TSTP Solution File: SYO646-1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYO646-1 : TPTP v8.1.2. Released v7.3.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.yV8G3lWP5B true

% Computer : n024.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri Sep  1 05:52:24 EDT 2023

% Result   : Unsatisfiable 2.15s 1.26s
% Output   : Refutation 2.15s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SYO646-1 : TPTP v8.1.2. Released v7.3.0.
% 0.07/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.yV8G3lWP5B true
% 0.14/0.34  % Computer : n024.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Sat Aug 26 07:50:39 EDT 2023
% 0.14/0.34  % CPUTime  : 
% 0.14/0.34  % Running portfolio for 300 s
% 0.14/0.34  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.34  % Number of cores: 8
% 0.14/0.34  % Python version: Python 3.6.8
% 0.14/0.34  % Running in FO mode
% 0.20/0.65  % Total configuration time : 435
% 0.20/0.65  % Estimated wc time : 1092
% 0.20/0.65  % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.70  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 1.16/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 1.36/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 1.36/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 1.36/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.36/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 1.36/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.48/0.86  % /export/starexec/sandbox2/solver/bin/fo/fo1_lcnf.sh running for 50s
% 1.48/0.87  % /export/starexec/sandbox2/solver/bin/fo/fo17_bce.sh running for 50s
% 1.90/0.91  % /export/starexec/sandbox2/solver/bin/fo/fo8.sh running for 50s
% 2.15/1.26  % Solved by fo/fo1_lcnf.sh.
% 2.15/1.26  % done 232 iterations in 0.350s
% 2.15/1.26  % SZS status Unsatisfiable for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 2.15/1.26  % SZS output start Refutation
% 2.15/1.26  thf(suc_type, type, suc: $i > $i).
% 2.15/1.26  thf(iLEQ_type, type, iLEQ: $i > $i > $o).
% 2.15/1.26  thf(f_type, type, f: $i > $i).
% 2.15/1.26  thf(0_type, type, 0: $i).
% 2.15/1.26  thf(E_type, type, E: $i > $i > $o).
% 2.15/1.26  thf(clause_1238, axiom,
% 2.15/1.26    (( ~( E @ 0 @ ( f @ ( suc @ ( suc @ ( suc @ B_2 ) ) ) ) ) ) | 
% 2.15/1.26     ( ~( E @ ( f @ B_2 ) @ ( f @ ( suc @ ( suc @ B_2 ) ) ) ) ) | 
% 2.15/1.26     ( ~( E @ ( f @ B_1 ) @ ( f @ ( suc @ B_1 ) ) ) ) | 
% 2.15/1.26     ( ~( iLEQ @ ( suc @ B_1 ) @ ( suc @ B_2 ) ) ) | 
% 2.15/1.26     ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ A_0 ) ) ) ) ) | 
% 2.15/1.26     ( ~( iLEQ @ ( suc @ B_0 ) @ ( suc @ B_1 ) ) ) | 
% 2.15/1.26     ( ~( E @ 0 @ ( f @ B_1 ) ) ) | 
% 2.15/1.26     ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ B_0 ) ) ) ) ) | 
% 2.15/1.26     ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ ( suc @ B_0 ) ) ) ) ) ) | 
% 2.15/1.26     ( ~( E @ ( f @ B_0 ) @ ( f @ ( suc @ B_0 ) ) ) ) | 
% 2.15/1.26     ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ ( suc @ B ) ) ) ) ) ) | 
% 2.15/1.26     ( ~( E @ ( f @ B ) @ ( f @ ( suc @ B ) ) ) ) | 
% 2.15/1.26     ( ~( iLEQ @ ( suc @ A_0 ) @ ( suc @ B ) ) ) | 
% 2.15/1.26     ( ~( E @ ( f @ A_0 ) @ ( f @ ( suc @ ( suc @ A_0 ) ) ) ) ) | 
% 2.15/1.26     ( ~( E @ 0 @ ( f @ ( suc @ B_0 ) ) ) ) | 
% 2.15/1.26     ( ~( E @ 0 @ ( f @ ( suc @ B_2 ) ) ) ) | 
% 2.15/1.26     ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ ( suc @ A_0 ) ) ) ) ) ) | 
% 2.15/1.26     ( ~( E @ ( f @ B_2 ) @ ( f @ ( suc @ B_2 ) ) ) ) | 
% 2.15/1.26     ( ~( E @ ( f @ A_0 ) @ ( f @ ( suc @ A_0 ) ) ) ) | 
% 2.15/1.26     ( ~( E @ 0 @ ( f @ B_0 ) ) ) | ( ~( E @ 0 @ ( f @ B_2 ) ) ) | 
% 2.15/1.26     ( ~( E @ 0 @ ( f @ ( suc @ A_0 ) ) ) ) | ( ~( E @ 0 @ ( f @ B ) ) ) | 
% 2.15/1.26     ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ B ) ) ) ) ) | 
% 2.15/1.26     ( ~( E @ ( f @ B ) @ ( f @ ( suc @ ( suc @ B ) ) ) ) ) | 
% 2.15/1.26     ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ ( suc @ B_1 ) ) ) ) ) ) | 
% 2.15/1.26     ( ~( E @ 0 @ ( f @ ( suc @ B ) ) ) ) | 
% 2.15/1.26     ( ~( E @ 0 @ ( f @ ( suc @ B_1 ) ) ) ) | 
% 2.15/1.26     ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ B_2 ) ) ) ) ) | 
% 2.15/1.26     ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ B_1 ) ) ) ) ) | 
% 2.15/1.26     ( ~( E @ 0 @ ( f @ A_0 ) ) ) | 
% 2.15/1.26     ( ~( E @ ( f @ B_0 ) @ ( f @ ( suc @ ( suc @ B_0 ) ) ) ) ) | 
% 2.15/1.26     ( ~( iLEQ @ ( suc @ B ) @ ( suc @ B_0 ) ) ) | 
% 2.15/1.26     ( ~( E @ ( f @ B_1 ) @ ( f @ ( suc @ ( suc @ B_1 ) ) ) ) ))).
% 2.15/1.26  thf(zip_derived_cl30, plain,
% 2.15/1.26      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 2.15/1.26          (((((~) @ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0))))))) | 
% 2.15/1.26            (((~) @ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0)))))) | 
% 2.15/1.26            (((~) @ (E @ (f @ X1) @ (f @ (suc @ X1))))) | 
% 2.15/1.26            (((~) @ (iLEQ @ (suc @ X1) @ (suc @ X0)))) | 
% 2.15/1.26            (((~) @ (E @ 0 @ (f @ (suc @ (suc @ X2)))))) | 
% 2.15/1.26            (((~) @ (iLEQ @ (suc @ X3) @ (suc @ X1)))) | 
% 2.15/1.26            (((~) @ (E @ 0 @ (f @ X1)))) | 
% 2.15/1.26            (((~) @ (E @ 0 @ (f @ (suc @ (suc @ X3)))))) | 
% 2.15/1.26            (((~) @ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X3))))))) | 
% 2.15/1.26            (((~) @ (E @ (f @ X3) @ (f @ (suc @ X3))))) | 
% 2.15/1.26            (((~) @ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X4))))))) | 
% 2.15/1.26            (((~) @ (E @ (f @ X4) @ (f @ (suc @ X4))))) | 
% 2.15/1.26            (((~) @ (iLEQ @ (suc @ X2) @ (suc @ X4)))) | 
% 2.15/1.26            (((~) @ (E @ (f @ X2) @ (f @ (suc @ (suc @ X2)))))) | 
% 2.15/1.26            (((~) @ (E @ 0 @ (f @ (suc @ X3))))) | 
% 2.15/1.26            (((~) @ (E @ 0 @ (f @ (suc @ X0))))) | 
% 2.15/1.26            (((~) @ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X2))))))) | 
% 2.15/1.26            (((~) @ (E @ (f @ X0) @ (f @ (suc @ X0))))) | 
% 2.15/1.26            (((~) @ (E @ (f @ X2) @ (f @ (suc @ X2))))) | 
% 2.15/1.26            (((~) @ (E @ 0 @ (f @ X3)))) | (((~) @ (E @ 0 @ (f @ X0)))) | 
% 2.15/1.26            (((~) @ (E @ 0 @ (f @ (suc @ X2))))) | 
% 2.15/1.26            (((~) @ (E @ 0 @ (f @ X4)))) | 
% 2.15/1.26            (((~) @ (E @ 0 @ (f @ (suc @ (suc @ X4)))))) | 
% 2.15/1.26            (((~) @ (E @ (f @ X4) @ (f @ (suc @ (suc @ X4)))))) | 
% 2.15/1.26            (((~) @ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X1))))))) | 
% 2.15/1.26            (((~) @ (E @ 0 @ (f @ (suc @ X4))))) | 
% 2.15/1.26            (((~) @ (E @ 0 @ (f @ (suc @ X1))))) | 
% 2.15/1.26            (((~) @ (E @ 0 @ (f @ (suc @ (suc @ X0)))))) | 
% 2.15/1.26            (((~) @ (E @ 0 @ (f @ (suc @ (suc @ X1)))))) | 
% 2.15/1.26            (((~) @ (E @ 0 @ (f @ X2)))) | 
% 2.15/1.26            (((~) @ (E @ (f @ X3) @ (f @ (suc @ (suc @ X3)))))) | 
% 2.15/1.26            (((~) @ (iLEQ @ (suc @ X4) @ (suc @ X3)))) | 
% 2.15/1.26            (((~) @ (E @ (f @ X1) @ (f @ (suc @ (suc @ X1))))))))),
% 2.15/1.26      inference('cnf', [status(esa)], [clause_1238])).
% 2.15/1.26  thf(clause_1543, axiom, (E @ 0 @ ( f @ A ))).
% 2.15/1.26  thf(zip_derived_cl136, plain, (![X0 : $i]:  (E @ 0 @ (f @ X0))),
% 2.15/1.26      inference('cnf', [status(esa)], [clause_1543])).
% 2.15/1.26  thf(clause_806, axiom,
% 2.15/1.26    (( ~( E @ 0 @ ( f @ ( suc @ ( suc @ A_0 ) ) ) ) ) | 
% 2.15/1.26     ( ~( E @ ( f @ A_0 ) @ ( f @ ( suc @ ( suc @ A_0 ) ) ) ) ) | 
% 2.15/1.26     ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ ( suc @ A_0 ) ) ) ) ) ) | 
% 2.15/1.26     ( ~( E @ ( f @ A_0 ) @ ( f @ ( suc @ A_0 ) ) ) ) | 
% 2.15/1.26     ( ~( E @ 0 @ ( f @ ( suc @ A_0 ) ) ) ) | ( ~( E @ 0 @ ( f @ A_0 ) ) ) | 
% 2.15/1.26     ( iLEQ @ ( suc @ A_0 ) @ ( suc @ A_0 ) ))).
% 2.15/1.26  thf(zip_derived_cl92, plain,
% 2.15/1.26      (![X0 : $i]:
% 2.15/1.26          (((((~) @ (E @ 0 @ (f @ (suc @ (suc @ X0)))))) | 
% 2.15/1.26            (((~) @ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0)))))) | 
% 2.15/1.26            (((~) @ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0))))))) | 
% 2.15/1.26            (((~) @ (E @ (f @ X0) @ (f @ (suc @ X0))))) | 
% 2.15/1.26            (((~) @ (E @ 0 @ (f @ (suc @ X0))))) | 
% 2.15/1.26            (((~) @ (E @ 0 @ (f @ X0)))) | (iLEQ @ (suc @ X0) @ (suc @ X0))))),
% 2.15/1.26      inference('cnf', [status(esa)], [clause_806])).
