%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYO658-1 : 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.psX7g0BRhu true
% Computer : n028.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 0.54s 0.82s
% Output : Refutation 0.54s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYO658-1 : TPTP v9.2.0. Released v7.3.0.
% 0.03/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.psX7g0BRhu true
% 0.13/0.33 % Computer : n028.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Wed Oct 1 18:13:53 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
% 0.13/0.34 % Number of cores: 8
% 0.13/0.34 % Python version: Python 3.6.8
% 0.13/0.34 % Running in FO mode
% 0.48/0.62 % Total configuration time : 435
% 0.48/0.62 % Estimated wc time : 1092
% 0.48/0.62 % Estimated cpu time (7 cpus) : 156.0
% 0.53/0.67 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.53/0.70 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.53/0.71 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.54/0.72 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.54/0.73 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.54/0.73 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.54/0.73 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.54/0.82 % Solved by fo/fo3_bce.sh.
% 0.54/0.82 % BCE start: 34
% 0.54/0.82 % BCE eliminated: 0
% 0.54/0.82 % PE start: 34
% 0.54/0.82 logic: neq
% 0.54/0.82 % PE eliminated: 12
% 0.54/0.82 % done 112 iterations in 0.080s
% 0.54/0.82 % SZS status Unsatisfiable for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.54/0.82 % SZS output start Refutation
% 0.54/0.82 thf(LE_type, type, LE: $i > $i > $o).
% 0.54/0.82 thf(suc_type, type, suc: $i > $i).
% 0.54/0.82 thf(f_type, type, f: $i > $i).
% 0.54/0.82 thf(iLEQ_type, type, iLEQ: $i > $i > $o).
% 0.54/0.82 thf(s_type, type, s: $i > $i).
% 0.54/0.82 thf(0_type, type, 0: $i).
% 0.54/0.82 thf(E_type, type, E: $i > $i > $o).
% 0.54/0.82 thf(z_type, type, z: $i).
% 0.54/0.82 thf(clause_139, axiom,
% 0.54/0.82 (( ~( E @ 0 @ ( f @ ( suc @ A_2 ) ) ) ) |
% 0.54/0.82 ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ A_2 ) ) ) ) ) |
% 0.54/0.82 ( ~( E @ ( f @ A_2 ) @ ( f @ ( suc @ ( suc @ A_2 ) ) ) ) ) |
% 0.54/0.82 ( ~( E @ 0 @ ( f @ A_2 ) ) ) |
% 0.54/0.82 ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ ( suc @ A_2 ) ) ) ) ) ) |
% 0.54/0.82 ( ~( E @ ( f @ A_2 ) @ ( f @ ( suc @ A_2 ) ) ) ) |
% 0.54/0.82 ( iLEQ @ ( suc @ A_2 ) @ ( suc @ A_2 ) ))).
% 0.54/0.82 thf(zip_derived_cl16, plain,
% 0.54/0.82 (![X0 : $i]:
% 0.54/0.82 (~ (E @ 0 @ (f @ (suc @ X0)))
% 0.54/0.82 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 0.54/0.82 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 0.54/0.82 | ~ (E @ 0 @ (f @ X0))
% 0.54/0.82 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0)))))
% 0.54/0.82 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.54/0.82 | (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 0.54/0.82 inference('cnf', [status(esa)], [clause_139])).
% 0.54/0.82 thf(clause_167, axiom,
% 0.54/0.82 (( ~( E @ 0 @ ( f @ ( suc @ A_2 ) ) ) ) |
% 0.54/0.82 ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ B_6 ) ) ) ) ) |
% 0.54/0.82 ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ A_2 ) ) ) ) ) |
% 0.54/0.82 ( ~( E @ ( f @ A_2 ) @ ( f @ ( suc @ ( suc @ A_2 ) ) ) ) ) |
% 0.54/0.82 ( ~( E @ 0 @ ( f @ A_2 ) ) ) |
% 0.54/0.82 ( ~( iLEQ @ ( suc @ A_2 ) @ ( suc @ B_6 ) ) ) |
% 0.54/0.82 ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ ( suc @ B_6 ) ) ) ) ) ) |
% 0.54/0.82 ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ ( suc @ A_2 ) ) ) ) ) ) |
% 0.54/0.82 ( ~( E @ 0 @ ( f @ B_6 ) ) ) |
% 0.54/0.82 ( ~( E @ ( f @ B_6 ) @ ( f @ ( suc @ ( suc @ B_6 ) ) ) ) ) |
% 0.54/0.82 ( ~( E @ ( f @ A_2 ) @ ( f @ ( suc @ A_2 ) ) ) ) |
% 0.54/0.82 ( ~( E @ ( f @ B_6 ) @ ( f @ ( suc @ B_6 ) ) ) ) |
% 0.54/0.82 ( ~( E @ 0 @ ( f @ ( suc @ B_6 ) ) ) ))).
% 0.54/0.82 thf(zip_derived_cl0, plain,
% 0.54/0.82 (![X0 : $i, X1 : $i]:
% 0.54/0.82 (~ (E @ 0 @ (f @ (suc @ X0)))
% 0.54/0.82 | ~ (E @ 0 @ (f @ (suc @ (suc @ X1))))
% 0.54/0.82 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 0.54/0.82 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 0.54/0.82 | ~ (E @ 0 @ (f @ X0))
% 0.54/0.82 | ~ (iLEQ @ (suc @ X0) @ (suc @ X1))
% 0.54/0.82 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X1)))))
% 0.54/0.82 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0)))))
% 0.54/0.82 | ~ (E @ 0 @ (f @ X1))
% 0.54/0.82 | ~ (E @ (f @ X1) @ (f @ (suc @ (suc @ X1))))
% 0.54/0.82 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.54/0.82 | ~ (E @ (f @ X1) @ (f @ (suc @ X1)))
% 0.54/0.82 | ~ (E @ 0 @ (f @ (suc @ X1))))),
% 0.54/0.82 inference('cnf', [status(esa)], [clause_167])).
% 0.54/0.82 thf(zip_derived_cl70, plain,
% 0.54/0.82 (![X0 : $i]:
% 0.54/0.82 (~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.54/0.82 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0)))))
% 0.54/0.82 | ~ (E @ 0 @ (f @ X0))
% 0.54/0.82 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 0.54/0.82 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 0.54/0.82 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.54/0.82 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.54/0.82 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.54/0.82 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.54/0.82 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 0.54/0.82 | ~ (E @ 0 @ (f @ X0))
% 0.54/0.82 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0)))))
% 0.54/0.82 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0)))))
% 0.54/0.82 | ~ (E @ 0 @ (f @ X0))
% 0.54/0.82 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 0.54/0.82 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 0.54/0.82 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 0.54/0.82 | ~ (E @ 0 @ (f @ (suc @ X0))))),
% 0.54/0.82 inference('dp-resolution', [status(thm)],
% 0.54/0.82 [zip_derived_cl16, zip_derived_cl0])).
% 0.54/0.82 thf(zip_derived_cl193, plain,
% 0.54/0.82 (![X0 : $i]:
% 0.54/0.82 (~ (E @ 0 @ (f @ (suc @ X0)))
% 0.54/0.82 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 0.54/0.82 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 0.54/0.82 | ~ (E @ 0 @ (f @ X0))
% 0.54/0.82 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0)))))
% 0.54/0.82 | ~ (E @ (f @ X0) @ (f @ (suc @ X0))))),
% 0.54/0.82 inference('simplify', [status(thm)], [zip_derived_cl70])).
% 0.54/0.82 thf(clause_4, axiom,
% 0.54/0.82 (( ~( E @ 0 @ ( f @ ( suc @ ( suc @ A_2 ) ) ) ) ) |
% 0.54/0.82 ( ~( E @ 0 @ ( f @ ( suc @ A_2 ) ) ) ) |
% 0.54/0.82 ( ~( E @ ( f @ A_2 ) @ ( f @ ( suc @ A_2 ) ) ) ) |
% 0.54/0.82 ( ~( E @ 0 @ ( f @ A_2 ) ) ) |
% 0.54/0.82 ( E @ ( f @ A_2 ) @ ( f @ ( suc @ ( suc @ A_2 ) ) ) ) |
% 0.54/0.82 ( iLEQ @ ( suc @ A_2 ) @ ( suc @ A_2 ) ))).
% 0.54/0.82 thf(zip_derived_cl9, plain,
% 0.54/0.82 (![X0 : $i]:
% 0.54/0.82 (~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 0.54/0.82 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.54/0.82 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.54/0.82 | ~ (E @ 0 @ (f @ X0))
% 0.54/0.82 | (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 0.54/0.82 | (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 0.54/0.82 inference('cnf', [status(esa)], [clause_4])).
% 0.54/0.82 thf(clause_78, axiom,
% 0.54/0.82 (( ~( E @ 0 @ ( f @ ( suc @ A_2 ) ) ) ) |
% 0.54/0.82 ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ B_6 ) ) ) ) ) |
% 0.54/0.82 ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ A_2 ) ) ) ) ) |
% 0.54/0.82 ( ~( E @ 0 @ ( f @ A_2 ) ) ) |
% 0.54/0.82 ( ~( iLEQ @ ( suc @ A_2 ) @ ( suc @ B_6 ) ) ) |
% 0.54/0.82 ( ~( E @ 0 @ ( f @ B_6 ) ) ) |
% 0.54/0.82 ( ~( E @ ( f @ A_2 ) @ ( f @ ( suc @ A_2 ) ) ) ) |
% 0.54/0.82 ( ~( E @ ( f @ B_6 ) @ ( f @ ( suc @ B_6 ) ) ) ) |
% 0.54/0.82 ( ~( E @ 0 @ ( f @ ( suc @ B_6 ) ) ) ) |
% 0.54/0.82 ( E @ ( f @ A_2 ) @ ( f @ ( suc @ ( suc @ A_2 ) ) ) ) |
% 0.54/0.82 ( E @ ( f @ B_6 ) @ ( f @ ( suc @ ( suc @ B_6 ) ) ) ))).
