TSTP Solution File: SYO655-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYO655-1 : 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.BjF36njeGG true
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 1 05:52:26 EDT 2023
% Result : Unsatisfiable 1.36s 0.94s
% Output : Refutation 1.36s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SYO655-1 : TPTP v8.1.2. Released v7.3.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.BjF36njeGG true
% 0.14/0.35 % Computer : n020.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sat Aug 26 06:29:44 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
% 0.21/0.67 % Total configuration time : 435
% 0.21/0.67 % Estimated wc time : 1092
% 0.21/0.67 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.72 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.83/0.75 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.83/0.77 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.83/0.77 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.83/0.77 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.83/0.78 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.83/0.78 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.36/0.94 % Solved by fo/fo7.sh.
% 1.36/0.94 % done 41 iterations in 0.143s
% 1.36/0.94 % SZS status Unsatisfiable for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.36/0.94 % SZS output start Refutation
% 1.36/0.94 thf(suc_type, type, suc: $i > $i).
% 1.36/0.94 thf(f_type, type, f: $i > $i).
% 1.36/0.94 thf(z_type, type, z: $i).
% 1.36/0.94 thf(LE_type, type, LE: $i > $i > $o).
% 1.36/0.94 thf(iLEQ_type, type, iLEQ: $i > $i > $o).
% 1.36/0.94 thf(0_type, type, 0: $i).
% 1.36/0.94 thf(E_type, type, E: $i > $i > $o).
% 1.36/0.94 thf(s_type, type, s: $i > $i).
% 1.36/0.94 thf(clause_379, axiom,
% 1.36/0.94 (( ~( E @ 0 @ ( f @ ( suc @ ( suc @ A_1 ) ) ) ) ) |
% 1.36/0.94 ( ~( E @ 0 @ ( f @ ( suc @ A_1 ) ) ) ) |
% 1.36/0.94 ( ~( E @ ( f @ A_1 ) @ ( f @ ( suc @ A_1 ) ) ) ) |
% 1.36/0.94 ( ~( E @ 0 @ ( f @ A_1 ) ) ) | ( iLEQ @ ( suc @ A_1 ) @ ( suc @ A_1 ) ))).
% 1.36/0.94 thf(zip_derived_cl21, plain,
% 1.36/0.94 (![X0 : $i]:
% 1.36/0.94 (~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 1.36/0.94 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 1.36/0.94 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.36/0.94 | ~ (E @ 0 @ (f @ X0))
% 1.36/0.94 | (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 1.36/0.94 inference('cnf', [status(esa)], [clause_379])).
% 1.36/0.94 thf(clause_513, axiom,
% 1.36/0.94 (( ~( LE @ ( f @ B_16 ) @ ( s @ 0 ) ) ) | ( E @ 0 @ ( f @ B_16 ) ) |
% 1.36/0.94 ( LE @ ( f @ B_16 ) @ 0 ))).
% 1.36/0.94 thf(zip_derived_cl36, plain,
% 1.36/0.94 (![X0 : $i]:
% 1.36/0.94 (~ (LE @ (f @ X0) @ (s @ 0))
% 1.36/0.94 | (E @ 0 @ (f @ X0))
% 1.36/0.94 | (LE @ (f @ X0) @ 0))),
% 1.36/0.94 inference('cnf', [status(esa)], [clause_513])).
% 1.36/0.94 thf(clause_497, axiom, (LE @ ( f @ A ) @ ( s @ 0 ))).
% 1.36/0.94 thf(zip_derived_cl34, plain, (![X0 : $i]: (LE @ (f @ X0) @ (s @ 0))),
% 1.36/0.94 inference('cnf', [status(esa)], [clause_497])).
% 1.36/0.94 thf(zip_derived_cl39, plain,
% 1.36/0.94 (![X0 : $i]: ( (E @ 0 @ (f @ X0)) | (LE @ (f @ X0) @ 0))),
% 1.36/0.94 inference('demod', [status(thm)], [zip_derived_cl36, zip_derived_cl34])).
% 1.36/0.94 thf(clause_269, axiom, (~( LE @ ( f @ z ) @ 0 ))).
% 1.36/0.94 thf(zip_derived_cl10, plain, (~ (LE @ (f @ z) @ 0)),
% 1.36/0.94 inference('cnf', [status(esa)], [clause_269])).
% 1.36/0.94 thf(zip_derived_cl40, plain, ( (E @ 0 @ (f @ z))),
% 1.36/0.94 inference('sup-', [status(thm)], [zip_derived_cl39, zip_derived_cl10])).
% 1.36/0.94 thf(zip_derived_cl40, plain, ( (E @ 0 @ (f @ z))),
% 1.36/0.94 inference('sup-', [status(thm)], [zip_derived_cl39, zip_derived_cl10])).
% 1.36/0.94 thf(clause_125, axiom,
% 1.36/0.94 (( ~( E @ 0 @ ( f @ ( suc @ ( suc @ B_18 ) ) ) ) ) |
% 1.36/0.94 ( ~( E @ 0 @ ( f @ ( suc @ B_19 ) ) ) ) |
% 1.36/0.94 ( ~( iLEQ @ ( suc @ B_18 ) @ ( suc @ B_19 ) ) ) |
% 1.36/0.94 ( ~( E @ 0 @ ( f @ ( suc @ A_1 ) ) ) ) |
% 1.36/0.94 ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ A_1 ) ) ) ) ) |
% 1.36/0.94 ( ~( E @ 0 @ ( f @ ( suc @ B_17 ) ) ) ) |
% 1.36/0.94 ( ~( iLEQ @ ( suc @ B_17 ) @ ( suc @ B_18 ) ) ) |
% 1.36/0.94 ( ~( E @ 0 @ ( f @ B_19 ) ) ) |
% 1.36/0.94 ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ B_19 ) ) ) ) ) |
% 1.36/0.94 ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ B_20 ) ) ) ) ) |
% 1.36/0.94 ( ~( E @ 0 @ ( f @ A_1 ) ) ) |
% 1.36/0.94 ( ~( E @ ( f @ B_18 ) @ ( f @ ( suc @ B_18 ) ) ) ) |
% 1.36/0.94 ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ B_17 ) ) ) ) ) |
% 1.36/0.94 ( ~( iLEQ @ ( suc @ B_19 ) @ ( suc @ B_20 ) ) ) |
% 1.36/0.94 ( ~( E @ 0 @ ( f @ B_18 ) ) ) | ( ~( E @ 0 @ ( f @ B_17 ) ) ) |
% 1.36/0.94 ( ~( E @ 0 @ ( f @ ( suc @ B_18 ) ) ) ) |
% 1.36/0.94 ( ~( E @ ( f @ A_1 ) @ ( f @ ( suc @ A_1 ) ) ) ) |
% 1.36/0.94 ( ~( E @ ( f @ B_19 ) @ ( f @ ( suc @ B_19 ) ) ) ) |
% 1.36/0.94 ( ~( E @ ( f @ B_20 ) @ ( f @ ( suc @ B_20 ) ) ) ) |
% 1.36/0.94 ( ~( E @ 0 @ ( f @ B_20 ) ) ) | ( ~( E @ 0 @ ( f @ ( suc @ B_20 ) ) ) ) |
% 1.36/0.94 ( ~( E @ ( f @ B_17 ) @ ( f @ ( suc @ B_17 ) ) ) ) |
% 1.36/0.94 ( ~( iLEQ @ ( suc @ A_1 ) @ ( suc @ B_17 ) ) ))).
