TSTP Solution File: SYO665-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYO665-1 : 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.aXclsD1hLy true
% Computer : n027.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 05:52:29 EDT 2023
% Result : Unsatisfiable 3.35s 1.12s
% Output : Refutation 3.35s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SYO665-1 : 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.aXclsD1hLy true
% 0.16/0.36 % Computer : n027.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Sat Aug 26 01:50:49 EDT 2023
% 0.16/0.36 % CPUTime :
% 0.16/0.36 % Running portfolio for 300 s
% 0.16/0.36 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.36 % Number of cores: 8
% 0.21/0.36 % Python version: Python 3.6.8
% 0.21/0.36 % Running in FO mode
% 0.22/0.67 % Total configuration time : 435
% 0.22/0.67 % Estimated wc time : 1092
% 0.22/0.67 % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.73 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.73 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.73 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.77 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.77 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.77 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.22/0.77 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.22/0.84 % /export/starexec/sandbox/solver/bin/fo/fo1_lcnf.sh running for 50s
% 3.35/1.12 % Solved by fo/fo3_bce.sh.
% 3.35/1.12 % BCE start: 76
% 3.35/1.12 % BCE eliminated: 0
% 3.35/1.12 % PE start: 76
% 3.35/1.12 logic: neq
% 3.35/1.12 % PE eliminated: 0
% 3.35/1.12 % done 160 iterations in 0.337s
% 3.35/1.12 % SZS status Unsatisfiable for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 3.35/1.12 % SZS output start Refutation
% 3.35/1.12 thf(z_type, type, z: $i).
% 3.35/1.12 thf(f_type, type, f: $i > $i).
% 3.35/1.12 thf(suc_type, type, suc: $i > $i).
% 3.35/1.12 thf(LE_type, type, LE: $i > $i > $o).
% 3.35/1.12 thf(0_type, type, 0: $i).
% 3.35/1.12 thf(s_type, type, s: $i > $i).
% 3.35/1.12 thf(iLEQ_type, type, iLEQ: $i > $i > $o).
% 3.35/1.12 thf(E_type, type, E: $i > $i > $o).
% 3.35/1.12 thf(clause_877, axiom, (~( LE @ ( f @ z ) @ 0 ))).
% 3.35/1.12 thf(zip_derived_cl0, plain, (~ (LE @ (f @ z) @ 0)),
% 3.35/1.12 inference('cnf', [status(esa)], [clause_877])).
% 3.35/1.12 thf(clause_1187, axiom,
% 3.35/1.12 (( ~( LE @ ( f @ B_60 ) @ ( s @ 0 ) ) ) | ( E @ 0 @ ( f @ B_60 ) ) |
% 3.35/1.12 ( LE @ ( f @ B_60 ) @ 0 ))).
% 3.35/1.12 thf(zip_derived_cl40, plain,
% 3.35/1.12 (![X0 : $i]:
% 3.35/1.12 (~ (LE @ (f @ X0) @ (s @ 0))
% 3.35/1.12 | (E @ 0 @ (f @ X0))
% 3.35/1.12 | (LE @ (f @ X0) @ 0))),
% 3.35/1.12 inference('cnf', [status(esa)], [clause_1187])).
% 3.35/1.12 thf(clause_1504, axiom,
% 3.35/1.12 (( ~( LE @ ( f @ ( suc @ B_60 ) ) @ ( s @ 0 ) ) ) |
% 3.35/1.12 ( E @ 0 @ ( f @ ( suc @ B_60 ) ) ) | ( LE @ ( f @ B_60 ) @ 0 ))).
% 3.35/1.12 thf(zip_derived_cl14, plain,
% 3.35/1.12 (![X0 : $i]:
% 3.35/1.12 (~ (LE @ (f @ (suc @ X0)) @ (s @ 0))
% 3.35/1.12 | (E @ 0 @ (f @ (suc @ X0)))
% 3.35/1.12 | (LE @ (f @ X0) @ 0))),
% 3.35/1.12 inference('cnf', [status(esa)], [clause_1504])).
% 3.35/1.12 thf(clause_948, axiom,
% 3.35/1.12 (( ~( E @ 0 @ ( f @ B_63 ) ) ) | ( ~( E @ 0 @ ( f @ ( suc @ B_61 ) ) ) ) |
% 3.35/1.12 ( ~( E @ 0 @ ( f @ ( suc @ A_2 ) ) ) ) |
% 3.35/1.12 ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ A_2 ) ) ) ) ) |
% 3.35/1.12 ( ~( iLEQ @ ( suc @ A_2 ) @ ( suc @ B_61 ) ) ) |
% 3.35/1.12 ( ~( iLEQ @ ( suc @ B_61 ) @ ( suc @ B_62 ) ) ) |
% 3.35/1.12 ( ~( E @ 0 @ ( f @ ( suc @ B_63 ) ) ) ) | ( ~( E @ 0 @ ( f @ A_2 ) ) ) |
% 3.35/1.12 ( ~( iLEQ @ ( suc @ B_62 ) @ ( suc @ B_63 ) ) ) |
% 3.35/1.12 ( ~( E @ 0 @ ( f @ B_64 ) ) ) |
% 3.35/1.12 ( ~( iLEQ @ ( suc @ B_63 ) @ ( suc @ B_64 ) ) ) |
% 3.35/1.12 ( ~( E @ 0 @ ( f @ ( suc @ B_62 ) ) ) ) |
% 3.35/1.12 ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ B_63 ) ) ) ) ) |
% 3.35/1.12 ( ~( E @ ( f @ B_62 ) @ ( f @ ( suc @ B_62 ) ) ) ) |
% 3.35/1.12 ( ~( E @ 0 @ ( f @ B_61 ) ) ) |
% 3.35/1.12 ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ B_62 ) ) ) ) ) |
% 3.35/1.12 ( ~( E @ 0 @ ( f @ ( suc @ B_64 ) ) ) ) |
% 3.35/1.12 ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ B_64 ) ) ) ) ) |
% 3.35/1.12 ( ~( E @ 0 @ ( f @ B_62 ) ) ) |
% 3.35/1.12 ( ~( E @ ( f @ B_64 ) @ ( f @ ( suc @ B_64 ) ) ) ) |
% 3.35/1.12 ( ~( E @ ( f @ B_63 ) @ ( f @ ( suc @ B_63 ) ) ) ) |
% 3.35/1.12 ( ~( E @ ( f @ A_2 ) @ ( f @ ( suc @ A_2 ) ) ) ) |
% 3.35/1.12 ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ B_61 ) ) ) ) ) |
% 3.35/1.12 ( ~( E @ ( f @ B_61 ) @ ( f @ ( suc @ B_61 ) ) ) ))).
