TSTP Solution File: SYO647-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYO647-1 : TPTP v8.1.2. Released v7.3.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.qCkdyI2Oct true
% Computer : n013.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 05:52:24 EDT 2023
% Result : Unsatisfiable 14.13s 2.65s
% Output : Refutation 14.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SYO647-1 : TPTP v8.1.2. Released v7.3.0.
% 0.00/0.15 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.qCkdyI2Oct true
% 0.15/0.36 % Computer : n013.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Sat Aug 26 04:15:17 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % Running portfolio for 300 s
% 0.15/0.36 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.36 % Number of cores: 8
% 0.15/0.37 % Python version: Python 3.6.8
% 0.15/0.37 % Running in FO mode
% 0.23/0.64 % Total configuration time : 435
% 0.23/0.64 % Estimated wc time : 1092
% 0.23/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.23/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.23/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.23/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.23/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.23/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.23/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.23/0.85 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.33/1.09 % /export/starexec/sandbox2/solver/bin/fo/fo1_lcnf.sh running for 50s
% 1.33/1.13 % /export/starexec/sandbox2/solver/bin/fo/fo17_bce.sh running for 50s
% 2.05/1.24 % /export/starexec/sandbox2/solver/bin/fo/fo8.sh running for 50s
% 14.13/2.65 % Solved by fo/fo1_lcnf.sh.
% 14.13/2.65 % done 765 iterations in 1.522s
% 14.13/2.65 % SZS status Unsatisfiable for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 14.13/2.65 % SZS output start Refutation
% 14.13/2.65 thf(suc_type, type, suc: $i > $i).
% 14.13/2.65 thf(iLEQ_type, type, iLEQ: $i > $i > $o).
% 14.13/2.65 thf(f_type, type, f: $i > $i).
% 14.13/2.65 thf(0_type, type, 0: $i).
% 14.13/2.65 thf(E_type, type, E: $i > $i > $o).
% 14.13/2.65 thf(clause_3293, axiom,
% 14.13/2.65 (( ~( E @ 0 @ ( f @ ( suc @ ( suc @ A_0 ) ) ) ) ) |
% 14.13/2.65 ( ~( E @ ( f @ A_0 ) @ ( f @ ( suc @ ( suc @ A_0 ) ) ) ) ) |
% 14.13/2.65 ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ ( suc @ A_0 ) ) ) ) ) ) |
% 14.13/2.65 ( ~( E @ ( f @ A_0 ) @ ( f @ ( suc @ A_0 ) ) ) ) |
% 14.13/2.65 ( ~( E @ 0 @ ( f @ ( suc @ A_0 ) ) ) ) | ( ~( E @ 0 @ ( f @ A_0 ) ) ) |
% 14.13/2.65 ( iLEQ @ ( suc @ A_0 ) @ ( suc @ A_0 ) ))).
% 14.13/2.65 thf(zip_derived_cl10, plain,
% 14.13/2.65 (![X0 : $i]:
% 14.13/2.65 (((((~) @ (E @ 0 @ (f @ (suc @ (suc @ X0)))))) |
% 14.13/2.65 (((~) @ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0)))))) |
% 14.13/2.65 (((~) @ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0))))))) |
% 14.13/2.65 (((~) @ (E @ (f @ X0) @ (f @ (suc @ X0))))) |
% 14.13/2.65 (((~) @ (E @ 0 @ (f @ (suc @ X0))))) |
% 14.13/2.65 (((~) @ (E @ 0 @ (f @ X0)))) | (iLEQ @ (suc @ X0) @ (suc @ X0))))),
% 14.13/2.65 inference('cnf', [status(esa)], [clause_3293])).
% 14.13/2.65 thf(clause_6244, axiom, (E @ 0 @ ( f @ A ))).
% 14.13/2.65 thf(zip_derived_cl90, plain, (![X0 : $i]: (E @ 0 @ (f @ X0))),
% 14.13/2.65 inference('cnf', [status(esa)], [clause_6244])).
% 14.13/2.65 thf(zip_derived_cl90, plain, (![X0 : $i]: (E @ 0 @ (f @ X0))),
% 14.13/2.65 inference('cnf', [status(esa)], [clause_6244])).
% 14.13/2.65 thf(zip_derived_cl90, plain, (![X0 : $i]: (E @ 0 @ (f @ X0))),
% 14.13/2.65 inference('cnf', [status(esa)], [clause_6244])).
% 14.13/2.65 thf(zip_derived_cl90, plain, (![X0 : $i]: (E @ 0 @ (f @ X0))),
% 14.13/2.65 inference('cnf', [status(esa)], [clause_6244])).
% 14.13/2.65 thf(zip_derived_cl740, plain,
% 14.13/2.65 (![X0 : $i]:
% 14.13/2.65 (((((~) @ ($true))) |
% 14.13/2.65 (((~) @ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0)))))) |
% 14.13/2.65 (((~) @ ($true))) | (((~) @ (E @ (f @ X0) @ (f @ (suc @ X0))))) |
% 14.13/2.65 (((~) @ ($true))) | (((~) @ ($true))) |
% 14.13/2.65 (iLEQ @ (suc @ X0) @ (suc @ X0))))),
% 14.13/2.65 inference('demod', [status(thm)],
% 14.13/2.65 [zip_derived_cl10, zip_derived_cl90, zip_derived_cl90,
% 14.13/2.65 zip_derived_cl90, zip_derived_cl90])).
% 14.13/2.65 thf(zip_derived_cl741, plain,
% 14.13/2.65 (![X0 : $i]:
% 14.13/2.65 (((((~) @ (E @ (f @ X0) @ (f @ (suc @ X0))))) |
% 14.13/2.65 (((~) @ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0)))))) |
% 14.13/2.65 (iLEQ @ (suc @ X0) @ (suc @ X0))))),
% 14.13/2.65 inference('simplify boolean subterms', [status(thm)], [zip_derived_cl740])).
% 14.13/2.65 thf(zip_derived_cl742, plain,
% 14.13/2.65 (![X0 : $i]:
% 14.13/2.65 (~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 14.13/2.65 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 14.13/2.65 | (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 14.13/2.65 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl741])).
% 14.13/2.65 thf(clause_6279, axiom,
% 14.13/2.65 (( ~( E @ 0 @ ( f @ A_0 ) ) ) | ( ~( E @ 0 @ ( f @ ( suc @ A_0 ) ) ) ) |
% 14.13/2.65 ( E @ ( f @ A_0 ) @ ( f @ ( suc @ A_0 ) ) ) |
% 14.13/2.65 ( iLEQ @ ( suc @ A_0 ) @ ( suc @ A_0 ) ))).
% 14.13/2.65 thf(zip_derived_cl125, plain,
% 14.13/2.65 (![X0 : $i]:
% 14.13/2.65 (((((~) @ (E @ 0 @ (f @ X0)))) |
% 14.13/2.65 (((~) @ (E @ 0 @ (f @ (suc @ X0))))) |
% 14.13/2.65 (E @ (f @ X0) @ (f @ (suc @ X0))) |
% 14.13/2.65 (iLEQ @ (suc @ X0) @ (suc @ X0))))),
% 14.13/2.65 inference('cnf', [status(esa)], [clause_6279])).
% 14.13/2.65 thf(zip_derived_cl90, plain, (![X0 : $i]: (E @ 0 @ (f @ X0))),
% 14.13/2.65 inference('cnf', [status(esa)], [clause_6244])).
% 14.13/2.65 thf(zip_derived_cl90, plain, (![X0 : $i]: (E @ 0 @ (f @ X0))),
% 14.13/2.65 inference('cnf', [status(esa)], [clause_6244])).
% 14.13/2.65 thf(zip_derived_cl733, plain,
% 14.13/2.65 (![X0 : $i]:
% 14.13/2.65 (((((~) @ ($true))) | (((~) @ ($true))) |
% 14.13/2.65 (E @ (f @ X0) @ (f @ (suc @ X0))) |
% 14.13/2.65 (iLEQ @ (suc @ X0) @ (suc @ X0))))),
% 14.13/2.65 inference('demod', [status(thm)],
% 14.13/2.65 [zip_derived_cl125, zip_derived_cl90, zip_derived_cl90])).
% 14.13/2.65 thf(zip_derived_cl734, plain,
% 14.13/2.65 (![X0 : $i]:
% 14.13/2.65 (((E @ (f @ X0) @ (f @ (suc @ X0))) | (iLEQ @ (suc @ X0) @
% 14.13/2.65 (suc @ X0))))),
% 14.13/2.65 inference('simplify boolean subterms', [status(thm)], [zip_derived_cl733])).
% 14.13/2.65 thf(zip_derived_cl735, plain,
% 14.13/2.65 (![X0 : $i]:
% 14.13/2.65 ( (E @ (f @ X0) @ (f @ (suc @ X0)))
% 14.13/2.65 | (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 14.13/2.65 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl734])).
% 14.13/2.65 thf(zip_derived_cl743, plain,
% 14.13/2.65 (![X0 : $i]:
% 14.13/2.65 ( (iLEQ @ (suc @ X0) @ (suc @ X0))
% 14.13/2.65 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0)))))),
% 14.13/2.65 inference('clc', [status(thm)], [zip_derived_cl742, zip_derived_cl735])).
% 14.13/2.65 thf(clause_6260, axiom,
% 14.13/2.65 (( ~( E @ 0 @ ( f @ ( suc @ ( suc @ A_0 ) ) ) ) ) |
% 14.13/2.65 ( ~( E @ 0 @ ( f @ ( suc @ A_0 ) ) ) ) |
% 14.13/2.65 ( ~( E @ ( f @ A_0 ) @ ( f @ ( suc @ A_0 ) ) ) ) |
% 14.13/2.65 ( ~( E @ 0 @ ( f @ A_0 ) ) ) |
% 14.13/2.65 ( E @ ( f @ A_0 ) @ ( f @ ( suc @ ( suc @ A_0 ) ) ) ) |
% 14.13/2.65 ( iLEQ @ ( suc @ A_0 ) @ ( suc @ A_0 ) ))).
% 14.13/2.65 thf(zip_derived_cl605, plain,
% 14.13/2.65 (![X0 : $i]:
% 14.13/2.65 (((((~) @ (E @ 0 @ (f @ (suc @ (suc @ X0)))))) |
% 14.13/2.65 (((~) @ (E @ 0 @ (f @ (suc @ X0))))) |
% 14.13/2.65 (((~) @ (E @ (f @ X0) @ (f @ (suc @ X0))))) |
% 14.13/2.65 (((~) @ (E @ 0 @ (f @ X0)))) |
% 14.13/2.65 (E @ (f @ X0) @ (f @ (suc @ (suc @ X0)))) |
% 14.13/2.65 (iLEQ @ (suc @ X0) @ (suc @ X0))))),
% 14.13/2.65 inference('cnf', [status(esa)], [clause_6260])).
% 14.13/2.65 thf(zip_derived_cl90, plain, (![X0 : $i]: (E @ 0 @ (f @ X0))),
% 14.13/2.65 inference('cnf', [status(esa)], [clause_6244])).
% 14.13/2.65 thf(zip_derived_cl90, plain, (![X0 : $i]: (E @ 0 @ (f @ X0))),
% 14.13/2.65 inference('cnf', [status(esa)], [clause_6244])).
% 14.13/2.65 thf(zip_derived_cl90, plain, (![X0 : $i]: (E @ 0 @ (f @ X0))),
% 14.13/2.65 inference('cnf', [status(esa)], [clause_6244])).
% 14.13/2.65 thf(zip_derived_cl736, plain,
% 14.13/2.65 (![X0 : $i]:
% 14.13/2.65 (((((~) @ ($true))) | (((~) @ ($true))) |
% 14.13/2.65 (((~) @ (E @ (f @ X0) @ (f @ (suc @ X0))))) | (((~) @ ($true))) |
% 14.13/2.65 (E @ (f @ X0) @ (f @ (suc @ (suc @ X0)))) |
% 14.13/2.65 (iLEQ @ (suc @ X0) @ (suc @ X0))))),
% 14.13/2.65 inference('demod', [status(thm)],
% 14.13/2.65 [zip_derived_cl605, zip_derived_cl90, zip_derived_cl90,
% 14.13/2.65 zip_derived_cl90])).
% 14.13/2.65 thf(zip_derived_cl737, plain,
% 14.13/2.65 (![X0 : $i]:
% 14.13/2.65 (((((~) @ (E @ (f @ X0) @ (f @ (suc @ X0))))) |
% 14.13/2.65 (E @ (f @ X0) @ (f @ (suc @ (suc @ X0)))) |
% 14.13/2.65 (iLEQ @ (suc @ X0) @ (suc @ X0))))),
% 14.13/2.65 inference('simplify boolean subterms', [status(thm)], [zip_derived_cl736])).
% 14.13/2.65 thf(zip_derived_cl738, plain,
% 14.13/2.65 (![X0 : $i]:
% 14.13/2.65 (~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 14.13/2.65 | (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 14.13/2.65 | (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 14.13/2.65 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl737])).
% 14.13/2.65 thf(zip_derived_cl735, plain,
% 14.13/2.65 (![X0 : $i]:
% 14.13/2.65 ( (E @ (f @ X0) @ (f @ (suc @ X0)))
% 14.13/2.65 | (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 14.13/2.65 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl734])).
% 14.13/2.65 thf(zip_derived_cl739, plain,
% 14.13/2.65 (![X0 : $i]:
% 14.13/2.65 ( (iLEQ @ (suc @ X0) @ (suc @ X0))
% 14.13/2.65 | (E @ (f @ X0) @ (f @ (suc @ (suc @ X0)))))),
% 14.13/2.65 inference('clc', [status(thm)], [zip_derived_cl738, zip_derived_cl735])).
