2.91 ~ ( (ssNder1_0))),
% 16.01/2.91 inference('split', [status(esa)], [zip_derived_cl62])).
% 16.01/2.91 thf('66', plain,
% 16.01/2.91 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 16.01/2.91 (~ (ssNder1_1r1 @ X0)
% 16.01/2.91 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.91 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.91 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.91 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.91 | ~ (ssPv17_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.91 | (ssPv17_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)))),
% 16.01/2.91 inference('sat_resolution*', [status(thm)], ['0', '65'])).
% 16.01/2.91 thf(zip_derived_cl2316, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 16.01/2.91 (~ (ssPv17_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.91 | (ssPv17_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5))),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl2315, '66'])).
% 16.01/2.91 thf(clause37, conjecture,
% 16.01/2.91 (~( ( ssPv17_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) | ( ~( ssNder1_0 ) ) |
% 16.01/2.91 ( ~( ssNder1_1r1 @ U ) ) | ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 16.01/2.91 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 16.01/2.91 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 16.01/2.91 ( ~( ssPv17_4r1r1r1r1 @ U @ V @ W @ X ) ) ))).
% 16.01/2.91 thf(zf_stmt_34, negated_conjecture,
% 16.01/2.91 (( ssPv17_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) | ( ~( ssNder1_0 ) ) |
% 16.01/2.91 ( ~( ssNder1_1r1 @ U ) ) | ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 16.01/2.91 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 16.01/2.91 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 16.01/2.91 ( ~( ssPv17_4r1r1r1r1 @ U @ V @ W @ X ) )),
% 16.01/2.91 inference('cnf.neg', [status(esa)], [clause37])).
% 16.01/2.91 thf(zip_derived_cl36, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 16.01/2.91 ( (ssPv17_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.91 | ~ (ssNder1_0)
% 16.01/2.91 | ~ (ssNder1_1r1 @ X0)
% 16.01/2.91 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.91 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.91 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.91 | ~ (ssPv17_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3))),
% 16.01/2.91 inference('cnf', [status(esa)], [zf_stmt_34])).
% 16.01/2.91 thf(zip_derived_cl614, plain,
% 16.01/2.91 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 16.01/2.91 (~ (ssNder1_1r1 @ X0)
% 16.01/2.91 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.91 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.91 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.91 | (ssPv17_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.91 | ~ (ssPv17_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)))
% 16.01/2.91 <= ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 16.01/2.91 (~ (ssNder1_1r1 @ X0)
% 16.01/2.91 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.91 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.91 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.91 | (ssPv17_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.91 | ~ (ssPv17_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3))))),
% 16.01/2.91 inference('split', [status(esa)], [zip_derived_cl36])).
% 16.01/2.91 thf(zip_derived_cl1634, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl544, '2'])).
% 16.01/2.91 thf(zip_derived_cl1646, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl1645, '4'])).
% 16.01/2.91 thf(zip_derived_cl1717, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl1716, '6'])).
% 16.01/2.91 thf(zip_derived_cl1805, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 16.01/2.91 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl1804, '10'])).
% 16.01/2.91 thf(zip_derived_cl2062, plain,
% 16.01/2.91 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 16.01/2.91 ( (ssPv17_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.91 | ~ (ssPv17_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)))
% 16.01/2.91 <= ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 16.01/2.91 (~ (ssNder1_1r1 @ X0)
% 16.01/2.91 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.91 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.91 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.91 | (ssPv17_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.91 | ~ (ssPv17_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3))))),
% 16.01/2.91 inference('demod', [status(thm)],
% 16.01/2.91 [zip_derived_cl614, zip_derived_cl1634, zip_derived_cl1646,
% 16.01/2.91 zip_derived_cl1717, zip_derived_cl1805])).
% 16.01/2.91 thf('67', plain,
% 16.01/2.91 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 16.01/2.91 (~ (ssNder1_1r1 @ X0)
% 16.01/2.91 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.91 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.91 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.91 | (ssPv17_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.91 | ~ (ssPv17_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3))) |
% 16.01/2.91 ~ ( (ssNder1_0))),
% 16.01/2.91 inference('split', [status(esa)], [zip_derived_cl36])).
% 16.01/2.91 thf('68', plain,
% 16.01/2.91 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 16.01/2.91 (~ (ssNder1_1r1 @ X0)
% 16.01/2.91 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.91 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.91 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.91 | (ssPv17_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.91 | ~ (ssPv17_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)))),
% 16.01/2.91 inference('sat_resolution*', [status(thm)], ['0', '67'])).
% 16.01/2.91 thf(zip_derived_cl2063, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 16.01/2.91 ( (ssPv17_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.91 | ~ (ssPv17_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3))),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl2062, '68'])).
% 16.01/2.91 thf(zip_derived_cl2604, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 16.01/2.91 ( (ssPv11_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6 @ X7 @ X8 @ X9 @ X10)
% 16.01/2.91 | ~ (ssPv11_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6 @ X7 @ X8 @ X9))),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl2603, '36'])).
% 16.01/2.91 thf(zip_derived_cl2703, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 16.01/2.91 (~ (ssPv11_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6 @ X7 @ X8 @ X9 @ X10)
% 16.01/2.91 | (ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11))),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl2702, '40'])).
% 16.01/2.91 thf(clause217, conjecture,
% 16.01/2.91 (~( ( ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.91 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ skc20 ) |
% 16.01/2.91 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 16.01/2.91 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 16.01/2.91 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 16.01/2.91 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 16.01/2.91 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 16.01/2.91 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 16.01/2.91 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 16.01/2.91 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 16.01/2.91 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 16.01/2.91 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.91 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 16.01/2.91 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.91 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 16.01/2.91 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.91 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) ))).
% 16.01/2.91 thf(zf_stmt_35, negated_conjecture,
% 16.01/2.91 (( ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.91 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ skc20 ) |
% 16.01/2.91 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 16.01/2.91 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 16.01/2.91 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 16.01/2.91 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 16.01/2.91 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 16.01/2.91 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 16.01/2.91 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 16.01/2.91 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 16.01/2.91 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.91 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 16.01/2.91 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.91 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 16.01/2.91 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.91 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) )),
% 16.01/2.91 inference('cnf.neg', [status(esa)], [clause217])).
% 16.01/2.91 thf(zip_derived_cl216, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 16.01/2.91 ( (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ skc20)
% 16.01/2.91 | ~ (ssNder1_0)
% 16.01/2.91 | ~ (ssNder1_1r1 @ X0)
% 16.01/2.91 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.91 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.91 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.91 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.91 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.91 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.91 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.91 X7)
% 16.01/2.91 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6 @ X7 @ X8)
% 16.01/2.91 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6 @ X7 @ X8 @ X9)
% 16.01/2.91 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 16.01/2.91 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11))),
% 16.01/2.91 inference('cnf', [status(esa)], [zf_stmt_35])).
% 16.01/2.91 thf(zip_derived_cl974, plain,
% 16.01/2.91 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 16.01/2.91 (~ (ssNder1_1r1 @ X0)
% 16.01/2.91 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.91 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.91 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.91 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.91 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.91 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.91 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.91 X7)
% 16.01/2.91 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6 @ X7 @ X8)
% 16.01/2.91 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6 @ X7 @ X8 @ X9)
% 16.01/2.91 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 16.01/2.91 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 16.01/2.91 | (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ skc20)))
% 16.01/2.91 <= ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 16.01/2.91 (~ (ssNder1_1r1 @ X0)
% 16.01/2.91 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.91 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.91 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.91 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.91 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.91 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6)
% 16.01/2.91 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7)
% 16.01/2.91 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8)
% 16.01/2.91 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.91 X4 @ X5 @ X6 @ X7 @ X8 @ X9)
% 16.01/2.91 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.91 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 16.01/2.91 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.91 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 16.01/2.91 | (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 16.01/2.91 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ skc20))))),
% 16.01/2.91 inference('split', [status(esa)], [zip_derived_cl216])).
% 16.01/2.91 thf(zip_derived_cl1634, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl544, '2'])).
% 16.01/2.91 thf(zip_derived_cl1646, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl1645, '4'])).
% 16.01/2.91 thf(zip_derived_cl1717, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl1716, '6'])).
% 16.01/2.91 thf(zip_derived_cl1805, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 16.01/2.91 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl1804, '10'])).
% 16.01/2.91 thf(zip_derived_cl1967, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 16.01/2.91 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl1966, '12'])).
% 16.01/2.91 thf(zip_derived_cl2176, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 16.01/2.91 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl2175, '14'])).
% 16.01/2.91 thf(zip_derived_cl2322, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 16.01/2.91 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl2321, '16'])).
% 16.01/2.91 thf(zip_derived_cl2380, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 16.01/2.91 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl2379, '18'])).
% 16.01/2.91 thf(zip_derived_cl2438, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i, X8 : $i]:
% 16.01/2.91 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.91 X7 @ X8)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl2437, '20'])).
% 16.01/2.91 thf(zip_derived_cl2499, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i, X8 : $i, X9 : $i]:
% 16.01/2.91 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.91 X7 @ X8 @ X9)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl2498, '34'])).
% 16.01/2.91 thf(zip_derived_cl2567, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 16.01/2.91 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6 @ X7 @ X8 @ X9 @ X10)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl2566, '38'])).
% 16.01/2.91 thf(zip_derived_cl2629, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 16.01/2.91 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl2628, '42'])).
% 16.01/2.91 thf(zip_derived_cl2720, plain,
% 16.01/2.91 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 16.01/2.91 (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ skc20))
% 16.01/2.91 <= ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 16.01/2.91 (~ (ssNder1_1r1 @ X0)
% 16.01/2.91 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.91 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.91 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.91 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.91 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.91 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6)
% 16.01/2.91 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7)
% 16.01/2.91 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8)
% 16.01/2.91 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.91 X4 @ X5 @ X6 @ X7 @ X8 @ X9)
% 16.01/2.91 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.91 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 16.01/2.91 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.91 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 16.01/2.91 | (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 16.01/2.91 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ skc20))))),
% 16.01/2.91 inference('demod', [status(thm)],
% 16.01/2.91 [zip_derived_cl974, zip_derived_cl1634, zip_derived_cl1646,
% 16.01/2.91 zip_derived_cl1717, zip_derived_cl1805, zip_derived_cl1967,
% 16.01/2.91 zip_derived_cl2176, zip_derived_cl2322, zip_derived_cl2380,
% 16.01/2.91 zip_derived_cl2438, zip_derived_cl2499, zip_derived_cl2567,
% 16.01/2.91 zip_derived_cl2629])).
% 16.01/2.91 thf('69', plain,
% 16.01/2.91 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 16.01/2.91 (~ (ssNder1_1r1 @ X0)
% 16.01/2.91 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.91 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.91 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.91 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.91 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.91 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.91 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.91 X7)
% 16.01/2.91 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6 @ X7 @ X8)
% 16.01/2.91 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6 @ X7 @ X8 @ X9)
% 16.01/2.91 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 16.01/2.91 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 16.01/2.91 | (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ skc20))) |
% 16.01/2.91 ~ ( (ssNder1_0))),
% 16.01/2.91 inference('split', [status(esa)], [zip_derived_cl216])).
% 16.01/2.91 thf('70', plain,
% 16.01/2.91 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 16.01/2.91 (~ (ssNder1_1r1 @ X0)
% 16.01/2.91 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.91 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.91 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.91 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.91 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.91 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.91 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.91 X7)
% 16.01/2.91 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6 @ X7 @ X8)
% 16.01/2.91 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6 @ X7 @ X8 @ X9)
% 16.01/2.91 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 16.01/2.91 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 16.01/2.91 | (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ skc20)))),
% 16.01/2.91 inference('sat_resolution*', [status(thm)], ['0', '69'])).
% 16.01/2.91 thf(zip_derived_cl2721, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 16.01/2.91 (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ skc20)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl2720, '70'])).
% 16.01/2.91 thf(clause249, conjecture,
% 16.01/2.91 (~( ( ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.91 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ skc18 ) |
% 16.01/2.91 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 16.01/2.91 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 16.01/2.91 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 16.01/2.91 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 16.01/2.91 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 16.01/2.91 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 16.01/2.91 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 16.01/2.91 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 16.01/2.91 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 16.01/2.91 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.91 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 16.01/2.91 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.91 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 16.01/2.91 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.91 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 16.01/2.91 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.91 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) ))).
% 16.01/2.91 thf(zf_stmt_36, negated_conjecture,
% 16.01/2.91 (( ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.91 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ skc18 ) |
% 16.01/2.91 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 16.01/2.91 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 16.01/2.91 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 16.01/2.91 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 16.01/2.91 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 16.01/2.91 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 16.01/2.91 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 16.01/2.91 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 16.01/2.91 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.91 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 16.01/2.91 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.91 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 16.01/2.91 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.91 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 16.01/2.91 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.91 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) )),
% 16.01/2.91 inference('cnf.neg', [status(esa)], [clause249])).
% 16.01/2.91 thf(zip_derived_cl248, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 16.01/2.91 ( (ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ skc18)
% 16.01/2.91 | ~ (ssNder1_0)
% 16.01/2.91 | ~ (ssNder1_1r1 @ X0)
% 16.01/2.91 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.91 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.91 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.91 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.91 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.91 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.91 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.91 X7)
% 16.01/2.91 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6 @ X7 @ X8)
% 16.01/2.91 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6 @ X7 @ X8 @ X9)
% 16.01/2.91 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 16.01/2.91 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 16.01/2.91 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12))),
% 16.01/2.91 inference('cnf', [status(esa)], [zf_stmt_36])).
% 16.01/2.91 thf(zip_derived_cl1038, plain,
% 16.01/2.91 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 16.01/2.91 (~ (ssNder1_1r1 @ X0)
% 16.01/2.91 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.91 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.91 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.91 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.91 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.91 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.91 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.91 X7)
% 16.01/2.91 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6 @ X7 @ X8)
% 16.01/2.91 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6 @ X7 @ X8 @ X9)
% 16.01/2.91 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 16.01/2.91 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 16.01/2.91 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.91 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 16.01/2.91 | (ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.91 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ skc18)))
% 16.01/2.91 <= ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i,
% 16.01/2.91 X13 : $i]:
% 16.01/2.91 (~ (ssNder1_1r1 @ X0)
% 16.01/2.91 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.91 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.91 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.91 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.91 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.91 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6)
% 16.01/2.91 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7)
% 16.01/2.91 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8)
% 16.01/2.91 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.91 X4 @ X5 @ X6 @ X7 @ X8 @ X9)
% 16.01/2.91 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.91 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 16.01/2.91 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.91 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 16.01/2.91 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 16.01/2.91 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 16.01/2.91 | (ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 16.01/2.91 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @
% 16.01/2.91 X13 @ skc18))))),
% 16.01/2.91 inference('split', [status(esa)], [zip_derived_cl248])).
% 16.01/2.91 thf(zip_derived_cl1634, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl544, '2'])).
% 16.01/2.91 thf(zip_derived_cl1646, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl1645, '4'])).
% 16.01/2.91 thf(zip_derived_cl1717, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl1716, '6'])).
% 16.01/2.91 thf(zip_derived_cl1805, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 16.01/2.91 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl1804, '10'])).
% 16.01/2.91 thf(zip_derived_cl1967, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 16.01/2.91 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl1966, '12'])).
% 16.01/2.91 thf(zip_derived_cl2176, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 16.01/2.91 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl2175, '14'])).
% 16.01/2.91 thf(zip_derived_cl2322, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 16.01/2.91 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl2321, '16'])).
% 16.01/2.91 thf(zip_derived_cl2380, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 16.01/2.91 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl2379, '18'])).
% 16.01/2.91 thf(zip_derived_cl2438, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i, X8 : $i]:
% 16.01/2.91 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.91 X7 @ X8)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl2437, '20'])).
% 16.01/2.91 thf(zip_derived_cl2499, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i, X8 : $i, X9 : $i]:
% 16.01/2.91 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.91 X7 @ X8 @ X9)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl2498, '34'])).
% 16.01/2.91 thf(zip_derived_cl2567, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 16.01/2.91 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6 @ X7 @ X8 @ X9 @ X10)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl2566, '38'])).
% 16.01/2.91 thf(zip_derived_cl2629, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 16.01/2.91 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl2628, '42'])).
% 16.01/2.91 thf(zip_derived_cl2715, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 16.01/2.91 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl2714, '44'])).
% 16.01/2.91 thf(zip_derived_cl2800, plain,
% 16.01/2.91 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 16.01/2.91 (ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ skc18))
% 16.01/2.91 <= ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i,
% 16.01/2.91 X13 : $i]:
% 16.01/2.91 (~ (ssNder1_1r1 @ X0)
% 16.01/2.91 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.91 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.91 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.91 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.91 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.91 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6)
% 16.01/2.91 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7)
% 16.01/2.91 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8)
% 16.01/2.91 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.91 X4 @ X5 @ X6 @ X7 @ X8 @ X9)
% 16.01/2.91 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.91 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 16.01/2.91 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.91 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 16.01/2.91 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 16.01/2.91 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 16.01/2.91 | (ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 16.01/2.91 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @
% 16.01/2.91 X13 @ skc18))))),
% 16.01/2.91 inference('demod', [status(thm)],
% 16.01/2.91 [zip_derived_cl1038, zip_derived_cl1634, zip_derived_cl1646,
% 16.01/2.91 zip_derived_cl1717, zip_derived_cl1805, zip_derived_cl1967,
% 16.01/2.91 zip_derived_cl2176, zip_derived_cl2322, zip_derived_cl2380,
% 16.01/2.91 zip_derived_cl2438, zip_derived_cl2499, zip_derived_cl2567,
% 16.01/2.91 zip_derived_cl2629, zip_derived_cl2715])).
% 16.01/2.91 thf('71', plain,
% 16.01/2.91 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 16.01/2.91 (~ (ssNder1_1r1 @ X0)
% 16.01/2.91 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.91 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.91 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.91 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.91 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.91 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.91 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.91 X7)
% 16.01/2.91 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6 @ X7 @ X8)
% 16.01/2.91 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6 @ X7 @ X8 @ X9)
% 16.01/2.91 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 16.01/2.91 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 16.01/2.91 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.91 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 16.01/2.91 | (ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.91 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ skc18))) |
% 16.01/2.91 ~ ( (ssNder1_0))),
% 16.01/2.91 inference('split', [status(esa)], [zip_derived_cl248])).
% 16.01/2.91 thf('72', plain,
% 16.01/2.91 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 16.01/2.91 (~ (ssNder1_1r1 @ X0)
% 16.01/2.91 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.91 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.91 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.91 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.91 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.91 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.91 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.91 X7)
% 16.01/2.91 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6 @ X7 @ X8)
% 16.01/2.91 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6 @ X7 @ X8 @ X9)
% 16.01/2.91 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 16.01/2.91 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 16.01/2.91 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.91 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 16.01/2.91 | (ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.91 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ skc18)))),
% 16.01/2.91 inference('sat_resolution*', [status(thm)], ['0', '71'])).
% 16.01/2.91 thf(zip_derived_cl2801, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 16.01/2.91 (ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ skc18)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl2800, '72'])).
% 16.01/2.91 thf(clause373, conjecture,
% 16.01/2.91 (~( ( ssPv17_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.91 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) |
% 16.01/2.91 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 16.01/2.91 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 16.01/2.91 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 16.01/2.91 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 16.01/2.91 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 16.01/2.91 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 16.01/2.91 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 16.01/2.91 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 16.01/2.91 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 16.01/2.91 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.91 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 16.01/2.91 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.91 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 16.01/2.91 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.91 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 16.01/2.91 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.91 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 16.01/2.91 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.91 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 16.01/2.91 ( ~( ssPv11_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.91 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 16.01/2.91 ( ~( ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.91 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 16.01/2.91 ( ~( ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.91 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) ))).
% 16.01/2.91 thf(zf_stmt_37, negated_conjecture,
% 16.01/2.91 (( ssPv17_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.91 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) |
% 16.01/2.91 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 16.01/2.91 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 16.01/2.91 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 16.01/2.91 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 16.01/2.91 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 16.01/2.91 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 16.01/2.91 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 16.01/2.91 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 16.01/2.91 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.91 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 16.01/2.91 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.91 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 16.01/2.91 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.91 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 16.01/2.91 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.91 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 16.01/2.91 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.91 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 16.01/2.91 ( ~( ssPv11_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.91 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 16.01/2.91 ( ~( ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.91 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 16.01/2.91 ( ~( ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.91 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) )),
% 16.01/2.91 inference('cnf.neg', [status(esa)], [clause373])).
% 16.01/2.91 thf(zip_derived_cl372, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 16.01/2.91 X14 : $i]:
% 16.01/2.91 ( (ssPv17_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 16.01/2.91 | ~ (ssNder1_0)
% 16.01/2.91 | ~ (ssNder1_1r1 @ X0)
% 16.01/2.91 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.91 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.91 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.91 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.91 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.91 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.91 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.91 X7)
% 16.01/2.91 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6 @ X7 @ X8)
% 16.01/2.91 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6 @ X7 @ X8 @ X9)
% 16.01/2.91 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 16.01/2.91 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 16.01/2.91 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 16.01/2.91 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.91 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 16.01/2.91 | ~ (ssPv11_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.91 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 16.01/2.91 | ~ (ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.91 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 16.01/2.91 | ~ (ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.91 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14))),
% 16.01/2.91 inference('cnf', [status(esa)], [zf_stmt_37])).
% 16.01/2.91 thf(zip_derived_cl1286, plain,
% 16.01/2.91 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 16.01/2.91 X14 : $i]:
% 16.01/2.91 (~ (ssNder1_1r1 @ X0)
% 16.01/2.91 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.91 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.91 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.91 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.91 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.91 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.91 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.91 X7)
% 16.01/2.91 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6 @ X7 @ X8)
% 16.01/2.91 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6 @ X7 @ X8 @ X9)
% 16.01/2.91 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 16.01/2.91 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 16.01/2.91 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.91 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 16.01/2.91 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.91 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 16.01/2.91 | ~ (ssPv11_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.91 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 16.01/2.91 | ~ (ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.91 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 16.01/2.91 | (ssPv17_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.91 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 16.01/2.91 | ~ (ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.91 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)))
% 16.01/2.91 <= ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i,
% 16.01/2.91 X13 : $i, X14 : $i]:
% 16.01/2.91 (~ (ssNder1_1r1 @ X0)
% 16.01/2.91 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.91 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.91 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.91 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.91 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.91 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6)
% 16.01/2.91 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7)
% 16.01/2.91 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8)
% 16.01/2.91 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.91 X4 @ X5 @ X6 @ X7 @ X8 @ X9)
% 16.01/2.91 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.91 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 16.01/2.91 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.91 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 16.01/2.91 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 16.01/2.91 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 16.01/2.91 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 16.01/2.91 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 16.01/2.91 | ~ (ssPv11_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 16.01/2.91 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @
% 16.01/2.91 X13 @ X14)
% 16.01/2.91 | ~ (ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 16.01/2.91 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @
% 16.01/2.91 X13 @ X14)
% 16.01/2.91 | (ssPv17_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 16.01/2.91 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @
% 16.01/2.91 X13 @ X14)
% 16.01/2.91 | ~ (ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 16.01/2.91 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @
% 16.01/2.91 X13 @ X14))))),
% 16.01/2.91 inference('split', [status(esa)], [zip_derived_cl372])).
% 16.01/2.91 thf(zip_derived_cl1634, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl544, '2'])).
% 16.01/2.91 thf(zip_derived_cl1646, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl1645, '4'])).
% 16.01/2.91 thf(zip_derived_cl1717, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl1716, '6'])).
% 16.01/2.91 thf(zip_derived_cl1805, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 16.01/2.91 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl1804, '10'])).
% 16.01/2.91 thf(zip_derived_cl1967, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 16.01/2.91 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl1966, '12'])).
% 16.01/2.91 thf(zip_derived_cl2176, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 16.01/2.91 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl2175, '14'])).
% 16.01/2.91 thf(zip_derived_cl2322, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 16.01/2.91 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl2321, '16'])).
% 16.01/2.91 thf(zip_derived_cl2380, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 16.01/2.91 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl2379, '18'])).
% 16.01/2.91 thf(zip_derived_cl2438, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i, X8 : $i]:
% 16.01/2.91 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.91 X7 @ X8)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl2437, '20'])).
% 16.01/2.91 thf(zip_derived_cl2499, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i, X8 : $i, X9 : $i]:
% 16.01/2.91 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.91 X7 @ X8 @ X9)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl2498, '34'])).
% 16.01/2.91 thf(zip_derived_cl2567, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 16.01/2.91 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6 @ X7 @ X8 @ X9 @ X10)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl2566, '38'])).
% 16.01/2.91 thf(zip_derived_cl2629, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 16.01/2.91 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl2628, '42'])).
% 16.01/2.91 thf(zip_derived_cl2715, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 16.01/2.91 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl2714, '44'])).
% 16.01/2.91 thf(clause247, conjecture,
% 16.01/2.91 (~( ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.91 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) |
% 16.01/2.91 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 16.01/2.91 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 16.01/2.91 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 16.01/2.91 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 16.01/2.91 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 16.01/2.91 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 16.01/2.91 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 16.01/2.91 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 16.01/2.91 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 16.01/2.91 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.91 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 16.01/2.91 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.91 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 16.01/2.91 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.91 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 16.01/2.91 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.91 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) ))).
% 16.01/2.91 thf(zf_stmt_38, negated_conjecture,
% 16.01/2.91 (( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.91 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) |
% 16.01/2.91 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 16.01/2.91 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 16.01/2.91 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 16.01/2.91 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 16.01/2.91 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 16.01/2.91 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 16.01/2.91 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 16.01/2.91 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 16.01/2.91 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.91 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 16.01/2.91 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.91 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 16.01/2.91 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.91 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 16.01/2.91 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.91 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) )),
% 16.01/2.91 inference('cnf.neg', [status(esa)], [clause247])).
% 16.01/2.91 thf(zip_derived_cl246, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 16.01/2.91 ( (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 16.01/2.91 | ~ (ssNder1_0)
% 16.01/2.91 | ~ (ssNder1_1r1 @ X0)
% 16.01/2.91 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.91 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.91 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.91 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.91 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.91 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.91 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.91 X7)
% 16.01/2.91 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6 @ X7 @ X8)
% 16.01/2.91 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6 @ X7 @ X8 @ X9)
% 16.01/2.91 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 16.01/2.91 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 16.01/2.91 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12))),
% 16.01/2.91 inference('cnf', [status(esa)], [zf_stmt_38])).
% 16.01/2.91 thf(zip_derived_cl1034, plain,
% 16.01/2.91 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 16.01/2.91 (~ (ssNder1_1r1 @ X0)
% 16.01/2.91 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.91 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.91 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.91 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.91 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.91 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.91 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.91 X7)
% 16.01/2.91 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6 @ X7 @ X8)
% 16.01/2.91 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6 @ X7 @ X8 @ X9)
% 16.01/2.91 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 16.01/2.91 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 16.01/2.91 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.91 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 16.01/2.91 | (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.91 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)))
% 16.01/2.91 <= ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i,
% 16.01/2.91 X13 : $i]:
% 16.01/2.91 (~ (ssNder1_1r1 @ X0)
% 16.01/2.91 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.91 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.91 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.91 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.91 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.91 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6)
% 16.01/2.91 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7)
% 16.01/2.91 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8)
% 16.01/2.91 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.91 X4 @ X5 @ X6 @ X7 @ X8 @ X9)
% 16.01/2.91 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.91 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 16.01/2.91 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.91 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 16.01/2.91 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 16.01/2.91 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 16.01/2.91 | (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 16.01/2.91 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13))))),
% 16.01/2.91 inference('split', [status(esa)], [zip_derived_cl246])).
% 16.01/2.91 thf(zip_derived_cl1634, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl544, '2'])).
% 16.01/2.91 thf(zip_derived_cl1646, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl1645, '4'])).
% 16.01/2.91 thf(zip_derived_cl1717, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl1716, '6'])).
% 16.01/2.91 thf(zip_derived_cl1805, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 16.01/2.91 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl1804, '10'])).
% 16.01/2.91 thf(zip_derived_cl1967, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 16.01/2.91 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl1966, '12'])).
% 16.01/2.91 thf(zip_derived_cl2176, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 16.01/2.91 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl2175, '14'])).
% 16.01/2.91 thf(zip_derived_cl2322, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 16.01/2.91 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl2321, '16'])).
% 16.01/2.91 thf(zip_derived_cl2380, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 16.01/2.91 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl2379, '18'])).
% 16.01/2.91 thf(zip_derived_cl2438, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i, X8 : $i]:
% 16.01/2.91 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.91 X7 @ X8)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl2437, '20'])).
% 16.01/2.91 thf(zip_derived_cl2499, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i, X8 : $i, X9 : $i]:
% 16.01/2.91 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.91 X7 @ X8 @ X9)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl2498, '34'])).
% 16.01/2.91 thf(zip_derived_cl2567, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 16.01/2.91 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6 @ X7 @ X8 @ X9 @ X10)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl2566, '38'])).
% 16.01/2.91 thf(zip_derived_cl2629, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 16.01/2.91 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl2628, '42'])).
% 16.01/2.91 thf(zip_derived_cl2715, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 16.01/2.91 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl2714, '44'])).
% 16.01/2.91 thf(zip_derived_cl2794, plain,
% 16.01/2.91 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 16.01/2.91 (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13))
% 16.01/2.91 <= ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i,
% 16.01/2.91 X13 : $i]:
% 16.01/2.91 (~ (ssNder1_1r1 @ X0)
% 16.01/2.91 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.91 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.91 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.91 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.91 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.91 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6)
% 16.01/2.91 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7)
% 16.01/2.91 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8)
% 16.01/2.91 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.91 X4 @ X5 @ X6 @ X7 @ X8 @ X9)
% 16.01/2.91 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.91 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 16.01/2.91 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.91 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 16.01/2.91 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 16.01/2.91 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 16.01/2.91 | (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 16.01/2.91 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13))))),
% 16.01/2.91 inference('demod', [status(thm)],
% 16.01/2.91 [zip_derived_cl1034, zip_derived_cl1634, zip_derived_cl1646,
% 16.01/2.91 zip_derived_cl1717, zip_derived_cl1805, zip_derived_cl1967,
% 16.01/2.91 zip_derived_cl2176, zip_derived_cl2322, zip_derived_cl2380,
% 16.01/2.91 zip_derived_cl2438, zip_derived_cl2499, zip_derived_cl2567,
% 16.01/2.91 zip_derived_cl2629, zip_derived_cl2715])).
% 16.01/2.91 thf('73', plain,
% 16.01/2.91 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 16.01/2.91 (~ (ssNder1_1r1 @ X0)
% 16.01/2.91 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.91 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.91 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.91 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.91 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.91 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.91 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.91 X7)
% 16.01/2.91 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6 @ X7 @ X8)
% 16.01/2.91 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6 @ X7 @ X8 @ X9)
% 16.01/2.91 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 16.01/2.91 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 16.01/2.91 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.91 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 16.01/2.91 | (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.91 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13))) |
% 16.01/2.91 ~ ( (ssNder1_0))),
% 16.01/2.91 inference('split', [status(esa)], [zip_derived_cl246])).
% 16.01/2.91 thf('74', plain,
% 16.01/2.91 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 16.01/2.91 (~ (ssNder1_1r1 @ X0)
% 16.01/2.91 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.91 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.91 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.91 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.91 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.91 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.91 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.91 X7)
% 16.01/2.91 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6 @ X7 @ X8)
% 16.01/2.91 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6 @ X7 @ X8 @ X9)
% 16.01/2.91 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 16.01/2.91 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 16.01/2.91 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.91 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 16.01/2.91 | (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.91 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)))),
% 16.01/2.91 inference('sat_resolution*', [status(thm)], ['0', '73'])).
% 16.01/2.91 thf(zip_derived_cl2795, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 16.01/2.91 (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl2794, '74'])).
% 16.01/2.91 thf(zip_derived_cl3107, plain,
% 16.01/2.91 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 16.01/2.91 X14 : $i]:
% 16.01/2.91 (~ (ssPv11_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.91 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 16.01/2.91 | ~ (ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.91 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 16.01/2.91 | (ssPv17_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.91 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 16.01/2.91 | ~ (ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.91 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)))
% 16.01/2.91 <= ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i,
% 16.01/2.91 X13 : $i, X14 : $i]:
% 16.01/2.91 (~ (ssNder1_1r1 @ X0)
% 16.01/2.91 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.91 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.91 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.91 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.91 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.91 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6)
% 16.01/2.91 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7)
% 16.01/2.91 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8)
% 16.01/2.91 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.91 X4 @ X5 @ X6 @ X7 @ X8 @ X9)
% 16.01/2.91 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.91 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 16.01/2.91 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.91 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 16.01/2.91 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 16.01/2.91 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 16.01/2.91 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 16.01/2.91 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 16.01/2.91 | ~ (ssPv11_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 16.01/2.91 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @
% 16.01/2.91 X13 @ X14)
% 16.01/2.91 | ~ (ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 16.01/2.91 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @
% 16.01/2.91 X13 @ X14)
% 16.01/2.91 | (ssPv17_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 16.01/2.91 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @
% 16.01/2.91 X13 @ X14)
% 16.01/2.91 | ~ (ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 16.01/2.91 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @
% 16.01/2.91 X13 @ X14))))),
% 16.01/2.91 inference('demod', [status(thm)],
% 16.01/2.91 [zip_derived_cl1286, zip_derived_cl1634, zip_derived_cl1646,
% 16.01/2.91 zip_derived_cl1717, zip_derived_cl1805, zip_derived_cl1967,
% 16.01/2.91 zip_derived_cl2176, zip_derived_cl2322, zip_derived_cl2380,
% 16.01/2.91 zip_derived_cl2438, zip_derived_cl2499, zip_derived_cl2567,
% 16.01/2.91 zip_derived_cl2629, zip_derived_cl2715, zip_derived_cl2795])).
