TSTP Solution File: SYO685-1 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYO685-1 : 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.ji6EJFAfmj true
% Computer : n002.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 05:52:34 EDT 2023
% Result : Unsatisfiable 1.70s 0.95s
% Output : Refutation 1.70s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SYO685-1 : TPTP v8.1.2. Released v7.3.0.
% 0.12/0.15 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.ji6EJFAfmj true
% 0.14/0.36 % Computer : n002.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Sat Aug 26 05:33:02 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
% 0.14/0.37 % Running in FO mode
% 0.22/0.65 % Total configuration time : 435
% 0.22/0.65 % Estimated wc time : 1092
% 0.22/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.71 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.73 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.76 % /export/starexec/sandbox/solver/bin/fo/fo1_av.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
% 0.22/0.78 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.22/0.78 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.45/0.80 % /export/starexec/sandbox/solver/bin/fo/fo1_lcnf.sh running for 50s
% 1.70/0.95 % Solved by fo/fo1_av.sh.
% 1.70/0.95 % done 139 iterations in 0.151s
% 1.70/0.95 % SZS status Unsatisfiable for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.70/0.95 % SZS output start Refutation
% 1.70/0.95 thf(z_type, type, z: $i).
% 1.70/0.95 thf(f_type, type, f: $i > $i).
% 1.70/0.95 thf(0_type, type, 0: $i).
% 1.70/0.95 thf(suc_type, type, suc: $i > $i).
% 1.70/0.95 thf(s_type, type, s: $i > $i).
% 1.70/0.95 thf(E_type, type, E: $i > $i > $o).
% 1.70/0.95 thf(LE_type, type, LE: $i > $i > $o).
% 1.70/0.95 thf(iLEQ_type, type, iLEQ: $i > $i > $o).
% 1.70/0.95 thf(clause_96, axiom, (~( LE @ ( f @ z ) @ 0 ))).
% 1.70/0.95 thf(zip_derived_cl19, plain, (~ (LE @ (f @ z) @ 0)),
% 1.70/0.95 inference('cnf', [status(esa)], [clause_96])).
% 1.70/0.95 thf(clause_11, axiom,
% 1.70/0.95 (( ~( LE @ ( f @ ( suc @ ( suc @ B_23 ) ) ) @ ( s @ 0 ) ) ) |
% 1.70/0.95 ( E @ 0 @ ( f @ ( suc @ ( suc @ B_23 ) ) ) ) | ( LE @ ( f @ B_23 ) @ 0 ))).
% 1.70/0.95 thf(zip_derived_cl40, plain,
% 1.70/0.95 (![X0 : $i]:
% 1.70/0.95 (~ (LE @ (f @ (suc @ (suc @ X0))) @ (s @ 0))
% 1.70/0.95 | (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 1.70/0.95 | (LE @ (f @ X0) @ 0))),
% 1.70/0.95 inference('cnf', [status(esa)], [clause_11])).
% 1.70/0.95 thf(clause_116, axiom,
% 1.70/0.95 (( ~( LE @ ( f @ ( suc @ ( suc @ B_20 ) ) ) @ ( s @ ( s @ 0 ) ) ) ) |
% 1.70/0.95 ( E @ ( s @ 0 ) @ ( f @ ( suc @ ( suc @ B_20 ) ) ) ) |
% 1.70/0.95 ( LE @ ( f @ B_20 ) @ ( s @ 0 ) ))).
% 1.70/0.95 thf(zip_derived_cl33, plain,
% 1.70/0.95 (![X0 : $i]:
% 1.70/0.95 (~ (LE @ (f @ (suc @ (suc @ X0))) @ (s @ (s @ 0)))
% 1.70/0.95 | (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 1.70/0.95 | (LE @ (f @ X0) @ (s @ 0)))),
% 1.70/0.95 inference('cnf', [status(esa)], [clause_116])).
% 1.70/0.95 thf(clause_97, axiom,
% 1.70/0.95 (( ~( LE @ ( f @ ( suc @ ( suc @ B_16 ) ) ) @ ( s @ ( s @ ( s @ 0 ) ) ) ) ) |
% 1.70/0.95 ( E @ ( s @ ( s @ 0 ) ) @ ( f @ ( suc @ ( suc @ B_16 ) ) ) ) |
% 1.70/0.95 ( LE @ ( f @ B_16 ) @ ( s @ ( s @ 0 ) ) ))).
% 1.70/0.95 thf(zip_derived_cl7, plain,
% 1.70/0.95 (![X0 : $i]:
% 1.70/0.95 (~ (LE @ (f @ (suc @ (suc @ X0))) @ (s @ (s @ (s @ 0))))
% 1.70/0.95 | (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ X0))))
% 1.70/0.95 | (LE @ (f @ X0) @ (s @ (s @ 0))))),
% 1.70/0.95 inference('cnf', [status(esa)], [clause_97])).
% 1.70/0.95 thf(clause_52, axiom,
% 1.70/0.95 (( ~( LE @
% 1.70/0.95 ( f @ ( suc @ ( suc @ B_11 ) ) ) @ ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) ) ) |
% 1.70/0.95 ( E @ ( s @ ( s @ ( s @ 0 ) ) ) @ ( f @ ( suc @ ( suc @ B_11 ) ) ) ) |
% 1.70/0.95 ( LE @ ( f @ B_11 ) @ ( s @ ( s @ ( s @ 0 ) ) ) ))).
% 1.70/0.95 thf(zip_derived_cl22, plain,
% 1.70/0.95 (![X0 : $i]:
% 1.70/0.95 (~ (LE @ (f @ (suc @ (suc @ X0))) @ (s @ (s @ (s @ (s @ 0)))))
% 1.70/0.95 | (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ (suc @ X0))))
% 1.70/0.95 | (LE @ (f @ X0) @ (s @ (s @ (s @ 0)))))),
% 1.70/0.95 inference('cnf', [status(esa)], [clause_52])).
% 1.70/0.95 thf(clause_191, axiom,
% 1.70/0.95 (( ~( LE @
% 1.70/0.95 ( f @ ( suc @ B_5 ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) ) ) ) |
% 1.70/0.95 ( E @ ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) @ ( f @ ( suc @ B_5 ) ) ) |
% 1.70/0.95 ( LE @ ( f @ B_5 ) @ ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) ))).
% 1.70/0.95 thf(zip_derived_cl14, plain,
% 1.70/0.95 (![X0 : $i]:
% 1.70/0.95 (~ (LE @ (f @ (suc @ X0)) @ (s @ (s @ (s @ (s @ (s @ 0))))))
% 1.70/0.95 | (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ (suc @ X0)))
% 1.70/0.95 | (LE @ (f @ X0) @ (s @ (s @ (s @ (s @ 0))))))),
% 1.70/0.95 inference('cnf', [status(esa)], [clause_191])).
% 1.70/0.95 thf(clause_53, axiom,
% 1.70/0.95 (LE @ ( f @ A ) @ ( s @ ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) ))).
% 1.70/0.95 thf(zip_derived_cl44, plain,
% 1.70/0.95 (![X0 : $i]: (LE @ (f @ X0) @ (s @ (s @ (s @ (s @ (s @ 0))))))),
% 1.70/0.95 inference('cnf', [status(esa)], [clause_53])).
% 1.70/0.95 thf(zip_derived_cl57, plain,
% 1.70/0.95 (![X0 : $i]:
% 1.70/0.95 ( (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ (suc @ X0)))
% 1.70/0.95 | (LE @ (f @ X0) @ (s @ (s @ (s @ (s @ 0))))))),
% 1.70/0.95 inference('demod', [status(thm)], [zip_derived_cl14, zip_derived_cl44])).
% 1.70/0.95 thf(clause_130, axiom,
% 1.70/0.95 (( ~( E @ ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) @ ( f @ A_1 ) ) ) |
% 1.70/0.95 ( ~( E @ ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) @ ( f @ ( suc @ A_1 ) ) ) ) |
% 1.70/0.95 ( E @ ( f @ A_1 ) @ ( f @ ( suc @ A_1 ) ) ) |
% 1.70/0.95 ( iLEQ @ ( suc @ A_1 ) @ ( suc @ A_1 ) ))).
% 1.70/0.95 thf(zip_derived_cl1, plain,
% 1.70/0.95 (![X0 : $i]:
% 1.70/0.95 (~ (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ X0))
% 1.70/0.95 | ~ (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ (suc @ X0)))
% 1.70/0.95 | (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.70/0.95 | (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 1.70/0.95 inference('cnf', [status(esa)], [clause_130])).
% 1.70/0.95 thf(clause_34, axiom,
% 1.70/0.95 (( ~( E @ ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) @ ( f @ B_6 ) ) ) |
% 1.70/0.95 ( ~( iLEQ @ ( suc @ A_1 ) @ ( suc @ B_6 ) ) ) |
% 1.70/0.95 ( ~( E @ ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) @ ( f @ ( suc @ B_6 ) ) ) ) |
% 1.70/0.95 ( ~( E @ ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) @ ( f @ ( suc @ A_1 ) ) ) ) |
% 1.70/0.95 ( ~( E @ ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) @ ( f @ A_1 ) ) ) |
% 1.70/0.95 ( E @ ( f @ A_1 ) @ ( f @ ( suc @ A_1 ) ) ) |
% 1.70/0.95 ( E @ ( f @ B_6 ) @ ( f @ ( suc @ B_6 ) ) ))).
% 1.70/0.95 thf(zip_derived_cl36, plain,
% 1.70/0.95 (![X0 : $i, X1 : $i]:
% 1.70/0.95 (~ (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ X0))
% 1.70/0.95 | ~ (iLEQ @ (suc @ X1) @ (suc @ X0))
% 1.70/0.95 | ~ (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ (suc @ X0)))
% 1.70/0.95 | ~ (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ (suc @ X1)))
% 1.70/0.95 | ~ (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ X1))
% 1.70/0.95 | (E @ (f @ X1) @ (f @ (suc @ X1)))
% 1.70/0.95 | (E @ (f @ X0) @ (f @ (suc @ X0))))),
% 1.70/0.95 inference('cnf', [status(esa)], [clause_34])).
% 1.70/0.95 thf(zip_derived_cl328, plain,
% 1.70/0.95 (![X0 : $i]:
% 1.70/0.95 ( (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.70/0.95 | ~ (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ (suc @ X0)))
% 1.70/0.95 | ~ (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ X0))
% 1.70/0.95 | ~ (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ X0))
% 1.70/0.95 | ~ (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ (suc @ X0)))
% 1.70/0.95 | ~ (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ (suc @ X0)))
% 1.70/0.95 | ~ (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ X0))
% 1.70/0.95 | (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.70/0.95 | (E @ (f @ X0) @ (f @ (suc @ X0))))),
% 1.70/0.95 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl36])).