% 3.35/1.12 thf(zip_derived_cl20, plain,
% 3.35/1.12 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 3.35/1.12 (~ (E @ 0 @ (f @ X0))
% 3.35/1.12 | ~ (E @ 0 @ (f @ (suc @ X1)))
% 3.35/1.12 | ~ (E @ 0 @ (f @ (suc @ X2)))
% 3.35/1.12 | ~ (E @ 0 @ (f @ (suc @ (suc @ X2))))
% 3.35/1.12 | ~ (iLEQ @ (suc @ X2) @ (suc @ X1))
% 3.35/1.12 | ~ (iLEQ @ (suc @ X1) @ (suc @ X3))
% 3.35/1.12 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 3.35/1.12 | ~ (E @ 0 @ (f @ X2))
% 3.35/1.12 | ~ (iLEQ @ (suc @ X3) @ (suc @ X0))
% 3.35/1.12 | ~ (E @ 0 @ (f @ X4))
% 3.35/1.12 | ~ (iLEQ @ (suc @ X0) @ (suc @ X4))
% 3.35/1.12 | ~ (E @ 0 @ (f @ (suc @ X3)))
% 3.35/1.12 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 3.35/1.12 | ~ (E @ (f @ X3) @ (f @ (suc @ X3)))
% 3.35/1.12 | ~ (E @ 0 @ (f @ X1))
% 3.35/1.12 | ~ (E @ 0 @ (f @ (suc @ (suc @ X3))))
% 3.35/1.12 | ~ (E @ 0 @ (f @ (suc @ X4)))
% 3.35/1.12 | ~ (E @ 0 @ (f @ (suc @ (suc @ X4))))
% 3.35/1.12 | ~ (E @ 0 @ (f @ X3))
% 3.35/1.12 | ~ (E @ (f @ X4) @ (f @ (suc @ X4)))
% 3.35/1.12 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 3.35/1.12 | ~ (E @ (f @ X2) @ (f @ (suc @ X2)))
% 3.35/1.12 | ~ (E @ 0 @ (f @ (suc @ (suc @ X1))))
% 3.35/1.12 | ~ (E @ (f @ X1) @ (f @ (suc @ X1))))),
% 3.35/1.12 inference('cnf', [status(esa)], [clause_948])).
% 3.35/1.12 thf(zip_derived_cl183, plain,
% 3.35/1.12 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.35/1.12 (~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 3.35/1.12 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 3.35/1.12 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 3.35/1.12 | ~ (E @ (f @ X1) @ (f @ (suc @ X1)))
% 3.35/1.12 | ~ (E @ (f @ X2) @ (f @ (suc @ X2)))
% 3.35/1.12 | ~ (E @ 0 @ (f @ X0))
% 3.35/1.12 | ~ (E @ 0 @ (f @ (suc @ (suc @ X2))))
% 3.35/1.12 | ~ (E @ 0 @ (f @ (suc @ X2)))
% 3.35/1.12 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 3.35/1.12 | ~ (E @ 0 @ (f @ X0))
% 3.35/1.12 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 3.35/1.12 | ~ (E @ 0 @ (f @ (suc @ (suc @ X1))))
% 3.35/1.12 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 3.35/1.12 | ~ (iLEQ @ (suc @ X1) @ (suc @ X2))
% 3.35/1.12 | ~ (E @ 0 @ (f @ X2))
% 3.35/1.12 | ~ (iLEQ @ (suc @ X0) @ (suc @ X1))
% 3.35/1.12 | ~ (E @ 0 @ (f @ X0))
% 3.35/1.12 | ~ (E @ 0 @ (f @ (suc @ X1)))
% 3.35/1.12 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 3.35/1.12 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 3.35/1.12 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 3.35/1.12 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 3.35/1.12 | ~ (E @ 0 @ (f @ X1)))),
% 3.35/1.12 inference('eq_fact', [status(thm)], [zip_derived_cl20])).
% 3.35/1.12 thf(zip_derived_cl186, plain,
% 3.35/1.12 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.35/1.12 (~ (E @ 0 @ (f @ X1))
% 3.35/1.12 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 3.35/1.12 | ~ (E @ 0 @ (f @ (suc @ X1)))
% 3.35/1.12 | ~ (iLEQ @ (suc @ X0) @ (suc @ X1))
% 3.35/1.12 | ~ (E @ 0 @ (f @ X2))
% 3.35/1.12 | ~ (iLEQ @ (suc @ X1) @ (suc @ X2))
% 3.35/1.12 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 3.35/1.12 | ~ (E @ 0 @ (f @ (suc @ (suc @ X1))))
% 3.35/1.12 | ~ (E @ 0 @ (f @ (suc @ X2)))
% 3.35/1.12 | ~ (E @ 0 @ (f @ (suc @ (suc @ X2))))
% 3.35/1.12 | ~ (E @ 0 @ (f @ X0))
% 3.35/1.12 | ~ (E @ (f @ X2) @ (f @ (suc @ X2)))
% 3.35/1.12 | ~ (E @ (f @ X1) @ (f @ (suc @ X1)))
% 3.35/1.12 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 3.35/1.12 | ~ (E @ (f @ X0) @ (f @ (suc @ X0))))),
% 3.35/1.12 inference('simplify', [status(thm)], [zip_derived_cl183])).
% 3.35/1.12 thf(zip_derived_cl194, plain,
% 3.35/1.12 (![X0 : $i]:
% 3.35/1.12 (~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 3.35/1.12 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 3.35/1.12 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 3.35/1.12 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 3.35/1.12 | ~ (E @ 0 @ (f @ X0))
% 3.35/1.12 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 3.35/1.12 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 3.35/1.12 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 3.35/1.12 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 3.35/1.12 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 3.35/1.12 | ~ (E @ 0 @ (f @ X0))
% 3.35/1.12 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 3.35/1.12 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 3.35/1.12 | ~ (E @ 0 @ (f @ X0)))),
% 3.35/1.12 inference('eq_fact', [status(thm)], [zip_derived_cl186])).
% 3.35/1.12 thf(zip_derived_cl196, plain,
% 3.35/1.12 (![X0 : $i]:
% 3.35/1.12 (~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 3.35/1.12 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 3.35/1.12 | ~ (E @ 0 @ (f @ X0))
% 3.35/1.12 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 3.35/1.12 | ~ (E @ (f @ X0) @ (f @ (suc @ X0))))),
% 3.35/1.12 inference('simplify', [status(thm)], [zip_derived_cl194])).
% 3.35/1.12 thf(clause_1303, axiom,
% 3.35/1.12 (( ~( E @ 0 @ ( f @ ( suc @ ( suc @ A_2 ) ) ) ) ) |
% 3.35/1.12 ( ~( E @ 0 @ ( f @ ( suc @ A_2 ) ) ) ) |
% 3.35/1.12 ( ~( E @ ( f @ A_2 ) @ ( f @ ( suc @ A_2 ) ) ) ) |
% 3.35/1.12 ( ~( E @ 0 @ ( f @ A_2 ) ) ) | ( iLEQ @ ( suc @ A_2 ) @ ( suc @ A_2 ) ))).
% 3.35/1.12 thf(zip_derived_cl15, plain,
% 3.35/1.12 (![X0 : $i]:
% 3.35/1.12 (~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 3.35/1.12 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 3.35/1.12 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 3.35/1.12 | ~ (E @ 0 @ (f @ X0))
% 3.35/1.12 | (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 3.35/1.12 inference('cnf', [status(esa)], [clause_1303])).
% 3.35/1.12 thf(clause_977, axiom,
% 3.35/1.12 (( ~( E @ 0 @ ( f @ A_2 ) ) ) | ( ~( E @ 0 @ ( f @ ( suc @ A_2 ) ) ) ) |
% 3.35/1.12 ( E @ ( f @ A_2 ) @ ( f @ ( suc @ A_2 ) ) ) |
% 3.35/1.12 ( iLEQ @ ( suc @ A_2 ) @ ( suc @ A_2 ) ))).
