TSTP Solution File: SYO684-1 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYO684-1 : TPTP v8.1.2. Released v7.3.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.9DjpSptNvG true
% Computer : n004.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 05:52:34 EDT 2023
% Result : Unsatisfiable 1.63s 1.03s
% Output : Refutation 1.63s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SYO684-1 : TPTP v8.1.2. Released v7.3.0.
% 0.00/0.15 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.9DjpSptNvG true
% 0.16/0.36 % Computer : n004.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Sat Aug 26 06:59:38 EDT 2023
% 0.16/0.36 % CPUTime :
% 0.16/0.36 % Running portfolio for 300 s
% 0.16/0.36 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.37 % Number of cores: 8
% 0.16/0.37 % Python version: Python 3.6.8
% 0.16/0.37 % 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
% 0.23/0.70 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.23/0.73 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.23/0.75 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.23/0.75 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.23/0.75 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.23/0.75 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.23/0.76 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.29/0.78 % /export/starexec/sandbox/solver/bin/fo/fo1_lcnf.sh running for 50s
% 1.63/1.03 % Solved by fo/fo1_av.sh.
% 1.63/1.03 % done 172 iterations in 0.240s
% 1.63/1.03 % SZS status Unsatisfiable for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.63/1.03 % SZS output start Refutation
% 1.63/1.03 thf(f_type, type, f: $i > $i).
% 1.63/1.03 thf(0_type, type, 0: $i).
% 1.63/1.03 thf(s_type, type, s: $i > $i).
% 1.63/1.03 thf(E_type, type, E: $i > $i > $o).
% 1.63/1.03 thf(LE_type, type, LE: $i > $i > $o).
% 1.63/1.03 thf(z_type, type, z: $i).
% 1.63/1.03 thf(suc_type, type, suc: $i > $i).
% 1.63/1.03 thf(clause_40, axiom, (~( LE @ ( f @ z ) @ 0 ))).
% 1.63/1.03 thf(zip_derived_cl10, plain, (~ (LE @ (f @ z) @ 0)),
% 1.63/1.03 inference('cnf', [status(esa)], [clause_40])).
% 1.63/1.03 thf(clause_36, axiom,
% 1.63/1.03 (( ~( LE @ ( f @ ( suc @ ( suc @ ( suc @ ( suc @ B_3 ) ) ) ) ) @ ( s @ 0 ) ) ) |
% 1.63/1.03 ( E @ 0 @ ( f @ ( suc @ ( suc @ ( suc @ ( suc @ B_3 ) ) ) ) ) ) |
% 1.63/1.03 ( LE @ ( f @ B_3 ) @ 0 ))).
% 1.63/1.03 thf(zip_derived_cl16, plain,
% 1.63/1.03 (![X0 : $i]:
% 1.63/1.03 (~ (LE @ (f @ (suc @ (suc @ (suc @ (suc @ X0))))) @ (s @ 0))
% 1.63/1.03 | (E @ 0 @ (f @ (suc @ (suc @ (suc @ (suc @ X0))))))
% 1.63/1.03 | (LE @ (f @ X0) @ 0))),
% 1.63/1.03 inference('cnf', [status(esa)], [clause_36])).
% 1.63/1.03 thf(clause_7, axiom,
% 1.63/1.03 (( ~( LE @
% 1.63/1.03 ( f @ ( suc @ ( suc @ ( suc @ ( suc @ B_2 ) ) ) ) ) @
% 1.63/1.03 ( s @ ( s @ 0 ) ) ) ) |
% 1.63/1.03 ( E @ ( s @ 0 ) @ ( f @ ( suc @ ( suc @ ( suc @ ( suc @ B_2 ) ) ) ) ) ) |
% 1.63/1.03 ( LE @ ( f @ B_2 ) @ ( s @ 0 ) ))).
% 1.63/1.03 thf(zip_derived_cl38, plain,
% 1.63/1.03 (![X0 : $i]:
% 1.63/1.03 (~ (LE @ (f @ (suc @ (suc @ (suc @ (suc @ X0))))) @ (s @ (s @ 0)))
% 1.63/1.03 | (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ (suc @ X0))))))
% 1.63/1.03 | (LE @ (f @ X0) @ (s @ 0)))),
% 1.63/1.03 inference('cnf', [status(esa)], [clause_7])).
% 1.63/1.03 thf(clause_66, axiom,
% 1.63/1.03 (( ~( LE @
% 1.63/1.03 ( f @ ( suc @ ( suc @ ( suc @ ( suc @ B_1 ) ) ) ) ) @
% 1.63/1.03 ( s @ ( s @ ( s @ 0 ) ) ) ) ) |
% 1.63/1.03 ( E @
% 1.63/1.03 ( s @ ( s @ 0 ) ) @ ( f @ ( suc @ ( suc @ ( suc @ ( suc @ B_1 ) ) ) ) ) ) |
% 1.63/1.03 ( LE @ ( f @ B_1 ) @ ( s @ ( s @ 0 ) ) ))).
% 1.63/1.03 thf(zip_derived_cl20, plain,
% 1.63/1.03 (![X0 : $i]:
% 1.63/1.03 (~ (LE @ (f @ (suc @ (suc @ (suc @ (suc @ X0))))) @
% 1.63/1.03 (s @ (s @ (s @ 0))))
% 1.63/1.03 | (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ (suc @ (suc @ X0))))))
% 1.63/1.03 | (LE @ (f @ X0) @ (s @ (s @ 0))))),
% 1.63/1.03 inference('cnf', [status(esa)], [clause_66])).
% 1.63/1.03 thf(clause_30, axiom,
% 1.63/1.03 (( ~( E @ ( f @ A_2 ) @ ( f @ ( suc @ ( suc @ A_2 ) ) ) ) ) |
% 1.63/1.03 ( ~( E @ ( s @ ( s @ ( s @ 0 ) ) ) @ ( f @ ( suc @ A_2 ) ) ) ) |
% 1.63/1.03 ( ~( E @
% 1.63/1.03 ( s @ ( s @ ( s @ 0 ) ) ) @ ( f @ ( suc @ ( suc @ ( suc @ A_2 ) ) ) ) ) ) |
% 1.63/1.03 ( ~( E @ ( s @ ( s @ ( s @ 0 ) ) ) @ ( f @ A_2 ) ) ) |
% 1.63/1.03 ( ~( E @ ( s @ ( s @ ( s @ 0 ) ) ) @ ( f @ ( suc @ ( suc @ A_2 ) ) ) ) ) |
% 1.63/1.03 ( ~( E @ ( f @ A_2 ) @ ( f @ ( suc @ A_2 ) ) ) ) |
% 1.63/1.03 ( E @ ( f @ A_2 ) @ ( f @ ( suc @ ( suc @ ( suc @ A_2 ) ) ) ) ))).
% 1.63/1.03 thf(zip_derived_cl6, plain,
% 1.63/1.03 (![X0 : $i]:
% 1.63/1.03 (~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 1.63/1.03 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ X0)))
% 1.63/1.03 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 1.63/1.03 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ X0))
% 1.63/1.03 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ (suc @ X0))))
% 1.63/1.03 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.63/1.03 | (E @ (f @ X0) @ (f @ (suc @ (suc @ (suc @ X0))))))),
% 1.63/1.03 inference('cnf', [status(esa)], [clause_30])).
% 1.63/1.03 thf(clause_76, axiom,
% 1.63/1.03 (( ~( E @ ( s @ ( s @ ( s @ 0 ) ) ) @ ( f @ A_2 ) ) ) |
% 1.63/1.03 ( ~( E @ ( s @ ( s @ ( s @ 0 ) ) ) @ ( f @ ( suc @ A_2 ) ) ) ) |
% 1.63/1.03 ( E @ ( f @ A_2 ) @ ( f @ ( suc @ A_2 ) ) ))).
% 1.63/1.03 thf(zip_derived_cl44, plain,
% 1.63/1.03 (![X0 : $i]:
% 1.63/1.03 (~ (E @ (s @ (s @ (s @ 0))) @ (f @ X0))
% 1.63/1.03 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ X0)))
% 1.63/1.03 | (E @ (f @ X0) @ (f @ (suc @ X0))))),
% 1.63/1.03 inference('cnf', [status(esa)], [clause_76])).
% 1.63/1.03 thf(zip_derived_cl68, plain,
% 1.63/1.03 (![X0 : $i]:
% 1.63/1.03 ( (E @ (f @ X0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 1.63/1.03 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ (suc @ X0))))
% 1.63/1.03 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ X0))
% 1.63/1.03 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 1.63/1.03 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ X0)))
% 1.63/1.03 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0)))))),
% 1.63/1.03 inference('clc', [status(thm)], [zip_derived_cl6, zip_derived_cl44])).
% 1.63/1.03 thf(clause_2, axiom,
% 1.63/1.03 (( ~( LE @
% 1.63/1.03 ( f @ ( suc @ ( suc @ ( suc @ ( suc @ B_0 ) ) ) ) ) @
% 1.63/1.03 ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) ) ) |
% 1.63/1.03 ( E @
% 1.63/1.03 ( s @ ( s @ ( s @ 0 ) ) ) @
% 1.63/1.03 ( f @ ( suc @ ( suc @ ( suc @ ( suc @ B_0 ) ) ) ) ) ) |
% 1.63/1.03 ( LE @ ( f @ B_0 ) @ ( s @ ( s @ ( s @ 0 ) ) ) ))).
% 1.63/1.03 thf(zip_derived_cl7, plain,
% 1.63/1.03 (![X0 : $i]:
% 1.63/1.03 (~ (LE @ (f @ (suc @ (suc @ (suc @ (suc @ X0))))) @
% 1.63/1.03 (s @ (s @ (s @ (s @ 0)))))
% 1.63/1.03 | (E @ (s @ (s @ (s @ 0))) @
% 1.63/1.03 (f @ (suc @ (suc @ (suc @ (suc @ X0))))))
% 1.63/1.03 | (LE @ (f @ X0) @ (s @ (s @ (s @ 0)))))),
% 1.63/1.03 inference('cnf', [status(esa)], [clause_2])).
% 1.63/1.03 thf(clause_69, axiom,
% 1.63/1.03 (( ~( LE @
% 1.63/1.03 ( f @ ( suc @ ( suc @ ( suc @ ( suc @ B ) ) ) ) ) @
% 1.63/1.03 ( s @ ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) ) ) ) |
% 1.63/1.03 ( E @
% 1.63/1.03 ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) @
% 1.63/1.03 ( f @ ( suc @ ( suc @ ( suc @ ( suc @ B ) ) ) ) ) ) |
% 1.63/1.03 ( LE @ ( f @ B ) @ ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) ))).
% 1.63/1.03 thf(zip_derived_cl43, plain,
% 1.63/1.03 (![X0 : $i]:
% 1.63/1.03 (~ (LE @ (f @ (suc @ (suc @ (suc @ (suc @ X0))))) @
% 1.63/1.03 (s @ (s @ (s @ (s @ (s @ 0))))))
% 1.63/1.03 | (E @ (s @ (s @ (s @ (s @ 0)))) @
% 1.63/1.03 (f @ (suc @ (suc @ (suc @ (suc @ X0))))))
% 1.63/1.03 | (LE @ (f @ X0) @ (s @ (s @ (s @ (s @ 0))))))),
% 1.63/1.03 inference('cnf', [status(esa)], [clause_69])).
% 1.63/1.03 thf(clause_19, axiom,
% 1.63/1.03 (LE @ ( f @ A ) @ ( s @ ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) ))).
% 1.63/1.03 thf(zip_derived_cl34, plain,
% 1.63/1.03 (![X0 : $i]: (LE @ (f @ X0) @ (s @ (s @ (s @ (s @ (s @ 0))))))),
% 1.63/1.03 inference('cnf', [status(esa)], [clause_19])).
% 1.63/1.03 thf(zip_derived_cl110, plain,
% 1.63/1.03 (![X0 : $i]:
% 1.63/1.03 ( (E @ (s @ (s @ (s @ (s @ 0)))) @
% 1.63/1.03 (f @ (suc @ (suc @ (suc @ (suc @ X0))))))
% 1.63/1.03 | (LE @ (f @ X0) @ (s @ (s @ (s @ (s @ 0))))))),
% 1.63/1.03 inference('demod', [status(thm)], [zip_derived_cl43, zip_derived_cl34])).
% 1.63/1.03 thf(clause_3, axiom,
% 1.63/1.03 (( ~( E @ ( f @ A_1 ) @ ( f @ ( suc @ ( suc @ ( suc @ A_1 ) ) ) ) ) ) |
% 1.63/1.03 ( ~( E @
% 1.63/1.03 ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) @
% 1.63/1.03 ( f @ ( suc @ ( suc @ ( suc @ A_1 ) ) ) ) ) ) |
% 1.63/1.03 ( ~( E @
% 1.63/1.03 ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) @ ( f @ ( suc @ ( suc @ A_1 ) ) ) ) ) |
% 1.63/1.03 ( ~( E @ ( f @ A_1 ) @ ( f @ ( suc @ ( suc @ A_1 ) ) ) ) ) |
% 1.63/1.03 ( ~( E @ ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) @ ( f @ ( suc @ A_1 ) ) ) ) |
% 1.63/1.03 ( ~( E @ ( f @ A_1 ) @ ( f @ ( suc @ A_1 ) ) ) ) |
% 1.63/1.03 ( ~( E @
% 1.63/1.03 ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) @
% 1.63/1.03 ( f @ ( suc @ ( suc @ ( suc @ ( suc @ A_1 ) ) ) ) ) ) ) |
% 1.63/1.03 ( ~( E @ ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) @ ( f @ A_1 ) ) ))).
% 1.63/1.03 thf(zip_derived_cl32, plain,
% 1.63/1.03 (![X0 : $i]:
% 1.63/1.03 (~ (E @ (f @ X0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 1.63/1.03 | ~ (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 1.63/1.03 | ~ (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ (suc @ (suc @ X0))))
% 1.63/1.03 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 1.63/1.03 | ~ (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ (suc @ X0)))
% 1.63/1.03 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.63/1.03 | ~ (E @ (s @ (s @ (s @ (s @ 0)))) @
% 1.63/1.03 (f @ (suc @ (suc @ (suc @ (suc @ X0))))))
% 1.63/1.03 | ~ (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ X0)))),
% 1.63/1.03 inference('cnf', [status(esa)], [clause_3])).
% 1.63/1.03 thf(clause_25, axiom,
% 1.63/1.03 (( ~( E @ ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) @ ( f @ A_1 ) ) ) |
% 1.63/1.03 ( ~( E @ ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) @ ( f @ ( suc @ A_1 ) ) ) ) |
% 1.63/1.03 ( E @ ( f @ A_1 ) @ ( f @ ( suc @ A_1 ) ) ))).
% 1.63/1.03 thf(zip_derived_cl35, plain,
% 1.63/1.03 (![X0 : $i]:
% 1.63/1.03 (~ (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ X0))
% 1.63/1.03 | ~ (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ (suc @ X0)))
% 1.63/1.03 | (E @ (f @ X0) @ (f @ (suc @ X0))))),
% 1.63/1.03 inference('cnf', [status(esa)], [clause_25])).
