%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYO689-1 : TPTP v9.2.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.zvMzbgYToD true
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Oct 2 05:08:09 PM UTC 2025
% Result : Unsatisfiable 4.83s 1.25s
% Output : Refutation 4.83s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : SYO689-1 : TPTP v9.2.0. Released v7.3.0.
% 0.10/0.12 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.zvMzbgYToD true
% 0.11/0.33 % Computer : n013.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Wed Oct 1 17:51:38 EDT 2025
% 0.11/0.33 % CPUTime :
% 0.11/0.33 % Running portfolio for 300 s
% 0.11/0.33 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.33 % Number of cores: 8
% 0.11/0.33 % Python version: Python 3.6.8
% 0.11/0.33 % Running in FO mode
% 0.18/0.59 % Total configuration time : 435
% 0.18/0.59 % Estimated wc time : 1092
% 0.18/0.59 % Estimated cpu time (7 cpus) : 156.0
% 0.62/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.62/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.62/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.62/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.62/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.62/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.62/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 4.83/1.24 % /export/starexec/sandbox2/solver/bin/fo/fo1_lcnf.sh running for 50s
% 4.83/1.25 % Solved by fo/fo5.sh.
% 4.83/1.25 % done 253 iterations in 0.498s
% 4.83/1.25 % SZS status Unsatisfiable for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 4.83/1.25 % SZS output start Refutation
% 4.83/1.25 thf(f_type, type, f: $i > $i).
% 4.83/1.25 thf(0_type, type, 0: $i).
% 4.83/1.25 thf(suc_type, type, suc: $i > $i).
% 4.83/1.25 thf(s_type, type, s: $i > $i).
% 4.83/1.25 thf(z_type, type, z: $i).
% 4.83/1.25 thf(E_type, type, E: $i > $i > $o).
% 4.83/1.25 thf(LE_type, type, LE: $i > $i > $o).
% 4.83/1.25 thf(iLEQ_type, type, iLEQ: $i > $i > $o).
% 4.83/1.25 thf(clause_1092, axiom, (~( LE @ ( f @ z ) @ 0 ))).
% 4.83/1.25 thf(zip_derived_cl10, plain, (~ (LE @ (f @ z) @ 0)),
% 4.83/1.25 inference('cnf', [status(esa)], [clause_1092])).
% 4.83/1.25 thf(clause_113, axiom,
% 4.83/1.25 (( ~( LE @ ( f @ ( suc @ B_1161 ) ) @ ( s @ 0 ) ) ) |
% 4.83/1.25 ( E @ 0 @ ( f @ ( suc @ B_1161 ) ) ) | ( LE @ ( f @ B_1161 ) @ 0 ))).
% 4.83/1.25 thf(zip_derived_cl21, plain,
% 4.83/1.25 (![X0 : $i]:
% 4.83/1.25 (~ (LE @ (f @ (suc @ X0)) @ (s @ 0))
% 4.83/1.25 | (E @ 0 @ (f @ (suc @ X0)))
% 4.83/1.25 | (LE @ (f @ X0) @ 0))),
% 4.83/1.25 inference('cnf', [status(esa)], [clause_113])).
% 4.83/1.25 thf(clause_1440, axiom,
% 4.83/1.25 (( ~( LE @ ( f @ ( suc @ B_1136 ) ) @ ( s @ ( s @ 0 ) ) ) ) |
% 4.83/1.25 ( E @ ( s @ 0 ) @ ( f @ ( suc @ B_1136 ) ) ) |
% 4.83/1.25 ( LE @ ( f @ B_1136 ) @ ( s @ 0 ) ))).
% 4.83/1.25 thf(zip_derived_cl18, plain,
% 4.83/1.25 (![X0 : $i]:
% 4.83/1.25 (~ (LE @ (f @ (suc @ X0)) @ (s @ (s @ 0)))
% 4.83/1.25 | (E @ (s @ 0) @ (f @ (suc @ X0)))
% 4.83/1.25 | (LE @ (f @ X0) @ (s @ 0)))),
% 4.83/1.25 inference('cnf', [status(esa)], [clause_1440])).
% 4.83/1.25 thf(clause_388, axiom,
% 4.83/1.25 (( ~( LE @ ( f @ ( suc @ B_1066 ) ) @ ( s @ ( s @ ( s @ 0 ) ) ) ) ) |
% 4.83/1.25 ( E @ ( s @ ( s @ 0 ) ) @ ( f @ ( suc @ B_1066 ) ) ) |
% 4.83/1.25 ( LE @ ( f @ B_1066 ) @ ( s @ ( s @ 0 ) ) ))).
% 4.83/1.25 thf(zip_derived_cl5, plain,
% 4.83/1.25 (![X0 : $i]:
% 4.83/1.25 (~ (LE @ (f @ (suc @ X0)) @ (s @ (s @ (s @ 0))))
% 4.83/1.25 | (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 4.83/1.25 | (LE @ (f @ X0) @ (s @ (s @ 0))))),
% 4.83/1.25 inference('cnf', [status(esa)], [clause_388])).
% 4.83/1.25 thf(clause_1935, axiom,
% 4.83/1.25 (( ~( LE @ ( f @ ( suc @ B_906 ) ) @ ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) ) ) |
% 4.83/1.25 ( E @ ( s @ ( s @ ( s @ 0 ) ) ) @ ( f @ ( suc @ B_906 ) ) ) |
% 4.83/1.25 ( LE @ ( f @ B_906 ) @ ( s @ ( s @ ( s @ 0 ) ) ) ))).
% 4.83/1.25 thf(zip_derived_cl15, plain,
% 4.83/1.25 (![X0 : $i]:
% 4.83/1.25 (~ (LE @ (f @ (suc @ X0)) @ (s @ (s @ (s @ (s @ 0)))))
% 4.83/1.25 | (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ X0)))
% 4.83/1.25 | (LE @ (f @ X0) @ (s @ (s @ (s @ 0)))))),
% 4.83/1.25 inference('cnf', [status(esa)], [clause_1935])).
% 4.83/1.25 thf(clause_2050, axiom,
% 4.83/1.25 (( ~( LE @
% 4.83/1.25 ( f @ ( suc @ B_585 ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) ) ) ) |
% 4.83/1.25 ( E @ ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) @ ( f @ ( suc @ B_585 ) ) ) |
% 4.83/1.25 ( LE @ ( f @ B_585 ) @ ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) ))).
% 4.83/1.25 thf(zip_derived_cl19, plain,
% 4.83/1.25 (![X0 : $i]:
% 4.83/1.25 (~ (LE @ (f @ (suc @ X0)) @ (s @ (s @ (s @ (s @ (s @ 0))))))
% 4.83/1.25 | (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ (suc @ X0)))
% 4.83/1.25 | (LE @ (f @ X0) @ (s @ (s @ (s @ (s @ 0))))))),
% 4.83/1.25 inference('cnf', [status(esa)], [clause_2050])).
% 4.83/1.25 thf(clause_583, axiom,
% 4.83/1.25 (LE @ ( f @ A ) @ ( s @ ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) ))).
% 4.83/1.25 thf(zip_derived_cl3, plain,
% 4.83/1.25 (![X0 : $i]: (LE @ (f @ X0) @ (s @ (s @ (s @ (s @ (s @ 0))))))),
% 4.83/1.25 inference('cnf', [status(esa)], [clause_583])).
% 4.83/1.25 thf(zip_derived_cl27, plain,
% 4.83/1.25 (![X0 : $i]:
% 4.83/1.25 ( (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ (suc @ X0)))
% 4.83/1.25 | (LE @ (f @ X0) @ (s @ (s @ (s @ (s @ 0))))))),
% 4.83/1.25 inference('demod', [status(thm)], [zip_derived_cl19, zip_derived_cl3])).
% 4.83/1.25 thf(clause_1514, axiom,
% 4.83/1.25 (( ~( E @ ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) @ ( f @ B_588 ) ) ) |
% 4.83/1.25 ( ~( E @ ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) @ ( f @ ( suc @ B_588 ) ) ) ) |
% 4.83/1.25 ( ~( iLEQ @ ( suc @ B_586 ) @ ( suc @ B_587 ) ) ) |
% 4.83/1.25 ( ~( iLEQ @ ( suc @ B_588 ) @ ( suc @ B_589 ) ) ) |
% 4.83/1.25 ( ~( E @ ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) @ ( f @ ( suc @ B_587 ) ) ) ) |
% 4.83/1.25 ( ~( E @ ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) @ ( f @ B_589 ) ) ) |
% 4.83/1.25 ( ~( E @ ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) @ ( f @ B_590 ) ) ) |
% 4.83/1.25 ( ~( iLEQ @ ( suc @ B_587 ) @ ( suc @ B_588 ) ) ) |
% 4.83/1.25 ( ~( E @ ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) @ ( f @ B_586 ) ) ) |
% 4.83/1.25 ( ~( iLEQ @ ( suc @ B_589 ) @ ( suc @ B_590 ) ) ) |
% 4.83/1.25 ( ~( E @ ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) @ ( f @ ( suc @ B_590 ) ) ) ) |
% 4.83/1.25 ( ~( E @ ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) @ ( f @ ( suc @ A_1 ) ) ) ) |
% 4.83/1.25 ( ~( iLEQ @ ( suc @ A_1 ) @ ( suc @ B_586 ) ) ) |
% 4.83/1.25 ( ~( E @ ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) @ ( f @ ( suc @ B_586 ) ) ) ) |
% 4.83/1.25 ( ~( E @ ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) @ ( f @ A_1 ) ) ) |
% 4.83/1.25 ( ~( E @ ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) @ ( f @ ( suc @ B_589 ) ) ) ) |
% 4.83/1.25 ( ~( E @ ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) @ ( f @ B_587 ) ) ))).
% 4.83/1.25 thf(zip_derived_cl13, plain,
% 4.83/1.25 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 4.83/1.25 (~ (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ X0))
% 4.83/1.25 | ~ (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ (suc @ X0)))
% 4.83/1.25 | ~ (iLEQ @ (suc @ X1) @ (suc @ X2))
% 4.83/1.25 | ~ (iLEQ @ (suc @ X0) @ (suc @ X3))
% 4.83/1.25 | ~ (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ (suc @ X2)))
% 4.83/1.25 | ~ (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ X3))
% 4.83/1.25 | ~ (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ X4))
% 4.83/1.25 | ~ (iLEQ @ (suc @ X2) @ (suc @ X0))
% 4.83/1.25 | ~ (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ X1))
% 4.83/1.25 | ~ (iLEQ @ (suc @ X3) @ (suc @ X4))
% 4.83/1.25 | ~ (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ (suc @ X4)))
% 4.83/1.25 | ~ (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ (suc @ X5)))
% 4.83/1.25 | ~ (iLEQ @ (suc @ X5) @ (suc @ X1))
% 4.83/1.25 | ~ (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ (suc @ X1)))
% 4.83/1.25 | ~ (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ X5))
% 4.83/1.25 | ~ (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ (suc @ X3)))
% 4.83/1.25 | ~ (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ X2)))),
% 4.83/1.25 inference('cnf', [status(esa)], [clause_1514])).
% 4.83/1.25 thf(zip_derived_cl72, plain,
% 4.83/1.25 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 4.83/1.25 (~ (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ X0))
% 4.83/1.25 | ~ (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ (suc @ X1)))
% 4.83/1.25 | ~ (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ X2))
% 4.83/1.25 | ~ (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ (suc @ X3)))
% 4.83/1.25 | ~ (iLEQ @ (suc @ X2) @ (suc @ X3))
% 4.83/1.25 | ~ (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ (suc @ X2)))
% 4.83/1.25 | ~ (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ (suc @ X4)))
% 4.83/1.25 | ~ (iLEQ @ (suc @ X1) @ (suc @ X4))
% 4.83/1.25 | ~ (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ X3))
% 4.83/1.25 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 4.83/1.25 | ~ (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ X4))
% 4.83/1.25 | ~ (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ X1))
% 4.83/1.25 | ~ (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ (suc @ X0)))
% 4.83/1.25 | ~ (iLEQ @ (suc @ X0) @ (suc @ X1))
% 4.83/1.25 | ~ (iLEQ @ (suc @ X3) @ (suc @ X0))
% 4.83/1.25 | ~ (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ X0)))),
% 4.83/1.25 inference('eq_fact', [status(thm)], [zip_derived_cl13])).
