TSTP Solution File: SYO663-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYO663-1 : TPTP v8.1.2. Released v7.3.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.0VbrBSnV1e true
% Computer : n006.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 05:52:28 EDT 2023
% Result : Unsatisfiable 1.24s 1.05s
% Output : Refutation 1.24s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SYO663-1 : TPTP v8.1.2. Released v7.3.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.0VbrBSnV1e true
% 0.15/0.34 % Computer : n006.cluster.edu
% 0.15/0.34 % Model : x86_64 x86_64
% 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34 % Memory : 8042.1875MB
% 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34 % CPULimit : 300
% 0.15/0.34 % WCLimit : 300
% 0.15/0.34 % DateTime : Sat Aug 26 04:34:07 EDT 2023
% 0.15/0.34 % CPUTime :
% 0.15/0.34 % Running portfolio for 300 s
% 0.15/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.34 % Number of cores: 8
% 0.15/0.34 % Python version: Python 3.6.8
% 0.15/0.34 % Running in FO mode
% 0.21/0.66 % Total configuration time : 435
% 0.21/0.66 % Estimated wc time : 1092
% 0.21/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.71 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.73 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.74 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.82 % /export/starexec/sandbox/solver/bin/fo/fo1_lcnf.sh running for 50s
% 1.24/1.05 % Solved by fo/fo3_bce.sh.
% 1.24/1.05 % BCE start: 44
% 1.24/1.05 % BCE eliminated: 0
% 1.24/1.05 % PE start: 44
% 1.24/1.05 logic: neq
% 1.24/1.05 % PE eliminated: 0
% 1.24/1.05 % done 138 iterations in 0.285s
% 1.24/1.05 % SZS status Unsatisfiable for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.24/1.05 % SZS output start Refutation
% 1.24/1.05 thf(suc_type, type, suc: $i > $i).
% 1.24/1.05 thf(f_type, type, f: $i > $i).
% 1.24/1.05 thf(iLEQ_type, type, iLEQ: $i > $i > $o).
% 1.24/1.05 thf(z_type, type, z: $i).
% 1.24/1.05 thf(0_type, type, 0: $i).
% 1.24/1.05 thf(E_type, type, E: $i > $i > $o).
% 1.24/1.05 thf(s_type, type, s: $i > $i).
% 1.24/1.05 thf(LE_type, type, LE: $i > $i > $o).
% 1.24/1.05 thf(clause_593, axiom,
% 1.24/1.05 (( ~( E @ 0 @ ( f @ ( suc @ A_2 ) ) ) ) |
% 1.24/1.05 ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ A_2 ) ) ) ) ) |
% 1.24/1.05 ( ~( E @ 0 @ ( f @ B_36 ) ) ) |
% 1.24/1.05 ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ B_36 ) ) ) ) ) |
% 1.24/1.05 ( ~( E @ 0 @ ( f @ A_2 ) ) ) |
% 1.24/1.05 ( ~( E @ ( f @ B_38 ) @ ( f @ ( suc @ B_38 ) ) ) ) |
% 1.24/1.05 ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ B_37 ) ) ) ) ) |
% 1.24/1.05 ( ~( iLEQ @ ( suc @ B_37 ) @ ( suc @ B_38 ) ) ) |
% 1.24/1.05 ( ~( E @ 0 @ ( f @ ( suc @ B_36 ) ) ) ) |
% 1.24/1.05 ( ~( iLEQ @ ( suc @ A_2 ) @ ( suc @ B_36 ) ) ) |
% 1.24/1.05 ( ~( E @ ( f @ B_36 ) @ ( f @ ( suc @ B_36 ) ) ) ) |
% 1.24/1.05 ( ~( E @ 0 @ ( f @ ( suc @ B_37 ) ) ) ) | ( ~( E @ 0 @ ( f @ B_37 ) ) ) |
% 1.24/1.05 ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ B_38 ) ) ) ) ) |
% 1.24/1.05 ( ~( E @ 0 @ ( f @ ( suc @ B_38 ) ) ) ) |
% 1.24/1.05 ( ~( E @ ( f @ B_37 ) @ ( f @ ( suc @ B_37 ) ) ) ) |
% 1.24/1.05 ( ~( E @ 0 @ ( f @ B_38 ) ) ) |
% 1.24/1.05 ( ~( E @ ( f @ A_2 ) @ ( f @ ( suc @ A_2 ) ) ) ) |
% 1.24/1.05 ( ~( iLEQ @ ( suc @ B_36 ) @ ( suc @ B_37 ) ) ))).
% 1.24/1.05 thf(zip_derived_cl30, plain,
% 1.24/1.05 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.24/1.05 (~ (E @ 0 @ (f @ (suc @ X0)))
% 1.24/1.05 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 1.24/1.05 | ~ (E @ 0 @ (f @ X1))
% 1.24/1.05 | ~ (E @ 0 @ (f @ (suc @ (suc @ X1))))
% 1.24/1.05 | ~ (E @ 0 @ (f @ X0))
% 1.24/1.05 | ~ (E @ (f @ X2) @ (f @ (suc @ X2)))
% 1.24/1.05 | ~ (E @ 0 @ (f @ (suc @ (suc @ X3))))
% 1.24/1.05 | ~ (iLEQ @ (suc @ X3) @ (suc @ X2))
% 1.24/1.05 | ~ (E @ 0 @ (f @ (suc @ X1)))
% 1.24/1.05 | ~ (iLEQ @ (suc @ X0) @ (suc @ X1))
% 1.24/1.05 | ~ (E @ (f @ X1) @ (f @ (suc @ X1)))
% 1.24/1.05 | ~ (E @ 0 @ (f @ (suc @ X3)))
% 1.24/1.05 | ~ (E @ 0 @ (f @ X3))
% 1.24/1.05 | ~ (E @ 0 @ (f @ (suc @ (suc @ X2))))
% 1.24/1.05 | ~ (E @ 0 @ (f @ (suc @ X2)))
% 1.24/1.05 | ~ (E @ (f @ X3) @ (f @ (suc @ X3)))
% 1.24/1.05 | ~ (E @ 0 @ (f @ X2))
% 1.24/1.05 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.24/1.05 | ~ (iLEQ @ (suc @ X1) @ (suc @ X3)))),
% 1.24/1.05 inference('cnf', [status(esa)], [clause_593])).
% 1.24/1.05 thf(zip_derived_cl323, plain,
% 1.24/1.05 (![X0 : $i, X1 : $i]:
% 1.24/1.05 (~ (iLEQ @ (suc @ X0) @ (suc @ X1))
% 1.24/1.05 | ~ (E @ (f @ X1) @ (f @ (suc @ X1)))
% 1.24/1.05 | ~ (E @ 0 @ (f @ X0))
% 1.24/1.05 | ~ (E @ (f @ X1) @ (f @ (suc @ X1)))
% 1.24/1.05 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 1.24/1.05 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 1.24/1.05 | ~ (E @ 0 @ (f @ X1))
% 1.24/1.05 | ~ (E @ 0 @ (f @ (suc @ X1)))
% 1.24/1.05 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.24/1.05 | ~ (iLEQ @ (suc @ X1) @ (suc @ X0))
% 1.24/1.05 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 1.24/1.05 | ~ (E @ 0 @ (f @ (suc @ (suc @ X1))))
% 1.24/1.05 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.24/1.05 | ~ (E @ 0 @ (f @ X1))
% 1.24/1.05 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 1.24/1.05 | ~ (E @ 0 @ (f @ X0))
% 1.24/1.05 | ~ (E @ 0 @ (f @ (suc @ (suc @ X1))))
% 1.24/1.05 | ~ (E @ 0 @ (f @ (suc @ X1))))),
% 1.24/1.05 inference('eq_fact', [status(thm)], [zip_derived_cl30])).