% 2.15/1.26  thf(zip_derived_cl136, plain, (![X0 : $i]:  (E @ 0 @ (f @ X0))),
% 2.15/1.26      inference('cnf', [status(esa)], [clause_1543])).
% 2.15/1.26  thf(zip_derived_cl136, plain, (![X0 : $i]:  (E @ 0 @ (f @ X0))),
% 2.15/1.26      inference('cnf', [status(esa)], [clause_1543])).
% 2.15/1.26  thf(zip_derived_cl136, plain, (![X0 : $i]:  (E @ 0 @ (f @ X0))),
% 2.15/1.26      inference('cnf', [status(esa)], [clause_1543])).
% 2.15/1.26  thf(zip_derived_cl136, plain, (![X0 : $i]:  (E @ 0 @ (f @ X0))),
% 2.15/1.26      inference('cnf', [status(esa)], [clause_1543])).
% 2.15/1.26  thf(zip_derived_cl254, plain,
% 2.15/1.26      (![X0 : $i]:
% 2.15/1.26          (((((~) @ ($true))) | 
% 2.15/1.26            (((~) @ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0)))))) | 
% 2.15/1.26            (((~) @ ($true))) | (((~) @ (E @ (f @ X0) @ (f @ (suc @ X0))))) | 
% 2.15/1.26            (((~) @ ($true))) | (((~) @ ($true))) | 
% 2.15/1.26            (iLEQ @ (suc @ X0) @ (suc @ X0))))),
% 2.15/1.26      inference('demod', [status(thm)],
% 2.15/1.26                [zip_derived_cl92, zip_derived_cl136, zip_derived_cl136, 
% 2.15/1.26                 zip_derived_cl136, zip_derived_cl136])).
% 2.15/1.26  thf(zip_derived_cl255, plain,
% 2.15/1.26      (![X0 : $i]:
% 2.15/1.26          (((((~) @ (E @ (f @ X0) @ (f @ (suc @ X0))))) | 
% 2.15/1.26            (((~) @ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0)))))) | 
% 2.15/1.26            (iLEQ @ (suc @ X0) @ (suc @ X0))))),
% 2.15/1.26      inference('simplify boolean subterms', [status(thm)], [zip_derived_cl254])).
% 2.15/1.26  thf(zip_derived_cl256, plain,
% 2.15/1.26      (![X0 : $i]:
% 2.15/1.26         (~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 2.15/1.26          | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 2.15/1.26          |  (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 2.15/1.26      inference('lazy_cnf_or', [status(thm)], [zip_derived_cl255])).
% 2.15/1.26  thf(clause_1558, axiom,
% 2.15/1.26    (( ~( E @ 0 @ ( f @ A_0 ) ) ) | ( ~( E @ 0 @ ( f @ ( suc @ A_0 ) ) ) ) | 
% 2.15/1.26     ( E @ ( f @ A_0 ) @ ( f @ ( suc @ A_0 ) ) ) | 
% 2.15/1.26     ( iLEQ @ ( suc @ A_0 ) @ ( suc @ A_0 ) ))).
% 2.15/1.26  thf(zip_derived_cl123, plain,
% 2.15/1.26      (![X0 : $i]:
% 2.15/1.26          (((((~) @ (E @ 0 @ (f @ X0)))) | 
% 2.15/1.26            (((~) @ (E @ 0 @ (f @ (suc @ X0))))) | 
% 2.15/1.26            (E @ (f @ X0) @ (f @ (suc @ X0))) | 
% 2.15/1.26            (iLEQ @ (suc @ X0) @ (suc @ X0))))),
% 2.15/1.26      inference('cnf', [status(esa)], [clause_1558])).
% 2.15/1.26  thf(zip_derived_cl136, plain, (![X0 : $i]:  (E @ 0 @ (f @ X0))),
% 2.15/1.26      inference('cnf', [status(esa)], [clause_1543])).
% 2.15/1.26  thf(zip_derived_cl136, plain, (![X0 : $i]:  (E @ 0 @ (f @ X0))),
% 2.15/1.26      inference('cnf', [status(esa)], [clause_1543])).
% 2.15/1.26  thf(zip_derived_cl247, plain,
% 2.15/1.26      (![X0 : $i]:
% 2.15/1.26          (((((~) @ ($true))) | (((~) @ ($true))) | 
% 2.15/1.26            (E @ (f @ X0) @ (f @ (suc @ X0))) | 
% 2.15/1.26            (iLEQ @ (suc @ X0) @ (suc @ X0))))),
% 2.15/1.26      inference('demod', [status(thm)],
% 2.15/1.26                [zip_derived_cl123, zip_derived_cl136, zip_derived_cl136])).
% 2.15/1.26  thf(zip_derived_cl248, plain,
% 2.15/1.26      (![X0 : $i]:
% 2.15/1.26          (((E @ (f @ X0) @ (f @ (suc @ X0))) | (iLEQ @ (suc @ X0) @ 
% 2.15/1.26            (suc @ X0))))),
% 2.15/1.26      inference('simplify boolean subterms', [status(thm)], [zip_derived_cl247])).
% 2.15/1.26  thf(zip_derived_cl249, plain,
% 2.15/1.26      (![X0 : $i]:
% 2.15/1.26         ( (E @ (f @ X0) @ (f @ (suc @ X0)))
% 2.15/1.26          |  (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 2.15/1.26      inference('lazy_cnf_or', [status(thm)], [zip_derived_cl248])).
% 2.15/1.26  thf(zip_derived_cl257, plain,
% 2.15/1.26      (![X0 : $i]:
% 2.15/1.26         ( (iLEQ @ (suc @ X0) @ (suc @ X0))
% 2.15/1.26          | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0)))))),
% 2.15/1.26      inference('clc', [status(thm)], [zip_derived_cl256, zip_derived_cl249])).
% 2.15/1.26  thf(clause_1548, axiom,
% 2.15/1.26    (( ~( E @ 0 @ ( f @ ( suc @ ( suc @ A_0 ) ) ) ) ) | 
% 2.15/1.26     ( ~( E @ 0 @ ( f @ ( suc @ A_0 ) ) ) ) | 
% 2.15/1.26     ( ~( E @ ( f @ A_0 ) @ ( f @ ( suc @ A_0 ) ) ) ) | 
% 2.15/1.26     ( ~( E @ 0 @ ( f @ A_0 ) ) ) | 
% 2.15/1.26     ( E @ ( f @ A_0 ) @ ( f @ ( suc @ ( suc @ A_0 ) ) ) ) | 
% 2.15/1.26     ( iLEQ @ ( suc @ A_0 ) @ ( suc @ A_0 ) ))).
% 2.15/1.26  thf(zip_derived_cl150, plain,
% 2.15/1.26      (![X0 : $i]:
% 2.15/1.26          (((((~) @ (E @ 0 @ (f @ (suc @ (suc @ X0)))))) | 
% 2.15/1.26            (((~) @ (E @ 0 @ (f @ (suc @ X0))))) | 
% 2.15/1.26            (((~) @ (E @ (f @ X0) @ (f @ (suc @ X0))))) | 
% 2.15/1.26            (((~) @ (E @ 0 @ (f @ X0)))) | 
% 2.15/1.26            (E @ (f @ X0) @ (f @ (suc @ (suc @ X0)))) | 
% 2.15/1.26            (iLEQ @ (suc @ X0) @ (suc @ X0))))),
% 2.15/1.26      inference('cnf', [status(esa)], [clause_1548])).
% 2.15/1.26  thf(zip_derived_cl136, plain, (![X0 : $i]:  (E @ 0 @ (f @ X0))),
% 2.15/1.26      inference('cnf', [status(esa)], [clause_1543])).
% 2.15/1.26  thf(zip_derived_cl136, plain, (![X0 : $i]:  (E @ 0 @ (f @ X0))),
% 2.15/1.26      inference('cnf', [status(esa)], [clause_1543])).
% 2.15/1.26  thf(zip_derived_cl136, plain, (![X0 : $i]:  (E @ 0 @ (f @ X0))),
% 2.15/1.26      inference('cnf', [status(esa)], [clause_1543])).
% 2.15/1.26  thf(zip_derived_cl250, plain,
% 2.15/1.26      (![X0 : $i]:
% 2.15/1.26          (((((~) @ ($true))) | (((~) @ ($true))) | 
% 2.15/1.26            (((~) @ (E @ (f @ X0) @ (f @ (suc @ X0))))) | (((~) @ ($true))) | 
% 2.15/1.26            (E @ (f @ X0) @ (f @ (suc @ (suc @ X0)))) | 
% 2.15/1.26            (iLEQ @ (suc @ X0) @ (suc @ X0))))),
% 2.15/1.26      inference('demod', [status(thm)],
% 2.15/1.26                [zip_derived_cl150, zip_derived_cl136, zip_derived_cl136, 
% 2.15/1.26                 zip_derived_cl136])).
% 2.15/1.26  thf(zip_derived_cl251, plain,
% 2.15/1.26      (![X0 : $i]:
% 2.15/1.26          (((((~) @ (E @ (f @ X0) @ (f @ (suc @ X0))))) | 
% 2.15/1.26            (E @ (f @ X0) @ (f @ (suc @ (suc @ X0)))) | 
% 2.15/1.26            (iLEQ @ (suc @ X0) @ (suc @ X0))))),
% 2.15/1.26      inference('simplify boolean subterms', [status(thm)], [zip_derived_cl250])).
% 2.15/1.26  thf(zip_derived_cl252, plain,
% 2.15/1.26      (![X0 : $i]:
% 2.15/1.26         (~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 2.15/1.26          |  (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 2.15/1.26          |  (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 2.15/1.26      inference('lazy_cnf_or', [status(thm)], [zip_derived_cl251])).
% 2.15/1.26  thf(zip_derived_cl249, plain,
% 2.15/1.26      (![X0 : $i]:
% 2.15/1.26         ( (E @ (f @ X0) @ (f @ (suc @ X0)))
% 2.15/1.26          |  (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 2.15/1.26      inference('lazy_cnf_or', [status(thm)], [zip_derived_cl248])).
% 2.15/1.26  thf(zip_derived_cl253, plain,
% 2.15/1.26      (![X0 : $i]:
% 2.15/1.26         ( (iLEQ @ (suc @ X0) @ (suc @ X0))
% 2.15/1.26          |  (E @ (f @ X0) @ (f @ (suc @ (suc @ X0)))))),
% 2.15/1.26      inference('clc', [status(thm)], [zip_derived_cl252, zip_derived_cl249])).
% 2.15/1.26  thf(zip_derived_cl258, plain,
% 2.15/1.26      (![X0 : $i]:  (iLEQ @ (suc @ X0) @ (suc @ X0))),
% 2.15/1.26      inference('clc', [status(thm)], [zip_derived_cl257, zip_derived_cl253])).
% 2.15/1.26  thf(zip_derived_cl258, plain,
% 2.15/1.26      (![X0 : $i]:  (iLEQ @ (suc @ X0) @ (suc @ X0))),
% 2.15/1.26      inference('clc', [status(thm)], [zip_derived_cl257, zip_derived_cl253])).