% 0.54/0.82 thf(zip_derived_cl8, plain,
% 0.54/0.82 (![X0 : $i, X1 : $i]:
% 0.54/0.82 (~ (E @ 0 @ (f @ (suc @ X0)))
% 0.54/0.82 | ~ (E @ 0 @ (f @ (suc @ (suc @ X1))))
% 0.54/0.82 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 0.54/0.82 | ~ (E @ 0 @ (f @ X0))
% 0.54/0.82 | ~ (iLEQ @ (suc @ X0) @ (suc @ X1))
% 0.54/0.82 | ~ (E @ 0 @ (f @ X1))
% 0.54/0.82 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.54/0.82 | ~ (E @ (f @ X1) @ (f @ (suc @ X1)))
% 0.54/0.82 | ~ (E @ 0 @ (f @ (suc @ X1)))
% 0.54/0.82 | (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 0.54/0.82 | (E @ (f @ X1) @ (f @ (suc @ (suc @ X1)))))),
% 0.54/0.82 inference('cnf', [status(esa)], [clause_78])).
% 0.54/0.82 thf(zip_derived_cl55, plain,
% 0.54/0.82 (![X0 : $i]:
% 0.54/0.82 ( (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 0.54/0.82 | ~ (E @ 0 @ (f @ X0))
% 0.54/0.82 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.54/0.82 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.54/0.82 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 0.54/0.82 | (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 0.54/0.82 | (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 0.54/0.82 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.54/0.82 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.54/0.82 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.54/0.82 | ~ (E @ 0 @ (f @ X0))
% 0.54/0.82 | ~ (E @ 0 @ (f @ X0))
% 0.54/0.82 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 0.54/0.82 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 0.54/0.82 | ~ (E @ 0 @ (f @ (suc @ X0))))),
% 0.54/0.82 inference('dp-resolution', [status(thm)],
% 0.54/0.82 [zip_derived_cl9, zip_derived_cl8])).
% 0.54/0.82 thf(zip_derived_cl191, plain,
% 0.54/0.82 (![X0 : $i]:
% 0.54/0.82 (~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 0.54/0.82 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.54/0.82 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.54/0.82 | ~ (E @ 0 @ (f @ X0))
% 0.54/0.82 | (E @ (f @ X0) @ (f @ (suc @ (suc @ X0)))))),
% 0.54/0.82 inference('simplify', [status(thm)], [zip_derived_cl55])).
% 0.54/0.82 thf(clause_93, axiom,
% 0.54/0.82 (( ~( E @ 0 @ ( f @ A_2 ) ) ) | ( ~( E @ 0 @ ( f @ ( suc @ A_2 ) ) ) ) |
% 0.54/0.82 ( E @ ( f @ A_2 ) @ ( f @ ( suc @ A_2 ) ) ) |
% 0.54/0.82 ( iLEQ @ ( suc @ A_2 ) @ ( suc @ A_2 ) ))).
% 0.54/0.82 thf(zip_derived_cl32, plain,
% 0.54/0.82 (![X0 : $i]:
% 0.54/0.82 (~ (E @ 0 @ (f @ X0))
% 0.54/0.82 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.54/0.82 | (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.54/0.82 | (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 0.54/0.82 inference('cnf', [status(esa)], [clause_93])).
% 0.54/0.82 thf(clause_55, axiom,
% 0.54/0.82 (( ~( E @ 0 @ ( f @ ( suc @ A_2 ) ) ) ) | ( ~( E @ 0 @ ( f @ A_2 ) ) ) |
% 0.54/0.82 ( ~( iLEQ @ ( suc @ A_2 ) @ ( suc @ B_6 ) ) ) |
% 0.54/0.82 ( ~( E @ 0 @ ( f @ B_6 ) ) ) | ( ~( E @ 0 @ ( f @ ( suc @ B_6 ) ) ) ) |
% 0.54/0.82 ( E @ ( f @ A_2 ) @ ( f @ ( suc @ A_2 ) ) ) |
% 0.54/0.82 ( E @ ( f @ B_6 ) @ ( f @ ( suc @ B_6 ) ) ))).
% 0.54/0.82 thf(zip_derived_cl28, plain,
% 0.54/0.82 (![X0 : $i, X1 : $i]:
% 0.54/0.82 (~ (E @ 0 @ (f @ (suc @ X0)))
% 0.54/0.82 | ~ (E @ 0 @ (f @ X0))
% 0.54/0.82 | ~ (iLEQ @ (suc @ X0) @ (suc @ X1))
% 0.54/0.82 | ~ (E @ 0 @ (f @ X1))
% 0.54/0.82 | ~ (E @ 0 @ (f @ (suc @ X1)))
% 0.54/0.82 | (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.54/0.82 | (E @ (f @ X1) @ (f @ (suc @ X1))))),
% 0.54/0.82 inference('cnf', [status(esa)], [clause_55])).
% 0.54/0.82 thf(zip_derived_cl121, plain,
% 0.54/0.82 (![X0 : $i]:
% 0.54/0.82 ( (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.54/0.82 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.54/0.82 | ~ (E @ 0 @ (f @ X0))
% 0.54/0.82 | (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.54/0.82 | (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.54/0.82 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.54/0.82 | ~ (E @ 0 @ (f @ X0))
% 0.54/0.82 | ~ (E @ 0 @ (f @ X0))
% 0.54/0.82 | ~ (E @ 0 @ (f @ (suc @ X0))))),
% 0.54/0.82 inference('dp-resolution', [status(thm)],
% 0.54/0.82 [zip_derived_cl32, zip_derived_cl28])).
% 0.54/0.82 thf(zip_derived_cl180, plain,
% 0.54/0.82 (![X0 : $i]:
% 0.54/0.82 (~ (E @ 0 @ (f @ X0))
% 0.54/0.82 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.54/0.82 | (E @ (f @ X0) @ (f @ (suc @ X0))))),
% 0.54/0.82 inference('simplify', [status(thm)], [zip_derived_cl121])).
% 0.54/0.82 thf(zip_derived_cl192, plain,
% 0.54/0.82 (![X0 : $i]:
% 0.54/0.82 ( (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 0.54/0.82 | ~ (E @ 0 @ (f @ X0))
% 0.54/0.82 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.54/0.82 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0)))))),
% 0.54/0.82 inference('clc', [status(thm)], [zip_derived_cl191, zip_derived_cl180])).
% 0.54/0.82 thf(zip_derived_cl194, plain,
% 0.54/0.82 (![X0 : $i]:
% 0.54/0.82 (~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.54/0.82 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0)))))
% 0.54/0.82 | ~ (E @ 0 @ (f @ X0))
% 0.54/0.82 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 0.54/0.82 | ~ (E @ 0 @ (f @ (suc @ X0))))),
% 0.54/0.82 inference('clc', [status(thm)], [zip_derived_cl193, zip_derived_cl192])).
% 0.54/0.82 thf(zip_derived_cl180, plain,
% 0.54/0.82 (![X0 : $i]:
% 0.54/0.82 (~ (E @ 0 @ (f @ X0))
% 0.54/0.82 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.54/0.82 | (E @ (f @ X0) @ (f @ (suc @ X0))))),
% 0.54/0.82 inference('simplify', [status(thm)], [zip_derived_cl121])).
% 0.54/0.82 thf(zip_derived_cl195, plain,
% 0.54/0.82 (![X0 : $i]:
% 0.54/0.82 (~ (E @ 0 @ (f @ (suc @ X0)))
% 0.54/0.82 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 0.54/0.82 | ~ (E @ 0 @ (f @ X0))
% 0.54/0.82 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0))))))),
% 0.54/0.82 inference('clc', [status(thm)], [zip_derived_cl194, zip_derived_cl180])).
% 0.54/0.82 thf(clause_151, axiom,
% 0.54/0.82 (( ~( LE @ ( f @ ( suc @ ( suc @ ( suc @ B_5 ) ) ) ) @ ( s @ 0 ) ) ) |
% 0.54/0.82 ( E @ 0 @ ( f @ ( suc @ ( suc @ ( suc @ B_5 ) ) ) ) ) |
% 0.54/0.82 ( LE @ ( f @ B_5 ) @ 0 ))).
% 0.54/0.82 thf(zip_derived_cl20, plain,
% 0.54/0.82 (![X0 : $i]:
% 0.54/0.82 (~ (LE @ (f @ (suc @ (suc @ (suc @ X0)))) @ (s @ 0))
% 0.54/0.82 | (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0)))))
% 0.54/0.82 | (LE @ (f @ X0) @ 0))),
% 0.54/0.82 inference('cnf', [status(esa)], [clause_151])).
