%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYO675-1 : 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.D9eUhUG84v true
% Computer : n017.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 05:08:07 PM UTC 2025
% Result : Unsatisfiable 0.56s 0.85s
% Output : Refutation 0.56s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : SYO675-1 : TPTP v9.2.0. Released v7.3.0.
% 0.08/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.D9eUhUG84v true
% 0.13/0.34 % Computer : n017.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 18:13:53 EDT 2025
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.54/0.64 % Total configuration time : 435
% 0.54/0.64 % Estimated wc time : 1092
% 0.54/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.55/0.72 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.55/0.73 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.55/0.75 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.55/0.76 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.55/0.77 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.55/0.77 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.55/0.77 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.56/0.85 % Solved by fo/fo1_av.sh.
% 0.56/0.85 % done 80 iterations in 0.072s
% 0.56/0.85 % SZS status Unsatisfiable for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.56/0.85 % SZS output start Refutation
% 0.56/0.85 thf(0_type, type, 0: $i).
% 0.56/0.85 thf(z_type, type, z: $i).
% 0.56/0.85 thf(suc_type, type, suc: $i > $i).
% 0.56/0.85 thf(f_type, type, f: $i > $i).
% 0.56/0.85 thf(E_type, type, E: $i > $i > $o).
% 0.56/0.85 thf(s_type, type, s: $i > $i).
% 0.56/0.85 thf(LE_type, type, LE: $i > $i > $o).
% 0.56/0.85 thf(clause_21, axiom, (~( LE @ ( f @ z ) @ 0 ))).
% 0.56/0.85 thf(zip_derived_cl17, plain, (~ (LE @ (f @ z) @ 0)),
% 0.56/0.85 inference('cnf', [status(esa)], [clause_21])).
% 0.56/0.85 thf(clause_20, axiom,
% 0.56/0.85 (( ~( LE @ ( f @ ( suc @ ( suc @ ( suc @ B_2 ) ) ) ) @ ( s @ 0 ) ) ) |
% 0.56/0.85 ( E @ 0 @ ( f @ ( suc @ ( suc @ ( suc @ B_2 ) ) ) ) ) |
% 0.56/0.85 ( LE @ ( f @ B_2 ) @ 0 ))).
% 0.56/0.85 thf(zip_derived_cl2, plain,
% 0.56/0.85 (![X0 : $i]:
% 0.56/0.85 (~ (LE @ (f @ (suc @ (suc @ (suc @ X0)))) @ (s @ 0))
% 0.56/0.85 | (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0)))))
% 0.56/0.85 | (LE @ (f @ X0) @ 0))),
% 0.56/0.85 inference('cnf', [status(esa)], [clause_20])).
% 0.56/0.85 thf(clause_15, axiom,
% 0.56/0.85 (( ~( LE @ ( f @ ( suc @ ( suc @ ( suc @ B_1 ) ) ) ) @ ( s @ ( s @ 0 ) ) ) ) |
% 0.56/0.85 ( E @ ( s @ 0 ) @ ( f @ ( suc @ ( suc @ ( suc @ B_1 ) ) ) ) ) |
% 0.56/0.85 ( LE @ ( f @ B_1 ) @ ( s @ 0 ) ))).
% 0.56/0.85 thf(zip_derived_cl20, plain,
% 0.56/0.85 (![X0 : $i]:
% 0.56/0.85 (~ (LE @ (f @ (suc @ (suc @ (suc @ X0)))) @ (s @ (s @ 0)))
% 0.56/0.85 | (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 0.56/0.85 | (LE @ (f @ X0) @ (s @ 0)))),
% 0.56/0.85 inference('cnf', [status(esa)], [clause_15])).
% 0.56/0.85 thf(clause_18, axiom,
% 0.56/0.85 (( ~( LE @ ( f @ ( suc @ ( suc @ B_0 ) ) ) @ ( s @ ( s @ ( s @ 0 ) ) ) ) ) |
% 0.56/0.85 ( E @ ( s @ ( s @ 0 ) ) @ ( f @ ( suc @ ( suc @ B_0 ) ) ) ) |
% 0.56/0.85 ( LE @ ( f @ B_0 ) @ ( s @ ( s @ 0 ) ) ))).
