%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYO671-1 : TPTP v9.2.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.QShqZOayR4 true
% Computer : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Oct 2 05:08:07 PM UTC 2025
% Result : Unsatisfiable 0.58s 0.99s
% Output : Refutation 0.58s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SYO671-1 : TPTP v9.2.0. Released v7.3.0.
% 0.04/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.QShqZOayR4 true
% 0.13/0.34 % Computer : n010.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Oct 1 18:05:23 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.56/0.64 % Total configuration time : 435
% 0.56/0.64 % Estimated wc time : 1092
% 0.56/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.56/0.71 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.56/0.75 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.56/0.76 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.56/0.77 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.56/0.77 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.56/0.77 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.56/0.77 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.58/0.99 % Solved by fo/fo3_bce.sh.
% 0.58/0.99 % BCE start: 41
% 0.58/0.99 % BCE eliminated: 0
% 0.58/0.99 % PE start: 41
% 0.58/0.99 logic: neq
% 0.58/0.99 % PE eliminated: 0
% 0.58/0.99 % done 250 iterations in 0.208s
% 0.58/0.99 % SZS status Unsatisfiable for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.58/0.99 % SZS output start Refutation
% 0.58/0.99 thf(f_type, type, f: $i > $i).
% 0.58/0.99 thf(0_type, type, 0: $i).
% 0.58/0.99 thf(suc_type, type, suc: $i > $i).
% 0.58/0.99 thf(z_type, type, z: $i).
% 0.58/0.99 thf(s_type, type, s: $i > $i).
% 0.58/0.99 thf(E_type, type, E: $i > $i > $o).
% 0.58/0.99 thf(iLEQ_type, type, iLEQ: $i > $i > $o).
% 0.58/0.99 thf(LE_type, type, LE: $i > $i > $o).
% 0.58/0.99 thf(clause_83, axiom,
% 0.58/0.99 (( ~( E @ 0 @ ( f @ B_36 ) ) ) |
% 0.58/0.99 ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ B_36 ) ) ) ) ) |
% 0.58/0.99 ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ B_37 ) ) ) ) ) |
% 0.58/0.99 ( ~( E @ 0 @ ( f @ ( suc @ B_36 ) ) ) ) | ( ~( E @ 0 @ ( f @ A_3 ) ) ) |
% 0.58/0.99 ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ A_3 ) ) ) ) ) |
% 0.58/0.99 ( ~( E @ ( f @ B_36 ) @ ( f @ ( suc @ B_36 ) ) ) ) |
% 0.58/0.99 ( ~( E @ 0 @ ( f @ ( suc @ A_3 ) ) ) ) |
% 0.58/0.99 ( ~( E @ ( f @ A_3 ) @ ( f @ ( suc @ A_3 ) ) ) ) |
% 0.58/0.99 ( ~( E @ 0 @ ( f @ ( suc @ B_37 ) ) ) ) | ( ~( E @ 0 @ ( f @ B_37 ) ) ) |
% 0.58/0.99 ( ~( E @ ( f @ B_37 ) @ ( f @ ( suc @ B_37 ) ) ) ) |
% 0.58/0.99 ( ~( iLEQ @ ( suc @ A_3 ) @ ( suc @ B_36 ) ) ) |
% 0.58/0.99 ( ~( iLEQ @ ( suc @ B_36 ) @ ( suc @ B_37 ) ) ))).
% 0.58/0.99 thf(zip_derived_cl13, plain,
% 0.58/0.99 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.99 (~ (E @ 0 @ (f @ X0))
% 0.58/0.99 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 0.58/0.99 | ~ (E @ 0 @ (f @ (suc @ (suc @ X1))))
% 0.58/0.99 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.58/0.99 | ~ (E @ 0 @ (f @ X2))
% 0.58/0.99 | ~ (E @ 0 @ (f @ (suc @ (suc @ X2))))
% 0.58/0.99 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.58/0.99 | ~ (E @ 0 @ (f @ (suc @ X2)))
% 0.58/0.99 | ~ (E @ (f @ X2) @ (f @ (suc @ X2)))
% 0.58/0.99 | ~ (E @ 0 @ (f @ (suc @ X1)))
% 0.58/0.99 | ~ (E @ 0 @ (f @ X1))
% 0.58/0.99 | ~ (E @ (f @ X1) @ (f @ (suc @ X1)))
% 0.58/0.99 | ~ (iLEQ @ (suc @ X2) @ (suc @ X0))
% 0.58/0.99 | ~ (iLEQ @ (suc @ X0) @ (suc @ X1)))),
% 0.58/0.99 inference('cnf', [status(esa)], [clause_83])).
% 0.58/0.99 thf(zip_derived_cl241, plain,
% 0.58/0.99 (![X0 : $i]:
% 0.58/0.99 (~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 0.58/0.99 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.58/0.99 | ~ (E @ 0 @ (f @ X0))
% 0.58/0.99 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.58/0.99 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.58/0.99 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.58/0.99 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.58/0.99 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 0.58/0.99 | ~ (E @ 0 @ (f @ X0))
% 0.58/0.99 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.58/0.99 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 0.58/0.99 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 0.58/0.99 | ~ (E @ 0 @ (f @ X0)))),
% 0.58/0.99 inference('eq_fact', [status(thm)], [zip_derived_cl13])).
% 0.58/0.99 thf(zip_derived_cl242, plain,
% 0.58/0.99 (![X0 : $i]:
% 0.58/0.99 (~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 0.58/0.99 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.58/0.99 | ~ (E @ 0 @ (f @ X0))
% 0.58/0.99 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.58/0.99 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 0.58/0.99 inference('simplify', [status(thm)], [zip_derived_cl241])).
% 0.58/0.99 thf(clause_16, axiom,
% 0.58/0.99 (( ~( E @ 0 @ ( f @ B_36 ) ) ) | ( ~( E @ 0 @ ( f @ ( suc @ B_36 ) ) ) ) |
% 0.58/0.99 ( ~( E @ 0 @ ( f @ A_3 ) ) ) | ( ~( E @ 0 @ ( f @ ( suc @ A_3 ) ) ) ) |
% 0.58/0.99 ( ~( E @ 0 @ ( f @ ( suc @ B_37 ) ) ) ) | ( ~( E @ 0 @ ( f @ B_37 ) ) ) |
% 0.58/0.99 ( ~( iLEQ @ ( suc @ A_3 ) @ ( suc @ B_36 ) ) ) |
% 0.58/0.99 ( ~( iLEQ @ ( suc @ B_36 ) @ ( suc @ B_37 ) ) ) |
% 0.58/0.99 ( E @ ( f @ A_3 ) @ ( f @ ( suc @ A_3 ) ) ) |
% 0.58/0.99 ( E @ ( f @ B_36 ) @ ( f @ ( suc @ B_36 ) ) ) |
% 0.58/0.99 ( E @ ( f @ B_37 ) @ ( f @ ( suc @ B_37 ) ) ))).
% 0.58/0.99 thf(zip_derived_cl8, plain,
% 0.58/0.99 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.99 (~ (E @ 0 @ (f @ X0))
% 0.58/0.99 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.58/0.99 | ~ (E @ 0 @ (f @ X1))
% 0.58/0.99 | ~ (E @ 0 @ (f @ (suc @ X1)))
% 0.58/0.99 | ~ (E @ 0 @ (f @ (suc @ X2)))
% 0.58/0.99 | ~ (E @ 0 @ (f @ X2))
% 0.58/0.99 | ~ (iLEQ @ (suc @ X1) @ (suc @ X0))
% 0.58/0.99 | ~ (iLEQ @ (suc @ X0) @ (suc @ X2))
% 0.58/0.99 | (E @ (f @ X1) @ (f @ (suc @ X1)))
% 0.58/0.99 | (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.58/0.99 | (E @ (f @ X2) @ (f @ (suc @ X2))))),
% 0.58/0.99 inference('cnf', [status(esa)], [clause_16])).
% 0.58/0.99 thf(zip_derived_cl139, plain,
% 0.58/0.99 (![X0 : $i]:
% 0.58/0.99 ( (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.58/0.99 | (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.58/0.99 | (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.58/0.99 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 0.58/0.99 | ~ (E @ 0 @ (f @ X0))
% 0.58/0.99 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.58/0.99 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.58/0.99 | ~ (E @ 0 @ (f @ X0))
% 0.58/0.99 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.58/0.99 | ~ (E @ 0 @ (f @ X0)))),
% 0.58/0.99 inference('eq_fact', [status(thm)], [zip_derived_cl8])).
% 0.58/0.99 thf(zip_derived_cl140, plain,
% 0.58/0.99 (![X0 : $i]:
% 0.58/0.99 (~ (E @ 0 @ (f @ (suc @ X0)))
% 0.58/0.99 | ~ (E @ 0 @ (f @ X0))
% 0.58/0.99 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 0.58/0.99 | (E @ (f @ X0) @ (f @ (suc @ X0))))),
% 0.58/0.99 inference('simplify', [status(thm)], [zip_derived_cl139])).
% 0.58/0.99 thf(clause_86, axiom,
% 0.58/0.99 (( ~( E @ 0 @ ( f @ A_3 ) ) ) | ( ~( E @ 0 @ ( f @ ( suc @ A_3 ) ) ) ) |
% 0.58/0.99 ( E @ ( f @ A_3 ) @ ( f @ ( suc @ A_3 ) ) ) |
% 0.58/0.99 ( iLEQ @ ( suc @ A_3 ) @ ( suc @ A_3 ) ))).
% 0.58/0.99 thf(zip_derived_cl15, plain,
% 0.58/0.99 (![X0 : $i]:
% 0.58/0.99 (~ (E @ 0 @ (f @ X0))
% 0.58/0.99 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.58/0.99 | (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.58/0.99 | (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 0.58/0.99 inference('cnf', [status(esa)], [clause_86])).
% 0.58/0.99 thf(zip_derived_cl189, plain,
% 0.58/0.99 (![X0 : $i]:
% 0.58/0.99 ( (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.58/0.99 | ~ (E @ 0 @ (f @ X0))
% 0.58/0.99 | ~ (E @ 0 @ (f @ (suc @ X0))))),
% 0.58/0.99 inference('clc', [status(thm)], [zip_derived_cl140, zip_derived_cl15])).
% 0.58/0.99 thf(zip_derived_cl246, plain,
% 0.58/0.99 (![X0 : $i]:
% 0.58/0.99 (~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 0.58/0.99 | ~ (E @ 0 @ (f @ X0))
% 0.58/0.99 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.58/0.99 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0)))))),
% 0.58/0.99 inference('clc', [status(thm)], [zip_derived_cl242, zip_derived_cl189])).
% 0.58/0.99 thf(clause_116, axiom,
% 0.58/0.99 (( ~( E @ 0 @ ( f @ ( suc @ ( suc @ A_3 ) ) ) ) ) |
% 0.58/0.99 ( ~( E @ 0 @ ( f @ ( suc @ A_3 ) ) ) ) |
% 0.58/0.99 ( ~( E @ ( f @ A_3 ) @ ( f @ ( suc @ A_3 ) ) ) ) |
% 0.58/0.99 ( ~( E @ 0 @ ( f @ A_3 ) ) ) | ( iLEQ @ ( suc @ A_3 ) @ ( suc @ A_3 ) ))).
% 0.58/0.99 thf(zip_derived_cl27, plain,
% 0.58/0.99 (![X0 : $i]:
% 0.58/0.99 (~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 0.58/0.99 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.58/0.99 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.58/0.99 | ~ (E @ 0 @ (f @ X0))
% 0.58/0.99 | (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 0.58/0.99 inference('cnf', [status(esa)], [clause_116])).
% 0.58/0.99 thf(zip_derived_cl15, plain,
% 0.58/0.99 (![X0 : $i]:
% 0.58/0.99 (~ (E @ 0 @ (f @ X0))
% 0.58/0.99 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.58/0.99 | (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.58/0.99 | (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 0.58/0.99 inference('cnf', [status(esa)], [clause_86])).
% 0.58/0.99 thf(zip_derived_cl50, plain,
% 0.58/0.99 (![X0 : $i]:
% 0.58/0.99 ( (iLEQ @ (suc @ X0) @ (suc @ X0))
% 0.58/0.99 | ~ (E @ 0 @ (f @ X0))
% 0.58/0.99 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.58/0.99 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0)))))),
% 0.58/0.99 inference('clc', [status(thm)], [zip_derived_cl27, zip_derived_cl15])).
% 0.58/0.99 thf(zip_derived_cl247, plain,
% 0.58/0.99 (![X0 : $i]:
% 0.58/0.99 (~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 0.58/0.99 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.58/0.99 | ~ (E @ 0 @ (f @ X0)))),
% 0.58/0.99 inference('clc', [status(thm)], [zip_derived_cl246, zip_derived_cl50])).
% 0.58/0.99 thf(clause_217, axiom,
% 0.58/0.99 (( ~( LE @ ( f @ ( suc @ ( suc @ B_16 ) ) ) @ ( s @ ( s @ ( s @ 0 ) ) ) ) ) |
% 0.58/0.99 ( E @ ( s @ ( s @ 0 ) ) @ ( f @ ( suc @ ( suc @ B_16 ) ) ) ) |
% 0.58/0.99 ( LE @ ( f @ B_16 ) @ ( s @ ( s @ 0 ) ) ))).
% 0.58/0.99 thf(zip_derived_cl5, plain,
% 0.58/0.99 (![X0 : $i]:
% 0.58/0.99 (~ (LE @ (f @ (suc @ (suc @ X0))) @ (s @ (s @ (s @ 0))))
% 0.58/0.99 | (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ X0))))
% 0.58/0.99 | (LE @ (f @ X0) @ (s @ (s @ 0))))),
% 0.58/0.99 inference('cnf', [status(esa)], [clause_217])).
% 0.58/0.99 thf(clause_421, axiom, (LE @ ( f @ A ) @ ( s @ ( s @ ( s @ 0 ) ) ))).
% 0.58/0.99 thf(zip_derived_cl10, plain,
% 0.58/0.99 (![X0 : $i]: (LE @ (f @ X0) @ (s @ (s @ (s @ 0))))),
% 0.58/0.99 inference('cnf', [status(esa)], [clause_421])).
% 0.58/0.99 thf(zip_derived_cl95, plain,
% 0.58/0.99 (![X0 : $i]:
% 0.58/0.99 ( (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ X0))))
% 0.58/0.99 | (LE @ (f @ X0) @ (s @ (s @ 0))))),
% 0.58/0.99 inference('demod', [status(thm)], [zip_derived_cl5, zip_derived_cl10])).
% 0.58/0.99 thf(clause_18, axiom,
% 0.58/0.99 (( ~( LE @ ( f @ ( suc @ ( suc @ B_28 ) ) ) @ ( s @ ( s @ 0 ) ) ) ) |
% 0.58/0.99 ( E @ ( s @ 0 ) @ ( f @ ( suc @ ( suc @ B_28 ) ) ) ) |
% 0.58/0.99 ( LE @ ( f @ B_28 ) @ ( s @ 0 ) ))).
% 0.58/0.99 thf(zip_derived_cl40, plain,
% 0.58/0.99 (![X0 : $i]:
% 0.58/1.00 (~ (LE @ (f @ (suc @ (suc @ X0))) @ (s @ (s @ 0)))
% 0.58/1.00 | (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 0.58/1.00 | (LE @ (f @ X0) @ (s @ 0)))),
% 0.58/1.00 inference('cnf', [status(esa)], [clause_18])).
