TSTP Solution File: SYO657-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYO657-1 : 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.3am0OyYGKo true
% Computer : n032.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 05:52:27 EDT 2023
% Result : Unsatisfiable 0.16s 0.66s
% Output : Refutation 0.16s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SYO657-1 : TPTP v8.1.2. Released v7.3.0.
% 0.00/0.11 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.3am0OyYGKo true
% 0.11/0.30 % Computer : n032.cluster.edu
% 0.11/0.30 % Model : x86_64 x86_64
% 0.11/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.30 % Memory : 8042.1875MB
% 0.11/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Sat Aug 26 07:49:28 EDT 2023
% 0.11/0.31 % CPUTime :
% 0.11/0.31 % Running portfolio for 300 s
% 0.11/0.31 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.31 % Number of cores: 8
% 0.11/0.31 % Python version: Python 3.6.8
% 0.11/0.31 % Running in FO mode
% 0.16/0.49 % Total configuration time : 435
% 0.16/0.49 % Estimated wc time : 1092
% 0.16/0.49 % Estimated cpu time (7 cpus) : 156.0
% 0.16/0.57 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.16/0.61 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.16/0.61 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.16/0.61 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.16/0.61 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.16/0.62 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.16/0.65 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.16/0.66 % Solved by fo/fo6_bce.sh.
% 0.16/0.66 % BCE start: 20
% 0.16/0.66 % BCE eliminated: 0
% 0.16/0.66 % PE start: 20
% 0.16/0.66 logic: neq
% 0.16/0.66 % PE eliminated: 4
% 0.16/0.66 % done 54 iterations in 0.052s
% 0.16/0.66 % SZS status Unsatisfiable for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.16/0.66 % SZS output start Refutation
% 0.16/0.66 thf(LE_type, type, LE: $i > $i > $o).
% 0.16/0.66 thf(z_type, type, z: $i).
% 0.16/0.66 thf(suc_type, type, suc: $i > $i).
% 0.16/0.66 thf(f_type, type, f: $i > $i).
% 0.16/0.66 thf(s_type, type, s: $i > $i).
% 0.16/0.66 thf(0_type, type, 0: $i).
% 0.16/0.66 thf(E_type, type, E: $i > $i > $o).
% 0.16/0.66 thf(iLEQ_type, type, iLEQ: $i > $i > $o).
% 0.16/0.66 thf(clause_24, axiom, (~( LE @ ( f @ z ) @ 0 ))).
% 0.16/0.66 thf(zip_derived_cl14, plain, (~ (LE @ (f @ z) @ 0)),
% 0.16/0.66 inference('cnf', [status(esa)], [clause_24])).
% 0.16/0.66 thf(clause_45, axiom,
% 0.16/0.66 (( ~( LE @ ( f @ ( suc @ ( suc @ B_2 ) ) ) @ ( s @ ( s @ 0 ) ) ) ) |
% 0.16/0.66 ( E @ ( s @ 0 ) @ ( f @ ( suc @ ( suc @ B_2 ) ) ) ) |
% 0.16/0.66 ( LE @ ( f @ B_2 ) @ ( s @ 0 ) ))).
% 0.16/0.66 thf(zip_derived_cl1, plain,
% 0.16/0.66 (![X0 : $i]:
% 0.16/0.66 (~ (LE @ (f @ (suc @ (suc @ X0))) @ (s @ (s @ 0)))
% 0.16/0.66 | (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 0.16/0.66 | (LE @ (f @ X0) @ (s @ 0)))),
% 0.16/0.66 inference('cnf', [status(esa)], [clause_45])).
% 0.16/0.66 thf(clause_17, axiom, (LE @ ( f @ A ) @ ( s @ ( s @ 0 ) ))).
% 0.16/0.66 thf(zip_derived_cl2, plain, (![X0 : $i]: (LE @ (f @ X0) @ (s @ (s @ 0)))),
% 0.16/0.66 inference('cnf', [status(esa)], [clause_17])).
% 0.16/0.66 thf(zip_derived_cl52, plain,
% 0.16/0.66 (![X0 : $i]:
% 0.16/0.66 ( (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 0.16/0.66 | (LE @ (f @ X0) @ (s @ 0)))),
% 0.16/0.66 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 0.16/0.66 thf(clause_9, axiom,
% 0.16/0.66 (( ~( LE @ ( f @ B_2 ) @ ( s @ ( s @ 0 ) ) ) ) |
% 0.16/0.66 ( E @ ( s @ 0 ) @ ( f @ B_2 ) ) | ( LE @ ( f @ B_2 ) @ ( s @ 0 ) ))).
% 0.16/0.66 thf(zip_derived_cl6, plain,
% 0.16/0.66 (![X0 : $i]:
% 0.16/0.66 (~ (LE @ (f @ X0) @ (s @ (s @ 0)))
% 0.16/0.66 | (E @ (s @ 0) @ (f @ X0))
% 0.16/0.66 | (LE @ (f @ X0) @ (s @ 0)))),
% 0.16/0.66 inference('cnf', [status(esa)], [clause_9])).
% 0.16/0.66 thf(zip_derived_cl2, plain, (![X0 : $i]: (LE @ (f @ X0) @ (s @ (s @ 0)))),
% 0.16/0.66 inference('cnf', [status(esa)], [clause_17])).
% 0.16/0.66 thf(zip_derived_cl53, plain,
% 0.16/0.66 (![X0 : $i]: ( (E @ (s @ 0) @ (f @ X0)) | (LE @ (f @ X0) @ (s @ 0)))),
% 0.16/0.66 inference('demod', [status(thm)], [zip_derived_cl6, zip_derived_cl2])).