% 1.24/1.05 thf(zip_derived_cl325, plain,
% 1.24/1.05 (![X0 : $i, X1 : $i]:
% 1.24/1.05 (~ (E @ 0 @ (f @ (suc @ (suc @ X1))))
% 1.24/1.05 | ~ (iLEQ @ (suc @ X1) @ (suc @ X0))
% 1.24/1.05 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.24/1.05 | ~ (E @ 0 @ (f @ (suc @ X1)))
% 1.24/1.05 | ~ (E @ 0 @ (f @ X1))
% 1.24/1.05 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 1.24/1.05 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 1.24/1.05 | ~ (E @ 0 @ (f @ X0))
% 1.24/1.05 | ~ (E @ (f @ X1) @ (f @ (suc @ X1)))
% 1.24/1.05 | ~ (iLEQ @ (suc @ X0) @ (suc @ X1)))),
% 1.24/1.05 inference('simplify', [status(thm)], [zip_derived_cl323])).
% 1.24/1.05 thf(zip_derived_cl549, plain,
% 1.24/1.05 (![X0 : $i]:
% 1.24/1.05 (~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 1.24/1.05 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.24/1.05 | ~ (E @ 0 @ (f @ X0))
% 1.24/1.05 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 1.24/1.05 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 1.24/1.05 | ~ (E @ 0 @ (f @ X0))
% 1.24/1.05 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 1.24/1.05 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.24/1.05 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0)))))),
% 1.24/1.05 inference('eq_fact', [status(thm)], [zip_derived_cl325])).
% 1.24/1.05 thf(zip_derived_cl550, plain,
% 1.24/1.05 (![X0 : $i]:
% 1.24/1.05 (~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 1.24/1.05 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 1.24/1.05 | ~ (E @ 0 @ (f @ X0))
% 1.24/1.05 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.24/1.05 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 1.24/1.05 inference('simplify', [status(thm)], [zip_derived_cl549])).
% 1.24/1.05 thf(clause_325, axiom,
% 1.24/1.05 (( ~( E @ 0 @ ( f @ ( suc @ A_2 ) ) ) ) | ( ~( E @ 0 @ ( f @ B_36 ) ) ) |
% 1.24/1.05 ( ~( E @ 0 @ ( f @ A_2 ) ) ) |
% 1.24/1.05 ( ~( iLEQ @ ( suc @ B_37 ) @ ( suc @ B_38 ) ) ) |
% 1.24/1.05 ( ~( E @ 0 @ ( f @ ( suc @ B_36 ) ) ) ) |
% 1.24/1.05 ( ~( iLEQ @ ( suc @ A_2 ) @ ( suc @ B_36 ) ) ) |
% 1.24/1.05 ( ~( E @ 0 @ ( f @ ( suc @ B_37 ) ) ) ) | ( ~( E @ 0 @ ( f @ B_37 ) ) ) |
% 1.24/1.05 ( ~( E @ 0 @ ( f @ ( suc @ B_38 ) ) ) ) | ( ~( E @ 0 @ ( f @ B_38 ) ) ) |
% 1.24/1.05 ( ~( iLEQ @ ( suc @ B_36 ) @ ( suc @ B_37 ) ) ) |
% 1.24/1.05 ( E @ ( f @ A_2 ) @ ( f @ ( suc @ A_2 ) ) ) |
% 1.24/1.05 ( E @ ( f @ B_36 ) @ ( f @ ( suc @ B_36 ) ) ) |
% 1.24/1.05 ( E @ ( f @ B_37 ) @ ( f @ ( suc @ B_37 ) ) ) |
% 1.24/1.05 ( E @ ( f @ B_38 ) @ ( f @ ( suc @ B_38 ) ) ))).
% 1.24/1.05 thf(zip_derived_cl18, plain,
% 1.24/1.05 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.24/1.05 (~ (E @ 0 @ (f @ (suc @ X0)))
% 1.24/1.05 | ~ (E @ 0 @ (f @ X1))
% 1.24/1.05 | ~ (E @ 0 @ (f @ X0))
% 1.24/1.05 | ~ (iLEQ @ (suc @ X2) @ (suc @ X3))
% 1.24/1.05 | ~ (E @ 0 @ (f @ (suc @ X1)))
% 1.24/1.05 | ~ (iLEQ @ (suc @ X0) @ (suc @ X1))
% 1.24/1.05 | ~ (E @ 0 @ (f @ (suc @ X2)))
% 1.24/1.05 | ~ (E @ 0 @ (f @ X2))
% 1.24/1.05 | ~ (E @ 0 @ (f @ (suc @ X3)))
% 1.24/1.05 | ~ (E @ 0 @ (f @ X3))
% 1.24/1.05 | ~ (iLEQ @ (suc @ X1) @ (suc @ X2))
% 1.24/1.05 | (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.24/1.05 | (E @ (f @ X1) @ (f @ (suc @ X1)))
% 1.24/1.05 | (E @ (f @ X2) @ (f @ (suc @ X2)))
% 1.24/1.05 | (E @ (f @ X3) @ (f @ (suc @ X3))))),
% 1.24/1.05 inference('cnf', [status(esa)], [clause_325])).
% 1.24/1.05 thf(zip_derived_cl99, plain,
% 1.24/1.05 (![X0 : $i, X1 : $i]:
% 1.24/1.05 ( (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.24/1.05 | (E @ (f @ X1) @ (f @ (suc @ X1)))
% 1.24/1.05 | (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.24/1.05 | (E @ (f @ X1) @ (f @ (suc @ X1)))
% 1.24/1.05 | ~ (iLEQ @ (suc @ X0) @ (suc @ X1))
% 1.24/1.05 | ~ (E @ 0 @ (f @ X0))
% 1.24/1.05 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 1.24/1.05 | ~ (E @ 0 @ (f @ X1))
% 1.24/1.05 | ~ (E @ 0 @ (f @ (suc @ X1)))
% 1.24/1.05 | ~ (iLEQ @ (suc @ X1) @ (suc @ X0))
% 1.24/1.05 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 1.24/1.05 | ~ (E @ 0 @ (f @ X1))
% 1.24/1.05 | ~ (E @ 0 @ (f @ X0))
% 1.24/1.05 | ~ (E @ 0 @ (f @ (suc @ X1))))),
% 1.24/1.05 inference('eq_fact', [status(thm)], [zip_derived_cl18])).
% 1.24/1.05 thf(zip_derived_cl101, plain,
% 1.24/1.05 (![X0 : $i, X1 : $i]:
% 1.24/1.05 (~ (iLEQ @ (suc @ X1) @ (suc @ X0))
% 1.24/1.05 | ~ (E @ 0 @ (f @ (suc @ X1)))
% 1.24/1.05 | ~ (E @ 0 @ (f @ X1))
% 1.24/1.05 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 1.24/1.05 | ~ (E @ 0 @ (f @ X0))
% 1.24/1.05 | ~ (iLEQ @ (suc @ X0) @ (suc @ X1))
% 1.24/1.05 | (E @ (f @ X1) @ (f @ (suc @ X1)))
% 1.24/1.05 | (E @ (f @ X0) @ (f @ (suc @ X0))))),
% 1.24/1.05 inference('simplify', [status(thm)], [zip_derived_cl99])).
% 1.24/1.05 thf(zip_derived_cl473, plain,
% 1.24/1.05 (![X0 : $i]:
% 1.24/1.05 ( (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.24/1.05 | (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.24/1.05 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 1.24/1.05 | ~ (E @ 0 @ (f @ X0))
% 1.24/1.05 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 1.24/1.05 | ~ (E @ 0 @ (f @ X0))
% 1.24/1.05 | ~ (E @ 0 @ (f @ (suc @ X0))))),
% 1.24/1.05 inference('eq_fact', [status(thm)], [zip_derived_cl101])).
