%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYO667-1 : 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.soUnfRjFWL true
% Computer : n026.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 05:08:06 PM UTC 2025
% Result : Unsatisfiable 0.56s 0.88s
% Output : Refutation 0.56s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYO667-1 : TPTP v9.2.0. Released v7.3.0.
% 0.07/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.soUnfRjFWL true
% 0.13/0.34 % Computer : n026.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 18:05:38 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
% 0.13/0.34 % Number of cores: 8
% 0.13/0.34 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.54/0.63 % Total configuration time : 435
% 0.54/0.63 % Estimated wc time : 1092
% 0.54/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.54/0.69 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.54/0.70 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.54/0.70 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.54/0.73 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.54/0.74 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.54/0.74 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.54/0.74 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.56/0.88 % Solved by fo/fo4.sh.
% 0.56/0.88 % done 109 iterations in 0.105s
% 0.56/0.88 % SZS status Unsatisfiable for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.56/0.88 % SZS output start Refutation
% 0.56/0.88 thf(f_type, type, f: $i > $i).
% 0.56/0.88 thf(0_type, type, 0: $i).
% 0.56/0.88 thf(s_type, type, s: $i > $i).
% 0.56/0.88 thf(z_type, type, z: $i).
% 0.56/0.88 thf(E_type, type, E: $i > $i > $o).
% 0.56/0.88 thf(LE_type, type, LE: $i > $i > $o).
% 0.56/0.88 thf(suc_type, type, suc: $i > $i).
% 0.56/0.88 thf(clause_25, axiom, (~( LE @ ( f @ z ) @ 0 ))).
% 0.56/0.88 thf(zip_derived_cl22, plain, (~ (LE @ (f @ z) @ 0)),
% 0.56/0.88 inference('cnf', [status(esa)], [clause_25])).
% 0.56/0.88 thf(clause_38, axiom,
% 0.56/0.88 (( ~( LE @ ( f @ ( suc @ ( suc @ ( suc @ ( suc @ B_1 ) ) ) ) ) @ ( s @ 0 ) ) ) |
% 0.56/0.88 ( E @ 0 @ ( f @ ( suc @ ( suc @ ( suc @ ( suc @ B_1 ) ) ) ) ) ) |
% 0.56/0.88 ( LE @ ( f @ B_1 ) @ 0 ))).
% 0.56/0.88 thf(zip_derived_cl26, plain,
% 0.56/0.88 (![X0 : $i]:
% 0.56/0.88 (~ (LE @ (f @ (suc @ (suc @ (suc @ (suc @ X0))))) @ (s @ 0))
% 0.56/0.88 | (E @ 0 @ (f @ (suc @ (suc @ (suc @ (suc @ X0))))))
% 0.56/0.88 | (LE @ (f @ X0) @ 0))),
% 0.56/0.88 inference('cnf', [status(esa)], [clause_38])).
% 0.56/0.88 thf(clause_8, axiom,
% 0.56/0.88 (( ~( LE @
% 0.56/0.88 ( f @ ( suc @ ( suc @ ( suc @ ( suc @ B_0 ) ) ) ) ) @
% 0.56/0.88 ( s @ ( s @ 0 ) ) ) ) |
% 0.56/0.88 ( E @ ( s @ 0 ) @ ( f @ ( suc @ ( suc @ ( suc @ ( suc @ B_0 ) ) ) ) ) ) |
% 0.56/0.88 ( LE @ ( f @ B_0 ) @ ( s @ 0 ) ))).
% 0.56/0.88 thf(zip_derived_cl3, plain,
% 0.56/0.88 (![X0 : $i]:
% 0.56/0.88 (~ (LE @ (f @ (suc @ (suc @ (suc @ (suc @ X0))))) @ (s @ (s @ 0)))
% 0.56/0.88 | (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ (suc @ X0))))))
% 0.56/0.88 | (LE @ (f @ X0) @ (s @ 0)))),
% 0.56/0.88 inference('cnf', [status(esa)], [clause_8])).
% 0.56/0.88 thf(clause_37, axiom,
% 0.56/0.88 (( ~( LE @
% 0.56/0.88 ( f @ ( suc @ ( suc @ ( suc @ ( suc @ B ) ) ) ) ) @
% 0.56/0.88 ( s @ ( s @ ( s @ 0 ) ) ) ) ) |
% 0.56/0.88 ( E @
% 0.56/0.88 ( s @ ( s @ 0 ) ) @ ( f @ ( suc @ ( suc @ ( suc @ ( suc @ B ) ) ) ) ) ) |
% 0.56/0.88 ( LE @ ( f @ B ) @ ( s @ ( s @ 0 ) ) ))).
% 0.56/0.88 thf(zip_derived_cl2, plain,
% 0.56/0.88 (![X0 : $i]:
% 0.56/0.88 (~ (LE @ (f @ (suc @ (suc @ (suc @ (suc @ X0))))) @
% 0.56/0.88 (s @ (s @ (s @ 0))))
% 0.56/0.88 | (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ (suc @ (suc @ X0))))))
% 0.56/0.88 | (LE @ (f @ X0) @ (s @ (s @ 0))))),
% 0.56/0.88 inference('cnf', [status(esa)], [clause_37])).
% 0.56/0.88 thf(clause_51, axiom, (LE @ ( f @ A ) @ ( s @ ( s @ ( s @ 0 ) ) ))).
% 0.56/0.88 thf(zip_derived_cl20, plain,
% 0.56/0.88 (![X0 : $i]: (LE @ (f @ X0) @ (s @ (s @ (s @ 0))))),
% 0.56/0.88 inference('cnf', [status(esa)], [clause_51])).
% 0.56/0.88 thf(zip_derived_cl117, plain,
% 0.56/0.88 (![X0 : $i]:
% 0.56/0.88 ( (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ (suc @ (suc @ X0))))))
% 0.56/0.88 | (LE @ (f @ X0) @ (s @ (s @ 0))))),
% 0.56/0.88 inference('demod', [status(thm)], [zip_derived_cl2, zip_derived_cl20])).
% 0.56/0.88 thf(clause_4, axiom,
% 0.56/0.88 (( ~( E @ ( s @ ( s @ 0 ) ) @ ( f @ A_1 ) ) ) |
% 0.56/0.88 ( ~( E @ ( s @ ( s @ 0 ) ) @ ( f @ ( suc @ A_1 ) ) ) ) |
% 0.56/0.88 ( ~( E @
% 0.56/0.88 ( s @ ( s @ 0 ) ) @
% 0.56/0.88 ( f @ ( suc @ ( suc @ ( suc @ ( suc @ A_1 ) ) ) ) ) ) ) |
% 0.56/0.88 ( ~( E @ ( f @ A_1 ) @ ( f @ ( suc @ ( suc @ ( suc @ A_1 ) ) ) ) ) ) |
% 0.56/0.88 ( ~( E @ ( f @ A_1 ) @ ( f @ ( suc @ ( suc @ A_1 ) ) ) ) ) |
% 0.56/0.88 ( ~( E @ ( s @ ( s @ 0 ) ) @ ( f @ ( suc @ ( suc @ ( suc @ A_1 ) ) ) ) ) ) |
% 0.56/0.88 ( ~( E @ ( f @ A_1 ) @ ( f @ ( suc @ A_1 ) ) ) ) |
% 0.56/0.88 ( ~( E @ ( s @ ( s @ 0 ) ) @ ( f @ ( suc @ ( suc @ A_1 ) ) ) ) ))).
% 0.56/0.88 thf(zip_derived_cl13, plain,
% 0.56/0.88 (![X0 : $i]:
% 0.56/0.88 (~ (E @ (s @ (s @ 0)) @ (f @ X0))
% 0.56/0.88 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 0.56/0.88 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ (suc @ (suc @ X0))))))
% 0.56/0.88 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 0.56/0.88 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 0.56/0.88 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 0.56/0.88 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.56/0.88 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ X0)))))),
% 0.56/0.88 inference('cnf', [status(esa)], [clause_4])).
% 0.56/0.88 thf(clause_44, axiom,
% 0.56/0.88 (( ~( E @ ( s @ ( s @ 0 ) ) @ ( f @ ( suc @ ( suc @ A_1 ) ) ) ) ) |
% 0.56/0.88 ( ~( E @ ( s @ ( s @ 0 ) ) @ ( f @ ( suc @ A_1 ) ) ) ) |
% 0.56/0.88 ( ~( E @ ( f @ A_1 ) @ ( f @ ( suc @ A_1 ) ) ) ) |
% 0.56/0.88 ( ~( E @ ( s @ ( s @ 0 ) ) @ ( f @ A_1 ) ) ) |
% 0.56/0.88 ( E @ ( f @ A_1 ) @ ( f @ ( suc @ ( suc @ A_1 ) ) ) ))).