% 0.54/0.82 thf(clause_75, axiom,
% 0.54/0.82 (( ~( LE @ ( f @ ( suc @ ( suc @ ( suc @ B_2 ) ) ) ) @ ( s @ ( s @ 0 ) ) ) ) |
% 0.54/0.82 ( E @ ( s @ 0 ) @ ( f @ ( suc @ ( suc @ ( suc @ B_2 ) ) ) ) ) |
% 0.54/0.82 ( LE @ ( f @ B_2 ) @ ( s @ 0 ) ))).
% 0.54/0.82 thf(zip_derived_cl1, plain,
% 0.54/0.82 (![X0 : $i]:
% 0.54/0.82 (~ (LE @ (f @ (suc @ (suc @ (suc @ X0)))) @ (s @ (s @ 0)))
% 0.54/0.82 | (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 0.54/0.82 | (LE @ (f @ X0) @ (s @ 0)))),
% 0.54/0.82 inference('cnf', [status(esa)], [clause_75])).
% 0.54/0.82 thf(clause_72, axiom, (LE @ ( f @ A ) @ ( s @ ( s @ 0 ) ))).
% 0.54/0.82 thf(zip_derived_cl10, plain, (![X0 : $i]: (LE @ (f @ X0) @ (s @ (s @ 0)))),
% 0.54/0.82 inference('cnf', [status(esa)], [clause_72])).
% 0.54/0.82 thf(zip_derived_cl147, plain,
% 0.54/0.82 (![X0 : $i]:
% 0.54/0.82 ( (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 0.54/0.82 | (LE @ (f @ X0) @ (s @ 0)))),
% 0.54/0.82 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl10])).
% 0.54/0.82 thf(zip_derived_cl166, plain,
% 0.54/0.82 (![X0 : $i]:
% 0.54/0.82 ( (LE @ (f @ X0) @ 0)
% 0.54/0.82 | (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0)))))
% 0.54/0.82 | (E @ (s @ 0) @
% 0.54/0.82 (f @ (suc @ (suc @ (suc @ (suc @ (suc @ (suc @ X0)))))))))),
% 0.54/0.82 inference('sup+', [status(thm)], [zip_derived_cl20, zip_derived_cl147])).
% 0.54/0.82 thf(clause_87, axiom, (~( LE @ ( f @ z ) @ 0 ))).
% 0.54/0.82 thf(zip_derived_cl7, plain, (~ (LE @ (f @ z) @ 0)),
% 0.54/0.82 inference('cnf', [status(esa)], [clause_87])).
% 0.54/0.82 thf(zip_derived_cl298, plain,
% 0.54/0.82 (( (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ (suc @ (suc @ (suc @ z))))))))
% 0.54/0.82 | (E @ 0 @ (f @ (suc @ (suc @ (suc @ z))))))),
% 0.54/0.82 inference('sup-', [status(thm)], [zip_derived_cl166, zip_derived_cl7])).
% 0.54/0.82 thf(clause_134, axiom,
% 0.54/0.82 (( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ ( suc @ A_1 ) ) ) ) ) |
% 0.54/0.82 ( ~( E @ ( s @ 0 ) @ ( f @ A_1 ) ) ) |
% 0.54/0.82 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ A_1 ) ) ) ) |
% 0.54/0.82 ( ~( E @ ( f @ A_1 ) @ ( f @ ( suc @ ( suc @ A_1 ) ) ) ) ) |
% 0.54/0.82 ( ~( E @ ( f @ A_1 ) @ ( f @ ( suc @ A_1 ) ) ) ) |
% 0.54/0.82 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ ( suc @ ( suc @ A_1 ) ) ) ) ) ) |
% 0.54/0.82 ( iLEQ @ ( suc @ A_1 ) @ ( suc @ A_1 ) ))).
% 0.54/0.82 thf(zip_derived_cl33, plain,
% 0.54/0.82 (![X0 : $i]:
% 0.54/0.82 (~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 0.54/0.82 | ~ (E @ (s @ 0) @ (f @ X0))
% 0.54/0.82 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 0.54/0.82 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 0.54/0.82 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.54/0.82 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 0.54/0.82 | (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 0.54/0.82 inference('cnf', [status(esa)], [clause_134])).
% 0.54/0.82 thf(clause_140, axiom,
% 0.54/0.82 (( ~( iLEQ @ ( suc @ A_1 ) @ ( suc @ B_3 ) ) ) |
% 0.54/0.82 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ ( suc @ A_1 ) ) ) ) ) |
% 0.54/0.82 ( ~( E @ ( s @ 0 ) @ ( f @ A_1 ) ) ) |
% 0.54/0.82 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ ( suc @ B_3 ) ) ) ) ) |
% 0.54/0.82 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ A_1 ) ) ) ) |
% 0.54/0.82 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ ( suc @ ( suc @ B_3 ) ) ) ) ) ) |
% 0.54/0.82 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ B_3 ) ) ) ) |
% 0.54/0.82 ( ~( E @ ( s @ 0 ) @ ( f @ B_3 ) ) ) |
% 0.54/0.82 ( ~( E @ ( f @ A_1 ) @ ( f @ ( suc @ ( suc @ A_1 ) ) ) ) ) |
% 0.54/0.82 ( ~( E @ ( f @ B_3 ) @ ( f @ ( suc @ B_3 ) ) ) ) |
% 0.54/0.82 ( ~( E @ ( f @ A_1 ) @ ( f @ ( suc @ A_1 ) ) ) ) |
% 0.54/0.82 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ ( suc @ ( suc @ A_1 ) ) ) ) ) ) |
% 0.54/0.82 ( ~( E @ ( f @ B_3 ) @ ( f @ ( suc @ ( suc @ B_3 ) ) ) ) ))).
% 0.54/0.82 thf(zip_derived_cl13, plain,
% 0.54/0.82 (![X0 : $i, X1 : $i]:
% 0.54/0.82 (~ (iLEQ @ (suc @ X0) @ (suc @ X1))
% 0.54/0.82 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 0.54/0.82 | ~ (E @ (s @ 0) @ (f @ X0))
% 0.54/0.82 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X1))))
% 0.54/0.82 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 0.54/0.82 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ X1)))))
% 0.54/0.82 | ~ (E @ (s @ 0) @ (f @ (suc @ X1)))
% 0.54/0.82 | ~ (E @ (s @ 0) @ (f @ X1))
% 0.54/0.82 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 0.54/0.82 | ~ (E @ (f @ X1) @ (f @ (suc @ X1)))
% 0.54/0.82 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.54/0.82 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 0.54/0.82 | ~ (E @ (f @ X1) @ (f @ (suc @ (suc @ X1)))))),
% 0.54/0.82 inference('cnf', [status(esa)], [clause_140])).
% 0.54/0.82 thf(zip_derived_cl130, plain,
% 0.54/0.82 (![X0 : $i]:
% 0.54/0.82 (~ (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 0.54/0.82 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.54/0.82 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 0.54/0.82 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 0.54/0.82 | ~ (E @ (s @ 0) @ (f @ X0))
% 0.54/0.82 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 0.54/0.82 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 0.54/0.82 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 0.54/0.82 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.54/0.82 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.54/0.82 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 0.54/0.82 | ~ (E @ (s @ 0) @ (f @ X0))
% 0.54/0.82 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 0.54/0.82 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 0.54/0.82 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 0.54/0.82 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 0.54/0.82 | ~ (E @ (s @ 0) @ (f @ X0))
% 0.54/0.82 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0)))))),
% 0.54/0.82 inference('dp-resolution', [status(thm)],
% 0.54/0.82 [zip_derived_cl33, zip_derived_cl13])).
% 0.54/0.82 thf(zip_derived_cl214, plain,
% 0.54/0.82 (![X0 : $i]:
% 0.54/0.82 (~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 0.54/0.82 | ~ (E @ (s @ 0) @ (f @ X0))
% 0.54/0.82 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 0.54/0.82 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 0.54/0.82 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.54/0.82 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ X0))))))),
% 0.54/0.82 inference('simplify', [status(thm)], [zip_derived_cl130])).
% 0.54/0.82 thf(clause_16, axiom,
% 0.54/0.82 (( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ ( suc @ A_1 ) ) ) ) ) |
% 0.54/0.82 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ A_1 ) ) ) ) |
% 0.54/0.82 ( ~( E @ ( f @ A_1 ) @ ( f @ ( suc @ A_1 ) ) ) ) |
% 0.54/0.82 ( ~( E @ ( s @ 0 ) @ ( f @ A_1 ) ) ) |
% 0.54/0.82 ( E @ ( f @ A_1 ) @ ( f @ ( suc @ ( suc @ A_1 ) ) ) ) |
% 0.54/0.82 ( iLEQ @ ( suc @ A_1 ) @ ( suc @ A_1 ) ))).
% 0.54/0.82 thf(zip_derived_cl25, plain,
% 0.54/0.82 (![X0 : $i]:
% 0.54/0.82 (~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 0.54/0.82 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 0.54/0.82 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.54/0.82 | ~ (E @ (s @ 0) @ (f @ X0))
% 0.54/0.82 | (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 0.54/0.82 | (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 0.54/0.82 inference('cnf', [status(esa)], [clause_16])).