% 1.63/1.03 thf(zip_derived_cl73, plain,
% 1.63/1.03 (![X0 : $i]:
% 1.63/1.03 (~ (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ X0))
% 1.63/1.03 | ~ (E @ (s @ (s @ (s @ (s @ 0)))) @
% 1.63/1.03 (f @ (suc @ (suc @ (suc @ (suc @ X0))))))
% 1.63/1.03 | ~ (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ (suc @ X0)))
% 1.63/1.03 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 1.63/1.03 | ~ (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ (suc @ (suc @ X0))))
% 1.63/1.03 | ~ (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 1.63/1.03 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ (suc @ X0))))))),
% 1.63/1.03 inference('clc', [status(thm)], [zip_derived_cl32, zip_derived_cl35])).
% 1.63/1.03 thf(zip_derived_cl115, plain,
% 1.63/1.03 (![X0 : $i]:
% 1.63/1.03 ( (LE @ (f @ X0) @ (s @ (s @ (s @ (s @ 0)))))
% 1.63/1.03 | ~ (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ X0))
% 1.63/1.03 | ~ (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ (suc @ X0)))
% 1.63/1.03 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 1.63/1.03 | ~ (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ (suc @ (suc @ X0))))
% 1.63/1.03 | ~ (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 1.63/1.03 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ (suc @ X0))))))),
% 1.63/1.03 inference('s_sup-', [status(thm)], [zip_derived_cl110, zip_derived_cl73])).
% 1.63/1.03 thf(clause_79, axiom,
% 1.63/1.03 (( ~( LE @ ( f @ B ) @ ( s @ ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) ) ) ) |
% 1.63/1.03 ( E @ ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) @ ( f @ B ) ) |
% 1.63/1.03 ( LE @ ( f @ B ) @ ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) ))).
% 1.63/1.03 thf(zip_derived_cl33, plain,
% 1.63/1.03 (![X0 : $i]:
% 1.63/1.03 (~ (LE @ (f @ X0) @ (s @ (s @ (s @ (s @ (s @ 0))))))
% 1.63/1.03 | (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ X0))
% 1.63/1.03 | (LE @ (f @ X0) @ (s @ (s @ (s @ (s @ 0))))))),
% 1.63/1.03 inference('cnf', [status(esa)], [clause_79])).
% 1.63/1.03 thf(zip_derived_cl34, plain,
% 1.63/1.03 (![X0 : $i]: (LE @ (f @ X0) @ (s @ (s @ (s @ (s @ (s @ 0))))))),
% 1.63/1.03 inference('cnf', [status(esa)], [clause_19])).
% 1.63/1.03 thf(zip_derived_cl49, plain,
% 1.63/1.03 (![X0 : $i]:
% 1.63/1.03 ( (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ X0))
% 1.63/1.03 | (LE @ (f @ X0) @ (s @ (s @ (s @ (s @ 0))))))),
% 1.63/1.03 inference('demod', [status(thm)], [zip_derived_cl33, zip_derived_cl34])).
% 1.63/1.03 thf(zip_derived_cl202, plain,
% 1.63/1.03 (![X0 : $i]:
% 1.63/1.03 (~ (E @ (f @ X0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 1.63/1.03 | ~ (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 1.63/1.03 | ~ (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ (suc @ (suc @ X0))))
% 1.63/1.03 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 1.63/1.03 | ~ (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ (suc @ X0)))
% 1.63/1.03 | (LE @ (f @ X0) @ (s @ (s @ (s @ (s @ 0))))))),
% 1.63/1.03 inference('clc', [status(thm)], [zip_derived_cl115, zip_derived_cl49])).
% 1.63/1.03 thf(clause_70, axiom,
% 1.63/1.03 (( ~( LE @
% 1.63/1.03 ( f @ ( suc @ ( suc @ ( suc @ B ) ) ) ) @
% 1.63/1.03 ( s @ ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) ) ) ) |
% 1.63/1.03 ( E @
% 1.63/1.03 ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) @
% 1.63/1.03 ( f @ ( suc @ ( suc @ ( suc @ B ) ) ) ) ) |
% 1.63/1.03 ( LE @ ( f @ B ) @ ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) ))).
% 1.63/1.03 thf(zip_derived_cl3, plain,
% 1.63/1.03 (![X0 : $i]:
% 1.63/1.03 (~ (LE @ (f @ (suc @ (suc @ (suc @ X0)))) @
% 1.63/1.03 (s @ (s @ (s @ (s @ (s @ 0))))))
% 1.63/1.03 | (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 1.63/1.03 | (LE @ (f @ X0) @ (s @ (s @ (s @ (s @ 0))))))),
% 1.63/1.03 inference('cnf', [status(esa)], [clause_70])).
% 1.63/1.03 thf(zip_derived_cl34, plain,
% 1.63/1.03 (![X0 : $i]: (LE @ (f @ X0) @ (s @ (s @ (s @ (s @ (s @ 0))))))),
% 1.63/1.03 inference('cnf', [status(esa)], [clause_19])).
% 1.63/1.03 thf(zip_derived_cl52, plain,
% 1.63/1.03 (![X0 : $i]:
% 1.63/1.03 ( (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 1.63/1.03 | (LE @ (f @ X0) @ (s @ (s @ (s @ (s @ 0))))))),
% 1.63/1.03 inference('demod', [status(thm)], [zip_derived_cl3, zip_derived_cl34])).
% 1.63/1.03 thf(clause_46, axiom,
% 1.63/1.03 (( ~( E @
% 1.63/1.03 ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) @
% 1.63/1.03 ( f @ ( suc @ ( suc @ ( suc @ A_1 ) ) ) ) ) ) |
% 1.63/1.03 ( ~( E @
% 1.63/1.03 ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) @ ( f @ ( suc @ ( suc @ A_1 ) ) ) ) ) |
% 1.63/1.03 ( ~( E @ ( f @ A_1 ) @ ( f @ ( suc @ ( suc @ A_1 ) ) ) ) ) |
% 1.63/1.03 ( ~( E @ ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) @ ( f @ ( suc @ A_1 ) ) ) ) |
% 1.63/1.03 ( ~( E @ ( f @ A_1 ) @ ( f @ ( suc @ A_1 ) ) ) ) |
% 1.63/1.03 ( ~( E @ ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) @ ( f @ A_1 ) ) ) |
% 1.63/1.03 ( E @ ( f @ A_1 ) @ ( f @ ( suc @ ( suc @ ( suc @ A_1 ) ) ) ) ))).
% 1.63/1.03 thf(zip_derived_cl11, plain,
% 1.63/1.03 (![X0 : $i]:
% 1.63/1.03 (~ (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 1.63/1.03 | ~ (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ (suc @ (suc @ X0))))
% 1.63/1.03 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 1.63/1.03 | ~ (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ (suc @ X0)))
% 1.63/1.03 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.63/1.03 | ~ (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ X0))
% 1.63/1.03 | (E @ (f @ X0) @ (f @ (suc @ (suc @ (suc @ X0))))))),
% 1.63/1.03 inference('cnf', [status(esa)], [clause_46])).
% 1.63/1.03 thf(clause_55, axiom,
% 1.63/1.03 (( ~( E @
% 1.63/1.03 ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) @ ( f @ ( suc @ ( suc @ A_1 ) ) ) ) ) |
% 1.63/1.03 ( ~( E @ ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) @ ( f @ ( suc @ A_1 ) ) ) ) |
% 1.63/1.03 ( ~( E @ ( f @ A_1 ) @ ( f @ ( suc @ A_1 ) ) ) ) |
% 1.63/1.03 ( ~( E @ ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) @ ( f @ A_1 ) ) ) |
% 1.63/1.03 ( E @ ( f @ A_1 ) @ ( f @ ( suc @ ( suc @ A_1 ) ) ) ))).
% 1.63/1.03 thf(zip_derived_cl18, plain,
% 1.63/1.03 (![X0 : $i]:
% 1.63/1.03 (~ (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ (suc @ (suc @ X0))))
% 1.63/1.03 | ~ (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ (suc @ X0)))
% 1.63/1.03 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.63/1.03 | ~ (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ X0))
% 1.63/1.03 | (E @ (f @ X0) @ (f @ (suc @ (suc @ X0)))))),
% 1.63/1.03 inference('cnf', [status(esa)], [clause_55])).
% 1.63/1.03 thf(zip_derived_cl35, plain,
% 1.63/1.03 (![X0 : $i]:
% 1.63/1.03 (~ (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ X0))
% 1.63/1.03 | ~ (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ (suc @ X0)))
% 1.63/1.03 | (E @ (f @ X0) @ (f @ (suc @ X0))))),
% 1.63/1.03 inference('cnf', [status(esa)], [clause_25])).
% 1.63/1.03 thf(zip_derived_cl78, plain,
% 1.63/1.03 (![X0 : $i]:
% 1.63/1.03 ( (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 1.63/1.03 | ~ (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ X0))
% 1.63/1.03 | ~ (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ (suc @ X0)))
% 1.63/1.03 | ~ (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ (suc @ (suc @ X0)))))),
% 1.63/1.03 inference('clc', [status(thm)], [zip_derived_cl18, zip_derived_cl35])).
% 1.63/1.03 thf(zip_derived_cl91, plain,
% 1.63/1.03 (![X0 : $i]:
% 1.63/1.03 ( (E @ (f @ X0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 1.63/1.03 | ~ (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ X0))
% 1.63/1.03 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.63/1.03 | ~ (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ (suc @ X0)))
% 1.63/1.03 | ~ (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ (suc @ (suc @ X0))))
% 1.63/1.03 | ~ (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ (suc @ (suc @ (suc @ X0))))))),
% 1.63/1.03 inference('clc', [status(thm)], [zip_derived_cl11, zip_derived_cl78])).
% 1.63/1.03 thf(zip_derived_cl35, plain,
% 1.63/1.03 (![X0 : $i]:
% 1.63/1.03 (~ (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ X0))
% 1.63/1.03 | ~ (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ (suc @ X0)))
% 1.63/1.03 | (E @ (f @ X0) @ (f @ (suc @ X0))))),
% 1.63/1.03 inference('cnf', [status(esa)], [clause_25])).
% 1.63/1.03 thf(zip_derived_cl92, plain,
% 1.63/1.03 (![X0 : $i]:
% 1.63/1.03 (~ (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 1.63/1.03 | ~ (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ (suc @ (suc @ X0))))
% 1.63/1.03 | ~ (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ (suc @ X0)))
% 1.63/1.03 | ~ (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ X0))
% 1.63/1.03 | (E @ (f @ X0) @ (f @ (suc @ (suc @ (suc @ X0))))))),
% 1.63/1.03 inference('clc', [status(thm)], [zip_derived_cl91, zip_derived_cl35])).
% 1.63/1.03 thf(zip_derived_cl93, plain,
% 1.63/1.03 (![X0 : $i]:
% 1.63/1.03 ( (LE @ (f @ X0) @ (s @ (s @ (s @ (s @ 0)))))
% 1.63/1.03 | ~ (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ (suc @ (suc @ X0))))
% 1.63/1.03 | ~ (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ (suc @ X0)))
% 1.63/1.03 | ~ (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ X0))
% 1.63/1.03 | (E @ (f @ X0) @ (f @ (suc @ (suc @ (suc @ X0))))))),
% 1.63/1.03 inference('s_sup-', [status(thm)], [zip_derived_cl52, zip_derived_cl92])).
% 1.63/1.03 thf(clause_35, axiom,
% 1.63/1.03 (( ~( LE @
% 1.63/1.03 ( f @ ( suc @ ( suc @ B ) ) ) @
% 1.63/1.03 ( s @ ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) ) ) ) |
% 1.63/1.03 ( E @ ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) @ ( f @ ( suc @ ( suc @ B ) ) ) ) |
% 1.63/1.03 ( LE @ ( f @ B ) @ ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) ))).
% 1.63/1.03 thf(zip_derived_cl9, plain,
% 1.63/1.03 (![X0 : $i]:
% 1.63/1.03 (~ (LE @ (f @ (suc @ (suc @ X0))) @ (s @ (s @ (s @ (s @ (s @ 0))))))
% 1.63/1.03 | (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ (suc @ (suc @ X0))))
% 1.63/1.03 | (LE @ (f @ X0) @ (s @ (s @ (s @ (s @ 0))))))),
% 1.63/1.03 inference('cnf', [status(esa)], [clause_35])).
% 1.63/1.03 thf(zip_derived_cl34, plain,
% 1.63/1.03 (![X0 : $i]: (LE @ (f @ X0) @ (s @ (s @ (s @ (s @ (s @ 0))))))),
% 1.63/1.03 inference('cnf', [status(esa)], [clause_19])).
% 1.63/1.03 thf(zip_derived_cl81, plain,
% 1.63/1.03 (![X0 : $i]:
% 1.63/1.03 ( (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ (suc @ (suc @ X0))))
% 1.63/1.03 | (LE @ (f @ X0) @ (s @ (s @ (s @ (s @ 0))))))),
% 1.63/1.03 inference('demod', [status(thm)], [zip_derived_cl9, zip_derived_cl34])).
% 1.63/1.03 thf(zip_derived_cl136, plain,
% 1.63/1.03 (![X0 : $i]:
% 1.63/1.03 ( (E @ (f @ X0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 1.63/1.03 | ~ (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ X0))
% 1.63/1.03 | ~ (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ (suc @ X0)))
% 1.63/1.03 | (LE @ (f @ X0) @ (s @ (s @ (s @ (s @ 0))))))),
% 1.63/1.03 inference('clc', [status(thm)], [zip_derived_cl93, zip_derived_cl81])).
% 1.63/1.03 thf(zip_derived_cl49, plain,
% 1.63/1.03 (![X0 : $i]:
% 1.63/1.03 ( (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ X0))
% 1.63/1.03 | (LE @ (f @ X0) @ (s @ (s @ (s @ (s @ 0))))))),
% 1.63/1.03 inference('demod', [status(thm)], [zip_derived_cl33, zip_derived_cl34])).
% 1.63/1.03 thf(zip_derived_cl137, plain,
% 1.63/1.03 (![X0 : $i]:
% 1.63/1.03 ( (LE @ (f @ X0) @ (s @ (s @ (s @ (s @ 0)))))
% 1.63/1.03 | ~ (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ (suc @ X0)))
% 1.63/1.03 | (E @ (f @ X0) @ (f @ (suc @ (suc @ (suc @ X0))))))),
% 1.63/1.03 inference('clc', [status(thm)], [zip_derived_cl136, zip_derived_cl49])).
% 1.63/1.03 thf(clause_4, axiom,
% 1.63/1.03 (( ~( LE @ ( f @ ( suc @ B ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) ) ) ) |
% 1.63/1.03 ( E @ ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) @ ( f @ ( suc @ B ) ) ) |
% 1.63/1.03 ( LE @ ( f @ B ) @ ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) ))).
% 1.63/1.03 thf(zip_derived_cl23, plain,
% 1.63/1.03 (![X0 : $i]:
% 1.63/1.03 (~ (LE @ (f @ (suc @ X0)) @ (s @ (s @ (s @ (s @ (s @ 0))))))
% 1.63/1.03 | (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ (suc @ X0)))
% 1.63/1.03 | (LE @ (f @ X0) @ (s @ (s @ (s @ (s @ 0))))))),
% 1.63/1.03 inference('cnf', [status(esa)], [clause_4])).