% 16.01/2.91 thf('75', plain,
% 16.01/2.91 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 16.01/2.91 X14 : $i]:
% 16.01/2.91 (~ (ssNder1_1r1 @ X0)
% 16.01/2.91 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.91 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.91 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.91 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.91 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.91 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.91 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.91 X7)
% 16.01/2.91 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6 @ X7 @ X8)
% 16.01/2.91 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6 @ X7 @ X8 @ X9)
% 16.01/2.91 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 16.01/2.91 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 16.01/2.91 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.91 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 16.01/2.91 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.91 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 16.01/2.91 | ~ (ssPv11_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.91 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 16.01/2.91 | ~ (ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.91 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 16.01/2.91 | (ssPv17_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.91 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 16.01/2.91 | ~ (ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.91 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14))) |
% 16.01/2.91 ~ ( (ssNder1_0))),
% 16.01/2.91 inference('split', [status(esa)], [zip_derived_cl372])).
% 16.01/2.91 thf('76', plain,
% 16.01/2.91 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 16.01/2.91 X14 : $i]:
% 16.01/2.91 (~ (ssNder1_1r1 @ X0)
% 16.01/2.91 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.91 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.91 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.91 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.91 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.91 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.91 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.91 X7)
% 16.01/2.91 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6 @ X7 @ X8)
% 16.01/2.91 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6 @ X7 @ X8 @ X9)
% 16.01/2.91 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 16.01/2.91 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 16.01/2.91 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.91 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 16.01/2.91 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.91 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 16.01/2.91 | ~ (ssPv11_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.91 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 16.01/2.91 | ~ (ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.91 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 16.01/2.91 | (ssPv17_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.91 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 16.01/2.91 | ~ (ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.91 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)))),
% 16.01/2.91 inference('sat_resolution*', [status(thm)], ['0', '75'])).
% 16.01/2.91 thf(zip_derived_cl3108, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 16.01/2.91 X14 : $i]:
% 16.01/2.91 (~ (ssPv11_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.91 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 16.01/2.91 | ~ (ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.91 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 16.01/2.91 | (ssPv17_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.91 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 16.01/2.91 | ~ (ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.91 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14))),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl3107, '76'])).
% 16.01/2.91 thf(clause315, conjecture,
% 16.01/2.91 (~( ( ssPv11_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.91 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) |
% 16.01/2.91 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 16.01/2.91 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 16.01/2.91 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 16.01/2.91 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 16.01/2.91 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 16.01/2.91 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 16.01/2.91 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 16.01/2.91 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 16.01/2.91 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 16.01/2.91 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.91 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 16.01/2.91 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.91 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 16.01/2.91 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.91 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 16.01/2.91 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.91 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 16.01/2.91 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.91 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 16.01/2.91 ( ~( ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.91 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) ))).
% 16.01/2.91 thf(zf_stmt_39, negated_conjecture,
% 16.01/2.91 (( ssPv11_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.91 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) |
% 16.01/2.91 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 16.01/2.91 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 16.01/2.91 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 16.01/2.91 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 16.01/2.91 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 16.01/2.91 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 16.01/2.91 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 16.01/2.91 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 16.01/2.91 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.91 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 16.01/2.91 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.91 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 16.01/2.91 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.91 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 16.01/2.91 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.91 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 16.01/2.91 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.91 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 16.01/2.91 ( ~( ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.91 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) )),
% 16.01/2.91 inference('cnf.neg', [status(esa)], [clause315])).
% 16.01/2.91 thf(zip_derived_cl314, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 16.01/2.91 X14 : $i]:
% 16.01/2.91 ( (ssPv11_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 16.01/2.91 | ~ (ssNder1_0)
% 16.01/2.91 | ~ (ssNder1_1r1 @ X0)
% 16.01/2.91 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.91 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.91 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.91 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.91 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.91 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.91 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.91 X7)
% 16.01/2.91 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6 @ X7 @ X8)
% 16.01/2.91 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6 @ X7 @ X8 @ X9)
% 16.01/2.91 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 16.01/2.91 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 16.01/2.91 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 16.01/2.91 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.91 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 16.01/2.91 | ~ (ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.91 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13))),
% 16.01/2.91 inference('cnf', [status(esa)], [zf_stmt_39])).
% 16.01/2.91 thf(zip_derived_cl1170, plain,
% 16.01/2.91 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 16.01/2.91 X14 : $i]:
% 16.01/2.91 (~ (ssNder1_1r1 @ X0)
% 16.01/2.91 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.91 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.91 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.91 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.91 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.91 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.91 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.91 X7)
% 16.01/2.91 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6 @ X7 @ X8)
% 16.01/2.91 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6 @ X7 @ X8 @ X9)
% 16.01/2.91 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 16.01/2.91 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 16.01/2.91 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.91 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 16.01/2.91 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.91 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 16.01/2.91 | ~ (ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.91 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 16.01/2.91 | (ssPv11_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.91 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)))
% 16.01/2.91 <= ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i,
% 16.01/2.91 X13 : $i, X14 : $i]:
% 16.01/2.91 (~ (ssNder1_1r1 @ X0)
% 16.01/2.91 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.91 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.91 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.91 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.91 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.91 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6)
% 16.01/2.91 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7)
% 16.01/2.91 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8)
% 16.01/2.91 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.91 X4 @ X5 @ X6 @ X7 @ X8 @ X9)
% 16.01/2.91 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.91 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 16.01/2.91 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.91 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 16.01/2.91 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 16.01/2.91 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 16.01/2.91 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 16.01/2.91 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 16.01/2.91 | ~ (ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 16.01/2.91 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 16.01/2.91 | (ssPv11_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 16.01/2.91 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @
% 16.01/2.91 X13 @ X14))))),
% 16.01/2.91 inference('split', [status(esa)], [zip_derived_cl314])).
% 16.01/2.91 thf(zip_derived_cl1634, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl544, '2'])).
% 16.01/2.91 thf(zip_derived_cl1646, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl1645, '4'])).
% 16.01/2.91 thf(zip_derived_cl1717, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl1716, '6'])).
% 16.01/2.91 thf(zip_derived_cl1805, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 16.01/2.91 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl1804, '10'])).
% 16.01/2.91 thf(zip_derived_cl1967, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 16.01/2.91 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl1966, '12'])).
% 16.01/2.91 thf(zip_derived_cl2176, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 16.01/2.91 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl2175, '14'])).
% 16.01/2.91 thf(zip_derived_cl2322, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 16.01/2.91 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl2321, '16'])).
% 16.01/2.91 thf(zip_derived_cl2380, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 16.01/2.91 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl2379, '18'])).
% 16.01/2.91 thf(zip_derived_cl2438, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i, X8 : $i]:
% 16.01/2.91 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.91 X7 @ X8)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl2437, '20'])).
% 16.01/2.91 thf(zip_derived_cl2499, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i, X8 : $i, X9 : $i]:
% 16.01/2.91 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.91 X7 @ X8 @ X9)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl2498, '34'])).
% 16.01/2.91 thf(zip_derived_cl2567, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 16.01/2.91 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6 @ X7 @ X8 @ X9 @ X10)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl2566, '38'])).
% 16.01/2.91 thf(zip_derived_cl2629, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 16.01/2.91 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl2628, '42'])).
% 16.01/2.91 thf(zip_derived_cl2715, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 16.01/2.91 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl2714, '44'])).
% 16.01/2.91 thf(zip_derived_cl2795, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 16.01/2.91 (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl2794, '74'])).
% 16.01/2.91 thf(zip_derived_cl2978, plain,
% 16.01/2.91 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 16.01/2.91 X14 : $i]:
% 16.01/2.91 (~ (ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 16.01/2.91 | (ssPv11_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.91 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)))
% 16.01/2.91 <= ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i,
% 16.01/2.91 X13 : $i, X14 : $i]:
% 16.01/2.91 (~ (ssNder1_1r1 @ X0)
% 16.01/2.91 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.91 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.91 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.91 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.91 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.91 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6)
% 16.01/2.91 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7)
% 16.01/2.91 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8)
% 16.01/2.91 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.91 X4 @ X5 @ X6 @ X7 @ X8 @ X9)
% 16.01/2.91 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.91 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 16.01/2.91 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.91 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 16.01/2.91 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 16.01/2.91 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 16.01/2.91 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 16.01/2.91 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 16.01/2.91 | ~ (ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 16.01/2.91 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 16.01/2.91 | (ssPv11_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 16.01/2.91 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @
% 16.01/2.91 X13 @ X14))))),
% 16.01/2.91 inference('demod', [status(thm)],
% 16.01/2.91 [zip_derived_cl1170, zip_derived_cl1634, zip_derived_cl1646,
% 16.01/2.91 zip_derived_cl1717, zip_derived_cl1805, zip_derived_cl1967,
% 16.01/2.91 zip_derived_cl2176, zip_derived_cl2322, zip_derived_cl2380,
% 16.01/2.91 zip_derived_cl2438, zip_derived_cl2499, zip_derived_cl2567,
% 16.01/2.91 zip_derived_cl2629, zip_derived_cl2715, zip_derived_cl2795])).
% 16.01/2.91 thf('77', plain,
% 16.01/2.91 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 16.01/2.91 X14 : $i]:
% 16.01/2.91 (~ (ssNder1_1r1 @ X0)
% 16.01/2.91 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.91 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.91 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.91 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.91 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.91 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.91 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.91 X7)
% 16.01/2.91 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6 @ X7 @ X8)
% 16.01/2.91 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6 @ X7 @ X8 @ X9)
% 16.01/2.91 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 16.01/2.91 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 16.01/2.91 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.91 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 16.01/2.91 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.91 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 16.01/2.91 | ~ (ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.91 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 16.01/2.91 | (ssPv11_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.91 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14))) |
% 16.01/2.91 ~ ( (ssNder1_0))),
% 16.01/2.91 inference('split', [status(esa)], [zip_derived_cl314])).
% 16.01/2.91 thf('78', plain,
% 16.01/2.91 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 16.01/2.91 X14 : $i]:
% 16.01/2.91 (~ (ssNder1_1r1 @ X0)
% 16.01/2.91 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.91 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.91 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.91 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.91 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.91 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.91 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.91 X7)
% 16.01/2.91 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6 @ X7 @ X8)
% 16.01/2.91 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6 @ X7 @ X8 @ X9)
% 16.01/2.91 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 16.01/2.91 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 16.01/2.91 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.91 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 16.01/2.91 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.91 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 16.01/2.91 | ~ (ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.91 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 16.01/2.91 | (ssPv11_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.91 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)))),
% 16.01/2.91 inference('sat_resolution*', [status(thm)], ['0', '77'])).
% 16.01/2.91 thf(zip_derived_cl2979, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 16.01/2.91 X14 : $i]:
% 16.01/2.91 (~ (ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 16.01/2.91 | (ssPv11_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.91 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14))),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl2978, '78'])).
% 16.01/2.91 thf(zip_derived_cl3109, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 16.01/2.91 X14 : $i]:
% 16.01/2.91 (~ (ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X14 @ X13 @ X12 @ X11 @
% 16.01/2.91 X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 16.01/2.91 | (ssPv17_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X14 @ X13 @ X12 @
% 16.01/2.91 X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 16.01/2.91 | ~ (ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X14 @ X13 @ X12 @
% 16.01/2.91 X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 16.01/2.91 | ~ (ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X14 @ X13 @ X12 @ X11 @
% 16.01/2.91 X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1))),
% 16.01/2.91 inference('s_sup+', [status(thm)],
% 16.01/2.91 [zip_derived_cl3108, zip_derived_cl2979])).
% 16.01/2.91 thf(clause323, conjecture,
% 16.01/2.91 (~( ( ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.91 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) |
% 16.01/2.91 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 16.01/2.91 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 16.01/2.91 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 16.01/2.91 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 16.01/2.91 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 16.01/2.91 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 16.01/2.91 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 16.01/2.91 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 16.01/2.91 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 16.01/2.91 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.91 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 16.01/2.91 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.91 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 16.01/2.91 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.91 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 16.01/2.91 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.91 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 16.01/2.91 ( ~( ssPv17_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.91 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 16.01/2.91 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.91 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) ))).
% 16.01/2.91 thf(zf_stmt_40, negated_conjecture,
% 16.01/2.91 (( ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.91 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) |
% 16.01/2.91 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 16.01/2.91 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 16.01/2.91 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 16.01/2.91 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 16.01/2.91 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 16.01/2.91 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 16.01/2.91 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 16.01/2.91 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 16.01/2.91 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.91 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 16.01/2.91 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.91 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 16.01/2.91 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.91 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 16.01/2.91 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.91 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 16.01/2.91 ( ~( ssPv17_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.91 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 16.01/2.91 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.91 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) )),
% 16.01/2.91 inference('cnf.neg', [status(esa)], [clause323])).
% 16.01/2.91 thf(zip_derived_cl322, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 16.01/2.91 X14 : $i]:
% 16.01/2.91 ( (ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 16.01/2.91 | ~ (ssNder1_0)
% 16.01/2.91 | ~ (ssNder1_1r1 @ X0)
% 16.01/2.91 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.91 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.91 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.91 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.91 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.91 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.91 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.91 X7)
% 16.01/2.91 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6 @ X7 @ X8)
% 16.01/2.91 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6 @ X7 @ X8 @ X9)
% 16.01/2.91 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 16.01/2.91 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 16.01/2.91 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 16.01/2.91 | ~ (ssPv17_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.91 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 16.01/2.91 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.91 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13))),
% 16.01/2.91 inference('cnf', [status(esa)], [zf_stmt_40])).
% 16.01/2.91 thf(zip_derived_cl1186, plain,
% 16.01/2.91 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 16.01/2.91 X14 : $i]:
% 16.01/2.91 (~ (ssNder1_1r1 @ X0)
% 16.01/2.91 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.91 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.91 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.91 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.91 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.91 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.91 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.91 X7)
% 16.01/2.91 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6 @ X7 @ X8)
% 16.01/2.91 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6 @ X7 @ X8 @ X9)
% 16.01/2.91 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 16.01/2.91 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 16.01/2.91 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.91 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 16.01/2.91 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.91 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 16.01/2.91 | (ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.91 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 16.01/2.91 | ~ (ssPv17_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.91 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)))
% 16.01/2.91 <= ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i,
% 16.01/2.91 X13 : $i, X14 : $i]:
% 16.01/2.91 (~ (ssNder1_1r1 @ X0)
% 16.01/2.91 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.91 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.91 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.91 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.91 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.91 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6)
% 16.01/2.91 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7)
% 16.01/2.91 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8)
% 16.01/2.91 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.91 X4 @ X5 @ X6 @ X7 @ X8 @ X9)
% 16.01/2.91 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.91 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 16.01/2.91 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.91 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 16.01/2.91 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 16.01/2.91 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 16.01/2.91 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 16.01/2.91 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 16.01/2.91 | (ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 16.01/2.91 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 16.01/2.91 | ~ (ssPv17_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 16.01/2.91 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @
% 16.01/2.91 X13 @ X14))))),
% 16.01/2.91 inference('split', [status(esa)], [zip_derived_cl322])).
% 16.01/2.91 thf(zip_derived_cl1634, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl544, '2'])).
% 16.01/2.91 thf(zip_derived_cl1646, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl1645, '4'])).
% 16.01/2.91 thf(zip_derived_cl1717, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl1716, '6'])).
% 16.01/2.91 thf(zip_derived_cl1805, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 16.01/2.91 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl1804, '10'])).
% 16.01/2.91 thf(zip_derived_cl1967, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 16.01/2.91 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl1966, '12'])).
% 16.01/2.91 thf(zip_derived_cl2176, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 16.01/2.91 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl2175, '14'])).
% 16.01/2.91 thf(zip_derived_cl2322, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 16.01/2.91 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl2321, '16'])).
% 16.01/2.91 thf(zip_derived_cl2380, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 16.01/2.91 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl2379, '18'])).
% 16.01/2.91 thf(zip_derived_cl2438, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i, X8 : $i]:
% 16.01/2.91 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.91 X7 @ X8)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl2437, '20'])).
% 16.01/2.91 thf(zip_derived_cl2499, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i, X8 : $i, X9 : $i]:
% 16.01/2.91 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.91 X7 @ X8 @ X9)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl2498, '34'])).
% 16.01/2.91 thf(zip_derived_cl2567, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 16.01/2.91 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6 @ X7 @ X8 @ X9 @ X10)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl2566, '38'])).
% 16.01/2.91 thf(zip_derived_cl2629, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 16.01/2.91 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl2628, '42'])).
% 16.01/2.91 thf(zip_derived_cl2715, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 16.01/2.91 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl2714, '44'])).
% 16.01/2.91 thf(zip_derived_cl2795, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 16.01/2.91 (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl2794, '74'])).
% 16.01/2.91 thf(zip_derived_cl2927, plain,
% 16.01/2.91 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 16.01/2.91 X14 : $i]:
% 16.01/2.91 ( (ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 16.01/2.91 | ~ (ssPv17_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.91 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)))
% 16.01/2.91 <= ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i,
% 16.01/2.91 X13 : $i, X14 : $i]:
% 16.01/2.91 (~ (ssNder1_1r1 @ X0)
% 16.01/2.91 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.91 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.91 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.91 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.91 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.91 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6)
% 16.01/2.91 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7)
% 16.01/2.91 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8)
% 16.01/2.91 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.91 X4 @ X5 @ X6 @ X7 @ X8 @ X9)
% 16.01/2.91 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.91 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 16.01/2.91 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.91 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 16.01/2.91 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 16.01/2.91 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 16.01/2.91 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 16.01/2.91 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 16.01/2.91 | (ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 16.01/2.91 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 16.01/2.91 | ~ (ssPv17_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 16.01/2.91 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @
% 16.01/2.91 X13 @ X14))))),
% 16.01/2.91 inference('demod', [status(thm)],
% 16.01/2.91 [zip_derived_cl1186, zip_derived_cl1634, zip_derived_cl1646,
% 16.01/2.91 zip_derived_cl1717, zip_derived_cl1805, zip_derived_cl1967,
% 16.01/2.91 zip_derived_cl2176, zip_derived_cl2322, zip_derived_cl2380,
% 16.01/2.91 zip_derived_cl2438, zip_derived_cl2499, zip_derived_cl2567,
% 16.01/2.91 zip_derived_cl2629, zip_derived_cl2715, zip_derived_cl2795])).
% 16.01/2.91 thf('79', plain,
% 16.01/2.91 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 16.01/2.91 X14 : $i]:
% 16.01/2.91 (~ (ssNder1_1r1 @ X0)
% 16.01/2.91 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.91 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.91 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.91 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.91 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.91 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.91 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.91 X7)
% 16.01/2.91 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6 @ X7 @ X8)
% 16.01/2.91 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6 @ X7 @ X8 @ X9)
% 16.01/2.91 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 16.01/2.91 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 16.01/2.91 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.91 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 16.01/2.91 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.91 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 16.01/2.91 | (ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.91 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 16.01/2.91 | ~ (ssPv17_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.91 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14))) |
% 16.01/2.91 ~ ( (ssNder1_0))),
% 16.01/2.91 inference('split', [status(esa)], [zip_derived_cl322])).
% 16.01/2.91 thf('80', plain,
% 16.01/2.91 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 16.01/2.91 X14 : $i]:
% 16.01/2.91 (~ (ssNder1_1r1 @ X0)
% 16.01/2.91 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.91 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.91 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.91 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.91 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.91 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.91 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.91 X7)
% 16.01/2.91 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6 @ X7 @ X8)
% 16.01/2.91 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6 @ X7 @ X8 @ X9)
% 16.01/2.91 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 16.01/2.91 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 16.01/2.91 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.91 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 16.01/2.91 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.91 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 16.01/2.91 | (ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.91 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 16.01/2.91 | ~ (ssPv17_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.91 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)))),
% 16.01/2.91 inference('sat_resolution*', [status(thm)], ['0', '79'])).
% 16.01/2.91 thf(zip_derived_cl2928, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 16.01/2.91 X14 : $i]:
% 16.01/2.91 ( (ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 16.01/2.91 | ~ (ssPv17_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.91 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14))),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl2927, '80'])).
% 16.01/2.91 thf(zip_derived_cl3661, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 16.01/2.91 X14 : $i]:
% 16.01/2.91 (~ (ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X14 @ X13 @ X12 @ X11 @
% 16.01/2.91 X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1)
% 16.01/2.91 | ~ (ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X14 @ X13 @ X12 @
% 16.01/2.91 X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 16.01/2.91 | ~ (ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X14 @ X13 @ X12 @
% 16.01/2.91 X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 16.01/2.91 | (ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X14 @ X13 @ X12 @ X11 @
% 16.01/2.91 X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1))),
% 16.01/2.91 inference('s_sup-', [status(thm)],
% 16.01/2.91 [zip_derived_cl3109, zip_derived_cl2928])).
% 16.01/2.91 thf(clause319, conjecture,
% 16.01/2.91 (~( ( ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.91 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) |
% 16.01/2.91 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 16.01/2.91 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 16.01/2.91 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 16.01/2.91 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 16.01/2.91 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 16.01/2.91 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 16.01/2.91 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 16.01/2.91 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 16.01/2.91 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 16.01/2.91 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.91 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 16.01/2.91 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.91 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 16.01/2.91 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.91 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 16.01/2.91 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.91 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 16.01/2.91 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.91 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 16.01/2.91 ( ~( ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.91 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) ))).
% 16.01/2.91 thf(zf_stmt_41, negated_conjecture,
% 16.01/2.91 (( ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.91 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) |
% 16.01/2.91 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 16.01/2.91 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 16.01/2.91 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 16.01/2.91 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 16.01/2.91 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 16.01/2.91 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 16.01/2.91 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 16.01/2.91 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 16.01/2.91 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.91 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 16.01/2.91 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.91 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 16.01/2.91 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.91 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 16.01/2.91 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.91 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 16.01/2.91 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.91 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 16.01/2.91 ( ~( ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.91 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) )),
% 16.01/2.91 inference('cnf.neg', [status(esa)], [clause319])).
% 16.01/2.91 thf(zip_derived_cl318, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 16.01/2.91 X14 : $i]:
% 16.01/2.91 ( (ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 16.01/2.91 | ~ (ssNder1_0)
% 16.01/2.91 | ~ (ssNder1_1r1 @ X0)
% 16.01/2.91 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.91 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.91 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.91 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.91 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.91 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.91 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.91 X7)
% 16.01/2.91 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6 @ X7 @ X8)
% 16.01/2.91 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6 @ X7 @ X8 @ X9)
% 16.01/2.91 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 16.01/2.91 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 16.01/2.91 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 16.01/2.91 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.91 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 16.01/2.91 | ~ (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13))),
% 16.01/2.91 inference('cnf', [status(esa)], [zf_stmt_41])).
% 16.01/2.91 thf(zip_derived_cl1178, plain,
% 16.01/2.91 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 16.01/2.91 X14 : $i]:
% 16.01/2.91 (~ (ssNder1_1r1 @ X0)
% 16.01/2.91 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.91 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.91 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.91 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.91 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.91 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.91 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.91 X7)
% 16.01/2.91 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6 @ X7 @ X8)
% 16.01/2.91 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6 @ X7 @ X8 @ X9)
% 16.01/2.91 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 16.01/2.91 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 16.01/2.91 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.91 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 16.01/2.91 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.91 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 16.01/2.91 | ~ (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.91 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 16.01/2.91 | (ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.91 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)))
% 16.01/2.91 <= ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i,
% 16.01/2.91 X13 : $i, X14 : $i]:
% 16.01/2.91 (~ (ssNder1_1r1 @ X0)
% 16.01/2.91 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.91 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.91 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.91 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.91 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.91 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6)
% 16.01/2.91 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7)
% 16.01/2.91 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8)
% 16.01/2.91 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.91 X4 @ X5 @ X6 @ X7 @ X8 @ X9)
% 16.01/2.91 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.91 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 16.01/2.91 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.91 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 16.01/2.91 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 16.01/2.91 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 16.01/2.91 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 16.01/2.91 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 16.01/2.91 | ~ (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 16.01/2.91 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 16.01/2.91 | (ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 16.01/2.91 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @
% 16.01/2.91 X13 @ X14))))),
% 16.01/2.91 inference('split', [status(esa)], [zip_derived_cl318])).
% 16.01/2.91 thf(zip_derived_cl1634, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl544, '2'])).
% 16.01/2.91 thf(zip_derived_cl1646, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl1645, '4'])).
% 16.01/2.91 thf(zip_derived_cl1717, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl1716, '6'])).
% 16.01/2.91 thf(zip_derived_cl1805, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 16.01/2.91 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl1804, '10'])).
% 16.01/2.91 thf(zip_derived_cl1967, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 16.01/2.91 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl1966, '12'])).
% 16.01/2.91 thf(zip_derived_cl2176, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 16.01/2.91 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl2175, '14'])).
% 16.01/2.91 thf(zip_derived_cl2322, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 16.01/2.91 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl2321, '16'])).
% 16.01/2.91 thf(zip_derived_cl2380, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 16.01/2.91 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl2379, '18'])).
% 16.01/2.91 thf(zip_derived_cl2438, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i, X8 : $i]:
% 16.01/2.91 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.91 X7 @ X8)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl2437, '20'])).
% 16.01/2.91 thf(zip_derived_cl2499, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i, X8 : $i, X9 : $i]:
% 16.01/2.91 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.91 X7 @ X8 @ X9)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl2498, '34'])).
% 16.01/2.91 thf(zip_derived_cl2567, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 16.01/2.91 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6 @ X7 @ X8 @ X9 @ X10)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl2566, '38'])).
% 16.01/2.91 thf(zip_derived_cl2629, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 16.01/2.91 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl2628, '42'])).
% 16.01/2.91 thf(zip_derived_cl2715, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 16.01/2.91 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl2714, '44'])).
% 16.01/2.91 thf(zip_derived_cl2795, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 16.01/2.91 (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl2794, '74'])).
% 16.01/2.91 thf(zip_derived_cl2991, plain,
% 16.01/2.91 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 16.01/2.91 X14 : $i]:
% 16.01/2.91 (~ (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 16.01/2.91 | (ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.91 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)))
% 16.01/2.91 <= ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i,
% 16.01/2.91 X13 : $i, X14 : $i]:
% 16.01/2.91 (~ (ssNder1_1r1 @ X0)
% 16.01/2.91 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.91 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.91 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.91 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.91 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.91 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6)
% 16.01/2.91 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7)
% 16.01/2.91 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8)
% 16.01/2.91 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.91 X4 @ X5 @ X6 @ X7 @ X8 @ X9)
% 16.01/2.91 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.91 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 16.01/2.91 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.91 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 16.01/2.91 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 16.01/2.91 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 16.01/2.91 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 16.01/2.91 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 16.01/2.91 | ~ (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 16.01/2.91 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 16.01/2.91 | (ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 16.01/2.91 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @
% 16.01/2.91 X13 @ X14))))),
% 16.01/2.91 inference('demod', [status(thm)],
% 16.01/2.91 [zip_derived_cl1178, zip_derived_cl1634, zip_derived_cl1646,
% 16.01/2.91 zip_derived_cl1717, zip_derived_cl1805, zip_derived_cl1967,
% 16.01/2.91 zip_derived_cl2176, zip_derived_cl2322, zip_derived_cl2380,
% 16.01/2.91 zip_derived_cl2438, zip_derived_cl2499, zip_derived_cl2567,
% 16.01/2.91 zip_derived_cl2629, zip_derived_cl2715, zip_derived_cl2795])).
% 16.01/2.91 thf('81', plain,
% 16.01/2.91 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 16.01/2.91 X14 : $i]:
% 16.01/2.91 (~ (ssNder1_1r1 @ X0)
% 16.01/2.91 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.91 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.91 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.91 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.91 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.91 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.91 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.91 X7)
% 16.01/2.91 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6 @ X7 @ X8)
% 16.01/2.91 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6 @ X7 @ X8 @ X9)
% 16.01/2.91 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 16.01/2.91 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 16.01/2.91 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.91 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 16.01/2.91 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.91 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 16.01/2.91 | ~ (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.91 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 16.01/2.91 | (ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.91 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14))) |
% 16.01/2.91 ~ ( (ssNder1_0))),
% 16.01/2.91 inference('split', [status(esa)], [zip_derived_cl318])).
% 16.01/2.91 thf('82', plain,
% 16.01/2.91 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 16.01/2.91 X14 : $i]:
% 16.01/2.91 (~ (ssNder1_1r1 @ X0)
% 16.01/2.91 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.91 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.91 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.91 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.91 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.91 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.91 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.91 X7)
% 16.01/2.91 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6 @ X7 @ X8)
% 16.01/2.91 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6 @ X7 @ X8 @ X9)
% 16.01/2.91 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 16.01/2.91 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 16.01/2.91 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.91 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 16.01/2.91 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.91 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 16.01/2.91 | ~ (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.91 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 16.01/2.91 | (ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.91 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)))),
% 16.01/2.91 inference('sat_resolution*', [status(thm)], ['0', '81'])).
% 16.01/2.91 thf(zip_derived_cl2992, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 16.01/2.91 X14 : $i]:
% 16.01/2.91 (~ (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 16.01/2.91 | (ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.91 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14))),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl2991, '82'])).
% 16.01/2.91 thf(zip_derived_cl3662, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 16.01/2.91 X14 : $i]:
% 16.01/2.91 ( (ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X14 @ X13 @ X12 @ X11 @
% 16.01/2.91 X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1)
% 16.01/2.91 | ~ (ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X14 @ X13 @ X12 @
% 16.01/2.91 X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 16.01/2.91 | ~ (ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X14 @ X13 @ X12 @ X11 @
% 16.01/2.91 X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1)
% 16.01/2.91 | ~ (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X14 @ X13 @ X12 @ X11 @
% 16.01/2.91 X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1))),
% 16.01/2.91 inference('s_sup+', [status(thm)],
% 16.01/2.91 [zip_derived_cl3661, zip_derived_cl2992])).
% 16.01/2.91 thf(zip_derived_cl3673, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 16.01/2.91 ( (ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X13 @ X12 @ X11 @ X10 @
% 16.01/2.91 X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 16.01/2.91 | ~ (ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X13 @ X12 @ X11 @ X10 @
% 16.01/2.91 X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 16.01/2.91 | ~ (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X13 @ X12 @ X11 @ X10 @
% 16.01/2.91 X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0))),
% 16.01/2.91 inference('s_sup-', [status(thm)],
% 16.01/2.91 [zip_derived_cl2801, zip_derived_cl3662])).
% 16.01/2.91 thf(clause223, conjecture,
% 16.01/2.91 (~( ( ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.91 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) |
% 16.01/2.91 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 16.01/2.91 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 16.01/2.91 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 16.01/2.91 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 16.01/2.91 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 16.01/2.91 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 16.01/2.91 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 16.01/2.91 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 16.01/2.91 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 16.01/2.91 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.91 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 16.01/2.91 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.91 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 16.01/2.91 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.91 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 16.01/2.91 ( ~( ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.91 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) ))).
% 16.01/2.91 thf(zf_stmt_42, negated_conjecture,
% 16.01/2.91 (( ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.91 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) |
% 16.01/2.91 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 16.01/2.91 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 16.01/2.91 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 16.01/2.91 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 16.01/2.91 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 16.01/2.91 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 16.01/2.91 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 16.01/2.91 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 16.01/2.91 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.91 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 16.01/2.91 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.91 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 16.01/2.91 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.91 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 16.01/2.91 ( ~( ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.91 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) )),
% 16.01/2.91 inference('cnf.neg', [status(esa)], [clause223])).
% 16.01/2.91 thf(zip_derived_cl222, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 16.01/2.91 ( (ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 16.01/2.91 | ~ (ssNder1_0)
% 16.01/2.91 | ~ (ssNder1_1r1 @ X0)
% 16.01/2.91 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.91 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.91 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.91 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.91 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.91 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.91 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.91 X7)
% 16.01/2.91 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6 @ X7 @ X8)
% 16.01/2.91 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6 @ X7 @ X8 @ X9)
% 16.01/2.91 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 16.01/2.91 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 16.01/2.91 | ~ (ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11))),
% 16.01/2.91 inference('cnf', [status(esa)], [zf_stmt_42])).
% 16.01/2.91 thf(zip_derived_cl986, plain,
% 16.01/2.91 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 16.01/2.91 (~ (ssNder1_1r1 @ X0)
% 16.01/2.91 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.91 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.91 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.91 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.91 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.91 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.91 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.91 X7)
% 16.01/2.91 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6 @ X7 @ X8)
% 16.01/2.91 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6 @ X7 @ X8 @ X9)
% 16.01/2.91 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 16.01/2.91 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 16.01/2.91 | ~ (ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 16.01/2.91 | (ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)))
% 16.01/2.91 <= ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 16.01/2.91 (~ (ssNder1_1r1 @ X0)
% 16.01/2.91 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.91 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.91 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.91 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.91 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.91 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6)
% 16.01/2.91 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7)
% 16.01/2.91 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8)
% 16.01/2.91 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.91 X4 @ X5 @ X6 @ X7 @ X8 @ X9)
% 16.01/2.91 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.91 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 16.01/2.91 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.91 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 16.01/2.91 | ~ (ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.91 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 16.01/2.91 | (ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.91 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12))))),
% 16.01/2.91 inference('split', [status(esa)], [zip_derived_cl222])).
% 16.01/2.91 thf(zip_derived_cl1634, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl544, '2'])).
