TSTP Solution File: SYO673-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYO673-1 : 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.7TG9hVEbdH true
% Computer : n009.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 05:52:31 EDT 2023
% Result : Unsatisfiable 5.80s 1.42s
% Output : Refutation 5.80s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SYO673-1 : TPTP v8.1.2. Released v7.3.0.
% 0.07/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.7TG9hVEbdH true
% 0.14/0.36 % Computer : n009.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 06:10:50 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % Running portfolio for 300 s
% 0.14/0.36 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.36 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.36 % Running in FO mode
% 0.47/0.65 % Total configuration time : 435
% 0.47/0.65 % Estimated wc time : 1092
% 0.47/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.56/0.74 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.56/0.75 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.56/0.76 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.56/0.77 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.56/0.77 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.56/0.78 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.56/0.78 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.59/0.82 % /export/starexec/sandbox/solver/bin/fo/fo1_lcnf.sh running for 50s
% 5.80/1.42 % Solved by fo/fo3_bce.sh.
% 5.80/1.42 % BCE start: 65
% 5.80/1.42 % BCE eliminated: 0
% 5.80/1.42 % PE start: 65
% 5.80/1.42 logic: neq
% 5.80/1.42 % PE eliminated: 0
% 5.80/1.42 % done 314 iterations in 0.623s
% 5.80/1.42 % SZS status Unsatisfiable for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 5.80/1.42 % SZS output start Refutation
% 5.80/1.42 thf(LE_type, type, LE: $i > $i > $o).
% 5.80/1.42 thf(f_type, type, f: $i > $i).
% 5.80/1.42 thf(0_type, type, 0: $i).
% 5.80/1.42 thf(iLEQ_type, type, iLEQ: $i > $i > $o).
% 5.80/1.42 thf(suc_type, type, suc: $i > $i).
% 5.80/1.42 thf(z_type, type, z: $i).
% 5.80/1.42 thf(s_type, type, s: $i > $i).
% 5.80/1.42 thf(E_type, type, E: $i > $i > $o).
% 5.80/1.42 thf(clause_1397, axiom,
% 5.80/1.42 (( ~( E @ 0 @ ( f @ ( suc @ B_82 ) ) ) ) |
% 5.80/1.42 ( ~( E @ ( f @ B_82 ) @ ( f @ ( suc @ B_82 ) ) ) ) |
% 5.80/1.42 ( ~( E @ 0 @ ( f @ B_80 ) ) ) |
% 5.80/1.42 ( ~( iLEQ @ ( suc @ B_80 ) @ ( suc @ B_81 ) ) ) |
% 5.80/1.42 ( ~( E @ ( f @ B_81 ) @ ( f @ ( suc @ B_81 ) ) ) ) |
% 5.80/1.42 ( ~( E @ ( f @ B_80 ) @ ( f @ ( suc @ B_80 ) ) ) ) |
% 5.80/1.42 ( ~( E @ 0 @ ( f @ ( suc @ B_81 ) ) ) ) | ( ~( E @ 0 @ ( f @ B_81 ) ) ) |
% 5.80/1.42 ( ~( E @ 0 @ ( f @ A_3 ) ) ) | ( ~( E @ 0 @ ( f @ B_82 ) ) ) |
% 5.80/1.42 ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ B_82 ) ) ) ) ) |
% 5.80/1.42 ( ~( iLEQ @ ( suc @ A_3 ) @ ( suc @ B_80 ) ) ) |
% 5.80/1.42 ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ A_3 ) ) ) ) ) |
% 5.80/1.42 ( ~( E @ 0 @ ( f @ ( suc @ A_3 ) ) ) ) |
% 5.80/1.42 ( ~( E @ ( f @ A_3 ) @ ( f @ ( suc @ A_3 ) ) ) ) |
% 5.80/1.42 ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ B_80 ) ) ) ) ) |
% 5.80/1.42 ( ~( E @ 0 @ ( f @ ( suc @ B_80 ) ) ) ) |
% 5.80/1.42 ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ B_81 ) ) ) ) ) |
% 5.80/1.42 ( ~( iLEQ @ ( suc @ B_81 ) @ ( suc @ B_82 ) ) ))).
% 5.80/1.42 thf(zip_derived_cl12, plain,
% 5.80/1.42 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 5.80/1.42 (~ (E @ 0 @ (f @ (suc @ X0)))
% 5.80/1.42 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 5.80/1.42 | ~ (E @ 0 @ (f @ X1))
% 5.80/1.42 | ~ (iLEQ @ (suc @ X1) @ (suc @ X2))
% 5.80/1.42 | ~ (E @ (f @ X2) @ (f @ (suc @ X2)))
% 5.80/1.42 | ~ (E @ (f @ X1) @ (f @ (suc @ X1)))
% 5.80/1.42 | ~ (E @ 0 @ (f @ (suc @ X2)))
% 5.80/1.42 | ~ (E @ 0 @ (f @ X2))
% 5.80/1.42 | ~ (E @ 0 @ (f @ X3))
% 5.80/1.42 | ~ (E @ 0 @ (f @ X0))
% 5.80/1.42 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 5.80/1.42 | ~ (iLEQ @ (suc @ X3) @ (suc @ X1))
% 5.80/1.42 | ~ (E @ 0 @ (f @ (suc @ (suc @ X3))))
% 5.80/1.42 | ~ (E @ 0 @ (f @ (suc @ X3)))
% 5.80/1.42 | ~ (E @ (f @ X3) @ (f @ (suc @ X3)))
% 5.80/1.42 | ~ (E @ 0 @ (f @ (suc @ (suc @ X1))))
% 5.80/1.42 | ~ (E @ 0 @ (f @ (suc @ X1)))
% 5.80/1.42 | ~ (E @ 0 @ (f @ (suc @ (suc @ X2))))
% 5.80/1.42 | ~ (iLEQ @ (suc @ X2) @ (suc @ X0)))),
% 5.80/1.42 inference('cnf', [status(esa)], [clause_1397])).
% 5.80/1.42 thf(zip_derived_cl501, plain,
% 5.80/1.42 (![X0 : $i, X1 : $i]:
% 5.80/1.42 (~ (iLEQ @ (suc @ X0) @ (suc @ X1))
% 5.80/1.42 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 5.80/1.42 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 5.80/1.42 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 5.80/1.42 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 5.80/1.42 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 5.80/1.42 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 5.80/1.42 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 5.80/1.42 | ~ (E @ 0 @ (f @ (suc @ (suc @ X1))))
% 5.80/1.42 | ~ (E @ 0 @ (f @ X1))
% 5.80/1.42 | ~ (E @ 0 @ (f @ X0))
% 5.80/1.42 | ~ (E @ 0 @ (f @ X0))
% 5.80/1.42 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 5.80/1.42 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 5.80/1.42 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 5.80/1.42 | ~ (E @ 0 @ (f @ X0))
% 5.80/1.42 | ~ (E @ (f @ X1) @ (f @ (suc @ X1)))
% 5.80/1.42 | ~ (E @ 0 @ (f @ (suc @ X1))))),
% 5.80/1.42 inference('eq_fact', [status(thm)], [zip_derived_cl12])).
% 5.80/1.42 thf(zip_derived_cl503, plain,
% 5.80/1.42 (![X0 : $i, X1 : $i]:
% 5.80/1.42 (~ (E @ 0 @ (f @ (suc @ X1)))
% 5.80/1.42 | ~ (E @ (f @ X1) @ (f @ (suc @ X1)))
% 5.80/1.42 | ~ (E @ 0 @ (f @ X0))
% 5.80/1.42 | ~ (E @ 0 @ (f @ X1))
% 5.80/1.42 | ~ (E @ 0 @ (f @ (suc @ (suc @ X1))))
% 5.80/1.42 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 5.80/1.42 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 5.80/1.42 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 5.80/1.42 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 5.80/1.42 | ~ (iLEQ @ (suc @ X0) @ (suc @ X1)))),
% 5.80/1.42 inference('simplify', [status(thm)], [zip_derived_cl501])).
% 5.80/1.42 thf(zip_derived_cl1014, plain,
% 5.80/1.42 (![X0 : $i]:
% 5.80/1.42 (~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 5.80/1.42 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 5.80/1.42 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 5.80/1.42 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 5.80/1.42 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 5.80/1.42 | ~ (E @ 0 @ (f @ X0))
% 5.80/1.42 | ~ (E @ 0 @ (f @ X0))
% 5.80/1.42 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 5.80/1.42 | ~ (E @ 0 @ (f @ (suc @ X0))))),
% 5.80/1.42 inference('eq_fact', [status(thm)], [zip_derived_cl503])).
% 5.80/1.42 thf(zip_derived_cl1015, plain,
% 5.80/1.42 (![X0 : $i]:
% 5.80/1.42 (~ (E @ 0 @ (f @ X0))
% 5.80/1.42 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 5.80/1.42 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 5.80/1.42 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 5.80/1.42 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 5.80/1.42 inference('simplify', [status(thm)], [zip_derived_cl1014])).
% 5.80/1.42 thf(clause_332, axiom,
% 5.80/1.42 (( ~( E @ 0 @ ( f @ A_3 ) ) ) | ( ~( E @ 0 @ ( f @ ( suc @ A_3 ) ) ) ) |
% 5.80/1.42 ( E @ ( f @ A_3 ) @ ( f @ ( suc @ A_3 ) ) ) |
% 5.80/1.42 ( iLEQ @ ( suc @ A_3 ) @ ( suc @ A_3 ) ))).
% 5.80/1.42 thf(zip_derived_cl36, plain,
% 5.80/1.42 (![X0 : $i]:
% 5.80/1.42 (~ (E @ 0 @ (f @ X0))
% 5.80/1.42 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 5.80/1.42 | (E @ (f @ X0) @ (f @ (suc @ X0)))
% 5.80/1.42 | (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 5.80/1.42 inference('cnf', [status(esa)], [clause_332])).
% 5.80/1.42 thf(clause_1370, axiom,
% 5.80/1.42 (( ~( E @ 0 @ ( f @ ( suc @ B_82 ) ) ) ) | ( ~( E @ 0 @ ( f @ B_80 ) ) ) |
% 5.80/1.42 ( ~( iLEQ @ ( suc @ B_80 ) @ ( suc @ B_81 ) ) ) |
% 5.80/1.42 ( ~( E @ 0 @ ( f @ ( suc @ B_81 ) ) ) ) | ( ~( E @ 0 @ ( f @ B_81 ) ) ) |
% 5.80/1.42 ( ~( E @ 0 @ ( f @ A_3 ) ) ) | ( ~( E @ 0 @ ( f @ B_82 ) ) ) |
% 5.80/1.42 ( ~( iLEQ @ ( suc @ A_3 ) @ ( suc @ B_80 ) ) ) |
% 5.80/1.42 ( ~( E @ 0 @ ( f @ ( suc @ A_3 ) ) ) ) |
% 5.80/1.42 ( ~( E @ 0 @ ( f @ ( suc @ B_80 ) ) ) ) |
% 5.80/1.42 ( ~( iLEQ @ ( suc @ B_81 ) @ ( suc @ B_82 ) ) ) |
% 5.80/1.42 ( E @ ( f @ A_3 ) @ ( f @ ( suc @ A_3 ) ) ) |
% 5.80/1.42 ( E @ ( f @ B_80 ) @ ( f @ ( suc @ B_80 ) ) ) |
% 5.80/1.42 ( E @ ( f @ B_81 ) @ ( f @ ( suc @ B_81 ) ) ) |
% 5.80/1.42 ( E @ ( f @ B_82 ) @ ( f @ ( suc @ B_82 ) ) ))).
% 5.80/1.42 thf(zip_derived_cl1, plain,
% 5.80/1.42 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 5.80/1.42 (~ (E @ 0 @ (f @ (suc @ X0)))
% 5.80/1.42 | ~ (E @ 0 @ (f @ X1))
% 5.80/1.42 | ~ (iLEQ @ (suc @ X1) @ (suc @ X2))
% 5.80/1.42 | ~ (E @ 0 @ (f @ (suc @ X2)))
% 5.80/1.42 | ~ (E @ 0 @ (f @ X2))
% 5.80/1.42 | ~ (E @ 0 @ (f @ X3))
% 5.80/1.42 | ~ (E @ 0 @ (f @ X0))
% 5.80/1.42 | ~ (iLEQ @ (suc @ X3) @ (suc @ X1))
% 5.80/1.42 | ~ (E @ 0 @ (f @ (suc @ X3)))
% 5.80/1.42 | ~ (E @ 0 @ (f @ (suc @ X1)))
% 5.80/1.42 | ~ (iLEQ @ (suc @ X2) @ (suc @ X0))
% 5.80/1.42 | (E @ (f @ X3) @ (f @ (suc @ X3)))
% 5.80/1.42 | (E @ (f @ X1) @ (f @ (suc @ X1)))
% 5.80/1.42 | (E @ (f @ X2) @ (f @ (suc @ X2)))
% 5.80/1.42 | (E @ (f @ X0) @ (f @ (suc @ X0))))),
% 5.80/1.42 inference('cnf', [status(esa)], [clause_1370])).
% 5.80/1.42 thf(zip_derived_cl95, plain,
% 5.80/1.42 (![X0 : $i, X1 : $i]:
% 5.80/1.42 ( (E @ (f @ X1) @ (f @ (suc @ X1)))
% 5.80/1.42 | (E @ (f @ X0) @ (f @ (suc @ X0)))
% 5.80/1.42 | (E @ (f @ X0) @ (f @ (suc @ X0)))
% 5.80/1.42 | (E @ (f @ X0) @ (f @ (suc @ X0)))
% 5.80/1.42 | ~ (iLEQ @ (suc @ X0) @ (suc @ X1))
% 5.80/1.42 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 5.80/1.42 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 5.80/1.42 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 5.80/1.42 | ~ (E @ 0 @ (f @ X1))
% 5.80/1.42 | ~ (E @ 0 @ (f @ X0))
% 5.80/1.42 | ~ (E @ 0 @ (f @ X0))
% 5.80/1.42 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 5.80/1.42 | ~ (E @ 0 @ (f @ X0))
% 5.80/1.42 | ~ (E @ 0 @ (f @ (suc @ X1))))),
% 5.80/1.42 inference('eq_fact', [status(thm)], [zip_derived_cl1])).
% 5.80/1.42 thf(zip_derived_cl97, plain,
% 5.80/1.42 (![X0 : $i, X1 : $i]:
% 5.80/1.42 (~ (E @ 0 @ (f @ (suc @ X1)))
% 5.80/1.42 | ~ (E @ 0 @ (f @ X0))
% 5.80/1.42 | ~ (E @ 0 @ (f @ X1))
% 5.80/1.42 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 5.80/1.42 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 5.80/1.42 | ~ (iLEQ @ (suc @ X0) @ (suc @ X1))
% 5.80/1.42 | (E @ (f @ X0) @ (f @ (suc @ X0)))
% 5.80/1.42 | (E @ (f @ X1) @ (f @ (suc @ X1))))),
% 5.80/1.42 inference('simplify', [status(thm)], [zip_derived_cl95])).
% 5.80/1.42 thf(zip_derived_cl36, plain,
% 5.80/1.42 (![X0 : $i]:
% 5.80/1.42 (~ (E @ 0 @ (f @ X0))
% 5.80/1.42 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 5.80/1.42 | (E @ (f @ X0) @ (f @ (suc @ X0)))
% 5.80/1.42 | (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 5.80/1.42 inference('cnf', [status(esa)], [clause_332])).
% 5.80/1.42 thf(zip_derived_cl947, plain,
% 5.80/1.42 (![X0 : $i, X1 : $i]:
% 5.80/1.42 ( (E @ (f @ X1) @ (f @ (suc @ X1)))
% 5.80/1.42 | (E @ (f @ X0) @ (f @ (suc @ X0)))
% 5.80/1.42 | ~ (iLEQ @ (suc @ X0) @ (suc @ X1))
% 5.80/1.42 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 5.80/1.42 | ~ (E @ 0 @ (f @ X1))
% 5.80/1.42 | ~ (E @ 0 @ (f @ X0))
% 5.80/1.42 | ~ (E @ 0 @ (f @ (suc @ X1))))),
% 5.80/1.42 inference('clc', [status(thm)], [zip_derived_cl97, zip_derived_cl36])).
% 5.80/1.42 thf(zip_derived_cl956, plain,
% 5.80/1.42 (![X0 : $i]:
% 5.80/1.42 ( (E @ (f @ X0) @ (f @ (suc @ X0)))
% 5.80/1.42 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 5.80/1.42 | ~ (E @ 0 @ (f @ X0))
% 5.80/1.42 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 5.80/1.42 | ~ (E @ 0 @ (f @ X0))
% 5.80/1.42 | ~ (E @ 0 @ (f @ X0))
% 5.80/1.42 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 5.80/1.42 | (E @ (f @ X0) @ (f @ (suc @ X0)))
% 5.80/1.42 | (E @ (f @ X0) @ (f @ (suc @ X0))))),
% 5.80/1.42 inference('sup-', [status(thm)], [zip_derived_cl36, zip_derived_cl947])).
% 5.80/1.42 thf(zip_derived_cl962, plain,
% 5.80/1.42 (![X0 : $i]:
% 5.80/1.42 (~ (E @ 0 @ (f @ X0))
% 5.80/1.42 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 5.80/1.42 | (E @ (f @ X0) @ (f @ (suc @ X0))))),
% 5.80/1.42 inference('simplify', [status(thm)], [zip_derived_cl956])).
% 5.80/1.42 thf(zip_derived_cl1017, plain,
% 5.80/1.42 (![X0 : $i]:
% 5.80/1.42 (~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 5.80/1.42 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 5.80/1.42 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 5.80/1.42 | ~ (E @ 0 @ (f @ X0)))),
% 5.80/1.42 inference('clc', [status(thm)], [zip_derived_cl1015, zip_derived_cl962])).
