%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYO659-1 : TPTP v9.2.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.U5SskCMR5F true
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Oct 2 05:08:05 PM UTC 2025
% Result : Unsatisfiable 2.37s 0.97s
% Output : Refutation 2.37s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : SYO659-1 : TPTP v9.2.0. Released v7.3.0.
% 0.11/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.U5SskCMR5F true
% 0.13/0.34 % Computer : n015.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Oct 1 17:49:38 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.20/0.61 % Total configuration time : 435
% 0.20/0.61 % Estimated wc time : 1092
% 0.20/0.61 % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.70 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.73 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.73 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.73 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.73 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.73 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.20/0.74 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.20/0.78 % /export/starexec/sandbox/solver/bin/fo/fo1_lcnf.sh running for 50s
% 2.37/0.97 % Solved by fo/fo3_bce.sh.
% 2.37/0.97 % BCE start: 52
% 2.37/0.97 % BCE eliminated: 0
% 2.37/0.97 % PE start: 52
% 2.37/0.97 logic: neq
% 2.37/0.97 % PE eliminated: 24
% 2.37/0.97 % done 168 iterations in 0.204s
% 2.37/0.97 % SZS status Unsatisfiable for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 2.37/0.97 % SZS output start Refutation
% 2.37/0.97 thf(suc_type, type, suc: $i > $i).
% 2.37/0.97 thf(0_type, type, 0: $i).
% 2.37/0.97 thf(LE_type, type, LE: $i > $i > $o).
% 2.37/0.97 thf(iLEQ_type, type, iLEQ: $i > $i > $o).
% 2.37/0.97 thf(f_type, type, f: $i > $i).
% 2.37/0.97 thf(z_type, type, z: $i).
% 2.37/0.97 thf(s_type, type, s: $i > $i).
% 2.37/0.97 thf(E_type, type, E: $i > $i > $o).
% 2.37/0.97 thf(clause_667, axiom,
% 2.37/0.97 (( ~( E @ 0 @ ( f @ ( suc @ A_2 ) ) ) ) |
% 2.37/0.97 ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ A_2 ) ) ) ) ) |
% 2.37/0.97 ( ~( E @ ( f @ A_2 ) @ ( f @ ( suc @ ( suc @ A_2 ) ) ) ) ) |
% 2.37/0.97 ( ~( E @ 0 @ ( f @ A_2 ) ) ) |
% 2.37/0.97 ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ ( suc @ ( suc @ A_2 ) ) ) ) ) ) ) |
% 2.37/0.97 ( ~( E @ ( f @ A_2 ) @ ( f @ ( suc @ ( suc @ ( suc @ A_2 ) ) ) ) ) ) |
% 2.37/0.97 ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ ( suc @ A_2 ) ) ) ) ) ) |
% 2.37/0.97 ( ~( E @ ( f @ A_2 ) @ ( f @ ( suc @ A_2 ) ) ) ) |
% 2.37/0.97 ( iLEQ @ ( suc @ A_2 ) @ ( suc @ A_2 ) ))).
% 2.37/0.97 thf(zip_derived_cl17, plain,
% 2.37/0.97 (![X0 : $i]:
% 2.37/0.97 (~ (E @ 0 @ (f @ (suc @ X0)))
% 2.37/0.97 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 2.37/0.97 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 2.37/0.97 | ~ (E @ 0 @ (f @ X0))
% 2.37/0.97 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ (suc @ X0))))))
% 2.37/0.97 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 2.37/0.97 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0)))))
% 2.37/0.97 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 2.37/0.97 | (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 2.37/0.97 inference('cnf', [status(esa)], [clause_667])).
% 2.37/0.97 thf(clause_618, axiom,
% 2.37/0.97 (( ~( E @ 0 @ ( f @ ( suc @ A_2 ) ) ) ) |
% 2.37/0.97 ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ B_6 ) ) ) ) ) |
% 2.37/0.97 ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ A_2 ) ) ) ) ) |
% 2.37/0.97 ( ~( E @ ( f @ A_2 ) @ ( f @ ( suc @ ( suc @ A_2 ) ) ) ) ) |
% 2.37/0.97 ( ~( E @ 0 @ ( f @ A_2 ) ) ) |
% 2.37/0.97 ( ~( iLEQ @ ( suc @ A_2 ) @ ( suc @ B_6 ) ) ) |
% 2.37/0.97 ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ ( suc @ ( suc @ A_2 ) ) ) ) ) ) ) |
% 2.37/0.97 ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ ( suc @ B_6 ) ) ) ) ) ) |
% 2.37/0.97 ( ~( E @ ( f @ A_2 ) @ ( f @ ( suc @ ( suc @ ( suc @ A_2 ) ) ) ) ) ) |
% 2.37/0.97 ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ ( suc @ ( suc @ B_6 ) ) ) ) ) ) ) |
% 2.37/0.97 ( ~( E @ ( f @ B_6 ) @ ( f @ ( suc @ ( suc @ ( suc @ B_6 ) ) ) ) ) ) |
% 2.37/0.97 ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ ( suc @ A_2 ) ) ) ) ) ) |
% 2.37/0.97 ( ~( E @ 0 @ ( f @ B_6 ) ) ) |
% 2.37/0.97 ( ~( E @ ( f @ B_6 ) @ ( f @ ( suc @ ( suc @ B_6 ) ) ) ) ) |
% 2.37/0.97 ( ~( E @ ( f @ A_2 ) @ ( f @ ( suc @ A_2 ) ) ) ) |
% 2.37/0.97 ( ~( E @ ( f @ B_6 ) @ ( f @ ( suc @ B_6 ) ) ) ) |
% 2.37/0.97 ( ~( E @ 0 @ ( f @ ( suc @ B_6 ) ) ) ))).
% 2.37/0.97 thf(zip_derived_cl34, plain,
% 2.37/0.97 (![X0 : $i, X1 : $i]:
% 2.37/0.97 (~ (E @ 0 @ (f @ (suc @ X0)))
% 2.37/0.97 | ~ (E @ 0 @ (f @ (suc @ (suc @ X1))))
% 2.37/0.97 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 2.37/0.97 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 2.37/0.97 | ~ (E @ 0 @ (f @ X0))
% 2.37/0.97 | ~ (iLEQ @ (suc @ X0) @ (suc @ X1))
% 2.37/0.97 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ (suc @ X0))))))
% 2.37/0.97 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X1)))))
% 2.37/0.97 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 2.37/0.97 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ (suc @ X1))))))
% 2.37/0.97 | ~ (E @ (f @ X1) @ (f @ (suc @ (suc @ (suc @ X1)))))
% 2.37/0.97 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0)))))
% 2.37/0.97 | ~ (E @ 0 @ (f @ X1))
% 2.37/0.97 | ~ (E @ (f @ X1) @ (f @ (suc @ (suc @ X1))))
% 2.37/0.97 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 2.37/0.97 | ~ (E @ (f @ X1) @ (f @ (suc @ X1)))
% 2.37/0.97 | ~ (E @ 0 @ (f @ (suc @ X1))))),
% 2.37/0.97 inference('cnf', [status(esa)], [clause_618])).
% 2.37/0.97 thf(zip_derived_cl168, plain,
% 2.37/0.97 (![X0 : $i]:
% 2.37/0.97 (~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 2.37/0.97 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0)))))
% 2.37/0.97 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 2.37/0.97 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ (suc @ X0))))))
% 2.37/0.97 | ~ (E @ 0 @ (f @ X0))
% 2.37/0.97 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 2.37/0.97 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 2.37/0.97 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 2.37/0.97 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 2.37/0.97 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 2.37/0.97 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 2.37/0.97 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 2.37/0.97 | ~ (E @ 0 @ (f @ X0))
% 2.37/0.97 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0)))))
% 2.37/0.97 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 2.37/0.97 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ (suc @ X0))))))
% 2.37/0.97 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 2.37/0.97 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0)))))
% 2.37/0.97 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ (suc @ X0))))))
% 2.37/0.97 | ~ (E @ 0 @ (f @ X0))
% 2.37/0.97 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 2.37/0.97 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 2.37/0.97 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 2.37/0.97 | ~ (E @ 0 @ (f @ (suc @ X0))))),
% 2.37/0.97 inference('dp-resolution', [status(thm)],
% 2.37/0.97 [zip_derived_cl17, zip_derived_cl34])).
% 2.37/0.97 thf(zip_derived_cl394, plain,
% 2.37/0.97 (![X0 : $i]:
% 2.37/0.97 (~ (E @ 0 @ (f @ (suc @ X0)))
% 2.37/0.97 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 2.37/0.97 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 2.37/0.97 | ~ (E @ 0 @ (f @ X0))
% 2.37/0.97 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ (suc @ X0))))))
% 2.37/0.97 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 2.37/0.97 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0)))))
% 2.37/0.97 | ~ (E @ (f @ X0) @ (f @ (suc @ X0))))),
% 2.37/0.97 inference('simplify', [status(thm)], [zip_derived_cl168])).
% 2.37/0.97 thf(clause_14, axiom,
% 2.37/0.97 (( ~( E @ 0 @ ( f @ ( suc @ ( suc @ A_2 ) ) ) ) ) |
% 2.37/0.97 ( ~( E @ 0 @ ( f @ ( suc @ A_2 ) ) ) ) |
% 2.37/0.97 ( ~( E @ ( f @ A_2 ) @ ( f @ ( suc @ A_2 ) ) ) ) |
% 2.37/0.97 ( ~( E @ 0 @ ( f @ A_2 ) ) ) |
% 2.37/0.97 ( E @ ( f @ A_2 ) @ ( f @ ( suc @ ( suc @ A_2 ) ) ) ) |
% 2.37/0.97 ( iLEQ @ ( suc @ A_2 ) @ ( suc @ A_2 ) ))).
% 2.37/0.97 thf(zip_derived_cl6, plain,
% 2.37/0.97 (![X0 : $i]:
% 2.37/0.97 (~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 2.37/0.97 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 2.37/0.97 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 2.37/0.97 | ~ (E @ 0 @ (f @ X0))
% 2.37/0.97 | (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 2.37/0.97 | (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 2.37/0.97 inference('cnf', [status(esa)], [clause_14])).
% 2.37/0.97 thf(clause_290, axiom,
% 2.37/0.97 (( ~( E @ 0 @ ( f @ ( suc @ A_2 ) ) ) ) |
% 2.37/0.97 ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ B_6 ) ) ) ) ) |
% 2.37/0.97 ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ A_2 ) ) ) ) ) |
% 2.37/0.97 ( ~( E @ 0 @ ( f @ A_2 ) ) ) |
% 2.37/0.97 ( ~( iLEQ @ ( suc @ A_2 ) @ ( suc @ B_6 ) ) ) |
% 2.37/0.97 ( ~( E @ 0 @ ( f @ B_6 ) ) ) |
% 2.37/0.97 ( ~( E @ ( f @ A_2 ) @ ( f @ ( suc @ A_2 ) ) ) ) |
% 2.37/0.97 ( ~( E @ ( f @ B_6 ) @ ( f @ ( suc @ B_6 ) ) ) ) |
% 2.37/0.97 ( ~( E @ 0 @ ( f @ ( suc @ B_6 ) ) ) ) |
% 2.37/0.97 ( E @ ( f @ A_2 ) @ ( f @ ( suc @ ( suc @ A_2 ) ) ) ) |
% 2.37/0.97 ( E @ ( f @ B_6 ) @ ( f @ ( suc @ ( suc @ B_6 ) ) ) ))).
% 2.37/0.97 thf(zip_derived_cl35, plain,
% 2.37/0.97 (![X0 : $i, X1 : $i]:
% 2.37/0.97 (~ (E @ 0 @ (f @ (suc @ X0)))
% 2.37/0.97 | ~ (E @ 0 @ (f @ (suc @ (suc @ X1))))
% 2.37/0.97 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 2.37/0.97 | ~ (E @ 0 @ (f @ X0))
% 2.37/0.97 | ~ (iLEQ @ (suc @ X0) @ (suc @ X1))
% 2.37/0.97 | ~ (E @ 0 @ (f @ X1))
% 2.37/0.97 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 2.37/0.97 | ~ (E @ (f @ X1) @ (f @ (suc @ X1)))
% 2.37/0.97 | ~ (E @ 0 @ (f @ (suc @ X1)))
% 2.37/0.97 | (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 2.37/0.97 | (E @ (f @ X1) @ (f @ (suc @ (suc @ X1)))))),
% 2.37/0.97 inference('cnf', [status(esa)], [clause_290])).
% 2.37/0.97 thf(zip_derived_cl105, plain,
% 2.37/0.97 (![X0 : $i]:
% 2.37/0.97 ( (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 2.37/0.97 | ~ (E @ 0 @ (f @ X0))
% 2.37/0.97 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 2.37/0.97 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 2.37/0.97 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 2.37/0.97 | (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 2.37/0.97 | (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 2.37/0.97 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 2.37/0.97 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 2.37/0.97 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 2.37/0.97 | ~ (E @ 0 @ (f @ X0))
% 2.37/0.97 | ~ (E @ 0 @ (f @ X0))
% 2.37/0.97 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 2.37/0.97 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 2.37/0.97 | ~ (E @ 0 @ (f @ (suc @ X0))))),
% 2.37/0.97 inference('dp-resolution', [status(thm)],
% 2.37/0.97 [zip_derived_cl6, zip_derived_cl35])).
% 2.37/0.97 thf(zip_derived_cl375, plain,
% 2.37/0.97 (![X0 : $i]:
% 2.37/0.97 (~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 2.37/0.97 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 2.37/0.97 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 2.37/0.97 | ~ (E @ 0 @ (f @ X0))
% 2.37/0.97 | (E @ (f @ X0) @ (f @ (suc @ (suc @ X0)))))),
% 2.37/0.97 inference('simplify', [status(thm)], [zip_derived_cl105])).
% 2.37/0.97 thf(clause_359, axiom,
% 2.37/0.97 (( ~( E @ 0 @ ( f @ A_2 ) ) ) | ( ~( E @ 0 @ ( f @ ( suc @ A_2 ) ) ) ) |
% 2.37/0.97 ( E @ ( f @ A_2 ) @ ( f @ ( suc @ A_2 ) ) ) |
% 2.37/0.97 ( iLEQ @ ( suc @ A_2 ) @ ( suc @ A_2 ) ))).
% 2.37/0.97 thf(zip_derived_cl40, plain,
% 2.37/0.97 (![X0 : $i]:
% 2.37/0.97 (~ (E @ 0 @ (f @ X0))
% 2.37/0.97 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 2.37/0.97 | (E @ (f @ X0) @ (f @ (suc @ X0)))
% 2.37/0.97 | (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 2.37/0.97 inference('cnf', [status(esa)], [clause_359])).
% 2.37/0.97 thf(clause_217, axiom,
% 2.37/0.97 (( ~( E @ 0 @ ( f @ ( suc @ A_2 ) ) ) ) | ( ~( E @ 0 @ ( f @ A_2 ) ) ) |
% 2.37/0.97 ( ~( iLEQ @ ( suc @ A_2 ) @ ( suc @ B_6 ) ) ) |
% 2.37/0.97 ( ~( E @ 0 @ ( f @ B_6 ) ) ) | ( ~( E @ 0 @ ( f @ ( suc @ B_6 ) ) ) ) |
% 2.37/0.97 ( E @ ( f @ A_2 ) @ ( f @ ( suc @ A_2 ) ) ) |
% 2.37/0.97 ( E @ ( f @ B_6 ) @ ( f @ ( suc @ B_6 ) ) ))).