% 2.15/1.26  thf(clause_0, axiom,
% 2.15/1.26    (( ~( E @ ( f @ B_1 ) @ ( f @ ( suc @ B_1 ) ) ) ) | 
% 2.15/1.26     ( ~( iLEQ @ ( suc @ B_1 ) @ ( suc @ B_2 ) ) ) | 
% 2.15/1.26     ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ A_0 ) ) ) ) ) | 
% 2.15/1.26     ( ~( iLEQ @ ( suc @ B_0 ) @ ( suc @ B_1 ) ) ) | 
% 2.15/1.26     ( ~( E @ 0 @ ( f @ B_1 ) ) ) | 
% 2.15/1.26     ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ B_0 ) ) ) ) ) | 
% 2.15/1.26     ( ~( E @ ( f @ B_0 ) @ ( f @ ( suc @ B_0 ) ) ) ) | 
% 2.15/1.26     ( ~( E @ ( f @ B ) @ ( f @ ( suc @ B ) ) ) ) | 
% 2.15/1.26     ( ~( iLEQ @ ( suc @ A_0 ) @ ( suc @ B ) ) ) | 
% 2.15/1.26     ( ~( E @ 0 @ ( f @ ( suc @ B_0 ) ) ) ) | 
% 2.15/1.26     ( ~( E @ 0 @ ( f @ ( suc @ B_2 ) ) ) ) | 
% 2.15/1.26     ( ~( E @ ( f @ B_2 ) @ ( f @ ( suc @ B_2 ) ) ) ) | 
% 2.15/1.26     ( ~( E @ ( f @ A_0 ) @ ( f @ ( suc @ A_0 ) ) ) ) | 
% 2.15/1.26     ( ~( E @ 0 @ ( f @ B_0 ) ) ) | ( ~( E @ 0 @ ( f @ B_2 ) ) ) | 
% 2.15/1.26     ( ~( E @ 0 @ ( f @ ( suc @ A_0 ) ) ) ) | ( ~( E @ 0 @ ( f @ B ) ) ) | 
% 2.15/1.26     ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ B ) ) ) ) ) | 
% 2.15/1.26     ( ~( E @ 0 @ ( f @ ( suc @ B ) ) ) ) | 
% 2.15/1.26     ( ~( E @ 0 @ ( f @ ( suc @ B_1 ) ) ) ) | 
% 2.15/1.26     ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ B_2 ) ) ) ) ) | 
% 2.15/1.26     ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ B_1 ) ) ) ) ) | 
% 2.15/1.26     ( ~( E @ 0 @ ( f @ A_0 ) ) ) | 
% 2.15/1.26     ( ~( iLEQ @ ( suc @ B ) @ ( suc @ B_0 ) ) ) | 
% 2.15/1.26     ( E @ ( f @ B_2 ) @ ( f @ ( suc @ ( suc @ B_2 ) ) ) ) | 
% 2.15/1.26     ( E @ ( f @ A_0 ) @ ( f @ ( suc @ ( suc @ A_0 ) ) ) ) | 
% 2.15/1.26     ( E @ ( f @ B ) @ ( f @ ( suc @ ( suc @ B ) ) ) ) | 
% 2.15/1.26     ( E @ ( f @ B_0 ) @ ( f @ ( suc @ ( suc @ B_0 ) ) ) ) | 
% 2.15/1.26     ( E @ ( f @ B_1 ) @ ( f @ ( suc @ ( suc @ B_1 ) ) ) ))).
% 2.15/1.26  thf(zip_derived_cl115, plain,
% 2.15/1.26      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 2.15/1.26          (((((~) @ (E @ (f @ X0) @ (f @ (suc @ X0))))) | 
% 2.15/1.26            (((~) @ (iLEQ @ (suc @ X0) @ (suc @ X1)))) | 
% 2.15/1.26            (((~) @ (E @ 0 @ (f @ (suc @ (suc @ X2)))))) | 
% 2.15/1.26            (((~) @ (iLEQ @ (suc @ X3) @ (suc @ X0)))) | 
% 2.15/1.26            (((~) @ (E @ 0 @ (f @ X0)))) | 
% 2.15/1.26            (((~) @ (E @ 0 @ (f @ (suc @ (suc @ X3)))))) | 
% 2.15/1.26            (((~) @ (E @ (f @ X3) @ (f @ (suc @ X3))))) | 
% 2.15/1.26            (((~) @ (E @ (f @ X4) @ (f @ (suc @ X4))))) | 
% 2.15/1.26            (((~) @ (iLEQ @ (suc @ X2) @ (suc @ X4)))) | 
% 2.15/1.26            (((~) @ (E @ 0 @ (f @ (suc @ X3))))) | 
% 2.15/1.26            (((~) @ (E @ 0 @ (f @ (suc @ X1))))) | 
% 2.15/1.26            (((~) @ (E @ (f @ X1) @ (f @ (suc @ X1))))) | 
% 2.15/1.26            (((~) @ (E @ (f @ X2) @ (f @ (suc @ X2))))) | 
% 2.15/1.26            (((~) @ (E @ 0 @ (f @ X3)))) | (((~) @ (E @ 0 @ (f @ X1)))) | 
% 2.15/1.26            (((~) @ (E @ 0 @ (f @ (suc @ X2))))) | 
% 2.15/1.26            (((~) @ (E @ 0 @ (f @ X4)))) | 
% 2.15/1.26            (((~) @ (E @ 0 @ (f @ (suc @ (suc @ X4)))))) | 
% 2.15/1.26            (((~) @ (E @ 0 @ (f @ (suc @ X4))))) | 
% 2.15/1.26            (((~) @ (E @ 0 @ (f @ (suc @ X0))))) | 
% 2.15/1.26            (((~) @ (E @ 0 @ (f @ (suc @ (suc @ X1)))))) | 
% 2.15/1.26            (((~) @ (E @ 0 @ (f @ (suc @ (suc @ X0)))))) | 
% 2.15/1.26            (((~) @ (E @ 0 @ (f @ X2)))) | 
% 2.15/1.26            (((~) @ (iLEQ @ (suc @ X4) @ (suc @ X3)))) | 
% 2.15/1.26            (E @ (f @ X1) @ (f @ (suc @ (suc @ X1)))) | 
% 2.15/1.26            (E @ (f @ X2) @ (f @ (suc @ (suc @ X2)))) | 
% 2.15/1.26            (E @ (f @ X4) @ (f @ (suc @ (suc @ X4)))) | 
% 2.15/1.26            (E @ (f @ X3) @ (f @ (suc @ (suc @ X3)))) | 
% 2.15/1.26            (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))))),
% 2.15/1.26      inference('cnf', [status(esa)], [clause_0])).
% 2.15/1.26  thf(zip_derived_cl258, plain,
% 2.15/1.26      (![X0 : $i]:  (iLEQ @ (suc @ X0) @ (suc @ X0))),
% 2.15/1.26      inference('clc', [status(thm)], [zip_derived_cl257, zip_derived_cl253])).
% 2.15/1.26  thf(zip_derived_cl258, plain,
% 2.15/1.26      (![X0 : $i]:  (iLEQ @ (suc @ X0) @ (suc @ X0))),
% 2.15/1.26      inference('clc', [status(thm)], [zip_derived_cl257, zip_derived_cl253])).
% 2.15/1.26  thf(clause_891, axiom,
% 2.15/1.26    (( ~( iLEQ @ ( suc @ B_1 ) @ ( suc @ B_2 ) ) ) | 
% 2.15/1.26     ( ~( iLEQ @ ( suc @ B_0 ) @ ( suc @ B_1 ) ) ) | 
% 2.15/1.26     ( ~( E @ 0 @ ( f @ B_1 ) ) ) | 
% 2.15/1.26     ( ~( iLEQ @ ( suc @ A_0 ) @ ( suc @ B ) ) ) | 
% 2.15/1.26     ( ~( E @ 0 @ ( f @ ( suc @ B_0 ) ) ) ) | 
% 2.15/1.26     ( ~( E @ 0 @ ( f @ ( suc @ B_2 ) ) ) ) | ( ~( E @ 0 @ ( f @ B_0 ) ) ) | 
% 2.15/1.26     ( ~( E @ 0 @ ( f @ B_2 ) ) ) | ( ~( E @ 0 @ ( f @ ( suc @ A_0 ) ) ) ) | 
% 2.15/1.26     ( ~( E @ 0 @ ( f @ B ) ) ) | ( ~( E @ 0 @ ( f @ ( suc @ B ) ) ) ) | 
% 2.15/1.26     ( ~( E @ 0 @ ( f @ ( suc @ B_1 ) ) ) ) | ( ~( E @ 0 @ ( f @ A_0 ) ) ) | 
% 2.15/1.26     ( ~( iLEQ @ ( suc @ B ) @ ( suc @ B_0 ) ) ) | 
% 2.15/1.26     ( E @ ( f @ B_1 ) @ ( f @ ( suc @ B_1 ) ) ) | 
% 2.15/1.26     ( E @ ( f @ B_0 ) @ ( f @ ( suc @ B_0 ) ) ) | 
% 2.15/1.26     ( E @ ( f @ B ) @ ( f @ ( suc @ B ) ) ) | 
% 2.15/1.26     ( E @ ( f @ B_2 ) @ ( f @ ( suc @ B_2 ) ) ) | 
% 2.15/1.26     ( E @ ( f @ A_0 ) @ ( f @ ( suc @ A_0 ) ) ))).
% 2.15/1.26  thf(zip_derived_cl242, plain,
% 2.15/1.26      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 2.15/1.26          (((((~) @ (iLEQ @ (suc @ X0) @ (suc @ X1)))) | 
% 2.15/1.26            (((~) @ (iLEQ @ (suc @ X2) @ (suc @ X0)))) | 
% 2.15/1.26            (((~) @ (E @ 0 @ (f @ X0)))) | 
% 2.15/1.26            (((~) @ (iLEQ @ (suc @ X3) @ (suc @ X4)))) | 
% 2.15/1.26            (((~) @ (E @ 0 @ (f @ (suc @ X2))))) | 
% 2.15/1.26            (((~) @ (E @ 0 @ (f @ (suc @ X1))))) | 
% 2.15/1.26            (((~) @ (E @ 0 @ (f @ X2)))) | (((~) @ (E @ 0 @ (f @ X1)))) | 
% 2.15/1.26            (((~) @ (E @ 0 @ (f @ (suc @ X3))))) | 
% 2.15/1.26            (((~) @ (E @ 0 @ (f @ X4)))) | 
% 2.15/1.26            (((~) @ (E @ 0 @ (f @ (suc @ X4))))) | 
% 2.15/1.26            (((~) @ (E @ 0 @ (f @ (suc @ X0))))) | 
% 2.15/1.26            (((~) @ (E @ 0 @ (f @ X3)))) | 
% 2.15/1.26            (((~) @ (iLEQ @ (suc @ X4) @ (suc @ X2)))) | 
% 2.15/1.26            (E @ (f @ X0) @ (f @ (suc @ X0))) | 
% 2.15/1.26            (E @ (f @ X2) @ (f @ (suc @ X2))) | 
% 2.15/1.26            (E @ (f @ X4) @ (f @ (suc @ X4))) | 
% 2.15/1.26            (E @ (f @ X1) @ (f @ (suc @ X1))) | 
% 2.15/1.26            (E @ (f @ X3) @ (f @ (suc @ X3)))))),
% 2.15/1.26      inference('cnf', [status(esa)], [clause_891])).
% 2.15/1.26  thf(zip_derived_cl136, plain, (![X0 : $i]:  (E @ 0 @ (f @ X0))),
% 2.15/1.26      inference('cnf', [status(esa)], [clause_1543])).
% 2.15/1.26  thf(zip_derived_cl136, plain, (![X0 : $i]:  (E @ 0 @ (f @ X0))),
% 2.15/1.26      inference('cnf', [status(esa)], [clause_1543])).
% 2.15/1.26  thf(zip_derived_cl136, plain, (![X0 : $i]:  (E @ 0 @ (f @ X0))),
% 2.15/1.26      inference('cnf', [status(esa)], [clause_1543])).
% 2.15/1.26  thf(zip_derived_cl136, plain, (![X0 : $i]:  (E @ 0 @ (f @ X0))),
% 2.15/1.26      inference('cnf', [status(esa)], [clause_1543])).