% 0.16/0.66 thf(clause_51, axiom,
% 0.16/0.66 (( ~( LE @ ( f @ ( suc @ ( suc @ B_5 ) ) ) @ ( s @ 0 ) ) ) |
% 0.16/0.66 ( E @ 0 @ ( f @ ( suc @ ( suc @ B_5 ) ) ) ) | ( LE @ ( f @ B_5 ) @ 0 ))).
% 0.16/0.66 thf(zip_derived_cl13, plain,
% 0.16/0.66 (![X0 : $i]:
% 0.16/0.66 (~ (LE @ (f @ (suc @ (suc @ X0))) @ (s @ 0))
% 0.16/0.66 | (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 0.16/0.66 | (LE @ (f @ X0) @ 0))),
% 0.16/0.66 inference('cnf', [status(esa)], [clause_51])).
% 0.16/0.66 thf(zip_derived_cl56, plain,
% 0.16/0.66 (![X0 : $i]:
% 0.16/0.66 ( (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 0.16/0.66 | (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 0.16/0.66 | (LE @ (f @ X0) @ 0))),
% 0.16/0.66 inference('s_sup-', [status(thm)], [zip_derived_cl53, zip_derived_cl13])).
% 0.16/0.66 thf(clause_5, axiom,
% 0.16/0.66 (( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ ( suc @ A_1 ) ) ) ) ) |
% 0.16/0.66 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ A_1 ) ) ) ) |
% 0.16/0.66 ( ~( E @ ( f @ A_1 ) @ ( f @ ( suc @ A_1 ) ) ) ) |
% 0.16/0.66 ( ~( E @ ( s @ 0 ) @ ( f @ A_1 ) ) ) |
% 0.16/0.66 ( iLEQ @ ( suc @ A_1 ) @ ( suc @ A_1 ) ))).
% 0.16/0.66 thf(zip_derived_cl17, plain,
% 0.16/0.66 (![X0 : $i]:
% 0.16/0.66 (~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 0.16/0.66 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 0.16/0.66 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.16/0.66 | ~ (E @ (s @ 0) @ (f @ X0))
% 0.16/0.66 | (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 0.16/0.66 inference('cnf', [status(esa)], [clause_5])).
% 0.16/0.66 thf(clause_33, axiom,
% 0.16/0.66 (( ~( iLEQ @ ( suc @ A_1 ) @ ( suc @ B_3 ) ) ) |
% 0.16/0.66 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ ( suc @ A_1 ) ) ) ) ) |
% 0.16/0.66 ( ~( E @ ( s @ 0 ) @ ( f @ A_1 ) ) ) |
% 0.16/0.66 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ ( suc @ B_3 ) ) ) ) ) |
% 0.16/0.66 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ A_1 ) ) ) ) |
% 0.16/0.66 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ B_3 ) ) ) ) |
% 0.16/0.66 ( ~( E @ ( s @ 0 ) @ ( f @ B_3 ) ) ) |
% 0.16/0.66 ( ~( E @ ( f @ B_3 ) @ ( f @ ( suc @ B_3 ) ) ) ) |
% 0.16/0.66 ( ~( E @ ( f @ A_1 ) @ ( f @ ( suc @ A_1 ) ) ) ))).
% 0.16/0.66 thf(zip_derived_cl19, plain,
% 0.16/0.66 (![X0 : $i, X1 : $i]:
% 0.16/0.66 (~ (iLEQ @ (suc @ X0) @ (suc @ X1))
% 0.16/0.66 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 0.16/0.66 | ~ (E @ (s @ 0) @ (f @ X0))
% 0.16/0.66 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X1))))
% 0.16/0.66 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 0.16/0.66 | ~ (E @ (s @ 0) @ (f @ (suc @ X1)))
% 0.16/0.66 | ~ (E @ (s @ 0) @ (f @ X1))
% 0.16/0.66 | ~ (E @ (f @ X1) @ (f @ (suc @ X1)))
% 0.16/0.66 | ~ (E @ (f @ X0) @ (f @ (suc @ X0))))),
% 0.16/0.66 inference('cnf', [status(esa)], [clause_33])).
% 0.16/0.66 thf(zip_derived_cl51, plain,
% 0.16/0.66 (![X0 : $i]:
% 0.16/0.66 (~ (E @ (s @ 0) @ (f @ X0))
% 0.16/0.66 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.16/0.66 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 0.16/0.66 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 0.16/0.66 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.16/0.66 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.16/0.66 | ~ (E @ (s @ 0) @ (f @ X0))
% 0.16/0.66 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 0.16/0.66 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 0.16/0.66 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 0.16/0.66 | ~ (E @ (s @ 0) @ (f @ X0))
% 0.16/0.66 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0)))))),
% 0.16/0.66 inference('dp-resolution', [status(thm)],
% 0.16/0.66 [zip_derived_cl17, zip_derived_cl19])).
% 0.16/0.66 thf(zip_derived_cl103, plain,
% 0.16/0.66 (![X0 : $i]:
% 0.16/0.66 (~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 0.16/0.66 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 0.16/0.66 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.16/0.66 | ~ (E @ (s @ 0) @ (f @ X0)))),
% 0.16/0.66 inference('simplify', [status(thm)], [zip_derived_cl51])).
% 0.16/0.66 thf(clause_23, axiom,
% 0.16/0.66 (( ~( E @ ( s @ 0 ) @ ( f @ A_1 ) ) ) |
% 0.16/0.66 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ A_1 ) ) ) ) |
% 0.16/0.66 ( E @ ( f @ A_1 ) @ ( f @ ( suc @ A_1 ) ) ) |
% 0.16/0.66 ( iLEQ @ ( suc @ A_1 ) @ ( suc @ A_1 ) ))).