% 0.56/0.88 thf(zip_derived_cl0, plain,
% 0.56/0.88 (![X0 : $i]:
% 0.56/0.88 (~ (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ X0))))
% 0.56/0.88 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 0.56/0.88 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.56/0.88 | ~ (E @ (s @ (s @ 0)) @ (f @ X0))
% 0.56/0.88 | (E @ (f @ X0) @ (f @ (suc @ (suc @ X0)))))),
% 0.56/0.88 inference('cnf', [status(esa)], [clause_44])).
% 0.56/0.88 thf(clause_21, axiom,
% 0.56/0.88 (( ~( E @ ( s @ ( s @ 0 ) ) @ ( f @ A_1 ) ) ) |
% 0.56/0.88 ( ~( E @ ( s @ ( s @ 0 ) ) @ ( f @ ( suc @ A_1 ) ) ) ) |
% 0.56/0.88 ( E @ ( f @ A_1 ) @ ( f @ ( suc @ A_1 ) ) ))).
% 0.56/0.88 thf(zip_derived_cl11, plain,
% 0.56/0.88 (![X0 : $i]:
% 0.56/0.88 (~ (E @ (s @ (s @ 0)) @ (f @ X0))
% 0.56/0.88 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 0.56/0.88 | (E @ (f @ X0) @ (f @ (suc @ X0))))),
% 0.56/0.88 inference('cnf', [status(esa)], [clause_21])).
% 0.56/0.88 thf(zip_derived_cl29, plain,
% 0.56/0.88 (![X0 : $i]:
% 0.56/0.88 ( (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 0.56/0.88 | ~ (E @ (s @ (s @ 0)) @ (f @ X0))
% 0.56/0.88 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 0.56/0.88 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ X0)))))),
% 0.56/0.88 inference('clc', [status(thm)], [zip_derived_cl0, zip_derived_cl11])).
% 0.56/0.88 thf(zip_derived_cl74, plain,
% 0.56/0.88 (![X0 : $i]:
% 0.56/0.88 (~ (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ X0))))
% 0.56/0.88 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.56/0.88 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 0.56/0.88 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 0.56/0.88 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ (suc @ (suc @ X0))))))
% 0.56/0.88 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 0.56/0.88 | ~ (E @ (s @ (s @ 0)) @ (f @ X0)))),
% 0.56/0.88 inference('clc', [status(thm)], [zip_derived_cl13, zip_derived_cl29])).
% 0.56/0.88 thf(zip_derived_cl11, plain,
% 0.56/0.88 (![X0 : $i]:
% 0.56/0.88 (~ (E @ (s @ (s @ 0)) @ (f @ X0))
% 0.56/0.88 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 0.56/0.88 | (E @ (f @ X0) @ (f @ (suc @ X0))))),
% 0.56/0.88 inference('cnf', [status(esa)], [clause_21])).
% 0.56/0.88 thf(zip_derived_cl75, plain,
% 0.56/0.88 (![X0 : $i]:
% 0.56/0.88 (~ (E @ (s @ (s @ 0)) @ (f @ X0))
% 0.56/0.88 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 0.56/0.88 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ (suc @ (suc @ X0))))))
% 0.56/0.88 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 0.56/0.88 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 0.56/0.88 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ X0)))))),
% 0.56/0.88 inference('clc', [status(thm)], [zip_derived_cl74, zip_derived_cl11])).
% 0.56/0.88 thf(zip_derived_cl122, plain,
% 0.56/0.88 (![X0 : $i]:
% 0.56/0.88 ( (LE @ (f @ X0) @ (s @ (s @ 0)))
% 0.56/0.88 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ X0))))
% 0.56/0.88 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 0.56/0.88 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 0.56/0.88 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 0.56/0.88 | ~ (E @ (s @ (s @ 0)) @ (f @ X0)))),
% 0.56/0.88 inference('sup-', [status(thm)], [zip_derived_cl117, zip_derived_cl75])).
% 0.56/0.88 thf(clause_6, axiom,
% 0.56/0.88 (( ~( LE @ ( f @ ( suc @ ( suc @ B ) ) ) @ ( s @ ( s @ ( s @ 0 ) ) ) ) ) |
% 0.56/0.88 ( E @ ( s @ ( s @ 0 ) ) @ ( f @ ( suc @ ( suc @ B ) ) ) ) |
% 0.56/0.88 ( LE @ ( f @ B ) @ ( s @ ( s @ 0 ) ) ))).
% 0.56/0.88 thf(zip_derived_cl27, plain,
% 0.56/0.88 (![X0 : $i]:
% 0.56/0.88 (~ (LE @ (f @ (suc @ (suc @ X0))) @ (s @ (s @ (s @ 0))))
% 0.56/0.88 | (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ X0))))
% 0.56/0.88 | (LE @ (f @ X0) @ (s @ (s @ 0))))),
% 0.56/0.88 inference('cnf', [status(esa)], [clause_6])).
% 0.56/0.88 thf(zip_derived_cl20, plain,
% 0.56/0.88 (![X0 : $i]: (LE @ (f @ X0) @ (s @ (s @ (s @ 0))))),
% 0.56/0.88 inference('cnf', [status(esa)], [clause_51])).
% 0.56/0.88 thf(zip_derived_cl66, plain,
% 0.56/0.88 (![X0 : $i]:
% 0.56/0.88 ( (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ X0))))
% 0.56/0.88 | (LE @ (f @ X0) @ (s @ (s @ 0))))),
% 0.56/0.88 inference('demod', [status(thm)], [zip_derived_cl27, zip_derived_cl20])).
% 0.56/0.88 thf(zip_derived_cl149, plain,
% 0.56/0.88 (![X0 : $i]:
% 0.56/0.88 (~ (E @ (s @ (s @ 0)) @ (f @ X0))
% 0.56/0.88 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 0.56/0.88 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 0.56/0.88 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 0.56/0.88 | (LE @ (f @ X0) @ (s @ (s @ 0))))),
% 0.56/0.88 inference('clc', [status(thm)], [zip_derived_cl122, zip_derived_cl66])).
% 0.56/0.88 thf(clause_2, axiom,
% 0.56/0.88 (( ~( LE @ ( f @ B ) @ ( s @ ( s @ ( s @ 0 ) ) ) ) ) |
% 0.56/0.88 ( E @ ( s @ ( s @ 0 ) ) @ ( f @ B ) ) |
% 0.56/0.88 ( LE @ ( f @ B ) @ ( s @ ( s @ 0 ) ) ))).
% 0.56/0.88 thf(zip_derived_cl12, plain,
% 0.56/0.88 (![X0 : $i]:
% 0.56/0.88 (~ (LE @ (f @ X0) @ (s @ (s @ (s @ 0))))
% 0.56/0.88 | (E @ (s @ (s @ 0)) @ (f @ X0))
% 0.56/0.88 | (LE @ (f @ X0) @ (s @ (s @ 0))))),
% 0.56/0.88 inference('cnf', [status(esa)], [clause_2])).
% 0.56/0.88 thf(zip_derived_cl20, plain,
% 0.56/0.88 (![X0 : $i]: (LE @ (f @ X0) @ (s @ (s @ (s @ 0))))),
% 0.56/0.88 inference('cnf', [status(esa)], [clause_51])).
% 0.56/0.88 thf(zip_derived_cl30, plain,
% 0.56/0.88 (![X0 : $i]:
% 0.56/0.88 ( (E @ (s @ (s @ 0)) @ (f @ X0)) | (LE @ (f @ X0) @ (s @ (s @ 0))))),
% 0.56/0.88 inference('demod', [status(thm)], [zip_derived_cl12, zip_derived_cl20])).
% 0.56/0.88 thf(zip_derived_cl150, plain,
% 0.56/0.88 (![X0 : $i]:
% 0.56/0.88 ( (LE @ (f @ X0) @ (s @ (s @ 0)))
% 0.56/0.88 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 0.56/0.88 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 0.56/0.88 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0))))),
% 0.56/0.88 inference('clc', [status(thm)], [zip_derived_cl149, zip_derived_cl30])).