% 0.54/0.82 thf(clause_41, axiom,
% 0.54/0.82 (( ~( iLEQ @ ( suc @ A_1 ) @ ( suc @ B_3 ) ) ) |
% 0.54/0.82 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ ( suc @ A_1 ) ) ) ) ) |
% 0.54/0.82 ( ~( E @ ( s @ 0 ) @ ( f @ A_1 ) ) ) |
% 0.54/0.82 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ ( suc @ B_3 ) ) ) ) ) |
% 0.54/0.82 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ A_1 ) ) ) ) |
% 0.54/0.82 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ B_3 ) ) ) ) |
% 0.54/0.82 ( ~( E @ ( s @ 0 ) @ ( f @ B_3 ) ) ) |
% 0.54/0.82 ( ~( E @ ( f @ B_3 ) @ ( f @ ( suc @ B_3 ) ) ) ) |
% 0.54/0.82 ( ~( E @ ( f @ A_1 ) @ ( f @ ( suc @ A_1 ) ) ) ) |
% 0.54/0.82 ( E @ ( f @ A_1 ) @ ( f @ ( suc @ ( suc @ A_1 ) ) ) ) |
% 0.54/0.82 ( E @ ( f @ B_3 ) @ ( f @ ( suc @ ( suc @ B_3 ) ) ) ))).
% 0.54/0.82 thf(zip_derived_cl15, plain,
% 0.54/0.82 (![X0 : $i, X1 : $i]:
% 0.54/0.82 (~ (iLEQ @ (suc @ X0) @ (suc @ X1))
% 0.54/0.82 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 0.54/0.82 | ~ (E @ (s @ 0) @ (f @ X0))
% 0.54/0.82 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X1))))
% 0.54/0.82 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 0.54/0.82 | ~ (E @ (s @ 0) @ (f @ (suc @ X1)))
% 0.54/0.82 | ~ (E @ (s @ 0) @ (f @ X1))
% 0.54/0.82 | ~ (E @ (f @ X1) @ (f @ (suc @ X1)))
% 0.54/0.82 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.54/0.82 | (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 0.54/0.82 | (E @ (f @ X1) @ (f @ (suc @ (suc @ X1)))))),
% 0.54/0.82 inference('cnf', [status(esa)], [clause_41])).
% 0.54/0.82 thf(zip_derived_cl96, plain,
% 0.54/0.82 (![X0 : $i]:
% 0.54/0.82 ( (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 0.54/0.82 | ~ (E @ (s @ 0) @ (f @ X0))
% 0.54/0.82 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.54/0.82 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 0.54/0.82 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 0.54/0.82 | (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 0.54/0.82 | (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 0.54/0.82 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.54/0.82 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.54/0.82 | ~ (E @ (s @ 0) @ (f @ X0))
% 0.54/0.82 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 0.54/0.82 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 0.54/0.82 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 0.54/0.82 | ~ (E @ (s @ 0) @ (f @ X0))
% 0.54/0.82 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0)))))),
% 0.54/0.82 inference('dp-resolution', [status(thm)],
% 0.54/0.82 [zip_derived_cl25, zip_derived_cl15])).
% 0.54/0.82 thf(zip_derived_cl211, plain,
% 0.54/0.82 (![X0 : $i]:
% 0.54/0.82 (~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 0.54/0.82 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 0.54/0.82 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.54/0.82 | ~ (E @ (s @ 0) @ (f @ X0))
% 0.54/0.82 | (E @ (f @ X0) @ (f @ (suc @ (suc @ X0)))))),
% 0.54/0.82 inference('simplify', [status(thm)], [zip_derived_cl96])).
% 0.54/0.82 thf(clause_81, axiom,
% 0.54/0.82 (( ~( E @ ( s @ 0 ) @ ( f @ A_1 ) ) ) |
% 0.54/0.82 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ A_1 ) ) ) ) |
% 0.54/0.82 ( E @ ( f @ A_1 ) @ ( f @ ( suc @ A_1 ) ) ) |
% 0.54/0.82 ( iLEQ @ ( suc @ A_1 ) @ ( suc @ A_1 ) ))).
% 0.54/0.82 thf(zip_derived_cl3, plain,
% 0.54/0.82 (![X0 : $i]:
% 0.54/0.82 (~ (E @ (s @ 0) @ (f @ X0))
% 0.54/0.82 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 0.54/0.82 | (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.54/0.82 | (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 0.54/0.82 inference('cnf', [status(esa)], [clause_81])).
% 0.54/0.82 thf(clause_142, axiom,
% 0.54/0.82 (( ~( iLEQ @ ( suc @ A_1 ) @ ( suc @ B_3 ) ) ) |
% 0.54/0.82 ( ~( E @ ( s @ 0 ) @ ( f @ A_1 ) ) ) |
% 0.54/0.82 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ A_1 ) ) ) ) |
% 0.54/0.82 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ B_3 ) ) ) ) |
% 0.54/0.82 ( ~( E @ ( s @ 0 ) @ ( f @ B_3 ) ) ) |
% 0.54/0.82 ( E @ ( f @ A_1 ) @ ( f @ ( suc @ A_1 ) ) ) |
% 0.54/0.82 ( E @ ( f @ B_3 ) @ ( f @ ( suc @ B_3 ) ) ))).
% 0.54/0.82 thf(zip_derived_cl11, plain,
% 0.54/0.82 (![X0 : $i, X1 : $i]:
% 0.54/0.82 (~ (iLEQ @ (suc @ X0) @ (suc @ X1))
% 0.54/0.82 | ~ (E @ (s @ 0) @ (f @ X0))
% 0.54/0.82 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 0.54/0.82 | ~ (E @ (s @ 0) @ (f @ (suc @ X1)))
% 0.54/0.82 | ~ (E @ (s @ 0) @ (f @ X1))
% 0.54/0.82 | (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.54/0.82 | (E @ (f @ X1) @ (f @ (suc @ X1))))),
% 0.54/0.82 inference('cnf', [status(esa)], [clause_142])).
% 0.54/0.82 thf(zip_derived_cl38, plain,
% 0.54/0.82 (![X0 : $i]:
% 0.54/0.82 ( (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.54/0.82 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 0.54/0.82 | ~ (E @ (s @ 0) @ (f @ X0))
% 0.54/0.82 | (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.54/0.82 | (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.54/0.82 | ~ (E @ (s @ 0) @ (f @ X0))
% 0.54/0.82 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 0.54/0.82 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 0.54/0.82 | ~ (E @ (s @ 0) @ (f @ X0)))),
% 0.54/0.82 inference('dp-resolution', [status(thm)],
% 0.54/0.82 [zip_derived_cl3, zip_derived_cl11])).
% 0.54/0.82 thf(zip_derived_cl183, plain,
% 0.54/0.82 (![X0 : $i]:
% 0.54/0.82 (~ (E @ (s @ 0) @ (f @ X0))
% 0.54/0.82 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 0.54/0.82 | (E @ (f @ X0) @ (f @ (suc @ X0))))),
% 0.54/0.82 inference('simplify', [status(thm)], [zip_derived_cl38])).
% 0.54/0.82 thf(zip_derived_cl212, plain,
% 0.54/0.82 (![X0 : $i]:
% 0.54/0.82 ( (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 0.54/0.82 | ~ (E @ (s @ 0) @ (f @ X0))
% 0.54/0.82 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 0.54/0.82 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0)))))),
% 0.54/0.82 inference('clc', [status(thm)], [zip_derived_cl211, zip_derived_cl183])).
% 0.54/0.82 thf(zip_derived_cl215, plain,
% 0.54/0.82 (![X0 : $i]:
% 0.54/0.82 (~ (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 0.54/0.82 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.54/0.82 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 0.54/0.82 | ~ (E @ (s @ 0) @ (f @ X0))
% 0.54/0.82 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0)))))),
% 0.54/0.82 inference('clc', [status(thm)], [zip_derived_cl214, zip_derived_cl212])).
% 0.54/0.82 thf(zip_derived_cl183, plain,
% 0.54/0.82 (![X0 : $i]:
% 0.54/0.82 (~ (E @ (s @ 0) @ (f @ X0))
% 0.54/0.82 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 0.54/0.82 | (E @ (f @ X0) @ (f @ (suc @ X0))))),
% 0.54/0.82 inference('simplify', [status(thm)], [zip_derived_cl38])).
% 0.54/0.82 thf(zip_derived_cl216, plain,
% 0.54/0.82 (![X0 : $i]:
% 0.54/0.82 (~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 0.54/0.82 | ~ (E @ (s @ 0) @ (f @ X0))
% 0.54/0.82 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 0.54/0.82 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ X0))))))),
% 0.54/0.82 inference('clc', [status(thm)], [zip_derived_cl215, zip_derived_cl183])).
% 0.54/0.82 thf(zip_derived_cl300, plain,
% 0.54/0.82 (( (E @ 0 @ (f @ (suc @ (suc @ (suc @ z)))))
% 0.54/0.82 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ (suc @ z))))))
% 0.54/0.82 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ z)))))
% 0.54/0.82 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ (suc @ (suc @ z))))))))),
% 0.54/0.82 inference('sup-', [status(thm)], [zip_derived_cl298, zip_derived_cl216])).
% 0.54/0.82 thf(zip_derived_cl20, plain,
% 0.54/0.82 (![X0 : $i]:
% 0.54/0.82 (~ (LE @ (f @ (suc @ (suc @ (suc @ X0)))) @ (s @ 0))
% 0.54/0.82 | (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0)))))
% 0.54/0.82 | (LE @ (f @ X0) @ 0))),
% 0.54/0.82 inference('cnf', [status(esa)], [clause_151])).