% 1.36/0.94 thf(zip_derived_cl14, plain,
% 1.36/0.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.36/0.94 (~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 1.36/0.94 | ~ (E @ 0 @ (f @ (suc @ X1)))
% 1.36/0.94 | ~ (iLEQ @ (suc @ X0) @ (suc @ X1))
% 1.36/0.94 | ~ (E @ 0 @ (f @ (suc @ X2)))
% 1.36/0.94 | ~ (E @ 0 @ (f @ (suc @ (suc @ X2))))
% 1.36/0.94 | ~ (E @ 0 @ (f @ (suc @ X3)))
% 1.36/0.94 | ~ (iLEQ @ (suc @ X3) @ (suc @ X0))
% 1.36/0.94 | ~ (E @ 0 @ (f @ X1))
% 1.36/0.94 | ~ (E @ 0 @ (f @ (suc @ (suc @ X1))))
% 1.36/0.94 | ~ (E @ 0 @ (f @ (suc @ (suc @ X4))))
% 1.36/0.94 | ~ (E @ 0 @ (f @ X2))
% 1.36/0.94 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.36/0.94 | ~ (E @ 0 @ (f @ (suc @ (suc @ X3))))
% 1.36/0.94 | ~ (iLEQ @ (suc @ X1) @ (suc @ X4))
% 1.36/0.94 | ~ (E @ 0 @ (f @ X0))
% 1.36/0.94 | ~ (E @ 0 @ (f @ X3))
% 1.36/0.94 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 1.36/0.94 | ~ (E @ (f @ X2) @ (f @ (suc @ X2)))
% 1.36/0.94 | ~ (E @ (f @ X1) @ (f @ (suc @ X1)))
% 1.36/0.94 | ~ (E @ (f @ X4) @ (f @ (suc @ X4)))
% 1.36/0.94 | ~ (E @ 0 @ (f @ X4))
% 1.36/0.94 | ~ (E @ 0 @ (f @ (suc @ X4)))
% 1.36/0.94 | ~ (E @ (f @ X3) @ (f @ (suc @ X3)))
% 1.36/0.94 | ~ (iLEQ @ (suc @ X2) @ (suc @ X3)))),
% 1.36/0.94 inference('cnf', [status(esa)], [clause_125])).
% 1.36/0.94 thf(zip_derived_cl41, plain,
% 1.36/0.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.36/0.94 (~ (iLEQ @ (suc @ X1) @ (suc @ X0))
% 1.36/0.94 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.36/0.94 | ~ (E @ 0 @ (f @ (suc @ X2)))
% 1.36/0.94 | ~ (E @ 0 @ (f @ X2))
% 1.36/0.94 | ~ (E @ (f @ X2) @ (f @ (suc @ X2)))
% 1.36/0.94 | ~ (E @ (f @ z) @ (f @ (suc @ z)))
% 1.36/0.94 | ~ (E @ (f @ X1) @ (f @ (suc @ X1)))
% 1.36/0.94 | ~ (E @ 0 @ (f @ (suc @ X3)))
% 1.36/0.94 | ~ (E @ 0 @ (f @ X0))
% 1.36/0.94 | ~ (E @ 0 @ (f @ X3))
% 1.36/0.94 | ~ (iLEQ @ (suc @ z) @ (suc @ X2))
% 1.36/0.94 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 1.36/0.94 | ~ (E @ (f @ X3) @ (f @ (suc @ X3)))
% 1.36/0.94 | ~ (E @ 0 @ (f @ X1))
% 1.36/0.94 | ~ (E @ 0 @ (f @ (suc @ (suc @ X2))))
% 1.36/0.94 | ~ (E @ 0 @ (f @ (suc @ (suc @ z))))
% 1.36/0.94 | ~ (iLEQ @ (suc @ X0) @ (suc @ X3))
% 1.36/0.94 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 1.36/0.94 | ~ (E @ 0 @ (f @ (suc @ (suc @ X1))))
% 1.36/0.94 | ~ (E @ 0 @ (f @ (suc @ X1)))
% 1.36/0.94 | ~ (iLEQ @ (suc @ X3) @ (suc @ z))
% 1.36/0.94 | ~ (E @ 0 @ (f @ (suc @ z)))
% 1.36/0.94 | ~ (E @ 0 @ (f @ (suc @ (suc @ X3)))))),
% 1.36/0.94 inference('sup-', [status(thm)], [zip_derived_cl40, zip_derived_cl14])).
% 1.36/0.94 thf(clause_72, axiom,
% 1.36/0.94 (( ~( LE @ ( f @ ( suc @ ( suc @ B_16 ) ) ) @ ( s @ 0 ) ) ) |
% 1.36/0.94 ( E @ 0 @ ( f @ ( suc @ ( suc @ B_16 ) ) ) ) | ( LE @ ( f @ B_16 ) @ 0 ))).
% 1.36/0.94 thf(zip_derived_cl33, plain,
% 1.36/0.94 (![X0 : $i]:
% 1.36/0.94 (~ (LE @ (f @ (suc @ (suc @ X0))) @ (s @ 0))
% 1.36/0.94 | (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 1.36/0.94 | (LE @ (f @ X0) @ 0))),
% 1.36/0.94 inference('cnf', [status(esa)], [clause_72])).
% 1.36/0.94 thf(zip_derived_cl34, plain, (![X0 : $i]: (LE @ (f @ X0) @ (s @ 0))),
% 1.36/0.94 inference('cnf', [status(esa)], [clause_497])).