% 1.24/1.05 thf(zip_derived_cl474, plain,
% 1.24/1.05 (![X0 : $i]:
% 1.24/1.05 (~ (E @ 0 @ (f @ (suc @ X0)))
% 1.24/1.05 | ~ (E @ 0 @ (f @ X0))
% 1.24/1.05 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 1.24/1.05 | (E @ (f @ X0) @ (f @ (suc @ X0))))),
% 1.24/1.05 inference('simplify', [status(thm)], [zip_derived_cl473])).
% 1.24/1.05 thf(clause_324, axiom,
% 1.24/1.05 (( ~( E @ 0 @ ( f @ A_2 ) ) ) | ( ~( E @ 0 @ ( f @ ( suc @ A_2 ) ) ) ) |
% 1.24/1.05 ( E @ ( f @ A_2 ) @ ( f @ ( suc @ A_2 ) ) ) |
% 1.24/1.05 ( iLEQ @ ( suc @ A_2 ) @ ( suc @ A_2 ) ))).
% 1.24/1.05 thf(zip_derived_cl7, plain,
% 1.24/1.05 (![X0 : $i]:
% 1.24/1.05 (~ (E @ 0 @ (f @ X0))
% 1.24/1.05 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 1.24/1.05 | (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.24/1.05 | (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 1.24/1.05 inference('cnf', [status(esa)], [clause_324])).
% 1.24/1.05 thf(zip_derived_cl479, plain,
% 1.24/1.05 (![X0 : $i]:
% 1.24/1.05 ( (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.24/1.05 | ~ (E @ 0 @ (f @ X0))
% 1.24/1.05 | ~ (E @ 0 @ (f @ (suc @ X0))))),
% 1.24/1.05 inference('clc', [status(thm)], [zip_derived_cl474, zip_derived_cl7])).
% 1.24/1.05 thf(zip_derived_cl553, plain,
% 1.24/1.05 (![X0 : $i]:
% 1.24/1.05 (~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 1.24/1.05 | ~ (E @ 0 @ (f @ X0))
% 1.24/1.05 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 1.24/1.05 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0)))))),
% 1.24/1.05 inference('clc', [status(thm)], [zip_derived_cl550, zip_derived_cl479])).
% 1.24/1.05 thf(clause_448, axiom,
% 1.24/1.05 (( ~( E @ 0 @ ( f @ ( suc @ ( suc @ A_2 ) ) ) ) ) |
% 1.24/1.05 ( ~( E @ 0 @ ( f @ ( suc @ A_2 ) ) ) ) |
% 1.24/1.05 ( ~( E @ ( f @ A_2 ) @ ( f @ ( suc @ A_2 ) ) ) ) |
% 1.24/1.05 ( ~( E @ 0 @ ( f @ A_2 ) ) ) | ( iLEQ @ ( suc @ A_2 ) @ ( suc @ A_2 ) ))).
% 1.24/1.05 thf(zip_derived_cl33, plain,
% 1.24/1.05 (![X0 : $i]:
% 1.24/1.05 (~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 1.24/1.05 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 1.24/1.05 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.24/1.05 | ~ (E @ 0 @ (f @ X0))
% 1.24/1.05 | (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 1.24/1.05 inference('cnf', [status(esa)], [clause_448])).
% 1.24/1.05 thf(zip_derived_cl7, plain,
% 1.24/1.05 (![X0 : $i]:
% 1.24/1.05 (~ (E @ 0 @ (f @ X0))
% 1.24/1.05 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 1.24/1.05 | (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.24/1.05 | (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 1.24/1.05 inference('cnf', [status(esa)], [clause_324])).
% 1.24/1.05 thf(zip_derived_cl66, plain,
% 1.24/1.05 (![X0 : $i]:
% 1.24/1.05 ( (iLEQ @ (suc @ X0) @ (suc @ X0))
% 1.24/1.05 | ~ (E @ 0 @ (f @ X0))
% 1.24/1.05 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 1.24/1.05 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0)))))),
% 1.24/1.05 inference('clc', [status(thm)], [zip_derived_cl33, zip_derived_cl7])).
% 1.24/1.05 thf(zip_derived_cl554, plain,
% 1.24/1.05 (![X0 : $i]:
% 1.24/1.05 (~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 1.24/1.05 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 1.24/1.05 | ~ (E @ 0 @ (f @ X0)))),
% 1.24/1.05 inference('clc', [status(thm)], [zip_derived_cl553, zip_derived_cl66])).
% 1.24/1.05 thf(clause_12, axiom,
% 1.24/1.05 (( ~( iLEQ @ ( suc @ B_25 ) @ ( suc @ B_26 ) ) ) |
% 1.24/1.05 ( ~( E @ ( s @ 0 ) @ ( f @ B_24 ) ) ) |
% 1.24/1.05 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ B_25 ) ) ) ) |
% 1.24/1.05 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ ( suc @ A_1 ) ) ) ) ) |
% 1.24/1.05 ( ~( E @ ( s @ 0 ) @ ( f @ B_26 ) ) ) |
% 1.24/1.05 ( ~( E @ ( s @ 0 ) @ ( f @ A_1 ) ) ) |
% 1.24/1.05 ( ~( iLEQ @ ( suc @ B_24 ) @ ( suc @ B_25 ) ) ) |
% 1.24/1.05 ( ~( E @ ( f @ B_24 ) @ ( f @ ( suc @ B_24 ) ) ) ) |
% 1.24/1.05 ( ~( E @ ( f @ B_26 ) @ ( f @ ( suc @ B_26 ) ) ) ) |
% 1.24/1.05 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ A_1 ) ) ) ) |
% 1.24/1.05 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ B_24 ) ) ) ) |
% 1.24/1.05 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ ( suc @ B_26 ) ) ) ) ) |
% 1.24/1.05 ( ~( iLEQ @ ( suc @ A_1 ) @ ( suc @ B_24 ) ) ) |
% 1.24/1.05 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ ( suc @ B_25 ) ) ) ) ) |
% 1.24/1.05 ( ~( E @ ( s @ 0 ) @ ( f @ B_25 ) ) ) |
% 1.24/1.05 ( ~( E @ ( f @ B_25 ) @ ( f @ ( suc @ B_25 ) ) ) ) |
% 1.24/1.05 ( ~( E @ ( f @ A_1 ) @ ( f @ ( suc @ A_1 ) ) ) ) |
% 1.24/1.05 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ B_26 ) ) ) ) |
% 1.24/1.05 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ ( suc @ B_24 ) ) ) ) ))).
% 1.24/1.05 thf(zip_derived_cl3, plain,
% 1.24/1.05 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.24/1.05 (~ (iLEQ @ (suc @ X0) @ (suc @ X1))
% 1.24/1.05 | ~ (E @ (s @ 0) @ (f @ X2))
% 1.24/1.05 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 1.24/1.05 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X3))))
% 1.24/1.05 | ~ (E @ (s @ 0) @ (f @ X1))
% 1.24/1.05 | ~ (E @ (s @ 0) @ (f @ X3))
% 1.24/1.05 | ~ (iLEQ @ (suc @ X2) @ (suc @ X0))
% 1.24/1.05 | ~ (E @ (f @ X2) @ (f @ (suc @ X2)))
% 1.24/1.05 | ~ (E @ (f @ X1) @ (f @ (suc @ X1)))
% 1.24/1.05 | ~ (E @ (s @ 0) @ (f @ (suc @ X3)))
% 1.24/1.05 | ~ (E @ (s @ 0) @ (f @ (suc @ X2)))
% 1.24/1.05 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X1))))
% 1.24/1.05 | ~ (iLEQ @ (suc @ X3) @ (suc @ X2))
% 1.24/1.05 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 1.24/1.05 | ~ (E @ (s @ 0) @ (f @ X0))
% 1.24/1.05 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.24/1.05 | ~ (E @ (f @ X3) @ (f @ (suc @ X3)))
% 1.24/1.05 | ~ (E @ (s @ 0) @ (f @ (suc @ X1)))
% 1.24/1.05 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X2)))))),
% 1.24/1.05 inference('cnf', [status(esa)], [clause_12])).