% 0.56/0.88 thf(clause_40, axiom,
% 0.56/0.88 (( ~( LE @
% 0.56/0.88 ( f @ ( suc @ ( suc @ ( suc @ B ) ) ) ) @ ( s @ ( s @ ( s @ 0 ) ) ) ) ) |
% 0.56/0.88 ( E @ ( s @ ( s @ 0 ) ) @ ( f @ ( suc @ ( suc @ ( suc @ B ) ) ) ) ) |
% 0.56/0.88 ( LE @ ( f @ B ) @ ( s @ ( s @ 0 ) ) ))).
% 0.56/0.88 thf(zip_derived_cl18, plain,
% 0.56/0.88 (![X0 : $i]:
% 0.56/0.88 (~ (LE @ (f @ (suc @ (suc @ (suc @ X0)))) @ (s @ (s @ (s @ 0))))
% 0.56/0.88 | (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 0.56/0.88 | (LE @ (f @ X0) @ (s @ (s @ 0))))),
% 0.56/0.88 inference('cnf', [status(esa)], [clause_40])).
% 0.56/0.88 thf(zip_derived_cl20, plain,
% 0.56/0.88 (![X0 : $i]: (LE @ (f @ X0) @ (s @ (s @ (s @ 0))))),
% 0.56/0.88 inference('cnf', [status(esa)], [clause_51])).
% 0.56/0.88 thf(zip_derived_cl83, plain,
% 0.56/0.88 (![X0 : $i]:
% 0.56/0.88 ( (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 0.56/0.88 | (LE @ (f @ X0) @ (s @ (s @ 0))))),
% 0.56/0.88 inference('demod', [status(thm)], [zip_derived_cl18, zip_derived_cl20])).
% 0.56/0.88 thf(zip_derived_cl151, plain,
% 0.56/0.88 (![X0 : $i]:
% 0.56/0.88 (~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 0.56/0.88 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 0.56/0.88 | (LE @ (f @ X0) @ (s @ (s @ 0))))),
% 0.56/0.88 inference('clc', [status(thm)], [zip_derived_cl150, zip_derived_cl83])).
% 0.56/0.88 thf(clause_42, axiom,
% 0.56/0.88 (( ~( LE @ ( f @ ( suc @ B ) ) @ ( s @ ( s @ ( s @ 0 ) ) ) ) ) |
% 0.56/0.88 ( E @ ( s @ ( s @ 0 ) ) @ ( f @ ( suc @ B ) ) ) |
% 0.56/0.88 ( LE @ ( f @ B ) @ ( s @ ( s @ 0 ) ) ))).
% 0.56/0.88 thf(zip_derived_cl17, plain,
% 0.56/0.88 (![X0 : $i]:
% 0.56/0.88 (~ (LE @ (f @ (suc @ X0)) @ (s @ (s @ (s @ 0))))
% 0.56/0.88 | (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 0.56/0.88 | (LE @ (f @ X0) @ (s @ (s @ 0))))),
% 0.56/0.88 inference('cnf', [status(esa)], [clause_42])).
% 0.56/0.88 thf(zip_derived_cl20, plain,
% 0.56/0.88 (![X0 : $i]: (LE @ (f @ X0) @ (s @ (s @ (s @ 0))))),
% 0.56/0.88 inference('cnf', [status(esa)], [clause_51])).
% 0.56/0.88 thf(zip_derived_cl38, plain,
% 0.56/0.88 (![X0 : $i]:
% 0.56/0.88 ( (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 0.56/0.88 | (LE @ (f @ X0) @ (s @ (s @ 0))))),
% 0.56/0.88 inference('demod', [status(thm)], [zip_derived_cl17, zip_derived_cl20])).
% 0.56/0.88 thf(zip_derived_cl152, plain,
% 0.56/0.88 (![X0 : $i]:
% 0.56/0.88 ( (LE @ (f @ X0) @ (s @ (s @ 0)))
% 0.56/0.88 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ (suc @ X0))))))),
% 0.56/0.88 inference('clc', [status(thm)], [zip_derived_cl151, zip_derived_cl38])).
% 0.56/0.88 thf(clause_27, axiom,
% 0.56/0.88 (( ~( E @ ( s @ ( s @ 0 ) ) @ ( f @ A_1 ) ) ) |
% 0.56/0.88 ( ~( E @ ( s @ ( s @ 0 ) ) @ ( f @ ( suc @ A_1 ) ) ) ) |
% 0.56/0.88 ( ~( E @ ( f @ A_1 ) @ ( f @ ( suc @ ( suc @ A_1 ) ) ) ) ) |
% 0.56/0.88 ( ~( E @ ( s @ ( s @ 0 ) ) @ ( f @ ( suc @ ( suc @ ( suc @ A_1 ) ) ) ) ) ) |
% 0.56/0.88 ( ~( E @ ( f @ A_1 ) @ ( f @ ( suc @ A_1 ) ) ) ) |
% 0.56/0.88 ( ~( E @ ( s @ ( s @ 0 ) ) @ ( f @ ( suc @ ( suc @ A_1 ) ) ) ) ) |
% 0.56/0.88 ( E @ ( f @ A_1 ) @ ( f @ ( suc @ ( suc @ ( suc @ A_1 ) ) ) ) ))).
% 0.56/0.88 thf(zip_derived_cl6, plain,
% 0.56/0.88 (![X0 : $i]:
% 0.56/0.88 (~ (E @ (s @ (s @ 0)) @ (f @ X0))
% 0.56/0.88 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 0.56/0.88 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 0.56/0.88 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 0.56/0.88 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.56/0.88 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ X0))))
% 0.56/0.88 | (E @ (f @ X0) @ (f @ (suc @ (suc @ (suc @ X0))))))),
% 0.56/0.88 inference('cnf', [status(esa)], [clause_27])).
% 0.56/0.88 thf(zip_derived_cl29, plain,
% 0.56/0.88 (![X0 : $i]:
% 0.56/0.88 ( (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 0.56/0.88 | ~ (E @ (s @ (s @ 0)) @ (f @ X0))
% 0.56/0.88 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 0.56/0.88 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ X0)))))),
% 0.56/0.88 inference('clc', [status(thm)], [zip_derived_cl0, zip_derived_cl11])).
% 0.56/0.88 thf(zip_derived_cl131, plain,
% 0.56/0.88 (![X0 : $i]:
% 0.56/0.88 ( (E @ (f @ X0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 0.56/0.88 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ X0))))
% 0.56/0.88 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.56/0.88 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 0.56/0.88 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 0.56/0.88 | ~ (E @ (s @ (s @ 0)) @ (f @ X0)))),
% 0.56/0.88 inference('clc', [status(thm)], [zip_derived_cl6, zip_derived_cl29])).
% 0.56/0.88 thf(zip_derived_cl11, plain,
% 0.56/0.88 (![X0 : $i]:
% 0.56/0.88 (~ (E @ (s @ (s @ 0)) @ (f @ X0))
% 0.56/0.88 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 0.56/0.88 | (E @ (f @ X0) @ (f @ (suc @ X0))))),
% 0.56/0.88 inference('cnf', [status(esa)], [clause_21])).
% 0.56/0.88 thf(zip_derived_cl132, plain,
% 0.56/0.88 (![X0 : $i]:
% 0.56/0.88 (~ (E @ (s @ (s @ 0)) @ (f @ X0))
% 0.56/0.88 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 0.56/0.88 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 0.56/0.88 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ X0))))
% 0.56/0.88 | (E @ (f @ X0) @ (f @ (suc @ (suc @ (suc @ X0))))))),
% 0.56/0.88 inference('clc', [status(thm)], [zip_derived_cl131, zip_derived_cl11])).
% 0.56/0.88 thf(zip_derived_cl156, plain,
% 0.56/0.88 (![X0 : $i]:
% 0.56/0.88 ( (LE @ (f @ X0) @ (s @ (s @ 0)))
% 0.56/0.88 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ X0))))
% 0.56/0.88 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 0.56/0.88 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 0.56/0.88 | ~ (E @ (s @ (s @ 0)) @ (f @ X0)))),
% 0.56/0.88 inference('sup+', [status(thm)], [zip_derived_cl152, zip_derived_cl132])).
% 0.56/0.88 thf(zip_derived_cl66, plain,
% 0.56/0.88 (![X0 : $i]:
% 0.56/0.88 ( (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ X0))))
% 0.56/0.88 | (LE @ (f @ X0) @ (s @ (s @ 0))))),
% 0.56/0.88 inference('demod', [status(thm)], [zip_derived_cl27, zip_derived_cl20])).