% 0.16/0.66 thf(zip_derived_cl3, plain,
% 0.16/0.66 (![X0 : $i]:
% 0.16/0.66 (~ (E @ (s @ 0) @ (f @ X0))
% 0.16/0.66 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 0.16/0.66 | (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.16/0.66 | (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 0.16/0.66 inference('cnf', [status(esa)], [clause_23])).
% 0.16/0.66 thf(clause_52, axiom,
% 0.16/0.66 (( ~( iLEQ @ ( suc @ A_1 ) @ ( suc @ B_3 ) ) ) |
% 0.16/0.66 ( ~( E @ ( s @ 0 ) @ ( f @ A_1 ) ) ) |
% 0.16/0.66 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ A_1 ) ) ) ) |
% 0.16/0.66 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ B_3 ) ) ) ) |
% 0.16/0.66 ( ~( E @ ( s @ 0 ) @ ( f @ B_3 ) ) ) |
% 0.16/0.66 ( E @ ( f @ A_1 ) @ ( f @ ( suc @ A_1 ) ) ) |
% 0.16/0.66 ( E @ ( f @ B_3 ) @ ( f @ ( suc @ B_3 ) ) ))).
% 0.16/0.66 thf(zip_derived_cl16, plain,
% 0.16/0.66 (![X0 : $i, X1 : $i]:
% 0.16/0.66 (~ (iLEQ @ (suc @ X0) @ (suc @ X1))
% 0.16/0.66 | ~ (E @ (s @ 0) @ (f @ X0))
% 0.16/0.66 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 0.16/0.66 | ~ (E @ (s @ 0) @ (f @ (suc @ X1)))
% 0.16/0.66 | ~ (E @ (s @ 0) @ (f @ X1))
% 0.16/0.66 | (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.16/0.66 | (E @ (f @ X1) @ (f @ (suc @ X1))))),
% 0.16/0.66 inference('cnf', [status(esa)], [clause_52])).
% 0.16/0.66 thf(zip_derived_cl25, plain,
% 0.16/0.66 (![X0 : $i]:
% 0.16/0.66 ( (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.16/0.66 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 0.16/0.66 | ~ (E @ (s @ 0) @ (f @ X0))
% 0.16/0.66 | (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.16/0.66 | (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.16/0.66 | ~ (E @ (s @ 0) @ (f @ X0))
% 0.16/0.66 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 0.16/0.66 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 0.16/0.66 | ~ (E @ (s @ 0) @ (f @ X0)))),
% 0.16/0.66 inference('dp-resolution', [status(thm)],
% 0.16/0.66 [zip_derived_cl3, zip_derived_cl16])).
% 0.16/0.66 thf(zip_derived_cl64, plain,
% 0.16/0.66 (![X0 : $i]:
% 0.16/0.66 (~ (E @ (s @ 0) @ (f @ X0))
% 0.16/0.66 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 0.16/0.66 | (E @ (f @ X0) @ (f @ (suc @ X0))))),
% 0.16/0.66 inference('simplify', [status(thm)], [zip_derived_cl25])).
% 0.16/0.66 thf(zip_derived_cl104, plain,
% 0.16/0.66 (![X0 : $i]:
% 0.16/0.66 (~ (E @ (s @ 0) @ (f @ X0))
% 0.16/0.66 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 0.16/0.66 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0)))))),
% 0.16/0.66 inference('clc', [status(thm)], [zip_derived_cl103, zip_derived_cl64])).
% 0.16/0.66 thf(zip_derived_cl106, plain,
% 0.16/0.66 (![X0 : $i]:
% 0.16/0.66 ( (LE @ (f @ X0) @ 0)
% 0.16/0.66 | (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 0.16/0.66 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 0.16/0.66 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ (suc @ X0)))))))),
% 0.16/0.66 inference('s_sup-', [status(thm)], [zip_derived_cl56, zip_derived_cl104])).
% 0.16/0.66 thf(clause_32, axiom,
% 0.16/0.66 (( ~( LE @ ( f @ ( suc @ B_2 ) ) @ ( s @ ( s @ 0 ) ) ) ) |
% 0.16/0.66 ( E @ ( s @ 0 ) @ ( f @ ( suc @ B_2 ) ) ) |
% 0.16/0.66 ( LE @ ( f @ B_2 ) @ ( s @ 0 ) ))).
% 0.16/0.66 thf(zip_derived_cl15, plain,
% 0.16/0.66 (![X0 : $i]:
% 0.16/0.66 (~ (LE @ (f @ (suc @ X0)) @ (s @ (s @ 0)))
% 0.16/0.66 | (E @ (s @ 0) @ (f @ (suc @ X0)))
% 0.16/0.66 | (LE @ (f @ X0) @ (s @ 0)))),
% 0.16/0.66 inference('cnf', [status(esa)], [clause_32])).
% 0.16/0.66 thf(zip_derived_cl2, plain, (![X0 : $i]: (LE @ (f @ X0) @ (s @ (s @ 0)))),
% 0.16/0.66 inference('cnf', [status(esa)], [clause_17])).
% 0.16/0.66 thf(zip_derived_cl57, plain,
% 0.16/0.66 (![X0 : $i]:
% 0.16/0.66 ( (E @ (s @ 0) @ (f @ (suc @ X0))) | (LE @ (f @ X0) @ (s @ 0)))),
% 0.16/0.66 inference('demod', [status(thm)], [zip_derived_cl15, zip_derived_cl2])).
% 0.16/0.66 thf(zip_derived_cl13, plain,
% 0.16/0.66 (![X0 : $i]:
% 0.16/0.66 (~ (LE @ (f @ (suc @ (suc @ X0))) @ (s @ 0))
% 0.16/0.66 | (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 0.16/0.66 | (LE @ (f @ X0) @ 0))),
% 0.16/0.66 inference('cnf', [status(esa)], [clause_51])).