% 4.83/1.25 thf(zip_derived_cl77, plain,
% 4.83/1.25 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 4.83/1.25 (~ (iLEQ @ (suc @ X3) @ (suc @ X0))
% 4.83/1.25 | ~ (iLEQ @ (suc @ X0) @ (suc @ X1))
% 4.83/1.25 | ~ (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ (suc @ X0)))
% 4.83/1.25 | ~ (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ X1))
% 4.83/1.25 | ~ (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ X4))
% 4.83/1.25 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 4.83/1.25 | ~ (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ X3))
% 4.83/1.25 | ~ (iLEQ @ (suc @ X1) @ (suc @ X4))
% 4.83/1.25 | ~ (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ (suc @ X4)))
% 4.83/1.25 | ~ (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ (suc @ X2)))
% 4.83/1.25 | ~ (iLEQ @ (suc @ X2) @ (suc @ X3))
% 4.83/1.25 | ~ (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ (suc @ X3)))
% 4.83/1.25 | ~ (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ X2))
% 4.83/1.25 | ~ (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ (suc @ X1)))
% 4.83/1.25 | ~ (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ X0)))),
% 4.83/1.25 inference('simplify', [status(thm)], [zip_derived_cl72])).
% 4.83/1.25 thf(zip_derived_cl674, plain,
% 4.83/1.25 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 4.83/1.25 (~ (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ X0))
% 4.83/1.25 | ~ (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ (suc @ X1)))
% 4.83/1.25 | ~ (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ X2))
% 4.83/1.25 | ~ (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ (suc @ X0)))
% 4.83/1.25 | ~ (iLEQ @ (suc @ X2) @ (suc @ X0))
% 4.83/1.25 | ~ (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ (suc @ X2)))
% 4.83/1.25 | ~ (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ (suc @ X3)))
% 4.83/1.25 | ~ (iLEQ @ (suc @ X1) @ (suc @ X3))
% 4.83/1.25 | ~ (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ X0))
% 4.83/1.25 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 4.83/1.25 | ~ (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ X3))
% 4.83/1.25 | ~ (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ X1))
% 4.83/1.25 | ~ (iLEQ @ (suc @ X0) @ (suc @ X1))
% 4.83/1.25 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 4.83/1.25 inference('eq_fact', [status(thm)], [zip_derived_cl77])).
% 4.83/1.25 thf(zip_derived_cl678, plain,
% 4.83/1.25 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 4.83/1.25 (~ (iLEQ @ (suc @ X0) @ (suc @ X1))
% 4.83/1.25 | ~ (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ X1))
% 4.83/1.25 | ~ (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ X3))
% 4.83/1.25 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 4.83/1.25 | ~ (iLEQ @ (suc @ X1) @ (suc @ X3))
% 4.83/1.25 | ~ (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ (suc @ X3)))
% 4.83/1.25 | ~ (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ (suc @ X2)))
% 4.83/1.25 | ~ (iLEQ @ (suc @ X2) @ (suc @ X0))
% 4.83/1.25 | ~ (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ (suc @ X0)))
% 4.83/1.25 | ~ (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ X2))
% 4.83/1.25 | ~ (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ (suc @ X1)))
% 4.83/1.25 | ~ (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ X0)))),
% 4.83/1.25 inference('simplify', [status(thm)], [zip_derived_cl674])).
% 4.83/1.25 thf(zip_derived_cl682, plain,
% 4.83/1.25 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.83/1.25 (~ (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ X1))
% 4.83/1.25 | ~ (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ (suc @ X2)))
% 4.83/1.25 | ~ (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ X0))
% 4.83/1.25 | ~ (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ (suc @ X1)))
% 4.83/1.25 | ~ (iLEQ @ (suc @ X0) @ (suc @ X1))
% 4.83/1.25 | ~ (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ (suc @ X0)))
% 4.83/1.25 | ~ (iLEQ @ (suc @ X2) @ (suc @ X0))
% 4.83/1.25 | ~ (iLEQ @ (suc @ X1) @ (suc @ X1))
% 4.83/1.25 | ~ (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ X0))
% 4.83/1.25 | ~ (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ X2))
% 4.83/1.25 | ~ (iLEQ @ (suc @ X1) @ (suc @ X2)))),
% 4.83/1.25 inference('eq_fact', [status(thm)], [zip_derived_cl678])).
% 4.83/1.25 thf(zip_derived_cl685, plain,
% 4.83/1.25 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.83/1.25 (~ (iLEQ @ (suc @ X1) @ (suc @ X2))
% 4.83/1.25 | ~ (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ X2))
% 4.83/1.25 | ~ (iLEQ @ (suc @ X1) @ (suc @ X1))
% 4.83/1.25 | ~ (iLEQ @ (suc @ X2) @ (suc @ X0))
% 4.83/1.25 | ~ (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ (suc @ X0)))
% 4.83/1.25 | ~ (iLEQ @ (suc @ X0) @ (suc @ X1))
% 4.83/1.25 | ~ (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ (suc @ X1)))
% 4.83/1.25 | ~ (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ X0))
% 4.83/1.25 | ~ (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ (suc @ X2)))
% 4.83/1.25 | ~ (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ X1)))),
% 4.83/1.25 inference('simplify', [status(thm)], [zip_derived_cl682])).
% 4.83/1.25 thf(zip_derived_cl690, plain,
% 4.83/1.25 (![X0 : $i, X1 : $i]:
% 4.83/1.25 (~ (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ X0))
% 4.83/1.25 | ~ (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ (suc @ X1)))
% 4.83/1.25 | ~ (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ X0))
% 4.83/1.25 | ~ (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ (suc @ X0)))
% 4.83/1.25 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 4.83/1.25 | ~ (iLEQ @ (suc @ X1) @ (suc @ X0))
% 4.83/1.25 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 4.83/1.25 | ~ (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ X1))
% 4.83/1.25 | ~ (iLEQ @ (suc @ X0) @ (suc @ X1)))),
% 4.83/1.25 inference('eq_fact', [status(thm)], [zip_derived_cl685])).
% 4.83/1.25 thf(zip_derived_cl692, plain,
% 4.83/1.25 (![X0 : $i, X1 : $i]:
% 4.83/1.25 (~ (iLEQ @ (suc @ X0) @ (suc @ X1))
% 4.83/1.25 | ~ (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ X1))
% 4.83/1.25 | ~ (iLEQ @ (suc @ X1) @ (suc @ X0))
% 4.83/1.25 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 4.83/1.25 | ~ (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ (suc @ X0)))
% 4.83/1.25 | ~ (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ (suc @ X1)))
% 4.83/1.25 | ~ (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ X0)))),
% 4.83/1.25 inference('simplify', [status(thm)], [zip_derived_cl690])).
% 4.83/1.25 thf(clause_1581, axiom,
% 4.83/1.25 (( ~( E @ ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) @ ( f @ A_1 ) ) ) |
% 4.83/1.25 ( ~( E @ ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) @ ( f @ ( suc @ A_1 ) ) ) ) |
% 4.83/1.25 ( iLEQ @ ( suc @ A_1 ) @ ( suc @ A_1 ) ))).
% 4.83/1.25 thf(zip_derived_cl0, plain,
% 4.83/1.25 (![X0 : $i]:
% 4.83/1.25 (~ (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ X0))
% 4.83/1.25 | ~ (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ (suc @ X0)))
% 4.83/1.25 | (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 4.83/1.25 inference('cnf', [status(esa)], [clause_1581])).
% 4.83/1.25 thf(zip_derived_cl694, plain,
% 4.83/1.25 (![X0 : $i, X1 : $i]:
% 4.83/1.25 (~ (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ X0))
% 4.83/1.25 | ~ (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ (suc @ X1)))
% 4.83/1.25 | ~ (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ (suc @ X0)))
% 4.83/1.25 | ~ (iLEQ @ (suc @ X1) @ (suc @ X0))
% 4.83/1.25 | ~ (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ X1))
% 4.83/1.25 | ~ (iLEQ @ (suc @ X0) @ (suc @ X1)))),
% 4.83/1.25 inference('clc', [status(thm)], [zip_derived_cl692, zip_derived_cl0])).
% 4.83/1.25 thf(zip_derived_cl697, plain,
% 4.83/1.25 (![X0 : $i]:
% 4.83/1.25 (~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 4.83/1.25 | ~ (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ X0))
% 4.83/1.25 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 4.83/1.25 | ~ (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ (suc @ X0)))
% 4.83/1.25 | ~ (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ X0)))),
% 4.83/1.25 inference('eq_fact', [status(thm)], [zip_derived_cl694])).
% 4.83/1.25 thf(zip_derived_cl698, plain,
% 4.83/1.25 (![X0 : $i]:
% 4.83/1.25 (~ (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ (suc @ X0)))
% 4.83/1.25 | ~ (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ X0))
% 4.83/1.25 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 4.83/1.25 inference('simplify', [status(thm)], [zip_derived_cl697])).
% 4.83/1.25 thf(zip_derived_cl0, plain,
% 4.83/1.25 (![X0 : $i]:
% 4.83/1.25 (~ (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ X0))
% 4.83/1.25 | ~ (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ (suc @ X0)))
% 4.83/1.25 | (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 4.83/1.25 inference('cnf', [status(esa)], [clause_1581])).
% 4.83/1.25 thf(zip_derived_cl699, plain,
% 4.83/1.25 (![X0 : $i]:
% 4.83/1.25 (~ (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ X0))
% 4.83/1.25 | ~ (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ (suc @ X0))))),
% 4.83/1.25 inference('clc', [status(thm)], [zip_derived_cl698, zip_derived_cl0])).
% 4.83/1.25 thf(zip_derived_cl701, plain,
% 4.83/1.25 (![X0 : $i]:
% 4.83/1.25 ( (LE @ (f @ X0) @ (s @ (s @ (s @ (s @ 0)))))
% 4.83/1.25 | ~ (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ X0)))),
% 4.83/1.25 inference('sup-', [status(thm)], [zip_derived_cl27, zip_derived_cl699])).
% 4.83/1.25 thf(clause_2115, axiom,
% 4.83/1.25 (( ~( LE @ ( f @ B_585 ) @ ( s @ ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) ) ) ) |
% 4.83/1.25 ( E @ ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) @ ( f @ B_585 ) ) |
% 4.83/1.25 ( LE @ ( f @ B_585 ) @ ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) ))).
% 4.83/1.25 thf(zip_derived_cl16, plain,
% 4.83/1.25 (![X0 : $i]:
% 4.83/1.25 (~ (LE @ (f @ X0) @ (s @ (s @ (s @ (s @ (s @ 0))))))
% 4.83/1.25 | (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ X0))
% 4.83/1.25 | (LE @ (f @ X0) @ (s @ (s @ (s @ (s @ 0))))))),
% 4.83/1.25 inference('cnf', [status(esa)], [clause_2115])).
% 4.83/1.25 thf(zip_derived_cl3, plain,
% 4.83/1.25 (![X0 : $i]: (LE @ (f @ X0) @ (s @ (s @ (s @ (s @ (s @ 0))))))),
% 4.83/1.25 inference('cnf', [status(esa)], [clause_583])).
% 4.83/1.25 thf(zip_derived_cl22, plain,
% 4.83/1.25 (![X0 : $i]:
% 4.83/1.25 ( (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ X0))
% 4.83/1.25 | (LE @ (f @ X0) @ (s @ (s @ (s @ (s @ 0))))))),
% 4.83/1.25 inference('demod', [status(thm)], [zip_derived_cl16, zip_derived_cl3])).