% 0.58/1.00 thf(zip_derived_cl98, plain,
% 0.58/1.00 (![X0 : $i]:
% 0.58/1.00 ( (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ (suc @ (suc @ X0))))))
% 0.58/1.00 | (LE @ (f @ X0) @ (s @ 0))
% 0.58/1.00 | (E @ (s @ 0) @ (f @ (suc @ (suc @ X0)))))),
% 0.58/1.00 inference('sup-', [status(thm)], [zip_derived_cl95, zip_derived_cl40])).
% 0.58/1.00 thf(clause_72, axiom,
% 0.58/1.00 (( ~( LE @ ( f @ ( suc @ ( suc @ B_35 ) ) ) @ ( s @ 0 ) ) ) |
% 0.58/1.00 ( E @ 0 @ ( f @ ( suc @ ( suc @ B_35 ) ) ) ) | ( LE @ ( f @ B_35 ) @ 0 ))).
% 0.58/1.00 thf(zip_derived_cl22, plain,
% 0.58/1.00 (![X0 : $i]:
% 0.58/1.00 (~ (LE @ (f @ (suc @ (suc @ X0))) @ (s @ 0))
% 0.58/1.00 | (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 0.58/1.00 | (LE @ (f @ X0) @ 0))),
% 0.58/1.00 inference('cnf', [status(esa)], [clause_72])).
% 0.58/1.00 thf(zip_derived_cl278, plain,
% 0.58/1.00 (![X0 : $i]:
% 0.58/1.00 ( (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ (suc @ X0))))))
% 0.58/1.00 | (E @ (s @ (s @ 0)) @
% 0.58/1.00 (f @ (suc @ (suc @ (suc @ (suc @ (suc @ (suc @ X0))))))))
% 0.58/1.00 | (LE @ (f @ X0) @ 0)
% 0.58/1.00 | (E @ 0 @ (f @ (suc @ (suc @ X0)))))),
% 0.58/1.00 inference('sup-', [status(thm)], [zip_derived_cl98, zip_derived_cl22])).
% 0.58/1.00 thf(clause_211, axiom, (~( LE @ ( f @ z ) @ 0 ))).
% 0.58/1.00 thf(zip_derived_cl33, plain, (~ (LE @ (f @ z) @ 0)),
% 0.58/1.00 inference('cnf', [status(esa)], [clause_211])).
% 0.58/1.00 thf(zip_derived_cl499, plain,
% 0.58/1.00 (( (E @ 0 @ (f @ (suc @ (suc @ z))))
% 0.58/1.00 | (E @ (s @ (s @ 0)) @
% 0.58/1.00 (f @ (suc @ (suc @ (suc @ (suc @ (suc @ (suc @ z))))))))
% 0.58/1.00 | (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ (suc @ z)))))))),
% 0.58/1.00 inference('sup-', [status(thm)], [zip_derived_cl278, zip_derived_cl33])).
% 0.58/1.00 thf(clause_20, axiom,
% 0.58/1.00 (( ~( E @ ( s @ ( s @ 0 ) ) @ ( f @ A_1 ) ) ) |
% 0.58/1.00 ( ~( E @ ( s @ ( s @ 0 ) ) @ ( f @ ( suc @ B_17 ) ) ) ) |
% 0.58/1.00 ( ~( E @ ( s @ ( s @ 0 ) ) @ ( f @ B_17 ) ) ) |
% 0.58/1.00 ( ~( E @ ( s @ ( s @ 0 ) ) @ ( f @ ( suc @ ( suc @ B_18 ) ) ) ) ) |
% 0.58/1.00 ( ~( E @ ( s @ ( s @ 0 ) ) @ ( f @ ( suc @ A_1 ) ) ) ) |
% 0.58/1.00 ( ~( iLEQ @ ( suc @ B_17 ) @ ( suc @ B_18 ) ) ) |
% 0.58/1.00 ( ~( E @ ( s @ ( s @ 0 ) ) @ ( f @ B_18 ) ) ) |
% 0.58/1.00 ( ~( E @ ( f @ B_18 ) @ ( f @ ( suc @ B_18 ) ) ) ) |
% 0.58/1.00 ( ~( E @ ( f @ A_1 ) @ ( f @ ( suc @ A_1 ) ) ) ) |
% 0.58/1.00 ( ~( E @ ( f @ B_17 ) @ ( f @ ( suc @ B_17 ) ) ) ) |
% 0.58/1.00 ( ~( iLEQ @ ( suc @ A_1 ) @ ( suc @ B_17 ) ) ) |
% 0.58/1.00 ( ~( E @ ( s @ ( s @ 0 ) ) @ ( f @ ( suc @ ( suc @ A_1 ) ) ) ) ) |
% 0.58/1.00 ( ~( E @ ( s @ ( s @ 0 ) ) @ ( f @ ( suc @ B_18 ) ) ) ) |
% 0.58/1.00 ( ~( E @ ( s @ ( s @ 0 ) ) @ ( f @ ( suc @ ( suc @ B_17 ) ) ) ) ))).
% 0.58/1.00 thf(zip_derived_cl7, plain,
% 0.58/1.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/1.00 (~ (E @ (s @ (s @ 0)) @ (f @ X0))
% 0.58/1.00 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X1)))
% 0.58/1.00 | ~ (E @ (s @ (s @ 0)) @ (f @ X1))
% 0.58/1.00 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ X2))))
% 0.58/1.00 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 0.58/1.00 | ~ (iLEQ @ (suc @ X1) @ (suc @ X2))
% 0.58/1.00 | ~ (E @ (s @ (s @ 0)) @ (f @ X2))
% 0.58/1.00 | ~ (E @ (f @ X2) @ (f @ (suc @ X2)))
% 0.58/1.00 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.58/1.00 | ~ (E @ (f @ X1) @ (f @ (suc @ X1)))
% 0.58/1.00 | ~ (iLEQ @ (suc @ X0) @ (suc @ X1))
% 0.58/1.00 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ X0))))
% 0.58/1.00 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X2)))
% 0.58/1.00 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ X1)))))),
% 0.58/1.00 inference('cnf', [status(esa)], [clause_20])).
% 0.58/1.00 thf(zip_derived_cl227, plain,
% 0.58/1.00 (![X0 : $i]:
% 0.58/1.00 (~ (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ X0))))
% 0.58/1.00 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 0.58/1.00 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ X0))))
% 0.58/1.00 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 0.58/1.00 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.58/1.00 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.58/1.00 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.58/1.00 | ~ (E @ (s @ (s @ 0)) @ (f @ X0))
% 0.58/1.00 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 0.58/1.00 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ X0))))
% 0.58/1.00 | ~ (E @ (s @ (s @ 0)) @ (f @ X0))
% 0.58/1.00 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 0.58/1.00 | ~ (E @ (s @ (s @ 0)) @ (f @ X0)))),
% 0.58/1.00 inference('eq_fact', [status(thm)], [zip_derived_cl7])).
% 0.58/1.00 thf(zip_derived_cl228, plain,
% 0.58/1.00 (![X0 : $i]:
% 0.58/1.00 (~ (E @ (s @ (s @ 0)) @ (f @ X0))
% 0.58/1.00 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.58/1.00 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 0.58/1.00 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 0.58/1.00 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ X0)))))),
% 0.58/1.00 inference('simplify', [status(thm)], [zip_derived_cl227])).
% 0.58/1.00 thf(clause_311, axiom,
% 0.58/1.00 (( ~( E @ ( s @ ( s @ 0 ) ) @ ( f @ A_1 ) ) ) |
% 0.58/1.00 ( ~( E @ ( s @ ( s @ 0 ) ) @ ( f @ ( suc @ B_17 ) ) ) ) |
% 0.58/1.00 ( ~( E @ ( s @ ( s @ 0 ) ) @ ( f @ B_17 ) ) ) |
% 0.58/1.00 ( ~( E @ ( s @ ( s @ 0 ) ) @ ( f @ ( suc @ A_1 ) ) ) ) |
% 0.58/1.00 ( ~( iLEQ @ ( suc @ B_17 ) @ ( suc @ B_18 ) ) ) |
% 0.58/1.00 ( ~( E @ ( s @ ( s @ 0 ) ) @ ( f @ B_18 ) ) ) |
% 0.58/1.00 ( ~( iLEQ @ ( suc @ A_1 ) @ ( suc @ B_17 ) ) ) |
% 0.58/1.00 ( ~( E @ ( s @ ( s @ 0 ) ) @ ( f @ ( suc @ B_18 ) ) ) ) |
% 0.58/1.00 ( E @ ( f @ A_1 ) @ ( f @ ( suc @ A_1 ) ) ) |
% 0.58/1.00 ( E @ ( f @ B_17 ) @ ( f @ ( suc @ B_17 ) ) ) |
% 0.58/1.00 ( E @ ( f @ B_18 ) @ ( f @ ( suc @ B_18 ) ) ))).
% 0.58/1.00 thf(zip_derived_cl12, plain,
% 0.58/1.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/1.00 (~ (E @ (s @ (s @ 0)) @ (f @ X0))
% 0.58/1.00 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X1)))
% 0.58/1.00 | ~ (E @ (s @ (s @ 0)) @ (f @ X1))
% 0.58/1.00 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 0.58/1.00 | ~ (iLEQ @ (suc @ X1) @ (suc @ X2))
% 0.58/1.00 | ~ (E @ (s @ (s @ 0)) @ (f @ X2))
% 0.58/1.00 | ~ (iLEQ @ (suc @ X0) @ (suc @ X1))
% 0.58/1.00 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X2)))
% 0.58/1.00 | (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.58/1.00 | (E @ (f @ X1) @ (f @ (suc @ X1)))
% 0.58/1.00 | (E @ (f @ X2) @ (f @ (suc @ X2))))),
% 0.58/1.00 inference('cnf', [status(esa)], [clause_311])).
% 0.58/1.00 thf(zip_derived_cl211, plain,
% 0.58/1.00 (![X0 : $i]:
% 0.58/1.00 ( (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.58/1.00 | (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.58/1.00 | (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.58/1.00 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 0.58/1.00 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 0.58/1.00 | ~ (E @ (s @ (s @ 0)) @ (f @ X0))
% 0.58/1.00 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 0.58/1.00 | ~ (E @ (s @ (s @ 0)) @ (f @ X0))
% 0.58/1.00 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 0.58/1.00 | ~ (E @ (s @ (s @ 0)) @ (f @ X0)))),
% 0.58/1.00 inference('eq_fact', [status(thm)], [zip_derived_cl12])).
% 0.58/1.00 thf(zip_derived_cl212, plain,
% 0.58/1.00 (![X0 : $i]:
% 0.58/1.00 (~ (E @ (s @ (s @ 0)) @ (f @ X0))
% 0.58/1.00 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 0.58/1.00 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 0.58/1.00 | (E @ (f @ X0) @ (f @ (suc @ X0))))),
% 0.58/1.00 inference('simplify', [status(thm)], [zip_derived_cl211])).
% 0.58/1.00 thf(clause_26, axiom,
% 0.58/1.00 (( ~( E @ ( s @ ( s @ 0 ) ) @ ( f @ A_1 ) ) ) |
% 0.58/1.00 ( ~( E @ ( s @ ( s @ 0 ) ) @ ( f @ ( suc @ A_1 ) ) ) ) |
% 0.58/1.00 ( E @ ( f @ A_1 ) @ ( f @ ( suc @ A_1 ) ) ) |
% 0.58/1.00 ( iLEQ @ ( suc @ A_1 ) @ ( suc @ A_1 ) ))).
% 0.58/1.00 thf(zip_derived_cl4, plain,
% 0.58/1.00 (![X0 : $i]:
% 0.58/1.00 (~ (E @ (s @ (s @ 0)) @ (f @ X0))
% 0.58/1.00 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 0.58/1.00 | (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.58/1.00 | (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 0.58/1.00 inference('cnf', [status(esa)], [clause_26])).
% 0.58/1.00 thf(zip_derived_cl217, plain,
% 0.58/1.00 (![X0 : $i]:
% 0.58/1.00 ( (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.58/1.00 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 0.58/1.00 | ~ (E @ (s @ (s @ 0)) @ (f @ X0)))),
% 0.58/1.00 inference('clc', [status(thm)], [zip_derived_cl212, zip_derived_cl4])).
% 0.58/1.00 thf(zip_derived_cl258, plain,
% 0.58/1.00 (![X0 : $i]:
% 0.58/1.00 (~ (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ X0))))
% 0.58/1.00 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 0.58/1.00 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 0.58/1.00 | ~ (E @ (s @ (s @ 0)) @ (f @ X0)))),
% 0.58/1.00 inference('clc', [status(thm)], [zip_derived_cl228, zip_derived_cl217])).
% 0.58/1.00 thf(clause_91, axiom,
% 0.58/1.00 (( ~( E @ ( s @ ( s @ 0 ) ) @ ( f @ ( suc @ ( suc @ A_1 ) ) ) ) ) |
% 0.58/1.00 ( ~( E @ ( s @ ( s @ 0 ) ) @ ( f @ ( suc @ A_1 ) ) ) ) |
% 0.58/1.00 ( ~( E @ ( f @ A_1 ) @ ( f @ ( suc @ A_1 ) ) ) ) |
% 0.58/1.00 ( ~( E @ ( s @ ( s @ 0 ) ) @ ( f @ A_1 ) ) ) |
% 0.58/1.00 ( iLEQ @ ( suc @ A_1 ) @ ( suc @ A_1 ) ))).
% 0.58/1.00 thf(zip_derived_cl23, plain,
% 0.58/1.00 (![X0 : $i]:
% 0.58/1.00 (~ (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ X0))))
% 0.58/1.00 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 0.58/1.00 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.58/1.00 | ~ (E @ (s @ (s @ 0)) @ (f @ X0))
% 0.58/1.00 | (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 0.58/1.00 inference('cnf', [status(esa)], [clause_91])).
% 0.58/1.00 thf(zip_derived_cl4, plain,
% 0.58/1.00 (![X0 : $i]:
% 0.58/1.00 (~ (E @ (s @ (s @ 0)) @ (f @ X0))
% 0.58/1.00 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 0.58/1.00 | (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.58/1.00 | (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 0.58/1.00 inference('cnf', [status(esa)], [clause_26])).
% 0.58/1.00 thf(zip_derived_cl126, plain,
% 0.58/1.00 (![X0 : $i]:
% 0.58/1.00 ( (iLEQ @ (suc @ X0) @ (suc @ X0))
% 0.58/1.00 | ~ (E @ (s @ (s @ 0)) @ (f @ X0))
% 0.58/1.00 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 0.58/1.00 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ X0)))))),
% 0.58/1.00 inference('clc', [status(thm)], [zip_derived_cl23, zip_derived_cl4])).
% 0.58/1.00 thf(zip_derived_cl259, plain,
% 0.58/1.00 (![X0 : $i]:
% 0.58/1.00 (~ (E @ (s @ (s @ 0)) @ (f @ X0))
% 0.58/1.00 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 0.58/1.00 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ X0)))))),
% 0.58/1.00 inference('clc', [status(thm)], [zip_derived_cl258, zip_derived_cl126])).