% 14.13/2.65 thf(zip_derived_cl744, plain,
% 14.13/2.65 (![X0 : $i]: (iLEQ @ (suc @ X0) @ (suc @ X0))),
% 14.13/2.65 inference('clc', [status(thm)], [zip_derived_cl743, zip_derived_cl739])).
% 14.13/2.65 thf(clause_4547, axiom,
% 14.13/2.65 (( ~( E @ 0 @ ( f @ ( suc @ ( suc @ ( suc @ B_2 ) ) ) ) ) ) |
% 14.13/2.65 ( ~( E @ ( f @ B_2 ) @ ( f @ ( suc @ ( suc @ B_2 ) ) ) ) ) |
% 14.13/2.65 ( ~( E @ ( f @ B_1 ) @ ( f @ ( suc @ B_1 ) ) ) ) |
% 14.13/2.65 ( ~( iLEQ @ ( suc @ B_1 ) @ ( suc @ B_2 ) ) ) |
% 14.13/2.65 ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ A_0 ) ) ) ) ) |
% 14.13/2.65 ( ~( iLEQ @ ( suc @ B_0 ) @ ( suc @ B_1 ) ) ) |
% 14.13/2.65 ( ~( E @ 0 @ ( f @ B_1 ) ) ) |
% 14.13/2.65 ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ ( suc @ B_3 ) ) ) ) ) ) |
% 14.13/2.65 ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ B_0 ) ) ) ) ) |
% 14.13/2.65 ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ ( suc @ B_0 ) ) ) ) ) ) |
% 14.13/2.65 ( ~( E @ ( f @ B_0 ) @ ( f @ ( suc @ B_0 ) ) ) ) |
% 14.13/2.65 ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ ( suc @ B ) ) ) ) ) ) |
% 14.13/2.65 ( ~( E @ ( f @ B ) @ ( f @ ( suc @ B ) ) ) ) |
% 14.13/2.65 ( ~( iLEQ @ ( suc @ A_0 ) @ ( suc @ B ) ) ) |
% 14.13/2.65 ( ~( E @ ( f @ A_0 ) @ ( f @ ( suc @ ( suc @ A_0 ) ) ) ) ) |
% 14.13/2.65 ( ~( E @ 0 @ ( f @ ( suc @ B_0 ) ) ) ) |
% 14.13/2.65 ( ~( E @ 0 @ ( f @ ( suc @ B_2 ) ) ) ) |
% 14.13/2.65 ( ~( iLEQ @ ( suc @ B_2 ) @ ( suc @ B_3 ) ) ) |
% 14.13/2.65 ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ ( suc @ A_0 ) ) ) ) ) ) |
% 14.13/2.65 ( ~( E @ ( f @ B_2 ) @ ( f @ ( suc @ B_2 ) ) ) ) |
% 14.13/2.65 ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ B_3 ) ) ) ) ) |
% 14.13/2.65 ( ~( E @ ( f @ A_0 ) @ ( f @ ( suc @ A_0 ) ) ) ) |
% 14.13/2.65 ( ~( E @ 0 @ ( f @ B_0 ) ) ) | ( ~( E @ 0 @ ( f @ B_2 ) ) ) |
% 14.13/2.65 ( ~( E @ 0 @ ( f @ ( suc @ A_0 ) ) ) ) | ( ~( E @ 0 @ ( f @ B ) ) ) |
% 14.13/2.65 ( ~( E @ ( f @ B_3 ) @ ( f @ ( suc @ B_3 ) ) ) ) |
% 14.13/2.65 ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ B ) ) ) ) ) |
% 14.13/2.65 ( ~( E @ ( f @ B ) @ ( f @ ( suc @ ( suc @ B ) ) ) ) ) |
% 14.13/2.65 ( ~( E @ 0 @ ( f @ B_3 ) ) ) |
% 14.13/2.65 ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ ( suc @ B_1 ) ) ) ) ) ) |
% 14.13/2.65 ( ~( E @ 0 @ ( f @ ( suc @ B ) ) ) ) |
% 14.13/2.65 ( ~( E @ 0 @ ( f @ ( suc @ B_1 ) ) ) ) |
% 14.13/2.65 ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ B_2 ) ) ) ) ) |
% 14.13/2.65 ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ B_1 ) ) ) ) ) |
% 14.13/2.65 ( ~( E @ 0 @ ( f @ A_0 ) ) ) |
% 14.13/2.65 ( ~( E @ ( f @ B_3 ) @ ( f @ ( suc @ ( suc @ B_3 ) ) ) ) ) |
% 14.13/2.65 ( ~( E @ ( f @ B_0 ) @ ( f @ ( suc @ ( suc @ B_0 ) ) ) ) ) |
% 14.13/2.65 ( ~( E @ 0 @ ( f @ ( suc @ B_3 ) ) ) ) |
% 14.13/2.65 ( ~( iLEQ @ ( suc @ B ) @ ( suc @ B_0 ) ) ) |
% 14.13/2.65 ( ~( E @ ( f @ B_1 ) @ ( f @ ( suc @ ( suc @ B_1 ) ) ) ) ))).
% 14.13/2.65 thf(zip_derived_cl500, plain,
% 14.13/2.65 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 14.13/2.65 (((((~) @ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0))))))) |
% 14.13/2.65 (((~) @ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0)))))) |
% 14.13/2.65 (((~) @ (E @ (f @ X1) @ (f @ (suc @ X1))))) |
% 14.13/2.65 (((~) @ (iLEQ @ (suc @ X1) @ (suc @ X0)))) |
% 14.13/2.65 (((~) @ (E @ 0 @ (f @ (suc @ (suc @ X2)))))) |
% 14.13/2.65 (((~) @ (iLEQ @ (suc @ X3) @ (suc @ X1)))) |
% 14.13/2.65 (((~) @ (E @ 0 @ (f @ X1)))) |
% 14.13/2.65 (((~) @ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X4))))))) |
% 14.13/2.65 (((~) @ (E @ 0 @ (f @ (suc @ (suc @ X3)))))) |
% 14.13/2.65 (((~) @ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X3))))))) |
% 14.13/2.65 (((~) @ (E @ (f @ X3) @ (f @ (suc @ X3))))) |
% 14.13/2.65 (((~) @ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X5))))))) |
% 14.13/2.65 (((~) @ (E @ (f @ X5) @ (f @ (suc @ X5))))) |
% 14.13/2.65 (((~) @ (iLEQ @ (suc @ X2) @ (suc @ X5)))) |
% 14.13/2.65 (((~) @ (E @ (f @ X2) @ (f @ (suc @ (suc @ X2)))))) |
% 14.13/2.65 (((~) @ (E @ 0 @ (f @ (suc @ X3))))) |
% 14.13/2.65 (((~) @ (E @ 0 @ (f @ (suc @ X0))))) |
% 14.13/2.65 (((~) @ (iLEQ @ (suc @ X0) @ (suc @ X4)))) |
% 14.13/2.65 (((~) @ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X2))))))) |
% 14.13/2.65 (((~) @ (E @ (f @ X0) @ (f @ (suc @ X0))))) |
% 14.13/2.65 (((~) @ (E @ 0 @ (f @ (suc @ (suc @ X4)))))) |
% 14.13/2.65 (((~) @ (E @ (f @ X2) @ (f @ (suc @ X2))))) |
% 14.13/2.65 (((~) @ (E @ 0 @ (f @ X3)))) | (((~) @ (E @ 0 @ (f @ X0)))) |
% 14.13/2.65 (((~) @ (E @ 0 @ (f @ (suc @ X2))))) |
% 14.13/2.65 (((~) @ (E @ 0 @ (f @ X5)))) |
% 14.13/2.65 (((~) @ (E @ (f @ X4) @ (f @ (suc @ X4))))) |
% 14.13/2.65 (((~) @ (E @ 0 @ (f @ (suc @ (suc @ X5)))))) |
% 14.13/2.65 (((~) @ (E @ (f @ X5) @ (f @ (suc @ (suc @ X5)))))) |
% 14.13/2.65 (((~) @ (E @ 0 @ (f @ X4)))) |
% 14.13/2.65 (((~) @ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X1))))))) |
% 14.13/2.65 (((~) @ (E @ 0 @ (f @ (suc @ X5))))) |
% 14.13/2.65 (((~) @ (E @ 0 @ (f @ (suc @ X1))))) |
% 14.13/2.65 (((~) @ (E @ 0 @ (f @ (suc @ (suc @ X0)))))) |
% 14.13/2.65 (((~) @ (E @ 0 @ (f @ (suc @ (suc @ X1)))))) |
% 14.13/2.65 (((~) @ (E @ 0 @ (f @ X2)))) |
% 14.13/2.65 (((~) @ (E @ (f @ X4) @ (f @ (suc @ (suc @ X4)))))) |
% 14.13/2.65 (((~) @ (E @ (f @ X3) @ (f @ (suc @ (suc @ X3)))))) |
% 14.13/2.65 (((~) @ (E @ 0 @ (f @ (suc @ X4))))) |
% 14.13/2.65 (((~) @ (iLEQ @ (suc @ X5) @ (suc @ X3)))) |
% 14.13/2.65 (((~) @ (E @ (f @ X1) @ (f @ (suc @ (suc @ X1))))))))),
% 14.13/2.65 inference('cnf', [status(esa)], [clause_4547])).
% 14.13/2.65 thf(zip_derived_cl90, plain, (![X0 : $i]: (E @ 0 @ (f @ X0))),
% 14.13/2.65 inference('cnf', [status(esa)], [clause_6244])).
% 14.13/2.65 thf(zip_derived_cl744, plain,
% 14.13/2.65 (![X0 : $i]: (iLEQ @ (suc @ X0) @ (suc @ X0))),
% 14.13/2.65 inference('clc', [status(thm)], [zip_derived_cl743, zip_derived_cl739])).
% 14.13/2.65 thf(clause_433, axiom,
% 14.13/2.65 (( ~( E @ ( f @ B_1 ) @ ( f @ ( suc @ B_1 ) ) ) ) |
% 14.13/2.65 ( ~( iLEQ @ ( suc @ B_1 ) @ ( suc @ B_2 ) ) ) |
% 14.13/2.65 ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ A_0 ) ) ) ) ) |
% 14.13/2.65 ( ~( iLEQ @ ( suc @ B_0 ) @ ( suc @ B_1 ) ) ) |
% 14.13/2.65 ( ~( E @ 0 @ ( f @ B_1 ) ) ) |
% 14.13/2.65 ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ B_0 ) ) ) ) ) |
% 14.13/2.65 ( ~( E @ ( f @ B_0 ) @ ( f @ ( suc @ B_0 ) ) ) ) |
% 14.13/2.65 ( ~( E @ ( f @ B ) @ ( f @ ( suc @ B ) ) ) ) |
% 14.13/2.65 ( ~( iLEQ @ ( suc @ A_0 ) @ ( suc @ B ) ) ) |
% 14.13/2.65 ( ~( E @ 0 @ ( f @ ( suc @ B_0 ) ) ) ) |
% 14.13/2.65 ( ~( E @ 0 @ ( f @ ( suc @ B_2 ) ) ) ) |
% 14.13/2.65 ( ~( iLEQ @ ( suc @ B_2 ) @ ( suc @ B_3 ) ) ) |
% 14.13/2.65 ( ~( E @ ( f @ B_2 ) @ ( f @ ( suc @ B_2 ) ) ) ) |
% 14.13/2.65 ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ B_3 ) ) ) ) ) |
% 14.13/2.65 ( ~( E @ ( f @ A_0 ) @ ( f @ ( suc @ A_0 ) ) ) ) |
% 14.13/2.65 ( ~( E @ 0 @ ( f @ B_0 ) ) ) | ( ~( E @ 0 @ ( f @ B_2 ) ) ) |
% 14.13/2.65 ( ~( E @ 0 @ ( f @ ( suc @ A_0 ) ) ) ) | ( ~( E @ 0 @ ( f @ B ) ) ) |
% 14.13/2.65 ( ~( E @ ( f @ B_3 ) @ ( f @ ( suc @ B_3 ) ) ) ) |
% 14.13/2.65 ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ B ) ) ) ) ) |
% 14.13/2.65 ( ~( E @ 0 @ ( f @ B_3 ) ) ) | ( ~( E @ 0 @ ( f @ ( suc @ B ) ) ) ) |
% 14.13/2.65 ( ~( E @ 0 @ ( f @ ( suc @ B_1 ) ) ) ) |
% 14.13/2.65 ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ B_2 ) ) ) ) ) |
% 14.13/2.65 ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ B_1 ) ) ) ) ) |
% 14.13/2.65 ( ~( E @ 0 @ ( f @ A_0 ) ) ) | ( ~( E @ 0 @ ( f @ ( suc @ B_3 ) ) ) ) |
% 14.13/2.65 ( ~( iLEQ @ ( suc @ B ) @ ( suc @ B_0 ) ) ) |
% 14.13/2.65 ( E @ ( f @ B_2 ) @ ( f @ ( suc @ ( suc @ B_2 ) ) ) ) |
% 14.13/2.65 ( E @ ( f @ A_0 ) @ ( f @ ( suc @ ( suc @ A_0 ) ) ) ) |
% 14.13/2.65 ( E @ ( f @ B ) @ ( f @ ( suc @ ( suc @ B ) ) ) ) |
% 14.13/2.65 ( E @ ( f @ B_3 ) @ ( f @ ( suc @ ( suc @ B_3 ) ) ) ) |
% 14.13/2.65 ( E @ ( f @ B_0 ) @ ( f @ ( suc @ ( suc @ B_0 ) ) ) ) |
% 14.13/2.65 ( E @ ( f @ B_1 ) @ ( f @ ( suc @ ( suc @ B_1 ) ) ) ))).