% 0.56/0.88 thf(zip_derived_cl196, plain,
% 0.56/0.88 (![X0 : $i]:
% 0.56/0.88 (~ (E @ (s @ (s @ 0)) @ (f @ X0))
% 0.56/0.88 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 0.56/0.88 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 0.56/0.88 | (LE @ (f @ X0) @ (s @ (s @ 0))))),
% 0.56/0.88 inference('clc', [status(thm)], [zip_derived_cl156, zip_derived_cl66])).
% 0.56/0.88 thf(zip_derived_cl30, plain,
% 0.56/0.88 (![X0 : $i]:
% 0.56/0.88 ( (E @ (s @ (s @ 0)) @ (f @ X0)) | (LE @ (f @ X0) @ (s @ (s @ 0))))),
% 0.56/0.88 inference('demod', [status(thm)], [zip_derived_cl12, zip_derived_cl20])).
% 0.56/0.88 thf(zip_derived_cl197, plain,
% 0.56/0.88 (![X0 : $i]:
% 0.56/0.88 ( (LE @ (f @ X0) @ (s @ (s @ 0)))
% 0.56/0.88 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 0.56/0.88 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0))))),
% 0.56/0.88 inference('clc', [status(thm)], [zip_derived_cl196, zip_derived_cl30])).
% 0.56/0.88 thf(zip_derived_cl83, plain,
% 0.56/0.88 (![X0 : $i]:
% 0.56/0.88 ( (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 0.56/0.88 | (LE @ (f @ X0) @ (s @ (s @ 0))))),
% 0.56/0.88 inference('demod', [status(thm)], [zip_derived_cl18, zip_derived_cl20])).
% 0.56/0.88 thf(zip_derived_cl198, plain,
% 0.56/0.88 (![X0 : $i]:
% 0.56/0.88 (~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 0.56/0.88 | (LE @ (f @ X0) @ (s @ (s @ 0))))),
% 0.56/0.88 inference('clc', [status(thm)], [zip_derived_cl197, zip_derived_cl83])).
% 0.56/0.88 thf(zip_derived_cl38, plain,
% 0.56/0.88 (![X0 : $i]:
% 0.56/0.88 ( (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 0.56/0.88 | (LE @ (f @ X0) @ (s @ (s @ 0))))),
% 0.56/0.88 inference('demod', [status(thm)], [zip_derived_cl17, zip_derived_cl20])).
% 0.56/0.88 thf(zip_derived_cl199, plain, (![X0 : $i]: (LE @ (f @ X0) @ (s @ (s @ 0)))),
% 0.56/0.88 inference('clc', [status(thm)], [zip_derived_cl198, zip_derived_cl38])).
% 0.56/0.88 thf(zip_derived_cl200, plain,
% 0.56/0.88 (![X0 : $i]:
% 0.56/0.88 ( (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ (suc @ X0))))))
% 0.56/0.88 | (LE @ (f @ X0) @ (s @ 0)))),
% 0.56/0.88 inference('demod', [status(thm)], [zip_derived_cl3, zip_derived_cl199])).
% 0.56/0.88 thf(clause_49, axiom,
% 0.56/0.88 (( ~( E @ ( f @ A_2 ) @ ( f @ ( suc @ ( suc @ A_2 ) ) ) ) ) |
% 0.56/0.88 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ A_2 ) ) ) ) |
% 0.56/0.88 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ ( suc @ ( suc @ ( suc @ A_2 ) ) ) ) ) ) ) |
% 0.56/0.88 ( ~( E @ ( f @ A_2 ) @ ( f @ ( suc @ ( suc @ ( suc @ A_2 ) ) ) ) ) ) |
% 0.56/0.88 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ ( suc @ A_2 ) ) ) ) ) |
% 0.56/0.88 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ ( suc @ ( suc @ A_2 ) ) ) ) ) ) |
% 0.56/0.88 ( ~( E @ ( f @ A_2 ) @ ( f @ ( suc @ A_2 ) ) ) ) |
% 0.56/0.88 ( ~( E @ ( s @ 0 ) @ ( f @ A_2 ) ) ))).
% 0.56/0.88 thf(zip_derived_cl4, plain,
% 0.56/0.88 (![X0 : $i]:
% 0.56/0.88 (~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 0.56/0.88 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 0.56/0.88 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ (suc @ X0))))))
% 0.56/0.88 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 0.56/0.88 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 0.56/0.88 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 0.56/0.88 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.56/0.88 | ~ (E @ (s @ 0) @ (f @ X0)))),
% 0.56/0.88 inference('cnf', [status(esa)], [clause_49])).
% 0.56/0.88 thf(clause_22, axiom,
% 0.56/0.88 (( ~( E @ ( s @ 0 ) @ ( f @ A_2 ) ) ) |
% 0.56/0.88 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ A_2 ) ) ) ) |
% 0.56/0.88 ( E @ ( f @ A_2 ) @ ( f @ ( suc @ A_2 ) ) ))).
% 0.56/0.88 thf(zip_derived_cl23, plain,
% 0.56/0.88 (![X0 : $i]:
% 0.56/0.88 (~ (E @ (s @ 0) @ (f @ X0))
% 0.56/0.88 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 0.56/0.88 | (E @ (f @ X0) @ (f @ (suc @ X0))))),
% 0.56/0.88 inference('cnf', [status(esa)], [clause_22])).
% 0.56/0.88 thf(zip_derived_cl64, plain,
% 0.56/0.88 (![X0 : $i]:
% 0.56/0.88 (~ (E @ (s @ 0) @ (f @ X0))
% 0.56/0.88 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 0.56/0.88 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 0.56/0.88 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 0.56/0.88 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ (suc @ X0))))))
% 0.56/0.88 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 0.56/0.88 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0)))))),
% 0.56/0.88 inference('clc', [status(thm)], [zip_derived_cl4, zip_derived_cl23])).
% 0.56/0.88 thf(zip_derived_cl252, plain,
% 0.56/0.88 (![X0 : $i]:
% 0.56/0.88 ( (LE @ (f @ X0) @ (s @ 0))
% 0.56/0.88 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 0.56/0.88 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 0.56/0.88 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 0.56/0.88 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 0.56/0.88 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 0.56/0.88 | ~ (E @ (s @ 0) @ (f @ X0)))),
% 0.56/0.88 inference('sup-', [status(thm)], [zip_derived_cl200, zip_derived_cl64])).
% 0.56/0.88 thf(clause_33, axiom,
% 0.56/0.88 (( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ ( suc @ A_2 ) ) ) ) ) |
% 0.56/0.88 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ A_2 ) ) ) ) |
% 0.56/0.88 ( ~( E @ ( f @ A_2 ) @ ( f @ ( suc @ A_2 ) ) ) ) |
% 0.56/0.88 ( ~( E @ ( s @ 0 ) @ ( f @ A_2 ) ) ) |
% 0.56/0.88 ( E @ ( f @ A_2 ) @ ( f @ ( suc @ ( suc @ A_2 ) ) ) ))).
% 0.56/0.88 thf(zip_derived_cl1, plain,
% 0.56/0.88 (![X0 : $i]:
% 0.56/0.88 (~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 0.56/0.88 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 0.56/0.88 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.56/0.88 | ~ (E @ (s @ 0) @ (f @ X0))
% 0.56/0.88 | (E @ (f @ X0) @ (f @ (suc @ (suc @ X0)))))),
% 0.56/0.88 inference('cnf', [status(esa)], [clause_33])).
% 0.56/0.88 thf(zip_derived_cl23, plain,
% 0.56/0.88 (![X0 : $i]:
% 0.56/0.88 (~ (E @ (s @ 0) @ (f @ X0))
% 0.56/0.88 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 0.56/0.88 | (E @ (f @ X0) @ (f @ (suc @ X0))))),
% 0.56/0.88 inference('cnf', [status(esa)], [clause_22])).
% 0.56/0.88 thf(zip_derived_cl91, plain,
% 0.56/0.88 (![X0 : $i]:
% 0.56/0.88 ( (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 0.56/0.88 | ~ (E @ (s @ 0) @ (f @ X0))
% 0.56/0.88 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 0.56/0.88 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0)))))),
% 0.56/0.88 inference('clc', [status(thm)], [zip_derived_cl1, zip_derived_cl23])).