% 1.63/1.03 thf(zip_derived_cl34, plain,
% 1.63/1.03 (![X0 : $i]: (LE @ (f @ X0) @ (s @ (s @ (s @ (s @ (s @ 0))))))),
% 1.63/1.03 inference('cnf', [status(esa)], [clause_19])).
% 1.63/1.03 thf(zip_derived_cl59, plain,
% 1.63/1.03 (![X0 : $i]:
% 1.63/1.03 ( (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ (suc @ X0)))
% 1.63/1.03 | (LE @ (f @ X0) @ (s @ (s @ (s @ (s @ 0))))))),
% 1.63/1.03 inference('demod', [status(thm)], [zip_derived_cl23, zip_derived_cl34])).
% 1.63/1.03 thf(zip_derived_cl138, plain,
% 1.63/1.03 (![X0 : $i]:
% 1.63/1.03 ( (E @ (f @ X0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 1.63/1.03 | (LE @ (f @ X0) @ (s @ (s @ (s @ (s @ 0))))))),
% 1.63/1.03 inference('clc', [status(thm)], [zip_derived_cl137, zip_derived_cl59])).
% 1.63/1.03 thf(zip_derived_cl203, plain,
% 1.63/1.03 (![X0 : $i]:
% 1.63/1.03 ( (LE @ (f @ X0) @ (s @ (s @ (s @ (s @ 0)))))
% 1.63/1.03 | ~ (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ (suc @ X0)))
% 1.63/1.03 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 1.63/1.03 | ~ (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ (suc @ (suc @ X0))))
% 1.63/1.03 | ~ (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ (suc @ (suc @ (suc @ X0))))))),
% 1.63/1.03 inference('clc', [status(thm)], [zip_derived_cl202, zip_derived_cl138])).
% 1.63/1.03 thf(zip_derived_cl59, plain,
% 1.63/1.03 (![X0 : $i]:
% 1.63/1.03 ( (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ (suc @ X0)))
% 1.63/1.03 | (LE @ (f @ X0) @ (s @ (s @ (s @ (s @ 0))))))),
% 1.63/1.03 inference('demod', [status(thm)], [zip_derived_cl23, zip_derived_cl34])).
% 1.63/1.03 thf(zip_derived_cl204, plain,
% 1.63/1.03 (![X0 : $i]:
% 1.63/1.03 (~ (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 1.63/1.03 | ~ (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ (suc @ (suc @ X0))))
% 1.63/1.03 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 1.63/1.03 | (LE @ (f @ X0) @ (s @ (s @ (s @ (s @ 0))))))),
% 1.63/1.03 inference('clc', [status(thm)], [zip_derived_cl203, zip_derived_cl59])).
% 1.63/1.03 thf(zip_derived_cl52, plain,
% 1.63/1.03 (![X0 : $i]:
% 1.63/1.03 ( (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 1.63/1.03 | (LE @ (f @ X0) @ (s @ (s @ (s @ (s @ 0))))))),
% 1.63/1.03 inference('demod', [status(thm)], [zip_derived_cl3, zip_derived_cl34])).
% 1.63/1.03 thf(zip_derived_cl205, plain,
% 1.63/1.03 (![X0 : $i]:
% 1.63/1.03 ( (LE @ (f @ X0) @ (s @ (s @ (s @ (s @ 0)))))
% 1.63/1.03 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 1.63/1.03 | ~ (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ (suc @ (suc @ X0)))))),
% 1.63/1.03 inference('clc', [status(thm)], [zip_derived_cl204, zip_derived_cl52])).
% 1.63/1.03 thf(zip_derived_cl81, plain,
% 1.63/1.03 (![X0 : $i]:
% 1.63/1.03 ( (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ (suc @ (suc @ X0))))
% 1.63/1.03 | (LE @ (f @ X0) @ (s @ (s @ (s @ (s @ 0))))))),
% 1.63/1.03 inference('demod', [status(thm)], [zip_derived_cl9, zip_derived_cl34])).
% 1.63/1.03 thf(zip_derived_cl78, plain,
% 1.63/1.03 (![X0 : $i]:
% 1.63/1.03 ( (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 1.63/1.03 | ~ (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ X0))
% 1.63/1.03 | ~ (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ (suc @ X0)))
% 1.63/1.03 | ~ (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ (suc @ (suc @ X0)))))),
% 1.63/1.03 inference('clc', [status(thm)], [zip_derived_cl18, zip_derived_cl35])).
% 1.63/1.03 thf(zip_derived_cl82, plain,
% 1.63/1.03 (![X0 : $i]:
% 1.63/1.03 ( (LE @ (f @ X0) @ (s @ (s @ (s @ (s @ 0)))))
% 1.63/1.03 | (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 1.63/1.03 | ~ (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ X0))
% 1.63/1.03 | ~ (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ (suc @ X0))))),
% 1.63/1.03 inference('s_sup-', [status(thm)], [zip_derived_cl81, zip_derived_cl78])).
% 1.63/1.03 thf(zip_derived_cl49, plain,
% 1.63/1.03 (![X0 : $i]:
% 1.63/1.03 ( (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ X0))
% 1.63/1.03 | (LE @ (f @ X0) @ (s @ (s @ (s @ (s @ 0))))))),
% 1.63/1.03 inference('demod', [status(thm)], [zip_derived_cl33, zip_derived_cl34])).
% 1.63/1.03 thf(zip_derived_cl102, plain,
% 1.63/1.03 (![X0 : $i]:
% 1.63/1.03 (~ (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ (suc @ X0)))
% 1.63/1.03 | (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 1.63/1.03 | (LE @ (f @ X0) @ (s @ (s @ (s @ (s @ 0))))))),
% 1.63/1.03 inference('clc', [status(thm)], [zip_derived_cl82, zip_derived_cl49])).
% 1.63/1.03 thf(zip_derived_cl59, plain,
% 1.63/1.03 (![X0 : $i]:
% 1.63/1.03 ( (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ (suc @ X0)))
% 1.63/1.03 | (LE @ (f @ X0) @ (s @ (s @ (s @ (s @ 0))))))),
% 1.63/1.03 inference('demod', [status(thm)], [zip_derived_cl23, zip_derived_cl34])).
% 1.63/1.03 thf(zip_derived_cl103, plain,
% 1.63/1.03 (![X0 : $i]:
% 1.63/1.03 ( (LE @ (f @ X0) @ (s @ (s @ (s @ (s @ 0)))))
% 1.63/1.03 | (E @ (f @ X0) @ (f @ (suc @ (suc @ X0)))))),
% 1.63/1.03 inference('clc', [status(thm)], [zip_derived_cl102, zip_derived_cl59])).
% 1.63/1.03 thf(zip_derived_cl206, plain,
% 1.63/1.03 (![X0 : $i]:
% 1.63/1.03 (~ (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ (suc @ (suc @ X0))))
% 1.63/1.03 | (LE @ (f @ X0) @ (s @ (s @ (s @ (s @ 0))))))),
% 1.63/1.03 inference('clc', [status(thm)], [zip_derived_cl205, zip_derived_cl103])).
% 1.63/1.03 thf(zip_derived_cl81, plain,
% 1.63/1.03 (![X0 : $i]:
% 1.63/1.03 ( (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ (suc @ (suc @ X0))))
% 1.63/1.03 | (LE @ (f @ X0) @ (s @ (s @ (s @ (s @ 0))))))),
% 1.63/1.03 inference('demod', [status(thm)], [zip_derived_cl9, zip_derived_cl34])).
% 1.63/1.03 thf(zip_derived_cl207, plain,
% 1.63/1.03 (![X0 : $i]: (LE @ (f @ X0) @ (s @ (s @ (s @ (s @ 0)))))),
% 1.63/1.03 inference('clc', [status(thm)], [zip_derived_cl206, zip_derived_cl81])).
% 1.63/1.03 thf(zip_derived_cl210, plain,
% 1.63/1.03 (![X0 : $i]:
% 1.63/1.03 ( (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ (suc @ (suc @ (suc @ X0))))))
% 1.63/1.03 | (LE @ (f @ X0) @ (s @ (s @ (s @ 0)))))),
% 1.63/1.03 inference('demod', [status(thm)], [zip_derived_cl7, zip_derived_cl207])).
% 1.63/1.03 thf(clause_56, axiom,
% 1.63/1.03 (( ~( E @ ( f @ A_2 ) @ ( f @ ( suc @ ( suc @ A_2 ) ) ) ) ) |
% 1.63/1.03 ( ~( E @ ( s @ ( s @ ( s @ 0 ) ) ) @ ( f @ ( suc @ A_2 ) ) ) ) |
% 1.63/1.03 ( ~( E @
% 1.63/1.03 ( s @ ( s @ ( s @ 0 ) ) ) @ ( f @ ( suc @ ( suc @ ( suc @ A_2 ) ) ) ) ) ) |
% 1.63/1.03 ( ~( E @ ( s @ ( s @ ( s @ 0 ) ) ) @ ( f @ A_2 ) ) ) |
% 1.63/1.03 ( ~( E @
% 1.63/1.03 ( s @ ( s @ ( s @ 0 ) ) ) @
% 1.63/1.03 ( f @ ( suc @ ( suc @ ( suc @ ( suc @ A_2 ) ) ) ) ) ) ) |
% 1.63/1.03 ( ~( E @ ( f @ A_2 ) @ ( f @ ( suc @ ( suc @ ( suc @ A_2 ) ) ) ) ) ) |
% 1.63/1.03 ( ~( E @ ( s @ ( s @ ( s @ 0 ) ) ) @ ( f @ ( suc @ ( suc @ A_2 ) ) ) ) ) |
% 1.63/1.03 ( ~( E @ ( f @ A_2 ) @ ( f @ ( suc @ A_2 ) ) ) ))).
% 1.63/1.03 thf(zip_derived_cl25, plain,
% 1.63/1.03 (![X0 : $i]:
% 1.63/1.03 (~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 1.63/1.03 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ X0)))
% 1.63/1.03 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 1.63/1.03 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ X0))
% 1.63/1.03 | ~ (E @ (s @ (s @ (s @ 0))) @
% 1.63/1.03 (f @ (suc @ (suc @ (suc @ (suc @ X0))))))
% 1.63/1.03 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 1.63/1.03 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ (suc @ X0))))
% 1.63/1.03 | ~ (E @ (f @ X0) @ (f @ (suc @ X0))))),
% 1.63/1.03 inference('cnf', [status(esa)], [clause_56])).
% 1.63/1.03 thf(zip_derived_cl44, plain,
% 1.63/1.03 (![X0 : $i]:
% 1.63/1.03 (~ (E @ (s @ (s @ (s @ 0))) @ (f @ X0))
% 1.63/1.03 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ X0)))
% 1.63/1.03 | (E @ (f @ X0) @ (f @ (suc @ X0))))),
% 1.63/1.03 inference('cnf', [status(esa)], [clause_76])).
% 1.63/1.03 thf(zip_derived_cl54, plain,
% 1.63/1.03 (![X0 : $i]:
% 1.63/1.03 (~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ (suc @ X0))))
% 1.63/1.03 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 1.63/1.03 | ~ (E @ (s @ (s @ (s @ 0))) @
% 1.63/1.03 (f @ (suc @ (suc @ (suc @ (suc @ X0))))))
% 1.63/1.03 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ X0))
% 1.63/1.03 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 1.63/1.03 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ X0)))
% 1.63/1.03 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0)))))),
% 1.63/1.03 inference('clc', [status(thm)], [zip_derived_cl25, zip_derived_cl44])).
% 1.63/1.03 thf(zip_derived_cl226, plain,
% 1.63/1.03 (![X0 : $i]:
% 1.63/1.03 ( (LE @ (f @ X0) @ (s @ (s @ (s @ 0))))
% 1.63/1.03 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ (suc @ X0))))
% 1.63/1.03 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 1.63/1.03 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ X0))
% 1.63/1.03 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 1.63/1.03 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ X0)))
% 1.63/1.03 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0)))))),
% 1.63/1.03 inference('s_sup-', [status(thm)], [zip_derived_cl210, zip_derived_cl54])).
% 1.63/1.03 thf(clause_71, axiom,
% 1.63/1.03 (( ~( LE @
% 1.63/1.03 ( f @ ( suc @ ( suc @ B_0 ) ) ) @ ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) ) ) |
% 1.63/1.03 ( E @ ( s @ ( s @ ( s @ 0 ) ) ) @ ( f @ ( suc @ ( suc @ B_0 ) ) ) ) |
% 1.63/1.03 ( LE @ ( f @ B_0 ) @ ( s @ ( s @ ( s @ 0 ) ) ) ))).
% 1.63/1.03 thf(zip_derived_cl15, plain,
% 1.63/1.03 (![X0 : $i]:
% 1.63/1.03 (~ (LE @ (f @ (suc @ (suc @ X0))) @ (s @ (s @ (s @ (s @ 0)))))
% 1.63/1.03 | (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ (suc @ X0))))
% 1.63/1.03 | (LE @ (f @ X0) @ (s @ (s @ (s @ 0)))))),
% 1.63/1.03 inference('cnf', [status(esa)], [clause_71])).
% 1.63/1.03 thf(zip_derived_cl207, plain,
% 1.63/1.03 (![X0 : $i]: (LE @ (f @ X0) @ (s @ (s @ (s @ (s @ 0)))))),
% 1.63/1.03 inference('clc', [status(thm)], [zip_derived_cl206, zip_derived_cl81])).
% 1.63/1.03 thf(zip_derived_cl211, plain,
% 1.63/1.03 (![X0 : $i]:
% 1.63/1.03 ( (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ (suc @ X0))))
% 1.63/1.03 | (LE @ (f @ X0) @ (s @ (s @ (s @ 0)))))),
% 1.63/1.03 inference('demod', [status(thm)], [zip_derived_cl15, zip_derived_cl207])).
% 1.63/1.03 thf(zip_derived_cl236, plain,
% 1.63/1.03 (![X0 : $i]:
% 1.63/1.03 (~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 1.63/1.03 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ X0)))
% 1.63/1.03 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 1.63/1.03 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ X0))
% 1.63/1.03 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 1.63/1.03 | (LE @ (f @ X0) @ (s @ (s @ (s @ 0)))))),
% 1.63/1.03 inference('clc', [status(thm)], [zip_derived_cl226, zip_derived_cl211])).
% 1.63/1.03 thf(clause_60, axiom,
% 1.63/1.03 (( ~( LE @ ( f @ ( suc @ B_0 ) ) @ ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) ) ) |
% 1.63/1.03 ( E @ ( s @ ( s @ ( s @ 0 ) ) ) @ ( f @ ( suc @ B_0 ) ) ) |
% 1.63/1.03 ( LE @ ( f @ B_0 ) @ ( s @ ( s @ ( s @ 0 ) ) ) ))).
% 1.63/1.03 thf(zip_derived_cl2, plain,
% 1.63/1.03 (![X0 : $i]:
% 1.63/1.03 (~ (LE @ (f @ (suc @ X0)) @ (s @ (s @ (s @ (s @ 0)))))
% 1.63/1.03 | (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ X0)))
% 1.63/1.03 | (LE @ (f @ X0) @ (s @ (s @ (s @ 0)))))),
% 1.63/1.03 inference('cnf', [status(esa)], [clause_60])).