% 0.58/1.00 thf(zip_derived_cl501, plain,
% 0.58/1.00 (( (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ (suc @ z))))))
% 0.58/1.00 | (E @ 0 @ (f @ (suc @ (suc @ z))))
% 0.58/1.00 | ~ (E @ (s @ (s @ 0)) @
% 0.58/1.00 (f @ (suc @ (suc @ (suc @ (suc @ (suc @ z)))))))
% 0.58/1.00 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ (suc @ (suc @ z)))))))),
% 0.58/1.00 inference('sup-', [status(thm)], [zip_derived_cl499, zip_derived_cl259])).
% 0.58/1.00 thf(clause_183, axiom,
% 0.58/1.00 (( ~( LE @ ( f @ ( suc @ B_16 ) ) @ ( s @ ( s @ ( s @ 0 ) ) ) ) ) |
% 0.58/1.00 ( E @ ( s @ ( s @ 0 ) ) @ ( f @ ( suc @ B_16 ) ) ) |
% 0.58/1.00 ( LE @ ( f @ B_16 ) @ ( s @ ( s @ 0 ) ) ))).
% 0.58/1.00 thf(zip_derived_cl3, plain,
% 0.58/1.00 (![X0 : $i]:
% 0.58/1.00 (~ (LE @ (f @ (suc @ X0)) @ (s @ (s @ (s @ 0))))
% 0.58/1.00 | (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 0.58/1.00 | (LE @ (f @ X0) @ (s @ (s @ 0))))),
% 0.58/1.00 inference('cnf', [status(esa)], [clause_183])).
% 0.58/1.00 thf(zip_derived_cl10, plain,
% 0.58/1.00 (![X0 : $i]: (LE @ (f @ X0) @ (s @ (s @ (s @ 0))))),
% 0.58/1.00 inference('cnf', [status(esa)], [clause_421])).
% 0.58/1.00 thf(zip_derived_cl84, plain,
% 0.58/1.00 (![X0 : $i]:
% 0.58/1.00 ( (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 0.58/1.00 | (LE @ (f @ X0) @ (s @ (s @ 0))))),
% 0.58/1.00 inference('demod', [status(thm)], [zip_derived_cl3, zip_derived_cl10])).
% 0.58/1.00 thf(zip_derived_cl40, plain,
% 0.58/1.00 (![X0 : $i]:
% 0.58/1.00 (~ (LE @ (f @ (suc @ (suc @ X0))) @ (s @ (s @ 0)))
% 0.58/1.00 | (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 0.58/1.00 | (LE @ (f @ X0) @ (s @ 0)))),
% 0.58/1.00 inference('cnf', [status(esa)], [clause_18])).
% 0.58/1.00 thf(zip_derived_cl87, plain,
% 0.58/1.00 (![X0 : $i]:
% 0.58/1.00 ( (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 0.58/1.00 | (LE @ (f @ X0) @ (s @ 0))
% 0.58/1.00 | (E @ (s @ 0) @ (f @ (suc @ (suc @ X0)))))),
% 0.58/1.00 inference('sup-', [status(thm)], [zip_derived_cl84, zip_derived_cl40])).
% 0.58/1.00 thf(zip_derived_cl22, plain,
% 0.58/1.00 (![X0 : $i]:
% 0.58/1.00 (~ (LE @ (f @ (suc @ (suc @ X0))) @ (s @ 0))
% 0.58/1.00 | (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 0.58/1.00 | (LE @ (f @ X0) @ 0))),
% 0.58/1.00 inference('cnf', [status(esa)], [clause_72])).
% 0.58/1.00 thf(zip_derived_cl261, plain,
% 0.58/1.00 (![X0 : $i]:
% 0.58/1.00 ( (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ (suc @ X0))))))
% 0.58/1.00 | (E @ (s @ (s @ 0)) @
% 0.58/1.00 (f @ (suc @ (suc @ (suc @ (suc @ (suc @ X0)))))))
% 0.58/1.00 | (LE @ (f @ X0) @ 0)
% 0.58/1.00 | (E @ 0 @ (f @ (suc @ (suc @ X0)))))),
% 0.58/1.00 inference('sup-', [status(thm)], [zip_derived_cl87, zip_derived_cl22])).
% 0.58/1.00 thf(zip_derived_cl33, plain, (~ (LE @ (f @ z) @ 0)),
% 0.58/1.00 inference('cnf', [status(esa)], [clause_211])).
% 0.58/1.00 thf(zip_derived_cl493, plain,
% 0.58/1.00 (( (E @ 0 @ (f @ (suc @ (suc @ z))))
% 0.58/1.00 | (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ (suc @ (suc @ (suc @ z)))))))
% 0.58/1.00 | (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ (suc @ z)))))))),
% 0.58/1.00 inference('sup-', [status(thm)], [zip_derived_cl261, zip_derived_cl33])).
% 0.58/1.00 thf(zip_derived_cl503, plain,
% 0.58/1.00 ((~ (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ (suc @ (suc @ z))))))
% 0.58/1.00 | (E @ 0 @ (f @ (suc @ (suc @ z))))
% 0.58/1.00 | (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ (suc @ z)))))))),
% 0.58/1.00 inference('clc', [status(thm)], [zip_derived_cl501, zip_derived_cl493])).
% 0.58/1.00 thf(zip_derived_cl40, plain,
% 0.58/1.00 (![X0 : $i]:
% 0.58/1.00 (~ (LE @ (f @ (suc @ (suc @ X0))) @ (s @ (s @ 0)))
% 0.58/1.00 | (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 0.58/1.00 | (LE @ (f @ X0) @ (s @ 0)))),
% 0.58/1.00 inference('cnf', [status(esa)], [clause_18])).
% 0.58/1.00 thf(clause_261, axiom,
% 0.58/1.00 (( ~( LE @ ( f @ B_16 ) @ ( s @ ( s @ ( s @ 0 ) ) ) ) ) |
% 0.58/1.00 ( E @ ( s @ ( s @ 0 ) ) @ ( f @ B_16 ) ) |
% 0.58/1.00 ( LE @ ( f @ B_16 ) @ ( s @ ( s @ 0 ) ) ))).
% 0.58/1.00 thf(zip_derived_cl26, plain,
% 0.58/1.00 (![X0 : $i]:
% 0.58/1.00 (~ (LE @ (f @ X0) @ (s @ (s @ (s @ 0))))
% 0.58/1.00 | (E @ (s @ (s @ 0)) @ (f @ X0))
% 0.58/1.00 | (LE @ (f @ X0) @ (s @ (s @ 0))))),
% 0.58/1.00 inference('cnf', [status(esa)], [clause_261])).
% 0.58/1.00 thf(zip_derived_cl10, plain,
% 0.58/1.00 (![X0 : $i]: (LE @ (f @ X0) @ (s @ (s @ (s @ 0))))),
% 0.58/1.00 inference('cnf', [status(esa)], [clause_421])).
% 0.58/1.00 thf(zip_derived_cl45, plain,
% 0.58/1.00 (![X0 : $i]:
% 0.58/1.00 ( (E @ (s @ (s @ 0)) @ (f @ X0)) | (LE @ (f @ X0) @ (s @ (s @ 0))))),
% 0.58/1.00 inference('demod', [status(thm)], [zip_derived_cl26, zip_derived_cl10])).
% 0.58/1.00 thf(zip_derived_cl53, plain,
% 0.58/1.00 (![X0 : $i]:
% 0.58/1.00 ( (LE @ (f @ X0) @ (s @ 0))
% 0.58/1.00 | (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 0.58/1.00 | (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ X0)))))),
% 0.58/1.00 inference('sup+', [status(thm)], [zip_derived_cl40, zip_derived_cl45])).
% 0.58/1.00 thf(zip_derived_cl22, plain,
% 0.58/1.00 (![X0 : $i]:
% 0.58/1.00 (~ (LE @ (f @ (suc @ (suc @ X0))) @ (s @ 0))
% 0.58/1.00 | (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 0.58/1.00 | (LE @ (f @ X0) @ 0))),
% 0.58/1.00 inference('cnf', [status(esa)], [clause_72])).
% 0.58/1.00 thf(zip_derived_cl219, plain,
% 0.58/1.00 (![X0 : $i]:
% 0.58/1.00 ( (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ (suc @ (suc @ X0))))))
% 0.58/1.00 | (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ (suc @ X0))))))
% 0.58/1.00 | (LE @ (f @ X0) @ 0)
% 0.58/1.00 | (E @ 0 @ (f @ (suc @ (suc @ X0)))))),
% 0.58/1.00 inference('sup-', [status(thm)], [zip_derived_cl53, zip_derived_cl22])).
% 0.58/1.00 thf(zip_derived_cl33, plain, (~ (LE @ (f @ z) @ 0)),
% 0.58/1.00 inference('cnf', [status(esa)], [clause_211])).
% 0.58/1.00 thf(zip_derived_cl467, plain,
% 0.58/1.00 (( (E @ 0 @ (f @ (suc @ (suc @ z))))
% 0.58/1.00 | (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ (suc @ z))))))
% 0.58/1.00 | (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ (suc @ (suc @ z)))))))),
% 0.58/1.00 inference('sup-', [status(thm)], [zip_derived_cl219, zip_derived_cl33])).
% 0.58/1.00 thf(zip_derived_cl504, plain,
% 0.58/1.00 (( (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ (suc @ z))))))
% 0.58/1.00 | (E @ 0 @ (f @ (suc @ (suc @ z)))))),
% 0.58/1.00 inference('clc', [status(thm)], [zip_derived_cl503, zip_derived_cl467])).
% 0.58/1.00 thf(clause_219, axiom,
% 0.58/1.00 (( ~( E @ ( s @ 0 ) @ ( f @ B_30 ) ) ) |
% 0.58/1.00 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ B_30 ) ) ) ) |
% 0.58/1.00 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ A_2 ) ) ) ) |
% 0.58/1.00 ( ~( iLEQ @ ( suc @ A_2 ) @ ( suc @ B_29 ) ) ) |
% 0.58/1.00 ( ~( E @ ( s @ 0 ) @ ( f @ B_29 ) ) ) |
% 0.58/1.00 ( ~( iLEQ @ ( suc @ B_29 ) @ ( suc @ B_30 ) ) ) |
% 0.58/1.00 ( ~( E @ ( f @ B_29 ) @ ( f @ ( suc @ B_29 ) ) ) ) |
% 0.58/1.00 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ ( suc @ B_29 ) ) ) ) ) |
% 0.58/1.00 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ B_29 ) ) ) ) |
% 0.58/1.00 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ ( suc @ A_2 ) ) ) ) ) |
% 0.58/1.00 ( ~( E @ ( f @ A_2 ) @ ( f @ ( suc @ A_2 ) ) ) ) |
% 0.58/1.00 ( ~( E @ ( f @ B_30 ) @ ( f @ ( suc @ B_30 ) ) ) ) |
% 0.58/1.00 ( ~( E @ ( s @ 0 ) @ ( f @ A_2 ) ) ) |
% 0.58/1.00 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ ( suc @ B_30 ) ) ) ) ))).
% 0.58/1.00 thf(zip_derived_cl11, plain,
% 0.58/1.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/1.00 (~ (E @ (s @ 0) @ (f @ X0))
% 0.58/1.00 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 0.58/1.00 | ~ (E @ (s @ 0) @ (f @ (suc @ X1)))
% 0.58/1.00 | ~ (iLEQ @ (suc @ X1) @ (suc @ X2))
% 0.58/1.00 | ~ (E @ (s @ 0) @ (f @ X2))
% 0.58/1.00 | ~ (iLEQ @ (suc @ X2) @ (suc @ X0))
% 0.58/1.00 | ~ (E @ (f @ X2) @ (f @ (suc @ X2)))
% 0.58/1.00 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X2))))
% 0.58/1.00 | ~ (E @ (s @ 0) @ (f @ (suc @ X2)))
% 0.58/1.00 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X1))))
% 0.58/1.00 | ~ (E @ (f @ X1) @ (f @ (suc @ X1)))
% 0.58/1.00 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.58/1.00 | ~ (E @ (s @ 0) @ (f @ X1))
% 0.58/1.00 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0)))))),
% 0.58/1.00 inference('cnf', [status(esa)], [clause_219])).
% 0.58/1.00 thf(zip_derived_cl252, plain,
% 0.58/1.00 (![X0 : $i]:
% 0.58/1.00 (~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 0.58/1.00 | ~ (E @ (s @ 0) @ (f @ X0))
% 0.58/1.00 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.58/1.00 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.58/1.00 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 0.58/1.00 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 0.58/1.00 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 0.58/1.00 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.58/1.00 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 0.58/1.00 | ~ (E @ (s @ 0) @ (f @ X0))
% 0.58/1.00 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 0.58/1.00 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 0.58/1.00 | ~ (E @ (s @ 0) @ (f @ X0)))),
% 0.58/1.00 inference('eq_fact', [status(thm)], [zip_derived_cl11])).
% 0.58/1.00 thf(zip_derived_cl253, plain,
% 0.58/1.00 (![X0 : $i]:
% 0.58/1.00 (~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 0.58/1.00 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 0.58/1.00 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.58/1.00 | ~ (E @ (s @ 0) @ (f @ X0))
% 0.58/1.00 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0)))))),
% 0.58/1.00 inference('simplify', [status(thm)], [zip_derived_cl252])).
% 0.58/1.00 thf(clause_37, axiom,
% 0.58/1.00 (( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ ( suc @ A_2 ) ) ) ) ) |
% 0.58/1.00 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ A_2 ) ) ) ) |
% 0.58/1.00 ( ~( E @ ( f @ A_2 ) @ ( f @ ( suc @ A_2 ) ) ) ) |
% 0.58/1.00 ( ~( E @ ( s @ 0 ) @ ( f @ A_2 ) ) ) |
% 0.58/1.00 ( iLEQ @ ( suc @ A_2 ) @ ( suc @ A_2 ) ))).
% 0.58/1.00 thf(zip_derived_cl14, plain,
% 0.58/1.00 (![X0 : $i]:
% 0.58/1.00 (~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 0.58/1.00 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 0.58/1.00 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.58/1.00 | ~ (E @ (s @ 0) @ (f @ X0))
% 0.58/1.00 | (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 0.58/1.00 inference('cnf', [status(esa)], [clause_37])).
% 0.58/1.00 thf(clause_60, axiom,
% 0.58/1.00 (( ~( E @ ( s @ 0 ) @ ( f @ A_2 ) ) ) |
% 0.58/1.00 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ A_2 ) ) ) ) |
% 0.58/1.00 ( E @ ( f @ A_2 ) @ ( f @ ( suc @ A_2 ) ) ) |
% 0.58/1.00 ( iLEQ @ ( suc @ A_2 ) @ ( suc @ A_2 ) ))).
% 0.58/1.00 thf(zip_derived_cl20, plain,
% 0.58/1.00 (![X0 : $i]:
% 0.58/1.00 (~ (E @ (s @ 0) @ (f @ X0))
% 0.58/1.00 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 0.58/1.00 | (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.58/1.00 | (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 0.58/1.00 inference('cnf', [status(esa)], [clause_60])).
% 0.58/1.00 thf(zip_derived_cl79, plain,
% 0.58/1.00 (![X0 : $i]:
% 0.58/1.00 ( (iLEQ @ (suc @ X0) @ (suc @ X0))
% 0.58/1.00 | ~ (E @ (s @ 0) @ (f @ X0))
% 0.58/1.00 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 0.58/1.00 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0)))))),
% 0.58/1.00 inference('clc', [status(thm)], [zip_derived_cl14, zip_derived_cl20])).