% 0.56/0.88 thf(zip_derived_cl328, plain,
% 0.56/0.88 (![X0 : $i]:
% 0.56/0.88 (~ (E @ (s @ 0) @ (f @ X0))
% 0.56/0.88 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 0.56/0.88 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 0.56/0.88 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 0.56/0.88 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 0.56/0.88 | (LE @ (f @ X0) @ (s @ 0)))),
% 0.56/0.88 inference('clc', [status(thm)], [zip_derived_cl252, zip_derived_cl91])).
% 0.56/0.88 thf(clause_20, axiom,
% 0.56/0.88 (( ~( LE @ ( f @ B_0 ) @ ( s @ ( s @ 0 ) ) ) ) |
% 0.56/0.88 ( E @ ( s @ 0 ) @ ( f @ B_0 ) ) | ( LE @ ( f @ B_0 ) @ ( s @ 0 ) ))).
% 0.56/0.88 thf(zip_derived_cl28, plain,
% 0.56/0.88 (![X0 : $i]:
% 0.56/0.88 (~ (LE @ (f @ X0) @ (s @ (s @ 0)))
% 0.56/0.88 | (E @ (s @ 0) @ (f @ X0))
% 0.56/0.88 | (LE @ (f @ X0) @ (s @ 0)))),
% 0.56/0.88 inference('cnf', [status(esa)], [clause_20])).
% 0.56/0.88 thf(zip_derived_cl199, plain, (![X0 : $i]: (LE @ (f @ X0) @ (s @ (s @ 0)))),
% 0.56/0.88 inference('clc', [status(thm)], [zip_derived_cl198, zip_derived_cl38])).
% 0.56/0.88 thf(zip_derived_cl204, plain,
% 0.56/0.88 (![X0 : $i]: ( (E @ (s @ 0) @ (f @ X0)) | (LE @ (f @ X0) @ (s @ 0)))),
% 0.56/0.88 inference('demod', [status(thm)], [zip_derived_cl28, zip_derived_cl199])).
% 0.56/0.88 thf(zip_derived_cl329, plain,
% 0.56/0.88 (![X0 : $i]:
% 0.56/0.88 ( (LE @ (f @ X0) @ (s @ 0))
% 0.56/0.88 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 0.56/0.88 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 0.56/0.88 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 0.56/0.88 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ X0))))))),
% 0.56/0.88 inference('clc', [status(thm)], [zip_derived_cl328, zip_derived_cl204])).
% 0.56/0.88 thf(clause_3, axiom,
% 0.56/0.88 (( ~( LE @ ( f @ ( suc @ B_0 ) ) @ ( s @ ( s @ 0 ) ) ) ) |
% 0.56/0.88 ( E @ ( s @ 0 ) @ ( f @ ( suc @ B_0 ) ) ) |
% 0.56/0.88 ( LE @ ( f @ B_0 ) @ ( s @ 0 ) ))).
% 0.56/0.88 thf(zip_derived_cl21, plain,
% 0.56/0.88 (![X0 : $i]:
% 0.56/0.88 (~ (LE @ (f @ (suc @ X0)) @ (s @ (s @ 0)))
% 0.56/0.88 | (E @ (s @ 0) @ (f @ (suc @ X0)))
% 0.56/0.88 | (LE @ (f @ X0) @ (s @ 0)))),
% 0.56/0.88 inference('cnf', [status(esa)], [clause_3])).
% 0.56/0.88 thf(zip_derived_cl199, plain, (![X0 : $i]: (LE @ (f @ X0) @ (s @ (s @ 0)))),
% 0.56/0.88 inference('clc', [status(thm)], [zip_derived_cl198, zip_derived_cl38])).
% 0.56/0.88 thf(zip_derived_cl202, plain,
% 0.56/0.88 (![X0 : $i]:
% 0.56/0.88 ( (E @ (s @ 0) @ (f @ (suc @ X0))) | (LE @ (f @ X0) @ (s @ 0)))),
% 0.56/0.88 inference('demod', [status(thm)], [zip_derived_cl21, zip_derived_cl199])).
% 0.56/0.88 thf(zip_derived_cl330, plain,
% 0.56/0.88 (![X0 : $i]:
% 0.56/0.88 (~ (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 0.56/0.88 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 0.56/0.88 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 0.56/0.88 | (LE @ (f @ X0) @ (s @ 0)))),
% 0.56/0.88 inference('clc', [status(thm)], [zip_derived_cl329, zip_derived_cl202])).
% 0.56/0.88 thf(clause_30, axiom,
% 0.56/0.88 (( ~( LE @ ( f @ ( suc @ ( suc @ ( suc @ B_0 ) ) ) ) @ ( s @ ( s @ 0 ) ) ) ) |
% 0.56/0.88 ( E @ ( s @ 0 ) @ ( f @ ( suc @ ( suc @ ( suc @ B_0 ) ) ) ) ) |
% 0.56/0.88 ( LE @ ( f @ B_0 ) @ ( s @ 0 ) ))).
% 0.56/0.88 thf(zip_derived_cl10, plain,
% 0.56/0.88 (![X0 : $i]:
% 0.56/0.88 (~ (LE @ (f @ (suc @ (suc @ (suc @ X0)))) @ (s @ (s @ 0)))
% 0.56/0.88 | (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 0.56/0.88 | (LE @ (f @ X0) @ (s @ 0)))),
% 0.56/0.88 inference('cnf', [status(esa)], [clause_30])).
% 0.56/0.88 thf(zip_derived_cl199, plain, (![X0 : $i]: (LE @ (f @ X0) @ (s @ (s @ 0)))),
% 0.56/0.88 inference('clc', [status(thm)], [zip_derived_cl198, zip_derived_cl38])).
% 0.56/0.88 thf(zip_derived_cl201, plain,
% 0.56/0.88 (![X0 : $i]:
% 0.56/0.88 ( (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 0.56/0.88 | (LE @ (f @ X0) @ (s @ 0)))),
% 0.56/0.88 inference('demod', [status(thm)], [zip_derived_cl10, zip_derived_cl199])).
% 0.56/0.88 thf(zip_derived_cl331, plain,
% 0.56/0.88 (![X0 : $i]:
% 0.56/0.88 ( (LE @ (f @ X0) @ (s @ 0))
% 0.56/0.88 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 0.56/0.88 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0)))))),
% 0.56/0.88 inference('clc', [status(thm)], [zip_derived_cl330, zip_derived_cl201])).
% 0.56/0.88 thf(zip_derived_cl201, plain,
% 0.56/0.88 (![X0 : $i]:
% 0.56/0.88 ( (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 0.56/0.88 | (LE @ (f @ X0) @ (s @ 0)))),
% 0.56/0.88 inference('demod', [status(thm)], [zip_derived_cl10, zip_derived_cl199])).
% 0.56/0.88 thf(clause_29, axiom,
% 0.56/0.88 (( ~( E @ ( f @ A_2 ) @ ( f @ ( suc @ ( suc @ A_2 ) ) ) ) ) |
% 0.56/0.88 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ A_2 ) ) ) ) |
% 0.56/0.88 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ ( suc @ A_2 ) ) ) ) ) |
% 0.56/0.88 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ ( suc @ ( suc @ A_2 ) ) ) ) ) ) |
% 0.56/0.88 ( ~( E @ ( f @ A_2 ) @ ( f @ ( suc @ A_2 ) ) ) ) |
% 0.56/0.88 ( ~( E @ ( s @ 0 ) @ ( f @ A_2 ) ) ) |
% 0.56/0.88 ( E @ ( f @ A_2 ) @ ( f @ ( suc @ ( suc @ ( suc @ A_2 ) ) ) ) ))).
% 0.56/0.88 thf(zip_derived_cl19, plain,
% 0.56/0.88 (![X0 : $i]:
% 0.56/0.88 (~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 0.56/0.88 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 0.56/0.88 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 0.56/0.88 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 0.56/0.88 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.56/0.88 | ~ (E @ (s @ 0) @ (f @ X0))
% 0.56/0.88 | (E @ (f @ X0) @ (f @ (suc @ (suc @ (suc @ X0))))))),
% 0.56/0.88 inference('cnf', [status(esa)], [clause_29])).
% 0.56/0.88 thf(zip_derived_cl91, plain,
% 0.56/0.88 (![X0 : $i]:
% 0.56/0.88 ( (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 0.56/0.88 | ~ (E @ (s @ 0) @ (f @ X0))
% 0.56/0.88 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 0.56/0.88 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0)))))),
% 0.56/0.88 inference('clc', [status(thm)], [zip_derived_cl1, zip_derived_cl23])).