% 2.15/1.26  thf(zip_derived_cl136, plain, (![X0 : $i]:  (E @ 0 @ (f @ X0))),
% 2.15/1.26      inference('cnf', [status(esa)], [clause_1543])).
% 2.15/1.26  thf(zip_derived_cl136, plain, (![X0 : $i]:  (E @ 0 @ (f @ X0))),
% 2.15/1.26      inference('cnf', [status(esa)], [clause_1543])).
% 2.15/1.26  thf(zip_derived_cl136, plain, (![X0 : $i]:  (E @ 0 @ (f @ X0))),
% 2.15/1.26      inference('cnf', [status(esa)], [clause_1543])).
% 2.15/1.26  thf(zip_derived_cl136, plain, (![X0 : $i]:  (E @ 0 @ (f @ X0))),
% 2.15/1.26      inference('cnf', [status(esa)], [clause_1543])).
% 2.15/1.26  thf(zip_derived_cl136, plain, (![X0 : $i]:  (E @ 0 @ (f @ X0))),
% 2.15/1.26      inference('cnf', [status(esa)], [clause_1543])).
% 2.15/1.26  thf(zip_derived_cl136, plain, (![X0 : $i]:  (E @ 0 @ (f @ X0))),
% 2.15/1.26      inference('cnf', [status(esa)], [clause_1543])).
% 2.15/1.26  thf(zip_derived_cl259, plain,
% 2.15/1.26      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 2.15/1.26          (((((~) @ (iLEQ @ (suc @ X0) @ (suc @ X1)))) | 
% 2.15/1.26            (((~) @ (iLEQ @ (suc @ X2) @ (suc @ X0)))) | (((~) @ ($true))) | 
% 2.15/1.26            (((~) @ (iLEQ @ (suc @ X3) @ (suc @ X4)))) | (((~) @ ($true))) | 
% 2.15/1.26            (((~) @ ($true))) | (((~) @ ($true))) | (((~) @ ($true))) | 
% 2.15/1.26            (((~) @ ($true))) | (((~) @ ($true))) | (((~) @ ($true))) | 
% 2.15/1.26            (((~) @ ($true))) | (((~) @ ($true))) | 
% 2.15/1.26            (((~) @ (iLEQ @ (suc @ X4) @ (suc @ X2)))) | 
% 2.15/1.26            (E @ (f @ X0) @ (f @ (suc @ X0))) | 
% 2.15/1.26            (E @ (f @ X2) @ (f @ (suc @ X2))) | 
% 2.15/1.26            (E @ (f @ X4) @ (f @ (suc @ X4))) | 
% 2.15/1.26            (E @ (f @ X1) @ (f @ (suc @ X1))) | 
% 2.15/1.26            (E @ (f @ X3) @ (f @ (suc @ X3)))))),
% 2.15/1.26      inference('demod', [status(thm)],
% 2.15/1.26                [zip_derived_cl242, zip_derived_cl136, zip_derived_cl136, 
% 2.15/1.26                 zip_derived_cl136, zip_derived_cl136, zip_derived_cl136, 
% 2.15/1.26                 zip_derived_cl136, zip_derived_cl136, zip_derived_cl136, 
% 2.15/1.26                 zip_derived_cl136, zip_derived_cl136])).
% 2.15/1.26  thf(zip_derived_cl260, plain,
% 2.15/1.26      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 2.15/1.26          (((E @ (f @ X0) @ (f @ (suc @ X0))) | 
% 2.15/1.26            (((~) @ (iLEQ @ (suc @ X0) @ (suc @ X1)))) | 
% 2.15/1.26            (E @ (f @ X1) @ (f @ (suc @ X1))) | 
% 2.15/1.26            (E @ (f @ X2) @ (f @ (suc @ X2))) | 
% 2.15/1.26            (E @ (f @ X4) @ (f @ (suc @ X4))) | 
% 2.15/1.26            (E @ (f @ X3) @ (f @ (suc @ X3))) | 
% 2.15/1.26            (((~) @ (iLEQ @ (suc @ X2) @ (suc @ X0)))) | 
% 2.15/1.26            (((~) @ (iLEQ @ (suc @ X3) @ (suc @ X4)))) | 
% 2.15/1.26            (((~) @ (iLEQ @ (suc @ X4) @ (suc @ X2))))))),
% 2.15/1.26      inference('simplify boolean subterms', [status(thm)], [zip_derived_cl259])).
% 2.15/1.26  thf(zip_derived_cl261, plain,
% 2.15/1.26      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 2.15/1.26         ( (E @ (f @ X0) @ (f @ (suc @ X0)))
% 2.15/1.26          | ~ (iLEQ @ (suc @ X0) @ (suc @ X1))
% 2.15/1.26          |  (E @ (f @ X1) @ (f @ (suc @ X1)))
% 2.15/1.26          |  (E @ (f @ X2) @ (f @ (suc @ X2)))
% 2.15/1.26          |  (E @ (f @ X4) @ (f @ (suc @ X4)))
% 2.15/1.26          |  (E @ (f @ X3) @ (f @ (suc @ X3)))
% 2.15/1.26          | ~ (iLEQ @ (suc @ X2) @ (suc @ X0))
% 2.15/1.26          | ~ (iLEQ @ (suc @ X3) @ (suc @ X4))
% 2.15/1.26          | ~ (iLEQ @ (suc @ X4) @ (suc @ X2)))),
% 2.15/1.26      inference('lazy_cnf_or', [status(thm)], [zip_derived_cl260])).
% 2.15/1.26  thf(zip_derived_cl263, plain,
% 2.15/1.26      (![X0 : $i, X1 : $i, X2 : $i]:
% 2.15/1.26         (~ (iLEQ @ (suc @ X0) @ (suc @ X2))
% 2.15/1.26          | ~ (iLEQ @ (suc @ X1) @ (suc @ X0))
% 2.15/1.26          | ~ (iLEQ @ (suc @ X2) @ (suc @ X1))
% 2.15/1.26          |  (E @ (f @ X1) @ (f @ (suc @ X1)))
% 2.15/1.26          |  (E @ (f @ X0) @ (f @ (suc @ X0)))
% 2.15/1.26          |  (E @ (f @ X2) @ (f @ (suc @ X2)))
% 2.15/1.26          |  (E @ (f @ X0) @ (f @ (suc @ X0)))
% 2.15/1.26          |  (E @ (f @ X1) @ (f @ (suc @ X1))))),
% 2.15/1.26      inference('eq_fact', [status(thm)], [zip_derived_cl261])).
% 2.15/1.26  thf(zip_derived_cl265, plain,
% 2.15/1.26      (![X0 : $i, X1 : $i, X2 : $i]:
% 2.15/1.26         ( (E @ (f @ X2) @ (f @ (suc @ X2)))
% 2.15/1.26          |  (E @ (f @ X0) @ (f @ (suc @ X0)))
% 2.15/1.26          |  (E @ (f @ X1) @ (f @ (suc @ X1)))
% 2.15/1.26          | ~ (iLEQ @ (suc @ X2) @ (suc @ X1))
% 2.15/1.26          | ~ (iLEQ @ (suc @ X1) @ (suc @ X0))
% 2.15/1.26          | ~ (iLEQ @ (suc @ X0) @ (suc @ X2)))),
% 2.15/1.26      inference('simplify', [status(thm)], [zip_derived_cl263])).
% 2.15/1.26  thf(zip_derived_cl275, plain,
% 2.15/1.26      (![X0 : $i, X1 : $i]:
% 2.15/1.26         ( (E @ (f @ X0) @ (f @ (suc @ X0)))
% 2.15/1.26          |  (E @ (f @ X1) @ (f @ (suc @ X1)))
% 2.15/1.26          |  (E @ (f @ X0) @ (f @ (suc @ X0)))
% 2.15/1.26          | ~ (iLEQ @ (suc @ X0) @ (suc @ X1))
% 2.15/1.26          | ~ (iLEQ @ (suc @ X1) @ (suc @ X0)))),
% 2.15/1.26      inference('s_sup-', [status(thm)], [zip_derived_cl258, zip_derived_cl265])).
% 2.15/1.26  thf(zip_derived_cl276, plain,
% 2.15/1.26      (![X0 : $i, X1 : $i]:
% 2.15/1.26         (~ (iLEQ @ (suc @ X1) @ (suc @ X0))
% 2.15/1.26          | ~ (iLEQ @ (suc @ X0) @ (suc @ X1))
% 2.15/1.26          |  (E @ (f @ X1) @ (f @ (suc @ X1)))
% 2.15/1.26          |  (E @ (f @ X0) @ (f @ (suc @ X0))))),
% 2.15/1.26      inference('simplify', [status(thm)], [zip_derived_cl275])).
% 2.15/1.26  thf(zip_derived_cl292, plain,
% 2.15/1.26      (![X0 : $i]:
% 2.15/1.26         ( (E @ (f @ X0) @ (f @ (suc @ X0)))
% 2.15/1.26          |  (E @ (f @ X0) @ (f @ (suc @ X0))))),
% 2.15/1.26      inference('s_sup-', [status(thm)], [zip_derived_cl258, zip_derived_cl276])).
% 2.15/1.26  thf(zip_derived_cl293, plain,
% 2.15/1.26      (![X0 : $i]:  (E @ (f @ X0) @ (f @ (suc @ X0)))),
% 2.15/1.26      inference('simplify', [status(thm)], [zip_derived_cl292])).
% 2.15/1.26  thf(zip_derived_cl136, plain, (![X0 : $i]:  (E @ 0 @ (f @ X0))),
% 2.15/1.26      inference('cnf', [status(esa)], [clause_1543])).
% 2.15/1.26  thf(zip_derived_cl136, plain, (![X0 : $i]:  (E @ 0 @ (f @ X0))),
% 2.15/1.26      inference('cnf', [status(esa)], [clause_1543])).
% 2.15/1.26  thf(zip_derived_cl136, plain, (![X0 : $i]:  (E @ 0 @ (f @ X0))),
% 2.15/1.26      inference('cnf', [status(esa)], [clause_1543])).
% 2.15/1.26  thf(zip_derived_cl293, plain,
% 2.15/1.26      (![X0 : $i]:  (E @ (f @ X0) @ (f @ (suc @ X0)))),
% 2.15/1.26      inference('simplify', [status(thm)], [zip_derived_cl292])).
% 2.15/1.26  thf(zip_derived_cl293, plain,
% 2.15/1.26      (![X0 : $i]:  (E @ (f @ X0) @ (f @ (suc @ X0)))),
% 2.15/1.26      inference('simplify', [status(thm)], [zip_derived_cl292])).
% 2.15/1.26  thf(zip_derived_cl136, plain, (![X0 : $i]:  (E @ 0 @ (f @ X0))),
% 2.15/1.26      inference('cnf', [status(esa)], [clause_1543])).
% 2.15/1.26  thf(zip_derived_cl136, plain, (![X0 : $i]:  (E @ 0 @ (f @ X0))),
% 2.15/1.26      inference('cnf', [status(esa)], [clause_1543])).
% 2.15/1.26  thf(zip_derived_cl293, plain,
% 2.15/1.26      (![X0 : $i]:  (E @ (f @ X0) @ (f @ (suc @ X0)))),
% 2.15/1.26      inference('simplify', [status(thm)], [zip_derived_cl292])).
% 2.15/1.26  thf(zip_derived_cl293, plain,
% 2.15/1.26      (![X0 : $i]:  (E @ (f @ X0) @ (f @ (suc @ X0)))),
% 2.15/1.26      inference('simplify', [status(thm)], [zip_derived_cl292])).