% 1.36/0.94 thf(zip_derived_cl45, plain,
% 1.36/0.94 (![X0 : $i]: ( (E @ 0 @ (f @ (suc @ (suc @ X0)))) | (LE @ (f @ X0) @ 0))),
% 1.36/0.94 inference('demod', [status(thm)], [zip_derived_cl33, zip_derived_cl34])).
% 1.36/0.94 thf(zip_derived_cl10, plain, (~ (LE @ (f @ z) @ 0)),
% 1.36/0.94 inference('cnf', [status(esa)], [clause_269])).
% 1.36/0.94 thf(zip_derived_cl46, plain, ( (E @ 0 @ (f @ (suc @ (suc @ z))))),
% 1.36/0.94 inference('sup-', [status(thm)], [zip_derived_cl45, zip_derived_cl10])).
% 1.36/0.94 thf(clause_5, axiom,
% 1.36/0.94 (( ~( LE @ ( f @ ( suc @ B_16 ) ) @ ( s @ 0 ) ) ) |
% 1.36/0.94 ( E @ 0 @ ( f @ ( suc @ B_16 ) ) ) | ( LE @ ( f @ B_16 ) @ 0 ))).
% 1.36/0.94 thf(zip_derived_cl8, plain,
% 1.36/0.94 (![X0 : $i]:
% 1.36/0.94 (~ (LE @ (f @ (suc @ X0)) @ (s @ 0))
% 1.36/0.94 | (E @ 0 @ (f @ (suc @ X0)))
% 1.36/0.94 | (LE @ (f @ X0) @ 0))),
% 1.36/0.94 inference('cnf', [status(esa)], [clause_5])).
% 1.36/0.94 thf(zip_derived_cl34, plain, (![X0 : $i]: (LE @ (f @ X0) @ (s @ 0))),
% 1.36/0.94 inference('cnf', [status(esa)], [clause_497])).
% 1.36/0.94 thf(zip_derived_cl42, plain,
% 1.36/0.94 (![X0 : $i]: ( (E @ 0 @ (f @ (suc @ X0))) | (LE @ (f @ X0) @ 0))),
% 1.36/0.94 inference('demod', [status(thm)], [zip_derived_cl8, zip_derived_cl34])).
% 1.36/0.94 thf(zip_derived_cl10, plain, (~ (LE @ (f @ z) @ 0)),
% 1.36/0.94 inference('cnf', [status(esa)], [clause_269])).
% 1.36/0.94 thf(zip_derived_cl43, plain, ( (E @ 0 @ (f @ (suc @ z)))),
% 1.36/0.94 inference('sup-', [status(thm)], [zip_derived_cl42, zip_derived_cl10])).
% 1.36/0.94 thf(zip_derived_cl63, plain,
% 1.36/0.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.36/0.94 (~ (iLEQ @ (suc @ X1) @ (suc @ X0))
% 1.36/0.94 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.36/0.94 | ~ (E @ 0 @ (f @ (suc @ X2)))
% 1.36/0.94 | ~ (E @ 0 @ (f @ X2))
% 1.36/0.94 | ~ (E @ (f @ X2) @ (f @ (suc @ X2)))
% 1.36/0.94 | ~ (E @ (f @ z) @ (f @ (suc @ z)))
% 1.36/0.94 | ~ (E @ (f @ X1) @ (f @ (suc @ X1)))
% 1.36/0.94 | ~ (E @ 0 @ (f @ (suc @ X3)))
% 1.36/0.94 | ~ (E @ 0 @ (f @ X0))
% 1.36/0.94 | ~ (E @ 0 @ (f @ X3))
% 1.36/0.94 | ~ (iLEQ @ (suc @ z) @ (suc @ X2))
% 1.36/0.94 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 1.36/0.94 | ~ (E @ (f @ X3) @ (f @ (suc @ X3)))
% 1.36/0.94 | ~ (E @ 0 @ (f @ X1))
% 1.36/0.94 | ~ (E @ 0 @ (f @ (suc @ (suc @ X2))))
% 1.36/0.94 | ~ (iLEQ @ (suc @ X0) @ (suc @ X3))
% 1.36/0.94 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 1.36/0.94 | ~ (E @ 0 @ (f @ (suc @ (suc @ X1))))
% 1.36/0.94 | ~ (E @ 0 @ (f @ (suc @ X1)))
% 1.36/0.94 | ~ (iLEQ @ (suc @ X3) @ (suc @ z))
% 1.36/0.94 | ~ (E @ 0 @ (f @ (suc @ (suc @ X3)))))),
% 1.36/0.94 inference('demod', [status(thm)],
% 1.36/0.94 [zip_derived_cl41, zip_derived_cl46, zip_derived_cl43])).
% 1.36/0.94 thf(clause_84, axiom,
% 1.36/0.94 (( ~( E @ 0 @ ( f @ A_1 ) ) ) | ( ~( E @ 0 @ ( f @ ( suc @ A_1 ) ) ) ) |
% 1.36/0.94 ( E @ ( f @ A_1 ) @ ( f @ ( suc @ A_1 ) ) ) |
% 1.36/0.94 ( iLEQ @ ( suc @ A_1 ) @ ( suc @ A_1 ) ))).
% 1.36/0.94 thf(zip_derived_cl22, plain,
% 1.36/0.94 (![X0 : $i]:
% 1.36/0.94 (~ (E @ 0 @ (f @ X0))
% 1.36/0.94 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 1.36/0.94 | (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.36/0.94 | (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 1.36/0.94 inference('cnf', [status(esa)], [clause_84])).
% 1.36/0.94 thf(zip_derived_cl40, plain, ( (E @ 0 @ (f @ z))),
% 1.36/0.94 inference('sup-', [status(thm)], [zip_derived_cl39, zip_derived_cl10])).
% 1.36/0.94 thf(zip_derived_cl40, plain, ( (E @ 0 @ (f @ z))),
% 1.36/0.94 inference('sup-', [status(thm)], [zip_derived_cl39, zip_derived_cl10])).