% 5.80/1.42 thf(clause_418, axiom,
% 5.80/1.42 (( ~( E @ 0 @ ( f @ ( suc @ ( suc @ A_3 ) ) ) ) ) |
% 5.80/1.42 ( ~( E @ 0 @ ( f @ ( suc @ A_3 ) ) ) ) |
% 5.80/1.42 ( ~( E @ ( f @ A_3 ) @ ( f @ ( suc @ A_3 ) ) ) ) |
% 5.80/1.42 ( ~( E @ 0 @ ( f @ A_3 ) ) ) | ( iLEQ @ ( suc @ A_3 ) @ ( suc @ A_3 ) ))).
% 5.80/1.42 thf(zip_derived_cl13, plain,
% 5.80/1.42 (![X0 : $i]:
% 5.80/1.42 (~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 5.80/1.42 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 5.80/1.42 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 5.80/1.42 | ~ (E @ 0 @ (f @ X0))
% 5.80/1.42 | (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 5.80/1.42 inference('cnf', [status(esa)], [clause_418])).
% 5.80/1.42 thf(zip_derived_cl36, plain,
% 5.80/1.42 (![X0 : $i]:
% 5.80/1.42 (~ (E @ 0 @ (f @ X0))
% 5.80/1.42 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 5.80/1.42 | (E @ (f @ X0) @ (f @ (suc @ X0)))
% 5.80/1.42 | (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 5.80/1.42 inference('cnf', [status(esa)], [clause_332])).
% 5.80/1.42 thf(zip_derived_cl71, plain,
% 5.80/1.42 (![X0 : $i]:
% 5.80/1.42 ( (iLEQ @ (suc @ X0) @ (suc @ X0))
% 5.80/1.42 | ~ (E @ 0 @ (f @ X0))
% 5.80/1.42 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 5.80/1.42 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0)))))),
% 5.80/1.42 inference('clc', [status(thm)], [zip_derived_cl13, zip_derived_cl36])).
% 5.80/1.42 thf(zip_derived_cl1018, plain,
% 5.80/1.42 (![X0 : $i]:
% 5.80/1.42 (~ (E @ 0 @ (f @ X0))
% 5.80/1.42 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 5.80/1.42 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0)))))),
% 5.80/1.42 inference('clc', [status(thm)], [zip_derived_cl1017, zip_derived_cl71])).
% 5.80/1.42 thf(clause_1017, axiom,
% 5.80/1.42 (( ~( E @ ( s @ ( s @ 0 ) ) @ ( f @ A_1 ) ) ) |
% 5.80/1.42 ( ~( E @ ( s @ ( s @ 0 ) ) @ ( f @ ( suc @ ( suc @ B_45 ) ) ) ) ) |
% 5.80/1.42 ( ~( E @ ( s @ ( s @ 0 ) ) @ ( f @ B_44 ) ) ) |
% 5.80/1.42 ( ~( E @ ( s @ ( s @ 0 ) ) @ ( f @ ( suc @ A_1 ) ) ) ) |
% 5.80/1.42 ( ~( iLEQ @ ( suc @ A_1 ) @ ( suc @ B_43 ) ) ) |
% 5.80/1.42 ( ~( E @ ( f @ B_44 ) @ ( f @ ( suc @ B_44 ) ) ) ) |
% 5.80/1.42 ( ~( E @ ( f @ B_43 ) @ ( f @ ( suc @ B_43 ) ) ) ) |
% 5.80/1.42 ( ~( E @ ( s @ ( s @ 0 ) ) @ ( f @ ( suc @ B_45 ) ) ) ) |
% 5.80/1.42 ( ~( iLEQ @ ( suc @ B_44 ) @ ( suc @ B_45 ) ) ) |
% 5.80/1.42 ( ~( E @ ( s @ ( s @ 0 ) ) @ ( f @ ( suc @ ( suc @ B_43 ) ) ) ) ) |
% 5.80/1.42 ( ~( E @ ( s @ ( s @ 0 ) ) @ ( f @ ( suc @ B_43 ) ) ) ) |
% 5.80/1.42 ( ~( E @ ( s @ ( s @ 0 ) ) @ ( f @ ( suc @ B_44 ) ) ) ) |
% 5.80/1.42 ( ~( E @ ( f @ A_1 ) @ ( f @ ( suc @ A_1 ) ) ) ) |
% 5.80/1.42 ( ~( iLEQ @ ( suc @ B_43 ) @ ( suc @ B_44 ) ) ) |
% 5.80/1.42 ( ~( E @ ( s @ ( s @ 0 ) ) @ ( f @ B_45 ) ) ) |
% 5.80/1.42 ( ~( E @ ( s @ ( s @ 0 ) ) @ ( f @ ( suc @ ( suc @ B_44 ) ) ) ) ) |
% 5.80/1.42 ( ~( E @ ( f @ B_45 ) @ ( f @ ( suc @ B_45 ) ) ) ) |
% 5.80/1.42 ( ~( E @ ( s @ ( s @ 0 ) ) @ ( f @ B_43 ) ) ) |
% 5.80/1.42 ( ~( E @ ( s @ ( s @ 0 ) ) @ ( f @ ( suc @ ( suc @ A_1 ) ) ) ) ))).
% 5.80/1.42 thf(zip_derived_cl38, plain,
% 5.80/1.42 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 5.80/1.42 (~ (E @ (s @ (s @ 0)) @ (f @ X0))
% 5.80/1.42 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ X1))))
% 5.80/1.42 | ~ (E @ (s @ (s @ 0)) @ (f @ X2))
% 5.80/1.42 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 5.80/1.42 | ~ (iLEQ @ (suc @ X0) @ (suc @ X3))
% 5.80/1.42 | ~ (E @ (f @ X2) @ (f @ (suc @ X2)))
% 5.80/1.42 | ~ (E @ (f @ X3) @ (f @ (suc @ X3)))
% 5.80/1.42 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X1)))
% 5.80/1.42 | ~ (iLEQ @ (suc @ X2) @ (suc @ X1))
% 5.80/1.42 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ X3))))
% 5.80/1.42 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X3)))
% 5.80/1.42 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X2)))
% 5.80/1.42 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 5.80/1.42 | ~ (iLEQ @ (suc @ X3) @ (suc @ X2))
% 5.80/1.42 | ~ (E @ (s @ (s @ 0)) @ (f @ X1))
% 5.80/1.42 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ X2))))
% 5.80/1.42 | ~ (E @ (f @ X1) @ (f @ (suc @ X1)))
% 5.80/1.42 | ~ (E @ (s @ (s @ 0)) @ (f @ X3))
% 5.80/1.42 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ X0)))))),
% 5.80/1.42 inference('cnf', [status(esa)], [clause_1017])).
% 5.80/1.42 thf(zip_derived_cl851, plain,
% 5.80/1.42 (![X0 : $i, X1 : $i]:
% 5.80/1.42 (~ (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ X1))))
% 5.80/1.42 | ~ (E @ (s @ (s @ 0)) @ (f @ X0))
% 5.80/1.42 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 5.80/1.42 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ X1))))
% 5.80/1.42 | ~ (E @ (s @ (s @ 0)) @ (f @ X0))
% 5.80/1.42 | ~ (iLEQ @ (suc @ X0) @ (suc @ X1))
% 5.80/1.42 | ~ (E @ (f @ X1) @ (f @ (suc @ X1)))
% 5.80/1.42 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X1)))
% 5.80/1.42 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 5.80/1.42 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ X0))))
% 5.80/1.42 | ~ (iLEQ @ (suc @ X1) @ (suc @ X0))
% 5.80/1.42 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 5.80/1.42 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 5.80/1.42 | ~ (E @ (f @ X1) @ (f @ (suc @ X1)))
% 5.80/1.42 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X1)))
% 5.80/1.42 | ~ (E @ (s @ (s @ 0)) @ (f @ X1))
% 5.80/1.42 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ X0))))
% 5.80/1.42 | ~ (E @ (s @ (s @ 0)) @ (f @ X1)))),
% 5.80/1.42 inference('eq_fact', [status(thm)], [zip_derived_cl38])).
% 5.80/1.42 thf(zip_derived_cl853, plain,
% 5.80/1.42 (![X0 : $i, X1 : $i]:
% 5.80/1.42 (~ (E @ (s @ (s @ 0)) @ (f @ X1))
% 5.80/1.42 | ~ (iLEQ @ (suc @ X1) @ (suc @ X0))
% 5.80/1.42 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ X0))))
% 5.80/1.42 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 5.80/1.42 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X1)))
% 5.80/1.42 | ~ (E @ (f @ X1) @ (f @ (suc @ X1)))
% 5.80/1.42 | ~ (iLEQ @ (suc @ X0) @ (suc @ X1))
% 5.80/1.42 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 5.80/1.42 | ~ (E @ (s @ (s @ 0)) @ (f @ X0))
% 5.80/1.42 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ X1)))))),
% 5.80/1.42 inference('simplify', [status(thm)], [zip_derived_cl851])).
% 5.80/1.42 thf(zip_derived_cl1100, plain,
% 5.80/1.42 (![X0 : $i]:
% 5.80/1.42 (~ (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ X0))))
% 5.80/1.42 | ~ (E @ (s @ (s @ 0)) @ (f @ X0))
% 5.80/1.42 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 5.80/1.42 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 5.80/1.42 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 5.80/1.42 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 5.80/1.42 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 5.80/1.42 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ X0))))
% 5.80/1.42 | ~ (E @ (s @ (s @ 0)) @ (f @ X0)))),
% 5.80/1.42 inference('eq_fact', [status(thm)], [zip_derived_cl853])).
% 5.80/1.42 thf(zip_derived_cl1101, plain,
% 5.80/1.42 (![X0 : $i]:
% 5.80/1.42 (~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 5.80/1.42 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 5.80/1.42 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 5.80/1.42 | ~ (E @ (s @ (s @ 0)) @ (f @ X0))
% 5.80/1.42 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ X0)))))),
% 5.80/1.42 inference('simplify', [status(thm)], [zip_derived_cl1100])).
% 5.80/1.42 thf(clause_345, axiom,
% 5.80/1.42 (( ~( E @ ( s @ ( s @ 0 ) ) @ ( f @ ( suc @ ( suc @ A_1 ) ) ) ) ) |
% 5.80/1.42 ( ~( E @ ( s @ ( s @ 0 ) ) @ ( f @ ( suc @ A_1 ) ) ) ) |
% 5.80/1.42 ( ~( E @ ( f @ A_1 ) @ ( f @ ( suc @ A_1 ) ) ) ) |
% 5.80/1.42 ( ~( E @ ( s @ ( s @ 0 ) ) @ ( f @ A_1 ) ) ) |
% 5.80/1.42 ( iLEQ @ ( suc @ A_1 ) @ ( suc @ A_1 ) ))).
% 5.80/1.42 thf(zip_derived_cl6, plain,
% 5.80/1.42 (![X0 : $i]:
% 5.80/1.42 (~ (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ X0))))
% 5.80/1.42 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 5.80/1.42 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 5.80/1.42 | ~ (E @ (s @ (s @ 0)) @ (f @ X0))
% 5.80/1.42 | (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 5.80/1.42 inference('cnf', [status(esa)], [clause_345])).
% 5.80/1.42 thf(clause_120, axiom,
% 5.80/1.42 (( ~( E @ ( s @ ( s @ 0 ) ) @ ( f @ A_1 ) ) ) |
% 5.80/1.42 ( ~( E @ ( s @ ( s @ 0 ) ) @ ( f @ ( suc @ A_1 ) ) ) ) |
% 5.80/1.42 ( E @ ( f @ A_1 ) @ ( f @ ( suc @ A_1 ) ) ) |
% 5.80/1.42 ( iLEQ @ ( suc @ A_1 ) @ ( suc @ A_1 ) ))).
% 5.80/1.42 thf(zip_derived_cl30, plain,
% 5.80/1.42 (![X0 : $i]:
% 5.80/1.42 (~ (E @ (s @ (s @ 0)) @ (f @ X0))
% 5.80/1.42 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 5.80/1.42 | (E @ (f @ X0) @ (f @ (suc @ X0)))
% 5.80/1.42 | (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 5.80/1.42 inference('cnf', [status(esa)], [clause_120])).
% 5.80/1.42 thf(zip_derived_cl156, plain,
% 5.80/1.42 (![X0 : $i]:
% 5.80/1.42 ( (iLEQ @ (suc @ X0) @ (suc @ X0))
% 5.80/1.42 | ~ (E @ (s @ (s @ 0)) @ (f @ X0))
% 5.80/1.42 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 5.80/1.42 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ X0)))))),
% 5.80/1.42 inference('clc', [status(thm)], [zip_derived_cl6, zip_derived_cl30])).
% 5.80/1.42 thf(zip_derived_cl1103, plain,
% 5.80/1.42 (![X0 : $i]:
% 5.80/1.42 (~ (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ X0))))
% 5.80/1.42 | ~ (E @ (s @ (s @ 0)) @ (f @ X0))
% 5.80/1.42 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 5.80/1.42 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0))))),
% 5.80/1.42 inference('clc', [status(thm)], [zip_derived_cl1101, zip_derived_cl156])).
% 5.80/1.42 thf(clause_1106, axiom,
% 5.80/1.42 (( ~( E @ ( s @ ( s @ 0 ) ) @ ( f @ A_1 ) ) ) |
% 5.80/1.42 ( ~( E @ ( s @ ( s @ 0 ) ) @ ( f @ B_44 ) ) ) |
% 5.80/1.42 ( ~( E @ ( s @ ( s @ 0 ) ) @ ( f @ ( suc @ A_1 ) ) ) ) |
% 5.80/1.42 ( ~( iLEQ @ ( suc @ A_1 ) @ ( suc @ B_43 ) ) ) |
% 5.80/1.42 ( ~( E @ ( s @ ( s @ 0 ) ) @ ( f @ ( suc @ B_45 ) ) ) ) |
% 5.80/1.42 ( ~( iLEQ @ ( suc @ B_44 ) @ ( suc @ B_45 ) ) ) |
% 5.80/1.42 ( ~( E @ ( s @ ( s @ 0 ) ) @ ( f @ ( suc @ B_43 ) ) ) ) |
% 5.80/1.42 ( ~( E @ ( s @ ( s @ 0 ) ) @ ( f @ ( suc @ B_44 ) ) ) ) |
% 5.80/1.42 ( ~( iLEQ @ ( suc @ B_43 ) @ ( suc @ B_44 ) ) ) |
% 5.80/1.42 ( ~( E @ ( s @ ( s @ 0 ) ) @ ( f @ B_45 ) ) ) |
% 5.80/1.42 ( ~( E @ ( s @ ( s @ 0 ) ) @ ( f @ B_43 ) ) ) |
% 5.80/1.42 ( E @ ( f @ A_1 ) @ ( f @ ( suc @ A_1 ) ) ) |
% 5.80/1.42 ( E @ ( f @ B_43 ) @ ( f @ ( suc @ B_43 ) ) ) |
% 5.80/1.42 ( E @ ( f @ B_44 ) @ ( f @ ( suc @ B_44 ) ) ) |
% 5.80/1.42 ( E @ ( f @ B_45 ) @ ( f @ ( suc @ B_45 ) ) ))).
% 5.80/1.42 thf(zip_derived_cl51, plain,
% 5.80/1.42 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 5.80/1.42 (~ (E @ (s @ (s @ 0)) @ (f @ X0))
% 5.80/1.42 | ~ (E @ (s @ (s @ 0)) @ (f @ X1))
% 5.80/1.42 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 5.80/1.42 | ~ (iLEQ @ (suc @ X0) @ (suc @ X2))
% 5.80/1.42 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X3)))
% 5.80/1.42 | ~ (iLEQ @ (suc @ X1) @ (suc @ X3))
% 5.80/1.42 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X2)))
% 5.80/1.42 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X1)))
% 5.80/1.42 | ~ (iLEQ @ (suc @ X2) @ (suc @ X1))
% 5.80/1.42 | ~ (E @ (s @ (s @ 0)) @ (f @ X3))
% 5.80/1.42 | ~ (E @ (s @ (s @ 0)) @ (f @ X2))
% 5.80/1.42 | (E @ (f @ X0) @ (f @ (suc @ X0)))
% 5.80/1.42 | (E @ (f @ X2) @ (f @ (suc @ X2)))
% 5.80/1.42 | (E @ (f @ X1) @ (f @ (suc @ X1)))
% 5.80/1.42 | (E @ (f @ X3) @ (f @ (suc @ X3))))),
% 5.80/1.42 inference('cnf', [status(esa)], [clause_1106])).
% 5.80/1.42 thf(zip_derived_cl631, plain,
% 5.80/1.42 (![X0 : $i, X1 : $i]:
% 5.80/1.42 ( (E @ (f @ X0) @ (f @ (suc @ X0)))
% 5.80/1.42 | (E @ (f @ X1) @ (f @ (suc @ X1)))
% 5.80/1.42 | (E @ (f @ X0) @ (f @ (suc @ X0)))
% 5.80/1.42 | (E @ (f @ X1) @ (f @ (suc @ X1)))
% 5.80/1.42 | ~ (E @ (s @ (s @ 0)) @ (f @ X0))
% 5.80/1.42 | ~ (E @ (s @ (s @ 0)) @ (f @ X0))
% 5.80/1.42 | ~ (iLEQ @ (suc @ X0) @ (suc @ X1))
% 5.80/1.42 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X1)))
% 5.80/1.42 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 5.80/1.42 | ~ (iLEQ @ (suc @ X1) @ (suc @ X0))
% 5.80/1.42 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 5.80/1.42 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X1)))
% 5.80/1.42 | ~ (E @ (s @ (s @ 0)) @ (f @ X1))
% 5.80/1.42 | ~ (E @ (s @ (s @ 0)) @ (f @ X1)))),
% 5.80/1.42 inference('eq_fact', [status(thm)], [zip_derived_cl51])).