% 2.15/1.26  thf(zip_derived_cl136, plain, (![X0 : $i]:  (E @ 0 @ (f @ X0))),
% 2.15/1.26      inference('cnf', [status(esa)], [clause_1543])).
% 2.15/1.26  thf(zip_derived_cl136, plain, (![X0 : $i]:  (E @ 0 @ (f @ X0))),
% 2.15/1.26      inference('cnf', [status(esa)], [clause_1543])).
% 2.15/1.26  thf(zip_derived_cl136, plain, (![X0 : $i]:  (E @ 0 @ (f @ X0))),
% 2.15/1.26      inference('cnf', [status(esa)], [clause_1543])).
% 2.15/1.26  thf(zip_derived_cl136, plain, (![X0 : $i]:  (E @ 0 @ (f @ X0))),
% 2.15/1.26      inference('cnf', [status(esa)], [clause_1543])).
% 2.15/1.26  thf(zip_derived_cl136, plain, (![X0 : $i]:  (E @ 0 @ (f @ X0))),
% 2.15/1.26      inference('cnf', [status(esa)], [clause_1543])).
% 2.15/1.26  thf(zip_derived_cl136, plain, (![X0 : $i]:  (E @ 0 @ (f @ X0))),
% 2.15/1.26      inference('cnf', [status(esa)], [clause_1543])).
% 2.15/1.26  thf(zip_derived_cl136, plain, (![X0 : $i]:  (E @ 0 @ (f @ X0))),
% 2.15/1.26      inference('cnf', [status(esa)], [clause_1543])).
% 2.15/1.26  thf(zip_derived_cl136, plain, (![X0 : $i]:  (E @ 0 @ (f @ X0))),
% 2.15/1.26      inference('cnf', [status(esa)], [clause_1543])).
% 2.15/1.26  thf(zip_derived_cl136, plain, (![X0 : $i]:  (E @ 0 @ (f @ X0))),
% 2.15/1.26      inference('cnf', [status(esa)], [clause_1543])).
% 2.15/1.26  thf(zip_derived_cl136, plain, (![X0 : $i]:  (E @ 0 @ (f @ X0))),
% 2.15/1.26      inference('cnf', [status(esa)], [clause_1543])).
% 2.15/1.26  thf(zip_derived_cl643, plain,
% 2.15/1.26      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 2.15/1.26          (((((~) @ ($true))) | (((~) @ (iLEQ @ (suc @ X0) @ (suc @ X1)))) | 
% 2.15/1.26            (((~) @ ($true))) | (((~) @ (iLEQ @ (suc @ X3) @ (suc @ X0)))) | 
% 2.15/1.26            (((~) @ ($true))) | (((~) @ ($true))) | (((~) @ ($true))) | 
% 2.15/1.26            (((~) @ ($true))) | (((~) @ (iLEQ @ (suc @ X2) @ (suc @ X4)))) | 
% 2.15/1.26            (((~) @ ($true))) | (((~) @ ($true))) | (((~) @ ($true))) | 
% 2.15/1.26            (((~) @ ($true))) | (((~) @ ($true))) | (((~) @ ($true))) | 
% 2.15/1.26            (((~) @ ($true))) | (((~) @ ($true))) | (((~) @ ($true))) | 
% 2.15/1.26            (((~) @ ($true))) | (((~) @ ($true))) | (((~) @ ($true))) | 
% 2.15/1.26            (((~) @ ($true))) | (((~) @ ($true))) | 
% 2.15/1.26            (((~) @ (iLEQ @ (suc @ X4) @ (suc @ X3)))) | 
% 2.15/1.26            (E @ (f @ X1) @ (f @ (suc @ (suc @ X1)))) | 
% 2.15/1.26            (E @ (f @ X2) @ (f @ (suc @ (suc @ X2)))) | 
% 2.15/1.26            (E @ (f @ X4) @ (f @ (suc @ (suc @ X4)))) | 
% 2.15/1.26            (E @ (f @ X3) @ (f @ (suc @ (suc @ X3)))) | 
% 2.15/1.26            (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))))),
% 2.15/1.26      inference('demod', [status(thm)],
% 2.15/1.26                [zip_derived_cl115, zip_derived_cl293, zip_derived_cl136, 
% 2.15/1.26                 zip_derived_cl136, zip_derived_cl136, zip_derived_cl293, 
% 2.15/1.26                 zip_derived_cl293, zip_derived_cl136, zip_derived_cl136, 
% 2.15/1.26                 zip_derived_cl293, zip_derived_cl293, zip_derived_cl136, 
% 2.15/1.26                 zip_derived_cl136, zip_derived_cl136, zip_derived_cl136, 
% 2.15/1.26                 zip_derived_cl136, zip_derived_cl136, zip_derived_cl136, 
% 2.15/1.26                 zip_derived_cl136, zip_derived_cl136, zip_derived_cl136])).
% 2.15/1.26  thf(zip_derived_cl644, plain,
% 2.15/1.26      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 2.15/1.26          (((((~) @ (iLEQ @ (suc @ X0) @ (suc @ X1)))) | 
% 2.15/1.26            (((~) @ (iLEQ @ (suc @ X3) @ (suc @ X0)))) | 
% 2.15/1.26            (((~) @ (iLEQ @ (suc @ X2) @ (suc @ X4)))) | 
% 2.15/1.26            (E @ (f @ X2) @ (f @ (suc @ (suc @ X2)))) | 
% 2.15/1.26            (((~) @ (iLEQ @ (suc @ X4) @ (suc @ X3)))) | 
% 2.15/1.26            (E @ (f @ X0) @ (f @ (suc @ (suc @ X0)))) | 
% 2.15/1.26            (E @ (f @ X1) @ (f @ (suc @ (suc @ X1)))) | 
% 2.15/1.26            (E @ (f @ X3) @ (f @ (suc @ (suc @ X3)))) | 
% 2.15/1.26            (E @ (f @ X4) @ (f @ (suc @ (suc @ X4))))))),
% 2.15/1.26      inference('simplify boolean subterms', [status(thm)], [zip_derived_cl643])).
% 2.15/1.26  thf(zip_derived_cl645, plain,
% 2.15/1.26      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 2.15/1.26         (~ (iLEQ @ (suc @ X0) @ (suc @ X1))
% 2.15/1.26          | ~ (iLEQ @ (suc @ X3) @ (suc @ X0))
% 2.15/1.26          | ~ (iLEQ @ (suc @ X2) @ (suc @ X4))
% 2.15/1.26          |  (E @ (f @ X2) @ (f @ (suc @ (suc @ X2))))
% 2.15/1.26          | ~ (iLEQ @ (suc @ X4) @ (suc @ X3))
% 2.15/1.26          |  (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 2.15/1.26          |  (E @ (f @ X1) @ (f @ (suc @ (suc @ X1))))
% 2.15/1.26          |  (E @ (f @ X3) @ (f @ (suc @ (suc @ X3))))
% 2.15/1.26          |  (E @ (f @ X4) @ (f @ (suc @ (suc @ X4)))))),
% 2.15/1.26      inference('lazy_cnf_or', [status(thm)], [zip_derived_cl644])).
% 2.15/1.26  thf(zip_derived_cl647, plain,
% 2.15/1.26      (![X0 : $i, X1 : $i, X2 : $i]:
% 2.15/1.26         ( (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 2.15/1.26          |  (E @ (f @ X2) @ (f @ (suc @ (suc @ X2))))
% 2.15/1.26          |  (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 2.15/1.26          |  (E @ (f @ X1) @ (f @ (suc @ (suc @ X1))))
% 2.15/1.26          | ~ (iLEQ @ (suc @ X0) @ (suc @ X2))
% 2.15/1.26          |  (E @ (f @ X1) @ (f @ (suc @ (suc @ X1))))
% 2.15/1.26          | ~ (iLEQ @ (suc @ X1) @ (suc @ X0))
% 2.15/1.26          | ~ (iLEQ @ (suc @ X2) @ (suc @ X1)))),
% 2.15/1.26      inference('eq_fact', [status(thm)], [zip_derived_cl645])).
% 2.15/1.26  thf(zip_derived_cl649, plain,
% 2.15/1.26      (![X0 : $i, X1 : $i, X2 : $i]:
% 2.15/1.26         (~ (iLEQ @ (suc @ X2) @ (suc @ X1))
% 2.15/1.26          | ~ (iLEQ @ (suc @ X1) @ (suc @ X0))
% 2.15/1.26          | ~ (iLEQ @ (suc @ X0) @ (suc @ X2))
% 2.15/1.26          |  (E @ (f @ X1) @ (f @ (suc @ (suc @ X1))))
% 2.15/1.26          |  (E @ (f @ X2) @ (f @ (suc @ (suc @ X2))))
% 2.15/1.26          |  (E @ (f @ X0) @ (f @ (suc @ (suc @ X0)))))),
% 2.15/1.26      inference('simplify', [status(thm)], [zip_derived_cl647])).
% 2.15/1.26  thf(zip_derived_cl658, plain,
% 2.15/1.26      (![X0 : $i, X1 : $i]:
% 2.15/1.26         (~ (iLEQ @ (suc @ X0) @ (suc @ X1))
% 2.15/1.26          | ~ (iLEQ @ (suc @ X1) @ (suc @ X0))
% 2.15/1.26          |  (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 2.15/1.26          |  (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 2.15/1.26          |  (E @ (f @ X1) @ (f @ (suc @ (suc @ X1)))))),
% 2.15/1.26      inference('s_sup-', [status(thm)], [zip_derived_cl258, zip_derived_cl649])).
% 2.15/1.26  thf(zip_derived_cl659, plain,
% 2.15/1.26      (![X0 : $i, X1 : $i]:
% 2.15/1.26         ( (E @ (f @ X1) @ (f @ (suc @ (suc @ X1))))
% 2.15/1.26          |  (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 2.15/1.26          | ~ (iLEQ @ (suc @ X1) @ (suc @ X0))
% 2.15/1.26          | ~ (iLEQ @ (suc @ X0) @ (suc @ X1)))),
% 2.15/1.26      inference('simplify', [status(thm)], [zip_derived_cl658])).