% 0.56/0.85 thf(zip_derived_cl10, plain,
% 0.56/0.85 (![X0 : $i]:
% 0.56/0.85 (~ (LE @ (f @ (suc @ (suc @ X0))) @ (s @ (s @ (s @ 0))))
% 0.56/0.85 | (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ X0))))
% 0.56/0.85 | (LE @ (f @ X0) @ (s @ (s @ 0))))),
% 0.56/0.85 inference('cnf', [status(esa)], [clause_18])).
% 0.56/0.85 thf(clause_6, axiom,
% 0.56/0.85 (( ~( LE @
% 0.56/0.85 ( f @ ( suc @ ( suc @ ( suc @ B ) ) ) ) @
% 0.56/0.85 ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) ) ) |
% 0.56/0.85 ( E @ ( s @ ( s @ ( s @ 0 ) ) ) @ ( f @ ( suc @ ( suc @ ( suc @ B ) ) ) ) ) |
% 0.56/0.85 ( LE @ ( f @ B ) @ ( s @ ( s @ ( s @ 0 ) ) ) ))).
% 0.56/0.85 thf(zip_derived_cl27, plain,
% 0.56/0.85 (![X0 : $i]:
% 0.56/0.85 (~ (LE @ (f @ (suc @ (suc @ (suc @ X0)))) @ (s @ (s @ (s @ (s @ 0)))))
% 0.56/0.85 | (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 0.56/0.85 | (LE @ (f @ X0) @ (s @ (s @ (s @ 0)))))),
% 0.56/0.85 inference('cnf', [status(esa)], [clause_6])).
% 0.56/0.85 thf(clause_30, axiom, (LE @ ( f @ A ) @ ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ))).
% 0.56/0.85 thf(zip_derived_cl29, plain,
% 0.56/0.85 (![X0 : $i]: (LE @ (f @ X0) @ (s @ (s @ (s @ (s @ 0)))))),
% 0.56/0.85 inference('cnf', [status(esa)], [clause_30])).
% 0.56/0.85 thf(zip_derived_cl65, plain,
% 0.56/0.85 (![X0 : $i]:
% 0.56/0.85 ( (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 0.56/0.85 | (LE @ (f @ X0) @ (s @ (s @ (s @ 0)))))),
% 0.56/0.85 inference('demod', [status(thm)], [zip_derived_cl27, zip_derived_cl29])).
% 0.56/0.85 thf(clause_8, axiom,
% 0.56/0.85 (( ~( E @
% 0.56/0.85 ( s @ ( s @ ( s @ 0 ) ) ) @ ( f @ ( suc @ ( suc @ ( suc @ A_1 ) ) ) ) ) ) |
% 0.56/0.85 ( ~( E @ ( s @ ( s @ ( s @ 0 ) ) ) @ ( f @ A_1 ) ) ) |
% 0.56/0.85 ( ~( E @ ( s @ ( s @ ( s @ 0 ) ) ) @ ( f @ ( suc @ ( suc @ A_1 ) ) ) ) ) |
% 0.56/0.85 ( ~( E @ ( f @ A_1 ) @ ( f @ ( suc @ ( suc @ A_1 ) ) ) ) ) |
% 0.56/0.85 ( ~( E @ ( f @ A_1 ) @ ( f @ ( suc @ A_1 ) ) ) ) |
% 0.56/0.85 ( ~( E @ ( s @ ( s @ ( s @ 0 ) ) ) @ ( f @ ( suc @ A_1 ) ) ) ))).
% 0.56/0.85 thf(zip_derived_cl23, plain,
% 0.56/0.85 (![X0 : $i]:
% 0.56/0.85 (~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 0.56/0.85 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ X0))
% 0.56/0.85 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ (suc @ X0))))
% 0.56/0.85 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 0.56/0.85 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.56/0.85 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ X0))))),
% 0.56/0.85 inference('cnf', [status(esa)], [clause_8])).
