TSTP Solution File: SYO654-1 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYO654-1 : 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.PZACig766b true
% Computer : n008.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 05:52:26 EDT 2023
% Result : Unsatisfiable 61.16s 9.44s
% Output : Refutation 61.16s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SYO654-1 : TPTP v8.1.2. Released v7.3.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.PZACig766b true
% 0.14/0.36 % Computer : n008.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Sat Aug 26 07:14:33 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % Running portfolio for 300 s
% 0.14/0.36 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.36 % Number of cores: 8
% 0.21/0.36 % Python version: Python 3.6.8
% 0.21/0.37 % Running in FO mode
% 0.22/0.69 % Total configuration time : 435
% 0.22/0.69 % Estimated wc time : 1092
% 0.22/0.69 % Estimated cpu time (7 cpus) : 156.0
% 0.59/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.59/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.59/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.59/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.59/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.59/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.59/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.28/0.89 % /export/starexec/sandbox2/solver/bin/fo/fo1_lcnf.sh running for 50s
% 1.28/0.90 % /export/starexec/sandbox2/solver/bin/fo/fo17_bce.sh running for 50s
% 1.53/0.91 % /export/starexec/sandbox2/solver/bin/fo/fo8.sh running for 50s
% 61.16/9.44 % Solved by fo/fo1_av.sh.
% 61.16/9.44 % done 631 iterations in 8.652s
% 61.16/9.44 % SZS status Unsatisfiable for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 61.16/9.44 % SZS output start Refutation
% 61.16/9.44 thf(0_type, type, 0: $i).
% 61.16/9.44 thf(suc_type, type, suc: $i > $i).
% 61.16/9.44 thf(LE_type, type, LE: $i > $i > $o).
% 61.16/9.44 thf(f_type, type, f: $i > $i).
% 61.16/9.44 thf(s_type, type, s: $i > $i).
% 61.16/9.44 thf(iLEQ_type, type, iLEQ: $i > $i > $o).
% 61.16/9.44 thf(z_type, type, z: $i).
% 61.16/9.44 thf(E_type, type, E: $i > $i > $o).
% 61.16/9.44 thf(clause_20481, axiom, (~( LE @ ( f @ z ) @ 0 ))).
% 61.16/9.44 thf(zip_derived_cl10, plain, (~ (LE @ (f @ z) @ 0)),
% 61.16/9.44 inference('cnf', [status(esa)], [clause_20481])).
% 61.16/9.44 thf(clause_33306, axiom,
% 61.16/9.44 (( ~( LE @ ( f @ ( suc @ ( suc @ ( suc @ ( suc @ B_10 ) ) ) ) ) @ ( s @ 0 ) ) ) |
% 61.16/9.44 ( E @ 0 @ ( f @ ( suc @ ( suc @ ( suc @ ( suc @ B_10 ) ) ) ) ) ) |
% 61.16/9.44 ( LE @ ( f @ B_10 ) @ 0 ))).
% 61.16/9.44 thf(zip_derived_cl27, plain,
% 61.16/9.44 (![X0 : $i]:
% 61.16/9.44 (~ (LE @ (f @ (suc @ (suc @ (suc @ (suc @ X0))))) @ (s @ 0))
% 61.16/9.44 | (E @ 0 @ (f @ (suc @ (suc @ (suc @ (suc @ X0))))))
% 61.16/9.44 | (LE @ (f @ X0) @ 0))),
% 61.16/9.44 inference('cnf', [status(esa)], [clause_33306])).
% 61.16/9.45 thf(clause_39108, axiom, (LE @ ( f @ A ) @ ( s @ 0 ))).
% 61.16/9.45 thf(zip_derived_cl64, plain, (![X0 : $i]: (LE @ (f @ X0) @ (s @ 0))),
% 61.16/9.45 inference('cnf', [status(esa)], [clause_39108])).
% 61.16/9.45 thf(zip_derived_cl285, plain,
% 61.16/9.45 (![X0 : $i]:
% 61.16/9.45 ( (E @ 0 @ (f @ (suc @ (suc @ (suc @ (suc @ X0))))))
% 61.16/9.45 | (LE @ (f @ X0) @ 0))),
% 61.16/9.45 inference('demod', [status(thm)], [zip_derived_cl27, zip_derived_cl64])).
% 61.16/9.45 thf(clause_42473, axiom,
% 61.16/9.45 (( ~( E @ 0 @ ( f @ ( suc @ ( suc @ ( suc @ A_1 ) ) ) ) ) ) |
% 61.16/9.45 ( ~( E @ 0 @ ( f @ ( suc @ A_1 ) ) ) ) |
% 61.16/9.45 ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ A_1 ) ) ) ) ) |
% 61.16/9.45 ( ~( E @ 0 @ ( f @ A_1 ) ) ) |
% 61.16/9.45 ( ~( E @ ( f @ A_1 ) @ ( f @ ( suc @ ( suc @ A_1 ) ) ) ) ) |
% 61.16/9.45 ( ~( E @ ( f @ A_1 ) @ ( f @ ( suc @ A_1 ) ) ) ) |
% 61.16/9.45 ( E @ ( f @ A_1 ) @ ( f @ ( suc @ ( suc @ ( suc @ A_1 ) ) ) ) ) |
% 61.16/9.45 ( iLEQ @ ( suc @ A_1 ) @ ( suc @ A_1 ) ))).
% 61.16/9.45 thf(zip_derived_cl234, plain,
% 61.16/9.45 (![X0 : $i]:
% 61.16/9.45 (~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0)))))
% 61.16/9.45 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 61.16/9.45 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 61.16/9.45 | ~ (E @ 0 @ (f @ X0))
% 61.16/9.45 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 61.16/9.45 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 61.16/9.45 | (E @ (f @ X0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 61.16/9.45 | (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 61.16/9.45 inference('cnf', [status(esa)], [clause_42473])).
% 61.16/9.45 thf(clause_33398, axiom,
% 61.16/9.45 (( ~( E @ 0 @ ( f @ ( suc @ ( suc @ A_1 ) ) ) ) ) |
% 61.16/9.45 ( ~( E @ 0 @ ( f @ ( suc @ A_1 ) ) ) ) |
% 61.16/9.45 ( ~( E @ ( f @ A_1 ) @ ( f @ ( suc @ A_1 ) ) ) ) |
% 61.16/9.45 ( ~( E @ 0 @ ( f @ A_1 ) ) ) |
% 61.16/9.45 ( E @ ( f @ A_1 ) @ ( f @ ( suc @ ( suc @ A_1 ) ) ) ) |
% 61.16/9.45 ( iLEQ @ ( suc @ A_1 ) @ ( suc @ A_1 ) ))).
% 61.16/9.45 thf(zip_derived_cl195, plain,
% 61.16/9.45 (![X0 : $i]:
% 61.16/9.45 (~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 61.16/9.45 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 61.16/9.45 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 61.16/9.45 | ~ (E @ 0 @ (f @ X0))
% 61.16/9.45 | (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 61.16/9.45 | (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 61.16/9.45 inference('cnf', [status(esa)], [clause_33398])).
% 61.16/9.45 thf(clause_6843, axiom,
% 61.16/9.45 (( ~( E @ 0 @ ( f @ A_1 ) ) ) | ( ~( E @ 0 @ ( f @ ( suc @ A_1 ) ) ) ) |
% 61.16/9.45 ( E @ ( f @ A_1 ) @ ( f @ ( suc @ A_1 ) ) ) |
% 61.16/9.45 ( iLEQ @ ( suc @ A_1 ) @ ( suc @ A_1 ) ))).
% 61.16/9.45 thf(zip_derived_cl71, plain,
% 61.16/9.45 (![X0 : $i]:
% 61.16/9.45 (~ (E @ 0 @ (f @ X0))
% 61.16/9.45 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 61.16/9.45 | (E @ (f @ X0) @ (f @ (suc @ X0)))
% 61.16/9.45 | (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 61.16/9.45 inference('cnf', [status(esa)], [clause_6843])).
% 61.16/9.45 thf(zip_derived_cl286, plain,
% 61.16/9.45 (![X0 : $i]:
% 61.16/9.45 ( (iLEQ @ (suc @ X0) @ (suc @ X0))
% 61.16/9.45 | (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 61.16/9.45 | ~ (E @ 0 @ (f @ X0))
% 61.16/9.45 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 61.16/9.45 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0)))))),
% 61.16/9.45 inference('clc', [status(thm)], [zip_derived_cl195, zip_derived_cl71])).
% 61.16/9.45 thf(zip_derived_cl287, plain,
% 61.16/9.45 (![X0 : $i]:
% 61.16/9.45 ( (iLEQ @ (suc @ X0) @ (suc @ X0))
% 61.16/9.45 | (E @ (f @ X0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 61.16/9.45 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 61.16/9.45 | ~ (E @ 0 @ (f @ X0))
% 61.16/9.45 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 61.16/9.45 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 61.16/9.45 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0))))))),
% 61.16/9.45 inference('clc', [status(thm)], [zip_derived_cl234, zip_derived_cl286])).
% 61.16/9.45 thf(zip_derived_cl71, plain,
% 61.16/9.45 (![X0 : $i]:
% 61.16/9.45 (~ (E @ 0 @ (f @ X0))
% 61.16/9.45 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 61.16/9.45 | (E @ (f @ X0) @ (f @ (suc @ X0)))
% 61.16/9.45 | (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 61.16/9.45 inference('cnf', [status(esa)], [clause_6843])).
% 61.16/9.45 thf(zip_derived_cl288, plain,
% 61.16/9.45 (![X0 : $i]:
% 61.16/9.45 (~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0)))))
% 61.16/9.45 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 61.16/9.45 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 61.16/9.45 | ~ (E @ 0 @ (f @ X0))
% 61.16/9.45 | (E @ (f @ X0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 61.16/9.45 | (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 61.16/9.45 inference('clc', [status(thm)], [zip_derived_cl287, zip_derived_cl71])).