% 16.01/2.91 thf(zip_derived_cl1646, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl1645, '4'])).
% 16.01/2.91 thf(zip_derived_cl1717, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl1716, '6'])).
% 16.01/2.91 thf(zip_derived_cl1805, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 16.01/2.91 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl1804, '10'])).
% 16.01/2.91 thf(zip_derived_cl1967, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 16.01/2.91 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl1966, '12'])).
% 16.01/2.91 thf(zip_derived_cl2176, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 16.01/2.91 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl2175, '14'])).
% 16.01/2.91 thf(zip_derived_cl2322, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 16.01/2.91 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl2321, '16'])).
% 16.01/2.91 thf(zip_derived_cl2380, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 16.01/2.91 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl2379, '18'])).
% 16.01/2.91 thf(zip_derived_cl2438, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i, X8 : $i]:
% 16.01/2.91 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.91 X7 @ X8)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl2437, '20'])).
% 16.01/2.91 thf(zip_derived_cl2499, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i, X8 : $i, X9 : $i]:
% 16.01/2.91 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.91 X7 @ X8 @ X9)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl2498, '34'])).
% 16.01/2.91 thf(zip_derived_cl2567, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 16.01/2.91 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6 @ X7 @ X8 @ X9 @ X10)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl2566, '38'])).
% 16.01/2.91 thf(zip_derived_cl2629, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 16.01/2.91 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl2628, '42'])).
% 16.01/2.91 thf(zip_derived_cl2759, plain,
% 16.01/2.91 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 16.01/2.91 (~ (ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 16.01/2.91 | (ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)))
% 16.01/2.91 <= ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 16.01/2.91 (~ (ssNder1_1r1 @ X0)
% 16.01/2.91 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.91 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.91 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.91 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.91 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.91 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6)
% 16.01/2.91 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7)
% 16.01/2.91 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8)
% 16.01/2.91 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.91 X4 @ X5 @ X6 @ X7 @ X8 @ X9)
% 16.01/2.91 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.91 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 16.01/2.91 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.91 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 16.01/2.91 | ~ (ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.91 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 16.01/2.91 | (ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.91 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12))))),
% 16.01/2.91 inference('demod', [status(thm)],
% 16.01/2.91 [zip_derived_cl986, zip_derived_cl1634, zip_derived_cl1646,
% 16.01/2.91 zip_derived_cl1717, zip_derived_cl1805, zip_derived_cl1967,
% 16.01/2.91 zip_derived_cl2176, zip_derived_cl2322, zip_derived_cl2380,
% 16.01/2.91 zip_derived_cl2438, zip_derived_cl2499, zip_derived_cl2567,
% 16.01/2.91 zip_derived_cl2629])).
% 16.01/2.91 thf('83', plain,
% 16.01/2.91 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 16.01/2.91 (~ (ssNder1_1r1 @ X0)
% 16.01/2.91 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.91 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.91 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.91 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.91 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.91 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.91 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.91 X7)
% 16.01/2.91 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6 @ X7 @ X8)
% 16.01/2.91 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6 @ X7 @ X8 @ X9)
% 16.01/2.91 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 16.01/2.91 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 16.01/2.91 | ~ (ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 16.01/2.91 | (ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12))) |
% 16.01/2.91 ~ ( (ssNder1_0))),
% 16.01/2.91 inference('split', [status(esa)], [zip_derived_cl222])).
% 16.01/2.91 thf('84', plain,
% 16.01/2.91 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 16.01/2.91 (~ (ssNder1_1r1 @ X0)
% 16.01/2.91 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.91 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.91 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.91 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.91 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.91 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.91 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.91 X7)
% 16.01/2.91 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6 @ X7 @ X8)
% 16.01/2.91 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6 @ X7 @ X8 @ X9)
% 16.01/2.91 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 16.01/2.91 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 16.01/2.91 | ~ (ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 16.01/2.91 | (ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)))),
% 16.01/2.91 inference('sat_resolution*', [status(thm)], ['0', '83'])).
% 16.01/2.91 thf(zip_derived_cl2760, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 16.01/2.91 (~ (ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 16.01/2.91 | (ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12))),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl2759, '84'])).
% 16.01/2.91 thf(clause267, conjecture,
% 16.01/2.91 (~( ( ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.91 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) |
% 16.01/2.91 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 16.01/2.91 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 16.01/2.91 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 16.01/2.91 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 16.01/2.91 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 16.01/2.91 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 16.01/2.91 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 16.01/2.91 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 16.01/2.91 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 16.01/2.91 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.91 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 16.01/2.91 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.91 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 16.01/2.91 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.91 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 16.01/2.91 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.91 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 16.01/2.91 ( ~( ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.91 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) ))).
% 16.01/2.91 thf(zf_stmt_43, negated_conjecture,
% 16.01/2.91 (( ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.91 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) |
% 16.01/2.91 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 16.01/2.91 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 16.01/2.91 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 16.01/2.91 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 16.01/2.91 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 16.01/2.91 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 16.01/2.91 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 16.01/2.91 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 16.01/2.91 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.91 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 16.01/2.91 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.91 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 16.01/2.91 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.91 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 16.01/2.91 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.91 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 16.01/2.91 ( ~( ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.91 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) )),
% 16.01/2.91 inference('cnf.neg', [status(esa)], [clause267])).
% 16.01/2.91 thf(zip_derived_cl266, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 16.01/2.91 ( (ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 16.01/2.91 | ~ (ssNder1_0)
% 16.01/2.91 | ~ (ssNder1_1r1 @ X0)
% 16.01/2.91 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.91 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.91 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.91 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.91 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.91 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.91 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.91 X7)
% 16.01/2.91 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6 @ X7 @ X8)
% 16.01/2.91 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6 @ X7 @ X8 @ X9)
% 16.01/2.91 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 16.01/2.91 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 16.01/2.91 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 16.01/2.91 | ~ (ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12))),
% 16.01/2.91 inference('cnf', [status(esa)], [zf_stmt_43])).
% 16.01/2.91 thf(zip_derived_cl1074, plain,
% 16.01/2.91 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 16.01/2.91 (~ (ssNder1_1r1 @ X0)
% 16.01/2.91 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.91 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.91 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.91 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.91 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.91 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.91 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.91 X7)
% 16.01/2.91 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6 @ X7 @ X8)
% 16.01/2.91 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6 @ X7 @ X8 @ X9)
% 16.01/2.91 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 16.01/2.91 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 16.01/2.91 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.91 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 16.01/2.91 | ~ (ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 16.01/2.91 | (ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.91 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)))
% 16.01/2.91 <= ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i,
% 16.01/2.91 X13 : $i]:
% 16.01/2.91 (~ (ssNder1_1r1 @ X0)
% 16.01/2.91 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.91 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.91 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.91 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.91 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.91 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6)
% 16.01/2.91 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7)
% 16.01/2.91 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8)
% 16.01/2.91 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.91 X4 @ X5 @ X6 @ X7 @ X8 @ X9)
% 16.01/2.91 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.91 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 16.01/2.91 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.91 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 16.01/2.91 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 16.01/2.91 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 16.01/2.91 | ~ (ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 16.01/2.91 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 16.01/2.91 | (ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 16.01/2.91 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13))))),
% 16.01/2.91 inference('split', [status(esa)], [zip_derived_cl266])).
% 16.01/2.91 thf(zip_derived_cl1634, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl544, '2'])).
% 16.01/2.91 thf(zip_derived_cl1646, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl1645, '4'])).
% 16.01/2.91 thf(zip_derived_cl1717, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl1716, '6'])).
% 16.01/2.91 thf(zip_derived_cl1805, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 16.01/2.91 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl1804, '10'])).
% 16.01/2.91 thf(zip_derived_cl1967, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 16.01/2.91 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl1966, '12'])).
% 16.01/2.91 thf(zip_derived_cl2176, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 16.01/2.91 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl2175, '14'])).
% 16.01/2.91 thf(zip_derived_cl2322, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 16.01/2.91 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl2321, '16'])).
% 16.01/2.91 thf(zip_derived_cl2380, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 16.01/2.91 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl2379, '18'])).
% 16.01/2.91 thf(zip_derived_cl2438, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i, X8 : $i]:
% 16.01/2.91 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.91 X7 @ X8)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl2437, '20'])).
% 16.01/2.91 thf(zip_derived_cl2499, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i, X8 : $i, X9 : $i]:
% 16.01/2.91 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.91 X7 @ X8 @ X9)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl2498, '34'])).
% 16.01/2.91 thf(zip_derived_cl2567, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 16.01/2.91 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6 @ X7 @ X8 @ X9 @ X10)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl2566, '38'])).
% 16.01/2.91 thf(zip_derived_cl2629, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 16.01/2.91 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl2628, '42'])).
% 16.01/2.91 thf(zip_derived_cl2715, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 16.01/2.91 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl2714, '44'])).
% 16.01/2.91 thf(zip_derived_cl2816, plain,
% 16.01/2.91 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 16.01/2.91 (~ (ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 16.01/2.91 | (ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.91 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)))
% 16.01/2.91 <= ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i,
% 16.01/2.91 X13 : $i]:
% 16.01/2.91 (~ (ssNder1_1r1 @ X0)
% 16.01/2.91 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.91 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.91 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.91 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.91 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.91 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6)
% 16.01/2.91 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7)
% 16.01/2.91 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8)
% 16.01/2.91 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.91 X4 @ X5 @ X6 @ X7 @ X8 @ X9)
% 16.01/2.91 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.91 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 16.01/2.91 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.91 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 16.01/2.91 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 16.01/2.91 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 16.01/2.91 | ~ (ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 16.01/2.91 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 16.01/2.91 | (ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 16.01/2.91 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13))))),
% 16.01/2.91 inference('demod', [status(thm)],
% 16.01/2.91 [zip_derived_cl1074, zip_derived_cl1634, zip_derived_cl1646,
% 16.01/2.91 zip_derived_cl1717, zip_derived_cl1805, zip_derived_cl1967,
% 16.01/2.91 zip_derived_cl2176, zip_derived_cl2322, zip_derived_cl2380,
% 16.01/2.91 zip_derived_cl2438, zip_derived_cl2499, zip_derived_cl2567,
% 16.01/2.91 zip_derived_cl2629, zip_derived_cl2715])).
% 16.01/2.91 thf('85', plain,
% 16.01/2.91 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 16.01/2.91 (~ (ssNder1_1r1 @ X0)
% 16.01/2.91 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.91 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.91 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.91 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.91 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.91 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.91 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.91 X7)
% 16.01/2.91 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6 @ X7 @ X8)
% 16.01/2.91 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6 @ X7 @ X8 @ X9)
% 16.01/2.91 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 16.01/2.91 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 16.01/2.91 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.91 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 16.01/2.91 | ~ (ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 16.01/2.91 | (ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.91 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13))) |
% 16.01/2.91 ~ ( (ssNder1_0))),
% 16.01/2.91 inference('split', [status(esa)], [zip_derived_cl266])).
% 16.01/2.91 thf('86', plain,
% 16.01/2.91 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 16.01/2.91 (~ (ssNder1_1r1 @ X0)
% 16.01/2.91 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.91 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.91 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.91 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.91 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.91 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.91 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.91 X7)
% 16.01/2.91 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6 @ X7 @ X8)
% 16.01/2.91 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6 @ X7 @ X8 @ X9)
% 16.01/2.91 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 16.01/2.91 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 16.01/2.91 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.91 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 16.01/2.91 | ~ (ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 16.01/2.91 | (ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.91 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)))),
% 16.01/2.91 inference('sat_resolution*', [status(thm)], ['0', '85'])).
% 16.01/2.91 thf(zip_derived_cl2817, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 16.01/2.91 (~ (ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 16.01/2.91 | (ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13))),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl2816, '86'])).
% 16.01/2.91 thf(zip_derived_cl2818, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 16.01/2.91 (~ (ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X12 @ X11 @ X10 @ X9 @ X8 @
% 16.01/2.91 X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1)
% 16.01/2.91 | (ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X12 @ X11 @ X10 @ X9 @
% 16.01/2.91 X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X13))),
% 16.01/2.91 inference('s_sup-', [status(thm)],
% 16.01/2.91 [zip_derived_cl2760, zip_derived_cl2817])).
% 16.01/2.91 thf(zip_derived_cl3674, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 16.01/2.91 (~ (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X13 @ X12 @ X11 @ X10 @
% 16.01/2.91 X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 16.01/2.91 | (ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X13 @ X12 @ X11 @ X10 @
% 16.01/2.91 X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 16.01/2.91 | ~ (ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X13 @ X12 @ X11 @ X10 @
% 16.01/2.91 X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2))),
% 16.01/2.91 inference('s_sup+', [status(thm)],
% 16.01/2.91 [zip_derived_cl3673, zip_derived_cl2818])).
% 16.01/2.91 thf(clause274, conjecture,
% 16.01/2.91 (~( ( ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.91 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) |
% 16.01/2.91 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 16.01/2.91 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 16.01/2.91 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 16.01/2.91 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 16.01/2.91 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 16.01/2.91 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 16.01/2.91 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 16.01/2.91 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 16.01/2.91 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 16.01/2.91 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.91 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 16.01/2.91 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.91 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 16.01/2.91 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.91 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 16.01/2.91 ( ~( ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.91 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 16.01/2.91 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.91 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) ))).
% 16.01/2.91 thf(zf_stmt_44, negated_conjecture,
% 16.01/2.91 (( ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.91 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) |
% 16.01/2.91 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 16.01/2.91 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 16.01/2.91 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 16.01/2.91 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 16.01/2.91 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 16.01/2.91 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 16.01/2.91 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 16.01/2.91 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 16.01/2.91 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.91 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 16.01/2.91 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.91 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 16.01/2.91 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.91 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 16.01/2.91 ( ~( ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.91 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 16.01/2.91 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.91 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) )),
% 16.01/2.91 inference('cnf.neg', [status(esa)], [clause274])).
% 16.01/2.91 thf(zip_derived_cl273, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 16.01/2.91 ( (ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 16.01/2.91 | ~ (ssNder1_0)
% 16.01/2.91 | ~ (ssNder1_1r1 @ X0)
% 16.01/2.91 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.91 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.91 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.91 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.91 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.91 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.91 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.91 X7)
% 16.01/2.91 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6 @ X7 @ X8)
% 16.01/2.91 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6 @ X7 @ X8 @ X9)
% 16.01/2.91 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 16.01/2.91 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 16.01/2.91 | ~ (ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.91 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 16.01/2.91 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12))),
% 16.01/2.91 inference('cnf', [status(esa)], [zf_stmt_44])).
% 16.01/2.91 thf(zip_derived_cl1088, plain,
% 16.01/2.91 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 16.01/2.91 (~ (ssNder1_1r1 @ X0)
% 16.01/2.91 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.91 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.91 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.91 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.91 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.91 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.91 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.91 X7)
% 16.01/2.91 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6 @ X7 @ X8)
% 16.01/2.91 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6 @ X7 @ X8 @ X9)
% 16.01/2.91 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 16.01/2.91 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 16.01/2.91 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.91 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 16.01/2.91 | (ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 16.01/2.91 | ~ (ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.91 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)))
% 16.01/2.91 <= ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i,
% 16.01/2.91 X13 : $i]:
% 16.01/2.91 (~ (ssNder1_1r1 @ X0)
% 16.01/2.91 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.91 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.91 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.91 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.91 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.91 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6)
% 16.01/2.91 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7)
% 16.01/2.91 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8)
% 16.01/2.91 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.91 X4 @ X5 @ X6 @ X7 @ X8 @ X9)
% 16.01/2.91 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.91 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 16.01/2.91 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.91 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 16.01/2.91 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 16.01/2.91 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 16.01/2.91 | (ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.91 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 16.01/2.91 | ~ (ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 16.01/2.91 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13))))),
% 16.01/2.91 inference('split', [status(esa)], [zip_derived_cl273])).
% 16.01/2.91 thf(zip_derived_cl1634, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl544, '2'])).
% 16.01/2.91 thf(zip_derived_cl1646, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl1645, '4'])).
% 16.01/2.91 thf(zip_derived_cl1717, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl1716, '6'])).
% 16.01/2.91 thf(zip_derived_cl1805, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 16.01/2.91 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl1804, '10'])).
% 16.01/2.91 thf(zip_derived_cl1967, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 16.01/2.91 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl1966, '12'])).
% 16.01/2.91 thf(zip_derived_cl2176, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 16.01/2.91 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl2175, '14'])).
% 16.01/2.91 thf(zip_derived_cl2322, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 16.01/2.91 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl2321, '16'])).
% 16.01/2.91 thf(zip_derived_cl2380, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 16.01/2.91 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl2379, '18'])).
% 16.01/2.91 thf(zip_derived_cl2438, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i, X8 : $i]:
% 16.01/2.91 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.91 X7 @ X8)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl2437, '20'])).
% 16.01/2.91 thf(zip_derived_cl2499, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i, X8 : $i, X9 : $i]:
% 16.01/2.91 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.91 X7 @ X8 @ X9)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl2498, '34'])).
% 16.01/2.91 thf(zip_derived_cl2567, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 16.01/2.91 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6 @ X7 @ X8 @ X9 @ X10)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl2566, '38'])).
% 16.01/2.91 thf(zip_derived_cl2629, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 16.01/2.91 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl2628, '42'])).
% 16.01/2.91 thf(zip_derived_cl2715, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 16.01/2.91 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl2714, '44'])).
% 16.01/2.91 thf(zip_derived_cl2819, plain,
% 16.01/2.91 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 16.01/2.91 ( (ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 16.01/2.91 | ~ (ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.91 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)))
% 16.01/2.91 <= ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i,
% 16.01/2.91 X13 : $i]:
% 16.01/2.91 (~ (ssNder1_1r1 @ X0)
% 16.01/2.91 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.91 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.91 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.91 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.91 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.91 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6)
% 16.01/2.91 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7)
% 16.01/2.91 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8)
% 16.01/2.91 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.91 X4 @ X5 @ X6 @ X7 @ X8 @ X9)
% 16.01/2.91 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.91 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 16.01/2.91 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.91 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 16.01/2.91 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 16.01/2.91 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 16.01/2.91 | (ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.91 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 16.01/2.91 | ~ (ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 16.01/2.91 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13))))),
% 16.01/2.91 inference('demod', [status(thm)],
% 16.01/2.91 [zip_derived_cl1088, zip_derived_cl1634, zip_derived_cl1646,
% 16.01/2.91 zip_derived_cl1717, zip_derived_cl1805, zip_derived_cl1967,
% 16.01/2.91 zip_derived_cl2176, zip_derived_cl2322, zip_derived_cl2380,
% 16.01/2.91 zip_derived_cl2438, zip_derived_cl2499, zip_derived_cl2567,
% 16.01/2.91 zip_derived_cl2629, zip_derived_cl2715])).
% 16.01/2.91 thf('87', plain,
% 16.01/2.91 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 16.01/2.91 (~ (ssNder1_1r1 @ X0)
% 16.01/2.91 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.91 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.91 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.91 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.91 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.91 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.91 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.91 X7)
% 16.01/2.91 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6 @ X7 @ X8)
% 16.01/2.91 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6 @ X7 @ X8 @ X9)
% 16.01/2.91 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 16.01/2.91 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 16.01/2.91 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.91 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 16.01/2.91 | (ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 16.01/2.91 | ~ (ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.91 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13))) |
% 16.01/2.91 ~ ( (ssNder1_0))),
% 16.01/2.91 inference('split', [status(esa)], [zip_derived_cl273])).
% 16.01/2.91 thf('88', plain,
% 16.01/2.91 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 16.01/2.91 (~ (ssNder1_1r1 @ X0)
% 16.01/2.91 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.91 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.91 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.91 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.91 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.91 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.91 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.91 X7)
% 16.01/2.91 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6 @ X7 @ X8)
% 16.01/2.91 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6 @ X7 @ X8 @ X9)
% 16.01/2.91 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 16.01/2.91 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 16.01/2.91 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.91 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 16.01/2.91 | (ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 16.01/2.91 | ~ (ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.91 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)))),
% 16.01/2.91 inference('sat_resolution*', [status(thm)], ['0', '87'])).
% 16.01/2.91 thf(zip_derived_cl2820, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 16.01/2.91 ( (ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 16.01/2.91 | ~ (ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.91 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13))),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl2819, '88'])).
% 16.01/2.91 thf(zip_derived_cl3676, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 16.01/2.91 (~ (ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X13 @ X12 @ X11 @ X10 @ X9 @
% 16.01/2.91 X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2)
% 16.01/2.91 | ~ (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X13 @ X12 @ X11 @ X10 @
% 16.01/2.91 X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 16.01/2.91 | (ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X13 @ X12 @ X11 @ X10 @
% 16.01/2.91 X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1))),
% 16.01/2.91 inference('s_sup-', [status(thm)],
% 16.01/2.91 [zip_derived_cl3674, zip_derived_cl2820])).
% 16.01/2.91 thf(zip_derived_cl3677, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 16.01/2.91 (~ (ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X12 @ X11 @ X10 @ X9 @ X8 @
% 16.01/2.91 X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1)
% 16.01/2.91 | (ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X12 @ X11 @ X10 @ X9 @
% 16.01/2.91 X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0))),
% 16.01/2.91 inference('s_sup-', [status(thm)],
% 16.01/2.91 [zip_derived_cl2721, zip_derived_cl3676])).
% 16.01/2.91 thf(zip_derived_cl3678, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 16.01/2.91 (~ (ssPv11_11r1r1r1r1r1r1r1r1r1r1r1 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @
% 16.01/2.91 X5 @ X4 @ X3 @ X2 @ X1)
% 16.01/2.91 | (ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X11 @ X10 @ X9 @ X8 @ X7 @
% 16.01/2.91 X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X12))),
% 16.01/2.91 inference('s_sup-', [status(thm)],
% 16.01/2.91 [zip_derived_cl2703, zip_derived_cl3677])).
% 16.01/2.91 thf(zip_derived_cl3679, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 16.01/2.91 (~ (ssPv11_10r1r1r1r1r1r1r1r1r1r1 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @
% 16.01/2.91 X4 @ X3 @ X2 @ X1)
% 16.01/2.91 | (ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X10 @ X9 @ X8 @ X7 @ X6 @
% 16.01/2.91 X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X12 @ X11))),
% 16.01/2.91 inference('s_sup-', [status(thm)],
% 16.01/2.91 [zip_derived_cl2604, zip_derived_cl3678])).
% 16.01/2.91 thf(clause229, conjecture,
% 16.01/2.91 (~( ( ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.91 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) |
% 16.01/2.91 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 16.01/2.91 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 16.01/2.91 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 16.01/2.91 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 16.01/2.91 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 16.01/2.91 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 16.01/2.91 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 16.01/2.91 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 16.01/2.91 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 16.01/2.91 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.91 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 16.01/2.91 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.91 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 16.01/2.91 ( ~( ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.91 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 16.01/2.91 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.91 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) ))).
% 16.01/2.91 thf(zf_stmt_45, negated_conjecture,
% 16.01/2.91 (( ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.91 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) |
% 16.01/2.91 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 16.01/2.91 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 16.01/2.91 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 16.01/2.91 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 16.01/2.91 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 16.01/2.91 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 16.01/2.91 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 16.01/2.91 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 16.01/2.91 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.91 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 16.01/2.91 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.91 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 16.01/2.91 ( ~( ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.91 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 16.01/2.91 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.91 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) )),
% 16.01/2.91 inference('cnf.neg', [status(esa)], [clause229])).
% 16.01/2.91 thf(zip_derived_cl228, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 16.01/2.91 ( (ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 16.01/2.91 | ~ (ssNder1_0)
% 16.01/2.91 | ~ (ssNder1_1r1 @ X0)
% 16.01/2.91 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.91 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.91 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.91 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.91 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.91 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.91 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.91 X7)
% 16.01/2.91 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6 @ X7 @ X8)
% 16.01/2.91 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6 @ X7 @ X8 @ X9)
% 16.01/2.91 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 16.01/2.91 | ~ (ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 16.01/2.91 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11))),
% 16.01/2.91 inference('cnf', [status(esa)], [zf_stmt_45])).
% 16.01/2.91 thf(zip_derived_cl998, plain,
% 16.01/2.91 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 16.01/2.91 (~ (ssNder1_1r1 @ X0)
% 16.01/2.91 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.91 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.91 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.91 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.91 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.91 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.91 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.91 X7)
% 16.01/2.91 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6 @ X7 @ X8)
% 16.01/2.91 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6 @ X7 @ X8 @ X9)
% 16.01/2.91 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 16.01/2.91 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 16.01/2.91 | (ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 16.01/2.91 | ~ (ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)))
% 16.01/2.91 <= ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 16.01/2.91 (~ (ssNder1_1r1 @ X0)
% 16.01/2.91 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.91 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.91 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.91 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.91 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.91 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6)
% 16.01/2.91 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7)
% 16.01/2.91 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8)
% 16.01/2.91 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.91 X4 @ X5 @ X6 @ X7 @ X8 @ X9)
% 16.01/2.91 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.91 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 16.01/2.91 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.91 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 16.01/2.91 | (ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.91 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 16.01/2.91 | ~ (ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 16.01/2.91 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12))))),
% 16.01/2.91 inference('split', [status(esa)], [zip_derived_cl228])).
% 16.01/2.91 thf(zip_derived_cl1634, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl544, '2'])).
% 16.01/2.91 thf(zip_derived_cl1646, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl1645, '4'])).
% 16.01/2.91 thf(zip_derived_cl1717, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl1716, '6'])).
% 16.01/2.91 thf(zip_derived_cl1805, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 16.01/2.91 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl1804, '10'])).
% 16.01/2.91 thf(zip_derived_cl1967, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 16.01/2.91 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl1966, '12'])).
% 16.01/2.91 thf(zip_derived_cl2176, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 16.01/2.91 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl2175, '14'])).
% 16.01/2.91 thf(zip_derived_cl2322, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 16.01/2.91 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl2321, '16'])).
% 16.01/2.91 thf(zip_derived_cl2380, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 16.01/2.91 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl2379, '18'])).
% 16.01/2.91 thf(zip_derived_cl2438, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i, X8 : $i]:
% 16.01/2.91 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.91 X7 @ X8)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl2437, '20'])).
% 16.01/2.91 thf(zip_derived_cl2499, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i, X8 : $i, X9 : $i]:
% 16.01/2.91 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.91 X7 @ X8 @ X9)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl2498, '34'])).
% 16.01/2.91 thf(zip_derived_cl2567, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 16.01/2.91 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6 @ X7 @ X8 @ X9 @ X10)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl2566, '38'])).
% 16.01/2.91 thf(zip_derived_cl2629, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 16.01/2.91 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl2628, '42'])).
% 16.01/2.91 thf(zip_derived_cl2730, plain,
% 16.01/2.91 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 16.01/2.91 ( (ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 16.01/2.91 | ~ (ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)))
% 16.01/2.91 <= ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 16.01/2.91 (~ (ssNder1_1r1 @ X0)
% 16.01/2.91 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.91 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.91 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.91 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.91 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.91 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6)
% 16.01/2.91 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7)
% 16.01/2.91 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8)
% 16.01/2.91 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.91 X4 @ X5 @ X6 @ X7 @ X8 @ X9)
% 16.01/2.91 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.91 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 16.01/2.91 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.91 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 16.01/2.91 | (ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.91 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 16.01/2.91 | ~ (ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 16.01/2.91 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12))))),
% 16.01/2.91 inference('demod', [status(thm)],
% 16.01/2.91 [zip_derived_cl998, zip_derived_cl1634, zip_derived_cl1646,
% 16.01/2.91 zip_derived_cl1717, zip_derived_cl1805, zip_derived_cl1967,
% 16.01/2.91 zip_derived_cl2176, zip_derived_cl2322, zip_derived_cl2380,
% 16.01/2.91 zip_derived_cl2438, zip_derived_cl2499, zip_derived_cl2567,
% 16.01/2.91 zip_derived_cl2629])).
% 16.01/2.91 thf('89', plain,
% 16.01/2.91 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 16.01/2.91 (~ (ssNder1_1r1 @ X0)
% 16.01/2.91 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.91 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.91 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.91 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.91 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.91 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.91 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.91 X7)
% 16.01/2.91 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6 @ X7 @ X8)
% 16.01/2.91 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6 @ X7 @ X8 @ X9)
% 16.01/2.91 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 16.01/2.91 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 16.01/2.91 | (ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 16.01/2.91 | ~ (ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12))) |
% 16.01/2.91 ~ ( (ssNder1_0))),
% 16.01/2.91 inference('split', [status(esa)], [zip_derived_cl228])).
% 16.01/2.91 thf('90', plain,
% 16.01/2.91 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 16.01/2.91 (~ (ssNder1_1r1 @ X0)
% 16.01/2.91 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.91 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.91 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.91 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.91 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.91 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.91 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.91 X7)
% 16.01/2.91 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6 @ X7 @ X8)
% 16.01/2.91 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6 @ X7 @ X8 @ X9)
% 16.01/2.91 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 16.01/2.91 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 16.01/2.91 | (ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 16.01/2.91 | ~ (ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)))),
% 16.01/2.91 inference('sat_resolution*', [status(thm)], ['0', '89'])).
% 16.01/2.91 thf(zip_derived_cl2731, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 16.01/2.91 ( (ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 16.01/2.91 | ~ (ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12))),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl2730, '90'])).
% 16.01/2.91 thf(zip_derived_cl3680, plain,
% 16.01/2.91 (![X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i,
% 16.01/2.91 X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 16.01/2.91 (~ (ssPv11_10r1r1r1r1r1r1r1r1r1r1 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @
% 16.01/2.91 X6 @ X5 @ X4 @ X3)
% 16.01/2.91 | (ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X12 @ X11 @ X10 @ X9 @ X8 @
% 16.01/2.91 X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1))),
% 16.01/2.91 inference('s_sup-', [status(thm)],
% 16.01/2.91 [zip_derived_cl3679, zip_derived_cl2731])).
% 16.01/2.91 thf(clause210, conjecture,
% 16.01/2.91 (~( ( ssPv17_11r1r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.91 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) |
% 16.01/2.91 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 16.01/2.91 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 16.01/2.91 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 16.01/2.91 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 16.01/2.91 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 16.01/2.91 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 16.01/2.91 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 16.01/2.91 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 16.01/2.91 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 16.01/2.91 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.91 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 16.01/2.91 ( ~( ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.91 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 16.01/2.91 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.91 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) ))).
% 16.01/2.91 thf(zf_stmt_46, negated_conjecture,
% 16.01/2.91 (( ssPv17_11r1r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.91 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) |
% 16.01/2.91 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 16.01/2.91 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 16.01/2.91 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 16.01/2.91 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 16.01/2.91 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 16.01/2.91 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 16.01/2.91 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 16.01/2.91 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 16.01/2.91 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.91 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 16.01/2.91 ( ~( ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.91 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 16.01/2.91 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.91 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) )),
% 16.01/2.91 inference('cnf.neg', [status(esa)], [clause210])).
% 16.01/2.91 thf(zip_derived_cl209, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 16.01/2.91 ( (ssPv17_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6 @ X7 @ X8 @ X9 @ X10)
% 16.01/2.91 | ~ (ssNder1_0)
% 16.01/2.91 | ~ (ssNder1_1r1 @ X0)
% 16.01/2.91 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.91 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.91 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.91 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.91 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.91 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.91 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.91 X7)
% 16.01/2.91 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6 @ X7 @ X8)
% 16.01/2.91 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6 @ X7 @ X8 @ X9)
% 16.01/2.91 | ~ (ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 16.01/2.91 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8 @ X9 @ X10))),
% 16.01/2.91 inference('cnf', [status(esa)], [zf_stmt_46])).
% 16.01/2.91 thf(zip_derived_cl960, plain,
% 16.01/2.91 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 16.01/2.91 (~ (ssNder1_1r1 @ X0)
% 16.01/2.91 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.91 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.91 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.91 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.91 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.91 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.91 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.91 X7)
% 16.01/2.91 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6 @ X7 @ X8)
% 16.01/2.91 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6 @ X7 @ X8 @ X9)
% 16.01/2.91 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 16.01/2.91 | (ssPv17_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6 @ X7 @ X8 @ X9 @ X10)
% 16.01/2.91 | ~ (ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)))
% 16.01/2.91 <= ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.91 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 16.01/2.91 (~ (ssNder1_1r1 @ X0)
% 16.01/2.91 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.91 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.91 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.91 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.91 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.91 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.91 X6)
% 16.01/2.91 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7)
% 16.01/2.91 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.91 X5 @ X6 @ X7 @ X8)
% 16.01/2.91 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.91 X4 @ X5 @ X6 @ X7 @ X8 @ X9)
% 16.01/2.91 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.91 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 16.01/2.91 | (ssPv17_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.91 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 16.01/2.91 | ~ (ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.91 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11))))),
% 16.01/2.91 inference('split', [status(esa)], [zip_derived_cl209])).
% 16.01/2.91 thf(zip_derived_cl1634, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl544, '2'])).
% 16.01/2.91 thf(zip_derived_cl1646, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl1645, '4'])).
% 16.01/2.91 thf(zip_derived_cl1717, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl1716, '6'])).
% 16.01/2.91 thf(zip_derived_cl1805, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 16.01/2.91 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 16.01/2.91 inference('simpl_trail', [status(thm)], [zip_derived_cl1804, '10'])).
% 16.01/2.91 thf(zip_derived_cl1967, plain,
% 16.01/2.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 16.01/2.92 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl1966, '12'])).
% 16.01/2.92 thf(zip_derived_cl2176, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 16.01/2.92 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl2175, '14'])).
% 16.01/2.92 thf(zip_derived_cl2322, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 16.01/2.92 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl2321, '16'])).
% 16.01/2.92 thf(zip_derived_cl2380, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 16.01/2.92 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl2379, '18'])).