% 2.15/1.26  thf(clause_1312, axiom,
% 2.15/1.26    (( ~( E @ 0 @ ( f @ ( suc @ ( suc @ ( suc @ B_2 ) ) ) ) ) ) | 
% 2.15/1.26     ( ~( E @ ( f @ B_2 ) @ ( f @ ( suc @ ( suc @ B_2 ) ) ) ) ) | 
% 2.15/1.26     ( ~( E @ ( f @ B_1 ) @ ( f @ ( suc @ B_1 ) ) ) ) | 
% 2.15/1.26     ( ~( iLEQ @ ( suc @ B_1 ) @ ( suc @ B_2 ) ) ) | 
% 2.15/1.26     ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ A_0 ) ) ) ) ) | 
% 2.15/1.26     ( ~( iLEQ @ ( suc @ B_0 ) @ ( suc @ B_1 ) ) ) | 
% 2.15/1.26     ( ~( E @ 0 @ ( f @ B_1 ) ) ) | 
% 2.15/1.26     ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ B_0 ) ) ) ) ) | 
% 2.15/1.26     ( ~( E @ ( f @ B_0 ) @ ( f @ ( suc @ B_0 ) ) ) ) | 
% 2.15/1.26     ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ ( suc @ B ) ) ) ) ) ) | 
% 2.15/1.26     ( ~( E @ ( f @ B ) @ ( f @ ( suc @ B ) ) ) ) | 
% 2.15/1.26     ( ~( iLEQ @ ( suc @ A_0 ) @ ( suc @ B ) ) ) | 
% 2.15/1.26     ( ~( E @ ( f @ A_0 ) @ ( f @ ( suc @ ( suc @ A_0 ) ) ) ) ) | 
% 2.15/1.26     ( ~( E @ 0 @ ( f @ ( suc @ B_0 ) ) ) ) | 
% 2.15/1.26     ( ~( E @ 0 @ ( f @ ( suc @ B_2 ) ) ) ) | 
% 2.15/1.26     ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ ( suc @ A_0 ) ) ) ) ) ) | 
% 2.15/1.26     ( ~( E @ ( f @ B_2 ) @ ( f @ ( suc @ B_2 ) ) ) ) | 
% 2.15/1.26     ( ~( E @ ( f @ A_0 ) @ ( f @ ( suc @ A_0 ) ) ) ) | 
% 2.15/1.26     ( ~( E @ 0 @ ( f @ B_0 ) ) ) | ( ~( E @ 0 @ ( f @ B_2 ) ) ) | 
% 2.15/1.26     ( ~( E @ 0 @ ( f @ ( suc @ A_0 ) ) ) ) | ( ~( E @ 0 @ ( f @ B ) ) ) | 
% 2.15/1.26     ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ B ) ) ) ) ) | 
% 2.15/1.26     ( ~( E @ ( f @ B ) @ ( f @ ( suc @ ( suc @ B ) ) ) ) ) | 
% 2.15/1.26     ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ ( suc @ B_1 ) ) ) ) ) ) | 
% 2.15/1.26     ( ~( E @ 0 @ ( f @ ( suc @ B ) ) ) ) | 
% 2.15/1.26     ( ~( E @ 0 @ ( f @ ( suc @ B_1 ) ) ) ) | 
% 2.15/1.26     ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ B_2 ) ) ) ) ) | 
% 2.15/1.26     ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ B_1 ) ) ) ) ) | 
% 2.15/1.26     ( ~( E @ 0 @ ( f @ A_0 ) ) ) | 
% 2.15/1.26     ( ~( iLEQ @ ( suc @ B ) @ ( suc @ B_0 ) ) ) | 
% 2.15/1.26     ( ~( E @ ( f @ B_1 ) @ ( f @ ( suc @ ( suc @ B_1 ) ) ) ) ) | 
% 2.15/1.26     ( E @ ( f @ B_0 ) @ ( f @ ( suc @ ( suc @ B_0 ) ) ) ))).
% 2.15/1.26  thf(zip_derived_cl23, plain,
% 2.15/1.26      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 2.15/1.26          (((((~) @ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0))))))) | 
% 2.15/1.26            (((~) @ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0)))))) | 
% 2.15/1.26            (((~) @ (E @ (f @ X1) @ (f @ (suc @ X1))))) | 
% 2.15/1.26            (((~) @ (iLEQ @ (suc @ X1) @ (suc @ X0)))) | 
% 2.15/1.26            (((~) @ (E @ 0 @ (f @ (suc @ (suc @ X2)))))) | 
% 2.15/1.26            (((~) @ (iLEQ @ (suc @ X3) @ (suc @ X1)))) | 
% 2.15/1.26            (((~) @ (E @ 0 @ (f @ X1)))) | 
% 2.15/1.26            (((~) @ (E @ 0 @ (f @ (suc @ (suc @ X3)))))) | 
% 2.15/1.26            (((~) @ (E @ (f @ X3) @ (f @ (suc @ X3))))) | 
% 2.15/1.26            (((~) @ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X4))))))) | 
% 2.15/1.26            (((~) @ (E @ (f @ X4) @ (f @ (suc @ X4))))) | 
% 2.15/1.26            (((~) @ (iLEQ @ (suc @ X2) @ (suc @ X4)))) | 
% 2.15/1.26            (((~) @ (E @ (f @ X2) @ (f @ (suc @ (suc @ X2)))))) | 
% 2.15/1.26            (((~) @ (E @ 0 @ (f @ (suc @ X3))))) | 
% 2.15/1.26            (((~) @ (E @ 0 @ (f @ (suc @ X0))))) | 
% 2.15/1.26            (((~) @ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X2))))))) | 
% 2.15/1.26            (((~) @ (E @ (f @ X0) @ (f @ (suc @ X0))))) | 
% 2.15/1.26            (((~) @ (E @ (f @ X2) @ (f @ (suc @ X2))))) | 
% 2.15/1.26            (((~) @ (E @ 0 @ (f @ X3)))) | (((~) @ (E @ 0 @ (f @ X0)))) | 
% 2.15/1.26            (((~) @ (E @ 0 @ (f @ (suc @ X2))))) | 
% 2.15/1.26            (((~) @ (E @ 0 @ (f @ X4)))) | 
% 2.15/1.26            (((~) @ (E @ 0 @ (f @ (suc @ (suc @ X4)))))) | 
% 2.15/1.26            (((~) @ (E @ (f @ X4) @ (f @ (suc @ (suc @ X4)))))) | 
% 2.15/1.26            (((~) @ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X1))))))) | 
% 2.15/1.26            (((~) @ (E @ 0 @ (f @ (suc @ X4))))) | 
% 2.15/1.26            (((~) @ (E @ 0 @ (f @ (suc @ X1))))) | 
% 2.15/1.26            (((~) @ (E @ 0 @ (f @ (suc @ (suc @ X0)))))) | 
% 2.15/1.26            (((~) @ (E @ 0 @ (f @ (suc @ (suc @ X1)))))) | 
% 2.15/1.26            (((~) @ (E @ 0 @ (f @ X2)))) | 
% 2.15/1.26            (((~) @ (iLEQ @ (suc @ X4) @ (suc @ X3)))) | 
% 2.15/1.26            (((~) @ (E @ (f @ X1) @ (f @ (suc @ (suc @ X1)))))) | 
% 2.15/1.26            (E @ (f @ X3) @ (f @ (suc @ (suc @ X3))))))),
% 2.15/1.26      inference('cnf', [status(esa)], [clause_1312])).
% 2.15/1.26  thf(zip_derived_cl136, plain, (![X0 : $i]:  (E @ 0 @ (f @ X0))),
% 2.15/1.26      inference('cnf', [status(esa)], [clause_1543])).
% 2.15/1.26  thf(zip_derived_cl293, plain,
% 2.15/1.26      (![X0 : $i]:  (E @ (f @ X0) @ (f @ (suc @ X0)))),
% 2.15/1.26      inference('simplify', [status(thm)], [zip_derived_cl292])).
% 2.15/1.26  thf(zip_derived_cl136, plain, (![X0 : $i]:  (E @ 0 @ (f @ X0))),
% 2.15/1.26      inference('cnf', [status(esa)], [clause_1543])).
% 2.15/1.26  thf(zip_derived_cl136, plain, (![X0 : $i]:  (E @ 0 @ (f @ X0))),
% 2.15/1.26      inference('cnf', [status(esa)], [clause_1543])).
% 2.15/1.26  thf(zip_derived_cl136, plain, (![X0 : $i]:  (E @ 0 @ (f @ X0))),
% 2.15/1.26      inference('cnf', [status(esa)], [clause_1543])).
% 2.15/1.26  thf(zip_derived_cl293, plain,
% 2.15/1.26      (![X0 : $i]:  (E @ (f @ X0) @ (f @ (suc @ X0)))),
% 2.15/1.26      inference('simplify', [status(thm)], [zip_derived_cl292])).
% 2.15/1.26  thf(zip_derived_cl136, plain, (![X0 : $i]:  (E @ 0 @ (f @ X0))),
% 2.15/1.26      inference('cnf', [status(esa)], [clause_1543])).
% 2.15/1.26  thf(zip_derived_cl293, plain,
% 2.15/1.26      (![X0 : $i]:  (E @ (f @ X0) @ (f @ (suc @ X0)))),
% 2.15/1.26      inference('simplify', [status(thm)], [zip_derived_cl292])).
% 2.15/1.26  thf(zip_derived_cl136, plain, (![X0 : $i]:  (E @ 0 @ (f @ X0))),
% 2.15/1.26      inference('cnf', [status(esa)], [clause_1543])).
% 2.15/1.26  thf(zip_derived_cl136, plain, (![X0 : $i]:  (E @ 0 @ (f @ X0))),
% 2.15/1.26      inference('cnf', [status(esa)], [clause_1543])).
% 2.15/1.26  thf(zip_derived_cl136, plain, (![X0 : $i]:  (E @ 0 @ (f @ X0))),
% 2.15/1.26      inference('cnf', [status(esa)], [clause_1543])).
% 2.15/1.26  thf(zip_derived_cl293, plain,
% 2.15/1.26      (![X0 : $i]:  (E @ (f @ X0) @ (f @ (suc @ X0)))),
% 2.15/1.26      inference('simplify', [status(thm)], [zip_derived_cl292])).
% 2.15/1.26  thf(zip_derived_cl293, plain,
% 2.15/1.26      (![X0 : $i]:  (E @ (f @ X0) @ (f @ (suc @ X0)))),
% 2.15/1.26      inference('simplify', [status(thm)], [zip_derived_cl292])).
% 2.15/1.26  thf(zip_derived_cl136, plain, (![X0 : $i]:  (E @ 0 @ (f @ X0))),
% 2.15/1.26      inference('cnf', [status(esa)], [clause_1543])).
% 2.15/1.26  thf(zip_derived_cl136, plain, (![X0 : $i]:  (E @ 0 @ (f @ X0))),
% 2.15/1.26      inference('cnf', [status(esa)], [clause_1543])).
% 2.15/1.26  thf(zip_derived_cl136, plain, (![X0 : $i]:  (E @ 0 @ (f @ X0))),
% 2.15/1.26      inference('cnf', [status(esa)], [clause_1543])).
% 2.15/1.26  thf(zip_derived_cl136, plain, (![X0 : $i]:  (E @ 0 @ (f @ X0))),
% 2.15/1.26      inference('cnf', [status(esa)], [clause_1543])).
% 2.15/1.26  thf(zip_derived_cl136, plain, (![X0 : $i]:  (E @ 0 @ (f @ X0))),
% 2.15/1.26      inference('cnf', [status(esa)], [clause_1543])).
% 2.15/1.26  thf(zip_derived_cl136, plain, (![X0 : $i]:  (E @ 0 @ (f @ X0))),
% 2.15/1.26      inference('cnf', [status(esa)], [clause_1543])).
% 2.15/1.26  thf(zip_derived_cl136, plain, (![X0 : $i]:  (E @ 0 @ (f @ X0))),
% 2.15/1.26      inference('cnf', [status(esa)], [clause_1543])).
% 2.15/1.26  thf(zip_derived_cl136, plain, (![X0 : $i]:  (E @ 0 @ (f @ X0))),
% 2.15/1.26      inference('cnf', [status(esa)], [clause_1543])).
% 2.15/1.26  thf(zip_derived_cl136, plain, (![X0 : $i]:  (E @ 0 @ (f @ X0))),
% 2.15/1.26      inference('cnf', [status(esa)], [clause_1543])).
% 2.15/1.26  thf(zip_derived_cl136, plain, (![X0 : $i]:  (E @ 0 @ (f @ X0))),
% 2.15/1.26      inference('cnf', [status(esa)], [clause_1543])).
% 2.15/1.26  thf(zip_derived_cl136, plain, (![X0 : $i]:  (E @ 0 @ (f @ X0))),
% 2.15/1.26      inference('cnf', [status(esa)], [clause_1543])).