% 5.80/1.42 thf(zip_derived_cl633, plain,
% 5.80/1.42 (![X0 : $i, X1 : $i]:
% 5.80/1.42 (~ (E @ (s @ (s @ 0)) @ (f @ X1))
% 5.80/1.42 | ~ (iLEQ @ (suc @ X1) @ (suc @ X0))
% 5.80/1.42 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 5.80/1.42 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X1)))
% 5.80/1.42 | ~ (iLEQ @ (suc @ X0) @ (suc @ X1))
% 5.80/1.42 | ~ (E @ (s @ (s @ 0)) @ (f @ X0))
% 5.80/1.42 | (E @ (f @ X1) @ (f @ (suc @ X1)))
% 5.80/1.42 | (E @ (f @ X0) @ (f @ (suc @ X0))))),
% 5.80/1.42 inference('simplify', [status(thm)], [zip_derived_cl631])).
% 5.80/1.42 thf(zip_derived_cl1078, plain,
% 5.80/1.42 (![X0 : $i]:
% 5.80/1.42 ( (E @ (f @ X0) @ (f @ (suc @ X0)))
% 5.80/1.42 | (E @ (f @ X0) @ (f @ (suc @ X0)))
% 5.80/1.42 | ~ (E @ (s @ (s @ 0)) @ (f @ X0))
% 5.80/1.42 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 5.80/1.42 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 5.80/1.42 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 5.80/1.42 | ~ (E @ (s @ (s @ 0)) @ (f @ X0)))),
% 5.80/1.42 inference('eq_fact', [status(thm)], [zip_derived_cl633])).
% 5.80/1.42 thf(zip_derived_cl1079, plain,
% 5.80/1.42 (![X0 : $i]:
% 5.80/1.42 (~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 5.80/1.42 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 5.80/1.42 | ~ (E @ (s @ (s @ 0)) @ (f @ X0))
% 5.80/1.42 | (E @ (f @ X0) @ (f @ (suc @ X0))))),
% 5.80/1.42 inference('simplify', [status(thm)], [zip_derived_cl1078])).
% 5.80/1.42 thf(zip_derived_cl30, plain,
% 5.80/1.42 (![X0 : $i]:
% 5.80/1.42 (~ (E @ (s @ (s @ 0)) @ (f @ X0))
% 5.80/1.42 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 5.80/1.42 | (E @ (f @ X0) @ (f @ (suc @ X0)))
% 5.80/1.42 | (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 5.80/1.42 inference('cnf', [status(esa)], [clause_120])).
% 5.80/1.42 thf(zip_derived_cl1082, plain,
% 5.80/1.42 (![X0 : $i]:
% 5.80/1.42 ( (E @ (f @ X0) @ (f @ (suc @ X0)))
% 5.80/1.42 | ~ (E @ (s @ (s @ 0)) @ (f @ X0))
% 5.80/1.42 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0))))),
% 5.80/1.42 inference('clc', [status(thm)], [zip_derived_cl1079, zip_derived_cl30])).
% 5.80/1.42 thf(zip_derived_cl1104, plain,
% 5.80/1.42 (![X0 : $i]:
% 5.80/1.42 (~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 5.80/1.42 | ~ (E @ (s @ (s @ 0)) @ (f @ X0))
% 5.80/1.42 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ X0)))))),
% 5.80/1.42 inference('clc', [status(thm)], [zip_derived_cl1103, zip_derived_cl1082])).
% 5.80/1.42 thf(clause_1261, axiom,
% 5.80/1.42 (( ~( LE @ ( f @ ( suc @ ( suc @ B_42 ) ) ) @ ( s @ ( s @ ( s @ 0 ) ) ) ) ) |
% 5.80/1.42 ( E @ ( s @ ( s @ 0 ) ) @ ( f @ ( suc @ ( suc @ B_42 ) ) ) ) |
% 5.80/1.42 ( LE @ ( f @ B_42 ) @ ( s @ ( s @ 0 ) ) ))).
% 5.80/1.42 thf(zip_derived_cl63, plain,
% 5.80/1.42 (![X0 : $i]:
% 5.80/1.42 (~ (LE @ (f @ (suc @ (suc @ X0))) @ (s @ (s @ (s @ 0))))
% 5.80/1.42 | (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ X0))))
% 5.80/1.42 | (LE @ (f @ X0) @ (s @ (s @ 0))))),
% 5.80/1.42 inference('cnf', [status(esa)], [clause_1261])).
% 5.80/1.42 thf(clause_1497, axiom, (LE @ ( f @ A ) @ ( s @ ( s @ ( s @ 0 ) ) ))).
% 5.80/1.42 thf(zip_derived_cl5, plain,
% 5.80/1.42 (![X0 : $i]: (LE @ (f @ X0) @ (s @ (s @ (s @ 0))))),
% 5.80/1.42 inference('cnf', [status(esa)], [clause_1497])).
% 5.80/1.42 thf(zip_derived_cl123, plain,
% 5.80/1.42 (![X0 : $i]:
% 5.80/1.42 ( (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ X0))))
% 5.80/1.42 | (LE @ (f @ X0) @ (s @ (s @ 0))))),
% 5.80/1.42 inference('demod', [status(thm)], [zip_derived_cl63, zip_derived_cl5])).
% 5.80/1.42 thf(clause_1472, axiom,
% 5.80/1.42 (( ~( LE @ ( f @ ( suc @ ( suc @ B_67 ) ) ) @ ( s @ ( s @ 0 ) ) ) ) |
% 5.80/1.42 ( E @ ( s @ 0 ) @ ( f @ ( suc @ ( suc @ B_67 ) ) ) ) |
% 5.80/1.42 ( LE @ ( f @ B_67 ) @ ( s @ 0 ) ))).
% 5.80/1.42 thf(zip_derived_cl20, plain,
% 5.80/1.42 (![X0 : $i]:
% 5.80/1.42 (~ (LE @ (f @ (suc @ (suc @ X0))) @ (s @ (s @ 0)))
% 5.80/1.42 | (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 5.80/1.42 | (LE @ (f @ X0) @ (s @ 0)))),
% 5.80/1.42 inference('cnf', [status(esa)], [clause_1472])).
% 5.80/1.42 thf(zip_derived_cl125, plain,
% 5.80/1.42 (![X0 : $i]:
% 5.80/1.42 ( (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ (suc @ (suc @ X0))))))
% 5.80/1.42 | (LE @ (f @ X0) @ (s @ 0))
% 5.80/1.42 | (E @ (s @ 0) @ (f @ (suc @ (suc @ X0)))))),
% 5.80/1.42 inference('sup-', [status(thm)], [zip_derived_cl123, zip_derived_cl20])).
% 5.80/1.42 thf(clause_225, axiom,
% 5.80/1.42 (( ~( LE @ ( f @ ( suc @ ( suc @ B_79 ) ) ) @ ( s @ 0 ) ) ) |
% 5.80/1.42 ( E @ 0 @ ( f @ ( suc @ ( suc @ B_79 ) ) ) ) | ( LE @ ( f @ B_79 ) @ 0 ))).
% 5.80/1.42 thf(zip_derived_cl21, plain,
% 5.80/1.42 (![X0 : $i]:
% 5.80/1.42 (~ (LE @ (f @ (suc @ (suc @ X0))) @ (s @ 0))
% 5.80/1.42 | (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 5.80/1.42 | (LE @ (f @ X0) @ 0))),
% 5.80/1.42 inference('cnf', [status(esa)], [clause_225])).
% 5.80/1.42 thf(zip_derived_cl642, plain,
% 5.80/1.42 (![X0 : $i]:
% 5.80/1.42 ( (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ (suc @ X0))))))
% 5.80/1.42 | (E @ (s @ (s @ 0)) @
% 5.80/1.42 (f @ (suc @ (suc @ (suc @ (suc @ (suc @ (suc @ X0))))))))
% 5.80/1.42 | (LE @ (f @ X0) @ 0)
% 5.80/1.42 | (E @ 0 @ (f @ (suc @ (suc @ X0)))))),
% 5.80/1.42 inference('sup-', [status(thm)], [zip_derived_cl125, zip_derived_cl21])).
% 5.80/1.42 thf(clause_709, axiom, (~( LE @ ( f @ z ) @ 0 ))).
% 5.80/1.42 thf(zip_derived_cl25, plain, (~ (LE @ (f @ z) @ 0)),
% 5.80/1.42 inference('cnf', [status(esa)], [clause_709])).
% 5.80/1.42 thf(zip_derived_cl1097, plain,
% 5.80/1.42 (( (E @ 0 @ (f @ (suc @ (suc @ z))))
% 5.80/1.42 | (E @ (s @ (s @ 0)) @
% 5.80/1.42 (f @ (suc @ (suc @ (suc @ (suc @ (suc @ (suc @ z))))))))
% 5.80/1.42 | (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ (suc @ z)))))))),
% 5.80/1.42 inference('sup-', [status(thm)], [zip_derived_cl642, zip_derived_cl25])).
% 5.80/1.42 thf(zip_derived_cl1127, plain,
% 5.80/1.42 ((~ (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ (suc @ (suc @ z))))))
% 5.80/1.42 | ~ (E @ (s @ (s @ 0)) @
% 5.80/1.42 (f @ (suc @ (suc @ (suc @ (suc @ (suc @ z)))))))
% 5.80/1.42 | (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ (suc @ z))))))
% 5.80/1.42 | (E @ 0 @ (f @ (suc @ (suc @ z)))))),
% 5.80/1.42 inference('sup+', [status(thm)], [zip_derived_cl1104, zip_derived_cl1097])).
% 5.80/1.42 thf(zip_derived_cl20, plain,
% 5.80/1.42 (![X0 : $i]:
% 5.80/1.42 (~ (LE @ (f @ (suc @ (suc @ X0))) @ (s @ (s @ 0)))
% 5.80/1.42 | (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 5.80/1.42 | (LE @ (f @ X0) @ (s @ 0)))),
% 5.80/1.42 inference('cnf', [status(esa)], [clause_1472])).
% 5.80/1.42 thf(clause_1442, axiom,
% 5.80/1.42 (( ~( LE @ ( f @ B_42 ) @ ( s @ ( s @ ( s @ 0 ) ) ) ) ) |
% 5.80/1.42 ( E @ ( s @ ( s @ 0 ) ) @ ( f @ B_42 ) ) |
% 5.80/1.42 ( LE @ ( f @ B_42 ) @ ( s @ ( s @ 0 ) ) ))).
% 5.80/1.42 thf(zip_derived_cl49, plain,
% 5.80/1.42 (![X0 : $i]:
% 5.80/1.42 (~ (LE @ (f @ X0) @ (s @ (s @ (s @ 0))))
% 5.80/1.42 | (E @ (s @ (s @ 0)) @ (f @ X0))
% 5.80/1.42 | (LE @ (f @ X0) @ (s @ (s @ 0))))),
% 5.80/1.42 inference('cnf', [status(esa)], [clause_1442])).
% 5.80/1.42 thf(zip_derived_cl5, plain,
% 5.80/1.42 (![X0 : $i]: (LE @ (f @ X0) @ (s @ (s @ (s @ 0))))),
% 5.80/1.42 inference('cnf', [status(esa)], [clause_1497])).
% 5.80/1.42 thf(zip_derived_cl74, plain,
% 5.80/1.42 (![X0 : $i]:
% 5.80/1.42 ( (E @ (s @ (s @ 0)) @ (f @ X0)) | (LE @ (f @ X0) @ (s @ (s @ 0))))),
% 5.80/1.42 inference('demod', [status(thm)], [zip_derived_cl49, zip_derived_cl5])).
% 5.80/1.42 thf(zip_derived_cl79, plain,
% 5.80/1.42 (![X0 : $i]:
% 5.80/1.42 ( (LE @ (f @ X0) @ (s @ 0))
% 5.80/1.42 | (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 5.80/1.42 | (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ X0)))))),
% 5.80/1.42 inference('sup+', [status(thm)], [zip_derived_cl20, zip_derived_cl74])).
% 5.80/1.42 thf(zip_derived_cl21, plain,
% 5.80/1.42 (![X0 : $i]:
% 5.80/1.42 (~ (LE @ (f @ (suc @ (suc @ X0))) @ (s @ 0))
% 5.80/1.42 | (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 5.80/1.42 | (LE @ (f @ X0) @ 0))),
% 5.80/1.42 inference('cnf', [status(esa)], [clause_225])).
% 5.80/1.42 thf(zip_derived_cl250, plain,
% 5.80/1.42 (![X0 : $i]:
% 5.80/1.42 ( (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ (suc @ (suc @ X0))))))
% 5.80/1.42 | (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ (suc @ X0))))))
% 5.80/1.42 | (LE @ (f @ X0) @ 0)
% 5.80/1.42 | (E @ 0 @ (f @ (suc @ (suc @ X0)))))),
% 5.80/1.42 inference('sup-', [status(thm)], [zip_derived_cl79, zip_derived_cl21])).
% 5.80/1.42 thf(zip_derived_cl25, plain, (~ (LE @ (f @ z) @ 0)),
% 5.80/1.42 inference('cnf', [status(esa)], [clause_709])).
% 5.80/1.42 thf(zip_derived_cl1086, plain,
% 5.80/1.42 (( (E @ 0 @ (f @ (suc @ (suc @ z))))
% 5.80/1.42 | (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ (suc @ z))))))
% 5.80/1.42 | (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ (suc @ (suc @ z)))))))),
% 5.80/1.42 inference('sup-', [status(thm)], [zip_derived_cl250, zip_derived_cl25])).
% 5.80/1.42 thf(zip_derived_cl1249, plain,
% 5.80/1.42 (( (E @ 0 @ (f @ (suc @ (suc @ z))))
% 5.80/1.42 | (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ (suc @ z))))))
% 5.80/1.42 | ~ (E @ (s @ (s @ 0)) @
% 5.80/1.42 (f @ (suc @ (suc @ (suc @ (suc @ (suc @ z))))))))),
% 5.80/1.42 inference('clc', [status(thm)], [zip_derived_cl1127, zip_derived_cl1086])).
% 5.80/1.42 thf(clause_1439, axiom,
% 5.80/1.42 (( ~( LE @ ( f @ ( suc @ B_42 ) ) @ ( s @ ( s @ ( s @ 0 ) ) ) ) ) |
% 5.80/1.42 ( E @ ( s @ ( s @ 0 ) ) @ ( f @ ( suc @ B_42 ) ) ) |
% 5.80/1.42 ( LE @ ( f @ B_42 ) @ ( s @ ( s @ 0 ) ) ))).
% 5.80/1.42 thf(zip_derived_cl37, plain,
% 5.80/1.42 (![X0 : $i]:
% 5.80/1.42 (~ (LE @ (f @ (suc @ X0)) @ (s @ (s @ (s @ 0))))
% 5.80/1.42 | (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 5.80/1.42 | (LE @ (f @ X0) @ (s @ (s @ 0))))),
% 5.80/1.42 inference('cnf', [status(esa)], [clause_1439])).
% 5.80/1.42 thf(zip_derived_cl5, plain,
% 5.80/1.42 (![X0 : $i]: (LE @ (f @ X0) @ (s @ (s @ (s @ 0))))),
% 5.80/1.42 inference('cnf', [status(esa)], [clause_1497])).
% 5.80/1.42 thf(zip_derived_cl112, plain,
% 5.80/1.42 (![X0 : $i]:
% 5.80/1.42 ( (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 5.80/1.42 | (LE @ (f @ X0) @ (s @ (s @ 0))))),
% 5.80/1.42 inference('demod', [status(thm)], [zip_derived_cl37, zip_derived_cl5])).
% 5.80/1.42 thf(zip_derived_cl20, plain,
% 5.80/1.42 (![X0 : $i]:
% 5.80/1.42 (~ (LE @ (f @ (suc @ (suc @ X0))) @ (s @ (s @ 0)))
% 5.80/1.42 | (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 5.80/1.42 | (LE @ (f @ X0) @ (s @ 0)))),
% 5.80/1.42 inference('cnf', [status(esa)], [clause_1472])).
% 5.80/1.42 thf(zip_derived_cl114, plain,
% 5.80/1.42 (![X0 : $i]:
% 5.80/1.42 ( (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 5.80/1.42 | (LE @ (f @ X0) @ (s @ 0))
% 5.80/1.42 | (E @ (s @ 0) @ (f @ (suc @ (suc @ X0)))))),
% 5.80/1.42 inference('sup-', [status(thm)], [zip_derived_cl112, zip_derived_cl20])).
% 5.80/1.42 thf(zip_derived_cl21, plain,
% 5.80/1.42 (![X0 : $i]:
% 5.80/1.42 (~ (LE @ (f @ (suc @ (suc @ X0))) @ (s @ 0))
% 5.80/1.42 | (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 5.80/1.42 | (LE @ (f @ X0) @ 0))),
% 5.80/1.42 inference('cnf', [status(esa)], [clause_225])).
% 5.80/1.42 thf(zip_derived_cl440, plain,
% 5.80/1.42 (![X0 : $i]:
% 5.80/1.42 ( (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ (suc @ X0))))))
% 5.80/1.42 | (E @ (s @ (s @ 0)) @
% 5.80/1.42 (f @ (suc @ (suc @ (suc @ (suc @ (suc @ X0)))))))
% 5.80/1.42 | (LE @ (f @ X0) @ 0)
% 5.80/1.42 | (E @ 0 @ (f @ (suc @ (suc @ X0)))))),
% 5.80/1.42 inference('sup-', [status(thm)], [zip_derived_cl114, zip_derived_cl21])).
% 5.80/1.42 thf(zip_derived_cl25, plain, (~ (LE @ (f @ z) @ 0)),
% 5.80/1.42 inference('cnf', [status(esa)], [clause_709])).
% 5.80/1.42 thf(zip_derived_cl1095, plain,
% 5.80/1.42 (( (E @ 0 @ (f @ (suc @ (suc @ z))))
% 5.80/1.42 | (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ (suc @ (suc @ (suc @ z)))))))
% 5.80/1.42 | (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ (suc @ z)))))))),
% 5.80/1.42 inference('sup-', [status(thm)], [zip_derived_cl440, zip_derived_cl25])).