% 16.01/2.92 thf(zip_derived_cl2438, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.92 X7 : $i, X8 : $i]:
% 16.01/2.92 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.92 X7 @ X8)),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl2437, '20'])).
% 16.01/2.92 thf(zip_derived_cl2499, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.92 X7 : $i, X8 : $i, X9 : $i]:
% 16.01/2.92 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.92 X7 @ X8 @ X9)),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl2498, '34'])).
% 16.01/2.92 thf(zip_derived_cl2567, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.92 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 16.01/2.92 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.92 X6 @ X7 @ X8 @ X9 @ X10)),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl2566, '38'])).
% 16.01/2.92 thf(zip_derived_cl2652, plain,
% 16.01/2.92 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.92 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 16.01/2.92 ( (ssPv17_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.92 X6 @ X7 @ X8 @ X9 @ X10)
% 16.01/2.92 | ~ (ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.92 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)))
% 16.01/2.92 <= ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.92 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 16.01/2.92 (~ (ssNder1_1r1 @ X0)
% 16.01/2.92 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.92 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.92 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.92 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.92 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.92 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.92 X6)
% 16.01/2.92 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.92 X5 @ X6 @ X7)
% 16.01/2.92 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.92 X5 @ X6 @ X7 @ X8)
% 16.01/2.92 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.92 X4 @ X5 @ X6 @ X7 @ X8 @ X9)
% 16.01/2.92 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.92 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 16.01/2.92 | (ssPv17_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.92 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 16.01/2.92 | ~ (ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.92 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11))))),
% 16.01/2.92 inference('demod', [status(thm)],
% 16.01/2.92 [zip_derived_cl960, zip_derived_cl1634, zip_derived_cl1646,
% 16.01/2.92 zip_derived_cl1717, zip_derived_cl1805, zip_derived_cl1967,
% 16.01/2.92 zip_derived_cl2176, zip_derived_cl2322, zip_derived_cl2380,
% 16.01/2.92 zip_derived_cl2438, zip_derived_cl2499, zip_derived_cl2567])).
% 16.01/2.92 thf('91', plain,
% 16.01/2.92 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.92 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 16.01/2.92 (~ (ssNder1_1r1 @ X0)
% 16.01/2.92 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.92 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.92 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.92 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.92 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.92 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.92 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.92 X7)
% 16.01/2.92 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.92 X6 @ X7 @ X8)
% 16.01/2.92 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.92 X6 @ X7 @ X8 @ X9)
% 16.01/2.92 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.92 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 16.01/2.92 | (ssPv17_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.92 X6 @ X7 @ X8 @ X9 @ X10)
% 16.01/2.92 | ~ (ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.92 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11))) |
% 16.01/2.92 ~ ( (ssNder1_0))),
% 16.01/2.92 inference('split', [status(esa)], [zip_derived_cl209])).
% 16.01/2.92 thf('92', plain,
% 16.01/2.92 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.92 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 16.01/2.92 (~ (ssNder1_1r1 @ X0)
% 16.01/2.92 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.92 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.92 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.92 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.92 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.92 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.92 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.92 X7)
% 16.01/2.92 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.92 X6 @ X7 @ X8)
% 16.01/2.92 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.92 X6 @ X7 @ X8 @ X9)
% 16.01/2.92 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.92 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 16.01/2.92 | (ssPv17_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.92 X6 @ X7 @ X8 @ X9 @ X10)
% 16.01/2.92 | ~ (ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.92 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)))),
% 16.01/2.92 inference('sat_resolution*', [status(thm)], ['0', '91'])).
% 16.01/2.92 thf(zip_derived_cl2653, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.92 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 16.01/2.92 ( (ssPv17_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.92 X6 @ X7 @ X8 @ X9 @ X10)
% 16.01/2.92 | ~ (ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.92 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11))),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl2652, '92'])).
% 16.01/2.92 thf(zip_derived_cl3682, plain,
% 16.01/2.92 (![X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i,
% 16.01/2.92 X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 16.01/2.92 (~ (ssPv11_10r1r1r1r1r1r1r1r1r1r1 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @
% 16.01/2.92 X5 @ X4 @ X3 @ X2)
% 16.01/2.92 | (ssPv17_11r1r1r1r1r1r1r1r1r1r1r1 @ X11 @ X10 @ X9 @ X8 @ X7 @
% 16.01/2.92 X6 @ X5 @ X4 @ X3 @ X2 @ X1))),
% 16.01/2.92 inference('s_sup-', [status(thm)],
% 16.01/2.92 [zip_derived_cl3680, zip_derived_cl2653])).
% 16.01/2.92 thf(clause171, conjecture,
% 16.01/2.92 (~( ( ssPv17_10r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.92 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) |
% 16.01/2.92 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 16.01/2.92 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 16.01/2.92 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 16.01/2.92 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 16.01/2.92 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 16.01/2.92 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 16.01/2.92 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 16.01/2.92 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 16.01/2.92 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 16.01/2.92 ( ~( ssPv17_11r1r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.92 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 16.01/2.92 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.92 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) ))).
% 16.01/2.92 thf(zf_stmt_47, negated_conjecture,
% 16.01/2.92 (( ssPv17_10r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.92 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) |
% 16.01/2.92 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 16.01/2.92 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 16.01/2.92 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 16.01/2.92 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 16.01/2.92 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 16.01/2.92 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 16.01/2.92 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 16.01/2.92 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 16.01/2.92 ( ~( ssPv17_11r1r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.92 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 16.01/2.92 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.92 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) )),
% 16.01/2.92 inference('cnf.neg', [status(esa)], [clause171])).
% 16.01/2.92 thf(zip_derived_cl170, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.92 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 16.01/2.92 ( (ssPv17_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.92 X7 @ X8 @ X9)
% 16.01/2.92 | ~ (ssNder1_0)
% 16.01/2.92 | ~ (ssNder1_1r1 @ X0)
% 16.01/2.92 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.92 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.92 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.92 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.92 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.92 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.92 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.92 X7)
% 16.01/2.92 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.92 X6 @ X7 @ X8)
% 16.01/2.92 | ~ (ssPv17_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.92 X6 @ X7 @ X8 @ X9 @ X10)
% 16.01/2.92 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.92 X6 @ X7 @ X8 @ X9))),
% 16.01/2.92 inference('cnf', [status(esa)], [zf_stmt_47])).
% 16.01/2.92 thf(zip_derived_cl882, plain,
% 16.01/2.92 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.92 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 16.01/2.92 (~ (ssNder1_1r1 @ X0)
% 16.01/2.92 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.92 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.92 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.92 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.92 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.92 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.92 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.92 X7)
% 16.01/2.92 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.92 X6 @ X7 @ X8)
% 16.01/2.92 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.92 X6 @ X7 @ X8 @ X9)
% 16.01/2.92 | (ssPv17_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.92 X6 @ X7 @ X8 @ X9)
% 16.01/2.92 | ~ (ssPv17_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.92 X5 @ X6 @ X7 @ X8 @ X9 @ X10)))
% 16.01/2.92 <= ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.92 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 16.01/2.92 (~ (ssNder1_1r1 @ X0)
% 16.01/2.92 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.92 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.92 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.92 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.92 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.92 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.92 X6)
% 16.01/2.92 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.92 X5 @ X6 @ X7)
% 16.01/2.92 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.92 X5 @ X6 @ X7 @ X8)
% 16.01/2.92 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.92 X4 @ X5 @ X6 @ X7 @ X8 @ X9)
% 16.01/2.92 | (ssPv17_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.92 X5 @ X6 @ X7 @ X8 @ X9)
% 16.01/2.92 | ~ (ssPv17_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.92 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10))))),
% 16.01/2.92 inference('split', [status(esa)], [zip_derived_cl170])).
% 16.01/2.92 thf(zip_derived_cl1634, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl544, '2'])).
% 16.01/2.92 thf(zip_derived_cl1646, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl1645, '4'])).
% 16.01/2.92 thf(zip_derived_cl1717, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl1716, '6'])).
% 16.01/2.92 thf(zip_derived_cl1805, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 16.01/2.92 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl1804, '10'])).
% 16.01/2.92 thf(zip_derived_cl1967, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 16.01/2.92 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl1966, '12'])).
% 16.01/2.92 thf(zip_derived_cl2176, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 16.01/2.92 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl2175, '14'])).
% 16.01/2.92 thf(zip_derived_cl2322, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 16.01/2.92 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl2321, '16'])).
% 16.01/2.92 thf(zip_derived_cl2380, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 16.01/2.92 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl2379, '18'])).
% 16.01/2.92 thf(zip_derived_cl2438, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.92 X7 : $i, X8 : $i]:
% 16.01/2.92 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.92 X7 @ X8)),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl2437, '20'])).
% 16.01/2.92 thf(zip_derived_cl2499, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.92 X7 : $i, X8 : $i, X9 : $i]:
% 16.01/2.92 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.92 X7 @ X8 @ X9)),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl2498, '34'])).
% 16.01/2.92 thf(zip_derived_cl2577, plain,
% 16.01/2.92 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.92 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 16.01/2.92 ( (ssPv17_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.92 X6 @ X7 @ X8 @ X9)
% 16.01/2.92 | ~ (ssPv17_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.92 X5 @ X6 @ X7 @ X8 @ X9 @ X10)))
% 16.01/2.92 <= ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.92 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 16.01/2.92 (~ (ssNder1_1r1 @ X0)
% 16.01/2.92 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.92 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.92 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.92 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.92 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.92 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.92 X6)
% 16.01/2.92 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.92 X5 @ X6 @ X7)
% 16.01/2.92 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.92 X5 @ X6 @ X7 @ X8)
% 16.01/2.92 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.92 X4 @ X5 @ X6 @ X7 @ X8 @ X9)
% 16.01/2.92 | (ssPv17_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.92 X5 @ X6 @ X7 @ X8 @ X9)
% 16.01/2.92 | ~ (ssPv17_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.92 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10))))),
% 16.01/2.92 inference('demod', [status(thm)],
% 16.01/2.92 [zip_derived_cl882, zip_derived_cl1634, zip_derived_cl1646,
% 16.01/2.92 zip_derived_cl1717, zip_derived_cl1805, zip_derived_cl1967,
% 16.01/2.92 zip_derived_cl2176, zip_derived_cl2322, zip_derived_cl2380,
% 16.01/2.92 zip_derived_cl2438, zip_derived_cl2499])).
% 16.01/2.92 thf('93', plain,
% 16.01/2.92 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.92 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 16.01/2.92 (~ (ssNder1_1r1 @ X0)
% 16.01/2.92 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.92 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.92 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.92 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.92 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.92 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.92 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.92 X7)
% 16.01/2.92 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.92 X6 @ X7 @ X8)
% 16.01/2.92 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.92 X6 @ X7 @ X8 @ X9)
% 16.01/2.92 | (ssPv17_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.92 X6 @ X7 @ X8 @ X9)
% 16.01/2.92 | ~ (ssPv17_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.92 X5 @ X6 @ X7 @ X8 @ X9 @ X10))) |
% 16.01/2.92 ~ ( (ssNder1_0))),
% 16.01/2.92 inference('split', [status(esa)], [zip_derived_cl170])).
% 16.01/2.92 thf('94', plain,
% 16.01/2.92 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.92 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 16.01/2.92 (~ (ssNder1_1r1 @ X0)
% 16.01/2.92 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.92 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.92 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.92 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.92 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.92 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.92 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.92 X7)
% 16.01/2.92 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.92 X6 @ X7 @ X8)
% 16.01/2.92 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.92 X6 @ X7 @ X8 @ X9)
% 16.01/2.92 | (ssPv17_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.92 X6 @ X7 @ X8 @ X9)
% 16.01/2.92 | ~ (ssPv17_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.92 X5 @ X6 @ X7 @ X8 @ X9 @ X10)))),
% 16.01/2.92 inference('sat_resolution*', [status(thm)], ['0', '93'])).
% 16.01/2.92 thf(zip_derived_cl2578, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.92 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 16.01/2.92 ( (ssPv17_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.92 X7 @ X8 @ X9)
% 16.01/2.92 | ~ (ssPv17_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.92 X6 @ X7 @ X8 @ X9 @ X10))),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl2577, '94'])).
% 16.01/2.92 thf(zip_derived_cl3684, plain,
% 16.01/2.92 (![X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i,
% 16.01/2.92 X8 : $i, X9 : $i, X10 : $i]:
% 16.01/2.92 (~ (ssPv11_10r1r1r1r1r1r1r1r1r1r1 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @
% 16.01/2.92 X4 @ X3 @ X2 @ X1)
% 16.01/2.92 | (ssPv17_10r1r1r1r1r1r1r1r1r1r1 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @
% 16.01/2.92 X4 @ X3 @ X2 @ X1))),
% 16.01/2.92 inference('s_sup-', [status(thm)],
% 16.01/2.92 [zip_derived_cl3682, zip_derived_cl2578])).
% 16.01/2.92 thf(zip_derived_cl3642, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.92 X7 : $i, X8 : $i, X9 : $i]:
% 16.01/2.92 ( (ssPv13_8r1r1r1r1r1r1r1r1 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1)
% 16.01/2.92 | (ssPv14_10r1r1r1r1r1r1r1r1r1r1 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @
% 16.01/2.92 X2 @ X1 @ X0 @ X9)
% 16.01/2.92 | (ssPv11_10r1r1r1r1r1r1r1r1r1r1 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @
% 16.01/2.92 X2 @ X1 @ X0 @ X9)
% 16.01/2.92 | (ssPv15_8r1r1r1r1r1r1r1r1 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1))),
% 16.01/2.92 inference('s_sup-', [status(thm)],
% 16.01/2.92 [zip_derived_cl3630, zip_derived_cl2459])).
% 16.01/2.92 thf(zip_derived_cl3691, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.92 X7 : $i, X8 : $i, X9 : $i]:
% 16.01/2.92 ( (ssPv17_10r1r1r1r1r1r1r1r1r1r1 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @
% 16.01/2.92 X2 @ X1 @ X0)
% 16.01/2.92 | (ssPv13_8r1r1r1r1r1r1r1r1 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2)
% 16.01/2.92 | (ssPv14_10r1r1r1r1r1r1r1r1r1r1 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @
% 16.01/2.92 X3 @ X2 @ X1 @ X0)
% 16.01/2.92 | (ssPv15_8r1r1r1r1r1r1r1r1 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2))),
% 16.01/2.92 inference('s_sup+', [status(thm)],
% 16.01/2.92 [zip_derived_cl3684, zip_derived_cl3642])).
% 16.01/2.92 thf(clause160, conjecture,
% 16.01/2.92 (~( ( ssPv14_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) |
% 16.01/2.92 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 16.01/2.92 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 16.01/2.92 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 16.01/2.92 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 16.01/2.92 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 16.01/2.92 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 16.01/2.92 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 16.01/2.92 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 16.01/2.92 ( ~( ssPv14_10r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.92 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 16.01/2.92 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) ))).
% 16.01/2.92 thf(zf_stmt_48, negated_conjecture,
% 16.01/2.92 (( ssPv14_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) |
% 16.01/2.92 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 16.01/2.92 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 16.01/2.92 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 16.01/2.92 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 16.01/2.92 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 16.01/2.92 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 16.01/2.92 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 16.01/2.92 ( ~( ssPv14_10r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.92 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 16.01/2.92 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) )),
% 16.01/2.92 inference('cnf.neg', [status(esa)], [clause160])).
% 16.01/2.92 thf(zip_derived_cl159, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.92 X7 : $i, X8 : $i, X9 : $i]:
% 16.01/2.92 ( (ssPv14_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.92 X7 @ X8)
% 16.01/2.92 | ~ (ssNder1_0)
% 16.01/2.92 | ~ (ssNder1_1r1 @ X0)
% 16.01/2.92 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.92 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.92 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.92 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.92 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.92 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.92 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.92 X7)
% 16.01/2.92 | ~ (ssPv14_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.92 X6 @ X7 @ X8 @ X9)
% 16.01/2.92 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.92 X6 @ X7 @ X8))),
% 16.01/2.92 inference('cnf', [status(esa)], [zf_stmt_48])).
% 16.01/2.92 thf(zip_derived_cl860, plain,
% 16.01/2.92 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.92 X7 : $i, X8 : $i, X9 : $i]:
% 16.01/2.92 (~ (ssNder1_1r1 @ X0)
% 16.01/2.92 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.92 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.92 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.92 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.92 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.92 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.92 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.92 X7)
% 16.01/2.92 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.92 X6 @ X7 @ X8)
% 16.01/2.92 | (ssPv14_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.92 X7 @ X8)
% 16.01/2.92 | ~ (ssPv14_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.92 X6 @ X7 @ X8 @ X9)))
% 16.01/2.92 <= ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.92 X7 : $i, X8 : $i, X9 : $i]:
% 16.01/2.92 (~ (ssNder1_1r1 @ X0)
% 16.01/2.92 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.92 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.92 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.92 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.92 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.92 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.92 X6)
% 16.01/2.92 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.92 X5 @ X6 @ X7)
% 16.01/2.92 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.92 X5 @ X6 @ X7 @ X8)
% 16.01/2.92 | (ssPv14_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.92 X5 @ X6 @ X7 @ X8)
% 16.01/2.92 | ~ (ssPv14_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.92 X5 @ X6 @ X7 @ X8 @ X9))))),
% 16.01/2.92 inference('split', [status(esa)], [zip_derived_cl159])).
% 16.01/2.92 thf(zip_derived_cl1634, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl544, '2'])).
% 16.01/2.92 thf(zip_derived_cl1646, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl1645, '4'])).
% 16.01/2.92 thf(zip_derived_cl1717, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl1716, '6'])).
% 16.01/2.92 thf(zip_derived_cl1805, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 16.01/2.92 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl1804, '10'])).
% 16.01/2.92 thf(zip_derived_cl1967, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 16.01/2.92 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl1966, '12'])).
% 16.01/2.92 thf(zip_derived_cl2176, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 16.01/2.92 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl2175, '14'])).
% 16.01/2.92 thf(zip_derived_cl2322, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 16.01/2.92 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl2321, '16'])).
% 16.01/2.92 thf(zip_derived_cl2380, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 16.01/2.92 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl2379, '18'])).
% 16.01/2.92 thf(zip_derived_cl2438, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.92 X7 : $i, X8 : $i]:
% 16.01/2.92 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.92 X7 @ X8)),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl2437, '20'])).
% 16.01/2.92 thf(zip_derived_cl2532, plain,
% 16.01/2.92 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.92 X7 : $i, X8 : $i, X9 : $i]:
% 16.01/2.92 ( (ssPv14_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.92 X7 @ X8)
% 16.01/2.92 | ~ (ssPv14_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.92 X6 @ X7 @ X8 @ X9)))
% 16.01/2.92 <= ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.92 X7 : $i, X8 : $i, X9 : $i]:
% 16.01/2.92 (~ (ssNder1_1r1 @ X0)
% 16.01/2.92 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.92 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.92 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.92 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.92 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.92 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.92 X6)
% 16.01/2.92 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.92 X5 @ X6 @ X7)
% 16.01/2.92 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.92 X5 @ X6 @ X7 @ X8)
% 16.01/2.92 | (ssPv14_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.92 X5 @ X6 @ X7 @ X8)
% 16.01/2.92 | ~ (ssPv14_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.92 X5 @ X6 @ X7 @ X8 @ X9))))),
% 16.01/2.92 inference('demod', [status(thm)],
% 16.01/2.92 [zip_derived_cl860, zip_derived_cl1634, zip_derived_cl1646,
% 16.01/2.92 zip_derived_cl1717, zip_derived_cl1805, zip_derived_cl1967,
% 16.01/2.92 zip_derived_cl2176, zip_derived_cl2322, zip_derived_cl2380,
% 16.01/2.92 zip_derived_cl2438])).
% 16.01/2.92 thf('95', plain,
% 16.01/2.92 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.92 X7 : $i, X8 : $i, X9 : $i]:
% 16.01/2.92 (~ (ssNder1_1r1 @ X0)
% 16.01/2.92 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.92 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.92 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.92 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.92 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.92 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.92 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.92 X7)
% 16.01/2.92 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.92 X6 @ X7 @ X8)
% 16.01/2.92 | (ssPv14_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.92 X7 @ X8)
% 16.01/2.92 | ~ (ssPv14_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.92 X6 @ X7 @ X8 @ X9))) |
% 16.01/2.92 ~ ( (ssNder1_0))),
% 16.01/2.92 inference('split', [status(esa)], [zip_derived_cl159])).
% 16.01/2.92 thf('96', plain,
% 16.01/2.92 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.92 X7 : $i, X8 : $i, X9 : $i]:
% 16.01/2.92 (~ (ssNder1_1r1 @ X0)
% 16.01/2.92 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.92 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.92 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.92 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.92 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.92 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.92 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.92 X7)
% 16.01/2.92 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.92 X6 @ X7 @ X8)
% 16.01/2.92 | (ssPv14_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.92 X7 @ X8)
% 16.01/2.92 | ~ (ssPv14_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.92 X6 @ X7 @ X8 @ X9)))),
% 16.01/2.92 inference('sat_resolution*', [status(thm)], ['0', '95'])).
% 16.01/2.92 thf(zip_derived_cl2533, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.92 X7 : $i, X8 : $i, X9 : $i]:
% 16.01/2.92 ( (ssPv14_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.92 X7 @ X8)
% 16.01/2.92 | ~ (ssPv14_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.92 X6 @ X7 @ X8 @ X9))),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl2532, '96'])).
% 16.01/2.92 thf(zip_derived_cl3719, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.92 X7 : $i, X8 : $i, X9 : $i]:
% 16.01/2.92 ( (ssPv15_8r1r1r1r1r1r1r1r1 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2)
% 16.01/2.92 | (ssPv13_8r1r1r1r1r1r1r1r1 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2)
% 16.01/2.92 | (ssPv17_10r1r1r1r1r1r1r1r1r1r1 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @
% 16.01/2.92 X3 @ X2 @ X1 @ X0)
% 16.01/2.92 | (ssPv14_9r1r1r1r1r1r1r1r1r1 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @
% 16.01/2.92 X2 @ X1))),
% 16.01/2.92 inference('s_sup-', [status(thm)],
% 16.01/2.92 [zip_derived_cl3691, zip_derived_cl2533])).
% 16.01/2.92 thf(clause157, conjecture,
% 16.01/2.92 (~( ( ssPv17_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) |
% 16.01/2.92 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 16.01/2.92 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 16.01/2.92 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 16.01/2.92 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 16.01/2.92 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 16.01/2.92 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 16.01/2.92 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 16.01/2.92 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 16.01/2.92 ( ~( ssPv17_10r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.92 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 16.01/2.92 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) ))).
% 16.01/2.92 thf(zf_stmt_49, negated_conjecture,
% 16.01/2.92 (( ssPv17_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) |
% 16.01/2.92 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 16.01/2.92 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 16.01/2.92 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 16.01/2.92 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 16.01/2.92 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 16.01/2.92 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 16.01/2.92 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 16.01/2.92 ( ~( ssPv17_10r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.92 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 16.01/2.92 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) )),
% 16.01/2.92 inference('cnf.neg', [status(esa)], [clause157])).
% 16.01/2.92 thf(zip_derived_cl156, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.92 X7 : $i, X8 : $i, X9 : $i]:
% 16.01/2.92 ( (ssPv17_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.92 X7 @ X8)
% 16.01/2.92 | ~ (ssNder1_0)
% 16.01/2.92 | ~ (ssNder1_1r1 @ X0)
% 16.01/2.92 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.92 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.92 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.92 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.92 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.92 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.92 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.92 X7)
% 16.01/2.92 | ~ (ssPv17_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.92 X6 @ X7 @ X8 @ X9)
% 16.01/2.92 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.92 X6 @ X7 @ X8))),
% 16.01/2.92 inference('cnf', [status(esa)], [zf_stmt_49])).
% 16.01/2.92 thf(zip_derived_cl854, plain,
% 16.01/2.92 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.92 X7 : $i, X8 : $i, X9 : $i]:
% 16.01/2.92 (~ (ssNder1_1r1 @ X0)
% 16.01/2.92 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.92 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.92 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.92 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.92 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.92 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.92 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.92 X7)
% 16.01/2.92 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.92 X6 @ X7 @ X8)
% 16.01/2.92 | (ssPv17_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.92 X7 @ X8)
% 16.01/2.92 | ~ (ssPv17_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.92 X6 @ X7 @ X8 @ X9)))
% 16.01/2.92 <= ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.92 X7 : $i, X8 : $i, X9 : $i]:
% 16.01/2.92 (~ (ssNder1_1r1 @ X0)
% 16.01/2.92 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.92 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.92 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.92 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.92 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.92 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.92 X6)
% 16.01/2.92 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.92 X5 @ X6 @ X7)
% 16.01/2.92 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.92 X5 @ X6 @ X7 @ X8)
% 16.01/2.92 | (ssPv17_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.92 X5 @ X6 @ X7 @ X8)
% 16.01/2.92 | ~ (ssPv17_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.92 X5 @ X6 @ X7 @ X8 @ X9))))),
% 16.01/2.92 inference('split', [status(esa)], [zip_derived_cl156])).
% 16.01/2.92 thf(zip_derived_cl1634, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl544, '2'])).
% 16.01/2.92 thf(zip_derived_cl1646, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl1645, '4'])).
% 16.01/2.92 thf(zip_derived_cl1717, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl1716, '6'])).
% 16.01/2.92 thf(zip_derived_cl1805, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 16.01/2.92 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl1804, '10'])).
% 16.01/2.92 thf(zip_derived_cl1967, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 16.01/2.92 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl1966, '12'])).
% 16.01/2.92 thf(zip_derived_cl2176, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 16.01/2.92 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl2175, '14'])).
% 16.01/2.92 thf(zip_derived_cl2322, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 16.01/2.92 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl2321, '16'])).
% 16.01/2.92 thf(zip_derived_cl2380, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 16.01/2.92 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl2379, '18'])).
% 16.01/2.92 thf(zip_derived_cl2438, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.92 X7 : $i, X8 : $i]:
% 16.01/2.92 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.92 X7 @ X8)),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl2437, '20'])).
% 16.01/2.92 thf(zip_derived_cl2522, plain,
% 16.01/2.92 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.92 X7 : $i, X8 : $i, X9 : $i]:
% 16.01/2.92 ( (ssPv17_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.92 X7 @ X8)
% 16.01/2.92 | ~ (ssPv17_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.92 X6 @ X7 @ X8 @ X9)))
% 16.01/2.92 <= ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.92 X7 : $i, X8 : $i, X9 : $i]:
% 16.01/2.92 (~ (ssNder1_1r1 @ X0)
% 16.01/2.92 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.92 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.92 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.92 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.92 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.92 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.92 X6)
% 16.01/2.92 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.92 X5 @ X6 @ X7)
% 16.01/2.92 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.92 X5 @ X6 @ X7 @ X8)
% 16.01/2.92 | (ssPv17_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.92 X5 @ X6 @ X7 @ X8)
% 16.01/2.92 | ~ (ssPv17_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.92 X5 @ X6 @ X7 @ X8 @ X9))))),
% 16.01/2.92 inference('demod', [status(thm)],
% 16.01/2.92 [zip_derived_cl854, zip_derived_cl1634, zip_derived_cl1646,
% 16.01/2.92 zip_derived_cl1717, zip_derived_cl1805, zip_derived_cl1967,
% 16.01/2.92 zip_derived_cl2176, zip_derived_cl2322, zip_derived_cl2380,
% 16.01/2.92 zip_derived_cl2438])).
% 16.01/2.92 thf('97', plain,
% 16.01/2.92 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.92 X7 : $i, X8 : $i, X9 : $i]:
% 16.01/2.92 (~ (ssNder1_1r1 @ X0)
% 16.01/2.92 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.92 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.92 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.92 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.92 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.92 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.92 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.92 X7)
% 16.01/2.92 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.92 X6 @ X7 @ X8)
% 16.01/2.92 | (ssPv17_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.92 X7 @ X8)
% 16.01/2.92 | ~ (ssPv17_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.92 X6 @ X7 @ X8 @ X9))) |
% 16.01/2.92 ~ ( (ssNder1_0))),
% 16.01/2.92 inference('split', [status(esa)], [zip_derived_cl156])).
% 16.01/2.92 thf('98', plain,
% 16.01/2.92 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.92 X7 : $i, X8 : $i, X9 : $i]:
% 16.01/2.92 (~ (ssNder1_1r1 @ X0)
% 16.01/2.92 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.92 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.92 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.92 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.92 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.92 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.92 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.92 X7)
% 16.01/2.92 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.92 X6 @ X7 @ X8)
% 16.01/2.92 | (ssPv17_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.92 X7 @ X8)
% 16.01/2.92 | ~ (ssPv17_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.92 X6 @ X7 @ X8 @ X9)))),
% 16.01/2.92 inference('sat_resolution*', [status(thm)], ['0', '97'])).
% 16.01/2.92 thf(zip_derived_cl2523, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.92 X7 : $i, X8 : $i, X9 : $i]:
% 16.01/2.92 ( (ssPv17_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.92 X7 @ X8)
% 16.01/2.92 | ~ (ssPv17_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.92 X6 @ X7 @ X8 @ X9))),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl2522, '98'])).
% 16.01/2.92 thf(zip_derived_cl3728, plain,
% 16.01/2.92 (![X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i,
% 16.01/2.92 X8 : $i, X9 : $i]:
% 16.01/2.92 ( (ssPv14_9r1r1r1r1r1r1r1r1r1 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @
% 16.01/2.92 X2 @ X1)
% 16.01/2.92 | (ssPv13_8r1r1r1r1r1r1r1r1 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2)
% 16.01/2.92 | (ssPv15_8r1r1r1r1r1r1r1r1 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2)
% 16.01/2.92 | (ssPv17_9r1r1r1r1r1r1r1r1r1 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @
% 16.01/2.92 X2 @ X1))),
% 16.01/2.92 inference('s_sup-', [status(thm)],
% 16.01/2.92 [zip_derived_cl3719, zip_derived_cl2523])).
% 16.01/2.92 thf(clause127, conjecture,
% 16.01/2.92 (~( ( ssPv17_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) |
% 16.01/2.92 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 16.01/2.92 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 16.01/2.92 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 16.01/2.92 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 16.01/2.92 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 16.01/2.92 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 16.01/2.92 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 16.01/2.92 ( ~( ssPv17_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 16.01/2.92 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) ))).
% 16.01/2.92 thf(zf_stmt_50, negated_conjecture,
% 16.01/2.92 (( ssPv17_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) |
% 16.01/2.92 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 16.01/2.92 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 16.01/2.92 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 16.01/2.92 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 16.01/2.92 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 16.01/2.92 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 16.01/2.92 ( ~( ssPv17_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 16.01/2.92 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) )),
% 16.01/2.92 inference('cnf.neg', [status(esa)], [clause127])).
% 16.01/2.92 thf(zip_derived_cl126, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.92 X7 : $i, X8 : $i]:
% 16.01/2.92 ( (ssPv17_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)
% 16.01/2.92 | ~ (ssNder1_0)
% 16.01/2.92 | ~ (ssNder1_1r1 @ X0)
% 16.01/2.92 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.92 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.92 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.92 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.92 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.92 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.92 | ~ (ssPv17_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.92 X7 @ X8)
% 16.01/2.92 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.92 X7))),
% 16.01/2.92 inference('cnf', [status(esa)], [zf_stmt_50])).
% 16.01/2.92 thf(zip_derived_cl794, plain,
% 16.01/2.92 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.92 X7 : $i, X8 : $i]:
% 16.01/2.92 (~ (ssNder1_1r1 @ X0)
% 16.01/2.92 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.92 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.92 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.92 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.92 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.92 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.92 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.92 X7)
% 16.01/2.92 | (ssPv17_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)
% 16.01/2.92 | ~ (ssPv17_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.92 X6 @ X7 @ X8)))
% 16.01/2.92 <= ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.92 X7 : $i, X8 : $i]:
% 16.01/2.92 (~ (ssNder1_1r1 @ X0)
% 16.01/2.92 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.92 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.92 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.92 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.92 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.92 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.92 X6)
% 16.01/2.92 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.92 X5 @ X6 @ X7)
% 16.01/2.92 | (ssPv17_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.92 X6 @ X7)
% 16.01/2.92 | ~ (ssPv17_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.92 X5 @ X6 @ X7 @ X8))))),
% 16.01/2.92 inference('split', [status(esa)], [zip_derived_cl126])).
% 16.01/2.92 thf(zip_derived_cl1634, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl544, '2'])).
% 16.01/2.92 thf(zip_derived_cl1646, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl1645, '4'])).
% 16.01/2.92 thf(zip_derived_cl1717, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl1716, '6'])).
% 16.01/2.92 thf(zip_derived_cl1805, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 16.01/2.92 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl1804, '10'])).
% 16.01/2.92 thf(zip_derived_cl1967, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 16.01/2.92 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl1966, '12'])).
% 16.01/2.92 thf(zip_derived_cl2176, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 16.01/2.92 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl2175, '14'])).
% 16.01/2.92 thf(zip_derived_cl2322, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 16.01/2.92 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl2321, '16'])).
% 16.01/2.92 thf(zip_derived_cl2380, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 16.01/2.92 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl2379, '18'])).