% 3.35/1.12 thf(zip_derived_cl33, plain,
% 3.35/1.12 (![X0 : $i]:
% 3.35/1.12 (~ (E @ 0 @ (f @ X0))
% 3.35/1.12 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 3.35/1.12 | (E @ (f @ X0) @ (f @ (suc @ X0)))
% 3.35/1.12 | (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 3.35/1.12 inference('cnf', [status(esa)], [clause_977])).
% 3.35/1.12 thf(zip_derived_cl85, plain,
% 3.35/1.12 (![X0 : $i]:
% 3.35/1.12 ( (iLEQ @ (suc @ X0) @ (suc @ X0))
% 3.35/1.12 | ~ (E @ 0 @ (f @ X0))
% 3.35/1.12 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 3.35/1.12 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0)))))),
% 3.35/1.12 inference('clc', [status(thm)], [zip_derived_cl15, zip_derived_cl33])).
% 3.35/1.12 thf(zip_derived_cl198, plain,
% 3.35/1.12 (![X0 : $i]:
% 3.35/1.12 (~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 3.35/1.12 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 3.35/1.12 | ~ (E @ 0 @ (f @ X0))
% 3.35/1.12 | ~ (E @ 0 @ (f @ (suc @ X0))))),
% 3.35/1.12 inference('clc', [status(thm)], [zip_derived_cl196, zip_derived_cl85])).
% 3.35/1.12 thf(clause_672, axiom,
% 3.35/1.12 (( ~( E @ 0 @ ( f @ B_63 ) ) ) | ( ~( E @ 0 @ ( f @ ( suc @ B_61 ) ) ) ) |
% 3.35/1.12 ( ~( E @ 0 @ ( f @ ( suc @ A_2 ) ) ) ) |
% 3.35/1.12 ( ~( iLEQ @ ( suc @ A_2 ) @ ( suc @ B_61 ) ) ) |
% 3.35/1.12 ( ~( iLEQ @ ( suc @ B_61 ) @ ( suc @ B_62 ) ) ) |
% 3.35/1.12 ( ~( E @ 0 @ ( f @ ( suc @ B_63 ) ) ) ) | ( ~( E @ 0 @ ( f @ A_2 ) ) ) |
% 3.35/1.12 ( ~( iLEQ @ ( suc @ B_62 ) @ ( suc @ B_63 ) ) ) |
% 3.35/1.12 ( ~( E @ 0 @ ( f @ B_64 ) ) ) |
% 3.35/1.12 ( ~( iLEQ @ ( suc @ B_63 ) @ ( suc @ B_64 ) ) ) |
% 3.35/1.12 ( ~( E @ 0 @ ( f @ ( suc @ B_62 ) ) ) ) | ( ~( E @ 0 @ ( f @ B_61 ) ) ) |
% 3.35/1.12 ( ~( E @ 0 @ ( f @ ( suc @ B_64 ) ) ) ) | ( ~( E @ 0 @ ( f @ B_62 ) ) ) |
% 3.35/1.12 ( E @ ( f @ B_62 ) @ ( f @ ( suc @ B_62 ) ) ) |
% 3.35/1.12 ( E @ ( f @ B_64 ) @ ( f @ ( suc @ B_64 ) ) ) |
% 3.35/1.12 ( E @ ( f @ B_63 ) @ ( f @ ( suc @ B_63 ) ) ) |
% 3.35/1.12 ( E @ ( f @ A_2 ) @ ( f @ ( suc @ A_2 ) ) ) |
% 3.35/1.12 ( E @ ( f @ B_61 ) @ ( f @ ( suc @ B_61 ) ) ))).
% 3.35/1.12 thf(zip_derived_cl22, plain,
% 3.35/1.12 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 3.35/1.12 (~ (E @ 0 @ (f @ X0))
% 3.35/1.12 | ~ (E @ 0 @ (f @ (suc @ X1)))
% 3.35/1.12 | ~ (E @ 0 @ (f @ (suc @ X2)))
% 3.35/1.12 | ~ (iLEQ @ (suc @ X2) @ (suc @ X1))
% 3.35/1.12 | ~ (iLEQ @ (suc @ X1) @ (suc @ X3))
% 3.35/1.12 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 3.35/1.12 | ~ (E @ 0 @ (f @ X2))
% 3.35/1.12 | ~ (iLEQ @ (suc @ X3) @ (suc @ X0))
% 3.35/1.12 | ~ (E @ 0 @ (f @ X4))
% 3.35/1.12 | ~ (iLEQ @ (suc @ X0) @ (suc @ X4))
% 3.35/1.12 | ~ (E @ 0 @ (f @ (suc @ X3)))
% 3.35/1.12 | ~ (E @ 0 @ (f @ X1))
% 3.35/1.12 | ~ (E @ 0 @ (f @ (suc @ X4)))
% 3.35/1.12 | ~ (E @ 0 @ (f @ X3))
% 3.35/1.12 | (E @ (f @ X3) @ (f @ (suc @ X3)))
% 3.35/1.12 | (E @ (f @ X4) @ (f @ (suc @ X4)))
% 3.35/1.12 | (E @ (f @ X0) @ (f @ (suc @ X0)))
% 3.35/1.12 | (E @ (f @ X2) @ (f @ (suc @ X2)))
% 3.35/1.12 | (E @ (f @ X1) @ (f @ (suc @ X1))))),
% 3.35/1.12 inference('cnf', [status(esa)], [clause_672])).
% 3.35/1.12 thf(zip_derived_cl99, plain,
% 3.35/1.12 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.35/1.12 ( (E @ (f @ X0) @ (f @ (suc @ X0)))
% 3.35/1.12 | (E @ (f @ X0) @ (f @ (suc @ X0)))
% 3.35/1.12 | (E @ (f @ X1) @ (f @ (suc @ X1)))
% 3.35/1.12 | (E @ (f @ X2) @ (f @ (suc @ X2)))
% 3.35/1.12 | (E @ (f @ X0) @ (f @ (suc @ X0)))
% 3.35/1.12 | ~ (E @ 0 @ (f @ X0))
% 3.35/1.12 | ~ (E @ 0 @ (f @ (suc @ X2)))
% 3.35/1.12 | ~ (E @ 0 @ (f @ X0))
% 3.35/1.12 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 3.35/1.12 | ~ (iLEQ @ (suc @ X1) @ (suc @ X2))
% 3.35/1.12 | ~ (E @ 0 @ (f @ X2))
% 3.35/1.12 | ~ (iLEQ @ (suc @ X0) @ (suc @ X1))
% 3.35/1.12 | ~ (E @ 0 @ (f @ X0))
% 3.35/1.12 | ~ (E @ 0 @ (f @ (suc @ X1)))
% 3.35/1.12 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 3.35/1.12 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 3.35/1.12 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 3.35/1.12 | ~ (E @ 0 @ (f @ X1)))),
% 3.35/1.12 inference('eq_fact', [status(thm)], [zip_derived_cl22])).