% 0.54/0.82 thf(clause_104, axiom,
% 0.54/0.82 (( ~( LE @ ( f @ ( suc @ B_2 ) ) @ ( s @ ( s @ 0 ) ) ) ) |
% 0.54/0.82 ( E @ ( s @ 0 ) @ ( f @ ( suc @ B_2 ) ) ) |
% 0.54/0.82 ( LE @ ( f @ B_2 ) @ ( s @ 0 ) ))).
% 0.54/0.82 thf(zip_derived_cl2, plain,
% 0.54/0.82 (![X0 : $i]:
% 0.54/0.82 (~ (LE @ (f @ (suc @ X0)) @ (s @ (s @ 0)))
% 0.54/0.82 | (E @ (s @ 0) @ (f @ (suc @ X0)))
% 0.54/0.82 | (LE @ (f @ X0) @ (s @ 0)))),
% 0.54/0.82 inference('cnf', [status(esa)], [clause_104])).
% 0.54/0.82 thf(zip_derived_cl10, plain, (![X0 : $i]: (LE @ (f @ X0) @ (s @ (s @ 0)))),
% 0.54/0.82 inference('cnf', [status(esa)], [clause_72])).
% 0.54/0.82 thf(zip_derived_cl158, plain,
% 0.54/0.82 (![X0 : $i]:
% 0.54/0.82 ( (E @ (s @ 0) @ (f @ (suc @ X0))) | (LE @ (f @ X0) @ (s @ 0)))),
% 0.54/0.82 inference('demod', [status(thm)], [zip_derived_cl2, zip_derived_cl10])).
% 0.54/0.82 thf(zip_derived_cl167, plain,
% 0.54/0.82 (![X0 : $i]:
% 0.54/0.82 ( (LE @ (f @ X0) @ 0)
% 0.54/0.82 | (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0)))))
% 0.54/0.82 | (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ (suc @ X0)))))))),
% 0.54/0.82 inference('sup+', [status(thm)], [zip_derived_cl20, zip_derived_cl158])).
% 0.54/0.82 thf(zip_derived_cl7, plain, (~ (LE @ (f @ z) @ 0)),
% 0.54/0.82 inference('cnf', [status(esa)], [clause_87])).
% 0.54/0.82 thf(zip_derived_cl290, plain,
% 0.54/0.82 (( (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ (suc @ z))))))
% 0.54/0.82 | (E @ 0 @ (f @ (suc @ (suc @ (suc @ z))))))),
% 0.54/0.82 inference('sup-', [status(thm)], [zip_derived_cl167, zip_derived_cl7])).
% 0.54/0.82 thf(zip_derived_cl328, plain,
% 0.54/0.82 ((~ (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ (suc @ (suc @ z)))))))
% 0.54/0.82 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ z)))))
% 0.54/0.82 | (E @ 0 @ (f @ (suc @ (suc @ (suc @ z))))))),
% 0.54/0.82 inference('clc', [status(thm)], [zip_derived_cl300, zip_derived_cl290])).
% 0.54/0.82 thf(clause_129, axiom,
% 0.54/0.82 (( ~( LE @ ( f @ ( suc @ ( suc @ B_2 ) ) ) @ ( s @ ( s @ 0 ) ) ) ) |
% 0.54/0.82 ( E @ ( s @ 0 ) @ ( f @ ( suc @ ( suc @ B_2 ) ) ) ) |
% 0.54/0.82 ( LE @ ( f @ B_2 ) @ ( s @ 0 ) ))).
% 0.54/0.82 thf(zip_derived_cl27, plain,
% 0.54/0.82 (![X0 : $i]:
% 0.54/0.82 (~ (LE @ (f @ (suc @ (suc @ X0))) @ (s @ (s @ 0)))
% 0.54/0.82 | (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 0.54/0.82 | (LE @ (f @ X0) @ (s @ 0)))),
% 0.54/0.82 inference('cnf', [status(esa)], [clause_129])).
% 0.54/0.82 thf(zip_derived_cl10, plain, (![X0 : $i]: (LE @ (f @ X0) @ (s @ (s @ 0)))),
% 0.54/0.82 inference('cnf', [status(esa)], [clause_72])).
% 0.54/0.82 thf(zip_derived_cl171, plain,
% 0.54/0.82 (![X0 : $i]:
% 0.54/0.82 ( (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 0.54/0.82 | (LE @ (f @ X0) @ (s @ 0)))),
% 0.54/0.82 inference('demod', [status(thm)], [zip_derived_cl27, zip_derived_cl10])).
% 0.54/0.82 thf(zip_derived_cl20, plain,
% 0.54/0.82 (![X0 : $i]:
% 0.54/0.82 (~ (LE @ (f @ (suc @ (suc @ (suc @ X0)))) @ (s @ 0))
% 0.54/0.82 | (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0)))))
% 0.54/0.82 | (LE @ (f @ X0) @ 0))),
% 0.54/0.82 inference('cnf', [status(esa)], [clause_151])).
% 0.54/0.82 thf(zip_derived_cl174, plain,
% 0.54/0.82 (![X0 : $i]:
% 0.54/0.82 ( (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ (suc @ (suc @ X0)))))))
% 0.54/0.82 | (LE @ (f @ X0) @ 0)
% 0.54/0.82 | (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0))))))),
% 0.54/0.82 inference('sup-', [status(thm)], [zip_derived_cl171, zip_derived_cl20])).
% 0.54/0.82 thf(zip_derived_cl7, plain, (~ (LE @ (f @ z) @ 0)),
% 0.54/0.82 inference('cnf', [status(esa)], [clause_87])).
% 0.54/0.82 thf(zip_derived_cl311, plain,
% 0.54/0.82 (( (E @ 0 @ (f @ (suc @ (suc @ (suc @ z)))))
% 0.54/0.82 | (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ (suc @ (suc @ z))))))))),
% 0.54/0.82 inference('sup-', [status(thm)], [zip_derived_cl174, zip_derived_cl7])).
% 0.54/0.82 thf(zip_derived_cl329, plain,
% 0.54/0.82 (( (E @ 0 @ (f @ (suc @ (suc @ (suc @ z)))))
% 0.54/0.82 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ z))))))),
% 0.54/0.82 inference('clc', [status(thm)], [zip_derived_cl328, zip_derived_cl311])).
% 0.54/0.82 thf(zip_derived_cl20, plain,
% 0.54/0.82 (![X0 : $i]:
% 0.54/0.82 (~ (LE @ (f @ (suc @ (suc @ (suc @ X0)))) @ (s @ 0))
% 0.54/0.82 | (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0)))))
% 0.54/0.82 | (LE @ (f @ X0) @ 0))),
% 0.54/0.82 inference('cnf', [status(esa)], [clause_151])).
% 0.54/0.82 thf(clause_51, axiom,
% 0.54/0.82 (( ~( LE @ ( f @ B_2 ) @ ( s @ ( s @ 0 ) ) ) ) |
% 0.54/0.82 ( E @ ( s @ 0 ) @ ( f @ B_2 ) ) | ( LE @ ( f @ B_2 ) @ ( s @ 0 ) ))).
% 0.54/0.82 thf(zip_derived_cl17, plain,
% 0.54/0.82 (![X0 : $i]:
% 0.54/0.82 (~ (LE @ (f @ X0) @ (s @ (s @ 0)))
% 0.54/0.82 | (E @ (s @ 0) @ (f @ X0))
% 0.54/0.82 | (LE @ (f @ X0) @ (s @ 0)))),
% 0.54/0.82 inference('cnf', [status(esa)], [clause_51])).
% 0.54/0.82 thf(zip_derived_cl10, plain, (![X0 : $i]: (LE @ (f @ X0) @ (s @ (s @ 0)))),
% 0.54/0.82 inference('cnf', [status(esa)], [clause_72])).
% 0.54/0.82 thf(zip_derived_cl142, plain,
% 0.54/0.82 (![X0 : $i]: ( (E @ (s @ 0) @ (f @ X0)) | (LE @ (f @ X0) @ (s @ 0)))),
% 0.54/0.82 inference('demod', [status(thm)], [zip_derived_cl17, zip_derived_cl10])).
% 0.54/0.82 thf(zip_derived_cl165, plain,
% 0.54/0.82 (![X0 : $i]:
% 0.54/0.82 ( (LE @ (f @ X0) @ 0)
% 0.54/0.82 | (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0)))))
% 0.54/0.82 | (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ X0))))))),
% 0.54/0.82 inference('sup+', [status(thm)], [zip_derived_cl20, zip_derived_cl142])).
% 0.54/0.82 thf(zip_derived_cl7, plain, (~ (LE @ (f @ z) @ 0)),
% 0.54/0.82 inference('cnf', [status(esa)], [clause_87])).
% 0.54/0.82 thf(zip_derived_cl270, plain,
% 0.54/0.82 (( (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ z)))))
% 0.54/0.82 | (E @ 0 @ (f @ (suc @ (suc @ (suc @ z))))))),
% 0.54/0.82 inference('sup-', [status(thm)], [zip_derived_cl165, zip_derived_cl7])).
% 0.54/0.82 thf(zip_derived_cl330, plain, ( (E @ 0 @ (f @ (suc @ (suc @ (suc @ z)))))),
% 0.54/0.82 inference('clc', [status(thm)], [zip_derived_cl329, zip_derived_cl270])).
% 0.54/0.82 thf(zip_derived_cl332, plain,
% 0.54/0.82 ((~ (E @ 0 @ (f @ z))
% 0.54/0.82 | ~ (E @ 0 @ (f @ (suc @ (suc @ z))))
% 0.54/0.82 | ~ (E @ 0 @ (f @ (suc @ z))))),
% 0.54/0.82 inference('sup+', [status(thm)], [zip_derived_cl195, zip_derived_cl330])).