% 14.13/2.65 thf(zip_derived_cl112, plain,
% 14.13/2.65 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 14.13/2.65 (((((~) @ (E @ (f @ X0) @ (f @ (suc @ X0))))) |
% 14.13/2.65 (((~) @ (iLEQ @ (suc @ X0) @ (suc @ X1)))) |
% 14.13/2.65 (((~) @ (E @ 0 @ (f @ (suc @ (suc @ X2)))))) |
% 14.13/2.65 (((~) @ (iLEQ @ (suc @ X3) @ (suc @ X0)))) |
% 14.13/2.65 (((~) @ (E @ 0 @ (f @ X0)))) |
% 14.13/2.65 (((~) @ (E @ 0 @ (f @ (suc @ (suc @ X3)))))) |
% 14.13/2.65 (((~) @ (E @ (f @ X3) @ (f @ (suc @ X3))))) |
% 14.13/2.65 (((~) @ (E @ (f @ X4) @ (f @ (suc @ X4))))) |
% 14.13/2.65 (((~) @ (iLEQ @ (suc @ X2) @ (suc @ X4)))) |
% 14.13/2.65 (((~) @ (E @ 0 @ (f @ (suc @ X3))))) |
% 14.13/2.65 (((~) @ (E @ 0 @ (f @ (suc @ X1))))) |
% 14.13/2.65 (((~) @ (iLEQ @ (suc @ X1) @ (suc @ X5)))) |
% 14.13/2.65 (((~) @ (E @ (f @ X1) @ (f @ (suc @ X1))))) |
% 14.13/2.65 (((~) @ (E @ 0 @ (f @ (suc @ (suc @ X5)))))) |
% 14.13/2.65 (((~) @ (E @ (f @ X2) @ (f @ (suc @ X2))))) |
% 14.13/2.65 (((~) @ (E @ 0 @ (f @ X3)))) | (((~) @ (E @ 0 @ (f @ X1)))) |
% 14.13/2.65 (((~) @ (E @ 0 @ (f @ (suc @ X2))))) |
% 14.13/2.65 (((~) @ (E @ 0 @ (f @ X4)))) |
% 14.13/2.65 (((~) @ (E @ (f @ X5) @ (f @ (suc @ X5))))) |
% 14.13/2.65 (((~) @ (E @ 0 @ (f @ (suc @ (suc @ X4)))))) |
% 14.13/2.65 (((~) @ (E @ 0 @ (f @ X5)))) |
% 14.13/2.65 (((~) @ (E @ 0 @ (f @ (suc @ X4))))) |
% 14.13/2.65 (((~) @ (E @ 0 @ (f @ (suc @ X0))))) |
% 14.13/2.65 (((~) @ (E @ 0 @ (f @ (suc @ (suc @ X1)))))) |
% 14.13/2.65 (((~) @ (E @ 0 @ (f @ (suc @ (suc @ X0)))))) |
% 14.13/2.65 (((~) @ (E @ 0 @ (f @ X2)))) |
% 14.13/2.65 (((~) @ (E @ 0 @ (f @ (suc @ X5))))) |
% 14.13/2.65 (((~) @ (iLEQ @ (suc @ X4) @ (suc @ X3)))) |
% 14.13/2.65 (E @ (f @ X1) @ (f @ (suc @ (suc @ X1)))) |
% 14.13/2.65 (E @ (f @ X2) @ (f @ (suc @ (suc @ X2)))) |
% 14.13/2.65 (E @ (f @ X4) @ (f @ (suc @ (suc @ X4)))) |
% 14.13/2.65 (E @ (f @ X5) @ (f @ (suc @ (suc @ X5)))) |
% 14.13/2.65 (E @ (f @ X3) @ (f @ (suc @ (suc @ X3)))) |
% 14.13/2.65 (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))))),
% 14.13/2.65 inference('cnf', [status(esa)], [clause_433])).
% 14.13/2.65 thf(zip_derived_cl744, plain,
% 14.13/2.65 (![X0 : $i]: (iLEQ @ (suc @ X0) @ (suc @ X0))),
% 14.13/2.65 inference('clc', [status(thm)], [zip_derived_cl743, zip_derived_cl739])).
% 14.13/2.65 thf(zip_derived_cl744, plain,
% 14.13/2.65 (![X0 : $i]: (iLEQ @ (suc @ X0) @ (suc @ X0))),
% 14.13/2.65 inference('clc', [status(thm)], [zip_derived_cl743, zip_derived_cl739])).
% 14.13/2.65 thf(zip_derived_cl744, plain,
% 14.13/2.65 (![X0 : $i]: (iLEQ @ (suc @ X0) @ (suc @ X0))),
% 14.13/2.65 inference('clc', [status(thm)], [zip_derived_cl743, zip_derived_cl739])).
% 14.13/2.65 thf(clause_4556, axiom,
% 14.13/2.65 (( ~( iLEQ @ ( suc @ B_1 ) @ ( suc @ B_2 ) ) ) |
% 14.13/2.65 ( ~( iLEQ @ ( suc @ B_0 ) @ ( suc @ B_1 ) ) ) |
% 14.13/2.65 ( ~( E @ 0 @ ( f @ B_1 ) ) ) |
% 14.13/2.65 ( ~( iLEQ @ ( suc @ A_0 ) @ ( suc @ B ) ) ) |
% 14.13/2.65 ( ~( E @ 0 @ ( f @ ( suc @ B_0 ) ) ) ) |
% 14.13/2.65 ( ~( E @ 0 @ ( f @ ( suc @ B_2 ) ) ) ) |
% 14.13/2.65 ( ~( iLEQ @ ( suc @ B_2 ) @ ( suc @ B_3 ) ) ) |
% 14.13/2.65 ( ~( E @ 0 @ ( f @ B_0 ) ) ) | ( ~( E @ 0 @ ( f @ B_2 ) ) ) |
% 14.13/2.65 ( ~( E @ 0 @ ( f @ ( suc @ A_0 ) ) ) ) | ( ~( E @ 0 @ ( f @ B ) ) ) |
% 14.13/2.65 ( ~( E @ 0 @ ( f @ B_3 ) ) ) | ( ~( E @ 0 @ ( f @ ( suc @ B ) ) ) ) |
% 14.13/2.65 ( ~( E @ 0 @ ( f @ ( suc @ B_1 ) ) ) ) | ( ~( E @ 0 @ ( f @ A_0 ) ) ) |
% 14.13/2.65 ( ~( E @ 0 @ ( f @ ( suc @ B_3 ) ) ) ) |
% 14.13/2.65 ( ~( iLEQ @ ( suc @ B ) @ ( suc @ B_0 ) ) ) |
% 14.13/2.65 ( E @ ( f @ B_1 ) @ ( f @ ( suc @ B_1 ) ) ) |
% 14.13/2.65 ( E @ ( f @ B_0 ) @ ( f @ ( suc @ B_0 ) ) ) |
% 14.13/2.65 ( E @ ( f @ B ) @ ( f @ ( suc @ B ) ) ) |
% 14.13/2.65 ( E @ ( f @ B_2 ) @ ( f @ ( suc @ B_2 ) ) ) |
% 14.13/2.65 ( E @ ( f @ A_0 ) @ ( f @ ( suc @ A_0 ) ) ) |
% 14.13/2.65 ( E @ ( f @ B_3 ) @ ( f @ ( suc @ B_3 ) ) ))).
% 14.13/2.65 thf(zip_derived_cl100, plain,
% 14.13/2.65 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 14.13/2.65 (((((~) @ (iLEQ @ (suc @ X0) @ (suc @ X1)))) |
% 14.13/2.65 (((~) @ (iLEQ @ (suc @ X2) @ (suc @ X0)))) |
% 14.13/2.65 (((~) @ (E @ 0 @ (f @ X0)))) |
% 14.13/2.65 (((~) @ (iLEQ @ (suc @ X3) @ (suc @ X4)))) |
% 14.13/2.65 (((~) @ (E @ 0 @ (f @ (suc @ X2))))) |
% 14.13/2.65 (((~) @ (E @ 0 @ (f @ (suc @ X1))))) |
% 14.13/2.65 (((~) @ (iLEQ @ (suc @ X1) @ (suc @ X5)))) |
% 14.13/2.65 (((~) @ (E @ 0 @ (f @ X2)))) | (((~) @ (E @ 0 @ (f @ X1)))) |
% 14.13/2.65 (((~) @ (E @ 0 @ (f @ (suc @ X3))))) |
% 14.13/2.65 (((~) @ (E @ 0 @ (f @ X4)))) | (((~) @ (E @ 0 @ (f @ X5)))) |
% 14.13/2.65 (((~) @ (E @ 0 @ (f @ (suc @ X4))))) |
% 14.13/2.65 (((~) @ (E @ 0 @ (f @ (suc @ X0))))) |
% 14.13/2.65 (((~) @ (E @ 0 @ (f @ X3)))) |
% 14.13/2.65 (((~) @ (E @ 0 @ (f @ (suc @ X5))))) |
% 14.13/2.65 (((~) @ (iLEQ @ (suc @ X4) @ (suc @ X2)))) |
% 14.13/2.65 (E @ (f @ X0) @ (f @ (suc @ X0))) |
% 14.13/2.65 (E @ (f @ X2) @ (f @ (suc @ X2))) |
% 14.13/2.65 (E @ (f @ X4) @ (f @ (suc @ X4))) |
% 14.13/2.65 (E @ (f @ X1) @ (f @ (suc @ X1))) |
% 14.13/2.65 (E @ (f @ X3) @ (f @ (suc @ X3))) |
% 14.13/2.65 (E @ (f @ X5) @ (f @ (suc @ X5)))))),
% 14.13/2.65 inference('cnf', [status(esa)], [clause_4556])).
% 14.13/2.65 thf(zip_derived_cl90, plain, (![X0 : $i]: (E @ 0 @ (f @ X0))),
% 14.13/2.65 inference('cnf', [status(esa)], [clause_6244])).
% 14.13/2.65 thf(zip_derived_cl90, plain, (![X0 : $i]: (E @ 0 @ (f @ X0))),
% 14.13/2.65 inference('cnf', [status(esa)], [clause_6244])).
% 14.13/2.65 thf(zip_derived_cl90, plain, (![X0 : $i]: (E @ 0 @ (f @ X0))),
% 14.13/2.65 inference('cnf', [status(esa)], [clause_6244])).
% 14.13/2.65 thf(zip_derived_cl90, plain, (![X0 : $i]: (E @ 0 @ (f @ X0))),
% 14.13/2.65 inference('cnf', [status(esa)], [clause_6244])).
% 14.13/2.65 thf(zip_derived_cl90, plain, (![X0 : $i]: (E @ 0 @ (f @ X0))),
% 14.13/2.65 inference('cnf', [status(esa)], [clause_6244])).
% 14.13/2.65 thf(zip_derived_cl90, plain, (![X0 : $i]: (E @ 0 @ (f @ X0))),
% 14.13/2.65 inference('cnf', [status(esa)], [clause_6244])).
% 14.13/2.65 thf(zip_derived_cl90, plain, (![X0 : $i]: (E @ 0 @ (f @ X0))),
% 14.13/2.65 inference('cnf', [status(esa)], [clause_6244])).
% 14.13/2.65 thf(zip_derived_cl90, plain, (![X0 : $i]: (E @ 0 @ (f @ X0))),
% 14.13/2.65 inference('cnf', [status(esa)], [clause_6244])).
% 14.13/2.65 thf(zip_derived_cl90, plain, (![X0 : $i]: (E @ 0 @ (f @ X0))),
% 14.13/2.65 inference('cnf', [status(esa)], [clause_6244])).
% 14.13/2.65 thf(zip_derived_cl90, plain, (![X0 : $i]: (E @ 0 @ (f @ X0))),
% 14.13/2.65 inference('cnf', [status(esa)], [clause_6244])).
% 14.13/2.65 thf(zip_derived_cl90, plain, (![X0 : $i]: (E @ 0 @ (f @ X0))),
% 14.13/2.65 inference('cnf', [status(esa)], [clause_6244])).
% 14.13/2.65 thf(zip_derived_cl90, plain, (![X0 : $i]: (E @ 0 @ (f @ X0))),
% 14.13/2.65 inference('cnf', [status(esa)], [clause_6244])).