% 5.80/1.42 thf(zip_derived_cl1250, plain,
% 5.80/1.42 (( (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ (suc @ z))))))
% 5.80/1.42 | (E @ 0 @ (f @ (suc @ (suc @ z)))))),
% 5.80/1.42 inference('clc', [status(thm)], [zip_derived_cl1249, zip_derived_cl1095])).
% 5.80/1.42 thf(clause_1132, axiom,
% 5.80/1.42 (( ~( E @ ( s @ 0 ) @ ( f @ B_69 ) ) ) |
% 5.80/1.42 ( ~( E @ ( s @ 0 ) @ ( f @ B_68 ) ) ) |
% 5.80/1.42 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ ( suc @ B_69 ) ) ) ) ) |
% 5.80/1.42 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ A_2 ) ) ) ) |
% 5.80/1.42 ( ~( E @ ( f @ B_69 ) @ ( f @ ( suc @ B_69 ) ) ) ) |
% 5.80/1.42 ( ~( iLEQ @ ( suc @ B_69 ) @ ( suc @ B_70 ) ) ) |
% 5.80/1.42 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ B_69 ) ) ) ) |
% 5.80/1.42 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ ( suc @ B_68 ) ) ) ) ) |
% 5.80/1.42 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ ( suc @ B_70 ) ) ) ) ) |
% 5.80/1.42 ( ~( E @ ( f @ B_70 ) @ ( f @ ( suc @ B_70 ) ) ) ) |
% 5.80/1.42 ( ~( iLEQ @ ( suc @ A_2 ) @ ( suc @ B_68 ) ) ) |
% 5.80/1.42 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ B_70 ) ) ) ) |
% 5.80/1.42 ( ~( E @ ( f @ B_68 ) @ ( f @ ( suc @ B_68 ) ) ) ) |
% 5.80/1.42 ( ~( iLEQ @ ( suc @ B_68 ) @ ( suc @ B_69 ) ) ) |
% 5.80/1.42 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ ( suc @ A_2 ) ) ) ) ) |
% 5.80/1.42 ( ~( E @ ( s @ 0 ) @ ( f @ B_70 ) ) ) |
% 5.80/1.42 ( ~( E @ ( f @ A_2 ) @ ( f @ ( suc @ A_2 ) ) ) ) |
% 5.80/1.42 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ B_68 ) ) ) ) |
% 5.80/1.42 ( ~( E @ ( s @ 0 ) @ ( f @ A_2 ) ) ))).
% 5.80/1.42 thf(zip_derived_cl59, plain,
% 5.80/1.42 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 5.80/1.42 (~ (E @ (s @ 0) @ (f @ X0))
% 5.80/1.42 | ~ (E @ (s @ 0) @ (f @ X1))
% 5.80/1.42 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 5.80/1.42 | ~ (E @ (s @ 0) @ (f @ (suc @ X2)))
% 5.80/1.42 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 5.80/1.42 | ~ (iLEQ @ (suc @ X0) @ (suc @ X3))
% 5.80/1.42 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 5.80/1.42 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X1))))
% 5.80/1.42 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X3))))
% 5.80/1.42 | ~ (E @ (f @ X3) @ (f @ (suc @ X3)))
% 5.80/1.42 | ~ (iLEQ @ (suc @ X2) @ (suc @ X1))
% 5.80/1.42 | ~ (E @ (s @ 0) @ (f @ (suc @ X3)))
% 5.80/1.42 | ~ (E @ (f @ X1) @ (f @ (suc @ X1)))
% 5.80/1.42 | ~ (iLEQ @ (suc @ X1) @ (suc @ X0))
% 5.80/1.42 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X2))))
% 5.80/1.42 | ~ (E @ (s @ 0) @ (f @ X3))
% 5.80/1.42 | ~ (E @ (f @ X2) @ (f @ (suc @ X2)))
% 5.80/1.42 | ~ (E @ (s @ 0) @ (f @ (suc @ X1)))
% 5.80/1.42 | ~ (E @ (s @ 0) @ (f @ X2)))),
% 5.80/1.42 inference('cnf', [status(esa)], [clause_1132])).
% 5.80/1.42 thf(zip_derived_cl769, plain,
% 5.80/1.42 (![X0 : $i, X1 : $i]:
% 5.80/1.42 (~ (E @ (s @ 0) @ (f @ X1))
% 5.80/1.42 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 5.80/1.42 | ~ (E @ (f @ X1) @ (f @ (suc @ X1)))
% 5.80/1.42 | ~ (E @ (s @ 0) @ (f @ X0))
% 5.80/1.42 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X1))))
% 5.80/1.42 | ~ (iLEQ @ (suc @ X0) @ (suc @ X1))
% 5.80/1.42 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 5.80/1.42 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 5.80/1.42 | ~ (iLEQ @ (suc @ X1) @ (suc @ X0))
% 5.80/1.42 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 5.80/1.42 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 5.80/1.42 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 5.80/1.42 | ~ (E @ (s @ 0) @ (f @ (suc @ X1)))
% 5.80/1.42 | ~ (E @ (f @ X1) @ (f @ (suc @ X1)))
% 5.80/1.42 | ~ (E @ (s @ 0) @ (f @ (suc @ X1)))
% 5.80/1.42 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X1))))
% 5.80/1.42 | ~ (E @ (s @ 0) @ (f @ X0))
% 5.80/1.42 | ~ (E @ (s @ 0) @ (f @ X1)))),
% 5.80/1.42 inference('eq_fact', [status(thm)], [zip_derived_cl59])).
% 5.80/1.42 thf(zip_derived_cl771, plain,
% 5.80/1.42 (![X0 : $i, X1 : $i]:
% 5.80/1.42 (~ (E @ (s @ 0) @ (f @ (suc @ X1)))
% 5.80/1.42 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 5.80/1.42 | ~ (iLEQ @ (suc @ X1) @ (suc @ X0))
% 5.80/1.42 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 5.80/1.42 | ~ (iLEQ @ (suc @ X0) @ (suc @ X1))
% 5.80/1.42 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X1))))
% 5.80/1.42 | ~ (E @ (s @ 0) @ (f @ X0))
% 5.80/1.42 | ~ (E @ (f @ X1) @ (f @ (suc @ X1)))
% 5.80/1.42 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 5.80/1.42 | ~ (E @ (s @ 0) @ (f @ X1)))),
% 5.80/1.42 inference('simplify', [status(thm)], [zip_derived_cl769])).
% 5.80/1.42 thf(zip_derived_cl1060, plain,
% 5.80/1.42 (![X0 : $i]:
% 5.80/1.42 (~ (E @ (s @ 0) @ (f @ X0))
% 5.80/1.42 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 5.80/1.42 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 5.80/1.42 | ~ (E @ (s @ 0) @ (f @ X0))
% 5.80/1.42 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 5.80/1.42 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 5.80/1.42 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 5.80/1.42 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 5.80/1.42 | ~ (E @ (s @ 0) @ (f @ (suc @ X0))))),
% 5.80/1.42 inference('eq_fact', [status(thm)], [zip_derived_cl771])).
% 5.80/1.42 thf(zip_derived_cl1061, plain,
% 5.80/1.42 (![X0 : $i]:
% 5.80/1.42 (~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 5.80/1.42 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 5.80/1.42 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 5.80/1.42 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 5.80/1.42 | ~ (E @ (s @ 0) @ (f @ X0)))),
% 5.80/1.42 inference('simplify', [status(thm)], [zip_derived_cl1060])).
% 5.80/1.42 thf(clause_165, axiom,
% 5.80/1.42 (( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ ( suc @ A_2 ) ) ) ) ) |
% 5.80/1.42 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ A_2 ) ) ) ) |
% 5.80/1.42 ( ~( E @ ( f @ A_2 ) @ ( f @ ( suc @ A_2 ) ) ) ) |
% 5.80/1.42 ( ~( E @ ( s @ 0 ) @ ( f @ A_2 ) ) ) |
% 5.80/1.42 ( iLEQ @ ( suc @ A_2 ) @ ( suc @ A_2 ) ))).
% 5.80/1.42 thf(zip_derived_cl24, plain,
% 5.80/1.42 (![X0 : $i]:
% 5.80/1.42 (~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 5.80/1.42 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 5.80/1.42 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 5.80/1.42 | ~ (E @ (s @ 0) @ (f @ X0))
% 5.80/1.42 | (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 5.80/1.42 inference('cnf', [status(esa)], [clause_165])).
% 5.80/1.42 thf(clause_243, axiom,
% 5.80/1.42 (( ~( E @ ( s @ 0 ) @ ( f @ A_2 ) ) ) |
% 5.80/1.42 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ A_2 ) ) ) ) |
% 5.80/1.42 ( E @ ( f @ A_2 ) @ ( f @ ( suc @ A_2 ) ) ) |
% 5.80/1.42 ( iLEQ @ ( suc @ A_2 ) @ ( suc @ A_2 ) ))).
% 5.80/1.42 thf(zip_derived_cl31, plain,
% 5.80/1.42 (![X0 : $i]:
% 5.80/1.42 (~ (E @ (s @ 0) @ (f @ X0))
% 5.80/1.42 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 5.80/1.42 | (E @ (f @ X0) @ (f @ (suc @ X0)))
% 5.80/1.42 | (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 5.80/1.42 inference('cnf', [status(esa)], [clause_243])).
% 5.80/1.42 thf(zip_derived_cl107, plain,
% 5.80/1.42 (![X0 : $i]:
% 5.80/1.42 ( (iLEQ @ (suc @ X0) @ (suc @ X0))
% 5.80/1.42 | ~ (E @ (s @ 0) @ (f @ X0))
% 5.80/1.42 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 5.80/1.42 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0)))))),
% 5.80/1.42 inference('clc', [status(thm)], [zip_derived_cl24, zip_derived_cl31])).
% 5.80/1.42 thf(zip_derived_cl1065, plain,
% 5.80/1.42 (![X0 : $i]:
% 5.80/1.42 (~ (E @ (s @ 0) @ (f @ X0))
% 5.80/1.42 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 5.80/1.42 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 5.80/1.42 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0)))))),
% 5.80/1.42 inference('clc', [status(thm)], [zip_derived_cl1061, zip_derived_cl107])).
% 5.80/1.42 thf(clause_1322, axiom,
% 5.80/1.42 (( ~( E @ ( s @ 0 ) @ ( f @ B_69 ) ) ) |
% 5.80/1.42 ( ~( E @ ( s @ 0 ) @ ( f @ B_68 ) ) ) |
% 5.80/1.42 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ A_2 ) ) ) ) |
% 5.80/1.42 ( ~( iLEQ @ ( suc @ B_69 ) @ ( suc @ B_70 ) ) ) |
% 5.80/1.42 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ B_69 ) ) ) ) |
% 5.80/1.42 ( ~( iLEQ @ ( suc @ A_2 ) @ ( suc @ B_68 ) ) ) |
% 5.80/1.42 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ B_70 ) ) ) ) |
% 5.80/1.42 ( ~( iLEQ @ ( suc @ B_68 ) @ ( suc @ B_69 ) ) ) |
% 5.80/1.42 ( ~( E @ ( s @ 0 ) @ ( f @ B_70 ) ) ) |
% 5.80/1.42 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ B_68 ) ) ) ) |
% 5.80/1.42 ( ~( E @ ( s @ 0 ) @ ( f @ A_2 ) ) ) |
% 5.80/1.42 ( E @ ( f @ A_2 ) @ ( f @ ( suc @ A_2 ) ) ) |
% 5.80/1.42 ( E @ ( f @ B_68 ) @ ( f @ ( suc @ B_68 ) ) ) |
% 5.80/1.42 ( E @ ( f @ B_69 ) @ ( f @ ( suc @ B_69 ) ) ) |
% 5.80/1.42 ( E @ ( f @ B_70 ) @ ( f @ ( suc @ B_70 ) ) ))).
% 5.80/1.42 thf(zip_derived_cl35, plain,
% 5.80/1.42 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 5.80/1.42 (~ (E @ (s @ 0) @ (f @ X0))
% 5.80/1.42 | ~ (E @ (s @ 0) @ (f @ X1))
% 5.80/1.42 | ~ (E @ (s @ 0) @ (f @ (suc @ X2)))
% 5.80/1.42 | ~ (iLEQ @ (suc @ X0) @ (suc @ X3))
% 5.80/1.42 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 5.80/1.42 | ~ (iLEQ @ (suc @ X2) @ (suc @ X1))
% 5.80/1.42 | ~ (E @ (s @ 0) @ (f @ (suc @ X3)))
% 5.80/1.42 | ~ (iLEQ @ (suc @ X1) @ (suc @ X0))
% 5.80/1.42 | ~ (E @ (s @ 0) @ (f @ X3))
% 5.80/1.42 | ~ (E @ (s @ 0) @ (f @ (suc @ X1)))
% 5.80/1.42 | ~ (E @ (s @ 0) @ (f @ X2))
% 5.80/1.42 | (E @ (f @ X2) @ (f @ (suc @ X2)))
% 5.80/1.42 | (E @ (f @ X1) @ (f @ (suc @ X1)))
% 5.80/1.42 | (E @ (f @ X0) @ (f @ (suc @ X0)))
% 5.80/1.42 | (E @ (f @ X3) @ (f @ (suc @ X3))))),
% 5.80/1.42 inference('cnf', [status(esa)], [clause_1322])).
% 5.80/1.42 thf(zip_derived_cl325, plain,
% 5.80/1.42 (![X0 : $i, X1 : $i]:
% 5.80/1.42 ( (E @ (f @ X0) @ (f @ (suc @ X0)))
% 5.80/1.42 | (E @ (f @ X1) @ (f @ (suc @ X1)))
% 5.80/1.42 | (E @ (f @ X0) @ (f @ (suc @ X0)))
% 5.80/1.42 | (E @ (f @ X1) @ (f @ (suc @ X1)))
% 5.80/1.42 | ~ (E @ (s @ 0) @ (f @ X1))
% 5.80/1.42 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 5.80/1.42 | ~ (E @ (s @ 0) @ (f @ X0))
% 5.80/1.42 | ~ (iLEQ @ (suc @ X0) @ (suc @ X1))
% 5.80/1.42 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 5.80/1.42 | ~ (iLEQ @ (suc @ X1) @ (suc @ X0))
% 5.80/1.42 | ~ (E @ (s @ 0) @ (f @ (suc @ X1)))
% 5.80/1.42 | ~ (E @ (s @ 0) @ (f @ (suc @ X1)))
% 5.80/1.42 | ~ (E @ (s @ 0) @ (f @ X0))
% 5.80/1.42 | ~ (E @ (s @ 0) @ (f @ X1)))),
% 5.80/1.42 inference('eq_fact', [status(thm)], [zip_derived_cl35])).
% 5.80/1.42 thf(zip_derived_cl327, plain,
% 5.80/1.42 (![X0 : $i, X1 : $i]:
% 5.80/1.42 (~ (E @ (s @ 0) @ (f @ (suc @ X1)))
% 5.80/1.42 | ~ (iLEQ @ (suc @ X1) @ (suc @ X0))
% 5.80/1.42 | ~ (iLEQ @ (suc @ X0) @ (suc @ X1))
% 5.80/1.42 | ~ (E @ (s @ 0) @ (f @ X0))
% 5.80/1.42 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 5.80/1.42 | ~ (E @ (s @ 0) @ (f @ X1))
% 5.80/1.42 | (E @ (f @ X1) @ (f @ (suc @ X1)))
% 5.80/1.42 | (E @ (f @ X0) @ (f @ (suc @ X0))))),
% 5.80/1.42 inference('simplify', [status(thm)], [zip_derived_cl325])).
% 5.80/1.42 thf(zip_derived_cl1029, plain,
% 5.80/1.42 (![X0 : $i]:
% 5.80/1.42 ( (E @ (f @ X0) @ (f @ (suc @ X0)))
% 5.80/1.42 | (E @ (f @ X0) @ (f @ (suc @ X0)))
% 5.80/1.42 | ~ (E @ (s @ 0) @ (f @ X0))
% 5.80/1.42 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 5.80/1.42 | ~ (E @ (s @ 0) @ (f @ X0))
% 5.80/1.42 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 5.80/1.42 | ~ (E @ (s @ 0) @ (f @ (suc @ X0))))),
% 5.80/1.42 inference('eq_fact', [status(thm)], [zip_derived_cl327])).
% 5.80/1.42 thf(zip_derived_cl1030, plain,
% 5.80/1.42 (![X0 : $i]:
% 5.80/1.42 (~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 5.80/1.42 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 5.80/1.42 | ~ (E @ (s @ 0) @ (f @ X0))
% 5.80/1.42 | (E @ (f @ X0) @ (f @ (suc @ X0))))),
% 5.80/1.42 inference('simplify', [status(thm)], [zip_derived_cl1029])).
% 5.80/1.42 thf(zip_derived_cl31, plain,
% 5.80/1.42 (![X0 : $i]:
% 5.80/1.42 (~ (E @ (s @ 0) @ (f @ X0))
% 5.80/1.42 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 5.80/1.42 | (E @ (f @ X0) @ (f @ (suc @ X0)))
% 5.80/1.42 | (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 5.80/1.42 inference('cnf', [status(esa)], [clause_243])).
% 5.80/1.42 thf(zip_derived_cl1035, plain,
% 5.80/1.42 (![X0 : $i]:
% 5.80/1.42 ( (E @ (f @ X0) @ (f @ (suc @ X0)))
% 5.80/1.42 | ~ (E @ (s @ 0) @ (f @ X0))
% 5.80/1.42 | ~ (E @ (s @ 0) @ (f @ (suc @ X0))))),
% 5.80/1.42 inference('clc', [status(thm)], [zip_derived_cl1030, zip_derived_cl31])).
% 5.80/1.42 thf(zip_derived_cl1066, plain,
% 5.80/1.42 (![X0 : $i]:
% 5.80/1.42 (~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 5.80/1.42 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 5.80/1.42 | ~ (E @ (s @ 0) @ (f @ X0)))),
% 5.80/1.42 inference('clc', [status(thm)], [zip_derived_cl1065, zip_derived_cl1035])).