% 2.37/0.97 thf(zip_derived_cl32, plain,
% 2.37/0.97 (![X0 : $i, X1 : $i]:
% 2.37/0.97 (~ (E @ 0 @ (f @ (suc @ X0)))
% 2.37/0.97 | ~ (E @ 0 @ (f @ X0))
% 2.37/0.97 | ~ (iLEQ @ (suc @ X0) @ (suc @ X1))
% 2.37/0.97 | ~ (E @ 0 @ (f @ X1))
% 2.37/0.97 | ~ (E @ 0 @ (f @ (suc @ X1)))
% 2.37/0.97 | (E @ (f @ X0) @ (f @ (suc @ X0)))
% 2.37/0.97 | (E @ (f @ X1) @ (f @ (suc @ X1))))),
% 2.37/0.97 inference('cnf', [status(esa)], [clause_217])).
% 2.37/0.97 thf(zip_derived_cl262, plain,
% 2.37/0.97 (![X0 : $i]:
% 2.37/0.97 ( (E @ (f @ X0) @ (f @ (suc @ X0)))
% 2.37/0.97 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 2.37/0.97 | ~ (E @ 0 @ (f @ X0))
% 2.37/0.97 | (E @ (f @ X0) @ (f @ (suc @ X0)))
% 2.37/0.97 | (E @ (f @ X0) @ (f @ (suc @ X0)))
% 2.37/0.97 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 2.37/0.97 | ~ (E @ 0 @ (f @ X0))
% 2.37/0.97 | ~ (E @ 0 @ (f @ X0))
% 2.37/0.97 | ~ (E @ 0 @ (f @ (suc @ X0))))),
% 2.37/0.97 inference('dp-resolution', [status(thm)],
% 2.37/0.97 [zip_derived_cl40, zip_derived_cl32])).
% 2.37/0.97 thf(zip_derived_cl367, plain,
% 2.37/0.97 (![X0 : $i]:
% 2.37/0.97 (~ (E @ 0 @ (f @ X0))
% 2.37/0.97 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 2.37/0.97 | (E @ (f @ X0) @ (f @ (suc @ X0))))),
% 2.37/0.97 inference('simplify', [status(thm)], [zip_derived_cl262])).
% 2.37/0.97 thf(zip_derived_cl376, plain,
% 2.37/0.97 (![X0 : $i]:
% 2.37/0.97 ( (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 2.37/0.97 | ~ (E @ 0 @ (f @ X0))
% 2.37/0.97 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 2.37/0.97 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0)))))),
% 2.37/0.97 inference('clc', [status(thm)], [zip_derived_cl375, zip_derived_cl367])).
% 2.37/0.97 thf(zip_derived_cl395, plain,
% 2.37/0.97 (![X0 : $i]:
% 2.37/0.97 (~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 2.37/0.97 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0)))))
% 2.37/0.97 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 2.37/0.97 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ (suc @ X0))))))
% 2.37/0.97 | ~ (E @ 0 @ (f @ X0))
% 2.37/0.97 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 2.37/0.97 | ~ (E @ 0 @ (f @ (suc @ X0))))),
% 2.37/0.97 inference('clc', [status(thm)], [zip_derived_cl394, zip_derived_cl376])).
% 2.37/0.97 thf(zip_derived_cl367, plain,
% 2.37/0.97 (![X0 : $i]:
% 2.37/0.97 (~ (E @ 0 @ (f @ X0))
% 2.37/0.97 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 2.37/0.97 | (E @ (f @ X0) @ (f @ (suc @ X0))))),
% 2.37/0.97 inference('simplify', [status(thm)], [zip_derived_cl262])).
% 2.37/0.97 thf(zip_derived_cl396, plain,
% 2.37/0.97 (![X0 : $i]:
% 2.37/0.97 (~ (E @ 0 @ (f @ (suc @ X0)))
% 2.37/0.97 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 2.37/0.97 | ~ (E @ 0 @ (f @ X0))
% 2.37/0.97 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ (suc @ X0))))))
% 2.37/0.97 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 2.37/0.97 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0))))))),
% 2.37/0.97 inference('clc', [status(thm)], [zip_derived_cl395, zip_derived_cl367])).
% 2.37/0.97 thf(clause_465, axiom,
% 2.37/0.97 (( ~( E @ 0 @ ( f @ ( suc @ A_2 ) ) ) ) |
% 2.37/0.97 ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ A_2 ) ) ) ) ) |
% 2.37/0.97 ( ~( E @ ( f @ A_2 ) @ ( f @ ( suc @ ( suc @ A_2 ) ) ) ) ) |
% 2.37/0.97 ( ~( E @ 0 @ ( f @ A_2 ) ) ) |
% 2.37/0.97 ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ ( suc @ A_2 ) ) ) ) ) ) |
% 2.37/0.97 ( ~( E @ ( f @ A_2 ) @ ( f @ ( suc @ A_2 ) ) ) ) |
% 2.37/0.97 ( E @ ( f @ A_2 ) @ ( f @ ( suc @ ( suc @ ( suc @ A_2 ) ) ) ) ) |
% 2.37/0.97 ( iLEQ @ ( suc @ A_2 ) @ ( suc @ A_2 ) ))).
% 2.37/0.97 thf(zip_derived_cl42, plain,
% 2.37/0.97 (![X0 : $i]:
% 2.37/0.97 (~ (E @ 0 @ (f @ (suc @ X0)))
% 2.37/0.97 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 2.37/0.97 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 2.37/0.97 | ~ (E @ 0 @ (f @ X0))
% 2.37/0.97 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0)))))
% 2.37/0.97 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 2.37/0.97 | (E @ (f @ X0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 2.37/0.97 | (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 2.37/0.97 inference('cnf', [status(esa)], [clause_465])).
% 2.37/0.97 thf(clause_347, axiom,
% 2.37/0.97 (( ~( E @ 0 @ ( f @ ( suc @ A_2 ) ) ) ) |
% 2.37/0.97 ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ B_6 ) ) ) ) ) |
% 2.37/0.97 ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ A_2 ) ) ) ) ) |
% 2.37/0.97 ( ~( E @ ( f @ A_2 ) @ ( f @ ( suc @ ( suc @ A_2 ) ) ) ) ) |
% 2.37/0.97 ( ~( E @ 0 @ ( f @ A_2 ) ) ) |
% 2.37/0.97 ( ~( iLEQ @ ( suc @ A_2 ) @ ( suc @ B_6 ) ) ) |
% 2.37/0.97 ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ ( suc @ B_6 ) ) ) ) ) ) |
% 2.37/0.97 ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ ( suc @ A_2 ) ) ) ) ) ) |
% 2.37/0.97 ( ~( E @ 0 @ ( f @ B_6 ) ) ) |
% 2.37/0.97 ( ~( E @ ( f @ B_6 ) @ ( f @ ( suc @ ( suc @ B_6 ) ) ) ) ) |
% 2.37/0.97 ( ~( E @ ( f @ A_2 ) @ ( f @ ( suc @ A_2 ) ) ) ) |
% 2.37/0.97 ( ~( E @ ( f @ B_6 ) @ ( f @ ( suc @ B_6 ) ) ) ) |
% 2.37/0.97 ( ~( E @ 0 @ ( f @ ( suc @ B_6 ) ) ) ) |
% 2.37/0.97 ( E @ ( f @ A_2 ) @ ( f @ ( suc @ ( suc @ ( suc @ A_2 ) ) ) ) ) |
% 2.37/0.97 ( E @ ( f @ B_6 ) @ ( f @ ( suc @ ( suc @ ( suc @ B_6 ) ) ) ) ))).
% 2.37/0.97 thf(zip_derived_cl36, plain,
% 2.37/0.97 (![X0 : $i, X1 : $i]:
% 2.37/0.97 (~ (E @ 0 @ (f @ (suc @ X0)))
% 2.37/0.97 | ~ (E @ 0 @ (f @ (suc @ (suc @ X1))))
% 2.37/0.97 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 2.37/0.97 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 2.37/0.97 | ~ (E @ 0 @ (f @ X0))
% 2.37/0.97 | ~ (iLEQ @ (suc @ X0) @ (suc @ X1))
% 2.37/0.97 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X1)))))
% 2.37/0.97 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0)))))
% 2.37/0.97 | ~ (E @ 0 @ (f @ X1))
% 2.37/0.97 | ~ (E @ (f @ X1) @ (f @ (suc @ (suc @ X1))))
% 2.37/0.97 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 2.37/0.97 | ~ (E @ (f @ X1) @ (f @ (suc @ X1)))
% 2.37/0.97 | ~ (E @ 0 @ (f @ (suc @ X1)))
% 2.37/0.97 | (E @ (f @ X0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 2.37/0.97 | (E @ (f @ X1) @ (f @ (suc @ (suc @ (suc @ X1))))))),
% 2.37/0.97 inference('cnf', [status(esa)], [clause_347])).
% 2.37/0.97 thf(zip_derived_cl298, plain,
% 2.37/0.97 (![X0 : $i]:
% 2.37/0.97 ( (E @ (f @ X0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 2.37/0.97 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 2.37/0.97 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0)))))
% 2.37/0.97 | ~ (E @ 0 @ (f @ X0))
% 2.37/0.97 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 2.37/0.97 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 2.37/0.97 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 2.37/0.97 | (E @ (f @ X0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 2.37/0.97 | (E @ (f @ X0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 2.37/0.97 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 2.37/0.97 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 2.37/0.97 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 2.37/0.97 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 2.37/0.97 | ~ (E @ 0 @ (f @ X0))
% 2.37/0.97 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0)))))
% 2.37/0.97 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0)))))
% 2.37/0.97 | ~ (E @ 0 @ (f @ X0))
% 2.37/0.97 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 2.37/0.97 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 2.37/0.97 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 2.37/0.97 | ~ (E @ 0 @ (f @ (suc @ X0))))),
% 2.37/0.97 inference('dp-resolution', [status(thm)],
% 2.37/0.97 [zip_derived_cl42, zip_derived_cl36])).
% 2.37/0.97 thf(zip_derived_cl391, plain,
% 2.37/0.97 (![X0 : $i]:
% 2.37/0.97 (~ (E @ 0 @ (f @ (suc @ X0)))
% 2.37/0.97 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 2.37/0.97 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 2.37/0.97 | ~ (E @ 0 @ (f @ X0))
% 2.37/0.97 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0)))))
% 2.37/0.97 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 2.37/0.97 | (E @ (f @ X0) @ (f @ (suc @ (suc @ (suc @ X0))))))),
% 2.37/0.97 inference('simplify', [status(thm)], [zip_derived_cl298])).
% 2.37/0.97 thf(zip_derived_cl376, plain,
% 2.37/0.97 (![X0 : $i]:
% 2.37/0.97 ( (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 2.37/0.97 | ~ (E @ 0 @ (f @ X0))
% 2.37/0.97 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 2.37/0.97 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0)))))),
% 2.37/0.97 inference('clc', [status(thm)], [zip_derived_cl375, zip_derived_cl367])).
% 2.37/0.97 thf(zip_derived_cl392, plain,
% 2.37/0.97 (![X0 : $i]:
% 2.37/0.97 ( (E @ (f @ X0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 2.37/0.97 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 2.37/0.97 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0)))))
% 2.37/0.97 | ~ (E @ 0 @ (f @ X0))
% 2.37/0.97 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 2.37/0.97 | ~ (E @ 0 @ (f @ (suc @ X0))))),
% 2.37/0.97 inference('clc', [status(thm)], [zip_derived_cl391, zip_derived_cl376])).
% 2.37/0.97 thf(zip_derived_cl367, plain,
% 2.37/0.97 (![X0 : $i]:
% 2.37/0.97 (~ (E @ 0 @ (f @ X0))
% 2.37/0.97 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 2.37/0.97 | (E @ (f @ X0) @ (f @ (suc @ X0))))),
% 2.37/0.97 inference('simplify', [status(thm)], [zip_derived_cl262])).
% 2.37/0.97 thf(zip_derived_cl393, plain,
% 2.37/0.97 (![X0 : $i]:
% 2.37/0.97 (~ (E @ 0 @ (f @ (suc @ X0)))
% 2.37/0.97 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 2.37/0.97 | ~ (E @ 0 @ (f @ X0))
% 2.37/0.97 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0)))))
% 2.37/0.97 | (E @ (f @ X0) @ (f @ (suc @ (suc @ (suc @ X0))))))),
% 2.37/0.97 inference('clc', [status(thm)], [zip_derived_cl392, zip_derived_cl367])).
% 2.37/0.97 thf(zip_derived_cl397, plain,
% 2.37/0.97 (![X0 : $i]:
% 2.37/0.97 (~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0)))))
% 2.37/0.97 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ (suc @ X0))))))
% 2.37/0.97 | ~ (E @ 0 @ (f @ X0))
% 2.37/0.97 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 2.37/0.97 | ~ (E @ 0 @ (f @ (suc @ X0))))),
% 2.37/0.97 inference('clc', [status(thm)], [zip_derived_cl396, zip_derived_cl393])).
% 2.37/0.97 thf(clause_91, axiom,
% 2.37/0.97 (( ~( LE @
% 2.37/0.97 ( f @ ( suc @ ( suc @ ( suc @ ( suc @ B_2 ) ) ) ) ) @
% 2.37/0.97 ( s @ ( s @ 0 ) ) ) ) |
% 2.37/0.97 ( E @ ( s @ 0 ) @ ( f @ ( suc @ ( suc @ ( suc @ ( suc @ B_2 ) ) ) ) ) ) |
% 2.37/0.97 ( LE @ ( f @ B_2 ) @ ( s @ 0 ) ))).
% 2.37/0.97 thf(zip_derived_cl11, plain,
% 2.37/0.97 (![X0 : $i]:
% 2.37/0.97 (~ (LE @ (f @ (suc @ (suc @ (suc @ (suc @ X0))))) @ (s @ (s @ 0)))
% 2.37/0.97 | (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ (suc @ X0))))))
% 2.37/0.97 | (LE @ (f @ X0) @ (s @ 0)))),
% 2.37/0.97 inference('cnf', [status(esa)], [clause_91])).
% 2.37/0.97 thf(clause_271, axiom, (LE @ ( f @ A ) @ ( s @ ( s @ 0 ) ))).
% 2.37/0.97 thf(zip_derived_cl23, plain, (![X0 : $i]: (LE @ (f @ X0) @ (s @ (s @ 0)))),
% 2.37/0.97 inference('cnf', [status(esa)], [clause_271])).
% 2.37/0.97 thf(zip_derived_cl356, plain,
% 2.37/0.97 (![X0 : $i]:
% 2.37/0.97 ( (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ (suc @ X0))))))
% 2.37/0.97 | (LE @ (f @ X0) @ (s @ 0)))),
% 2.37/0.97 inference('demod', [status(thm)], [zip_derived_cl11, zip_derived_cl23])).
% 2.37/0.97 thf(clause_112, axiom,
% 2.37/0.97 (( ~( LE @ ( f @ ( suc @ ( suc @ ( suc @ ( suc @ B_5 ) ) ) ) ) @ ( s @ 0 ) ) ) |
% 2.37/0.97 ( E @ 0 @ ( f @ ( suc @ ( suc @ ( suc @ ( suc @ B_5 ) ) ) ) ) ) |
% 2.37/0.97 ( LE @ ( f @ B_5 ) @ 0 ))).