% 1.24/1.05 thf(zip_derived_cl137, plain,
% 1.24/1.05 (![X0 : $i, X1 : $i]:
% 1.24/1.05 (~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 1.24/1.05 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 1.24/1.05 | ~ (E @ (f @ X1) @ (f @ (suc @ X1)))
% 1.24/1.05 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.24/1.05 | ~ (E @ (s @ 0) @ (f @ X0))
% 1.24/1.05 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 1.24/1.05 | ~ (iLEQ @ (suc @ X1) @ (suc @ X0))
% 1.24/1.05 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 1.24/1.05 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 1.24/1.05 | ~ (E @ (s @ 0) @ (f @ (suc @ X1)))
% 1.24/1.05 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.24/1.05 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.24/1.05 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 1.24/1.05 | ~ (E @ (s @ 0) @ (f @ X1))
% 1.24/1.05 | ~ (E @ (s @ 0) @ (f @ X0))
% 1.24/1.05 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X1))))
% 1.24/1.05 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 1.24/1.05 | ~ (E @ (s @ 0) @ (f @ X0)))),
% 1.24/1.05 inference('eq_fact', [status(thm)], [zip_derived_cl3])).
% 1.24/1.05 thf(zip_derived_cl139, plain,
% 1.24/1.05 (![X0 : $i, X1 : $i]:
% 1.24/1.05 (~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X1))))
% 1.24/1.05 | ~ (E @ (s @ 0) @ (f @ X1))
% 1.24/1.05 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 1.24/1.05 | ~ (E @ (s @ 0) @ (f @ (suc @ X1)))
% 1.24/1.05 | ~ (iLEQ @ (suc @ X1) @ (suc @ X0))
% 1.24/1.05 | ~ (E @ (s @ 0) @ (f @ X0))
% 1.24/1.05 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.24/1.05 | ~ (E @ (f @ X1) @ (f @ (suc @ X1)))
% 1.24/1.05 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 1.24/1.05 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0)))))),
% 1.24/1.05 inference('simplify', [status(thm)], [zip_derived_cl137])).
% 1.24/1.05 thf(zip_derived_cl563, plain,
% 1.24/1.05 (![X0 : $i]:
% 1.24/1.05 (~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 1.24/1.05 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 1.24/1.05 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.24/1.05 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.24/1.05 | ~ (E @ (s @ 0) @ (f @ X0))
% 1.24/1.05 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 1.24/1.05 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 1.24/1.05 | ~ (E @ (s @ 0) @ (f @ X0))
% 1.24/1.05 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0)))))),
% 1.24/1.05 inference('eq_fact', [status(thm)], [zip_derived_cl139])).
% 1.24/1.05 thf(zip_derived_cl564, plain,
% 1.24/1.05 (![X0 : $i]:
% 1.24/1.05 (~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 1.24/1.05 | ~ (E @ (s @ 0) @ (f @ X0))
% 1.24/1.05 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.24/1.05 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 1.24/1.05 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0)))))),
% 1.24/1.05 inference('simplify', [status(thm)], [zip_derived_cl563])).
% 1.24/1.05 thf(clause_55, axiom,
% 1.24/1.05 (( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ ( suc @ A_1 ) ) ) ) ) |
% 1.24/1.05 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ A_1 ) ) ) ) |
% 1.24/1.05 ( ~( E @ ( f @ A_1 ) @ ( f @ ( suc @ A_1 ) ) ) ) |
% 1.24/1.05 ( ~( E @ ( s @ 0 ) @ ( f @ A_1 ) ) ) |
% 1.24/1.05 ( iLEQ @ ( suc @ A_1 ) @ ( suc @ A_1 ) ))).
% 1.24/1.05 thf(zip_derived_cl5, plain,
% 1.24/1.05 (![X0 : $i]:
% 1.24/1.05 (~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 1.24/1.05 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 1.24/1.05 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.24/1.05 | ~ (E @ (s @ 0) @ (f @ X0))
% 1.24/1.05 | (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 1.24/1.05 inference('cnf', [status(esa)], [clause_55])).
% 1.24/1.05 thf(clause_268, axiom,
% 1.24/1.05 (( ~( E @ ( s @ 0 ) @ ( f @ A_1 ) ) ) |
% 1.24/1.05 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ A_1 ) ) ) ) |
% 1.24/1.05 ( E @ ( f @ A_1 ) @ ( f @ ( suc @ A_1 ) ) ) |
% 1.24/1.05 ( iLEQ @ ( suc @ A_1 ) @ ( suc @ A_1 ) ))).
% 1.24/1.05 thf(zip_derived_cl32, plain,
% 1.24/1.05 (![X0 : $i]:
% 1.24/1.05 (~ (E @ (s @ 0) @ (f @ X0))
% 1.24/1.05 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 1.24/1.05 | (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.24/1.05 | (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 1.24/1.05 inference('cnf', [status(esa)], [clause_268])).
% 1.24/1.05 thf(zip_derived_cl90, plain,
% 1.24/1.05 (![X0 : $i]:
% 1.24/1.05 ( (iLEQ @ (suc @ X0) @ (suc @ X0))
% 1.24/1.05 | ~ (E @ (s @ 0) @ (f @ X0))
% 1.24/1.05 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 1.24/1.05 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0)))))),
% 1.24/1.05 inference('clc', [status(thm)], [zip_derived_cl5, zip_derived_cl32])).
% 1.24/1.05 thf(zip_derived_cl566, plain,
% 1.24/1.05 (![X0 : $i]:
% 1.24/1.05 (~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 1.24/1.05 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 1.24/1.05 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.24/1.05 | ~ (E @ (s @ 0) @ (f @ X0)))),
% 1.24/1.05 inference('clc', [status(thm)], [zip_derived_cl564, zip_derived_cl90])).
% 1.24/1.05 thf(zip_derived_cl32, plain,
% 1.24/1.05 (![X0 : $i]:
% 1.24/1.05 (~ (E @ (s @ 0) @ (f @ X0))
% 1.24/1.05 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 1.24/1.05 | (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.24/1.05 | (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 1.24/1.05 inference('cnf', [status(esa)], [clause_268])).
% 1.24/1.05 thf(clause_371, axiom,
% 1.24/1.05 (( ~( iLEQ @ ( suc @ B_25 ) @ ( suc @ B_26 ) ) ) |
% 1.24/1.05 ( ~( E @ ( s @ 0 ) @ ( f @ B_24 ) ) ) |
% 1.24/1.05 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ B_25 ) ) ) ) |
% 1.24/1.05 ( ~( E @ ( s @ 0 ) @ ( f @ B_26 ) ) ) |
% 1.24/1.05 ( ~( E @ ( s @ 0 ) @ ( f @ A_1 ) ) ) |
% 1.24/1.05 ( ~( iLEQ @ ( suc @ B_24 ) @ ( suc @ B_25 ) ) ) |
% 1.24/1.05 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ A_1 ) ) ) ) |
% 1.24/1.05 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ B_24 ) ) ) ) |
% 1.24/1.05 ( ~( iLEQ @ ( suc @ A_1 ) @ ( suc @ B_24 ) ) ) |
% 1.24/1.05 ( ~( E @ ( s @ 0 ) @ ( f @ B_25 ) ) ) |
% 1.24/1.05 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ B_26 ) ) ) ) |
% 1.24/1.05 ( E @ ( f @ A_1 ) @ ( f @ ( suc @ A_1 ) ) ) |
% 1.24/1.05 ( E @ ( f @ B_24 ) @ ( f @ ( suc @ B_24 ) ) ) |
% 1.24/1.05 ( E @ ( f @ B_25 ) @ ( f @ ( suc @ B_25 ) ) ) |
% 1.24/1.05 ( E @ ( f @ B_26 ) @ ( f @ ( suc @ B_26 ) ) ))).