% 1.70/0.95 thf(zip_derived_cl331, plain,
% 1.70/0.95 (![X0 : $i]:
% 1.70/0.95 (~ (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ X0))
% 1.70/0.95 | ~ (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ (suc @ X0)))
% 1.70/0.95 | (E @ (f @ X0) @ (f @ (suc @ X0))))),
% 1.70/0.95 inference('simplify', [status(thm)], [zip_derived_cl328])).
% 1.70/0.95 thf(zip_derived_cl335, plain,
% 1.70/0.95 (![X0 : $i]:
% 1.70/0.95 ( (LE @ (f @ X0) @ (s @ (s @ (s @ (s @ 0)))))
% 1.70/0.95 | ~ (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ X0))
% 1.70/0.95 | (E @ (f @ X0) @ (f @ (suc @ X0))))),
% 1.70/0.95 inference('s_sup-', [status(thm)], [zip_derived_cl57, zip_derived_cl331])).
% 1.70/0.95 thf(clause_113, axiom,
% 1.70/0.95 (( ~( LE @ ( f @ B_5 ) @ ( s @ ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) ) ) ) |
% 1.70/0.95 ( E @ ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) @ ( f @ B_5 ) ) |
% 1.70/0.95 ( LE @ ( f @ B_5 ) @ ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) ))).
% 1.70/0.95 thf(zip_derived_cl34, plain,
% 1.70/0.95 (![X0 : $i]:
% 1.70/0.95 (~ (LE @ (f @ X0) @ (s @ (s @ (s @ (s @ (s @ 0))))))
% 1.70/0.95 | (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ X0))
% 1.70/0.95 | (LE @ (f @ X0) @ (s @ (s @ (s @ (s @ 0))))))),
% 1.70/0.95 inference('cnf', [status(esa)], [clause_113])).
% 1.70/0.95 thf(zip_derived_cl44, plain,
% 1.70/0.95 (![X0 : $i]: (LE @ (f @ X0) @ (s @ (s @ (s @ (s @ (s @ 0))))))),
% 1.70/0.95 inference('cnf', [status(esa)], [clause_53])).
% 1.70/0.95 thf(zip_derived_cl50, plain,
% 1.70/0.95 (![X0 : $i]:
% 1.70/0.95 ( (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ X0))
% 1.70/0.95 | (LE @ (f @ X0) @ (s @ (s @ (s @ (s @ 0))))))),
% 1.70/0.95 inference('demod', [status(thm)], [zip_derived_cl34, zip_derived_cl44])).
% 1.70/0.95 thf(zip_derived_cl338, plain,
% 1.70/0.95 (![X0 : $i]:
% 1.70/0.95 ( (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.70/0.95 | (LE @ (f @ X0) @ (s @ (s @ (s @ (s @ 0))))))),
% 1.70/0.95 inference('clc', [status(thm)], [zip_derived_cl335, zip_derived_cl50])).
% 1.70/0.95 thf(clause_93, axiom,
% 1.70/0.95 (( ~( LE @
% 1.70/0.95 ( f @ ( suc @ ( suc @ B_5 ) ) ) @
% 1.70/0.95 ( s @ ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) ) ) ) |
% 1.70/0.95 ( E @ ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) @ ( f @ ( suc @ ( suc @ B_5 ) ) ) ) |
% 1.70/0.95 ( LE @ ( f @ B_5 ) @ ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) ))).
% 1.70/0.95 thf(zip_derived_cl15, plain,
% 1.70/0.95 (![X0 : $i]:
% 1.70/0.95 (~ (LE @ (f @ (suc @ (suc @ X0))) @ (s @ (s @ (s @ (s @ (s @ 0))))))
% 1.70/0.95 | (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ (suc @ (suc @ X0))))
% 1.70/0.95 | (LE @ (f @ X0) @ (s @ (s @ (s @ (s @ 0))))))),
% 1.70/0.95 inference('cnf', [status(esa)], [clause_93])).
% 1.70/0.95 thf(zip_derived_cl44, plain,
% 1.70/0.95 (![X0 : $i]: (LE @ (f @ X0) @ (s @ (s @ (s @ (s @ (s @ 0))))))),
% 1.70/0.95 inference('cnf', [status(esa)], [clause_53])).
% 1.70/0.95 thf(zip_derived_cl81, plain,
% 1.70/0.95 (![X0 : $i]:
% 1.70/0.95 ( (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ (suc @ (suc @ X0))))
% 1.70/0.95 | (LE @ (f @ X0) @ (s @ (s @ (s @ (s @ 0))))))),
% 1.70/0.95 inference('demod', [status(thm)], [zip_derived_cl15, zip_derived_cl44])).
% 1.70/0.95 thf(clause_183, axiom,
% 1.70/0.95 (( ~( E @ ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) @ ( f @ B_6 ) ) ) |
% 1.70/0.95 ( ~( iLEQ @ ( suc @ A_1 ) @ ( suc @ B_6 ) ) ) |
% 1.70/0.95 ( ~( E @
% 1.70/0.95 ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) @ ( f @ ( suc @ ( suc @ B_6 ) ) ) ) ) |
% 1.70/0.95 ( ~( E @ ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) @ ( f @ ( suc @ B_6 ) ) ) ) |
% 1.70/0.95 ( ~( E @
% 1.70/0.95 ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) @ ( f @ ( suc @ ( suc @ A_1 ) ) ) ) ) |
% 1.70/0.95 ( ~( E @ ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) @ ( f @ ( suc @ A_1 ) ) ) ) |
% 1.70/0.95 ( ~( E @ ( f @ A_1 ) @ ( f @ ( suc @ A_1 ) ) ) ) |
% 1.70/0.95 ( ~( E @ ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) @ ( f @ A_1 ) ) ) |
% 1.70/0.95 ( ~( E @ ( f @ B_6 ) @ ( f @ ( suc @ B_6 ) ) ) ))).
% 1.70/0.95 thf(zip_derived_cl45, plain,
% 1.70/0.95 (![X0 : $i, X1 : $i]:
% 1.70/0.95 (~ (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ X0))
% 1.70/0.95 | ~ (iLEQ @ (suc @ X1) @ (suc @ X0))
% 1.70/0.95 | ~ (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ (suc @ (suc @ X0))))
% 1.70/0.95 | ~ (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ (suc @ X0)))
% 1.70/0.95 | ~ (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ (suc @ (suc @ X1))))
% 1.70/0.95 | ~ (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ (suc @ X1)))
% 1.70/0.95 | ~ (E @ (f @ X1) @ (f @ (suc @ X1)))
% 1.70/0.95 | ~ (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ X1))
% 1.70/0.95 | ~ (E @ (f @ X0) @ (f @ (suc @ X0))))),
% 1.70/0.95 inference('cnf', [status(esa)], [clause_183])).
% 1.70/0.95 thf(zip_derived_cl279, plain,
% 1.70/0.95 (![X0 : $i]:
% 1.70/0.95 (~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.70/0.95 | ~ (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ X0))
% 1.70/0.95 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.70/0.95 | ~ (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ (suc @ X0)))
% 1.70/0.95 | ~ (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ (suc @ (suc @ X0))))
% 1.70/0.95 | ~ (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ (suc @ X0)))
% 1.70/0.95 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 1.70/0.95 | ~ (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ X0)))),
% 1.70/0.95 inference('eq_fact', [status(thm)], [zip_derived_cl45])).
% 1.70/0.95 thf(zip_derived_cl280, plain,
% 1.70/0.95 (![X0 : $i]:
% 1.70/0.95 (~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 1.70/0.95 | ~ (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ (suc @ (suc @ X0))))
% 1.70/0.95 | ~ (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ (suc @ X0)))
% 1.70/0.95 | ~ (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ X0))
% 1.70/0.95 | ~ (E @ (f @ X0) @ (f @ (suc @ X0))))),
% 1.70/0.95 inference('simplify', [status(thm)], [zip_derived_cl279])).
% 1.70/0.95 thf(clause_79, axiom,
% 1.70/0.95 (( ~( E @
% 1.70/0.95 ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) @ ( f @ ( suc @ ( suc @ A_1 ) ) ) ) ) |
% 1.70/0.95 ( ~( E @ ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) @ ( f @ ( suc @ A_1 ) ) ) ) |
% 1.70/0.95 ( ~( E @ ( f @ A_1 ) @ ( f @ ( suc @ A_1 ) ) ) ) |
% 1.70/0.95 ( ~( E @ ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) @ ( f @ A_1 ) ) ) |
% 1.70/0.95 ( iLEQ @ ( suc @ A_1 ) @ ( suc @ A_1 ) ))).
% 1.70/0.95 thf(zip_derived_cl10, plain,
% 1.70/0.95 (![X0 : $i]:
% 1.70/0.95 (~ (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ (suc @ (suc @ X0))))
% 1.70/0.95 | ~ (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ (suc @ X0)))
% 1.70/0.95 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.70/0.95 | ~ (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ X0))
% 1.70/0.95 | (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 1.70/0.95 inference('cnf', [status(esa)], [clause_79])).
% 1.70/0.95 thf(zip_derived_cl1, plain,
% 1.70/0.95 (![X0 : $i]:
% 1.70/0.95 (~ (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ X0))
% 1.70/0.95 | ~ (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ (suc @ X0)))
% 1.70/0.95 | (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.70/0.95 | (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 1.70/0.95 inference('cnf', [status(esa)], [clause_130])).
% 1.70/0.95 thf(zip_derived_cl135, plain,
% 1.70/0.95 (![X0 : $i]:
% 1.70/0.95 ( (iLEQ @ (suc @ X0) @ (suc @ X0))
% 1.70/0.95 | ~ (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ X0))
% 1.70/0.95 | ~ (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ (suc @ X0)))
% 1.70/0.95 | ~ (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ (suc @ (suc @ X0)))))),
% 1.70/0.95 inference('clc', [status(thm)], [zip_derived_cl10, zip_derived_cl1])).
% 1.70/0.95 thf(zip_derived_cl281, plain,
% 1.70/0.95 (![X0 : $i]:
% 1.70/0.95 (~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.70/0.95 | ~ (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ X0))
% 1.70/0.95 | ~ (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ (suc @ X0)))
% 1.70/0.95 | ~ (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ (suc @ (suc @ X0)))))),
% 1.70/0.95 inference('clc', [status(thm)], [zip_derived_cl280, zip_derived_cl135])).
% 1.70/0.95 thf(zip_derived_cl285, plain,
% 1.70/0.95 (![X0 : $i]:
% 1.70/0.95 ( (LE @ (f @ X0) @ (s @ (s @ (s @ (s @ 0)))))
% 1.70/0.95 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.70/0.95 | ~ (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ X0))
% 1.70/0.95 | ~ (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ (suc @ X0))))),
% 1.70/0.95 inference('s_sup-', [status(thm)], [zip_derived_cl81, zip_derived_cl281])).