% 0.54/0.82 thf(zip_derived_cl147, plain,
% 0.54/0.82 (![X0 : $i]:
% 0.54/0.82 ( (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 0.54/0.82 | (LE @ (f @ X0) @ (s @ 0)))),
% 0.54/0.82 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl10])).
% 0.54/0.82 thf(clause_109, axiom,
% 0.54/0.82 (( ~( LE @ ( f @ B_5 ) @ ( s @ 0 ) ) ) | ( E @ 0 @ ( f @ B_5 ) ) |
% 0.54/0.82 ( LE @ ( f @ B_5 ) @ 0 ))).
% 0.54/0.82 thf(zip_derived_cl26, plain,
% 0.54/0.82 (![X0 : $i]:
% 0.54/0.82 (~ (LE @ (f @ X0) @ (s @ 0))
% 0.54/0.82 | (E @ 0 @ (f @ X0))
% 0.54/0.82 | (LE @ (f @ X0) @ 0))),
% 0.54/0.82 inference('cnf', [status(esa)], [clause_109])).
% 0.54/0.82 thf(zip_derived_cl148, plain,
% 0.54/0.82 (![X0 : $i]:
% 0.54/0.82 ( (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 0.54/0.82 | (LE @ (f @ X0) @ 0)
% 0.54/0.82 | (E @ 0 @ (f @ X0)))),
% 0.54/0.82 inference('sup-', [status(thm)], [zip_derived_cl147, zip_derived_cl26])).
% 0.54/0.82 thf(zip_derived_cl7, plain, (~ (LE @ (f @ z) @ 0)),
% 0.54/0.82 inference('cnf', [status(esa)], [clause_87])).
% 0.54/0.82 thf(zip_derived_cl223, plain,
% 0.54/0.82 (( (E @ 0 @ (f @ z)) | (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ z))))))),
% 0.54/0.82 inference('sup-', [status(thm)], [zip_derived_cl148, zip_derived_cl7])).
% 0.54/0.82 thf(zip_derived_cl216, plain,
% 0.54/0.82 (![X0 : $i]:
% 0.54/0.82 (~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 0.54/0.82 | ~ (E @ (s @ 0) @ (f @ X0))
% 0.54/0.82 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 0.54/0.82 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ X0))))))),
% 0.54/0.82 inference('clc', [status(thm)], [zip_derived_cl215, zip_derived_cl183])).
% 0.54/0.82 thf(zip_derived_cl225, plain,
% 0.54/0.82 (( (E @ 0 @ (f @ z))
% 0.54/0.82 | ~ (E @ (s @ 0) @ (f @ (suc @ z)))
% 0.54/0.82 | ~ (E @ (s @ 0) @ (f @ z))
% 0.54/0.82 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ z)))))),
% 0.54/0.82 inference('sup-', [status(thm)], [zip_derived_cl223, zip_derived_cl216])).
% 0.54/0.82 thf(zip_derived_cl158, plain,
% 0.54/0.82 (![X0 : $i]:
% 0.54/0.82 ( (E @ (s @ 0) @ (f @ (suc @ X0))) | (LE @ (f @ X0) @ (s @ 0)))),
% 0.54/0.82 inference('demod', [status(thm)], [zip_derived_cl2, zip_derived_cl10])).
% 0.54/0.82 thf(zip_derived_cl26, plain,
% 0.54/0.82 (![X0 : $i]:
% 0.54/0.82 (~ (LE @ (f @ X0) @ (s @ 0))
% 0.54/0.82 | (E @ 0 @ (f @ X0))
% 0.54/0.82 | (LE @ (f @ X0) @ 0))),
% 0.54/0.82 inference('cnf', [status(esa)], [clause_109])).
% 0.54/0.82 thf(zip_derived_cl159, plain,
% 0.54/0.82 (![X0 : $i]:
% 0.54/0.82 ( (E @ (s @ 0) @ (f @ (suc @ X0)))
% 0.54/0.82 | (LE @ (f @ X0) @ 0)
% 0.54/0.82 | (E @ 0 @ (f @ X0)))),
% 0.54/0.82 inference('sup-', [status(thm)], [zip_derived_cl158, zip_derived_cl26])).
% 0.54/0.82 thf(zip_derived_cl7, plain, (~ (LE @ (f @ z) @ 0)),
% 0.54/0.82 inference('cnf', [status(esa)], [clause_87])).
% 0.54/0.82 thf(zip_derived_cl181, plain,
% 0.54/0.82 (( (E @ 0 @ (f @ z)) | (E @ (s @ 0) @ (f @ (suc @ z))))),
% 0.54/0.82 inference('sup-', [status(thm)], [zip_derived_cl159, zip_derived_cl7])).
% 0.54/0.82 thf(zip_derived_cl229, plain,
% 0.54/0.82 ((~ (E @ (s @ 0) @ (f @ (suc @ (suc @ z))))
% 0.54/0.82 | ~ (E @ (s @ 0) @ (f @ z))
% 0.54/0.82 | (E @ 0 @ (f @ z)))),
% 0.54/0.82 inference('clc', [status(thm)], [zip_derived_cl225, zip_derived_cl181])).
% 0.54/0.82 thf(zip_derived_cl171, plain,
% 0.54/0.82 (![X0 : $i]:
% 0.54/0.82 ( (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 0.54/0.82 | (LE @ (f @ X0) @ (s @ 0)))),
% 0.54/0.82 inference('demod', [status(thm)], [zip_derived_cl27, zip_derived_cl10])).
% 0.54/0.82 thf(zip_derived_cl26, plain,
% 0.54/0.82 (![X0 : $i]:
% 0.54/0.82 (~ (LE @ (f @ X0) @ (s @ 0))
% 0.54/0.82 | (E @ 0 @ (f @ X0))
% 0.54/0.82 | (LE @ (f @ X0) @ 0))),
% 0.54/0.82 inference('cnf', [status(esa)], [clause_109])).
% 0.54/0.82 thf(zip_derived_cl172, plain,
% 0.54/0.82 (![X0 : $i]:
% 0.54/0.82 ( (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 0.54/0.82 | (LE @ (f @ X0) @ 0)
% 0.54/0.82 | (E @ 0 @ (f @ X0)))),
% 0.54/0.82 inference('sup-', [status(thm)], [zip_derived_cl171, zip_derived_cl26])).
% 0.54/0.82 thf(zip_derived_cl7, plain, (~ (LE @ (f @ z) @ 0)),
% 0.54/0.82 inference('cnf', [status(esa)], [clause_87])).
% 0.54/0.82 thf(zip_derived_cl219, plain,
% 0.54/0.82 (( (E @ 0 @ (f @ z)) | (E @ (s @ 0) @ (f @ (suc @ (suc @ z)))))),
% 0.54/0.82 inference('sup-', [status(thm)], [zip_derived_cl172, zip_derived_cl7])).
% 0.54/0.82 thf(zip_derived_cl230, plain,
% 0.54/0.82 (( (E @ 0 @ (f @ z)) | ~ (E @ (s @ 0) @ (f @ z)))),
% 0.54/0.82 inference('clc', [status(thm)], [zip_derived_cl229, zip_derived_cl219])).
% 0.54/0.82 thf(zip_derived_cl142, plain,
% 0.54/0.82 (![X0 : $i]: ( (E @ (s @ 0) @ (f @ X0)) | (LE @ (f @ X0) @ (s @ 0)))),
% 0.54/0.82 inference('demod', [status(thm)], [zip_derived_cl17, zip_derived_cl10])).
% 0.54/0.82 thf(zip_derived_cl26, plain,
% 0.54/0.82 (![X0 : $i]:
% 0.54/0.82 (~ (LE @ (f @ X0) @ (s @ 0))
% 0.54/0.82 | (E @ 0 @ (f @ X0))
% 0.54/0.82 | (LE @ (f @ X0) @ 0))),
% 0.54/0.82 inference('cnf', [status(esa)], [clause_109])).
% 0.54/0.82 thf(zip_derived_cl143, plain,
% 0.54/0.82 (![X0 : $i]:
% 0.54/0.82 ( (E @ (s @ 0) @ (f @ X0))
% 0.54/0.82 | (LE @ (f @ X0) @ 0)
% 0.54/0.82 | (E @ 0 @ (f @ X0)))),
% 0.54/0.82 inference('sup-', [status(thm)], [zip_derived_cl142, zip_derived_cl26])).
% 0.54/0.82 thf(zip_derived_cl7, plain, (~ (LE @ (f @ z) @ 0)),
% 0.54/0.82 inference('cnf', [status(esa)], [clause_87])).
% 0.54/0.82 thf(zip_derived_cl152, plain,
% 0.54/0.82 (( (E @ 0 @ (f @ z)) | (E @ (s @ 0) @ (f @ z)))),
% 0.54/0.82 inference('sup-', [status(thm)], [zip_derived_cl143, zip_derived_cl7])).
% 0.54/0.82 thf(zip_derived_cl231, plain, ( (E @ 0 @ (f @ z))),
% 0.54/0.82 inference('clc', [status(thm)], [zip_derived_cl230, zip_derived_cl152])).