% 16.01/2.92 thf(zip_derived_cl2451, plain,
% 16.01/2.92 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.92 X7 : $i, X8 : $i]:
% 16.01/2.92 ( (ssPv17_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)
% 16.01/2.92 | ~ (ssPv17_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.92 X6 @ X7 @ X8)))
% 16.01/2.92 <= ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.92 X7 : $i, X8 : $i]:
% 16.01/2.92 (~ (ssNder1_1r1 @ X0)
% 16.01/2.92 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.92 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.92 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.92 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.92 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.92 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.92 X6)
% 16.01/2.92 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.92 X5 @ X6 @ X7)
% 16.01/2.92 | (ssPv17_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.92 X6 @ X7)
% 16.01/2.92 | ~ (ssPv17_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.92 X5 @ X6 @ X7 @ X8))))),
% 16.01/2.92 inference('demod', [status(thm)],
% 16.01/2.92 [zip_derived_cl794, zip_derived_cl1634, zip_derived_cl1646,
% 16.01/2.92 zip_derived_cl1717, zip_derived_cl1805, zip_derived_cl1967,
% 16.01/2.92 zip_derived_cl2176, zip_derived_cl2322, zip_derived_cl2380])).
% 16.01/2.92 thf('99', plain,
% 16.01/2.92 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.92 X7 : $i, X8 : $i]:
% 16.01/2.92 (~ (ssNder1_1r1 @ X0)
% 16.01/2.92 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.92 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.92 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.92 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.92 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.92 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.92 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.92 X7)
% 16.01/2.92 | (ssPv17_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)
% 16.01/2.92 | ~ (ssPv17_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.92 X6 @ X7 @ X8))) |
% 16.01/2.92 ~ ( (ssNder1_0))),
% 16.01/2.92 inference('split', [status(esa)], [zip_derived_cl126])).
% 16.01/2.92 thf('100', plain,
% 16.01/2.92 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.92 X7 : $i, X8 : $i]:
% 16.01/2.92 (~ (ssNder1_1r1 @ X0)
% 16.01/2.92 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.92 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.92 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.92 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.92 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.92 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.92 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.92 X7)
% 16.01/2.92 | (ssPv17_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)
% 16.01/2.92 | ~ (ssPv17_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.92 X6 @ X7 @ X8)))),
% 16.01/2.92 inference('sat_resolution*', [status(thm)], ['0', '99'])).
% 16.01/2.92 thf(zip_derived_cl2452, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.92 X7 : $i, X8 : $i]:
% 16.01/2.92 ( (ssPv17_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)
% 16.01/2.92 | ~ (ssPv17_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.92 X7 @ X8))),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl2451, '100'])).
% 16.01/2.92 thf(zip_derived_cl3731, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.92 X7 : $i, X8 : $i]:
% 16.01/2.92 ( (ssPv15_8r1r1r1r1r1r1r1r1 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1)
% 16.01/2.92 | (ssPv13_8r1r1r1r1r1r1r1r1 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1)
% 16.01/2.92 | (ssPv14_9r1r1r1r1r1r1r1r1r1 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @
% 16.01/2.92 X1 @ X0)
% 16.01/2.92 | (ssPv17_8r1r1r1r1r1r1r1r1 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1))),
% 16.01/2.92 inference('s_sup-', [status(thm)],
% 16.01/2.92 [zip_derived_cl3728, zip_derived_cl2452])).
% 16.01/2.92 thf(clause130, conjecture,
% 16.01/2.92 (~( ( ssPv14_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) |
% 16.01/2.92 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 16.01/2.92 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 16.01/2.92 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 16.01/2.92 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 16.01/2.92 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 16.01/2.92 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 16.01/2.92 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 16.01/2.92 ( ~( ssPv14_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 16.01/2.92 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) ))).
% 16.01/2.92 thf(zf_stmt_51, negated_conjecture,
% 16.01/2.92 (( ssPv14_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) |
% 16.01/2.92 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 16.01/2.92 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 16.01/2.92 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 16.01/2.92 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 16.01/2.92 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 16.01/2.92 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 16.01/2.92 ( ~( ssPv14_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 16.01/2.92 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) )),
% 16.01/2.92 inference('cnf.neg', [status(esa)], [clause130])).
% 16.01/2.92 thf(zip_derived_cl129, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.92 X7 : $i, X8 : $i]:
% 16.01/2.92 ( (ssPv14_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)
% 16.01/2.92 | ~ (ssNder1_0)
% 16.01/2.92 | ~ (ssNder1_1r1 @ X0)
% 16.01/2.92 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.92 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.92 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.92 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.92 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.92 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.92 | ~ (ssPv14_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.92 X7 @ X8)
% 16.01/2.92 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.92 X7))),
% 16.01/2.92 inference('cnf', [status(esa)], [zf_stmt_51])).
% 16.01/2.92 thf(zip_derived_cl800, plain,
% 16.01/2.92 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.92 X7 : $i, X8 : $i]:
% 16.01/2.92 (~ (ssNder1_1r1 @ X0)
% 16.01/2.92 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.92 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.92 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.92 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.92 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.92 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.92 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.92 X7)
% 16.01/2.92 | (ssPv14_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)
% 16.01/2.92 | ~ (ssPv14_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.92 X6 @ X7 @ X8)))
% 16.01/2.92 <= ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.92 X7 : $i, X8 : $i]:
% 16.01/2.92 (~ (ssNder1_1r1 @ X0)
% 16.01/2.92 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.92 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.92 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.92 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.92 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.92 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.92 X6)
% 16.01/2.92 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.92 X5 @ X6 @ X7)
% 16.01/2.92 | (ssPv14_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.92 X6 @ X7)
% 16.01/2.92 | ~ (ssPv14_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.92 X5 @ X6 @ X7 @ X8))))),
% 16.01/2.92 inference('split', [status(esa)], [zip_derived_cl129])).
% 16.01/2.92 thf(zip_derived_cl1634, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl544, '2'])).
% 16.01/2.92 thf(zip_derived_cl1646, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl1645, '4'])).
% 16.01/2.92 thf(zip_derived_cl1717, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl1716, '6'])).
% 16.01/2.92 thf(zip_derived_cl1805, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 16.01/2.92 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl1804, '10'])).
% 16.01/2.92 thf(zip_derived_cl1967, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 16.01/2.92 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl1966, '12'])).
% 16.01/2.92 thf(zip_derived_cl2176, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 16.01/2.92 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl2175, '14'])).
% 16.01/2.92 thf(zip_derived_cl2322, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 16.01/2.92 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl2321, '16'])).
% 16.01/2.92 thf(zip_derived_cl2380, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 16.01/2.92 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl2379, '18'])).
% 16.01/2.92 thf(zip_derived_cl2460, plain,
% 16.01/2.92 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.92 X7 : $i, X8 : $i]:
% 16.01/2.92 ( (ssPv14_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)
% 16.01/2.92 | ~ (ssPv14_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.92 X6 @ X7 @ X8)))
% 16.01/2.92 <= ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.92 X7 : $i, X8 : $i]:
% 16.01/2.92 (~ (ssNder1_1r1 @ X0)
% 16.01/2.92 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.92 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.92 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.92 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.92 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.92 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.92 X6)
% 16.01/2.92 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.92 X5 @ X6 @ X7)
% 16.01/2.92 | (ssPv14_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.92 X6 @ X7)
% 16.01/2.92 | ~ (ssPv14_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.92 X5 @ X6 @ X7 @ X8))))),
% 16.01/2.92 inference('demod', [status(thm)],
% 16.01/2.92 [zip_derived_cl800, zip_derived_cl1634, zip_derived_cl1646,
% 16.01/2.92 zip_derived_cl1717, zip_derived_cl1805, zip_derived_cl1967,
% 16.01/2.92 zip_derived_cl2176, zip_derived_cl2322, zip_derived_cl2380])).
% 16.01/2.92 thf('101', plain,
% 16.01/2.92 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.92 X7 : $i, X8 : $i]:
% 16.01/2.92 (~ (ssNder1_1r1 @ X0)
% 16.01/2.92 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.92 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.92 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.92 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.92 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.92 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.92 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.92 X7)
% 16.01/2.92 | (ssPv14_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)
% 16.01/2.92 | ~ (ssPv14_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.92 X6 @ X7 @ X8))) |
% 16.01/2.92 ~ ( (ssNder1_0))),
% 16.01/2.92 inference('split', [status(esa)], [zip_derived_cl129])).
% 16.01/2.92 thf('102', plain,
% 16.01/2.92 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.92 X7 : $i, X8 : $i]:
% 16.01/2.92 (~ (ssNder1_1r1 @ X0)
% 16.01/2.92 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.92 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.92 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.92 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.92 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.92 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.92 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.92 X7)
% 16.01/2.92 | (ssPv14_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)
% 16.01/2.92 | ~ (ssPv14_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.92 X6 @ X7 @ X8)))),
% 16.01/2.92 inference('sat_resolution*', [status(thm)], ['0', '101'])).
% 16.01/2.92 thf(zip_derived_cl2461, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.92 X7 : $i, X8 : $i]:
% 16.01/2.92 ( (ssPv14_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)
% 16.01/2.92 | ~ (ssPv14_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.92 X7 @ X8))),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl2460, '102'])).
% 16.01/2.92 thf(zip_derived_cl3733, plain,
% 16.01/2.92 (![X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i, X8 : $i]:
% 16.01/2.92 ( (ssPv17_8r1r1r1r1r1r1r1r1 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1)
% 16.01/2.92 | (ssPv13_8r1r1r1r1r1r1r1r1 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1)
% 16.01/2.92 | (ssPv15_8r1r1r1r1r1r1r1r1 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1)
% 16.01/2.92 | (ssPv14_8r1r1r1r1r1r1r1r1 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1))),
% 16.01/2.92 inference('s_sup-', [status(thm)],
% 16.01/2.92 [zip_derived_cl3731, zip_derived_cl2461])).
% 16.01/2.92 thf(clause101, conjecture,
% 16.01/2.92 (~( ( ssPv17_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) |
% 16.01/2.92 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 16.01/2.92 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 16.01/2.92 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 16.01/2.92 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 16.01/2.92 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 16.01/2.92 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 16.01/2.92 ( ~( ssPv17_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 16.01/2.92 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) ))).
% 16.01/2.92 thf(zf_stmt_52, negated_conjecture,
% 16.01/2.92 (( ssPv17_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) |
% 16.01/2.92 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 16.01/2.92 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 16.01/2.92 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 16.01/2.92 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 16.01/2.92 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 16.01/2.92 ( ~( ssPv17_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 16.01/2.92 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) )),
% 16.01/2.92 inference('cnf.neg', [status(esa)], [clause101])).
% 16.01/2.92 thf(zip_derived_cl100, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 16.01/2.92 ( (ssPv17_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.92 | ~ (ssNder1_0)
% 16.01/2.92 | ~ (ssNder1_1r1 @ X0)
% 16.01/2.92 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.92 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.92 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.92 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.92 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.92 | ~ (ssPv17_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)
% 16.01/2.92 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6))),
% 16.01/2.92 inference('cnf', [status(esa)], [zf_stmt_52])).
% 16.01/2.92 thf(zip_derived_cl742, plain,
% 16.01/2.92 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.92 X7 : $i]:
% 16.01/2.92 (~ (ssNder1_1r1 @ X0)
% 16.01/2.92 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.92 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.92 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.92 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.92 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.92 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.92 | (ssPv17_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.92 | ~ (ssPv17_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.92 X7)))
% 16.01/2.92 <= ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.92 X7 : $i]:
% 16.01/2.92 (~ (ssNder1_1r1 @ X0)
% 16.01/2.92 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.92 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.92 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.92 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.92 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.92 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.92 X6)
% 16.01/2.92 | (ssPv17_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.92 | ~ (ssPv17_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.92 X6 @ X7))))),
% 16.01/2.92 inference('split', [status(esa)], [zip_derived_cl100])).
% 16.01/2.92 thf(zip_derived_cl1634, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl544, '2'])).
% 16.01/2.92 thf(zip_derived_cl1646, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl1645, '4'])).
% 16.01/2.92 thf(zip_derived_cl1717, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl1716, '6'])).
% 16.01/2.92 thf(zip_derived_cl1805, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 16.01/2.92 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl1804, '10'])).
% 16.01/2.92 thf(zip_derived_cl1967, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 16.01/2.92 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl1966, '12'])).
% 16.01/2.92 thf(zip_derived_cl2176, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 16.01/2.92 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl2175, '14'])).
% 16.01/2.92 thf(zip_derived_cl2322, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 16.01/2.92 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl2321, '16'])).
% 16.01/2.92 thf(zip_derived_cl2403, plain,
% 16.01/2.92 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.92 X7 : $i]:
% 16.01/2.92 ( (ssPv17_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.92 | ~ (ssPv17_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.92 X7)))
% 16.01/2.92 <= ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.92 X7 : $i]:
% 16.01/2.92 (~ (ssNder1_1r1 @ X0)
% 16.01/2.92 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.92 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.92 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.92 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.92 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.92 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.92 X6)
% 16.01/2.92 | (ssPv17_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.92 | ~ (ssPv17_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.92 X6 @ X7))))),
% 16.01/2.92 inference('demod', [status(thm)],
% 16.01/2.92 [zip_derived_cl742, zip_derived_cl1634, zip_derived_cl1646,
% 16.01/2.92 zip_derived_cl1717, zip_derived_cl1805, zip_derived_cl1967,
% 16.01/2.92 zip_derived_cl2176, zip_derived_cl2322])).
% 16.01/2.92 thf('103', plain,
% 16.01/2.92 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.92 X7 : $i]:
% 16.01/2.92 (~ (ssNder1_1r1 @ X0)
% 16.01/2.92 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.92 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.92 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.92 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.92 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.92 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.92 | (ssPv17_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.92 | ~ (ssPv17_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.92 X7))) |
% 16.01/2.92 ~ ( (ssNder1_0))),
% 16.01/2.92 inference('split', [status(esa)], [zip_derived_cl100])).
% 16.01/2.92 thf('104', plain,
% 16.01/2.92 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.92 X7 : $i]:
% 16.01/2.92 (~ (ssNder1_1r1 @ X0)
% 16.01/2.92 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.92 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.92 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.92 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.92 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.92 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.92 | (ssPv17_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.92 | ~ (ssPv17_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.92 X7)))),
% 16.01/2.92 inference('sat_resolution*', [status(thm)], ['0', '103'])).
% 16.01/2.92 thf(zip_derived_cl2404, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 16.01/2.92 ( (ssPv17_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.92 | ~ (ssPv17_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7))),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl2403, '104'])).
% 16.01/2.92 thf(zip_derived_cl3734, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 16.01/2.92 ( (ssPv14_8r1r1r1r1r1r1r1r1 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 16.01/2.92 | (ssPv15_8r1r1r1r1r1r1r1r1 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 16.01/2.92 | (ssPv13_8r1r1r1r1r1r1r1r1 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 16.01/2.92 | (ssPv17_7r1r1r1r1r1r1r1 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1))),
% 16.01/2.92 inference('s_sup-', [status(thm)],
% 16.01/2.92 [zip_derived_cl3733, zip_derived_cl2404])).
% 16.01/2.92 thf(clause104, conjecture,
% 16.01/2.92 (~( ( ssPv14_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) |
% 16.01/2.92 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 16.01/2.92 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 16.01/2.92 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 16.01/2.92 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 16.01/2.92 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 16.01/2.92 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 16.01/2.92 ( ~( ssPv14_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 16.01/2.92 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) ))).
% 16.01/2.92 thf(zf_stmt_53, negated_conjecture,
% 16.01/2.92 (( ssPv14_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) |
% 16.01/2.92 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 16.01/2.92 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 16.01/2.92 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 16.01/2.92 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 16.01/2.92 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 16.01/2.92 ( ~( ssPv14_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 16.01/2.92 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) )),
% 16.01/2.92 inference('cnf.neg', [status(esa)], [clause104])).
% 16.01/2.92 thf(zip_derived_cl103, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 16.01/2.92 ( (ssPv14_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.92 | ~ (ssNder1_0)
% 16.01/2.92 | ~ (ssNder1_1r1 @ X0)
% 16.01/2.92 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.92 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.92 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.92 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.92 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.92 | ~ (ssPv14_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)
% 16.01/2.92 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6))),
% 16.01/2.92 inference('cnf', [status(esa)], [zf_stmt_53])).
% 16.01/2.92 thf(zip_derived_cl748, plain,
% 16.01/2.92 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.92 X7 : $i]:
% 16.01/2.92 (~ (ssNder1_1r1 @ X0)
% 16.01/2.92 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.92 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.92 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.92 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.92 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.92 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.92 | ~ (ssPv14_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.92 X7)
% 16.01/2.92 | (ssPv14_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)))
% 16.01/2.92 <= ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.92 X7 : $i]:
% 16.01/2.92 (~ (ssNder1_1r1 @ X0)
% 16.01/2.92 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.92 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.92 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.92 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.92 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.92 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.92 X6)
% 16.01/2.92 | ~ (ssPv14_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.92 X6 @ X7)
% 16.01/2.92 | (ssPv14_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6))))),
% 16.01/2.92 inference('split', [status(esa)], [zip_derived_cl103])).
% 16.01/2.92 thf(zip_derived_cl1634, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl544, '2'])).
% 16.01/2.92 thf(zip_derived_cl1646, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl1645, '4'])).
% 16.01/2.92 thf(zip_derived_cl1717, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl1716, '6'])).
% 16.01/2.92 thf(zip_derived_cl1805, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 16.01/2.92 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl1804, '10'])).
% 16.01/2.92 thf(zip_derived_cl1967, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 16.01/2.92 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl1966, '12'])).
% 16.01/2.92 thf(zip_derived_cl2176, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 16.01/2.92 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl2175, '14'])).
% 16.01/2.92 thf(zip_derived_cl2322, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 16.01/2.92 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl2321, '16'])).
% 16.01/2.92 thf(zip_derived_cl2410, plain,
% 16.01/2.92 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.92 X7 : $i]:
% 16.01/2.92 (~ (ssPv14_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)
% 16.01/2.92 | (ssPv14_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)))
% 16.01/2.92 <= ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.92 X7 : $i]:
% 16.01/2.92 (~ (ssNder1_1r1 @ X0)
% 16.01/2.92 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.92 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.92 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.92 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.92 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.92 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.92 X6)
% 16.01/2.92 | ~ (ssPv14_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.92 X6 @ X7)
% 16.01/2.92 | (ssPv14_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6))))),
% 16.01/2.92 inference('demod', [status(thm)],
% 16.01/2.92 [zip_derived_cl748, zip_derived_cl1634, zip_derived_cl1646,
% 16.01/2.92 zip_derived_cl1717, zip_derived_cl1805, zip_derived_cl1967,
% 16.01/2.92 zip_derived_cl2176, zip_derived_cl2322])).
% 16.01/2.92 thf('105', plain,
% 16.01/2.92 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.92 X7 : $i]:
% 16.01/2.92 (~ (ssNder1_1r1 @ X0)
% 16.01/2.92 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.92 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.92 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.92 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.92 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.92 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.92 | ~ (ssPv14_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.92 X7)
% 16.01/2.92 | (ssPv14_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6))) |
% 16.01/2.92 ~ ( (ssNder1_0))),
% 16.01/2.92 inference('split', [status(esa)], [zip_derived_cl103])).
% 16.01/2.92 thf('106', plain,
% 16.01/2.92 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.92 X7 : $i]:
% 16.01/2.92 (~ (ssNder1_1r1 @ X0)
% 16.01/2.92 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.92 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.92 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.92 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.92 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.92 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.92 | ~ (ssPv14_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.92 X7)
% 16.01/2.92 | (ssPv14_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)))),
% 16.01/2.92 inference('sat_resolution*', [status(thm)], ['0', '105'])).
% 16.01/2.92 thf(zip_derived_cl2411, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 16.01/2.92 (~ (ssPv14_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)
% 16.01/2.92 | (ssPv14_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6))),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl2410, '106'])).
% 16.01/2.92 thf(zip_derived_cl3737, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 16.01/2.92 ( (ssPv17_7r1r1r1r1r1r1r1 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1)
% 16.01/2.92 | (ssPv13_8r1r1r1r1r1r1r1r1 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 16.01/2.92 | (ssPv15_8r1r1r1r1r1r1r1r1 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 16.01/2.92 | (ssPv14_7r1r1r1r1r1r1r1 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1))),
% 16.01/2.92 inference('s_sup-', [status(thm)],
% 16.01/2.92 [zip_derived_cl3734, zip_derived_cl2411])).
% 16.01/2.92 thf(clause79, conjecture,
% 16.01/2.92 (~( ( ssPv17_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) |
% 16.01/2.92 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 16.01/2.92 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 16.01/2.92 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 16.01/2.92 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 16.01/2.92 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 16.01/2.92 ( ~( ssPv17_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 16.01/2.92 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) ))).
% 16.01/2.92 thf(zf_stmt_54, negated_conjecture,
% 16.01/2.92 (( ssPv17_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) | ( ~( ssNder1_0 ) ) |
% 16.01/2.92 ( ~( ssNder1_1r1 @ U ) ) | ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 16.01/2.92 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 16.01/2.92 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 16.01/2.92 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 16.01/2.92 ( ~( ssPv17_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 16.01/2.92 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) )),
% 16.01/2.92 inference('cnf.neg', [status(esa)], [clause79])).
% 16.01/2.92 thf(zip_derived_cl78, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 16.01/2.92 ( (ssPv17_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.92 | ~ (ssNder1_0)
% 16.01/2.92 | ~ (ssNder1_1r1 @ X0)
% 16.01/2.92 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.92 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.92 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.92 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.92 | ~ (ssPv17_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.92 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5))),
% 16.01/2.92 inference('cnf', [status(esa)], [zf_stmt_54])).
% 16.01/2.92 thf(zip_derived_cl698, plain,
% 16.01/2.92 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 16.01/2.92 (~ (ssNder1_1r1 @ X0)
% 16.01/2.92 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.92 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.92 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.92 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.92 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.92 | (ssPv17_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.92 | ~ (ssPv17_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)))
% 16.01/2.92 <= ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 16.01/2.92 (~ (ssNder1_1r1 @ X0)
% 16.01/2.92 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.92 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.92 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.92 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.92 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.92 | (ssPv17_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.92 | ~ (ssPv17_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6))))),
% 16.01/2.92 inference('split', [status(esa)], [zip_derived_cl78])).
% 16.01/2.92 thf(zip_derived_cl1634, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl544, '2'])).
% 16.01/2.92 thf(zip_derived_cl1646, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl1645, '4'])).
% 16.01/2.92 thf(zip_derived_cl1717, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl1716, '6'])).
% 16.01/2.92 thf(zip_derived_cl1805, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 16.01/2.92 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl1804, '10'])).
% 16.01/2.92 thf(zip_derived_cl1967, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 16.01/2.92 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl1966, '12'])).
% 16.01/2.92 thf(zip_derived_cl2176, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 16.01/2.92 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl2175, '14'])).
% 16.01/2.92 thf(zip_derived_cl2332, plain,
% 16.01/2.92 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 16.01/2.92 ( (ssPv17_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.92 | ~ (ssPv17_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)))
% 16.01/2.92 <= ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 16.01/2.92 (~ (ssNder1_1r1 @ X0)
% 16.01/2.92 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.92 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.92 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.92 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.92 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.92 | (ssPv17_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.92 | ~ (ssPv17_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6))))),
% 16.01/2.92 inference('demod', [status(thm)],
% 16.01/2.92 [zip_derived_cl698, zip_derived_cl1634, zip_derived_cl1646,
% 16.01/2.92 zip_derived_cl1717, zip_derived_cl1805, zip_derived_cl1967,
% 16.01/2.92 zip_derived_cl2176])).
% 16.01/2.92 thf('107', plain,
% 16.01/2.92 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 16.01/2.92 (~ (ssNder1_1r1 @ X0)
% 16.01/2.92 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.92 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.92 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.92 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.92 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.92 | (ssPv17_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.92 | ~ (ssPv17_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6))) |
% 16.01/2.92 ~ ( (ssNder1_0))),
% 16.01/2.92 inference('split', [status(esa)], [zip_derived_cl78])).
% 16.01/2.92 thf('108', plain,
% 16.01/2.92 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 16.01/2.92 (~ (ssNder1_1r1 @ X0)
% 16.01/2.92 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.92 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.92 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.92 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.92 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.92 | (ssPv17_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.92 | ~ (ssPv17_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)))),
% 16.01/2.92 inference('sat_resolution*', [status(thm)], ['0', '107'])).
% 16.01/2.92 thf(zip_derived_cl2333, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 16.01/2.92 ( (ssPv17_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.92 | ~ (ssPv17_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6))),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl2332, '108'])).
% 16.01/2.92 thf(zip_derived_cl3741, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 16.01/2.92 ( (ssPv14_7r1r1r1r1r1r1r1 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 16.01/2.92 | (ssPv15_8r1r1r1r1r1r1r1r1 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X7)
% 16.01/2.92 | (ssPv13_8r1r1r1r1r1r1r1r1 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X7)
% 16.01/2.92 | (ssPv17_6r1r1r1r1r1r1 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1))),
% 16.01/2.92 inference('s_sup-', [status(thm)],
% 16.01/2.92 [zip_derived_cl3737, zip_derived_cl2333])).
% 16.01/2.92 thf(clause103, conjecture,
% 16.01/2.92 (~( ( ssPv15_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) |
% 16.01/2.92 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 16.01/2.92 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 16.01/2.92 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 16.01/2.92 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 16.01/2.92 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 16.01/2.92 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 16.01/2.92 ( ~( ssPv15_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 16.01/2.92 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) ))).
% 16.01/2.92 thf(zf_stmt_55, negated_conjecture,
% 16.01/2.92 (( ssPv15_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) |
% 16.01/2.92 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 16.01/2.92 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 16.01/2.92 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 16.01/2.92 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 16.01/2.92 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 16.01/2.92 ( ~( ssPv15_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 16.01/2.92 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) )),
% 16.01/2.92 inference('cnf.neg', [status(esa)], [clause103])).
% 16.01/2.92 thf(zip_derived_cl102, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 16.01/2.92 ( (ssPv15_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.92 | ~ (ssNder1_0)
% 16.01/2.92 | ~ (ssNder1_1r1 @ X0)
% 16.01/2.92 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.92 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.92 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.92 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.92 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.92 | ~ (ssPv15_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)
% 16.01/2.92 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6))),
% 16.01/2.92 inference('cnf', [status(esa)], [zf_stmt_55])).
% 16.01/2.92 thf(zip_derived_cl746, plain,
% 16.01/2.92 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.92 X7 : $i]:
% 16.01/2.92 (~ (ssNder1_1r1 @ X0)
% 16.01/2.92 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.92 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.92 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.92 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.92 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.92 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.92 | (ssPv15_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.92 | ~ (ssPv15_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.92 X7)))
% 16.01/2.92 <= ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.92 X7 : $i]:
% 16.01/2.92 (~ (ssNder1_1r1 @ X0)
% 16.01/2.92 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.92 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.92 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.92 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.92 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.92 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.92 X6)
% 16.01/2.92 | (ssPv15_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.92 | ~ (ssPv15_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.92 X6 @ X7))))),
% 16.01/2.92 inference('split', [status(esa)], [zip_derived_cl102])).
% 16.01/2.92 thf(zip_derived_cl1634, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl544, '2'])).
% 16.01/2.92 thf(zip_derived_cl1646, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl1645, '4'])).
% 16.01/2.92 thf(zip_derived_cl1717, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl1716, '6'])).
% 16.01/2.92 thf(zip_derived_cl1805, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 16.01/2.92 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl1804, '10'])).
% 16.01/2.92 thf(zip_derived_cl1967, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 16.01/2.92 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl1966, '12'])).
% 16.01/2.92 thf(zip_derived_cl2176, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 16.01/2.92 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl2175, '14'])).
% 16.01/2.92 thf(zip_derived_cl2322, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 16.01/2.92 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl2321, '16'])).
% 16.01/2.92 thf(zip_derived_cl2408, plain,
% 16.01/2.92 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.92 X7 : $i]:
% 16.01/2.92 ( (ssPv15_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.92 | ~ (ssPv15_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.92 X7)))
% 16.01/2.92 <= ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.92 X7 : $i]:
% 16.01/2.92 (~ (ssNder1_1r1 @ X0)
% 16.01/2.92 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.92 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.92 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.92 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.92 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.92 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.92 X6)
% 16.01/2.92 | (ssPv15_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.92 | ~ (ssPv15_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.92 X6 @ X7))))),
% 16.01/2.92 inference('demod', [status(thm)],
% 16.01/2.92 [zip_derived_cl746, zip_derived_cl1634, zip_derived_cl1646,
% 16.01/2.92 zip_derived_cl1717, zip_derived_cl1805, zip_derived_cl1967,
% 16.01/2.92 zip_derived_cl2176, zip_derived_cl2322])).
% 16.01/2.92 thf('109', plain,
% 16.01/2.92 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.92 X7 : $i]:
% 16.01/2.92 (~ (ssNder1_1r1 @ X0)
% 16.01/2.92 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.92 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.92 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.92 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.92 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.92 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.92 | (ssPv15_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.92 | ~ (ssPv15_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.92 X7))) |
% 16.01/2.92 ~ ( (ssNder1_0))),
% 16.01/2.92 inference('split', [status(esa)], [zip_derived_cl102])).
% 16.01/2.92 thf('110', plain,
% 16.01/2.92 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.92 X7 : $i]:
% 16.01/2.92 (~ (ssNder1_1r1 @ X0)
% 16.01/2.92 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.92 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.92 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.92 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.92 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.92 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.92 | (ssPv15_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.92 | ~ (ssPv15_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.92 X7)))),
% 16.01/2.92 inference('sat_resolution*', [status(thm)], ['0', '109'])).
% 16.01/2.92 thf(zip_derived_cl2409, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 16.01/2.92 ( (ssPv15_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.92 | ~ (ssPv15_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7))),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl2408, '110'])).
% 16.01/2.92 thf(zip_derived_cl3752, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 16.01/2.92 ( (ssPv17_6r1r1r1r1r1r1 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2)
% 16.01/2.92 | (ssPv13_8r1r1r1r1r1r1r1r1 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 16.01/2.92 | (ssPv14_7r1r1r1r1r1r1r1 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1)
% 16.01/2.92 | (ssPv15_7r1r1r1r1r1r1r1 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1))),
% 16.01/2.92 inference('s_sup-', [status(thm)],
% 16.01/2.92 [zip_derived_cl3741, zip_derived_cl2409])).
% 16.01/2.92 thf(clause81, conjecture,
% 16.01/2.92 (~( ( ssPv15_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) |
% 16.01/2.92 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 16.01/2.92 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 16.01/2.92 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 16.01/2.92 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 16.01/2.92 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 16.01/2.92 ( ~( ssPv15_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 16.01/2.92 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) ))).
% 16.01/2.92 thf(zf_stmt_56, negated_conjecture,
% 16.01/2.92 (( ssPv15_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) | ( ~( ssNder1_0 ) ) |
% 16.01/2.92 ( ~( ssNder1_1r1 @ U ) ) | ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 16.01/2.92 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 16.01/2.92 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 16.01/2.92 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 16.01/2.92 ( ~( ssPv15_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 16.01/2.92 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) )),
% 16.01/2.92 inference('cnf.neg', [status(esa)], [clause81])).
% 16.01/2.92 thf(zip_derived_cl80, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 16.01/2.92 ( (ssPv15_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.92 | ~ (ssNder1_0)
% 16.01/2.92 | ~ (ssNder1_1r1 @ X0)
% 16.01/2.92 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.92 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.92 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.92 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.92 | ~ (ssPv15_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.92 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5))),
% 16.01/2.92 inference('cnf', [status(esa)], [zf_stmt_56])).
% 16.01/2.92 thf(zip_derived_cl702, plain,
% 16.01/2.92 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 16.01/2.92 (~ (ssNder1_1r1 @ X0)
% 16.01/2.92 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.92 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.92 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.92 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.92 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.92 | (ssPv15_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.92 | ~ (ssPv15_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)))
% 16.01/2.92 <= ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 16.01/2.92 (~ (ssNder1_1r1 @ X0)
% 16.01/2.92 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.92 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.92 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.92 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.92 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.92 | (ssPv15_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.92 | ~ (ssPv15_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6))))),
% 16.01/2.92 inference('split', [status(esa)], [zip_derived_cl80])).
% 16.01/2.92 thf(zip_derived_cl1634, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl544, '2'])).
% 16.01/2.92 thf(zip_derived_cl1646, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl1645, '4'])).
% 16.01/2.92 thf(zip_derived_cl1717, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl1716, '6'])).
% 16.01/2.92 thf(zip_derived_cl1805, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 16.01/2.92 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl1804, '10'])).
% 16.01/2.92 thf(zip_derived_cl1967, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 16.01/2.92 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl1966, '12'])).
% 16.01/2.92 thf(zip_derived_cl2176, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 16.01/2.92 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl2175, '14'])).
% 16.01/2.92 thf(zip_derived_cl2350, plain,
% 16.01/2.92 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 16.01/2.92 ( (ssPv15_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.92 | ~ (ssPv15_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)))
% 16.01/2.92 <= ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 16.01/2.92 (~ (ssNder1_1r1 @ X0)
% 16.01/2.92 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.92 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.92 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.92 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.92 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.92 | (ssPv15_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.92 | ~ (ssPv15_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6))))),
% 16.01/2.92 inference('demod', [status(thm)],
% 16.01/2.92 [zip_derived_cl702, zip_derived_cl1634, zip_derived_cl1646,
% 16.01/2.92 zip_derived_cl1717, zip_derived_cl1805, zip_derived_cl1967,
% 16.01/2.92 zip_derived_cl2176])).