% 3.35/1.12 thf(zip_derived_cl102, plain,
% 3.35/1.12 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.35/1.12 (~ (E @ 0 @ (f @ X1))
% 3.35/1.12 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 3.35/1.12 | ~ (E @ 0 @ (f @ (suc @ X1)))
% 3.35/1.12 | ~ (iLEQ @ (suc @ X0) @ (suc @ X1))
% 3.35/1.12 | ~ (E @ 0 @ (f @ X2))
% 3.35/1.12 | ~ (iLEQ @ (suc @ X1) @ (suc @ X2))
% 3.35/1.12 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 3.35/1.12 | ~ (E @ 0 @ (f @ (suc @ X2)))
% 3.35/1.12 | ~ (E @ 0 @ (f @ X0))
% 3.35/1.12 | (E @ (f @ X2) @ (f @ (suc @ X2)))
% 3.35/1.12 | (E @ (f @ X1) @ (f @ (suc @ X1)))
% 3.35/1.12 | (E @ (f @ X0) @ (f @ (suc @ X0))))),
% 3.35/1.12 inference('simplify', [status(thm)], [zip_derived_cl99])).
% 3.35/1.12 thf(zip_derived_cl114, plain,
% 3.35/1.12 (![X0 : $i]:
% 3.35/1.12 ( (E @ (f @ X0) @ (f @ (suc @ X0)))
% 3.35/1.12 | (E @ (f @ X0) @ (f @ (suc @ X0)))
% 3.35/1.12 | (E @ (f @ X0) @ (f @ (suc @ X0)))
% 3.35/1.12 | ~ (E @ 0 @ (f @ X0))
% 3.35/1.12 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 3.35/1.12 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 3.35/1.12 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 3.35/1.12 | ~ (E @ 0 @ (f @ X0))
% 3.35/1.12 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 3.35/1.12 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 3.35/1.12 | ~ (E @ 0 @ (f @ X0)))),
% 3.35/1.12 inference('eq_fact', [status(thm)], [zip_derived_cl102])).
% 3.35/1.12 thf(zip_derived_cl116, plain,
% 3.35/1.12 (![X0 : $i]:
% 3.35/1.12 (~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 3.35/1.12 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 3.35/1.12 | ~ (E @ 0 @ (f @ X0))
% 3.35/1.12 | (E @ (f @ X0) @ (f @ (suc @ X0))))),
% 3.35/1.12 inference('simplify', [status(thm)], [zip_derived_cl114])).
% 3.35/1.12 thf(zip_derived_cl33, plain,
% 3.35/1.12 (![X0 : $i]:
% 3.35/1.12 (~ (E @ 0 @ (f @ X0))
% 3.35/1.12 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 3.35/1.12 | (E @ (f @ X0) @ (f @ (suc @ X0)))
% 3.35/1.12 | (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 3.35/1.12 inference('cnf', [status(esa)], [clause_977])).
% 3.35/1.12 thf(zip_derived_cl120, plain,
% 3.35/1.12 (![X0 : $i]:
% 3.35/1.12 ( (E @ (f @ X0) @ (f @ (suc @ X0)))
% 3.35/1.12 | ~ (E @ 0 @ (f @ X0))
% 3.35/1.12 | ~ (E @ 0 @ (f @ (suc @ X0))))),
% 3.35/1.12 inference('clc', [status(thm)], [zip_derived_cl116, zip_derived_cl33])).
% 3.35/1.12 thf(zip_derived_cl199, plain,
% 3.35/1.12 (![X0 : $i]:
% 3.35/1.12 (~ (E @ 0 @ (f @ (suc @ X0)))
% 3.35/1.12 | ~ (E @ 0 @ (f @ X0))
% 3.35/1.12 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0)))))),
% 3.35/1.12 inference('clc', [status(thm)], [zip_derived_cl198, zip_derived_cl120])).
% 3.35/1.12 thf(clause_138, axiom,
% 3.35/1.12 (( ~( LE @ ( f @ ( suc @ ( suc @ B_60 ) ) ) @ ( s @ 0 ) ) ) |
% 3.35/1.12 ( E @ 0 @ ( f @ ( suc @ ( suc @ B_60 ) ) ) ) | ( LE @ ( f @ B_60 ) @ 0 ))).
% 3.35/1.12 thf(zip_derived_cl70, plain,
% 3.35/1.12 (![X0 : $i]:
% 3.35/1.12 (~ (LE @ (f @ (suc @ (suc @ X0))) @ (s @ 0))
% 3.35/1.12 | (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 3.35/1.12 | (LE @ (f @ X0) @ 0))),
% 3.35/1.12 inference('cnf', [status(esa)], [clause_138])).
% 3.35/1.12 thf(zip_derived_cl202, plain,
% 3.35/1.12 (![X0 : $i]:
% 3.35/1.12 (~ (E @ 0 @ (f @ X0))
% 3.35/1.12 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 3.35/1.12 | (LE @ (f @ X0) @ 0)
% 3.35/1.12 | ~ (LE @ (f @ (suc @ (suc @ X0))) @ (s @ 0)))),
% 3.35/1.12 inference('sup+', [status(thm)], [zip_derived_cl199, zip_derived_cl70])).
% 3.35/1.12 thf(zip_derived_cl210, plain,
% 3.35/1.12 (![X0 : $i]:
% 3.35/1.12 ( (LE @ (f @ X0) @ 0)
% 3.35/1.12 | ~ (LE @ (f @ (suc @ X0)) @ (s @ 0))
% 3.35/1.12 | ~ (LE @ (f @ (suc @ (suc @ X0))) @ (s @ 0))
% 3.35/1.12 | (LE @ (f @ X0) @ 0)
% 3.35/1.12 | ~ (E @ 0 @ (f @ X0)))),
% 3.35/1.12 inference('sup-', [status(thm)], [zip_derived_cl14, zip_derived_cl202])).
% 3.35/1.12 thf(zip_derived_cl212, plain,
% 3.35/1.12 (![X0 : $i]:
% 3.35/1.12 (~ (E @ 0 @ (f @ X0))
% 3.35/1.12 | ~ (LE @ (f @ (suc @ (suc @ X0))) @ (s @ 0))
% 3.35/1.12 | ~ (LE @ (f @ (suc @ X0)) @ (s @ 0))
% 3.35/1.12 | (LE @ (f @ X0) @ 0))),
% 3.35/1.12 inference('simplify', [status(thm)], [zip_derived_cl210])).
% 3.35/1.12 thf(zip_derived_cl217, plain,
% 3.35/1.12 (![X0 : $i]:
% 3.35/1.12 ( (LE @ (f @ X0) @ 0)
% 3.35/1.12 | ~ (LE @ (f @ X0) @ (s @ 0))
% 3.35/1.12 | (LE @ (f @ X0) @ 0)
% 3.35/1.12 | ~ (LE @ (f @ (suc @ X0)) @ (s @ 0))
% 3.35/1.12 | ~ (LE @ (f @ (suc @ (suc @ X0))) @ (s @ 0)))),
% 3.35/1.12 inference('sup-', [status(thm)], [zip_derived_cl40, zip_derived_cl212])).
% 3.35/1.12 thf(zip_derived_cl220, plain,
% 3.35/1.12 (![X0 : $i]:
% 3.35/1.12 (~ (LE @ (f @ (suc @ (suc @ X0))) @ (s @ 0))
% 3.35/1.12 | ~ (LE @ (f @ (suc @ X0)) @ (s @ 0))
% 3.35/1.12 | ~ (LE @ (f @ X0) @ (s @ 0))
% 3.35/1.12 | (LE @ (f @ X0) @ 0))),
% 3.35/1.12 inference('simplify', [status(thm)], [zip_derived_cl217])).