% 0.54/0.82 thf(clause_141, axiom,
% 0.54/0.82 (( ~( LE @ ( f @ ( suc @ ( suc @ B_5 ) ) ) @ ( s @ 0 ) ) ) |
% 0.54/0.82 ( E @ 0 @ ( f @ ( suc @ ( suc @ B_5 ) ) ) ) | ( LE @ ( f @ B_5 ) @ 0 ))).
% 0.54/0.82 thf(zip_derived_cl6, plain,
% 0.54/0.82 (![X0 : $i]:
% 0.54/0.82 (~ (LE @ (f @ (suc @ (suc @ X0))) @ (s @ 0))
% 0.54/0.82 | (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 0.54/0.82 | (LE @ (f @ X0) @ 0))),
% 0.54/0.82 inference('cnf', [status(esa)], [clause_141])).
% 0.54/0.82 thf(zip_derived_cl147, plain,
% 0.54/0.82 (![X0 : $i]:
% 0.54/0.82 ( (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 0.54/0.82 | (LE @ (f @ X0) @ (s @ 0)))),
% 0.54/0.82 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl10])).
% 0.54/0.82 thf(zip_derived_cl155, plain,
% 0.54/0.82 (![X0 : $i]:
% 0.54/0.82 ( (LE @ (f @ X0) @ 0)
% 0.54/0.82 | (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 0.54/0.82 | (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ (suc @ (suc @ X0))))))))),
% 0.54/0.82 inference('sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl147])).
% 0.54/0.82 thf(zip_derived_cl7, plain, (~ (LE @ (f @ z) @ 0)),
% 0.54/0.82 inference('cnf', [status(esa)], [clause_87])).
% 0.54/0.82 thf(zip_derived_cl264, plain,
% 0.54/0.82 (( (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ (suc @ (suc @ z)))))))
% 0.54/0.82 | (E @ 0 @ (f @ (suc @ (suc @ z)))))),
% 0.54/0.82 inference('sup-', [status(thm)], [zip_derived_cl155, zip_derived_cl7])).
% 0.54/0.82 thf(zip_derived_cl216, plain,
% 0.54/0.82 (![X0 : $i]:
% 0.54/0.82 (~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 0.54/0.82 | ~ (E @ (s @ 0) @ (f @ X0))
% 0.54/0.82 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 0.54/0.82 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ X0))))))),
% 0.54/0.82 inference('clc', [status(thm)], [zip_derived_cl215, zip_derived_cl183])).
% 0.54/0.82 thf(zip_derived_cl266, plain,
% 0.54/0.82 (( (E @ 0 @ (f @ (suc @ (suc @ z))))
% 0.54/0.82 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ z)))))
% 0.54/0.82 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ z))))
% 0.54/0.82 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ (suc @ z)))))))),
% 0.54/0.82 inference('sup-', [status(thm)], [zip_derived_cl264, zip_derived_cl216])).
% 0.54/0.82 thf(zip_derived_cl158, plain,
% 0.54/0.82 (![X0 : $i]:
% 0.54/0.82 ( (E @ (s @ 0) @ (f @ (suc @ X0))) | (LE @ (f @ X0) @ (s @ 0)))),
% 0.54/0.82 inference('demod', [status(thm)], [zip_derived_cl2, zip_derived_cl10])).
% 0.54/0.82 thf(zip_derived_cl6, plain,
% 0.54/0.82 (![X0 : $i]:
% 0.54/0.82 (~ (LE @ (f @ (suc @ (suc @ X0))) @ (s @ 0))
% 0.54/0.82 | (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 0.54/0.82 | (LE @ (f @ X0) @ 0))),
% 0.54/0.82 inference('cnf', [status(esa)], [clause_141])).
% 0.54/0.82 thf(zip_derived_cl160, plain,
% 0.54/0.82 (![X0 : $i]:
% 0.54/0.82 ( (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 0.54/0.82 | (LE @ (f @ X0) @ 0)
% 0.54/0.82 | (E @ 0 @ (f @ (suc @ (suc @ X0)))))),
% 0.54/0.82 inference('sup-', [status(thm)], [zip_derived_cl158, zip_derived_cl6])).
% 0.54/0.82 thf(zip_derived_cl7, plain, (~ (LE @ (f @ z) @ 0)),
% 0.54/0.82 inference('cnf', [status(esa)], [clause_87])).
% 0.54/0.82 thf(zip_derived_cl256, plain,
% 0.54/0.82 (( (E @ 0 @ (f @ (suc @ (suc @ z))))
% 0.54/0.82 | (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ z))))))),
% 0.54/0.82 inference('sup-', [status(thm)], [zip_derived_cl160, zip_derived_cl7])).
% 0.54/0.82 thf(zip_derived_cl317, plain,
% 0.54/0.82 ((~ (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ (suc @ z))))))
% 0.54/0.82 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ z))))
% 0.54/0.82 | (E @ 0 @ (f @ (suc @ (suc @ z)))))),
% 0.54/0.82 inference('clc', [status(thm)], [zip_derived_cl266, zip_derived_cl256])).
% 0.54/0.82 thf(zip_derived_cl171, plain,
% 0.54/0.82 (![X0 : $i]:
% 0.54/0.82 ( (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 0.54/0.82 | (LE @ (f @ X0) @ (s @ 0)))),
% 0.54/0.82 inference('demod', [status(thm)], [zip_derived_cl27, zip_derived_cl10])).
% 0.54/0.82 thf(zip_derived_cl6, plain,
% 0.54/0.82 (![X0 : $i]:
% 0.54/0.82 (~ (LE @ (f @ (suc @ (suc @ X0))) @ (s @ 0))
% 0.54/0.82 | (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 0.54/0.82 | (LE @ (f @ X0) @ 0))),
% 0.54/0.82 inference('cnf', [status(esa)], [clause_141])).
% 0.54/0.82 thf(zip_derived_cl173, plain,
% 0.54/0.82 (![X0 : $i]:
% 0.54/0.82 ( (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ (suc @ X0))))))
% 0.54/0.82 | (LE @ (f @ X0) @ 0)
% 0.54/0.82 | (E @ 0 @ (f @ (suc @ (suc @ X0)))))),
% 0.54/0.82 inference('sup-', [status(thm)], [zip_derived_cl171, zip_derived_cl6])).
% 0.54/0.82 thf(zip_derived_cl7, plain, (~ (LE @ (f @ z) @ 0)),
% 0.54/0.82 inference('cnf', [status(esa)], [clause_87])).
% 0.54/0.82 thf(zip_derived_cl278, plain,
% 0.54/0.82 (( (E @ 0 @ (f @ (suc @ (suc @ z))))
% 0.54/0.82 | (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ (suc @ z)))))))),
% 0.54/0.82 inference('sup-', [status(thm)], [zip_derived_cl173, zip_derived_cl7])).
% 0.54/0.82 thf(zip_derived_cl318, plain,
% 0.54/0.82 (( (E @ 0 @ (f @ (suc @ (suc @ z))))
% 0.54/0.82 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ z)))))),
% 0.54/0.82 inference('clc', [status(thm)], [zip_derived_cl317, zip_derived_cl278])).
% 0.54/0.82 thf(zip_derived_cl6, plain,
% 0.54/0.82 (![X0 : $i]:
% 0.54/0.82 (~ (LE @ (f @ (suc @ (suc @ X0))) @ (s @ 0))
% 0.54/0.82 | (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 0.54/0.82 | (LE @ (f @ X0) @ 0))),
% 0.54/0.82 inference('cnf', [status(esa)], [clause_141])).
% 0.54/0.82 thf(zip_derived_cl142, plain,
% 0.54/0.82 (![X0 : $i]: ( (E @ (s @ 0) @ (f @ X0)) | (LE @ (f @ X0) @ (s @ 0)))),
% 0.54/0.82 inference('demod', [status(thm)], [zip_derived_cl17, zip_derived_cl10])).
% 0.54/0.82 thf(zip_derived_cl154, plain,
% 0.54/0.82 (![X0 : $i]:
% 0.54/0.82 ( (LE @ (f @ X0) @ 0)
% 0.54/0.82 | (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 0.54/0.82 | (E @ (s @ 0) @ (f @ (suc @ (suc @ X0)))))),
% 0.54/0.82 inference('sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl142])).
% 0.54/0.82 thf(zip_derived_cl7, plain, (~ (LE @ (f @ z) @ 0)),
% 0.54/0.82 inference('cnf', [status(esa)], [clause_87])).
% 0.54/0.82 thf(zip_derived_cl248, plain,
% 0.54/0.82 (( (E @ (s @ 0) @ (f @ (suc @ (suc @ z))))
% 0.54/0.82 | (E @ 0 @ (f @ (suc @ (suc @ z)))))),
% 0.54/0.82 inference('sup-', [status(thm)], [zip_derived_cl154, zip_derived_cl7])).
% 0.54/0.82 thf(zip_derived_cl319, plain, ( (E @ 0 @ (f @ (suc @ (suc @ z))))),
% 0.54/0.82 inference('clc', [status(thm)], [zip_derived_cl318, zip_derived_cl248])).
% 0.54/0.82 thf(zip_derived_cl171, plain,
% 0.54/0.82 (![X0 : $i]:
% 0.54/0.82 ( (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 0.54/0.82 | (LE @ (f @ X0) @ (s @ 0)))),
% 0.54/0.82 inference('demod', [status(thm)], [zip_derived_cl27, zip_derived_cl10])).