% 61.16/9.45 thf(clause_19660, axiom,
% 61.16/9.45 (( ~( E @ 0 @ ( f @ ( suc @ ( suc @ ( suc @ A_1 ) ) ) ) ) ) |
% 61.16/9.45 ( ~( E @ 0 @ ( f @ ( suc @ A_1 ) ) ) ) |
% 61.16/9.45 ( ~( E @ ( f @ A_1 ) @ ( f @ ( suc @ ( suc @ ( suc @ A_1 ) ) ) ) ) ) |
% 61.16/9.45 ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ A_1 ) ) ) ) ) |
% 61.16/9.45 ( ~( E @ 0 @ ( f @ A_1 ) ) ) |
% 61.16/9.45 ( ~( E @ ( f @ A_1 ) @ ( f @ ( suc @ ( suc @ A_1 ) ) ) ) ) |
% 61.16/9.45 ( ~( E @ ( f @ A_1 ) @ ( f @ ( suc @ A_1 ) ) ) ) |
% 61.16/9.45 ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ ( suc @ ( suc @ A_1 ) ) ) ) ) ) ) |
% 61.16/9.45 ( iLEQ @ ( suc @ A_1 ) @ ( suc @ A_1 ) ))).
% 61.16/9.45 thf(zip_derived_cl258, plain,
% 61.16/9.45 (![X0 : $i]:
% 61.16/9.45 (~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0)))))
% 61.16/9.45 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 61.16/9.45 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 61.16/9.45 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 61.16/9.45 | ~ (E @ 0 @ (f @ X0))
% 61.16/9.45 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 61.16/9.45 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 61.16/9.45 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ (suc @ X0))))))
% 61.16/9.45 | (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 61.16/9.45 inference('cnf', [status(esa)], [clause_19660])).
% 61.16/9.45 thf(zip_derived_cl303, plain,
% 61.16/9.45 (![X0 : $i]:
% 61.16/9.45 ( (iLEQ @ (suc @ X0) @ (suc @ X0))
% 61.16/9.45 | ~ (E @ 0 @ (f @ X0))
% 61.16/9.45 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 61.16/9.45 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 61.16/9.45 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0)))))
% 61.16/9.45 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0)))))
% 61.16/9.45 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 61.16/9.45 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 61.16/9.45 | ~ (E @ 0 @ (f @ X0))
% 61.16/9.45 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 61.16/9.45 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 61.16/9.45 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ (suc @ X0))))))
% 61.16/9.45 | (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 61.16/9.45 inference('s_sup-', [status(thm)], [zip_derived_cl288, zip_derived_cl258])).
% 61.16/9.45 thf(zip_derived_cl304, plain,
% 61.16/9.45 (![X0 : $i]:
% 61.16/9.45 (~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ (suc @ X0))))))
% 61.16/9.45 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 61.16/9.45 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 61.16/9.45 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0)))))
% 61.16/9.45 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 61.16/9.45 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 61.16/9.45 | ~ (E @ 0 @ (f @ X0))
% 61.16/9.45 | (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 61.16/9.45 inference('simplify', [status(thm)], [zip_derived_cl303])).
% 61.16/9.45 thf(zip_derived_cl71, plain,
% 61.16/9.45 (![X0 : $i]:
% 61.16/9.45 (~ (E @ 0 @ (f @ X0))
% 61.16/9.45 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 61.16/9.45 | (E @ (f @ X0) @ (f @ (suc @ X0)))
% 61.16/9.45 | (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 61.16/9.45 inference('cnf', [status(esa)], [clause_6843])).
% 61.16/9.45 thf(zip_derived_cl305, plain,
% 61.16/9.45 (![X0 : $i]:
% 61.16/9.45 ( (iLEQ @ (suc @ X0) @ (suc @ X0))
% 61.16/9.45 | ~ (E @ 0 @ (f @ X0))
% 61.16/9.45 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 61.16/9.45 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 61.16/9.45 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0)))))
% 61.16/9.45 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 61.16/9.45 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ (suc @ X0)))))))),
% 61.16/9.45 inference('clc', [status(thm)], [zip_derived_cl304, zip_derived_cl71])).
% 61.16/9.45 thf(zip_derived_cl286, plain,
% 61.16/9.45 (![X0 : $i]:
% 61.16/9.45 ( (iLEQ @ (suc @ X0) @ (suc @ X0))
% 61.16/9.45 | (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 61.16/9.45 | ~ (E @ 0 @ (f @ X0))
% 61.16/9.45 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 61.16/9.45 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0)))))),
% 61.16/9.45 inference('clc', [status(thm)], [zip_derived_cl195, zip_derived_cl71])).
% 61.16/9.45 thf(zip_derived_cl306, plain,
% 61.16/9.45 (![X0 : $i]:
% 61.16/9.45 (~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ (suc @ X0))))))
% 61.16/9.45 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0)))))
% 61.16/9.45 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 61.16/9.45 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 61.16/9.45 | ~ (E @ 0 @ (f @ X0))
% 61.16/9.45 | (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 61.16/9.45 inference('clc', [status(thm)], [zip_derived_cl305, zip_derived_cl286])).
% 61.16/9.45 thf(zip_derived_cl307, plain,
% 61.16/9.45 (![X0 : $i]:
% 61.16/9.45 ( (LE @ (f @ X0) @ 0)
% 61.16/9.45 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0)))))
% 61.16/9.45 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 61.16/9.45 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 61.16/9.45 | ~ (E @ 0 @ (f @ X0))
% 61.16/9.45 | (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 61.16/9.45 inference('s_sup-', [status(thm)], [zip_derived_cl285, zip_derived_cl306])).
% 61.16/9.45 thf(clause_29553, axiom,
% 61.16/9.45 (( ~( LE @ ( f @ ( suc @ ( suc @ ( suc @ B_10 ) ) ) ) @ ( s @ 0 ) ) ) |
% 61.16/9.45 ( E @ 0 @ ( f @ ( suc @ ( suc @ ( suc @ B_10 ) ) ) ) ) |
% 61.16/9.45 ( LE @ ( f @ B_10 ) @ 0 ))).
% 61.16/9.45 thf(zip_derived_cl183, plain,
% 61.16/9.45 (![X0 : $i]:
% 61.16/9.45 (~ (LE @ (f @ (suc @ (suc @ (suc @ X0)))) @ (s @ 0))
% 61.16/9.45 | (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0)))))
% 61.16/9.45 | (LE @ (f @ X0) @ 0))),
% 61.16/9.45 inference('cnf', [status(esa)], [clause_29553])).
% 61.16/9.45 thf(zip_derived_cl64, plain, (![X0 : $i]: (LE @ (f @ X0) @ (s @ 0))),
% 61.16/9.45 inference('cnf', [status(esa)], [clause_39108])).
% 61.16/9.45 thf(zip_derived_cl283, plain,
% 61.16/9.45 (![X0 : $i]:
% 61.16/9.45 ( (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0))))) | (LE @ (f @ X0) @ 0))),
% 61.16/9.45 inference('demod', [status(thm)], [zip_derived_cl183, zip_derived_cl64])).
% 61.16/9.45 thf(zip_derived_cl308, plain,
% 61.16/9.45 (![X0 : $i]:
% 61.16/9.45 ( (iLEQ @ (suc @ X0) @ (suc @ X0))
% 61.16/9.45 | ~ (E @ 0 @ (f @ X0))
% 61.16/9.45 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 61.16/9.45 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 61.16/9.45 | (LE @ (f @ X0) @ 0))),
% 61.16/9.45 inference('clc', [status(thm)], [zip_derived_cl307, zip_derived_cl283])).
% 61.16/9.45 thf(clause_2640, axiom,
% 61.16/9.45 (( ~( LE @ ( f @ B_10 ) @ ( s @ 0 ) ) ) | ( E @ 0 @ ( f @ B_10 ) ) |
% 61.16/9.45 ( LE @ ( f @ B_10 ) @ 0 ))).
% 61.16/9.45 thf(zip_derived_cl87, plain,
% 61.16/9.45 (![X0 : $i]:
% 61.16/9.45 (~ (LE @ (f @ X0) @ (s @ 0))
% 61.16/9.45 | (E @ 0 @ (f @ X0))
% 61.16/9.45 | (LE @ (f @ X0) @ 0))),
% 61.16/9.45 inference('cnf', [status(esa)], [clause_2640])).
% 61.16/9.45 thf(zip_derived_cl64, plain, (![X0 : $i]: (LE @ (f @ X0) @ (s @ 0))),
% 61.16/9.45 inference('cnf', [status(esa)], [clause_39108])).
% 61.16/9.45 thf(zip_derived_cl267, plain,
% 61.16/9.45 (![X0 : $i]: ( (E @ 0 @ (f @ X0)) | (LE @ (f @ X0) @ 0))),
% 61.16/9.45 inference('demod', [status(thm)], [zip_derived_cl87, zip_derived_cl64])).
% 61.16/9.45 thf(zip_derived_cl309, plain,
% 61.16/9.45 (![X0 : $i]:
% 61.16/9.45 ( (LE @ (f @ X0) @ 0)
% 61.16/9.45 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 61.16/9.45 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 61.16/9.45 | (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 61.16/9.45 inference('clc', [status(thm)], [zip_derived_cl308, zip_derived_cl267])).
% 61.16/9.45 thf(clause_37984, axiom,
% 61.16/9.45 (( ~( LE @ ( f @ ( suc @ B_10 ) ) @ ( s @ 0 ) ) ) |
% 61.16/9.45 ( E @ 0 @ ( f @ ( suc @ B_10 ) ) ) | ( LE @ ( f @ B_10 ) @ 0 ))).
% 61.16/9.45 thf(zip_derived_cl230, plain,
% 61.16/9.45 (![X0 : $i]:
% 61.16/9.45 (~ (LE @ (f @ (suc @ X0)) @ (s @ 0))
% 61.16/9.45 | (E @ 0 @ (f @ (suc @ X0)))
% 61.16/9.45 | (LE @ (f @ X0) @ 0))),
% 61.16/9.45 inference('cnf', [status(esa)], [clause_37984])).
% 61.16/9.45 thf(zip_derived_cl64, plain, (![X0 : $i]: (LE @ (f @ X0) @ (s @ 0))),
% 61.16/9.45 inference('cnf', [status(esa)], [clause_39108])).