% 5.80/1.42 thf(zip_derived_cl1251, plain,
% 5.80/1.42 (( (E @ 0 @ (f @ (suc @ (suc @ z))))
% 5.80/1.42 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ z))))
% 5.80/1.42 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ z))))))),
% 5.80/1.42 inference('sup-', [status(thm)], [zip_derived_cl1250, zip_derived_cl1066])).
% 5.80/1.42 thf(zip_derived_cl1104, plain,
% 5.80/1.42 (![X0 : $i]:
% 5.80/1.42 (~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 5.80/1.42 | ~ (E @ (s @ (s @ 0)) @ (f @ X0))
% 5.80/1.42 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ X0)))))),
% 5.80/1.42 inference('clc', [status(thm)], [zip_derived_cl1103, zip_derived_cl1082])).
% 5.80/1.42 thf(zip_derived_cl123, plain,
% 5.80/1.42 (![X0 : $i]:
% 5.80/1.42 ( (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ X0))))
% 5.80/1.42 | (LE @ (f @ X0) @ (s @ (s @ 0))))),
% 5.80/1.42 inference('demod', [status(thm)], [zip_derived_cl63, zip_derived_cl5])).
% 5.80/1.42 thf(clause_1415, axiom,
% 5.80/1.42 (( ~( LE @ ( f @ B_67 ) @ ( s @ ( s @ 0 ) ) ) ) |
% 5.80/1.42 ( E @ ( s @ 0 ) @ ( f @ B_67 ) ) | ( LE @ ( f @ B_67 ) @ ( s @ 0 ) ))).
% 5.80/1.42 thf(zip_derived_cl17, plain,
% 5.80/1.42 (![X0 : $i]:
% 5.80/1.42 (~ (LE @ (f @ X0) @ (s @ (s @ 0)))
% 5.80/1.42 | (E @ (s @ 0) @ (f @ X0))
% 5.80/1.42 | (LE @ (f @ X0) @ (s @ 0)))),
% 5.80/1.42 inference('cnf', [status(esa)], [clause_1415])).
% 5.80/1.42 thf(zip_derived_cl124, plain,
% 5.80/1.42 (![X0 : $i]:
% 5.80/1.42 ( (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ X0))))
% 5.80/1.42 | (LE @ (f @ X0) @ (s @ 0))
% 5.80/1.42 | (E @ (s @ 0) @ (f @ X0)))),
% 5.80/1.42 inference('sup-', [status(thm)], [zip_derived_cl123, zip_derived_cl17])).
% 5.80/1.42 thf(zip_derived_cl21, plain,
% 5.80/1.42 (![X0 : $i]:
% 5.80/1.42 (~ (LE @ (f @ (suc @ (suc @ X0))) @ (s @ 0))
% 5.80/1.42 | (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 5.80/1.42 | (LE @ (f @ X0) @ 0))),
% 5.80/1.42 inference('cnf', [status(esa)], [clause_225])).
% 5.80/1.42 thf(zip_derived_cl151, plain,
% 5.80/1.42 (![X0 : $i]:
% 5.80/1.42 ( (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 5.80/1.42 | (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ (suc @ (suc @ X0))))))
% 5.80/1.42 | (LE @ (f @ X0) @ 0)
% 5.80/1.42 | (E @ 0 @ (f @ (suc @ (suc @ X0)))))),
% 5.80/1.42 inference('sup-', [status(thm)], [zip_derived_cl124, zip_derived_cl21])).
% 5.80/1.42 thf(zip_derived_cl25, plain, (~ (LE @ (f @ z) @ 0)),
% 5.80/1.42 inference('cnf', [status(esa)], [clause_709])).
% 5.80/1.42 thf(zip_derived_cl1042, plain,
% 5.80/1.42 (( (E @ 0 @ (f @ (suc @ (suc @ z))))
% 5.80/1.42 | (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ (suc @ (suc @ z))))))
% 5.80/1.42 | (E @ (s @ 0) @ (f @ (suc @ (suc @ z)))))),
% 5.80/1.42 inference('sup-', [status(thm)], [zip_derived_cl151, zip_derived_cl25])).
% 5.80/1.42 thf(zip_derived_cl1120, plain,
% 5.80/1.42 ((~ (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ z))))
% 5.80/1.42 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ (suc @ z)))))
% 5.80/1.42 | (E @ (s @ 0) @ (f @ (suc @ (suc @ z))))
% 5.80/1.42 | (E @ 0 @ (f @ (suc @ (suc @ z)))))),
% 5.80/1.42 inference('sup+', [status(thm)], [zip_derived_cl1104, zip_derived_cl1042])).
% 5.80/1.42 thf(zip_derived_cl74, plain,
% 5.80/1.42 (![X0 : $i]:
% 5.80/1.42 ( (E @ (s @ (s @ 0)) @ (f @ X0)) | (LE @ (f @ X0) @ (s @ (s @ 0))))),
% 5.80/1.42 inference('demod', [status(thm)], [zip_derived_cl49, zip_derived_cl5])).
% 5.80/1.42 thf(zip_derived_cl17, plain,
% 5.80/1.42 (![X0 : $i]:
% 5.80/1.42 (~ (LE @ (f @ X0) @ (s @ (s @ 0)))
% 5.80/1.42 | (E @ (s @ 0) @ (f @ X0))
% 5.80/1.42 | (LE @ (f @ X0) @ (s @ 0)))),
% 5.80/1.42 inference('cnf', [status(esa)], [clause_1415])).
% 5.80/1.42 thf(zip_derived_cl75, plain,
% 5.80/1.42 (![X0 : $i]:
% 5.80/1.42 ( (E @ (s @ (s @ 0)) @ (f @ X0))
% 5.80/1.42 | (LE @ (f @ X0) @ (s @ 0))
% 5.80/1.42 | (E @ (s @ 0) @ (f @ X0)))),
% 5.80/1.42 inference('sup-', [status(thm)], [zip_derived_cl74, zip_derived_cl17])).
% 5.80/1.42 thf(zip_derived_cl21, plain,
% 5.80/1.42 (![X0 : $i]:
% 5.80/1.42 (~ (LE @ (f @ (suc @ (suc @ X0))) @ (s @ 0))
% 5.80/1.42 | (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 5.80/1.42 | (LE @ (f @ X0) @ 0))),
% 5.80/1.42 inference('cnf', [status(esa)], [clause_225])).
% 5.80/1.42 thf(zip_derived_cl82, plain,
% 5.80/1.42 (![X0 : $i]:
% 5.80/1.42 ( (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 5.80/1.42 | (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ X0))))
% 5.80/1.42 | (LE @ (f @ X0) @ 0)
% 5.80/1.42 | (E @ 0 @ (f @ (suc @ (suc @ X0)))))),
% 5.80/1.42 inference('sup-', [status(thm)], [zip_derived_cl75, zip_derived_cl21])).
% 5.80/1.42 thf(zip_derived_cl25, plain, (~ (LE @ (f @ z) @ 0)),
% 5.80/1.42 inference('cnf', [status(esa)], [clause_709])).
% 5.80/1.42 thf(zip_derived_cl982, plain,
% 5.80/1.42 (( (E @ 0 @ (f @ (suc @ (suc @ z))))
% 5.80/1.42 | (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ z))))
% 5.80/1.42 | (E @ (s @ 0) @ (f @ (suc @ (suc @ z)))))),
% 5.80/1.42 inference('sup-', [status(thm)], [zip_derived_cl82, zip_derived_cl25])).
% 5.80/1.42 thf(zip_derived_cl1211, plain,
% 5.80/1.42 (( (E @ 0 @ (f @ (suc @ (suc @ z))))
% 5.80/1.42 | (E @ (s @ 0) @ (f @ (suc @ (suc @ z))))
% 5.80/1.42 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ (suc @ z))))))),
% 5.80/1.42 inference('clc', [status(thm)], [zip_derived_cl1120, zip_derived_cl982])).
% 5.80/1.42 thf(zip_derived_cl112, plain,
% 5.80/1.42 (![X0 : $i]:
% 5.80/1.42 ( (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 5.80/1.42 | (LE @ (f @ X0) @ (s @ (s @ 0))))),
% 5.80/1.42 inference('demod', [status(thm)], [zip_derived_cl37, zip_derived_cl5])).
% 5.80/1.42 thf(zip_derived_cl17, plain,
% 5.80/1.42 (![X0 : $i]:
% 5.80/1.42 (~ (LE @ (f @ X0) @ (s @ (s @ 0)))
% 5.80/1.42 | (E @ (s @ 0) @ (f @ X0))
% 5.80/1.42 | (LE @ (f @ X0) @ (s @ 0)))),
% 5.80/1.42 inference('cnf', [status(esa)], [clause_1415])).
% 5.80/1.42 thf(zip_derived_cl113, plain,
% 5.80/1.42 (![X0 : $i]:
% 5.80/1.42 ( (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 5.80/1.42 | (LE @ (f @ X0) @ (s @ 0))
% 5.80/1.42 | (E @ (s @ 0) @ (f @ X0)))),
% 5.80/1.42 inference('sup-', [status(thm)], [zip_derived_cl112, zip_derived_cl17])).
% 5.80/1.42 thf(zip_derived_cl21, plain,
% 5.80/1.42 (![X0 : $i]:
% 5.80/1.42 (~ (LE @ (f @ (suc @ (suc @ X0))) @ (s @ 0))
% 5.80/1.42 | (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 5.80/1.42 | (LE @ (f @ X0) @ 0))),
% 5.80/1.42 inference('cnf', [status(esa)], [clause_225])).
% 5.80/1.42 thf(zip_derived_cl131, plain,
% 5.80/1.42 (![X0 : $i]:
% 5.80/1.42 ( (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 5.80/1.42 | (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 5.80/1.42 | (LE @ (f @ X0) @ 0)
% 5.80/1.42 | (E @ 0 @ (f @ (suc @ (suc @ X0)))))),
% 5.80/1.42 inference('sup-', [status(thm)], [zip_derived_cl113, zip_derived_cl21])).
% 5.80/1.42 thf(zip_derived_cl25, plain, (~ (LE @ (f @ z) @ 0)),
% 5.80/1.42 inference('cnf', [status(esa)], [clause_709])).
% 5.80/1.42 thf(zip_derived_cl1019, plain,
% 5.80/1.42 (( (E @ 0 @ (f @ (suc @ (suc @ z))))
% 5.80/1.42 | (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ (suc @ z)))))
% 5.80/1.42 | (E @ (s @ 0) @ (f @ (suc @ (suc @ z)))))),
% 5.80/1.42 inference('sup-', [status(thm)], [zip_derived_cl131, zip_derived_cl25])).
% 5.80/1.42 thf(zip_derived_cl1212, plain,
% 5.80/1.42 (( (E @ (s @ 0) @ (f @ (suc @ (suc @ z))))
% 5.80/1.42 | (E @ 0 @ (f @ (suc @ (suc @ z)))))),
% 5.80/1.42 inference('clc', [status(thm)], [zip_derived_cl1211, zip_derived_cl1019])).
% 5.80/1.42 thf(zip_derived_cl1253, plain,
% 5.80/1.42 ((~ (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ z)))))
% 5.80/1.42 | (E @ 0 @ (f @ (suc @ (suc @ z)))))),
% 5.80/1.42 inference('clc', [status(thm)], [zip_derived_cl1251, zip_derived_cl1212])).
% 5.80/1.42 thf(zip_derived_cl1104, plain,
% 5.80/1.42 (![X0 : $i]:
% 5.80/1.42 (~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 5.80/1.42 | ~ (E @ (s @ (s @ 0)) @ (f @ X0))
% 5.80/1.42 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ X0)))))),
% 5.80/1.42 inference('clc', [status(thm)], [zip_derived_cl1103, zip_derived_cl1082])).
% 5.80/1.42 thf(zip_derived_cl123, plain,
% 5.80/1.42 (![X0 : $i]:
% 5.80/1.42 ( (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ X0))))
% 5.80/1.42 | (LE @ (f @ X0) @ (s @ (s @ 0))))),
% 5.80/1.42 inference('demod', [status(thm)], [zip_derived_cl63, zip_derived_cl5])).
% 5.80/1.42 thf(clause_1246, axiom,
% 5.80/1.42 (( ~( LE @ ( f @ ( suc @ B_67 ) ) @ ( s @ ( s @ 0 ) ) ) ) |
% 5.80/1.42 ( E @ ( s @ 0 ) @ ( f @ ( suc @ B_67 ) ) ) |
% 5.80/1.42 ( LE @ ( f @ B_67 ) @ ( s @ 0 ) ))).
% 5.80/1.42 thf(zip_derived_cl33, plain,
% 5.80/1.42 (![X0 : $i]:
% 5.80/1.42 (~ (LE @ (f @ (suc @ X0)) @ (s @ (s @ 0)))
% 5.80/1.42 | (E @ (s @ 0) @ (f @ (suc @ X0)))
% 5.80/1.42 | (LE @ (f @ X0) @ (s @ 0)))),
% 5.80/1.42 inference('cnf', [status(esa)], [clause_1246])).
% 5.80/1.42 thf(zip_derived_cl126, plain,
% 5.80/1.42 (![X0 : $i]:
% 5.80/1.42 ( (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 5.80/1.42 | (LE @ (f @ X0) @ (s @ 0))
% 5.80/1.42 | (E @ (s @ 0) @ (f @ (suc @ X0))))),
% 5.80/1.42 inference('sup-', [status(thm)], [zip_derived_cl123, zip_derived_cl33])).
% 5.80/1.42 thf(zip_derived_cl21, plain,
% 5.80/1.42 (![X0 : $i]:
% 5.80/1.42 (~ (LE @ (f @ (suc @ (suc @ X0))) @ (s @ 0))
% 5.80/1.42 | (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 5.80/1.42 | (LE @ (f @ X0) @ 0))),
% 5.80/1.42 inference('cnf', [status(esa)], [clause_225])).
% 5.80/1.42 thf(zip_derived_cl336, plain,
% 5.80/1.42 (![X0 : $i]:
% 5.80/1.42 ( (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 5.80/1.42 | (E @ (s @ (s @ 0)) @
% 5.80/1.42 (f @ (suc @ (suc @ (suc @ (suc @ (suc @ X0)))))))
% 5.80/1.42 | (LE @ (f @ X0) @ 0)
% 5.80/1.42 | (E @ 0 @ (f @ (suc @ (suc @ X0)))))),
% 5.80/1.42 inference('sup-', [status(thm)], [zip_derived_cl126, zip_derived_cl21])).
% 5.80/1.42 thf(zip_derived_cl25, plain, (~ (LE @ (f @ z) @ 0)),
% 5.80/1.42 inference('cnf', [status(esa)], [clause_709])).
% 5.80/1.42 thf(zip_derived_cl1093, plain,
% 5.80/1.42 (( (E @ 0 @ (f @ (suc @ (suc @ z))))
% 5.80/1.42 | (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ (suc @ (suc @ (suc @ z)))))))
% 5.80/1.42 | (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ z))))))),
% 5.80/1.42 inference('sup-', [status(thm)], [zip_derived_cl336, zip_derived_cl25])).
% 5.80/1.42 thf(zip_derived_cl1125, plain,
% 5.80/1.42 ((~ (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ (suc @ z)))))
% 5.80/1.42 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ (suc @ (suc @ z))))))
% 5.80/1.42 | (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ z)))))
% 5.80/1.42 | (E @ 0 @ (f @ (suc @ (suc @ z)))))),
% 5.80/1.42 inference('sup+', [status(thm)], [zip_derived_cl1104, zip_derived_cl1093])).
% 5.80/1.42 thf(zip_derived_cl74, plain,
% 5.80/1.42 (![X0 : $i]:
% 5.80/1.42 ( (E @ (s @ (s @ 0)) @ (f @ X0)) | (LE @ (f @ X0) @ (s @ (s @ 0))))),
% 5.80/1.42 inference('demod', [status(thm)], [zip_derived_cl49, zip_derived_cl5])).
% 5.80/1.42 thf(zip_derived_cl33, plain,
% 5.80/1.42 (![X0 : $i]:
% 5.80/1.42 (~ (LE @ (f @ (suc @ X0)) @ (s @ (s @ 0)))
% 5.80/1.42 | (E @ (s @ 0) @ (f @ (suc @ X0)))
% 5.80/1.42 | (LE @ (f @ X0) @ (s @ 0)))),
% 5.80/1.42 inference('cnf', [status(esa)], [clause_1246])).
% 5.80/1.42 thf(zip_derived_cl76, plain,
% 5.80/1.42 (![X0 : $i]:
% 5.80/1.42 ( (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 5.80/1.42 | (LE @ (f @ X0) @ (s @ 0))
% 5.80/1.42 | (E @ (s @ 0) @ (f @ (suc @ X0))))),
% 5.80/1.42 inference('sup-', [status(thm)], [zip_derived_cl74, zip_derived_cl33])).
% 5.80/1.42 thf(zip_derived_cl21, plain,
% 5.80/1.42 (![X0 : $i]:
% 5.80/1.42 (~ (LE @ (f @ (suc @ (suc @ X0))) @ (s @ 0))
% 5.80/1.42 | (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 5.80/1.42 | (LE @ (f @ X0) @ 0))),
% 5.80/1.42 inference('cnf', [status(esa)], [clause_225])).
% 5.80/1.42 thf(zip_derived_cl88, plain,
% 5.80/1.42 (![X0 : $i]:
% 5.80/1.42 ( (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 5.80/1.42 | (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 5.80/1.42 | (LE @ (f @ X0) @ 0)
% 5.80/1.42 | (E @ 0 @ (f @ (suc @ (suc @ X0)))))),
% 5.80/1.42 inference('sup-', [status(thm)], [zip_derived_cl76, zip_derived_cl21])).
% 5.80/1.42 thf(zip_derived_cl25, plain, (~ (LE @ (f @ z) @ 0)),
% 5.80/1.42 inference('cnf', [status(esa)], [clause_709])).