% 1.24/1.05 thf(zip_derived_cl24, plain,
% 1.24/1.05 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.24/1.05 (~ (iLEQ @ (suc @ X0) @ (suc @ X1))
% 1.24/1.05 | ~ (E @ (s @ 0) @ (f @ X2))
% 1.24/1.05 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 1.24/1.05 | ~ (E @ (s @ 0) @ (f @ X1))
% 1.24/1.05 | ~ (E @ (s @ 0) @ (f @ X3))
% 1.24/1.05 | ~ (iLEQ @ (suc @ X2) @ (suc @ X0))
% 1.24/1.05 | ~ (E @ (s @ 0) @ (f @ (suc @ X3)))
% 1.24/1.05 | ~ (E @ (s @ 0) @ (f @ (suc @ X2)))
% 1.24/1.05 | ~ (iLEQ @ (suc @ X3) @ (suc @ X2))
% 1.24/1.05 | ~ (E @ (s @ 0) @ (f @ X0))
% 1.24/1.05 | ~ (E @ (s @ 0) @ (f @ (suc @ X1)))
% 1.24/1.05 | (E @ (f @ X3) @ (f @ (suc @ X3)))
% 1.24/1.05 | (E @ (f @ X2) @ (f @ (suc @ X2)))
% 1.24/1.05 | (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.24/1.05 | (E @ (f @ X1) @ (f @ (suc @ X1))))),
% 1.24/1.05 inference('cnf', [status(esa)], [clause_371])).
% 1.24/1.05 thf(zip_derived_cl197, plain,
% 1.24/1.05 (![X0 : $i, X1 : $i]:
% 1.24/1.05 ( (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.24/1.05 | (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.24/1.05 | (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.24/1.05 | (E @ (f @ X1) @ (f @ (suc @ X1)))
% 1.24/1.05 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 1.24/1.05 | ~ (E @ (s @ 0) @ (f @ X0))
% 1.24/1.05 | ~ (iLEQ @ (suc @ X1) @ (suc @ X0))
% 1.24/1.05 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 1.24/1.05 | ~ (E @ (s @ 0) @ (f @ (suc @ X1)))
% 1.24/1.05 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 1.24/1.05 | ~ (E @ (s @ 0) @ (f @ X1))
% 1.24/1.05 | ~ (E @ (s @ 0) @ (f @ X0))
% 1.24/1.05 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 1.24/1.05 | ~ (E @ (s @ 0) @ (f @ X0)))),
% 1.24/1.05 inference('eq_fact', [status(thm)], [zip_derived_cl24])).
% 1.24/1.05 thf(zip_derived_cl199, plain,
% 1.24/1.05 (![X0 : $i, X1 : $i]:
% 1.24/1.05 (~ (E @ (s @ 0) @ (f @ X1))
% 1.24/1.05 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 1.24/1.05 | ~ (E @ (s @ 0) @ (f @ (suc @ X1)))
% 1.24/1.05 | ~ (iLEQ @ (suc @ X1) @ (suc @ X0))
% 1.24/1.05 | ~ (E @ (s @ 0) @ (f @ X0))
% 1.24/1.05 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 1.24/1.05 | (E @ (f @ X1) @ (f @ (suc @ X1)))
% 1.24/1.05 | (E @ (f @ X0) @ (f @ (suc @ X0))))),
% 1.24/1.05 inference('simplify', [status(thm)], [zip_derived_cl197])).
% 1.24/1.05 thf(zip_derived_cl32, plain,
% 1.24/1.05 (![X0 : $i]:
% 1.24/1.05 (~ (E @ (s @ 0) @ (f @ X0))
% 1.24/1.05 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 1.24/1.05 | (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.24/1.05 | (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 1.24/1.05 inference('cnf', [status(esa)], [clause_268])).
% 1.24/1.05 thf(zip_derived_cl495, plain,
% 1.24/1.05 (![X0 : $i, X1 : $i]:
% 1.24/1.05 ( (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.24/1.05 | (E @ (f @ X1) @ (f @ (suc @ X1)))
% 1.24/1.05 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 1.24/1.05 | ~ (E @ (s @ 0) @ (f @ X0))
% 1.24/1.05 | ~ (iLEQ @ (suc @ X1) @ (suc @ X0))
% 1.24/1.05 | ~ (E @ (s @ 0) @ (f @ (suc @ X1)))
% 1.24/1.05 | ~ (E @ (s @ 0) @ (f @ X1)))),
% 1.24/1.05 inference('clc', [status(thm)], [zip_derived_cl199, zip_derived_cl32])).
% 1.24/1.05 thf(zip_derived_cl499, plain,
% 1.24/1.05 (![X0 : $i]:
% 1.24/1.05 ( (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.24/1.05 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 1.24/1.05 | ~ (E @ (s @ 0) @ (f @ X0))
% 1.24/1.05 | ~ (E @ (s @ 0) @ (f @ X0))
% 1.24/1.05 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 1.24/1.05 | ~ (E @ (s @ 0) @ (f @ X0))
% 1.24/1.05 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 1.24/1.05 | (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.24/1.05 | (E @ (f @ X0) @ (f @ (suc @ X0))))),
% 1.24/1.05 inference('sup-', [status(thm)], [zip_derived_cl32, zip_derived_cl495])).
% 1.24/1.05 thf(zip_derived_cl502, plain,
% 1.24/1.05 (![X0 : $i]:
% 1.24/1.05 (~ (E @ (s @ 0) @ (f @ X0))
% 1.24/1.05 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 1.24/1.05 | (E @ (f @ X0) @ (f @ (suc @ X0))))),
% 1.24/1.05 inference('simplify', [status(thm)], [zip_derived_cl499])).
% 1.24/1.05 thf(zip_derived_cl567, plain,
% 1.24/1.05 (![X0 : $i]:
% 1.24/1.05 (~ (E @ (s @ 0) @ (f @ X0))
% 1.24/1.05 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 1.24/1.05 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0)))))),
% 1.24/1.05 inference('clc', [status(thm)], [zip_derived_cl566, zip_derived_cl502])).
% 1.24/1.05 thf(clause_312, axiom,
% 1.24/1.05 (( ~( LE @ ( f @ ( suc @ ( suc @ B_23 ) ) ) @ ( s @ ( s @ 0 ) ) ) ) |
% 1.24/1.05 ( E @ ( s @ 0 ) @ ( f @ ( suc @ ( suc @ B_23 ) ) ) ) |
% 1.24/1.05 ( LE @ ( f @ B_23 ) @ ( s @ 0 ) ))).
% 1.24/1.05 thf(zip_derived_cl6, plain,
% 1.24/1.05 (![X0 : $i]:
% 1.24/1.05 (~ (LE @ (f @ (suc @ (suc @ X0))) @ (s @ (s @ 0)))
% 1.24/1.05 | (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 1.24/1.05 | (LE @ (f @ X0) @ (s @ 0)))),
% 1.24/1.05 inference('cnf', [status(esa)], [clause_312])).
% 1.24/1.05 thf(clause_216, axiom, (LE @ ( f @ A ) @ ( s @ ( s @ 0 ) ))).
% 1.24/1.05 thf(zip_derived_cl10, plain, (![X0 : $i]: (LE @ (f @ X0) @ (s @ (s @ 0)))),
% 1.24/1.05 inference('cnf', [status(esa)], [clause_216])).
% 1.24/1.05 thf(zip_derived_cl69, plain,
% 1.24/1.05 (![X0 : $i]:
% 1.24/1.05 ( (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 1.24/1.05 | (LE @ (f @ X0) @ (s @ 0)))),
% 1.24/1.05 inference('demod', [status(thm)], [zip_derived_cl6, zip_derived_cl10])).