% 1.70/0.95 thf(zip_derived_cl50, plain,
% 1.70/0.95 (![X0 : $i]:
% 1.70/0.95 ( (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ X0))
% 1.70/0.95 | (LE @ (f @ X0) @ (s @ (s @ (s @ (s @ 0))))))),
% 1.70/0.95 inference('demod', [status(thm)], [zip_derived_cl34, zip_derived_cl44])).
% 1.70/0.95 thf(zip_derived_cl286, plain,
% 1.70/0.95 (![X0 : $i]:
% 1.70/0.95 (~ (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ (suc @ X0)))
% 1.70/0.95 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.70/0.95 | (LE @ (f @ X0) @ (s @ (s @ (s @ (s @ 0))))))),
% 1.70/0.95 inference('clc', [status(thm)], [zip_derived_cl285, zip_derived_cl50])).
% 1.70/0.95 thf(zip_derived_cl57, plain,
% 1.70/0.95 (![X0 : $i]:
% 1.70/0.95 ( (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ (suc @ X0)))
% 1.70/0.95 | (LE @ (f @ X0) @ (s @ (s @ (s @ (s @ 0))))))),
% 1.70/0.95 inference('demod', [status(thm)], [zip_derived_cl14, zip_derived_cl44])).
% 1.70/0.95 thf(zip_derived_cl287, plain,
% 1.70/0.95 (![X0 : $i]:
% 1.70/0.95 ( (LE @ (f @ X0) @ (s @ (s @ (s @ (s @ 0)))))
% 1.70/0.95 | ~ (E @ (f @ X0) @ (f @ (suc @ X0))))),
% 1.70/0.95 inference('clc', [status(thm)], [zip_derived_cl286, zip_derived_cl57])).
% 1.70/0.95 thf(zip_derived_cl339, plain,
% 1.70/0.95 (![X0 : $i]: (LE @ (f @ X0) @ (s @ (s @ (s @ (s @ 0)))))),
% 1.70/0.95 inference('clc', [status(thm)], [zip_derived_cl338, zip_derived_cl287])).
% 1.70/0.95 thf(zip_derived_cl341, plain,
% 1.70/0.95 (![X0 : $i]:
% 1.70/0.95 ( (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ (suc @ X0))))
% 1.70/0.95 | (LE @ (f @ X0) @ (s @ (s @ (s @ 0)))))),
% 1.70/0.95 inference('demod', [status(thm)], [zip_derived_cl22, zip_derived_cl339])).
% 1.70/0.95 thf(clause_73, axiom,
% 1.70/0.95 (( ~( iLEQ @ ( suc @ A_2 ) @ ( suc @ B_12 ) ) ) |
% 1.70/0.95 ( ~( E @ ( s @ ( s @ ( s @ 0 ) ) ) @ ( f @ ( suc @ A_2 ) ) ) ) |
% 1.70/0.95 ( ~( E @ ( s @ ( s @ ( s @ 0 ) ) ) @ ( f @ B_12 ) ) ) |
% 1.70/0.95 ( ~( E @ ( s @ ( s @ ( s @ 0 ) ) ) @ ( f @ A_2 ) ) ) |
% 1.70/0.95 ( ~( E @ ( f @ B_12 ) @ ( f @ ( suc @ B_12 ) ) ) ) |
% 1.70/0.95 ( ~( E @ ( s @ ( s @ ( s @ 0 ) ) ) @ ( f @ ( suc @ B_12 ) ) ) ) |
% 1.70/0.95 ( ~( E @ ( s @ ( s @ ( s @ 0 ) ) ) @ ( f @ ( suc @ ( suc @ B_12 ) ) ) ) ) |
% 1.70/0.95 ( ~( E @ ( s @ ( s @ ( s @ 0 ) ) ) @ ( f @ ( suc @ ( suc @ A_2 ) ) ) ) ) |
% 1.70/0.95 ( ~( E @ ( f @ A_2 ) @ ( f @ ( suc @ A_2 ) ) ) ))).
% 1.70/0.95 thf(zip_derived_cl42, plain,
% 1.70/0.95 (![X0 : $i, X1 : $i]:
% 1.70/0.95 (~ (iLEQ @ (suc @ X0) @ (suc @ X1))
% 1.70/0.95 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ X0)))
% 1.70/0.95 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ X1))
% 1.70/0.95 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ X0))
% 1.70/0.95 | ~ (E @ (f @ X1) @ (f @ (suc @ X1)))
% 1.70/0.95 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ X1)))
% 1.70/0.95 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ (suc @ X1))))
% 1.70/0.95 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ (suc @ X0))))
% 1.70/0.95 | ~ (E @ (f @ X0) @ (f @ (suc @ X0))))),
% 1.70/0.95 inference('cnf', [status(esa)], [clause_73])).
% 1.70/0.95 thf(zip_derived_cl251, plain,
% 1.70/0.95 (![X0 : $i]:
% 1.70/0.95 (~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.70/0.95 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ (suc @ X0))))
% 1.70/0.95 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ X0)))
% 1.70/0.95 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.70/0.95 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ X0))
% 1.70/0.95 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ X0))
% 1.70/0.95 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ X0)))
% 1.70/0.95 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 1.70/0.95 inference('eq_fact', [status(thm)], [zip_derived_cl42])).
% 1.70/0.95 thf(zip_derived_cl252, plain,
% 1.70/0.95 (![X0 : $i]:
% 1.70/0.95 (~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 1.70/0.95 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ X0))
% 1.70/0.95 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ X0)))
% 1.70/0.95 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ (suc @ X0))))
% 1.70/0.95 | ~ (E @ (f @ X0) @ (f @ (suc @ X0))))),
% 1.70/0.95 inference('simplify', [status(thm)], [zip_derived_cl251])).
% 1.70/0.95 thf(clause_190, axiom,
% 1.70/0.95 (( ~( E @ ( s @ ( s @ ( s @ 0 ) ) ) @ ( f @ ( suc @ ( suc @ A_2 ) ) ) ) ) |
% 1.70/0.95 ( ~( E @ ( s @ ( s @ ( s @ 0 ) ) ) @ ( f @ ( suc @ A_2 ) ) ) ) |
% 1.70/0.95 ( ~( E @ ( f @ A_2 ) @ ( f @ ( suc @ A_2 ) ) ) ) |
% 1.70/0.95 ( ~( E @ ( s @ ( s @ ( s @ 0 ) ) ) @ ( f @ A_2 ) ) ) |
% 1.70/0.95 ( iLEQ @ ( suc @ A_2 ) @ ( suc @ A_2 ) ))).
% 1.70/0.95 thf(zip_derived_cl9, plain,
% 1.70/0.95 (![X0 : $i]:
% 1.70/0.95 (~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ (suc @ X0))))
% 1.70/0.95 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ X0)))
% 1.70/0.95 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.70/0.95 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ X0))
% 1.70/0.95 | (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 1.70/0.95 inference('cnf', [status(esa)], [clause_190])).
% 1.70/0.95 thf(clause_28, axiom,
% 1.70/0.95 (( ~( E @ ( s @ ( s @ ( s @ 0 ) ) ) @ ( f @ A_2 ) ) ) |
% 1.70/0.95 ( ~( E @ ( s @ ( s @ ( s @ 0 ) ) ) @ ( f @ ( suc @ A_2 ) ) ) ) |
% 1.70/0.95 ( E @ ( f @ A_2 ) @ ( f @ ( suc @ A_2 ) ) ) |
% 1.70/0.95 ( iLEQ @ ( suc @ A_2 ) @ ( suc @ A_2 ) ))).
% 1.70/0.95 thf(zip_derived_cl6, plain,
% 1.70/0.95 (![X0 : $i]:
% 1.70/0.95 (~ (E @ (s @ (s @ (s @ 0))) @ (f @ X0))
% 1.70/0.95 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ X0)))
% 1.70/0.95 | (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.70/0.95 | (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 1.70/0.95 inference('cnf', [status(esa)], [clause_28])).
% 1.70/0.95 thf(zip_derived_cl122, plain,
% 1.70/0.95 (![X0 : $i]:
% 1.70/0.95 ( (iLEQ @ (suc @ X0) @ (suc @ X0))
% 1.70/0.95 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ X0))
% 1.70/0.95 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ X0)))
% 1.70/0.95 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ (suc @ X0)))))),
% 1.70/0.95 inference('clc', [status(thm)], [zip_derived_cl9, zip_derived_cl6])).
% 1.70/0.95 thf(zip_derived_cl253, plain,
% 1.70/0.95 (![X0 : $i]:
% 1.70/0.95 (~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.70/0.95 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ (suc @ X0))))
% 1.70/0.95 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ X0)))
% 1.70/0.95 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ X0)))),
% 1.70/0.95 inference('clc', [status(thm)], [zip_derived_cl252, zip_derived_cl122])).
% 1.70/0.95 thf(zip_derived_cl6, plain,
% 1.70/0.95 (![X0 : $i]:
% 1.70/0.95 (~ (E @ (s @ (s @ (s @ 0))) @ (f @ X0))
% 1.70/0.95 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ X0)))
% 1.70/0.95 | (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.70/0.95 | (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 1.70/0.95 inference('cnf', [status(esa)], [clause_28])).
% 1.70/0.95 thf(clause_49, axiom,
% 1.70/0.95 (( ~( iLEQ @ ( suc @ A_2 ) @ ( suc @ B_12 ) ) ) |
% 1.70/0.95 ( ~( E @ ( s @ ( s @ ( s @ 0 ) ) ) @ ( f @ ( suc @ A_2 ) ) ) ) |
% 1.70/0.95 ( ~( E @ ( s @ ( s @ ( s @ 0 ) ) ) @ ( f @ B_12 ) ) ) |
% 1.70/0.95 ( ~( E @ ( s @ ( s @ ( s @ 0 ) ) ) @ ( f @ A_2 ) ) ) |
% 1.70/0.95 ( ~( E @ ( s @ ( s @ ( s @ 0 ) ) ) @ ( f @ ( suc @ B_12 ) ) ) ) |
% 1.70/0.95 ( E @ ( f @ A_2 ) @ ( f @ ( suc @ A_2 ) ) ) |
% 1.70/0.95 ( E @ ( f @ B_12 ) @ ( f @ ( suc @ B_12 ) ) ))).
% 1.70/0.95 thf(zip_derived_cl21, plain,
% 1.70/0.95 (![X0 : $i, X1 : $i]:
% 1.70/0.95 (~ (iLEQ @ (suc @ X0) @ (suc @ X1))
% 1.70/0.95 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ X0)))
% 1.70/0.95 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ X1))
% 1.70/0.95 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ X0))
% 1.70/0.95 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ X1)))
% 1.70/0.95 | (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.70/0.95 | (E @ (f @ X1) @ (f @ (suc @ X1))))),
% 1.70/0.95 inference('cnf', [status(esa)], [clause_49])).