% 2.37/0.97 thf(zip_derived_cl38, plain,
% 2.37/0.97 (![X0 : $i]:
% 2.37/0.97 (~ (LE @ (f @ (suc @ (suc @ (suc @ (suc @ X0))))) @ (s @ 0))
% 2.37/0.97 | (E @ 0 @ (f @ (suc @ (suc @ (suc @ (suc @ X0))))))
% 2.37/0.97 | (LE @ (f @ X0) @ 0))),
% 2.37/0.97 inference('cnf', [status(esa)], [clause_112])).
% 2.37/0.97 thf(zip_derived_cl360, plain,
% 2.37/0.97 (![X0 : $i]:
% 2.37/0.97 ( (E @ (s @ 0) @
% 2.37/0.97 (f @
% 2.37/0.97 (suc @ (suc @ (suc @ (suc @ (suc @ (suc @ (suc @ (suc @ X0))))))))))
% 2.37/0.97 | (LE @ (f @ X0) @ 0)
% 2.37/0.97 | (E @ 0 @ (f @ (suc @ (suc @ (suc @ (suc @ X0)))))))),
% 2.37/0.97 inference('sup-', [status(thm)], [zip_derived_cl356, zip_derived_cl38])).
% 2.37/0.97 thf(clause_332, axiom, (~( LE @ ( f @ z ) @ 0 ))).
% 2.37/0.97 thf(zip_derived_cl20, plain, (~ (LE @ (f @ z) @ 0)),
% 2.37/0.97 inference('cnf', [status(esa)], [clause_332])).
% 2.37/0.97 thf(zip_derived_cl529, plain,
% 2.37/0.97 (( (E @ 0 @ (f @ (suc @ (suc @ (suc @ (suc @ z))))))
% 2.37/0.97 | (E @ (s @ 0) @
% 2.37/0.97 (f @
% 2.37/0.97 (suc @ (suc @ (suc @ (suc @ (suc @ (suc @ (suc @ (suc @ z)))))))))))),
% 2.37/0.97 inference('sup-', [status(thm)], [zip_derived_cl360, zip_derived_cl20])).
% 2.37/0.97 thf(clause_551, axiom,
% 2.37/0.97 (( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ ( suc @ A_1 ) ) ) ) ) |
% 2.37/0.97 ( ~( E @ ( s @ 0 ) @ ( f @ A_1 ) ) ) |
% 2.37/0.97 ( ~( E @ ( f @ A_1 ) @ ( f @ ( suc @ ( suc @ ( suc @ A_1 ) ) ) ) ) ) |
% 2.37/0.97 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ A_1 ) ) ) ) |
% 2.37/0.97 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ ( suc @ ( suc @ ( suc @ A_1 ) ) ) ) ) ) ) |
% 2.37/0.97 ( ~( E @ ( f @ A_1 ) @ ( f @ ( suc @ ( suc @ A_1 ) ) ) ) ) |
% 2.37/0.97 ( ~( E @ ( f @ A_1 ) @ ( f @ ( suc @ A_1 ) ) ) ) |
% 2.37/0.97 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ ( suc @ ( suc @ A_1 ) ) ) ) ) ) |
% 2.37/0.97 ( iLEQ @ ( suc @ A_1 ) @ ( suc @ A_1 ) ))).
% 2.37/0.97 thf(zip_derived_cl25, plain,
% 2.37/0.97 (![X0 : $i]:
% 2.37/0.97 (~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 2.37/0.97 | ~ (E @ (s @ 0) @ (f @ X0))
% 2.37/0.97 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 2.37/0.97 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 2.37/0.97 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ (suc @ X0))))))
% 2.37/0.97 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 2.37/0.97 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 2.37/0.97 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 2.37/0.97 | (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 2.37/0.97 inference('cnf', [status(esa)], [clause_551])).
% 2.37/0.97 thf(clause_531, axiom,
% 2.37/0.97 (( ~( iLEQ @ ( suc @ A_1 ) @ ( suc @ B_3 ) ) ) |
% 2.37/0.97 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ ( suc @ A_1 ) ) ) ) ) |
% 2.37/0.97 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ ( suc @ ( suc @ ( suc @ B_3 ) ) ) ) ) ) ) |
% 2.37/0.97 ( ~( E @ ( s @ 0 ) @ ( f @ A_1 ) ) ) |
% 2.37/0.97 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ ( suc @ B_3 ) ) ) ) ) |
% 2.37/0.97 ( ~( E @ ( f @ A_1 ) @ ( f @ ( suc @ ( suc @ ( suc @ A_1 ) ) ) ) ) ) |
% 2.37/0.97 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ A_1 ) ) ) ) |
% 2.37/0.97 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ ( suc @ ( suc @ ( suc @ A_1 ) ) ) ) ) ) ) |
% 2.37/0.97 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ ( suc @ ( suc @ B_3 ) ) ) ) ) ) |
% 2.37/0.97 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ B_3 ) ) ) ) |
% 2.37/0.97 ( ~( E @ ( s @ 0 ) @ ( f @ B_3 ) ) ) |
% 2.37/0.97 ( ~( E @ ( f @ A_1 ) @ ( f @ ( suc @ ( suc @ A_1 ) ) ) ) ) |
% 2.37/0.97 ( ~( E @ ( f @ B_3 ) @ ( f @ ( suc @ B_3 ) ) ) ) |
% 2.37/0.97 ( ~( E @ ( f @ A_1 ) @ ( f @ ( suc @ A_1 ) ) ) ) |
% 2.37/0.97 ( ~( E @ ( f @ B_3 ) @ ( f @ ( suc @ ( suc @ ( suc @ B_3 ) ) ) ) ) ) |
% 2.37/0.97 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ ( suc @ ( suc @ A_1 ) ) ) ) ) ) |
% 2.37/0.97 ( ~( E @ ( f @ B_3 ) @ ( f @ ( suc @ ( suc @ B_3 ) ) ) ) ))).
% 2.37/0.97 thf(zip_derived_cl39, plain,
% 2.37/0.97 (![X0 : $i, X1 : $i]:
% 2.37/0.97 (~ (iLEQ @ (suc @ X0) @ (suc @ X1))
% 2.37/0.97 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 2.37/0.97 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ (suc @ X1))))))
% 2.37/0.97 | ~ (E @ (s @ 0) @ (f @ X0))
% 2.37/0.97 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X1))))
% 2.37/0.97 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 2.37/0.97 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 2.37/0.97 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ (suc @ X0))))))
% 2.37/0.97 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ X1)))))
% 2.37/0.97 | ~ (E @ (s @ 0) @ (f @ (suc @ X1)))
% 2.37/0.97 | ~ (E @ (s @ 0) @ (f @ X1))
% 2.37/0.97 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 2.37/0.97 | ~ (E @ (f @ X1) @ (f @ (suc @ X1)))
% 2.37/0.97 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 2.37/0.97 | ~ (E @ (f @ X1) @ (f @ (suc @ (suc @ (suc @ X1)))))
% 2.37/0.97 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 2.37/0.97 | ~ (E @ (f @ X1) @ (f @ (suc @ (suc @ X1)))))),
% 2.37/0.97 inference('cnf', [status(esa)], [clause_531])).
% 2.37/0.97 thf(zip_derived_cl235, plain,
% 2.37/0.97 (![X0 : $i]:
% 2.37/0.97 (~ (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 2.37/0.97 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 2.37/0.97 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 2.37/0.97 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ (suc @ X0))))))
% 2.37/0.97 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 2.37/0.97 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 2.37/0.97 | ~ (E @ (s @ 0) @ (f @ X0))
% 2.37/0.97 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 2.37/0.97 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 2.37/0.97 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 2.37/0.97 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 2.37/0.97 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 2.37/0.97 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 2.37/0.97 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 2.37/0.97 | ~ (E @ (s @ 0) @ (f @ X0))
% 2.37/0.97 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 2.37/0.97 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 2.37/0.97 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ (suc @ X0))))))
% 2.37/0.97 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 2.37/0.97 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 2.37/0.97 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 2.37/0.97 | ~ (E @ (s @ 0) @ (f @ X0))
% 2.37/0.97 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ (suc @ X0))))))
% 2.37/0.97 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0)))))),
% 2.37/0.97 inference('dp-resolution', [status(thm)],
% 2.37/0.97 [zip_derived_cl25, zip_derived_cl39])).
% 2.37/0.97 thf(zip_derived_cl407, plain,
% 2.37/0.97 (![X0 : $i]:
% 2.37/0.97 (~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 2.37/0.97 | ~ (E @ (s @ 0) @ (f @ X0))
% 2.37/0.97 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 2.37/0.97 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 2.37/0.97 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ (suc @ X0))))))
% 2.37/0.97 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 2.37/0.97 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 2.37/0.97 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ X0))))))),
% 2.37/0.97 inference('simplify', [status(thm)], [zip_derived_cl235])).
% 2.37/0.97 thf(clause_600, axiom,
% 2.37/0.97 (( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ ( suc @ A_1 ) ) ) ) ) |
% 2.37/0.97 ( ~( E @ ( s @ 0 ) @ ( f @ A_1 ) ) ) |
% 2.37/0.97 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ A_1 ) ) ) ) |
% 2.37/0.97 ( ~( E @ ( f @ A_1 ) @ ( f @ ( suc @ ( suc @ A_1 ) ) ) ) ) |
% 2.37/0.97 ( ~( E @ ( f @ A_1 ) @ ( f @ ( suc @ A_1 ) ) ) ) |
% 2.37/0.97 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ ( suc @ ( suc @ A_1 ) ) ) ) ) ) |
% 2.37/0.97 ( E @ ( f @ A_1 ) @ ( f @ ( suc @ ( suc @ ( suc @ A_1 ) ) ) ) ) |
% 2.37/0.97 ( iLEQ @ ( suc @ A_1 ) @ ( suc @ A_1 ) ))).
% 2.37/0.97 thf(zip_derived_cl7, plain,
% 2.37/0.97 (![X0 : $i]:
% 2.37/0.97 (~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 2.37/0.97 | ~ (E @ (s @ 0) @ (f @ X0))
% 2.37/0.97 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 2.37/0.97 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 2.37/0.97 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 2.37/0.97 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 2.37/0.97 | (E @ (f @ X0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 2.37/0.97 | (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 2.37/0.97 inference('cnf', [status(esa)], [clause_600])).
% 2.37/0.97 thf(clause_529, axiom,
% 2.37/0.97 (( ~( iLEQ @ ( suc @ A_1 ) @ ( suc @ B_3 ) ) ) |
% 2.37/0.97 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ ( suc @ A_1 ) ) ) ) ) |
% 2.37/0.97 ( ~( E @ ( s @ 0 ) @ ( f @ A_1 ) ) ) |
% 2.37/0.97 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ ( suc @ B_3 ) ) ) ) ) |
% 2.37/0.97 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ A_1 ) ) ) ) |
% 2.37/0.97 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ ( suc @ ( suc @ B_3 ) ) ) ) ) ) |
% 2.37/0.97 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ B_3 ) ) ) ) |
% 2.37/0.97 ( ~( E @ ( s @ 0 ) @ ( f @ B_3 ) ) ) |
% 2.37/0.97 ( ~( E @ ( f @ A_1 ) @ ( f @ ( suc @ ( suc @ A_1 ) ) ) ) ) |
% 2.37/0.97 ( ~( E @ ( f @ B_3 ) @ ( f @ ( suc @ B_3 ) ) ) ) |
% 2.37/0.97 ( ~( E @ ( f @ A_1 ) @ ( f @ ( suc @ A_1 ) ) ) ) |
% 2.37/0.97 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ ( suc @ ( suc @ A_1 ) ) ) ) ) ) |
% 2.37/0.97 ( ~( E @ ( f @ B_3 ) @ ( f @ ( suc @ ( suc @ B_3 ) ) ) ) ) |
% 2.37/0.97 ( E @ ( f @ A_1 ) @ ( f @ ( suc @ ( suc @ ( suc @ A_1 ) ) ) ) ) |
% 2.37/0.97 ( E @ ( f @ B_3 ) @ ( f @ ( suc @ ( suc @ ( suc @ B_3 ) ) ) ) ))).
% 2.37/0.97 thf(zip_derived_cl14, plain,
% 2.37/0.97 (![X0 : $i, X1 : $i]:
% 2.37/0.97 (~ (iLEQ @ (suc @ X0) @ (suc @ X1))
% 2.37/0.97 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 2.37/0.97 | ~ (E @ (s @ 0) @ (f @ X0))
% 2.37/0.97 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X1))))
% 2.37/0.97 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 2.37/0.97 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ X1)))))
% 2.37/0.97 | ~ (E @ (s @ 0) @ (f @ (suc @ X1)))
% 2.37/0.97 | ~ (E @ (s @ 0) @ (f @ X1))
% 2.37/0.97 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 2.37/0.97 | ~ (E @ (f @ X1) @ (f @ (suc @ X1)))
% 2.37/0.97 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 2.37/0.97 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 2.37/0.97 | ~ (E @ (f @ X1) @ (f @ (suc @ (suc @ X1))))
% 2.37/0.97 | (E @ (f @ X0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 2.37/0.97 | (E @ (f @ X1) @ (f @ (suc @ (suc @ (suc @ X1))))))),
% 2.37/0.97 inference('cnf', [status(esa)], [clause_529])).
% 2.37/0.97 thf(zip_derived_cl123, plain,
% 2.37/0.97 (![X0 : $i]:
% 2.37/0.97 ( (E @ (f @ X0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 2.37/0.97 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 2.37/0.97 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 2.37/0.97 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 2.37/0.97 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 2.37/0.97 | ~ (E @ (s @ 0) @ (f @ X0))
% 2.37/0.97 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 2.37/0.97 | (E @ (f @ X0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 2.37/0.97 | (E @ (f @ X0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 2.37/0.97 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 2.37/0.97 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 2.37/0.97 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 2.37/0.97 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 2.37/0.97 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 2.37/0.97 | ~ (E @ (s @ 0) @ (f @ X0))
% 2.37/0.97 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 2.37/0.97 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 2.37/0.97 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 2.37/0.97 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 2.37/0.97 | ~ (E @ (s @ 0) @ (f @ X0))
% 2.37/0.97 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0)))))),
% 2.37/0.97 inference('dp-resolution', [status(thm)],
% 2.37/0.97 [zip_derived_cl7, zip_derived_cl14])).
% 2.37/0.97 thf(zip_derived_cl401, plain,
% 2.37/0.97 (![X0 : $i]:
% 2.37/0.97 (~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 2.37/0.97 | ~ (E @ (s @ 0) @ (f @ X0))
% 2.37/0.97 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 2.37/0.97 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 2.37/0.97 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 2.37/0.97 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 2.37/0.97 | (E @ (f @ X0) @ (f @ (suc @ (suc @ (suc @ X0))))))),
% 2.37/0.97 inference('simplify', [status(thm)], [zip_derived_cl123])).