% 61.16/9.45 thf(zip_derived_cl269, plain,
% 61.16/9.45 (![X0 : $i]: ( (E @ 0 @ (f @ (suc @ X0))) | (LE @ (f @ X0) @ 0))),
% 61.16/9.45 inference('demod', [status(thm)], [zip_derived_cl230, zip_derived_cl64])).
% 61.16/9.45 thf(zip_derived_cl310, plain,
% 61.16/9.45 (![X0 : $i]:
% 61.16/9.45 ( (iLEQ @ (suc @ X0) @ (suc @ X0))
% 61.16/9.45 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 61.16/9.45 | (LE @ (f @ X0) @ 0))),
% 61.16/9.45 inference('clc', [status(thm)], [zip_derived_cl309, zip_derived_cl269])).
% 61.16/9.45 thf(clause_828, axiom,
% 61.16/9.45 (( ~( LE @ ( f @ ( suc @ ( suc @ B_10 ) ) ) @ ( s @ 0 ) ) ) |
% 61.16/9.45 ( E @ 0 @ ( f @ ( suc @ ( suc @ B_10 ) ) ) ) | ( LE @ ( f @ B_10 ) @ 0 ))).
% 61.16/9.45 thf(zip_derived_cl242, plain,
% 61.16/9.45 (![X0 : $i]:
% 61.16/9.45 (~ (LE @ (f @ (suc @ (suc @ X0))) @ (s @ 0))
% 61.16/9.45 | (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 61.16/9.45 | (LE @ (f @ X0) @ 0))),
% 61.16/9.45 inference('cnf', [status(esa)], [clause_828])).
% 61.16/9.45 thf(zip_derived_cl64, plain, (![X0 : $i]: (LE @ (f @ X0) @ (s @ 0))),
% 61.16/9.45 inference('cnf', [status(esa)], [clause_39108])).
% 61.16/9.45 thf(zip_derived_cl281, plain,
% 61.16/9.45 (![X0 : $i]: ( (E @ 0 @ (f @ (suc @ (suc @ X0)))) | (LE @ (f @ X0) @ 0))),
% 61.16/9.45 inference('demod', [status(thm)], [zip_derived_cl242, zip_derived_cl64])).
% 61.16/9.45 thf(zip_derived_cl311, plain,
% 61.16/9.45 (![X0 : $i]: ( (LE @ (f @ X0) @ 0) | (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 61.16/9.45 inference('clc', [status(thm)], [zip_derived_cl310, zip_derived_cl281])).
% 61.16/9.45 thf(zip_derived_cl10, plain, (~ (LE @ (f @ z) @ 0)),
% 61.16/9.45 inference('cnf', [status(esa)], [clause_20481])).
% 61.16/9.45 thf(zip_derived_cl312, plain, ( (iLEQ @ (suc @ z) @ (suc @ z))),
% 61.16/9.45 inference('s_sup-', [status(thm)], [zip_derived_cl311, zip_derived_cl10])).
% 61.16/9.45 thf(clause_4416, axiom,
% 61.16/9.45 (( ~( E @ 0 @ ( f @ ( suc @ ( suc @ ( suc @ A_1 ) ) ) ) ) ) |
% 61.16/9.45 ( ~( E @ 0 @ ( f @ ( suc @ B_11 ) ) ) ) |
% 61.16/9.45 ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ ( suc @ B_11 ) ) ) ) ) ) |
% 61.16/9.45 ( ~( iLEQ @ ( suc @ B_12 ) @ ( suc @ B_13 ) ) ) |
% 61.16/9.45 ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ B_11 ) ) ) ) ) |
% 61.16/9.45 ( ~( E @ 0 @ ( f @ ( suc @ A_1 ) ) ) ) |
% 61.16/9.45 ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ A_1 ) ) ) ) ) |
% 61.16/9.45 ( ~( E @ 0 @ ( f @ B_11 ) ) ) | ( ~( E @ 0 @ ( f @ A_1 ) ) ) |
% 61.16/9.45 ( ~( E @ 0 @ ( f @ B_13 ) ) ) |
% 61.16/9.45 ( ~( E @ ( f @ B_11 ) @ ( f @ ( suc @ ( suc @ B_11 ) ) ) ) ) |
% 61.16/9.45 ( ~( E @ 0 @ ( f @ ( suc @ B_12 ) ) ) ) |
% 61.16/9.45 ( ~( E @ ( f @ B_13 ) @ ( f @ ( suc @ ( suc @ B_13 ) ) ) ) ) |
% 61.16/9.45 ( ~( E @ ( f @ B_12 ) @ ( f @ ( suc @ ( suc @ B_12 ) ) ) ) ) |
% 61.16/9.45 ( ~( E @ ( f @ A_1 ) @ ( f @ ( suc @ ( suc @ A_1 ) ) ) ) ) |
% 61.16/9.45 ( ~( E @ ( f @ B_12 ) @ ( f @ ( suc @ B_12 ) ) ) ) |
% 61.16/9.45 ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ B_12 ) ) ) ) ) |
% 61.16/9.45 ( ~( E @ ( f @ A_1 ) @ ( f @ ( suc @ A_1 ) ) ) ) |
% 61.16/9.45 ( ~( E @ ( f @ B_11 ) @ ( f @ ( suc @ B_11 ) ) ) ) |
% 61.16/9.45 ( ~( iLEQ @ ( suc @ A_1 ) @ ( suc @ B_11 ) ) ) |
% 61.16/9.45 ( ~( E @ 0 @ ( f @ ( suc @ B_13 ) ) ) ) | ( ~( E @ 0 @ ( f @ B_12 ) ) ) |
% 61.16/9.45 ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ ( suc @ B_13 ) ) ) ) ) ) |
% 61.16/9.45 ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ B_13 ) ) ) ) ) |
% 61.16/9.45 ( ~( E @ ( f @ B_13 ) @ ( f @ ( suc @ B_13 ) ) ) ) |
% 61.16/9.45 ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ ( suc @ B_12 ) ) ) ) ) ) |
% 61.16/9.45 ( ~( iLEQ @ ( suc @ B_11 ) @ ( suc @ B_12 ) ) ) |
% 61.16/9.45 ( E @ ( f @ A_1 ) @ ( f @ ( suc @ ( suc @ ( suc @ A_1 ) ) ) ) ) |
% 61.16/9.45 ( E @ ( f @ B_11 ) @ ( f @ ( suc @ ( suc @ ( suc @ B_11 ) ) ) ) ) |
% 61.16/9.45 ( E @ ( f @ B_12 ) @ ( f @ ( suc @ ( suc @ ( suc @ B_12 ) ) ) ) ) |
% 61.16/9.45 ( E @ ( f @ B_13 ) @ ( f @ ( suc @ ( suc @ ( suc @ B_13 ) ) ) ) ))).
% 61.16/9.45 thf(zip_derived_cl259, plain,
% 61.16/9.45 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 61.16/9.45 (~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0)))))
% 61.16/9.45 | ~ (E @ 0 @ (f @ (suc @ X1)))
% 61.16/9.45 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X1)))))
% 61.16/9.45 | ~ (iLEQ @ (suc @ X2) @ (suc @ X3))
% 61.16/9.45 | ~ (E @ 0 @ (f @ (suc @ (suc @ X1))))
% 61.16/9.45 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 61.16/9.45 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 61.16/9.45 | ~ (E @ 0 @ (f @ X1))
% 61.16/9.45 | ~ (E @ 0 @ (f @ X0))
% 61.16/9.45 | ~ (E @ 0 @ (f @ X3))
% 61.16/9.45 | ~ (E @ (f @ X1) @ (f @ (suc @ (suc @ X1))))
% 61.16/9.45 | ~ (E @ 0 @ (f @ (suc @ X2)))
% 61.16/9.45 | ~ (E @ (f @ X3) @ (f @ (suc @ (suc @ X3))))
% 61.16/9.45 | ~ (E @ (f @ X2) @ (f @ (suc @ (suc @ X2))))
% 61.16/9.45 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 61.16/9.45 | ~ (E @ (f @ X2) @ (f @ (suc @ X2)))
% 61.16/9.45 | ~ (E @ 0 @ (f @ (suc @ (suc @ X2))))
% 61.16/9.45 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 61.16/9.45 | ~ (E @ (f @ X1) @ (f @ (suc @ X1)))
% 61.16/9.45 | ~ (iLEQ @ (suc @ X0) @ (suc @ X1))
% 61.16/9.45 | ~ (E @ 0 @ (f @ (suc @ X3)))
% 61.16/9.45 | ~ (E @ 0 @ (f @ X2))
% 61.16/9.45 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X3)))))
% 61.16/9.45 | ~ (E @ 0 @ (f @ (suc @ (suc @ X3))))
% 61.16/9.45 | ~ (E @ (f @ X3) @ (f @ (suc @ X3)))
% 61.16/9.45 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X2)))))
% 61.16/9.45 | ~ (iLEQ @ (suc @ X1) @ (suc @ X2))
% 61.16/9.45 | (E @ (f @ X0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 61.16/9.45 | (E @ (f @ X1) @ (f @ (suc @ (suc @ (suc @ X1)))))
% 61.16/9.45 | (E @ (f @ X2) @ (f @ (suc @ (suc @ (suc @ X2)))))
% 61.16/9.45 | (E @ (f @ X3) @ (f @ (suc @ (suc @ (suc @ X3))))))),
% 61.16/9.45 inference('cnf', [status(esa)], [clause_4416])).