% 1.70/0.95 thf(zip_derived_cl243, plain,
% 1.70/0.95 (![X0 : $i]:
% 1.70/0.95 ( (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.70/0.95 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ X0)))
% 1.70/0.95 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ X0))
% 1.70/0.95 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ X0)))
% 1.70/0.95 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ X0))
% 1.70/0.95 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ X0))
% 1.70/0.95 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ X0)))
% 1.70/0.95 | (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.70/0.95 | (E @ (f @ X0) @ (f @ (suc @ X0))))),
% 1.70/0.95 inference('s_sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl21])).
% 1.70/0.95 thf(zip_derived_cl248, plain,
% 1.70/0.95 (![X0 : $i]:
% 1.70/0.95 (~ (E @ (s @ (s @ (s @ 0))) @ (f @ X0))
% 1.70/0.95 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ X0)))
% 1.70/0.95 | (E @ (f @ X0) @ (f @ (suc @ X0))))),
% 1.70/0.95 inference('simplify', [status(thm)], [zip_derived_cl243])).
% 1.70/0.95 thf(zip_derived_cl254, plain,
% 1.70/0.95 (![X0 : $i]:
% 1.70/0.95 (~ (E @ (s @ (s @ (s @ 0))) @ (f @ X0))
% 1.70/0.95 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ X0)))
% 1.70/0.95 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ (suc @ X0)))))),
% 1.70/0.95 inference('clc', [status(thm)], [zip_derived_cl253, zip_derived_cl248])).
% 1.70/0.95 thf(zip_derived_cl354, plain,
% 1.70/0.95 (![X0 : $i]:
% 1.70/0.95 ( (LE @ (f @ X0) @ (s @ (s @ (s @ 0))))
% 1.70/0.95 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ X0))
% 1.70/0.95 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ X0))))),
% 1.70/0.95 inference('s_sup-', [status(thm)], [zip_derived_cl341, zip_derived_cl254])).
% 1.70/0.95 thf(clause_95, axiom,
% 1.70/0.95 (( ~( LE @ ( f @ B_11 ) @ ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) ) ) |
% 1.70/0.95 ( E @ ( s @ ( s @ ( s @ 0 ) ) ) @ ( f @ B_11 ) ) |
% 1.70/0.95 ( LE @ ( f @ B_11 ) @ ( s @ ( s @ ( s @ 0 ) ) ) ))).
% 1.70/0.95 thf(zip_derived_cl17, plain,
% 1.70/0.95 (![X0 : $i]:
% 1.70/0.95 (~ (LE @ (f @ X0) @ (s @ (s @ (s @ (s @ 0)))))
% 1.70/0.95 | (E @ (s @ (s @ (s @ 0))) @ (f @ X0))
% 1.70/0.95 | (LE @ (f @ X0) @ (s @ (s @ (s @ 0)))))),
% 1.70/0.95 inference('cnf', [status(esa)], [clause_95])).
% 1.70/0.95 thf(zip_derived_cl339, plain,
% 1.70/0.95 (![X0 : $i]: (LE @ (f @ X0) @ (s @ (s @ (s @ (s @ 0)))))),
% 1.70/0.95 inference('clc', [status(thm)], [zip_derived_cl338, zip_derived_cl287])).
% 1.70/0.95 thf(zip_derived_cl340, plain,
% 1.70/0.95 (![X0 : $i]:
% 1.70/0.95 ( (E @ (s @ (s @ (s @ 0))) @ (f @ X0))
% 1.70/0.95 | (LE @ (f @ X0) @ (s @ (s @ (s @ 0)))))),
% 1.70/0.95 inference('demod', [status(thm)], [zip_derived_cl17, zip_derived_cl339])).
% 1.70/0.95 thf(zip_derived_cl355, plain,
% 1.70/0.95 (![X0 : $i]:
% 1.70/0.95 (~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ X0)))
% 1.70/0.95 | (LE @ (f @ X0) @ (s @ (s @ (s @ 0)))))),
% 1.70/0.95 inference('clc', [status(thm)], [zip_derived_cl354, zip_derived_cl340])).
% 1.70/0.95 thf(clause_111, axiom,
% 1.70/0.95 (( ~( LE @ ( f @ ( suc @ B_11 ) ) @ ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) ) ) |
% 1.70/0.95 ( E @ ( s @ ( s @ ( s @ 0 ) ) ) @ ( f @ ( suc @ B_11 ) ) ) |
% 1.70/0.95 ( LE @ ( f @ B_11 ) @ ( s @ ( s @ ( s @ 0 ) ) ) ))).
% 1.70/0.95 thf(zip_derived_cl37, plain,
% 1.70/0.95 (![X0 : $i]:
% 1.70/0.95 (~ (LE @ (f @ (suc @ X0)) @ (s @ (s @ (s @ (s @ 0)))))
% 1.70/0.95 | (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ X0)))
% 1.70/0.95 | (LE @ (f @ X0) @ (s @ (s @ (s @ 0)))))),
% 1.70/0.95 inference('cnf', [status(esa)], [clause_111])).
% 1.70/0.95 thf(zip_derived_cl339, plain,
% 1.70/0.95 (![X0 : $i]: (LE @ (f @ X0) @ (s @ (s @ (s @ (s @ 0)))))),
% 1.70/0.95 inference('clc', [status(thm)], [zip_derived_cl338, zip_derived_cl287])).
% 1.70/0.95 thf(zip_derived_cl342, plain,
% 1.70/0.95 (![X0 : $i]:
% 1.70/0.95 ( (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ X0)))
% 1.70/0.95 | (LE @ (f @ X0) @ (s @ (s @ (s @ 0)))))),
% 1.70/0.95 inference('demod', [status(thm)], [zip_derived_cl37, zip_derived_cl339])).
% 1.70/0.95 thf(zip_derived_cl356, plain,
% 1.70/0.95 (![X0 : $i]: (LE @ (f @ X0) @ (s @ (s @ (s @ 0))))),
% 1.70/0.95 inference('clc', [status(thm)], [zip_derived_cl355, zip_derived_cl342])).
% 1.70/0.95 thf(zip_derived_cl358, plain,
% 1.70/0.95 (![X0 : $i]:
% 1.70/0.95 ( (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ X0))))
% 1.70/0.95 | (LE @ (f @ X0) @ (s @ (s @ 0))))),
% 1.70/0.95 inference('demod', [status(thm)], [zip_derived_cl7, zip_derived_cl356])).
% 1.70/0.95 thf(clause_74, axiom,
% 1.70/0.95 (( ~( E @ ( s @ ( s @ 0 ) ) @ ( f @ ( suc @ B_17 ) ) ) ) |
% 1.70/0.95 ( ~( E @ ( s @ ( s @ 0 ) ) @ ( f @ B_17 ) ) ) |
% 1.70/0.95 ( ~( E @ ( s @ ( s @ 0 ) ) @ ( f @ ( suc @ A_3 ) ) ) ) |
% 1.70/0.95 ( ~( E @ ( s @ ( s @ 0 ) ) @ ( f @ ( suc @ ( suc @ A_3 ) ) ) ) ) |
% 1.70/0.95 ( ~( iLEQ @ ( suc @ A_3 ) @ ( suc @ B_17 ) ) ) |
% 1.70/0.95 ( ~( E @ ( f @ A_3 ) @ ( f @ ( suc @ A_3 ) ) ) ) |
% 1.70/0.95 ( ~( E @ ( f @ B_17 ) @ ( f @ ( suc @ B_17 ) ) ) ) |
% 1.70/0.95 ( ~( E @ ( s @ ( s @ 0 ) ) @ ( f @ A_3 ) ) ) |
% 1.70/0.95 ( ~( E @ ( s @ ( s @ 0 ) ) @ ( f @ ( suc @ ( suc @ B_17 ) ) ) ) ))).
% 1.70/0.95 thf(zip_derived_cl8, plain,
% 1.70/0.95 (![X0 : $i, X1 : $i]:
% 1.70/0.95 (~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 1.70/0.95 | ~ (E @ (s @ (s @ 0)) @ (f @ X0))
% 1.70/0.95 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X1)))
% 1.70/0.95 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ X1))))
% 1.70/0.95 | ~ (iLEQ @ (suc @ X1) @ (suc @ X0))
% 1.70/0.95 | ~ (E @ (f @ X1) @ (f @ (suc @ X1)))
% 1.70/0.95 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.70/0.95 | ~ (E @ (s @ (s @ 0)) @ (f @ X1))
% 1.70/0.95 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ X0)))))),
% 1.70/0.95 inference('cnf', [status(esa)], [clause_74])).
% 1.70/0.95 thf(zip_derived_cl72, plain,
% 1.70/0.95 (![X0 : $i]:
% 1.70/0.95 (~ (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ X0))))
% 1.70/0.95 | ~ (E @ (s @ (s @ 0)) @ (f @ X0))
% 1.70/0.95 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.70/0.95 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.70/0.95 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 1.70/0.95 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 1.70/0.95 | ~ (E @ (s @ (s @ 0)) @ (f @ X0))
% 1.70/0.95 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0))))),
% 1.70/0.95 inference('eq_fact', [status(thm)], [zip_derived_cl8])).
% 1.70/0.95 thf(zip_derived_cl73, plain,
% 1.70/0.95 (![X0 : $i]:
% 1.70/0.95 (~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 1.70/0.95 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 1.70/0.95 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.70/0.95 | ~ (E @ (s @ (s @ 0)) @ (f @ X0))
% 1.70/0.95 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ X0)))))),
% 1.70/0.95 inference('simplify', [status(thm)], [zip_derived_cl72])).
% 1.70/0.95 thf(clause_40, axiom,
% 1.70/0.95 (( ~( E @ ( s @ ( s @ 0 ) ) @ ( f @ ( suc @ ( suc @ A_3 ) ) ) ) ) |
% 1.70/0.95 ( ~( E @ ( s @ ( s @ 0 ) ) @ ( f @ ( suc @ A_3 ) ) ) ) |
% 1.70/0.95 ( ~( E @ ( f @ A_3 ) @ ( f @ ( suc @ A_3 ) ) ) ) |
% 1.70/0.95 ( ~( E @ ( s @ ( s @ 0 ) ) @ ( f @ A_3 ) ) ) |
% 1.70/0.95 ( iLEQ @ ( suc @ A_3 ) @ ( suc @ A_3 ) ))).
% 1.70/0.95 thf(zip_derived_cl16, plain,
% 1.70/0.95 (![X0 : $i]:
% 1.70/0.95 (~ (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ X0))))
% 1.70/0.95 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 1.70/0.95 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.70/0.95 | ~ (E @ (s @ (s @ 0)) @ (f @ X0))
% 1.70/0.95 | (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 1.70/0.95 inference('cnf', [status(esa)], [clause_40])).