% 0.16/0.66 thf(zip_derived_cl60, plain,
% 0.16/0.66 (![X0 : $i]:
% 0.16/0.66 ( (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 0.16/0.66 | (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 0.16/0.66 | (LE @ (f @ X0) @ 0))),
% 0.16/0.66 inference('s_sup-', [status(thm)], [zip_derived_cl57, zip_derived_cl13])).
% 0.16/0.66 thf(zip_derived_cl168, plain,
% 0.16/0.66 (![X0 : $i]:
% 0.16/0.66 (~ (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ (suc @ X0))))))
% 0.16/0.66 | (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 0.16/0.66 | (LE @ (f @ X0) @ 0))),
% 0.16/0.66 inference('clc', [status(thm)], [zip_derived_cl106, zip_derived_cl60])).
% 0.16/0.66 thf(zip_derived_cl169, plain,
% 0.16/0.66 (![X0 : $i]:
% 0.16/0.66 ( (LE @ (f @ (suc @ (suc @ X0))) @ (s @ 0))
% 0.16/0.66 | (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 0.16/0.66 | (LE @ (f @ X0) @ 0))),
% 0.16/0.66 inference('s_sup-', [status(thm)], [zip_derived_cl52, zip_derived_cl168])).
% 0.16/0.66 thf(zip_derived_cl13, plain,
% 0.16/0.66 (![X0 : $i]:
% 0.16/0.66 (~ (LE @ (f @ (suc @ (suc @ X0))) @ (s @ 0))
% 0.16/0.66 | (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 0.16/0.66 | (LE @ (f @ X0) @ 0))),
% 0.16/0.66 inference('cnf', [status(esa)], [clause_51])).
% 0.16/0.66 thf(zip_derived_cl172, plain,
% 0.16/0.66 (![X0 : $i]: ( (LE @ (f @ X0) @ 0) | (E @ 0 @ (f @ (suc @ (suc @ X0)))))),
% 0.16/0.66 inference('clc', [status(thm)], [zip_derived_cl169, zip_derived_cl13])).
% 0.16/0.66 thf(zip_derived_cl52, plain,
% 0.16/0.66 (![X0 : $i]:
% 0.16/0.66 ( (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 0.16/0.66 | (LE @ (f @ X0) @ (s @ 0)))),
% 0.16/0.66 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 0.16/0.66 thf(zip_derived_cl53, plain,
% 0.16/0.66 (![X0 : $i]: ( (E @ (s @ 0) @ (f @ X0)) | (LE @ (f @ X0) @ (s @ 0)))),
% 0.16/0.66 inference('demod', [status(thm)], [zip_derived_cl6, zip_derived_cl2])).
% 0.16/0.66 thf(clause_34, axiom,
% 0.16/0.66 (( ~( LE @ ( f @ B_5 ) @ ( s @ 0 ) ) ) | ( E @ 0 @ ( f @ B_5 ) ) |
% 0.16/0.66 ( LE @ ( f @ B_5 ) @ 0 ))).
% 0.16/0.66 thf(zip_derived_cl7, plain,
% 0.16/0.66 (![X0 : $i]:
% 0.16/0.66 (~ (LE @ (f @ X0) @ (s @ 0))
% 0.16/0.66 | (E @ 0 @ (f @ X0))
% 0.16/0.66 | (LE @ (f @ X0) @ 0))),
% 0.16/0.66 inference('cnf', [status(esa)], [clause_34])).
% 0.16/0.66 thf(zip_derived_cl54, plain,
% 0.16/0.66 (![X0 : $i]:
% 0.16/0.66 ( (E @ (s @ 0) @ (f @ X0))
% 0.16/0.66 | (E @ 0 @ (f @ X0))
% 0.16/0.66 | (LE @ (f @ X0) @ 0))),
% 0.16/0.66 inference('s_sup-', [status(thm)], [zip_derived_cl53, zip_derived_cl7])).
% 0.16/0.66 thf(zip_derived_cl104, plain,
% 0.16/0.66 (![X0 : $i]:
% 0.16/0.66 (~ (E @ (s @ 0) @ (f @ X0))
% 0.16/0.66 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 0.16/0.66 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0)))))),
% 0.16/0.66 inference('clc', [status(thm)], [zip_derived_cl103, zip_derived_cl64])).
% 0.16/0.66 thf(zip_derived_cl108, plain,
% 0.16/0.66 (![X0 : $i]:
% 0.16/0.66 ( (LE @ (f @ X0) @ 0)
% 0.16/0.66 | (E @ 0 @ (f @ X0))
% 0.16/0.66 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 0.16/0.66 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0)))))),
% 0.16/0.66 inference('s_sup-', [status(thm)], [zip_derived_cl54, zip_derived_cl104])).
% 0.16/0.66 thf(zip_derived_cl57, plain,
% 0.16/0.66 (![X0 : $i]:
% 0.16/0.66 ( (E @ (s @ 0) @ (f @ (suc @ X0))) | (LE @ (f @ X0) @ (s @ 0)))),
% 0.16/0.66 inference('demod', [status(thm)], [zip_derived_cl15, zip_derived_cl2])).
% 0.16/0.66 thf(zip_derived_cl7, plain,
% 0.16/0.66 (![X0 : $i]:
% 0.16/0.66 (~ (LE @ (f @ X0) @ (s @ 0))
% 0.16/0.66 | (E @ 0 @ (f @ X0))
% 0.16/0.66 | (LE @ (f @ X0) @ 0))),
% 0.16/0.66 inference('cnf', [status(esa)], [clause_34])).