% 16.01/2.92 thf('111', plain,
% 16.01/2.92 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 16.01/2.92 (~ (ssNder1_1r1 @ X0)
% 16.01/2.92 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.92 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.92 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.92 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.92 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.92 | (ssPv15_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.92 | ~ (ssPv15_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6))) |
% 16.01/2.92 ~ ( (ssNder1_0))),
% 16.01/2.92 inference('split', [status(esa)], [zip_derived_cl80])).
% 16.01/2.92 thf('112', plain,
% 16.01/2.92 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 16.01/2.92 (~ (ssNder1_1r1 @ X0)
% 16.01/2.92 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.92 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.92 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.92 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.92 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.92 | (ssPv15_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.92 | ~ (ssPv15_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)))),
% 16.01/2.92 inference('sat_resolution*', [status(thm)], ['0', '111'])).
% 16.01/2.92 thf(zip_derived_cl2351, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 16.01/2.92 ( (ssPv15_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.92 | ~ (ssPv15_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6))),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl2350, '112'])).
% 16.01/2.92 thf(zip_derived_cl3773, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 16.01/2.92 ( (ssPv14_7r1r1r1r1r1r1r1 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 16.01/2.92 | (ssPv13_8r1r1r1r1r1r1r1r1 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X7)
% 16.01/2.92 | (ssPv17_6r1r1r1r1r1r1 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1)
% 16.01/2.92 | (ssPv15_6r1r1r1r1r1r1 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1))),
% 16.01/2.92 inference('s_sup-', [status(thm)],
% 16.01/2.92 [zip_derived_cl3752, zip_derived_cl2351])).
% 16.01/2.92 thf(clause69, conjecture,
% 16.01/2.92 (~( ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 16.01/2.92 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 16.01/2.92 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 16.01/2.92 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 16.01/2.92 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 16.01/2.92 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 16.01/2.92 ( ~( ssPv13_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ skc25 ) ) ))).
% 16.01/2.92 thf(zf_stmt_57, negated_conjecture,
% 16.01/2.92 (( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 16.01/2.92 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 16.01/2.92 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 16.01/2.92 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 16.01/2.92 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 16.01/2.92 ( ~( ssPv13_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ skc25 ) )),
% 16.01/2.92 inference('cnf.neg', [status(esa)], [clause69])).
% 16.01/2.92 thf(zip_derived_cl68, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 16.01/2.92 (~ (ssNder1_0)
% 16.01/2.92 | ~ (ssNder1_1r1 @ X0)
% 16.01/2.92 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.92 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.92 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.92 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.92 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.92 | ~ (ssPv13_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.92 skc25))),
% 16.01/2.92 inference('cnf', [status(esa)], [zf_stmt_57])).
% 16.01/2.92 thf(zip_derived_cl678, plain,
% 16.01/2.92 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 16.01/2.92 (~ (ssNder1_1r1 @ X0)
% 16.01/2.92 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.92 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.92 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.92 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.92 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.92 | ~ (ssPv13_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.92 skc25)))
% 16.01/2.92 <= ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 16.01/2.92 (~ (ssNder1_1r1 @ X0)
% 16.01/2.92 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.92 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.92 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.92 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.92 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.92 | ~ (ssPv13_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.92 X6 @ skc25))))),
% 16.01/2.92 inference('split', [status(esa)], [zip_derived_cl68])).
% 16.01/2.92 thf(zip_derived_cl1634, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl544, '2'])).
% 16.01/2.92 thf(zip_derived_cl1646, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl1645, '4'])).
% 16.01/2.92 thf(zip_derived_cl1717, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl1716, '6'])).
% 16.01/2.92 thf(zip_derived_cl1805, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 16.01/2.92 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl1804, '10'])).
% 16.01/2.92 thf(zip_derived_cl1967, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 16.01/2.92 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl1966, '12'])).
% 16.01/2.92 thf(zip_derived_cl2176, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 16.01/2.92 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl2175, '14'])).
% 16.01/2.92 thf(zip_derived_cl2294, plain,
% 16.01/2.92 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 16.01/2.92 ~ (ssPv13_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.92 skc25))
% 16.01/2.92 <= ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 16.01/2.92 (~ (ssNder1_1r1 @ X0)
% 16.01/2.92 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.92 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.92 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.92 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.92 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.92 | ~ (ssPv13_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.92 X6 @ skc25))))),
% 16.01/2.92 inference('demod', [status(thm)],
% 16.01/2.92 [zip_derived_cl678, zip_derived_cl1634, zip_derived_cl1646,
% 16.01/2.92 zip_derived_cl1717, zip_derived_cl1805, zip_derived_cl1967,
% 16.01/2.92 zip_derived_cl2176])).
% 16.01/2.92 thf('113', plain,
% 16.01/2.92 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 16.01/2.92 (~ (ssNder1_1r1 @ X0)
% 16.01/2.92 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.92 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.92 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.92 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.92 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.92 | ~ (ssPv13_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.92 skc25))) |
% 16.01/2.92 ~ ( (ssNder1_0))),
% 16.01/2.92 inference('split', [status(esa)], [zip_derived_cl68])).
% 16.01/2.92 thf('114', plain,
% 16.01/2.92 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 16.01/2.92 (~ (ssNder1_1r1 @ X0)
% 16.01/2.92 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.92 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.92 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.92 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.92 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.92 | ~ (ssPv13_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.92 skc25)))),
% 16.01/2.92 inference('sat_resolution*', [status(thm)], ['0', '113'])).
% 16.01/2.92 thf(zip_derived_cl2295, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 16.01/2.92 ~ (ssPv13_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ skc25)),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl2294, '114'])).
% 16.01/2.92 thf(zip_derived_cl3781, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 16.01/2.92 ( (ssPv15_6r1r1r1r1r1r1 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1)
% 16.01/2.92 | (ssPv17_6r1r1r1r1r1r1 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1)
% 16.01/2.92 | (ssPv14_7r1r1r1r1r1r1r1 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0))),
% 16.01/2.92 inference('s_sup-', [status(thm)],
% 16.01/2.92 [zip_derived_cl3773, zip_derived_cl2295])).
% 16.01/2.92 thf(clause58, conjecture,
% 16.01/2.92 (~( ( ssPv17_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) | ( ~( ssNder1_0 ) ) |
% 16.01/2.92 ( ~( ssNder1_1r1 @ U ) ) | ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 16.01/2.92 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 16.01/2.92 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 16.01/2.92 ( ~( ssPv17_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 16.01/2.92 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) ))).
% 16.01/2.92 thf(zf_stmt_58, negated_conjecture,
% 16.01/2.92 (( ssPv17_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) | ( ~( ssNder1_0 ) ) |
% 16.01/2.92 ( ~( ssNder1_1r1 @ U ) ) | ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 16.01/2.92 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 16.01/2.92 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 16.01/2.92 ( ~( ssPv17_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 16.01/2.92 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) )),
% 16.01/2.92 inference('cnf.neg', [status(esa)], [clause58])).
% 16.01/2.92 thf(zip_derived_cl57, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 16.01/2.92 ( (ssPv17_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.92 | ~ (ssNder1_0)
% 16.01/2.92 | ~ (ssNder1_1r1 @ X0)
% 16.01/2.92 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.92 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.92 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.92 | ~ (ssPv17_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.92 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4))),
% 16.01/2.92 inference('cnf', [status(esa)], [zf_stmt_58])).
% 16.01/2.92 thf(zip_derived_cl656, plain,
% 16.01/2.92 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 16.01/2.92 (~ (ssNder1_1r1 @ X0)
% 16.01/2.92 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.92 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.92 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.92 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.92 | (ssPv17_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.92 | ~ (ssPv17_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)))
% 16.01/2.92 <= ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 16.01/2.92 (~ (ssNder1_1r1 @ X0)
% 16.01/2.92 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.92 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.92 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.92 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.92 | (ssPv17_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.92 | ~ (ssPv17_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5))))),
% 16.01/2.92 inference('split', [status(esa)], [zip_derived_cl57])).
% 16.01/2.92 thf(zip_derived_cl1634, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl544, '2'])).
% 16.01/2.92 thf(zip_derived_cl1646, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl1645, '4'])).
% 16.01/2.92 thf(zip_derived_cl1717, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl1716, '6'])).
% 16.01/2.92 thf(zip_derived_cl1805, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 16.01/2.92 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl1804, '10'])).
% 16.01/2.92 thf(zip_derived_cl1967, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 16.01/2.92 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl1966, '12'])).
% 16.01/2.92 thf(zip_derived_cl2302, plain,
% 16.01/2.92 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 16.01/2.92 ( (ssPv17_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.92 | ~ (ssPv17_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)))
% 16.01/2.92 <= ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 16.01/2.92 (~ (ssNder1_1r1 @ X0)
% 16.01/2.92 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.92 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.92 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.92 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.92 | (ssPv17_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.92 | ~ (ssPv17_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5))))),
% 16.01/2.92 inference('demod', [status(thm)],
% 16.01/2.92 [zip_derived_cl656, zip_derived_cl1634, zip_derived_cl1646,
% 16.01/2.92 zip_derived_cl1717, zip_derived_cl1805, zip_derived_cl1967])).
% 16.01/2.92 thf('115', plain,
% 16.01/2.92 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 16.01/2.92 (~ (ssNder1_1r1 @ X0)
% 16.01/2.92 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.92 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.92 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.92 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.92 | (ssPv17_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.92 | ~ (ssPv17_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5))) |
% 16.01/2.92 ~ ( (ssNder1_0))),
% 16.01/2.92 inference('split', [status(esa)], [zip_derived_cl57])).
% 16.01/2.92 thf('116', plain,
% 16.01/2.92 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 16.01/2.92 (~ (ssNder1_1r1 @ X0)
% 16.01/2.92 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.92 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.92 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.92 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.92 | (ssPv17_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.92 | ~ (ssPv17_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)))),
% 16.01/2.92 inference('sat_resolution*', [status(thm)], ['0', '115'])).
% 16.01/2.92 thf(zip_derived_cl2303, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 16.01/2.92 ( (ssPv17_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.92 | ~ (ssPv17_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5))),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl2302, '116'])).
% 16.01/2.92 thf(zip_derived_cl3786, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 16.01/2.92 ( (ssPv14_7r1r1r1r1r1r1r1 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X6)
% 16.01/2.92 | (ssPv15_6r1r1r1r1r1r1 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 16.01/2.92 | (ssPv17_5r1r1r1r1r1 @ X5 @ X4 @ X3 @ X2 @ X1))),
% 16.01/2.92 inference('s_sup-', [status(thm)],
% 16.01/2.92 [zip_derived_cl3781, zip_derived_cl2303])).
% 16.01/2.92 thf(clause51, conjecture,
% 16.01/2.92 (~( ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 16.01/2.92 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 16.01/2.92 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 16.01/2.92 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 16.01/2.92 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 16.01/2.92 ( ~( ssPv14_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ skc27 ) ) ))).
% 16.01/2.92 thf(zf_stmt_59, negated_conjecture,
% 16.01/2.92 (( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 16.01/2.92 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 16.01/2.92 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 16.01/2.92 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 16.01/2.92 ( ~( ssPv14_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ skc27 ) )),
% 16.01/2.92 inference('cnf.neg', [status(esa)], [clause51])).
% 16.01/2.92 thf(zip_derived_cl50, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 16.01/2.92 (~ (ssNder1_0)
% 16.01/2.92 | ~ (ssNder1_1r1 @ X0)
% 16.01/2.92 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.92 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.92 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.92 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.92 | ~ (ssPv14_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ skc27))),
% 16.01/2.92 inference('cnf', [status(esa)], [zf_stmt_59])).
% 16.01/2.92 thf(zip_derived_cl642, plain,
% 16.01/2.92 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 16.01/2.92 (~ (ssNder1_1r1 @ X0)
% 16.01/2.92 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.92 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.92 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.92 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.92 | ~ (ssPv14_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ skc27)))
% 16.01/2.92 <= ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 16.01/2.92 (~ (ssNder1_1r1 @ X0)
% 16.01/2.92 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.92 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.92 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.92 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.92 | ~ (ssPv14_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.92 skc27))))),
% 16.01/2.92 inference('split', [status(esa)], [zip_derived_cl50])).
% 16.01/2.92 thf(zip_derived_cl1634, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl544, '2'])).
% 16.01/2.92 thf(zip_derived_cl1646, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl1645, '4'])).
% 16.01/2.92 thf(zip_derived_cl1717, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl1716, '6'])).
% 16.01/2.92 thf(zip_derived_cl1805, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 16.01/2.92 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl1804, '10'])).
% 16.01/2.92 thf(zip_derived_cl1967, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 16.01/2.92 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl1966, '12'])).
% 16.01/2.92 thf(zip_derived_cl2235, plain,
% 16.01/2.92 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 16.01/2.92 ~ (ssPv14_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ skc27))
% 16.01/2.92 <= ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 16.01/2.92 (~ (ssNder1_1r1 @ X0)
% 16.01/2.92 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.92 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.92 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.92 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.92 | ~ (ssPv14_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.92 skc27))))),
% 16.01/2.92 inference('demod', [status(thm)],
% 16.01/2.92 [zip_derived_cl642, zip_derived_cl1634, zip_derived_cl1646,
% 16.01/2.92 zip_derived_cl1717, zip_derived_cl1805, zip_derived_cl1967])).
% 16.01/2.92 thf('117', plain,
% 16.01/2.92 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 16.01/2.92 (~ (ssNder1_1r1 @ X0)
% 16.01/2.92 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.92 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.92 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.92 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.92 | ~ (ssPv14_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ skc27))) |
% 16.01/2.92 ~ ( (ssNder1_0))),
% 16.01/2.92 inference('split', [status(esa)], [zip_derived_cl50])).
% 16.01/2.92 thf('118', plain,
% 16.01/2.92 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 16.01/2.92 (~ (ssNder1_1r1 @ X0)
% 16.01/2.92 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.92 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.92 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.92 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.92 | ~ (ssPv14_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ skc27)))),
% 16.01/2.92 inference('sat_resolution*', [status(thm)], ['0', '117'])).
% 16.01/2.92 thf(zip_derived_cl2236, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 16.01/2.92 ~ (ssPv14_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ skc27)),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl2235, '118'])).
% 16.01/2.92 thf(zip_derived_cl3790, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 16.01/2.92 ( (ssPv17_5r1r1r1r1r1 @ X5 @ X4 @ X3 @ X2 @ X1)
% 16.01/2.92 | (ssPv15_6r1r1r1r1r1r1 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0))),
% 16.01/2.92 inference('s_sup-', [status(thm)],
% 16.01/2.92 [zip_derived_cl3786, zip_derived_cl2236])).
% 16.01/2.92 thf(clause41, conjecture,
% 16.01/2.92 (~( ( ssPv17_4r1r1r1r1 @ U @ V @ W @ X ) | ( ~( ssNder1_0 ) ) |
% 16.01/2.92 ( ~( ssNder1_1r1 @ U ) ) | ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 16.01/2.92 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 16.01/2.92 ( ~( ssPv17_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 16.01/2.92 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) ))).
% 16.01/2.92 thf(zf_stmt_60, negated_conjecture,
% 16.01/2.92 (( ssPv17_4r1r1r1r1 @ U @ V @ W @ X ) | ( ~( ssNder1_0 ) ) |
% 16.01/2.92 ( ~( ssNder1_1r1 @ U ) ) | ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 16.01/2.92 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 16.01/2.92 ( ~( ssPv17_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 16.01/2.92 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) )),
% 16.01/2.92 inference('cnf.neg', [status(esa)], [clause41])).
% 16.01/2.92 thf(zip_derived_cl40, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 16.01/2.92 ( (ssPv17_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.92 | ~ (ssNder1_0)
% 16.01/2.92 | ~ (ssNder1_1r1 @ X0)
% 16.01/2.92 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.92 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.92 | ~ (ssPv17_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.92 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3))),
% 16.01/2.92 inference('cnf', [status(esa)], [zf_stmt_60])).
% 16.01/2.92 thf(zip_derived_cl622, plain,
% 16.01/2.92 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 16.01/2.92 (~ (ssNder1_1r1 @ X0)
% 16.01/2.92 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.92 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.92 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.92 | ~ (ssPv17_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.92 | (ssPv17_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)))
% 16.01/2.92 <= ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 16.01/2.92 (~ (ssNder1_1r1 @ X0)
% 16.01/2.92 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.92 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.92 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.92 | ~ (ssPv17_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.92 | (ssPv17_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3))))),
% 16.01/2.92 inference('split', [status(esa)], [zip_derived_cl40])).
% 16.01/2.92 thf(zip_derived_cl1634, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl544, '2'])).
% 16.01/2.92 thf(zip_derived_cl1646, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl1645, '4'])).
% 16.01/2.92 thf(zip_derived_cl1717, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl1716, '6'])).
% 16.01/2.92 thf(zip_derived_cl1805, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 16.01/2.92 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl1804, '10'])).
% 16.01/2.92 thf(zip_derived_cl2110, plain,
% 16.01/2.92 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 16.01/2.92 (~ (ssPv17_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.92 | (ssPv17_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)))
% 16.01/2.92 <= ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 16.01/2.92 (~ (ssNder1_1r1 @ X0)
% 16.01/2.92 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.92 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.92 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.92 | ~ (ssPv17_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.92 | (ssPv17_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3))))),
% 16.01/2.92 inference('demod', [status(thm)],
% 16.01/2.92 [zip_derived_cl622, zip_derived_cl1634, zip_derived_cl1646,
% 16.01/2.92 zip_derived_cl1717, zip_derived_cl1805])).
% 16.01/2.92 thf('119', plain,
% 16.01/2.92 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 16.01/2.92 (~ (ssNder1_1r1 @ X0)
% 16.01/2.92 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.92 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.92 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.92 | ~ (ssPv17_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.92 | (ssPv17_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3))) |
% 16.01/2.92 ~ ( (ssNder1_0))),
% 16.01/2.92 inference('split', [status(esa)], [zip_derived_cl40])).
% 16.01/2.92 thf('120', plain,
% 16.01/2.92 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 16.01/2.92 (~ (ssNder1_1r1 @ X0)
% 16.01/2.92 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.92 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.92 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.92 | ~ (ssPv17_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.92 | (ssPv17_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)))),
% 16.01/2.92 inference('sat_resolution*', [status(thm)], ['0', '119'])).
% 16.01/2.92 thf(zip_derived_cl2111, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 16.01/2.92 (~ (ssPv17_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.92 | (ssPv17_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3))),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl2110, '120'])).
% 16.01/2.92 thf(zip_derived_cl3793, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 16.01/2.92 ( (ssPv15_6r1r1r1r1r1r1 @ X4 @ X3 @ X2 @ X1 @ X0 @ X5)
% 16.01/2.92 | (ssPv17_4r1r1r1r1 @ X4 @ X3 @ X2 @ X1))),
% 16.01/2.92 inference('s_sup-', [status(thm)],
% 16.01/2.92 [zip_derived_cl3790, zip_derived_cl2111])).
% 16.01/2.92 thf(clause35, conjecture,
% 16.01/2.92 (~( ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 16.01/2.92 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 16.01/2.92 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 16.01/2.92 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 16.01/2.92 ( ~( ssPv15_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ skc29 ) ) ))).
% 16.01/2.92 thf(zf_stmt_61, negated_conjecture,
% 16.01/2.92 (( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 16.01/2.92 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 16.01/2.92 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 16.01/2.92 ( ~( ssPv15_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ skc29 ) )),
% 16.01/2.92 inference('cnf.neg', [status(esa)], [clause35])).
% 16.01/2.92 thf(zip_derived_cl34, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 16.01/2.92 (~ (ssNder1_0)
% 16.01/2.92 | ~ (ssNder1_1r1 @ X0)
% 16.01/2.92 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.92 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.92 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.92 | ~ (ssPv15_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ skc29))),
% 16.01/2.92 inference('cnf', [status(esa)], [zf_stmt_61])).
% 16.01/2.92 thf(zip_derived_cl610, plain,
% 16.01/2.92 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 16.01/2.92 (~ (ssNder1_1r1 @ X0)
% 16.01/2.92 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.92 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.92 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.92 | ~ (ssPv15_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ skc29)))
% 16.01/2.92 <= ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 16.01/2.92 (~ (ssNder1_1r1 @ X0)
% 16.01/2.92 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.92 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.92 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.92 | ~ (ssPv15_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ skc29))))),
% 16.01/2.92 inference('split', [status(esa)], [zip_derived_cl34])).
% 16.01/2.92 thf(zip_derived_cl1634, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl544, '2'])).
% 16.01/2.92 thf(zip_derived_cl1646, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl1645, '4'])).
% 16.01/2.92 thf(zip_derived_cl1717, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl1716, '6'])).
% 16.01/2.92 thf(zip_derived_cl1805, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 16.01/2.92 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl1804, '10'])).
% 16.01/2.92 thf(zip_derived_cl2038, plain,
% 16.01/2.92 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 16.01/2.92 ~ (ssPv15_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ skc29))
% 16.01/2.92 <= ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 16.01/2.92 (~ (ssNder1_1r1 @ X0)
% 16.01/2.92 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.92 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.92 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.92 | ~ (ssPv15_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ skc29))))),
% 16.01/2.92 inference('demod', [status(thm)],
% 16.01/2.92 [zip_derived_cl610, zip_derived_cl1634, zip_derived_cl1646,
% 16.01/2.92 zip_derived_cl1717, zip_derived_cl1805])).
% 16.01/2.92 thf('121', plain,
% 16.01/2.92 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 16.01/2.92 (~ (ssNder1_1r1 @ X0)
% 16.01/2.92 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.92 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.92 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.92 | ~ (ssPv15_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ skc29))) |
% 16.01/2.92 ~ ( (ssNder1_0))),
% 16.01/2.92 inference('split', [status(esa)], [zip_derived_cl34])).
% 16.01/2.92 thf('122', plain,
% 16.01/2.92 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 16.01/2.92 (~ (ssNder1_1r1 @ X0)
% 16.01/2.92 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.92 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.92 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.92 | ~ (ssPv15_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ skc29)))),
% 16.01/2.92 inference('sat_resolution*', [status(thm)], ['0', '121'])).
% 16.01/2.92 thf(zip_derived_cl2039, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 16.01/2.92 ~ (ssPv15_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ skc29)),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl2038, '122'])).
% 16.01/2.92 thf(zip_derived_cl3798, plain,
% 16.01/2.92 (![X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 16.01/2.92 (ssPv17_4r1r1r1r1 @ X4 @ X3 @ X2 @ X1)),
% 16.01/2.92 inference('s_sup-', [status(thm)],
% 16.01/2.92 [zip_derived_cl3793, zip_derived_cl2039])).
% 16.01/2.92 thf(zip_derived_cl3801, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 16.01/2.92 (ssPv17_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 16.01/2.92 inference('demod', [status(thm)],
% 16.01/2.92 [zip_derived_cl2063, zip_derived_cl3798])).
% 16.01/2.92 thf(zip_derived_cl3810, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 16.01/2.92 (ssPv17_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 16.01/2.92 inference('demod', [status(thm)],
% 16.01/2.92 [zip_derived_cl2316, zip_derived_cl3801])).
% 16.01/2.92 thf(zip_derived_cl3816, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 16.01/2.92 (ssPv17_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 16.01/2.92 inference('demod', [status(thm)],
% 16.01/2.92 [zip_derived_cl2367, zip_derived_cl3810])).
% 16.01/2.92 thf(zip_derived_cl3823, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 16.01/2.92 (ssPv17_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 16.01/2.92 inference('demod', [status(thm)],
% 16.01/2.92 [zip_derived_cl2427, zip_derived_cl3816])).
% 16.01/2.92 thf(zip_derived_cl3826, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.92 X7 : $i, X8 : $i, X9 : $i]:
% 16.01/2.92 (ssPv17_10r1r1r1r1r1r1r1r1r1r1 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @
% 16.01/2.92 X1 @ X0 @ X9)),
% 16.01/2.92 inference('demod', [status(thm)],
% 16.01/2.92 [zip_derived_cl2527, zip_derived_cl3823])).
% 16.01/2.92 thf(zip_derived_cl3831, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.92 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 16.01/2.92 (ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X10 @ X9 @ X8 @ X7 @ X6 @
% 16.01/2.92 X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X12 @ X11)),
% 16.01/2.92 inference('demod', [status(thm)],
% 16.01/2.92 [zip_derived_cl2762, zip_derived_cl3826])).
% 16.01/2.92 thf(zip_derived_cl3839, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.92 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 16.01/2.92 (ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.92 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)),
% 16.01/2.92 inference('demod', [status(thm)],
% 16.01/2.92 [zip_derived_cl2858, zip_derived_cl3831])).
% 16.01/2.92 thf(zip_derived_cl3846, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.92 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 16.01/2.92 ( (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X13 @ X12 @ X11 @ X10 @
% 16.01/2.92 X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 16.01/2.92 | ~ (ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X13 @ X12 @ X11 @ X10 @
% 16.01/2.92 X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 16.01/2.92 | (ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X13 @ X12 @ X11 @ X10 @
% 16.01/2.92 X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1))),
% 16.01/2.92 inference('demod', [status(thm)],
% 16.01/2.92 [zip_derived_cl3099, zip_derived_cl3839])).
% 16.01/2.92 thf(zip_derived_cl2818, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.92 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 16.01/2.92 (~ (ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X12 @ X11 @ X10 @ X9 @ X8 @
% 16.01/2.92 X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1)
% 16.01/2.92 | (ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X12 @ X11 @ X10 @ X9 @
% 16.01/2.92 X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X13))),
% 16.01/2.92 inference('s_sup-', [status(thm)],
% 16.01/2.92 [zip_derived_cl2760, zip_derived_cl2817])).
% 16.01/2.92 thf(zip_derived_cl3860, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.92 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 16.01/2.92 ( (ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X13 @ X12 @ X11 @ X10 @ X9 @
% 16.01/2.92 X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1)
% 16.01/2.92 | (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X13 @ X12 @ X11 @ X10 @
% 16.01/2.92 X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 16.01/2.92 | ~ (ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X13 @ X12 @ X11 @ X10 @
% 16.01/2.92 X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2))),
% 16.01/2.92 inference('s_sup+', [status(thm)],
% 16.01/2.92 [zip_derived_cl3846, zip_derived_cl2818])).
% 16.01/2.92 thf(zip_derived_cl3862, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.92 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 16.01/2.92 (~ (ssPv11_11r1r1r1r1r1r1r1r1r1r1r1 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @
% 16.01/2.92 X5 @ X4 @ X3 @ X2 @ X1)
% 16.01/2.92 | (ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X11 @ X10 @ X9 @ X8 @ X7 @
% 16.01/2.92 X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X12)
% 16.01/2.92 | (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X11 @ X10 @ X9 @ X8 @
% 16.01/2.92 X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X12 @ X13))),
% 16.01/2.92 inference('s_sup-', [status(thm)],
% 16.01/2.92 [zip_derived_cl2703, zip_derived_cl3860])).
% 16.01/2.92 thf(zip_derived_cl3863, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.92 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 16.01/2.92 (~ (ssPv11_10r1r1r1r1r1r1r1r1r1r1 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @
% 16.01/2.92 X4 @ X3 @ X2 @ X1)
% 16.01/2.92 | (ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X10 @ X9 @ X8 @ X7 @ X6 @
% 16.01/2.92 X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X12 @ X11)
% 16.01/2.92 | (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X10 @ X9 @ X8 @ X7 @ X6 @
% 16.01/2.92 X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X12 @ X11 @ X13))),
% 16.01/2.92 inference('s_sup-', [status(thm)],
% 16.01/2.92 [zip_derived_cl2604, zip_derived_cl3862])).
% 16.01/2.92 thf(zip_derived_cl3866, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.92 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 16.01/2.92 ( (ssPv15_8r1r1r1r1r1r1r1r1 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2)
% 16.01/2.92 | (ssPv14_10r1r1r1r1r1r1r1r1r1r1 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @
% 16.01/2.92 X3 @ X2 @ X1 @ X0)
% 16.01/2.92 | (ssPv13_8r1r1r1r1r1r1r1r1 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2)
% 16.01/2.92 | (ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X9 @ X8 @ X7 @ X6 @ X5 @
% 16.01/2.92 X4 @ X3 @ X2 @ X1 @ X0 @ X12 @ X11 @ X10)
% 16.01/2.92 | (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X9 @ X8 @ X7 @ X6 @ X5 @
% 16.01/2.92 X4 @ X3 @ X2 @ X1 @ X0 @ X12 @ X11 @ X10 @ X13))),
% 16.01/2.92 inference('s_sup-', [status(thm)],
% 16.01/2.92 [zip_derived_cl3642, zip_derived_cl3863])).
% 16.01/2.92 thf(clause230, conjecture,
% 16.01/2.92 (~( ( ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.92 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) |
% 16.01/2.92 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 16.01/2.92 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 16.01/2.92 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 16.01/2.92 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 16.01/2.92 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 16.01/2.92 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 16.01/2.92 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 16.01/2.92 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 16.01/2.92 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 16.01/2.92 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.92 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 16.01/2.92 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.92 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 16.01/2.92 ( ~( ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.92 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 16.01/2.92 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.92 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) ))).
% 16.01/2.92 thf(zf_stmt_62, negated_conjecture,
% 16.01/2.92 (( ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.92 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) |
% 16.01/2.92 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 16.01/2.92 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 16.01/2.92 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 16.01/2.92 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 16.01/2.92 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 16.01/2.92 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 16.01/2.92 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 16.01/2.92 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 16.01/2.92 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.92 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 16.01/2.92 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.92 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 16.01/2.92 ( ~( ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.92 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 16.01/2.92 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.92 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) )),
% 16.01/2.92 inference('cnf.neg', [status(esa)], [clause230])).
% 16.01/2.92 thf(zip_derived_cl229, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.92 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 16.01/2.92 ( (ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.92 X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 16.01/2.92 | ~ (ssNder1_0)
% 16.01/2.92 | ~ (ssNder1_1r1 @ X0)
% 16.01/2.92 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.92 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.92 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.92 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.92 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.92 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.92 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.92 X7)
% 16.01/2.92 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.92 X6 @ X7 @ X8)
% 16.01/2.92 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.92 X6 @ X7 @ X8 @ X9)
% 16.01/2.92 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.92 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 16.01/2.92 | ~ (ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.92 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 16.01/2.92 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.92 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11))),
% 16.01/2.92 inference('cnf', [status(esa)], [zf_stmt_62])).
% 16.01/2.92 thf(zip_derived_cl1000, plain,
% 16.01/2.92 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.92 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 16.01/2.92 (~ (ssNder1_1r1 @ X0)
% 16.01/2.92 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.92 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.92 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.92 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.92 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.92 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.92 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.92 X7)
% 16.01/2.92 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.92 X6 @ X7 @ X8)
% 16.01/2.92 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.92 X6 @ X7 @ X8 @ X9)
% 16.01/2.92 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.92 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 16.01/2.92 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.92 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 16.01/2.92 | (ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.92 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 16.01/2.92 | ~ (ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.92 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)))
% 16.01/2.92 <= ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.92 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 16.01/2.92 (~ (ssNder1_1r1 @ X0)
% 16.01/2.92 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.92 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.92 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.92 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.92 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.92 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.92 X6)
% 16.01/2.92 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.92 X5 @ X6 @ X7)
% 16.01/2.92 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.92 X5 @ X6 @ X7 @ X8)
% 16.01/2.92 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.92 X4 @ X5 @ X6 @ X7 @ X8 @ X9)
% 16.01/2.92 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.92 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 16.01/2.92 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.92 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 16.01/2.92 | (ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.92 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 16.01/2.92 | ~ (ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 16.01/2.92 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12))))),
% 16.01/2.92 inference('split', [status(esa)], [zip_derived_cl229])).
% 16.01/2.92 thf(zip_derived_cl1634, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl544, '2'])).
% 16.01/2.92 thf(zip_derived_cl1646, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl1645, '4'])).
% 16.01/2.92 thf(zip_derived_cl1717, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl1716, '6'])).
% 16.01/2.92 thf(zip_derived_cl1805, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 16.01/2.92 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl1804, '10'])).
% 16.01/2.92 thf(zip_derived_cl1967, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 16.01/2.92 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl1966, '12'])).
% 16.01/2.92 thf(zip_derived_cl2176, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 16.01/2.92 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl2175, '14'])).
% 16.01/2.92 thf(zip_derived_cl2322, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 16.01/2.92 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl2321, '16'])).
% 16.01/2.92 thf(zip_derived_cl2380, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 16.01/2.92 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl2379, '18'])).
% 16.01/2.92 thf(zip_derived_cl2438, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.92 X7 : $i, X8 : $i]:
% 16.01/2.92 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.92 X7 @ X8)),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl2437, '20'])).
% 16.01/2.92 thf(zip_derived_cl2499, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.92 X7 : $i, X8 : $i, X9 : $i]:
% 16.01/2.92 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.92 X7 @ X8 @ X9)),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl2498, '34'])).
% 16.01/2.92 thf(zip_derived_cl2567, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.92 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 16.01/2.92 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.92 X6 @ X7 @ X8 @ X9 @ X10)),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl2566, '38'])).
% 16.01/2.92 thf(zip_derived_cl2629, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.92 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 16.01/2.92 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.92 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl2628, '42'])).