% 1.70/0.95 thf(clause_143, axiom,
% 1.70/0.95 (( ~( E @ ( s @ ( s @ 0 ) ) @ ( f @ A_3 ) ) ) |
% 1.70/0.95 ( ~( E @ ( s @ ( s @ 0 ) ) @ ( f @ ( suc @ A_3 ) ) ) ) |
% 1.70/0.95 ( E @ ( f @ A_3 ) @ ( f @ ( suc @ A_3 ) ) ) |
% 1.70/0.95 ( iLEQ @ ( suc @ A_3 ) @ ( suc @ A_3 ) ))).
% 1.70/0.95 thf(zip_derived_cl0, plain,
% 1.70/0.95 (![X0 : $i]:
% 1.70/0.95 (~ (E @ (s @ (s @ 0)) @ (f @ X0))
% 1.70/0.95 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 1.70/0.95 | (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.70/0.95 | (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 1.70/0.95 inference('cnf', [status(esa)], [clause_143])).
% 1.70/0.95 thf(zip_derived_cl49, plain,
% 1.70/0.95 (![X0 : $i]:
% 1.70/0.95 ( (iLEQ @ (suc @ X0) @ (suc @ X0))
% 1.70/0.95 | ~ (E @ (s @ (s @ 0)) @ (f @ X0))
% 1.70/0.95 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 1.70/0.95 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ X0)))))),
% 1.70/0.95 inference('clc', [status(thm)], [zip_derived_cl16, zip_derived_cl0])).
% 1.70/0.95 thf(zip_derived_cl78, plain,
% 1.70/0.95 (![X0 : $i]:
% 1.70/0.95 (~ (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ X0))))
% 1.70/0.95 | ~ (E @ (s @ (s @ 0)) @ (f @ X0))
% 1.70/0.95 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.70/0.95 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0))))),
% 1.70/0.95 inference('clc', [status(thm)], [zip_derived_cl73, zip_derived_cl49])).
% 1.70/0.95 thf(zip_derived_cl373, plain,
% 1.70/0.95 (![X0 : $i]:
% 1.70/0.95 ( (LE @ (f @ X0) @ (s @ (s @ 0)))
% 1.70/0.95 | ~ (E @ (s @ (s @ 0)) @ (f @ X0))
% 1.70/0.95 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.70/0.95 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0))))),
% 1.70/0.95 inference('s_sup-', [status(thm)], [zip_derived_cl358, zip_derived_cl78])).
% 1.70/0.95 thf(clause_125, axiom,
% 1.70/0.95 (( ~( LE @ ( f @ B_16 ) @ ( s @ ( s @ ( s @ 0 ) ) ) ) ) |
% 1.70/0.95 ( E @ ( s @ ( s @ 0 ) ) @ ( f @ B_16 ) ) |
% 1.70/0.95 ( LE @ ( f @ B_16 ) @ ( s @ ( s @ 0 ) ) ))).
% 1.70/0.95 thf(zip_derived_cl2, plain,
% 1.70/0.95 (![X0 : $i]:
% 1.70/0.95 (~ (LE @ (f @ X0) @ (s @ (s @ (s @ 0))))
% 1.70/0.95 | (E @ (s @ (s @ 0)) @ (f @ X0))
% 1.70/0.95 | (LE @ (f @ X0) @ (s @ (s @ 0))))),
% 1.70/0.95 inference('cnf', [status(esa)], [clause_125])).
% 1.70/0.95 thf(zip_derived_cl356, plain,
% 1.70/0.95 (![X0 : $i]: (LE @ (f @ X0) @ (s @ (s @ (s @ 0))))),
% 1.70/0.95 inference('clc', [status(thm)], [zip_derived_cl355, zip_derived_cl342])).
% 1.70/0.95 thf(zip_derived_cl357, plain,
% 1.70/0.95 (![X0 : $i]:
% 1.70/0.95 ( (E @ (s @ (s @ 0)) @ (f @ X0)) | (LE @ (f @ X0) @ (s @ (s @ 0))))),
% 1.70/0.95 inference('demod', [status(thm)], [zip_derived_cl2, zip_derived_cl356])).
% 1.70/0.95 thf(zip_derived_cl380, plain,
% 1.70/0.95 (![X0 : $i]:
% 1.70/0.95 (~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 1.70/0.95 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.70/0.95 | (LE @ (f @ X0) @ (s @ (s @ 0))))),
% 1.70/0.95 inference('clc', [status(thm)], [zip_derived_cl373, zip_derived_cl357])).
% 1.70/0.95 thf(clause_86, axiom,
% 1.70/0.95 (( ~( LE @ ( f @ ( suc @ B_16 ) ) @ ( s @ ( s @ ( s @ 0 ) ) ) ) ) |
% 1.70/0.95 ( E @ ( s @ ( s @ 0 ) ) @ ( f @ ( suc @ B_16 ) ) ) |
% 1.70/0.95 ( LE @ ( f @ B_16 ) @ ( s @ ( s @ 0 ) ) ))).
% 1.70/0.95 thf(zip_derived_cl18, plain,
% 1.70/0.95 (![X0 : $i]:
% 1.70/0.95 (~ (LE @ (f @ (suc @ X0)) @ (s @ (s @ (s @ 0))))
% 1.70/0.95 | (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 1.70/0.95 | (LE @ (f @ X0) @ (s @ (s @ 0))))),
% 1.70/0.95 inference('cnf', [status(esa)], [clause_86])).
% 1.70/0.95 thf(zip_derived_cl356, plain,
% 1.70/0.95 (![X0 : $i]: (LE @ (f @ X0) @ (s @ (s @ (s @ 0))))),
% 1.70/0.95 inference('clc', [status(thm)], [zip_derived_cl355, zip_derived_cl342])).
% 1.70/0.95 thf(zip_derived_cl359, plain,
% 1.70/0.95 (![X0 : $i]:
% 1.70/0.95 ( (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 1.70/0.95 | (LE @ (f @ X0) @ (s @ (s @ 0))))),
% 1.70/0.95 inference('demod', [status(thm)], [zip_derived_cl18, zip_derived_cl356])).
% 1.70/0.95 thf(zip_derived_cl381, plain,
% 1.70/0.95 (![X0 : $i]:
% 1.70/0.95 ( (LE @ (f @ X0) @ (s @ (s @ 0)))
% 1.70/0.95 | ~ (E @ (f @ X0) @ (f @ (suc @ X0))))),
% 1.70/0.95 inference('clc', [status(thm)], [zip_derived_cl380, zip_derived_cl359])).
% 1.70/0.95 thf(zip_derived_cl0, plain,
% 1.70/0.95 (![X0 : $i]:
% 1.70/0.95 (~ (E @ (s @ (s @ 0)) @ (f @ X0))
% 1.70/0.95 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 1.70/0.95 | (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.70/0.95 | (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 1.70/0.95 inference('cnf', [status(esa)], [clause_143])).
% 1.70/0.95 thf(clause_115, axiom,
% 1.70/0.95 (( ~( E @ ( s @ ( s @ 0 ) ) @ ( f @ ( suc @ B_17 ) ) ) ) |
% 1.70/0.95 ( ~( E @ ( s @ ( s @ 0 ) ) @ ( f @ B_17 ) ) ) |
% 1.70/0.95 ( ~( E @ ( s @ ( s @ 0 ) ) @ ( f @ ( suc @ A_3 ) ) ) ) |
% 1.70/0.95 ( ~( iLEQ @ ( suc @ A_3 ) @ ( suc @ B_17 ) ) ) |
% 1.70/0.95 ( ~( E @ ( s @ ( s @ 0 ) ) @ ( f @ A_3 ) ) ) |
% 1.70/0.95 ( E @ ( f @ A_3 ) @ ( f @ ( suc @ A_3 ) ) ) |
% 1.70/0.95 ( E @ ( f @ B_17 ) @ ( f @ ( suc @ B_17 ) ) ))).
% 1.70/0.95 thf(zip_derived_cl39, plain,
% 1.70/0.95 (![X0 : $i, X1 : $i]:
% 1.70/0.95 (~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 1.70/0.95 | ~ (E @ (s @ (s @ 0)) @ (f @ X0))
% 1.70/0.95 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X1)))
% 1.70/0.95 | ~ (iLEQ @ (suc @ X1) @ (suc @ X0))
% 1.70/0.95 | ~ (E @ (s @ (s @ 0)) @ (f @ X1))
% 1.70/0.95 | (E @ (f @ X1) @ (f @ (suc @ X1)))
% 1.70/0.95 | (E @ (f @ X0) @ (f @ (suc @ X0))))),
% 1.70/0.95 inference('cnf', [status(esa)], [clause_115])).
% 1.70/0.95 thf(zip_derived_cl258, plain,
% 1.70/0.95 (![X0 : $i]:
% 1.70/0.95 ( (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.70/0.95 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 1.70/0.95 | ~ (E @ (s @ (s @ 0)) @ (f @ X0))
% 1.70/0.95 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 1.70/0.95 | ~ (E @ (s @ (s @ 0)) @ (f @ X0))
% 1.70/0.95 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 1.70/0.95 | ~ (E @ (s @ (s @ 0)) @ (f @ X0))
% 1.70/0.95 | (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.70/0.95 | (E @ (f @ X0) @ (f @ (suc @ X0))))),
% 1.70/0.95 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl39])).
% 1.70/0.95 thf(zip_derived_cl262, plain,
% 1.70/0.95 (![X0 : $i]:
% 1.70/0.95 (~ (E @ (s @ (s @ 0)) @ (f @ X0))
% 1.70/0.95 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 1.70/0.95 | (E @ (f @ X0) @ (f @ (suc @ X0))))),
% 1.70/0.95 inference('simplify', [status(thm)], [zip_derived_cl258])).
% 1.70/0.95 thf(zip_derived_cl384, plain,
% 1.70/0.95 (![X0 : $i]:
% 1.70/0.95 ( (LE @ (f @ X0) @ (s @ (s @ 0)))
% 1.70/0.95 | ~ (E @ (s @ (s @ 0)) @ (f @ X0))
% 1.70/0.95 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0))))),
% 1.70/0.95 inference('s_sup+', [status(thm)], [zip_derived_cl381, zip_derived_cl262])).
% 1.70/0.95 thf(zip_derived_cl357, plain,
% 1.70/0.95 (![X0 : $i]:
% 1.70/0.95 ( (E @ (s @ (s @ 0)) @ (f @ X0)) | (LE @ (f @ X0) @ (s @ (s @ 0))))),
% 1.70/0.95 inference('demod', [status(thm)], [zip_derived_cl2, zip_derived_cl356])).