% 61.16/9.45 thf(zip_derived_cl1930, plain,
% 61.16/9.45 (![X0 : $i, X1 : $i]:
% 61.16/9.45 ( (E @ (f @ X0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 61.16/9.45 | (E @ (f @ X1) @ (f @ (suc @ (suc @ (suc @ X1)))))
% 61.16/9.45 | (E @ (f @ X0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 61.16/9.45 | (E @ (f @ X1) @ (f @ (suc @ (suc @ (suc @ X1)))))
% 61.16/9.45 | ~ (iLEQ @ (suc @ X0) @ (suc @ X1))
% 61.16/9.45 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X1)))))
% 61.16/9.45 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 61.16/9.45 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 61.16/9.45 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0)))))
% 61.16/9.45 | ~ (E @ 0 @ (f @ X1))
% 61.16/9.45 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 61.16/9.45 | ~ (iLEQ @ (suc @ X1) @ (suc @ X0))
% 61.16/9.45 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 61.16/9.45 | ~ (E @ (f @ X1) @ (f @ (suc @ X1)))
% 61.16/9.45 | ~ (E @ 0 @ (f @ (suc @ (suc @ X1))))
% 61.16/9.45 | ~ (E @ (f @ X1) @ (f @ (suc @ X1)))
% 61.16/9.45 | ~ (E @ (f @ X1) @ (f @ (suc @ (suc @ X1))))
% 61.16/9.45 | ~ (E @ (f @ X1) @ (f @ (suc @ (suc @ X1))))
% 61.16/9.45 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 61.16/9.45 | ~ (E @ 0 @ (f @ (suc @ X1)))
% 61.16/9.45 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 61.16/9.45 | ~ (E @ 0 @ (f @ X0))
% 61.16/9.45 | ~ (E @ 0 @ (f @ X1))
% 61.16/9.45 | ~ (E @ 0 @ (f @ X0))
% 61.16/9.45 | ~ (E @ 0 @ (f @ (suc @ (suc @ X1))))
% 61.16/9.45 | ~ (E @ 0 @ (f @ (suc @ X1)))
% 61.16/9.45 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 61.16/9.45 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0)))))
% 61.16/9.45 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 61.16/9.45 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X1))))))),
% 61.16/9.45 inference('eq_fact', [status(thm)], [zip_derived_cl259])).
% 61.16/9.45 thf(zip_derived_cl1931, plain,
% 61.16/9.45 (![X0 : $i, X1 : $i]:
% 61.16/9.45 (~ (E @ 0 @ (f @ X0))
% 61.16/9.45 | ~ (E @ 0 @ (f @ (suc @ X1)))
% 61.16/9.45 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 61.16/9.45 | ~ (E @ (f @ X1) @ (f @ (suc @ (suc @ X1))))
% 61.16/9.45 | ~ (E @ 0 @ (f @ (suc @ (suc @ X1))))
% 61.16/9.45 | ~ (E @ (f @ X1) @ (f @ (suc @ X1)))
% 61.16/9.45 | ~ (iLEQ @ (suc @ X1) @ (suc @ X0))
% 61.16/9.45 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 61.16/9.45 | ~ (E @ 0 @ (f @ X1))
% 61.16/9.45 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0)))))
% 61.16/9.45 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 61.16/9.45 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 61.16/9.45 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X1)))))
% 61.16/9.45 | ~ (iLEQ @ (suc @ X0) @ (suc @ X1))
% 61.16/9.45 | (E @ (f @ X1) @ (f @ (suc @ (suc @ (suc @ X1)))))
% 61.16/9.45 | (E @ (f @ X0) @ (f @ (suc @ (suc @ (suc @ X0))))))),
% 61.16/9.45 inference('simplify', [status(thm)], [zip_derived_cl1930])).
% 61.16/9.45 thf(zip_derived_cl1936, plain,
% 61.16/9.45 ((~ (E @ 0 @ (f @ z))
% 61.16/9.45 | ~ (E @ 0 @ (f @ (suc @ z)))
% 61.16/9.45 | ~ (E @ (f @ z) @ (f @ (suc @ (suc @ z))))
% 61.16/9.45 | ~ (E @ (f @ z) @ (f @ (suc @ (suc @ z))))
% 61.16/9.45 | ~ (E @ 0 @ (f @ (suc @ (suc @ z))))
% 61.16/9.45 | ~ (E @ (f @ z) @ (f @ (suc @ z)))
% 61.16/9.45 | ~ (E @ 0 @ (f @ (suc @ z)))
% 61.16/9.45 | ~ (E @ 0 @ (f @ z))
% 61.16/9.45 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ z)))))
% 61.16/9.45 | ~ (E @ 0 @ (f @ (suc @ (suc @ z))))
% 61.16/9.45 | ~ (E @ (f @ z) @ (f @ (suc @ z)))
% 61.16/9.45 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ z)))))
% 61.16/9.45 | (E @ (f @ z) @ (f @ (suc @ (suc @ (suc @ z)))))
% 61.16/9.45 | (E @ (f @ z) @ (f @ (suc @ (suc @ (suc @ z))))))),
% 61.16/9.45 inference('s_sup-', [status(thm)],
% 61.16/9.45 [zip_derived_cl312, zip_derived_cl1931])).
% 61.16/9.45 thf(zip_derived_cl267, plain,
% 61.16/9.45 (![X0 : $i]: ( (E @ 0 @ (f @ X0)) | (LE @ (f @ X0) @ 0))),
% 61.16/9.45 inference('demod', [status(thm)], [zip_derived_cl87, zip_derived_cl64])).
% 61.16/9.45 thf(zip_derived_cl10, plain, (~ (LE @ (f @ z) @ 0)),
% 61.16/9.45 inference('cnf', [status(esa)], [clause_20481])).
% 61.16/9.45 thf(zip_derived_cl268, plain, ( (E @ 0 @ (f @ z))),
% 61.16/9.45 inference('s_sup-', [status(thm)], [zip_derived_cl267, zip_derived_cl10])).
% 61.16/9.45 thf(zip_derived_cl269, plain,
% 61.16/9.45 (![X0 : $i]: ( (E @ 0 @ (f @ (suc @ X0))) | (LE @ (f @ X0) @ 0))),
% 61.16/9.45 inference('demod', [status(thm)], [zip_derived_cl230, zip_derived_cl64])).
% 61.16/9.45 thf(zip_derived_cl10, plain, (~ (LE @ (f @ z) @ 0)),
% 61.16/9.45 inference('cnf', [status(esa)], [clause_20481])).
% 61.16/9.45 thf(zip_derived_cl270, plain, ( (E @ 0 @ (f @ (suc @ z)))),
% 61.16/9.45 inference('s_sup-', [status(thm)], [zip_derived_cl269, zip_derived_cl10])).
% 61.16/9.45 thf(zip_derived_cl312, plain, ( (iLEQ @ (suc @ z) @ (suc @ z))),
% 61.16/9.45 inference('s_sup-', [status(thm)], [zip_derived_cl311, zip_derived_cl10])).
% 61.16/9.45 thf(clause_27210, axiom,
% 61.16/9.45 (( ~( E @ 0 @ ( f @ ( suc @ B_11 ) ) ) ) |
% 61.16/9.45 ( ~( iLEQ @ ( suc @ B_12 ) @ ( suc @ B_13 ) ) ) |
% 61.16/9.45 ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ B_11 ) ) ) ) ) |
% 61.16/9.45 ( ~( E @ 0 @ ( f @ ( suc @ A_1 ) ) ) ) |
% 61.16/9.45 ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ A_1 ) ) ) ) ) |
% 61.16/9.45 ( ~( E @ 0 @ ( f @ B_11 ) ) ) | ( ~( E @ 0 @ ( f @ A_1 ) ) ) |
% 61.16/9.45 ( ~( E @ 0 @ ( f @ B_13 ) ) ) | ( ~( E @ 0 @ ( f @ ( suc @ B_12 ) ) ) ) |
% 61.16/9.45 ( ~( E @ ( f @ B_12 ) @ ( f @ ( suc @ B_12 ) ) ) ) |
% 61.16/9.45 ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ B_12 ) ) ) ) ) |
% 61.16/9.45 ( ~( E @ ( f @ A_1 ) @ ( f @ ( suc @ A_1 ) ) ) ) |
% 61.16/9.45 ( ~( E @ ( f @ B_11 ) @ ( f @ ( suc @ B_11 ) ) ) ) |
% 61.16/9.45 ( ~( iLEQ @ ( suc @ A_1 ) @ ( suc @ B_11 ) ) ) |
% 61.16/9.45 ( ~( E @ 0 @ ( f @ ( suc @ B_13 ) ) ) ) | ( ~( E @ 0 @ ( f @ B_12 ) ) ) |
% 61.16/9.45 ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ B_13 ) ) ) ) ) |
% 61.16/9.45 ( ~( E @ ( f @ B_13 ) @ ( f @ ( suc @ B_13 ) ) ) ) |
% 61.16/9.45 ( ~( iLEQ @ ( suc @ B_11 ) @ ( suc @ B_12 ) ) ) |
% 61.16/9.45 ( E @ ( f @ A_1 ) @ ( f @ ( suc @ ( suc @ A_1 ) ) ) ) |
% 61.16/9.45 ( E @ ( f @ B_11 ) @ ( f @ ( suc @ ( suc @ B_11 ) ) ) ) |
% 61.16/9.45 ( E @ ( f @ B_12 ) @ ( f @ ( suc @ ( suc @ B_12 ) ) ) ) |
% 61.16/9.45 ( E @ ( f @ B_13 ) @ ( f @ ( suc @ ( suc @ B_13 ) ) ) ))).
% 61.16/9.45 thf(zip_derived_cl250, plain,
% 61.16/9.45 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 61.16/9.45 (~ (E @ 0 @ (f @ (suc @ X0)))
% 61.16/9.45 | ~ (iLEQ @ (suc @ X1) @ (suc @ X2))
% 61.16/9.45 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 61.16/9.45 | ~ (E @ 0 @ (f @ (suc @ X3)))
% 61.16/9.45 | ~ (E @ 0 @ (f @ (suc @ (suc @ X3))))
% 61.16/9.45 | ~ (E @ 0 @ (f @ X0))
% 61.16/9.45 | ~ (E @ 0 @ (f @ X3))
% 61.16/9.45 | ~ (E @ 0 @ (f @ X2))
% 61.16/9.45 | ~ (E @ 0 @ (f @ (suc @ X1)))
% 61.16/9.45 | ~ (E @ (f @ X1) @ (f @ (suc @ X1)))
% 61.16/9.45 | ~ (E @ 0 @ (f @ (suc @ (suc @ X1))))
% 61.16/9.45 | ~ (E @ (f @ X3) @ (f @ (suc @ X3)))
% 61.16/9.45 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 61.16/9.45 | ~ (iLEQ @ (suc @ X3) @ (suc @ X0))
% 61.16/9.45 | ~ (E @ 0 @ (f @ (suc @ X2)))
% 61.16/9.45 | ~ (E @ 0 @ (f @ X1))
% 61.16/9.45 | ~ (E @ 0 @ (f @ (suc @ (suc @ X2))))
% 61.16/9.45 | ~ (E @ (f @ X2) @ (f @ (suc @ X2)))
% 61.16/9.45 | ~ (iLEQ @ (suc @ X0) @ (suc @ X1))
% 61.16/9.45 | (E @ (f @ X3) @ (f @ (suc @ (suc @ X3))))
% 61.16/9.45 | (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 61.16/9.45 | (E @ (f @ X1) @ (f @ (suc @ (suc @ X1))))
% 61.16/9.45 | (E @ (f @ X2) @ (f @ (suc @ (suc @ X2)))))),
% 61.16/9.45 inference('cnf', [status(esa)], [clause_27210])).