% 16.01/2.92 thf(zip_derived_cl2732, plain,
% 16.01/2.92 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.92 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 16.01/2.92 ( (ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.92 X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 16.01/2.92 | ~ (ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.92 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)))
% 16.01/2.92 <= ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.92 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 16.01/2.92 (~ (ssNder1_1r1 @ X0)
% 16.01/2.92 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.92 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.92 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.92 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.92 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.92 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.92 X6)
% 16.01/2.92 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.92 X5 @ X6 @ X7)
% 16.01/2.92 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.92 X5 @ X6 @ X7 @ X8)
% 16.01/2.92 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.92 X4 @ X5 @ X6 @ X7 @ X8 @ X9)
% 16.01/2.92 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.92 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 16.01/2.92 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.92 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 16.01/2.92 | (ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.92 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 16.01/2.92 | ~ (ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 16.01/2.92 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12))))),
% 16.01/2.92 inference('demod', [status(thm)],
% 16.01/2.92 [zip_derived_cl1000, zip_derived_cl1634, zip_derived_cl1646,
% 16.01/2.92 zip_derived_cl1717, zip_derived_cl1805, zip_derived_cl1967,
% 16.01/2.92 zip_derived_cl2176, zip_derived_cl2322, zip_derived_cl2380,
% 16.01/2.92 zip_derived_cl2438, zip_derived_cl2499, zip_derived_cl2567,
% 16.01/2.92 zip_derived_cl2629])).
% 16.01/2.92 thf('123', plain,
% 16.01/2.92 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.92 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 16.01/2.92 (~ (ssNder1_1r1 @ X0)
% 16.01/2.92 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.92 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.92 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.92 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.92 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.92 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.92 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.92 X7)
% 16.01/2.92 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.92 X6 @ X7 @ X8)
% 16.01/2.92 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.92 X6 @ X7 @ X8 @ X9)
% 16.01/2.92 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.92 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 16.01/2.92 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.92 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 16.01/2.92 | (ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.92 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 16.01/2.92 | ~ (ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.92 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12))) |
% 16.01/2.92 ~ ( (ssNder1_0))),
% 16.01/2.92 inference('split', [status(esa)], [zip_derived_cl229])).
% 16.01/2.92 thf('124', plain,
% 16.01/2.92 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.92 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 16.01/2.92 (~ (ssNder1_1r1 @ X0)
% 16.01/2.92 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.92 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.92 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.92 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.92 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.92 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.92 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.92 X7)
% 16.01/2.92 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.92 X6 @ X7 @ X8)
% 16.01/2.92 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.92 X6 @ X7 @ X8 @ X9)
% 16.01/2.92 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.92 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 16.01/2.92 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.92 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 16.01/2.92 | (ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.92 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 16.01/2.92 | ~ (ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.92 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)))),
% 16.01/2.92 inference('sat_resolution*', [status(thm)], ['0', '123'])).
% 16.01/2.92 thf(zip_derived_cl2733, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.92 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 16.01/2.92 ( (ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.92 X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 16.01/2.92 | ~ (ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.92 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12))),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl2732, '124'])).
% 16.01/2.92 thf(zip_derived_cl3903, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.92 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 16.01/2.92 ( (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X12 @ X11 @ X10 @ X9 @ X8 @
% 16.01/2.92 X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X13)
% 16.01/2.92 | (ssPv13_8r1r1r1r1r1r1r1r1 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @
% 16.01/2.92 X5)
% 16.01/2.92 | (ssPv14_10r1r1r1r1r1r1r1r1r1r1 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @
% 16.01/2.92 X6 @ X5 @ X4 @ X3)
% 16.01/2.92 | (ssPv15_8r1r1r1r1r1r1r1r1 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @
% 16.01/2.92 X5)
% 16.01/2.92 | (ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X12 @ X11 @ X10 @ X9 @ X8 @
% 16.01/2.92 X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1))),
% 16.01/2.92 inference('s_sup-', [status(thm)],
% 16.01/2.92 [zip_derived_cl3866, zip_derived_cl2733])).
% 16.01/2.92 thf(clause218, conjecture,
% 16.01/2.92 (~( ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 16.01/2.92 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 16.01/2.92 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 16.01/2.92 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 16.01/2.92 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 16.01/2.92 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 16.01/2.92 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 16.01/2.92 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 16.01/2.92 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 16.01/2.92 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.92 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 16.01/2.92 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.92 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 16.01/2.92 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.92 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 16.01/2.92 ( ~( ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.92 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ skc21 ) ) ))).
% 16.01/2.92 thf(zf_stmt_63, negated_conjecture,
% 16.01/2.92 (( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 16.01/2.92 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 16.01/2.92 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 16.01/2.92 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 16.01/2.92 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 16.01/2.92 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 16.01/2.92 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 16.01/2.92 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 16.01/2.92 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.92 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 16.01/2.92 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.92 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 16.01/2.92 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.92 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 16.01/2.92 ( ~( ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.92 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ skc21 ) )),
% 16.01/2.92 inference('cnf.neg', [status(esa)], [clause218])).
% 16.01/2.92 thf(zip_derived_cl217, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.92 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 16.01/2.92 (~ (ssNder1_0)
% 16.01/2.92 | ~ (ssNder1_1r1 @ X0)
% 16.01/2.92 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.92 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.92 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.92 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.92 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.92 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.92 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.92 X7)
% 16.01/2.92 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.92 X6 @ X7 @ X8)
% 16.01/2.92 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.92 X6 @ X7 @ X8 @ X9)
% 16.01/2.92 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.92 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 16.01/2.92 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.92 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 16.01/2.92 | ~ (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.92 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ skc21))),
% 16.01/2.92 inference('cnf', [status(esa)], [zf_stmt_63])).
% 16.01/2.92 thf(zip_derived_cl976, plain,
% 16.01/2.92 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.92 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 16.01/2.92 (~ (ssNder1_1r1 @ X0)
% 16.01/2.92 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.92 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.92 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.92 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.92 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.92 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.92 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.92 X7)
% 16.01/2.92 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.92 X6 @ X7 @ X8)
% 16.01/2.92 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.92 X6 @ X7 @ X8 @ X9)
% 16.01/2.92 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.92 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 16.01/2.92 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.92 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 16.01/2.92 | ~ (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.92 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ skc21)))
% 16.01/2.92 <= ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.92 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 16.01/2.92 (~ (ssNder1_1r1 @ X0)
% 16.01/2.92 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.92 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.92 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.92 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.92 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.92 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.92 X6)
% 16.01/2.92 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.92 X5 @ X6 @ X7)
% 16.01/2.92 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.92 X5 @ X6 @ X7 @ X8)
% 16.01/2.92 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.92 X4 @ X5 @ X6 @ X7 @ X8 @ X9)
% 16.01/2.92 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.92 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 16.01/2.92 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.92 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 16.01/2.92 | ~ (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 16.01/2.92 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @
% 16.01/2.92 skc21))))),
% 16.01/2.92 inference('split', [status(esa)], [zip_derived_cl217])).
% 16.01/2.92 thf(zip_derived_cl1634, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl544, '2'])).
% 16.01/2.92 thf(zip_derived_cl1646, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl1645, '4'])).
% 16.01/2.92 thf(zip_derived_cl1717, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl1716, '6'])).
% 16.01/2.92 thf(zip_derived_cl1805, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 16.01/2.92 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl1804, '10'])).
% 16.01/2.92 thf(zip_derived_cl1967, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 16.01/2.92 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl1966, '12'])).
% 16.01/2.92 thf(zip_derived_cl2176, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 16.01/2.92 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl2175, '14'])).
% 16.01/2.92 thf(zip_derived_cl2322, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 16.01/2.92 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl2321, '16'])).
% 16.01/2.92 thf(zip_derived_cl2372, plain,
% 16.01/2.92 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.92 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 16.01/2.92 (~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)
% 16.01/2.92 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.92 X6 @ X7 @ X8)
% 16.01/2.92 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.92 X6 @ X7 @ X8 @ X9)
% 16.01/2.92 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.92 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 16.01/2.92 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.92 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 16.01/2.92 | ~ (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.92 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ skc21)))
% 16.01/2.92 <= ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.92 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 16.01/2.92 (~ (ssNder1_1r1 @ X0)
% 16.01/2.92 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.92 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.92 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.92 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.92 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.92 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.92 X6)
% 16.01/2.92 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.92 X5 @ X6 @ X7)
% 16.01/2.92 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.92 X5 @ X6 @ X7 @ X8)
% 16.01/2.92 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.92 X4 @ X5 @ X6 @ X7 @ X8 @ X9)
% 16.01/2.92 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.92 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 16.01/2.92 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.92 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 16.01/2.92 | ~ (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 16.01/2.92 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @
% 16.01/2.92 skc21))))),
% 16.01/2.92 inference('demod', [status(thm)],
% 16.01/2.92 [zip_derived_cl976, zip_derived_cl1634, zip_derived_cl1646,
% 16.01/2.92 zip_derived_cl1717, zip_derived_cl1805, zip_derived_cl1967,
% 16.01/2.92 zip_derived_cl2176, zip_derived_cl2322])).
% 16.01/2.92 thf('125', plain,
% 16.01/2.92 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.92 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 16.01/2.92 (~ (ssNder1_1r1 @ X0)
% 16.01/2.92 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.92 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.92 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.92 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.92 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.92 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.92 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.92 X7)
% 16.01/2.92 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.92 X6 @ X7 @ X8)
% 16.01/2.92 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.92 X6 @ X7 @ X8 @ X9)
% 16.01/2.92 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.92 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 16.01/2.92 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.92 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 16.01/2.92 | ~ (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.92 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ skc21))) |
% 16.01/2.92 ~ ( (ssNder1_0))),
% 16.01/2.92 inference('split', [status(esa)], [zip_derived_cl217])).
% 16.01/2.92 thf('126', plain,
% 16.01/2.92 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.92 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 16.01/2.92 (~ (ssNder1_1r1 @ X0)
% 16.01/2.92 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.92 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.92 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.92 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.92 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.92 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.92 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.92 X7)
% 16.01/2.92 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.92 X6 @ X7 @ X8)
% 16.01/2.92 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.92 X6 @ X7 @ X8 @ X9)
% 16.01/2.92 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.92 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 16.01/2.92 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.92 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 16.01/2.92 | ~ (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.92 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ skc21)))),
% 16.01/2.92 inference('sat_resolution*', [status(thm)], ['0', '125'])).
% 16.01/2.92 thf(zip_derived_cl2373, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.92 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 16.01/2.92 (~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)
% 16.01/2.92 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.92 X6 @ X7 @ X8)
% 16.01/2.92 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.92 X6 @ X7 @ X8 @ X9)
% 16.01/2.92 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.92 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 16.01/2.92 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.92 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 16.01/2.92 | ~ (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.92 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ skc21))),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl2372, '126'])).
% 16.01/2.92 thf(zip_derived_cl2380, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 16.01/2.92 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl2379, '18'])).
% 16.01/2.92 thf(zip_derived_cl2382, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.92 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 16.01/2.92 (~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.92 X7 @ X8)
% 16.01/2.92 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.92 X6 @ X7 @ X8 @ X9)
% 16.01/2.92 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.92 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 16.01/2.92 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.92 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 16.01/2.92 | ~ (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.92 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ skc21))),
% 16.01/2.92 inference('demod', [status(thm)],
% 16.01/2.92 [zip_derived_cl2373, zip_derived_cl2380])).
% 16.01/2.92 thf(zip_derived_cl2438, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.92 X7 : $i, X8 : $i]:
% 16.01/2.92 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.92 X7 @ X8)),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl2437, '20'])).
% 16.01/2.92 thf(zip_derived_cl2440, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.92 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 16.01/2.92 (~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.92 X6 @ X7 @ X8 @ X9)
% 16.01/2.92 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.92 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 16.01/2.92 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.92 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 16.01/2.92 | ~ (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.92 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ skc21))),
% 16.01/2.92 inference('demod', [status(thm)],
% 16.01/2.92 [zip_derived_cl2382, zip_derived_cl2438])).
% 16.01/2.92 thf(zip_derived_cl2499, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.92 X7 : $i, X8 : $i, X9 : $i]:
% 16.01/2.92 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.92 X7 @ X8 @ X9)),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl2498, '34'])).
% 16.01/2.92 thf(zip_derived_cl2501, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.92 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 16.01/2.92 (~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.92 X6 @ X7 @ X8 @ X9 @ X10)
% 16.01/2.92 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.92 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 16.01/2.92 | ~ (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.92 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ skc21))),
% 16.01/2.92 inference('demod', [status(thm)],
% 16.01/2.92 [zip_derived_cl2440, zip_derived_cl2499])).
% 16.01/2.92 thf(zip_derived_cl2567, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.92 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 16.01/2.92 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.92 X6 @ X7 @ X8 @ X9 @ X10)),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl2566, '38'])).
% 16.01/2.92 thf(zip_derived_cl2569, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.92 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 16.01/2.92 (~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.92 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 16.01/2.92 | ~ (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.92 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ skc21))),
% 16.01/2.92 inference('demod', [status(thm)],
% 16.01/2.92 [zip_derived_cl2501, zip_derived_cl2567])).
% 16.01/2.92 thf(zip_derived_cl2629, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.92 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 16.01/2.92 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.92 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl2628, '42'])).
% 16.01/2.92 thf(zip_derived_cl2630, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.92 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 16.01/2.92 ~ (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.92 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ skc21)),
% 16.01/2.92 inference('demod', [status(thm)],
% 16.01/2.92 [zip_derived_cl2569, zip_derived_cl2629])).
% 16.01/2.92 thf(zip_derived_cl3904, plain,
% 16.01/2.92 (![X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i,
% 16.01/2.92 X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 16.01/2.92 ( (ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X12 @ X11 @ X10 @ X9 @ X8 @
% 16.01/2.92 X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1)
% 16.01/2.92 | (ssPv15_8r1r1r1r1r1r1r1r1 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @
% 16.01/2.92 X5)
% 16.01/2.92 | (ssPv14_10r1r1r1r1r1r1r1r1r1r1 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @
% 16.01/2.92 X6 @ X5 @ X4 @ X3)
% 16.01/2.92 | (ssPv13_8r1r1r1r1r1r1r1r1 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @
% 16.01/2.92 X5))),
% 16.01/2.92 inference('s_sup-', [status(thm)],
% 16.01/2.92 [zip_derived_cl3903, zip_derived_cl2630])).
% 16.01/2.92 thf(clause211, conjecture,
% 16.01/2.92 (~( ( ssPv16_11r1r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.92 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) |
% 16.01/2.92 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 16.01/2.92 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 16.01/2.92 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 16.01/2.92 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 16.01/2.92 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 16.01/2.92 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 16.01/2.92 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 16.01/2.92 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 16.01/2.92 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 16.01/2.92 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.92 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 16.01/2.92 ( ~( ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.92 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 16.01/2.92 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.92 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) ))).
% 16.01/2.92 thf(zf_stmt_64, negated_conjecture,
% 16.01/2.92 (( ssPv16_11r1r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.92 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) |
% 16.01/2.92 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 16.01/2.92 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 16.01/2.92 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 16.01/2.92 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 16.01/2.92 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 16.01/2.92 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 16.01/2.92 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 16.01/2.92 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 16.01/2.92 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.92 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 16.01/2.92 ( ~( ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.92 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 16.01/2.92 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.92 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) )),
% 16.01/2.92 inference('cnf.neg', [status(esa)], [clause211])).
% 16.01/2.92 thf(zip_derived_cl210, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.92 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 16.01/2.92 ( (ssPv16_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.92 X6 @ X7 @ X8 @ X9 @ X10)
% 16.01/2.92 | ~ (ssNder1_0)
% 16.01/2.92 | ~ (ssNder1_1r1 @ X0)
% 16.01/2.92 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.92 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.92 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.92 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.92 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.92 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.92 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.92 X7)
% 16.01/2.92 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.92 X6 @ X7 @ X8)
% 16.01/2.92 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.92 X6 @ X7 @ X8 @ X9)
% 16.01/2.92 | ~ (ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.92 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 16.01/2.92 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.92 X5 @ X6 @ X7 @ X8 @ X9 @ X10))),
% 16.01/2.92 inference('cnf', [status(esa)], [zf_stmt_64])).
% 16.01/2.92 thf(zip_derived_cl962, plain,
% 16.01/2.92 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.92 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 16.01/2.92 (~ (ssNder1_1r1 @ X0)
% 16.01/2.92 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.92 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.92 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.92 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.92 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.92 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.92 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.92 X7)
% 16.01/2.92 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.92 X6 @ X7 @ X8)
% 16.01/2.92 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.92 X6 @ X7 @ X8 @ X9)
% 16.01/2.92 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.92 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 16.01/2.92 | (ssPv16_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.92 X6 @ X7 @ X8 @ X9 @ X10)
% 16.01/2.92 | ~ (ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.92 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)))
% 16.01/2.92 <= ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.92 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 16.01/2.92 (~ (ssNder1_1r1 @ X0)
% 16.01/2.92 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.92 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.92 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.92 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.92 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.92 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.92 X6)
% 16.01/2.92 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.92 X5 @ X6 @ X7)
% 16.01/2.92 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.92 X5 @ X6 @ X7 @ X8)
% 16.01/2.92 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.92 X4 @ X5 @ X6 @ X7 @ X8 @ X9)
% 16.01/2.92 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.92 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 16.01/2.92 | (ssPv16_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.92 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 16.01/2.92 | ~ (ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.92 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11))))),
% 16.01/2.92 inference('split', [status(esa)], [zip_derived_cl210])).
% 16.01/2.92 thf(zip_derived_cl1634, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl544, '2'])).
% 16.01/2.92 thf(zip_derived_cl1646, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl1645, '4'])).
% 16.01/2.92 thf(zip_derived_cl1717, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl1716, '6'])).
% 16.01/2.92 thf(zip_derived_cl1805, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 16.01/2.92 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl1804, '10'])).
% 16.01/2.92 thf(zip_derived_cl1967, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 16.01/2.92 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl1966, '12'])).
% 16.01/2.92 thf(zip_derived_cl2176, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 16.01/2.92 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl2175, '14'])).
% 16.01/2.92 thf(zip_derived_cl2322, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 16.01/2.92 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl2321, '16'])).
% 16.01/2.92 thf(zip_derived_cl2380, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 16.01/2.92 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl2379, '18'])).
% 16.01/2.92 thf(zip_derived_cl2438, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.92 X7 : $i, X8 : $i]:
% 16.01/2.92 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.92 X7 @ X8)),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl2437, '20'])).
% 16.01/2.92 thf(zip_derived_cl2499, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.92 X7 : $i, X8 : $i, X9 : $i]:
% 16.01/2.92 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.92 X7 @ X8 @ X9)),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl2498, '34'])).
% 16.01/2.92 thf(zip_derived_cl2567, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.92 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 16.01/2.92 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.92 X6 @ X7 @ X8 @ X9 @ X10)),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl2566, '38'])).
% 16.01/2.92 thf(zip_derived_cl2654, plain,
% 16.01/2.92 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.92 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 16.01/2.92 ( (ssPv16_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.92 X6 @ X7 @ X8 @ X9 @ X10)
% 16.01/2.92 | ~ (ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.92 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)))
% 16.01/2.92 <= ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.92 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 16.01/2.92 (~ (ssNder1_1r1 @ X0)
% 16.01/2.92 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.92 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.92 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.92 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.92 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.92 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.92 X6)
% 16.01/2.92 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.92 X5 @ X6 @ X7)
% 16.01/2.92 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.92 X5 @ X6 @ X7 @ X8)
% 16.01/2.92 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.92 X4 @ X5 @ X6 @ X7 @ X8 @ X9)
% 16.01/2.92 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.92 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 16.01/2.92 | (ssPv16_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.92 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 16.01/2.92 | ~ (ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.92 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11))))),
% 16.01/2.92 inference('demod', [status(thm)],
% 16.01/2.92 [zip_derived_cl962, zip_derived_cl1634, zip_derived_cl1646,
% 16.01/2.92 zip_derived_cl1717, zip_derived_cl1805, zip_derived_cl1967,
% 16.01/2.92 zip_derived_cl2176, zip_derived_cl2322, zip_derived_cl2380,
% 16.01/2.92 zip_derived_cl2438, zip_derived_cl2499, zip_derived_cl2567])).
% 16.01/2.92 thf('127', plain,
% 16.01/2.92 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.92 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 16.01/2.92 (~ (ssNder1_1r1 @ X0)
% 16.01/2.92 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.92 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.92 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.92 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.92 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.92 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.92 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.92 X7)
% 16.01/2.92 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.92 X6 @ X7 @ X8)
% 16.01/2.92 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.92 X6 @ X7 @ X8 @ X9)
% 16.01/2.92 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.92 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 16.01/2.92 | (ssPv16_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.92 X6 @ X7 @ X8 @ X9 @ X10)
% 16.01/2.92 | ~ (ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.92 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11))) |
% 16.01/2.92 ~ ( (ssNder1_0))),
% 16.01/2.92 inference('split', [status(esa)], [zip_derived_cl210])).
% 16.01/2.92 thf('128', plain,
% 16.01/2.92 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.92 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 16.01/2.92 (~ (ssNder1_1r1 @ X0)
% 16.01/2.92 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.92 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.92 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.92 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.92 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.92 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.92 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.92 X7)
% 16.01/2.92 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.92 X6 @ X7 @ X8)
% 16.01/2.92 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.92 X6 @ X7 @ X8 @ X9)
% 16.01/2.92 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.92 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 16.01/2.92 | (ssPv16_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.92 X6 @ X7 @ X8 @ X9 @ X10)
% 16.01/2.92 | ~ (ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.92 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)))),
% 16.01/2.92 inference('sat_resolution*', [status(thm)], ['0', '127'])).
% 16.01/2.92 thf(zip_derived_cl2655, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.92 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 16.01/2.92 ( (ssPv16_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.92 X6 @ X7 @ X8 @ X9 @ X10)
% 16.01/2.92 | ~ (ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.92 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11))),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl2654, '128'])).
% 16.01/2.92 thf(zip_derived_cl3907, plain,
% 16.01/2.92 (![X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i,
% 16.01/2.92 X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 16.01/2.92 ( (ssPv13_8r1r1r1r1r1r1r1r1 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4)
% 16.01/2.92 | (ssPv14_10r1r1r1r1r1r1r1r1r1r1 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @
% 16.01/2.92 X5 @ X4 @ X3 @ X2)
% 16.01/2.92 | (ssPv15_8r1r1r1r1r1r1r1r1 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @
% 16.01/2.92 X4)
% 16.01/2.92 | (ssPv16_11r1r1r1r1r1r1r1r1r1r1r1 @ X11 @ X10 @ X9 @ X8 @ X7 @
% 16.01/2.92 X6 @ X5 @ X4 @ X3 @ X2 @ X1))),
% 16.01/2.92 inference('s_sup-', [status(thm)],
% 16.01/2.92 [zip_derived_cl3904, zip_derived_cl2655])).
% 16.01/2.92 thf(clause172, conjecture,
% 16.01/2.92 (~( ( ssPv16_10r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.92 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) |
% 16.01/2.92 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 16.01/2.92 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 16.01/2.92 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 16.01/2.92 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 16.01/2.92 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 16.01/2.92 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 16.01/2.92 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 16.01/2.92 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 16.01/2.92 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 16.01/2.92 ( ~( ssPv16_11r1r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.92 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 16.01/2.92 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.92 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) ))).
% 16.01/2.92 thf(zf_stmt_65, negated_conjecture,
% 16.01/2.92 (( ssPv16_10r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.92 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) |
% 16.01/2.92 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 16.01/2.92 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 16.01/2.92 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 16.01/2.92 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 16.01/2.92 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 16.01/2.92 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 16.01/2.92 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 16.01/2.92 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 16.01/2.92 ( ~( ssPv16_11r1r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.92 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 16.01/2.92 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.92 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) )),
% 16.01/2.92 inference('cnf.neg', [status(esa)], [clause172])).
% 16.01/2.92 thf(zip_derived_cl171, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.92 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 16.01/2.92 ( (ssPv16_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.92 X7 @ X8 @ X9)
% 16.01/2.92 | ~ (ssNder1_0)
% 16.01/2.92 | ~ (ssNder1_1r1 @ X0)
% 16.01/2.92 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.92 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.92 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.92 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.92 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.92 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.92 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.92 X7)
% 16.01/2.92 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.92 X6 @ X7 @ X8)
% 16.01/2.92 | ~ (ssPv16_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.92 X6 @ X7 @ X8 @ X9 @ X10)
% 16.01/2.92 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.92 X6 @ X7 @ X8 @ X9))),
% 16.01/2.92 inference('cnf', [status(esa)], [zf_stmt_65])).
% 16.01/2.92 thf(zip_derived_cl884, plain,
% 16.01/2.92 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.92 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 16.01/2.92 (~ (ssNder1_1r1 @ X0)
% 16.01/2.92 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.92 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.92 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.92 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.92 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.92 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.92 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.92 X7)
% 16.01/2.92 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.92 X6 @ X7 @ X8)
% 16.01/2.92 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.92 X6 @ X7 @ X8 @ X9)
% 16.01/2.92 | (ssPv16_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.92 X6 @ X7 @ X8 @ X9)
% 16.01/2.92 | ~ (ssPv16_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.92 X5 @ X6 @ X7 @ X8 @ X9 @ X10)))
% 16.01/2.92 <= ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.92 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 16.01/2.92 (~ (ssNder1_1r1 @ X0)
% 16.01/2.92 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.92 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.92 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.92 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.92 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.92 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.92 X6)
% 16.01/2.92 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.92 X5 @ X6 @ X7)
% 16.01/2.92 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.92 X5 @ X6 @ X7 @ X8)
% 16.01/2.92 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.92 X4 @ X5 @ X6 @ X7 @ X8 @ X9)
% 16.01/2.92 | (ssPv16_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.92 X5 @ X6 @ X7 @ X8 @ X9)
% 16.01/2.92 | ~ (ssPv16_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.92 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10))))),
% 16.01/2.92 inference('split', [status(esa)], [zip_derived_cl171])).
% 16.01/2.92 thf(zip_derived_cl1634, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl544, '2'])).
% 16.01/2.92 thf(zip_derived_cl1646, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl1645, '4'])).
% 16.01/2.92 thf(zip_derived_cl1717, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl1716, '6'])).
% 16.01/2.92 thf(zip_derived_cl1805, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 16.01/2.92 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl1804, '10'])).
% 16.01/2.92 thf(zip_derived_cl1967, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 16.01/2.92 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl1966, '12'])).
% 16.01/2.92 thf(zip_derived_cl2176, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 16.01/2.92 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl2175, '14'])).
% 16.01/2.92 thf(zip_derived_cl2322, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 16.01/2.92 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl2321, '16'])).
% 16.01/2.92 thf(zip_derived_cl2380, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 16.01/2.92 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl2379, '18'])).
% 16.01/2.92 thf(zip_derived_cl2438, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.92 X7 : $i, X8 : $i]:
% 16.01/2.92 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.92 X7 @ X8)),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl2437, '20'])).
% 16.01/2.92 thf(zip_derived_cl2499, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.92 X7 : $i, X8 : $i, X9 : $i]:
% 16.01/2.92 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.92 X7 @ X8 @ X9)),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl2498, '34'])).
% 16.01/2.92 thf(zip_derived_cl2579, plain,
% 16.01/2.92 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.92 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 16.01/2.92 ( (ssPv16_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.92 X6 @ X7 @ X8 @ X9)
% 16.01/2.92 | ~ (ssPv16_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.92 X5 @ X6 @ X7 @ X8 @ X9 @ X10)))
% 16.01/2.92 <= ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.92 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 16.01/2.92 (~ (ssNder1_1r1 @ X0)
% 16.01/2.92 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.92 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.92 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.92 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.92 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.92 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.92 X6)
% 16.01/2.92 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.92 X5 @ X6 @ X7)
% 16.01/2.92 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.92 X5 @ X6 @ X7 @ X8)
% 16.01/2.92 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.92 X4 @ X5 @ X6 @ X7 @ X8 @ X9)
% 16.01/2.92 | (ssPv16_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.92 X5 @ X6 @ X7 @ X8 @ X9)
% 16.01/2.92 | ~ (ssPv16_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 16.01/2.92 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10))))),
% 16.01/2.92 inference('demod', [status(thm)],
% 16.01/2.92 [zip_derived_cl884, zip_derived_cl1634, zip_derived_cl1646,
% 16.01/2.92 zip_derived_cl1717, zip_derived_cl1805, zip_derived_cl1967,
% 16.01/2.92 zip_derived_cl2176, zip_derived_cl2322, zip_derived_cl2380,
% 16.01/2.92 zip_derived_cl2438, zip_derived_cl2499])).
% 16.01/2.92 thf('129', plain,
% 16.01/2.92 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.92 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 16.01/2.92 (~ (ssNder1_1r1 @ X0)
% 16.01/2.92 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.92 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.92 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.92 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.92 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.92 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.92 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.92 X7)
% 16.01/2.92 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.92 X6 @ X7 @ X8)
% 16.01/2.92 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.92 X6 @ X7 @ X8 @ X9)
% 16.01/2.92 | (ssPv16_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.92 X6 @ X7 @ X8 @ X9)
% 16.01/2.92 | ~ (ssPv16_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.92 X5 @ X6 @ X7 @ X8 @ X9 @ X10))) |
% 16.01/2.92 ~ ( (ssNder1_0))),
% 16.01/2.92 inference('split', [status(esa)], [zip_derived_cl171])).
% 16.01/2.92 thf('130', plain,
% 16.01/2.92 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.92 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 16.01/2.92 (~ (ssNder1_1r1 @ X0)
% 16.01/2.92 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.92 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.92 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.92 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.92 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.92 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.92 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.92 X7)
% 16.01/2.92 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.92 X6 @ X7 @ X8)
% 16.01/2.92 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.92 X6 @ X7 @ X8 @ X9)
% 16.01/2.92 | (ssPv16_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.92 X6 @ X7 @ X8 @ X9)
% 16.01/2.92 | ~ (ssPv16_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.92 X5 @ X6 @ X7 @ X8 @ X9 @ X10)))),
% 16.01/2.92 inference('sat_resolution*', [status(thm)], ['0', '129'])).
% 16.01/2.92 thf(zip_derived_cl2580, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.92 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 16.01/2.92 ( (ssPv16_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.92 X7 @ X8 @ X9)
% 16.01/2.92 | ~ (ssPv16_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.92 X6 @ X7 @ X8 @ X9 @ X10))),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl2579, '130'])).
% 16.01/2.92 thf(zip_derived_cl3909, plain,
% 16.01/2.92 (![X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i,
% 16.01/2.92 X8 : $i, X9 : $i, X10 : $i]:
% 16.01/2.92 ( (ssPv15_8r1r1r1r1r1r1r1r1 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3)
% 16.01/2.92 | (ssPv14_10r1r1r1r1r1r1r1r1r1r1 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @
% 16.01/2.92 X4 @ X3 @ X2 @ X1)
% 16.01/2.92 | (ssPv13_8r1r1r1r1r1r1r1r1 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3)
% 16.01/2.92 | (ssPv16_10r1r1r1r1r1r1r1r1r1r1 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @
% 16.01/2.92 X4 @ X3 @ X2 @ X1))),
% 16.01/2.92 inference('s_sup-', [status(thm)],
% 16.01/2.92 [zip_derived_cl3907, zip_derived_cl2580])).
% 16.01/2.92 thf(clause158, conjecture,
% 16.01/2.92 (~( ( ssPv16_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) |
% 16.01/2.92 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 16.01/2.92 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 16.01/2.92 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 16.01/2.92 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 16.01/2.92 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 16.01/2.92 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 16.01/2.92 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 16.01/2.92 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 16.01/2.92 ( ~( ssPv16_10r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.92 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 16.01/2.92 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) ))).
% 16.01/2.92 thf(zf_stmt_66, negated_conjecture,
% 16.01/2.92 (( ssPv16_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) |
% 16.01/2.92 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 16.01/2.92 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 16.01/2.92 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 16.01/2.92 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 16.01/2.92 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 16.01/2.92 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 16.01/2.92 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 16.01/2.92 ( ~( ssPv16_10r1r1r1r1r1r1r1r1r1r1 @
% 16.01/2.92 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 16.01/2.92 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) )),
% 16.01/2.92 inference('cnf.neg', [status(esa)], [clause158])).
% 16.01/2.92 thf(zip_derived_cl157, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.92 X7 : $i, X8 : $i, X9 : $i]:
% 16.01/2.92 ( (ssPv16_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.92 X7 @ X8)
% 16.01/2.92 | ~ (ssNder1_0)
% 16.01/2.92 | ~ (ssNder1_1r1 @ X0)
% 16.01/2.92 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.92 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.92 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.92 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.92 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.92 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.92 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.92 X7)
% 16.01/2.92 | ~ (ssPv16_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.92 X6 @ X7 @ X8 @ X9)
% 16.01/2.92 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.92 X6 @ X7 @ X8))),
% 16.01/2.92 inference('cnf', [status(esa)], [zf_stmt_66])).
% 16.01/2.92 thf(zip_derived_cl856, plain,
% 16.01/2.92 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.92 X7 : $i, X8 : $i, X9 : $i]:
% 16.01/2.92 (~ (ssNder1_1r1 @ X0)
% 16.01/2.92 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.92 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.92 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.92 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.92 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.92 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.92 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.92 X7)
% 16.01/2.92 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.92 X6 @ X7 @ X8)
% 16.01/2.92 | (ssPv16_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.92 X7 @ X8)
% 16.01/2.92 | ~ (ssPv16_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.92 X6 @ X7 @ X8 @ X9)))
% 16.01/2.92 <= ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.92 X7 : $i, X8 : $i, X9 : $i]:
% 16.01/2.92 (~ (ssNder1_1r1 @ X0)
% 16.01/2.92 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.92 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.92 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.92 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.92 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.92 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.92 X6)
% 16.01/2.92 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.92 X5 @ X6 @ X7)
% 16.01/2.92 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.92 X5 @ X6 @ X7 @ X8)
% 16.01/2.92 | (ssPv16_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.92 X5 @ X6 @ X7 @ X8)
% 16.01/2.92 | ~ (ssPv16_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.92 X5 @ X6 @ X7 @ X8 @ X9))))),
% 16.01/2.92 inference('split', [status(esa)], [zip_derived_cl157])).