% 2.37/0.97 thf(clause_66, axiom,
% 2.37/0.97 (( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ ( suc @ A_1 ) ) ) ) ) |
% 2.37/0.97 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ A_1 ) ) ) ) |
% 2.37/0.97 ( ~( E @ ( f @ A_1 ) @ ( f @ ( suc @ A_1 ) ) ) ) |
% 2.37/0.97 ( ~( E @ ( s @ 0 ) @ ( f @ A_1 ) ) ) |
% 2.37/0.97 ( E @ ( f @ A_1 ) @ ( f @ ( suc @ ( suc @ A_1 ) ) ) ) |
% 2.37/0.97 ( iLEQ @ ( suc @ A_1 ) @ ( suc @ A_1 ) ))).
% 2.37/0.97 thf(zip_derived_cl22, plain,
% 2.37/0.97 (![X0 : $i]:
% 2.37/0.97 (~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 2.37/0.97 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 2.37/0.97 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 2.37/0.97 | ~ (E @ (s @ 0) @ (f @ X0))
% 2.37/0.97 | (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 2.37/0.97 | (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 2.37/0.97 inference('cnf', [status(esa)], [clause_66])).
% 2.37/0.97 thf(clause_162, axiom,
% 2.37/0.97 (( ~( iLEQ @ ( suc @ A_1 ) @ ( suc @ B_3 ) ) ) |
% 2.37/0.97 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ ( suc @ A_1 ) ) ) ) ) |
% 2.37/0.97 ( ~( E @ ( s @ 0 ) @ ( f @ A_1 ) ) ) |
% 2.37/0.97 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ ( suc @ B_3 ) ) ) ) ) |
% 2.37/0.97 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ A_1 ) ) ) ) |
% 2.37/0.97 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ B_3 ) ) ) ) |
% 2.37/0.97 ( ~( E @ ( s @ 0 ) @ ( f @ B_3 ) ) ) |
% 2.37/0.97 ( ~( E @ ( f @ B_3 ) @ ( f @ ( suc @ B_3 ) ) ) ) |
% 2.37/0.97 ( ~( E @ ( f @ A_1 ) @ ( f @ ( suc @ A_1 ) ) ) ) |
% 2.37/0.97 ( E @ ( f @ A_1 ) @ ( f @ ( suc @ ( suc @ A_1 ) ) ) ) |
% 2.37/0.97 ( E @ ( f @ B_3 ) @ ( f @ ( suc @ ( suc @ B_3 ) ) ) ))).
% 2.37/0.97 thf(zip_derived_cl33, plain,
% 2.37/0.97 (![X0 : $i, X1 : $i]:
% 2.37/0.97 (~ (iLEQ @ (suc @ X0) @ (suc @ X1))
% 2.37/0.97 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 2.37/0.97 | ~ (E @ (s @ 0) @ (f @ X0))
% 2.37/0.97 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X1))))
% 2.37/0.97 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 2.37/0.97 | ~ (E @ (s @ 0) @ (f @ (suc @ X1)))
% 2.37/0.97 | ~ (E @ (s @ 0) @ (f @ X1))
% 2.37/0.97 | ~ (E @ (f @ X1) @ (f @ (suc @ X1)))
% 2.37/0.97 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 2.37/0.97 | (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 2.37/0.97 | (E @ (f @ X1) @ (f @ (suc @ (suc @ X1)))))),
% 2.37/0.97 inference('cnf', [status(esa)], [clause_162])).
% 2.37/0.97 thf(zip_derived_cl199, plain,
% 2.37/0.97 (![X0 : $i]:
% 2.37/0.97 ( (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 2.37/0.97 | ~ (E @ (s @ 0) @ (f @ X0))
% 2.37/0.97 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 2.37/0.97 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 2.37/0.97 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 2.37/0.97 | (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 2.37/0.97 | (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 2.37/0.97 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 2.37/0.97 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 2.37/0.97 | ~ (E @ (s @ 0) @ (f @ X0))
% 2.37/0.97 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 2.37/0.97 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 2.37/0.97 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 2.37/0.97 | ~ (E @ (s @ 0) @ (f @ X0))
% 2.37/0.97 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0)))))),
% 2.37/0.97 inference('dp-resolution', [status(thm)],
% 2.37/0.97 [zip_derived_cl22, zip_derived_cl33])).
% 2.37/0.97 thf(zip_derived_cl389, plain,
% 2.37/0.97 (![X0 : $i]:
% 2.37/0.97 (~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 2.37/0.97 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 2.37/0.97 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 2.37/0.97 | ~ (E @ (s @ 0) @ (f @ X0))
% 2.37/0.97 | (E @ (f @ X0) @ (f @ (suc @ (suc @ X0)))))),
% 2.37/0.97 inference('simplify', [status(thm)], [zip_derived_cl199])).
% 2.37/0.97 thf(clause_307, axiom,
% 2.37/0.97 (( ~( E @ ( s @ 0 ) @ ( f @ A_1 ) ) ) |
% 2.37/0.97 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ A_1 ) ) ) ) |
% 2.37/0.97 ( E @ ( f @ A_1 ) @ ( f @ ( suc @ A_1 ) ) ) |
% 2.37/0.97 ( iLEQ @ ( suc @ A_1 ) @ ( suc @ A_1 ) ))).
% 2.37/0.97 thf(zip_derived_cl1, plain,
% 2.37/0.97 (![X0 : $i]:
% 2.37/0.97 (~ (E @ (s @ 0) @ (f @ X0))
% 2.37/0.97 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 2.37/0.97 | (E @ (f @ X0) @ (f @ (suc @ X0)))
% 2.37/0.97 | (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 2.37/0.97 inference('cnf', [status(esa)], [clause_307])).
% 2.37/0.97 thf(clause_538, axiom,
% 2.37/0.97 (( ~( iLEQ @ ( suc @ A_1 ) @ ( suc @ B_3 ) ) ) |
% 2.37/0.97 ( ~( E @ ( s @ 0 ) @ ( f @ A_1 ) ) ) |
% 2.37/0.97 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ A_1 ) ) ) ) |
% 2.37/0.97 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ B_3 ) ) ) ) |
% 2.37/0.97 ( ~( E @ ( s @ 0 ) @ ( f @ B_3 ) ) ) |
% 2.37/0.97 ( E @ ( f @ A_1 ) @ ( f @ ( suc @ A_1 ) ) ) |
% 2.37/0.97 ( E @ ( f @ B_3 ) @ ( f @ ( suc @ B_3 ) ) ))).
% 2.37/0.97 thf(zip_derived_cl12, plain,
% 2.37/0.97 (![X0 : $i, X1 : $i]:
% 2.37/0.97 (~ (iLEQ @ (suc @ X0) @ (suc @ X1))
% 2.37/0.97 | ~ (E @ (s @ 0) @ (f @ X0))
% 2.37/0.97 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 2.37/0.97 | ~ (E @ (s @ 0) @ (f @ (suc @ X1)))
% 2.37/0.97 | ~ (E @ (s @ 0) @ (f @ X1))
% 2.37/0.97 | (E @ (f @ X0) @ (f @ (suc @ X0)))
% 2.37/0.97 | (E @ (f @ X1) @ (f @ (suc @ X1))))),
% 2.37/0.97 inference('cnf', [status(esa)], [clause_538])).
% 2.37/0.97 thf(zip_derived_cl57, plain,
% 2.37/0.97 (![X0 : $i]:
% 2.37/0.97 ( (E @ (f @ X0) @ (f @ (suc @ X0)))
% 2.37/0.97 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 2.37/0.97 | ~ (E @ (s @ 0) @ (f @ X0))
% 2.37/0.97 | (E @ (f @ X0) @ (f @ (suc @ X0)))
% 2.37/0.97 | (E @ (f @ X0) @ (f @ (suc @ X0)))
% 2.37/0.97 | ~ (E @ (s @ 0) @ (f @ X0))
% 2.37/0.97 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 2.37/0.97 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 2.37/0.97 | ~ (E @ (s @ 0) @ (f @ X0)))),
% 2.37/0.97 inference('dp-resolution', [status(thm)],
% 2.37/0.97 [zip_derived_cl1, zip_derived_cl12])).
% 2.37/0.97 thf(zip_derived_cl374, plain,
% 2.37/0.97 (![X0 : $i]:
% 2.37/0.97 (~ (E @ (s @ 0) @ (f @ X0))
% 2.37/0.97 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 2.37/0.97 | (E @ (f @ X0) @ (f @ (suc @ X0))))),
% 2.37/0.97 inference('simplify', [status(thm)], [zip_derived_cl57])).
% 2.37/0.97 thf(zip_derived_cl390, plain,
% 2.37/0.97 (![X0 : $i]:
% 2.37/0.97 ( (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 2.37/0.97 | ~ (E @ (s @ 0) @ (f @ X0))
% 2.37/0.97 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 2.37/0.97 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0)))))),
% 2.37/0.97 inference('clc', [status(thm)], [zip_derived_cl389, zip_derived_cl374])).
% 2.37/0.97 thf(zip_derived_cl402, plain,
% 2.37/0.97 (![X0 : $i]:
% 2.37/0.97 ( (E @ (f @ X0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 2.37/0.97 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 2.37/0.97 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 2.37/0.97 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 2.37/0.97 | ~ (E @ (s @ 0) @ (f @ X0))
% 2.37/0.97 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0)))))),
% 2.37/0.97 inference('clc', [status(thm)], [zip_derived_cl401, zip_derived_cl390])).
% 2.37/0.97 thf(zip_derived_cl374, plain,
% 2.37/0.97 (![X0 : $i]:
% 2.37/0.97 (~ (E @ (s @ 0) @ (f @ X0))
% 2.37/0.97 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 2.37/0.97 | (E @ (f @ X0) @ (f @ (suc @ X0))))),
% 2.37/0.97 inference('simplify', [status(thm)], [zip_derived_cl57])).
% 2.37/0.97 thf(zip_derived_cl403, plain,
% 2.37/0.97 (![X0 : $i]:
% 2.37/0.97 (~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 2.37/0.97 | ~ (E @ (s @ 0) @ (f @ X0))
% 2.37/0.97 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 2.37/0.97 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 2.37/0.97 | (E @ (f @ X0) @ (f @ (suc @ (suc @ (suc @ X0))))))),
% 2.37/0.97 inference('clc', [status(thm)], [zip_derived_cl402, zip_derived_cl374])).
% 2.37/0.97 thf(zip_derived_cl408, plain,
% 2.37/0.97 (![X0 : $i]:
% 2.37/0.97 (~ (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 2.37/0.97 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 2.37/0.97 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 2.37/0.97 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ (suc @ X0))))))
% 2.37/0.97 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 2.37/0.97 | ~ (E @ (s @ 0) @ (f @ X0))
% 2.37/0.97 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0)))))),
% 2.37/0.97 inference('clc', [status(thm)], [zip_derived_cl407, zip_derived_cl403])).
% 2.37/0.97 thf(zip_derived_cl374, plain,
% 2.37/0.97 (![X0 : $i]:
% 2.37/0.97 (~ (E @ (s @ 0) @ (f @ X0))
% 2.37/0.97 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 2.37/0.97 | (E @ (f @ X0) @ (f @ (suc @ X0))))),
% 2.37/0.97 inference('simplify', [status(thm)], [zip_derived_cl57])).
% 2.37/0.97 thf(zip_derived_cl409, plain,
% 2.37/0.97 (![X0 : $i]:
% 2.37/0.97 (~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 2.37/0.97 | ~ (E @ (s @ 0) @ (f @ X0))
% 2.37/0.97 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 2.37/0.97 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ (suc @ X0))))))
% 2.37/0.97 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 2.37/0.97 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ X0))))))),
% 2.37/0.97 inference('clc', [status(thm)], [zip_derived_cl408, zip_derived_cl374])).
% 2.37/0.97 thf(zip_derived_cl390, plain,
% 2.37/0.97 (![X0 : $i]:
% 2.37/0.97 ( (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 2.37/0.97 | ~ (E @ (s @ 0) @ (f @ X0))
% 2.37/0.97 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 2.37/0.97 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0)))))),
% 2.37/0.97 inference('clc', [status(thm)], [zip_derived_cl389, zip_derived_cl374])).
% 2.37/0.97 thf(zip_derived_cl410, plain,
% 2.37/0.97 (![X0 : $i]:
% 2.37/0.97 (~ (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 2.37/0.97 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ (suc @ X0))))))
% 2.37/0.97 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 2.37/0.97 | ~ (E @ (s @ 0) @ (f @ X0))
% 2.37/0.97 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0)))))),
% 2.37/0.97 inference('clc', [status(thm)], [zip_derived_cl409, zip_derived_cl390])).
% 2.37/0.97 thf(zip_derived_cl531, plain,
% 2.37/0.97 (( (E @ 0 @ (f @ (suc @ (suc @ (suc @ (suc @ z))))))
% 2.37/0.97 | ~ (E @ (s @ 0) @
% 2.37/0.97 (f @ (suc @ (suc @ (suc @ (suc @ (suc @ (suc @ z))))))))
% 2.37/0.97 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ (suc @ z))))))
% 2.37/0.97 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ (suc @ (suc @ z)))))))
% 2.37/0.97 | ~ (E @ (s @ 0) @
% 2.37/0.97 (f @ (suc @ (suc @ (suc @ (suc @ (suc @ (suc @ (suc @ z))))))))))),
% 2.37/0.97 inference('sup-', [status(thm)], [zip_derived_cl529, zip_derived_cl410])).
% 2.37/0.97 thf(zip_derived_cl38, plain,
% 2.37/0.97 (![X0 : $i]:
% 2.37/0.97 (~ (LE @ (f @ (suc @ (suc @ (suc @ (suc @ X0))))) @ (s @ 0))
% 2.37/0.97 | (E @ 0 @ (f @ (suc @ (suc @ (suc @ (suc @ X0))))))
% 2.37/0.97 | (LE @ (f @ X0) @ 0))),
% 2.37/0.97 inference('cnf', [status(esa)], [clause_112])).
% 2.37/0.97 thf(clause_490, axiom,
% 2.37/0.97 (( ~( LE @ ( f @ ( suc @ ( suc @ B_2 ) ) ) @ ( s @ ( s @ 0 ) ) ) ) |
% 2.37/0.97 ( E @ ( s @ 0 ) @ ( f @ ( suc @ ( suc @ B_2 ) ) ) ) |
% 2.37/0.97 ( LE @ ( f @ B_2 ) @ ( s @ 0 ) ))).
% 2.37/0.97 thf(zip_derived_cl3, plain,
% 2.37/0.97 (![X0 : $i]:
% 2.37/0.97 (~ (LE @ (f @ (suc @ (suc @ X0))) @ (s @ (s @ 0)))
% 2.37/0.97 | (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 2.37/0.97 | (LE @ (f @ X0) @ (s @ 0)))),
% 2.37/0.97 inference('cnf', [status(esa)], [clause_490])).
% 2.37/0.97 thf(zip_derived_cl23, plain, (![X0 : $i]: (LE @ (f @ X0) @ (s @ (s @ 0)))),
% 2.37/0.97 inference('cnf', [status(esa)], [clause_271])).
% 2.37/0.97 thf(zip_derived_cl328, plain,
% 2.37/0.97 (![X0 : $i]:
% 2.37/0.97 ( (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 2.37/0.97 | (LE @ (f @ X0) @ (s @ 0)))),
% 2.37/0.97 inference('demod', [status(thm)], [zip_derived_cl3, zip_derived_cl23])).