% 1.24/1.05 thf(clause_93, axiom,
% 1.24/1.05 (( ~( LE @ ( f @ ( suc @ ( suc @ B_35 ) ) ) @ ( s @ 0 ) ) ) |
% 1.24/1.05 ( E @ 0 @ ( f @ ( suc @ ( suc @ B_35 ) ) ) ) | ( LE @ ( f @ B_35 ) @ 0 ))).
% 1.24/1.05 thf(zip_derived_cl26, plain,
% 1.24/1.05 (![X0 : $i]:
% 1.24/1.05 (~ (LE @ (f @ (suc @ (suc @ X0))) @ (s @ 0))
% 1.24/1.05 | (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 1.24/1.05 | (LE @ (f @ X0) @ 0))),
% 1.24/1.05 inference('cnf', [status(esa)], [clause_93])).
% 1.24/1.05 thf(zip_derived_cl72, plain,
% 1.24/1.05 (![X0 : $i]:
% 1.24/1.05 ( (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ (suc @ X0))))))
% 1.24/1.05 | (LE @ (f @ X0) @ 0)
% 1.24/1.05 | (E @ 0 @ (f @ (suc @ (suc @ X0)))))),
% 1.24/1.05 inference('sup-', [status(thm)], [zip_derived_cl69, zip_derived_cl26])).
% 1.24/1.05 thf(clause_292, axiom, (~( LE @ ( f @ z ) @ 0 ))).
% 1.24/1.05 thf(zip_derived_cl25, plain, (~ (LE @ (f @ z) @ 0)),
% 1.24/1.05 inference('cnf', [status(esa)], [clause_292])).
% 1.24/1.05 thf(zip_derived_cl467, plain,
% 1.24/1.05 (( (E @ 0 @ (f @ (suc @ (suc @ z))))
% 1.24/1.05 | (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ (suc @ z)))))))),
% 1.24/1.05 inference('sup-', [status(thm)], [zip_derived_cl72, zip_derived_cl25])).
% 1.24/1.05 thf(zip_derived_cl573, plain,
% 1.24/1.05 ((~ (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ z)))))
% 1.24/1.05 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ z))))
% 1.24/1.05 | (E @ 0 @ (f @ (suc @ (suc @ z)))))),
% 1.24/1.05 inference('sup+', [status(thm)], [zip_derived_cl567, zip_derived_cl467])).
% 1.24/1.05 thf(clause_564, axiom,
% 1.24/1.05 (( ~( LE @ ( f @ ( suc @ B_23 ) ) @ ( s @ ( s @ 0 ) ) ) ) |
% 1.24/1.05 ( E @ ( s @ 0 ) @ ( f @ ( suc @ B_23 ) ) ) |
% 1.24/1.05 ( LE @ ( f @ B_23 ) @ ( s @ 0 ) ))).
% 1.24/1.05 thf(zip_derived_cl41, plain,
% 1.24/1.05 (![X0 : $i]:
% 1.24/1.05 (~ (LE @ (f @ (suc @ X0)) @ (s @ (s @ 0)))
% 1.24/1.05 | (E @ (s @ 0) @ (f @ (suc @ X0)))
% 1.24/1.05 | (LE @ (f @ X0) @ (s @ 0)))),
% 1.24/1.05 inference('cnf', [status(esa)], [clause_564])).
% 1.24/1.05 thf(zip_derived_cl10, plain, (![X0 : $i]: (LE @ (f @ X0) @ (s @ (s @ 0)))),
% 1.24/1.05 inference('cnf', [status(esa)], [clause_216])).
% 1.24/1.05 thf(zip_derived_cl57, plain,
% 1.24/1.05 (![X0 : $i]:
% 1.24/1.05 ( (E @ (s @ 0) @ (f @ (suc @ X0))) | (LE @ (f @ X0) @ (s @ 0)))),
% 1.24/1.05 inference('demod', [status(thm)], [zip_derived_cl41, zip_derived_cl10])).
% 1.24/1.05 thf(zip_derived_cl26, plain,
% 1.24/1.05 (![X0 : $i]:
% 1.24/1.05 (~ (LE @ (f @ (suc @ (suc @ X0))) @ (s @ 0))
% 1.24/1.05 | (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 1.24/1.05 | (LE @ (f @ X0) @ 0))),
% 1.24/1.05 inference('cnf', [status(esa)], [clause_93])).
% 1.24/1.05 thf(zip_derived_cl60, plain,
% 1.24/1.05 (![X0 : $i]:
% 1.24/1.05 ( (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 1.24/1.05 | (LE @ (f @ X0) @ 0)
% 1.24/1.05 | (E @ 0 @ (f @ (suc @ (suc @ X0)))))),
% 1.24/1.05 inference('sup-', [status(thm)], [zip_derived_cl57, zip_derived_cl26])).
% 1.24/1.05 thf(zip_derived_cl25, plain, (~ (LE @ (f @ z) @ 0)),
% 1.24/1.05 inference('cnf', [status(esa)], [clause_292])).
% 1.24/1.05 thf(zip_derived_cl429, plain,
% 1.24/1.05 (( (E @ 0 @ (f @ (suc @ (suc @ z))))
% 1.24/1.05 | (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ z))))))),
% 1.24/1.05 inference('sup-', [status(thm)], [zip_derived_cl60, zip_derived_cl25])).
% 1.24/1.05 thf(zip_derived_cl590, plain,
% 1.24/1.05 (( (E @ 0 @ (f @ (suc @ (suc @ z))))
% 1.24/1.05 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ z)))))),
% 1.24/1.05 inference('clc', [status(thm)], [zip_derived_cl573, zip_derived_cl429])).
% 1.24/1.05 thf(zip_derived_cl26, plain,
% 1.24/1.05 (![X0 : $i]:
% 1.24/1.05 (~ (LE @ (f @ (suc @ (suc @ X0))) @ (s @ 0))
% 1.24/1.05 | (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 1.24/1.05 | (LE @ (f @ X0) @ 0))),
% 1.24/1.05 inference('cnf', [status(esa)], [clause_93])).
% 1.24/1.05 thf(clause_327, axiom,
% 1.24/1.05 (( ~( LE @ ( f @ B_23 ) @ ( s @ ( s @ 0 ) ) ) ) |
% 1.24/1.05 ( E @ ( s @ 0 ) @ ( f @ B_23 ) ) | ( LE @ ( f @ B_23 ) @ ( s @ 0 ) ))).
% 1.24/1.05 thf(zip_derived_cl29, plain,
% 1.24/1.05 (![X0 : $i]:
% 1.24/1.05 (~ (LE @ (f @ X0) @ (s @ (s @ 0)))
% 1.24/1.05 | (E @ (s @ 0) @ (f @ X0))
% 1.24/1.05 | (LE @ (f @ X0) @ (s @ 0)))),
% 1.24/1.05 inference('cnf', [status(esa)], [clause_327])).
% 1.24/1.05 thf(zip_derived_cl10, plain, (![X0 : $i]: (LE @ (f @ X0) @ (s @ (s @ 0)))),
% 1.24/1.05 inference('cnf', [status(esa)], [clause_216])).
% 1.24/1.05 thf(zip_derived_cl44, plain,
% 1.24/1.05 (![X0 : $i]: ( (E @ (s @ 0) @ (f @ X0)) | (LE @ (f @ X0) @ (s @ 0)))),
% 1.24/1.05 inference('demod', [status(thm)], [zip_derived_cl29, zip_derived_cl10])).
% 1.24/1.05 thf(zip_derived_cl55, plain,
% 1.24/1.05 (![X0 : $i]:
% 1.24/1.05 ( (LE @ (f @ X0) @ 0)
% 1.24/1.05 | (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 1.24/1.05 | (E @ (s @ 0) @ (f @ (suc @ (suc @ X0)))))),
% 1.24/1.05 inference('sup+', [status(thm)], [zip_derived_cl26, zip_derived_cl44])).
% 1.24/1.05 thf(zip_derived_cl25, plain, (~ (LE @ (f @ z) @ 0)),
% 1.24/1.05 inference('cnf', [status(esa)], [clause_292])).