% 2.15/1.26  thf(zip_derived_cl625, plain,
% 2.15/1.26      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 2.15/1.26          (((((~) @ ($true))) | 
% 2.15/1.26            (((~) @ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0)))))) | 
% 2.15/1.26            (((~) @ ($true))) | (((~) @ (iLEQ @ (suc @ X1) @ (suc @ X0)))) | 
% 2.15/1.26            (((~) @ ($true))) | (((~) @ (iLEQ @ (suc @ X3) @ (suc @ X1)))) | 
% 2.15/1.26            (((~) @ ($true))) | (((~) @ ($true))) | (((~) @ ($true))) | 
% 2.15/1.26            (((~) @ ($true))) | (((~) @ ($true))) | 
% 2.15/1.26            (((~) @ (iLEQ @ (suc @ X2) @ (suc @ X4)))) | 
% 2.15/1.26            (((~) @ (E @ (f @ X2) @ (f @ (suc @ (suc @ X2)))))) | 
% 2.15/1.26            (((~) @ ($true))) | (((~) @ ($true))) | (((~) @ ($true))) | 
% 2.15/1.26            (((~) @ ($true))) | (((~) @ ($true))) | (((~) @ ($true))) | 
% 2.15/1.26            (((~) @ ($true))) | (((~) @ ($true))) | (((~) @ ($true))) | 
% 2.15/1.26            (((~) @ ($true))) | 
% 2.15/1.26            (((~) @ (E @ (f @ X4) @ (f @ (suc @ (suc @ X4)))))) | 
% 2.15/1.26            (((~) @ ($true))) | (((~) @ ($true))) | (((~) @ ($true))) | 
% 2.15/1.26            (((~) @ ($true))) | (((~) @ ($true))) | (((~) @ ($true))) | 
% 2.15/1.26            (((~) @ (iLEQ @ (suc @ X4) @ (suc @ X3)))) | 
% 2.15/1.26            (((~) @ (E @ (f @ X1) @ (f @ (suc @ (suc @ X1)))))) | 
% 2.15/1.26            (E @ (f @ X3) @ (f @ (suc @ (suc @ X3))))))),
% 2.15/1.26      inference('demod', [status(thm)],
% 2.15/1.26                [zip_derived_cl23, zip_derived_cl136, zip_derived_cl293, 
% 2.15/1.26                 zip_derived_cl136, zip_derived_cl136, zip_derived_cl136, 
% 2.15/1.26                 zip_derived_cl293, zip_derived_cl136, zip_derived_cl293, 
% 2.15/1.26                 zip_derived_cl136, zip_derived_cl136, zip_derived_cl136, 
% 2.15/1.26                 zip_derived_cl293, zip_derived_cl293, zip_derived_cl136, 
% 2.15/1.26                 zip_derived_cl136, zip_derived_cl136, zip_derived_cl136, 
% 2.15/1.26                 zip_derived_cl136, zip_derived_cl136, zip_derived_cl136, 
% 2.15/1.26                 zip_derived_cl136, zip_derived_cl136, zip_derived_cl136, 
% 2.15/1.26                 zip_derived_cl136])).
% 2.15/1.26  thf(zip_derived_cl626, plain,
% 2.15/1.26      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 2.15/1.26          (((((~) @ (iLEQ @ (suc @ X2) @ (suc @ X4)))) | 
% 2.15/1.26            (((~) @ (E @ (f @ X2) @ (f @ (suc @ (suc @ X2)))))) | 
% 2.15/1.26            (((~) @ (iLEQ @ (suc @ X4) @ (suc @ X3)))) | 
% 2.15/1.26            (((~) @ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0)))))) | 
% 2.15/1.26            (E @ (f @ X3) @ (f @ (suc @ (suc @ X3)))) | 
% 2.15/1.26            (((~) @ (iLEQ @ (suc @ X1) @ (suc @ X0)))) | 
% 2.15/1.26            (((~) @ (iLEQ @ (suc @ X3) @ (suc @ X1)))) | 
% 2.15/1.26            (((~) @ (E @ (f @ X4) @ (f @ (suc @ (suc @ X4)))))) | 
% 2.15/1.26            (((~) @ (E @ (f @ X1) @ (f @ (suc @ (suc @ X1))))))))),
% 2.15/1.26      inference('simplify boolean subterms', [status(thm)], [zip_derived_cl625])).
% 2.15/1.26  thf(zip_derived_cl627, plain,
% 2.15/1.26      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 2.15/1.26         (~ (iLEQ @ (suc @ X2) @ (suc @ X4))
% 2.15/1.26          | ~ (E @ (f @ X2) @ (f @ (suc @ (suc @ X2))))
% 2.15/1.26          | ~ (iLEQ @ (suc @ X4) @ (suc @ X3))
% 2.15/1.26          | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 2.15/1.26          |  (E @ (f @ X3) @ (f @ (suc @ (suc @ X3))))
% 2.15/1.26          | ~ (iLEQ @ (suc @ X1) @ (suc @ X0))
% 2.15/1.26          | ~ (iLEQ @ (suc @ X3) @ (suc @ X1))
% 2.15/1.26          | ~ (E @ (f @ X4) @ (f @ (suc @ (suc @ X4))))
% 2.15/1.26          | ~ (E @ (f @ X1) @ (f @ (suc @ (suc @ X1)))))),
% 2.15/1.26      inference('lazy_cnf_or', [status(thm)], [zip_derived_cl626])).
% 2.15/1.26  thf(zip_derived_cl630, plain,
% 2.15/1.26      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 2.15/1.26         (~ (E @ (f @ X1) @ (f @ (suc @ (suc @ X1))))
% 2.15/1.26          | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 2.15/1.26          | ~ (iLEQ @ (suc @ X2) @ (suc @ X1))
% 2.15/1.26          | ~ (iLEQ @ (suc @ X1) @ (suc @ X3))
% 2.15/1.26          |  (E @ (f @ X2) @ (f @ (suc @ (suc @ X2))))
% 2.15/1.26          | ~ (E @ (f @ X3) @ (f @ (suc @ (suc @ X3))))
% 2.15/1.26          | ~ (iLEQ @ (suc @ X0) @ (suc @ X2))
% 2.15/1.26          | ~ (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 2.15/1.26      inference('eq_fact', [status(thm)], [zip_derived_cl627])).
% 2.15/1.26  thf(zip_derived_cl258, plain,
% 2.15/1.26      (![X0 : $i]:  (iLEQ @ (suc @ X0) @ (suc @ X0))),
% 2.15/1.26      inference('clc', [status(thm)], [zip_derived_cl257, zip_derived_cl253])).
% 2.15/1.26  thf(zip_derived_cl632, plain,
% 2.15/1.26      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 2.15/1.26         (~ (E @ (f @ X1) @ (f @ (suc @ (suc @ X1))))
% 2.15/1.26          | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 2.15/1.26          | ~ (iLEQ @ (suc @ X2) @ (suc @ X1))
% 2.15/1.26          | ~ (iLEQ @ (suc @ X1) @ (suc @ X3))
% 2.15/1.26          |  (E @ (f @ X2) @ (f @ (suc @ (suc @ X2))))
% 2.15/1.26          | ~ (E @ (f @ X3) @ (f @ (suc @ (suc @ X3))))
% 2.15/1.26          | ~ (iLEQ @ (suc @ X0) @ (suc @ X2)))),
% 2.15/1.26      inference('demod', [status(thm)], [zip_derived_cl630, zip_derived_cl258])).
% 2.15/1.26  thf(zip_derived_cl635, plain,
% 2.15/1.26      (![X0 : $i, X1 : $i, X2 : $i]:
% 2.15/1.26         (~ (iLEQ @ (suc @ X2) @ (suc @ X1))
% 2.15/1.26          | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 2.15/1.26          |  (E @ (f @ X1) @ (f @ (suc @ (suc @ X1))))
% 2.15/1.26          | ~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 2.15/1.26          | ~ (iLEQ @ (suc @ X1) @ (suc @ X0))
% 2.15/1.26          | ~ (E @ (f @ X2) @ (f @ (suc @ (suc @ X2)))))),
% 2.15/1.26      inference('eq_fact', [status(thm)], [zip_derived_cl632])).
% 2.15/1.26  thf(zip_derived_cl258, plain,
% 2.15/1.26      (![X0 : $i]:  (iLEQ @ (suc @ X0) @ (suc @ X0))),
% 2.15/1.26      inference('clc', [status(thm)], [zip_derived_cl257, zip_derived_cl253])).
% 2.15/1.26  thf(zip_derived_cl636, plain,
% 2.15/1.26      (![X0 : $i, X1 : $i, X2 : $i]:
% 2.15/1.26         (~ (iLEQ @ (suc @ X2) @ (suc @ X1))
% 2.15/1.26          | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 2.15/1.26          |  (E @ (f @ X1) @ (f @ (suc @ (suc @ X1))))
% 2.15/1.26          | ~ (iLEQ @ (suc @ X1) @ (suc @ X0))
% 2.15/1.26          | ~ (E @ (f @ X2) @ (f @ (suc @ (suc @ X2)))))),
% 2.15/1.26      inference('demod', [status(thm)], [zip_derived_cl635, zip_derived_cl258])).
% 2.15/1.26  thf(zip_derived_cl655, plain,
% 2.15/1.26      (![X0 : $i, X1 : $i]:
% 2.15/1.26         (~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 2.15/1.26          | ~ (iLEQ @ (suc @ X1) @ (suc @ X0))
% 2.15/1.26          |  (E @ (f @ X1) @ (f @ (suc @ (suc @ X1))))
% 2.15/1.26          | ~ (iLEQ @ (suc @ X0) @ (suc @ X1)))),
% 2.15/1.26      inference('eq_fact', [status(thm)], [zip_derived_cl636])).
% 2.15/1.26  thf(zip_derived_cl660, plain,
% 2.15/1.26      (![X0 : $i, X1 : $i]:
% 2.15/1.26         (~ (iLEQ @ (suc @ X0) @ (suc @ X1))
% 2.15/1.26          | ~ (iLEQ @ (suc @ X1) @ (suc @ X0))
% 2.15/1.26          |  (E @ (f @ X0) @ (f @ (suc @ (suc @ X0)))))),
% 2.15/1.26      inference('clc', [status(thm)], [zip_derived_cl659, zip_derived_cl655])).
% 2.15/1.26  thf(zip_derived_cl661, plain,
% 2.15/1.26      (![X0 : $i]:  (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))),
% 2.15/1.26      inference('s_sup-', [status(thm)], [zip_derived_cl258, zip_derived_cl660])).
% 2.15/1.26  thf(zip_derived_cl293, plain,
% 2.15/1.26      (![X0 : $i]:  (E @ (f @ X0) @ (f @ (suc @ X0)))),
% 2.15/1.26      inference('simplify', [status(thm)], [zip_derived_cl292])).
% 2.15/1.26  thf(zip_derived_cl136, plain, (![X0 : $i]:  (E @ 0 @ (f @ X0))),
% 2.15/1.26      inference('cnf', [status(esa)], [clause_1543])).
% 2.15/1.26  thf(zip_derived_cl136, plain, (![X0 : $i]:  (E @ 0 @ (f @ X0))),
% 2.15/1.26      inference('cnf', [status(esa)], [clause_1543])).
% 2.15/1.26  thf(zip_derived_cl136, plain, (![X0 : $i]:  (E @ 0 @ (f @ X0))),
% 2.15/1.26      inference('cnf', [status(esa)], [clause_1543])).
% 2.15/1.26  thf(zip_derived_cl136, plain, (![X0 : $i]:  (E @ 0 @ (f @ X0))),
% 2.15/1.26      inference('cnf', [status(esa)], [clause_1543])).
% 2.15/1.26  thf(zip_derived_cl293, plain,
% 2.15/1.26      (![X0 : $i]:  (E @ (f @ X0) @ (f @ (suc @ X0)))),
% 2.15/1.26      inference('simplify', [status(thm)], [zip_derived_cl292])).