% 4.83/1.25 thf(zip_derived_cl702, plain,
% 4.83/1.25 (![X0 : $i]: (LE @ (f @ X0) @ (s @ (s @ (s @ (s @ 0)))))),
% 4.83/1.25 inference('clc', [status(thm)], [zip_derived_cl701, zip_derived_cl22])).
% 4.83/1.25 thf(zip_derived_cl704, plain,
% 4.83/1.25 (![X0 : $i]:
% 4.83/1.25 ( (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ X0)))
% 4.83/1.25 | (LE @ (f @ X0) @ (s @ (s @ (s @ 0)))))),
% 4.83/1.25 inference('demod', [status(thm)], [zip_derived_cl15, zip_derived_cl702])).
% 4.83/1.25 thf(clause_657, axiom,
% 4.83/1.25 (( ~( E @ ( s @ ( s @ ( s @ 0 ) ) ) @ ( f @ B_907 ) ) ) |
% 4.83/1.25 ( ~( E @ ( s @ ( s @ ( s @ 0 ) ) ) @ ( f @ ( suc @ A_2 ) ) ) ) |
% 4.83/1.25 ( ~( E @ ( s @ ( s @ ( s @ 0 ) ) ) @ ( f @ B_911 ) ) ) |
% 4.83/1.25 ( ~( E @ ( s @ ( s @ ( s @ 0 ) ) ) @ ( f @ B_910 ) ) ) |
% 4.83/1.25 ( ~( iLEQ @ ( suc @ B_909 ) @ ( suc @ B_910 ) ) ) |
% 4.83/1.25 ( ~( E @ ( s @ ( s @ ( s @ 0 ) ) ) @ ( f @ A_2 ) ) ) |
% 4.83/1.25 ( ~( E @ ( s @ ( s @ ( s @ 0 ) ) ) @ ( f @ ( suc @ B_910 ) ) ) ) |
% 4.83/1.25 ( ~( E @ ( s @ ( s @ ( s @ 0 ) ) ) @ ( f @ B_908 ) ) ) |
% 4.83/1.25 ( ~( iLEQ @ ( suc @ A_2 ) @ ( suc @ B_907 ) ) ) |
% 4.83/1.25 ( ~( iLEQ @ ( suc @ B_908 ) @ ( suc @ B_909 ) ) ) |
% 4.83/1.25 ( ~( E @ ( s @ ( s @ ( s @ 0 ) ) ) @ ( f @ ( suc @ B_908 ) ) ) ) |
% 4.83/1.25 ( ~( E @ ( s @ ( s @ ( s @ 0 ) ) ) @ ( f @ B_909 ) ) ) |
% 4.83/1.25 ( ~( E @ ( s @ ( s @ ( s @ 0 ) ) ) @ ( f @ ( suc @ B_911 ) ) ) ) |
% 4.83/1.25 ( ~( E @ ( s @ ( s @ ( s @ 0 ) ) ) @ ( f @ ( suc @ B_907 ) ) ) ) |
% 4.83/1.25 ( ~( iLEQ @ ( suc @ B_910 ) @ ( suc @ B_911 ) ) ) |
% 4.83/1.25 ( ~( iLEQ @ ( suc @ B_907 ) @ ( suc @ B_908 ) ) ) |
% 4.83/1.25 ( ~( E @ ( s @ ( s @ ( s @ 0 ) ) ) @ ( f @ ( suc @ B_909 ) ) ) ))).
% 4.83/1.25 thf(zip_derived_cl6, plain,
% 4.83/1.25 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 4.83/1.25 (~ (E @ (s @ (s @ (s @ 0))) @ (f @ X0))
% 4.83/1.25 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ X1)))
% 4.83/1.25 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ X2))
% 4.83/1.25 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ X3))
% 4.83/1.25 | ~ (iLEQ @ (suc @ X4) @ (suc @ X3))
% 4.83/1.25 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ X1))
% 4.83/1.25 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ X3)))
% 4.83/1.25 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ X5))
% 4.83/1.25 | ~ (iLEQ @ (suc @ X1) @ (suc @ X0))
% 4.83/1.25 | ~ (iLEQ @ (suc @ X5) @ (suc @ X4))
% 4.83/1.25 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ X5)))
% 4.83/1.25 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ X4))
% 4.83/1.25 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ X2)))
% 4.83/1.25 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ X0)))
% 4.83/1.25 | ~ (iLEQ @ (suc @ X3) @ (suc @ X2))
% 4.83/1.25 | ~ (iLEQ @ (suc @ X0) @ (suc @ X5))
% 4.83/1.25 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ X4))))),
% 4.83/1.25 inference('cnf', [status(esa)], [clause_657])).
% 4.83/1.25 thf(zip_derived_cl60, plain,
% 4.83/1.25 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 4.83/1.25 (~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ X1)))
% 4.83/1.25 | ~ (iLEQ @ (suc @ X3) @ (suc @ X2))
% 4.83/1.25 | ~ (iLEQ @ (suc @ X0) @ (suc @ X4))
% 4.83/1.25 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ X3)))
% 4.83/1.25 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ X4)))
% 4.83/1.25 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ X1))
% 4.83/1.25 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ X2)))
% 4.83/1.25 | ~ (iLEQ @ (suc @ X2) @ (suc @ X1))
% 4.83/1.25 | ~ (iLEQ @ (suc @ X0) @ (suc @ X3))
% 4.83/1.25 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ X2))
% 4.83/1.25 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ X0)))
% 4.83/1.25 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ X0))
% 4.83/1.25 | ~ (iLEQ @ (suc @ X1) @ (suc @ X0))
% 4.83/1.25 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ X0))
% 4.83/1.25 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ X4))
% 4.83/1.25 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ X3)))),
% 4.83/1.25 inference('eq_fact', [status(thm)], [zip_derived_cl6])).
% 4.83/1.25 thf(zip_derived_cl65, plain,
% 4.83/1.25 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 4.83/1.25 (~ (E @ (s @ (s @ (s @ 0))) @ (f @ X3))
% 4.83/1.25 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ X4))
% 4.83/1.25 | ~ (iLEQ @ (suc @ X1) @ (suc @ X0))
% 4.83/1.25 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ X0))
% 4.83/1.25 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ X0)))
% 4.83/1.25 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ X2))
% 4.83/1.25 | ~ (iLEQ @ (suc @ X0) @ (suc @ X3))
% 4.83/1.25 | ~ (iLEQ @ (suc @ X2) @ (suc @ X1))
% 4.83/1.25 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ X2)))
% 4.83/1.25 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ X1))
% 4.83/1.25 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ X4)))
% 4.83/1.25 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ X3)))
% 4.83/1.25 | ~ (iLEQ @ (suc @ X0) @ (suc @ X4))
% 4.83/1.25 | ~ (iLEQ @ (suc @ X3) @ (suc @ X2))
% 4.83/1.25 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ X1))))),
% 4.83/1.25 inference('simplify', [status(thm)], [zip_derived_cl60])).
% 4.83/1.25 thf(zip_derived_cl394, plain,
% 4.83/1.25 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 4.83/1.25 (~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ X1)))
% 4.83/1.25 | ~ (iLEQ @ (suc @ X2) @ (suc @ X0))
% 4.83/1.25 | ~ (iLEQ @ (suc @ X0) @ (suc @ X3))
% 4.83/1.25 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ X2)))
% 4.83/1.25 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ X3)))
% 4.83/1.25 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ X1))
% 4.83/1.25 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ X0)))
% 4.83/1.25 | ~ (iLEQ @ (suc @ X0) @ (suc @ X1))
% 4.83/1.25 | ~ (iLEQ @ (suc @ X0) @ (suc @ X2))
% 4.83/1.25 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ X0))
% 4.83/1.25 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ X0))
% 4.83/1.25 | ~ (iLEQ @ (suc @ X1) @ (suc @ X0))
% 4.83/1.25 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ X3))
% 4.83/1.25 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ X2)))),
% 4.83/1.25 inference('eq_fact', [status(thm)], [zip_derived_cl65])).
% 4.83/1.25 thf(zip_derived_cl398, plain,
% 4.83/1.25 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 4.83/1.25 (~ (E @ (s @ (s @ (s @ 0))) @ (f @ X2))
% 4.83/1.25 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ X3))
% 4.83/1.25 | ~ (iLEQ @ (suc @ X1) @ (suc @ X0))
% 4.83/1.25 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ X0))
% 4.83/1.25 | ~ (iLEQ @ (suc @ X0) @ (suc @ X2))
% 4.83/1.25 | ~ (iLEQ @ (suc @ X0) @ (suc @ X1))
% 4.83/1.25 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ X0)))
% 4.83/1.25 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ X1))
% 4.83/1.25 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ X3)))
% 4.83/1.25 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ X2)))
% 4.83/1.25 | ~ (iLEQ @ (suc @ X0) @ (suc @ X3))
% 4.83/1.25 | ~ (iLEQ @ (suc @ X2) @ (suc @ X0))
% 4.83/1.25 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ X1))))),
% 4.83/1.25 inference('simplify', [status(thm)], [zip_derived_cl394])).
% 4.83/1.25 thf(zip_derived_cl410, plain,
% 4.83/1.25 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.83/1.25 (~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ X1)))
% 4.83/1.25 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 4.83/1.25 | ~ (iLEQ @ (suc @ X0) @ (suc @ X2))
% 4.83/1.25 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ X0)))
% 4.83/1.25 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ X2)))
% 4.83/1.25 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ X1))
% 4.83/1.25 | ~ (iLEQ @ (suc @ X0) @ (suc @ X1))
% 4.83/1.25 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 4.83/1.25 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ X0))
% 4.83/1.25 | ~ (iLEQ @ (suc @ X1) @ (suc @ X0))
% 4.83/1.25 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ X2))
% 4.83/1.25 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ X0)))),
% 4.83/1.25 inference('eq_fact', [status(thm)], [zip_derived_cl398])).
% 4.83/1.25 thf(zip_derived_cl413, plain,
% 4.83/1.25 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.83/1.25 (~ (E @ (s @ (s @ (s @ 0))) @ (f @ X2))
% 4.83/1.25 | ~ (iLEQ @ (suc @ X1) @ (suc @ X0))
% 4.83/1.25 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ X0))
% 4.83/1.25 | ~ (iLEQ @ (suc @ X0) @ (suc @ X1))
% 4.83/1.25 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ X1))
% 4.83/1.25 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ X2)))
% 4.83/1.25 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ X0)))
% 4.83/1.25 | ~ (iLEQ @ (suc @ X0) @ (suc @ X2))
% 4.83/1.25 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 4.83/1.25 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ X1))))),
% 4.83/1.25 inference('simplify', [status(thm)], [zip_derived_cl410])).
% 4.83/1.25 thf(zip_derived_cl422, plain,
% 4.83/1.25 (![X0 : $i, X1 : $i]:
% 4.83/1.25 (~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ X1)))
% 4.83/1.25 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 4.83/1.25 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 4.83/1.25 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ X0)))
% 4.83/1.25 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ X1))
% 4.83/1.25 | ~ (iLEQ @ (suc @ X0) @ (suc @ X1))
% 4.83/1.25 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ X0))
% 4.83/1.25 | ~ (iLEQ @ (suc @ X1) @ (suc @ X0))
% 4.83/1.25 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ X0)))),
% 4.83/1.25 inference('eq_fact', [status(thm)], [zip_derived_cl413])).
% 4.83/1.25 thf(zip_derived_cl424, plain,
% 4.83/1.25 (![X0 : $i, X1 : $i]:
% 4.83/1.25 (~ (iLEQ @ (suc @ X1) @ (suc @ X0))
% 4.83/1.25 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ X0))
% 4.83/1.25 | ~ (iLEQ @ (suc @ X0) @ (suc @ X1))
% 4.83/1.25 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ X1))
% 4.83/1.25 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ X0)))
% 4.83/1.25 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 4.83/1.25 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ X1))))),
% 4.83/1.25 inference('simplify', [status(thm)], [zip_derived_cl422])).