% 14.13/2.65 thf(zip_derived_cl745, plain,
% 14.13/2.65 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 14.13/2.65 (((((~) @ (iLEQ @ (suc @ X0) @ (suc @ X1)))) |
% 14.13/2.65 (((~) @ (iLEQ @ (suc @ X2) @ (suc @ X0)))) | (((~) @ ($true))) |
% 14.13/2.65 (((~) @ (iLEQ @ (suc @ X3) @ (suc @ X4)))) | (((~) @ ($true))) |
% 14.13/2.65 (((~) @ ($true))) | (((~) @ (iLEQ @ (suc @ X1) @ (suc @ X5)))) |
% 14.13/2.65 (((~) @ ($true))) | (((~) @ ($true))) | (((~) @ ($true))) |
% 14.13/2.65 (((~) @ ($true))) | (((~) @ ($true))) | (((~) @ ($true))) |
% 14.13/2.65 (((~) @ ($true))) | (((~) @ ($true))) | (((~) @ ($true))) |
% 14.13/2.65 (((~) @ (iLEQ @ (suc @ X4) @ (suc @ X2)))) |
% 14.13/2.65 (E @ (f @ X0) @ (f @ (suc @ X0))) |
% 14.13/2.65 (E @ (f @ X2) @ (f @ (suc @ X2))) |
% 14.13/2.65 (E @ (f @ X4) @ (f @ (suc @ X4))) |
% 14.13/2.65 (E @ (f @ X1) @ (f @ (suc @ X1))) |
% 14.13/2.65 (E @ (f @ X3) @ (f @ (suc @ X3))) |
% 14.13/2.65 (E @ (f @ X5) @ (f @ (suc @ X5)))))),
% 14.13/2.65 inference('demod', [status(thm)],
% 14.13/2.65 [zip_derived_cl100, zip_derived_cl90, zip_derived_cl90,
% 14.13/2.65 zip_derived_cl90, zip_derived_cl90, zip_derived_cl90,
% 14.13/2.65 zip_derived_cl90, zip_derived_cl90, zip_derived_cl90,
% 14.13/2.65 zip_derived_cl90, zip_derived_cl90, zip_derived_cl90,
% 14.13/2.65 zip_derived_cl90])).
% 14.13/2.65 thf(zip_derived_cl746, plain,
% 14.13/2.65 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 14.13/2.65 (((E @ (f @ X0) @ (f @ (suc @ X0))) |
% 14.13/2.65 (((~) @ (iLEQ @ (suc @ X0) @ (suc @ X1)))) |
% 14.13/2.65 (((~) @ (iLEQ @ (suc @ X2) @ (suc @ X0)))) |
% 14.13/2.65 (E @ (f @ X2) @ (f @ (suc @ X2))) |
% 14.13/2.65 (E @ (f @ X4) @ (f @ (suc @ X4))) |
% 14.13/2.65 (E @ (f @ X3) @ (f @ (suc @ X3))) |
% 14.13/2.65 (((~) @ (iLEQ @ (suc @ X4) @ (suc @ X2)))) |
% 14.13/2.65 (E @ (f @ X5) @ (f @ (suc @ X5))) |
% 14.13/2.65 (E @ (f @ X1) @ (f @ (suc @ X1))) |
% 14.13/2.65 (((~) @ (iLEQ @ (suc @ X1) @ (suc @ X5)))) |
% 14.13/2.65 (((~) @ (iLEQ @ (suc @ X3) @ (suc @ X4))))))),
% 14.13/2.65 inference('simplify boolean subterms', [status(thm)], [zip_derived_cl745])).
% 14.13/2.65 thf(zip_derived_cl747, plain,
% 14.13/2.65 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 14.13/2.65 ( (E @ (f @ X0) @ (f @ (suc @ X0)))
% 14.13/2.65 | ~ (iLEQ @ (suc @ X0) @ (suc @ X1))
% 14.13/2.65 | ~ (iLEQ @ (suc @ X2) @ (suc @ X0))
% 14.13/2.65 | (E @ (f @ X2) @ (f @ (suc @ X2)))
% 14.13/2.65 | (E @ (f @ X4) @ (f @ (suc @ X4)))
% 14.13/2.65 | (E @ (f @ X3) @ (f @ (suc @ X3)))
% 14.13/2.65 | ~ (iLEQ @ (suc @ X4) @ (suc @ X2))
% 14.13/2.65 | (E @ (f @ X5) @ (f @ (suc @ X5)))
% 14.13/2.65 | (E @ (f @ X1) @ (f @ (suc @ X1)))
% 14.13/2.65 | ~ (iLEQ @ (suc @ X1) @ (suc @ X5))
% 14.13/2.65 | ~ (iLEQ @ (suc @ X3) @ (suc @ X4)))),
% 14.13/2.65 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl746])).
% 14.13/2.65 thf(zip_derived_cl749, plain,
% 14.13/2.65 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 14.13/2.65 (~ (iLEQ @ (suc @ X2) @ (suc @ X1))
% 14.13/2.65 | ~ (iLEQ @ (suc @ X0) @ (suc @ X3))
% 14.13/2.65 | (E @ (f @ X0) @ (f @ (suc @ X0)))
% 14.13/2.65 | (E @ (f @ X3) @ (f @ (suc @ X3)))
% 14.13/2.65 | ~ (iLEQ @ (suc @ X1) @ (suc @ X0))
% 14.13/2.65 | (E @ (f @ X2) @ (f @ (suc @ X2)))
% 14.13/2.65 | (E @ (f @ X1) @ (f @ (suc @ X1)))
% 14.13/2.65 | (E @ (f @ X0) @ (f @ (suc @ X0)))
% 14.13/2.65 | ~ (iLEQ @ (suc @ X0) @ (suc @ X1))
% 14.13/2.65 | (E @ (f @ X1) @ (f @ (suc @ X1))))),
% 14.13/2.65 inference('eq_fact', [status(thm)], [zip_derived_cl747])).
% 14.13/2.65 thf(zip_derived_cl751, plain,
% 14.13/2.65 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 14.13/2.65 (~ (iLEQ @ (suc @ X0) @ (suc @ X1))
% 14.13/2.65 | (E @ (f @ X1) @ (f @ (suc @ X1)))
% 14.13/2.65 | (E @ (f @ X2) @ (f @ (suc @ X2)))
% 14.13/2.65 | ~ (iLEQ @ (suc @ X1) @ (suc @ X0))
% 14.13/2.65 | (E @ (f @ X3) @ (f @ (suc @ X3)))
% 14.13/2.65 | (E @ (f @ X0) @ (f @ (suc @ X0)))
% 14.13/2.65 | ~ (iLEQ @ (suc @ X0) @ (suc @ X3))
% 14.13/2.65 | ~ (iLEQ @ (suc @ X2) @ (suc @ X1)))),
% 14.13/2.65 inference('simplify', [status(thm)], [zip_derived_cl749])).
% 14.13/2.65 thf(zip_derived_cl763, plain,
% 14.13/2.65 (![X0 : $i, X1 : $i, X2 : $i]:
% 14.13/2.65 ( (E @ (f @ X0) @ (f @ (suc @ X0)))
% 14.13/2.65 | (E @ (f @ X1) @ (f @ (suc @ X1)))
% 14.13/2.65 | (E @ (f @ X2) @ (f @ (suc @ X2)))
% 14.13/2.65 | (E @ (f @ X0) @ (f @ (suc @ X0)))
% 14.13/2.65 | ~ (iLEQ @ (suc @ X0) @ (suc @ X2))
% 14.13/2.65 | ~ (iLEQ @ (suc @ X1) @ (suc @ X0)))),
% 14.13/2.65 inference('s_sup-', [status(thm)], [zip_derived_cl744, zip_derived_cl751])).
% 14.13/2.65 thf(zip_derived_cl768, plain,
% 14.13/2.65 (![X0 : $i, X1 : $i, X2 : $i]:
% 14.13/2.65 (~ (iLEQ @ (suc @ X1) @ (suc @ X0))
% 14.13/2.65 | ~ (iLEQ @ (suc @ X0) @ (suc @ X2))
% 14.13/2.65 | (E @ (f @ X2) @ (f @ (suc @ X2)))
% 14.13/2.65 | (E @ (f @ X1) @ (f @ (suc @ X1)))
% 14.13/2.65 | (E @ (f @ X0) @ (f @ (suc @ X0))))),
% 14.13/2.65 inference('simplify', [status(thm)], [zip_derived_cl763])).
% 14.13/2.65 thf(zip_derived_cl784, plain,
% 14.13/2.65 (![X0 : $i, X1 : $i]:
% 14.13/2.65 (~ (iLEQ @ (suc @ X0) @ (suc @ X1))
% 14.13/2.65 | (E @ (f @ X1) @ (f @ (suc @ X1)))
% 14.13/2.65 | (E @ (f @ X0) @ (f @ (suc @ X0)))
% 14.13/2.65 | (E @ (f @ X0) @ (f @ (suc @ X0))))),
% 14.13/2.65 inference('s_sup-', [status(thm)], [zip_derived_cl744, zip_derived_cl768])).
% 14.13/2.65 thf(zip_derived_cl785, plain,
% 14.13/2.65 (![X0 : $i, X1 : $i]:
% 14.13/2.65 ( (E @ (f @ X0) @ (f @ (suc @ X0)))
% 14.13/2.65 | (E @ (f @ X1) @ (f @ (suc @ X1)))
% 14.13/2.65 | ~ (iLEQ @ (suc @ X0) @ (suc @ X1)))),
% 14.13/2.65 inference('simplify', [status(thm)], [zip_derived_cl784])).
% 14.13/2.65 thf(zip_derived_cl786, plain,
% 14.13/2.65 (![X0 : $i]:
% 14.13/2.65 ( (E @ (f @ X0) @ (f @ (suc @ X0)))
% 14.13/2.65 | (E @ (f @ X0) @ (f @ (suc @ X0))))),
% 14.13/2.65 inference('s_sup-', [status(thm)], [zip_derived_cl744, zip_derived_cl785])).
% 14.13/2.65 thf(zip_derived_cl787, plain,
% 14.13/2.65 (![X0 : $i]: (E @ (f @ X0) @ (f @ (suc @ X0)))),
% 14.13/2.65 inference('simplify', [status(thm)], [zip_derived_cl786])).
% 14.13/2.65 thf(zip_derived_cl90, plain, (![X0 : $i]: (E @ 0 @ (f @ X0))),
% 14.13/2.65 inference('cnf', [status(esa)], [clause_6244])).
% 14.13/2.65 thf(zip_derived_cl90, plain, (![X0 : $i]: (E @ 0 @ (f @ X0))),
% 14.13/2.65 inference('cnf', [status(esa)], [clause_6244])).
% 14.13/2.65 thf(zip_derived_cl90, plain, (![X0 : $i]: (E @ 0 @ (f @ X0))),
% 14.13/2.65 inference('cnf', [status(esa)], [clause_6244])).
% 14.13/2.65 thf(zip_derived_cl787, plain,
% 14.13/2.65 (![X0 : $i]: (E @ (f @ X0) @ (f @ (suc @ X0)))),
% 14.13/2.65 inference('simplify', [status(thm)], [zip_derived_cl786])).
% 14.13/2.65 thf(zip_derived_cl787, plain,
% 14.13/2.65 (![X0 : $i]: (E @ (f @ X0) @ (f @ (suc @ X0)))),
% 14.13/2.65 inference('simplify', [status(thm)], [zip_derived_cl786])).
% 14.13/2.65 thf(zip_derived_cl90, plain, (![X0 : $i]: (E @ 0 @ (f @ X0))),
% 14.13/2.65 inference('cnf', [status(esa)], [clause_6244])).
% 14.13/2.65 thf(zip_derived_cl90, plain, (![X0 : $i]: (E @ 0 @ (f @ X0))),
% 14.13/2.65 inference('cnf', [status(esa)], [clause_6244])).
% 14.13/2.65 thf(zip_derived_cl787, plain,
% 14.13/2.65 (![X0 : $i]: (E @ (f @ X0) @ (f @ (suc @ X0)))),
% 14.13/2.65 inference('simplify', [status(thm)], [zip_derived_cl786])).
% 14.13/2.65 thf(zip_derived_cl90, plain, (![X0 : $i]: (E @ 0 @ (f @ X0))),
% 14.13/2.65 inference('cnf', [status(esa)], [clause_6244])).
% 14.13/2.65 thf(zip_derived_cl787, plain,
% 14.13/2.65 (![X0 : $i]: (E @ (f @ X0) @ (f @ (suc @ X0)))),
% 14.13/2.65 inference('simplify', [status(thm)], [zip_derived_cl786])).
% 14.13/2.65 thf(zip_derived_cl90, plain, (![X0 : $i]: (E @ 0 @ (f @ X0))),
% 14.13/2.65 inference('cnf', [status(esa)], [clause_6244])).
% 14.13/2.65 thf(zip_derived_cl90, plain, (![X0 : $i]: (E @ 0 @ (f @ X0))),
% 14.13/2.65 inference('cnf', [status(esa)], [clause_6244])).
% 14.13/2.65 thf(zip_derived_cl90, plain, (![X0 : $i]: (E @ 0 @ (f @ X0))),
% 14.13/2.65 inference('cnf', [status(esa)], [clause_6244])).
% 14.13/2.65 thf(zip_derived_cl90, plain, (![X0 : $i]: (E @ 0 @ (f @ X0))),
% 14.13/2.65 inference('cnf', [status(esa)], [clause_6244])).
% 14.13/2.65 thf(zip_derived_cl787, plain,
% 14.13/2.65 (![X0 : $i]: (E @ (f @ X0) @ (f @ (suc @ X0)))),
% 14.13/2.65 inference('simplify', [status(thm)], [zip_derived_cl786])).
% 14.13/2.65 thf(zip_derived_cl90, plain, (![X0 : $i]: (E @ 0 @ (f @ X0))),
% 14.13/2.65 inference('cnf', [status(esa)], [clause_6244])).
% 14.13/2.65 thf(zip_derived_cl90, plain, (![X0 : $i]: (E @ 0 @ (f @ X0))),
% 14.13/2.65 inference('cnf', [status(esa)], [clause_6244])).
% 14.13/2.65 thf(zip_derived_cl90, plain, (![X0 : $i]: (E @ 0 @ (f @ X0))),
% 14.13/2.65 inference('cnf', [status(esa)], [clause_6244])).
% 14.13/2.65 thf(zip_derived_cl90, plain, (![X0 : $i]: (E @ 0 @ (f @ X0))),
% 14.13/2.65 inference('cnf', [status(esa)], [clause_6244])).