% 0.56/0.88 thf(zip_derived_cl128, plain,
% 0.56/0.88 (![X0 : $i]:
% 0.56/0.88 ( (E @ (f @ X0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 0.56/0.88 | ~ (E @ (s @ 0) @ (f @ X0))
% 0.56/0.88 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.56/0.88 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 0.56/0.88 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 0.56/0.88 | ~ (E @ (s @ 0) @ (f @ (suc @ X0))))),
% 0.56/0.88 inference('clc', [status(thm)], [zip_derived_cl19, zip_derived_cl91])).
% 0.56/0.88 thf(zip_derived_cl23, plain,
% 0.56/0.88 (![X0 : $i]:
% 0.56/0.88 (~ (E @ (s @ 0) @ (f @ X0))
% 0.56/0.88 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 0.56/0.88 | (E @ (f @ X0) @ (f @ (suc @ X0))))),
% 0.56/0.88 inference('cnf', [status(esa)], [clause_22])).
% 0.56/0.88 thf(zip_derived_cl129, plain,
% 0.56/0.88 (![X0 : $i]:
% 0.56/0.88 (~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 0.56/0.88 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 0.56/0.88 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 0.56/0.88 | ~ (E @ (s @ 0) @ (f @ X0))
% 0.56/0.88 | (E @ (f @ X0) @ (f @ (suc @ (suc @ (suc @ X0))))))),
% 0.56/0.88 inference('clc', [status(thm)], [zip_derived_cl128, zip_derived_cl23])).
% 0.56/0.88 thf(zip_derived_cl247, plain,
% 0.56/0.88 (![X0 : $i]:
% 0.56/0.88 ( (LE @ (f @ X0) @ (s @ 0))
% 0.56/0.88 | (E @ (f @ X0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 0.56/0.88 | ~ (E @ (s @ 0) @ (f @ X0))
% 0.56/0.88 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 0.56/0.88 | ~ (E @ (s @ 0) @ (f @ (suc @ X0))))),
% 0.56/0.88 inference('sup-', [status(thm)], [zip_derived_cl201, zip_derived_cl129])).
% 0.56/0.88 thf(zip_derived_cl204, plain,
% 0.56/0.88 (![X0 : $i]: ( (E @ (s @ 0) @ (f @ X0)) | (LE @ (f @ X0) @ (s @ 0)))),
% 0.56/0.88 inference('demod', [status(thm)], [zip_derived_cl28, zip_derived_cl199])).
% 0.56/0.88 thf(zip_derived_cl310, plain,
% 0.56/0.88 (![X0 : $i]:
% 0.56/0.88 (~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 0.56/0.88 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 0.56/0.88 | (E @ (f @ X0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 0.56/0.88 | (LE @ (f @ X0) @ (s @ 0)))),
% 0.56/0.88 inference('clc', [status(thm)], [zip_derived_cl247, zip_derived_cl204])).
% 0.56/0.88 thf(zip_derived_cl202, plain,
% 0.56/0.88 (![X0 : $i]:
% 0.56/0.88 ( (E @ (s @ 0) @ (f @ (suc @ X0))) | (LE @ (f @ X0) @ (s @ 0)))),
% 0.56/0.88 inference('demod', [status(thm)], [zip_derived_cl21, zip_derived_cl199])).
% 0.56/0.88 thf(zip_derived_cl311, plain,
% 0.56/0.88 (![X0 : $i]:
% 0.56/0.88 ( (LE @ (f @ X0) @ (s @ 0))
% 0.56/0.88 | (E @ (f @ X0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 0.56/0.88 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0)))))),
% 0.56/0.88 inference('clc', [status(thm)], [zip_derived_cl310, zip_derived_cl202])).
% 0.56/0.88 thf(clause_43, axiom,
% 0.56/0.88 (( ~( LE @ ( f @ ( suc @ ( suc @ B_0 ) ) ) @ ( s @ ( s @ 0 ) ) ) ) |
% 0.56/0.88 ( E @ ( s @ 0 ) @ ( f @ ( suc @ ( suc @ B_0 ) ) ) ) |
% 0.56/0.88 ( LE @ ( f @ B_0 ) @ ( s @ 0 ) ))).
% 0.56/0.88 thf(zip_derived_cl25, plain,
% 0.56/0.88 (![X0 : $i]:
% 0.56/0.88 (~ (LE @ (f @ (suc @ (suc @ X0))) @ (s @ (s @ 0)))
% 0.56/0.88 | (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 0.56/0.88 | (LE @ (f @ X0) @ (s @ 0)))),
% 0.56/0.88 inference('cnf', [status(esa)], [clause_43])).
% 0.56/0.88 thf(zip_derived_cl199, plain, (![X0 : $i]: (LE @ (f @ X0) @ (s @ (s @ 0)))),
% 0.56/0.88 inference('clc', [status(thm)], [zip_derived_cl198, zip_derived_cl38])).
% 0.56/0.88 thf(zip_derived_cl203, plain,
% 0.56/0.88 (![X0 : $i]:
% 0.56/0.88 ( (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 0.56/0.88 | (LE @ (f @ X0) @ (s @ 0)))),
% 0.56/0.88 inference('demod', [status(thm)], [zip_derived_cl25, zip_derived_cl199])).
% 0.56/0.88 thf(zip_derived_cl312, plain,
% 0.56/0.88 (![X0 : $i]:
% 0.56/0.88 ( (E @ (f @ X0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 0.56/0.88 | (LE @ (f @ X0) @ (s @ 0)))),
% 0.56/0.88 inference('clc', [status(thm)], [zip_derived_cl311, zip_derived_cl203])).
% 0.56/0.88 thf(zip_derived_cl332, plain,
% 0.56/0.88 (![X0 : $i]:
% 0.56/0.88 (~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 0.56/0.88 | (LE @ (f @ X0) @ (s @ 0)))),
% 0.56/0.88 inference('clc', [status(thm)], [zip_derived_cl331, zip_derived_cl312])).
% 0.56/0.88 thf(zip_derived_cl203, plain,
% 0.56/0.88 (![X0 : $i]:
% 0.56/0.88 ( (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 0.56/0.88 | (LE @ (f @ X0) @ (s @ 0)))),
% 0.56/0.88 inference('demod', [status(thm)], [zip_derived_cl25, zip_derived_cl199])).
% 0.56/0.88 thf(zip_derived_cl333, plain, (![X0 : $i]: (LE @ (f @ X0) @ (s @ 0))),
% 0.56/0.88 inference('clc', [status(thm)], [zip_derived_cl332, zip_derived_cl203])).
% 0.56/0.88 thf(zip_derived_cl338, plain,
% 0.56/0.88 (![X0 : $i]:
% 0.56/0.88 ( (E @ 0 @ (f @ (suc @ (suc @ (suc @ (suc @ X0))))))
% 0.56/0.88 | (LE @ (f @ X0) @ 0))),
% 0.56/0.88 inference('demod', [status(thm)], [zip_derived_cl26, zip_derived_cl333])).
% 0.56/0.88 thf(clause_32, axiom,
% 0.56/0.88 (( ~( E @ ( f @ A_3 ) @ ( f @ ( suc @ ( suc @ A_3 ) ) ) ) ) |
% 0.56/0.88 ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ ( suc @ A_3 ) ) ) ) ) ) |
% 0.56/0.88 ( ~( E @ 0 @ ( f @ A_3 ) ) ) |
% 0.56/0.88 ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ A_3 ) ) ) ) ) |
% 0.56/0.88 ( ~( E @ 0 @ ( f @ ( suc @ A_3 ) ) ) ) |
% 0.56/0.88 ( ~( E @ ( f @ A_3 ) @ ( f @ ( suc @ A_3 ) ) ) ) |
% 0.56/0.88 ( E @ ( f @ A_3 ) @ ( f @ ( suc @ ( suc @ ( suc @ A_3 ) ) ) ) ))).
% 0.56/0.88 thf(zip_derived_cl24, plain,
% 0.56/0.88 (![X0 : $i]:
% 0.56/0.88 (~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 0.56/0.88 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0)))))
% 0.56/0.88 | ~ (E @ 0 @ (f @ X0))
% 0.56/0.88 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 0.56/0.88 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.56/0.88 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.56/0.88 | (E @ (f @ X0) @ (f @ (suc @ (suc @ (suc @ X0))))))),
% 0.56/0.88 inference('cnf', [status(esa)], [clause_32])).