% 61.16/9.45 thf(zip_derived_cl665, plain,
% 61.16/9.45 (![X0 : $i, X1 : $i]:
% 61.16/9.45 ( (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 61.16/9.45 | (E @ (f @ X1) @ (f @ (suc @ (suc @ X1))))
% 61.16/9.45 | (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 61.16/9.45 | (E @ (f @ X1) @ (f @ (suc @ (suc @ X1))))
% 61.16/9.45 | ~ (iLEQ @ (suc @ X0) @ (suc @ X1))
% 61.16/9.45 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 61.16/9.45 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 61.16/9.45 | ~ (E @ 0 @ (f @ X1))
% 61.16/9.45 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 61.16/9.45 | ~ (iLEQ @ (suc @ X1) @ (suc @ X0))
% 61.16/9.45 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 61.16/9.45 | ~ (E @ (f @ X1) @ (f @ (suc @ X1)))
% 61.16/9.45 | ~ (E @ 0 @ (f @ (suc @ (suc @ X1))))
% 61.16/9.45 | ~ (E @ (f @ X1) @ (f @ (suc @ X1)))
% 61.16/9.45 | ~ (E @ 0 @ (f @ (suc @ X1)))
% 61.16/9.45 | ~ (E @ 0 @ (f @ X0))
% 61.16/9.45 | ~ (E @ 0 @ (f @ X1))
% 61.16/9.45 | ~ (E @ 0 @ (f @ X0))
% 61.16/9.45 | ~ (E @ 0 @ (f @ (suc @ (suc @ X1))))
% 61.16/9.45 | ~ (E @ 0 @ (f @ (suc @ X1)))
% 61.16/9.45 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 61.16/9.45 | ~ (E @ 0 @ (f @ (suc @ X0))))),
% 61.16/9.45 inference('eq_fact', [status(thm)], [zip_derived_cl250])).
% 61.16/9.45 thf(zip_derived_cl666, plain,
% 61.16/9.45 (![X0 : $i, X1 : $i]:
% 61.16/9.45 (~ (E @ 0 @ (f @ X0))
% 61.16/9.45 | ~ (E @ 0 @ (f @ (suc @ X1)))
% 61.16/9.45 | ~ (E @ 0 @ (f @ (suc @ (suc @ X1))))
% 61.16/9.45 | ~ (E @ (f @ X1) @ (f @ (suc @ X1)))
% 61.16/9.45 | ~ (iLEQ @ (suc @ X1) @ (suc @ X0))
% 61.16/9.45 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 61.16/9.45 | ~ (E @ 0 @ (f @ X1))
% 61.16/9.45 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 61.16/9.45 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 61.16/9.45 | ~ (iLEQ @ (suc @ X0) @ (suc @ X1))
% 61.16/9.45 | (E @ (f @ X1) @ (f @ (suc @ (suc @ X1))))
% 61.16/9.45 | (E @ (f @ X0) @ (f @ (suc @ (suc @ X0)))))),
% 61.16/9.45 inference('simplify', [status(thm)], [zip_derived_cl665])).
% 61.16/9.45 thf(zip_derived_cl671, plain,
% 61.16/9.45 ((~ (E @ 0 @ (f @ z))
% 61.16/9.45 | ~ (E @ 0 @ (f @ (suc @ z)))
% 61.16/9.45 | ~ (E @ 0 @ (f @ (suc @ (suc @ z))))
% 61.16/9.45 | ~ (E @ (f @ z) @ (f @ (suc @ z)))
% 61.16/9.45 | ~ (E @ 0 @ (f @ (suc @ z)))
% 61.16/9.45 | ~ (E @ 0 @ (f @ z))
% 61.16/9.45 | ~ (E @ 0 @ (f @ (suc @ (suc @ z))))
% 61.16/9.45 | ~ (E @ (f @ z) @ (f @ (suc @ z)))
% 61.16/9.45 | (E @ (f @ z) @ (f @ (suc @ (suc @ z))))
% 61.16/9.45 | (E @ (f @ z) @ (f @ (suc @ (suc @ z)))))),
% 61.16/9.45 inference('s_sup-', [status(thm)], [zip_derived_cl312, zip_derived_cl666])).
% 61.16/9.45 thf(zip_derived_cl268, plain, ( (E @ 0 @ (f @ z))),
% 61.16/9.45 inference('s_sup-', [status(thm)], [zip_derived_cl267, zip_derived_cl10])).
% 61.16/9.45 thf(zip_derived_cl270, plain, ( (E @ 0 @ (f @ (suc @ z)))),
% 61.16/9.45 inference('s_sup-', [status(thm)], [zip_derived_cl269, zip_derived_cl10])).
% 61.16/9.45 thf(zip_derived_cl281, plain,
% 61.16/9.45 (![X0 : $i]: ( (E @ 0 @ (f @ (suc @ (suc @ X0)))) | (LE @ (f @ X0) @ 0))),
% 61.16/9.45 inference('demod', [status(thm)], [zip_derived_cl242, zip_derived_cl64])).
% 61.16/9.45 thf(zip_derived_cl10, plain, (~ (LE @ (f @ z) @ 0)),
% 61.16/9.45 inference('cnf', [status(esa)], [clause_20481])).
% 61.16/9.45 thf(zip_derived_cl282, plain, ( (E @ 0 @ (f @ (suc @ (suc @ z))))),
% 61.16/9.45 inference('s_sup-', [status(thm)], [zip_derived_cl281, zip_derived_cl10])).
% 61.16/9.45 thf(zip_derived_cl312, plain, ( (iLEQ @ (suc @ z) @ (suc @ z))),
% 61.16/9.45 inference('s_sup-', [status(thm)], [zip_derived_cl311, zip_derived_cl10])).
% 61.16/9.45 thf(clause_2022, axiom,
% 61.16/9.45 (( ~( E @ 0 @ ( f @ ( suc @ B_11 ) ) ) ) |
% 61.16/9.45 ( ~( iLEQ @ ( suc @ B_12 ) @ ( suc @ B_13 ) ) ) |
% 61.16/9.45 ( ~( E @ 0 @ ( f @ ( suc @ A_1 ) ) ) ) | ( ~( E @ 0 @ ( f @ B_11 ) ) ) |
% 61.16/9.45 ( ~( E @ 0 @ ( f @ A_1 ) ) ) | ( ~( E @ 0 @ ( f @ B_13 ) ) ) |
% 61.16/9.45 ( ~( E @ 0 @ ( f @ ( suc @ B_12 ) ) ) ) |
% 61.16/9.45 ( ~( iLEQ @ ( suc @ A_1 ) @ ( suc @ B_11 ) ) ) |
% 61.16/9.45 ( ~( E @ 0 @ ( f @ ( suc @ B_13 ) ) ) ) | ( ~( E @ 0 @ ( f @ B_12 ) ) ) |
% 61.16/9.45 ( ~( iLEQ @ ( suc @ B_11 ) @ ( suc @ B_12 ) ) ) |
% 61.16/9.45 ( E @ ( f @ A_1 ) @ ( f @ ( suc @ A_1 ) ) ) |
% 61.16/9.45 ( E @ ( f @ B_11 ) @ ( f @ ( suc @ B_11 ) ) ) |
% 61.16/9.45 ( E @ ( f @ B_12 ) @ ( f @ ( suc @ B_12 ) ) ) |
% 61.16/9.45 ( E @ ( f @ B_13 ) @ ( f @ ( suc @ B_13 ) ) ))).
% 61.16/9.45 thf(zip_derived_cl221, plain,
% 61.16/9.45 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 61.16/9.45 (~ (E @ 0 @ (f @ (suc @ X0)))
% 61.16/9.45 | ~ (iLEQ @ (suc @ X1) @ (suc @ X2))
% 61.16/9.45 | ~ (E @ 0 @ (f @ (suc @ X3)))
% 61.16/9.45 | ~ (E @ 0 @ (f @ X0))
% 61.16/9.45 | ~ (E @ 0 @ (f @ X3))
% 61.16/9.45 | ~ (E @ 0 @ (f @ X2))
% 61.16/9.45 | ~ (E @ 0 @ (f @ (suc @ X1)))
% 61.16/9.45 | ~ (iLEQ @ (suc @ X3) @ (suc @ X0))
% 61.16/9.45 | ~ (E @ 0 @ (f @ (suc @ X2)))
% 61.16/9.45 | ~ (E @ 0 @ (f @ X1))
% 61.16/9.45 | ~ (iLEQ @ (suc @ X0) @ (suc @ X1))
% 61.16/9.45 | (E @ (f @ X3) @ (f @ (suc @ X3)))
% 61.16/9.45 | (E @ (f @ X0) @ (f @ (suc @ X0)))
% 61.16/9.45 | (E @ (f @ X1) @ (f @ (suc @ X1)))
% 61.16/9.45 | (E @ (f @ X2) @ (f @ (suc @ X2))))),
% 61.16/9.45 inference('cnf', [status(esa)], [clause_2022])).