% 16.01/2.92 thf(zip_derived_cl1634, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl544, '2'])).
% 16.01/2.92 thf(zip_derived_cl1646, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl1645, '4'])).
% 16.01/2.92 thf(zip_derived_cl1717, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl1716, '6'])).
% 16.01/2.92 thf(zip_derived_cl1805, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 16.01/2.92 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl1804, '10'])).
% 16.01/2.92 thf(zip_derived_cl1967, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 16.01/2.92 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl1966, '12'])).
% 16.01/2.92 thf(zip_derived_cl2176, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 16.01/2.92 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl2175, '14'])).
% 16.01/2.92 thf(zip_derived_cl2322, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 16.01/2.92 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl2321, '16'])).
% 16.01/2.92 thf(zip_derived_cl2380, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 16.01/2.92 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl2379, '18'])).
% 16.01/2.92 thf(zip_derived_cl2438, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.92 X7 : $i, X8 : $i]:
% 16.01/2.92 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.92 X7 @ X8)),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl2437, '20'])).
% 16.01/2.92 thf(zip_derived_cl2528, plain,
% 16.01/2.92 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.92 X7 : $i, X8 : $i, X9 : $i]:
% 16.01/2.92 ( (ssPv16_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.92 X7 @ X8)
% 16.01/2.92 | ~ (ssPv16_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.92 X6 @ X7 @ X8 @ X9)))
% 16.01/2.92 <= ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.92 X7 : $i, X8 : $i, X9 : $i]:
% 16.01/2.92 (~ (ssNder1_1r1 @ X0)
% 16.01/2.92 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.92 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.92 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.92 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.92 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.92 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.92 X6)
% 16.01/2.92 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.92 X5 @ X6 @ X7)
% 16.01/2.92 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.92 X5 @ X6 @ X7 @ X8)
% 16.01/2.92 | (ssPv16_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.92 X5 @ X6 @ X7 @ X8)
% 16.01/2.92 | ~ (ssPv16_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.92 X5 @ X6 @ X7 @ X8 @ X9))))),
% 16.01/2.92 inference('demod', [status(thm)],
% 16.01/2.92 [zip_derived_cl856, zip_derived_cl1634, zip_derived_cl1646,
% 16.01/2.92 zip_derived_cl1717, zip_derived_cl1805, zip_derived_cl1967,
% 16.01/2.92 zip_derived_cl2176, zip_derived_cl2322, zip_derived_cl2380,
% 16.01/2.92 zip_derived_cl2438])).
% 16.01/2.92 thf('131', plain,
% 16.01/2.92 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.92 X7 : $i, X8 : $i, X9 : $i]:
% 16.01/2.92 (~ (ssNder1_1r1 @ X0)
% 16.01/2.92 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.92 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.92 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.92 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.92 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.92 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.92 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.92 X7)
% 16.01/2.92 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.92 X6 @ X7 @ X8)
% 16.01/2.92 | (ssPv16_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.92 X7 @ X8)
% 16.01/2.92 | ~ (ssPv16_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.92 X6 @ X7 @ X8 @ X9))) |
% 16.01/2.92 ~ ( (ssNder1_0))),
% 16.01/2.92 inference('split', [status(esa)], [zip_derived_cl157])).
% 16.01/2.92 thf('132', plain,
% 16.01/2.92 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.92 X7 : $i, X8 : $i, X9 : $i]:
% 16.01/2.92 (~ (ssNder1_1r1 @ X0)
% 16.01/2.92 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.92 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.92 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.92 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.92 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.92 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.92 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.92 X7)
% 16.01/2.92 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.92 X6 @ X7 @ X8)
% 16.01/2.92 | (ssPv16_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.92 X7 @ X8)
% 16.01/2.92 | ~ (ssPv16_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.92 X6 @ X7 @ X8 @ X9)))),
% 16.01/2.92 inference('sat_resolution*', [status(thm)], ['0', '131'])).
% 16.01/2.92 thf(zip_derived_cl2529, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.92 X7 : $i, X8 : $i, X9 : $i]:
% 16.01/2.92 ( (ssPv16_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.92 X7 @ X8)
% 16.01/2.92 | ~ (ssPv16_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.92 X6 @ X7 @ X8 @ X9))),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl2528, '132'])).
% 16.01/2.92 thf(zip_derived_cl3911, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.92 X7 : $i, X8 : $i, X9 : $i]:
% 16.01/2.92 ( (ssPv13_8r1r1r1r1r1r1r1r1 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2)
% 16.01/2.92 | (ssPv14_10r1r1r1r1r1r1r1r1r1r1 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @
% 16.01/2.92 X3 @ X2 @ X1 @ X0)
% 16.01/2.92 | (ssPv15_8r1r1r1r1r1r1r1r1 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2)
% 16.01/2.92 | (ssPv16_9r1r1r1r1r1r1r1r1r1 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @
% 16.01/2.92 X2 @ X1))),
% 16.01/2.92 inference('s_sup-', [status(thm)],
% 16.01/2.92 [zip_derived_cl3909, zip_derived_cl2529])).
% 16.01/2.92 thf(zip_derived_cl2533, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.92 X7 : $i, X8 : $i, X9 : $i]:
% 16.01/2.92 ( (ssPv14_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.92 X7 @ X8)
% 16.01/2.92 | ~ (ssPv14_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.92 X6 @ X7 @ X8 @ X9))),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl2532, '96'])).
% 16.01/2.92 thf(zip_derived_cl3913, plain,
% 16.01/2.92 (![X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i,
% 16.01/2.92 X8 : $i, X9 : $i]:
% 16.01/2.92 ( (ssPv16_9r1r1r1r1r1r1r1r1r1 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @
% 16.01/2.92 X2 @ X1)
% 16.01/2.92 | (ssPv15_8r1r1r1r1r1r1r1r1 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2)
% 16.01/2.92 | (ssPv13_8r1r1r1r1r1r1r1r1 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2)
% 16.01/2.92 | (ssPv14_9r1r1r1r1r1r1r1r1r1 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @
% 16.01/2.92 X2 @ X1))),
% 16.01/2.92 inference('s_sup-', [status(thm)],
% 16.01/2.92 [zip_derived_cl3911, zip_derived_cl2533])).
% 16.01/2.92 thf(clause128, conjecture,
% 16.01/2.92 (~( ( ssPv16_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) |
% 16.01/2.92 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 16.01/2.92 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 16.01/2.92 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 16.01/2.92 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 16.01/2.92 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 16.01/2.92 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 16.01/2.92 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 16.01/2.92 ( ~( ssPv16_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 16.01/2.92 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) ))).
% 16.01/2.92 thf(zf_stmt_67, negated_conjecture,
% 16.01/2.92 (( ssPv16_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) |
% 16.01/2.92 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 16.01/2.92 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 16.01/2.92 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 16.01/2.92 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 16.01/2.92 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 16.01/2.92 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 16.01/2.92 ( ~( ssPv16_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 16.01/2.92 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) )),
% 16.01/2.92 inference('cnf.neg', [status(esa)], [clause128])).
% 16.01/2.92 thf(zip_derived_cl127, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.92 X7 : $i, X8 : $i]:
% 16.01/2.92 ( (ssPv16_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)
% 16.01/2.92 | ~ (ssNder1_0)
% 16.01/2.92 | ~ (ssNder1_1r1 @ X0)
% 16.01/2.92 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.92 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.92 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.92 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.92 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.92 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.92 | ~ (ssPv16_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.92 X7 @ X8)
% 16.01/2.92 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.92 X7))),
% 16.01/2.92 inference('cnf', [status(esa)], [zf_stmt_67])).
% 16.01/2.92 thf(zip_derived_cl796, plain,
% 16.01/2.92 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.92 X7 : $i, X8 : $i]:
% 16.01/2.92 (~ (ssNder1_1r1 @ X0)
% 16.01/2.92 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.92 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.92 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.92 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.92 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.92 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.92 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.92 X7)
% 16.01/2.92 | (ssPv16_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)
% 16.01/2.92 | ~ (ssPv16_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.92 X6 @ X7 @ X8)))
% 16.01/2.92 <= ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.92 X7 : $i, X8 : $i]:
% 16.01/2.92 (~ (ssNder1_1r1 @ X0)
% 16.01/2.92 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.92 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.92 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.92 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.92 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.92 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.92 X6)
% 16.01/2.92 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.92 X5 @ X6 @ X7)
% 16.01/2.92 | (ssPv16_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.92 X6 @ X7)
% 16.01/2.92 | ~ (ssPv16_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.92 X5 @ X6 @ X7 @ X8))))),
% 16.01/2.92 inference('split', [status(esa)], [zip_derived_cl127])).
% 16.01/2.92 thf(zip_derived_cl1634, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl544, '2'])).
% 16.01/2.92 thf(zip_derived_cl1646, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl1645, '4'])).
% 16.01/2.92 thf(zip_derived_cl1717, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl1716, '6'])).
% 16.01/2.92 thf(zip_derived_cl1805, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 16.01/2.92 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl1804, '10'])).
% 16.01/2.92 thf(zip_derived_cl1967, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 16.01/2.92 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl1966, '12'])).
% 16.01/2.92 thf(zip_derived_cl2176, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 16.01/2.92 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl2175, '14'])).
% 16.01/2.92 thf(zip_derived_cl2322, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 16.01/2.92 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl2321, '16'])).
% 16.01/2.92 thf(zip_derived_cl2380, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 16.01/2.92 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl2379, '18'])).
% 16.01/2.92 thf(zip_derived_cl2456, plain,
% 16.01/2.92 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.92 X7 : $i, X8 : $i]:
% 16.01/2.92 ( (ssPv16_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)
% 16.01/2.92 | ~ (ssPv16_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.92 X6 @ X7 @ X8)))
% 16.01/2.92 <= ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.92 X7 : $i, X8 : $i]:
% 16.01/2.92 (~ (ssNder1_1r1 @ X0)
% 16.01/2.92 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.92 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.92 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.92 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.92 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.92 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.92 X6)
% 16.01/2.92 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.92 X5 @ X6 @ X7)
% 16.01/2.92 | (ssPv16_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.92 X6 @ X7)
% 16.01/2.92 | ~ (ssPv16_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 16.01/2.92 X5 @ X6 @ X7 @ X8))))),
% 16.01/2.92 inference('demod', [status(thm)],
% 16.01/2.92 [zip_derived_cl796, zip_derived_cl1634, zip_derived_cl1646,
% 16.01/2.92 zip_derived_cl1717, zip_derived_cl1805, zip_derived_cl1967,
% 16.01/2.92 zip_derived_cl2176, zip_derived_cl2322, zip_derived_cl2380])).
% 16.01/2.92 thf('133', plain,
% 16.01/2.92 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.92 X7 : $i, X8 : $i]:
% 16.01/2.92 (~ (ssNder1_1r1 @ X0)
% 16.01/2.92 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.92 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.92 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.92 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.92 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.92 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.92 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.92 X7)
% 16.01/2.92 | (ssPv16_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)
% 16.01/2.92 | ~ (ssPv16_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.92 X6 @ X7 @ X8))) |
% 16.01/2.92 ~ ( (ssNder1_0))),
% 16.01/2.92 inference('split', [status(esa)], [zip_derived_cl127])).
% 16.01/2.92 thf('134', plain,
% 16.01/2.92 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.92 X7 : $i, X8 : $i]:
% 16.01/2.92 (~ (ssNder1_1r1 @ X0)
% 16.01/2.92 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.92 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.92 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.92 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.92 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.92 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.92 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.92 X7)
% 16.01/2.92 | (ssPv16_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)
% 16.01/2.92 | ~ (ssPv16_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.92 X6 @ X7 @ X8)))),
% 16.01/2.92 inference('sat_resolution*', [status(thm)], ['0', '133'])).
% 16.01/2.92 thf(zip_derived_cl2457, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.92 X7 : $i, X8 : $i]:
% 16.01/2.92 ( (ssPv16_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)
% 16.01/2.92 | ~ (ssPv16_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.92 X7 @ X8))),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl2456, '134'])).
% 16.01/2.92 thf(zip_derived_cl3916, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.92 X7 : $i, X8 : $i]:
% 16.01/2.92 ( (ssPv14_9r1r1r1r1r1r1r1r1r1 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @
% 16.01/2.92 X1 @ X0)
% 16.01/2.92 | (ssPv13_8r1r1r1r1r1r1r1r1 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1)
% 16.01/2.92 | (ssPv15_8r1r1r1r1r1r1r1r1 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1)
% 16.01/2.92 | (ssPv16_8r1r1r1r1r1r1r1r1 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1))),
% 16.01/2.92 inference('s_sup-', [status(thm)],
% 16.01/2.92 [zip_derived_cl3913, zip_derived_cl2457])).
% 16.01/2.92 thf(zip_derived_cl2461, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.92 X7 : $i, X8 : $i]:
% 16.01/2.92 ( (ssPv14_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)
% 16.01/2.92 | ~ (ssPv14_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.92 X7 @ X8))),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl2460, '102'])).
% 16.01/2.92 thf(zip_derived_cl3919, plain,
% 16.01/2.92 (![X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i, X8 : $i]:
% 16.01/2.92 ( (ssPv16_8r1r1r1r1r1r1r1r1 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1)
% 16.01/2.92 | (ssPv15_8r1r1r1r1r1r1r1r1 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1)
% 16.01/2.92 | (ssPv13_8r1r1r1r1r1r1r1r1 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1)
% 16.01/2.92 | (ssPv14_8r1r1r1r1r1r1r1r1 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1))),
% 16.01/2.92 inference('s_sup-', [status(thm)],
% 16.01/2.92 [zip_derived_cl3916, zip_derived_cl2461])).
% 16.01/2.92 thf(clause102, conjecture,
% 16.01/2.92 (~( ( ssPv16_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) |
% 16.01/2.92 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 16.01/2.92 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 16.01/2.92 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 16.01/2.92 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 16.01/2.92 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 16.01/2.92 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 16.01/2.92 ( ~( ssPv16_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 16.01/2.92 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) ))).
% 16.01/2.92 thf(zf_stmt_68, negated_conjecture,
% 16.01/2.92 (( ssPv16_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) |
% 16.01/2.92 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 16.01/2.92 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 16.01/2.92 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 16.01/2.92 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 16.01/2.92 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 16.01/2.92 ( ~( ssPv16_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 16.01/2.92 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) )),
% 16.01/2.92 inference('cnf.neg', [status(esa)], [clause102])).
% 16.01/2.92 thf(zip_derived_cl101, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 16.01/2.92 ( (ssPv16_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.92 | ~ (ssNder1_0)
% 16.01/2.92 | ~ (ssNder1_1r1 @ X0)
% 16.01/2.92 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.92 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.92 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.92 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.92 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.92 | ~ (ssPv16_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)
% 16.01/2.92 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6))),
% 16.01/2.92 inference('cnf', [status(esa)], [zf_stmt_68])).
% 16.01/2.92 thf(zip_derived_cl744, plain,
% 16.01/2.92 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.92 X7 : $i]:
% 16.01/2.92 (~ (ssNder1_1r1 @ X0)
% 16.01/2.92 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.92 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.92 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.92 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.92 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.92 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.92 | (ssPv16_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.92 | ~ (ssPv16_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.92 X7)))
% 16.01/2.92 <= ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.92 X7 : $i]:
% 16.01/2.92 (~ (ssNder1_1r1 @ X0)
% 16.01/2.92 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.92 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.92 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.92 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.92 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.92 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.92 X6)
% 16.01/2.92 | (ssPv16_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.92 | ~ (ssPv16_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.92 X6 @ X7))))),
% 16.01/2.92 inference('split', [status(esa)], [zip_derived_cl101])).
% 16.01/2.92 thf(zip_derived_cl1634, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl544, '2'])).
% 16.01/2.92 thf(zip_derived_cl1646, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl1645, '4'])).
% 16.01/2.92 thf(zip_derived_cl1717, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl1716, '6'])).
% 16.01/2.92 thf(zip_derived_cl1805, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 16.01/2.92 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl1804, '10'])).
% 16.01/2.92 thf(zip_derived_cl1967, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 16.01/2.92 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl1966, '12'])).
% 16.01/2.92 thf(zip_derived_cl2176, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 16.01/2.92 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl2175, '14'])).
% 16.01/2.92 thf(zip_derived_cl2322, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 16.01/2.92 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl2321, '16'])).
% 16.01/2.92 thf(zip_derived_cl2406, plain,
% 16.01/2.92 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.92 X7 : $i]:
% 16.01/2.92 ( (ssPv16_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.92 | ~ (ssPv16_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.92 X7)))
% 16.01/2.92 <= ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.92 X7 : $i]:
% 16.01/2.92 (~ (ssNder1_1r1 @ X0)
% 16.01/2.92 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.92 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.92 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.92 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.92 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.92 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.92 X6)
% 16.01/2.92 | (ssPv16_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.92 | ~ (ssPv16_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 16.01/2.92 X6 @ X7))))),
% 16.01/2.92 inference('demod', [status(thm)],
% 16.01/2.92 [zip_derived_cl744, zip_derived_cl1634, zip_derived_cl1646,
% 16.01/2.92 zip_derived_cl1717, zip_derived_cl1805, zip_derived_cl1967,
% 16.01/2.92 zip_derived_cl2176, zip_derived_cl2322])).
% 16.01/2.92 thf('135', plain,
% 16.01/2.92 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.92 X7 : $i]:
% 16.01/2.92 (~ (ssNder1_1r1 @ X0)
% 16.01/2.92 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.92 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.92 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.92 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.92 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.92 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.92 | (ssPv16_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.92 | ~ (ssPv16_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.92 X7))) |
% 16.01/2.92 ~ ( (ssNder1_0))),
% 16.01/2.92 inference('split', [status(esa)], [zip_derived_cl101])).
% 16.01/2.92 thf('136', plain,
% 16.01/2.92 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.01/2.92 X7 : $i]:
% 16.01/2.92 (~ (ssNder1_1r1 @ X0)
% 16.01/2.92 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.92 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.92 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.92 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.92 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.92 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.92 | (ssPv16_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.92 | ~ (ssPv16_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 16.01/2.92 X7)))),
% 16.01/2.92 inference('sat_resolution*', [status(thm)], ['0', '135'])).
% 16.01/2.92 thf(zip_derived_cl2407, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 16.01/2.92 ( (ssPv16_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.92 | ~ (ssPv16_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7))),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl2406, '136'])).
% 16.01/2.92 thf(zip_derived_cl3922, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 16.01/2.92 ( (ssPv14_8r1r1r1r1r1r1r1r1 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 16.01/2.92 | (ssPv13_8r1r1r1r1r1r1r1r1 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 16.01/2.92 | (ssPv15_8r1r1r1r1r1r1r1r1 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 16.01/2.92 | (ssPv16_7r1r1r1r1r1r1r1 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1))),
% 16.01/2.92 inference('s_sup-', [status(thm)],
% 16.01/2.92 [zip_derived_cl3919, zip_derived_cl2407])).
% 16.01/2.92 thf(zip_derived_cl2411, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 16.01/2.92 (~ (ssPv14_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)
% 16.01/2.92 | (ssPv14_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6))),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl2410, '106'])).
% 16.01/2.92 thf(zip_derived_cl3924, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 16.01/2.92 ( (ssPv16_7r1r1r1r1r1r1r1 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1)
% 16.01/2.92 | (ssPv15_8r1r1r1r1r1r1r1r1 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 16.01/2.92 | (ssPv13_8r1r1r1r1r1r1r1r1 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 16.01/2.92 | (ssPv14_7r1r1r1r1r1r1r1 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1))),
% 16.01/2.92 inference('s_sup-', [status(thm)],
% 16.01/2.92 [zip_derived_cl3922, zip_derived_cl2411])).
% 16.01/2.92 thf(zip_derived_cl2409, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 16.01/2.92 ( (ssPv15_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.92 | ~ (ssPv15_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7))),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl2408, '110'])).
% 16.01/2.92 thf(zip_derived_cl3925, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 16.01/2.92 ( (ssPv14_7r1r1r1r1r1r1r1 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1)
% 16.01/2.92 | (ssPv13_8r1r1r1r1r1r1r1r1 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 16.01/2.92 | (ssPv16_7r1r1r1r1r1r1r1 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1)
% 16.01/2.92 | (ssPv15_7r1r1r1r1r1r1r1 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1))),
% 16.01/2.92 inference('s_sup-', [status(thm)],
% 16.01/2.92 [zip_derived_cl3924, zip_derived_cl2409])).
% 16.01/2.92 thf(zip_derived_cl2351, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 16.01/2.92 ( (ssPv15_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.92 | ~ (ssPv15_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6))),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl2350, '112'])).
% 16.01/2.92 thf(zip_derived_cl3938, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 16.01/2.92 ( (ssPv16_7r1r1r1r1r1r1r1 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 16.01/2.92 | (ssPv13_8r1r1r1r1r1r1r1r1 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X7)
% 16.01/2.92 | (ssPv14_7r1r1r1r1r1r1r1 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 16.01/2.92 | (ssPv15_6r1r1r1r1r1r1 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1))),
% 16.01/2.92 inference('s_sup-', [status(thm)],
% 16.01/2.92 [zip_derived_cl3925, zip_derived_cl2351])).
% 16.01/2.92 thf(clause80, conjecture,
% 16.01/2.92 (~( ( ssPv16_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) |
% 16.01/2.92 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 16.01/2.92 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 16.01/2.92 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 16.01/2.92 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 16.01/2.92 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 16.01/2.92 ( ~( ssPv16_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 16.01/2.92 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) ))).
% 16.01/2.92 thf(zf_stmt_69, negated_conjecture,
% 16.01/2.92 (( ssPv16_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) | ( ~( ssNder1_0 ) ) |
% 16.01/2.92 ( ~( ssNder1_1r1 @ U ) ) | ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 16.01/2.92 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 16.01/2.92 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 16.01/2.92 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 16.01/2.92 ( ~( ssPv16_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 16.01/2.92 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) )),
% 16.01/2.92 inference('cnf.neg', [status(esa)], [clause80])).
% 16.01/2.92 thf(zip_derived_cl79, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 16.01/2.92 ( (ssPv16_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.92 | ~ (ssNder1_0)
% 16.01/2.92 | ~ (ssNder1_1r1 @ X0)
% 16.01/2.92 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.92 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.92 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.92 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.92 | ~ (ssPv16_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 16.01/2.92 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5))),
% 16.01/2.92 inference('cnf', [status(esa)], [zf_stmt_69])).
% 16.01/2.92 thf(zip_derived_cl700, plain,
% 16.01/2.92 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 16.01/2.92 (~ (ssNder1_1r1 @ X0)
% 16.01/2.92 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.92 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.92 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.92 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.92 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.92 | (ssPv16_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.92 | ~ (ssPv16_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)))
% 16.01/2.92 <= ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 16.01/2.92 (~ (ssNder1_1r1 @ X0)
% 16.01/2.92 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.92 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.92 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.92 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.92 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.92 | (ssPv16_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.92 | ~ (ssPv16_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6))))),
% 16.01/2.92 inference('split', [status(esa)], [zip_derived_cl79])).
% 16.01/2.92 thf(zip_derived_cl1634, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl544, '2'])).
% 16.01/2.92 thf(zip_derived_cl1646, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl1645, '4'])).
% 16.01/2.92 thf(zip_derived_cl1717, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl1716, '6'])).
% 16.01/2.92 thf(zip_derived_cl1805, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 16.01/2.92 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl1804, '10'])).
% 16.01/2.92 thf(zip_derived_cl1967, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 16.01/2.92 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl1966, '12'])).
% 16.01/2.92 thf(zip_derived_cl2176, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 16.01/2.92 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl2175, '14'])).
% 16.01/2.92 thf(zip_derived_cl2348, plain,
% 16.01/2.92 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 16.01/2.92 ( (ssPv16_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.92 | ~ (ssPv16_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)))
% 16.01/2.92 <= ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 16.01/2.92 (~ (ssNder1_1r1 @ X0)
% 16.01/2.92 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.92 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.92 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.92 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.92 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.92 | (ssPv16_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.92 | ~ (ssPv16_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6))))),
% 16.01/2.92 inference('demod', [status(thm)],
% 16.01/2.92 [zip_derived_cl700, zip_derived_cl1634, zip_derived_cl1646,
% 16.01/2.92 zip_derived_cl1717, zip_derived_cl1805, zip_derived_cl1967,
% 16.01/2.92 zip_derived_cl2176])).
% 16.01/2.92 thf('137', plain,
% 16.01/2.92 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 16.01/2.92 (~ (ssNder1_1r1 @ X0)
% 16.01/2.92 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.92 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.92 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.92 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.92 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.92 | (ssPv16_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.92 | ~ (ssPv16_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6))) |
% 16.01/2.92 ~ ( (ssNder1_0))),
% 16.01/2.92 inference('split', [status(esa)], [zip_derived_cl79])).
% 16.01/2.92 thf('138', plain,
% 16.01/2.92 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 16.01/2.92 (~ (ssNder1_1r1 @ X0)
% 16.01/2.92 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.92 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.92 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.92 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.92 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.92 | (ssPv16_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.92 | ~ (ssPv16_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)))),
% 16.01/2.92 inference('sat_resolution*', [status(thm)], ['0', '137'])).
% 16.01/2.92 thf(zip_derived_cl2349, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 16.01/2.92 ( (ssPv16_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.92 | ~ (ssPv16_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6))),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl2348, '138'])).
% 16.01/2.92 thf(zip_derived_cl3940, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 16.01/2.92 ( (ssPv15_6r1r1r1r1r1r1 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1)
% 16.01/2.92 | (ssPv14_7r1r1r1r1r1r1r1 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 16.01/2.92 | (ssPv13_8r1r1r1r1r1r1r1r1 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X7)
% 16.01/2.92 | (ssPv16_6r1r1r1r1r1r1 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1))),
% 16.01/2.92 inference('s_sup-', [status(thm)],
% 16.01/2.92 [zip_derived_cl3938, zip_derived_cl2349])).
% 16.01/2.92 thf(zip_derived_cl2295, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 16.01/2.92 ~ (ssPv13_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ skc25)),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl2294, '114'])).
% 16.01/2.92 thf(zip_derived_cl3942, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 16.01/2.92 ( (ssPv16_6r1r1r1r1r1r1 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1)
% 16.01/2.92 | (ssPv14_7r1r1r1r1r1r1r1 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 16.01/2.92 | (ssPv15_6r1r1r1r1r1r1 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1))),
% 16.01/2.92 inference('s_sup-', [status(thm)],
% 16.01/2.92 [zip_derived_cl3940, zip_derived_cl2295])).
% 16.01/2.92 thf(clause59, conjecture,
% 16.01/2.92 (~( ( ssPv16_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) | ( ~( ssNder1_0 ) ) |
% 16.01/2.92 ( ~( ssNder1_1r1 @ U ) ) | ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 16.01/2.92 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 16.01/2.92 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 16.01/2.92 ( ~( ssPv16_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 16.01/2.92 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) ))).
% 16.01/2.92 thf(zf_stmt_70, negated_conjecture,
% 16.01/2.92 (( ssPv16_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) | ( ~( ssNder1_0 ) ) |
% 16.01/2.92 ( ~( ssNder1_1r1 @ U ) ) | ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 16.01/2.92 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 16.01/2.92 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 16.01/2.92 ( ~( ssPv16_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 16.01/2.92 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) )),
% 16.01/2.92 inference('cnf.neg', [status(esa)], [clause59])).
% 16.01/2.92 thf(zip_derived_cl58, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 16.01/2.92 ( (ssPv16_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.92 | ~ (ssNder1_0)
% 16.01/2.92 | ~ (ssNder1_1r1 @ X0)
% 16.01/2.92 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.92 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.92 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.92 | ~ (ssPv16_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 16.01/2.92 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4))),
% 16.01/2.92 inference('cnf', [status(esa)], [zf_stmt_70])).
% 16.01/2.92 thf(zip_derived_cl658, plain,
% 16.01/2.92 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 16.01/2.92 (~ (ssNder1_1r1 @ X0)
% 16.01/2.92 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.92 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.92 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.92 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.92 | (ssPv16_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.92 | ~ (ssPv16_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)))
% 16.01/2.92 <= ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 16.01/2.92 (~ (ssNder1_1r1 @ X0)
% 16.01/2.92 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.92 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.92 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.92 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.92 | (ssPv16_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.92 | ~ (ssPv16_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5))))),
% 16.01/2.92 inference('split', [status(esa)], [zip_derived_cl58])).
% 16.01/2.92 thf(zip_derived_cl1634, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl544, '2'])).
% 16.01/2.92 thf(zip_derived_cl1646, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl1645, '4'])).
% 16.01/2.92 thf(zip_derived_cl1717, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl1716, '6'])).
% 16.01/2.92 thf(zip_derived_cl1805, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 16.01/2.92 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl1804, '10'])).
% 16.01/2.92 thf(zip_derived_cl1967, plain,
% 16.01/2.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 16.01/2.92 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 16.01/2.92 inference('simpl_trail', [status(thm)], [zip_derived_cl1966, '12'])).
% 16.01/2.92 thf(zip_derived_cl2304, plain,
% 16.01/2.92 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 16.01/2.92 ( (ssPv16_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.92 | ~ (ssPv16_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)))
% 16.01/2.92 <= ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 16.01/2.92 (~ (ssNder1_1r1 @ X0)
% 16.01/2.92 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.92 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.92 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.92 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.92 | (ssPv16_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.92 | ~ (ssPv16_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5))))),
% 16.01/2.92 inference('demod', [status(thm)],
% 16.01/2.92 [zip_derived_cl658, zip_derived_cl1634, zip_derived_cl1646,
% 16.01/2.92 zip_derived_cl1717, zip_derived_cl1805, zip_derived_cl1967])).
% 16.01/2.92 thf('139', plain,
% 16.01/2.92 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 16.01/2.92 (~ (ssNder1_1r1 @ X0)
% 16.01/2.93 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.93 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.93 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.93 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.93 | (ssPv16_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.93 | ~ (ssPv16_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5))) |
% 16.01/2.93 ~ ( (ssNder1_0))),
% 16.01/2.93 inference('split', [status(esa)], [zip_derived_cl58])).
% 16.01/2.93 thf('140', plain,
% 16.01/2.93 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 16.01/2.93 (~ (ssNder1_1r1 @ X0)
% 16.01/2.93 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 16.01/2.93 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 16.01/2.93 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 16.01/2.93 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.93 | (ssPv16_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.93 | ~ (ssPv16_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)))),
% 16.01/2.93 inference('sat_resolution*', [status(thm)], ['0', '139'])).
% 16.01/2.93 thf(zip_derived_cl2305, plain,
% 16.01/2.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 16.01/2.93 ( (ssPv16_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 16.01/2.93 | ~ (ssPv16_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5))),
% 16.01/2.93 inference('simpl_trail', [status(thm)], [zip_derived_cl2304, '140'])).
% 16.01/2.93 thf(zip_derived_cl3945, plain,
% 16.01/2.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 16.01/2.93 ( (ssPv15_6r1r1r1r1r1r1 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 16.01/2.93 | (ssPv14_7r1r1r1r1r1r1r1 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X6)
% 16.01/2.93 | (ssPv16_5r1r1r1r1r1 @ X5 @ X4 @ X3 @ X2 @ X1))),
% 16.01/2.93 inference('s_sup-', [status(thm)],
% 16.01/2.93 [zip_derived_cl3942, zip_derived_cl2305])).
% 16.01/2.93 thf(zip_derived_cl2236, plain,
% 16.01/2.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 16.01/2.93 ~ (ssPv14_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ skc27)),
% 16.01/2.93 inference('simpl_trail', [status(thm)], [zip_derived_cl2235, '118'])).
% 16.01/2.93 thf(zip_derived_cl3947, plain,
% 16.01/2.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 16.01/2.93 ( (ssPv16_5r1r1r1r1r1 @ X5 @ X4 @ X3 @ X2 @ X1)
% 16.01/2.93 | (ssPv15_6r1r1r1r1r1r1 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0))),
% 16.01/2.93 inference('s_sup-', [status(thm)],
% 16.01/2.93 [zip_derived_cl3945, zip_derived_cl2236])).
% 16.01/2.93 thf(zip_derived_cl2039, plain,
% 16.01/2.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 16.01/2.93 ~ (ssPv15_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ skc29)),
% 16.01/2.93 inference('simpl_trail', [status(thm)], [zip_derived_cl2038, '122'])).
% 16.01/2.93 thf(zip_derived_cl3949, plain,
% 16.01/2.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 16.01/2.93 (ssPv16_5r1r1r1r1r1 @ X4 @ X3 @ X2 @ X1 @ X0)),
% 16.01/2.93 inference('s_sup-', [status(thm)],
% 16.01/2.93 [zip_derived_cl3947, zip_derived_cl2039])).
% 16.01/2.93 thf(zip_derived_cl3951, plain, ($false),
% 16.01/2.93 inference('demod', [status(thm)],
% 16.01/2.93 [zip_derived_cl1865, zip_derived_cl3949])).
% 16.01/2.93
% 16.01/2.93 % SZS output end Refutation
% 16.01/2.93
% 16.01/2.93
% 16.01/2.93 % /export/starexec/sandbox/solver/bin/fo/fo1_lcnf.sh running for 50s
% 16.01/2.93 % Terminating...
% 16.55/3.00 % Runner terminated.
% 16.55/3.01 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------