% 0.16/0.66 thf(zip_derived_cl58, plain,
% 0.16/0.66 (![X0 : $i]:
% 0.16/0.66 ( (E @ (s @ 0) @ (f @ (suc @ X0)))
% 0.16/0.66 | (E @ 0 @ (f @ X0))
% 0.16/0.66 | (LE @ (f @ X0) @ 0))),
% 0.16/0.66 inference('s_sup-', [status(thm)], [zip_derived_cl57, zip_derived_cl7])).
% 0.16/0.66 thf(zip_derived_cl127, plain,
% 0.16/0.66 (![X0 : $i]:
% 0.16/0.66 (~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 0.16/0.66 | (E @ 0 @ (f @ X0))
% 0.16/0.66 | (LE @ (f @ X0) @ 0))),
% 0.16/0.66 inference('clc', [status(thm)], [zip_derived_cl108, zip_derived_cl58])).
% 0.16/0.66 thf(zip_derived_cl128, plain,
% 0.16/0.66 (![X0 : $i]:
% 0.16/0.66 ( (LE @ (f @ X0) @ (s @ 0))
% 0.16/0.66 | (E @ 0 @ (f @ X0))
% 0.16/0.66 | (LE @ (f @ X0) @ 0))),
% 0.16/0.66 inference('s_sup-', [status(thm)], [zip_derived_cl52, zip_derived_cl127])).
% 0.16/0.66 thf(zip_derived_cl7, plain,
% 0.16/0.66 (![X0 : $i]:
% 0.16/0.66 (~ (LE @ (f @ X0) @ (s @ 0))
% 0.16/0.66 | (E @ 0 @ (f @ X0))
% 0.16/0.66 | (LE @ (f @ X0) @ 0))),
% 0.16/0.66 inference('cnf', [status(esa)], [clause_34])).
% 0.16/0.66 thf(zip_derived_cl157, plain,
% 0.16/0.66 (![X0 : $i]: ( (LE @ (f @ X0) @ 0) | (E @ 0 @ (f @ X0)))),
% 0.16/0.66 inference('clc', [status(thm)], [zip_derived_cl128, zip_derived_cl7])).
% 0.16/0.66 thf(zip_derived_cl14, plain, (~ (LE @ (f @ z) @ 0)),
% 0.16/0.66 inference('cnf', [status(esa)], [clause_24])).
% 0.16/0.66 thf(zip_derived_cl158, plain, ( (E @ 0 @ (f @ z))),
% 0.16/0.66 inference('s_sup-', [status(thm)], [zip_derived_cl157, zip_derived_cl14])).
% 0.16/0.66 thf(zip_derived_cl17, plain,
% 0.16/0.66 (![X0 : $i]:
% 0.16/0.66 (~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 0.16/0.66 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 0.16/0.66 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.16/0.66 | ~ (E @ (s @ 0) @ (f @ X0))
% 0.16/0.66 | (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 0.16/0.66 inference('cnf', [status(esa)], [clause_5])).
% 0.16/0.66 thf(clause_43, axiom,
% 0.16/0.66 (( ~( E @ 0 @ ( f @ ( suc @ A_2 ) ) ) ) |
% 0.16/0.66 ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ B_6 ) ) ) ) ) |
% 0.16/0.66 ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ A_2 ) ) ) ) ) |
% 0.16/0.66 ( ~( E @ 0 @ ( f @ A_2 ) ) ) |
% 0.16/0.66 ( ~( iLEQ @ ( suc @ A_2 ) @ ( suc @ B_6 ) ) ) |
% 0.16/0.66 ( ~( E @ 0 @ ( f @ B_6 ) ) ) |
% 0.16/0.66 ( ~( E @ ( f @ A_2 ) @ ( f @ ( suc @ A_2 ) ) ) ) |
% 0.16/0.66 ( ~( E @ ( f @ B_6 ) @ ( f @ ( suc @ B_6 ) ) ) ) |
% 0.16/0.66 ( ~( E @ 0 @ ( f @ ( suc @ B_6 ) ) ) ))).
% 0.16/0.66 thf(zip_derived_cl11, plain,
% 0.16/0.66 (![X0 : $i, X1 : $i]:
% 0.16/0.66 (~ (E @ 0 @ (f @ (suc @ X0)))
% 0.16/0.66 | ~ (E @ 0 @ (f @ (suc @ (suc @ X1))))
% 0.16/0.66 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 0.16/0.66 | ~ (E @ 0 @ (f @ X0))
% 0.16/0.66 | ~ (iLEQ @ (suc @ X0) @ (suc @ X1))
% 0.16/0.66 | ~ (E @ 0 @ (f @ X1))
% 0.16/0.66 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.16/0.66 | ~ (E @ (f @ X1) @ (f @ (suc @ X1)))
% 0.16/0.66 | ~ (E @ 0 @ (f @ (suc @ X1))))),
% 0.16/0.66 inference('cnf', [status(esa)], [clause_43])).
% 0.16/0.66 thf(zip_derived_cl48, plain,
% 0.16/0.66 (![X0 : $i]:
% 0.16/0.66 (~ (E @ (s @ 0) @ (f @ X0))
% 0.16/0.66 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.16/0.66 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 0.16/0.66 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 0.16/0.66 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.16/0.66 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.16/0.66 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.16/0.66 | ~ (E @ 0 @ (f @ X0))
% 0.16/0.66 | ~ (E @ 0 @ (f @ X0))
% 0.16/0.66 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 0.16/0.66 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 0.16/0.66 | ~ (E @ 0 @ (f @ (suc @ X0))))),
% 0.16/0.66 inference('dp-resolution', [status(thm)],
% 0.16/0.66 [zip_derived_cl17, zip_derived_cl11])).