% 4.83/1.25 thf(clause_2227, axiom,
% 4.83/1.25 (( ~( E @ ( s @ ( s @ ( s @ 0 ) ) ) @ ( f @ A_2 ) ) ) |
% 4.83/1.25 ( ~( E @ ( s @ ( s @ ( s @ 0 ) ) ) @ ( f @ ( suc @ A_2 ) ) ) ) |
% 4.83/1.25 ( iLEQ @ ( suc @ A_2 ) @ ( suc @ A_2 ) ))).
% 4.83/1.25 thf(zip_derived_cl17, plain,
% 4.83/1.25 (![X0 : $i]:
% 4.83/1.25 (~ (E @ (s @ (s @ (s @ 0))) @ (f @ X0))
% 4.83/1.25 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ X0)))
% 4.83/1.25 | (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 4.83/1.25 inference('cnf', [status(esa)], [clause_2227])).
% 4.83/1.25 thf(zip_derived_cl426, plain,
% 4.83/1.25 (![X0 : $i, X1 : $i]:
% 4.83/1.25 (~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ X1)))
% 4.83/1.25 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ X0)))
% 4.83/1.25 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ X1))
% 4.83/1.25 | ~ (iLEQ @ (suc @ X0) @ (suc @ X1))
% 4.83/1.25 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ X0))
% 4.83/1.25 | ~ (iLEQ @ (suc @ X1) @ (suc @ X0)))),
% 4.83/1.25 inference('clc', [status(thm)], [zip_derived_cl424, zip_derived_cl17])).
% 4.83/1.25 thf(zip_derived_cl434, plain,
% 4.83/1.25 (![X0 : $i]:
% 4.83/1.25 (~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 4.83/1.25 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ X0))
% 4.83/1.25 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 4.83/1.25 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ X0))
% 4.83/1.25 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ X0))))),
% 4.83/1.25 inference('eq_fact', [status(thm)], [zip_derived_cl426])).
% 4.83/1.25 thf(zip_derived_cl435, plain,
% 4.83/1.25 (![X0 : $i]:
% 4.83/1.25 (~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ X0)))
% 4.83/1.25 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ X0))
% 4.83/1.25 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 4.83/1.25 inference('simplify', [status(thm)], [zip_derived_cl434])).
% 4.83/1.25 thf(zip_derived_cl17, plain,
% 4.83/1.25 (![X0 : $i]:
% 4.83/1.25 (~ (E @ (s @ (s @ (s @ 0))) @ (f @ X0))
% 4.83/1.25 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ X0)))
% 4.83/1.25 | (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 4.83/1.25 inference('cnf', [status(esa)], [clause_2227])).
% 4.83/1.25 thf(zip_derived_cl436, plain,
% 4.83/1.25 (![X0 : $i]:
% 4.83/1.25 (~ (E @ (s @ (s @ (s @ 0))) @ (f @ X0))
% 4.83/1.25 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ X0))))),
% 4.83/1.25 inference('clc', [status(thm)], [zip_derived_cl435, zip_derived_cl17])).
% 4.83/1.25 thf(zip_derived_cl713, plain,
% 4.83/1.25 (![X0 : $i]:
% 4.83/1.25 ( (LE @ (f @ X0) @ (s @ (s @ (s @ 0))))
% 4.83/1.25 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ X0)))),
% 4.83/1.25 inference('sup-', [status(thm)], [zip_derived_cl704, zip_derived_cl436])).
% 4.83/1.25 thf(clause_1230, axiom,
% 4.83/1.25 (( ~( LE @ ( f @ B_906 ) @ ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) ) ) |
% 4.83/1.25 ( E @ ( s @ ( s @ ( s @ 0 ) ) ) @ ( f @ B_906 ) ) |
% 4.83/1.25 ( LE @ ( f @ B_906 ) @ ( s @ ( s @ ( s @ 0 ) ) ) ))).
% 4.83/1.25 thf(zip_derived_cl11, plain,
% 4.83/1.25 (![X0 : $i]:
% 4.83/1.25 (~ (LE @ (f @ X0) @ (s @ (s @ (s @ (s @ 0)))))
% 4.83/1.25 | (E @ (s @ (s @ (s @ 0))) @ (f @ X0))
% 4.83/1.25 | (LE @ (f @ X0) @ (s @ (s @ (s @ 0)))))),
% 4.83/1.25 inference('cnf', [status(esa)], [clause_1230])).
% 4.83/1.25 thf(zip_derived_cl702, plain,
% 4.83/1.25 (![X0 : $i]: (LE @ (f @ X0) @ (s @ (s @ (s @ (s @ 0)))))),
% 4.83/1.25 inference('clc', [status(thm)], [zip_derived_cl701, zip_derived_cl22])).
% 4.83/1.25 thf(zip_derived_cl703, plain,
% 4.83/1.25 (![X0 : $i]:
% 4.83/1.25 ( (E @ (s @ (s @ (s @ 0))) @ (f @ X0))
% 4.83/1.25 | (LE @ (f @ X0) @ (s @ (s @ (s @ 0)))))),
% 4.83/1.25 inference('demod', [status(thm)], [zip_derived_cl11, zip_derived_cl702])).
% 4.83/1.25 thf(zip_derived_cl714, plain,
% 4.83/1.25 (![X0 : $i]: (LE @ (f @ X0) @ (s @ (s @ (s @ 0))))),
% 4.83/1.25 inference('clc', [status(thm)], [zip_derived_cl713, zip_derived_cl703])).
% 4.83/1.25 thf(zip_derived_cl715, plain,
% 4.83/1.25 (![X0 : $i]:
% 4.83/1.25 ( (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 4.83/1.25 | (LE @ (f @ X0) @ (s @ (s @ 0))))),
% 4.83/1.25 inference('demod', [status(thm)], [zip_derived_cl5, zip_derived_cl714])).
% 4.83/1.25 thf(clause_1712, axiom,
% 4.83/1.25 (( ~( E @ ( s @ ( s @ 0 ) ) @ ( f @ B_1069 ) ) ) |
% 4.83/1.25 ( ~( E @ ( s @ ( s @ 0 ) ) @ ( f @ ( suc @ B_1067 ) ) ) ) |
% 4.83/1.25 ( ~( E @ ( s @ ( s @ 0 ) ) @ ( f @ B_1070 ) ) ) |
% 4.83/1.25 ( ~( E @ ( s @ ( s @ 0 ) ) @ ( f @ B_1068 ) ) ) |
% 4.83/1.25 ( ~( E @ ( s @ ( s @ 0 ) ) @ ( f @ ( suc @ B_1068 ) ) ) ) |
% 4.83/1.25 ( ~( iLEQ @ ( suc @ B_1067 ) @ ( suc @ B_1068 ) ) ) |
% 4.83/1.25 ( ~( E @ ( s @ ( s @ 0 ) ) @ ( f @ ( suc @ A_3 ) ) ) ) |
% 4.83/1.25 ( ~( E @ ( s @ ( s @ 0 ) ) @ ( f @ B_1067 ) ) ) |
% 4.83/1.25 ( ~( iLEQ @ ( suc @ B_1068 ) @ ( suc @ B_1069 ) ) ) |
% 4.83/1.25 ( ~( E @ ( s @ ( s @ 0 ) ) @ ( f @ B_1071 ) ) ) |
% 4.83/1.25 ( ~( iLEQ @ ( suc @ A_3 ) @ ( suc @ B_1067 ) ) ) |
% 4.83/1.25 ( ~( E @ ( s @ ( s @ 0 ) ) @ ( f @ ( suc @ B_1069 ) ) ) ) |
% 4.83/1.25 ( ~( iLEQ @ ( suc @ B_1069 ) @ ( suc @ B_1070 ) ) ) |
% 4.83/1.25 ( ~( E @ ( s @ ( s @ 0 ) ) @ ( f @ ( suc @ B_1071 ) ) ) ) |
% 4.83/1.25 ( ~( E @ ( s @ ( s @ 0 ) ) @ ( f @ ( suc @ B_1070 ) ) ) ) |
% 4.83/1.25 ( ~( E @ ( s @ ( s @ 0 ) ) @ ( f @ A_3 ) ) ) |
% 4.83/1.25 ( ~( iLEQ @ ( suc @ B_1070 ) @ ( suc @ B_1071 ) ) ))).
% 4.83/1.25 thf(zip_derived_cl20, plain,
% 4.83/1.25 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 4.83/1.25 (~ (E @ (s @ (s @ 0)) @ (f @ X0))
% 4.83/1.25 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X1)))
% 4.83/1.25 | ~ (E @ (s @ (s @ 0)) @ (f @ X2))
% 4.83/1.25 | ~ (E @ (s @ (s @ 0)) @ (f @ X3))
% 4.83/1.25 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X3)))
% 4.83/1.25 | ~ (iLEQ @ (suc @ X1) @ (suc @ X3))
% 4.83/1.25 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X4)))
% 4.83/1.25 | ~ (E @ (s @ (s @ 0)) @ (f @ X1))
% 4.83/1.25 | ~ (iLEQ @ (suc @ X3) @ (suc @ X0))
% 4.83/1.25 | ~ (E @ (s @ (s @ 0)) @ (f @ X5))
% 4.83/1.25 | ~ (iLEQ @ (suc @ X4) @ (suc @ X1))
% 4.83/1.25 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 4.83/1.25 | ~ (iLEQ @ (suc @ X0) @ (suc @ X2))
% 4.83/1.25 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X5)))
% 4.83/1.25 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X2)))
% 4.83/1.25 | ~ (E @ (s @ (s @ 0)) @ (f @ X4))
% 4.83/1.25 | ~ (iLEQ @ (suc @ X2) @ (suc @ X5)))),
% 4.83/1.25 inference('cnf', [status(esa)], [clause_1712])).
% 4.83/1.25 thf(zip_derived_cl50, plain,
% 4.83/1.25 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 4.83/1.25 (~ (iLEQ @ (suc @ X2) @ (suc @ X1))
% 4.83/1.25 | ~ (E @ (s @ (s @ 0)) @ (f @ X3))
% 4.83/1.25 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X2)))
% 4.83/1.25 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X1)))
% 4.83/1.25 | ~ (iLEQ @ (suc @ X4) @ (suc @ X2))
% 4.83/1.25 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X4)))
% 4.83/1.25 | ~ (iLEQ @ (suc @ X3) @ (suc @ X0))
% 4.83/1.25 | ~ (E @ (s @ (s @ 0)) @ (f @ X1))
% 4.83/1.25 | ~ (iLEQ @ (suc @ X0) @ (suc @ X4))
% 4.83/1.25 | ~ (E @ (s @ (s @ 0)) @ (f @ X0))
% 4.83/1.25 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X3)))
% 4.83/1.25 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 4.83/1.25 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 4.83/1.25 | ~ (E @ (s @ (s @ 0)) @ (f @ X0))
% 4.83/1.25 | ~ (E @ (s @ (s @ 0)) @ (f @ X2))
% 4.83/1.25 | ~ (E @ (s @ (s @ 0)) @ (f @ X4)))),
% 4.83/1.25 inference('eq_fact', [status(thm)], [zip_derived_cl20])).
% 4.83/1.25 thf(zip_derived_cl55, plain,
% 4.83/1.25 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 4.83/1.25 (~ (E @ (s @ (s @ 0)) @ (f @ X4))
% 4.83/1.25 | ~ (E @ (s @ (s @ 0)) @ (f @ X2))
% 4.83/1.25 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 4.83/1.25 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 4.83/1.25 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X3)))
% 4.83/1.25 | ~ (E @ (s @ (s @ 0)) @ (f @ X0))
% 4.83/1.25 | ~ (iLEQ @ (suc @ X0) @ (suc @ X4))
% 4.83/1.25 | ~ (E @ (s @ (s @ 0)) @ (f @ X1))
% 4.83/1.25 | ~ (iLEQ @ (suc @ X3) @ (suc @ X0))
% 4.83/1.25 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X4)))
% 4.83/1.25 | ~ (iLEQ @ (suc @ X4) @ (suc @ X2))
% 4.83/1.25 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X1)))
% 4.83/1.25 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X2)))
% 4.83/1.25 | ~ (E @ (s @ (s @ 0)) @ (f @ X3))
% 4.83/1.25 | ~ (iLEQ @ (suc @ X2) @ (suc @ X1)))),
% 4.83/1.25 inference('simplify', [status(thm)], [zip_derived_cl50])).