% 5.80/1.42 thf(zip_derived_cl1007, plain,
% 5.80/1.42 (( (E @ 0 @ (f @ (suc @ (suc @ z))))
% 5.80/1.42 | (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ (suc @ z)))))
% 5.80/1.42 | (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ z))))))),
% 5.80/1.42 inference('sup-', [status(thm)], [zip_derived_cl88, zip_derived_cl25])).
% 5.80/1.42 thf(zip_derived_cl1237, plain,
% 5.80/1.42 (( (E @ 0 @ (f @ (suc @ (suc @ z))))
% 5.80/1.42 | (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ z)))))
% 5.80/1.42 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ (suc @ (suc @ z)))))))),
% 5.80/1.42 inference('clc', [status(thm)], [zip_derived_cl1125, zip_derived_cl1007])).
% 5.80/1.42 thf(zip_derived_cl112, plain,
% 5.80/1.42 (![X0 : $i]:
% 5.80/1.42 ( (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 5.80/1.42 | (LE @ (f @ X0) @ (s @ (s @ 0))))),
% 5.80/1.42 inference('demod', [status(thm)], [zip_derived_cl37, zip_derived_cl5])).
% 5.80/1.42 thf(zip_derived_cl33, plain,
% 5.80/1.42 (![X0 : $i]:
% 5.80/1.42 (~ (LE @ (f @ (suc @ X0)) @ (s @ (s @ 0)))
% 5.80/1.42 | (E @ (s @ 0) @ (f @ (suc @ X0)))
% 5.80/1.42 | (LE @ (f @ X0) @ (s @ 0)))),
% 5.80/1.42 inference('cnf', [status(esa)], [clause_1246])).
% 5.80/1.42 thf(zip_derived_cl115, plain,
% 5.80/1.42 (![X0 : $i]:
% 5.80/1.42 ( (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ X0))))
% 5.80/1.42 | (LE @ (f @ X0) @ (s @ 0))
% 5.80/1.42 | (E @ (s @ 0) @ (f @ (suc @ X0))))),
% 5.80/1.42 inference('sup-', [status(thm)], [zip_derived_cl112, zip_derived_cl33])).
% 5.80/1.42 thf(zip_derived_cl21, plain,
% 5.80/1.42 (![X0 : $i]:
% 5.80/1.42 (~ (LE @ (f @ (suc @ (suc @ X0))) @ (s @ 0))
% 5.80/1.42 | (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 5.80/1.42 | (LE @ (f @ X0) @ 0))),
% 5.80/1.42 inference('cnf', [status(esa)], [clause_225])).
% 5.80/1.42 thf(zip_derived_cl228, plain,
% 5.80/1.42 (![X0 : $i]:
% 5.80/1.42 ( (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 5.80/1.42 | (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ (suc @ (suc @ X0))))))
% 5.80/1.42 | (LE @ (f @ X0) @ 0)
% 5.80/1.42 | (E @ 0 @ (f @ (suc @ (suc @ X0)))))),
% 5.80/1.42 inference('sup-', [status(thm)], [zip_derived_cl115, zip_derived_cl21])).
% 5.80/1.42 thf(zip_derived_cl25, plain, (~ (LE @ (f @ z) @ 0)),
% 5.80/1.42 inference('cnf', [status(esa)], [clause_709])).
% 5.80/1.42 thf(zip_derived_cl1055, plain,
% 5.80/1.42 (( (E @ 0 @ (f @ (suc @ (suc @ z))))
% 5.80/1.42 | (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ (suc @ (suc @ z))))))
% 5.80/1.42 | (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ z))))))),
% 5.80/1.42 inference('sup-', [status(thm)], [zip_derived_cl228, zip_derived_cl25])).
% 5.80/1.42 thf(zip_derived_cl1238, plain,
% 5.80/1.42 (( (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ z)))))
% 5.80/1.42 | (E @ 0 @ (f @ (suc @ (suc @ z)))))),
% 5.80/1.42 inference('clc', [status(thm)], [zip_derived_cl1237, zip_derived_cl1055])).
% 5.80/1.42 thf(zip_derived_cl1254, plain, ( (E @ 0 @ (f @ (suc @ (suc @ z))))),
% 5.80/1.42 inference('clc', [status(thm)], [zip_derived_cl1253, zip_derived_cl1238])).
% 5.80/1.42 thf(zip_derived_cl1256, plain,
% 5.80/1.42 ((~ (E @ 0 @ (f @ (suc @ z))) | ~ (E @ 0 @ (f @ z)))),
% 5.80/1.42 inference('sup+', [status(thm)], [zip_derived_cl1018, zip_derived_cl1254])).
% 5.80/1.42 thf(zip_derived_cl1104, plain,
% 5.80/1.42 (![X0 : $i]:
% 5.80/1.42 (~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 5.80/1.42 | ~ (E @ (s @ (s @ 0)) @ (f @ X0))
% 5.80/1.42 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ X0)))))),
% 5.80/1.42 inference('clc', [status(thm)], [zip_derived_cl1103, zip_derived_cl1082])).
% 5.80/1.42 thf(zip_derived_cl125, plain,
% 5.80/1.42 (![X0 : $i]:
% 5.80/1.42 ( (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ (suc @ (suc @ X0))))))
% 5.80/1.42 | (LE @ (f @ X0) @ (s @ 0))
% 5.80/1.42 | (E @ (s @ 0) @ (f @ (suc @ (suc @ X0)))))),
% 5.80/1.42 inference('sup-', [status(thm)], [zip_derived_cl123, zip_derived_cl20])).
% 5.80/1.42 thf(clause_1256, axiom,
% 5.80/1.42 (( ~( LE @ ( f @ ( suc @ B_79 ) ) @ ( s @ 0 ) ) ) |
% 5.80/1.42 ( E @ 0 @ ( f @ ( suc @ B_79 ) ) ) | ( LE @ ( f @ B_79 ) @ 0 ))).
% 5.80/1.42 thf(zip_derived_cl42, plain,
% 5.80/1.42 (![X0 : $i]:
% 5.80/1.42 (~ (LE @ (f @ (suc @ X0)) @ (s @ 0))
% 5.80/1.42 | (E @ 0 @ (f @ (suc @ X0)))
% 5.80/1.42 | (LE @ (f @ X0) @ 0))),
% 5.80/1.42 inference('cnf', [status(esa)], [clause_1256])).
% 5.80/1.42 thf(zip_derived_cl643, plain,
% 5.80/1.42 (![X0 : $i]:
% 5.80/1.42 ( (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 5.80/1.42 | (E @ (s @ (s @ 0)) @
% 5.80/1.42 (f @ (suc @ (suc @ (suc @ (suc @ (suc @ X0)))))))
% 5.80/1.42 | (LE @ (f @ X0) @ 0)
% 5.80/1.42 | (E @ 0 @ (f @ (suc @ X0))))),
% 5.80/1.42 inference('sup-', [status(thm)], [zip_derived_cl125, zip_derived_cl42])).
% 5.80/1.42 thf(zip_derived_cl25, plain, (~ (LE @ (f @ z) @ 0)),
% 5.80/1.42 inference('cnf', [status(esa)], [clause_709])).
% 5.80/1.42 thf(zip_derived_cl1069, plain,
% 5.80/1.42 (( (E @ 0 @ (f @ (suc @ z)))
% 5.80/1.42 | (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ (suc @ (suc @ (suc @ z)))))))
% 5.80/1.42 | (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ z))))))),
% 5.80/1.42 inference('sup-', [status(thm)], [zip_derived_cl643, zip_derived_cl25])).
% 5.80/1.42 thf(zip_derived_cl1124, plain,
% 5.80/1.42 ((~ (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ (suc @ z)))))
% 5.80/1.42 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ (suc @ (suc @ z))))))
% 5.80/1.42 | (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ z)))))
% 5.80/1.42 | (E @ 0 @ (f @ (suc @ z))))),
% 5.80/1.42 inference('sup+', [status(thm)], [zip_derived_cl1104, zip_derived_cl1069])).
% 5.80/1.42 thf(zip_derived_cl79, plain,
% 5.80/1.42 (![X0 : $i]:
% 5.80/1.42 ( (LE @ (f @ X0) @ (s @ 0))
% 5.80/1.42 | (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 5.80/1.42 | (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ X0)))))),
% 5.80/1.42 inference('sup+', [status(thm)], [zip_derived_cl20, zip_derived_cl74])).
% 5.80/1.42 thf(zip_derived_cl42, plain,
% 5.80/1.42 (![X0 : $i]:
% 5.80/1.42 (~ (LE @ (f @ (suc @ X0)) @ (s @ 0))
% 5.80/1.42 | (E @ 0 @ (f @ (suc @ X0)))
% 5.80/1.42 | (LE @ (f @ X0) @ 0))),
% 5.80/1.42 inference('cnf', [status(esa)], [clause_1256])).
% 5.80/1.42 thf(zip_derived_cl251, plain,
% 5.80/1.42 (![X0 : $i]:
% 5.80/1.42 ( (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 5.80/1.42 | (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 5.80/1.42 | (LE @ (f @ X0) @ 0)
% 5.80/1.42 | (E @ 0 @ (f @ (suc @ X0))))),
% 5.80/1.42 inference('sup-', [status(thm)], [zip_derived_cl79, zip_derived_cl42])).
% 5.80/1.42 thf(zip_derived_cl25, plain, (~ (LE @ (f @ z) @ 0)),
% 5.80/1.42 inference('cnf', [status(esa)], [clause_709])).
% 5.80/1.42 thf(zip_derived_cl1021, plain,
% 5.80/1.42 (( (E @ 0 @ (f @ (suc @ z)))
% 5.80/1.42 | (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ z)))))
% 5.80/1.42 | (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ (suc @ z))))))),
% 5.80/1.42 inference('sup-', [status(thm)], [zip_derived_cl251, zip_derived_cl25])).
% 5.80/1.42 thf(zip_derived_cl1227, plain,
% 5.80/1.42 (( (E @ 0 @ (f @ (suc @ z)))
% 5.80/1.42 | (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ z)))))
% 5.80/1.42 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ (suc @ (suc @ z)))))))),
% 5.80/1.42 inference('clc', [status(thm)], [zip_derived_cl1124, zip_derived_cl1021])).
% 5.80/1.42 thf(zip_derived_cl114, plain,
% 5.80/1.42 (![X0 : $i]:
% 5.80/1.42 ( (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 5.80/1.42 | (LE @ (f @ X0) @ (s @ 0))
% 5.80/1.42 | (E @ (s @ 0) @ (f @ (suc @ (suc @ X0)))))),
% 5.80/1.42 inference('sup-', [status(thm)], [zip_derived_cl112, zip_derived_cl20])).
% 5.80/1.42 thf(zip_derived_cl42, plain,
% 5.80/1.42 (![X0 : $i]:
% 5.80/1.42 (~ (LE @ (f @ (suc @ X0)) @ (s @ 0))
% 5.80/1.42 | (E @ 0 @ (f @ (suc @ X0)))
% 5.80/1.42 | (LE @ (f @ X0) @ 0))),
% 5.80/1.42 inference('cnf', [status(esa)], [clause_1256])).
% 5.80/1.42 thf(zip_derived_cl441, plain,
% 5.80/1.42 (![X0 : $i]:
% 5.80/1.42 ( (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 5.80/1.42 | (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ (suc @ (suc @ X0))))))
% 5.80/1.42 | (LE @ (f @ X0) @ 0)
% 5.80/1.42 | (E @ 0 @ (f @ (suc @ X0))))),
% 5.80/1.42 inference('sup-', [status(thm)], [zip_derived_cl114, zip_derived_cl42])).
% 5.80/1.42 thf(zip_derived_cl25, plain, (~ (LE @ (f @ z) @ 0)),
% 5.80/1.42 inference('cnf', [status(esa)], [clause_709])).
% 5.80/1.42 thf(zip_derived_cl1053, plain,
% 5.80/1.42 (( (E @ 0 @ (f @ (suc @ z)))
% 5.80/1.42 | (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ (suc @ (suc @ z))))))
% 5.80/1.42 | (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ z))))))),
% 5.80/1.42 inference('sup-', [status(thm)], [zip_derived_cl441, zip_derived_cl25])).
% 5.80/1.42 thf(zip_derived_cl1228, plain,
% 5.80/1.42 (( (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ z)))))
% 5.80/1.42 | (E @ 0 @ (f @ (suc @ z))))),
% 5.80/1.42 inference('clc', [status(thm)], [zip_derived_cl1227, zip_derived_cl1053])).
% 5.80/1.42 thf(zip_derived_cl1066, plain,
% 5.80/1.42 (![X0 : $i]:
% 5.80/1.42 (~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 5.80/1.42 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 5.80/1.42 | ~ (E @ (s @ 0) @ (f @ X0)))),
% 5.80/1.42 inference('clc', [status(thm)], [zip_derived_cl1065, zip_derived_cl1035])).
% 5.80/1.42 thf(zip_derived_cl1229, plain,
% 5.80/1.42 (( (E @ 0 @ (f @ (suc @ z)))
% 5.80/1.42 | ~ (E @ (s @ 0) @ (f @ (suc @ z)))
% 5.80/1.42 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ z)))))),
% 5.80/1.42 inference('sup-', [status(thm)], [zip_derived_cl1228, zip_derived_cl1066])).
% 5.80/1.42 thf(zip_derived_cl1104, plain,
% 5.80/1.42 (![X0 : $i]:
% 5.80/1.42 (~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 5.80/1.42 | ~ (E @ (s @ (s @ 0)) @ (f @ X0))
% 5.80/1.42 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ X0)))))),
% 5.80/1.42 inference('clc', [status(thm)], [zip_derived_cl1103, zip_derived_cl1082])).
% 5.80/1.42 thf(zip_derived_cl124, plain,
% 5.80/1.42 (![X0 : $i]:
% 5.80/1.42 ( (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ X0))))
% 5.80/1.42 | (LE @ (f @ X0) @ (s @ 0))
% 5.80/1.42 | (E @ (s @ 0) @ (f @ X0)))),
% 5.80/1.42 inference('sup-', [status(thm)], [zip_derived_cl123, zip_derived_cl17])).
% 5.80/1.42 thf(zip_derived_cl42, plain,
% 5.80/1.42 (![X0 : $i]:
% 5.80/1.42 (~ (LE @ (f @ (suc @ X0)) @ (s @ 0))
% 5.80/1.42 | (E @ 0 @ (f @ (suc @ X0)))
% 5.80/1.42 | (LE @ (f @ X0) @ 0))),
% 5.80/1.42 inference('cnf', [status(esa)], [clause_1256])).
% 5.80/1.42 thf(zip_derived_cl152, plain,
% 5.80/1.42 (![X0 : $i]:
% 5.80/1.42 ( (E @ (s @ 0) @ (f @ (suc @ X0)))
% 5.80/1.42 | (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 5.80/1.42 | (LE @ (f @ X0) @ 0)
% 5.80/1.42 | (E @ 0 @ (f @ (suc @ X0))))),
% 5.80/1.42 inference('sup-', [status(thm)], [zip_derived_cl124, zip_derived_cl42])).
% 5.80/1.42 thf(zip_derived_cl25, plain, (~ (LE @ (f @ z) @ 0)),
% 5.80/1.42 inference('cnf', [status(esa)], [clause_709])).
% 5.80/1.42 thf(zip_derived_cl945, plain,
% 5.80/1.42 (( (E @ 0 @ (f @ (suc @ z)))
% 5.80/1.42 | (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ (suc @ z)))))
% 5.80/1.42 | (E @ (s @ 0) @ (f @ (suc @ z))))),
% 5.80/1.42 inference('sup-', [status(thm)], [zip_derived_cl152, zip_derived_cl25])).
% 5.80/1.42 thf(zip_derived_cl1112, plain,
% 5.80/1.42 ((~ (E @ (s @ (s @ 0)) @ (f @ (suc @ z)))
% 5.80/1.42 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ z))))
% 5.80/1.42 | (E @ (s @ 0) @ (f @ (suc @ z)))
% 5.80/1.42 | (E @ 0 @ (f @ (suc @ z))))),
% 5.80/1.42 inference('sup+', [status(thm)], [zip_derived_cl1104, zip_derived_cl945])).
% 5.80/1.42 thf(zip_derived_cl75, plain,
% 5.80/1.42 (![X0 : $i]:
% 5.80/1.42 ( (E @ (s @ (s @ 0)) @ (f @ X0))
% 5.80/1.42 | (LE @ (f @ X0) @ (s @ 0))
% 5.80/1.42 | (E @ (s @ 0) @ (f @ X0)))),
% 5.80/1.42 inference('sup-', [status(thm)], [zip_derived_cl74, zip_derived_cl17])).
% 5.80/1.42 thf(zip_derived_cl42, plain,
% 5.80/1.42 (![X0 : $i]:
% 5.80/1.42 (~ (LE @ (f @ (suc @ X0)) @ (s @ 0))
% 5.80/1.42 | (E @ 0 @ (f @ (suc @ X0)))
% 5.80/1.42 | (LE @ (f @ X0) @ 0))),
% 5.80/1.42 inference('cnf', [status(esa)], [clause_1256])).
% 5.80/1.42 thf(zip_derived_cl83, plain,
% 5.80/1.42 (![X0 : $i]:
% 5.80/1.42 ( (E @ (s @ 0) @ (f @ (suc @ X0)))
% 5.80/1.42 | (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 5.80/1.42 | (LE @ (f @ X0) @ 0)
% 5.80/1.42 | (E @ 0 @ (f @ (suc @ X0))))),
% 5.80/1.42 inference('sup-', [status(thm)], [zip_derived_cl75, zip_derived_cl42])).
% 5.80/1.42 thf(zip_derived_cl25, plain, (~ (LE @ (f @ z) @ 0)),
% 5.80/1.42 inference('cnf', [status(esa)], [clause_709])).
% 5.80/1.42 thf(zip_derived_cl663, plain,
% 5.80/1.42 (( (E @ 0 @ (f @ (suc @ z)))
% 5.80/1.42 | (E @ (s @ (s @ 0)) @ (f @ (suc @ z)))
% 5.80/1.42 | (E @ (s @ 0) @ (f @ (suc @ z))))),
% 5.80/1.42 inference('sup-', [status(thm)], [zip_derived_cl83, zip_derived_cl25])).