% 3.35/1.12 thf(clause_1256, axiom,
% 3.35/1.12 (( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ B_45 ) ) ) ) |
% 3.35/1.12 ( ~( E @ ( s @ 0 ) @ ( f @ B_45 ) ) ) |
% 3.35/1.12 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ B_46 ) ) ) ) |
% 3.35/1.12 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ ( suc @ A_1 ) ) ) ) ) |
% 3.35/1.12 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ B_43 ) ) ) ) |
% 3.35/1.12 ( ~( E @ ( s @ 0 ) @ ( f @ A_1 ) ) ) |
% 3.35/1.12 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ A_1 ) ) ) ) |
% 3.35/1.12 ( ~( iLEQ @ ( suc @ A_1 ) @ ( suc @ B_43 ) ) ) |
% 3.35/1.12 ( ~( E @ ( f @ B_44 ) @ ( f @ ( suc @ B_44 ) ) ) ) |
% 3.35/1.12 ( ~( E @ ( f @ B_46 ) @ ( f @ ( suc @ B_46 ) ) ) ) |
% 3.35/1.12 ( ~( E @ ( f @ B_43 ) @ ( f @ ( suc @ B_43 ) ) ) ) |
% 3.35/1.12 ( ~( E @ ( s @ 0 ) @ ( f @ B_43 ) ) ) |
% 3.35/1.12 ( ~( iLEQ @ ( suc @ B_44 ) @ ( suc @ B_45 ) ) ) |
% 3.35/1.12 ( ~( E @ ( s @ 0 ) @ ( f @ B_46 ) ) ) |
% 3.35/1.12 ( ~( E @ ( s @ 0 ) @ ( f @ B_44 ) ) ) |
% 3.35/1.12 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ ( suc @ B_46 ) ) ) ) ) |
% 3.35/1.12 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ ( suc @ B_45 ) ) ) ) ) |
% 3.35/1.12 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ ( suc @ B_44 ) ) ) ) ) |
% 3.35/1.12 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ ( suc @ B_43 ) ) ) ) ) |
% 3.35/1.12 ( ~( E @ ( f @ A_1 ) @ ( f @ ( suc @ A_1 ) ) ) ) |
% 3.35/1.12 ( ~( iLEQ @ ( suc @ B_45 ) @ ( suc @ B_46 ) ) ) |
% 3.35/1.12 ( ~( iLEQ @ ( suc @ B_43 ) @ ( suc @ B_44 ) ) ) |
% 3.35/1.12 ( ~( E @ ( f @ B_45 ) @ ( f @ ( suc @ B_45 ) ) ) ) |
% 3.35/1.12 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ B_44 ) ) ) ))).
% 3.35/1.12 thf(zip_derived_cl52, plain,
% 3.35/1.12 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 3.35/1.12 (~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 3.35/1.12 | ~ (E @ (s @ 0) @ (f @ X0))
% 3.35/1.12 | ~ (E @ (s @ 0) @ (f @ (suc @ X1)))
% 3.35/1.12 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X2))))
% 3.35/1.12 | ~ (E @ (s @ 0) @ (f @ (suc @ X3)))
% 3.35/1.12 | ~ (E @ (s @ 0) @ (f @ X2))
% 3.35/1.12 | ~ (E @ (s @ 0) @ (f @ (suc @ X2)))
% 3.35/1.12 | ~ (iLEQ @ (suc @ X2) @ (suc @ X3))
% 3.35/1.12 | ~ (E @ (f @ X4) @ (f @ (suc @ X4)))
% 3.35/1.12 | ~ (E @ (f @ X1) @ (f @ (suc @ X1)))
% 3.35/1.12 | ~ (E @ (f @ X3) @ (f @ (suc @ X3)))
% 3.35/1.12 | ~ (E @ (s @ 0) @ (f @ X3))
% 3.35/1.12 | ~ (iLEQ @ (suc @ X4) @ (suc @ X0))
% 3.35/1.12 | ~ (E @ (s @ 0) @ (f @ X1))
% 3.35/1.12 | ~ (E @ (s @ 0) @ (f @ X4))
% 3.35/1.12 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X1))))
% 3.35/1.12 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 3.35/1.12 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X4))))
% 3.35/1.12 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X3))))
% 3.35/1.12 | ~ (E @ (f @ X2) @ (f @ (suc @ X2)))
% 3.35/1.12 | ~ (iLEQ @ (suc @ X0) @ (suc @ X1))
% 3.35/1.12 | ~ (iLEQ @ (suc @ X3) @ (suc @ X4))
% 3.35/1.12 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 3.35/1.12 | ~ (E @ (s @ 0) @ (f @ (suc @ X4))))),
% 3.35/1.12 inference('cnf', [status(esa)], [clause_1256])).
% 3.35/1.12 thf(zip_derived_cl248, plain,
% 3.35/1.12 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.35/1.12 (~ (E @ (s @ 0) @ (f @ (suc @ X1)))
% 3.35/1.12 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 3.35/1.12 | ~ (iLEQ @ (suc @ X0) @ (suc @ X1))
% 3.35/1.12 | ~ (iLEQ @ (suc @ X0) @ (suc @ X2))
% 3.35/1.12 | ~ (E @ (f @ X1) @ (f @ (suc @ X1)))
% 3.35/1.12 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 3.35/1.12 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X1))))
% 3.35/1.12 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 3.35/1.12 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X2))))
% 3.35/1.12 | ~ (E @ (s @ 0) @ (f @ X1))
% 3.35/1.12 | ~ (E @ (s @ 0) @ (f @ X2))
% 3.35/1.12 | ~ (iLEQ @ (suc @ X1) @ (suc @ X0))
% 3.35/1.12 | ~ (E @ (s @ 0) @ (f @ X0))
% 3.35/1.12 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 3.35/1.12 | ~ (E @ (f @ X2) @ (f @ (suc @ X2)))
% 3.35/1.12 | ~ (E @ (f @ X1) @ (f @ (suc @ X1)))
% 3.35/1.12 | ~ (E @ (s @ 0) @ (f @ (suc @ X1)))
% 3.35/1.12 | ~ (E @ (s @ 0) @ (f @ X1))
% 3.35/1.12 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 3.35/1.12 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X1))))
% 3.35/1.12 | ~ (E @ (s @ 0) @ (f @ (suc @ X2)))
% 3.35/1.12 | ~ (E @ (s @ 0) @ (f @ X0))
% 3.35/1.12 | ~ (E @ (s @ 0) @ (f @ (suc @ X0))))),
% 3.35/1.12 inference('eq_fact', [status(thm)], [zip_derived_cl52])).