% 14.13/2.65 thf(zip_derived_cl90, plain, (![X0 : $i]: (E @ 0 @ (f @ X0))),
% 14.13/2.65 inference('cnf', [status(esa)], [clause_6244])).
% 14.13/2.65 thf(zip_derived_cl90, plain, (![X0 : $i]: (E @ 0 @ (f @ X0))),
% 14.13/2.65 inference('cnf', [status(esa)], [clause_6244])).
% 14.13/2.65 thf(zip_derived_cl90, plain, (![X0 : $i]: (E @ 0 @ (f @ X0))),
% 14.13/2.65 inference('cnf', [status(esa)], [clause_6244])).
% 14.13/2.65 thf(zip_derived_cl90, plain, (![X0 : $i]: (E @ 0 @ (f @ X0))),
% 14.13/2.65 inference('cnf', [status(esa)], [clause_6244])).
% 14.13/2.65 thf(zip_derived_cl1969, plain,
% 14.13/2.65 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 14.13/2.65 (((((~) @ ($true))) | (((~) @ (iLEQ @ (suc @ X0) @ (suc @ X1)))) |
% 14.13/2.65 (((~) @ ($true))) | (((~) @ (iLEQ @ (suc @ X3) @ (suc @ X0)))) |
% 14.13/2.65 (((~) @ ($true))) | (((~) @ ($true))) | (((~) @ ($true))) |
% 14.13/2.65 (((~) @ ($true))) | (((~) @ (iLEQ @ (suc @ X2) @ (suc @ X4)))) |
% 14.13/2.65 (((~) @ ($true))) | (((~) @ ($true))) |
% 14.13/2.65 (((~) @ (iLEQ @ (suc @ X1) @ (suc @ X5)))) | (((~) @ ($true))) |
% 14.13/2.65 (((~) @ ($true))) | (((~) @ ($true))) | (((~) @ ($true))) |
% 14.13/2.65 (((~) @ ($true))) | (((~) @ ($true))) | (((~) @ ($true))) |
% 14.13/2.65 (((~) @ ($true))) | (((~) @ ($true))) | (((~) @ ($true))) |
% 14.13/2.65 (((~) @ ($true))) | (((~) @ ($true))) | (((~) @ ($true))) |
% 14.13/2.65 (((~) @ ($true))) | (((~) @ ($true))) | (((~) @ ($true))) |
% 14.13/2.65 (((~) @ (iLEQ @ (suc @ X4) @ (suc @ X3)))) |
% 14.13/2.65 (E @ (f @ X1) @ (f @ (suc @ (suc @ X1)))) |
% 14.13/2.65 (E @ (f @ X2) @ (f @ (suc @ (suc @ X2)))) |
% 14.13/2.65 (E @ (f @ X4) @ (f @ (suc @ (suc @ X4)))) |
% 14.13/2.65 (E @ (f @ X5) @ (f @ (suc @ (suc @ X5)))) |
% 14.13/2.65 (E @ (f @ X3) @ (f @ (suc @ (suc @ X3)))) |
% 14.13/2.65 (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))))),
% 14.13/2.65 inference('demod', [status(thm)],
% 14.13/2.65 [zip_derived_cl112, zip_derived_cl787, zip_derived_cl90,
% 14.13/2.65 zip_derived_cl90, zip_derived_cl90, zip_derived_cl787,
% 14.13/2.65 zip_derived_cl787, zip_derived_cl90, zip_derived_cl90,
% 14.13/2.65 zip_derived_cl787, zip_derived_cl90, zip_derived_cl787,
% 14.13/2.65 zip_derived_cl90, zip_derived_cl90, zip_derived_cl90,
% 14.13/2.65 zip_derived_cl90, zip_derived_cl787, zip_derived_cl90,
% 14.13/2.65 zip_derived_cl90, zip_derived_cl90, zip_derived_cl90,
% 14.13/2.65 zip_derived_cl90, zip_derived_cl90, zip_derived_cl90,
% 14.13/2.65 zip_derived_cl90])).
% 14.13/2.65 thf(zip_derived_cl1970, plain,
% 14.13/2.65 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 14.13/2.65 (((((~) @ (iLEQ @ (suc @ X0) @ (suc @ X1)))) |
% 14.13/2.65 (E @ (f @ X3) @ (f @ (suc @ (suc @ X3)))) |
% 14.13/2.65 (E @ (f @ X0) @ (f @ (suc @ (suc @ X0)))) |
% 14.13/2.65 (E @ (f @ X4) @ (f @ (suc @ (suc @ X4)))) |
% 14.13/2.65 (E @ (f @ X2) @ (f @ (suc @ (suc @ X2)))) |
% 14.13/2.65 (((~) @ (iLEQ @ (suc @ X2) @ (suc @ X4)))) |
% 14.13/2.65 (((~) @ (iLEQ @ (suc @ X4) @ (suc @ X3)))) |
% 14.13/2.65 (E @ (f @ X1) @ (f @ (suc @ (suc @ X1)))) |
% 14.13/2.65 (E @ (f @ X5) @ (f @ (suc @ (suc @ X5)))) |
% 14.13/2.65 (((~) @ (iLEQ @ (suc @ X3) @ (suc @ X0)))) |
% 14.13/2.65 (((~) @ (iLEQ @ (suc @ X1) @ (suc @ X5))))))),
% 14.13/2.65 inference('simplify boolean subterms', [status(thm)],
% 14.13/2.65 [zip_derived_cl1969])).
% 14.13/2.65 thf(zip_derived_cl1971, plain,
% 14.13/2.65 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 14.13/2.65 (~ (iLEQ @ (suc @ X0) @ (suc @ X1))
% 14.13/2.65 | (E @ (f @ X3) @ (f @ (suc @ (suc @ X3))))
% 14.13/2.65 | (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 14.13/2.65 | (E @ (f @ X4) @ (f @ (suc @ (suc @ X4))))
% 14.13/2.65 | (E @ (f @ X2) @ (f @ (suc @ (suc @ X2))))
% 14.13/2.65 | ~ (iLEQ @ (suc @ X2) @ (suc @ X4))
% 14.13/2.65 | ~ (iLEQ @ (suc @ X4) @ (suc @ X3))
% 14.13/2.65 | (E @ (f @ X1) @ (f @ (suc @ (suc @ X1))))
% 14.13/2.65 | (E @ (f @ X5) @ (f @ (suc @ (suc @ X5))))
% 14.13/2.65 | ~ (iLEQ @ (suc @ X3) @ (suc @ X0))
% 14.13/2.65 | ~ (iLEQ @ (suc @ X1) @ (suc @ X5)))),
% 14.13/2.65 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl1970])).
% 14.13/2.65 thf(zip_derived_cl1973, plain,
% 14.13/2.65 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 14.13/2.65 (~ (iLEQ @ (suc @ X0) @ (suc @ X2))
% 14.13/2.65 | ~ (iLEQ @ (suc @ X3) @ (suc @ X1))
% 14.13/2.65 | (E @ (f @ X2) @ (f @ (suc @ (suc @ X2))))
% 14.13/2.65 | (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 14.13/2.65 | ~ (iLEQ @ (suc @ X0) @ (suc @ X3))
% 14.13/2.65 | ~ (iLEQ @ (suc @ X1) @ (suc @ X0))
% 14.13/2.65 | (E @ (f @ X1) @ (f @ (suc @ (suc @ X1))))
% 14.13/2.65 | (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 14.13/2.65 | (E @ (f @ X1) @ (f @ (suc @ (suc @ X1))))
% 14.13/2.65 | (E @ (f @ X3) @ (f @ (suc @ (suc @ X3)))))),
% 14.13/2.65 inference('eq_fact', [status(thm)], [zip_derived_cl1971])).
% 14.13/2.65 thf(zip_derived_cl1975, plain,
% 14.13/2.65 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 14.13/2.65 ( (E @ (f @ X3) @ (f @ (suc @ (suc @ X3))))
% 14.13/2.65 | (E @ (f @ X1) @ (f @ (suc @ (suc @ X1))))
% 14.13/2.65 | ~ (iLEQ @ (suc @ X1) @ (suc @ X0))
% 14.13/2.65 | ~ (iLEQ @ (suc @ X0) @ (suc @ X3))
% 14.13/2.65 | (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 14.13/2.65 | (E @ (f @ X2) @ (f @ (suc @ (suc @ X2))))
% 14.13/2.65 | ~ (iLEQ @ (suc @ X3) @ (suc @ X1))
% 14.13/2.65 | ~ (iLEQ @ (suc @ X0) @ (suc @ X2)))),
% 14.13/2.65 inference('simplify', [status(thm)], [zip_derived_cl1973])).
% 14.13/2.65 thf(clause_5934, axiom,
% 14.13/2.65 (( ~( E @ 0 @ ( f @ ( suc @ ( suc @ ( suc @ B_2 ) ) ) ) ) ) |
% 14.13/2.65 ( ~( E @ ( f @ B_2 ) @ ( f @ ( suc @ ( suc @ B_2 ) ) ) ) ) |
% 14.13/2.65 ( ~( E @ ( f @ B_1 ) @ ( f @ ( suc @ B_1 ) ) ) ) |
% 14.13/2.65 ( ~( iLEQ @ ( suc @ B_1 ) @ ( suc @ B_2 ) ) ) |
% 14.13/2.65 ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ A_0 ) ) ) ) ) |
% 14.13/2.65 ( ~( iLEQ @ ( suc @ B_0 ) @ ( suc @ B_1 ) ) ) |
% 14.13/2.65 ( ~( E @ 0 @ ( f @ B_1 ) ) ) |
% 14.13/2.65 ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ ( suc @ B_3 ) ) ) ) ) ) |
% 14.13/2.65 ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ B_0 ) ) ) ) ) |
% 14.13/2.65 ( ~( E @ ( f @ B_0 ) @ ( f @ ( suc @ B_0 ) ) ) ) |
% 14.13/2.65 ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ ( suc @ B ) ) ) ) ) ) |
% 14.13/2.65 ( ~( E @ ( f @ B ) @ ( f @ ( suc @ B ) ) ) ) |
% 14.13/2.65 ( ~( iLEQ @ ( suc @ A_0 ) @ ( suc @ B ) ) ) |
% 14.13/2.65 ( ~( E @ ( f @ A_0 ) @ ( f @ ( suc @ ( suc @ A_0 ) ) ) ) ) |
% 14.13/2.65 ( ~( E @ 0 @ ( f @ ( suc @ B_0 ) ) ) ) |
% 14.13/2.65 ( ~( E @ 0 @ ( f @ ( suc @ B_2 ) ) ) ) |
% 14.13/2.65 ( ~( iLEQ @ ( suc @ B_2 ) @ ( suc @ B_3 ) ) ) |
% 14.13/2.65 ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ ( suc @ A_0 ) ) ) ) ) ) |
% 14.13/2.65 ( ~( E @ ( f @ B_2 ) @ ( f @ ( suc @ B_2 ) ) ) ) |
% 14.13/2.65 ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ B_3 ) ) ) ) ) |
% 14.13/2.65 ( ~( E @ ( f @ A_0 ) @ ( f @ ( suc @ A_0 ) ) ) ) |
% 14.13/2.65 ( ~( E @ 0 @ ( f @ B_0 ) ) ) | ( ~( E @ 0 @ ( f @ B_2 ) ) ) |
% 14.13/2.65 ( ~( E @ 0 @ ( f @ ( suc @ A_0 ) ) ) ) | ( ~( E @ 0 @ ( f @ B ) ) ) |
% 14.13/2.65 ( ~( E @ ( f @ B_3 ) @ ( f @ ( suc @ B_3 ) ) ) ) |
% 14.13/2.65 ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ B ) ) ) ) ) |
% 14.13/2.65 ( ~( E @ ( f @ B ) @ ( f @ ( suc @ ( suc @ B ) ) ) ) ) |
% 14.13/2.65 ( ~( E @ 0 @ ( f @ B_3 ) ) ) | ( ~( E @ 0 @ ( f @ ( suc @ B ) ) ) ) |
% 14.13/2.65 ( ~( E @ 0 @ ( f @ ( suc @ B_1 ) ) ) ) |
% 14.13/2.65 ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ B_2 ) ) ) ) ) |
% 14.13/2.65 ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ B_1 ) ) ) ) ) |
% 14.13/2.65 ( ~( E @ 0 @ ( f @ A_0 ) ) ) |
% 14.13/2.65 ( ~( E @ ( f @ B_3 ) @ ( f @ ( suc @ ( suc @ B_3 ) ) ) ) ) |
% 14.13/2.65 ( ~( E @ 0 @ ( f @ ( suc @ B_3 ) ) ) ) |
% 14.13/2.65 ( ~( iLEQ @ ( suc @ B ) @ ( suc @ B_0 ) ) ) |
% 14.13/2.65 ( E @ ( f @ B_0 ) @ ( f @ ( suc @ ( suc @ B_0 ) ) ) ) |
% 14.13/2.65 ( E @ ( f @ B_1 ) @ ( f @ ( suc @ ( suc @ B_1 ) ) ) ))).