% 1.24/1.05 thf(zip_derived_cl293, plain,
% 1.24/1.05 (( (E @ (s @ 0) @ (f @ (suc @ (suc @ z))))
% 1.24/1.05 | (E @ 0 @ (f @ (suc @ (suc @ z)))))),
% 1.24/1.05 inference('sup-', [status(thm)], [zip_derived_cl55, zip_derived_cl25])).
% 1.24/1.05 thf(zip_derived_cl591, plain, ( (E @ 0 @ (f @ (suc @ (suc @ z))))),
% 1.24/1.05 inference('clc', [status(thm)], [zip_derived_cl590, zip_derived_cl293])).
% 1.24/1.05 thf(zip_derived_cl593, plain,
% 1.24/1.05 ((~ (E @ 0 @ (f @ z)) | ~ (E @ 0 @ (f @ (suc @ z))))),
% 1.24/1.05 inference('sup+', [status(thm)], [zip_derived_cl554, zip_derived_cl591])).
% 1.24/1.05 thf(zip_derived_cl567, plain,
% 1.24/1.05 (![X0 : $i]:
% 1.24/1.05 (~ (E @ (s @ 0) @ (f @ X0))
% 1.24/1.05 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 1.24/1.05 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0)))))),
% 1.24/1.05 inference('clc', [status(thm)], [zip_derived_cl566, zip_derived_cl502])).
% 1.24/1.05 thf(zip_derived_cl69, plain,
% 1.24/1.05 (![X0 : $i]:
% 1.24/1.05 ( (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 1.24/1.05 | (LE @ (f @ X0) @ (s @ 0)))),
% 1.24/1.05 inference('demod', [status(thm)], [zip_derived_cl6, zip_derived_cl10])).
% 1.24/1.05 thf(clause_458, axiom,
% 1.24/1.05 (( ~( LE @ ( f @ B_35 ) @ ( s @ 0 ) ) ) | ( E @ 0 @ ( f @ B_35 ) ) |
% 1.24/1.05 ( LE @ ( f @ B_35 ) @ 0 ))).
% 1.24/1.05 thf(zip_derived_cl2, plain,
% 1.24/1.05 (![X0 : $i]:
% 1.24/1.05 (~ (LE @ (f @ X0) @ (s @ 0))
% 1.24/1.05 | (E @ 0 @ (f @ X0))
% 1.24/1.05 | (LE @ (f @ X0) @ 0))),
% 1.24/1.05 inference('cnf', [status(esa)], [clause_458])).
% 1.24/1.05 thf(zip_derived_cl70, plain,
% 1.24/1.05 (![X0 : $i]:
% 1.24/1.05 ( (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 1.24/1.05 | (LE @ (f @ X0) @ 0)
% 1.24/1.05 | (E @ 0 @ (f @ X0)))),
% 1.24/1.05 inference('sup-', [status(thm)], [zip_derived_cl69, zip_derived_cl2])).
% 1.24/1.05 thf(zip_derived_cl25, plain, (~ (LE @ (f @ z) @ 0)),
% 1.24/1.05 inference('cnf', [status(esa)], [clause_292])).
% 1.24/1.05 thf(zip_derived_cl205, plain,
% 1.24/1.05 (( (E @ 0 @ (f @ z)) | (E @ (s @ 0) @ (f @ (suc @ (suc @ z)))))),
% 1.24/1.05 inference('sup-', [status(thm)], [zip_derived_cl70, zip_derived_cl25])).
% 1.24/1.05 thf(zip_derived_cl568, plain,
% 1.24/1.05 ((~ (E @ (s @ 0) @ (f @ (suc @ z)))
% 1.24/1.05 | ~ (E @ (s @ 0) @ (f @ z))
% 1.24/1.05 | (E @ 0 @ (f @ z)))),
% 1.24/1.05 inference('sup+', [status(thm)], [zip_derived_cl567, zip_derived_cl205])).
% 1.24/1.05 thf(zip_derived_cl57, plain,
% 1.24/1.05 (![X0 : $i]:
% 1.24/1.05 ( (E @ (s @ 0) @ (f @ (suc @ X0))) | (LE @ (f @ X0) @ (s @ 0)))),
% 1.24/1.05 inference('demod', [status(thm)], [zip_derived_cl41, zip_derived_cl10])).
% 1.24/1.05 thf(zip_derived_cl2, plain,
% 1.24/1.05 (![X0 : $i]:
% 1.24/1.05 (~ (LE @ (f @ X0) @ (s @ 0))
% 1.24/1.05 | (E @ 0 @ (f @ X0))
% 1.24/1.05 | (LE @ (f @ X0) @ 0))),
% 1.24/1.05 inference('cnf', [status(esa)], [clause_458])).
% 1.24/1.05 thf(zip_derived_cl58, plain,
% 1.24/1.05 (![X0 : $i]:
% 1.24/1.05 ( (E @ (s @ 0) @ (f @ (suc @ X0)))
% 1.24/1.05 | (LE @ (f @ X0) @ 0)
% 1.24/1.05 | (E @ 0 @ (f @ X0)))),
% 1.24/1.05 inference('sup-', [status(thm)], [zip_derived_cl57, zip_derived_cl2])).
% 1.24/1.05 thf(zip_derived_cl25, plain, (~ (LE @ (f @ z) @ 0)),
% 1.24/1.05 inference('cnf', [status(esa)], [clause_292])).
% 1.24/1.05 thf(zip_derived_cl76, plain,
% 1.24/1.05 (( (E @ 0 @ (f @ z)) | (E @ (s @ 0) @ (f @ (suc @ z))))),
% 1.24/1.05 inference('sup-', [status(thm)], [zip_derived_cl58, zip_derived_cl25])).
% 1.24/1.05 thf(zip_derived_cl580, plain,
% 1.24/1.05 (( (E @ 0 @ (f @ z)) | ~ (E @ (s @ 0) @ (f @ z)))),
% 1.24/1.05 inference('clc', [status(thm)], [zip_derived_cl568, zip_derived_cl76])).
% 1.24/1.05 thf(zip_derived_cl44, plain,
% 1.24/1.05 (![X0 : $i]: ( (E @ (s @ 0) @ (f @ X0)) | (LE @ (f @ X0) @ (s @ 0)))),
% 1.24/1.05 inference('demod', [status(thm)], [zip_derived_cl29, zip_derived_cl10])).
% 1.24/1.05 thf(zip_derived_cl2, plain,
% 1.24/1.05 (![X0 : $i]:
% 1.24/1.05 (~ (LE @ (f @ X0) @ (s @ 0))
% 1.24/1.05 | (E @ 0 @ (f @ X0))
% 1.24/1.05 | (LE @ (f @ X0) @ 0))),
% 1.24/1.05 inference('cnf', [status(esa)], [clause_458])).
% 1.24/1.05 thf(zip_derived_cl45, plain,
% 1.24/1.05 (![X0 : $i]:
% 1.24/1.05 ( (E @ (s @ 0) @ (f @ X0))
% 1.24/1.05 | (LE @ (f @ X0) @ 0)
% 1.24/1.05 | (E @ 0 @ (f @ X0)))),
% 1.24/1.05 inference('sup-', [status(thm)], [zip_derived_cl44, zip_derived_cl2])).
% 1.24/1.05 thf(zip_derived_cl25, plain, (~ (LE @ (f @ z) @ 0)),
% 1.24/1.05 inference('cnf', [status(esa)], [clause_292])).
% 1.24/1.05 thf(zip_derived_cl53, plain,
% 1.24/1.05 (( (E @ 0 @ (f @ z)) | (E @ (s @ 0) @ (f @ z)))),
% 1.24/1.05 inference('sup-', [status(thm)], [zip_derived_cl45, zip_derived_cl25])).