% 1.70/0.95 thf(zip_derived_cl394, plain,
% 1.70/0.95 (![X0 : $i]:
% 1.70/0.95 (~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 1.70/0.95 | (LE @ (f @ X0) @ (s @ (s @ 0))))),
% 1.70/0.95 inference('clc', [status(thm)], [zip_derived_cl384, zip_derived_cl357])).
% 1.70/0.95 thf(zip_derived_cl359, plain,
% 1.70/0.95 (![X0 : $i]:
% 1.70/0.95 ( (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 1.70/0.95 | (LE @ (f @ X0) @ (s @ (s @ 0))))),
% 1.70/0.95 inference('demod', [status(thm)], [zip_derived_cl18, zip_derived_cl356])).
% 1.70/0.95 thf(zip_derived_cl395, plain, (![X0 : $i]: (LE @ (f @ X0) @ (s @ (s @ 0)))),
% 1.70/0.95 inference('clc', [status(thm)], [zip_derived_cl394, zip_derived_cl359])).
% 1.70/0.95 thf(zip_derived_cl398, plain,
% 1.70/0.95 (![X0 : $i]:
% 1.70/0.95 ( (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 1.70/0.95 | (LE @ (f @ X0) @ (s @ 0)))),
% 1.70/0.95 inference('demod', [status(thm)], [zip_derived_cl33, zip_derived_cl395])).
% 1.70/0.95 thf(clause_61, axiom,
% 1.70/0.95 (( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ ( suc @ A_4 ) ) ) ) ) |
% 1.70/0.95 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ A_4 ) ) ) ) |
% 1.70/0.95 ( ~( E @ ( f @ A_4 ) @ ( f @ ( suc @ A_4 ) ) ) ) |
% 1.70/0.95 ( ~( E @ ( s @ 0 ) @ ( f @ A_4 ) ) ) |
% 1.70/0.95 ( iLEQ @ ( suc @ A_4 ) @ ( suc @ A_4 ) ))).
% 1.70/0.95 thf(zip_derived_cl3, plain,
% 1.70/0.95 (![X0 : $i]:
% 1.70/0.95 (~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 1.70/0.95 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 1.70/0.95 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.70/0.95 | ~ (E @ (s @ 0) @ (f @ X0))
% 1.70/0.95 | (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 1.70/0.95 inference('cnf', [status(esa)], [clause_61])).
% 1.70/0.95 thf(clause_204, axiom,
% 1.70/0.95 (( ~( E @ ( s @ 0 ) @ ( f @ A_4 ) ) ) |
% 1.70/0.95 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ A_4 ) ) ) ) |
% 1.70/0.95 ( E @ ( f @ A_4 ) @ ( f @ ( suc @ A_4 ) ) ) |
% 1.70/0.95 ( iLEQ @ ( suc @ A_4 ) @ ( suc @ A_4 ) ))).
% 1.70/0.95 thf(zip_derived_cl43, plain,
% 1.70/0.95 (![X0 : $i]:
% 1.70/0.95 (~ (E @ (s @ 0) @ (f @ X0))
% 1.70/0.95 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 1.70/0.95 | (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.70/0.95 | (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 1.70/0.95 inference('cnf', [status(esa)], [clause_204])).
% 1.70/0.95 thf(zip_derived_cl48, plain,
% 1.70/0.95 (![X0 : $i]:
% 1.70/0.95 ( (iLEQ @ (suc @ X0) @ (suc @ X0))
% 1.70/0.95 | ~ (E @ (s @ 0) @ (f @ X0))
% 1.70/0.95 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 1.70/0.95 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0)))))),
% 1.70/0.95 inference('clc', [status(thm)], [zip_derived_cl3, zip_derived_cl43])).
% 1.70/0.95 thf(zip_derived_cl43, plain,
% 1.70/0.95 (![X0 : $i]:
% 1.70/0.95 (~ (E @ (s @ 0) @ (f @ X0))
% 1.70/0.95 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 1.70/0.95 | (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.70/0.95 | (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 1.70/0.95 inference('cnf', [status(esa)], [clause_204])).
% 1.70/0.95 thf(clause_87, axiom,
% 1.70/0.95 (( ~( iLEQ @ ( suc @ A_4 ) @ ( suc @ B_21 ) ) ) |
% 1.70/0.95 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ B_21 ) ) ) ) |
% 1.70/0.95 ( ~( E @ ( s @ 0 ) @ ( f @ B_21 ) ) ) |
% 1.70/0.95 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ A_4 ) ) ) ) |
% 1.70/0.95 ( ~( E @ ( s @ 0 ) @ ( f @ A_4 ) ) ) |
% 1.70/0.95 ( E @ ( f @ A_4 ) @ ( f @ ( suc @ A_4 ) ) ) |
% 1.70/0.95 ( E @ ( f @ B_21 ) @ ( f @ ( suc @ B_21 ) ) ))).
% 1.70/0.95 thf(zip_derived_cl31, plain,
% 1.70/0.95 (![X0 : $i, X1 : $i]:
% 1.70/0.95 (~ (iLEQ @ (suc @ X0) @ (suc @ X1))
% 1.70/0.95 | ~ (E @ (s @ 0) @ (f @ (suc @ X1)))
% 1.70/0.95 | ~ (E @ (s @ 0) @ (f @ X1))
% 1.70/0.95 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 1.70/0.95 | ~ (E @ (s @ 0) @ (f @ X0))
% 1.70/0.95 | (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.70/0.95 | (E @ (f @ X1) @ (f @ (suc @ X1))))),
% 1.70/0.95 inference('cnf', [status(esa)], [clause_87])).
% 1.70/0.95 thf(zip_derived_cl153, plain,
% 1.70/0.95 (![X0 : $i]:
% 1.70/0.95 ( (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.70/0.95 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 1.70/0.95 | ~ (E @ (s @ 0) @ (f @ X0))
% 1.70/0.95 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 1.70/0.95 | ~ (E @ (s @ 0) @ (f @ X0))
% 1.70/0.95 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 1.70/0.95 | ~ (E @ (s @ 0) @ (f @ X0))
% 1.70/0.95 | (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.70/0.95 | (E @ (f @ X0) @ (f @ (suc @ X0))))),
% 1.70/0.95 inference('s_sup-', [status(thm)], [zip_derived_cl43, zip_derived_cl31])).
% 1.70/0.95 thf(zip_derived_cl159, plain,
% 1.70/0.95 (![X0 : $i]:
% 1.70/0.95 (~ (E @ (s @ 0) @ (f @ X0))
% 1.70/0.95 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 1.70/0.95 | (E @ (f @ X0) @ (f @ (suc @ X0))))),
% 1.70/0.95 inference('simplify', [status(thm)], [zip_derived_cl153])).
% 1.70/0.95 thf(clause_175, axiom,
% 1.70/0.95 (( ~( iLEQ @ ( suc @ A_4 ) @ ( suc @ B_21 ) ) ) |
% 1.70/0.95 ( ~( E @ ( f @ A_4 ) @ ( f @ ( suc @ A_4 ) ) ) ) |
% 1.70/0.95 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ B_21 ) ) ) ) |
% 1.70/0.95 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ ( suc @ B_21 ) ) ) ) ) |
% 1.70/0.95 ( ~( E @ ( s @ 0 ) @ ( f @ B_21 ) ) ) |
% 1.70/0.95 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ ( suc @ A_4 ) ) ) ) ) |
% 1.70/0.95 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ A_4 ) ) ) ) |
% 1.70/0.95 ( ~( E @ ( f @ B_21 ) @ ( f @ ( suc @ B_21 ) ) ) ) |
% 1.70/0.95 ( ~( E @ ( s @ 0 ) @ ( f @ A_4 ) ) ))).
% 1.70/0.95 thf(zip_derived_cl20, plain,
% 1.70/0.95 (![X0 : $i, X1 : $i]:
% 1.70/0.95 (~ (iLEQ @ (suc @ X0) @ (suc @ X1))
% 1.70/0.95 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.70/0.95 | ~ (E @ (s @ 0) @ (f @ (suc @ X1)))
% 1.70/0.95 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X1))))
% 1.70/0.95 | ~ (E @ (s @ 0) @ (f @ X1))
% 1.70/0.95 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 1.70/0.95 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 1.70/0.95 | ~ (E @ (f @ X1) @ (f @ (suc @ X1)))
% 1.70/0.95 | ~ (E @ (s @ 0) @ (f @ X0)))),
% 1.70/0.95 inference('cnf', [status(esa)], [clause_175])).
% 1.70/0.95 thf(zip_derived_cl162, plain,
% 1.70/0.95 (![X0 : $i, X1 : $i]:
% 1.70/0.95 (~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 1.70/0.95 | ~ (E @ (s @ 0) @ (f @ X0))
% 1.70/0.95 | ~ (iLEQ @ (suc @ X0) @ (suc @ X1))
% 1.70/0.95 | ~ (E @ (s @ 0) @ (f @ (suc @ X1)))
% 1.70/0.95 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X1))))
% 1.70/0.95 | ~ (E @ (s @ 0) @ (f @ X1))
% 1.70/0.95 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 1.70/0.95 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 1.70/0.95 | ~ (E @ (f @ X1) @ (f @ (suc @ X1)))
% 1.70/0.95 | ~ (E @ (s @ 0) @ (f @ X0)))),
% 1.70/0.95 inference('s_sup-', [status(thm)], [zip_derived_cl159, zip_derived_cl20])).
% 1.70/0.95 thf(zip_derived_cl164, plain,
% 1.70/0.95 (![X0 : $i, X1 : $i]:
% 1.70/0.95 (~ (E @ (f @ X1) @ (f @ (suc @ X1)))
% 1.70/0.95 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 1.70/0.95 | ~ (E @ (s @ 0) @ (f @ X1))
% 1.70/0.95 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X1))))
% 1.70/0.95 | ~ (E @ (s @ 0) @ (f @ (suc @ X1)))
% 1.70/0.95 | ~ (iLEQ @ (suc @ X0) @ (suc @ X1))
% 1.70/0.95 | ~ (E @ (s @ 0) @ (f @ X0))
% 1.70/0.95 | ~ (E @ (s @ 0) @ (f @ (suc @ X0))))),
% 1.70/0.95 inference('simplify', [status(thm)], [zip_derived_cl162])).
% 1.70/0.95 thf(zip_derived_cl159, plain,
% 1.70/0.95 (![X0 : $i]:
% 1.70/0.95 (~ (E @ (s @ 0) @ (f @ X0))
% 1.70/0.95 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 1.70/0.95 | (E @ (f @ X0) @ (f @ (suc @ X0))))),
% 1.70/0.95 inference('simplify', [status(thm)], [zip_derived_cl153])).