% 1.63/1.03 thf(zip_derived_cl207, plain,
% 1.63/1.03 (![X0 : $i]: (LE @ (f @ X0) @ (s @ (s @ (s @ (s @ 0)))))),
% 1.63/1.03 inference('clc', [status(thm)], [zip_derived_cl206, zip_derived_cl81])).
% 1.63/1.03 thf(zip_derived_cl208, plain,
% 1.63/1.03 (![X0 : $i]:
% 1.63/1.03 ( (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ X0)))
% 1.63/1.03 | (LE @ (f @ X0) @ (s @ (s @ (s @ 0)))))),
% 1.63/1.03 inference('demod', [status(thm)], [zip_derived_cl2, zip_derived_cl207])).
% 1.63/1.03 thf(zip_derived_cl237, plain,
% 1.63/1.03 (![X0 : $i]:
% 1.63/1.03 ( (LE @ (f @ X0) @ (s @ (s @ (s @ 0))))
% 1.63/1.03 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 1.63/1.03 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ X0))
% 1.63/1.03 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 1.63/1.03 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0)))))),
% 1.63/1.03 inference('clc', [status(thm)], [zip_derived_cl236, zip_derived_cl208])).
% 1.63/1.03 thf(clause_34, axiom,
% 1.63/1.03 (( ~( LE @ ( f @ B_0 ) @ ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) ) ) |
% 1.63/1.03 ( E @ ( s @ ( s @ ( s @ 0 ) ) ) @ ( f @ B_0 ) ) |
% 1.63/1.03 ( LE @ ( f @ B_0 ) @ ( s @ ( s @ ( s @ 0 ) ) ) ))).
% 1.63/1.03 thf(zip_derived_cl5, plain,
% 1.63/1.03 (![X0 : $i]:
% 1.63/1.03 (~ (LE @ (f @ X0) @ (s @ (s @ (s @ (s @ 0)))))
% 1.63/1.03 | (E @ (s @ (s @ (s @ 0))) @ (f @ X0))
% 1.63/1.03 | (LE @ (f @ X0) @ (s @ (s @ (s @ 0)))))),
% 1.63/1.03 inference('cnf', [status(esa)], [clause_34])).
% 1.63/1.03 thf(zip_derived_cl207, plain,
% 1.63/1.03 (![X0 : $i]: (LE @ (f @ X0) @ (s @ (s @ (s @ (s @ 0)))))),
% 1.63/1.03 inference('clc', [status(thm)], [zip_derived_cl206, zip_derived_cl81])).
% 1.63/1.03 thf(zip_derived_cl209, plain,
% 1.63/1.03 (![X0 : $i]:
% 1.63/1.03 ( (E @ (s @ (s @ (s @ 0))) @ (f @ X0))
% 1.63/1.03 | (LE @ (f @ X0) @ (s @ (s @ (s @ 0)))))),
% 1.63/1.03 inference('demod', [status(thm)], [zip_derived_cl5, zip_derived_cl207])).
% 1.63/1.03 thf(zip_derived_cl238, plain,
% 1.63/1.03 (![X0 : $i]:
% 1.63/1.03 (~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 1.63/1.03 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 1.63/1.03 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 1.63/1.03 | (LE @ (f @ X0) @ (s @ (s @ (s @ 0)))))),
% 1.63/1.03 inference('clc', [status(thm)], [zip_derived_cl237, zip_derived_cl209])).
% 1.63/1.03 thf(clause_24, axiom,
% 1.63/1.03 (( ~( LE @
% 1.63/1.03 ( f @ ( suc @ ( suc @ ( suc @ B_0 ) ) ) ) @
% 1.63/1.03 ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) ) ) |
% 1.63/1.03 ( E @
% 1.63/1.03 ( s @ ( s @ ( s @ 0 ) ) ) @ ( f @ ( suc @ ( suc @ ( suc @ B_0 ) ) ) ) ) |
% 1.63/1.03 ( LE @ ( f @ B_0 ) @ ( s @ ( s @ ( s @ 0 ) ) ) ))).
% 1.63/1.03 thf(zip_derived_cl31, plain,
% 1.63/1.03 (![X0 : $i]:
% 1.63/1.03 (~ (LE @ (f @ (suc @ (suc @ (suc @ X0)))) @ (s @ (s @ (s @ (s @ 0)))))
% 1.63/1.03 | (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 1.63/1.03 | (LE @ (f @ X0) @ (s @ (s @ (s @ 0)))))),
% 1.63/1.03 inference('cnf', [status(esa)], [clause_24])).
% 1.63/1.03 thf(zip_derived_cl207, plain,
% 1.63/1.03 (![X0 : $i]: (LE @ (f @ X0) @ (s @ (s @ (s @ (s @ 0)))))),
% 1.63/1.03 inference('clc', [status(thm)], [zip_derived_cl206, zip_derived_cl81])).
% 1.63/1.03 thf(zip_derived_cl212, plain,
% 1.63/1.03 (![X0 : $i]:
% 1.63/1.03 ( (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 1.63/1.03 | (LE @ (f @ X0) @ (s @ (s @ (s @ 0)))))),
% 1.63/1.03 inference('demod', [status(thm)], [zip_derived_cl31, zip_derived_cl207])).
% 1.63/1.03 thf(zip_derived_cl239, plain,
% 1.63/1.03 (![X0 : $i]:
% 1.63/1.03 ( (LE @ (f @ X0) @ (s @ (s @ (s @ 0))))
% 1.63/1.03 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 1.63/1.03 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0)))))),
% 1.63/1.03 inference('clc', [status(thm)], [zip_derived_cl238, zip_derived_cl212])).
% 1.63/1.03 thf(zip_derived_cl244, plain,
% 1.63/1.03 (![X0 : $i]:
% 1.63/1.03 (~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 1.63/1.03 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ X0)))
% 1.63/1.03 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 1.63/1.03 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ X0))
% 1.63/1.03 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ (suc @ X0))))
% 1.63/1.03 | (LE @ (f @ X0) @ (s @ (s @ (s @ 0))))
% 1.63/1.03 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0)))))),
% 1.63/1.03 inference('s_sup-', [status(thm)], [zip_derived_cl68, zip_derived_cl239])).
% 1.63/1.03 thf(zip_derived_cl248, plain,
% 1.63/1.03 (![X0 : $i]:
% 1.63/1.03 ( (LE @ (f @ X0) @ (s @ (s @ (s @ 0))))
% 1.63/1.03 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ (suc @ X0))))
% 1.63/1.03 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ X0))
% 1.63/1.03 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 1.63/1.03 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ X0)))
% 1.63/1.03 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0)))))),
% 1.63/1.03 inference('simplify', [status(thm)], [zip_derived_cl244])).
% 1.63/1.03 thf(zip_derived_cl211, plain,
% 1.63/1.03 (![X0 : $i]:
% 1.63/1.03 ( (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ (suc @ X0))))
% 1.63/1.03 | (LE @ (f @ X0) @ (s @ (s @ (s @ 0)))))),
% 1.63/1.03 inference('demod', [status(thm)], [zip_derived_cl15, zip_derived_cl207])).
% 1.63/1.03 thf(zip_derived_cl273, plain,
% 1.63/1.03 (![X0 : $i]:
% 1.63/1.03 (~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 1.63/1.03 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ X0)))
% 1.63/1.03 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 1.63/1.03 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ X0))
% 1.63/1.03 | (LE @ (f @ X0) @ (s @ (s @ (s @ 0)))))),
% 1.63/1.03 inference('clc', [status(thm)], [zip_derived_cl248, zip_derived_cl211])).
% 1.63/1.03 thf(zip_derived_cl208, plain,
% 1.63/1.03 (![X0 : $i]:
% 1.63/1.03 ( (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ X0)))
% 1.63/1.03 | (LE @ (f @ X0) @ (s @ (s @ (s @ 0)))))),
% 1.63/1.03 inference('demod', [status(thm)], [zip_derived_cl2, zip_derived_cl207])).
% 1.63/1.03 thf(zip_derived_cl274, plain,
% 1.63/1.03 (![X0 : $i]:
% 1.63/1.03 ( (LE @ (f @ X0) @ (s @ (s @ (s @ 0))))
% 1.63/1.03 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ X0))
% 1.63/1.03 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 1.63/1.03 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0)))))),
% 1.63/1.03 inference('clc', [status(thm)], [zip_derived_cl273, zip_derived_cl208])).
% 1.63/1.03 thf(zip_derived_cl209, plain,
% 1.63/1.03 (![X0 : $i]:
% 1.63/1.03 ( (E @ (s @ (s @ (s @ 0))) @ (f @ X0))
% 1.63/1.03 | (LE @ (f @ X0) @ (s @ (s @ (s @ 0)))))),
% 1.63/1.03 inference('demod', [status(thm)], [zip_derived_cl5, zip_derived_cl207])).
% 1.63/1.03 thf(zip_derived_cl275, plain,
% 1.63/1.03 (![X0 : $i]:
% 1.63/1.03 (~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 1.63/1.03 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 1.63/1.03 | (LE @ (f @ X0) @ (s @ (s @ (s @ 0)))))),
% 1.63/1.03 inference('clc', [status(thm)], [zip_derived_cl274, zip_derived_cl209])).
% 1.63/1.03 thf(zip_derived_cl212, plain,
% 1.63/1.03 (![X0 : $i]:
% 1.63/1.03 ( (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 1.63/1.03 | (LE @ (f @ X0) @ (s @ (s @ (s @ 0)))))),
% 1.63/1.03 inference('demod', [status(thm)], [zip_derived_cl31, zip_derived_cl207])).
% 1.63/1.03 thf(zip_derived_cl276, plain,
% 1.63/1.03 (![X0 : $i]:
% 1.63/1.03 ( (LE @ (f @ X0) @ (s @ (s @ (s @ 0))))
% 1.63/1.03 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0)))))),
% 1.63/1.03 inference('clc', [status(thm)], [zip_derived_cl275, zip_derived_cl212])).
% 1.63/1.03 thf(clause_67, axiom,
% 1.63/1.03 (( ~( E @ ( s @ ( s @ ( s @ 0 ) ) ) @ ( f @ ( suc @ ( suc @ A_2 ) ) ) ) ) |
% 1.63/1.03 ( ~( E @ ( s @ ( s @ ( s @ 0 ) ) ) @ ( f @ ( suc @ A_2 ) ) ) ) |
% 1.63/1.03 ( ~( E @ ( f @ A_2 ) @ ( f @ ( suc @ A_2 ) ) ) ) |
% 1.63/1.03 ( ~( E @ ( s @ ( s @ ( s @ 0 ) ) ) @ ( f @ A_2 ) ) ) |
% 1.63/1.03 ( E @ ( f @ A_2 ) @ ( f @ ( suc @ ( suc @ A_2 ) ) ) ))).
% 1.63/1.03 thf(zip_derived_cl22, plain,
% 1.63/1.03 (![X0 : $i]:
% 1.63/1.03 (~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ (suc @ X0))))
% 1.63/1.03 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ X0)))
% 1.63/1.03 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.63/1.03 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ X0))
% 1.63/1.03 | (E @ (f @ X0) @ (f @ (suc @ (suc @ X0)))))),
% 1.63/1.03 inference('cnf', [status(esa)], [clause_67])).
% 1.63/1.03 thf(zip_derived_cl44, plain,
% 1.63/1.03 (![X0 : $i]:
% 1.63/1.03 (~ (E @ (s @ (s @ (s @ 0))) @ (f @ X0))
% 1.63/1.03 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ X0)))
% 1.63/1.03 | (E @ (f @ X0) @ (f @ (suc @ X0))))),
% 1.63/1.03 inference('cnf', [status(esa)], [clause_76])).
% 1.63/1.03 thf(zip_derived_cl76, plain,
% 1.63/1.03 (![X0 : $i]:
% 1.63/1.03 ( (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 1.63/1.03 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ X0))
% 1.63/1.03 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ X0)))
% 1.63/1.03 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ (suc @ X0)))))),
% 1.63/1.03 inference('clc', [status(thm)], [zip_derived_cl22, zip_derived_cl44])).
% 1.63/1.03 thf(zip_derived_cl280, plain,
% 1.63/1.03 (![X0 : $i]:
% 1.63/1.03 ( (LE @ (f @ X0) @ (s @ (s @ (s @ 0))))
% 1.63/1.03 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ X0))
% 1.63/1.03 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ X0)))
% 1.63/1.03 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ (suc @ X0)))))),
% 1.63/1.03 inference('s_sup+', [status(thm)], [zip_derived_cl276, zip_derived_cl76])).
% 1.63/1.03 thf(zip_derived_cl209, plain,
% 1.63/1.03 (![X0 : $i]:
% 1.63/1.03 ( (E @ (s @ (s @ (s @ 0))) @ (f @ X0))
% 1.63/1.03 | (LE @ (f @ X0) @ (s @ (s @ (s @ 0)))))),
% 1.63/1.03 inference('demod', [status(thm)], [zip_derived_cl5, zip_derived_cl207])).
% 1.63/1.03 thf(zip_derived_cl308, plain,
% 1.63/1.03 (![X0 : $i]:
% 1.63/1.03 (~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ (suc @ X0))))
% 1.63/1.03 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ X0)))
% 1.63/1.03 | (LE @ (f @ X0) @ (s @ (s @ (s @ 0)))))),
% 1.63/1.03 inference('clc', [status(thm)], [zip_derived_cl280, zip_derived_cl209])).
% 1.63/1.03 thf(zip_derived_cl211, plain,
% 1.63/1.03 (![X0 : $i]:
% 1.63/1.03 ( (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ (suc @ X0))))
% 1.63/1.03 | (LE @ (f @ X0) @ (s @ (s @ (s @ 0)))))),
% 1.63/1.03 inference('demod', [status(thm)], [zip_derived_cl15, zip_derived_cl207])).
% 1.63/1.03 thf(zip_derived_cl309, plain,
% 1.63/1.03 (![X0 : $i]:
% 1.63/1.03 ( (LE @ (f @ X0) @ (s @ (s @ (s @ 0))))
% 1.63/1.03 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ X0))))),
% 1.63/1.03 inference('clc', [status(thm)], [zip_derived_cl308, zip_derived_cl211])).
% 1.63/1.03 thf(zip_derived_cl208, plain,
% 1.63/1.03 (![X0 : $i]:
% 1.63/1.03 ( (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ X0)))
% 1.63/1.03 | (LE @ (f @ X0) @ (s @ (s @ (s @ 0)))))),
% 1.63/1.03 inference('demod', [status(thm)], [zip_derived_cl2, zip_derived_cl207])).
% 1.63/1.03 thf(zip_derived_cl310, plain,
% 1.63/1.03 (![X0 : $i]: (LE @ (f @ X0) @ (s @ (s @ (s @ 0))))),
% 1.63/1.03 inference('clc', [status(thm)], [zip_derived_cl309, zip_derived_cl208])).