% 0.58/1.00 thf(zip_derived_cl256, plain,
% 0.58/1.00 (![X0 : $i]:
% 0.58/1.00 (~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 0.58/1.00 | ~ (E @ (s @ 0) @ (f @ X0))
% 0.58/1.00 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.58/1.00 | ~ (E @ (s @ 0) @ (f @ (suc @ X0))))),
% 0.58/1.00 inference('clc', [status(thm)], [zip_derived_cl253, zip_derived_cl79])).
% 0.58/1.00 thf(clause_340, axiom,
% 0.58/1.00 (( ~( E @ ( s @ 0 ) @ ( f @ B_30 ) ) ) |
% 0.58/1.00 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ B_30 ) ) ) ) |
% 0.58/1.00 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ A_2 ) ) ) ) |
% 0.58/1.00 ( ~( iLEQ @ ( suc @ A_2 ) @ ( suc @ B_29 ) ) ) |
% 0.58/1.00 ( ~( E @ ( s @ 0 ) @ ( f @ B_29 ) ) ) |
% 0.58/1.00 ( ~( iLEQ @ ( suc @ B_29 ) @ ( suc @ B_30 ) ) ) |
% 0.58/1.00 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ B_29 ) ) ) ) |
% 0.58/1.00 ( ~( E @ ( s @ 0 ) @ ( f @ A_2 ) ) ) |
% 0.58/1.00 ( E @ ( f @ A_2 ) @ ( f @ ( suc @ A_2 ) ) ) |
% 0.58/1.00 ( E @ ( f @ B_29 ) @ ( f @ ( suc @ B_29 ) ) ) |
% 0.58/1.00 ( E @ ( f @ B_30 ) @ ( f @ ( suc @ B_30 ) ) ))).
% 0.58/1.00 thf(zip_derived_cl28, plain,
% 0.58/1.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/1.00 (~ (E @ (s @ 0) @ (f @ X0))
% 0.58/1.00 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 0.58/1.00 | ~ (E @ (s @ 0) @ (f @ (suc @ X1)))
% 0.58/1.00 | ~ (iLEQ @ (suc @ X1) @ (suc @ X2))
% 0.58/1.00 | ~ (E @ (s @ 0) @ (f @ X2))
% 0.58/1.00 | ~ (iLEQ @ (suc @ X2) @ (suc @ X0))
% 0.58/1.00 | ~ (E @ (s @ 0) @ (f @ (suc @ X2)))
% 0.58/1.00 | ~ (E @ (s @ 0) @ (f @ X1))
% 0.58/1.00 | (E @ (f @ X1) @ (f @ (suc @ X1)))
% 0.58/1.00 | (E @ (f @ X2) @ (f @ (suc @ X2)))
% 0.58/1.00 | (E @ (f @ X0) @ (f @ (suc @ X0))))),
% 0.58/1.00 inference('cnf', [status(esa)], [clause_340])).
% 0.58/1.00 thf(zip_derived_cl181, plain,
% 0.58/1.00 (![X0 : $i]:
% 0.58/1.00 ( (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.58/1.00 | (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.58/1.00 | (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.58/1.00 | ~ (E @ (s @ 0) @ (f @ X0))
% 0.58/1.00 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 0.58/1.00 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 0.58/1.00 | ~ (E @ (s @ 0) @ (f @ X0))
% 0.58/1.00 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 0.58/1.00 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 0.58/1.00 | ~ (E @ (s @ 0) @ (f @ X0)))),
% 0.58/1.00 inference('eq_fact', [status(thm)], [zip_derived_cl28])).
% 0.58/1.00 thf(zip_derived_cl182, plain,
% 0.58/1.00 (![X0 : $i]:
% 0.58/1.00 (~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 0.58/1.00 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 0.58/1.00 | ~ (E @ (s @ 0) @ (f @ X0))
% 0.58/1.00 | (E @ (f @ X0) @ (f @ (suc @ X0))))),
% 0.58/1.00 inference('simplify', [status(thm)], [zip_derived_cl181])).
% 0.58/1.00 thf(zip_derived_cl20, plain,
% 0.58/1.00 (![X0 : $i]:
% 0.58/1.00 (~ (E @ (s @ 0) @ (f @ X0))
% 0.58/1.00 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 0.58/1.00 | (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.58/1.00 | (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 0.58/1.00 inference('cnf', [status(esa)], [clause_60])).
% 0.58/1.00 thf(zip_derived_cl190, plain,
% 0.58/1.00 (![X0 : $i]:
% 0.58/1.00 ( (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.58/1.00 | ~ (E @ (s @ 0) @ (f @ X0))
% 0.58/1.00 | ~ (E @ (s @ 0) @ (f @ (suc @ X0))))),
% 0.58/1.00 inference('clc', [status(thm)], [zip_derived_cl182, zip_derived_cl20])).
% 0.58/1.00 thf(zip_derived_cl257, plain,
% 0.58/1.00 (![X0 : $i]:
% 0.58/1.00 (~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 0.58/1.00 | ~ (E @ (s @ 0) @ (f @ X0))
% 0.58/1.00 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0)))))),
% 0.58/1.00 inference('clc', [status(thm)], [zip_derived_cl256, zip_derived_cl190])).
% 0.58/1.00 thf(zip_derived_cl505, plain,
% 0.58/1.00 (( (E @ 0 @ (f @ (suc @ (suc @ z))))
% 0.58/1.00 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ z))))
% 0.58/1.00 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ z))))))),
% 0.58/1.00 inference('sup-', [status(thm)], [zip_derived_cl504, zip_derived_cl257])).
% 0.58/1.00 thf(zip_derived_cl95, plain,
% 0.58/1.00 (![X0 : $i]:
% 0.58/1.00 ( (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ X0))))
% 0.58/1.00 | (LE @ (f @ X0) @ (s @ (s @ 0))))),
% 0.58/1.00 inference('demod', [status(thm)], [zip_derived_cl5, zip_derived_cl10])).
% 0.58/1.00 thf(clause_326, axiom,
% 0.58/1.00 (( ~( LE @ ( f @ B_28 ) @ ( s @ ( s @ 0 ) ) ) ) |
% 0.58/1.00 ( E @ ( s @ 0 ) @ ( f @ B_28 ) ) | ( LE @ ( f @ B_28 ) @ ( s @ 0 ) ))).
% 0.58/1.00 thf(zip_derived_cl9, plain,
% 0.58/1.00 (![X0 : $i]:
% 0.58/1.00 (~ (LE @ (f @ X0) @ (s @ (s @ 0)))
% 0.58/1.00 | (E @ (s @ 0) @ (f @ X0))
% 0.58/1.00 | (LE @ (f @ X0) @ (s @ 0)))),
% 0.58/1.00 inference('cnf', [status(esa)], [clause_326])).
% 0.58/1.00 thf(zip_derived_cl96, plain,
% 0.58/1.00 (![X0 : $i]:
% 0.58/1.00 ( (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ X0))))
% 0.58/1.00 | (LE @ (f @ X0) @ (s @ 0))
% 0.58/1.00 | (E @ (s @ 0) @ (f @ X0)))),
% 0.58/1.00 inference('sup-', [status(thm)], [zip_derived_cl95, zip_derived_cl9])).
% 0.58/1.00 thf(zip_derived_cl22, plain,
% 0.58/1.00 (![X0 : $i]:
% 0.58/1.00 (~ (LE @ (f @ (suc @ (suc @ X0))) @ (s @ 0))
% 0.58/1.00 | (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 0.58/1.00 | (LE @ (f @ X0) @ 0))),
% 0.58/1.00 inference('cnf', [status(esa)], [clause_72])).
% 0.58/1.00 thf(zip_derived_cl121, plain,
% 0.58/1.00 (![X0 : $i]:
% 0.58/1.00 ( (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 0.58/1.00 | (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ (suc @ (suc @ X0))))))
% 0.58/1.00 | (LE @ (f @ X0) @ 0)
% 0.58/1.00 | (E @ 0 @ (f @ (suc @ (suc @ X0)))))),
% 0.58/1.00 inference('sup-', [status(thm)], [zip_derived_cl96, zip_derived_cl22])).
% 0.58/1.00 thf(zip_derived_cl33, plain, (~ (LE @ (f @ z) @ 0)),
% 0.58/1.00 inference('cnf', [status(esa)], [clause_211])).
% 0.58/1.00 thf(zip_derived_cl389, plain,
% 0.58/1.00 (( (E @ 0 @ (f @ (suc @ (suc @ z))))
% 0.58/1.00 | (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ (suc @ (suc @ z))))))
% 0.58/1.00 | (E @ (s @ 0) @ (f @ (suc @ (suc @ z)))))),
% 0.58/1.00 inference('sup-', [status(thm)], [zip_derived_cl121, zip_derived_cl33])).
% 0.58/1.00 thf(zip_derived_cl259, plain,
% 0.58/1.00 (![X0 : $i]:
% 0.58/1.00 (~ (E @ (s @ (s @ 0)) @ (f @ X0))
% 0.58/1.00 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 0.58/1.00 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ X0)))))),
% 0.58/1.00 inference('clc', [status(thm)], [zip_derived_cl258, zip_derived_cl126])).
% 0.58/1.00 thf(zip_derived_cl401, plain,
% 0.58/1.00 (( (E @ (s @ 0) @ (f @ (suc @ (suc @ z))))
% 0.58/1.00 | (E @ 0 @ (f @ (suc @ (suc @ z))))
% 0.58/1.00 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ (suc @ z)))))
% 0.58/1.00 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ z)))))),
% 0.58/1.00 inference('sup-', [status(thm)], [zip_derived_cl389, zip_derived_cl259])).
% 0.58/1.00 thf(zip_derived_cl84, plain,
% 0.58/1.00 (![X0 : $i]:
% 0.58/1.00 ( (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 0.58/1.00 | (LE @ (f @ X0) @ (s @ (s @ 0))))),
% 0.58/1.00 inference('demod', [status(thm)], [zip_derived_cl3, zip_derived_cl10])).
% 0.58/1.00 thf(zip_derived_cl9, plain,
% 0.58/1.00 (![X0 : $i]:
% 0.58/1.00 (~ (LE @ (f @ X0) @ (s @ (s @ 0)))
% 0.58/1.00 | (E @ (s @ 0) @ (f @ X0))
% 0.58/1.00 | (LE @ (f @ X0) @ (s @ 0)))),
% 0.58/1.00 inference('cnf', [status(esa)], [clause_326])).
% 0.58/1.00 thf(zip_derived_cl85, plain,
% 0.58/1.00 (![X0 : $i]:
% 0.58/1.00 ( (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 0.58/1.00 | (LE @ (f @ X0) @ (s @ 0))
% 0.58/1.00 | (E @ (s @ 0) @ (f @ X0)))),
% 0.58/1.00 inference('sup-', [status(thm)], [zip_derived_cl84, zip_derived_cl9])).
% 0.58/1.00 thf(zip_derived_cl22, plain,
% 0.58/1.00 (![X0 : $i]:
% 0.58/1.00 (~ (LE @ (f @ (suc @ (suc @ X0))) @ (s @ 0))
% 0.58/1.00 | (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 0.58/1.00 | (LE @ (f @ X0) @ 0))),
% 0.58/1.00 inference('cnf', [status(esa)], [clause_72])).
% 0.58/1.00 thf(zip_derived_cl103, plain,
% 0.58/1.00 (![X0 : $i]:
% 0.58/1.00 ( (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 0.58/1.00 | (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 0.58/1.00 | (LE @ (f @ X0) @ 0)
% 0.58/1.00 | (E @ 0 @ (f @ (suc @ (suc @ X0)))))),
% 0.58/1.00 inference('sup-', [status(thm)], [zip_derived_cl85, zip_derived_cl22])).
% 0.58/1.00 thf(zip_derived_cl33, plain, (~ (LE @ (f @ z) @ 0)),
% 0.58/1.00 inference('cnf', [status(esa)], [clause_211])).
% 0.58/1.00 thf(zip_derived_cl358, plain,
% 0.58/1.00 (( (E @ 0 @ (f @ (suc @ (suc @ z))))
% 0.58/1.00 | (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ (suc @ z)))))
% 0.58/1.00 | (E @ (s @ 0) @ (f @ (suc @ (suc @ z)))))),
% 0.58/1.00 inference('sup-', [status(thm)], [zip_derived_cl103, zip_derived_cl33])).
% 0.58/1.00 thf(zip_derived_cl403, plain,
% 0.58/1.00 ((~ (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ z))))
% 0.58/1.00 | (E @ 0 @ (f @ (suc @ (suc @ z))))
% 0.58/1.00 | (E @ (s @ 0) @ (f @ (suc @ (suc @ z)))))),
% 0.58/1.00 inference('clc', [status(thm)], [zip_derived_cl401, zip_derived_cl358])).
% 0.58/1.00 thf(zip_derived_cl45, plain,
% 0.58/1.00 (![X0 : $i]:
% 0.58/1.00 ( (E @ (s @ (s @ 0)) @ (f @ X0)) | (LE @ (f @ X0) @ (s @ (s @ 0))))),
% 0.58/1.00 inference('demod', [status(thm)], [zip_derived_cl26, zip_derived_cl10])).
% 0.58/1.00 thf(zip_derived_cl9, plain,
% 0.58/1.00 (![X0 : $i]:
% 0.58/1.00 (~ (LE @ (f @ X0) @ (s @ (s @ 0)))
% 0.58/1.00 | (E @ (s @ 0) @ (f @ X0))
% 0.58/1.00 | (LE @ (f @ X0) @ (s @ 0)))),
% 0.58/1.00 inference('cnf', [status(esa)], [clause_326])).
% 0.58/1.00 thf(zip_derived_cl46, plain,
% 0.58/1.00 (![X0 : $i]:
% 0.58/1.00 ( (E @ (s @ (s @ 0)) @ (f @ X0))
% 0.58/1.00 | (LE @ (f @ X0) @ (s @ 0))
% 0.58/1.00 | (E @ (s @ 0) @ (f @ X0)))),
% 0.58/1.00 inference('sup-', [status(thm)], [zip_derived_cl45, zip_derived_cl9])).
% 0.58/1.00 thf(zip_derived_cl22, plain,
% 0.58/1.00 (![X0 : $i]:
% 0.58/1.00 (~ (LE @ (f @ (suc @ (suc @ X0))) @ (s @ 0))
% 0.58/1.00 | (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 0.58/1.00 | (LE @ (f @ X0) @ 0))),
% 0.58/1.00 inference('cnf', [status(esa)], [clause_72])).
% 0.58/1.00 thf(zip_derived_cl56, plain,
% 0.58/1.00 (![X0 : $i]:
% 0.58/1.00 ( (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 0.58/1.00 | (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ X0))))
% 0.58/1.00 | (LE @ (f @ X0) @ 0)
% 0.58/1.00 | (E @ 0 @ (f @ (suc @ (suc @ X0)))))),
% 0.58/1.00 inference('sup-', [status(thm)], [zip_derived_cl46, zip_derived_cl22])).
% 0.58/1.00 thf(zip_derived_cl33, plain, (~ (LE @ (f @ z) @ 0)),
% 0.58/1.00 inference('cnf', [status(esa)], [clause_211])).