% 14.13/2.65 thf(zip_derived_cl42, plain,
% 14.13/2.65 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 14.13/2.65 (((((~) @ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0))))))) |
% 14.13/2.65 (((~) @ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0)))))) |
% 14.13/2.65 (((~) @ (E @ (f @ X1) @ (f @ (suc @ X1))))) |
% 14.13/2.65 (((~) @ (iLEQ @ (suc @ X1) @ (suc @ X0)))) |
% 14.13/2.65 (((~) @ (E @ 0 @ (f @ (suc @ (suc @ X2)))))) |
% 14.13/2.65 (((~) @ (iLEQ @ (suc @ X3) @ (suc @ X1)))) |
% 14.13/2.65 (((~) @ (E @ 0 @ (f @ X1)))) |
% 14.13/2.65 (((~) @ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X4))))))) |
% 14.13/2.65 (((~) @ (E @ 0 @ (f @ (suc @ (suc @ X3)))))) |
% 14.13/2.65 (((~) @ (E @ (f @ X3) @ (f @ (suc @ X3))))) |
% 14.13/2.65 (((~) @ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X5))))))) |
% 14.13/2.65 (((~) @ (E @ (f @ X5) @ (f @ (suc @ X5))))) |
% 14.13/2.65 (((~) @ (iLEQ @ (suc @ X2) @ (suc @ X5)))) |
% 14.13/2.65 (((~) @ (E @ (f @ X2) @ (f @ (suc @ (suc @ X2)))))) |
% 14.13/2.65 (((~) @ (E @ 0 @ (f @ (suc @ X3))))) |
% 14.13/2.65 (((~) @ (E @ 0 @ (f @ (suc @ X0))))) |
% 14.13/2.65 (((~) @ (iLEQ @ (suc @ X0) @ (suc @ X4)))) |
% 14.13/2.65 (((~) @ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X2))))))) |
% 14.13/2.65 (((~) @ (E @ (f @ X0) @ (f @ (suc @ X0))))) |
% 14.13/2.65 (((~) @ (E @ 0 @ (f @ (suc @ (suc @ X4)))))) |
% 14.13/2.65 (((~) @ (E @ (f @ X2) @ (f @ (suc @ X2))))) |
% 14.13/2.65 (((~) @ (E @ 0 @ (f @ X3)))) | (((~) @ (E @ 0 @ (f @ X0)))) |
% 14.13/2.65 (((~) @ (E @ 0 @ (f @ (suc @ X2))))) |
% 14.13/2.65 (((~) @ (E @ 0 @ (f @ X5)))) |
% 14.13/2.65 (((~) @ (E @ (f @ X4) @ (f @ (suc @ X4))))) |
% 14.13/2.65 (((~) @ (E @ 0 @ (f @ (suc @ (suc @ X5)))))) |
% 14.13/2.65 (((~) @ (E @ (f @ X5) @ (f @ (suc @ (suc @ X5)))))) |
% 14.13/2.65 (((~) @ (E @ 0 @ (f @ X4)))) |
% 14.13/2.65 (((~) @ (E @ 0 @ (f @ (suc @ X5))))) |
% 14.13/2.65 (((~) @ (E @ 0 @ (f @ (suc @ X1))))) |
% 14.13/2.65 (((~) @ (E @ 0 @ (f @ (suc @ (suc @ X0)))))) |
% 14.13/2.65 (((~) @ (E @ 0 @ (f @ (suc @ (suc @ X1)))))) |
% 14.13/2.65 (((~) @ (E @ 0 @ (f @ X2)))) |
% 14.13/2.65 (((~) @ (E @ (f @ X4) @ (f @ (suc @ (suc @ X4)))))) |
% 14.13/2.65 (((~) @ (E @ 0 @ (f @ (suc @ X4))))) |
% 14.13/2.65 (((~) @ (iLEQ @ (suc @ X5) @ (suc @ X3)))) |
% 14.13/2.65 (E @ (f @ X3) @ (f @ (suc @ (suc @ X3)))) |
% 14.13/2.65 (E @ (f @ X1) @ (f @ (suc @ (suc @ X1))))))),
% 14.13/2.65 inference('cnf', [status(esa)], [clause_5934])).
% 14.13/2.65 thf(zip_derived_cl90, plain, (![X0 : $i]: (E @ 0 @ (f @ X0))),
% 14.13/2.65 inference('cnf', [status(esa)], [clause_6244])).
% 14.13/2.65 thf(zip_derived_cl787, plain,
% 14.13/2.65 (![X0 : $i]: (E @ (f @ X0) @ (f @ (suc @ X0)))),
% 14.13/2.65 inference('simplify', [status(thm)], [zip_derived_cl786])).
% 14.13/2.65 thf(zip_derived_cl90, plain, (![X0 : $i]: (E @ 0 @ (f @ X0))),
% 14.13/2.65 inference('cnf', [status(esa)], [clause_6244])).
% 14.13/2.65 thf(zip_derived_cl90, plain, (![X0 : $i]: (E @ 0 @ (f @ X0))),
% 14.13/2.65 inference('cnf', [status(esa)], [clause_6244])).
% 14.13/2.65 thf(zip_derived_cl90, plain, (![X0 : $i]: (E @ 0 @ (f @ X0))),
% 14.13/2.65 inference('cnf', [status(esa)], [clause_6244])).
% 14.13/2.65 thf(zip_derived_cl90, plain, (![X0 : $i]: (E @ 0 @ (f @ X0))),
% 14.13/2.65 inference('cnf', [status(esa)], [clause_6244])).
% 14.13/2.65 thf(zip_derived_cl787, plain,
% 14.13/2.65 (![X0 : $i]: (E @ (f @ X0) @ (f @ (suc @ X0)))),
% 14.13/2.65 inference('simplify', [status(thm)], [zip_derived_cl786])).
% 14.13/2.65 thf(zip_derived_cl90, plain, (![X0 : $i]: (E @ 0 @ (f @ X0))),
% 14.13/2.65 inference('cnf', [status(esa)], [clause_6244])).
% 14.13/2.65 thf(zip_derived_cl787, plain,
% 14.13/2.65 (![X0 : $i]: (E @ (f @ X0) @ (f @ (suc @ X0)))),
% 14.13/2.65 inference('simplify', [status(thm)], [zip_derived_cl786])).
% 14.13/2.65 thf(zip_derived_cl90, plain, (![X0 : $i]: (E @ 0 @ (f @ X0))),
% 14.13/2.65 inference('cnf', [status(esa)], [clause_6244])).
% 14.13/2.65 thf(zip_derived_cl90, plain, (![X0 : $i]: (E @ 0 @ (f @ X0))),
% 14.13/2.65 inference('cnf', [status(esa)], [clause_6244])).
% 14.13/2.65 thf(zip_derived_cl90, plain, (![X0 : $i]: (E @ 0 @ (f @ X0))),
% 14.13/2.65 inference('cnf', [status(esa)], [clause_6244])).
% 14.13/2.65 thf(zip_derived_cl787, plain,
% 14.13/2.65 (![X0 : $i]: (E @ (f @ X0) @ (f @ (suc @ X0)))),
% 14.13/2.65 inference('simplify', [status(thm)], [zip_derived_cl786])).
% 14.13/2.65 thf(zip_derived_cl90, plain, (![X0 : $i]: (E @ 0 @ (f @ X0))),
% 14.13/2.65 inference('cnf', [status(esa)], [clause_6244])).
% 14.13/2.65 thf(zip_derived_cl787, plain,
% 14.13/2.65 (![X0 : $i]: (E @ (f @ X0) @ (f @ (suc @ X0)))),
% 14.13/2.65 inference('simplify', [status(thm)], [zip_derived_cl786])).
% 14.13/2.65 thf(zip_derived_cl90, plain, (![X0 : $i]: (E @ 0 @ (f @ X0))),
% 14.13/2.65 inference('cnf', [status(esa)], [clause_6244])).
% 14.13/2.65 thf(zip_derived_cl90, plain, (![X0 : $i]: (E @ 0 @ (f @ X0))),
% 14.13/2.65 inference('cnf', [status(esa)], [clause_6244])).
% 14.13/2.65 thf(zip_derived_cl90, plain, (![X0 : $i]: (E @ 0 @ (f @ X0))),
% 14.13/2.65 inference('cnf', [status(esa)], [clause_6244])).
% 14.13/2.65 thf(zip_derived_cl90, plain, (![X0 : $i]: (E @ 0 @ (f @ X0))),
% 14.13/2.65 inference('cnf', [status(esa)], [clause_6244])).
% 14.13/2.65 thf(zip_derived_cl787, plain,
% 14.13/2.65 (![X0 : $i]: (E @ (f @ X0) @ (f @ (suc @ X0)))),
% 14.13/2.65 inference('simplify', [status(thm)], [zip_derived_cl786])).
% 14.13/2.65 thf(zip_derived_cl90, plain, (![X0 : $i]: (E @ 0 @ (f @ X0))),
% 14.13/2.65 inference('cnf', [status(esa)], [clause_6244])).
% 14.13/2.65 thf(zip_derived_cl90, plain, (![X0 : $i]: (E @ 0 @ (f @ X0))),
% 14.13/2.65 inference('cnf', [status(esa)], [clause_6244])).
% 14.13/2.65 thf(zip_derived_cl90, plain, (![X0 : $i]: (E @ 0 @ (f @ X0))),
% 14.13/2.65 inference('cnf', [status(esa)], [clause_6244])).
% 14.13/2.65 thf(zip_derived_cl90, plain, (![X0 : $i]: (E @ 0 @ (f @ X0))),
% 14.13/2.65 inference('cnf', [status(esa)], [clause_6244])).
% 14.13/2.65 thf(zip_derived_cl90, plain, (![X0 : $i]: (E @ 0 @ (f @ X0))),
% 14.13/2.65 inference('cnf', [status(esa)], [clause_6244])).
% 14.13/2.65 thf(zip_derived_cl90, plain, (![X0 : $i]: (E @ 0 @ (f @ X0))),
% 14.13/2.65 inference('cnf', [status(esa)], [clause_6244])).
% 14.13/2.65 thf(zip_derived_cl90, plain, (![X0 : $i]: (E @ 0 @ (f @ X0))),
% 14.13/2.65 inference('cnf', [status(esa)], [clause_6244])).
% 14.13/2.65 thf(zip_derived_cl90, plain, (![X0 : $i]: (E @ 0 @ (f @ X0))),
% 14.13/2.65 inference('cnf', [status(esa)], [clause_6244])).
% 14.13/2.65 thf(zip_derived_cl1548, plain,
% 14.13/2.65 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 14.13/2.65 (((((~) @ ($true))) |
% 14.13/2.65 (((~) @ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0)))))) |
% 14.13/2.65 (((~) @ ($true))) | (((~) @ (iLEQ @ (suc @ X1) @ (suc @ X0)))) |
% 14.13/2.65 (((~) @ ($true))) | (((~) @ (iLEQ @ (suc @ X3) @ (suc @ X1)))) |
% 14.13/2.65 (((~) @ ($true))) | (((~) @ ($true))) | (((~) @ ($true))) |
% 14.13/2.65 (((~) @ ($true))) | (((~) @ ($true))) | (((~) @ ($true))) |
% 14.13/2.65 (((~) @ (iLEQ @ (suc @ X2) @ (suc @ X5)))) |
% 14.13/2.65 (((~) @ (E @ (f @ X2) @ (f @ (suc @ (suc @ X2)))))) |
% 14.13/2.65 (((~) @ ($true))) | (((~) @ ($true))) |
% 14.13/2.65 (((~) @ (iLEQ @ (suc @ X0) @ (suc @ X4)))) | (((~) @ ($true))) |
% 14.13/2.65 (((~) @ ($true))) | (((~) @ ($true))) | (((~) @ ($true))) |
% 14.13/2.65 (((~) @ ($true))) | (((~) @ ($true))) | (((~) @ ($true))) |
% 14.13/2.65 (((~) @ ($true))) | (((~) @ ($true))) | (((~) @ ($true))) |
% 14.13/2.65 (((~) @ (E @ (f @ X5) @ (f @ (suc @ (suc @ X5)))))) |
% 14.13/2.65 (((~) @ ($true))) | (((~) @ ($true))) | (((~) @ ($true))) |
% 14.13/2.65 (((~) @ ($true))) | (((~) @ ($true))) | (((~) @ ($true))) |
% 14.13/2.65 (((~) @ (E @ (f @ X4) @ (f @ (suc @ (suc @ X4)))))) |
% 14.13/2.65 (((~) @ ($true))) | (((~) @ (iLEQ @ (suc @ X5) @ (suc @ X3)))) |
% 14.13/2.65 (E @ (f @ X3) @ (f @ (suc @ (suc @ X3)))) |
% 14.13/2.65 (E @ (f @ X1) @ (f @ (suc @ (suc @ X1))))))),
% 14.13/2.65 inference('demod', [status(thm)],
% 14.13/2.65 [zip_derived_cl42, zip_derived_cl90, zip_derived_cl787,
% 14.13/2.65 zip_derived_cl90, zip_derived_cl90, zip_derived_cl90,
% 14.13/2.65 zip_derived_cl90, zip_derived_cl787, zip_derived_cl90,
% 14.13/2.65 zip_derived_cl787, zip_derived_cl90, zip_derived_cl90,
% 14.13/2.65 zip_derived_cl90, zip_derived_cl787, zip_derived_cl90,
% 14.13/2.65 zip_derived_cl787, zip_derived_cl90, zip_derived_cl90,
% 14.13/2.65 zip_derived_cl90, zip_derived_cl90, zip_derived_cl787,
% 14.13/2.65 zip_derived_cl90, zip_derived_cl90, zip_derived_cl90,
% 14.13/2.65 zip_derived_cl90, zip_derived_cl90, zip_derived_cl90,
% 14.13/2.65 zip_derived_cl90, zip_derived_cl90])).