% 3.35/1.12 thf(zip_derived_cl251, plain,
% 3.35/1.12 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.35/1.12 (~ (E @ (s @ 0) @ (f @ (suc @ X2)))
% 3.35/1.12 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 3.35/1.12 | ~ (E @ (f @ X2) @ (f @ (suc @ X2)))
% 3.35/1.12 | ~ (E @ (s @ 0) @ (f @ X0))
% 3.35/1.12 | ~ (iLEQ @ (suc @ X1) @ (suc @ X0))
% 3.35/1.12 | ~ (E @ (s @ 0) @ (f @ X2))
% 3.35/1.12 | ~ (E @ (s @ 0) @ (f @ X1))
% 3.35/1.12 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X2))))
% 3.35/1.12 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X1))))
% 3.35/1.12 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 3.35/1.12 | ~ (E @ (f @ X1) @ (f @ (suc @ X1)))
% 3.35/1.12 | ~ (iLEQ @ (suc @ X0) @ (suc @ X2))
% 3.35/1.12 | ~ (iLEQ @ (suc @ X0) @ (suc @ X1))
% 3.35/1.12 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 3.35/1.12 | ~ (E @ (s @ 0) @ (f @ (suc @ X1))))),
% 3.35/1.12 inference('simplify', [status(thm)], [zip_derived_cl248])).
% 3.35/1.12 thf(zip_derived_cl282, plain,
% 3.35/1.12 (![X0 : $i]:
% 3.35/1.12 (~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 3.35/1.12 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 3.35/1.12 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 3.35/1.12 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 3.35/1.12 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 3.35/1.12 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 3.35/1.12 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 3.35/1.12 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 3.35/1.12 | ~ (E @ (s @ 0) @ (f @ X0))
% 3.35/1.12 | ~ (E @ (s @ 0) @ (f @ X0))
% 3.35/1.12 | ~ (E @ (s @ 0) @ (f @ X0))
% 3.35/1.12 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 3.35/1.12 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 3.35/1.12 | ~ (E @ (s @ 0) @ (f @ (suc @ X0))))),
% 3.35/1.12 inference('eq_fact', [status(thm)], [zip_derived_cl251])).
% 3.35/1.12 thf(zip_derived_cl284, plain,
% 3.35/1.12 (![X0 : $i]:
% 3.35/1.12 (~ (E @ (s @ 0) @ (f @ X0))
% 3.35/1.12 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 3.35/1.12 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 3.35/1.12 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 3.35/1.12 | ~ (E @ (s @ 0) @ (f @ (suc @ X0))))),
% 3.35/1.12 inference('simplify', [status(thm)], [zip_derived_cl282])).
% 3.35/1.12 thf(clause_206, axiom,
% 3.35/1.12 (( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ ( suc @ A_1 ) ) ) ) ) |
% 3.35/1.12 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ A_1 ) ) ) ) |
% 3.35/1.12 ( ~( E @ ( f @ A_1 ) @ ( f @ ( suc @ A_1 ) ) ) ) |
% 3.35/1.12 ( ~( E @ ( s @ 0 ) @ ( f @ A_1 ) ) ) |
% 3.35/1.12 ( iLEQ @ ( suc @ A_1 ) @ ( suc @ A_1 ) ))).
% 3.35/1.12 thf(zip_derived_cl10, plain,
% 3.35/1.12 (![X0 : $i]:
% 3.35/1.12 (~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 3.35/1.12 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 3.35/1.12 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 3.35/1.12 | ~ (E @ (s @ 0) @ (f @ X0))
% 3.35/1.12 | (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 3.35/1.12 inference('cnf', [status(esa)], [clause_206])).
% 3.35/1.12 thf(clause_804, axiom,
% 3.35/1.12 (( ~( E @ ( s @ 0 ) @ ( f @ A_1 ) ) ) |
% 3.35/1.12 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ A_1 ) ) ) ) |
% 3.35/1.12 ( E @ ( f @ A_1 ) @ ( f @ ( suc @ A_1 ) ) ) |
% 3.35/1.12 ( iLEQ @ ( suc @ A_1 ) @ ( suc @ A_1 ) ))).
% 3.35/1.12 thf(zip_derived_cl50, plain,
% 3.35/1.12 (![X0 : $i]:
% 3.35/1.12 (~ (E @ (s @ 0) @ (f @ X0))
% 3.35/1.12 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 3.35/1.12 | (E @ (f @ X0) @ (f @ (suc @ X0)))
% 3.35/1.12 | (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 3.35/1.12 inference('cnf', [status(esa)], [clause_804])).
% 3.35/1.12 thf(zip_derived_cl92, plain,
% 3.35/1.12 (![X0 : $i]:
% 3.35/1.12 ( (iLEQ @ (suc @ X0) @ (suc @ X0))
% 3.35/1.12 | ~ (E @ (s @ 0) @ (f @ X0))
% 3.35/1.12 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 3.35/1.12 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0)))))),
% 3.35/1.12 inference('clc', [status(thm)], [zip_derived_cl10, zip_derived_cl50])).
% 3.35/1.12 thf(zip_derived_cl287, plain,
% 3.35/1.12 (![X0 : $i]:
% 3.35/1.12 (~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 3.35/1.12 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 3.35/1.12 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 3.35/1.12 | ~ (E @ (s @ 0) @ (f @ X0)))),
% 3.35/1.12 inference('clc', [status(thm)], [zip_derived_cl284, zip_derived_cl92])).
% 3.35/1.12 thf(clause_528, axiom,
% 3.35/1.12 (( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ B_45 ) ) ) ) |
% 3.35/1.12 ( ~( E @ ( s @ 0 ) @ ( f @ B_45 ) ) ) |
% 3.35/1.12 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ B_46 ) ) ) ) |
% 3.35/1.12 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ B_43 ) ) ) ) |
% 3.35/1.12 ( ~( E @ ( s @ 0 ) @ ( f @ A_1 ) ) ) |
% 3.35/1.12 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ A_1 ) ) ) ) |
% 3.35/1.12 ( ~( iLEQ @ ( suc @ A_1 ) @ ( suc @ B_43 ) ) ) |
% 3.35/1.12 ( ~( E @ ( s @ 0 ) @ ( f @ B_43 ) ) ) |
% 3.35/1.12 ( ~( iLEQ @ ( suc @ B_44 ) @ ( suc @ B_45 ) ) ) |
% 3.35/1.12 ( ~( E @ ( s @ 0 ) @ ( f @ B_46 ) ) ) |
% 3.35/1.12 ( ~( E @ ( s @ 0 ) @ ( f @ B_44 ) ) ) |
% 3.35/1.12 ( ~( iLEQ @ ( suc @ B_45 ) @ ( suc @ B_46 ) ) ) |
% 3.35/1.12 ( ~( iLEQ @ ( suc @ B_43 ) @ ( suc @ B_44 ) ) ) |
% 3.35/1.12 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ B_44 ) ) ) ) |
% 3.35/1.12 ( E @ ( f @ B_44 ) @ ( f @ ( suc @ B_44 ) ) ) |
% 3.35/1.12 ( E @ ( f @ B_46 ) @ ( f @ ( suc @ B_46 ) ) ) |
% 3.35/1.12 ( E @ ( f @ B_43 ) @ ( f @ ( suc @ B_43 ) ) ) |
% 3.35/1.12 ( E @ ( f @ A_1 ) @ ( f @ ( suc @ A_1 ) ) ) |
% 3.35/1.12 ( E @ ( f @ B_45 ) @ ( f @ ( suc @ B_45 ) ) ))).