% 0.58/1.00 thf(zip_derived_cl266, plain,
% 0.58/1.00 (( (E @ 0 @ (f @ (suc @ (suc @ z))))
% 0.58/1.00 | (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ z))))
% 0.58/1.00 | (E @ (s @ 0) @ (f @ (suc @ (suc @ z)))))),
% 0.58/1.00 inference('sup-', [status(thm)], [zip_derived_cl56, zip_derived_cl33])).
% 0.58/1.00 thf(zip_derived_cl404, plain,
% 0.58/1.00 (( (E @ (s @ 0) @ (f @ (suc @ (suc @ z))))
% 0.58/1.00 | (E @ 0 @ (f @ (suc @ (suc @ z)))))),
% 0.58/1.00 inference('clc', [status(thm)], [zip_derived_cl403, zip_derived_cl266])).
% 0.58/1.00 thf(zip_derived_cl507, plain,
% 0.58/1.00 ((~ (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ z)))))
% 0.58/1.00 | (E @ 0 @ (f @ (suc @ (suc @ z)))))),
% 0.58/1.00 inference('clc', [status(thm)], [zip_derived_cl505, zip_derived_cl404])).
% 0.58/1.00 thf(zip_derived_cl95, plain,
% 0.58/1.00 (![X0 : $i]:
% 0.58/1.00 ( (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ X0))))
% 0.58/1.00 | (LE @ (f @ X0) @ (s @ (s @ 0))))),
% 0.58/1.00 inference('demod', [status(thm)], [zip_derived_cl5, zip_derived_cl10])).
% 0.58/1.00 thf(clause_138, axiom,
% 0.58/1.00 (( ~( LE @ ( f @ ( suc @ B_28 ) ) @ ( s @ ( s @ 0 ) ) ) ) |
% 0.58/1.00 ( E @ ( s @ 0 ) @ ( f @ ( suc @ B_28 ) ) ) |
% 0.58/1.00 ( LE @ ( f @ B_28 ) @ ( s @ 0 ) ))).
% 0.58/1.00 thf(zip_derived_cl35, plain,
% 0.58/1.00 (![X0 : $i]:
% 0.58/1.00 (~ (LE @ (f @ (suc @ X0)) @ (s @ (s @ 0)))
% 0.58/1.00 | (E @ (s @ 0) @ (f @ (suc @ X0)))
% 0.58/1.00 | (LE @ (f @ X0) @ (s @ 0)))),
% 0.58/1.00 inference('cnf', [status(esa)], [clause_138])).
% 0.58/1.00 thf(zip_derived_cl97, plain,
% 0.58/1.00 (![X0 : $i]:
% 0.58/1.00 ( (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 0.58/1.00 | (LE @ (f @ X0) @ (s @ 0))
% 0.58/1.00 | (E @ (s @ 0) @ (f @ (suc @ X0))))),
% 0.58/1.00 inference('sup-', [status(thm)], [zip_derived_cl95, zip_derived_cl35])).
% 0.58/1.00 thf(zip_derived_cl22, plain,
% 0.58/1.00 (![X0 : $i]:
% 0.58/1.00 (~ (LE @ (f @ (suc @ (suc @ X0))) @ (s @ 0))
% 0.58/1.00 | (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 0.58/1.00 | (LE @ (f @ X0) @ 0))),
% 0.58/1.00 inference('cnf', [status(esa)], [clause_72])).
% 0.58/1.00 thf(zip_derived_cl233, plain,
% 0.58/1.00 (![X0 : $i]:
% 0.58/1.00 ( (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 0.58/1.00 | (E @ (s @ (s @ 0)) @
% 0.58/1.00 (f @ (suc @ (suc @ (suc @ (suc @ (suc @ X0)))))))
% 0.58/1.00 | (LE @ (f @ X0) @ 0)
% 0.58/1.00 | (E @ 0 @ (f @ (suc @ (suc @ X0)))))),
% 0.58/1.00 inference('sup-', [status(thm)], [zip_derived_cl97, zip_derived_cl22])).
% 0.58/1.00 thf(zip_derived_cl33, plain, (~ (LE @ (f @ z) @ 0)),
% 0.58/1.00 inference('cnf', [status(esa)], [clause_211])).
% 0.58/1.00 thf(zip_derived_cl477, plain,
% 0.58/1.00 (( (E @ 0 @ (f @ (suc @ (suc @ z))))
% 0.58/1.00 | (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ (suc @ (suc @ (suc @ z)))))))
% 0.58/1.00 | (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ z))))))),
% 0.58/1.00 inference('sup-', [status(thm)], [zip_derived_cl233, zip_derived_cl33])).
% 0.58/1.00 thf(zip_derived_cl259, plain,
% 0.58/1.00 (![X0 : $i]:
% 0.58/1.00 (~ (E @ (s @ (s @ 0)) @ (f @ X0))
% 0.58/1.00 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 0.58/1.00 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ X0)))))),
% 0.58/1.00 inference('clc', [status(thm)], [zip_derived_cl258, zip_derived_cl126])).
% 0.58/1.00 thf(zip_derived_cl479, plain,
% 0.58/1.00 (( (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ z)))))
% 0.58/1.00 | (E @ 0 @ (f @ (suc @ (suc @ z))))
% 0.58/1.00 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ (suc @ (suc @ z))))))
% 0.58/1.00 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ (suc @ z))))))),
% 0.58/1.00 inference('sup-', [status(thm)], [zip_derived_cl477, zip_derived_cl259])).
% 0.58/1.00 thf(zip_derived_cl84, plain,
% 0.58/1.00 (![X0 : $i]:
% 0.58/1.00 ( (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 0.58/1.00 | (LE @ (f @ X0) @ (s @ (s @ 0))))),
% 0.58/1.00 inference('demod', [status(thm)], [zip_derived_cl3, zip_derived_cl10])).
% 0.58/1.00 thf(zip_derived_cl35, plain,
% 0.58/1.00 (![X0 : $i]:
% 0.58/1.00 (~ (LE @ (f @ (suc @ X0)) @ (s @ (s @ 0)))
% 0.58/1.00 | (E @ (s @ 0) @ (f @ (suc @ X0)))
% 0.58/1.00 | (LE @ (f @ X0) @ (s @ 0)))),
% 0.58/1.00 inference('cnf', [status(esa)], [clause_138])).
% 0.58/1.00 thf(zip_derived_cl86, plain,
% 0.58/1.00 (![X0 : $i]:
% 0.58/1.00 ( (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ X0))))
% 0.58/1.00 | (LE @ (f @ X0) @ (s @ 0))
% 0.58/1.00 | (E @ (s @ 0) @ (f @ (suc @ X0))))),
% 0.58/1.00 inference('sup-', [status(thm)], [zip_derived_cl84, zip_derived_cl35])).
% 0.58/1.00 thf(zip_derived_cl22, plain,
% 0.58/1.00 (![X0 : $i]:
% 0.58/1.00 (~ (LE @ (f @ (suc @ (suc @ X0))) @ (s @ 0))
% 0.58/1.00 | (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 0.58/1.00 | (LE @ (f @ X0) @ 0))),
% 0.58/1.00 inference('cnf', [status(esa)], [clause_72])).
% 0.58/1.00 thf(zip_derived_cl192, plain,
% 0.58/1.00 (![X0 : $i]:
% 0.58/1.00 ( (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 0.58/1.00 | (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ (suc @ (suc @ X0))))))
% 0.58/1.00 | (LE @ (f @ X0) @ 0)
% 0.58/1.00 | (E @ 0 @ (f @ (suc @ (suc @ X0)))))),
% 0.58/1.00 inference('sup-', [status(thm)], [zip_derived_cl86, zip_derived_cl22])).
% 0.58/1.00 thf(zip_derived_cl33, plain, (~ (LE @ (f @ z) @ 0)),
% 0.58/1.00 inference('cnf', [status(esa)], [clause_211])).
% 0.58/1.00 thf(zip_derived_cl445, plain,
% 0.58/1.00 (( (E @ 0 @ (f @ (suc @ (suc @ z))))
% 0.58/1.00 | (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ (suc @ (suc @ z))))))
% 0.58/1.00 | (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ z))))))),
% 0.58/1.00 inference('sup-', [status(thm)], [zip_derived_cl192, zip_derived_cl33])).
% 0.58/1.00 thf(zip_derived_cl481, plain,
% 0.58/1.00 ((~ (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ (suc @ z)))))
% 0.58/1.00 | (E @ 0 @ (f @ (suc @ (suc @ z))))
% 0.58/1.00 | (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ z))))))),
% 0.58/1.00 inference('clc', [status(thm)], [zip_derived_cl479, zip_derived_cl445])).
% 0.58/1.00 thf(zip_derived_cl45, plain,
% 0.58/1.00 (![X0 : $i]:
% 0.58/1.00 ( (E @ (s @ (s @ 0)) @ (f @ X0)) | (LE @ (f @ X0) @ (s @ (s @ 0))))),
% 0.58/1.00 inference('demod', [status(thm)], [zip_derived_cl26, zip_derived_cl10])).
% 0.58/1.00 thf(zip_derived_cl35, plain,
% 0.58/1.00 (![X0 : $i]:
% 0.58/1.00 (~ (LE @ (f @ (suc @ X0)) @ (s @ (s @ 0)))
% 0.58/1.00 | (E @ (s @ 0) @ (f @ (suc @ X0)))
% 0.58/1.00 | (LE @ (f @ X0) @ (s @ 0)))),
% 0.58/1.00 inference('cnf', [status(esa)], [clause_138])).
% 0.58/1.00 thf(zip_derived_cl47, plain,
% 0.58/1.00 (![X0 : $i]:
% 0.58/1.00 ( (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 0.58/1.00 | (LE @ (f @ X0) @ (s @ 0))
% 0.58/1.00 | (E @ (s @ 0) @ (f @ (suc @ X0))))),
% 0.58/1.00 inference('sup-', [status(thm)], [zip_derived_cl45, zip_derived_cl35])).
% 0.58/1.00 thf(zip_derived_cl22, plain,
% 0.58/1.00 (![X0 : $i]:
% 0.58/1.00 (~ (LE @ (f @ (suc @ (suc @ X0))) @ (s @ 0))
% 0.58/1.00 | (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 0.58/1.00 | (LE @ (f @ X0) @ 0))),
% 0.58/1.00 inference('cnf', [status(esa)], [clause_72])).
% 0.58/1.00 thf(zip_derived_cl62, plain,
% 0.58/1.00 (![X0 : $i]:
% 0.58/1.00 ( (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 0.58/1.00 | (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 0.58/1.00 | (LE @ (f @ X0) @ 0)
% 0.58/1.00 | (E @ 0 @ (f @ (suc @ (suc @ X0)))))),
% 0.58/1.00 inference('sup-', [status(thm)], [zip_derived_cl47, zip_derived_cl22])).
% 0.58/1.00 thf(zip_derived_cl33, plain, (~ (LE @ (f @ z) @ 0)),
% 0.58/1.00 inference('cnf', [status(esa)], [clause_211])).
% 0.58/1.00 thf(zip_derived_cl312, plain,
% 0.58/1.00 (( (E @ 0 @ (f @ (suc @ (suc @ z))))
% 0.58/1.00 | (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ (suc @ z)))))
% 0.58/1.00 | (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ z))))))),
% 0.58/1.00 inference('sup-', [status(thm)], [zip_derived_cl62, zip_derived_cl33])).
% 0.58/1.00 thf(zip_derived_cl482, plain,
% 0.58/1.00 (( (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ z)))))
% 0.58/1.00 | (E @ 0 @ (f @ (suc @ (suc @ z)))))),
% 0.58/1.00 inference('clc', [status(thm)], [zip_derived_cl481, zip_derived_cl312])).
% 0.58/1.00 thf(zip_derived_cl508, plain, ( (E @ 0 @ (f @ (suc @ (suc @ z))))),
% 0.58/1.00 inference('clc', [status(thm)], [zip_derived_cl507, zip_derived_cl482])).
% 0.58/1.00 thf(zip_derived_cl510, plain,
% 0.58/1.00 ((~ (E @ 0 @ (f @ z)) | ~ (E @ 0 @ (f @ (suc @ z))))),
% 0.58/1.00 inference('sup+', [status(thm)], [zip_derived_cl247, zip_derived_cl508])).
% 0.58/1.00 thf(zip_derived_cl98, plain,
% 0.58/1.00 (![X0 : $i]:
% 0.58/1.00 ( (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ (suc @ (suc @ X0))))))
% 0.58/1.00 | (LE @ (f @ X0) @ (s @ 0))
% 0.58/1.00 | (E @ (s @ 0) @ (f @ (suc @ (suc @ X0)))))),
% 0.58/1.00 inference('sup-', [status(thm)], [zip_derived_cl95, zip_derived_cl40])).
% 0.58/1.00 thf(clause_307, axiom,
% 0.58/1.00 (( ~( LE @ ( f @ B_35 ) @ ( s @ 0 ) ) ) | ( E @ 0 @ ( f @ B_35 ) ) |
% 0.58/1.00 ( LE @ ( f @ B_35 ) @ 0 ))).
% 0.58/1.00 thf(zip_derived_cl39, plain,
% 0.58/1.00 (![X0 : $i]:
% 0.58/1.00 (~ (LE @ (f @ X0) @ (s @ 0))
% 0.58/1.00 | (E @ 0 @ (f @ X0))
% 0.58/1.00 | (LE @ (f @ X0) @ 0))),
% 0.58/1.00 inference('cnf', [status(esa)], [clause_307])).
% 0.58/1.00 thf(zip_derived_cl277, plain,
% 0.58/1.00 (![X0 : $i]:
% 0.58/1.00 ( (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 0.58/1.00 | (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ (suc @ (suc @ X0))))))
% 0.58/1.00 | (LE @ (f @ X0) @ 0)
% 0.58/1.00 | (E @ 0 @ (f @ X0)))),
% 0.58/1.00 inference('sup-', [status(thm)], [zip_derived_cl98, zip_derived_cl39])).
% 0.58/1.00 thf(zip_derived_cl33, plain, (~ (LE @ (f @ z) @ 0)),
% 0.58/1.00 inference('cnf', [status(esa)], [clause_211])).
% 0.58/1.00 thf(zip_derived_cl391, plain,
% 0.58/1.00 (( (E @ 0 @ (f @ z))
% 0.58/1.00 | (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ (suc @ (suc @ z))))))
% 0.58/1.00 | (E @ (s @ 0) @ (f @ (suc @ (suc @ z)))))),
% 0.58/1.00 inference('sup-', [status(thm)], [zip_derived_cl277, zip_derived_cl33])).
% 0.58/1.00 thf(zip_derived_cl259, plain,
% 0.58/1.00 (![X0 : $i]:
% 0.58/1.00 (~ (E @ (s @ (s @ 0)) @ (f @ X0))
% 0.58/1.00 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 0.58/1.00 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ X0)))))),
% 0.58/1.00 inference('clc', [status(thm)], [zip_derived_cl258, zip_derived_cl126])).
% 0.58/1.00 thf(zip_derived_cl393, plain,
% 0.58/1.00 (( (E @ (s @ 0) @ (f @ (suc @ (suc @ z))))
% 0.58/1.00 | (E @ 0 @ (f @ z))
% 0.58/1.00 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ (suc @ z)))))
% 0.58/1.00 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ z)))))),
% 0.58/1.00 inference('sup-', [status(thm)], [zip_derived_cl391, zip_derived_cl259])).