% 1.63/1.03 thf(zip_derived_cl313, plain,
% 1.63/1.03 (![X0 : $i]:
% 1.63/1.03 ( (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ (suc @ (suc @ X0))))))
% 1.63/1.03 | (LE @ (f @ X0) @ (s @ (s @ 0))))),
% 1.63/1.03 inference('demod', [status(thm)], [zip_derived_cl20, zip_derived_cl310])).
% 1.63/1.03 thf(clause_29, axiom,
% 1.63/1.03 (( ~( E @ ( s @ ( s @ 0 ) ) @ ( f @ ( suc @ A_3 ) ) ) ) |
% 1.63/1.03 ( ~( E @
% 1.63/1.03 ( s @ ( s @ 0 ) ) @
% 1.63/1.03 ( f @ ( suc @ ( suc @ ( suc @ ( suc @ A_3 ) ) ) ) ) ) ) |
% 1.63/1.03 ( ~( E @ ( f @ A_3 ) @ ( f @ ( suc @ ( suc @ A_3 ) ) ) ) ) |
% 1.63/1.03 ( ~( E @ ( s @ ( s @ 0 ) ) @ ( f @ ( suc @ ( suc @ A_3 ) ) ) ) ) |
% 1.63/1.03 ( ~( E @ ( f @ A_3 ) @ ( f @ ( suc @ A_3 ) ) ) ) |
% 1.63/1.03 ( ~( E @ ( s @ ( s @ 0 ) ) @ ( f @ ( suc @ ( suc @ ( suc @ A_3 ) ) ) ) ) ) |
% 1.63/1.03 ( ~( E @ ( f @ A_3 ) @ ( f @ ( suc @ ( suc @ ( suc @ A_3 ) ) ) ) ) ) |
% 1.63/1.03 ( ~( E @ ( s @ ( s @ 0 ) ) @ ( f @ A_3 ) ) ))).
% 1.63/1.03 thf(zip_derived_cl0, plain,
% 1.63/1.03 (![X0 : $i]:
% 1.63/1.03 (~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 1.63/1.03 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ (suc @ (suc @ X0))))))
% 1.63/1.03 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 1.63/1.03 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ X0))))
% 1.63/1.03 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.63/1.03 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 1.63/1.03 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 1.63/1.03 | ~ (E @ (s @ (s @ 0)) @ (f @ X0)))),
% 1.63/1.03 inference('cnf', [status(esa)], [clause_29])).
% 1.63/1.03 thf(zip_derived_cl334, plain,
% 1.63/1.03 (![X0 : $i]:
% 1.63/1.03 ( (LE @ (f @ X0) @ (s @ (s @ 0)))
% 1.63/1.03 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 1.63/1.03 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 1.63/1.03 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ X0))))
% 1.63/1.03 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.63/1.03 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 1.63/1.03 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 1.63/1.03 | ~ (E @ (s @ (s @ 0)) @ (f @ X0)))),
% 1.63/1.03 inference('s_sup-', [status(thm)], [zip_derived_cl313, zip_derived_cl0])).
% 1.63/1.03 thf(clause_41, axiom,
% 1.63/1.03 (( ~( LE @ ( f @ ( suc @ B_1 ) ) @ ( s @ ( s @ ( s @ 0 ) ) ) ) ) |
% 1.63/1.03 ( E @ ( s @ ( s @ 0 ) ) @ ( f @ ( suc @ B_1 ) ) ) |
% 1.63/1.03 ( LE @ ( f @ B_1 ) @ ( s @ ( s @ 0 ) ) ))).
% 1.63/1.03 thf(zip_derived_cl4, plain,
% 1.63/1.03 (![X0 : $i]:
% 1.63/1.03 (~ (LE @ (f @ (suc @ X0)) @ (s @ (s @ (s @ 0))))
% 1.63/1.03 | (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 1.63/1.03 | (LE @ (f @ X0) @ (s @ (s @ 0))))),
% 1.63/1.03 inference('cnf', [status(esa)], [clause_41])).
% 1.63/1.03 thf(zip_derived_cl310, plain,
% 1.63/1.03 (![X0 : $i]: (LE @ (f @ X0) @ (s @ (s @ (s @ 0))))),
% 1.63/1.03 inference('clc', [status(thm)], [zip_derived_cl309, zip_derived_cl208])).
% 1.63/1.03 thf(zip_derived_cl311, plain,
% 1.63/1.03 (![X0 : $i]:
% 1.63/1.03 ( (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 1.63/1.03 | (LE @ (f @ X0) @ (s @ (s @ 0))))),
% 1.63/1.03 inference('demod', [status(thm)], [zip_derived_cl4, zip_derived_cl310])).
% 1.63/1.03 thf(zip_derived_cl349, plain,
% 1.63/1.03 (![X0 : $i]:
% 1.63/1.03 (~ (E @ (s @ (s @ 0)) @ (f @ X0))
% 1.63/1.03 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 1.63/1.03 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 1.63/1.03 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.63/1.03 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ X0))))
% 1.63/1.03 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 1.63/1.03 | (LE @ (f @ X0) @ (s @ (s @ 0))))),
% 1.63/1.03 inference('clc', [status(thm)], [zip_derived_cl334, zip_derived_cl311])).
% 1.63/1.03 thf(clause_44, axiom,
% 1.63/1.03 (( ~( LE @ ( f @ B_1 ) @ ( s @ ( s @ ( s @ 0 ) ) ) ) ) |
% 1.63/1.03 ( E @ ( s @ ( s @ 0 ) ) @ ( f @ B_1 ) ) |
% 1.63/1.03 ( LE @ ( f @ B_1 ) @ ( s @ ( s @ 0 ) ) ))).
% 1.63/1.03 thf(zip_derived_cl30, plain,
% 1.63/1.03 (![X0 : $i]:
% 1.63/1.03 (~ (LE @ (f @ X0) @ (s @ (s @ (s @ 0))))
% 1.63/1.03 | (E @ (s @ (s @ 0)) @ (f @ X0))
% 1.63/1.03 | (LE @ (f @ X0) @ (s @ (s @ 0))))),
% 1.63/1.03 inference('cnf', [status(esa)], [clause_44])).
% 1.63/1.03 thf(zip_derived_cl310, plain,
% 1.63/1.03 (![X0 : $i]: (LE @ (f @ X0) @ (s @ (s @ (s @ 0))))),
% 1.63/1.03 inference('clc', [status(thm)], [zip_derived_cl309, zip_derived_cl208])).
% 1.63/1.03 thf(zip_derived_cl315, plain,
% 1.63/1.03 (![X0 : $i]:
% 1.63/1.03 ( (E @ (s @ (s @ 0)) @ (f @ X0)) | (LE @ (f @ X0) @ (s @ (s @ 0))))),
% 1.63/1.03 inference('demod', [status(thm)], [zip_derived_cl30, zip_derived_cl310])).
% 1.63/1.03 thf(zip_derived_cl350, plain,
% 1.63/1.03 (![X0 : $i]:
% 1.63/1.03 ( (LE @ (f @ X0) @ (s @ (s @ 0)))
% 1.63/1.03 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 1.63/1.03 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ X0))))
% 1.63/1.03 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.63/1.03 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 1.63/1.03 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ (suc @ X0))))))),
% 1.63/1.03 inference('clc', [status(thm)], [zip_derived_cl349, zip_derived_cl315])).
% 1.63/1.03 thf(clause_80, axiom,
% 1.63/1.03 (( ~( LE @ ( f @ ( suc @ ( suc @ B_1 ) ) ) @ ( s @ ( s @ ( s @ 0 ) ) ) ) ) |
% 1.63/1.03 ( E @ ( s @ ( s @ 0 ) ) @ ( f @ ( suc @ ( suc @ B_1 ) ) ) ) |
% 1.63/1.03 ( LE @ ( f @ B_1 ) @ ( s @ ( s @ 0 ) ) ))).
% 1.63/1.03 thf(zip_derived_cl28, plain,
% 1.63/1.03 (![X0 : $i]:
% 1.63/1.03 (~ (LE @ (f @ (suc @ (suc @ X0))) @ (s @ (s @ (s @ 0))))
% 1.63/1.03 | (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ X0))))
% 1.63/1.03 | (LE @ (f @ X0) @ (s @ (s @ 0))))),
% 1.63/1.03 inference('cnf', [status(esa)], [clause_80])).
% 1.63/1.03 thf(zip_derived_cl310, plain,
% 1.63/1.03 (![X0 : $i]: (LE @ (f @ X0) @ (s @ (s @ (s @ 0))))),
% 1.63/1.03 inference('clc', [status(thm)], [zip_derived_cl309, zip_derived_cl208])).
% 1.63/1.03 thf(zip_derived_cl314, plain,
% 1.63/1.03 (![X0 : $i]:
% 1.63/1.03 ( (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ X0))))
% 1.63/1.03 | (LE @ (f @ X0) @ (s @ (s @ 0))))),
% 1.63/1.03 inference('demod', [status(thm)], [zip_derived_cl28, zip_derived_cl310])).
% 1.63/1.03 thf(zip_derived_cl351, plain,
% 1.63/1.03 (![X0 : $i]:
% 1.63/1.03 (~ (E @ (f @ X0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 1.63/1.03 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 1.63/1.03 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.63/1.03 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 1.63/1.03 | (LE @ (f @ X0) @ (s @ (s @ 0))))),
% 1.63/1.03 inference('clc', [status(thm)], [zip_derived_cl350, zip_derived_cl314])).
% 1.63/1.03 thf(clause_47, axiom,
% 1.63/1.03 (( ~( LE @
% 1.63/1.03 ( f @ ( suc @ ( suc @ ( suc @ B_1 ) ) ) ) @ ( s @ ( s @ ( s @ 0 ) ) ) ) ) |
% 1.63/1.03 ( E @ ( s @ ( s @ 0 ) ) @ ( f @ ( suc @ ( suc @ ( suc @ B_1 ) ) ) ) ) |
% 1.63/1.03 ( LE @ ( f @ B_1 ) @ ( s @ ( s @ 0 ) ) ))).
% 1.63/1.03 thf(zip_derived_cl13, plain,
% 1.63/1.03 (![X0 : $i]:
% 1.63/1.03 (~ (LE @ (f @ (suc @ (suc @ (suc @ X0)))) @ (s @ (s @ (s @ 0))))
% 1.63/1.03 | (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 1.63/1.03 | (LE @ (f @ X0) @ (s @ (s @ 0))))),
% 1.63/1.03 inference('cnf', [status(esa)], [clause_47])).
% 1.63/1.03 thf(zip_derived_cl310, plain,
% 1.63/1.03 (![X0 : $i]: (LE @ (f @ X0) @ (s @ (s @ (s @ 0))))),
% 1.63/1.03 inference('clc', [status(thm)], [zip_derived_cl309, zip_derived_cl208])).
% 1.63/1.03 thf(zip_derived_cl312, plain,
% 1.63/1.03 (![X0 : $i]:
% 1.63/1.03 ( (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 1.63/1.03 | (LE @ (f @ X0) @ (s @ (s @ 0))))),
% 1.63/1.03 inference('demod', [status(thm)], [zip_derived_cl13, zip_derived_cl310])).
% 1.63/1.03 thf(zip_derived_cl352, plain,
% 1.63/1.03 (![X0 : $i]:
% 1.63/1.03 ( (LE @ (f @ X0) @ (s @ (s @ 0)))
% 1.63/1.03 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 1.63/1.03 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.63/1.03 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ (suc @ X0))))))),
% 1.63/1.03 inference('clc', [status(thm)], [zip_derived_cl351, zip_derived_cl312])).
% 1.63/1.03 thf(clause_14, axiom,
% 1.63/1.03 (( ~( E @ ( s @ ( s @ 0 ) ) @ ( f @ ( suc @ A_3 ) ) ) ) |
% 1.63/1.03 ( ~( E @ ( f @ A_3 ) @ ( f @ ( suc @ ( suc @ A_3 ) ) ) ) ) |
% 1.63/1.03 ( ~( E @ ( s @ ( s @ 0 ) ) @ ( f @ ( suc @ ( suc @ A_3 ) ) ) ) ) |
% 1.63/1.03 ( ~( E @ ( f @ A_3 ) @ ( f @ ( suc @ A_3 ) ) ) ) |
% 1.63/1.03 ( ~( E @ ( s @ ( s @ 0 ) ) @ ( f @ ( suc @ ( suc @ ( suc @ A_3 ) ) ) ) ) ) |
% 1.63/1.03 ( ~( E @ ( s @ ( s @ 0 ) ) @ ( f @ A_3 ) ) ) |
% 1.63/1.03 ( E @ ( f @ A_3 ) @ ( f @ ( suc @ ( suc @ ( suc @ A_3 ) ) ) ) ))).
% 1.63/1.03 thf(zip_derived_cl46, plain,
% 1.63/1.03 (![X0 : $i]:
% 1.63/1.03 (~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 1.63/1.03 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 1.63/1.03 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ X0))))
% 1.63/1.03 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.63/1.03 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 1.63/1.03 | ~ (E @ (s @ (s @ 0)) @ (f @ X0))
% 1.63/1.03 | (E @ (f @ X0) @ (f @ (suc @ (suc @ (suc @ X0))))))),
% 1.63/1.03 inference('cnf', [status(esa)], [clause_14])).
% 1.63/1.03 thf(clause_31, axiom,
% 1.63/1.03 (( ~( E @ ( s @ ( s @ 0 ) ) @ ( f @ ( suc @ ( suc @ A_3 ) ) ) ) ) |
% 1.63/1.03 ( ~( E @ ( s @ ( s @ 0 ) ) @ ( f @ ( suc @ A_3 ) ) ) ) |
% 1.63/1.03 ( ~( E @ ( f @ A_3 ) @ ( f @ ( suc @ A_3 ) ) ) ) |
% 1.63/1.03 ( ~( E @ ( s @ ( s @ 0 ) ) @ ( f @ A_3 ) ) ) |
% 1.63/1.03 ( E @ ( f @ A_3 ) @ ( f @ ( suc @ ( suc @ A_3 ) ) ) ))).
% 1.63/1.03 thf(zip_derived_cl17, plain,
% 1.63/1.03 (![X0 : $i]:
% 1.63/1.03 (~ (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ X0))))
% 1.63/1.03 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 1.63/1.03 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.63/1.03 | ~ (E @ (s @ (s @ 0)) @ (f @ X0))
% 1.63/1.03 | (E @ (f @ X0) @ (f @ (suc @ (suc @ X0)))))),
% 1.63/1.03 inference('cnf', [status(esa)], [clause_31])).
% 1.63/1.03 thf(clause_9, axiom,
% 1.63/1.03 (( ~( E @ ( s @ ( s @ 0 ) ) @ ( f @ A_3 ) ) ) |
% 1.63/1.03 ( ~( E @ ( s @ ( s @ 0 ) ) @ ( f @ ( suc @ A_3 ) ) ) ) |
% 1.63/1.03 ( E @ ( f @ A_3 ) @ ( f @ ( suc @ A_3 ) ) ))).
% 1.63/1.03 thf(zip_derived_cl27, plain,
% 1.63/1.03 (![X0 : $i]:
% 1.63/1.03 (~ (E @ (s @ (s @ 0)) @ (f @ X0))
% 1.63/1.03 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 1.63/1.03 | (E @ (f @ X0) @ (f @ (suc @ X0))))),
% 1.63/1.03 inference('cnf', [status(esa)], [clause_9])).