% 4.83/1.25 thf(zip_derived_cl299, plain,
% 4.83/1.25 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 4.83/1.25 (~ (iLEQ @ (suc @ X2) @ (suc @ X1))
% 4.83/1.25 | ~ (E @ (s @ (s @ 0)) @ (f @ X0))
% 4.83/1.25 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X2)))
% 4.83/1.25 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X1)))
% 4.83/1.25 | ~ (iLEQ @ (suc @ X3) @ (suc @ X2))
% 4.83/1.25 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X3)))
% 4.83/1.25 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 4.83/1.25 | ~ (E @ (s @ (s @ 0)) @ (f @ X1))
% 4.83/1.25 | ~ (iLEQ @ (suc @ X0) @ (suc @ X3))
% 4.83/1.25 | ~ (E @ (s @ (s @ 0)) @ (f @ X0))
% 4.83/1.25 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 4.83/1.25 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 4.83/1.25 | ~ (E @ (s @ (s @ 0)) @ (f @ X2))
% 4.83/1.25 | ~ (E @ (s @ (s @ 0)) @ (f @ X3)))),
% 4.83/1.25 inference('eq_fact', [status(thm)], [zip_derived_cl55])).
% 4.83/1.25 thf(zip_derived_cl303, plain,
% 4.83/1.25 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 4.83/1.25 (~ (E @ (s @ (s @ 0)) @ (f @ X3))
% 4.83/1.25 | ~ (E @ (s @ (s @ 0)) @ (f @ X2))
% 4.83/1.25 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 4.83/1.25 | ~ (iLEQ @ (suc @ X0) @ (suc @ X3))
% 4.83/1.25 | ~ (E @ (s @ (s @ 0)) @ (f @ X1))
% 4.83/1.25 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 4.83/1.25 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X3)))
% 4.83/1.25 | ~ (iLEQ @ (suc @ X3) @ (suc @ X2))
% 4.83/1.25 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X1)))
% 4.83/1.25 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X2)))
% 4.83/1.25 | ~ (E @ (s @ (s @ 0)) @ (f @ X0))
% 4.83/1.25 | ~ (iLEQ @ (suc @ X2) @ (suc @ X1)))),
% 4.83/1.25 inference('simplify', [status(thm)], [zip_derived_cl299])).
% 4.83/1.25 thf(zip_derived_cl311, plain,
% 4.83/1.25 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.83/1.25 (~ (iLEQ @ (suc @ X2) @ (suc @ X1))
% 4.83/1.25 | ~ (E @ (s @ (s @ 0)) @ (f @ X0))
% 4.83/1.25 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X2)))
% 4.83/1.25 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X1)))
% 4.83/1.25 | ~ (iLEQ @ (suc @ X0) @ (suc @ X2))
% 4.83/1.25 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 4.83/1.25 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 4.83/1.25 | ~ (E @ (s @ (s @ 0)) @ (f @ X1))
% 4.83/1.25 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 4.83/1.25 | ~ (E @ (s @ (s @ 0)) @ (f @ X2))
% 4.83/1.25 | ~ (E @ (s @ (s @ 0)) @ (f @ X0)))),
% 4.83/1.25 inference('eq_fact', [status(thm)], [zip_derived_cl303])).
% 4.83/1.25 thf(zip_derived_cl314, plain,
% 4.83/1.25 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.83/1.25 (~ (E @ (s @ (s @ 0)) @ (f @ X2))
% 4.83/1.25 | ~ (E @ (s @ (s @ 0)) @ (f @ X1))
% 4.83/1.25 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 4.83/1.25 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 4.83/1.25 | ~ (iLEQ @ (suc @ X0) @ (suc @ X2))
% 4.83/1.25 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X1)))
% 4.83/1.25 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X2)))
% 4.83/1.25 | ~ (E @ (s @ (s @ 0)) @ (f @ X0))
% 4.83/1.25 | ~ (iLEQ @ (suc @ X2) @ (suc @ X1)))),
% 4.83/1.25 inference('simplify', [status(thm)], [zip_derived_cl311])).
% 4.83/1.25 thf(zip_derived_cl322, plain,
% 4.83/1.25 (![X0 : $i, X1 : $i]:
% 4.83/1.25 (~ (iLEQ @ (suc @ X0) @ (suc @ X1))
% 4.83/1.25 | ~ (E @ (s @ (s @ 0)) @ (f @ X0))
% 4.83/1.25 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 4.83/1.25 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X1)))
% 4.83/1.25 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 4.83/1.25 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 4.83/1.25 | ~ (E @ (s @ (s @ 0)) @ (f @ X1))
% 4.83/1.25 | ~ (E @ (s @ (s @ 0)) @ (f @ X0)))),
% 4.83/1.25 inference('eq_fact', [status(thm)], [zip_derived_cl314])).
% 4.83/1.25 thf(zip_derived_cl324, plain,
% 4.83/1.25 (![X0 : $i, X1 : $i]:
% 4.83/1.25 (~ (E @ (s @ (s @ 0)) @ (f @ X1))
% 4.83/1.25 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 4.83/1.25 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X1)))
% 4.83/1.25 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 4.83/1.25 | ~ (E @ (s @ (s @ 0)) @ (f @ X0))
% 4.83/1.25 | ~ (iLEQ @ (suc @ X0) @ (suc @ X1)))),
% 4.83/1.25 inference('simplify', [status(thm)], [zip_derived_cl322])).
% 4.83/1.25 thf(clause_1218, axiom,
% 4.83/1.25 (( ~( E @ ( s @ ( s @ 0 ) ) @ ( f @ A_3 ) ) ) |
% 4.83/1.25 ( ~( E @ ( s @ ( s @ 0 ) ) @ ( f @ ( suc @ A_3 ) ) ) ) |
% 4.83/1.25 ( iLEQ @ ( suc @ A_3 ) @ ( suc @ A_3 ) ))).
% 4.83/1.25 thf(zip_derived_cl1, plain,
% 4.83/1.25 (![X0 : $i]:
% 4.83/1.25 (~ (E @ (s @ (s @ 0)) @ (f @ X0))
% 4.83/1.25 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 4.83/1.25 | (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 4.83/1.25 inference('cnf', [status(esa)], [clause_1218])).
% 4.83/1.25 thf(zip_derived_cl325, plain,
% 4.83/1.25 (![X0 : $i, X1 : $i]:
% 4.83/1.25 (~ (iLEQ @ (suc @ X0) @ (suc @ X1))
% 4.83/1.25 | ~ (E @ (s @ (s @ 0)) @ (f @ X0))
% 4.83/1.25 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 4.83/1.25 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X1)))
% 4.83/1.25 | ~ (E @ (s @ (s @ 0)) @ (f @ X1)))),
% 4.83/1.25 inference('clc', [status(thm)], [zip_derived_cl324, zip_derived_cl1])).
% 4.83/1.25 thf(zip_derived_cl330, plain,
% 4.83/1.25 (![X0 : $i]:
% 4.83/1.25 (~ (E @ (s @ (s @ 0)) @ (f @ X0))
% 4.83/1.25 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 4.83/1.25 | ~ (E @ (s @ (s @ 0)) @ (f @ X0))
% 4.83/1.25 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 4.83/1.25 inference('eq_fact', [status(thm)], [zip_derived_cl325])).
% 4.83/1.25 thf(zip_derived_cl331, plain,
% 4.83/1.25 (![X0 : $i]:
% 4.83/1.25 (~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 4.83/1.25 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 4.83/1.25 | ~ (E @ (s @ (s @ 0)) @ (f @ X0)))),
% 4.83/1.25 inference('simplify', [status(thm)], [zip_derived_cl330])).
% 4.83/1.25 thf(zip_derived_cl1, plain,
% 4.83/1.25 (![X0 : $i]:
% 4.83/1.25 (~ (E @ (s @ (s @ 0)) @ (f @ X0))
% 4.83/1.25 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 4.83/1.25 | (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 4.83/1.25 inference('cnf', [status(esa)], [clause_1218])).
% 4.83/1.25 thf(zip_derived_cl332, plain,
% 4.83/1.25 (![X0 : $i]:
% 4.83/1.25 (~ (E @ (s @ (s @ 0)) @ (f @ X0))
% 4.83/1.25 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0))))),
% 4.83/1.25 inference('clc', [status(thm)], [zip_derived_cl331, zip_derived_cl1])).
% 4.83/1.25 thf(zip_derived_cl720, plain,
% 4.83/1.25 (![X0 : $i]:
% 4.83/1.25 ( (LE @ (f @ X0) @ (s @ (s @ 0))) | ~ (E @ (s @ (s @ 0)) @ (f @ X0)))),
% 4.83/1.25 inference('sup-', [status(thm)], [zip_derived_cl715, zip_derived_cl332])).
% 4.83/1.25 thf(clause_1314, axiom,
% 4.83/1.25 (( ~( LE @ ( f @ B_1066 ) @ ( s @ ( s @ ( s @ 0 ) ) ) ) ) |
% 4.83/1.25 ( E @ ( s @ ( s @ 0 ) ) @ ( f @ B_1066 ) ) |
% 4.83/1.25 ( LE @ ( f @ B_1066 ) @ ( s @ ( s @ 0 ) ) ))).
% 4.83/1.25 thf(zip_derived_cl8, plain,
% 4.83/1.25 (![X0 : $i]:
% 4.83/1.25 (~ (LE @ (f @ X0) @ (s @ (s @ (s @ 0))))
% 4.83/1.25 | (E @ (s @ (s @ 0)) @ (f @ X0))
% 4.83/1.25 | (LE @ (f @ X0) @ (s @ (s @ 0))))),
% 4.83/1.25 inference('cnf', [status(esa)], [clause_1314])).
% 4.83/1.25 thf(zip_derived_cl714, plain,
% 4.83/1.25 (![X0 : $i]: (LE @ (f @ X0) @ (s @ (s @ (s @ 0))))),
% 4.83/1.25 inference('clc', [status(thm)], [zip_derived_cl713, zip_derived_cl703])).
% 4.83/1.25 thf(zip_derived_cl716, plain,
% 4.83/1.25 (![X0 : $i]:
% 4.83/1.25 ( (E @ (s @ (s @ 0)) @ (f @ X0)) | (LE @ (f @ X0) @ (s @ (s @ 0))))),
% 4.83/1.25 inference('demod', [status(thm)], [zip_derived_cl8, zip_derived_cl714])).
% 4.83/1.25 thf(zip_derived_cl728, plain, (![X0 : $i]: (LE @ (f @ X0) @ (s @ (s @ 0)))),
% 4.83/1.25 inference('clc', [status(thm)], [zip_derived_cl720, zip_derived_cl716])).
% 4.83/1.25 thf(zip_derived_cl730, plain,
% 4.83/1.25 (![X0 : $i]:
% 4.83/1.25 ( (E @ (s @ 0) @ (f @ (suc @ X0))) | (LE @ (f @ X0) @ (s @ 0)))),
% 4.83/1.25 inference('demod', [status(thm)], [zip_derived_cl18, zip_derived_cl728])).