% 1.70/0.95 thf(zip_derived_cl175, plain,
% 1.70/0.95 (![X0 : $i, X1 : $i]:
% 1.70/0.95 (~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 1.70/0.95 | ~ (E @ (s @ 0) @ (f @ X0))
% 1.70/0.95 | ~ (iLEQ @ (suc @ X0) @ (suc @ X1))
% 1.70/0.95 | ~ (E @ (s @ 0) @ (f @ (suc @ X1)))
% 1.70/0.95 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X1))))
% 1.70/0.95 | ~ (E @ (s @ 0) @ (f @ X1))
% 1.70/0.95 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0)))))),
% 1.70/0.95 inference('clc', [status(thm)], [zip_derived_cl164, zip_derived_cl159])).
% 1.70/0.95 thf(zip_derived_cl184, plain,
% 1.70/0.95 (![X0 : $i]:
% 1.70/0.95 (~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 1.70/0.95 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 1.70/0.95 | ~ (E @ (s @ 0) @ (f @ X0))
% 1.70/0.95 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 1.70/0.95 | ~ (E @ (s @ 0) @ (f @ X0))
% 1.70/0.95 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 1.70/0.95 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 1.70/0.95 | ~ (E @ (s @ 0) @ (f @ X0))
% 1.70/0.95 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0)))))),
% 1.70/0.95 inference('s_sup-', [status(thm)], [zip_derived_cl48, zip_derived_cl175])).
% 1.70/0.95 thf(zip_derived_cl189, plain,
% 1.70/0.95 (![X0 : $i]:
% 1.70/0.95 (~ (E @ (s @ 0) @ (f @ X0))
% 1.70/0.95 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 1.70/0.95 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0)))))),
% 1.70/0.95 inference('simplify', [status(thm)], [zip_derived_cl184])).
% 1.70/0.95 thf(zip_derived_cl403, plain,
% 1.70/0.95 (![X0 : $i]:
% 1.70/0.95 ( (LE @ (f @ X0) @ (s @ 0))
% 1.70/0.95 | ~ (E @ (s @ 0) @ (f @ X0))
% 1.70/0.95 | ~ (E @ (s @ 0) @ (f @ (suc @ X0))))),
% 1.70/0.95 inference('s_sup-', [status(thm)], [zip_derived_cl398, zip_derived_cl189])).
% 1.70/0.95 thf(clause_184, axiom,
% 1.70/0.95 (( ~( LE @ ( f @ B_20 ) @ ( s @ ( s @ 0 ) ) ) ) |
% 1.70/0.95 ( E @ ( s @ 0 ) @ ( f @ B_20 ) ) | ( LE @ ( f @ B_20 ) @ ( s @ 0 ) ))).
% 1.70/0.95 thf(zip_derived_cl12, plain,
% 1.70/0.95 (![X0 : $i]:
% 1.70/0.95 (~ (LE @ (f @ X0) @ (s @ (s @ 0)))
% 1.70/0.95 | (E @ (s @ 0) @ (f @ X0))
% 1.70/0.95 | (LE @ (f @ X0) @ (s @ 0)))),
% 1.70/0.95 inference('cnf', [status(esa)], [clause_184])).
% 1.70/0.95 thf(zip_derived_cl395, plain, (![X0 : $i]: (LE @ (f @ X0) @ (s @ (s @ 0)))),
% 1.70/0.95 inference('clc', [status(thm)], [zip_derived_cl394, zip_derived_cl359])).
% 1.70/0.95 thf(zip_derived_cl396, plain,
% 1.70/0.95 (![X0 : $i]: ( (E @ (s @ 0) @ (f @ X0)) | (LE @ (f @ X0) @ (s @ 0)))),
% 1.70/0.95 inference('demod', [status(thm)], [zip_derived_cl12, zip_derived_cl395])).
% 1.70/0.95 thf(zip_derived_cl404, plain,
% 1.70/0.95 (![X0 : $i]:
% 1.70/0.95 (~ (E @ (s @ 0) @ (f @ (suc @ X0))) | (LE @ (f @ X0) @ (s @ 0)))),
% 1.70/0.95 inference('clc', [status(thm)], [zip_derived_cl403, zip_derived_cl396])).
% 1.70/0.95 thf(clause_30, axiom,
% 1.70/0.95 (( ~( LE @ ( f @ ( suc @ B_20 ) ) @ ( s @ ( s @ 0 ) ) ) ) |
% 1.70/0.95 ( E @ ( s @ 0 ) @ ( f @ ( suc @ B_20 ) ) ) |
% 1.70/0.95 ( LE @ ( f @ B_20 ) @ ( s @ 0 ) ))).
% 1.70/0.95 thf(zip_derived_cl30, plain,
% 1.70/0.95 (![X0 : $i]:
% 1.70/0.95 (~ (LE @ (f @ (suc @ X0)) @ (s @ (s @ 0)))
% 1.70/0.95 | (E @ (s @ 0) @ (f @ (suc @ X0)))
% 1.70/0.95 | (LE @ (f @ X0) @ (s @ 0)))),
% 1.70/0.95 inference('cnf', [status(esa)], [clause_30])).
% 1.70/0.95 thf(zip_derived_cl395, plain, (![X0 : $i]: (LE @ (f @ X0) @ (s @ (s @ 0)))),
% 1.70/0.95 inference('clc', [status(thm)], [zip_derived_cl394, zip_derived_cl359])).
% 1.70/0.95 thf(zip_derived_cl397, plain,
% 1.70/0.95 (![X0 : $i]:
% 1.70/0.95 ( (E @ (s @ 0) @ (f @ (suc @ X0))) | (LE @ (f @ X0) @ (s @ 0)))),
% 1.70/0.95 inference('demod', [status(thm)], [zip_derived_cl30, zip_derived_cl395])).
% 1.70/0.95 thf(zip_derived_cl405, plain, (![X0 : $i]: (LE @ (f @ X0) @ (s @ 0))),
% 1.70/0.95 inference('clc', [status(thm)], [zip_derived_cl404, zip_derived_cl397])).
% 1.70/0.95 thf(zip_derived_cl407, plain,
% 1.70/0.95 (![X0 : $i]: ( (E @ 0 @ (f @ (suc @ (suc @ X0)))) | (LE @ (f @ X0) @ 0))),
% 1.70/0.95 inference('demod', [status(thm)], [zip_derived_cl40, zip_derived_cl405])).
% 1.70/0.95 thf(clause_44, axiom,
% 1.70/0.95 (( ~( E @ 0 @ ( f @ ( suc @ ( suc @ A_5 ) ) ) ) ) |
% 1.70/0.95 ( ~( E @ 0 @ ( f @ ( suc @ A_5 ) ) ) ) |
% 1.70/0.95 ( ~( E @ ( f @ A_5 ) @ ( f @ ( suc @ A_5 ) ) ) ) |
% 1.70/0.95 ( ~( E @ 0 @ ( f @ A_5 ) ) ) | ( iLEQ @ ( suc @ A_5 ) @ ( suc @ A_5 ) ))).
% 1.70/0.95 thf(zip_derived_cl35, plain,
% 1.70/0.95 (![X0 : $i]:
% 1.70/0.95 (~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 1.70/0.95 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 1.70/0.95 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.70/0.95 | ~ (E @ 0 @ (f @ X0))
% 1.70/0.95 | (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 1.70/0.95 inference('cnf', [status(esa)], [clause_44])).
% 1.70/0.95 thf(clause_19, axiom,
% 1.70/0.95 (( ~( E @ 0 @ ( f @ A_5 ) ) ) | ( ~( E @ 0 @ ( f @ ( suc @ A_5 ) ) ) ) |
% 1.70/0.95 ( E @ ( f @ A_5 ) @ ( f @ ( suc @ A_5 ) ) ) |
% 1.70/0.95 ( iLEQ @ ( suc @ A_5 ) @ ( suc @ A_5 ) ))).
% 1.70/0.95 thf(zip_derived_cl38, plain,
% 1.70/0.95 (![X0 : $i]:
% 1.70/0.95 (~ (E @ 0 @ (f @ X0))
% 1.70/0.95 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 1.70/0.95 | (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.70/0.95 | (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 1.70/0.95 inference('cnf', [status(esa)], [clause_19])).
% 1.70/0.95 thf(zip_derived_cl47, plain,
% 1.70/0.95 (![X0 : $i]:
% 1.70/0.95 ( (iLEQ @ (suc @ X0) @ (suc @ X0))
% 1.70/0.95 | ~ (E @ 0 @ (f @ X0))
% 1.70/0.95 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 1.70/0.95 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0)))))),
% 1.70/0.95 inference('clc', [status(thm)], [zip_derived_cl35, zip_derived_cl38])).
% 1.70/0.95 thf(zip_derived_cl38, plain,
% 1.70/0.95 (![X0 : $i]:
% 1.70/0.95 (~ (E @ 0 @ (f @ X0))
% 1.70/0.95 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 1.70/0.95 | (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.70/0.95 | (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 1.70/0.95 inference('cnf', [status(esa)], [clause_19])).
% 1.70/0.95 thf(clause_169, axiom,
% 1.70/0.95 (( ~( iLEQ @ ( suc @ A_5 ) @ ( suc @ B_24 ) ) ) |
% 1.70/0.95 ( ~( E @ 0 @ ( f @ A_5 ) ) ) | ( ~( E @ 0 @ ( f @ ( suc @ A_5 ) ) ) ) |
% 1.70/0.95 ( ~( E @ 0 @ ( f @ ( suc @ B_24 ) ) ) ) | ( ~( E @ 0 @ ( f @ B_24 ) ) ) |
% 1.70/0.95 ( E @ ( f @ A_5 ) @ ( f @ ( suc @ A_5 ) ) ) |
% 1.70/0.95 ( E @ ( f @ B_24 ) @ ( f @ ( suc @ B_24 ) ) ))).
% 1.70/0.95 thf(zip_derived_cl4, plain,
% 1.70/0.95 (![X0 : $i, X1 : $i]:
% 1.70/0.95 (~ (iLEQ @ (suc @ X0) @ (suc @ X1))
% 1.70/0.95 | ~ (E @ 0 @ (f @ X0))
% 1.70/0.95 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 1.70/0.95 | ~ (E @ 0 @ (f @ (suc @ X1)))
% 1.70/0.95 | ~ (E @ 0 @ (f @ X1))
% 1.70/0.95 | (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.70/0.95 | (E @ (f @ X1) @ (f @ (suc @ X1))))),
% 1.70/0.95 inference('cnf', [status(esa)], [clause_169])).
% 1.70/0.95 thf(zip_derived_cl61, plain,
% 1.70/0.95 (![X0 : $i]:
% 1.70/0.95 ( (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.70/0.95 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 1.70/0.95 | ~ (E @ 0 @ (f @ X0))
% 1.70/0.95 | ~ (E @ 0 @ (f @ X0))
% 1.70/0.95 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 1.70/0.95 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 1.70/0.95 | ~ (E @ 0 @ (f @ X0))
% 1.70/0.95 | (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.70/0.95 | (E @ (f @ X0) @ (f @ (suc @ X0))))),
% 1.70/0.95 inference('s_sup-', [status(thm)], [zip_derived_cl38, zip_derived_cl4])).