% 1.36/0.94 thf(clause_209, axiom,
% 1.36/0.94 (( ~( E @ 0 @ ( f @ ( suc @ B_19 ) ) ) ) |
% 1.36/0.94 ( ~( iLEQ @ ( suc @ B_18 ) @ ( suc @ B_19 ) ) ) |
% 1.36/0.94 ( ~( E @ 0 @ ( f @ ( suc @ A_1 ) ) ) ) |
% 1.36/0.94 ( ~( E @ 0 @ ( f @ ( suc @ B_17 ) ) ) ) |
% 1.36/0.94 ( ~( iLEQ @ ( suc @ B_17 ) @ ( suc @ B_18 ) ) ) |
% 1.36/0.94 ( ~( E @ 0 @ ( f @ B_19 ) ) ) | ( ~( E @ 0 @ ( f @ A_1 ) ) ) |
% 1.36/0.94 ( ~( iLEQ @ ( suc @ B_19 ) @ ( suc @ B_20 ) ) ) |
% 1.36/0.94 ( ~( E @ 0 @ ( f @ B_18 ) ) ) | ( ~( E @ 0 @ ( f @ B_17 ) ) ) |
% 1.36/0.94 ( ~( E @ 0 @ ( f @ ( suc @ B_18 ) ) ) ) | ( ~( E @ 0 @ ( f @ B_20 ) ) ) |
% 1.36/0.94 ( ~( E @ 0 @ ( f @ ( suc @ B_20 ) ) ) ) |
% 1.36/0.94 ( ~( iLEQ @ ( suc @ A_1 ) @ ( suc @ B_17 ) ) ) |
% 1.36/0.94 ( E @ ( f @ B_18 ) @ ( f @ ( suc @ B_18 ) ) ) |
% 1.36/0.94 ( E @ ( f @ A_1 ) @ ( f @ ( suc @ A_1 ) ) ) |
% 1.36/0.94 ( E @ ( f @ B_19 ) @ ( f @ ( suc @ B_19 ) ) ) |
% 1.36/0.94 ( E @ ( f @ B_20 ) @ ( f @ ( suc @ B_20 ) ) ) |
% 1.36/0.94 ( E @ ( f @ B_17 ) @ ( f @ ( suc @ B_17 ) ) ))).
% 1.36/0.94 thf(zip_derived_cl15, plain,
% 1.36/0.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.36/0.94 (~ (E @ 0 @ (f @ (suc @ X0)))
% 1.36/0.94 | ~ (iLEQ @ (suc @ X1) @ (suc @ X0))
% 1.36/0.94 | ~ (E @ 0 @ (f @ (suc @ X2)))
% 1.36/0.94 | ~ (E @ 0 @ (f @ (suc @ X3)))
% 1.36/0.94 | ~ (iLEQ @ (suc @ X3) @ (suc @ X1))
% 1.36/0.94 | ~ (E @ 0 @ (f @ X0))
% 1.36/0.94 | ~ (E @ 0 @ (f @ X2))
% 1.36/0.94 | ~ (iLEQ @ (suc @ X0) @ (suc @ X4))
% 1.36/0.94 | ~ (E @ 0 @ (f @ X1))
% 1.36/0.94 | ~ (E @ 0 @ (f @ X3))
% 1.36/0.94 | ~ (E @ 0 @ (f @ (suc @ X1)))
% 1.36/0.94 | ~ (E @ 0 @ (f @ X4))
% 1.36/0.94 | ~ (E @ 0 @ (f @ (suc @ X4)))
% 1.36/0.94 | ~ (iLEQ @ (suc @ X2) @ (suc @ X3))
% 1.36/0.94 | (E @ (f @ X1) @ (f @ (suc @ X1)))
% 1.36/0.94 | (E @ (f @ X2) @ (f @ (suc @ X2)))
% 1.36/0.94 | (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.36/0.94 | (E @ (f @ X4) @ (f @ (suc @ X4)))
% 1.36/0.94 | (E @ (f @ X3) @ (f @ (suc @ X3))))),
% 1.36/0.94 inference('cnf', [status(esa)], [clause_209])).
% 1.36/0.94 thf(zip_derived_cl69, plain,
% 1.36/0.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.36/0.94 ( (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.36/0.94 | (E @ (f @ X1) @ (f @ (suc @ X1)))
% 1.36/0.94 | (E @ (f @ z) @ (f @ (suc @ z)))
% 1.36/0.94 | (E @ (f @ X2) @ (f @ (suc @ X2)))
% 1.36/0.94 | (E @ (f @ X3) @ (f @ (suc @ X3)))
% 1.36/0.94 | ~ (iLEQ @ (suc @ X2) @ (suc @ X0))
% 1.36/0.94 | ~ (E @ 0 @ (f @ (suc @ X1)))
% 1.36/0.94 | ~ (E @ 0 @ (f @ X1))
% 1.36/0.94 | ~ (E @ 0 @ (f @ (suc @ X3)))
% 1.36/0.94 | ~ (E @ 0 @ (f @ X0))
% 1.36/0.94 | ~ (E @ 0 @ (f @ X3))
% 1.36/0.94 | ~ (iLEQ @ (suc @ z) @ (suc @ X1))
% 1.36/0.94 | ~ (E @ 0 @ (f @ X2))
% 1.36/0.94 | ~ (iLEQ @ (suc @ X0) @ (suc @ X3))
% 1.36/0.94 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 1.36/0.94 | ~ (E @ 0 @ (f @ (suc @ X2)))
% 1.36/0.94 | ~ (iLEQ @ (suc @ X3) @ (suc @ z))
% 1.36/0.94 | ~ (E @ 0 @ (f @ (suc @ z))))),
% 1.36/0.94 inference('sup-', [status(thm)], [zip_derived_cl40, zip_derived_cl15])).
% 1.36/0.94 thf(zip_derived_cl43, plain, ( (E @ 0 @ (f @ (suc @ z)))),
% 1.36/0.94 inference('sup-', [status(thm)], [zip_derived_cl42, zip_derived_cl10])).
% 1.36/0.94 thf(zip_derived_cl72, plain,
% 1.36/0.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.36/0.94 ( (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.36/0.94 | (E @ (f @ X1) @ (f @ (suc @ X1)))
% 1.36/0.94 | (E @ (f @ z) @ (f @ (suc @ z)))
% 1.36/0.94 | (E @ (f @ X2) @ (f @ (suc @ X2)))
% 1.36/0.94 | (E @ (f @ X3) @ (f @ (suc @ X3)))
% 1.36/0.94 | ~ (iLEQ @ (suc @ X2) @ (suc @ X0))
% 1.36/0.94 | ~ (E @ 0 @ (f @ (suc @ X1)))
% 1.36/0.94 | ~ (E @ 0 @ (f @ X1))
% 1.36/0.94 | ~ (E @ 0 @ (f @ (suc @ X3)))
% 1.36/0.94 | ~ (E @ 0 @ (f @ X0))
% 1.36/0.94 | ~ (E @ 0 @ (f @ X3))
% 1.36/0.94 | ~ (iLEQ @ (suc @ z) @ (suc @ X1))
% 1.36/0.94 | ~ (E @ 0 @ (f @ X2))
% 1.36/0.94 | ~ (iLEQ @ (suc @ X0) @ (suc @ X3))
% 1.36/0.94 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 1.36/0.94 | ~ (E @ 0 @ (f @ (suc @ X2)))
% 1.36/0.94 | ~ (iLEQ @ (suc @ X3) @ (suc @ z)))),
% 1.36/0.94 inference('demod', [status(thm)], [zip_derived_cl69, zip_derived_cl43])).