% 3.35/1.12 thf(zip_derived_cl6, plain,
% 3.35/1.12 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 3.35/1.12 (~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 3.35/1.12 | ~ (E @ (s @ 0) @ (f @ X0))
% 3.35/1.12 | ~ (E @ (s @ 0) @ (f @ (suc @ X1)))
% 3.35/1.12 | ~ (E @ (s @ 0) @ (f @ (suc @ X2)))
% 3.35/1.12 | ~ (E @ (s @ 0) @ (f @ X3))
% 3.35/1.12 | ~ (E @ (s @ 0) @ (f @ (suc @ X3)))
% 3.35/1.12 | ~ (iLEQ @ (suc @ X3) @ (suc @ X2))
% 3.35/1.12 | ~ (E @ (s @ 0) @ (f @ X2))
% 3.35/1.12 | ~ (iLEQ @ (suc @ X4) @ (suc @ X0))
% 3.35/1.12 | ~ (E @ (s @ 0) @ (f @ X1))
% 3.35/1.12 | ~ (E @ (s @ 0) @ (f @ X4))
% 3.35/1.12 | ~ (iLEQ @ (suc @ X0) @ (suc @ X1))
% 3.35/1.12 | ~ (iLEQ @ (suc @ X2) @ (suc @ X4))
% 3.35/1.12 | ~ (E @ (s @ 0) @ (f @ (suc @ X4)))
% 3.35/1.12 | (E @ (f @ X4) @ (f @ (suc @ X4)))
% 3.35/1.12 | (E @ (f @ X1) @ (f @ (suc @ X1)))
% 3.35/1.12 | (E @ (f @ X2) @ (f @ (suc @ X2)))
% 3.35/1.12 | (E @ (f @ X3) @ (f @ (suc @ X3)))
% 3.35/1.12 | (E @ (f @ X0) @ (f @ (suc @ X0))))),
% 3.35/1.12 inference('cnf', [status(esa)], [clause_528])).
% 3.35/1.12 thf(zip_derived_cl141, plain,
% 3.35/1.12 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.35/1.12 ( (E @ (f @ X0) @ (f @ (suc @ X0)))
% 3.35/1.12 | (E @ (f @ X1) @ (f @ (suc @ X1)))
% 3.35/1.12 | (E @ (f @ X0) @ (f @ (suc @ X0)))
% 3.35/1.12 | (E @ (f @ X2) @ (f @ (suc @ X2)))
% 3.35/1.12 | (E @ (f @ X1) @ (f @ (suc @ X1)))
% 3.35/1.12 | ~ (E @ (s @ 0) @ (f @ (suc @ X1)))
% 3.35/1.12 | ~ (iLEQ @ (suc @ X0) @ (suc @ X1))
% 3.35/1.12 | ~ (iLEQ @ (suc @ X0) @ (suc @ X2))
% 3.35/1.12 | ~ (E @ (s @ 0) @ (f @ X1))
% 3.35/1.12 | ~ (E @ (s @ 0) @ (f @ X2))
% 3.35/1.12 | ~ (iLEQ @ (suc @ X1) @ (suc @ X0))
% 3.35/1.12 | ~ (E @ (s @ 0) @ (f @ X0))
% 3.35/1.12 | ~ (E @ (s @ 0) @ (f @ (suc @ X1)))
% 3.35/1.12 | ~ (E @ (s @ 0) @ (f @ X1))
% 3.35/1.12 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 3.35/1.12 | ~ (E @ (s @ 0) @ (f @ (suc @ X2)))
% 3.35/1.12 | ~ (E @ (s @ 0) @ (f @ X0))
% 3.35/1.12 | ~ (E @ (s @ 0) @ (f @ (suc @ X0))))),
% 3.35/1.12 inference('eq_fact', [status(thm)], [zip_derived_cl6])).
% 3.35/1.12 thf(zip_derived_cl144, plain,
% 3.35/1.12 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.35/1.12 (~ (E @ (s @ 0) @ (f @ (suc @ X2)))
% 3.35/1.12 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 3.35/1.12 | ~ (E @ (s @ 0) @ (f @ X0))
% 3.35/1.12 | ~ (iLEQ @ (suc @ X1) @ (suc @ X0))
% 3.35/1.12 | ~ (E @ (s @ 0) @ (f @ X2))
% 3.35/1.12 | ~ (E @ (s @ 0) @ (f @ X1))
% 3.35/1.12 | ~ (iLEQ @ (suc @ X0) @ (suc @ X2))
% 3.35/1.12 | ~ (iLEQ @ (suc @ X0) @ (suc @ X1))
% 3.35/1.12 | ~ (E @ (s @ 0) @ (f @ (suc @ X1)))
% 3.35/1.12 | (E @ (f @ X2) @ (f @ (suc @ X2)))
% 3.35/1.12 | (E @ (f @ X1) @ (f @ (suc @ X1)))
% 3.35/1.12 | (E @ (f @ X0) @ (f @ (suc @ X0))))),
% 3.35/1.12 inference('simplify', [status(thm)], [zip_derived_cl141])).
% 3.35/1.12 thf(zip_derived_cl153, plain,
% 3.35/1.12 (![X0 : $i]:
% 3.35/1.12 ( (E @ (f @ X0) @ (f @ (suc @ X0)))
% 3.35/1.12 | (E @ (f @ X0) @ (f @ (suc @ X0)))
% 3.35/1.12 | (E @ (f @ X0) @ (f @ (suc @ X0)))
% 3.35/1.12 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 3.35/1.12 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 3.35/1.12 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 3.35/1.12 | ~ (E @ (s @ 0) @ (f @ X0))
% 3.35/1.12 | ~ (E @ (s @ 0) @ (f @ X0))
% 3.35/1.12 | ~ (E @ (s @ 0) @ (f @ X0))
% 3.35/1.12 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 3.35/1.12 | ~ (E @ (s @ 0) @ (f @ (suc @ X0))))),
% 3.35/1.12 inference('eq_fact', [status(thm)], [zip_derived_cl144])).
% 3.35/1.12 thf(zip_derived_cl155, plain,
% 3.35/1.12 (![X0 : $i]:
% 3.35/1.12 (~ (E @ (s @ 0) @ (f @ X0))
% 3.35/1.12 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 3.35/1.12 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 3.35/1.12 | (E @ (f @ X0) @ (f @ (suc @ X0))))),
% 3.35/1.12 inference('simplify', [status(thm)], [zip_derived_cl153])).
% 3.35/1.12 thf(zip_derived_cl50, plain,
% 3.35/1.12 (![X0 : $i]:
% 3.35/1.12 (~ (E @ (s @ 0) @ (f @ X0))
% 3.35/1.12 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 3.35/1.12 | (E @ (f @ X0) @ (f @ (suc @ X0)))
% 3.35/1.12 | (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 3.35/1.12 inference('cnf', [status(esa)], [clause_804])).
% 3.35/1.12 thf(zip_derived_cl160, plain,
% 3.35/1.12 (![X0 : $i]:
% 3.35/1.12 ( (E @ (f @ X0) @ (f @ (suc @ X0)))
% 3.35/1.12 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 3.35/1.12 | ~ (E @ (s @ 0) @ (f @ X0)))),
% 3.35/1.12 inference('clc', [status(thm)], [zip_derived_cl155, zip_derived_cl50])).