% 2.15/1.26  thf(zip_derived_cl136, plain, (![X0 : $i]:  (E @ 0 @ (f @ X0))),
% 2.15/1.26      inference('cnf', [status(esa)], [clause_1543])).
% 2.15/1.26  thf(zip_derived_cl293, plain,
% 2.15/1.26      (![X0 : $i]:  (E @ (f @ X0) @ (f @ (suc @ X0)))),
% 2.15/1.26      inference('simplify', [status(thm)], [zip_derived_cl292])).
% 2.15/1.26  thf(zip_derived_cl661, plain,
% 2.15/1.26      (![X0 : $i]:  (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))),
% 2.15/1.26      inference('s_sup-', [status(thm)], [zip_derived_cl258, zip_derived_cl660])).
% 2.15/1.26  thf(zip_derived_cl136, plain, (![X0 : $i]:  (E @ 0 @ (f @ X0))),
% 2.15/1.26      inference('cnf', [status(esa)], [clause_1543])).
% 2.15/1.26  thf(zip_derived_cl136, plain, (![X0 : $i]:  (E @ 0 @ (f @ X0))),
% 2.15/1.26      inference('cnf', [status(esa)], [clause_1543])).
% 2.15/1.26  thf(zip_derived_cl136, plain, (![X0 : $i]:  (E @ 0 @ (f @ X0))),
% 2.15/1.26      inference('cnf', [status(esa)], [clause_1543])).
% 2.15/1.26  thf(zip_derived_cl293, plain,
% 2.15/1.26      (![X0 : $i]:  (E @ (f @ X0) @ (f @ (suc @ X0)))),
% 2.15/1.26      inference('simplify', [status(thm)], [zip_derived_cl292])).
% 2.15/1.26  thf(zip_derived_cl293, plain,
% 2.15/1.26      (![X0 : $i]:  (E @ (f @ X0) @ (f @ (suc @ X0)))),
% 2.15/1.26      inference('simplify', [status(thm)], [zip_derived_cl292])).
% 2.15/1.26  thf(zip_derived_cl136, plain, (![X0 : $i]:  (E @ 0 @ (f @ X0))),
% 2.15/1.26      inference('cnf', [status(esa)], [clause_1543])).
% 2.15/1.26  thf(zip_derived_cl136, plain, (![X0 : $i]:  (E @ 0 @ (f @ X0))),
% 2.15/1.26      inference('cnf', [status(esa)], [clause_1543])).
% 2.15/1.26  thf(zip_derived_cl136, plain, (![X0 : $i]:  (E @ 0 @ (f @ X0))),
% 2.15/1.26      inference('cnf', [status(esa)], [clause_1543])).
% 2.15/1.26  thf(zip_derived_cl136, plain, (![X0 : $i]:  (E @ 0 @ (f @ X0))),
% 2.15/1.26      inference('cnf', [status(esa)], [clause_1543])).
% 2.15/1.26  thf(zip_derived_cl136, plain, (![X0 : $i]:  (E @ 0 @ (f @ X0))),
% 2.15/1.26      inference('cnf', [status(esa)], [clause_1543])).
% 2.15/1.26  thf(zip_derived_cl661, plain,
% 2.15/1.26      (![X0 : $i]:  (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))),
% 2.15/1.26      inference('s_sup-', [status(thm)], [zip_derived_cl258, zip_derived_cl660])).
% 2.15/1.26  thf(zip_derived_cl136, plain, (![X0 : $i]:  (E @ 0 @ (f @ X0))),
% 2.15/1.26      inference('cnf', [status(esa)], [clause_1543])).
% 2.15/1.26  thf(zip_derived_cl136, plain, (![X0 : $i]:  (E @ 0 @ (f @ X0))),
% 2.15/1.26      inference('cnf', [status(esa)], [clause_1543])).
% 2.15/1.26  thf(zip_derived_cl136, plain, (![X0 : $i]:  (E @ 0 @ (f @ X0))),
% 2.15/1.26      inference('cnf', [status(esa)], [clause_1543])).
% 2.15/1.26  thf(zip_derived_cl136, plain, (![X0 : $i]:  (E @ 0 @ (f @ X0))),
% 2.15/1.26      inference('cnf', [status(esa)], [clause_1543])).
% 2.15/1.26  thf(zip_derived_cl136, plain, (![X0 : $i]:  (E @ 0 @ (f @ X0))),
% 2.15/1.26      inference('cnf', [status(esa)], [clause_1543])).
% 2.15/1.26  thf(zip_derived_cl136, plain, (![X0 : $i]:  (E @ 0 @ (f @ X0))),
% 2.15/1.26      inference('cnf', [status(esa)], [clause_1543])).
% 2.15/1.26  thf(zip_derived_cl661, plain,
% 2.15/1.26      (![X0 : $i]:  (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))),
% 2.15/1.26      inference('s_sup-', [status(thm)], [zip_derived_cl258, zip_derived_cl660])).
% 2.15/1.26  thf(zip_derived_cl661, plain,
% 2.15/1.26      (![X0 : $i]:  (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))),
% 2.15/1.26      inference('s_sup-', [status(thm)], [zip_derived_cl258, zip_derived_cl660])).
% 2.15/1.26  thf(zip_derived_cl755, plain,
% 2.15/1.26      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 2.15/1.26          (((((~) @ ($true))) | (((~) @ ($true))) | (((~) @ ($true))) | 
% 2.15/1.26            (((~) @ (iLEQ @ (suc @ X1) @ (suc @ X0)))) | (((~) @ ($true))) | 
% 2.15/1.26            (((~) @ (iLEQ @ (suc @ X3) @ (suc @ X1)))) | (((~) @ ($true))) | 
% 2.15/1.26            (((~) @ ($true))) | (((~) @ ($true))) | (((~) @ ($true))) | 
% 2.15/1.26            (((~) @ ($true))) | (((~) @ ($true))) | 
% 2.15/1.26            (((~) @ (iLEQ @ (suc @ X2) @ (suc @ X4)))) | (((~) @ ($true))) | 
% 2.15/1.26            (((~) @ ($true))) | (((~) @ ($true))) | (((~) @ ($true))) | 
% 2.15/1.26            (((~) @ ($true))) | (((~) @ ($true))) | (((~) @ ($true))) | 
% 2.15/1.26            (((~) @ ($true))) | (((~) @ ($true))) | (((~) @ ($true))) | 
% 2.15/1.26            (((~) @ ($true))) | (((~) @ ($true))) | (((~) @ ($true))) | 
% 2.15/1.26            (((~) @ ($true))) | (((~) @ ($true))) | (((~) @ ($true))) | 
% 2.15/1.26            (((~) @ ($true))) | (((~) @ ($true))) | (((~) @ ($true))) | 
% 2.15/1.26            (((~) @ (iLEQ @ (suc @ X4) @ (suc @ X3)))) | (((~) @ ($true)))))),
% 2.15/1.26      inference('demod', [status(thm)],
% 2.15/1.26                [zip_derived_cl30, zip_derived_cl136, zip_derived_cl661, 
% 2.15/1.26                 zip_derived_cl293, zip_derived_cl136, zip_derived_cl136, 
% 2.15/1.26                 zip_derived_cl136, zip_derived_cl136, zip_derived_cl293, 
% 2.15/1.26                 zip_derived_cl136, zip_derived_cl293, zip_derived_cl661, 
% 2.15/1.26                 zip_derived_cl136, zip_derived_cl136, zip_derived_cl136, 
% 2.15/1.26                 zip_derived_cl293, zip_derived_cl293, zip_derived_cl136, 
% 2.15/1.26                 zip_derived_cl136, zip_derived_cl136, zip_derived_cl136, 
% 2.15/1.26                 zip_derived_cl136, zip_derived_cl661, zip_derived_cl136, 
% 2.15/1.26                 zip_derived_cl136, zip_derived_cl136, zip_derived_cl136, 
% 2.15/1.26                 zip_derived_cl136, zip_derived_cl136, zip_derived_cl661, 
% 2.15/1.26                 zip_derived_cl661])).
% 2.15/1.26  thf(zip_derived_cl756, plain,
% 2.15/1.26      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 2.15/1.26          (((((~) @ (iLEQ @ (suc @ X2) @ (suc @ X4)))) | 
% 2.15/1.26            (((~) @ (iLEQ @ (suc @ X4) @ (suc @ X3)))) | 
% 2.15/1.26            (((~) @ (iLEQ @ (suc @ X1) @ (suc @ X0)))) | 
% 2.15/1.26            (((~) @ (iLEQ @ (suc @ X3) @ (suc @ X1))))))),
% 2.15/1.26      inference('simplify boolean subterms', [status(thm)], [zip_derived_cl755])).
% 2.15/1.26  thf(zip_derived_cl757, plain,
% 2.15/1.26      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 2.15/1.26         (~ (iLEQ @ (suc @ X2) @ (suc @ X4))
% 2.15/1.26          | ~ (iLEQ @ (suc @ X4) @ (suc @ X3))
% 2.15/1.26          | ~ (iLEQ @ (suc @ X1) @ (suc @ X0))
% 2.15/1.26          | ~ (iLEQ @ (suc @ X3) @ (suc @ X1)))),
% 2.15/1.26      inference('lazy_cnf_or', [status(thm)], [zip_derived_cl756])).
% 2.15/1.26  thf(zip_derived_cl759, plain,
% 2.15/1.26      (![X0 : $i, X1 : $i, X2 : $i]:
% 2.15/1.26         (~ (iLEQ @ (suc @ X0) @ (suc @ X1))
% 2.15/1.26          | ~ (iLEQ @ (suc @ X1) @ (suc @ X2))
% 2.15/1.26          | ~ (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 2.15/1.26      inference('eq_fact', [status(thm)], [zip_derived_cl757])).
% 2.15/1.26  thf(zip_derived_cl258, plain,
% 2.15/1.26      (![X0 : $i]:  (iLEQ @ (suc @ X0) @ (suc @ X0))),
% 2.15/1.26      inference('clc', [status(thm)], [zip_derived_cl257, zip_derived_cl253])).
% 2.15/1.26  thf(zip_derived_cl762, plain,
% 2.15/1.26      (![X0 : $i, X1 : $i, X2 : $i]:
% 2.15/1.26         (~ (iLEQ @ (suc @ X0) @ (suc @ X1))
% 2.15/1.26          | ~ (iLEQ @ (suc @ X1) @ (suc @ X2)))),
% 2.15/1.26      inference('demod', [status(thm)], [zip_derived_cl759, zip_derived_cl258])).
% 2.15/1.26  thf(zip_derived_cl776, plain,
% 2.15/1.26      (![X0 : $i]: ~ (iLEQ @ (suc @ X0) @ (suc @ X0))),
% 2.15/1.26      inference('eq_fact', [status(thm)], [zip_derived_cl762])).
% 2.15/1.26  thf(zip_derived_cl258, plain,
% 2.15/1.26      (![X0 : $i]:  (iLEQ @ (suc @ X0) @ (suc @ X0))),
% 2.15/1.26      inference('clc', [status(thm)], [zip_derived_cl257, zip_derived_cl253])).
% 2.15/1.26  thf(zip_derived_cl777, plain, ($false),
% 2.15/1.26      inference('demod', [status(thm)], [zip_derived_cl776, zip_derived_cl258])).
% 2.15/1.26  
% 2.15/1.26  % SZS output end Refutation
% 2.15/1.26  
% 2.15/1.26  
% 2.15/1.26  % Terminating...
% 4.79/1.35  % Runner terminated.
% 4.79/1.36  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------