% 1.63/1.03 thf(zip_derived_cl57, plain,
% 1.63/1.03 (![X0 : $i]:
% 1.63/1.03 ( (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 1.63/1.03 | ~ (E @ (s @ (s @ 0)) @ (f @ X0))
% 1.63/1.03 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 1.63/1.03 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ X0)))))),
% 1.63/1.03 inference('clc', [status(thm)], [zip_derived_cl17, zip_derived_cl27])).
% 1.63/1.03 thf(zip_derived_cl134, plain,
% 1.63/1.03 (![X0 : $i]:
% 1.63/1.03 ( (E @ (f @ X0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 1.63/1.03 | ~ (E @ (s @ (s @ 0)) @ (f @ X0))
% 1.63/1.03 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 1.63/1.03 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.63/1.03 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ X0))))
% 1.63/1.03 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0))))),
% 1.63/1.03 inference('clc', [status(thm)], [zip_derived_cl46, zip_derived_cl57])).
% 1.63/1.03 thf(zip_derived_cl27, plain,
% 1.63/1.03 (![X0 : $i]:
% 1.63/1.03 (~ (E @ (s @ (s @ 0)) @ (f @ X0))
% 1.63/1.03 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 1.63/1.03 | (E @ (f @ X0) @ (f @ (suc @ X0))))),
% 1.63/1.03 inference('cnf', [status(esa)], [clause_9])).
% 1.63/1.03 thf(zip_derived_cl135, plain,
% 1.63/1.03 (![X0 : $i]:
% 1.63/1.03 (~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 1.63/1.03 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ X0))))
% 1.63/1.03 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 1.63/1.03 | ~ (E @ (s @ (s @ 0)) @ (f @ X0))
% 1.63/1.03 | (E @ (f @ X0) @ (f @ (suc @ (suc @ (suc @ X0))))))),
% 1.63/1.03 inference('clc', [status(thm)], [zip_derived_cl134, zip_derived_cl27])).
% 1.63/1.03 thf(zip_derived_cl356, plain,
% 1.63/1.03 (![X0 : $i]:
% 1.63/1.03 (~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.63/1.03 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 1.63/1.03 | (LE @ (f @ X0) @ (s @ (s @ 0)))
% 1.63/1.03 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 1.63/1.03 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ X0))))
% 1.63/1.03 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 1.63/1.03 | ~ (E @ (s @ (s @ 0)) @ (f @ X0)))),
% 1.63/1.03 inference('s_sup+', [status(thm)], [zip_derived_cl352, zip_derived_cl135])).
% 1.63/1.03 thf(zip_derived_cl27, plain,
% 1.63/1.03 (![X0 : $i]:
% 1.63/1.03 (~ (E @ (s @ (s @ 0)) @ (f @ X0))
% 1.63/1.03 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 1.63/1.03 | (E @ (f @ X0) @ (f @ (suc @ X0))))),
% 1.63/1.03 inference('cnf', [status(esa)], [clause_9])).
% 1.63/1.03 thf(zip_derived_cl372, plain,
% 1.63/1.03 (![X0 : $i]:
% 1.63/1.03 (~ (E @ (s @ (s @ 0)) @ (f @ X0))
% 1.63/1.03 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 1.63/1.03 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ X0))))
% 1.63/1.03 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 1.63/1.03 | (LE @ (f @ X0) @ (s @ (s @ 0)))
% 1.63/1.03 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0)))))),
% 1.63/1.03 inference('clc', [status(thm)], [zip_derived_cl356, zip_derived_cl27])).
% 1.63/1.03 thf(zip_derived_cl315, plain,
% 1.63/1.03 (![X0 : $i]:
% 1.63/1.03 ( (E @ (s @ (s @ 0)) @ (f @ X0)) | (LE @ (f @ X0) @ (s @ (s @ 0))))),
% 1.63/1.03 inference('demod', [status(thm)], [zip_derived_cl30, zip_derived_cl310])).
% 1.63/1.03 thf(zip_derived_cl373, plain,
% 1.63/1.03 (![X0 : $i]:
% 1.63/1.03 (~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 1.63/1.03 | (LE @ (f @ X0) @ (s @ (s @ 0)))
% 1.63/1.03 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 1.63/1.03 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ X0))))
% 1.63/1.03 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ (suc @ X0))))))),
% 1.63/1.03 inference('clc', [status(thm)], [zip_derived_cl372, zip_derived_cl315])).
% 1.63/1.03 thf(zip_derived_cl311, plain,
% 1.63/1.03 (![X0 : $i]:
% 1.63/1.03 ( (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 1.63/1.03 | (LE @ (f @ X0) @ (s @ (s @ 0))))),
% 1.63/1.03 inference('demod', [status(thm)], [zip_derived_cl4, zip_derived_cl310])).
% 1.63/1.03 thf(zip_derived_cl374, plain,
% 1.63/1.03 (![X0 : $i]:
% 1.63/1.03 (~ (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 1.63/1.03 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ X0))))
% 1.63/1.03 | (LE @ (f @ X0) @ (s @ (s @ 0)))
% 1.63/1.03 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0)))))),
% 1.63/1.03 inference('clc', [status(thm)], [zip_derived_cl373, zip_derived_cl311])).
% 1.63/1.03 thf(zip_derived_cl312, plain,
% 1.63/1.03 (![X0 : $i]:
% 1.63/1.03 ( (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 1.63/1.03 | (LE @ (f @ X0) @ (s @ (s @ 0))))),
% 1.63/1.03 inference('demod', [status(thm)], [zip_derived_cl13, zip_derived_cl310])).
% 1.63/1.03 thf(zip_derived_cl375, plain,
% 1.63/1.03 (![X0 : $i]:
% 1.63/1.03 (~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 1.63/1.03 | (LE @ (f @ X0) @ (s @ (s @ 0)))
% 1.63/1.03 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ X0)))))),
% 1.63/1.03 inference('clc', [status(thm)], [zip_derived_cl374, zip_derived_cl312])).
% 1.63/1.03 thf(zip_derived_cl314, plain,
% 1.63/1.03 (![X0 : $i]:
% 1.63/1.03 ( (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ X0))))
% 1.63/1.03 | (LE @ (f @ X0) @ (s @ (s @ 0))))),
% 1.63/1.03 inference('demod', [status(thm)], [zip_derived_cl28, zip_derived_cl310])).
% 1.63/1.03 thf(zip_derived_cl376, plain,
% 1.63/1.03 (![X0 : $i]:
% 1.63/1.03 ( (LE @ (f @ X0) @ (s @ (s @ 0)))
% 1.63/1.03 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0)))))),
% 1.63/1.03 inference('clc', [status(thm)], [zip_derived_cl375, zip_derived_cl314])).
% 1.63/1.03 thf(zip_derived_cl57, plain,
% 1.63/1.03 (![X0 : $i]:
% 1.63/1.03 ( (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 1.63/1.03 | ~ (E @ (s @ (s @ 0)) @ (f @ X0))
% 1.63/1.03 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 1.63/1.03 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ X0)))))),
% 1.63/1.03 inference('clc', [status(thm)], [zip_derived_cl17, zip_derived_cl27])).
% 1.63/1.03 thf(zip_derived_cl379, plain,
% 1.63/1.03 (![X0 : $i]:
% 1.63/1.03 ( (LE @ (f @ X0) @ (s @ (s @ 0)))
% 1.63/1.03 | ~ (E @ (s @ (s @ 0)) @ (f @ X0))
% 1.63/1.03 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 1.63/1.03 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ X0)))))),
% 1.63/1.03 inference('s_sup+', [status(thm)], [zip_derived_cl376, zip_derived_cl57])).
% 1.63/1.03 thf(zip_derived_cl315, plain,
% 1.63/1.03 (![X0 : $i]:
% 1.63/1.03 ( (E @ (s @ (s @ 0)) @ (f @ X0)) | (LE @ (f @ X0) @ (s @ (s @ 0))))),
% 1.63/1.03 inference('demod', [status(thm)], [zip_derived_cl30, zip_derived_cl310])).
% 1.63/1.03 thf(zip_derived_cl394, plain,
% 1.63/1.03 (![X0 : $i]:
% 1.63/1.03 (~ (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ X0))))
% 1.63/1.03 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 1.63/1.03 | (LE @ (f @ X0) @ (s @ (s @ 0))))),
% 1.63/1.03 inference('clc', [status(thm)], [zip_derived_cl379, zip_derived_cl315])).
% 1.63/1.03 thf(zip_derived_cl314, plain,
% 1.63/1.03 (![X0 : $i]:
% 1.63/1.03 ( (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ X0))))
% 1.63/1.03 | (LE @ (f @ X0) @ (s @ (s @ 0))))),
% 1.63/1.03 inference('demod', [status(thm)], [zip_derived_cl28, zip_derived_cl310])).
% 1.63/1.03 thf(zip_derived_cl395, plain,
% 1.63/1.03 (![X0 : $i]:
% 1.63/1.03 ( (LE @ (f @ X0) @ (s @ (s @ 0)))
% 1.63/1.03 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0))))),
% 1.63/1.03 inference('clc', [status(thm)], [zip_derived_cl394, zip_derived_cl314])).
% 1.63/1.03 thf(zip_derived_cl311, plain,
% 1.63/1.03 (![X0 : $i]:
% 1.63/1.03 ( (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 1.63/1.03 | (LE @ (f @ X0) @ (s @ (s @ 0))))),
% 1.63/1.03 inference('demod', [status(thm)], [zip_derived_cl4, zip_derived_cl310])).
% 1.63/1.03 thf(zip_derived_cl396, plain, (![X0 : $i]: (LE @ (f @ X0) @ (s @ (s @ 0)))),
% 1.63/1.03 inference('clc', [status(thm)], [zip_derived_cl395, zip_derived_cl311])).
% 1.63/1.03 thf(zip_derived_cl399, plain,
% 1.63/1.03 (![X0 : $i]:
% 1.63/1.03 ( (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ (suc @ X0))))))
% 1.63/1.03 | (LE @ (f @ X0) @ (s @ 0)))),
% 1.63/1.03 inference('demod', [status(thm)], [zip_derived_cl38, zip_derived_cl396])).
% 1.63/1.03 thf(clause_10, axiom,
% 1.63/1.03 (( ~( E @ ( f @ A_4 ) @ ( f @ ( suc @ A_4 ) ) ) ) |
% 1.63/1.03 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ ( suc @ A_4 ) ) ) ) ) |
% 1.63/1.03 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ ( suc @ ( suc @ A_4 ) ) ) ) ) ) |
% 1.63/1.03 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ A_4 ) ) ) ) |
% 1.63/1.03 ( ~( E @ ( f @ A_4 ) @ ( f @ ( suc @ ( suc @ A_4 ) ) ) ) ) |
% 1.63/1.03 ( ~( E @ ( s @ 0 ) @ ( f @ A_4 ) ) ) |
% 1.63/1.03 ( E @ ( f @ A_4 ) @ ( f @ ( suc @ ( suc @ ( suc @ A_4 ) ) ) ) ))).
% 1.63/1.03 thf(zip_derived_cl24, plain,
% 1.63/1.03 (![X0 : $i]:
% 1.63/1.03 (~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.63/1.03 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 1.63/1.03 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 1.63/1.03 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 1.63/1.03 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 1.63/1.03 | ~ (E @ (s @ 0) @ (f @ X0))
% 1.63/1.03 | (E @ (f @ X0) @ (f @ (suc @ (suc @ (suc @ X0))))))),
% 1.63/1.03 inference('cnf', [status(esa)], [clause_10])).
% 1.63/1.03 thf(clause_8, axiom,
% 1.63/1.03 (( ~( E @ ( s @ 0 ) @ ( f @ A_4 ) ) ) |
% 1.63/1.03 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ A_4 ) ) ) ) |
% 1.63/1.03 ( E @ ( f @ A_4 ) @ ( f @ ( suc @ A_4 ) ) ))).
% 1.63/1.03 thf(zip_derived_cl21, plain,
% 1.63/1.03 (![X0 : $i]:
% 1.63/1.03 (~ (E @ (s @ 0) @ (f @ X0))
% 1.63/1.03 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 1.63/1.03 | (E @ (f @ X0) @ (f @ (suc @ X0))))),
% 1.63/1.03 inference('cnf', [status(esa)], [clause_8])).
% 1.63/1.03 thf(zip_derived_cl127, plain,
% 1.63/1.03 (![X0 : $i]:
% 1.63/1.03 ( (E @ (f @ X0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 1.63/1.03 | ~ (E @ (s @ 0) @ (f @ X0))
% 1.63/1.03 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 1.63/1.03 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 1.63/1.03 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 1.63/1.03 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0)))))),
% 1.63/1.03 inference('clc', [status(thm)], [zip_derived_cl24, zip_derived_cl21])).
% 1.63/1.03 thf(clause_15, axiom,
% 1.63/1.03 (( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ ( suc @ A_4 ) ) ) ) ) |
% 1.63/1.03 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ A_4 ) ) ) ) |
% 1.63/1.03 ( ~( E @ ( f @ A_4 ) @ ( f @ ( suc @ A_4 ) ) ) ) |
% 1.63/1.03 ( ~( E @ ( s @ 0 ) @ ( f @ A_4 ) ) ) |
% 1.63/1.03 ( E @ ( f @ A_4 ) @ ( f @ ( suc @ ( suc @ A_4 ) ) ) ))).
% 1.63/1.03 thf(zip_derived_cl14, plain,
% 1.63/1.03 (![X0 : $i]:
% 1.63/1.03 (~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 1.63/1.03 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 1.63/1.03 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.63/1.03 | ~ (E @ (s @ 0) @ (f @ X0))
% 1.63/1.03 | (E @ (f @ X0) @ (f @ (suc @ (suc @ X0)))))),
% 1.63/1.03 inference('cnf', [status(esa)], [clause_15])).
% 1.63/1.03 thf(zip_derived_cl21, plain,
% 1.63/1.03 (![X0 : $i]:
% 1.63/1.03 (~ (E @ (s @ 0) @ (f @ X0))
% 1.63/1.03 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 1.63/1.03 | (E @ (f @ X0) @ (f @ (suc @ X0))))),
% 1.63/1.03 inference('cnf', [status(esa)], [clause_8])).
% 1.63/1.03 thf(zip_derived_cl56, plain,
% 1.63/1.03 (![X0 : $i]:
% 1.63/1.03 ( (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 1.63/1.03 | ~ (E @ (s @ 0) @ (f @ X0))
% 1.63/1.03 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 1.63/1.03 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0)))))),
% 1.63/1.03 inference('clc', [status(thm)], [zip_derived_cl14, zip_derived_cl21])).
% 1.63/1.03 thf(zip_derived_cl128, plain,
% 1.63/1.03 (![X0 : $i]:
% 1.63/1.03 (~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 1.63/1.03 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 1.63/1.03 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 1.63/1.03 | ~ (E @ (s @ 0) @ (f @ X0))
% 1.63/1.03 | (E @ (f @ X0) @ (f @ (suc @ (suc @ (suc @ X0))))))),
% 1.63/1.03 inference('clc', [status(thm)], [zip_derived_cl127, zip_derived_cl56])).