% 3.35/1.12 thf(zip_derived_cl288, plain,
% 3.35/1.12 (![X0 : $i]:
% 3.35/1.12 (~ (E @ (s @ 0) @ (f @ X0))
% 3.35/1.12 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 3.35/1.12 | ~ (E @ (s @ 0) @ (f @ (suc @ X0))))),
% 3.35/1.12 inference('clc', [status(thm)], [zip_derived_cl287, zip_derived_cl160])).
% 3.35/1.12 thf(clause_372, axiom,
% 3.35/1.12 (( ~( LE @ ( f @ ( suc @ ( suc @ B_42 ) ) ) @ ( s @ ( s @ 0 ) ) ) ) |
% 3.35/1.12 ( E @ ( s @ 0 ) @ ( f @ ( suc @ ( suc @ B_42 ) ) ) ) |
% 3.35/1.12 ( LE @ ( f @ B_42 ) @ ( s @ 0 ) ))).
% 3.35/1.12 thf(zip_derived_cl12, plain,
% 3.35/1.12 (![X0 : $i]:
% 3.35/1.12 (~ (LE @ (f @ (suc @ (suc @ X0))) @ (s @ (s @ 0)))
% 3.35/1.12 | (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 3.35/1.12 | (LE @ (f @ X0) @ (s @ 0)))),
% 3.35/1.12 inference('cnf', [status(esa)], [clause_372])).
% 3.35/1.12 thf(clause_681, axiom, (LE @ ( f @ A ) @ ( s @ ( s @ 0 ) ))).
% 3.35/1.12 thf(zip_derived_cl47, plain, (![X0 : $i]: (LE @ (f @ X0) @ (s @ (s @ 0)))),
% 3.35/1.12 inference('cnf', [status(esa)], [clause_681])).
% 3.35/1.12 thf(zip_derived_cl91, plain,
% 3.35/1.12 (![X0 : $i]:
% 3.35/1.12 ( (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 3.35/1.12 | (LE @ (f @ X0) @ (s @ 0)))),
% 3.35/1.12 inference('demod', [status(thm)], [zip_derived_cl12, zip_derived_cl47])).
% 3.35/1.12 thf(zip_derived_cl291, plain,
% 3.35/1.12 (![X0 : $i]:
% 3.35/1.12 (~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 3.35/1.12 | ~ (E @ (s @ 0) @ (f @ X0))
% 3.35/1.12 | (LE @ (f @ X0) @ (s @ 0)))),
% 3.35/1.12 inference('sup+', [status(thm)], [zip_derived_cl288, zip_derived_cl91])).
% 3.35/1.12 thf(clause_1111, axiom,
% 3.35/1.12 (( ~( LE @ ( f @ ( suc @ B_42 ) ) @ ( s @ ( s @ 0 ) ) ) ) |
% 3.35/1.12 ( E @ ( s @ 0 ) @ ( f @ ( suc @ B_42 ) ) ) |
% 3.35/1.12 ( LE @ ( f @ B_42 ) @ ( s @ 0 ) ))).
% 3.35/1.12 thf(zip_derived_cl32, plain,
% 3.35/1.12 (![X0 : $i]:
% 3.35/1.12 (~ (LE @ (f @ (suc @ X0)) @ (s @ (s @ 0)))
% 3.35/1.12 | (E @ (s @ 0) @ (f @ (suc @ X0)))
% 3.35/1.12 | (LE @ (f @ X0) @ (s @ 0)))),
% 3.35/1.12 inference('cnf', [status(esa)], [clause_1111])).
% 3.35/1.12 thf(zip_derived_cl47, plain, (![X0 : $i]: (LE @ (f @ X0) @ (s @ (s @ 0)))),
% 3.35/1.12 inference('cnf', [status(esa)], [clause_681])).
% 3.35/1.12 thf(zip_derived_cl88, plain,
% 3.35/1.12 (![X0 : $i]:
% 3.35/1.12 ( (E @ (s @ 0) @ (f @ (suc @ X0))) | (LE @ (f @ X0) @ (s @ 0)))),
% 3.35/1.12 inference('demod', [status(thm)], [zip_derived_cl32, zip_derived_cl47])).
% 3.35/1.12 thf(zip_derived_cl295, plain,
% 3.35/1.12 (![X0 : $i]: ( (LE @ (f @ X0) @ (s @ 0)) | ~ (E @ (s @ 0) @ (f @ X0)))),
% 3.35/1.12 inference('clc', [status(thm)], [zip_derived_cl291, zip_derived_cl88])).
% 3.35/1.12 thf(clause_174, axiom,
% 3.35/1.12 (( ~( LE @ ( f @ B_42 ) @ ( s @ ( s @ 0 ) ) ) ) |
% 3.35/1.12 ( E @ ( s @ 0 ) @ ( f @ B_42 ) ) | ( LE @ ( f @ B_42 ) @ ( s @ 0 ) ))).
% 3.35/1.12 thf(zip_derived_cl30, plain,
% 3.35/1.12 (![X0 : $i]:
% 3.35/1.12 (~ (LE @ (f @ X0) @ (s @ (s @ 0)))
% 3.35/1.12 | (E @ (s @ 0) @ (f @ X0))
% 3.35/1.12 | (LE @ (f @ X0) @ (s @ 0)))),
% 3.35/1.12 inference('cnf', [status(esa)], [clause_174])).
% 3.35/1.12 thf(zip_derived_cl47, plain, (![X0 : $i]: (LE @ (f @ X0) @ (s @ (s @ 0)))),
% 3.35/1.12 inference('cnf', [status(esa)], [clause_681])).
% 3.35/1.12 thf(zip_derived_cl76, plain,
% 3.35/1.12 (![X0 : $i]: ( (E @ (s @ 0) @ (f @ X0)) | (LE @ (f @ X0) @ (s @ 0)))),
% 3.35/1.12 inference('demod', [status(thm)], [zip_derived_cl30, zip_derived_cl47])).
% 3.35/1.12 thf(zip_derived_cl296, plain, (![X0 : $i]: (LE @ (f @ X0) @ (s @ 0))),
% 3.35/1.12 inference('clc', [status(thm)], [zip_derived_cl295, zip_derived_cl76])).
% 3.35/1.12 thf(zip_derived_cl296, plain, (![X0 : $i]: (LE @ (f @ X0) @ (s @ 0))),
% 3.35/1.12 inference('clc', [status(thm)], [zip_derived_cl295, zip_derived_cl76])).
% 3.35/1.12 thf(zip_derived_cl296, plain, (![X0 : $i]: (LE @ (f @ X0) @ (s @ 0))),
% 3.35/1.12 inference('clc', [status(thm)], [zip_derived_cl295, zip_derived_cl76])).
% 3.35/1.12 thf(zip_derived_cl304, plain, (![X0 : $i]: (LE @ (f @ X0) @ 0)),
% 3.35/1.12 inference('demod', [status(thm)],
% 3.35/1.12 [zip_derived_cl220, zip_derived_cl296, zip_derived_cl296,
% 3.35/1.12 zip_derived_cl296])).
% 3.35/1.12 thf(zip_derived_cl310, plain, ($false),
% 3.35/1.12 inference('demod', [status(thm)], [zip_derived_cl0, zip_derived_cl304])).
% 3.35/1.12
% 3.35/1.12 % SZS output end Refutation
% 3.35/1.12
% 3.35/1.12
% 3.35/1.12 % Terminating...
% 3.35/1.19 % Runner terminated.
% 3.35/1.21 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------