% 14.13/2.65 thf(zip_derived_cl1549, plain,
% 14.13/2.65 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 14.13/2.65 (((E @ (f @ X3) @ (f @ (suc @ (suc @ X3)))) |
% 14.13/2.65 (((~) @ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0)))))) |
% 14.13/2.65 (((~) @ (iLEQ @ (suc @ X1) @ (suc @ X0)))) |
% 14.13/2.65 (((~) @ (iLEQ @ (suc @ X3) @ (suc @ X1)))) |
% 14.13/2.65 (((~) @ (E @ (f @ X2) @ (f @ (suc @ (suc @ X2)))))) |
% 14.13/2.65 (E @ (f @ X1) @ (f @ (suc @ (suc @ X1)))) |
% 14.13/2.65 (((~) @ (E @ (f @ X4) @ (f @ (suc @ (suc @ X4)))))) |
% 14.13/2.65 (((~) @ (iLEQ @ (suc @ X2) @ (suc @ X5)))) |
% 14.13/2.65 (((~) @ (iLEQ @ (suc @ X0) @ (suc @ X4)))) |
% 14.13/2.65 (((~) @ (iLEQ @ (suc @ X5) @ (suc @ X3)))) |
% 14.13/2.65 (((~) @ (E @ (f @ X5) @ (f @ (suc @ (suc @ X5))))))))),
% 14.13/2.65 inference('simplify boolean subterms', [status(thm)],
% 14.13/2.65 [zip_derived_cl1548])).
% 14.13/2.65 thf(zip_derived_cl1550, plain,
% 14.13/2.65 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 14.13/2.65 ( (E @ (f @ X3) @ (f @ (suc @ (suc @ X3))))
% 14.13/2.65 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 14.13/2.65 | ~ (iLEQ @ (suc @ X1) @ (suc @ X0))
% 14.13/2.65 | ~ (iLEQ @ (suc @ X3) @ (suc @ X1))
% 14.13/2.65 | ~ (E @ (f @ X2) @ (f @ (suc @ (suc @ X2))))
% 14.13/2.65 | (E @ (f @ X1) @ (f @ (suc @ (suc @ X1))))
% 14.13/2.65 | ~ (E @ (f @ X4) @ (f @ (suc @ (suc @ X4))))
% 14.13/2.65 | ~ (iLEQ @ (suc @ X2) @ (suc @ X5))
% 14.13/2.65 | ~ (iLEQ @ (suc @ X0) @ (suc @ X4))
% 14.13/2.65 | ~ (iLEQ @ (suc @ X5) @ (suc @ X3))
% 14.13/2.65 | ~ (E @ (f @ X5) @ (f @ (suc @ (suc @ X5)))))),
% 14.13/2.65 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl1549])).
% 14.13/2.65 thf(zip_derived_cl1554, plain,
% 14.13/2.65 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 14.13/2.65 (~ (E @ (f @ X1) @ (f @ (suc @ (suc @ X1))))
% 14.13/2.65 | ~ (iLEQ @ (suc @ X1) @ (suc @ X2))
% 14.13/2.65 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 14.13/2.65 | ~ (iLEQ @ (suc @ X3) @ (suc @ X1))
% 14.13/2.65 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 14.13/2.65 | (E @ (f @ X4) @ (f @ (suc @ (suc @ X4))))
% 14.13/2.65 | ~ (E @ (f @ X3) @ (f @ (suc @ (suc @ X3))))
% 14.13/2.65 | ~ (iLEQ @ (suc @ X2) @ (suc @ X4))
% 14.13/2.65 | ~ (iLEQ @ (suc @ X4) @ (suc @ X0))
% 14.13/2.65 | (E @ (f @ X2) @ (f @ (suc @ (suc @ X2)))))),
% 14.13/2.65 inference('eq_fact', [status(thm)], [zip_derived_cl1550])).
% 14.13/2.65 thf(zip_derived_cl744, plain,
% 14.13/2.65 (![X0 : $i]: (iLEQ @ (suc @ X0) @ (suc @ X0))),
% 14.13/2.65 inference('clc', [status(thm)], [zip_derived_cl743, zip_derived_cl739])).
% 14.13/2.65 thf(zip_derived_cl1556, plain,
% 14.13/2.65 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 14.13/2.65 (~ (E @ (f @ X1) @ (f @ (suc @ (suc @ X1))))
% 14.13/2.65 | ~ (iLEQ @ (suc @ X1) @ (suc @ X2))
% 14.13/2.65 | ~ (iLEQ @ (suc @ X3) @ (suc @ X1))
% 14.13/2.65 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 14.13/2.65 | (E @ (f @ X4) @ (f @ (suc @ (suc @ X4))))
% 14.13/2.65 | ~ (E @ (f @ X3) @ (f @ (suc @ (suc @ X3))))
% 14.13/2.65 | ~ (iLEQ @ (suc @ X2) @ (suc @ X4))
% 14.13/2.65 | ~ (iLEQ @ (suc @ X4) @ (suc @ X0))
% 14.13/2.65 | (E @ (f @ X2) @ (f @ (suc @ (suc @ X2)))))),
% 14.13/2.65 inference('demod', [status(thm)], [zip_derived_cl1554, zip_derived_cl744])).
% 14.13/2.65 thf(zip_derived_cl1559, plain,
% 14.13/2.65 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 14.13/2.65 ( (E @ (f @ X1) @ (f @ (suc @ (suc @ X1))))
% 14.13/2.65 | ~ (iLEQ @ (suc @ X3) @ (suc @ X2))
% 14.13/2.65 | ~ (iLEQ @ (suc @ X1) @ (suc @ X3))
% 14.13/2.65 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 14.13/2.65 | (E @ (f @ X3) @ (f @ (suc @ (suc @ X3))))
% 14.13/2.65 | ~ (E @ (f @ X2) @ (f @ (suc @ (suc @ X2))))
% 14.13/2.65 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 14.13/2.65 | ~ (iLEQ @ (suc @ X0) @ (suc @ X1)))),
% 14.13/2.65 inference('eq_fact', [status(thm)], [zip_derived_cl1556])).
% 14.13/2.65 thf(zip_derived_cl744, plain,
% 14.13/2.65 (![X0 : $i]: (iLEQ @ (suc @ X0) @ (suc @ X0))),
% 14.13/2.65 inference('clc', [status(thm)], [zip_derived_cl743, zip_derived_cl739])).
% 14.13/2.65 thf(zip_derived_cl1561, plain,
% 14.13/2.65 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 14.13/2.65 ( (E @ (f @ X1) @ (f @ (suc @ (suc @ X1))))
% 14.13/2.65 | ~ (iLEQ @ (suc @ X3) @ (suc @ X2))
% 14.13/2.65 | ~ (iLEQ @ (suc @ X1) @ (suc @ X3))
% 14.13/2.65 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 14.13/2.65 | (E @ (f @ X3) @ (f @ (suc @ (suc @ X3))))
% 14.13/2.65 | ~ (E @ (f @ X2) @ (f @ (suc @ (suc @ X2))))
% 14.13/2.65 | ~ (iLEQ @ (suc @ X0) @ (suc @ X1)))),
% 14.13/2.65 inference('demod', [status(thm)], [zip_derived_cl1559, zip_derived_cl744])).
% 14.13/2.65 thf(zip_derived_cl1574, plain,
% 14.13/2.65 (![X0 : $i, X1 : $i, X2 : $i]:
% 14.13/2.65 (~ (iLEQ @ (suc @ X0) @ (suc @ X1))
% 14.13/2.65 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 14.13/2.65 | (E @ (f @ X2) @ (f @ (suc @ (suc @ X2))))
% 14.13/2.65 | ~ (iLEQ @ (suc @ X1) @ (suc @ X2))
% 14.13/2.65 | ~ (iLEQ @ (suc @ X2) @ (suc @ X0))
% 14.13/2.65 | (E @ (f @ X1) @ (f @ (suc @ (suc @ X1)))))),
% 14.13/2.65 inference('eq_fact', [status(thm)], [zip_derived_cl1561])).
% 14.13/2.65 thf(zip_derived_cl1986, plain,
% 14.13/2.65 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 14.13/2.65 (~ (iLEQ @ (suc @ X0) @ (suc @ X2))
% 14.13/2.65 | ~ (iLEQ @ (suc @ X3) @ (suc @ X1))
% 14.13/2.65 | (E @ (f @ X2) @ (f @ (suc @ (suc @ X2))))
% 14.13/2.65 | (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 14.13/2.65 | ~ (iLEQ @ (suc @ X0) @ (suc @ X3))
% 14.13/2.65 | ~ (iLEQ @ (suc @ X1) @ (suc @ X0))
% 14.13/2.65 | (E @ (f @ X1) @ (f @ (suc @ (suc @ X1)))))),
% 14.13/2.65 inference('clc', [status(thm)], [zip_derived_cl1975, zip_derived_cl1574])).
% 14.13/2.65 thf(zip_derived_cl1988, plain,
% 14.13/2.65 (![X0 : $i, X1 : $i]:
% 14.13/2.65 ( (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 14.13/2.65 | ~ (iLEQ @ (suc @ X0) @ (suc @ X1))
% 14.13/2.65 | ~ (iLEQ @ (suc @ X1) @ (suc @ X1))
% 14.13/2.65 | (E @ (f @ X1) @ (f @ (suc @ (suc @ X1))))
% 14.13/2.65 | (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 14.13/2.65 | ~ (iLEQ @ (suc @ X1) @ (suc @ X0)))),
% 14.13/2.65 inference('eq_fact', [status(thm)], [zip_derived_cl1986])).
% 14.13/2.65 thf(zip_derived_cl1990, plain,
% 14.13/2.65 (![X0 : $i, X1 : $i]:
% 14.13/2.65 (~ (iLEQ @ (suc @ X1) @ (suc @ X0))
% 14.13/2.65 | (E @ (f @ X1) @ (f @ (suc @ (suc @ X1))))
% 14.13/2.65 | ~ (iLEQ @ (suc @ X1) @ (suc @ X1))
% 14.13/2.65 | ~ (iLEQ @ (suc @ X0) @ (suc @ X1))
% 14.13/2.65 | (E @ (f @ X0) @ (f @ (suc @ (suc @ X0)))))),
% 14.13/2.65 inference('simplify', [status(thm)], [zip_derived_cl1988])).
% 14.13/2.65 thf(zip_derived_cl744, plain,
% 14.13/2.65 (![X0 : $i]: (iLEQ @ (suc @ X0) @ (suc @ X0))),
% 14.13/2.65 inference('clc', [status(thm)], [zip_derived_cl743, zip_derived_cl739])).
% 14.13/2.65 thf(zip_derived_cl1991, plain,
% 14.13/2.65 (![X0 : $i, X1 : $i]:
% 14.13/2.65 (~ (iLEQ @ (suc @ X1) @ (suc @ X0))
% 14.13/2.65 | (E @ (f @ X1) @ (f @ (suc @ (suc @ X1))))
% 14.13/2.65 | ~ (iLEQ @ (suc @ X0) @ (suc @ X1))
% 14.13/2.65 | (E @ (f @ X0) @ (f @ (suc @ (suc @ X0)))))),
% 14.13/2.65 inference('demod', [status(thm)], [zip_derived_cl1990, zip_derived_cl744])).
% 14.13/2.65 thf(zip_derived_cl1993, plain,
% 14.13/2.65 (![X0 : $i]:
% 14.13/2.65 ( (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 14.13/2.65 | (E @ (f @ X0) @ (f @ (suc @ (suc @ X0)))))),
% 14.13/2.65 inference('s_sup-', [status(thm)],
% 14.13/2.65 [zip_derived_cl744, zip_derived_cl1991])).
% 14.13/2.65 thf(zip_derived_cl1994, plain,
% 14.13/2.65 (![X0 : $i]: (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))),
% 14.13/2.65 inference('simplify', [status(thm)], [zip_derived_cl1993])).
% 14.13/2.65 thf(zip_derived_cl787, plain,
% 14.13/2.65 (![X0 : $i]: (E @ (f @ X0) @ (f @ (suc @ X0)))),
% 14.13/2.65 inference('simplify', [status(thm)], [zip_derived_cl786])).
% 14.13/2.65 thf(zip_derived_cl90, plain, (![X0 : $i]: (E @ 0 @ (f @ X0))),
% 14.13/2.65 inference('cnf', [status(esa)], [clause_6244])).
% 14.13/2.65 thf(zip_derived_cl90, plain, (![X0 : $i]: (E @ 0 @ (f @ X0))),
% 14.13/2.65 inference('cnf', [status(esa)], [clause_6244])).
% 14.13/2.65 thf(zip_derived_cl90, plain, (![X0 : $i]: (E @ 0 @ (f @ X0))),
% 14.13/2.65 inference('cnf', [status(esa)], [clause_6244])).
% 14.13/2.65 thf(zip_derived_cl90, plain, (![X0 : $i]: (E @ 0 @ (f @ X0))),
% 14.13/2.65 inference('cnf', [status(esa)], [clause_6244])).
% 14.13/2.65 thf(zip_derived_cl90, plain, (![X0 : $i]: (E @ 0 @ (f @ X0))),
% 14.13/2.65 inference('cnf', [status(esa)], [clause_6244])).
% 14.13/2.65 thf(zip_derived_cl787, plain,
% 14.13/2.65 (![X0 : $i]: (E @ (f @ X0) @ (f @ (suc @ X0)))),
% 14.13/2.65 inference('simplify', [status(thm)], [zip_derived_cl786])).
% 14.13/2.65 thf(zip_derived_cl90, plain, (![X0 : $i]: (E @ 0 @ (f @ X0))),
% 14.13/2.65 inference('cnf', [status(esa)], [clause_6244])).