% 0.56/0.88 thf(clause_24, axiom,
% 0.56/0.88 (( ~( E @ 0 @ ( f @ ( suc @ ( suc @ A_3 ) ) ) ) ) |
% 0.56/0.88 ( ~( E @ 0 @ ( f @ ( suc @ A_3 ) ) ) ) |
% 0.56/0.88 ( ~( E @ ( f @ A_3 ) @ ( f @ ( suc @ A_3 ) ) ) ) |
% 0.56/0.88 ( ~( E @ 0 @ ( f @ A_3 ) ) ) |
% 0.56/0.88 ( E @ ( f @ A_3 ) @ ( f @ ( suc @ ( suc @ A_3 ) ) ) ))).
% 0.56/0.88 thf(zip_derived_cl5, plain,
% 0.56/0.88 (![X0 : $i]:
% 0.56/0.88 (~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 0.56/0.88 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.56/0.88 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.56/0.88 | ~ (E @ 0 @ (f @ X0))
% 0.56/0.88 | (E @ (f @ X0) @ (f @ (suc @ (suc @ X0)))))),
% 0.56/0.88 inference('cnf', [status(esa)], [clause_24])).
% 0.56/0.88 thf(clause_23, axiom,
% 0.56/0.88 (( ~( E @ 0 @ ( f @ A_3 ) ) ) | ( ~( E @ 0 @ ( f @ ( suc @ A_3 ) ) ) ) |
% 0.56/0.88 ( E @ ( f @ A_3 ) @ ( f @ ( suc @ A_3 ) ) ))).
% 0.56/0.88 thf(zip_derived_cl15, plain,
% 0.56/0.88 (![X0 : $i]:
% 0.56/0.88 (~ (E @ 0 @ (f @ X0))
% 0.56/0.88 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.56/0.88 | (E @ (f @ X0) @ (f @ (suc @ X0))))),
% 0.56/0.88 inference('cnf', [status(esa)], [clause_23])).
% 0.56/0.88 thf(zip_derived_cl65, plain,
% 0.56/0.88 (![X0 : $i]:
% 0.56/0.88 ( (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 0.56/0.88 | ~ (E @ 0 @ (f @ X0))
% 0.56/0.88 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.56/0.88 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0)))))),
% 0.56/0.88 inference('clc', [status(thm)], [zip_derived_cl5, zip_derived_cl15])).
% 0.56/0.88 thf(zip_derived_cl124, plain,
% 0.56/0.88 (![X0 : $i]:
% 0.56/0.88 ( (E @ (f @ X0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 0.56/0.88 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.56/0.88 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.56/0.88 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 0.56/0.88 | ~ (E @ 0 @ (f @ X0))
% 0.56/0.88 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0))))))),
% 0.56/0.88 inference('clc', [status(thm)], [zip_derived_cl24, zip_derived_cl65])).
% 0.56/0.88 thf(zip_derived_cl15, plain,
% 0.56/0.88 (![X0 : $i]:
% 0.56/0.88 (~ (E @ 0 @ (f @ X0))
% 0.56/0.88 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.56/0.88 | (E @ (f @ X0) @ (f @ (suc @ X0))))),
% 0.56/0.88 inference('cnf', [status(esa)], [clause_23])).
% 0.56/0.88 thf(zip_derived_cl125, plain,
% 0.56/0.88 (![X0 : $i]:
% 0.56/0.88 (~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0)))))
% 0.56/0.88 | ~ (E @ 0 @ (f @ X0))
% 0.56/0.88 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 0.56/0.88 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.56/0.88 | (E @ (f @ X0) @ (f @ (suc @ (suc @ (suc @ X0))))))),
% 0.56/0.88 inference('clc', [status(thm)], [zip_derived_cl124, zip_derived_cl15])).
% 0.56/0.88 thf(clause_14, axiom,
% 0.56/0.88 (( ~( E @ 0 @ ( f @ ( suc @ ( suc @ ( suc @ ( suc @ A_3 ) ) ) ) ) ) ) |
% 0.56/0.88 ( ~( E @ ( f @ A_3 ) @ ( f @ ( suc @ ( suc @ A_3 ) ) ) ) ) |
% 0.56/0.88 ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ ( suc @ A_3 ) ) ) ) ) ) |
% 0.56/0.88 ( ~( E @ 0 @ ( f @ A_3 ) ) ) |
% 0.56/0.88 ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ A_3 ) ) ) ) ) |
% 0.56/0.88 ( ~( E @ 0 @ ( f @ ( suc @ A_3 ) ) ) ) |
% 0.56/0.88 ( ~( E @ ( f @ A_3 ) @ ( f @ ( suc @ A_3 ) ) ) ) |
% 0.56/0.88 ( ~( E @ ( f @ A_3 ) @ ( f @ ( suc @ ( suc @ ( suc @ A_3 ) ) ) ) ) ))).
% 0.56/0.88 thf(zip_derived_cl14, plain,
% 0.56/0.88 (![X0 : $i]:
% 0.56/0.88 (~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ (suc @ X0))))))
% 0.56/0.88 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 0.56/0.88 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0)))))
% 0.56/0.88 | ~ (E @ 0 @ (f @ X0))
% 0.56/0.88 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 0.56/0.88 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.56/0.88 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.56/0.88 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ (suc @ X0))))))),
% 0.56/0.88 inference('cnf', [status(esa)], [clause_14])).
% 0.56/0.88 thf(zip_derived_cl15, plain,
% 0.56/0.88 (![X0 : $i]:
% 0.56/0.88 (~ (E @ 0 @ (f @ X0))
% 0.56/0.88 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.56/0.88 | (E @ (f @ X0) @ (f @ (suc @ X0))))),
% 0.56/0.88 inference('cnf', [status(esa)], [clause_23])).
% 0.56/0.88 thf(zip_derived_cl62, plain,
% 0.56/0.88 (![X0 : $i]:
% 0.56/0.88 (~ (E @ (f @ X0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 0.56/0.88 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.56/0.88 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 0.56/0.88 | ~ (E @ 0 @ (f @ X0))
% 0.56/0.88 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0)))))
% 0.56/0.88 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 0.56/0.88 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ (suc @ X0)))))))),
% 0.56/0.88 inference('clc', [status(thm)], [zip_derived_cl14, zip_derived_cl15])).
% 0.56/0.88 thf(zip_derived_cl126, plain,
% 0.56/0.88 (![X0 : $i]:
% 0.56/0.88 (~ (E @ 0 @ (f @ (suc @ X0)))
% 0.56/0.88 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 0.56/0.88 | ~ (E @ 0 @ (f @ X0))
% 0.56/0.88 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0)))))
% 0.56/0.88 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ (suc @ X0))))))
% 0.56/0.88 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 0.56/0.88 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0)))))
% 0.56/0.88 | ~ (E @ 0 @ (f @ X0))
% 0.56/0.88 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 0.56/0.88 | ~ (E @ 0 @ (f @ (suc @ X0))))),
% 0.56/0.88 inference('sup-', [status(thm)], [zip_derived_cl125, zip_derived_cl62])).
% 0.56/0.88 thf(zip_derived_cl127, plain,
% 0.56/0.88 (![X0 : $i]:
% 0.56/0.88 (~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 0.56/0.88 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ (suc @ X0))))))
% 0.56/0.88 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0)))))
% 0.56/0.88 | ~ (E @ 0 @ (f @ X0))
% 0.56/0.88 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 0.56/0.88 | ~ (E @ 0 @ (f @ (suc @ X0))))),
% 0.56/0.88 inference('simplify', [status(thm)], [zip_derived_cl126])).
% 0.56/0.88 thf(zip_derived_cl65, plain,
% 0.56/0.88 (![X0 : $i]:
% 0.56/0.88 ( (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 0.56/0.88 | ~ (E @ 0 @ (f @ X0))
% 0.56/0.88 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.56/0.88 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0)))))),
% 0.56/0.88 inference('clc', [status(thm)], [zip_derived_cl5, zip_derived_cl15])).
% 0.56/0.88 thf(zip_derived_cl148, plain,
% 0.56/0.88 (![X0 : $i]:
% 0.56/0.88 (~ (E @ 0 @ (f @ (suc @ X0)))
% 0.56/0.88 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 0.56/0.88 | ~ (E @ 0 @ (f @ X0))
% 0.56/0.88 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0)))))
% 0.56/0.88 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ (suc @ X0)))))))),
% 0.56/0.88 inference('clc', [status(thm)], [zip_derived_cl127, zip_derived_cl65])).