% 1.24/1.05 thf(zip_derived_cl581, plain, ( (E @ 0 @ (f @ z))),
% 1.24/1.05 inference('clc', [status(thm)], [zip_derived_cl580, zip_derived_cl53])).
% 1.24/1.05 thf(zip_derived_cl567, plain,
% 1.24/1.05 (![X0 : $i]:
% 1.24/1.05 (~ (E @ (s @ 0) @ (f @ X0))
% 1.24/1.05 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 1.24/1.05 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0)))))),
% 1.24/1.05 inference('clc', [status(thm)], [zip_derived_cl566, zip_derived_cl502])).
% 1.24/1.05 thf(zip_derived_cl69, plain,
% 1.24/1.05 (![X0 : $i]:
% 1.24/1.05 ( (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 1.24/1.05 | (LE @ (f @ X0) @ (s @ 0)))),
% 1.24/1.05 inference('demod', [status(thm)], [zip_derived_cl6, zip_derived_cl10])).
% 1.24/1.05 thf(clause_539, axiom,
% 1.24/1.05 (( ~( LE @ ( f @ ( suc @ B_35 ) ) @ ( s @ 0 ) ) ) |
% 1.24/1.05 ( E @ 0 @ ( f @ ( suc @ B_35 ) ) ) | ( LE @ ( f @ B_35 ) @ 0 ))).
% 1.24/1.05 thf(zip_derived_cl14, plain,
% 1.24/1.05 (![X0 : $i]:
% 1.24/1.05 (~ (LE @ (f @ (suc @ X0)) @ (s @ 0))
% 1.24/1.05 | (E @ 0 @ (f @ (suc @ X0)))
% 1.24/1.05 | (LE @ (f @ X0) @ 0))),
% 1.24/1.05 inference('cnf', [status(esa)], [clause_539])).
% 1.24/1.05 thf(zip_derived_cl71, plain,
% 1.24/1.05 (![X0 : $i]:
% 1.24/1.05 ( (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 1.24/1.05 | (LE @ (f @ X0) @ 0)
% 1.24/1.05 | (E @ 0 @ (f @ (suc @ X0))))),
% 1.24/1.05 inference('sup-', [status(thm)], [zip_derived_cl69, zip_derived_cl14])).
% 1.24/1.05 thf(zip_derived_cl25, plain, (~ (LE @ (f @ z) @ 0)),
% 1.24/1.05 inference('cnf', [status(esa)], [clause_292])).
% 1.24/1.05 thf(zip_derived_cl355, plain,
% 1.24/1.05 (( (E @ 0 @ (f @ (suc @ z)))
% 1.24/1.05 | (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ z))))))),
% 1.24/1.05 inference('sup-', [status(thm)], [zip_derived_cl71, zip_derived_cl25])).
% 1.24/1.05 thf(zip_derived_cl571, plain,
% 1.24/1.05 ((~ (E @ (s @ 0) @ (f @ (suc @ (suc @ z))))
% 1.24/1.05 | ~ (E @ (s @ 0) @ (f @ (suc @ z)))
% 1.24/1.05 | (E @ 0 @ (f @ (suc @ z))))),
% 1.24/1.05 inference('sup+', [status(thm)], [zip_derived_cl567, zip_derived_cl355])).
% 1.24/1.05 thf(zip_derived_cl57, plain,
% 1.24/1.05 (![X0 : $i]:
% 1.24/1.05 ( (E @ (s @ 0) @ (f @ (suc @ X0))) | (LE @ (f @ X0) @ (s @ 0)))),
% 1.24/1.05 inference('demod', [status(thm)], [zip_derived_cl41, zip_derived_cl10])).
% 1.24/1.05 thf(zip_derived_cl14, plain,
% 1.24/1.05 (![X0 : $i]:
% 1.24/1.05 (~ (LE @ (f @ (suc @ X0)) @ (s @ 0))
% 1.24/1.05 | (E @ 0 @ (f @ (suc @ X0)))
% 1.24/1.05 | (LE @ (f @ X0) @ 0))),
% 1.24/1.05 inference('cnf', [status(esa)], [clause_539])).
% 1.24/1.05 thf(zip_derived_cl59, plain,
% 1.24/1.05 (![X0 : $i]:
% 1.24/1.05 ( (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 1.24/1.05 | (LE @ (f @ X0) @ 0)
% 1.24/1.05 | (E @ 0 @ (f @ (suc @ X0))))),
% 1.24/1.05 inference('sup-', [status(thm)], [zip_derived_cl57, zip_derived_cl14])).
% 1.24/1.05 thf(zip_derived_cl25, plain, (~ (LE @ (f @ z) @ 0)),
% 1.24/1.05 inference('cnf', [status(esa)], [clause_292])).
% 1.24/1.05 thf(zip_derived_cl279, plain,
% 1.24/1.05 (( (E @ 0 @ (f @ (suc @ z))) | (E @ (s @ 0) @ (f @ (suc @ (suc @ z)))))),
% 1.24/1.05 inference('sup-', [status(thm)], [zip_derived_cl59, zip_derived_cl25])).
% 1.24/1.05 thf(zip_derived_cl586, plain,
% 1.24/1.05 (( (E @ 0 @ (f @ (suc @ z))) | ~ (E @ (s @ 0) @ (f @ (suc @ z))))),
% 1.24/1.05 inference('clc', [status(thm)], [zip_derived_cl571, zip_derived_cl279])).
% 1.24/1.05 thf(zip_derived_cl44, plain,
% 1.24/1.05 (![X0 : $i]: ( (E @ (s @ 0) @ (f @ X0)) | (LE @ (f @ X0) @ (s @ 0)))),
% 1.24/1.05 inference('demod', [status(thm)], [zip_derived_cl29, zip_derived_cl10])).
% 1.24/1.05 thf(zip_derived_cl14, plain,
% 1.24/1.05 (![X0 : $i]:
% 1.24/1.05 (~ (LE @ (f @ (suc @ X0)) @ (s @ 0))
% 1.24/1.05 | (E @ 0 @ (f @ (suc @ X0)))
% 1.24/1.05 | (LE @ (f @ X0) @ 0))),
% 1.24/1.05 inference('cnf', [status(esa)], [clause_539])).
% 1.24/1.05 thf(zip_derived_cl46, plain,
% 1.24/1.05 (![X0 : $i]:
% 1.24/1.05 ( (E @ (s @ 0) @ (f @ (suc @ X0)))
% 1.24/1.05 | (LE @ (f @ X0) @ 0)
% 1.24/1.05 | (E @ 0 @ (f @ (suc @ X0))))),
% 1.24/1.05 inference('sup-', [status(thm)], [zip_derived_cl44, zip_derived_cl14])).
% 1.24/1.05 thf(zip_derived_cl25, plain, (~ (LE @ (f @ z) @ 0)),
% 1.24/1.05 inference('cnf', [status(esa)], [clause_292])).
% 1.24/1.05 thf(zip_derived_cl131, plain,
% 1.24/1.05 (( (E @ 0 @ (f @ (suc @ z))) | (E @ (s @ 0) @ (f @ (suc @ z))))),
% 1.24/1.05 inference('sup-', [status(thm)], [zip_derived_cl46, zip_derived_cl25])).
% 1.24/1.05 thf(zip_derived_cl587, plain, ( (E @ 0 @ (f @ (suc @ z)))),
% 1.24/1.05 inference('clc', [status(thm)], [zip_derived_cl586, zip_derived_cl131])).
% 1.24/1.05 thf(zip_derived_cl594, plain, ($false),
% 1.24/1.05 inference('demod', [status(thm)],
% 1.24/1.05 [zip_derived_cl593, zip_derived_cl581, zip_derived_cl587])).
% 1.24/1.05
% 1.24/1.05 % SZS output end Refutation
% 1.24/1.05
% 1.24/1.05
% 1.24/1.05 % Terminating...
% 1.67/1.16 % Runner terminated.
% 1.69/1.18 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------