% 1.36/0.94 thf(zip_derived_cl74, plain,
% 1.36/0.94 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.36/0.94 (~ (iLEQ @ (suc @ X0) @ (suc @ z))
% 1.36/0.94 | ~ (E @ 0 @ (f @ (suc @ X1)))
% 1.36/0.94 | ~ (E @ 0 @ (f @ (suc @ X2)))
% 1.36/0.94 | ~ (iLEQ @ (suc @ X2) @ (suc @ X0))
% 1.36/0.94 | ~ (E @ 0 @ (f @ X1))
% 1.36/0.94 | ~ (iLEQ @ (suc @ z) @ (suc @ z))
% 1.36/0.94 | ~ (E @ 0 @ (f @ X0))
% 1.36/0.94 | ~ (E @ 0 @ (f @ X2))
% 1.36/0.94 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 1.36/0.94 | ~ (E @ 0 @ (f @ (suc @ z)))
% 1.36/0.94 | ~ (iLEQ @ (suc @ X1) @ (suc @ X2))
% 1.36/0.94 | (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.36/0.94 | (E @ (f @ X1) @ (f @ (suc @ X1)))
% 1.36/0.94 | (E @ (f @ z) @ (f @ (suc @ z)))
% 1.36/0.94 | (E @ (f @ z) @ (f @ (suc @ z)))
% 1.36/0.94 | (E @ (f @ X2) @ (f @ (suc @ X2))))),
% 1.36/0.94 inference('sup-', [status(thm)], [zip_derived_cl40, zip_derived_cl72])).
% 1.36/0.94 thf(zip_derived_cl43, plain, ( (E @ 0 @ (f @ (suc @ z)))),
% 1.36/0.94 inference('sup-', [status(thm)], [zip_derived_cl42, zip_derived_cl10])).
% 1.36/0.94 thf(zip_derived_cl77, plain,
% 1.36/0.94 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.36/0.94 (~ (iLEQ @ (suc @ X0) @ (suc @ z))
% 1.36/0.94 | ~ (E @ 0 @ (f @ (suc @ X1)))
% 1.36/0.94 | ~ (E @ 0 @ (f @ (suc @ X2)))
% 1.36/0.94 | ~ (iLEQ @ (suc @ X2) @ (suc @ X0))
% 1.36/0.94 | ~ (E @ 0 @ (f @ X1))
% 1.36/0.94 | ~ (iLEQ @ (suc @ z) @ (suc @ z))
% 1.36/0.94 | ~ (E @ 0 @ (f @ X0))
% 1.36/0.94 | ~ (E @ 0 @ (f @ X2))
% 1.36/0.94 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 1.36/0.94 | ~ (iLEQ @ (suc @ X1) @ (suc @ X2))
% 1.36/0.94 | (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.36/0.94 | (E @ (f @ X1) @ (f @ (suc @ X1)))
% 1.36/0.94 | (E @ (f @ z) @ (f @ (suc @ z)))
% 1.36/0.94 | (E @ (f @ z) @ (f @ (suc @ z)))
% 1.36/0.94 | (E @ (f @ X2) @ (f @ (suc @ X2))))),
% 1.36/0.94 inference('demod', [status(thm)], [zip_derived_cl74, zip_derived_cl43])).
% 1.36/0.94 thf(zip_derived_cl78, plain,
% 1.36/0.94 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.36/0.94 ( (E @ (f @ X2) @ (f @ (suc @ X2)))
% 1.36/0.94 | (E @ (f @ z) @ (f @ (suc @ z)))
% 1.36/0.94 | (E @ (f @ X1) @ (f @ (suc @ X1)))
% 1.36/0.94 | (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.36/0.94 | ~ (iLEQ @ (suc @ X1) @ (suc @ X2))
% 1.36/0.94 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 1.36/0.94 | ~ (E @ 0 @ (f @ X2))
% 1.36/0.94 | ~ (E @ 0 @ (f @ X0))
% 1.36/0.94 | ~ (iLEQ @ (suc @ z) @ (suc @ z))
% 1.36/0.94 | ~ (E @ 0 @ (f @ X1))
% 1.36/0.94 | ~ (iLEQ @ (suc @ X2) @ (suc @ X0))
% 1.36/0.94 | ~ (E @ 0 @ (f @ (suc @ X2)))
% 1.36/0.94 | ~ (E @ 0 @ (f @ (suc @ X1)))
% 1.36/0.94 | ~ (iLEQ @ (suc @ X0) @ (suc @ z)))),
% 1.36/0.94 inference('simplify', [status(thm)], [zip_derived_cl77])).
% 1.36/0.94 thf(zip_derived_cl83, plain,
% 1.36/0.94 (![X0 : $i]:
% 1.36/0.94 (~ (iLEQ @ (suc @ z) @ (suc @ z))
% 1.36/0.94 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 1.36/0.94 | ~ (E @ 0 @ (f @ (suc @ z)))
% 1.36/0.94 | ~ (iLEQ @ (suc @ z) @ (suc @ z))
% 1.36/0.94 | ~ (E @ 0 @ (f @ X0))
% 1.36/0.94 | ~ (E @ 0 @ (f @ z))
% 1.36/0.94 | ~ (E @ 0 @ (f @ z))
% 1.36/0.94 | ~ (E @ 0 @ (f @ (suc @ z)))
% 1.36/0.94 | ~ (iLEQ @ (suc @ X0) @ (suc @ z))
% 1.36/0.94 | (E @ (f @ z) @ (f @ (suc @ z)))
% 1.36/0.94 | (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.36/0.94 | (E @ (f @ z) @ (f @ (suc @ z)))
% 1.36/0.94 | (E @ (f @ z) @ (f @ (suc @ z))))),
% 1.36/0.94 inference('eq_fact', [status(thm)], [zip_derived_cl78])).