% 0.16/0.66 thf(zip_derived_cl98, plain,
% 0.16/0.66 (![X0 : $i]:
% 0.16/0.66 (~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 0.16/0.66 | ~ (E @ 0 @ (f @ X0))
% 0.16/0.66 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.16/0.66 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 0.16/0.66 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 0.16/0.66 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.16/0.66 | ~ (E @ (s @ 0) @ (f @ X0)))),
% 0.16/0.66 inference('simplify', [status(thm)], [zip_derived_cl48])).
% 0.16/0.66 thf(clause_41, axiom,
% 0.16/0.66 (( ~( E @ 0 @ ( f @ ( suc @ ( suc @ A_2 ) ) ) ) ) |
% 0.16/0.66 ( ~( E @ 0 @ ( f @ ( suc @ A_2 ) ) ) ) |
% 0.16/0.66 ( ~( E @ ( f @ A_2 ) @ ( f @ ( suc @ A_2 ) ) ) ) |
% 0.16/0.66 ( ~( E @ 0 @ ( f @ A_2 ) ) ) | ( iLEQ @ ( suc @ A_2 ) @ ( suc @ A_2 ) ))).
% 0.16/0.66 thf(zip_derived_cl8, plain,
% 0.16/0.66 (![X0 : $i]:
% 0.16/0.66 (~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 0.16/0.66 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.16/0.66 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.16/0.66 | ~ (E @ 0 @ (f @ X0))
% 0.16/0.66 | (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 0.16/0.66 inference('cnf', [status(esa)], [clause_41])).
% 0.16/0.66 thf(zip_derived_cl11, plain,
% 0.16/0.66 (![X0 : $i, X1 : $i]:
% 0.16/0.66 (~ (E @ 0 @ (f @ (suc @ X0)))
% 0.16/0.66 | ~ (E @ 0 @ (f @ (suc @ (suc @ X1))))
% 0.16/0.66 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 0.16/0.66 | ~ (E @ 0 @ (f @ X0))
% 0.16/0.66 | ~ (iLEQ @ (suc @ X0) @ (suc @ X1))
% 0.16/0.66 | ~ (E @ 0 @ (f @ X1))
% 0.16/0.66 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.16/0.66 | ~ (E @ (f @ X1) @ (f @ (suc @ X1)))
% 0.16/0.66 | ~ (E @ 0 @ (f @ (suc @ X1))))),
% 0.16/0.66 inference('cnf', [status(esa)], [clause_43])).
% 0.16/0.66 thf(zip_derived_cl32, plain,
% 0.16/0.66 (![X0 : $i]:
% 0.16/0.66 (~ (E @ 0 @ (f @ X0))
% 0.16/0.66 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.16/0.66 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.16/0.66 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 0.16/0.66 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.16/0.66 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.16/0.66 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.16/0.66 | ~ (E @ 0 @ (f @ X0))
% 0.16/0.66 | ~ (E @ 0 @ (f @ X0))
% 0.16/0.66 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 0.16/0.66 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 0.16/0.66 | ~ (E @ 0 @ (f @ (suc @ X0))))),
% 0.16/0.66 inference('dp-resolution', [status(thm)],
% 0.16/0.66 [zip_derived_cl8, zip_derived_cl11])).
% 0.16/0.66 thf(zip_derived_cl61, plain,
% 0.16/0.66 (![X0 : $i]:
% 0.16/0.66 (~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 0.16/0.66 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.16/0.66 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.16/0.66 | ~ (E @ 0 @ (f @ X0)))),
% 0.16/0.66 inference('simplify', [status(thm)], [zip_derived_cl32])).
% 0.16/0.66 thf(zip_derived_cl99, plain,
% 0.16/0.66 (![X0 : $i]:
% 0.16/0.66 (~ (E @ (s @ 0) @ (f @ X0))
% 0.16/0.66 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.16/0.66 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 0.16/0.66 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.16/0.66 | ~ (E @ 0 @ (f @ X0))
% 0.16/0.66 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0)))))),
% 0.16/0.66 inference('clc', [status(thm)], [zip_derived_cl98, zip_derived_cl61])).
% 0.16/0.66 thf(zip_derived_cl61, plain,
% 0.16/0.66 (![X0 : $i]:
% 0.16/0.66 (~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 0.16/0.66 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.16/0.66 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.16/0.66 | ~ (E @ 0 @ (f @ X0)))),
% 0.16/0.66 inference('simplify', [status(thm)], [zip_derived_cl32])).
% 0.16/0.66 thf(zip_derived_cl100, plain,
% 0.16/0.66 (![X0 : $i]:
% 0.16/0.66 (~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 0.16/0.66 | ~ (E @ 0 @ (f @ X0))
% 0.16/0.66 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.16/0.66 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 0.16/0.66 | ~ (E @ (f @ X0) @ (f @ (suc @ X0))))),
% 0.16/0.66 inference('clc', [status(thm)], [zip_derived_cl99, zip_derived_cl61])).
% 0.16/0.66 thf(zip_derived_cl61, plain,
% 0.16/0.66 (![X0 : $i]:
% 0.16/0.66 (~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 0.16/0.66 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.16/0.66 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.16/0.66 | ~ (E @ 0 @ (f @ X0)))),
% 0.16/0.66 inference('simplify', [status(thm)], [zip_derived_cl32])).
% 0.16/0.66 thf(zip_derived_cl101, plain,
% 0.16/0.66 (![X0 : $i]:
% 0.16/0.66 (~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.16/0.66 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.16/0.66 | ~ (E @ 0 @ (f @ X0))
% 0.16/0.66 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0)))))),
% 0.16/0.66 inference('clc', [status(thm)], [zip_derived_cl100, zip_derived_cl61])).