% 0.58/1.00 thf(zip_derived_cl87, plain,
% 0.58/1.00 (![X0 : $i]:
% 0.58/1.00 ( (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 0.58/1.00 | (LE @ (f @ X0) @ (s @ 0))
% 0.58/1.00 | (E @ (s @ 0) @ (f @ (suc @ (suc @ X0)))))),
% 0.58/1.00 inference('sup-', [status(thm)], [zip_derived_cl84, zip_derived_cl40])).
% 0.58/1.00 thf(zip_derived_cl39, plain,
% 0.58/1.00 (![X0 : $i]:
% 0.58/1.00 (~ (LE @ (f @ X0) @ (s @ 0))
% 0.58/1.00 | (E @ 0 @ (f @ X0))
% 0.58/1.00 | (LE @ (f @ X0) @ 0))),
% 0.58/1.00 inference('cnf', [status(esa)], [clause_307])).
% 0.58/1.00 thf(zip_derived_cl260, plain,
% 0.58/1.00 (![X0 : $i]:
% 0.58/1.00 ( (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 0.58/1.00 | (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 0.58/1.00 | (LE @ (f @ X0) @ 0)
% 0.58/1.00 | (E @ 0 @ (f @ X0)))),
% 0.58/1.00 inference('sup-', [status(thm)], [zip_derived_cl87, zip_derived_cl39])).
% 0.58/1.00 thf(zip_derived_cl33, plain, (~ (LE @ (f @ z) @ 0)),
% 0.58/1.00 inference('cnf', [status(esa)], [clause_211])).
% 0.58/1.00 thf(zip_derived_cl356, plain,
% 0.58/1.00 (( (E @ 0 @ (f @ z))
% 0.58/1.00 | (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ (suc @ z)))))
% 0.58/1.00 | (E @ (s @ 0) @ (f @ (suc @ (suc @ z)))))),
% 0.58/1.00 inference('sup-', [status(thm)], [zip_derived_cl260, zip_derived_cl33])).
% 0.58/1.00 thf(zip_derived_cl395, plain,
% 0.58/1.00 ((~ (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ z))))
% 0.58/1.00 | (E @ 0 @ (f @ z))
% 0.58/1.00 | (E @ (s @ 0) @ (f @ (suc @ (suc @ z)))))),
% 0.58/1.00 inference('clc', [status(thm)], [zip_derived_cl393, zip_derived_cl356])).
% 0.58/1.00 thf(zip_derived_cl53, plain,
% 0.58/1.00 (![X0 : $i]:
% 0.58/1.00 ( (LE @ (f @ X0) @ (s @ 0))
% 0.58/1.00 | (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 0.58/1.00 | (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ X0)))))),
% 0.58/1.00 inference('sup+', [status(thm)], [zip_derived_cl40, zip_derived_cl45])).
% 0.58/1.00 thf(zip_derived_cl39, plain,
% 0.58/1.00 (![X0 : $i]:
% 0.58/1.00 (~ (LE @ (f @ X0) @ (s @ 0))
% 0.58/1.00 | (E @ 0 @ (f @ X0))
% 0.58/1.00 | (LE @ (f @ X0) @ 0))),
% 0.58/1.00 inference('cnf', [status(esa)], [clause_307])).
% 0.58/1.00 thf(zip_derived_cl218, plain,
% 0.58/1.00 (![X0 : $i]:
% 0.58/1.00 ( (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ X0))))
% 0.58/1.00 | (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 0.58/1.00 | (LE @ (f @ X0) @ 0)
% 0.58/1.00 | (E @ 0 @ (f @ X0)))),
% 0.58/1.00 inference('sup-', [status(thm)], [zip_derived_cl53, zip_derived_cl39])).
% 0.58/1.00 thf(zip_derived_cl33, plain, (~ (LE @ (f @ z) @ 0)),
% 0.58/1.00 inference('cnf', [status(esa)], [clause_211])).
% 0.58/1.00 thf(zip_derived_cl314, plain,
% 0.58/1.00 (( (E @ 0 @ (f @ z))
% 0.58/1.00 | (E @ (s @ 0) @ (f @ (suc @ (suc @ z))))
% 0.58/1.00 | (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ z)))))),
% 0.58/1.00 inference('sup-', [status(thm)], [zip_derived_cl218, zip_derived_cl33])).
% 0.58/1.00 thf(zip_derived_cl396, plain,
% 0.58/1.00 (( (E @ (s @ 0) @ (f @ (suc @ (suc @ z)))) | (E @ 0 @ (f @ z)))),
% 0.58/1.00 inference('clc', [status(thm)], [zip_derived_cl395, zip_derived_cl314])).
% 0.58/1.00 thf(zip_derived_cl257, plain,
% 0.58/1.00 (![X0 : $i]:
% 0.58/1.00 (~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 0.58/1.00 | ~ (E @ (s @ 0) @ (f @ X0))
% 0.58/1.00 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0)))))),
% 0.58/1.00 inference('clc', [status(thm)], [zip_derived_cl256, zip_derived_cl190])).
% 0.58/1.00 thf(zip_derived_cl397, plain,
% 0.58/1.00 (( (E @ 0 @ (f @ z))
% 0.58/1.00 | ~ (E @ (s @ 0) @ (f @ z))
% 0.58/1.00 | ~ (E @ (s @ 0) @ (f @ (suc @ z))))),
% 0.58/1.00 inference('sup-', [status(thm)], [zip_derived_cl396, zip_derived_cl257])).
% 0.58/1.00 thf(zip_derived_cl96, plain,
% 0.58/1.00 (![X0 : $i]:
% 0.58/1.00 ( (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ X0))))
% 0.58/1.00 | (LE @ (f @ X0) @ (s @ 0))
% 0.58/1.00 | (E @ (s @ 0) @ (f @ X0)))),
% 0.58/1.00 inference('sup-', [status(thm)], [zip_derived_cl95, zip_derived_cl9])).
% 0.58/1.00 thf(zip_derived_cl39, plain,
% 0.58/1.00 (![X0 : $i]:
% 0.58/1.00 (~ (LE @ (f @ X0) @ (s @ 0))
% 0.58/1.00 | (E @ 0 @ (f @ X0))
% 0.58/1.00 | (LE @ (f @ X0) @ 0))),
% 0.58/1.00 inference('cnf', [status(esa)], [clause_307])).
% 0.58/1.00 thf(zip_derived_cl120, plain,
% 0.58/1.00 (![X0 : $i]:
% 0.58/1.00 ( (E @ (s @ 0) @ (f @ X0))
% 0.58/1.00 | (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ X0))))
% 0.58/1.00 | (LE @ (f @ X0) @ 0)
% 0.58/1.00 | (E @ 0 @ (f @ X0)))),
% 0.58/1.00 inference('sup-', [status(thm)], [zip_derived_cl96, zip_derived_cl39])).
% 0.58/1.00 thf(zip_derived_cl33, plain, (~ (LE @ (f @ z) @ 0)),
% 0.58/1.00 inference('cnf', [status(esa)], [clause_211])).
% 0.58/1.00 thf(zip_derived_cl270, plain,
% 0.58/1.00 (( (E @ 0 @ (f @ z))
% 0.58/1.00 | (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ z))))
% 0.58/1.00 | (E @ (s @ 0) @ (f @ z)))),
% 0.58/1.00 inference('sup-', [status(thm)], [zip_derived_cl120, zip_derived_cl33])).
% 0.58/1.00 thf(zip_derived_cl259, plain,
% 0.58/1.00 (![X0 : $i]:
% 0.58/1.00 (~ (E @ (s @ (s @ 0)) @ (f @ X0))
% 0.58/1.00 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 0.58/1.00 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ X0)))))),
% 0.58/1.00 inference('clc', [status(thm)], [zip_derived_cl258, zip_derived_cl126])).
% 0.58/1.00 thf(zip_derived_cl272, plain,
% 0.58/1.00 (( (E @ (s @ 0) @ (f @ z))
% 0.58/1.00 | (E @ 0 @ (f @ z))
% 0.58/1.00 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ z)))
% 0.58/1.00 | ~ (E @ (s @ (s @ 0)) @ (f @ z)))),
% 0.58/1.00 inference('sup-', [status(thm)], [zip_derived_cl270, zip_derived_cl259])).
% 0.58/1.00 thf(zip_derived_cl85, plain,
% 0.58/1.00 (![X0 : $i]:
% 0.58/1.00 ( (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 0.58/1.00 | (LE @ (f @ X0) @ (s @ 0))
% 0.58/1.00 | (E @ (s @ 0) @ (f @ X0)))),
% 0.58/1.00 inference('sup-', [status(thm)], [zip_derived_cl84, zip_derived_cl9])).
% 0.58/1.00 thf(zip_derived_cl39, plain,
% 0.58/1.00 (![X0 : $i]:
% 0.58/1.00 (~ (LE @ (f @ X0) @ (s @ 0))
% 0.58/1.00 | (E @ 0 @ (f @ X0))
% 0.58/1.00 | (LE @ (f @ X0) @ 0))),
% 0.58/1.00 inference('cnf', [status(esa)], [clause_307])).
% 0.58/1.00 thf(zip_derived_cl102, plain,
% 0.58/1.00 (![X0 : $i]:
% 0.58/1.00 ( (E @ (s @ 0) @ (f @ X0))
% 0.58/1.00 | (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 0.58/1.00 | (LE @ (f @ X0) @ 0)
% 0.58/1.00 | (E @ 0 @ (f @ X0)))),
% 0.58/1.00 inference('sup-', [status(thm)], [zip_derived_cl85, zip_derived_cl39])).
% 0.58/1.00 thf(zip_derived_cl33, plain, (~ (LE @ (f @ z) @ 0)),
% 0.58/1.00 inference('cnf', [status(esa)], [clause_211])).
% 0.58/1.00 thf(zip_derived_cl248, plain,
% 0.58/1.00 (( (E @ 0 @ (f @ z))
% 0.58/1.00 | (E @ (s @ (s @ 0)) @ (f @ (suc @ z)))
% 0.58/1.00 | (E @ (s @ 0) @ (f @ z)))),
% 0.58/1.00 inference('sup-', [status(thm)], [zip_derived_cl102, zip_derived_cl33])).
% 0.58/1.00 thf(zip_derived_cl274, plain,
% 0.58/1.00 ((~ (E @ (s @ (s @ 0)) @ (f @ z))
% 0.58/1.00 | (E @ 0 @ (f @ z))
% 0.58/1.00 | (E @ (s @ 0) @ (f @ z)))),
% 0.58/1.00 inference('clc', [status(thm)], [zip_derived_cl272, zip_derived_cl248])).
% 0.58/1.00 thf(zip_derived_cl46, plain,
% 0.58/1.00 (![X0 : $i]:
% 0.58/1.00 ( (E @ (s @ (s @ 0)) @ (f @ X0))
% 0.58/1.00 | (LE @ (f @ X0) @ (s @ 0))
% 0.58/1.00 | (E @ (s @ 0) @ (f @ X0)))),
% 0.58/1.00 inference('sup-', [status(thm)], [zip_derived_cl45, zip_derived_cl9])).
% 0.58/1.00 thf(zip_derived_cl39, plain,
% 0.58/1.00 (![X0 : $i]:
% 0.58/1.00 (~ (LE @ (f @ X0) @ (s @ 0))
% 0.58/1.00 | (E @ 0 @ (f @ X0))
% 0.58/1.00 | (LE @ (f @ X0) @ 0))),
% 0.58/1.00 inference('cnf', [status(esa)], [clause_307])).
% 0.58/1.00 thf(zip_derived_cl55, plain,
% 0.58/1.00 (![X0 : $i]:
% 0.58/1.00 ( (E @ (s @ 0) @ (f @ X0))
% 0.58/1.00 | (E @ (s @ (s @ 0)) @ (f @ X0))
% 0.58/1.00 | (LE @ (f @ X0) @ 0)
% 0.58/1.00 | (E @ 0 @ (f @ X0)))),
% 0.58/1.00 inference('sup-', [status(thm)], [zip_derived_cl46, zip_derived_cl39])).
% 0.58/1.00 thf(zip_derived_cl33, plain, (~ (LE @ (f @ z) @ 0)),
% 0.58/1.00 inference('cnf', [status(esa)], [clause_211])).
% 0.58/1.00 thf(zip_derived_cl73, plain,
% 0.58/1.00 (( (E @ 0 @ (f @ z))
% 0.58/1.00 | (E @ (s @ (s @ 0)) @ (f @ z))
% 0.58/1.00 | (E @ (s @ 0) @ (f @ z)))),
% 0.58/1.00 inference('sup-', [status(thm)], [zip_derived_cl55, zip_derived_cl33])).
% 0.58/1.00 thf(zip_derived_cl275, plain,
% 0.58/1.00 (( (E @ (s @ 0) @ (f @ z)) | (E @ 0 @ (f @ z)))),
% 0.58/1.00 inference('clc', [status(thm)], [zip_derived_cl274, zip_derived_cl73])).
% 0.58/1.00 thf(zip_derived_cl399, plain,
% 0.58/1.00 ((~ (E @ (s @ 0) @ (f @ (suc @ z))) | (E @ 0 @ (f @ z)))),
% 0.58/1.00 inference('clc', [status(thm)], [zip_derived_cl397, zip_derived_cl275])).
% 0.58/1.00 thf(zip_derived_cl97, plain,
% 0.58/1.00 (![X0 : $i]:
% 0.58/1.00 ( (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 0.58/1.00 | (LE @ (f @ X0) @ (s @ 0))
% 0.58/1.00 | (E @ (s @ 0) @ (f @ (suc @ X0))))),
% 0.58/1.00 inference('sup-', [status(thm)], [zip_derived_cl95, zip_derived_cl35])).
% 0.58/1.00 thf(zip_derived_cl39, plain,
% 0.58/1.00 (![X0 : $i]:
% 0.58/1.00 (~ (LE @ (f @ X0) @ (s @ 0))
% 0.58/1.00 | (E @ 0 @ (f @ X0))
% 0.58/1.00 | (LE @ (f @ X0) @ 0))),
% 0.58/1.00 inference('cnf', [status(esa)], [clause_307])).
% 0.58/1.00 thf(zip_derived_cl232, plain,
% 0.58/1.00 (![X0 : $i]:
% 0.58/1.00 ( (E @ (s @ 0) @ (f @ (suc @ X0)))
% 0.58/1.00 | (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 0.58/1.00 | (LE @ (f @ X0) @ 0)
% 0.58/1.00 | (E @ 0 @ (f @ X0)))),
% 0.58/1.00 inference('sup-', [status(thm)], [zip_derived_cl97, zip_derived_cl39])).
% 0.58/1.00 thf(zip_derived_cl33, plain, (~ (LE @ (f @ z) @ 0)),
% 0.58/1.00 inference('cnf', [status(esa)], [clause_211])).
% 0.58/1.00 thf(zip_derived_cl338, plain,
% 0.58/1.00 (( (E @ 0 @ (f @ z))
% 0.58/1.00 | (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ (suc @ z)))))
% 0.58/1.00 | (E @ (s @ 0) @ (f @ (suc @ z))))),
% 0.58/1.00 inference('sup-', [status(thm)], [zip_derived_cl232, zip_derived_cl33])).