% 2.37/0.97 thf(zip_derived_cl339, plain,
% 2.37/0.97 (![X0 : $i]:
% 2.37/0.97 ( (LE @ (f @ X0) @ 0)
% 2.37/0.97 | (E @ 0 @ (f @ (suc @ (suc @ (suc @ (suc @ X0))))))
% 2.37/0.97 | (E @ (s @ 0) @
% 2.37/0.97 (f @ (suc @ (suc @ (suc @ (suc @ (suc @ (suc @ X0)))))))))),
% 2.37/0.97 inference('sup+', [status(thm)], [zip_derived_cl38, zip_derived_cl328])).
% 2.37/0.97 thf(zip_derived_cl20, plain, (~ (LE @ (f @ z) @ 0)),
% 2.37/0.97 inference('cnf', [status(esa)], [clause_332])).
% 2.37/0.97 thf(zip_derived_cl481, plain,
% 2.37/0.97 (( (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ (suc @ (suc @ (suc @ z))))))))
% 2.37/0.97 | (E @ 0 @ (f @ (suc @ (suc @ (suc @ (suc @ z)))))))),
% 2.37/0.97 inference('sup-', [status(thm)], [zip_derived_cl339, zip_derived_cl20])).
% 2.37/0.97 thf(zip_derived_cl579, plain,
% 2.37/0.97 ((~ (E @ (s @ 0) @
% 2.37/0.97 (f @ (suc @ (suc @ (suc @ (suc @ (suc @ (suc @ (suc @ z)))))))))
% 2.37/0.97 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ (suc @ (suc @ z)))))))
% 2.37/0.97 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ (suc @ z))))))
% 2.37/0.97 | (E @ 0 @ (f @ (suc @ (suc @ (suc @ (suc @ z)))))))),
% 2.37/0.97 inference('clc', [status(thm)], [zip_derived_cl531, zip_derived_cl481])).
% 2.37/0.97 thf(clause_282, axiom,
% 2.37/0.97 (( ~( LE @ ( f @ ( suc @ ( suc @ ( suc @ B_2 ) ) ) ) @ ( s @ ( s @ 0 ) ) ) ) |
% 2.37/0.97 ( E @ ( s @ 0 ) @ ( f @ ( suc @ ( suc @ ( suc @ B_2 ) ) ) ) ) |
% 2.37/0.97 ( LE @ ( f @ B_2 ) @ ( s @ 0 ) ))).
% 2.37/0.97 thf(zip_derived_cl37, plain,
% 2.37/0.97 (![X0 : $i]:
% 2.37/0.97 (~ (LE @ (f @ (suc @ (suc @ (suc @ X0)))) @ (s @ (s @ 0)))
% 2.37/0.97 | (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 2.37/0.97 | (LE @ (f @ X0) @ (s @ 0)))),
% 2.37/0.97 inference('cnf', [status(esa)], [clause_282])).
% 2.37/0.97 thf(zip_derived_cl23, plain, (![X0 : $i]: (LE @ (f @ X0) @ (s @ (s @ 0)))),
% 2.37/0.97 inference('cnf', [status(esa)], [clause_271])).
% 2.37/0.97 thf(zip_derived_cl343, plain,
% 2.37/0.97 (![X0 : $i]:
% 2.37/0.97 ( (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 2.37/0.97 | (LE @ (f @ X0) @ (s @ 0)))),
% 2.37/0.97 inference('demod', [status(thm)], [zip_derived_cl37, zip_derived_cl23])).
% 2.37/0.97 thf(zip_derived_cl38, plain,
% 2.37/0.97 (![X0 : $i]:
% 2.37/0.97 (~ (LE @ (f @ (suc @ (suc @ (suc @ (suc @ X0))))) @ (s @ 0))
% 2.37/0.97 | (E @ 0 @ (f @ (suc @ (suc @ (suc @ (suc @ X0))))))
% 2.37/0.97 | (LE @ (f @ X0) @ 0))),
% 2.37/0.97 inference('cnf', [status(esa)], [clause_112])).
% 2.37/0.97 thf(zip_derived_cl347, plain,
% 2.37/0.97 (![X0 : $i]:
% 2.37/0.97 ( (E @ (s @ 0) @
% 2.37/0.97 (f @ (suc @ (suc @ (suc @ (suc @ (suc @ (suc @ (suc @ X0)))))))))
% 2.37/0.97 | (LE @ (f @ X0) @ 0)
% 2.37/0.97 | (E @ 0 @ (f @ (suc @ (suc @ (suc @ (suc @ X0)))))))),
% 2.37/0.97 inference('sup-', [status(thm)], [zip_derived_cl343, zip_derived_cl38])).
% 2.37/0.97 thf(zip_derived_cl20, plain, (~ (LE @ (f @ z) @ 0)),
% 2.37/0.97 inference('cnf', [status(esa)], [clause_332])).
% 2.37/0.97 thf(zip_derived_cl513, plain,
% 2.37/0.97 (( (E @ 0 @ (f @ (suc @ (suc @ (suc @ (suc @ z))))))
% 2.37/0.97 | (E @ (s @ 0) @
% 2.37/0.97 (f @ (suc @ (suc @ (suc @ (suc @ (suc @ (suc @ (suc @ z))))))))))),
% 2.37/0.97 inference('sup-', [status(thm)], [zip_derived_cl347, zip_derived_cl20])).
% 2.37/0.97 thf(zip_derived_cl580, plain,
% 2.37/0.97 (( (E @ 0 @ (f @ (suc @ (suc @ (suc @ (suc @ z))))))
% 2.37/0.97 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ (suc @ z))))))
% 2.37/0.97 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ (suc @ (suc @ z))))))))),
% 2.37/0.97 inference('clc', [status(thm)], [zip_derived_cl579, zip_derived_cl513])).
% 2.37/0.97 thf(zip_derived_cl38, plain,
% 2.37/0.97 (![X0 : $i]:
% 2.37/0.97 (~ (LE @ (f @ (suc @ (suc @ (suc @ (suc @ X0))))) @ (s @ 0))
% 2.37/0.97 | (E @ 0 @ (f @ (suc @ (suc @ (suc @ (suc @ X0))))))
% 2.37/0.97 | (LE @ (f @ X0) @ 0))),
% 2.37/0.97 inference('cnf', [status(esa)], [clause_112])).
% 2.37/0.97 thf(clause_200, axiom,
% 2.37/0.97 (( ~( LE @ ( f @ B_2 ) @ ( s @ ( s @ 0 ) ) ) ) |
% 2.37/0.97 ( E @ ( s @ 0 ) @ ( f @ B_2 ) ) | ( LE @ ( f @ B_2 ) @ ( s @ 0 ) ))).
% 2.37/0.97 thf(zip_derived_cl9, plain,
% 2.37/0.97 (![X0 : $i]:
% 2.37/0.97 (~ (LE @ (f @ X0) @ (s @ (s @ 0)))
% 2.37/0.97 | (E @ (s @ 0) @ (f @ X0))
% 2.37/0.97 | (LE @ (f @ X0) @ (s @ 0)))),
% 2.37/0.97 inference('cnf', [status(esa)], [clause_200])).
% 2.37/0.97 thf(zip_derived_cl23, plain, (![X0 : $i]: (LE @ (f @ X0) @ (s @ (s @ 0)))),
% 2.37/0.97 inference('cnf', [status(esa)], [clause_271])).
% 2.37/0.97 thf(zip_derived_cl308, plain,
% 2.37/0.97 (![X0 : $i]: ( (E @ (s @ 0) @ (f @ X0)) | (LE @ (f @ X0) @ (s @ 0)))),
% 2.37/0.97 inference('demod', [status(thm)], [zip_derived_cl9, zip_derived_cl23])).
% 2.37/0.97 thf(zip_derived_cl337, plain,
% 2.37/0.97 (![X0 : $i]:
% 2.37/0.97 ( (LE @ (f @ X0) @ 0)
% 2.37/0.97 | (E @ 0 @ (f @ (suc @ (suc @ (suc @ (suc @ X0))))))
% 2.37/0.97 | (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ (suc @ X0)))))))),
% 2.37/0.97 inference('sup+', [status(thm)], [zip_derived_cl38, zip_derived_cl308])).
% 2.37/0.97 thf(zip_derived_cl20, plain, (~ (LE @ (f @ z) @ 0)),
% 2.37/0.97 inference('cnf', [status(esa)], [clause_332])).
% 2.37/0.97 thf(zip_derived_cl467, plain,
% 2.37/0.97 (( (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ (suc @ z))))))
% 2.37/0.97 | (E @ 0 @ (f @ (suc @ (suc @ (suc @ (suc @ z)))))))),
% 2.37/0.97 inference('sup-', [status(thm)], [zip_derived_cl337, zip_derived_cl20])).
% 2.37/0.97 thf(zip_derived_cl581, plain,
% 2.37/0.97 ((~ (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ (suc @ (suc @ z)))))))
% 2.37/0.97 | (E @ 0 @ (f @ (suc @ (suc @ (suc @ (suc @ z)))))))),
% 2.37/0.97 inference('clc', [status(thm)], [zip_derived_cl580, zip_derived_cl467])).
% 2.37/0.97 thf(zip_derived_cl38, plain,
% 2.37/0.97 (![X0 : $i]:
% 2.37/0.97 (~ (LE @ (f @ (suc @ (suc @ (suc @ (suc @ X0))))) @ (s @ 0))
% 2.37/0.97 | (E @ 0 @ (f @ (suc @ (suc @ (suc @ (suc @ X0))))))
% 2.37/0.97 | (LE @ (f @ X0) @ 0))),
% 2.37/0.97 inference('cnf', [status(esa)], [clause_112])).
% 2.37/0.97 thf(clause_402, axiom,
% 2.37/0.97 (( ~( LE @ ( f @ ( suc @ B_2 ) ) @ ( s @ ( s @ 0 ) ) ) ) |
% 2.37/0.97 ( E @ ( s @ 0 ) @ ( f @ ( suc @ B_2 ) ) ) |
% 2.37/0.97 ( LE @ ( f @ B_2 ) @ ( s @ 0 ) ))).
% 2.37/0.97 thf(zip_derived_cl41, plain,
% 2.37/0.97 (![X0 : $i]:
% 2.37/0.97 (~ (LE @ (f @ (suc @ X0)) @ (s @ (s @ 0)))
% 2.37/0.97 | (E @ (s @ 0) @ (f @ (suc @ X0)))
% 2.37/0.97 | (LE @ (f @ X0) @ (s @ 0)))),
% 2.37/0.97 inference('cnf', [status(esa)], [clause_402])).
% 2.37/0.97 thf(zip_derived_cl23, plain, (![X0 : $i]: (LE @ (f @ X0) @ (s @ (s @ 0)))),
% 2.37/0.97 inference('cnf', [status(esa)], [clause_271])).
% 2.37/0.97 thf(zip_derived_cl319, plain,
% 2.37/0.97 (![X0 : $i]:
% 2.37/0.97 ( (E @ (s @ 0) @ (f @ (suc @ X0))) | (LE @ (f @ X0) @ (s @ 0)))),
% 2.37/0.97 inference('demod', [status(thm)], [zip_derived_cl41, zip_derived_cl23])).
% 2.37/0.97 thf(zip_derived_cl338, plain,
% 2.37/0.97 (![X0 : $i]:
% 2.37/0.97 ( (LE @ (f @ X0) @ 0)
% 2.37/0.97 | (E @ 0 @ (f @ (suc @ (suc @ (suc @ (suc @ X0))))))
% 2.37/0.97 | (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ (suc @ (suc @ X0))))))))),
% 2.37/0.97 inference('sup+', [status(thm)], [zip_derived_cl38, zip_derived_cl319])).
% 2.37/0.97 thf(zip_derived_cl20, plain, (~ (LE @ (f @ z) @ 0)),
% 2.37/0.97 inference('cnf', [status(esa)], [clause_332])).
% 2.37/0.97 thf(zip_derived_cl471, plain,
% 2.37/0.97 (( (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ (suc @ (suc @ z)))))))
% 2.37/0.97 | (E @ 0 @ (f @ (suc @ (suc @ (suc @ (suc @ z)))))))),
% 2.37/0.97 inference('sup-', [status(thm)], [zip_derived_cl338, zip_derived_cl20])).
% 2.37/0.97 thf(zip_derived_cl582, plain,
% 2.37/0.97 ( (E @ 0 @ (f @ (suc @ (suc @ (suc @ (suc @ z))))))),
% 2.37/0.97 inference('clc', [status(thm)], [zip_derived_cl581, zip_derived_cl471])).
% 2.37/0.97 thf(zip_derived_cl584, plain,
% 2.37/0.97 ((~ (E @ 0 @ (f @ (suc @ z)))
% 2.37/0.97 | ~ (E @ 0 @ (f @ (suc @ (suc @ z))))
% 2.37/0.97 | ~ (E @ 0 @ (f @ z))
% 2.37/0.97 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ z))))))),
% 2.37/0.97 inference('sup+', [status(thm)], [zip_derived_cl397, zip_derived_cl582])).
% 2.37/0.97 thf(zip_derived_cl356, plain,
% 2.37/0.97 (![X0 : $i]:
% 2.37/0.97 ( (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ (suc @ X0))))))
% 2.37/0.97 | (LE @ (f @ X0) @ (s @ 0)))),
% 2.37/0.97 inference('demod', [status(thm)], [zip_derived_cl11, zip_derived_cl23])).
% 2.37/0.97 thf(clause_460, axiom,
% 2.37/0.97 (( ~( LE @ ( f @ ( suc @ B_5 ) ) @ ( s @ 0 ) ) ) |
% 2.37/0.97 ( E @ 0 @ ( f @ ( suc @ B_5 ) ) ) | ( LE @ ( f @ B_5 ) @ 0 ))).
% 2.37/0.97 thf(zip_derived_cl18, plain,
% 2.37/0.97 (![X0 : $i]:
% 2.37/0.97 (~ (LE @ (f @ (suc @ X0)) @ (s @ 0))
% 2.37/0.97 | (E @ 0 @ (f @ (suc @ X0)))
% 2.37/0.97 | (LE @ (f @ X0) @ 0))),
% 2.37/0.97 inference('cnf', [status(esa)], [clause_460])).
% 2.37/0.97 thf(zip_derived_cl359, plain,
% 2.37/0.97 (![X0 : $i]:
% 2.37/0.97 ( (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ (suc @ (suc @ X0)))))))
% 2.37/0.97 | (LE @ (f @ X0) @ 0)
% 2.37/0.97 | (E @ 0 @ (f @ (suc @ X0))))),
% 2.37/0.97 inference('sup-', [status(thm)], [zip_derived_cl356, zip_derived_cl18])).
% 2.37/0.97 thf(zip_derived_cl20, plain, (~ (LE @ (f @ z) @ 0)),
% 2.37/0.97 inference('cnf', [status(esa)], [clause_332])).
% 2.37/0.97 thf(zip_derived_cl443, plain,
% 2.37/0.97 (( (E @ 0 @ (f @ (suc @ z)))
% 2.37/0.97 | (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ (suc @ (suc @ z))))))))),
% 2.37/0.97 inference('sup-', [status(thm)], [zip_derived_cl359, zip_derived_cl20])).