% 61.16/9.45 thf(zip_derived_cl315, plain,
% 61.16/9.45 (![X0 : $i, X1 : $i]:
% 61.16/9.45 ( (E @ (f @ X0) @ (f @ (suc @ X0)))
% 61.16/9.45 | (E @ (f @ X1) @ (f @ (suc @ X1)))
% 61.16/9.45 | (E @ (f @ X0) @ (f @ (suc @ X0)))
% 61.16/9.45 | (E @ (f @ X1) @ (f @ (suc @ X1)))
% 61.16/9.45 | ~ (iLEQ @ (suc @ X0) @ (suc @ X1))
% 61.16/9.45 | ~ (E @ 0 @ (f @ X1))
% 61.16/9.45 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 61.16/9.45 | ~ (iLEQ @ (suc @ X1) @ (suc @ X0))
% 61.16/9.45 | ~ (E @ 0 @ (f @ (suc @ X1)))
% 61.16/9.45 | ~ (E @ 0 @ (f @ X0))
% 61.16/9.45 | ~ (E @ 0 @ (f @ X1))
% 61.16/9.45 | ~ (E @ 0 @ (f @ X0))
% 61.16/9.45 | ~ (E @ 0 @ (f @ (suc @ X1)))
% 61.16/9.45 | ~ (E @ 0 @ (f @ (suc @ X0))))),
% 61.16/9.45 inference('eq_fact', [status(thm)], [zip_derived_cl221])).
% 61.16/9.45 thf(zip_derived_cl316, plain,
% 61.16/9.45 (![X0 : $i, X1 : $i]:
% 61.16/9.45 (~ (E @ 0 @ (f @ X0))
% 61.16/9.45 | ~ (E @ 0 @ (f @ (suc @ X1)))
% 61.16/9.45 | ~ (iLEQ @ (suc @ X1) @ (suc @ X0))
% 61.16/9.45 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 61.16/9.45 | ~ (E @ 0 @ (f @ X1))
% 61.16/9.45 | ~ (iLEQ @ (suc @ X0) @ (suc @ X1))
% 61.16/9.45 | (E @ (f @ X1) @ (f @ (suc @ X1)))
% 61.16/9.45 | (E @ (f @ X0) @ (f @ (suc @ X0))))),
% 61.16/9.45 inference('simplify', [status(thm)], [zip_derived_cl315])).
% 61.16/9.45 thf(zip_derived_cl321, plain,
% 61.16/9.45 ((~ (E @ 0 @ (f @ z))
% 61.16/9.45 | ~ (E @ 0 @ (f @ (suc @ z)))
% 61.16/9.45 | ~ (E @ 0 @ (f @ (suc @ z)))
% 61.16/9.45 | ~ (E @ 0 @ (f @ z))
% 61.16/9.45 | (E @ (f @ z) @ (f @ (suc @ z)))
% 61.16/9.45 | (E @ (f @ z) @ (f @ (suc @ z))))),
% 61.16/9.45 inference('s_sup-', [status(thm)], [zip_derived_cl312, zip_derived_cl316])).
% 61.16/9.45 thf(zip_derived_cl268, plain, ( (E @ 0 @ (f @ z))),
% 61.16/9.45 inference('s_sup-', [status(thm)], [zip_derived_cl267, zip_derived_cl10])).
% 61.16/9.45 thf(zip_derived_cl270, plain, ( (E @ 0 @ (f @ (suc @ z)))),
% 61.16/9.45 inference('s_sup-', [status(thm)], [zip_derived_cl269, zip_derived_cl10])).
% 61.16/9.45 thf(zip_derived_cl270, plain, ( (E @ 0 @ (f @ (suc @ z)))),
% 61.16/9.45 inference('s_sup-', [status(thm)], [zip_derived_cl269, zip_derived_cl10])).
% 61.16/9.45 thf(zip_derived_cl268, plain, ( (E @ 0 @ (f @ z))),
% 61.16/9.45 inference('s_sup-', [status(thm)], [zip_derived_cl267, zip_derived_cl10])).
% 61.16/9.45 thf(zip_derived_cl323, plain,
% 61.16/9.45 (( (E @ (f @ z) @ (f @ (suc @ z))) | (E @ (f @ z) @ (f @ (suc @ z))))),
% 61.16/9.45 inference('demod', [status(thm)],
% 61.16/9.45 [zip_derived_cl321, zip_derived_cl268, zip_derived_cl270,
% 61.16/9.45 zip_derived_cl270, zip_derived_cl268])).
% 61.16/9.45 thf(zip_derived_cl324, plain, ( (E @ (f @ z) @ (f @ (suc @ z)))),
% 61.16/9.45 inference('simplify', [status(thm)], [zip_derived_cl323])).
% 61.16/9.45 thf(zip_derived_cl270, plain, ( (E @ 0 @ (f @ (suc @ z)))),
% 61.16/9.45 inference('s_sup-', [status(thm)], [zip_derived_cl269, zip_derived_cl10])).
% 61.16/9.45 thf(zip_derived_cl268, plain, ( (E @ 0 @ (f @ z))),
% 61.16/9.45 inference('s_sup-', [status(thm)], [zip_derived_cl267, zip_derived_cl10])).
% 61.16/9.45 thf(zip_derived_cl282, plain, ( (E @ 0 @ (f @ (suc @ (suc @ z))))),
% 61.16/9.45 inference('s_sup-', [status(thm)], [zip_derived_cl281, zip_derived_cl10])).
% 61.16/9.45 thf(zip_derived_cl324, plain, ( (E @ (f @ z) @ (f @ (suc @ z)))),
% 61.16/9.45 inference('simplify', [status(thm)], [zip_derived_cl323])).
% 61.16/9.45 thf(zip_derived_cl673, plain,
% 61.16/9.45 (( (E @ (f @ z) @ (f @ (suc @ (suc @ z))))
% 61.16/9.45 | (E @ (f @ z) @ (f @ (suc @ (suc @ z)))))),
% 61.16/9.45 inference('demod', [status(thm)],
% 61.16/9.45 [zip_derived_cl671, zip_derived_cl268, zip_derived_cl270,
% 61.16/9.45 zip_derived_cl282, zip_derived_cl324, zip_derived_cl270,
% 61.16/9.45 zip_derived_cl268, zip_derived_cl282, zip_derived_cl324])).
% 61.16/9.45 thf(zip_derived_cl674, plain, ( (E @ (f @ z) @ (f @ (suc @ (suc @ z))))),
% 61.16/9.45 inference('simplify', [status(thm)], [zip_derived_cl673])).
% 61.16/9.45 thf(zip_derived_cl674, plain, ( (E @ (f @ z) @ (f @ (suc @ (suc @ z))))),
% 61.16/9.45 inference('simplify', [status(thm)], [zip_derived_cl673])).
% 61.16/9.45 thf(zip_derived_cl282, plain, ( (E @ 0 @ (f @ (suc @ (suc @ z))))),
% 61.16/9.45 inference('s_sup-', [status(thm)], [zip_derived_cl281, zip_derived_cl10])).
% 61.16/9.45 thf(zip_derived_cl324, plain, ( (E @ (f @ z) @ (f @ (suc @ z)))),
% 61.16/9.45 inference('simplify', [status(thm)], [zip_derived_cl323])).
% 61.16/9.45 thf(zip_derived_cl270, plain, ( (E @ 0 @ (f @ (suc @ z)))),
% 61.16/9.45 inference('s_sup-', [status(thm)], [zip_derived_cl269, zip_derived_cl10])).
% 61.16/9.45 thf(zip_derived_cl268, plain, ( (E @ 0 @ (f @ z))),
% 61.16/9.45 inference('s_sup-', [status(thm)], [zip_derived_cl267, zip_derived_cl10])).
% 61.16/9.45 thf(zip_derived_cl283, plain,
% 61.16/9.45 (![X0 : $i]:
% 61.16/9.45 ( (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0))))) | (LE @ (f @ X0) @ 0))),
% 61.16/9.45 inference('demod', [status(thm)], [zip_derived_cl183, zip_derived_cl64])).
% 61.16/9.45 thf(zip_derived_cl10, plain, (~ (LE @ (f @ z) @ 0)),
% 61.16/9.45 inference('cnf', [status(esa)], [clause_20481])).
% 61.16/9.45 thf(zip_derived_cl284, plain, ( (E @ 0 @ (f @ (suc @ (suc @ (suc @ z)))))),
% 61.16/9.45 inference('s_sup-', [status(thm)], [zip_derived_cl283, zip_derived_cl10])).
% 61.16/9.45 thf(zip_derived_cl282, plain, ( (E @ 0 @ (f @ (suc @ (suc @ z))))),
% 61.16/9.45 inference('s_sup-', [status(thm)], [zip_derived_cl281, zip_derived_cl10])).
% 61.16/9.45 thf(zip_derived_cl324, plain, ( (E @ (f @ z) @ (f @ (suc @ z)))),
% 61.16/9.45 inference('simplify', [status(thm)], [zip_derived_cl323])).
% 61.16/9.45 thf(zip_derived_cl284, plain, ( (E @ 0 @ (f @ (suc @ (suc @ (suc @ z)))))),
% 61.16/9.45 inference('s_sup-', [status(thm)], [zip_derived_cl283, zip_derived_cl10])).
% 61.16/9.45 thf(zip_derived_cl1938, plain,
% 61.16/9.45 (( (E @ (f @ z) @ (f @ (suc @ (suc @ (suc @ z)))))
% 61.16/9.45 | (E @ (f @ z) @ (f @ (suc @ (suc @ (suc @ z))))))),
% 61.16/9.45 inference('demod', [status(thm)],
% 61.16/9.45 [zip_derived_cl1936, zip_derived_cl268, zip_derived_cl270,
% 61.16/9.45 zip_derived_cl674, zip_derived_cl674, zip_derived_cl282,
% 61.16/9.45 zip_derived_cl324, zip_derived_cl270, zip_derived_cl268,
% 61.16/9.45 zip_derived_cl284, zip_derived_cl282, zip_derived_cl324,
% 61.16/9.45 zip_derived_cl284])).
% 61.16/9.45 thf(zip_derived_cl1939, plain,
% 61.16/9.45 ( (E @ (f @ z) @ (f @ (suc @ (suc @ (suc @ z)))))),
% 61.16/9.45 inference('simplify', [status(thm)], [zip_derived_cl1938])).