% 0.58/1.00 thf(zip_derived_cl259, plain,
% 0.58/1.00 (![X0 : $i]:
% 0.58/1.00 (~ (E @ (s @ (s @ 0)) @ (f @ X0))
% 0.58/1.00 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 0.58/1.00 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ X0)))))),
% 0.58/1.00 inference('clc', [status(thm)], [zip_derived_cl258, zip_derived_cl126])).
% 0.58/1.00 thf(zip_derived_cl340, plain,
% 0.58/1.00 (( (E @ (s @ 0) @ (f @ (suc @ z)))
% 0.58/1.00 | (E @ 0 @ (f @ z))
% 0.58/1.00 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ z))))
% 0.58/1.00 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ z))))),
% 0.58/1.00 inference('sup-', [status(thm)], [zip_derived_cl338, zip_derived_cl259])).
% 0.58/1.00 thf(zip_derived_cl86, plain,
% 0.58/1.00 (![X0 : $i]:
% 0.58/1.00 ( (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ X0))))
% 0.58/1.00 | (LE @ (f @ X0) @ (s @ 0))
% 0.58/1.00 | (E @ (s @ 0) @ (f @ (suc @ X0))))),
% 0.58/1.00 inference('sup-', [status(thm)], [zip_derived_cl84, zip_derived_cl35])).
% 0.58/1.00 thf(zip_derived_cl39, plain,
% 0.58/1.00 (![X0 : $i]:
% 0.58/1.00 (~ (LE @ (f @ X0) @ (s @ 0))
% 0.58/1.00 | (E @ 0 @ (f @ X0))
% 0.58/1.00 | (LE @ (f @ X0) @ 0))),
% 0.58/1.00 inference('cnf', [status(esa)], [clause_307])).
% 0.58/1.00 thf(zip_derived_cl191, plain,
% 0.58/1.00 (![X0 : $i]:
% 0.58/1.00 ( (E @ (s @ 0) @ (f @ (suc @ X0)))
% 0.58/1.00 | (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ X0))))
% 0.58/1.00 | (LE @ (f @ X0) @ 0)
% 0.58/1.00 | (E @ 0 @ (f @ X0)))),
% 0.58/1.00 inference('sup-', [status(thm)], [zip_derived_cl86, zip_derived_cl39])).
% 0.58/1.00 thf(zip_derived_cl33, plain, (~ (LE @ (f @ z) @ 0)),
% 0.58/1.00 inference('cnf', [status(esa)], [clause_211])).
% 0.58/1.00 thf(zip_derived_cl294, plain,
% 0.58/1.00 (( (E @ 0 @ (f @ z))
% 0.58/1.00 | (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ z))))
% 0.58/1.00 | (E @ (s @ 0) @ (f @ (suc @ z))))),
% 0.58/1.00 inference('sup-', [status(thm)], [zip_derived_cl191, zip_derived_cl33])).
% 0.58/1.00 thf(zip_derived_cl342, plain,
% 0.58/1.00 ((~ (E @ (s @ (s @ 0)) @ (f @ (suc @ z)))
% 0.58/1.00 | (E @ 0 @ (f @ z))
% 0.58/1.00 | (E @ (s @ 0) @ (f @ (suc @ z))))),
% 0.58/1.00 inference('clc', [status(thm)], [zip_derived_cl340, zip_derived_cl294])).
% 0.58/1.00 thf(zip_derived_cl47, plain,
% 0.58/1.00 (![X0 : $i]:
% 0.58/1.00 ( (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 0.58/1.00 | (LE @ (f @ X0) @ (s @ 0))
% 0.58/1.00 | (E @ (s @ 0) @ (f @ (suc @ X0))))),
% 0.58/1.00 inference('sup-', [status(thm)], [zip_derived_cl45, zip_derived_cl35])).
% 0.58/1.00 thf(zip_derived_cl39, plain,
% 0.58/1.00 (![X0 : $i]:
% 0.58/1.00 (~ (LE @ (f @ X0) @ (s @ 0))
% 0.58/1.00 | (E @ 0 @ (f @ X0))
% 0.58/1.00 | (LE @ (f @ X0) @ 0))),
% 0.58/1.00 inference('cnf', [status(esa)], [clause_307])).
% 0.58/1.00 thf(zip_derived_cl61, plain,
% 0.58/1.00 (![X0 : $i]:
% 0.58/1.00 ( (E @ (s @ 0) @ (f @ (suc @ X0)))
% 0.58/1.00 | (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 0.58/1.00 | (LE @ (f @ X0) @ 0)
% 0.58/1.00 | (E @ 0 @ (f @ X0)))),
% 0.58/1.00 inference('sup-', [status(thm)], [zip_derived_cl47, zip_derived_cl39])).
% 0.58/1.00 thf(zip_derived_cl33, plain, (~ (LE @ (f @ z) @ 0)),
% 0.58/1.00 inference('cnf', [status(esa)], [clause_211])).
% 0.58/1.00 thf(zip_derived_cl268, plain,
% 0.58/1.00 (( (E @ 0 @ (f @ z))
% 0.58/1.00 | (E @ (s @ (s @ 0)) @ (f @ (suc @ z)))
% 0.58/1.00 | (E @ (s @ 0) @ (f @ (suc @ z))))),
% 0.58/1.00 inference('sup-', [status(thm)], [zip_derived_cl61, zip_derived_cl33])).
% 0.58/1.00 thf(zip_derived_cl343, plain,
% 0.58/1.00 (( (E @ (s @ 0) @ (f @ (suc @ z))) | (E @ 0 @ (f @ z)))),
% 0.58/1.00 inference('clc', [status(thm)], [zip_derived_cl342, zip_derived_cl268])).
% 0.58/1.00 thf(zip_derived_cl400, plain, ( (E @ 0 @ (f @ z))),
% 0.58/1.00 inference('clc', [status(thm)], [zip_derived_cl399, zip_derived_cl343])).
% 0.58/1.00 thf(zip_derived_cl98, plain,
% 0.58/1.00 (![X0 : $i]:
% 0.58/1.00 ( (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ (suc @ (suc @ X0))))))
% 0.58/1.00 | (LE @ (f @ X0) @ (s @ 0))
% 0.58/1.00 | (E @ (s @ 0) @ (f @ (suc @ (suc @ X0)))))),
% 0.58/1.00 inference('sup-', [status(thm)], [zip_derived_cl95, zip_derived_cl40])).
% 0.58/1.00 thf(clause_353, axiom,
% 0.58/1.00 (( ~( LE @ ( f @ ( suc @ B_35 ) ) @ ( s @ 0 ) ) ) |
% 0.58/1.00 ( E @ 0 @ ( f @ ( suc @ B_35 ) ) ) | ( LE @ ( f @ B_35 ) @ 0 ))).
% 0.58/1.00 thf(zip_derived_cl29, plain,
% 0.58/1.00 (![X0 : $i]:
% 0.58/1.00 (~ (LE @ (f @ (suc @ X0)) @ (s @ 0))
% 0.58/1.00 | (E @ 0 @ (f @ (suc @ X0)))
% 0.58/1.00 | (LE @ (f @ X0) @ 0))),
% 0.58/1.00 inference('cnf', [status(esa)], [clause_353])).
% 0.58/1.00 thf(zip_derived_cl279, plain,
% 0.58/1.00 (![X0 : $i]:
% 0.58/1.00 ( (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 0.58/1.00 | (E @ (s @ (s @ 0)) @
% 0.58/1.00 (f @ (suc @ (suc @ (suc @ (suc @ (suc @ X0)))))))
% 0.58/1.00 | (LE @ (f @ X0) @ 0)
% 0.58/1.00 | (E @ 0 @ (f @ (suc @ X0))))),
% 0.58/1.00 inference('sup-', [status(thm)], [zip_derived_cl98, zip_derived_cl29])).
% 0.58/1.00 thf(zip_derived_cl33, plain, (~ (LE @ (f @ z) @ 0)),
% 0.58/1.00 inference('cnf', [status(esa)], [clause_211])).
% 0.58/1.00 thf(zip_derived_cl456, plain,
% 0.58/1.00 (( (E @ 0 @ (f @ (suc @ z)))
% 0.58/1.00 | (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ (suc @ (suc @ (suc @ z)))))))
% 0.58/1.00 | (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ z))))))),
% 0.58/1.00 inference('sup-', [status(thm)], [zip_derived_cl279, zip_derived_cl33])).
% 0.58/1.00 thf(zip_derived_cl259, plain,
% 0.58/1.00 (![X0 : $i]:
% 0.58/1.00 (~ (E @ (s @ (s @ 0)) @ (f @ X0))
% 0.58/1.00 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 0.58/1.00 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ X0)))))),
% 0.58/1.00 inference('clc', [status(thm)], [zip_derived_cl258, zip_derived_cl126])).
% 0.58/1.00 thf(zip_derived_cl458, plain,
% 0.58/1.00 (( (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ z)))))
% 0.58/1.00 | (E @ 0 @ (f @ (suc @ z)))
% 0.58/1.00 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ (suc @ (suc @ z))))))
% 0.58/1.00 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ (suc @ z))))))),
% 0.58/1.00 inference('sup-', [status(thm)], [zip_derived_cl456, zip_derived_cl259])).
% 0.58/1.00 thf(zip_derived_cl87, plain,
% 0.58/1.00 (![X0 : $i]:
% 0.58/1.00 ( (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 0.58/1.00 | (LE @ (f @ X0) @ (s @ 0))
% 0.58/1.00 | (E @ (s @ 0) @ (f @ (suc @ (suc @ X0)))))),
% 0.58/1.00 inference('sup-', [status(thm)], [zip_derived_cl84, zip_derived_cl40])).
% 0.58/1.00 thf(zip_derived_cl29, plain,
% 0.58/1.00 (![X0 : $i]:
% 0.58/1.00 (~ (LE @ (f @ (suc @ X0)) @ (s @ 0))
% 0.58/1.00 | (E @ 0 @ (f @ (suc @ X0)))
% 0.58/1.00 | (LE @ (f @ X0) @ 0))),
% 0.58/1.00 inference('cnf', [status(esa)], [clause_353])).
% 0.58/1.00 thf(zip_derived_cl262, plain,
% 0.58/1.00 (![X0 : $i]:
% 0.58/1.00 ( (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 0.58/1.00 | (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ (suc @ (suc @ X0))))))
% 0.58/1.00 | (LE @ (f @ X0) @ 0)
% 0.58/1.00 | (E @ 0 @ (f @ (suc @ X0))))),
% 0.58/1.00 inference('sup-', [status(thm)], [zip_derived_cl87, zip_derived_cl29])).
% 0.58/1.00 thf(zip_derived_cl33, plain, (~ (LE @ (f @ z) @ 0)),
% 0.58/1.00 inference('cnf', [status(esa)], [clause_211])).
% 0.58/1.00 thf(zip_derived_cl439, plain,
% 0.58/1.00 (( (E @ 0 @ (f @ (suc @ z)))
% 0.58/1.00 | (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ (suc @ (suc @ z))))))
% 0.58/1.00 | (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ z))))))),
% 0.58/1.00 inference('sup-', [status(thm)], [zip_derived_cl262, zip_derived_cl33])).
% 0.58/1.00 thf(zip_derived_cl460, plain,
% 0.58/1.00 ((~ (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ (suc @ z)))))
% 0.58/1.00 | (E @ 0 @ (f @ (suc @ z)))
% 0.58/1.00 | (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ z))))))),
% 0.58/1.00 inference('clc', [status(thm)], [zip_derived_cl458, zip_derived_cl439])).
% 0.58/1.00 thf(zip_derived_cl53, plain,
% 0.58/1.00 (![X0 : $i]:
% 0.58/1.00 ( (LE @ (f @ X0) @ (s @ 0))
% 0.58/1.00 | (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 0.58/1.00 | (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ X0)))))),
% 0.58/1.00 inference('sup+', [status(thm)], [zip_derived_cl40, zip_derived_cl45])).
% 0.58/1.00 thf(zip_derived_cl29, plain,
% 0.58/1.00 (![X0 : $i]:
% 0.58/1.00 (~ (LE @ (f @ (suc @ X0)) @ (s @ 0))
% 0.58/1.00 | (E @ 0 @ (f @ (suc @ X0)))
% 0.58/1.00 | (LE @ (f @ X0) @ 0))),
% 0.58/1.00 inference('cnf', [status(esa)], [clause_353])).
% 0.58/1.00 thf(zip_derived_cl220, plain,
% 0.58/1.00 (![X0 : $i]:
% 0.58/1.00 ( (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 0.58/1.00 | (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 0.58/1.00 | (LE @ (f @ X0) @ 0)
% 0.58/1.00 | (E @ 0 @ (f @ (suc @ X0))))),
% 0.58/1.00 inference('sup-', [status(thm)], [zip_derived_cl53, zip_derived_cl29])).
% 0.58/1.00 thf(zip_derived_cl33, plain, (~ (LE @ (f @ z) @ 0)),
% 0.58/1.00 inference('cnf', [status(esa)], [clause_211])).
% 0.58/1.00 thf(zip_derived_cl414, plain,
% 0.58/1.00 (( (E @ 0 @ (f @ (suc @ z)))
% 0.58/1.00 | (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ z)))))
% 0.58/1.00 | (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ (suc @ z))))))),
% 0.58/1.00 inference('sup-', [status(thm)], [zip_derived_cl220, zip_derived_cl33])).
% 0.58/1.00 thf(zip_derived_cl461, plain,
% 0.58/1.00 (( (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ z)))))
% 0.58/1.00 | (E @ 0 @ (f @ (suc @ z))))),
% 0.58/1.00 inference('clc', [status(thm)], [zip_derived_cl460, zip_derived_cl414])).
% 0.58/1.00 thf(zip_derived_cl257, plain,
% 0.58/1.00 (![X0 : $i]:
% 0.58/1.00 (~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 0.58/1.00 | ~ (E @ (s @ 0) @ (f @ X0))
% 0.58/1.00 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0)))))),
% 0.58/1.00 inference('clc', [status(thm)], [zip_derived_cl256, zip_derived_cl190])).
% 0.58/1.00 thf(zip_derived_cl462, plain,
% 0.58/1.00 (( (E @ 0 @ (f @ (suc @ z)))
% 0.58/1.00 | ~ (E @ (s @ 0) @ (f @ (suc @ z)))
% 0.58/1.00 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ z)))))),
% 0.58/1.00 inference('sup-', [status(thm)], [zip_derived_cl461, zip_derived_cl257])).
% 0.58/1.00 thf(zip_derived_cl96, plain,
% 0.58/1.00 (![X0 : $i]:
% 0.58/1.00 ( (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ X0))))
% 0.58/1.00 | (LE @ (f @ X0) @ (s @ 0))
% 0.58/1.00 | (E @ (s @ 0) @ (f @ X0)))),
% 0.58/1.00 inference('sup-', [status(thm)], [zip_derived_cl95, zip_derived_cl9])).
% 0.58/1.00 thf(zip_derived_cl29, plain,
% 0.58/1.00 (![X0 : $i]:
% 0.58/1.00 (~ (LE @ (f @ (suc @ X0)) @ (s @ 0))
% 0.58/1.00 | (E @ 0 @ (f @ (suc @ X0)))
% 0.58/1.00 | (LE @ (f @ X0) @ 0))),
% 0.58/1.00 inference('cnf', [status(esa)], [clause_353])).