% 1.70/0.95 thf(zip_derived_cl68, plain,
% 1.70/0.95 (![X0 : $i]:
% 1.70/0.95 (~ (E @ 0 @ (f @ X0))
% 1.70/0.95 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 1.70/0.95 | (E @ (f @ X0) @ (f @ (suc @ X0))))),
% 1.70/0.95 inference('simplify', [status(thm)], [zip_derived_cl61])).
% 1.70/0.95 thf(clause_105, axiom,
% 1.70/0.95 (( ~( E @ ( f @ B_24 ) @ ( f @ ( suc @ B_24 ) ) ) ) |
% 1.70/0.95 ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ B_24 ) ) ) ) ) |
% 1.70/0.95 ( ~( iLEQ @ ( suc @ A_5 ) @ ( suc @ B_24 ) ) ) |
% 1.70/0.95 ( ~( E @ 0 @ ( f @ A_5 ) ) ) | ( ~( E @ 0 @ ( f @ ( suc @ A_5 ) ) ) ) |
% 1.70/0.95 ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ A_5 ) ) ) ) ) |
% 1.70/0.95 ( ~( E @ 0 @ ( f @ ( suc @ B_24 ) ) ) ) | ( ~( E @ 0 @ ( f @ B_24 ) ) ) |
% 1.70/0.95 ( ~( E @ ( f @ A_5 ) @ ( f @ ( suc @ A_5 ) ) ) ))).
% 1.70/0.95 thf(zip_derived_cl32, plain,
% 1.70/0.95 (![X0 : $i, X1 : $i]:
% 1.70/0.95 (~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.70/0.95 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 1.70/0.95 | ~ (iLEQ @ (suc @ X1) @ (suc @ X0))
% 1.70/0.95 | ~ (E @ 0 @ (f @ X1))
% 1.70/0.95 | ~ (E @ 0 @ (f @ (suc @ X1)))
% 1.70/0.95 | ~ (E @ 0 @ (f @ (suc @ (suc @ X1))))
% 1.70/0.95 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 1.70/0.95 | ~ (E @ 0 @ (f @ X0))
% 1.70/0.95 | ~ (E @ (f @ X1) @ (f @ (suc @ X1))))),
% 1.70/0.95 inference('cnf', [status(esa)], [clause_105])).
% 1.70/0.95 thf(zip_derived_cl75, plain,
% 1.70/0.95 (![X0 : $i, X1 : $i]:
% 1.70/0.95 (~ (E @ 0 @ (f @ (suc @ X0)))
% 1.70/0.95 | ~ (E @ 0 @ (f @ X0))
% 1.70/0.95 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 1.70/0.95 | ~ (iLEQ @ (suc @ X1) @ (suc @ X0))
% 1.70/0.95 | ~ (E @ 0 @ (f @ X1))
% 1.70/0.95 | ~ (E @ 0 @ (f @ (suc @ X1)))
% 1.70/0.95 | ~ (E @ 0 @ (f @ (suc @ (suc @ X1))))
% 1.70/0.95 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 1.70/0.95 | ~ (E @ 0 @ (f @ X0))
% 1.70/0.95 | ~ (E @ (f @ X1) @ (f @ (suc @ X1))))),
% 1.70/0.95 inference('s_sup-', [status(thm)], [zip_derived_cl68, zip_derived_cl32])).
% 1.70/0.95 thf(zip_derived_cl76, plain,
% 1.70/0.95 (![X0 : $i, X1 : $i]:
% 1.70/0.95 (~ (E @ (f @ X1) @ (f @ (suc @ X1)))
% 1.70/0.95 | ~ (E @ 0 @ (f @ (suc @ (suc @ X1))))
% 1.70/0.95 | ~ (E @ 0 @ (f @ (suc @ X1)))
% 1.70/0.95 | ~ (E @ 0 @ (f @ X1))
% 1.70/0.95 | ~ (iLEQ @ (suc @ X1) @ (suc @ X0))
% 1.70/0.95 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 1.70/0.95 | ~ (E @ 0 @ (f @ X0))
% 1.70/0.95 | ~ (E @ 0 @ (f @ (suc @ X0))))),
% 1.70/0.95 inference('simplify', [status(thm)], [zip_derived_cl75])).
% 1.70/0.95 thf(zip_derived_cl68, plain,
% 1.70/0.95 (![X0 : $i]:
% 1.70/0.95 (~ (E @ 0 @ (f @ X0))
% 1.70/0.95 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 1.70/0.95 | (E @ (f @ X0) @ (f @ (suc @ X0))))),
% 1.70/0.95 inference('simplify', [status(thm)], [zip_derived_cl61])).
% 1.70/0.95 thf(zip_derived_cl91, plain,
% 1.70/0.95 (![X0 : $i, X1 : $i]:
% 1.70/0.95 (~ (E @ 0 @ (f @ (suc @ X0)))
% 1.70/0.95 | ~ (E @ 0 @ (f @ X0))
% 1.70/0.95 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 1.70/0.95 | ~ (iLEQ @ (suc @ X1) @ (suc @ X0))
% 1.70/0.95 | ~ (E @ 0 @ (f @ X1))
% 1.70/0.95 | ~ (E @ 0 @ (f @ (suc @ X1)))
% 1.70/0.95 | ~ (E @ 0 @ (f @ (suc @ (suc @ X1)))))),
% 1.70/0.95 inference('clc', [status(thm)], [zip_derived_cl76, zip_derived_cl68])).
% 1.70/0.95 thf(zip_derived_cl102, plain,
% 1.70/0.95 (![X0 : $i]:
% 1.70/0.95 (~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 1.70/0.95 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 1.70/0.95 | ~ (E @ 0 @ (f @ X0))
% 1.70/0.95 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 1.70/0.95 | ~ (E @ 0 @ (f @ X0))
% 1.70/0.95 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 1.70/0.95 | ~ (E @ 0 @ (f @ X0))
% 1.70/0.95 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 1.70/0.95 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0)))))),
% 1.70/0.95 inference('s_sup-', [status(thm)], [zip_derived_cl47, zip_derived_cl91])).
% 1.70/0.95 thf(zip_derived_cl108, plain,
% 1.70/0.95 (![X0 : $i]:
% 1.70/0.95 (~ (E @ 0 @ (f @ X0))
% 1.70/0.95 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 1.70/0.95 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0)))))),
% 1.70/0.95 inference('simplify', [status(thm)], [zip_derived_cl102])).
% 1.70/0.95 thf(zip_derived_cl414, plain,
% 1.70/0.95 (![X0 : $i]:
% 1.70/0.95 ( (LE @ (f @ X0) @ 0)
% 1.70/0.95 | ~ (E @ 0 @ (f @ X0))
% 1.70/0.95 | ~ (E @ 0 @ (f @ (suc @ X0))))),
% 1.70/0.95 inference('s_sup-', [status(thm)], [zip_derived_cl407, zip_derived_cl108])).
% 1.70/0.95 thf(clause_173, axiom,
% 1.70/0.95 (( ~( LE @ ( f @ B_23 ) @ ( s @ 0 ) ) ) | ( E @ 0 @ ( f @ B_23 ) ) |
% 1.70/0.95 ( LE @ ( f @ B_23 ) @ 0 ))).
% 1.70/0.95 thf(zip_derived_cl46, plain,
% 1.70/0.95 (![X0 : $i]:
% 1.70/0.95 (~ (LE @ (f @ X0) @ (s @ 0))
% 1.70/0.95 | (E @ 0 @ (f @ X0))
% 1.70/0.95 | (LE @ (f @ X0) @ 0))),
% 1.70/0.95 inference('cnf', [status(esa)], [clause_173])).
% 1.70/0.95 thf(zip_derived_cl405, plain, (![X0 : $i]: (LE @ (f @ X0) @ (s @ 0))),
% 1.70/0.95 inference('clc', [status(thm)], [zip_derived_cl404, zip_derived_cl397])).
% 1.70/0.95 thf(zip_derived_cl408, plain,
% 1.70/0.95 (![X0 : $i]: ( (E @ 0 @ (f @ X0)) | (LE @ (f @ X0) @ 0))),
% 1.70/0.95 inference('demod', [status(thm)], [zip_derived_cl46, zip_derived_cl405])).
% 1.70/0.95 thf(zip_derived_cl415, plain,
% 1.70/0.95 (![X0 : $i]: (~ (E @ 0 @ (f @ (suc @ X0))) | (LE @ (f @ X0) @ 0))),
% 1.70/0.95 inference('clc', [status(thm)], [zip_derived_cl414, zip_derived_cl408])).
% 1.70/0.95 thf(clause_168, axiom,
% 1.70/0.95 (( ~( LE @ ( f @ ( suc @ B_23 ) ) @ ( s @ 0 ) ) ) |
% 1.70/0.95 ( E @ 0 @ ( f @ ( suc @ B_23 ) ) ) | ( LE @ ( f @ B_23 ) @ 0 ))).
% 1.70/0.95 thf(zip_derived_cl28, plain,
% 1.70/0.95 (![X0 : $i]:
% 1.70/0.95 (~ (LE @ (f @ (suc @ X0)) @ (s @ 0))
% 1.70/0.95 | (E @ 0 @ (f @ (suc @ X0)))
% 1.70/0.95 | (LE @ (f @ X0) @ 0))),
% 1.70/0.95 inference('cnf', [status(esa)], [clause_168])).
% 1.70/0.95 thf(zip_derived_cl405, plain, (![X0 : $i]: (LE @ (f @ X0) @ (s @ 0))),
% 1.70/0.95 inference('clc', [status(thm)], [zip_derived_cl404, zip_derived_cl397])).
% 1.70/0.95 thf(zip_derived_cl406, plain,
% 1.70/0.95 (![X0 : $i]: ( (E @ 0 @ (f @ (suc @ X0))) | (LE @ (f @ X0) @ 0))),
% 1.70/0.95 inference('demod', [status(thm)], [zip_derived_cl28, zip_derived_cl405])).
% 1.70/0.95 thf(zip_derived_cl416, plain, (![X0 : $i]: (LE @ (f @ X0) @ 0)),
% 1.70/0.95 inference('clc', [status(thm)], [zip_derived_cl415, zip_derived_cl406])).
% 1.70/0.95 thf(zip_derived_cl417, plain, ($false),
% 1.70/0.95 inference('demod', [status(thm)], [zip_derived_cl19, zip_derived_cl416])).
% 1.70/0.95
% 1.70/0.95 % SZS output end Refutation
% 1.70/0.95
% 1.70/0.95
% 1.70/0.95 % Terminating...
% 2.43/1.05 % Runner terminated.
% 2.43/1.06 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------