% 4.83/1.25 thf(clause_327, axiom,
% 4.83/1.25 (( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ B_1137 ) ) ) ) |
% 4.83/1.25 ( ~( E @ ( s @ 0 ) @ ( f @ B_1140 ) ) ) |
% 4.83/1.25 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ B_1139 ) ) ) ) |
% 4.83/1.25 ( ~( iLEQ @ ( suc @ B_1138 ) @ ( suc @ B_1139 ) ) ) |
% 4.83/1.25 ( ~( E @ ( s @ 0 ) @ ( f @ B_1141 ) ) ) |
% 4.83/1.25 ( ~( E @ ( s @ 0 ) @ ( f @ B_1137 ) ) ) |
% 4.83/1.25 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ B_1138 ) ) ) ) |
% 4.83/1.25 ( ~( iLEQ @ ( suc @ B_1137 ) @ ( suc @ B_1138 ) ) ) |
% 4.83/1.25 ( ~( iLEQ @ ( suc @ A_4 ) @ ( suc @ B_1137 ) ) ) |
% 4.83/1.25 ( ~( iLEQ @ ( suc @ B_1139 ) @ ( suc @ B_1140 ) ) ) |
% 4.83/1.25 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ B_1140 ) ) ) ) |
% 4.83/1.25 ( ~( iLEQ @ ( suc @ B_1140 ) @ ( suc @ B_1141 ) ) ) |
% 4.83/1.25 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ A_4 ) ) ) ) |
% 4.83/1.25 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ B_1141 ) ) ) ) |
% 4.83/1.25 ( ~( E @ ( s @ 0 ) @ ( f @ B_1139 ) ) ) |
% 4.83/1.25 ( ~( E @ ( s @ 0 ) @ ( f @ A_4 ) ) ) |
% 4.83/1.25 ( ~( E @ ( s @ 0 ) @ ( f @ B_1138 ) ) ))).
% 4.83/1.25 thf(zip_derived_cl2, plain,
% 4.83/1.25 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 4.83/1.25 (~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 4.83/1.25 | ~ (E @ (s @ 0) @ (f @ X1))
% 4.83/1.25 | ~ (E @ (s @ 0) @ (f @ (suc @ X2)))
% 4.83/1.25 | ~ (iLEQ @ (suc @ X3) @ (suc @ X2))
% 4.83/1.25 | ~ (E @ (s @ 0) @ (f @ X4))
% 4.83/1.25 | ~ (E @ (s @ 0) @ (f @ X0))
% 4.83/1.25 | ~ (E @ (s @ 0) @ (f @ (suc @ X3)))
% 4.83/1.25 | ~ (iLEQ @ (suc @ X0) @ (suc @ X3))
% 4.83/1.25 | ~ (iLEQ @ (suc @ X5) @ (suc @ X0))
% 4.83/1.25 | ~ (iLEQ @ (suc @ X2) @ (suc @ X1))
% 4.83/1.25 | ~ (E @ (s @ 0) @ (f @ (suc @ X1)))
% 4.83/1.25 | ~ (iLEQ @ (suc @ X1) @ (suc @ X4))
% 4.83/1.25 | ~ (E @ (s @ 0) @ (f @ (suc @ X5)))
% 4.83/1.25 | ~ (E @ (s @ 0) @ (f @ (suc @ X4)))
% 4.83/1.25 | ~ (E @ (s @ 0) @ (f @ X2))
% 4.83/1.25 | ~ (E @ (s @ 0) @ (f @ X5))
% 4.83/1.25 | ~ (E @ (s @ 0) @ (f @ X3)))),
% 4.83/1.25 inference('cnf', [status(esa)], [clause_327])).
% 4.83/1.25 thf(zip_derived_cl40, plain,
% 4.83/1.25 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 4.83/1.25 (~ (E @ (s @ 0) @ (f @ X1))
% 4.83/1.25 | ~ (E @ (s @ 0) @ (f @ X2))
% 4.83/1.25 | ~ (E @ (s @ 0) @ (f @ X0))
% 4.83/1.25 | ~ (E @ (s @ 0) @ (f @ (suc @ X3)))
% 4.83/1.25 | ~ (E @ (s @ 0) @ (f @ (suc @ X2)))
% 4.83/1.25 | ~ (iLEQ @ (suc @ X4) @ (suc @ X3))
% 4.83/1.25 | ~ (E @ (s @ 0) @ (f @ (suc @ X4)))
% 4.83/1.25 | ~ (iLEQ @ (suc @ X0) @ (suc @ X4))
% 4.83/1.25 | ~ (iLEQ @ (suc @ X2) @ (suc @ X0))
% 4.83/1.25 | ~ (iLEQ @ (suc @ X0) @ (suc @ X1))
% 4.83/1.25 | ~ (E @ (s @ 0) @ (f @ (suc @ X1)))
% 4.83/1.25 | ~ (E @ (s @ 0) @ (f @ X0))
% 4.83/1.25 | ~ (E @ (s @ 0) @ (f @ X3))
% 4.83/1.25 | ~ (iLEQ @ (suc @ X1) @ (suc @ X0))
% 4.83/1.25 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 4.83/1.25 | ~ (E @ (s @ 0) @ (f @ X4)))),
% 4.83/1.25 inference('eq_fact', [status(thm)], [zip_derived_cl2])).
% 4.83/1.25 thf(zip_derived_cl45, plain,
% 4.83/1.25 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 4.83/1.25 (~ (E @ (s @ 0) @ (f @ X4))
% 4.83/1.25 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 4.83/1.25 | ~ (iLEQ @ (suc @ X1) @ (suc @ X0))
% 4.83/1.25 | ~ (E @ (s @ 0) @ (f @ X3))
% 4.83/1.25 | ~ (E @ (s @ 0) @ (f @ (suc @ X1)))
% 4.83/1.25 | ~ (iLEQ @ (suc @ X0) @ (suc @ X1))
% 4.83/1.25 | ~ (iLEQ @ (suc @ X2) @ (suc @ X0))
% 4.83/1.25 | ~ (iLEQ @ (suc @ X0) @ (suc @ X4))
% 4.83/1.25 | ~ (E @ (s @ 0) @ (f @ (suc @ X4)))
% 4.83/1.25 | ~ (iLEQ @ (suc @ X4) @ (suc @ X3))
% 4.83/1.25 | ~ (E @ (s @ 0) @ (f @ (suc @ X2)))
% 4.83/1.25 | ~ (E @ (s @ 0) @ (f @ (suc @ X3)))
% 4.83/1.25 | ~ (E @ (s @ 0) @ (f @ X0))
% 4.83/1.25 | ~ (E @ (s @ 0) @ (f @ X2))
% 4.83/1.25 | ~ (E @ (s @ 0) @ (f @ X1)))),
% 4.83/1.25 inference('simplify', [status(thm)], [zip_derived_cl40])).
% 4.83/1.25 thf(zip_derived_cl247, plain,
% 4.83/1.25 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 4.83/1.25 (~ (E @ (s @ 0) @ (f @ X0))
% 4.83/1.25 | ~ (E @ (s @ 0) @ (f @ X1))
% 4.83/1.25 | ~ (E @ (s @ 0) @ (f @ X0))
% 4.83/1.25 | ~ (E @ (s @ 0) @ (f @ (suc @ X2)))
% 4.83/1.25 | ~ (E @ (s @ 0) @ (f @ (suc @ X1)))
% 4.83/1.25 | ~ (iLEQ @ (suc @ X3) @ (suc @ X2))
% 4.83/1.25 | ~ (E @ (s @ 0) @ (f @ (suc @ X3)))
% 4.83/1.25 | ~ (iLEQ @ (suc @ X0) @ (suc @ X3))
% 4.83/1.25 | ~ (iLEQ @ (suc @ X1) @ (suc @ X0))
% 4.83/1.25 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 4.83/1.25 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 4.83/1.25 | ~ (E @ (s @ 0) @ (f @ X2))
% 4.83/1.25 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 4.83/1.25 | ~ (E @ (s @ 0) @ (f @ X3)))),
% 4.83/1.25 inference('eq_fact', [status(thm)], [zip_derived_cl45])).
% 4.83/1.25 thf(zip_derived_cl251, plain,
% 4.83/1.25 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 4.83/1.25 (~ (E @ (s @ 0) @ (f @ X3))
% 4.83/1.25 | ~ (E @ (s @ 0) @ (f @ X2))
% 4.83/1.25 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 4.83/1.25 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 4.83/1.25 | ~ (iLEQ @ (suc @ X1) @ (suc @ X0))
% 4.83/1.25 | ~ (iLEQ @ (suc @ X0) @ (suc @ X3))
% 4.83/1.25 | ~ (E @ (s @ 0) @ (f @ (suc @ X3)))
% 4.83/1.25 | ~ (iLEQ @ (suc @ X3) @ (suc @ X2))
% 4.83/1.25 | ~ (E @ (s @ 0) @ (f @ (suc @ X1)))
% 4.83/1.25 | ~ (E @ (s @ 0) @ (f @ (suc @ X2)))
% 4.83/1.25 | ~ (E @ (s @ 0) @ (f @ X1))
% 4.83/1.25 | ~ (E @ (s @ 0) @ (f @ X0)))),
% 4.83/1.25 inference('simplify', [status(thm)], [zip_derived_cl247])).
% 4.83/1.25 thf(zip_derived_cl262, plain,
% 4.83/1.25 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.83/1.25 (~ (E @ (s @ 0) @ (f @ X0))
% 4.83/1.25 | ~ (E @ (s @ 0) @ (f @ X1))
% 4.83/1.25 | ~ (E @ (s @ 0) @ (f @ (suc @ X2)))
% 4.83/1.25 | ~ (E @ (s @ 0) @ (f @ (suc @ X1)))
% 4.83/1.25 | ~ (iLEQ @ (suc @ X0) @ (suc @ X2))
% 4.83/1.25 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 4.83/1.25 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 4.83/1.25 | ~ (iLEQ @ (suc @ X1) @ (suc @ X0))
% 4.83/1.25 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 4.83/1.25 | ~ (E @ (s @ 0) @ (f @ X2))
% 4.83/1.25 | ~ (E @ (s @ 0) @ (f @ X0)))),
% 4.83/1.25 inference('eq_fact', [status(thm)], [zip_derived_cl251])).
% 4.83/1.25 thf(zip_derived_cl265, plain,
% 4.83/1.25 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.83/1.25 (~ (E @ (s @ 0) @ (f @ X2))
% 4.83/1.25 | ~ (iLEQ @ (suc @ X1) @ (suc @ X0))
% 4.83/1.25 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 4.83/1.25 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 4.83/1.25 | ~ (iLEQ @ (suc @ X0) @ (suc @ X2))
% 4.83/1.25 | ~ (E @ (s @ 0) @ (f @ (suc @ X1)))
% 4.83/1.25 | ~ (E @ (s @ 0) @ (f @ (suc @ X2)))
% 4.83/1.25 | ~ (E @ (s @ 0) @ (f @ X1))
% 4.83/1.25 | ~ (E @ (s @ 0) @ (f @ X0)))),
% 4.83/1.25 inference('simplify', [status(thm)], [zip_derived_cl262])).
% 4.83/1.25 thf(zip_derived_cl268, plain,
% 4.83/1.25 (![X0 : $i, X1 : $i]:
% 4.83/1.25 (~ (E @ (s @ 0) @ (f @ X0))
% 4.83/1.25 | ~ (E @ (s @ 0) @ (f @ X0))
% 4.83/1.25 | ~ (E @ (s @ 0) @ (f @ (suc @ X1)))
% 4.83/1.25 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 4.83/1.25 | ~ (iLEQ @ (suc @ X0) @ (suc @ X1))
% 4.83/1.25 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 4.83/1.25 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 4.83/1.25 | ~ (E @ (s @ 0) @ (f @ X1)))),
% 4.83/1.25 inference('eq_fact', [status(thm)], [zip_derived_cl265])).
% 4.83/1.25 thf(zip_derived_cl270, plain,
% 4.83/1.25 (![X0 : $i, X1 : $i]:
% 4.83/1.25 (~ (E @ (s @ 0) @ (f @ X1))
% 4.83/1.25 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 4.83/1.25 | ~ (iLEQ @ (suc @ X0) @ (suc @ X1))
% 4.83/1.25 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 4.83/1.25 | ~ (E @ (s @ 0) @ (f @ (suc @ X1)))
% 4.83/1.25 | ~ (E @ (s @ 0) @ (f @ X0)))),
% 4.83/1.25 inference('simplify', [status(thm)], [zip_derived_cl268])).