% 2.37/0.97 thf(zip_derived_cl410, plain,
% 2.37/0.97 (![X0 : $i]:
% 2.37/0.97 (~ (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 2.37/0.97 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ (suc @ X0))))))
% 2.37/0.97 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 2.37/0.97 | ~ (E @ (s @ 0) @ (f @ X0))
% 2.37/0.97 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0)))))),
% 2.37/0.97 inference('clc', [status(thm)], [zip_derived_cl409, zip_derived_cl390])).
% 2.37/0.97 thf(zip_derived_cl445, plain,
% 2.37/0.97 (( (E @ 0 @ (f @ (suc @ z)))
% 2.37/0.97 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ z)))))
% 2.37/0.97 | ~ (E @ (s @ 0) @ (f @ (suc @ z)))
% 2.37/0.97 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ z))))
% 2.37/0.97 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ (suc @ z)))))))),
% 2.37/0.97 inference('sup-', [status(thm)], [zip_derived_cl443, zip_derived_cl410])).
% 2.37/0.97 thf(zip_derived_cl328, plain,
% 2.37/0.97 (![X0 : $i]:
% 2.37/0.97 ( (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 2.37/0.97 | (LE @ (f @ X0) @ (s @ 0)))),
% 2.37/0.97 inference('demod', [status(thm)], [zip_derived_cl3, zip_derived_cl23])).
% 2.37/0.97 thf(zip_derived_cl18, plain,
% 2.37/0.97 (![X0 : $i]:
% 2.37/0.97 (~ (LE @ (f @ (suc @ X0)) @ (s @ 0))
% 2.37/0.97 | (E @ 0 @ (f @ (suc @ X0)))
% 2.37/0.97 | (LE @ (f @ X0) @ 0))),
% 2.37/0.97 inference('cnf', [status(esa)], [clause_460])).
% 2.37/0.97 thf(zip_derived_cl331, plain,
% 2.37/0.97 (![X0 : $i]:
% 2.37/0.97 ( (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 2.37/0.97 | (LE @ (f @ X0) @ 0)
% 2.37/0.97 | (E @ 0 @ (f @ (suc @ X0))))),
% 2.37/0.97 inference('sup-', [status(thm)], [zip_derived_cl328, zip_derived_cl18])).
% 2.37/0.97 thf(zip_derived_cl20, plain, (~ (LE @ (f @ z) @ 0)),
% 2.37/0.97 inference('cnf', [status(esa)], [clause_332])).
% 2.37/0.97 thf(zip_derived_cl419, plain,
% 2.37/0.97 (( (E @ 0 @ (f @ (suc @ z)))
% 2.37/0.97 | (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ z))))))),
% 2.37/0.97 inference('sup-', [status(thm)], [zip_derived_cl331, zip_derived_cl20])).
% 2.37/0.97 thf(zip_derived_cl501, plain,
% 2.37/0.97 ((~ (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ (suc @ z))))))
% 2.37/0.97 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ z))))
% 2.37/0.97 | ~ (E @ (s @ 0) @ (f @ (suc @ z)))
% 2.37/0.97 | (E @ 0 @ (f @ (suc @ z))))),
% 2.37/0.97 inference('clc', [status(thm)], [zip_derived_cl445, zip_derived_cl419])).
% 2.37/0.97 thf(zip_derived_cl343, plain,
% 2.37/0.97 (![X0 : $i]:
% 2.37/0.97 ( (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 2.37/0.97 | (LE @ (f @ X0) @ (s @ 0)))),
% 2.37/0.97 inference('demod', [status(thm)], [zip_derived_cl37, zip_derived_cl23])).
% 2.37/0.97 thf(zip_derived_cl18, plain,
% 2.37/0.97 (![X0 : $i]:
% 2.37/0.97 (~ (LE @ (f @ (suc @ X0)) @ (s @ 0))
% 2.37/0.97 | (E @ 0 @ (f @ (suc @ X0)))
% 2.37/0.97 | (LE @ (f @ X0) @ 0))),
% 2.37/0.97 inference('cnf', [status(esa)], [clause_460])).
% 2.37/0.97 thf(zip_derived_cl346, plain,
% 2.37/0.97 (![X0 : $i]:
% 2.37/0.97 ( (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ (suc @ X0))))))
% 2.37/0.97 | (LE @ (f @ X0) @ 0)
% 2.37/0.97 | (E @ 0 @ (f @ (suc @ X0))))),
% 2.37/0.97 inference('sup-', [status(thm)], [zip_derived_cl343, zip_derived_cl18])).
% 2.37/0.97 thf(zip_derived_cl20, plain, (~ (LE @ (f @ z) @ 0)),
% 2.37/0.97 inference('cnf', [status(esa)], [clause_332])).
% 2.37/0.97 thf(zip_derived_cl431, plain,
% 2.37/0.97 (( (E @ 0 @ (f @ (suc @ z)))
% 2.37/0.97 | (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ (suc @ z)))))))),
% 2.37/0.97 inference('sup-', [status(thm)], [zip_derived_cl346, zip_derived_cl20])).
% 2.37/0.97 thf(zip_derived_cl502, plain,
% 2.37/0.97 (( (E @ 0 @ (f @ (suc @ z)))
% 2.37/0.97 | ~ (E @ (s @ 0) @ (f @ (suc @ z)))
% 2.37/0.97 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ z)))))),
% 2.37/0.97 inference('clc', [status(thm)], [zip_derived_cl501, zip_derived_cl431])).
% 2.37/0.97 thf(zip_derived_cl308, plain,
% 2.37/0.97 (![X0 : $i]: ( (E @ (s @ 0) @ (f @ X0)) | (LE @ (f @ X0) @ (s @ 0)))),
% 2.37/0.97 inference('demod', [status(thm)], [zip_derived_cl9, zip_derived_cl23])).
% 2.37/0.97 thf(zip_derived_cl18, plain,
% 2.37/0.97 (![X0 : $i]:
% 2.37/0.97 (~ (LE @ (f @ (suc @ X0)) @ (s @ 0))
% 2.37/0.97 | (E @ 0 @ (f @ (suc @ X0)))
% 2.37/0.97 | (LE @ (f @ X0) @ 0))),
% 2.37/0.97 inference('cnf', [status(esa)], [clause_460])).
% 2.37/0.97 thf(zip_derived_cl310, plain,
% 2.37/0.97 (![X0 : $i]:
% 2.37/0.97 ( (E @ (s @ 0) @ (f @ (suc @ X0)))
% 2.37/0.97 | (LE @ (f @ X0) @ 0)
% 2.37/0.97 | (E @ 0 @ (f @ (suc @ X0))))),
% 2.37/0.97 inference('sup-', [status(thm)], [zip_derived_cl308, zip_derived_cl18])).
% 2.37/0.97 thf(zip_derived_cl20, plain, (~ (LE @ (f @ z) @ 0)),
% 2.37/0.97 inference('cnf', [status(esa)], [clause_332])).
% 2.37/0.97 thf(zip_derived_cl377, plain,
% 2.37/0.97 (( (E @ 0 @ (f @ (suc @ z))) | (E @ (s @ 0) @ (f @ (suc @ z))))),
% 2.37/0.97 inference('sup-', [status(thm)], [zip_derived_cl310, zip_derived_cl20])).
% 2.37/0.97 thf(zip_derived_cl503, plain,
% 2.37/0.97 ((~ (E @ (s @ 0) @ (f @ (suc @ (suc @ z)))) | (E @ 0 @ (f @ (suc @ z))))),
% 2.37/0.97 inference('clc', [status(thm)], [zip_derived_cl502, zip_derived_cl377])).
% 2.37/0.97 thf(zip_derived_cl319, plain,
% 2.37/0.97 (![X0 : $i]:
% 2.37/0.97 ( (E @ (s @ 0) @ (f @ (suc @ X0))) | (LE @ (f @ X0) @ (s @ 0)))),
% 2.37/0.97 inference('demod', [status(thm)], [zip_derived_cl41, zip_derived_cl23])).
% 2.37/0.97 thf(zip_derived_cl18, plain,
% 2.37/0.97 (![X0 : $i]:
% 2.37/0.97 (~ (LE @ (f @ (suc @ X0)) @ (s @ 0))
% 2.37/0.97 | (E @ 0 @ (f @ (suc @ X0)))
% 2.37/0.97 | (LE @ (f @ X0) @ 0))),
% 2.37/0.97 inference('cnf', [status(esa)], [clause_460])).
% 2.37/0.97 thf(zip_derived_cl322, plain,
% 2.37/0.97 (![X0 : $i]:
% 2.37/0.97 ( (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 2.37/0.97 | (LE @ (f @ X0) @ 0)
% 2.37/0.97 | (E @ 0 @ (f @ (suc @ X0))))),
% 2.37/0.97 inference('sup-', [status(thm)], [zip_derived_cl319, zip_derived_cl18])).
% 2.37/0.97 thf(zip_derived_cl20, plain, (~ (LE @ (f @ z) @ 0)),
% 2.37/0.97 inference('cnf', [status(esa)], [clause_332])).
% 2.37/0.97 thf(zip_derived_cl411, plain,
% 2.37/0.97 (( (E @ 0 @ (f @ (suc @ z))) | (E @ (s @ 0) @ (f @ (suc @ (suc @ z)))))),
% 2.37/0.97 inference('sup-', [status(thm)], [zip_derived_cl322, zip_derived_cl20])).
% 2.37/0.97 thf(zip_derived_cl504, plain, ( (E @ 0 @ (f @ (suc @ z)))),
% 2.37/0.97 inference('clc', [status(thm)], [zip_derived_cl503, zip_derived_cl411])).
% 2.37/0.97 thf(zip_derived_cl356, plain,
% 2.37/0.97 (![X0 : $i]:
% 2.37/0.97 ( (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ (suc @ X0))))))
% 2.37/0.97 | (LE @ (f @ X0) @ (s @ 0)))),
% 2.37/0.97 inference('demod', [status(thm)], [zip_derived_cl11, zip_derived_cl23])).
% 2.37/0.97 thf(clause_537, axiom,
% 2.37/0.97 (( ~( LE @ ( f @ ( suc @ ( suc @ B_5 ) ) ) @ ( s @ 0 ) ) ) |
% 2.37/0.97 ( E @ 0 @ ( f @ ( suc @ ( suc @ B_5 ) ) ) ) | ( LE @ ( f @ B_5 ) @ 0 ))).
% 2.37/0.97 thf(zip_derived_cl50, plain,
% 2.37/0.97 (![X0 : $i]:
% 2.37/0.97 (~ (LE @ (f @ (suc @ (suc @ X0))) @ (s @ 0))
% 2.37/0.97 | (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 2.37/0.97 | (LE @ (f @ X0) @ 0))),
% 2.37/0.97 inference('cnf', [status(esa)], [clause_537])).
% 2.37/0.97 thf(zip_derived_cl361, plain,
% 2.37/0.97 (![X0 : $i]:
% 2.37/0.97 ( (E @ (s @ 0) @
% 2.37/0.97 (f @ (suc @ (suc @ (suc @ (suc @ (suc @ (suc @ X0))))))))
% 2.37/0.97 | (LE @ (f @ X0) @ 0)
% 2.37/0.97 | (E @ 0 @ (f @ (suc @ (suc @ X0)))))),
% 2.37/0.97 inference('sup-', [status(thm)], [zip_derived_cl356, zip_derived_cl50])).
% 2.37/0.97 thf(zip_derived_cl20, plain, (~ (LE @ (f @ z) @ 0)),
% 2.37/0.97 inference('cnf', [status(esa)], [clause_332])).
% 2.37/0.97 thf(zip_derived_cl475, plain,
% 2.37/0.97 (( (E @ 0 @ (f @ (suc @ (suc @ z))))
% 2.37/0.97 | (E @ (s @ 0) @
% 2.37/0.97 (f @ (suc @ (suc @ (suc @ (suc @ (suc @ (suc @ z)))))))))),
% 2.37/0.97 inference('sup-', [status(thm)], [zip_derived_cl361, zip_derived_cl20])).
% 2.37/0.97 thf(zip_derived_cl410, plain,
% 2.37/0.97 (![X0 : $i]:
% 2.37/0.97 (~ (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 2.37/0.97 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ (suc @ X0))))))
% 2.37/0.97 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 2.37/0.97 | ~ (E @ (s @ 0) @ (f @ X0))
% 2.37/0.97 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0)))))),
% 2.37/0.97 inference('clc', [status(thm)], [zip_derived_cl409, zip_derived_cl390])).
% 2.37/0.97 thf(zip_derived_cl477, plain,
% 2.37/0.97 (( (E @ 0 @ (f @ (suc @ (suc @ z))))
% 2.37/0.97 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ (suc @ z))))))
% 2.37/0.97 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ z))))
% 2.37/0.97 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ z)))))
% 2.37/0.97 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ (suc @ (suc @ z))))))))),
% 2.37/0.97 inference('sup-', [status(thm)], [zip_derived_cl475, zip_derived_cl410])).
% 2.37/0.97 thf(zip_derived_cl328, plain,
% 2.37/0.97 (![X0 : $i]:
% 2.37/0.97 ( (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 2.37/0.97 | (LE @ (f @ X0) @ (s @ 0)))),
% 2.37/0.97 inference('demod', [status(thm)], [zip_derived_cl3, zip_derived_cl23])).
% 2.37/0.97 thf(zip_derived_cl50, plain,
% 2.37/0.97 (![X0 : $i]:
% 2.37/0.97 (~ (LE @ (f @ (suc @ (suc @ X0))) @ (s @ 0))
% 2.37/0.97 | (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 2.37/0.97 | (LE @ (f @ X0) @ 0))),
% 2.37/0.97 inference('cnf', [status(esa)], [clause_537])).
% 2.37/0.97 thf(zip_derived_cl332, plain,
% 2.37/0.97 (![X0 : $i]:
% 2.37/0.97 ( (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ (suc @ X0))))))
% 2.37/0.97 | (LE @ (f @ X0) @ 0)
% 2.37/0.97 | (E @ 0 @ (f @ (suc @ (suc @ X0)))))),
% 2.37/0.97 inference('sup-', [status(thm)], [zip_derived_cl328, zip_derived_cl50])).
% 2.37/0.97 thf(zip_derived_cl20, plain, (~ (LE @ (f @ z) @ 0)),
% 2.37/0.97 inference('cnf', [status(esa)], [clause_332])).
% 2.37/0.97 thf(zip_derived_cl435, plain,
% 2.37/0.97 (( (E @ 0 @ (f @ (suc @ (suc @ z))))
% 2.37/0.97 | (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ (suc @ z)))))))),
% 2.37/0.97 inference('sup-', [status(thm)], [zip_derived_cl332, zip_derived_cl20])).
% 2.37/0.97 thf(zip_derived_cl553, plain,
% 2.37/0.97 ((~ (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ (suc @ (suc @ z)))))))
% 2.37/0.97 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ z)))))
% 2.37/0.97 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ z))))
% 2.37/0.97 | (E @ 0 @ (f @ (suc @ (suc @ z)))))),
% 2.37/0.97 inference('clc', [status(thm)], [zip_derived_cl477, zip_derived_cl435])).
% 2.37/0.97 thf(zip_derived_cl343, plain,
% 2.37/0.97 (![X0 : $i]:
% 2.37/0.97 ( (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 2.37/0.97 | (LE @ (f @ X0) @ (s @ 0)))),
% 2.37/0.97 inference('demod', [status(thm)], [zip_derived_cl37, zip_derived_cl23])).