% 0.58/1.00 thf(zip_derived_cl122, plain,
% 0.58/1.00 (![X0 : $i]:
% 0.58/1.00 ( (E @ (s @ 0) @ (f @ (suc @ X0)))
% 0.58/1.00 | (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 0.58/1.00 | (LE @ (f @ X0) @ 0)
% 0.58/1.00 | (E @ 0 @ (f @ (suc @ X0))))),
% 0.58/1.00 inference('sup-', [status(thm)], [zip_derived_cl96, zip_derived_cl29])).
% 0.58/1.00 thf(zip_derived_cl33, plain, (~ (LE @ (f @ z) @ 0)),
% 0.58/1.00 inference('cnf', [status(esa)], [clause_211])).
% 0.58/1.00 thf(zip_derived_cl349, plain,
% 0.58/1.00 (( (E @ 0 @ (f @ (suc @ z)))
% 0.58/1.00 | (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ (suc @ z)))))
% 0.58/1.00 | (E @ (s @ 0) @ (f @ (suc @ z))))),
% 0.58/1.00 inference('sup-', [status(thm)], [zip_derived_cl122, zip_derived_cl33])).
% 0.58/1.00 thf(zip_derived_cl259, plain,
% 0.58/1.00 (![X0 : $i]:
% 0.58/1.00 (~ (E @ (s @ (s @ 0)) @ (f @ X0))
% 0.58/1.00 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 0.58/1.00 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ X0)))))),
% 0.58/1.00 inference('clc', [status(thm)], [zip_derived_cl258, zip_derived_cl126])).
% 0.58/1.00 thf(zip_derived_cl351, plain,
% 0.58/1.00 (( (E @ (s @ 0) @ (f @ (suc @ z)))
% 0.58/1.00 | (E @ 0 @ (f @ (suc @ z)))
% 0.58/1.00 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ z))))
% 0.58/1.00 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ z))))),
% 0.58/1.00 inference('sup-', [status(thm)], [zip_derived_cl349, zip_derived_cl259])).
% 0.58/1.00 thf(zip_derived_cl85, plain,
% 0.58/1.00 (![X0 : $i]:
% 0.58/1.00 ( (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 0.58/1.00 | (LE @ (f @ X0) @ (s @ 0))
% 0.58/1.00 | (E @ (s @ 0) @ (f @ X0)))),
% 0.58/1.00 inference('sup-', [status(thm)], [zip_derived_cl84, zip_derived_cl9])).
% 0.58/1.00 thf(zip_derived_cl29, plain,
% 0.58/1.00 (![X0 : $i]:
% 0.58/1.00 (~ (LE @ (f @ (suc @ X0)) @ (s @ 0))
% 0.58/1.00 | (E @ 0 @ (f @ (suc @ X0)))
% 0.58/1.00 | (LE @ (f @ X0) @ 0))),
% 0.58/1.00 inference('cnf', [status(esa)], [clause_353])).
% 0.58/1.00 thf(zip_derived_cl104, plain,
% 0.58/1.00 (![X0 : $i]:
% 0.58/1.00 ( (E @ (s @ 0) @ (f @ (suc @ X0)))
% 0.58/1.00 | (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ X0))))
% 0.58/1.00 | (LE @ (f @ X0) @ 0)
% 0.58/1.00 | (E @ 0 @ (f @ (suc @ X0))))),
% 0.58/1.00 inference('sup-', [status(thm)], [zip_derived_cl85, zip_derived_cl29])).
% 0.58/1.00 thf(zip_derived_cl33, plain, (~ (LE @ (f @ z) @ 0)),
% 0.58/1.00 inference('cnf', [status(esa)], [clause_211])).
% 0.58/1.00 thf(zip_derived_cl300, plain,
% 0.58/1.00 (( (E @ 0 @ (f @ (suc @ z)))
% 0.58/1.00 | (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ z))))
% 0.58/1.00 | (E @ (s @ 0) @ (f @ (suc @ z))))),
% 0.58/1.00 inference('sup-', [status(thm)], [zip_derived_cl104, zip_derived_cl33])).
% 0.58/1.00 thf(zip_derived_cl353, plain,
% 0.58/1.00 ((~ (E @ (s @ (s @ 0)) @ (f @ (suc @ z)))
% 0.58/1.00 | (E @ 0 @ (f @ (suc @ z)))
% 0.58/1.00 | (E @ (s @ 0) @ (f @ (suc @ z))))),
% 0.58/1.00 inference('clc', [status(thm)], [zip_derived_cl351, zip_derived_cl300])).
% 0.58/1.00 thf(zip_derived_cl46, plain,
% 0.58/1.00 (![X0 : $i]:
% 0.58/1.00 ( (E @ (s @ (s @ 0)) @ (f @ X0))
% 0.58/1.00 | (LE @ (f @ X0) @ (s @ 0))
% 0.58/1.00 | (E @ (s @ 0) @ (f @ X0)))),
% 0.58/1.00 inference('sup-', [status(thm)], [zip_derived_cl45, zip_derived_cl9])).
% 0.58/1.00 thf(zip_derived_cl29, plain,
% 0.58/1.00 (![X0 : $i]:
% 0.58/1.00 (~ (LE @ (f @ (suc @ X0)) @ (s @ 0))
% 0.58/1.00 | (E @ 0 @ (f @ (suc @ X0)))
% 0.58/1.00 | (LE @ (f @ X0) @ 0))),
% 0.58/1.00 inference('cnf', [status(esa)], [clause_353])).
% 0.58/1.00 thf(zip_derived_cl57, plain,
% 0.58/1.00 (![X0 : $i]:
% 0.58/1.00 ( (E @ (s @ 0) @ (f @ (suc @ X0)))
% 0.58/1.00 | (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 0.58/1.00 | (LE @ (f @ X0) @ 0)
% 0.58/1.00 | (E @ 0 @ (f @ (suc @ X0))))),
% 0.58/1.00 inference('sup-', [status(thm)], [zip_derived_cl46, zip_derived_cl29])).
% 0.58/1.00 thf(zip_derived_cl33, plain, (~ (LE @ (f @ z) @ 0)),
% 0.58/1.00 inference('cnf', [status(esa)], [clause_211])).
% 0.58/1.00 thf(zip_derived_cl283, plain,
% 0.58/1.00 (( (E @ 0 @ (f @ (suc @ z)))
% 0.58/1.00 | (E @ (s @ (s @ 0)) @ (f @ (suc @ z)))
% 0.58/1.00 | (E @ (s @ 0) @ (f @ (suc @ z))))),
% 0.58/1.00 inference('sup-', [status(thm)], [zip_derived_cl57, zip_derived_cl33])).
% 0.58/1.00 thf(zip_derived_cl354, plain,
% 0.58/1.00 (( (E @ (s @ 0) @ (f @ (suc @ z))) | (E @ 0 @ (f @ (suc @ z))))),
% 0.58/1.00 inference('clc', [status(thm)], [zip_derived_cl353, zip_derived_cl283])).
% 0.58/1.00 thf(zip_derived_cl464, plain,
% 0.58/1.00 ((~ (E @ (s @ 0) @ (f @ (suc @ (suc @ z)))) | (E @ 0 @ (f @ (suc @ z))))),
% 0.58/1.00 inference('clc', [status(thm)], [zip_derived_cl462, zip_derived_cl354])).
% 0.58/1.00 thf(zip_derived_cl97, plain,
% 0.58/1.00 (![X0 : $i]:
% 0.58/1.00 ( (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 0.58/1.00 | (LE @ (f @ X0) @ (s @ 0))
% 0.58/1.00 | (E @ (s @ 0) @ (f @ (suc @ X0))))),
% 0.58/1.00 inference('sup-', [status(thm)], [zip_derived_cl95, zip_derived_cl35])).
% 0.58/1.00 thf(zip_derived_cl29, plain,
% 0.58/1.00 (![X0 : $i]:
% 0.58/1.00 (~ (LE @ (f @ (suc @ X0)) @ (s @ 0))
% 0.58/1.00 | (E @ 0 @ (f @ (suc @ X0)))
% 0.58/1.00 | (LE @ (f @ X0) @ 0))),
% 0.58/1.00 inference('cnf', [status(esa)], [clause_353])).
% 0.58/1.00 thf(zip_derived_cl234, plain,
% 0.58/1.00 (![X0 : $i]:
% 0.58/1.00 ( (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 0.58/1.00 | (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ (suc @ (suc @ X0))))))
% 0.58/1.00 | (LE @ (f @ X0) @ 0)
% 0.58/1.00 | (E @ 0 @ (f @ (suc @ X0))))),
% 0.58/1.00 inference('sup-', [status(thm)], [zip_derived_cl97, zip_derived_cl29])).
% 0.58/1.00 thf(zip_derived_cl33, plain, (~ (LE @ (f @ z) @ 0)),
% 0.58/1.00 inference('cnf', [status(esa)], [clause_211])).
% 0.58/1.00 thf(zip_derived_cl428, plain,
% 0.58/1.00 (( (E @ 0 @ (f @ (suc @ z)))
% 0.58/1.00 | (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ (suc @ (suc @ z))))))
% 0.58/1.00 | (E @ (s @ 0) @ (f @ (suc @ (suc @ z)))))),
% 0.58/1.00 inference('sup-', [status(thm)], [zip_derived_cl234, zip_derived_cl33])).
% 0.58/1.00 thf(zip_derived_cl259, plain,
% 0.58/1.00 (![X0 : $i]:
% 0.58/1.00 (~ (E @ (s @ (s @ 0)) @ (f @ X0))
% 0.58/1.00 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 0.58/1.00 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ X0)))))),
% 0.58/1.00 inference('clc', [status(thm)], [zip_derived_cl258, zip_derived_cl126])).
% 0.58/1.00 thf(zip_derived_cl430, plain,
% 0.58/1.00 (( (E @ (s @ 0) @ (f @ (suc @ (suc @ z))))
% 0.58/1.00 | (E @ 0 @ (f @ (suc @ z)))
% 0.58/1.00 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ (suc @ z)))))
% 0.58/1.00 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ z)))))),
% 0.58/1.00 inference('sup-', [status(thm)], [zip_derived_cl428, zip_derived_cl259])).
% 0.58/1.00 thf(zip_derived_cl86, plain,
% 0.58/1.00 (![X0 : $i]:
% 0.58/1.00 ( (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ X0))))
% 0.58/1.00 | (LE @ (f @ X0) @ (s @ 0))
% 0.58/1.00 | (E @ (s @ 0) @ (f @ (suc @ X0))))),
% 0.58/1.00 inference('sup-', [status(thm)], [zip_derived_cl84, zip_derived_cl35])).
% 0.58/1.00 thf(zip_derived_cl29, plain,
% 0.58/1.00 (![X0 : $i]:
% 0.58/1.00 (~ (LE @ (f @ (suc @ X0)) @ (s @ 0))
% 0.58/1.00 | (E @ 0 @ (f @ (suc @ X0)))
% 0.58/1.00 | (LE @ (f @ X0) @ 0))),
% 0.58/1.00 inference('cnf', [status(esa)], [clause_353])).
% 0.58/1.00 thf(zip_derived_cl193, plain,
% 0.58/1.00 (![X0 : $i]:
% 0.58/1.00 ( (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 0.58/1.00 | (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 0.58/1.00 | (LE @ (f @ X0) @ 0)
% 0.58/1.00 | (E @ 0 @ (f @ (suc @ X0))))),
% 0.58/1.00 inference('sup-', [status(thm)], [zip_derived_cl86, zip_derived_cl29])).
% 0.58/1.00 thf(zip_derived_cl33, plain, (~ (LE @ (f @ z) @ 0)),
% 0.58/1.00 inference('cnf', [status(esa)], [clause_211])).
% 0.58/1.00 thf(zip_derived_cl383, plain,
% 0.58/1.00 (( (E @ 0 @ (f @ (suc @ z)))
% 0.58/1.00 | (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ (suc @ z)))))
% 0.58/1.00 | (E @ (s @ 0) @ (f @ (suc @ (suc @ z)))))),
% 0.58/1.00 inference('sup-', [status(thm)], [zip_derived_cl193, zip_derived_cl33])).
% 0.58/1.00 thf(zip_derived_cl432, plain,
% 0.58/1.00 ((~ (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ z))))
% 0.58/1.00 | (E @ 0 @ (f @ (suc @ z)))
% 0.58/1.00 | (E @ (s @ 0) @ (f @ (suc @ (suc @ z)))))),
% 0.58/1.00 inference('clc', [status(thm)], [zip_derived_cl430, zip_derived_cl383])).
% 0.58/1.00 thf(zip_derived_cl47, plain,
% 0.58/1.00 (![X0 : $i]:
% 0.58/1.00 ( (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 0.58/1.00 | (LE @ (f @ X0) @ (s @ 0))
% 0.58/1.00 | (E @ (s @ 0) @ (f @ (suc @ X0))))),
% 0.58/1.00 inference('sup-', [status(thm)], [zip_derived_cl45, zip_derived_cl35])).
% 0.58/1.00 thf(zip_derived_cl29, plain,
% 0.58/1.00 (![X0 : $i]:
% 0.58/1.00 (~ (LE @ (f @ (suc @ X0)) @ (s @ 0))
% 0.58/1.00 | (E @ 0 @ (f @ (suc @ X0)))
% 0.58/1.00 | (LE @ (f @ X0) @ 0))),
% 0.58/1.00 inference('cnf', [status(esa)], [clause_353])).
% 0.58/1.00 thf(zip_derived_cl63, plain,
% 0.58/1.00 (![X0 : $i]:
% 0.58/1.00 ( (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 0.58/1.00 | (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ X0))))
% 0.58/1.00 | (LE @ (f @ X0) @ 0)
% 0.58/1.00 | (E @ 0 @ (f @ (suc @ X0))))),
% 0.58/1.00 inference('sup-', [status(thm)], [zip_derived_cl47, zip_derived_cl29])).
% 0.58/1.00 thf(zip_derived_cl33, plain, (~ (LE @ (f @ z) @ 0)),
% 0.58/1.00 inference('cnf', [status(esa)], [clause_211])).
% 0.58/1.00 thf(zip_derived_cl326, plain,
% 0.58/1.00 (( (E @ 0 @ (f @ (suc @ z)))
% 0.58/1.00 | (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ z))))
% 0.58/1.00 | (E @ (s @ 0) @ (f @ (suc @ (suc @ z)))))),
% 0.58/1.00 inference('sup-', [status(thm)], [zip_derived_cl63, zip_derived_cl33])).
% 0.58/1.00 thf(zip_derived_cl433, plain,
% 0.58/1.00 (( (E @ (s @ 0) @ (f @ (suc @ (suc @ z)))) | (E @ 0 @ (f @ (suc @ z))))),
% 0.58/1.00 inference('clc', [status(thm)], [zip_derived_cl432, zip_derived_cl326])).
% 0.58/1.00 thf(zip_derived_cl465, plain, ( (E @ 0 @ (f @ (suc @ z)))),
% 0.58/1.00 inference('clc', [status(thm)], [zip_derived_cl464, zip_derived_cl433])).
% 0.58/1.00 thf(zip_derived_cl511, plain, ($false),
% 0.58/1.00 inference('demod', [status(thm)],
% 0.58/1.00 [zip_derived_cl510, zip_derived_cl400, zip_derived_cl465])).
% 0.58/1.00
% 0.58/1.00 % SZS output end Refutation
% 0.58/1.00
% 0.58/1.00
% 0.58/1.00 % Terminating...
% 0.63/1.05 % Runner terminated.
% 0.63/1.06 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------