% 1.36/0.94 thf(zip_derived_cl86, plain,
% 1.36/0.94 (![X0 : $i]:
% 1.36/0.94 ( (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.36/0.94 | (E @ (f @ z) @ (f @ (suc @ z)))
% 1.36/0.94 | ~ (iLEQ @ (suc @ X0) @ (suc @ z))
% 1.36/0.94 | ~ (E @ 0 @ (f @ z))
% 1.36/0.94 | ~ (E @ 0 @ (f @ X0))
% 1.36/0.94 | ~ (E @ 0 @ (f @ (suc @ z)))
% 1.36/0.94 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 1.36/0.94 | ~ (iLEQ @ (suc @ z) @ (suc @ z)))),
% 1.36/0.94 inference('simplify', [status(thm)], [zip_derived_cl83])).
% 1.36/0.94 thf(zip_derived_cl40, plain, ( (E @ 0 @ (f @ z))),
% 1.36/0.94 inference('sup-', [status(thm)], [zip_derived_cl39, zip_derived_cl10])).
% 1.36/0.94 thf(zip_derived_cl43, plain, ( (E @ 0 @ (f @ (suc @ z)))),
% 1.36/0.94 inference('sup-', [status(thm)], [zip_derived_cl42, zip_derived_cl10])).
% 1.36/0.94 thf(zip_derived_cl89, plain,
% 1.36/0.94 (![X0 : $i]:
% 1.36/0.94 ( (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.36/0.94 | (E @ (f @ z) @ (f @ (suc @ z)))
% 1.36/0.94 | ~ (iLEQ @ (suc @ X0) @ (suc @ z))
% 1.36/0.94 | ~ (E @ 0 @ (f @ X0))
% 1.36/0.94 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 1.36/0.94 | ~ (iLEQ @ (suc @ z) @ (suc @ z)))),
% 1.36/0.94 inference('demod', [status(thm)],
% 1.36/0.94 [zip_derived_cl86, zip_derived_cl40, zip_derived_cl43])).
% 1.36/0.94 thf(zip_derived_cl96, plain,
% 1.36/0.94 ((~ (E @ 0 @ (f @ (suc @ z)))
% 1.36/0.94 | ~ (E @ 0 @ (f @ z))
% 1.36/0.94 | ~ (iLEQ @ (suc @ z) @ (suc @ z))
% 1.36/0.94 | (E @ (f @ z) @ (f @ (suc @ z)))
% 1.36/0.94 | (E @ (f @ z) @ (f @ (suc @ z))))),
% 1.36/0.94 inference('eq_fact', [status(thm)], [zip_derived_cl89])).
% 1.36/0.94 thf(zip_derived_cl97, plain,
% 1.36/0.94 (( (E @ (f @ z) @ (f @ (suc @ z)))
% 1.36/0.94 | ~ (iLEQ @ (suc @ z) @ (suc @ z))
% 1.36/0.94 | ~ (E @ 0 @ (f @ z))
% 1.36/0.94 | ~ (E @ 0 @ (f @ (suc @ z))))),
% 1.36/0.94 inference('simplify', [status(thm)], [zip_derived_cl96])).
% 1.36/0.94 thf(zip_derived_cl40, plain, ( (E @ 0 @ (f @ z))),
% 1.36/0.94 inference('sup-', [status(thm)], [zip_derived_cl39, zip_derived_cl10])).
% 1.36/0.94 thf(zip_derived_cl43, plain, ( (E @ 0 @ (f @ (suc @ z)))),
% 1.36/0.94 inference('sup-', [status(thm)], [zip_derived_cl42, zip_derived_cl10])).
% 1.36/0.94 thf(zip_derived_cl98, plain,
% 1.36/0.94 (( (E @ (f @ z) @ (f @ (suc @ z))) | ~ (iLEQ @ (suc @ z) @ (suc @ z)))),
% 1.36/0.94 inference('demod', [status(thm)],
% 1.36/0.94 [zip_derived_cl97, zip_derived_cl40, zip_derived_cl43])).
% 1.36/0.94 thf(zip_derived_cl104, plain,
% 1.36/0.94 (( (E @ (f @ z) @ (f @ (suc @ z)))
% 1.36/0.94 | ~ (E @ 0 @ (f @ (suc @ z)))
% 1.36/0.94 | ~ (E @ 0 @ (f @ z))
% 1.36/0.94 | (E @ (f @ z) @ (f @ (suc @ z))))),
% 1.36/0.94 inference('sup-', [status(thm)], [zip_derived_cl22, zip_derived_cl98])).
% 1.36/0.94 thf(zip_derived_cl43, plain, ( (E @ 0 @ (f @ (suc @ z)))),
% 1.36/0.94 inference('sup-', [status(thm)], [zip_derived_cl42, zip_derived_cl10])).
% 1.36/0.94 thf(zip_derived_cl40, plain, ( (E @ 0 @ (f @ z))),
% 1.36/0.94 inference('sup-', [status(thm)], [zip_derived_cl39, zip_derived_cl10])).
% 1.36/0.94 thf(zip_derived_cl106, plain,
% 1.36/0.94 (( (E @ (f @ z) @ (f @ (suc @ z))) | (E @ (f @ z) @ (f @ (suc @ z))))),
% 1.36/0.94 inference('demod', [status(thm)],
% 1.36/0.94 [zip_derived_cl104, zip_derived_cl43, zip_derived_cl40])).
% 1.36/0.94 thf(zip_derived_cl107, plain, ( (E @ (f @ z) @ (f @ (suc @ z)))),
% 1.36/0.94 inference('simplify', [status(thm)], [zip_derived_cl106])).
% 1.36/0.94 thf(zip_derived_cl109, plain,
% 1.36/0.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.36/0.94 (~ (iLEQ @ (suc @ X1) @ (suc @ X0))
% 1.36/0.94 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.36/0.94 | ~ (E @ 0 @ (f @ (suc @ X2)))
% 1.36/0.94 | ~ (E @ 0 @ (f @ X2))
% 1.36/0.94 | ~ (E @ (f @ X2) @ (f @ (suc @ X2)))
% 1.36/0.94 | ~ (E @ (f @ X1) @ (f @ (suc @ X1)))
% 1.36/0.94 | ~ (E @ 0 @ (f @ (suc @ X3)))
% 1.36/0.94 | ~ (E @ 0 @ (f @ X0))
% 1.36/0.94 | ~ (E @ 0 @ (f @ X3))
% 1.36/0.94 | ~ (iLEQ @ (suc @ z) @ (suc @ X2))
% 1.36/0.94 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 1.36/0.94 | ~ (E @ (f @ X3) @ (f @ (suc @ X3)))
% 1.36/0.94 | ~ (E @ 0 @ (f @ X1))
% 1.36/0.94 | ~ (E @ 0 @ (f @ (suc @ (suc @ X2))))
% 1.36/0.94 | ~ (iLEQ @ (suc @ X0) @ (suc @ X3))
% 1.36/0.94 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 1.36/0.94 | ~ (E @ 0 @ (f @ (suc @ (suc @ X1))))
% 1.36/0.94 | ~ (E @ 0 @ (f @ (suc @ X1)))
% 1.36/0.94 | ~ (iLEQ @ (suc @ X3) @ (suc @ z))
% 1.36/0.94 | ~ (E @ 0 @ (f @ (suc @ (suc @ X3)))))),
% 1.36/0.94 inference('demod', [status(thm)], [zip_derived_cl63, zip_derived_cl107])).