% 0.16/0.66 thf(clause_26, axiom,
% 0.16/0.66 (( ~( E @ 0 @ ( f @ A_2 ) ) ) | ( ~( E @ 0 @ ( f @ ( suc @ A_2 ) ) ) ) |
% 0.16/0.66 ( E @ ( f @ A_2 ) @ ( f @ ( suc @ A_2 ) ) ) |
% 0.16/0.66 ( iLEQ @ ( suc @ A_2 ) @ ( suc @ A_2 ) ))).
% 0.16/0.66 thf(zip_derived_cl10, plain,
% 0.16/0.66 (![X0 : $i]:
% 0.16/0.66 (~ (E @ 0 @ (f @ X0))
% 0.16/0.66 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.16/0.66 | (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.16/0.66 | (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 0.16/0.66 inference('cnf', [status(esa)], [clause_26])).
% 0.16/0.66 thf(clause_10, axiom,
% 0.16/0.66 (( ~( E @ 0 @ ( f @ ( suc @ A_2 ) ) ) ) | ( ~( E @ 0 @ ( f @ A_2 ) ) ) |
% 0.16/0.66 ( ~( iLEQ @ ( suc @ A_2 ) @ ( suc @ B_6 ) ) ) |
% 0.16/0.66 ( ~( E @ 0 @ ( f @ B_6 ) ) ) | ( ~( E @ 0 @ ( f @ ( suc @ B_6 ) ) ) ) |
% 0.16/0.66 ( E @ ( f @ A_2 ) @ ( f @ ( suc @ A_2 ) ) ) |
% 0.16/0.66 ( E @ ( f @ B_6 ) @ ( f @ ( suc @ B_6 ) ) ))).
% 0.16/0.66 thf(zip_derived_cl0, plain,
% 0.16/0.66 (![X0 : $i, X1 : $i]:
% 0.16/0.66 (~ (E @ 0 @ (f @ (suc @ X0)))
% 0.16/0.66 | ~ (E @ 0 @ (f @ X0))
% 0.16/0.66 | ~ (iLEQ @ (suc @ X0) @ (suc @ X1))
% 0.16/0.66 | ~ (E @ 0 @ (f @ X1))
% 0.16/0.66 | ~ (E @ 0 @ (f @ (suc @ X1)))
% 0.16/0.66 | (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.16/0.66 | (E @ (f @ X1) @ (f @ (suc @ X1))))),
% 0.16/0.66 inference('cnf', [status(esa)], [clause_10])).
% 0.16/0.66 thf(zip_derived_cl36, plain,
% 0.16/0.66 (![X0 : $i]:
% 0.16/0.66 ( (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.16/0.66 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.16/0.66 | ~ (E @ 0 @ (f @ X0))
% 0.16/0.66 | (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.16/0.66 | (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.16/0.66 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.16/0.66 | ~ (E @ 0 @ (f @ X0))
% 0.16/0.66 | ~ (E @ 0 @ (f @ X0))
% 0.16/0.66 | ~ (E @ 0 @ (f @ (suc @ X0))))),
% 0.16/0.66 inference('dp-resolution', [status(thm)],
% 0.16/0.66 [zip_derived_cl10, zip_derived_cl0])).
% 0.16/0.66 thf(zip_derived_cl63, plain,
% 0.16/0.66 (![X0 : $i]:
% 0.16/0.66 (~ (E @ 0 @ (f @ X0))
% 0.16/0.66 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.16/0.66 | (E @ (f @ X0) @ (f @ (suc @ X0))))),
% 0.16/0.66 inference('simplify', [status(thm)], [zip_derived_cl36])).
% 0.16/0.66 thf(zip_derived_cl102, plain,
% 0.16/0.66 (![X0 : $i]:
% 0.16/0.66 (~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 0.16/0.66 | ~ (E @ 0 @ (f @ X0))
% 0.16/0.66 | ~ (E @ 0 @ (f @ (suc @ X0))))),
% 0.16/0.66 inference('clc', [status(thm)], [zip_derived_cl101, zip_derived_cl63])).
% 0.16/0.66 thf(zip_derived_cl159, plain,
% 0.16/0.66 ((~ (E @ 0 @ (f @ (suc @ (suc @ z)))) | ~ (E @ 0 @ (f @ (suc @ z))))),
% 0.16/0.66 inference('s_sup-', [status(thm)], [zip_derived_cl158, zip_derived_cl102])).
% 0.16/0.66 thf(zip_derived_cl52, plain,
% 0.16/0.66 (![X0 : $i]:
% 0.16/0.66 ( (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 0.16/0.66 | (LE @ (f @ X0) @ (s @ 0)))),
% 0.16/0.66 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 0.16/0.66 thf(zip_derived_cl53, plain,
% 0.16/0.66 (![X0 : $i]: ( (E @ (s @ 0) @ (f @ X0)) | (LE @ (f @ X0) @ (s @ 0)))),
% 0.16/0.66 inference('demod', [status(thm)], [zip_derived_cl6, zip_derived_cl2])).
% 0.16/0.66 thf(clause_40, axiom,
% 0.16/0.66 (( ~( LE @ ( f @ ( suc @ B_5 ) ) @ ( s @ 0 ) ) ) |
% 0.16/0.66 ( E @ 0 @ ( f @ ( suc @ B_5 ) ) ) | ( LE @ ( f @ B_5 ) @ 0 ))).
% 0.16/0.66 thf(zip_derived_cl12, plain,
% 0.16/0.66 (![X0 : $i]:
% 0.16/0.66 (~ (LE @ (f @ (suc @ X0)) @ (s @ 0))
% 0.16/0.66 | (E @ 0 @ (f @ (suc @ X0)))
% 0.16/0.66 | (LE @ (f @ X0) @ 0))),
% 0.16/0.66 inference('cnf', [status(esa)], [clause_40])).