% 1.63/1.04 thf(clause_27, axiom,
% 1.63/1.04 (( ~( E @ ( f @ A_4 ) @ ( f @ ( suc @ A_4 ) ) ) ) |
% 1.63/1.04 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ ( suc @ A_4 ) ) ) ) ) |
% 1.63/1.04 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ ( suc @ ( suc @ A_4 ) ) ) ) ) ) |
% 1.63/1.04 ( ~( E @ ( f @ A_4 ) @ ( f @ ( suc @ ( suc @ ( suc @ A_4 ) ) ) ) ) ) |
% 1.63/1.04 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ A_4 ) ) ) ) |
% 1.63/1.04 ( ~( E @ ( f @ A_4 ) @ ( f @ ( suc @ ( suc @ A_4 ) ) ) ) ) |
% 1.63/1.04 ( ~( E @ ( s @ 0 ) @ ( f @ A_4 ) ) ) |
% 1.63/1.04 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ ( suc @ ( suc @ ( suc @ A_4 ) ) ) ) ) ) ))).
% 1.63/1.04 thf(zip_derived_cl8, plain,
% 1.63/1.04 (![X0 : $i]:
% 1.63/1.04 (~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.63/1.04 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 1.63/1.04 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 1.63/1.04 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 1.63/1.04 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 1.63/1.04 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 1.63/1.04 | ~ (E @ (s @ 0) @ (f @ X0))
% 1.63/1.04 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ (suc @ X0)))))))),
% 1.63/1.04 inference('cnf', [status(esa)], [clause_27])).
% 1.63/1.04 thf(zip_derived_cl21, plain,
% 1.63/1.04 (![X0 : $i]:
% 1.63/1.04 (~ (E @ (s @ 0) @ (f @ X0))
% 1.63/1.04 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 1.63/1.04 | (E @ (f @ X0) @ (f @ (suc @ X0))))),
% 1.63/1.04 inference('cnf', [status(esa)], [clause_8])).
% 1.63/1.04 thf(zip_derived_cl48, plain,
% 1.63/1.04 (![X0 : $i]:
% 1.63/1.04 (~ (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ (suc @ X0))))))
% 1.63/1.04 | ~ (E @ (s @ 0) @ (f @ X0))
% 1.63/1.04 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 1.63/1.04 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 1.63/1.04 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 1.63/1.04 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 1.63/1.04 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0)))))),
% 1.63/1.04 inference('clc', [status(thm)], [zip_derived_cl8, zip_derived_cl21])).
% 1.63/1.04 thf(zip_derived_cl129, plain,
% 1.63/1.04 (![X0 : $i]:
% 1.63/1.04 (~ (E @ (s @ 0) @ (f @ X0))
% 1.63/1.04 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 1.63/1.04 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 1.63/1.04 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 1.63/1.04 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ (suc @ X0))))))
% 1.63/1.04 | ~ (E @ (s @ 0) @ (f @ X0))
% 1.63/1.04 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 1.63/1.04 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 1.63/1.04 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 1.63/1.04 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0)))))),
% 1.63/1.04 inference('s_sup-', [status(thm)], [zip_derived_cl128, zip_derived_cl48])).
% 1.63/1.04 thf(zip_derived_cl130, plain,
% 1.63/1.04 (![X0 : $i]:
% 1.63/1.04 (~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 1.63/1.04 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ (suc @ X0))))))
% 1.63/1.04 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 1.63/1.04 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 1.63/1.04 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 1.63/1.04 | ~ (E @ (s @ 0) @ (f @ X0)))),
% 1.63/1.04 inference('simplify', [status(thm)], [zip_derived_cl129])).
% 1.63/1.04 thf(zip_derived_cl56, plain,
% 1.63/1.04 (![X0 : $i]:
% 1.63/1.04 ( (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 1.63/1.04 | ~ (E @ (s @ 0) @ (f @ X0))
% 1.63/1.04 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 1.63/1.04 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0)))))),
% 1.63/1.04 inference('clc', [status(thm)], [zip_derived_cl14, zip_derived_cl21])).
% 1.63/1.04 thf(zip_derived_cl131, plain,
% 1.63/1.04 (![X0 : $i]:
% 1.63/1.04 (~ (E @ (s @ 0) @ (f @ X0))
% 1.63/1.04 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 1.63/1.04 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 1.63/1.04 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 1.63/1.04 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ (suc @ X0)))))))),
% 1.63/1.04 inference('clc', [status(thm)], [zip_derived_cl130, zip_derived_cl56])).
% 1.63/1.04 thf(zip_derived_cl420, plain,
% 1.63/1.04 (![X0 : $i]:
% 1.63/1.04 ( (LE @ (f @ X0) @ (s @ 0))
% 1.63/1.04 | ~ (E @ (s @ 0) @ (f @ X0))
% 1.63/1.04 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 1.63/1.04 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 1.63/1.04 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0)))))),
% 1.63/1.04 inference('s_sup-', [status(thm)], [zip_derived_cl399, zip_derived_cl131])).
% 1.63/1.04 thf(clause_22, axiom,
% 1.63/1.04 (( ~( LE @ ( f @ B_2 ) @ ( s @ ( s @ 0 ) ) ) ) |
% 1.63/1.04 ( E @ ( s @ 0 ) @ ( f @ B_2 ) ) | ( LE @ ( f @ B_2 ) @ ( s @ 0 ) ))).
% 1.63/1.04 thf(zip_derived_cl29, plain,
% 1.63/1.04 (![X0 : $i]:
% 1.63/1.04 (~ (LE @ (f @ X0) @ (s @ (s @ 0)))
% 1.63/1.04 | (E @ (s @ 0) @ (f @ X0))
% 1.63/1.04 | (LE @ (f @ X0) @ (s @ 0)))),
% 1.63/1.04 inference('cnf', [status(esa)], [clause_22])).
% 1.63/1.04 thf(zip_derived_cl396, plain, (![X0 : $i]: (LE @ (f @ X0) @ (s @ (s @ 0)))),
% 1.63/1.04 inference('clc', [status(thm)], [zip_derived_cl395, zip_derived_cl311])).
% 1.63/1.04 thf(zip_derived_cl397, plain,
% 1.63/1.04 (![X0 : $i]: ( (E @ (s @ 0) @ (f @ X0)) | (LE @ (f @ X0) @ (s @ 0)))),
% 1.63/1.04 inference('demod', [status(thm)], [zip_derived_cl29, zip_derived_cl396])).
% 1.63/1.04 thf(zip_derived_cl421, plain,
% 1.63/1.04 (![X0 : $i]:
% 1.63/1.04 (~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 1.63/1.04 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 1.63/1.04 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 1.63/1.04 | (LE @ (f @ X0) @ (s @ 0)))),
% 1.63/1.04 inference('clc', [status(thm)], [zip_derived_cl420, zip_derived_cl397])).
% 1.63/1.04 thf(clause_57, axiom,
% 1.63/1.04 (( ~( LE @ ( f @ ( suc @ ( suc @ B_2 ) ) ) @ ( s @ ( s @ 0 ) ) ) ) |
% 1.63/1.04 ( E @ ( s @ 0 ) @ ( f @ ( suc @ ( suc @ B_2 ) ) ) ) |
% 1.63/1.04 ( LE @ ( f @ B_2 ) @ ( s @ 0 ) ))).
% 1.63/1.04 thf(zip_derived_cl36, plain,
% 1.63/1.04 (![X0 : $i]:
% 1.63/1.04 (~ (LE @ (f @ (suc @ (suc @ X0))) @ (s @ (s @ 0)))
% 1.63/1.04 | (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 1.63/1.04 | (LE @ (f @ X0) @ (s @ 0)))),
% 1.63/1.04 inference('cnf', [status(esa)], [clause_57])).
% 1.63/1.04 thf(zip_derived_cl396, plain, (![X0 : $i]: (LE @ (f @ X0) @ (s @ (s @ 0)))),
% 1.63/1.04 inference('clc', [status(thm)], [zip_derived_cl395, zip_derived_cl311])).
% 1.63/1.04 thf(zip_derived_cl398, plain,
% 1.63/1.04 (![X0 : $i]:
% 1.63/1.04 ( (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 1.63/1.04 | (LE @ (f @ X0) @ (s @ 0)))),
% 1.63/1.04 inference('demod', [status(thm)], [zip_derived_cl36, zip_derived_cl396])).
% 1.63/1.04 thf(zip_derived_cl422, plain,
% 1.63/1.04 (![X0 : $i]:
% 1.63/1.04 ( (LE @ (f @ X0) @ (s @ 0))
% 1.63/1.04 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 1.63/1.04 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ X0))))))),
% 1.63/1.04 inference('clc', [status(thm)], [zip_derived_cl421, zip_derived_cl398])).
% 1.63/1.04 thf(clause_50, axiom,
% 1.63/1.04 (( ~( LE @ ( f @ ( suc @ B_2 ) ) @ ( s @ ( s @ 0 ) ) ) ) |
% 1.63/1.04 ( E @ ( s @ 0 ) @ ( f @ ( suc @ B_2 ) ) ) |
% 1.63/1.04 ( LE @ ( f @ B_2 ) @ ( s @ 0 ) ))).
% 1.63/1.04 thf(zip_derived_cl41, plain,
% 1.63/1.04 (![X0 : $i]:
% 1.63/1.04 (~ (LE @ (f @ (suc @ X0)) @ (s @ (s @ 0)))
% 1.63/1.04 | (E @ (s @ 0) @ (f @ (suc @ X0)))
% 1.63/1.04 | (LE @ (f @ X0) @ (s @ 0)))),
% 1.63/1.04 inference('cnf', [status(esa)], [clause_50])).
% 1.63/1.04 thf(zip_derived_cl396, plain, (![X0 : $i]: (LE @ (f @ X0) @ (s @ (s @ 0)))),
% 1.63/1.04 inference('clc', [status(thm)], [zip_derived_cl395, zip_derived_cl311])).
% 1.63/1.04 thf(zip_derived_cl401, plain,
% 1.63/1.04 (![X0 : $i]:
% 1.63/1.04 ( (E @ (s @ 0) @ (f @ (suc @ X0))) | (LE @ (f @ X0) @ (s @ 0)))),
% 1.63/1.04 inference('demod', [status(thm)], [zip_derived_cl41, zip_derived_cl396])).
% 1.63/1.04 thf(zip_derived_cl423, plain,
% 1.63/1.04 (![X0 : $i]:
% 1.63/1.04 (~ (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 1.63/1.04 | (LE @ (f @ X0) @ (s @ 0)))),
% 1.63/1.04 inference('clc', [status(thm)], [zip_derived_cl422, zip_derived_cl401])).
% 1.63/1.04 thf(clause_32, axiom,
% 1.63/1.04 (( ~( LE @ ( f @ ( suc @ ( suc @ ( suc @ B_2 ) ) ) ) @ ( s @ ( s @ 0 ) ) ) ) |
% 1.63/1.04 ( E @ ( s @ 0 ) @ ( f @ ( suc @ ( suc @ ( suc @ B_2 ) ) ) ) ) |
% 1.63/1.04 ( LE @ ( f @ B_2 ) @ ( s @ 0 ) ))).
% 1.63/1.04 thf(zip_derived_cl40, plain,
% 1.63/1.04 (![X0 : $i]:
% 1.63/1.04 (~ (LE @ (f @ (suc @ (suc @ (suc @ X0)))) @ (s @ (s @ 0)))
% 1.63/1.04 | (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 1.63/1.04 | (LE @ (f @ X0) @ (s @ 0)))),
% 1.63/1.04 inference('cnf', [status(esa)], [clause_32])).
% 1.63/1.04 thf(zip_derived_cl396, plain, (![X0 : $i]: (LE @ (f @ X0) @ (s @ (s @ 0)))),
% 1.63/1.04 inference('clc', [status(thm)], [zip_derived_cl395, zip_derived_cl311])).
% 1.63/1.04 thf(zip_derived_cl400, plain,
% 1.63/1.04 (![X0 : $i]:
% 1.63/1.04 ( (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 1.63/1.04 | (LE @ (f @ X0) @ (s @ 0)))),
% 1.63/1.04 inference('demod', [status(thm)], [zip_derived_cl40, zip_derived_cl396])).
% 1.63/1.04 thf(zip_derived_cl424, plain, (![X0 : $i]: (LE @ (f @ X0) @ (s @ 0))),
% 1.63/1.04 inference('clc', [status(thm)], [zip_derived_cl423, zip_derived_cl400])).
% 1.63/1.04 thf(zip_derived_cl426, plain,
% 1.63/1.04 (![X0 : $i]:
% 1.63/1.04 ( (E @ 0 @ (f @ (suc @ (suc @ (suc @ (suc @ X0))))))
% 1.63/1.04 | (LE @ (f @ X0) @ 0))),
% 1.63/1.04 inference('demod', [status(thm)], [zip_derived_cl16, zip_derived_cl424])).
% 1.63/1.04 thf(clause_72, axiom,
% 1.63/1.04 (( ~( E @ 0 @ ( f @ A_5 ) ) ) |
% 1.63/1.04 ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ ( suc @ A_5 ) ) ) ) ) ) |
% 1.63/1.04 ( ~( E @ 0 @ ( f @ ( suc @ A_5 ) ) ) ) |
% 1.63/1.04 ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ A_5 ) ) ) ) ) |
% 1.63/1.04 ( ~( E @ ( f @ A_5 ) @ ( f @ ( suc @ A_5 ) ) ) ) |
% 1.63/1.04 ( ~( E @ ( f @ A_5 ) @ ( f @ ( suc @ ( suc @ A_5 ) ) ) ) ) |
% 1.63/1.04 ( E @ ( f @ A_5 ) @ ( f @ ( suc @ ( suc @ ( suc @ A_5 ) ) ) ) ))).
% 1.63/1.04 thf(zip_derived_cl45, plain,
% 1.63/1.04 (![X0 : $i]:
% 1.63/1.04 (~ (E @ 0 @ (f @ X0))
% 1.63/1.04 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0)))))
% 1.63/1.04 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 1.63/1.04 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 1.63/1.04 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.63/1.04 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 1.63/1.04 | (E @ (f @ X0) @ (f @ (suc @ (suc @ (suc @ X0))))))),
% 1.63/1.04 inference('cnf', [status(esa)], [clause_72])).
% 1.63/1.04 thf(clause_26, axiom,
% 1.63/1.04 (( ~( E @ 0 @ ( f @ A_5 ) ) ) | ( ~( E @ 0 @ ( f @ ( suc @ A_5 ) ) ) ) |
% 1.63/1.04 ( E @ ( f @ A_5 ) @ ( f @ ( suc @ A_5 ) ) ))).
% 1.63/1.04 thf(zip_derived_cl1, plain,
% 1.63/1.04 (![X0 : $i]:
% 1.63/1.04 (~ (E @ 0 @ (f @ X0))
% 1.63/1.04 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 1.63/1.04 | (E @ (f @ X0) @ (f @ (suc @ X0))))),
% 1.63/1.04 inference('cnf', [status(esa)], [clause_26])).