% 1.36/0.94 thf(zip_derived_cl110, plain,
% 1.36/0.94 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.36/0.94 (~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 1.36/0.94 | ~ (iLEQ @ (suc @ X0) @ (suc @ z))
% 1.36/0.94 | ~ (E @ 0 @ (f @ (suc @ X1)))
% 1.36/0.94 | ~ (E @ 0 @ (f @ (suc @ (suc @ X1))))
% 1.36/0.94 | ~ (E @ 0 @ (f @ (suc @ X2)))
% 1.36/0.94 | ~ (iLEQ @ (suc @ X2) @ (suc @ X0))
% 1.36/0.94 | ~ (E @ 0 @ (f @ (suc @ (suc @ z))))
% 1.36/0.94 | ~ (E @ 0 @ (f @ X1))
% 1.36/0.94 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.36/0.94 | ~ (E @ 0 @ (f @ (suc @ (suc @ X2))))
% 1.36/0.94 | ~ (iLEQ @ (suc @ z) @ (suc @ z))
% 1.36/0.94 | ~ (E @ 0 @ (f @ X0))
% 1.36/0.94 | ~ (E @ 0 @ (f @ X2))
% 1.36/0.94 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 1.36/0.94 | ~ (E @ (f @ X1) @ (f @ (suc @ X1)))
% 1.36/0.94 | ~ (E @ (f @ z) @ (f @ (suc @ z)))
% 1.36/0.94 | ~ (E @ 0 @ (f @ (suc @ z)))
% 1.36/0.94 | ~ (E @ (f @ X2) @ (f @ (suc @ X2)))
% 1.36/0.94 | ~ (iLEQ @ (suc @ X1) @ (suc @ X2)))),
% 1.36/0.94 inference('sup-', [status(thm)], [zip_derived_cl40, zip_derived_cl109])).
% 1.36/0.94 thf(zip_derived_cl46, plain, ( (E @ 0 @ (f @ (suc @ (suc @ z))))),
% 1.36/0.94 inference('sup-', [status(thm)], [zip_derived_cl45, zip_derived_cl10])).
% 1.36/0.94 thf(zip_derived_cl107, plain, ( (E @ (f @ z) @ (f @ (suc @ z)))),
% 1.36/0.94 inference('simplify', [status(thm)], [zip_derived_cl106])).
% 1.36/0.94 thf(zip_derived_cl43, plain, ( (E @ 0 @ (f @ (suc @ z)))),
% 1.36/0.94 inference('sup-', [status(thm)], [zip_derived_cl42, zip_derived_cl10])).
% 1.36/0.94 thf(zip_derived_cl113, plain,
% 1.36/0.94 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.36/0.94 (~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 1.36/0.94 | ~ (iLEQ @ (suc @ X0) @ (suc @ z))
% 1.36/0.94 | ~ (E @ 0 @ (f @ (suc @ X1)))
% 1.36/0.94 | ~ (E @ 0 @ (f @ (suc @ (suc @ X1))))
% 1.36/0.94 | ~ (E @ 0 @ (f @ (suc @ X2)))
% 1.36/0.94 | ~ (iLEQ @ (suc @ X2) @ (suc @ X0))
% 1.36/0.94 | ~ (E @ 0 @ (f @ X1))
% 1.36/0.94 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.36/0.94 | ~ (E @ 0 @ (f @ (suc @ (suc @ X2))))
% 1.36/0.94 | ~ (iLEQ @ (suc @ z) @ (suc @ z))
% 1.36/0.94 | ~ (E @ 0 @ (f @ X0))
% 1.36/0.94 | ~ (E @ 0 @ (f @ X2))
% 1.36/0.94 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 1.36/0.94 | ~ (E @ (f @ X1) @ (f @ (suc @ X1)))
% 1.36/0.94 | ~ (E @ (f @ X2) @ (f @ (suc @ X2)))
% 1.36/0.94 | ~ (iLEQ @ (suc @ X1) @ (suc @ X2)))),
% 1.36/0.94 inference('demod', [status(thm)],
% 1.36/0.94 [zip_derived_cl110, zip_derived_cl46, zip_derived_cl107,
% 1.36/0.94 zip_derived_cl43])).
% 1.36/0.94 thf(zip_derived_cl142, plain,
% 1.36/0.94 (![X0 : $i]:
% 1.36/0.94 (~ (iLEQ @ (suc @ X0) @ (suc @ z))
% 1.36/0.94 | ~ (E @ (f @ z) @ (f @ (suc @ z)))
% 1.36/0.94 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.36/0.94 | ~ (E @ 0 @ (f @ (suc @ z)))
% 1.36/0.94 | ~ (E @ 0 @ (f @ z))
% 1.36/0.94 | ~ (E @ 0 @ (f @ z))
% 1.36/0.94 | ~ (E @ 0 @ (f @ (suc @ (suc @ z))))
% 1.36/0.94 | ~ (E @ (f @ z) @ (f @ (suc @ z)))
% 1.36/0.94 | ~ (E @ 0 @ (f @ X0))
% 1.36/0.94 | ~ (iLEQ @ (suc @ z) @ (suc @ z))
% 1.36/0.94 | ~ (E @ 0 @ (f @ (suc @ z)))
% 1.36/0.94 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 1.36/0.94 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 1.36/0.94 | ~ (iLEQ @ (suc @ z) @ (suc @ z))
% 1.36/0.94 | ~ (E @ 0 @ (f @ (suc @ (suc @ z)))))),
% 1.36/0.94 inference('eq_fact', [status(thm)], [zip_derived_cl113])).