% 2.37/0.97 thf(zip_derived_cl50, plain,
% 2.37/0.97 (![X0 : $i]:
% 2.37/0.97 (~ (LE @ (f @ (suc @ (suc @ X0))) @ (s @ 0))
% 2.37/0.97 | (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 2.37/0.97 | (LE @ (f @ X0) @ 0))),
% 2.37/0.97 inference('cnf', [status(esa)], [clause_537])).
% 2.37/0.97 thf(zip_derived_cl348, plain,
% 2.37/0.97 (![X0 : $i]:
% 2.37/0.97 ( (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ (suc @ (suc @ X0)))))))
% 2.37/0.97 | (LE @ (f @ X0) @ 0)
% 2.37/0.97 | (E @ 0 @ (f @ (suc @ (suc @ X0)))))),
% 2.37/0.97 inference('sup-', [status(thm)], [zip_derived_cl343, zip_derived_cl50])).
% 2.37/0.97 thf(zip_derived_cl20, plain, (~ (LE @ (f @ z) @ 0)),
% 2.37/0.97 inference('cnf', [status(esa)], [clause_332])).
% 2.37/0.97 thf(zip_derived_cl447, plain,
% 2.37/0.97 (( (E @ 0 @ (f @ (suc @ (suc @ z))))
% 2.37/0.97 | (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ (suc @ (suc @ z))))))))),
% 2.37/0.97 inference('sup-', [status(thm)], [zip_derived_cl348, zip_derived_cl20])).
% 2.37/0.97 thf(zip_derived_cl554, plain,
% 2.37/0.97 (( (E @ 0 @ (f @ (suc @ (suc @ z))))
% 2.37/0.97 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ z))))
% 2.37/0.97 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ z))))))),
% 2.37/0.97 inference('clc', [status(thm)], [zip_derived_cl553, zip_derived_cl447])).
% 2.37/0.97 thf(zip_derived_cl50, plain,
% 2.37/0.97 (![X0 : $i]:
% 2.37/0.97 (~ (LE @ (f @ (suc @ (suc @ X0))) @ (s @ 0))
% 2.37/0.97 | (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 2.37/0.97 | (LE @ (f @ X0) @ 0))),
% 2.37/0.97 inference('cnf', [status(esa)], [clause_537])).
% 2.37/0.97 thf(zip_derived_cl308, plain,
% 2.37/0.97 (![X0 : $i]: ( (E @ (s @ 0) @ (f @ X0)) | (LE @ (f @ X0) @ (s @ 0)))),
% 2.37/0.97 inference('demod', [status(thm)], [zip_derived_cl9, zip_derived_cl23])).
% 2.37/0.97 thf(zip_derived_cl317, plain,
% 2.37/0.97 (![X0 : $i]:
% 2.37/0.97 ( (LE @ (f @ X0) @ 0)
% 2.37/0.97 | (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 2.37/0.97 | (E @ (s @ 0) @ (f @ (suc @ (suc @ X0)))))),
% 2.37/0.97 inference('sup+', [status(thm)], [zip_derived_cl50, zip_derived_cl308])).
% 2.37/0.97 thf(zip_derived_cl20, plain, (~ (LE @ (f @ z) @ 0)),
% 2.37/0.97 inference('cnf', [status(esa)], [clause_332])).
% 2.37/0.97 thf(zip_derived_cl417, plain,
% 2.37/0.97 (( (E @ (s @ 0) @ (f @ (suc @ (suc @ z))))
% 2.37/0.97 | (E @ 0 @ (f @ (suc @ (suc @ z)))))),
% 2.37/0.97 inference('sup-', [status(thm)], [zip_derived_cl317, zip_derived_cl20])).
% 2.37/0.97 thf(zip_derived_cl555, plain,
% 2.37/0.97 ((~ (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ z)))))
% 2.37/0.97 | (E @ 0 @ (f @ (suc @ (suc @ z)))))),
% 2.37/0.97 inference('clc', [status(thm)], [zip_derived_cl554, zip_derived_cl417])).
% 2.37/0.97 thf(zip_derived_cl319, plain,
% 2.37/0.97 (![X0 : $i]:
% 2.37/0.97 ( (E @ (s @ 0) @ (f @ (suc @ X0))) | (LE @ (f @ X0) @ (s @ 0)))),
% 2.37/0.97 inference('demod', [status(thm)], [zip_derived_cl41, zip_derived_cl23])).
% 2.37/0.97 thf(zip_derived_cl50, plain,
% 2.37/0.97 (![X0 : $i]:
% 2.37/0.97 (~ (LE @ (f @ (suc @ (suc @ X0))) @ (s @ 0))
% 2.37/0.97 | (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 2.37/0.97 | (LE @ (f @ X0) @ 0))),
% 2.37/0.97 inference('cnf', [status(esa)], [clause_537])).
% 2.37/0.97 thf(zip_derived_cl323, plain,
% 2.37/0.97 (![X0 : $i]:
% 2.37/0.97 ( (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 2.37/0.97 | (LE @ (f @ X0) @ 0)
% 2.37/0.97 | (E @ 0 @ (f @ (suc @ (suc @ X0)))))),
% 2.37/0.97 inference('sup-', [status(thm)], [zip_derived_cl319, zip_derived_cl50])).
% 2.37/0.97 thf(zip_derived_cl20, plain, (~ (LE @ (f @ z) @ 0)),
% 2.37/0.97 inference('cnf', [status(esa)], [clause_332])).
% 2.37/0.97 thf(zip_derived_cl425, plain,
% 2.37/0.97 (( (E @ 0 @ (f @ (suc @ (suc @ z))))
% 2.37/0.97 | (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ z))))))),
% 2.37/0.97 inference('sup-', [status(thm)], [zip_derived_cl323, zip_derived_cl20])).
% 2.37/0.97 thf(zip_derived_cl556, plain, ( (E @ 0 @ (f @ (suc @ (suc @ z))))),
% 2.37/0.97 inference('clc', [status(thm)], [zip_derived_cl555, zip_derived_cl425])).
% 2.37/0.97 thf(zip_derived_cl356, plain,
% 2.37/0.97 (![X0 : $i]:
% 2.37/0.97 ( (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ (suc @ X0))))))
% 2.37/0.97 | (LE @ (f @ X0) @ (s @ 0)))),
% 2.37/0.97 inference('demod', [status(thm)], [zip_derived_cl11, zip_derived_cl23])).
% 2.37/0.97 thf(clause_423, axiom,
% 2.37/0.97 (( ~( LE @ ( f @ B_5 ) @ ( s @ 0 ) ) ) | ( E @ 0 @ ( f @ B_5 ) ) |
% 2.37/0.97 ( LE @ ( f @ B_5 ) @ 0 ))).
% 2.37/0.97 thf(zip_derived_cl19, plain,
% 2.37/0.97 (![X0 : $i]:
% 2.37/0.97 (~ (LE @ (f @ X0) @ (s @ 0))
% 2.37/0.97 | (E @ 0 @ (f @ X0))
% 2.37/0.97 | (LE @ (f @ X0) @ 0))),
% 2.37/0.97 inference('cnf', [status(esa)], [clause_423])).
% 2.37/0.97 thf(zip_derived_cl357, plain,
% 2.37/0.97 (![X0 : $i]:
% 2.37/0.97 ( (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ (suc @ X0))))))
% 2.37/0.97 | (LE @ (f @ X0) @ 0)
% 2.37/0.97 | (E @ 0 @ (f @ X0)))),
% 2.37/0.97 inference('sup-', [status(thm)], [zip_derived_cl356, zip_derived_cl19])).
% 2.37/0.97 thf(zip_derived_cl20, plain, (~ (LE @ (f @ z) @ 0)),
% 2.37/0.97 inference('cnf', [status(esa)], [clause_332])).
% 2.37/0.97 thf(zip_derived_cl421, plain,
% 2.37/0.97 (( (E @ 0 @ (f @ z))
% 2.37/0.97 | (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ (suc @ z)))))))),
% 2.37/0.97 inference('sup-', [status(thm)], [zip_derived_cl357, zip_derived_cl20])).
% 2.37/0.97 thf(zip_derived_cl410, plain,
% 2.37/0.97 (![X0 : $i]:
% 2.37/0.97 (~ (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 2.37/0.97 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ (suc @ X0))))))
% 2.37/0.97 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 2.37/0.97 | ~ (E @ (s @ 0) @ (f @ X0))
% 2.37/0.97 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0)))))),
% 2.37/0.97 inference('clc', [status(thm)], [zip_derived_cl409, zip_derived_cl390])).
% 2.37/0.97 thf(zip_derived_cl423, plain,
% 2.37/0.97 (( (E @ 0 @ (f @ z))
% 2.37/0.97 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ z))))
% 2.37/0.97 | ~ (E @ (s @ 0) @ (f @ z))
% 2.37/0.97 | ~ (E @ (s @ 0) @ (f @ (suc @ z)))
% 2.37/0.97 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ z))))))),
% 2.37/0.97 inference('sup-', [status(thm)], [zip_derived_cl421, zip_derived_cl410])).
% 2.37/0.97 thf(zip_derived_cl328, plain,
% 2.37/0.97 (![X0 : $i]:
% 2.37/0.97 ( (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 2.37/0.97 | (LE @ (f @ X0) @ (s @ 0)))),
% 2.37/0.97 inference('demod', [status(thm)], [zip_derived_cl3, zip_derived_cl23])).
% 2.37/0.97 thf(zip_derived_cl19, plain,
% 2.37/0.97 (![X0 : $i]:
% 2.37/0.97 (~ (LE @ (f @ X0) @ (s @ 0))
% 2.37/0.97 | (E @ 0 @ (f @ X0))
% 2.37/0.97 | (LE @ (f @ X0) @ 0))),
% 2.37/0.97 inference('cnf', [status(esa)], [clause_423])).
% 2.37/0.97 thf(zip_derived_cl329, plain,
% 2.37/0.97 (![X0 : $i]:
% 2.37/0.97 ( (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 2.37/0.97 | (LE @ (f @ X0) @ 0)
% 2.37/0.97 | (E @ 0 @ (f @ X0)))),
% 2.37/0.97 inference('sup-', [status(thm)], [zip_derived_cl328, zip_derived_cl19])).
% 2.37/0.97 thf(zip_derived_cl20, plain, (~ (LE @ (f @ z) @ 0)),
% 2.37/0.97 inference('cnf', [status(esa)], [clause_332])).
% 2.37/0.97 thf(zip_derived_cl399, plain,
% 2.37/0.97 (( (E @ 0 @ (f @ z)) | (E @ (s @ 0) @ (f @ (suc @ (suc @ z)))))),
% 2.37/0.97 inference('sup-', [status(thm)], [zip_derived_cl329, zip_derived_cl20])).
% 2.37/0.97 thf(zip_derived_cl439, plain,
% 2.37/0.97 ((~ (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ z)))))
% 2.37/0.97 | ~ (E @ (s @ 0) @ (f @ (suc @ z)))
% 2.37/0.97 | ~ (E @ (s @ 0) @ (f @ z))
% 2.37/0.97 | (E @ 0 @ (f @ z)))),
% 2.37/0.97 inference('clc', [status(thm)], [zip_derived_cl423, zip_derived_cl399])).
% 2.37/0.97 thf(zip_derived_cl343, plain,
% 2.37/0.97 (![X0 : $i]:
% 2.37/0.97 ( (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 2.37/0.97 | (LE @ (f @ X0) @ (s @ 0)))),
% 2.37/0.97 inference('demod', [status(thm)], [zip_derived_cl37, zip_derived_cl23])).
% 2.37/0.97 thf(zip_derived_cl19, plain,
% 2.37/0.97 (![X0 : $i]:
% 2.37/0.97 (~ (LE @ (f @ X0) @ (s @ 0))
% 2.37/0.97 | (E @ 0 @ (f @ X0))
% 2.37/0.97 | (LE @ (f @ X0) @ 0))),
% 2.37/0.97 inference('cnf', [status(esa)], [clause_423])).
% 2.37/0.97 thf(zip_derived_cl344, plain,
% 2.37/0.97 (![X0 : $i]:
% 2.37/0.97 ( (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 2.37/0.97 | (LE @ (f @ X0) @ 0)
% 2.37/0.97 | (E @ 0 @ (f @ X0)))),
% 2.37/0.97 inference('sup-', [status(thm)], [zip_derived_cl343, zip_derived_cl19])).
% 2.37/0.97 thf(zip_derived_cl20, plain, (~ (LE @ (f @ z) @ 0)),
% 2.37/0.97 inference('cnf', [status(esa)], [clause_332])).
% 2.37/0.97 thf(zip_derived_cl413, plain,
% 2.37/0.97 (( (E @ 0 @ (f @ z)) | (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ z))))))),
% 2.37/0.97 inference('sup-', [status(thm)], [zip_derived_cl344, zip_derived_cl20])).
% 2.37/0.97 thf(zip_derived_cl440, plain,
% 2.37/0.97 (( (E @ 0 @ (f @ z))
% 2.37/0.97 | ~ (E @ (s @ 0) @ (f @ z))
% 2.37/0.97 | ~ (E @ (s @ 0) @ (f @ (suc @ z))))),
% 2.37/0.97 inference('clc', [status(thm)], [zip_derived_cl439, zip_derived_cl413])).
% 2.37/0.97 thf(zip_derived_cl308, plain,
% 2.37/0.97 (![X0 : $i]: ( (E @ (s @ 0) @ (f @ X0)) | (LE @ (f @ X0) @ (s @ 0)))),
% 2.37/0.97 inference('demod', [status(thm)], [zip_derived_cl9, zip_derived_cl23])).
% 2.37/0.97 thf(zip_derived_cl19, plain,
% 2.37/0.97 (![X0 : $i]:
% 2.37/0.97 (~ (LE @ (f @ X0) @ (s @ 0))
% 2.37/0.97 | (E @ 0 @ (f @ X0))
% 2.37/0.97 | (LE @ (f @ X0) @ 0))),
% 2.37/0.97 inference('cnf', [status(esa)], [clause_423])).
% 2.37/0.97 thf(zip_derived_cl309, plain,
% 2.37/0.97 (![X0 : $i]:
% 2.37/0.97 ( (E @ (s @ 0) @ (f @ X0))
% 2.37/0.97 | (LE @ (f @ X0) @ 0)
% 2.37/0.97 | (E @ 0 @ (f @ X0)))),
% 2.37/0.97 inference('sup-', [status(thm)], [zip_derived_cl308, zip_derived_cl19])).
% 2.37/0.97 thf(zip_derived_cl20, plain, (~ (LE @ (f @ z) @ 0)),
% 2.37/0.97 inference('cnf', [status(esa)], [clause_332])).
% 2.37/0.97 thf(zip_derived_cl315, plain,
% 2.37/0.97 (( (E @ 0 @ (f @ z)) | (E @ (s @ 0) @ (f @ z)))),
% 2.37/0.97 inference('sup-', [status(thm)], [zip_derived_cl309, zip_derived_cl20])).