% 5.80/1.42 thf(zip_derived_cl1172, plain,
% 5.80/1.42 (( (E @ 0 @ (f @ (suc @ z)))
% 5.80/1.42 | (E @ (s @ 0) @ (f @ (suc @ z)))
% 5.80/1.42 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ z)))))),
% 5.80/1.42 inference('clc', [status(thm)], [zip_derived_cl1112, zip_derived_cl663])).
% 5.80/1.42 thf(zip_derived_cl113, plain,
% 5.80/1.42 (![X0 : $i]:
% 5.80/1.42 ( (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 5.80/1.42 | (LE @ (f @ X0) @ (s @ 0))
% 5.80/1.42 | (E @ (s @ 0) @ (f @ X0)))),
% 5.80/1.42 inference('sup-', [status(thm)], [zip_derived_cl112, zip_derived_cl17])).
% 5.80/1.42 thf(zip_derived_cl42, plain,
% 5.80/1.42 (![X0 : $i]:
% 5.80/1.42 (~ (LE @ (f @ (suc @ X0)) @ (s @ 0))
% 5.80/1.42 | (E @ 0 @ (f @ (suc @ X0)))
% 5.80/1.42 | (LE @ (f @ X0) @ 0))),
% 5.80/1.42 inference('cnf', [status(esa)], [clause_1256])).
% 5.80/1.42 thf(zip_derived_cl132, plain,
% 5.80/1.42 (![X0 : $i]:
% 5.80/1.42 ( (E @ (s @ 0) @ (f @ (suc @ X0)))
% 5.80/1.42 | (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ X0))))
% 5.80/1.42 | (LE @ (f @ X0) @ 0)
% 5.80/1.42 | (E @ 0 @ (f @ (suc @ X0))))),
% 5.80/1.42 inference('sup-', [status(thm)], [zip_derived_cl113, zip_derived_cl42])).
% 5.80/1.42 thf(zip_derived_cl25, plain, (~ (LE @ (f @ z) @ 0)),
% 5.80/1.42 inference('cnf', [status(esa)], [clause_709])).
% 5.80/1.42 thf(zip_derived_cl843, plain,
% 5.80/1.42 (( (E @ 0 @ (f @ (suc @ z)))
% 5.80/1.42 | (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ z))))
% 5.80/1.42 | (E @ (s @ 0) @ (f @ (suc @ z))))),
% 5.80/1.42 inference('sup-', [status(thm)], [zip_derived_cl132, zip_derived_cl25])).
% 5.80/1.42 thf(zip_derived_cl1173, plain,
% 5.80/1.42 (( (E @ (s @ 0) @ (f @ (suc @ z))) | (E @ 0 @ (f @ (suc @ z))))),
% 5.80/1.42 inference('clc', [status(thm)], [zip_derived_cl1172, zip_derived_cl843])).
% 5.80/1.42 thf(zip_derived_cl1231, plain,
% 5.80/1.42 ((~ (E @ (s @ 0) @ (f @ (suc @ (suc @ z)))) | (E @ 0 @ (f @ (suc @ z))))),
% 5.80/1.42 inference('clc', [status(thm)], [zip_derived_cl1229, zip_derived_cl1173])).
% 5.80/1.42 thf(zip_derived_cl1104, plain,
% 5.80/1.42 (![X0 : $i]:
% 5.80/1.42 (~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 5.80/1.42 | ~ (E @ (s @ (s @ 0)) @ (f @ X0))
% 5.80/1.42 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ X0)))))),
% 5.80/1.42 inference('clc', [status(thm)], [zip_derived_cl1103, zip_derived_cl1082])).
% 5.80/1.42 thf(zip_derived_cl126, plain,
% 5.80/1.42 (![X0 : $i]:
% 5.80/1.42 ( (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 5.80/1.42 | (LE @ (f @ X0) @ (s @ 0))
% 5.80/1.42 | (E @ (s @ 0) @ (f @ (suc @ X0))))),
% 5.80/1.42 inference('sup-', [status(thm)], [zip_derived_cl123, zip_derived_cl33])).
% 5.80/1.42 thf(zip_derived_cl42, plain,
% 5.80/1.42 (![X0 : $i]:
% 5.80/1.42 (~ (LE @ (f @ (suc @ X0)) @ (s @ 0))
% 5.80/1.42 | (E @ 0 @ (f @ (suc @ X0)))
% 5.80/1.42 | (LE @ (f @ X0) @ 0))),
% 5.80/1.42 inference('cnf', [status(esa)], [clause_1256])).
% 5.80/1.42 thf(zip_derived_cl337, plain,
% 5.80/1.42 (![X0 : $i]:
% 5.80/1.42 ( (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 5.80/1.42 | (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ (suc @ (suc @ X0))))))
% 5.80/1.42 | (LE @ (f @ X0) @ 0)
% 5.80/1.42 | (E @ 0 @ (f @ (suc @ X0))))),
% 5.80/1.42 inference('sup-', [status(thm)], [zip_derived_cl126, zip_derived_cl42])).
% 5.80/1.42 thf(zip_derived_cl25, plain, (~ (LE @ (f @ z) @ 0)),
% 5.80/1.42 inference('cnf', [status(esa)], [clause_709])).
% 5.80/1.42 thf(zip_derived_cl1023, plain,
% 5.80/1.42 (( (E @ 0 @ (f @ (suc @ z)))
% 5.80/1.42 | (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ (suc @ (suc @ z))))))
% 5.80/1.42 | (E @ (s @ 0) @ (f @ (suc @ (suc @ z)))))),
% 5.80/1.42 inference('sup-', [status(thm)], [zip_derived_cl337, zip_derived_cl25])).
% 5.80/1.42 thf(zip_derived_cl1119, plain,
% 5.80/1.42 ((~ (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ z))))
% 5.80/1.42 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ (suc @ z)))))
% 5.80/1.42 | (E @ (s @ 0) @ (f @ (suc @ (suc @ z))))
% 5.80/1.42 | (E @ 0 @ (f @ (suc @ z))))),
% 5.80/1.42 inference('sup+', [status(thm)], [zip_derived_cl1104, zip_derived_cl1023])).
% 5.80/1.42 thf(zip_derived_cl76, plain,
% 5.80/1.42 (![X0 : $i]:
% 5.80/1.42 ( (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 5.80/1.42 | (LE @ (f @ X0) @ (s @ 0))
% 5.80/1.42 | (E @ (s @ 0) @ (f @ (suc @ X0))))),
% 5.80/1.42 inference('sup-', [status(thm)], [zip_derived_cl74, zip_derived_cl33])).
% 5.80/1.42 thf(zip_derived_cl42, plain,
% 5.80/1.42 (![X0 : $i]:
% 5.80/1.42 (~ (LE @ (f @ (suc @ X0)) @ (s @ 0))
% 5.80/1.42 | (E @ 0 @ (f @ (suc @ X0)))
% 5.80/1.42 | (LE @ (f @ X0) @ 0))),
% 5.80/1.42 inference('cnf', [status(esa)], [clause_1256])).
% 5.80/1.42 thf(zip_derived_cl89, plain,
% 5.80/1.42 (![X0 : $i]:
% 5.80/1.42 ( (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 5.80/1.42 | (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ X0))))
% 5.80/1.42 | (LE @ (f @ X0) @ 0)
% 5.80/1.42 | (E @ 0 @ (f @ (suc @ X0))))),
% 5.80/1.42 inference('sup-', [status(thm)], [zip_derived_cl76, zip_derived_cl42])).
% 5.80/1.42 thf(zip_derived_cl25, plain, (~ (LE @ (f @ z) @ 0)),
% 5.80/1.42 inference('cnf', [status(esa)], [clause_709])).
% 5.80/1.42 thf(zip_derived_cl943, plain,
% 5.80/1.42 (( (E @ 0 @ (f @ (suc @ z)))
% 5.80/1.42 | (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ z))))
% 5.80/1.42 | (E @ (s @ 0) @ (f @ (suc @ (suc @ z)))))),
% 5.80/1.42 inference('sup-', [status(thm)], [zip_derived_cl89, zip_derived_cl25])).
% 5.80/1.42 thf(zip_derived_cl1199, plain,
% 5.80/1.42 (( (E @ 0 @ (f @ (suc @ z)))
% 5.80/1.42 | (E @ (s @ 0) @ (f @ (suc @ (suc @ z))))
% 5.80/1.42 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ (suc @ z))))))),
% 5.80/1.42 inference('clc', [status(thm)], [zip_derived_cl1119, zip_derived_cl943])).
% 5.80/1.42 thf(zip_derived_cl115, plain,
% 5.80/1.42 (![X0 : $i]:
% 5.80/1.42 ( (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ X0))))
% 5.80/1.42 | (LE @ (f @ X0) @ (s @ 0))
% 5.80/1.42 | (E @ (s @ 0) @ (f @ (suc @ X0))))),
% 5.80/1.42 inference('sup-', [status(thm)], [zip_derived_cl112, zip_derived_cl33])).
% 5.80/1.42 thf(zip_derived_cl42, plain,
% 5.80/1.42 (![X0 : $i]:
% 5.80/1.42 (~ (LE @ (f @ (suc @ X0)) @ (s @ 0))
% 5.80/1.42 | (E @ 0 @ (f @ (suc @ X0)))
% 5.80/1.42 | (LE @ (f @ X0) @ 0))),
% 5.80/1.42 inference('cnf', [status(esa)], [clause_1256])).
% 5.80/1.42 thf(zip_derived_cl229, plain,
% 5.80/1.42 (![X0 : $i]:
% 5.80/1.42 ( (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 5.80/1.42 | (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 5.80/1.42 | (LE @ (f @ X0) @ 0)
% 5.80/1.42 | (E @ 0 @ (f @ (suc @ X0))))),
% 5.80/1.42 inference('sup-', [status(thm)], [zip_derived_cl115, zip_derived_cl42])).
% 5.80/1.42 thf(zip_derived_cl25, plain, (~ (LE @ (f @ z) @ 0)),
% 5.80/1.42 inference('cnf', [status(esa)], [clause_709])).
% 5.80/1.42 thf(zip_derived_cl1003, plain,
% 5.80/1.42 (( (E @ 0 @ (f @ (suc @ z)))
% 5.80/1.42 | (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ (suc @ z)))))
% 5.80/1.42 | (E @ (s @ 0) @ (f @ (suc @ (suc @ z)))))),
% 5.80/1.42 inference('sup-', [status(thm)], [zip_derived_cl229, zip_derived_cl25])).
% 5.80/1.42 thf(zip_derived_cl1200, plain,
% 5.80/1.42 (( (E @ (s @ 0) @ (f @ (suc @ (suc @ z)))) | (E @ 0 @ (f @ (suc @ z))))),
% 5.80/1.42 inference('clc', [status(thm)], [zip_derived_cl1199, zip_derived_cl1003])).
% 5.80/1.42 thf(zip_derived_cl1232, plain, ( (E @ 0 @ (f @ (suc @ z)))),
% 5.80/1.42 inference('clc', [status(thm)], [zip_derived_cl1231, zip_derived_cl1200])).
% 5.80/1.42 thf(zip_derived_cl1104, plain,
% 5.80/1.42 (![X0 : $i]:
% 5.80/1.42 (~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 5.80/1.42 | ~ (E @ (s @ (s @ 0)) @ (f @ X0))
% 5.80/1.42 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ X0)))))),
% 5.80/1.42 inference('clc', [status(thm)], [zip_derived_cl1103, zip_derived_cl1082])).
% 5.80/1.42 thf(zip_derived_cl125, plain,
% 5.80/1.42 (![X0 : $i]:
% 5.80/1.42 ( (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ (suc @ (suc @ X0))))))
% 5.80/1.42 | (LE @ (f @ X0) @ (s @ 0))
% 5.80/1.42 | (E @ (s @ 0) @ (f @ (suc @ (suc @ X0)))))),
% 5.80/1.42 inference('sup-', [status(thm)], [zip_derived_cl123, zip_derived_cl20])).
% 5.80/1.42 thf(clause_509, axiom,
% 5.80/1.42 (( ~( LE @ ( f @ B_79 ) @ ( s @ 0 ) ) ) | ( E @ 0 @ ( f @ B_79 ) ) |
% 5.80/1.42 ( LE @ ( f @ B_79 ) @ 0 ))).
% 5.80/1.42 thf(zip_derived_cl61, plain,
% 5.80/1.42 (![X0 : $i]:
% 5.80/1.42 (~ (LE @ (f @ X0) @ (s @ 0))
% 5.80/1.42 | (E @ 0 @ (f @ X0))
% 5.80/1.42 | (LE @ (f @ X0) @ 0))),
% 5.80/1.42 inference('cnf', [status(esa)], [clause_509])).
% 5.80/1.42 thf(zip_derived_cl641, plain,
% 5.80/1.42 (![X0 : $i]:
% 5.80/1.42 ( (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 5.80/1.42 | (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ (suc @ (suc @ X0))))))
% 5.80/1.42 | (LE @ (f @ X0) @ 0)
% 5.80/1.42 | (E @ 0 @ (f @ X0)))),
% 5.80/1.42 inference('sup-', [status(thm)], [zip_derived_cl125, zip_derived_cl61])).
% 5.80/1.42 thf(zip_derived_cl25, plain, (~ (LE @ (f @ z) @ 0)),
% 5.80/1.42 inference('cnf', [status(esa)], [clause_709])).
% 5.80/1.42 thf(zip_derived_cl1005, plain,
% 5.80/1.42 (( (E @ 0 @ (f @ z))
% 5.80/1.42 | (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ (suc @ (suc @ z))))))
% 5.80/1.42 | (E @ (s @ 0) @ (f @ (suc @ (suc @ z)))))),
% 5.80/1.42 inference('sup-', [status(thm)], [zip_derived_cl641, zip_derived_cl25])).
% 5.80/1.42 thf(zip_derived_cl1118, plain,
% 5.80/1.42 ((~ (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ z))))
% 5.80/1.42 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ (suc @ z)))))
% 5.80/1.42 | (E @ (s @ 0) @ (f @ (suc @ (suc @ z))))
% 5.80/1.42 | (E @ 0 @ (f @ z)))),
% 5.80/1.42 inference('sup+', [status(thm)], [zip_derived_cl1104, zip_derived_cl1005])).
% 5.80/1.42 thf(zip_derived_cl79, plain,
% 5.80/1.42 (![X0 : $i]:
% 5.80/1.42 ( (LE @ (f @ X0) @ (s @ 0))
% 5.80/1.42 | (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 5.80/1.42 | (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ X0)))))),
% 5.80/1.42 inference('sup+', [status(thm)], [zip_derived_cl20, zip_derived_cl74])).
% 5.80/1.42 thf(zip_derived_cl61, plain,
% 5.80/1.42 (![X0 : $i]:
% 5.80/1.42 (~ (LE @ (f @ X0) @ (s @ 0))
% 5.80/1.42 | (E @ 0 @ (f @ X0))
% 5.80/1.42 | (LE @ (f @ X0) @ 0))),
% 5.80/1.42 inference('cnf', [status(esa)], [clause_509])).
% 5.80/1.42 thf(zip_derived_cl249, plain,
% 5.80/1.42 (![X0 : $i]:
% 5.80/1.42 ( (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ X0))))
% 5.80/1.42 | (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 5.80/1.42 | (LE @ (f @ X0) @ 0)
% 5.80/1.42 | (E @ 0 @ (f @ X0)))),
% 5.80/1.42 inference('sup-', [status(thm)], [zip_derived_cl79, zip_derived_cl61])).
% 5.80/1.42 thf(zip_derived_cl25, plain, (~ (LE @ (f @ z) @ 0)),
% 5.80/1.42 inference('cnf', [status(esa)], [clause_709])).
% 5.80/1.42 thf(zip_derived_cl925, plain,
% 5.80/1.42 (( (E @ 0 @ (f @ z))
% 5.80/1.42 | (E @ (s @ 0) @ (f @ (suc @ (suc @ z))))
% 5.80/1.42 | (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ z)))))),
% 5.80/1.42 inference('sup-', [status(thm)], [zip_derived_cl249, zip_derived_cl25])).
% 5.80/1.42 thf(zip_derived_cl1182, plain,
% 5.80/1.42 (( (E @ 0 @ (f @ z))
% 5.80/1.42 | (E @ (s @ 0) @ (f @ (suc @ (suc @ z))))
% 5.80/1.42 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ (suc @ z))))))),
% 5.80/1.42 inference('clc', [status(thm)], [zip_derived_cl1118, zip_derived_cl925])).
% 5.80/1.42 thf(zip_derived_cl114, plain,
% 5.80/1.42 (![X0 : $i]:
% 5.80/1.42 ( (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 5.80/1.42 | (LE @ (f @ X0) @ (s @ 0))
% 5.80/1.42 | (E @ (s @ 0) @ (f @ (suc @ (suc @ X0)))))),
% 5.80/1.42 inference('sup-', [status(thm)], [zip_derived_cl112, zip_derived_cl20])).
% 5.80/1.42 thf(zip_derived_cl61, plain,
% 5.80/1.42 (![X0 : $i]:
% 5.80/1.42 (~ (LE @ (f @ X0) @ (s @ 0))
% 5.80/1.42 | (E @ 0 @ (f @ X0))
% 5.80/1.42 | (LE @ (f @ X0) @ 0))),
% 5.80/1.42 inference('cnf', [status(esa)], [clause_509])).
% 5.80/1.42 thf(zip_derived_cl439, plain,
% 5.80/1.42 (![X0 : $i]:
% 5.80/1.42 ( (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 5.80/1.42 | (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 5.80/1.42 | (LE @ (f @ X0) @ 0)
% 5.80/1.42 | (E @ 0 @ (f @ X0)))),
% 5.80/1.42 inference('sup-', [status(thm)], [zip_derived_cl114, zip_derived_cl61])).