% 61.16/9.45 thf(clause_30990, axiom,
% 61.16/9.45 (( ~( E @ ( f @ B_13 ) @ ( f @ ( suc @ ( suc @ ( suc @ B_13 ) ) ) ) ) ) |
% 61.16/9.45 ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ ( suc @ A_1 ) ) ) ) ) ) |
% 61.16/9.45 ( ~( E @ 0 @ ( f @ ( suc @ B_11 ) ) ) ) |
% 61.16/9.45 ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ ( suc @ B_11 ) ) ) ) ) ) |
% 61.16/9.45 ( ~( E @ ( f @ B_12 ) @ ( f @ ( suc @ ( suc @ ( suc @ B_12 ) ) ) ) ) ) |
% 61.16/9.45 ( ~( iLEQ @ ( suc @ B_12 ) @ ( suc @ B_13 ) ) ) |
% 61.16/9.45 ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ B_11 ) ) ) ) ) |
% 61.16/9.45 ( ~( E @ 0 @ ( f @ ( suc @ A_1 ) ) ) ) |
% 61.16/9.45 ( ~( E @ ( f @ A_1 ) @ ( f @ ( suc @ ( suc @ ( suc @ A_1 ) ) ) ) ) ) |
% 61.16/9.45 ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ A_1 ) ) ) ) ) |
% 61.16/9.45 ( ~( E @ 0 @ ( f @ B_11 ) ) ) | ( ~( E @ 0 @ ( f @ A_1 ) ) ) |
% 61.16/9.45 ( ~( E @ 0 @ ( f @ B_13 ) ) ) |
% 61.16/9.45 ( ~( E @ ( f @ B_11 ) @ ( f @ ( suc @ ( suc @ B_11 ) ) ) ) ) |
% 61.16/9.45 ( ~( E @ 0 @ ( f @ ( suc @ B_12 ) ) ) ) |
% 61.16/9.45 ( ~( E @ ( f @ B_13 ) @ ( f @ ( suc @ ( suc @ B_13 ) ) ) ) ) |
% 61.16/9.45 ( ~( E @ ( f @ B_12 ) @ ( f @ ( suc @ ( suc @ B_12 ) ) ) ) ) |
% 61.16/9.45 ( ~( E @ ( f @ A_1 ) @ ( f @ ( suc @ ( suc @ A_1 ) ) ) ) ) |
% 61.16/9.45 ( ~( E @ ( f @ B_12 ) @ ( f @ ( suc @ B_12 ) ) ) ) |
% 61.16/9.45 ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ B_12 ) ) ) ) ) |
% 61.16/9.45 ( ~( E @ ( f @ A_1 ) @ ( f @ ( suc @ A_1 ) ) ) ) |
% 61.16/9.45 ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ ( suc @ ( suc @ B_11 ) ) ) ) ) ) ) |
% 61.16/9.45 ( ~( E @ ( f @ B_11 ) @ ( f @ ( suc @ ( suc @ ( suc @ B_11 ) ) ) ) ) ) |
% 61.16/9.45 ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ ( suc @ ( suc @ B_13 ) ) ) ) ) ) ) |
% 61.16/9.45 ( ~( E @ ( f @ B_11 ) @ ( f @ ( suc @ B_11 ) ) ) ) |
% 61.16/9.45 ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ ( suc @ ( suc @ B_12 ) ) ) ) ) ) ) |
% 61.16/9.45 ( ~( iLEQ @ ( suc @ A_1 ) @ ( suc @ B_11 ) ) ) |
% 61.16/9.45 ( ~( E @ 0 @ ( f @ ( suc @ B_13 ) ) ) ) | ( ~( E @ 0 @ ( f @ B_12 ) ) ) |
% 61.16/9.45 ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ ( suc @ ( suc @ A_1 ) ) ) ) ) ) ) |
% 61.16/9.45 ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ ( suc @ B_13 ) ) ) ) ) ) |
% 61.16/9.45 ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ B_13 ) ) ) ) ) |
% 61.16/9.45 ( ~( E @ ( f @ B_13 ) @ ( f @ ( suc @ B_13 ) ) ) ) |
% 61.16/9.45 ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ ( suc @ B_12 ) ) ) ) ) ) |
% 61.16/9.45 ( ~( iLEQ @ ( suc @ B_11 ) @ ( suc @ B_12 ) ) ))).
% 61.16/9.45 thf(zip_derived_cl59, plain,
% 61.16/9.45 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 61.16/9.45 (~ (E @ (f @ X0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 61.16/9.45 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X1)))))
% 61.16/9.45 | ~ (E @ 0 @ (f @ (suc @ X2)))
% 61.16/9.45 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X2)))))
% 61.16/9.45 | ~ (E @ (f @ X3) @ (f @ (suc @ (suc @ (suc @ X3)))))
% 61.16/9.45 | ~ (iLEQ @ (suc @ X3) @ (suc @ X0))
% 61.16/9.45 | ~ (E @ 0 @ (f @ (suc @ (suc @ X2))))
% 61.16/9.45 | ~ (E @ 0 @ (f @ (suc @ X1)))
% 61.16/9.45 | ~ (E @ (f @ X1) @ (f @ (suc @ (suc @ (suc @ X1)))))
% 61.16/9.45 | ~ (E @ 0 @ (f @ (suc @ (suc @ X1))))
% 61.16/9.45 | ~ (E @ 0 @ (f @ X2))
% 61.16/9.45 | ~ (E @ 0 @ (f @ X1))
% 61.16/9.45 | ~ (E @ 0 @ (f @ X0))
% 61.16/9.45 | ~ (E @ (f @ X2) @ (f @ (suc @ (suc @ X2))))
% 61.16/9.45 | ~ (E @ 0 @ (f @ (suc @ X3)))
% 61.16/9.45 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 61.16/9.45 | ~ (E @ (f @ X3) @ (f @ (suc @ (suc @ X3))))
% 61.16/9.45 | ~ (E @ (f @ X1) @ (f @ (suc @ (suc @ X1))))
% 61.16/9.45 | ~ (E @ (f @ X3) @ (f @ (suc @ X3)))
% 61.16/9.45 | ~ (E @ 0 @ (f @ (suc @ (suc @ X3))))
% 61.16/9.45 | ~ (E @ (f @ X1) @ (f @ (suc @ X1)))
% 61.16/9.45 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ (suc @ X2))))))
% 61.16/9.45 | ~ (E @ (f @ X2) @ (f @ (suc @ (suc @ (suc @ X2)))))
% 61.16/9.45 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ (suc @ X0))))))
% 61.16/9.45 | ~ (E @ (f @ X2) @ (f @ (suc @ X2)))
% 61.16/9.45 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ (suc @ X3))))))
% 61.16/9.45 | ~ (iLEQ @ (suc @ X1) @ (suc @ X2))
% 61.16/9.45 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 61.16/9.45 | ~ (E @ 0 @ (f @ X3))
% 61.16/9.45 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ (suc @ X1))))))
% 61.16/9.45 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0)))))
% 61.16/9.45 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 61.16/9.45 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 61.16/9.45 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X3)))))
% 61.16/9.45 | ~ (iLEQ @ (suc @ X2) @ (suc @ X3)))),
% 61.16/9.45 inference('cnf', [status(esa)], [clause_30990])).
% 61.16/9.45 thf(zip_derived_cl275, plain,
% 61.16/9.45 (![X0 : $i, X1 : $i, X2 : $i]:
% 61.16/9.45 (~ (iLEQ @ (suc @ X1) @ (suc @ X0))
% 61.16/9.45 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0)))))
% 61.16/9.45 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 61.16/9.45 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 61.16/9.45 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0)))))
% 61.16/9.45 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ (suc @ X2))))))
% 61.16/9.45 | ~ (E @ 0 @ (f @ X0))
% 61.16/9.45 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 61.16/9.45 | ~ (iLEQ @ (suc @ X2) @ (suc @ X1))
% 61.16/9.45 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ (suc @ X0))))))
% 61.16/9.45 | ~ (E @ (f @ X1) @ (f @ (suc @ X1)))
% 61.16/9.45 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ (suc @ X0))))))
% 61.16/9.45 | ~ (E @ (f @ X1) @ (f @ (suc @ (suc @ (suc @ X1)))))
% 61.16/9.45 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ (suc @ X1))))))
% 61.16/9.45 | ~ (E @ (f @ X2) @ (f @ (suc @ X2)))
% 61.16/9.45 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 61.16/9.45 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 61.16/9.45 | ~ (E @ (f @ X2) @ (f @ (suc @ (suc @ X2))))
% 61.16/9.45 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 61.16/9.45 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 61.16/9.45 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 61.16/9.45 | ~ (E @ (f @ X1) @ (f @ (suc @ (suc @ X1))))
% 61.16/9.45 | ~ (E @ 0 @ (f @ X0))
% 61.16/9.45 | ~ (E @ 0 @ (f @ X2))
% 61.16/9.45 | ~ (E @ 0 @ (f @ X1))
% 61.16/9.45 | ~ (E @ 0 @ (f @ (suc @ (suc @ X2))))
% 61.16/9.45 | ~ (E @ (f @ X2) @ (f @ (suc @ (suc @ (suc @ X2)))))
% 61.16/9.45 | ~ (E @ 0 @ (f @ (suc @ X2)))
% 61.16/9.45 | ~ (E @ 0 @ (f @ (suc @ (suc @ X1))))
% 61.16/9.45 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 61.16/9.45 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 61.16/9.45 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X1)))))
% 61.16/9.45 | ~ (E @ 0 @ (f @ (suc @ X1)))
% 61.16/9.45 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X2))))))),
% 61.16/9.45 inference('eq_fact', [status(thm)], [zip_derived_cl59])).