% 0.16/0.66 thf(zip_derived_cl55, plain,
% 0.16/0.66 (![X0 : $i]:
% 0.16/0.66 ( (E @ (s @ 0) @ (f @ (suc @ X0)))
% 0.16/0.66 | (E @ 0 @ (f @ (suc @ X0)))
% 0.16/0.66 | (LE @ (f @ X0) @ 0))),
% 0.16/0.66 inference('s_sup-', [status(thm)], [zip_derived_cl53, zip_derived_cl12])).
% 0.16/0.66 thf(zip_derived_cl104, plain,
% 0.16/0.66 (![X0 : $i]:
% 0.16/0.66 (~ (E @ (s @ 0) @ (f @ X0))
% 0.16/0.66 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 0.16/0.66 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0)))))),
% 0.16/0.66 inference('clc', [status(thm)], [zip_derived_cl103, zip_derived_cl64])).
% 0.16/0.66 thf(zip_derived_cl109, plain,
% 0.16/0.66 (![X0 : $i]:
% 0.16/0.66 ( (LE @ (f @ X0) @ 0)
% 0.16/0.66 | (E @ 0 @ (f @ (suc @ X0)))
% 0.16/0.66 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 0.16/0.66 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ X0))))))),
% 0.16/0.66 inference('s_sup-', [status(thm)], [zip_derived_cl55, zip_derived_cl104])).
% 0.16/0.66 thf(zip_derived_cl57, plain,
% 0.16/0.66 (![X0 : $i]:
% 0.16/0.66 ( (E @ (s @ 0) @ (f @ (suc @ X0))) | (LE @ (f @ X0) @ (s @ 0)))),
% 0.16/0.66 inference('demod', [status(thm)], [zip_derived_cl15, zip_derived_cl2])).
% 0.16/0.66 thf(zip_derived_cl12, plain,
% 0.16/0.66 (![X0 : $i]:
% 0.16/0.66 (~ (LE @ (f @ (suc @ X0)) @ (s @ 0))
% 0.16/0.66 | (E @ 0 @ (f @ (suc @ X0)))
% 0.16/0.66 | (LE @ (f @ X0) @ 0))),
% 0.16/0.66 inference('cnf', [status(esa)], [clause_40])).
% 0.16/0.66 thf(zip_derived_cl59, plain,
% 0.16/0.66 (![X0 : $i]:
% 0.16/0.66 ( (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 0.16/0.66 | (E @ 0 @ (f @ (suc @ X0)))
% 0.16/0.66 | (LE @ (f @ X0) @ 0))),
% 0.16/0.66 inference('s_sup-', [status(thm)], [zip_derived_cl57, zip_derived_cl12])).
% 0.16/0.66 thf(zip_derived_cl148, plain,
% 0.16/0.66 (![X0 : $i]:
% 0.16/0.66 (~ (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 0.16/0.66 | (E @ 0 @ (f @ (suc @ X0)))
% 0.16/0.66 | (LE @ (f @ X0) @ 0))),
% 0.16/0.66 inference('clc', [status(thm)], [zip_derived_cl109, zip_derived_cl59])).
% 0.16/0.66 thf(zip_derived_cl149, plain,
% 0.16/0.66 (![X0 : $i]:
% 0.16/0.66 ( (LE @ (f @ (suc @ X0)) @ (s @ 0))
% 0.16/0.66 | (E @ 0 @ (f @ (suc @ X0)))
% 0.16/0.66 | (LE @ (f @ X0) @ 0))),
% 0.16/0.66 inference('s_sup-', [status(thm)], [zip_derived_cl52, zip_derived_cl148])).
% 0.16/0.66 thf(zip_derived_cl12, plain,
% 0.16/0.66 (![X0 : $i]:
% 0.16/0.66 (~ (LE @ (f @ (suc @ X0)) @ (s @ 0))
% 0.16/0.66 | (E @ 0 @ (f @ (suc @ X0)))
% 0.16/0.66 | (LE @ (f @ X0) @ 0))),
% 0.16/0.66 inference('cnf', [status(esa)], [clause_40])).
% 0.16/0.66 thf(zip_derived_cl161, plain,
% 0.16/0.66 (![X0 : $i]: ( (LE @ (f @ X0) @ 0) | (E @ 0 @ (f @ (suc @ X0))))),
% 0.16/0.66 inference('clc', [status(thm)], [zip_derived_cl149, zip_derived_cl12])).
% 0.16/0.66 thf(zip_derived_cl14, plain, (~ (LE @ (f @ z) @ 0)),
% 0.16/0.66 inference('cnf', [status(esa)], [clause_24])).
% 0.16/0.66 thf(zip_derived_cl162, plain, ( (E @ 0 @ (f @ (suc @ z)))),
% 0.16/0.66 inference('s_sup-', [status(thm)], [zip_derived_cl161, zip_derived_cl14])).
% 0.16/0.66 thf(zip_derived_cl163, plain, (~ (E @ 0 @ (f @ (suc @ (suc @ z))))),
% 0.16/0.66 inference('demod', [status(thm)], [zip_derived_cl159, zip_derived_cl162])).
% 0.16/0.66 thf(zip_derived_cl174, plain, ( (LE @ (f @ z) @ 0)),
% 0.16/0.66 inference('s_sup-', [status(thm)], [zip_derived_cl172, zip_derived_cl163])).
% 0.16/0.66 thf(zip_derived_cl177, plain, ($false),
% 0.16/0.66 inference('demod', [status(thm)], [zip_derived_cl14, zip_derived_cl174])).
% 0.16/0.66
% 0.16/0.66 % SZS output end Refutation
% 0.16/0.66
% 0.16/0.66
% 0.16/0.66 % Terminating...
% 0.16/0.73 % Runner terminated.
% 0.16/0.75 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------