% 2.37/0.97 thf(zip_derived_cl441, plain,
% 2.37/0.97 ((~ (E @ (s @ 0) @ (f @ (suc @ z))) | (E @ 0 @ (f @ z)))),
% 2.37/0.97 inference('clc', [status(thm)], [zip_derived_cl440, zip_derived_cl315])).
% 2.37/0.97 thf(zip_derived_cl319, plain,
% 2.37/0.97 (![X0 : $i]:
% 2.37/0.97 ( (E @ (s @ 0) @ (f @ (suc @ X0))) | (LE @ (f @ X0) @ (s @ 0)))),
% 2.37/0.97 inference('demod', [status(thm)], [zip_derived_cl41, zip_derived_cl23])).
% 2.37/0.97 thf(zip_derived_cl19, plain,
% 2.37/0.97 (![X0 : $i]:
% 2.37/0.97 (~ (LE @ (f @ X0) @ (s @ 0))
% 2.37/0.97 | (E @ 0 @ (f @ X0))
% 2.37/0.97 | (LE @ (f @ X0) @ 0))),
% 2.37/0.97 inference('cnf', [status(esa)], [clause_423])).
% 2.37/0.97 thf(zip_derived_cl320, plain,
% 2.37/0.97 (![X0 : $i]:
% 2.37/0.97 ( (E @ (s @ 0) @ (f @ (suc @ X0)))
% 2.37/0.97 | (LE @ (f @ X0) @ 0)
% 2.37/0.97 | (E @ 0 @ (f @ X0)))),
% 2.37/0.97 inference('sup-', [status(thm)], [zip_derived_cl319, zip_derived_cl19])).
% 2.37/0.97 thf(zip_derived_cl20, plain, (~ (LE @ (f @ z) @ 0)),
% 2.37/0.97 inference('cnf', [status(esa)], [clause_332])).
% 2.37/0.97 thf(zip_derived_cl354, plain,
% 2.37/0.97 (( (E @ 0 @ (f @ z)) | (E @ (s @ 0) @ (f @ (suc @ z))))),
% 2.37/0.97 inference('sup-', [status(thm)], [zip_derived_cl320, zip_derived_cl20])).
% 2.37/0.97 thf(zip_derived_cl442, plain, ( (E @ 0 @ (f @ z))),
% 2.37/0.97 inference('clc', [status(thm)], [zip_derived_cl441, zip_derived_cl354])).
% 2.37/0.97 thf(zip_derived_cl356, plain,
% 2.37/0.97 (![X0 : $i]:
% 2.37/0.97 ( (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ (suc @ X0))))))
% 2.37/0.97 | (LE @ (f @ X0) @ (s @ 0)))),
% 2.37/0.97 inference('demod', [status(thm)], [zip_derived_cl11, zip_derived_cl23])).
% 2.37/0.97 thf(clause_575, axiom,
% 2.37/0.97 (( ~( LE @ ( f @ ( suc @ ( suc @ ( suc @ B_5 ) ) ) ) @ ( s @ 0 ) ) ) |
% 2.37/0.97 ( E @ 0 @ ( f @ ( suc @ ( suc @ ( suc @ B_5 ) ) ) ) ) |
% 2.37/0.97 ( LE @ ( f @ B_5 ) @ 0 ))).
% 2.37/0.97 thf(zip_derived_cl2, plain,
% 2.37/0.97 (![X0 : $i]:
% 2.37/0.97 (~ (LE @ (f @ (suc @ (suc @ (suc @ X0)))) @ (s @ 0))
% 2.37/0.97 | (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0)))))
% 2.37/0.97 | (LE @ (f @ X0) @ 0))),
% 2.37/0.97 inference('cnf', [status(esa)], [clause_575])).
% 2.37/0.97 thf(zip_derived_cl358, plain,
% 2.37/0.97 (![X0 : $i]:
% 2.37/0.97 ( (E @ (s @ 0) @
% 2.37/0.97 (f @ (suc @ (suc @ (suc @ (suc @ (suc @ (suc @ (suc @ X0)))))))))
% 2.37/0.97 | (LE @ (f @ X0) @ 0)
% 2.37/0.97 | (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0))))))),
% 2.37/0.97 inference('sup-', [status(thm)], [zip_derived_cl356, zip_derived_cl2])).
% 2.37/0.97 thf(zip_derived_cl20, plain, (~ (LE @ (f @ z) @ 0)),
% 2.37/0.97 inference('cnf', [status(esa)], [clause_332])).
% 2.37/0.97 thf(zip_derived_cl509, plain,
% 2.37/0.97 (( (E @ 0 @ (f @ (suc @ (suc @ (suc @ z)))))
% 2.37/0.97 | (E @ (s @ 0) @
% 2.37/0.97 (f @ (suc @ (suc @ (suc @ (suc @ (suc @ (suc @ (suc @ z))))))))))),
% 2.37/0.97 inference('sup-', [status(thm)], [zip_derived_cl358, zip_derived_cl20])).
% 2.37/0.97 thf(zip_derived_cl410, plain,
% 2.37/0.97 (![X0 : $i]:
% 2.37/0.97 (~ (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 2.37/0.97 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ (suc @ X0))))))
% 2.37/0.97 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 2.37/0.97 | ~ (E @ (s @ 0) @ (f @ X0))
% 2.37/0.97 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0)))))),
% 2.37/0.97 inference('clc', [status(thm)], [zip_derived_cl409, zip_derived_cl390])).
% 2.37/0.97 thf(zip_derived_cl511, plain,
% 2.37/0.97 (( (E @ 0 @ (f @ (suc @ (suc @ (suc @ z)))))
% 2.37/0.97 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ (suc @ (suc @ z)))))))
% 2.37/0.97 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ z)))))
% 2.37/0.97 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ (suc @ z))))))
% 2.37/0.97 | ~ (E @ (s @ 0) @
% 2.37/0.97 (f @ (suc @ (suc @ (suc @ (suc @ (suc @ (suc @ z)))))))))),
% 2.37/0.97 inference('sup-', [status(thm)], [zip_derived_cl509, zip_derived_cl410])).
% 2.37/0.97 thf(zip_derived_cl328, plain,
% 2.37/0.97 (![X0 : $i]:
% 2.37/0.97 ( (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 2.37/0.97 | (LE @ (f @ X0) @ (s @ 0)))),
% 2.37/0.97 inference('demod', [status(thm)], [zip_derived_cl3, zip_derived_cl23])).
% 2.37/0.97 thf(zip_derived_cl2, plain,
% 2.37/0.97 (![X0 : $i]:
% 2.37/0.97 (~ (LE @ (f @ (suc @ (suc @ (suc @ X0)))) @ (s @ 0))
% 2.37/0.97 | (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0)))))
% 2.37/0.97 | (LE @ (f @ X0) @ 0))),
% 2.37/0.97 inference('cnf', [status(esa)], [clause_575])).
% 2.37/0.97 thf(zip_derived_cl330, plain,
% 2.37/0.97 (![X0 : $i]:
% 2.37/0.97 ( (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ (suc @ (suc @ X0)))))))
% 2.37/0.97 | (LE @ (f @ X0) @ 0)
% 2.37/0.97 | (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0))))))),
% 2.37/0.97 inference('sup-', [status(thm)], [zip_derived_cl328, zip_derived_cl2])).
% 2.37/0.97 thf(zip_derived_cl20, plain, (~ (LE @ (f @ z) @ 0)),
% 2.37/0.97 inference('cnf', [status(esa)], [clause_332])).
% 2.37/0.97 thf(zip_derived_cl451, plain,
% 2.37/0.97 (( (E @ 0 @ (f @ (suc @ (suc @ (suc @ z)))))
% 2.37/0.97 | (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ (suc @ (suc @ z))))))))),
% 2.37/0.97 inference('sup-', [status(thm)], [zip_derived_cl330, zip_derived_cl20])).
% 2.37/0.97 thf(zip_derived_cl569, plain,
% 2.37/0.97 ((~ (E @ (s @ 0) @
% 2.37/0.97 (f @ (suc @ (suc @ (suc @ (suc @ (suc @ (suc @ z))))))))
% 2.37/0.97 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ (suc @ z))))))
% 2.37/0.97 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ z)))))
% 2.37/0.97 | (E @ 0 @ (f @ (suc @ (suc @ (suc @ z))))))),
% 2.37/0.97 inference('clc', [status(thm)], [zip_derived_cl511, zip_derived_cl451])).
% 2.37/0.97 thf(zip_derived_cl343, plain,
% 2.37/0.97 (![X0 : $i]:
% 2.37/0.97 ( (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 2.37/0.97 | (LE @ (f @ X0) @ (s @ 0)))),
% 2.37/0.97 inference('demod', [status(thm)], [zip_derived_cl37, zip_derived_cl23])).
% 2.37/0.97 thf(zip_derived_cl2, plain,
% 2.37/0.97 (![X0 : $i]:
% 2.37/0.97 (~ (LE @ (f @ (suc @ (suc @ (suc @ X0)))) @ (s @ 0))
% 2.37/0.97 | (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0)))))
% 2.37/0.97 | (LE @ (f @ X0) @ 0))),
% 2.37/0.97 inference('cnf', [status(esa)], [clause_575])).
% 2.37/0.97 thf(zip_derived_cl345, plain,
% 2.37/0.97 (![X0 : $i]:
% 2.37/0.97 ( (E @ (s @ 0) @
% 2.37/0.97 (f @ (suc @ (suc @ (suc @ (suc @ (suc @ (suc @ X0))))))))
% 2.37/0.97 | (LE @ (f @ X0) @ 0)
% 2.37/0.97 | (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0))))))),
% 2.37/0.97 inference('sup-', [status(thm)], [zip_derived_cl343, zip_derived_cl2])).
% 2.37/0.97 thf(zip_derived_cl20, plain, (~ (LE @ (f @ z) @ 0)),
% 2.37/0.97 inference('cnf', [status(esa)], [clause_332])).
% 2.37/0.97 thf(zip_derived_cl496, plain,
% 2.37/0.97 (( (E @ 0 @ (f @ (suc @ (suc @ (suc @ z)))))
% 2.37/0.97 | (E @ (s @ 0) @
% 2.37/0.97 (f @ (suc @ (suc @ (suc @ (suc @ (suc @ (suc @ z)))))))))),
% 2.37/0.97 inference('sup-', [status(thm)], [zip_derived_cl345, zip_derived_cl20])).
% 2.37/0.97 thf(zip_derived_cl570, plain,
% 2.37/0.97 (( (E @ 0 @ (f @ (suc @ (suc @ (suc @ z)))))
% 2.37/0.97 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ z)))))
% 2.37/0.97 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ (suc @ z)))))))),
% 2.37/0.97 inference('clc', [status(thm)], [zip_derived_cl569, zip_derived_cl496])).
% 2.37/0.97 thf(zip_derived_cl2, plain,
% 2.37/0.97 (![X0 : $i]:
% 2.37/0.97 (~ (LE @ (f @ (suc @ (suc @ (suc @ X0)))) @ (s @ 0))
% 2.37/0.97 | (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0)))))
% 2.37/0.97 | (LE @ (f @ X0) @ 0))),
% 2.37/0.97 inference('cnf', [status(esa)], [clause_575])).
% 2.37/0.97 thf(zip_derived_cl308, plain,
% 2.37/0.97 (![X0 : $i]: ( (E @ (s @ 0) @ (f @ X0)) | (LE @ (f @ X0) @ (s @ 0)))),
% 2.37/0.97 inference('demod', [status(thm)], [zip_derived_cl9, zip_derived_cl23])).
% 2.37/0.97 thf(zip_derived_cl313, plain,
% 2.37/0.97 (![X0 : $i]:
% 2.37/0.97 ( (LE @ (f @ X0) @ 0)
% 2.37/0.97 | (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0)))))
% 2.37/0.97 | (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ X0))))))),
% 2.37/0.97 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl308])).
% 2.37/0.97 thf(zip_derived_cl20, plain, (~ (LE @ (f @ z) @ 0)),
% 2.37/0.97 inference('cnf', [status(esa)], [clause_332])).
% 2.37/0.97 thf(zip_derived_cl415, plain,
% 2.37/0.97 (( (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ z)))))
% 2.37/0.97 | (E @ 0 @ (f @ (suc @ (suc @ (suc @ z))))))),
% 2.37/0.97 inference('sup-', [status(thm)], [zip_derived_cl313, zip_derived_cl20])).
% 2.37/0.97 thf(zip_derived_cl571, plain,
% 2.37/0.97 ((~ (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ (suc @ z))))))
% 2.37/0.97 | (E @ 0 @ (f @ (suc @ (suc @ (suc @ z))))))),
% 2.37/0.97 inference('clc', [status(thm)], [zip_derived_cl570, zip_derived_cl415])).
% 2.37/0.97 thf(zip_derived_cl319, plain,
% 2.37/0.97 (![X0 : $i]:
% 2.37/0.97 ( (E @ (s @ 0) @ (f @ (suc @ X0))) | (LE @ (f @ X0) @ (s @ 0)))),
% 2.37/0.97 inference('demod', [status(thm)], [zip_derived_cl41, zip_derived_cl23])).
% 2.37/0.97 thf(zip_derived_cl2, plain,
% 2.37/0.97 (![X0 : $i]:
% 2.37/0.97 (~ (LE @ (f @ (suc @ (suc @ (suc @ X0)))) @ (s @ 0))
% 2.37/0.97 | (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0)))))
% 2.37/0.97 | (LE @ (f @ X0) @ 0))),
% 2.37/0.97 inference('cnf', [status(esa)], [clause_575])).
% 2.37/0.97 thf(zip_derived_cl321, plain,
% 2.37/0.97 (![X0 : $i]:
% 2.37/0.97 ( (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ (suc @ X0))))))
% 2.37/0.97 | (LE @ (f @ X0) @ 0)
% 2.37/0.97 | (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0))))))),
% 2.37/0.97 inference('sup-', [status(thm)], [zip_derived_cl319, zip_derived_cl2])).
% 2.37/0.97 thf(zip_derived_cl20, plain, (~ (LE @ (f @ z) @ 0)),
% 2.37/0.97 inference('cnf', [status(esa)], [clause_332])).
% 2.37/0.97 thf(zip_derived_cl427, plain,
% 2.37/0.97 (( (E @ 0 @ (f @ (suc @ (suc @ (suc @ z)))))
% 2.37/0.97 | (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ (suc @ z)))))))),
% 2.37/0.97 inference('sup-', [status(thm)], [zip_derived_cl321, zip_derived_cl20])).
% 2.37/0.97 thf(zip_derived_cl572, plain, ( (E @ 0 @ (f @ (suc @ (suc @ (suc @ z)))))),
% 2.37/0.97 inference('clc', [status(thm)], [zip_derived_cl571, zip_derived_cl427])).
% 2.37/0.97 thf(zip_derived_cl585, plain, ($false),
% 2.37/0.97 inference('demod', [status(thm)],
% 2.37/0.97 [zip_derived_cl584, zip_derived_cl504, zip_derived_cl556,
% 2.37/0.97 zip_derived_cl442, zip_derived_cl572])).
% 2.37/0.97
% 2.37/0.97 % SZS output end Refutation
% 2.37/0.97
% 2.37/0.97
% 2.37/0.97 % /export/starexec/sandbox/solver/bin/fo/fo17_bce.sh running for 50s
% 2.37/0.98 % Terminating...
% 2.82/1.05 % Runner terminated.
% 2.82/1.06 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------