% 61.16/9.45 thf(zip_derived_cl278, plain,
% 61.16/9.45 (![X0 : $i, X1 : $i, X2 : $i]:
% 61.16/9.45 (~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X2)))))
% 61.16/9.45 | ~ (E @ 0 @ (f @ (suc @ X1)))
% 61.16/9.45 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X1)))))
% 61.16/9.45 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 61.16/9.45 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 61.16/9.45 | ~ (E @ 0 @ (f @ (suc @ (suc @ X1))))
% 61.16/9.45 | ~ (E @ 0 @ (f @ (suc @ X2)))
% 61.16/9.45 | ~ (E @ (f @ X2) @ (f @ (suc @ (suc @ (suc @ X2)))))
% 61.16/9.45 | ~ (E @ 0 @ (f @ (suc @ (suc @ X2))))
% 61.16/9.45 | ~ (E @ 0 @ (f @ X1))
% 61.16/9.45 | ~ (E @ 0 @ (f @ X2))
% 61.16/9.45 | ~ (E @ (f @ X1) @ (f @ (suc @ (suc @ X1))))
% 61.16/9.45 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 61.16/9.45 | ~ (E @ (f @ X2) @ (f @ (suc @ (suc @ X2))))
% 61.16/9.45 | ~ (E @ (f @ X2) @ (f @ (suc @ X2)))
% 61.16/9.45 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ (suc @ X1))))))
% 61.16/9.45 | ~ (E @ (f @ X1) @ (f @ (suc @ (suc @ (suc @ X1)))))
% 61.16/9.45 | ~ (E @ (f @ X1) @ (f @ (suc @ X1)))
% 61.16/9.45 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ (suc @ X0))))))
% 61.16/9.45 | ~ (iLEQ @ (suc @ X2) @ (suc @ X1))
% 61.16/9.45 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 61.16/9.45 | ~ (E @ 0 @ (f @ X0))
% 61.16/9.45 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ (suc @ X2))))))
% 61.16/9.45 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 61.16/9.45 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 61.16/9.45 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0)))))
% 61.16/9.45 | ~ (iLEQ @ (suc @ X1) @ (suc @ X0)))),
% 61.16/9.45 inference('simplify', [status(thm)], [zip_derived_cl275])).
% 61.16/9.45 thf(zip_derived_cl299, plain,
% 61.16/9.45 (![X0 : $i, X1 : $i]:
% 61.16/9.45 (~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 61.16/9.45 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0)))))
% 61.16/9.45 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 61.16/9.45 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 61.16/9.45 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ (suc @ X1))))))
% 61.16/9.45 | ~ (E @ 0 @ (f @ X0))
% 61.16/9.45 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 61.16/9.45 | ~ (iLEQ @ (suc @ X1) @ (suc @ X0))
% 61.16/9.45 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ (suc @ X0))))))
% 61.16/9.45 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 61.16/9.45 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 61.16/9.45 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ (suc @ X0))))))
% 61.16/9.45 | ~ (E @ (f @ X1) @ (f @ (suc @ X1)))
% 61.16/9.45 | ~ (E @ (f @ X1) @ (f @ (suc @ (suc @ X1))))
% 61.16/9.45 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 61.16/9.45 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 61.16/9.45 | ~ (E @ 0 @ (f @ X1))
% 61.16/9.45 | ~ (E @ 0 @ (f @ X0))
% 61.16/9.45 | ~ (E @ 0 @ (f @ (suc @ (suc @ X1))))
% 61.16/9.45 | ~ (E @ (f @ X1) @ (f @ (suc @ (suc @ (suc @ X1)))))
% 61.16/9.45 | ~ (E @ 0 @ (f @ (suc @ X1)))
% 61.16/9.45 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 61.16/9.45 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 61.16/9.45 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0)))))
% 61.16/9.45 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 61.16/9.45 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X1))))))),
% 61.16/9.45 inference('eq_fact', [status(thm)], [zip_derived_cl278])).
% 61.16/9.45 thf(zip_derived_cl301, plain,
% 61.16/9.45 (![X0 : $i, X1 : $i]:
% 61.16/9.45 (~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X1)))))
% 61.16/9.45 | ~ (E @ 0 @ (f @ (suc @ X1)))
% 61.16/9.45 | ~ (E @ (f @ X1) @ (f @ (suc @ (suc @ (suc @ X1)))))
% 61.16/9.45 | ~ (E @ 0 @ (f @ (suc @ (suc @ X1))))
% 61.16/9.45 | ~ (E @ 0 @ (f @ X1))
% 61.16/9.45 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 61.16/9.45 | ~ (E @ (f @ X1) @ (f @ (suc @ (suc @ X1))))
% 61.16/9.45 | ~ (E @ (f @ X1) @ (f @ (suc @ X1)))
% 61.16/9.45 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 61.16/9.45 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ (suc @ X0))))))
% 61.16/9.45 | ~ (iLEQ @ (suc @ X1) @ (suc @ X0))
% 61.16/9.45 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 61.16/9.45 | ~ (E @ 0 @ (f @ X0))
% 61.16/9.45 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ (suc @ X1))))))
% 61.16/9.45 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 61.16/9.45 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 61.16/9.45 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0)))))
% 61.16/9.45 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 61.16/9.45 inference('simplify', [status(thm)], [zip_derived_cl299])).
% 61.16/9.45 thf(zip_derived_cl337, plain,
% 61.16/9.45 (![X0 : $i]:
% 61.16/9.45 (~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 61.16/9.45 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0)))))
% 61.16/9.45 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 61.16/9.45 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 61.16/9.45 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ (suc @ X0))))))
% 61.16/9.45 | ~ (E @ 0 @ (f @ X0))
% 61.16/9.45 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 61.16/9.45 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 61.16/9.45 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ (suc @ X0))))))
% 61.16/9.45 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 61.16/9.45 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 61.16/9.45 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 61.16/9.45 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 61.16/9.45 | ~ (E @ 0 @ (f @ X0))
% 61.16/9.45 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 61.16/9.45 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 61.16/9.45 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0))))))),
% 61.16/9.45 inference('eq_fact', [status(thm)], [zip_derived_cl301])).
% 61.16/9.45 thf(zip_derived_cl338, plain,
% 61.16/9.45 (![X0 : $i]:
% 61.16/9.45 (~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 61.16/9.45 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 61.16/9.45 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 61.16/9.45 | ~ (E @ 0 @ (f @ X0))
% 61.16/9.45 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ (suc @ X0))))))
% 61.16/9.45 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 61.16/9.45 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 61.16/9.45 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0)))))
% 61.16/9.45 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 61.16/9.45 inference('simplify', [status(thm)], [zip_derived_cl337])).
% 61.16/9.45 thf(zip_derived_cl2055, plain,
% 61.16/9.45 ((~ (E @ (f @ z) @ (f @ (suc @ (suc @ z))))
% 61.16/9.45 | ~ (E @ 0 @ (f @ (suc @ z)))
% 61.16/9.45 | ~ (E @ 0 @ (f @ z))
% 61.16/9.45 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ (suc @ z))))))
% 61.16/9.45 | ~ (E @ 0 @ (f @ (suc @ (suc @ z))))
% 61.16/9.45 | ~ (E @ (f @ z) @ (f @ (suc @ z)))
% 61.16/9.45 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ z)))))
% 61.16/9.45 | ~ (iLEQ @ (suc @ z) @ (suc @ z)))),
% 61.16/9.45 inference('s_sup-', [status(thm)],
% 61.16/9.45 [zip_derived_cl1939, zip_derived_cl338])).
% 61.16/9.45 thf(zip_derived_cl674, plain, ( (E @ (f @ z) @ (f @ (suc @ (suc @ z))))),
% 61.16/9.45 inference('simplify', [status(thm)], [zip_derived_cl673])).
% 61.16/9.45 thf(zip_derived_cl270, plain, ( (E @ 0 @ (f @ (suc @ z)))),
% 61.16/9.45 inference('s_sup-', [status(thm)], [zip_derived_cl269, zip_derived_cl10])).
% 61.16/9.45 thf(zip_derived_cl268, plain, ( (E @ 0 @ (f @ z))),
% 61.16/9.45 inference('s_sup-', [status(thm)], [zip_derived_cl267, zip_derived_cl10])).
% 61.16/9.45 thf(zip_derived_cl282, plain, ( (E @ 0 @ (f @ (suc @ (suc @ z))))),
% 61.16/9.45 inference('s_sup-', [status(thm)], [zip_derived_cl281, zip_derived_cl10])).
% 61.16/9.45 thf(zip_derived_cl324, plain, ( (E @ (f @ z) @ (f @ (suc @ z)))),
% 61.16/9.45 inference('simplify', [status(thm)], [zip_derived_cl323])).
% 61.16/9.45 thf(zip_derived_cl284, plain, ( (E @ 0 @ (f @ (suc @ (suc @ (suc @ z)))))),
% 61.16/9.45 inference('s_sup-', [status(thm)], [zip_derived_cl283, zip_derived_cl10])).
% 61.16/9.45 thf(zip_derived_cl312, plain, ( (iLEQ @ (suc @ z) @ (suc @ z))),
% 61.16/9.45 inference('s_sup-', [status(thm)], [zip_derived_cl311, zip_derived_cl10])).
% 61.16/9.45 thf(zip_derived_cl2254, plain,
% 61.16/9.45 (~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ (suc @ z))))))),
% 61.16/9.45 inference('demod', [status(thm)],
% 61.16/9.45 [zip_derived_cl2055, zip_derived_cl674, zip_derived_cl270,
% 61.16/9.45 zip_derived_cl268, zip_derived_cl282, zip_derived_cl324,
% 61.16/9.45 zip_derived_cl284, zip_derived_cl312])).
% 61.16/9.45 thf(zip_derived_cl285, plain,
% 61.16/9.45 (![X0 : $i]:
% 61.16/9.45 ( (E @ 0 @ (f @ (suc @ (suc @ (suc @ (suc @ X0))))))
% 61.16/9.45 | (LE @ (f @ X0) @ 0))),
% 61.16/9.45 inference('demod', [status(thm)], [zip_derived_cl27, zip_derived_cl64])).
% 61.16/9.45 thf(zip_derived_cl2338, plain, ( (LE @ (f @ z) @ 0)),
% 61.16/9.45 inference('s_sup+', [status(thm)],
% 61.16/9.45 [zip_derived_cl2254, zip_derived_cl285])).
% 61.16/9.45 thf(zip_derived_cl2340, plain, ($false),
% 61.16/9.45 inference('demod', [status(thm)], [zip_derived_cl10, zip_derived_cl2338])).
% 61.16/9.45
% 61.16/9.45 % SZS output end Refutation
% 61.16/9.45
% 61.16/9.45
% 61.16/9.45 % Terminating...
% 61.16/9.50 % Runner terminated.
% 61.16/9.51 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------