% 1.36/0.94 thf(zip_derived_cl144, plain,
% 1.36/0.94 (![X0 : $i]:
% 1.36/0.94 (~ (E @ 0 @ (f @ (suc @ X0)))
% 1.36/0.94 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 1.36/0.94 | ~ (iLEQ @ (suc @ z) @ (suc @ z))
% 1.36/0.94 | ~ (E @ 0 @ (f @ X0))
% 1.36/0.94 | ~ (E @ 0 @ (f @ (suc @ (suc @ z))))
% 1.36/0.94 | ~ (E @ 0 @ (f @ z))
% 1.36/0.94 | ~ (E @ 0 @ (f @ (suc @ z)))
% 1.36/0.94 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.36/0.94 | ~ (E @ (f @ z) @ (f @ (suc @ z)))
% 1.36/0.94 | ~ (iLEQ @ (suc @ X0) @ (suc @ z)))),
% 1.36/0.94 inference('simplify', [status(thm)], [zip_derived_cl142])).
% 1.36/0.94 thf(zip_derived_cl46, plain, ( (E @ 0 @ (f @ (suc @ (suc @ z))))),
% 1.36/0.94 inference('sup-', [status(thm)], [zip_derived_cl45, zip_derived_cl10])).
% 1.36/0.94 thf(zip_derived_cl40, plain, ( (E @ 0 @ (f @ z))),
% 1.36/0.94 inference('sup-', [status(thm)], [zip_derived_cl39, zip_derived_cl10])).
% 1.36/0.94 thf(zip_derived_cl43, plain, ( (E @ 0 @ (f @ (suc @ z)))),
% 1.36/0.94 inference('sup-', [status(thm)], [zip_derived_cl42, zip_derived_cl10])).
% 1.36/0.94 thf(zip_derived_cl107, plain, ( (E @ (f @ z) @ (f @ (suc @ z)))),
% 1.36/0.94 inference('simplify', [status(thm)], [zip_derived_cl106])).
% 1.36/0.94 thf(zip_derived_cl147, plain,
% 1.36/0.94 (![X0 : $i]:
% 1.36/0.94 (~ (E @ 0 @ (f @ (suc @ X0)))
% 1.36/0.94 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 1.36/0.94 | ~ (iLEQ @ (suc @ z) @ (suc @ z))
% 1.36/0.94 | ~ (E @ 0 @ (f @ X0))
% 1.36/0.94 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.36/0.94 | ~ (iLEQ @ (suc @ X0) @ (suc @ z)))),
% 1.36/0.94 inference('demod', [status(thm)],
% 1.36/0.94 [zip_derived_cl144, zip_derived_cl46, zip_derived_cl40,
% 1.36/0.94 zip_derived_cl43, zip_derived_cl107])).
% 1.36/0.94 thf(zip_derived_cl153, plain,
% 1.36/0.94 ((~ (iLEQ @ (suc @ z) @ (suc @ z))
% 1.36/0.94 | ~ (E @ (f @ z) @ (f @ (suc @ z)))
% 1.36/0.94 | ~ (E @ 0 @ (f @ z))
% 1.36/0.94 | ~ (E @ 0 @ (f @ (suc @ (suc @ z))))
% 1.36/0.94 | ~ (E @ 0 @ (f @ (suc @ z))))),
% 1.36/0.94 inference('eq_fact', [status(thm)], [zip_derived_cl147])).
% 1.36/0.94 thf(zip_derived_cl107, plain, ( (E @ (f @ z) @ (f @ (suc @ z)))),
% 1.36/0.94 inference('simplify', [status(thm)], [zip_derived_cl106])).
% 1.36/0.94 thf(zip_derived_cl40, plain, ( (E @ 0 @ (f @ z))),
% 1.36/0.94 inference('sup-', [status(thm)], [zip_derived_cl39, zip_derived_cl10])).
% 1.36/0.94 thf(zip_derived_cl46, plain, ( (E @ 0 @ (f @ (suc @ (suc @ z))))),
% 1.36/0.94 inference('sup-', [status(thm)], [zip_derived_cl45, zip_derived_cl10])).
% 1.36/0.94 thf(zip_derived_cl43, plain, ( (E @ 0 @ (f @ (suc @ z)))),
% 1.36/0.94 inference('sup-', [status(thm)], [zip_derived_cl42, zip_derived_cl10])).
% 1.36/0.94 thf(zip_derived_cl154, plain, (~ (iLEQ @ (suc @ z) @ (suc @ z))),
% 1.36/0.94 inference('demod', [status(thm)],
% 1.36/0.94 [zip_derived_cl153, zip_derived_cl107, zip_derived_cl40,
% 1.36/0.94 zip_derived_cl46, zip_derived_cl43])).
% 1.36/0.94 thf(zip_derived_cl157, plain,
% 1.36/0.94 ((~ (E @ 0 @ (f @ z))
% 1.36/0.94 | ~ (E @ (f @ z) @ (f @ (suc @ z)))
% 1.36/0.94 | ~ (E @ 0 @ (f @ (suc @ z)))
% 1.36/0.94 | ~ (E @ 0 @ (f @ (suc @ (suc @ z)))))),
% 1.36/0.94 inference('sup-', [status(thm)], [zip_derived_cl21, zip_derived_cl154])).
% 1.36/0.94 thf(zip_derived_cl40, plain, ( (E @ 0 @ (f @ z))),
% 1.36/0.94 inference('sup-', [status(thm)], [zip_derived_cl39, zip_derived_cl10])).
% 1.36/0.94 thf(zip_derived_cl107, plain, ( (E @ (f @ z) @ (f @ (suc @ z)))),
% 1.36/0.94 inference('simplify', [status(thm)], [zip_derived_cl106])).
% 1.36/0.94 thf(zip_derived_cl43, plain, ( (E @ 0 @ (f @ (suc @ z)))),
% 1.36/0.94 inference('sup-', [status(thm)], [zip_derived_cl42, zip_derived_cl10])).
% 1.36/0.94 thf(zip_derived_cl46, plain, ( (E @ 0 @ (f @ (suc @ (suc @ z))))),
% 1.36/0.94 inference('sup-', [status(thm)], [zip_derived_cl45, zip_derived_cl10])).
% 1.36/0.94 thf(zip_derived_cl159, plain, ($false),
% 1.36/0.94 inference('demod', [status(thm)],
% 1.36/0.94 [zip_derived_cl157, zip_derived_cl40, zip_derived_cl107,
% 1.36/0.94 zip_derived_cl43, zip_derived_cl46])).
% 1.36/0.94
% 1.36/0.94 % SZS output end Refutation
% 1.36/0.94
% 1.36/0.94
% 1.36/0.94 % Terminating...
% 1.85/1.00 % Runner terminated.
% 1.85/1.01 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------