% 0.56/0.88 thf(zip_derived_cl343, plain,
% 0.56/0.88 (![X0 : $i]:
% 0.56/0.88 ( (LE @ (f @ X0) @ 0)
% 0.56/0.88 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0)))))
% 0.56/0.88 | ~ (E @ 0 @ (f @ X0))
% 0.56/0.88 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 0.56/0.88 | ~ (E @ 0 @ (f @ (suc @ X0))))),
% 0.56/0.88 inference('sup-', [status(thm)], [zip_derived_cl338, zip_derived_cl148])).
% 0.56/0.88 thf(clause_41, axiom,
% 0.56/0.88 (( ~( LE @ ( f @ ( suc @ ( suc @ ( suc @ B_1 ) ) ) ) @ ( s @ 0 ) ) ) |
% 0.56/0.88 ( E @ 0 @ ( f @ ( suc @ ( suc @ ( suc @ B_1 ) ) ) ) ) |
% 0.56/0.88 ( LE @ ( f @ B_1 ) @ 0 ))).
% 0.56/0.88 thf(zip_derived_cl7, plain,
% 0.56/0.88 (![X0 : $i]:
% 0.56/0.88 (~ (LE @ (f @ (suc @ (suc @ (suc @ X0)))) @ (s @ 0))
% 0.56/0.88 | (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0)))))
% 0.56/0.88 | (LE @ (f @ X0) @ 0))),
% 0.56/0.88 inference('cnf', [status(esa)], [clause_41])).
% 0.56/0.88 thf(zip_derived_cl333, plain, (![X0 : $i]: (LE @ (f @ X0) @ (s @ 0))),
% 0.56/0.88 inference('clc', [status(thm)], [zip_derived_cl332, zip_derived_cl203])).
% 0.56/0.88 thf(zip_derived_cl334, plain,
% 0.56/0.88 (![X0 : $i]:
% 0.56/0.88 ( (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0))))) | (LE @ (f @ X0) @ 0))),
% 0.56/0.88 inference('demod', [status(thm)], [zip_derived_cl7, zip_derived_cl333])).
% 0.56/0.88 thf(zip_derived_cl344, plain,
% 0.56/0.88 (![X0 : $i]:
% 0.56/0.88 (~ (E @ 0 @ (f @ (suc @ X0)))
% 0.56/0.88 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 0.56/0.88 | ~ (E @ 0 @ (f @ X0))
% 0.56/0.88 | (LE @ (f @ X0) @ 0))),
% 0.56/0.88 inference('clc', [status(thm)], [zip_derived_cl343, zip_derived_cl334])).
% 0.56/0.88 thf(clause_50, axiom,
% 0.56/0.88 (( ~( LE @ ( f @ ( suc @ B_1 ) ) @ ( s @ 0 ) ) ) |
% 0.56/0.88 ( E @ 0 @ ( f @ ( suc @ B_1 ) ) ) | ( LE @ ( f @ B_1 ) @ 0 ))).
% 0.56/0.88 thf(zip_derived_cl16, plain,
% 0.56/0.88 (![X0 : $i]:
% 0.56/0.88 (~ (LE @ (f @ (suc @ X0)) @ (s @ 0))
% 0.56/0.88 | (E @ 0 @ (f @ (suc @ X0)))
% 0.56/0.88 | (LE @ (f @ X0) @ 0))),
% 0.56/0.88 inference('cnf', [status(esa)], [clause_50])).
% 0.56/0.88 thf(zip_derived_cl333, plain, (![X0 : $i]: (LE @ (f @ X0) @ (s @ 0))),
% 0.56/0.88 inference('clc', [status(thm)], [zip_derived_cl332, zip_derived_cl203])).
% 0.56/0.88 thf(zip_derived_cl337, plain,
% 0.56/0.88 (![X0 : $i]: ( (E @ 0 @ (f @ (suc @ X0))) | (LE @ (f @ X0) @ 0))),
% 0.56/0.88 inference('demod', [status(thm)], [zip_derived_cl16, zip_derived_cl333])).
% 0.56/0.88 thf(zip_derived_cl345, plain,
% 0.56/0.88 (![X0 : $i]:
% 0.56/0.88 ( (LE @ (f @ X0) @ 0)
% 0.56/0.88 | ~ (E @ 0 @ (f @ X0))
% 0.56/0.88 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0)))))),
% 0.56/0.88 inference('clc', [status(thm)], [zip_derived_cl344, zip_derived_cl337])).
% 0.56/0.88 thf(clause_13, axiom,
% 0.56/0.88 (( ~( LE @ ( f @ B_1 ) @ ( s @ 0 ) ) ) | ( E @ 0 @ ( f @ B_1 ) ) |
% 0.56/0.88 ( LE @ ( f @ B_1 ) @ 0 ))).
% 0.56/0.88 thf(zip_derived_cl9, plain,
% 0.56/0.88 (![X0 : $i]:
% 0.56/0.88 (~ (LE @ (f @ X0) @ (s @ 0))
% 0.56/0.88 | (E @ 0 @ (f @ X0))
% 0.56/0.88 | (LE @ (f @ X0) @ 0))),
% 0.56/0.88 inference('cnf', [status(esa)], [clause_13])).
% 0.56/0.88 thf(zip_derived_cl333, plain, (![X0 : $i]: (LE @ (f @ X0) @ (s @ 0))),
% 0.56/0.88 inference('clc', [status(thm)], [zip_derived_cl332, zip_derived_cl203])).
% 0.56/0.88 thf(zip_derived_cl336, plain,
% 0.56/0.88 (![X0 : $i]: ( (E @ 0 @ (f @ X0)) | (LE @ (f @ X0) @ 0))),
% 0.56/0.88 inference('demod', [status(thm)], [zip_derived_cl9, zip_derived_cl333])).
% 0.56/0.88 thf(zip_derived_cl346, plain,
% 0.56/0.88 (![X0 : $i]:
% 0.56/0.88 (~ (E @ 0 @ (f @ (suc @ (suc @ X0)))) | (LE @ (f @ X0) @ 0))),
% 0.56/0.88 inference('clc', [status(thm)], [zip_derived_cl345, zip_derived_cl336])).
% 0.56/0.88 thf(clause_19, axiom,
% 0.56/0.88 (( ~( LE @ ( f @ ( suc @ ( suc @ B_1 ) ) ) @ ( s @ 0 ) ) ) |
% 0.56/0.88 ( E @ 0 @ ( f @ ( suc @ ( suc @ B_1 ) ) ) ) | ( LE @ ( f @ B_1 ) @ 0 ))).
% 0.56/0.88 thf(zip_derived_cl8, plain,
% 0.56/0.88 (![X0 : $i]:
% 0.56/0.88 (~ (LE @ (f @ (suc @ (suc @ X0))) @ (s @ 0))
% 0.56/0.88 | (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 0.56/0.88 | (LE @ (f @ X0) @ 0))),
% 0.56/0.88 inference('cnf', [status(esa)], [clause_19])).
% 0.56/0.88 thf(zip_derived_cl333, plain, (![X0 : $i]: (LE @ (f @ X0) @ (s @ 0))),
% 0.56/0.88 inference('clc', [status(thm)], [zip_derived_cl332, zip_derived_cl203])).
% 0.56/0.88 thf(zip_derived_cl335, plain,
% 0.56/0.88 (![X0 : $i]: ( (E @ 0 @ (f @ (suc @ (suc @ X0)))) | (LE @ (f @ X0) @ 0))),
% 0.56/0.88 inference('demod', [status(thm)], [zip_derived_cl8, zip_derived_cl333])).
% 0.56/0.88 thf(zip_derived_cl347, plain, (![X0 : $i]: (LE @ (f @ X0) @ 0)),
% 0.56/0.88 inference('clc', [status(thm)], [zip_derived_cl346, zip_derived_cl335])).
% 0.56/0.88 thf(zip_derived_cl348, plain, ($false),
% 0.56/0.88 inference('demod', [status(thm)], [zip_derived_cl22, zip_derived_cl347])).
% 0.56/0.88
% 0.56/0.88 % SZS output end Refutation
% 0.56/0.88
% 0.56/0.88
% 0.56/0.88 % Terminating...
% 1.84/0.93 % Runner terminated.
% 1.84/0.94 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------