% 14.13/2.65 thf(zip_derived_cl787, plain,
% 14.13/2.65 (![X0 : $i]: (E @ (f @ X0) @ (f @ (suc @ X0)))),
% 14.13/2.65 inference('simplify', [status(thm)], [zip_derived_cl786])).
% 14.13/2.65 thf(zip_derived_cl1994, plain,
% 14.13/2.65 (![X0 : $i]: (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))),
% 14.13/2.65 inference('simplify', [status(thm)], [zip_derived_cl1993])).
% 14.13/2.65 thf(zip_derived_cl90, plain, (![X0 : $i]: (E @ 0 @ (f @ X0))),
% 14.13/2.65 inference('cnf', [status(esa)], [clause_6244])).
% 14.13/2.65 thf(zip_derived_cl90, plain, (![X0 : $i]: (E @ 0 @ (f @ X0))),
% 14.13/2.65 inference('cnf', [status(esa)], [clause_6244])).
% 14.13/2.65 thf(zip_derived_cl90, plain, (![X0 : $i]: (E @ 0 @ (f @ X0))),
% 14.13/2.65 inference('cnf', [status(esa)], [clause_6244])).
% 14.13/2.65 thf(zip_derived_cl787, plain,
% 14.13/2.65 (![X0 : $i]: (E @ (f @ X0) @ (f @ (suc @ X0)))),
% 14.13/2.65 inference('simplify', [status(thm)], [zip_derived_cl786])).
% 14.13/2.65 thf(zip_derived_cl90, plain, (![X0 : $i]: (E @ 0 @ (f @ X0))),
% 14.13/2.65 inference('cnf', [status(esa)], [clause_6244])).
% 14.13/2.65 thf(zip_derived_cl787, plain,
% 14.13/2.65 (![X0 : $i]: (E @ (f @ X0) @ (f @ (suc @ X0)))),
% 14.13/2.65 inference('simplify', [status(thm)], [zip_derived_cl786])).
% 14.13/2.65 thf(zip_derived_cl90, plain, (![X0 : $i]: (E @ 0 @ (f @ X0))),
% 14.13/2.65 inference('cnf', [status(esa)], [clause_6244])).
% 14.13/2.65 thf(zip_derived_cl90, plain, (![X0 : $i]: (E @ 0 @ (f @ X0))),
% 14.13/2.65 inference('cnf', [status(esa)], [clause_6244])).
% 14.13/2.65 thf(zip_derived_cl90, plain, (![X0 : $i]: (E @ 0 @ (f @ X0))),
% 14.13/2.65 inference('cnf', [status(esa)], [clause_6244])).
% 14.13/2.65 thf(zip_derived_cl90, plain, (![X0 : $i]: (E @ 0 @ (f @ X0))),
% 14.13/2.65 inference('cnf', [status(esa)], [clause_6244])).
% 14.13/2.65 thf(zip_derived_cl787, plain,
% 14.13/2.65 (![X0 : $i]: (E @ (f @ X0) @ (f @ (suc @ X0)))),
% 14.13/2.65 inference('simplify', [status(thm)], [zip_derived_cl786])).
% 14.13/2.65 thf(zip_derived_cl90, plain, (![X0 : $i]: (E @ 0 @ (f @ X0))),
% 14.13/2.65 inference('cnf', [status(esa)], [clause_6244])).
% 14.13/2.65 thf(zip_derived_cl1994, plain,
% 14.13/2.65 (![X0 : $i]: (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))),
% 14.13/2.65 inference('simplify', [status(thm)], [zip_derived_cl1993])).
% 14.13/2.65 thf(zip_derived_cl90, plain, (![X0 : $i]: (E @ 0 @ (f @ X0))),
% 14.13/2.65 inference('cnf', [status(esa)], [clause_6244])).
% 14.13/2.65 thf(zip_derived_cl90, plain, (![X0 : $i]: (E @ 0 @ (f @ X0))),
% 14.13/2.65 inference('cnf', [status(esa)], [clause_6244])).
% 14.13/2.65 thf(zip_derived_cl90, plain, (![X0 : $i]: (E @ 0 @ (f @ X0))),
% 14.13/2.65 inference('cnf', [status(esa)], [clause_6244])).
% 14.13/2.65 thf(zip_derived_cl90, plain, (![X0 : $i]: (E @ 0 @ (f @ X0))),
% 14.13/2.65 inference('cnf', [status(esa)], [clause_6244])).
% 14.13/2.65 thf(zip_derived_cl90, plain, (![X0 : $i]: (E @ 0 @ (f @ X0))),
% 14.13/2.65 inference('cnf', [status(esa)], [clause_6244])).
% 14.13/2.65 thf(zip_derived_cl90, plain, (![X0 : $i]: (E @ 0 @ (f @ X0))),
% 14.13/2.65 inference('cnf', [status(esa)], [clause_6244])).
% 14.13/2.65 thf(zip_derived_cl90, plain, (![X0 : $i]: (E @ 0 @ (f @ X0))),
% 14.13/2.65 inference('cnf', [status(esa)], [clause_6244])).
% 14.13/2.65 thf(zip_derived_cl1994, plain,
% 14.13/2.65 (![X0 : $i]: (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))),
% 14.13/2.65 inference('simplify', [status(thm)], [zip_derived_cl1993])).
% 14.13/2.65 thf(zip_derived_cl1994, plain,
% 14.13/2.65 (![X0 : $i]: (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))),
% 14.13/2.65 inference('simplify', [status(thm)], [zip_derived_cl1993])).
% 14.13/2.65 thf(zip_derived_cl90, plain, (![X0 : $i]: (E @ 0 @ (f @ X0))),
% 14.13/2.65 inference('cnf', [status(esa)], [clause_6244])).
% 14.13/2.65 thf(zip_derived_cl1994, plain,
% 14.13/2.65 (![X0 : $i]: (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))),
% 14.13/2.65 inference('simplify', [status(thm)], [zip_derived_cl1993])).
% 14.13/2.65 thf(zip_derived_cl2396, plain,
% 14.13/2.65 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 14.13/2.65 (((((~) @ ($true))) | (((~) @ ($true))) | (((~) @ ($true))) |
% 14.13/2.65 (((~) @ (iLEQ @ (suc @ X1) @ (suc @ X0)))) | (((~) @ ($true))) |
% 14.13/2.65 (((~) @ (iLEQ @ (suc @ X3) @ (suc @ X1)))) | (((~) @ ($true))) |
% 14.13/2.65 (((~) @ ($true))) | (((~) @ ($true))) | (((~) @ ($true))) |
% 14.13/2.65 (((~) @ ($true))) | (((~) @ ($true))) | (((~) @ ($true))) |
% 14.13/2.65 (((~) @ (iLEQ @ (suc @ X2) @ (suc @ X5)))) | (((~) @ ($true))) |
% 14.13/2.65 (((~) @ ($true))) | (((~) @ ($true))) |
% 14.13/2.65 (((~) @ (iLEQ @ (suc @ X0) @ (suc @ X4)))) | (((~) @ ($true))) |
% 14.13/2.65 (((~) @ ($true))) | (((~) @ ($true))) | (((~) @ ($true))) |
% 14.13/2.65 (((~) @ ($true))) | (((~) @ ($true))) | (((~) @ ($true))) |
% 14.13/2.65 (((~) @ ($true))) | (((~) @ ($true))) | (((~) @ ($true))) |
% 14.13/2.65 (((~) @ ($true))) | (((~) @ ($true))) | (((~) @ ($true))) |
% 14.13/2.65 (((~) @ ($true))) | (((~) @ ($true))) | (((~) @ ($true))) |
% 14.13/2.65 (((~) @ ($true))) | (((~) @ ($true))) | (((~) @ ($true))) |
% 14.13/2.65 (((~) @ ($true))) | (((~) @ ($true))) |
% 14.13/2.65 (((~) @ (iLEQ @ (suc @ X5) @ (suc @ X3)))) | (((~) @ ($true)))))),
% 14.13/2.65 inference('demod', [status(thm)],
% 14.13/2.65 [zip_derived_cl500, zip_derived_cl90, zip_derived_cl1994,
% 14.13/2.65 zip_derived_cl787, zip_derived_cl90, zip_derived_cl90,
% 14.13/2.65 zip_derived_cl90, zip_derived_cl90, zip_derived_cl90,
% 14.13/2.65 zip_derived_cl787, zip_derived_cl90, zip_derived_cl787,
% 14.13/2.65 zip_derived_cl1994, zip_derived_cl90, zip_derived_cl90,
% 14.13/2.65 zip_derived_cl90, zip_derived_cl787, zip_derived_cl90,
% 14.13/2.65 zip_derived_cl787, zip_derived_cl90, zip_derived_cl90,
% 14.13/2.65 zip_derived_cl90, zip_derived_cl90, zip_derived_cl787,
% 14.13/2.65 zip_derived_cl90, zip_derived_cl1994, zip_derived_cl90,
% 14.13/2.65 zip_derived_cl90, zip_derived_cl90, zip_derived_cl90,
% 14.13/2.65 zip_derived_cl90, zip_derived_cl90, zip_derived_cl90,
% 14.13/2.65 zip_derived_cl1994, zip_derived_cl1994, zip_derived_cl90,
% 14.13/2.65 zip_derived_cl1994])).
% 14.13/2.65 thf(zip_derived_cl2397, plain,
% 14.13/2.65 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 14.13/2.65 (((((~) @ (iLEQ @ (suc @ X1) @ (suc @ X0)))) |
% 14.13/2.65 (((~) @ (iLEQ @ (suc @ X3) @ (suc @ X1)))) |
% 14.13/2.65 (((~) @ (iLEQ @ (suc @ X2) @ (suc @ X5)))) |
% 14.13/2.65 (((~) @ (iLEQ @ (suc @ X0) @ (suc @ X4)))) |
% 14.13/2.65 (((~) @ (iLEQ @ (suc @ X5) @ (suc @ X3))))))),
% 14.13/2.65 inference('simplify boolean subterms', [status(thm)],
% 14.13/2.65 [zip_derived_cl2396])).
% 14.13/2.65 thf(zip_derived_cl2398, plain,
% 14.13/2.65 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 14.13/2.65 (~ (iLEQ @ (suc @ X1) @ (suc @ X0))
% 14.13/2.65 | ~ (iLEQ @ (suc @ X3) @ (suc @ X1))
% 14.13/2.65 | ~ (iLEQ @ (suc @ X2) @ (suc @ X5))
% 14.13/2.65 | ~ (iLEQ @ (suc @ X0) @ (suc @ X4))
% 14.13/2.65 | ~ (iLEQ @ (suc @ X5) @ (suc @ X3)))),
% 14.13/2.65 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl2397])).
% 14.13/2.65 thf(zip_derived_cl2399, plain,
% 14.13/2.65 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 14.13/2.65 (~ (iLEQ @ (suc @ X1) @ (suc @ X0))
% 14.13/2.65 | ~ (iLEQ @ (suc @ X3) @ (suc @ X2))
% 14.13/2.65 | ~ (iLEQ @ (suc @ X0) @ (suc @ X4))
% 14.13/2.65 | ~ (iLEQ @ (suc @ X2) @ (suc @ X1)))),
% 14.13/2.65 inference('s_sup-', [status(thm)],
% 14.13/2.65 [zip_derived_cl744, zip_derived_cl2398])).
% 14.13/2.65 thf(zip_derived_cl2409, plain,
% 14.13/2.65 (![X0 : $i, X1 : $i, X2 : $i]:
% 14.13/2.65 (~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 14.13/2.65 | ~ (iLEQ @ (suc @ X0) @ (suc @ X1))
% 14.13/2.65 | ~ (iLEQ @ (suc @ X2) @ (suc @ X0)))),
% 14.13/2.65 inference('eq_fact', [status(thm)], [zip_derived_cl2399])).
% 14.13/2.65 thf(zip_derived_cl744, plain,
% 14.13/2.65 (![X0 : $i]: (iLEQ @ (suc @ X0) @ (suc @ X0))),
% 14.13/2.65 inference('clc', [status(thm)], [zip_derived_cl743, zip_derived_cl739])).
% 14.13/2.65 thf(zip_derived_cl2410, plain,
% 14.13/2.65 (![X0 : $i, X1 : $i, X2 : $i]:
% 14.13/2.65 (~ (iLEQ @ (suc @ X0) @ (suc @ X1))
% 14.13/2.65 | ~ (iLEQ @ (suc @ X2) @ (suc @ X0)))),
% 14.13/2.65 inference('demod', [status(thm)], [zip_derived_cl2409, zip_derived_cl744])).
% 14.13/2.65 thf(zip_derived_cl2413, plain,
% 14.13/2.65 (![X0 : $i]: ~ (iLEQ @ (suc @ X0) @ (suc @ X0))),
% 14.13/2.65 inference('eq_fact', [status(thm)], [zip_derived_cl2410])).
% 14.13/2.65 thf(zip_derived_cl744, plain,
% 14.13/2.65 (![X0 : $i]: (iLEQ @ (suc @ X0) @ (suc @ X0))),
% 14.13/2.65 inference('clc', [status(thm)], [zip_derived_cl743, zip_derived_cl739])).
% 14.13/2.65 thf(zip_derived_cl2414, plain, ($false),
% 14.13/2.65 inference('demod', [status(thm)], [zip_derived_cl2413, zip_derived_cl744])).
% 14.13/2.65
% 14.13/2.65 % SZS output end Refutation
% 14.13/2.65
% 14.13/2.65
% 14.13/2.66 % Terminating...
% 14.74/2.76 % Runner terminated.
% 14.74/2.77 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------