% 0.54/0.82 thf(clause_122, axiom,
% 0.54/0.82 (( ~( LE @ ( f @ ( suc @ B_5 ) ) @ ( s @ 0 ) ) ) |
% 0.54/0.82 ( E @ 0 @ ( f @ ( suc @ B_5 ) ) ) | ( LE @ ( f @ B_5 ) @ 0 ))).
% 0.54/0.82 thf(zip_derived_cl30, plain,
% 0.54/0.82 (![X0 : $i]:
% 0.54/0.82 (~ (LE @ (f @ (suc @ X0)) @ (s @ 0))
% 0.54/0.82 | (E @ 0 @ (f @ (suc @ X0)))
% 0.54/0.82 | (LE @ (f @ X0) @ 0))),
% 0.54/0.82 inference('cnf', [status(esa)], [clause_122])).
% 0.54/0.82 thf(zip_derived_cl175, plain,
% 0.54/0.82 (![X0 : $i]:
% 0.54/0.82 ( (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 0.54/0.82 | (LE @ (f @ X0) @ 0)
% 0.54/0.82 | (E @ 0 @ (f @ (suc @ X0))))),
% 0.54/0.82 inference('sup-', [status(thm)], [zip_derived_cl171, zip_derived_cl30])).
% 0.54/0.82 thf(zip_derived_cl7, plain, (~ (LE @ (f @ z) @ 0)),
% 0.54/0.82 inference('cnf', [status(esa)], [clause_87])).
% 0.54/0.82 thf(zip_derived_cl252, plain,
% 0.54/0.82 (( (E @ 0 @ (f @ (suc @ z)))
% 0.54/0.82 | (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ z))))))),
% 0.54/0.82 inference('sup-', [status(thm)], [zip_derived_cl175, zip_derived_cl7])).
% 0.54/0.82 thf(zip_derived_cl147, plain,
% 0.54/0.82 (![X0 : $i]:
% 0.54/0.82 ( (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 0.54/0.82 | (LE @ (f @ X0) @ (s @ 0)))),
% 0.54/0.82 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl10])).
% 0.54/0.82 thf(zip_derived_cl30, plain,
% 0.54/0.82 (![X0 : $i]:
% 0.54/0.82 (~ (LE @ (f @ (suc @ X0)) @ (s @ 0))
% 0.54/0.82 | (E @ 0 @ (f @ (suc @ X0)))
% 0.54/0.82 | (LE @ (f @ X0) @ 0))),
% 0.54/0.82 inference('cnf', [status(esa)], [clause_122])).
% 0.54/0.82 thf(zip_derived_cl149, plain,
% 0.54/0.82 (![X0 : $i]:
% 0.54/0.82 ( (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ (suc @ X0))))))
% 0.54/0.82 | (LE @ (f @ X0) @ 0)
% 0.54/0.82 | (E @ 0 @ (f @ (suc @ X0))))),
% 0.54/0.82 inference('sup-', [status(thm)], [zip_derived_cl147, zip_derived_cl30])).
% 0.54/0.82 thf(zip_derived_cl7, plain, (~ (LE @ (f @ z) @ 0)),
% 0.54/0.82 inference('cnf', [status(esa)], [clause_87])).
% 0.54/0.82 thf(zip_derived_cl237, plain,
% 0.54/0.82 (( (E @ 0 @ (f @ (suc @ z)))
% 0.54/0.82 | (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ (suc @ z)))))))),
% 0.54/0.82 inference('sup-', [status(thm)], [zip_derived_cl149, zip_derived_cl7])).
% 0.54/0.82 thf(zip_derived_cl216, plain,
% 0.54/0.82 (![X0 : $i]:
% 0.54/0.82 (~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 0.54/0.82 | ~ (E @ (s @ 0) @ (f @ X0))
% 0.54/0.82 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 0.54/0.82 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ X0))))))),
% 0.54/0.82 inference('clc', [status(thm)], [zip_derived_cl215, zip_derived_cl183])).
% 0.54/0.82 thf(zip_derived_cl239, plain,
% 0.54/0.82 (( (E @ 0 @ (f @ (suc @ z)))
% 0.54/0.82 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ z))))
% 0.54/0.82 | ~ (E @ (s @ 0) @ (f @ (suc @ z)))
% 0.54/0.82 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ z))))))),
% 0.54/0.82 inference('sup-', [status(thm)], [zip_derived_cl237, zip_derived_cl216])).
% 0.54/0.82 thf(zip_derived_cl158, plain,
% 0.54/0.82 (![X0 : $i]:
% 0.54/0.82 ( (E @ (s @ 0) @ (f @ (suc @ X0))) | (LE @ (f @ X0) @ (s @ 0)))),
% 0.54/0.82 inference('demod', [status(thm)], [zip_derived_cl2, zip_derived_cl10])).
% 0.54/0.82 thf(zip_derived_cl30, plain,
% 0.54/0.82 (![X0 : $i]:
% 0.54/0.82 (~ (LE @ (f @ (suc @ X0)) @ (s @ 0))
% 0.54/0.82 | (E @ 0 @ (f @ (suc @ X0)))
% 0.54/0.82 | (LE @ (f @ X0) @ 0))),
% 0.54/0.82 inference('cnf', [status(esa)], [clause_122])).
% 0.54/0.82 thf(zip_derived_cl161, plain,
% 0.54/0.82 (![X0 : $i]:
% 0.54/0.82 ( (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 0.54/0.82 | (LE @ (f @ X0) @ 0)
% 0.54/0.82 | (E @ 0 @ (f @ (suc @ X0))))),
% 0.54/0.82 inference('sup-', [status(thm)], [zip_derived_cl158, zip_derived_cl30])).
% 0.54/0.82 thf(zip_derived_cl7, plain, (~ (LE @ (f @ z) @ 0)),
% 0.54/0.82 inference('cnf', [status(esa)], [clause_87])).
% 0.54/0.82 thf(zip_derived_cl233, plain,
% 0.54/0.82 (( (E @ 0 @ (f @ (suc @ z))) | (E @ (s @ 0) @ (f @ (suc @ (suc @ z)))))),
% 0.54/0.82 inference('sup-', [status(thm)], [zip_derived_cl161, zip_derived_cl7])).
% 0.54/0.82 thf(zip_derived_cl244, plain,
% 0.54/0.82 ((~ (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ z)))))
% 0.54/0.82 | ~ (E @ (s @ 0) @ (f @ (suc @ z)))
% 0.54/0.82 | (E @ 0 @ (f @ (suc @ z))))),
% 0.54/0.82 inference('clc', [status(thm)], [zip_derived_cl239, zip_derived_cl233])).
% 0.54/0.82 thf(zip_derived_cl142, plain,
% 0.54/0.82 (![X0 : $i]: ( (E @ (s @ 0) @ (f @ X0)) | (LE @ (f @ X0) @ (s @ 0)))),
% 0.54/0.82 inference('demod', [status(thm)], [zip_derived_cl17, zip_derived_cl10])).
% 0.54/0.82 thf(zip_derived_cl30, plain,
% 0.54/0.82 (![X0 : $i]:
% 0.54/0.82 (~ (LE @ (f @ (suc @ X0)) @ (s @ 0))
% 0.54/0.82 | (E @ 0 @ (f @ (suc @ X0)))
% 0.54/0.82 | (LE @ (f @ X0) @ 0))),
% 0.54/0.82 inference('cnf', [status(esa)], [clause_122])).
% 0.54/0.82 thf(zip_derived_cl144, plain,
% 0.54/0.82 (![X0 : $i]:
% 0.54/0.82 ( (E @ (s @ 0) @ (f @ (suc @ X0)))
% 0.54/0.82 | (LE @ (f @ X0) @ 0)
% 0.54/0.82 | (E @ 0 @ (f @ (suc @ X0))))),
% 0.54/0.82 inference('sup-', [status(thm)], [zip_derived_cl142, zip_derived_cl30])).
% 0.54/0.82 thf(zip_derived_cl7, plain, (~ (LE @ (f @ z) @ 0)),
% 0.54/0.82 inference('cnf', [status(esa)], [clause_87])).
% 0.54/0.82 thf(zip_derived_cl202, plain,
% 0.54/0.82 (( (E @ 0 @ (f @ (suc @ z))) | (E @ (s @ 0) @ (f @ (suc @ z))))),
% 0.54/0.82 inference('sup-', [status(thm)], [zip_derived_cl144, zip_derived_cl7])).
% 0.54/0.82 thf(zip_derived_cl245, plain,
% 0.54/0.82 (( (E @ 0 @ (f @ (suc @ z)))
% 0.54/0.82 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ z))))))),
% 0.54/0.82 inference('clc', [status(thm)], [zip_derived_cl244, zip_derived_cl202])).
% 0.54/0.82 thf(zip_derived_cl254, plain, ( (E @ 0 @ (f @ (suc @ z)))),
% 0.54/0.82 inference('clc', [status(thm)], [zip_derived_cl252, zip_derived_cl245])).
% 0.54/0.82 thf(zip_derived_cl333, plain, ($false),
% 0.54/0.82 inference('demod', [status(thm)],
% 0.54/0.82 [zip_derived_cl332, zip_derived_cl231, zip_derived_cl319,
% 0.54/0.82 zip_derived_cl254])).
% 0.54/0.82
% 0.54/0.82 % SZS output end Refutation
% 0.54/0.82
% 0.54/0.82
% 0.54/0.82 % Terminating...
% 1.58/0.84 % Runner terminated.
% 1.58/0.85 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------