% 1.63/1.04 thf(zip_derived_cl104, plain,
% 1.63/1.04 (![X0 : $i]:
% 1.63/1.04 ( (E @ (f @ X0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 1.63/1.04 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 1.63/1.04 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 1.63/1.04 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 1.63/1.04 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0)))))
% 1.63/1.04 | ~ (E @ 0 @ (f @ X0)))),
% 1.63/1.04 inference('clc', [status(thm)], [zip_derived_cl45, zip_derived_cl1])).
% 1.63/1.04 thf(clause_51, axiom,
% 1.63/1.04 (( ~( E @ 0 @ ( f @ ( suc @ ( suc @ A_5 ) ) ) ) ) |
% 1.63/1.04 ( ~( E @ 0 @ ( f @ ( suc @ A_5 ) ) ) ) |
% 1.63/1.04 ( ~( E @ ( f @ A_5 ) @ ( f @ ( suc @ A_5 ) ) ) ) |
% 1.63/1.04 ( ~( E @ 0 @ ( f @ A_5 ) ) ) |
% 1.63/1.04 ( E @ ( f @ A_5 ) @ ( f @ ( suc @ ( suc @ A_5 ) ) ) ))).
% 1.63/1.04 thf(zip_derived_cl19, plain,
% 1.63/1.04 (![X0 : $i]:
% 1.63/1.04 (~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 1.63/1.04 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 1.63/1.04 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.63/1.04 | ~ (E @ 0 @ (f @ X0))
% 1.63/1.04 | (E @ (f @ X0) @ (f @ (suc @ (suc @ X0)))))),
% 1.63/1.04 inference('cnf', [status(esa)], [clause_51])).
% 1.63/1.04 thf(zip_derived_cl1, plain,
% 1.63/1.04 (![X0 : $i]:
% 1.63/1.04 (~ (E @ 0 @ (f @ X0))
% 1.63/1.04 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 1.63/1.04 | (E @ (f @ X0) @ (f @ (suc @ X0))))),
% 1.63/1.04 inference('cnf', [status(esa)], [clause_26])).
% 1.63/1.04 thf(zip_derived_cl55, plain,
% 1.63/1.04 (![X0 : $i]:
% 1.63/1.04 ( (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 1.63/1.04 | ~ (E @ 0 @ (f @ X0))
% 1.63/1.04 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 1.63/1.04 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0)))))),
% 1.63/1.04 inference('clc', [status(thm)], [zip_derived_cl19, zip_derived_cl1])).
% 1.63/1.04 thf(zip_derived_cl105, plain,
% 1.63/1.04 (![X0 : $i]:
% 1.63/1.04 (~ (E @ 0 @ (f @ X0))
% 1.63/1.04 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0)))))
% 1.63/1.04 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 1.63/1.04 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 1.63/1.04 | (E @ (f @ X0) @ (f @ (suc @ (suc @ (suc @ X0))))))),
% 1.63/1.04 inference('clc', [status(thm)], [zip_derived_cl104, zip_derived_cl55])).
% 1.63/1.04 thf(clause_42, axiom,
% 1.63/1.04 (( ~( E @ 0 @ ( f @ ( suc @ ( suc @ ( suc @ ( suc @ A_5 ) ) ) ) ) ) ) |
% 1.63/1.04 ( ~( E @ 0 @ ( f @ A_5 ) ) ) |
% 1.63/1.04 ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ ( suc @ A_5 ) ) ) ) ) ) |
% 1.63/1.04 ( ~( E @ 0 @ ( f @ ( suc @ A_5 ) ) ) ) |
% 1.63/1.04 ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ A_5 ) ) ) ) ) |
% 1.63/1.04 ( ~( E @ ( f @ A_5 ) @ ( f @ ( suc @ A_5 ) ) ) ) |
% 1.63/1.04 ( ~( E @ ( f @ A_5 ) @ ( f @ ( suc @ ( suc @ ( suc @ A_5 ) ) ) ) ) ) |
% 1.63/1.04 ( ~( E @ ( f @ A_5 ) @ ( f @ ( suc @ ( suc @ A_5 ) ) ) ) ))).
% 1.63/1.04 thf(zip_derived_cl26, plain,
% 1.63/1.04 (![X0 : $i]:
% 1.63/1.04 (~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ (suc @ X0))))))
% 1.63/1.04 | ~ (E @ 0 @ (f @ X0))
% 1.63/1.04 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0)))))
% 1.63/1.04 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 1.63/1.04 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 1.63/1.04 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.63/1.04 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 1.63/1.04 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0)))))),
% 1.63/1.04 inference('cnf', [status(esa)], [clause_42])).
% 1.63/1.04 thf(zip_derived_cl1, plain,
% 1.63/1.04 (![X0 : $i]:
% 1.63/1.04 (~ (E @ 0 @ (f @ X0))
% 1.63/1.04 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 1.63/1.04 | (E @ (f @ X0) @ (f @ (suc @ X0))))),
% 1.63/1.04 inference('cnf', [status(esa)], [clause_26])).
% 1.63/1.04 thf(zip_derived_cl47, plain,
% 1.63/1.04 (![X0 : $i]:
% 1.63/1.04 (~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 1.63/1.04 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 1.63/1.04 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 1.63/1.04 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 1.63/1.04 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0)))))
% 1.63/1.04 | ~ (E @ 0 @ (f @ X0))
% 1.63/1.04 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ (suc @ X0)))))))),
% 1.63/1.04 inference('clc', [status(thm)], [zip_derived_cl26, zip_derived_cl1])).
% 1.63/1.04 thf(zip_derived_cl106, plain,
% 1.63/1.04 (![X0 : $i]:
% 1.63/1.04 (~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 1.63/1.04 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 1.63/1.04 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0)))))
% 1.63/1.04 | ~ (E @ 0 @ (f @ X0))
% 1.63/1.04 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 1.63/1.04 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 1.63/1.04 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 1.63/1.04 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0)))))
% 1.63/1.04 | ~ (E @ 0 @ (f @ X0))
% 1.63/1.04 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ (suc @ X0)))))))),
% 1.63/1.04 inference('s_sup-', [status(thm)], [zip_derived_cl105, zip_derived_cl47])).
% 1.63/1.04 thf(zip_derived_cl108, plain,
% 1.63/1.04 (![X0 : $i]:
% 1.63/1.04 (~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ (suc @ X0))))))
% 1.63/1.04 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 1.63/1.04 | ~ (E @ 0 @ (f @ X0))
% 1.63/1.04 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0)))))
% 1.63/1.04 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 1.63/1.04 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0)))))),
% 1.63/1.04 inference('simplify', [status(thm)], [zip_derived_cl106])).
% 1.63/1.04 thf(zip_derived_cl55, plain,
% 1.63/1.04 (![X0 : $i]:
% 1.63/1.04 ( (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 1.63/1.04 | ~ (E @ 0 @ (f @ X0))
% 1.63/1.04 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 1.63/1.04 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0)))))),
% 1.63/1.04 inference('clc', [status(thm)], [zip_derived_cl19, zip_derived_cl1])).
% 1.63/1.04 thf(zip_derived_cl109, plain,
% 1.63/1.04 (![X0 : $i]:
% 1.63/1.04 (~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 1.63/1.04 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 1.63/1.04 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0)))))
% 1.63/1.04 | ~ (E @ 0 @ (f @ X0))
% 1.63/1.04 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ (suc @ X0)))))))),
% 1.63/1.04 inference('clc', [status(thm)], [zip_derived_cl108, zip_derived_cl55])).
% 1.63/1.04 thf(zip_derived_cl437, plain,
% 1.63/1.04 (![X0 : $i]:
% 1.63/1.04 ( (LE @ (f @ X0) @ 0)
% 1.63/1.04 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 1.63/1.04 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 1.63/1.04 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0)))))
% 1.63/1.04 | ~ (E @ 0 @ (f @ X0)))),
% 1.63/1.04 inference('s_sup-', [status(thm)], [zip_derived_cl426, zip_derived_cl109])).
% 1.63/1.04 thf(clause_68, axiom,
% 1.63/1.04 (( ~( LE @ ( f @ ( suc @ ( suc @ B_3 ) ) ) @ ( s @ 0 ) ) ) |
% 1.63/1.04 ( E @ 0 @ ( f @ ( suc @ ( suc @ B_3 ) ) ) ) | ( LE @ ( f @ B_3 ) @ 0 ))).
% 1.63/1.04 thf(zip_derived_cl37, plain,
% 1.63/1.04 (![X0 : $i]:
% 1.63/1.04 (~ (LE @ (f @ (suc @ (suc @ X0))) @ (s @ 0))
% 1.63/1.04 | (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 1.63/1.04 | (LE @ (f @ X0) @ 0))),
% 1.63/1.04 inference('cnf', [status(esa)], [clause_68])).
% 1.63/1.04 thf(zip_derived_cl424, plain, (![X0 : $i]: (LE @ (f @ X0) @ (s @ 0))),
% 1.63/1.04 inference('clc', [status(thm)], [zip_derived_cl423, zip_derived_cl400])).
% 1.63/1.04 thf(zip_derived_cl427, plain,
% 1.63/1.04 (![X0 : $i]: ( (E @ 0 @ (f @ (suc @ (suc @ X0)))) | (LE @ (f @ X0) @ 0))),
% 1.63/1.04 inference('demod', [status(thm)], [zip_derived_cl37, zip_derived_cl424])).
% 1.63/1.04 thf(zip_derived_cl438, plain,
% 1.63/1.04 (![X0 : $i]:
% 1.63/1.04 (~ (E @ 0 @ (f @ X0))
% 1.63/1.04 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0)))))
% 1.63/1.04 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 1.63/1.04 | (LE @ (f @ X0) @ 0))),
% 1.63/1.04 inference('clc', [status(thm)], [zip_derived_cl437, zip_derived_cl427])).
% 1.63/1.04 thf(clause_62, axiom,
% 1.63/1.04 (( ~( LE @ ( f @ B_3 ) @ ( s @ 0 ) ) ) | ( E @ 0 @ ( f @ B_3 ) ) |
% 1.63/1.04 ( LE @ ( f @ B_3 ) @ 0 ))).
% 1.63/1.04 thf(zip_derived_cl42, plain,
% 1.63/1.04 (![X0 : $i]:
% 1.63/1.04 (~ (LE @ (f @ X0) @ (s @ 0))
% 1.63/1.04 | (E @ 0 @ (f @ X0))
% 1.63/1.04 | (LE @ (f @ X0) @ 0))),
% 1.63/1.04 inference('cnf', [status(esa)], [clause_62])).
% 1.63/1.04 thf(zip_derived_cl424, plain, (![X0 : $i]: (LE @ (f @ X0) @ (s @ 0))),
% 1.63/1.04 inference('clc', [status(thm)], [zip_derived_cl423, zip_derived_cl400])).
% 1.63/1.04 thf(zip_derived_cl429, plain,
% 1.63/1.04 (![X0 : $i]: ( (E @ 0 @ (f @ X0)) | (LE @ (f @ X0) @ 0))),
% 1.63/1.04 inference('demod', [status(thm)], [zip_derived_cl42, zip_derived_cl424])).
% 1.63/1.04 thf(zip_derived_cl439, plain,
% 1.63/1.04 (![X0 : $i]:
% 1.63/1.04 ( (LE @ (f @ X0) @ 0)
% 1.63/1.04 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 1.63/1.04 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0))))))),
% 1.63/1.04 inference('clc', [status(thm)], [zip_derived_cl438, zip_derived_cl429])).
% 1.63/1.04 thf(clause_21, axiom,
% 1.63/1.04 (( ~( LE @ ( f @ ( suc @ B_3 ) ) @ ( s @ 0 ) ) ) |
% 1.63/1.04 ( E @ 0 @ ( f @ ( suc @ B_3 ) ) ) | ( LE @ ( f @ B_3 ) @ 0 ))).
% 1.63/1.04 thf(zip_derived_cl39, plain,
% 1.63/1.04 (![X0 : $i]:
% 1.63/1.04 (~ (LE @ (f @ (suc @ X0)) @ (s @ 0))
% 1.63/1.04 | (E @ 0 @ (f @ (suc @ X0)))
% 1.63/1.04 | (LE @ (f @ X0) @ 0))),
% 1.63/1.04 inference('cnf', [status(esa)], [clause_21])).
% 1.63/1.04 thf(zip_derived_cl424, plain, (![X0 : $i]: (LE @ (f @ X0) @ (s @ 0))),
% 1.63/1.04 inference('clc', [status(thm)], [zip_derived_cl423, zip_derived_cl400])).
% 1.63/1.04 thf(zip_derived_cl428, plain,
% 1.63/1.04 (![X0 : $i]: ( (E @ 0 @ (f @ (suc @ X0))) | (LE @ (f @ X0) @ 0))),
% 1.63/1.04 inference('demod', [status(thm)], [zip_derived_cl39, zip_derived_cl424])).
% 1.63/1.04 thf(zip_derived_cl440, plain,
% 1.63/1.04 (![X0 : $i]:
% 1.63/1.04 (~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0))))) | (LE @ (f @ X0) @ 0))),
% 1.63/1.04 inference('clc', [status(thm)], [zip_derived_cl439, zip_derived_cl428])).
% 1.63/1.04 thf(clause_39, axiom,
% 1.63/1.04 (( ~( LE @ ( f @ ( suc @ ( suc @ ( suc @ B_3 ) ) ) ) @ ( s @ 0 ) ) ) |
% 1.63/1.04 ( E @ 0 @ ( f @ ( suc @ ( suc @ ( suc @ B_3 ) ) ) ) ) |
% 1.63/1.04 ( LE @ ( f @ B_3 ) @ 0 ))).
% 1.63/1.04 thf(zip_derived_cl12, plain,
% 1.63/1.04 (![X0 : $i]:
% 1.63/1.04 (~ (LE @ (f @ (suc @ (suc @ (suc @ X0)))) @ (s @ 0))
% 1.63/1.04 | (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0)))))
% 1.63/1.04 | (LE @ (f @ X0) @ 0))),
% 1.63/1.04 inference('cnf', [status(esa)], [clause_39])).
% 1.63/1.04 thf(zip_derived_cl424, plain, (![X0 : $i]: (LE @ (f @ X0) @ (s @ 0))),
% 1.63/1.04 inference('clc', [status(thm)], [zip_derived_cl423, zip_derived_cl400])).
% 1.63/1.04 thf(zip_derived_cl425, plain,
% 1.63/1.04 (![X0 : $i]:
% 1.63/1.04 ( (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0))))) | (LE @ (f @ X0) @ 0))),
% 1.63/1.04 inference('demod', [status(thm)], [zip_derived_cl12, zip_derived_cl424])).
% 1.63/1.04 thf(zip_derived_cl441, plain, (![X0 : $i]: (LE @ (f @ X0) @ 0)),
% 1.63/1.04 inference('clc', [status(thm)], [zip_derived_cl440, zip_derived_cl425])).
% 1.63/1.04 thf(zip_derived_cl442, plain, ($false),
% 1.63/1.04 inference('demod', [status(thm)], [zip_derived_cl10, zip_derived_cl441])).
% 1.63/1.04
% 1.63/1.04 % SZS output end Refutation
% 1.63/1.04
% 1.63/1.04
% 1.63/1.04 % Terminating...
% 2.28/1.15 % Runner terminated.
% 2.28/1.16 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------