% 4.83/1.25 thf(clause_1329, axiom,
% 4.83/1.25 (( ~( E @ ( s @ 0 ) @ ( f @ A_4 ) ) ) |
% 4.83/1.25 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ A_4 ) ) ) ) |
% 4.83/1.25 ( iLEQ @ ( suc @ A_4 ) @ ( suc @ A_4 ) ))).
% 4.83/1.25 thf(zip_derived_cl14, plain,
% 4.83/1.25 (![X0 : $i]:
% 4.83/1.25 (~ (E @ (s @ 0) @ (f @ X0))
% 4.83/1.25 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 4.83/1.25 | (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 4.83/1.25 inference('cnf', [status(esa)], [clause_1329])).
% 4.83/1.25 thf(zip_derived_cl272, plain,
% 4.83/1.25 (![X0 : $i, X1 : $i]:
% 4.83/1.25 (~ (E @ (s @ 0) @ (f @ X0))
% 4.83/1.25 | ~ (E @ (s @ 0) @ (f @ (suc @ X1)))
% 4.83/1.25 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 4.83/1.25 | ~ (iLEQ @ (suc @ X0) @ (suc @ X1))
% 4.83/1.25 | ~ (E @ (s @ 0) @ (f @ X1)))),
% 4.83/1.25 inference('clc', [status(thm)], [zip_derived_cl270, zip_derived_cl14])).
% 4.83/1.25 thf(zip_derived_cl273, plain,
% 4.83/1.25 (![X0 : $i]:
% 4.83/1.25 (~ (E @ (s @ 0) @ (f @ X0))
% 4.83/1.25 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 4.83/1.25 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 4.83/1.25 | ~ (E @ (s @ 0) @ (f @ X0)))),
% 4.83/1.25 inference('eq_fact', [status(thm)], [zip_derived_cl272])).
% 4.83/1.25 thf(zip_derived_cl274, plain,
% 4.83/1.25 (![X0 : $i]:
% 4.83/1.25 (~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 4.83/1.25 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 4.83/1.25 | ~ (E @ (s @ 0) @ (f @ X0)))),
% 4.83/1.25 inference('simplify', [status(thm)], [zip_derived_cl273])).
% 4.83/1.25 thf(zip_derived_cl14, plain,
% 4.83/1.25 (![X0 : $i]:
% 4.83/1.25 (~ (E @ (s @ 0) @ (f @ X0))
% 4.83/1.25 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 4.83/1.25 | (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 4.83/1.25 inference('cnf', [status(esa)], [clause_1329])).
% 4.83/1.25 thf(zip_derived_cl275, plain,
% 4.83/1.25 (![X0 : $i]:
% 4.83/1.25 (~ (E @ (s @ 0) @ (f @ X0)) | ~ (E @ (s @ 0) @ (f @ (suc @ X0))))),
% 4.83/1.25 inference('clc', [status(thm)], [zip_derived_cl274, zip_derived_cl14])).
% 4.83/1.25 thf(zip_derived_cl733, plain,
% 4.83/1.25 (![X0 : $i]: ( (LE @ (f @ X0) @ (s @ 0)) | ~ (E @ (s @ 0) @ (f @ X0)))),
% 4.83/1.25 inference('sup-', [status(thm)], [zip_derived_cl730, zip_derived_cl275])).
% 4.83/1.25 thf(clause_740, axiom,
% 4.83/1.25 (( ~( LE @ ( f @ B_1136 ) @ ( s @ ( s @ 0 ) ) ) ) |
% 4.83/1.25 ( E @ ( s @ 0 ) @ ( f @ B_1136 ) ) | ( LE @ ( f @ B_1136 ) @ ( s @ 0 ) ))).
% 4.83/1.25 thf(zip_derived_cl4, plain,
% 4.83/1.25 (![X0 : $i]:
% 4.83/1.25 (~ (LE @ (f @ X0) @ (s @ (s @ 0)))
% 4.83/1.25 | (E @ (s @ 0) @ (f @ X0))
% 4.83/1.25 | (LE @ (f @ X0) @ (s @ 0)))),
% 4.83/1.25 inference('cnf', [status(esa)], [clause_740])).
% 4.83/1.25 thf(zip_derived_cl728, plain, (![X0 : $i]: (LE @ (f @ X0) @ (s @ (s @ 0)))),
% 4.83/1.25 inference('clc', [status(thm)], [zip_derived_cl720, zip_derived_cl716])).
% 4.83/1.25 thf(zip_derived_cl729, plain,
% 4.83/1.25 (![X0 : $i]: ( (E @ (s @ 0) @ (f @ X0)) | (LE @ (f @ X0) @ (s @ 0)))),
% 4.83/1.25 inference('demod', [status(thm)], [zip_derived_cl4, zip_derived_cl728])).
% 4.83/1.25 thf(zip_derived_cl735, plain, (![X0 : $i]: (LE @ (f @ X0) @ (s @ 0))),
% 4.83/1.25 inference('clc', [status(thm)], [zip_derived_cl733, zip_derived_cl729])).
% 4.83/1.25 thf(zip_derived_cl737, plain,
% 4.83/1.25 (![X0 : $i]: ( (E @ 0 @ (f @ (suc @ X0))) | (LE @ (f @ X0) @ 0))),
% 4.83/1.25 inference('demod', [status(thm)], [zip_derived_cl21, zip_derived_cl735])).
% 4.83/1.25 thf(clause_421, axiom,
% 4.83/1.25 (( ~( E @ 0 @ ( f @ B_1165 ) ) ) |
% 4.83/1.25 ( ~( iLEQ @ ( suc @ B_1162 ) @ ( suc @ B_1163 ) ) ) |
% 4.83/1.25 ( ~( E @ 0 @ ( f @ ( suc @ B_1163 ) ) ) ) |
% 4.83/1.25 ( ~( iLEQ @ ( suc @ A_5 ) @ ( suc @ B_1162 ) ) ) |
% 4.83/1.25 ( ~( E @ 0 @ ( f @ A_5 ) ) ) | ( ~( E @ 0 @ ( f @ B_1162 ) ) ) |
% 4.83/1.25 ( ~( E @ 0 @ ( f @ B_1164 ) ) ) |
% 4.83/1.25 ( ~( E @ 0 @ ( f @ ( suc @ A_5 ) ) ) ) |
% 4.83/1.25 ( ~( E @ 0 @ ( f @ ( suc @ B_1166 ) ) ) ) |
% 4.83/1.25 ( ~( E @ 0 @ ( f @ B_1166 ) ) ) |
% 4.83/1.25 ( ~( iLEQ @ ( suc @ B_1165 ) @ ( suc @ B_1166 ) ) ) |
% 4.83/1.25 ( ~( iLEQ @ ( suc @ B_1163 ) @ ( suc @ B_1164 ) ) ) |
% 4.83/1.25 ( ~( E @ 0 @ ( f @ ( suc @ B_1165 ) ) ) ) |
% 4.83/1.25 ( ~( E @ 0 @ ( f @ ( suc @ B_1164 ) ) ) ) |
% 4.83/1.25 ( ~( E @ 0 @ ( f @ ( suc @ B_1162 ) ) ) ) |
% 4.83/1.25 ( ~( iLEQ @ ( suc @ B_1164 ) @ ( suc @ B_1165 ) ) ) |
% 4.83/1.25 ( ~( E @ 0 @ ( f @ B_1163 ) ) ))).
% 4.83/1.25 thf(zip_derived_cl12, plain,
% 4.83/1.25 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 4.83/1.25 (~ (E @ 0 @ (f @ X0))
% 4.83/1.25 | ~ (iLEQ @ (suc @ X1) @ (suc @ X2))
% 4.83/1.25 | ~ (E @ 0 @ (f @ (suc @ X2)))
% 4.83/1.25 | ~ (iLEQ @ (suc @ X3) @ (suc @ X1))
% 4.83/1.25 | ~ (E @ 0 @ (f @ X3))
% 4.83/1.25 | ~ (E @ 0 @ (f @ X1))
% 4.83/1.25 | ~ (E @ 0 @ (f @ X4))
% 4.83/1.25 | ~ (E @ 0 @ (f @ (suc @ X3)))
% 4.83/1.25 | ~ (E @ 0 @ (f @ (suc @ X5)))
% 4.83/1.25 | ~ (E @ 0 @ (f @ X5))
% 4.83/1.25 | ~ (iLEQ @ (suc @ X0) @ (suc @ X5))
% 4.83/1.25 | ~ (iLEQ @ (suc @ X2) @ (suc @ X4))
% 4.83/1.25 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 4.83/1.25 | ~ (E @ 0 @ (f @ (suc @ X4)))
% 4.83/1.25 | ~ (E @ 0 @ (f @ (suc @ X1)))
% 4.83/1.25 | ~ (iLEQ @ (suc @ X4) @ (suc @ X0))
% 4.83/1.25 | ~ (E @ 0 @ (f @ X2)))),
% 4.83/1.25 inference('cnf', [status(esa)], [clause_421])).
% 4.83/1.25 thf(zip_derived_cl30, plain,
% 4.83/1.25 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 4.83/1.25 (~ (E @ 0 @ (f @ X0))
% 4.83/1.25 | ~ (iLEQ @ (suc @ X2) @ (suc @ X1))
% 4.83/1.25 | ~ (E @ 0 @ (f @ (suc @ X3)))
% 4.83/1.25 | ~ (E @ 0 @ (f @ (suc @ X2)))
% 4.83/1.25 | ~ (E @ 0 @ (f @ (suc @ X1)))
% 4.83/1.25 | ~ (iLEQ @ (suc @ X0) @ (suc @ X2))
% 4.83/1.25 | ~ (iLEQ @ (suc @ X1) @ (suc @ X4))
% 4.83/1.25 | ~ (E @ 0 @ (f @ X4))
% 4.83/1.25 | ~ (E @ 0 @ (f @ (suc @ X4)))
% 4.83/1.25 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 4.83/1.25 | ~ (E @ 0 @ (f @ X2))
% 4.83/1.25 | ~ (E @ 0 @ (f @ X3))
% 4.83/1.25 | ~ (E @ 0 @ (f @ X0))
% 4.83/1.25 | ~ (iLEQ @ (suc @ X0) @ (suc @ X3))
% 4.83/1.25 | ~ (iLEQ @ (suc @ X3) @ (suc @ X0))
% 4.83/1.25 | ~ (E @ 0 @ (f @ X1)))),
% 4.83/1.25 inference('eq_fact', [status(thm)], [zip_derived_cl12])).
% 4.83/1.25 thf(zip_derived_cl35, plain,
% 4.83/1.25 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 4.83/1.25 (~ (E @ 0 @ (f @ X1))
% 4.83/1.25 | ~ (iLEQ @ (suc @ X3) @ (suc @ X0))
% 4.83/1.25 | ~ (iLEQ @ (suc @ X0) @ (suc @ X3))
% 4.83/1.25 | ~ (E @ 0 @ (f @ X3))
% 4.83/1.25 | ~ (E @ 0 @ (f @ X2))
% 4.83/1.25 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 4.83/1.25 | ~ (E @ 0 @ (f @ (suc @ X4)))
% 4.83/1.25 | ~ (E @ 0 @ (f @ X4))
% 4.83/1.25 | ~ (iLEQ @ (suc @ X1) @ (suc @ X4))
% 4.83/1.25 | ~ (iLEQ @ (suc @ X0) @ (suc @ X2))
% 4.83/1.25 | ~ (E @ 0 @ (f @ (suc @ X1)))
% 4.83/1.25 | ~ (E @ 0 @ (f @ (suc @ X2)))
% 4.83/1.25 | ~ (E @ 0 @ (f @ (suc @ X3)))
% 4.83/1.25 | ~ (iLEQ @ (suc @ X2) @ (suc @ X1))
% 4.83/1.25 | ~ (E @ 0 @ (f @ X0)))),
% 4.83/1.25 inference('simplify', [status(thm)], [zip_derived_cl30])).