% 5.80/1.42 thf(zip_derived_cl25, plain, (~ (LE @ (f @ z) @ 0)),
% 5.80/1.42 inference('cnf', [status(esa)], [clause_709])).
% 5.80/1.42 thf(zip_derived_cl996, plain,
% 5.80/1.42 (( (E @ 0 @ (f @ z))
% 5.80/1.42 | (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ (suc @ z)))))
% 5.80/1.42 | (E @ (s @ 0) @ (f @ (suc @ (suc @ z)))))),
% 5.80/1.42 inference('sup-', [status(thm)], [zip_derived_cl439, zip_derived_cl25])).
% 5.80/1.42 thf(zip_derived_cl1183, plain,
% 5.80/1.42 (( (E @ (s @ 0) @ (f @ (suc @ (suc @ z)))) | (E @ 0 @ (f @ z)))),
% 5.80/1.42 inference('clc', [status(thm)], [zip_derived_cl1182, zip_derived_cl996])).
% 5.80/1.42 thf(zip_derived_cl1066, plain,
% 5.80/1.42 (![X0 : $i]:
% 5.80/1.42 (~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 5.80/1.42 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 5.80/1.42 | ~ (E @ (s @ 0) @ (f @ X0)))),
% 5.80/1.42 inference('clc', [status(thm)], [zip_derived_cl1065, zip_derived_cl1035])).
% 5.80/1.42 thf(zip_derived_cl1184, plain,
% 5.80/1.42 (( (E @ 0 @ (f @ z))
% 5.80/1.42 | ~ (E @ (s @ 0) @ (f @ z))
% 5.80/1.42 | ~ (E @ (s @ 0) @ (f @ (suc @ z))))),
% 5.80/1.42 inference('sup-', [status(thm)], [zip_derived_cl1183, zip_derived_cl1066])).
% 5.80/1.42 thf(zip_derived_cl1104, plain,
% 5.80/1.42 (![X0 : $i]:
% 5.80/1.42 (~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 5.80/1.42 | ~ (E @ (s @ (s @ 0)) @ (f @ X0))
% 5.80/1.42 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ X0)))))),
% 5.80/1.42 inference('clc', [status(thm)], [zip_derived_cl1103, zip_derived_cl1082])).
% 5.80/1.42 thf(zip_derived_cl124, plain,
% 5.80/1.42 (![X0 : $i]:
% 5.80/1.42 ( (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ X0))))
% 5.80/1.42 | (LE @ (f @ X0) @ (s @ 0))
% 5.80/1.42 | (E @ (s @ 0) @ (f @ X0)))),
% 5.80/1.42 inference('sup-', [status(thm)], [zip_derived_cl123, zip_derived_cl17])).
% 5.80/1.42 thf(zip_derived_cl61, plain,
% 5.80/1.42 (![X0 : $i]:
% 5.80/1.42 (~ (LE @ (f @ X0) @ (s @ 0))
% 5.80/1.42 | (E @ 0 @ (f @ X0))
% 5.80/1.42 | (LE @ (f @ X0) @ 0))),
% 5.80/1.42 inference('cnf', [status(esa)], [clause_509])).
% 5.80/1.42 thf(zip_derived_cl150, plain,
% 5.80/1.42 (![X0 : $i]:
% 5.80/1.42 ( (E @ (s @ 0) @ (f @ X0))
% 5.80/1.42 | (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ X0))))
% 5.80/1.42 | (LE @ (f @ X0) @ 0)
% 5.80/1.42 | (E @ 0 @ (f @ X0)))),
% 5.80/1.42 inference('sup-', [status(thm)], [zip_derived_cl124, zip_derived_cl61])).
% 5.80/1.42 thf(zip_derived_cl25, plain, (~ (LE @ (f @ z) @ 0)),
% 5.80/1.42 inference('cnf', [status(esa)], [clause_709])).
% 5.80/1.42 thf(zip_derived_cl543, plain,
% 5.80/1.42 (( (E @ 0 @ (f @ z))
% 5.80/1.42 | (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ z))))
% 5.80/1.42 | (E @ (s @ 0) @ (f @ z)))),
% 5.80/1.42 inference('sup-', [status(thm)], [zip_derived_cl150, zip_derived_cl25])).
% 5.80/1.42 thf(zip_derived_cl1105, plain,
% 5.80/1.42 ((~ (E @ (s @ (s @ 0)) @ (f @ z))
% 5.80/1.42 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ z)))
% 5.80/1.42 | (E @ (s @ 0) @ (f @ z))
% 5.80/1.42 | (E @ 0 @ (f @ z)))),
% 5.80/1.42 inference('sup+', [status(thm)], [zip_derived_cl1104, zip_derived_cl543])).
% 5.80/1.42 thf(zip_derived_cl75, plain,
% 5.80/1.42 (![X0 : $i]:
% 5.80/1.42 ( (E @ (s @ (s @ 0)) @ (f @ X0))
% 5.80/1.42 | (LE @ (f @ X0) @ (s @ 0))
% 5.80/1.42 | (E @ (s @ 0) @ (f @ X0)))),
% 5.80/1.42 inference('sup-', [status(thm)], [zip_derived_cl74, zip_derived_cl17])).
% 5.80/1.42 thf(zip_derived_cl61, plain,
% 5.80/1.42 (![X0 : $i]:
% 5.80/1.42 (~ (LE @ (f @ X0) @ (s @ 0))
% 5.80/1.42 | (E @ 0 @ (f @ X0))
% 5.80/1.42 | (LE @ (f @ X0) @ 0))),
% 5.80/1.42 inference('cnf', [status(esa)], [clause_509])).
% 5.80/1.42 thf(zip_derived_cl81, plain,
% 5.80/1.42 (![X0 : $i]:
% 5.80/1.42 ( (E @ (s @ 0) @ (f @ X0))
% 5.80/1.42 | (E @ (s @ (s @ 0)) @ (f @ X0))
% 5.80/1.42 | (LE @ (f @ X0) @ 0)
% 5.80/1.42 | (E @ 0 @ (f @ X0)))),
% 5.80/1.42 inference('sup-', [status(thm)], [zip_derived_cl75, zip_derived_cl61])).
% 5.80/1.42 thf(zip_derived_cl25, plain, (~ (LE @ (f @ z) @ 0)),
% 5.80/1.42 inference('cnf', [status(esa)], [clause_709])).
% 5.80/1.42 thf(zip_derived_cl101, plain,
% 5.80/1.42 (( (E @ 0 @ (f @ z))
% 5.80/1.42 | (E @ (s @ (s @ 0)) @ (f @ z))
% 5.80/1.42 | (E @ (s @ 0) @ (f @ z)))),
% 5.80/1.42 inference('sup-', [status(thm)], [zip_derived_cl81, zip_derived_cl25])).
% 5.80/1.42 thf(zip_derived_cl1153, plain,
% 5.80/1.42 (( (E @ 0 @ (f @ z))
% 5.80/1.42 | (E @ (s @ 0) @ (f @ z))
% 5.80/1.42 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ z))))),
% 5.80/1.42 inference('clc', [status(thm)], [zip_derived_cl1105, zip_derived_cl101])).
% 5.80/1.42 thf(zip_derived_cl113, plain,
% 5.80/1.42 (![X0 : $i]:
% 5.80/1.42 ( (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 5.80/1.42 | (LE @ (f @ X0) @ (s @ 0))
% 5.80/1.42 | (E @ (s @ 0) @ (f @ X0)))),
% 5.80/1.42 inference('sup-', [status(thm)], [zip_derived_cl112, zip_derived_cl17])).
% 5.80/1.42 thf(zip_derived_cl61, plain,
% 5.80/1.42 (![X0 : $i]:
% 5.80/1.42 (~ (LE @ (f @ X0) @ (s @ 0))
% 5.80/1.42 | (E @ 0 @ (f @ X0))
% 5.80/1.42 | (LE @ (f @ X0) @ 0))),
% 5.80/1.42 inference('cnf', [status(esa)], [clause_509])).
% 5.80/1.42 thf(zip_derived_cl130, plain,
% 5.80/1.42 (![X0 : $i]:
% 5.80/1.42 ( (E @ (s @ 0) @ (f @ X0))
% 5.80/1.42 | (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 5.80/1.42 | (LE @ (f @ X0) @ 0)
% 5.80/1.42 | (E @ 0 @ (f @ X0)))),
% 5.80/1.42 inference('sup-', [status(thm)], [zip_derived_cl113, zip_derived_cl61])).
% 5.80/1.42 thf(zip_derived_cl25, plain, (~ (LE @ (f @ z) @ 0)),
% 5.80/1.42 inference('cnf', [status(esa)], [clause_709])).
% 5.80/1.42 thf(zip_derived_cl341, plain,
% 5.80/1.42 (( (E @ 0 @ (f @ z))
% 5.80/1.42 | (E @ (s @ (s @ 0)) @ (f @ (suc @ z)))
% 5.80/1.42 | (E @ (s @ 0) @ (f @ z)))),
% 5.80/1.42 inference('sup-', [status(thm)], [zip_derived_cl130, zip_derived_cl25])).
% 5.80/1.42 thf(zip_derived_cl1154, plain,
% 5.80/1.42 (( (E @ (s @ 0) @ (f @ z)) | (E @ 0 @ (f @ z)))),
% 5.80/1.42 inference('clc', [status(thm)], [zip_derived_cl1153, zip_derived_cl341])).
% 5.80/1.42 thf(zip_derived_cl1186, plain,
% 5.80/1.42 ((~ (E @ (s @ 0) @ (f @ (suc @ z))) | (E @ 0 @ (f @ z)))),
% 5.80/1.42 inference('clc', [status(thm)], [zip_derived_cl1184, zip_derived_cl1154])).
% 5.80/1.42 thf(zip_derived_cl1104, plain,
% 5.80/1.42 (![X0 : $i]:
% 5.80/1.42 (~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 5.80/1.42 | ~ (E @ (s @ (s @ 0)) @ (f @ X0))
% 5.80/1.42 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ X0)))))),
% 5.80/1.42 inference('clc', [status(thm)], [zip_derived_cl1103, zip_derived_cl1082])).
% 5.80/1.42 thf(zip_derived_cl126, plain,
% 5.80/1.42 (![X0 : $i]:
% 5.80/1.42 ( (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 5.80/1.42 | (LE @ (f @ X0) @ (s @ 0))
% 5.80/1.42 | (E @ (s @ 0) @ (f @ (suc @ X0))))),
% 5.80/1.42 inference('sup-', [status(thm)], [zip_derived_cl123, zip_derived_cl33])).
% 5.80/1.42 thf(zip_derived_cl61, plain,
% 5.80/1.42 (![X0 : $i]:
% 5.80/1.42 (~ (LE @ (f @ X0) @ (s @ 0))
% 5.80/1.42 | (E @ 0 @ (f @ X0))
% 5.80/1.42 | (LE @ (f @ X0) @ 0))),
% 5.80/1.42 inference('cnf', [status(esa)], [clause_509])).
% 5.80/1.42 thf(zip_derived_cl335, plain,
% 5.80/1.42 (![X0 : $i]:
% 5.80/1.42 ( (E @ (s @ 0) @ (f @ (suc @ X0)))
% 5.80/1.42 | (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 5.80/1.42 | (LE @ (f @ X0) @ 0)
% 5.80/1.42 | (E @ 0 @ (f @ X0)))),
% 5.80/1.42 inference('sup-', [status(thm)], [zip_derived_cl126, zip_derived_cl61])).
% 5.80/1.42 thf(zip_derived_cl25, plain, (~ (LE @ (f @ z) @ 0)),
% 5.80/1.42 inference('cnf', [status(esa)], [clause_709])).
% 5.80/1.42 thf(zip_derived_cl941, plain,
% 5.80/1.42 (( (E @ 0 @ (f @ z))
% 5.80/1.42 | (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ (suc @ z)))))
% 5.80/1.42 | (E @ (s @ 0) @ (f @ (suc @ z))))),
% 5.80/1.42 inference('sup-', [status(thm)], [zip_derived_cl335, zip_derived_cl25])).
% 5.80/1.42 thf(zip_derived_cl1111, plain,
% 5.80/1.42 ((~ (E @ (s @ (s @ 0)) @ (f @ (suc @ z)))
% 5.80/1.42 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ z))))
% 5.80/1.42 | (E @ (s @ 0) @ (f @ (suc @ z)))
% 5.80/1.42 | (E @ 0 @ (f @ z)))),
% 5.80/1.42 inference('sup+', [status(thm)], [zip_derived_cl1104, zip_derived_cl941])).
% 5.80/1.42 thf(zip_derived_cl76, plain,
% 5.80/1.42 (![X0 : $i]:
% 5.80/1.42 ( (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 5.80/1.42 | (LE @ (f @ X0) @ (s @ 0))
% 5.80/1.42 | (E @ (s @ 0) @ (f @ (suc @ X0))))),
% 5.80/1.42 inference('sup-', [status(thm)], [zip_derived_cl74, zip_derived_cl33])).
% 5.80/1.42 thf(zip_derived_cl61, plain,
% 5.80/1.42 (![X0 : $i]:
% 5.80/1.42 (~ (LE @ (f @ X0) @ (s @ 0))
% 5.80/1.42 | (E @ 0 @ (f @ X0))
% 5.80/1.42 | (LE @ (f @ X0) @ 0))),
% 5.80/1.42 inference('cnf', [status(esa)], [clause_509])).
% 5.80/1.42 thf(zip_derived_cl87, plain,
% 5.80/1.42 (![X0 : $i]:
% 5.80/1.42 ( (E @ (s @ 0) @ (f @ (suc @ X0)))
% 5.80/1.42 | (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 5.80/1.42 | (LE @ (f @ X0) @ 0)
% 5.80/1.42 | (E @ 0 @ (f @ X0)))),
% 5.80/1.42 inference('sup-', [status(thm)], [zip_derived_cl76, zip_derived_cl61])).
% 5.80/1.42 thf(zip_derived_cl25, plain, (~ (LE @ (f @ z) @ 0)),
% 5.80/1.42 inference('cnf', [status(esa)], [clause_709])).
% 5.80/1.42 thf(zip_derived_cl461, plain,
% 5.80/1.42 (( (E @ 0 @ (f @ z))
% 5.80/1.42 | (E @ (s @ (s @ 0)) @ (f @ (suc @ z)))
% 5.80/1.42 | (E @ (s @ 0) @ (f @ (suc @ z))))),
% 5.80/1.42 inference('sup-', [status(thm)], [zip_derived_cl87, zip_derived_cl25])).
% 5.80/1.42 thf(zip_derived_cl1166, plain,
% 5.80/1.42 (( (E @ 0 @ (f @ z))
% 5.80/1.42 | (E @ (s @ 0) @ (f @ (suc @ z)))
% 5.80/1.42 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ z)))))),
% 5.80/1.42 inference('clc', [status(thm)], [zip_derived_cl1111, zip_derived_cl461])).
% 5.80/1.42 thf(zip_derived_cl115, plain,
% 5.80/1.42 (![X0 : $i]:
% 5.80/1.42 ( (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ X0))))
% 5.80/1.42 | (LE @ (f @ X0) @ (s @ 0))
% 5.80/1.42 | (E @ (s @ 0) @ (f @ (suc @ X0))))),
% 5.80/1.42 inference('sup-', [status(thm)], [zip_derived_cl112, zip_derived_cl33])).
% 5.80/1.42 thf(zip_derived_cl61, plain,
% 5.80/1.42 (![X0 : $i]:
% 5.80/1.42 (~ (LE @ (f @ X0) @ (s @ 0))
% 5.80/1.42 | (E @ 0 @ (f @ X0))
% 5.80/1.42 | (LE @ (f @ X0) @ 0))),
% 5.80/1.42 inference('cnf', [status(esa)], [clause_509])).
% 5.80/1.42 thf(zip_derived_cl227, plain,
% 5.80/1.42 (![X0 : $i]:
% 5.80/1.42 ( (E @ (s @ 0) @ (f @ (suc @ X0)))
% 5.80/1.42 | (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ X0))))
% 5.80/1.42 | (LE @ (f @ X0) @ 0)
% 5.80/1.42 | (E @ 0 @ (f @ X0)))),
% 5.80/1.42 inference('sup-', [status(thm)], [zip_derived_cl115, zip_derived_cl61])).
% 5.80/1.42 thf(zip_derived_cl25, plain, (~ (LE @ (f @ z) @ 0)),
% 5.80/1.42 inference('cnf', [status(esa)], [clause_709])).
% 5.80/1.42 thf(zip_derived_cl745, plain,
% 5.80/1.42 (( (E @ 0 @ (f @ z))
% 5.80/1.42 | (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ z))))
% 5.80/1.42 | (E @ (s @ 0) @ (f @ (suc @ z))))),
% 5.80/1.42 inference('sup-', [status(thm)], [zip_derived_cl227, zip_derived_cl25])).
% 5.80/1.42 thf(zip_derived_cl1167, plain,
% 5.80/1.42 (( (E @ (s @ 0) @ (f @ (suc @ z))) | (E @ 0 @ (f @ z)))),
% 5.80/1.42 inference('clc', [status(thm)], [zip_derived_cl1166, zip_derived_cl745])).
% 5.80/1.42 thf(zip_derived_cl1187, plain, ( (E @ 0 @ (f @ z))),
% 5.80/1.42 inference('clc', [status(thm)], [zip_derived_cl1186, zip_derived_cl1167])).
% 5.80/1.42 thf(zip_derived_cl1257, plain, ($false),
% 5.80/1.42 inference('demod', [status(thm)],
% 5.80/1.42 [zip_derived_cl1256, zip_derived_cl1232, zip_derived_cl1187])).
% 5.80/1.42
% 5.80/1.42 % SZS output end Refutation
% 5.80/1.42
% 5.80/1.42
% 5.80/1.42 % /export/starexec/sandbox/solver/bin/fo/fo17_bce.sh running for 50s
% 5.80/1.42 % Terminating...
% 5.80/1.49 % Runner terminated.
% 5.80/1.50 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------