% 4.83/1.25 thf(zip_derived_cl143, plain,
% 4.83/1.25 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 4.83/1.25 (~ (E @ 0 @ (f @ X0))
% 4.83/1.25 | ~ (iLEQ @ (suc @ X2) @ (suc @ X1))
% 4.83/1.25 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 4.83/1.25 | ~ (E @ 0 @ (f @ (suc @ X2)))
% 4.83/1.25 | ~ (E @ 0 @ (f @ (suc @ X1)))
% 4.83/1.25 | ~ (iLEQ @ (suc @ X0) @ (suc @ X2))
% 4.83/1.25 | ~ (iLEQ @ (suc @ X1) @ (suc @ X3))
% 4.83/1.25 | ~ (E @ 0 @ (f @ X3))
% 4.83/1.25 | ~ (E @ 0 @ (f @ (suc @ X3)))
% 4.83/1.25 | ~ (E @ 0 @ (f @ X2))
% 4.83/1.25 | ~ (E @ 0 @ (f @ X0))
% 4.83/1.25 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 4.83/1.25 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 4.83/1.25 | ~ (E @ 0 @ (f @ X1)))),
% 4.83/1.25 inference('eq_fact', [status(thm)], [zip_derived_cl35])).
% 4.83/1.25 thf(zip_derived_cl147, plain,
% 4.83/1.25 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 4.83/1.25 (~ (E @ 0 @ (f @ X1))
% 4.83/1.25 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 4.83/1.25 | ~ (E @ 0 @ (f @ X2))
% 4.83/1.25 | ~ (E @ 0 @ (f @ (suc @ X3)))
% 4.83/1.25 | ~ (E @ 0 @ (f @ X3))
% 4.83/1.25 | ~ (iLEQ @ (suc @ X1) @ (suc @ X3))
% 4.83/1.25 | ~ (iLEQ @ (suc @ X0) @ (suc @ X2))
% 4.83/1.25 | ~ (E @ 0 @ (f @ (suc @ X1)))
% 4.83/1.25 | ~ (E @ 0 @ (f @ (suc @ X2)))
% 4.83/1.25 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 4.83/1.25 | ~ (iLEQ @ (suc @ X2) @ (suc @ X1))
% 4.83/1.25 | ~ (E @ 0 @ (f @ X0)))),
% 4.83/1.25 inference('simplify', [status(thm)], [zip_derived_cl143])).
% 4.83/1.25 thf(zip_derived_cl148, plain,
% 4.83/1.25 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.83/1.25 (~ (E @ 0 @ (f @ X1))
% 4.83/1.25 | ~ (iLEQ @ (suc @ X2) @ (suc @ X0))
% 4.83/1.25 | ~ (E @ 0 @ (f @ (suc @ X1)))
% 4.83/1.25 | ~ (E @ 0 @ (f @ (suc @ X2)))
% 4.83/1.25 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 4.83/1.25 | ~ (iLEQ @ (suc @ X1) @ (suc @ X2))
% 4.83/1.25 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 4.83/1.25 | ~ (E @ 0 @ (f @ X0))
% 4.83/1.25 | ~ (E @ 0 @ (f @ X2))
% 4.83/1.25 | ~ (iLEQ @ (suc @ X1) @ (suc @ X1))
% 4.83/1.25 | ~ (E @ 0 @ (f @ X0)))),
% 4.83/1.25 inference('eq_fact', [status(thm)], [zip_derived_cl147])).
% 4.83/1.25 thf(zip_derived_cl151, plain,
% 4.83/1.25 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.83/1.25 (~ (iLEQ @ (suc @ X1) @ (suc @ X1))
% 4.83/1.25 | ~ (E @ 0 @ (f @ X2))
% 4.83/1.25 | ~ (E @ 0 @ (f @ X0))
% 4.83/1.25 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 4.83/1.25 | ~ (iLEQ @ (suc @ X1) @ (suc @ X2))
% 4.83/1.25 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 4.83/1.25 | ~ (E @ 0 @ (f @ (suc @ X2)))
% 4.83/1.25 | ~ (E @ 0 @ (f @ (suc @ X1)))
% 4.83/1.25 | ~ (iLEQ @ (suc @ X2) @ (suc @ X0))
% 4.83/1.25 | ~ (E @ 0 @ (f @ X1)))),
% 4.83/1.25 inference('simplify', [status(thm)], [zip_derived_cl148])).
% 4.83/1.25 thf(zip_derived_cl154, plain,
% 4.83/1.25 (![X0 : $i, X1 : $i]:
% 4.83/1.25 (~ (E @ 0 @ (f @ X1))
% 4.83/1.25 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 4.83/1.25 | ~ (E @ 0 @ (f @ (suc @ X1)))
% 4.83/1.25 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 4.83/1.25 | ~ (iLEQ @ (suc @ X1) @ (suc @ X0))
% 4.83/1.25 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 4.83/1.25 | ~ (E @ 0 @ (f @ X0))
% 4.83/1.25 | ~ (E @ 0 @ (f @ X0))
% 4.83/1.25 | ~ (iLEQ @ (suc @ X1) @ (suc @ X1)))),
% 4.83/1.25 inference('eq_fact', [status(thm)], [zip_derived_cl151])).
% 4.83/1.25 thf(zip_derived_cl156, plain,
% 4.83/1.25 (![X0 : $i, X1 : $i]:
% 4.83/1.25 (~ (iLEQ @ (suc @ X1) @ (suc @ X1))
% 4.83/1.25 | ~ (E @ 0 @ (f @ X0))
% 4.83/1.25 | ~ (iLEQ @ (suc @ X1) @ (suc @ X0))
% 4.83/1.25 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 4.83/1.25 | ~ (E @ 0 @ (f @ (suc @ X1)))
% 4.83/1.25 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 4.83/1.25 | ~ (E @ 0 @ (f @ X1)))),
% 4.83/1.25 inference('simplify', [status(thm)], [zip_derived_cl154])).
% 4.83/1.25 thf(clause_2293, axiom,
% 4.83/1.25 (( ~( E @ 0 @ ( f @ A_5 ) ) ) | ( ~( E @ 0 @ ( f @ ( suc @ A_5 ) ) ) ) |
% 4.83/1.25 ( iLEQ @ ( suc @ A_5 ) @ ( suc @ A_5 ) ))).
% 4.83/1.25 thf(zip_derived_cl9, plain,
% 4.83/1.25 (![X0 : $i]:
% 4.83/1.25 (~ (E @ 0 @ (f @ X0))
% 4.83/1.25 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 4.83/1.25 | (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 4.83/1.25 inference('cnf', [status(esa)], [clause_2293])).
% 4.83/1.25 thf(zip_derived_cl158, plain,
% 4.83/1.25 (![X0 : $i, X1 : $i]:
% 4.83/1.25 (~ (E @ 0 @ (f @ X1))
% 4.83/1.25 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 4.83/1.25 | ~ (E @ 0 @ (f @ (suc @ X1)))
% 4.83/1.25 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 4.83/1.25 | ~ (iLEQ @ (suc @ X1) @ (suc @ X0))
% 4.83/1.25 | ~ (E @ 0 @ (f @ X0)))),
% 4.83/1.25 inference('clc', [status(thm)], [zip_derived_cl156, zip_derived_cl9])).
% 4.83/1.25 thf(zip_derived_cl9, plain,
% 4.83/1.25 (![X0 : $i]:
% 4.83/1.25 (~ (E @ 0 @ (f @ X0))
% 4.83/1.25 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 4.83/1.25 | (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 4.83/1.25 inference('cnf', [status(esa)], [clause_2293])).
% 4.83/1.25 thf(zip_derived_cl159, plain,
% 4.83/1.25 (![X0 : $i, X1 : $i]:
% 4.83/1.25 (~ (E @ 0 @ (f @ X0))
% 4.83/1.25 | ~ (iLEQ @ (suc @ X1) @ (suc @ X0))
% 4.83/1.25 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 4.83/1.25 | ~ (E @ 0 @ (f @ (suc @ X1)))
% 4.83/1.25 | ~ (E @ 0 @ (f @ X1)))),
% 4.83/1.25 inference('clc', [status(thm)], [zip_derived_cl158, zip_derived_cl9])).
% 4.83/1.25 thf(zip_derived_cl160, plain,
% 4.83/1.25 (![X0 : $i]:
% 4.83/1.25 (~ (E @ 0 @ (f @ X0))
% 4.83/1.25 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 4.83/1.25 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 4.83/1.25 | ~ (E @ 0 @ (f @ X0)))),
% 4.83/1.25 inference('eq_fact', [status(thm)], [zip_derived_cl159])).
% 4.83/1.25 thf(zip_derived_cl161, plain,
% 4.83/1.25 (![X0 : $i]:
% 4.83/1.25 (~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 4.83/1.25 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 4.83/1.25 | ~ (E @ 0 @ (f @ X0)))),
% 4.83/1.25 inference('simplify', [status(thm)], [zip_derived_cl160])).
% 4.83/1.25 thf(zip_derived_cl9, plain,
% 4.83/1.25 (![X0 : $i]:
% 4.83/1.25 (~ (E @ 0 @ (f @ X0))
% 4.83/1.25 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 4.83/1.25 | (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 4.83/1.25 inference('cnf', [status(esa)], [clause_2293])).
% 4.83/1.25 thf(zip_derived_cl162, plain,
% 4.83/1.25 (![X0 : $i]: (~ (E @ 0 @ (f @ X0)) | ~ (E @ 0 @ (f @ (suc @ X0))))),
% 4.83/1.25 inference('clc', [status(thm)], [zip_derived_cl161, zip_derived_cl9])).
% 4.83/1.25 thf(zip_derived_cl741, plain,
% 4.83/1.25 (![X0 : $i]: ( (LE @ (f @ X0) @ 0) | ~ (E @ 0 @ (f @ X0)))),
% 4.83/1.25 inference('sup-', [status(thm)], [zip_derived_cl737, zip_derived_cl162])).
% 4.83/1.25 thf(clause_328, axiom,
% 4.83/1.25 (( ~( LE @ ( f @ B_1161 ) @ ( s @ 0 ) ) ) | ( E @ 0 @ ( f @ B_1161 ) ) |
% 4.83/1.25 ( LE @ ( f @ B_1161 ) @ 0 ))).
% 4.83/1.25 thf(zip_derived_cl7, plain,
% 4.83/1.25 (![X0 : $i]:
% 4.83/1.25 (~ (LE @ (f @ X0) @ (s @ 0))
% 4.83/1.25 | (E @ 0 @ (f @ X0))
% 4.83/1.25 | (LE @ (f @ X0) @ 0))),
% 4.83/1.25 inference('cnf', [status(esa)], [clause_328])).
% 4.83/1.25 thf(zip_derived_cl735, plain, (![X0 : $i]: (LE @ (f @ X0) @ (s @ 0))),
% 4.83/1.25 inference('clc', [status(thm)], [zip_derived_cl733, zip_derived_cl729])).
% 4.83/1.25 thf(zip_derived_cl736, plain,
% 4.83/1.25 (![X0 : $i]: ( (E @ 0 @ (f @ X0)) | (LE @ (f @ X0) @ 0))),
% 4.83/1.25 inference('demod', [status(thm)], [zip_derived_cl7, zip_derived_cl735])).
% 4.83/1.25 thf(zip_derived_cl742, plain, (![X0 : $i]: (LE @ (f @ X0) @ 0)),
% 4.83/1.25 inference('clc', [status(thm)], [zip_derived_cl741, zip_derived_cl736])).
% 4.83/1.25 thf(zip_derived_cl743, plain, ($false),
% 4.83/1.25 inference('demod', [status(thm)], [zip_derived_cl10, zip_derived_cl742])).
% 4.83/1.25
% 4.83/1.25 % SZS output end Refutation
% 4.83/1.25
% 4.83/1.25
% 4.83/1.25 % Terminating...
% 4.83/1.31 % Runner terminated.
% 4.83/1.33 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------