% 0.56/0.85 thf(clause_31, axiom,
% 0.56/0.85 (( ~( E @ ( s @ ( s @ ( s @ 0 ) ) ) @ ( f @ ( suc @ ( suc @ A_1 ) ) ) ) ) |
% 0.56/0.85 ( ~( E @ ( s @ ( s @ ( s @ 0 ) ) ) @ ( f @ ( suc @ A_1 ) ) ) ) |
% 0.56/0.85 ( ~( E @ ( f @ A_1 ) @ ( f @ ( suc @ A_1 ) ) ) ) |
% 0.56/0.85 ( ~( E @ ( s @ ( s @ ( s @ 0 ) ) ) @ ( f @ A_1 ) ) ) |
% 0.56/0.85 ( E @ ( f @ A_1 ) @ ( f @ ( suc @ ( suc @ A_1 ) ) ) ))).
% 0.56/0.85 thf(zip_derived_cl3, plain,
% 0.56/0.85 (![X0 : $i]:
% 0.56/0.85 (~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ (suc @ X0))))
% 0.56/0.85 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ X0)))
% 0.56/0.85 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.56/0.85 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ X0))
% 0.56/0.85 | (E @ (f @ X0) @ (f @ (suc @ (suc @ X0)))))),
% 0.56/0.85 inference('cnf', [status(esa)], [clause_31])).
% 0.56/0.85 thf(clause_2, axiom,
% 0.56/0.85 (( ~( E @ ( s @ ( s @ ( s @ 0 ) ) ) @ ( f @ A_1 ) ) ) |
% 0.56/0.85 ( ~( E @ ( s @ ( s @ ( s @ 0 ) ) ) @ ( f @ ( suc @ A_1 ) ) ) ) |
% 0.56/0.85 ( E @ ( f @ A_1 ) @ ( f @ ( suc @ A_1 ) ) ))).
% 0.56/0.85 thf(zip_derived_cl13, plain,
% 0.56/0.85 (![X0 : $i]:
% 0.56/0.85 (~ (E @ (s @ (s @ (s @ 0))) @ (f @ X0))
% 0.56/0.85 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ X0)))
% 0.56/0.85 | (E @ (f @ X0) @ (f @ (suc @ X0))))),
% 0.56/0.85 inference('cnf', [status(esa)], [clause_2])).
% 0.56/0.85 thf(zip_derived_cl31, plain,
% 0.56/0.85 (![X0 : $i]:
% 0.56/0.85 ( (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 0.56/0.85 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ X0))
% 0.56/0.85 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ X0)))
% 0.56/0.85 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ (suc @ X0)))))),
% 0.56/0.85 inference('clc', [status(thm)], [zip_derived_cl3, zip_derived_cl13])).
% 0.56/0.85 thf(zip_derived_cl49, plain,
% 0.56/0.85 (![X0 : $i]:
% 0.56/0.85 (~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ X0)))
% 0.56/0.85 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.56/0.85 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ (suc @ X0))))
% 0.56/0.85 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ X0))
% 0.56/0.85 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ (suc @ (suc @ X0))))))),
% 0.56/0.85 inference('clc', [status(thm)], [zip_derived_cl23, zip_derived_cl31])).
% 0.56/0.85 thf(zip_derived_cl13, plain,
% 0.56/0.85 (![X0 : $i]:
% 0.56/0.85 (~ (E @ (s @ (s @ (s @ 0))) @ (f @ X0))
% 0.56/0.85 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ X0)))
% 0.56/0.85 | (E @ (f @ X0) @ (f @ (suc @ X0))))),
% 0.56/0.85 inference('cnf', [status(esa)], [clause_2])).
% 0.56/0.85 thf(zip_derived_cl50, plain,
% 0.56/0.85 (![X0 : $i]:
% 0.56/0.85 (~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 0.56/0.85 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ X0))
% 0.56/0.85 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ (suc @ X0))))
% 0.56/0.85 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ X0))))),
% 0.56/0.85 inference('clc', [status(thm)], [zip_derived_cl49, zip_derived_cl13])).
% 0.56/0.85 thf(zip_derived_cl68, plain,
% 0.56/0.85 (![X0 : $i]:
% 0.56/0.85 ( (LE @ (f @ X0) @ (s @ (s @ (s @ 0))))
% 0.56/0.85 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ X0))
% 0.56/0.85 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ (suc @ X0))))
% 0.56/0.85 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ X0))))),
% 0.56/0.85 inference('s_sup-', [status(thm)], [zip_derived_cl65, zip_derived_cl50])).
% 0.56/0.85 thf(clause_36, axiom,
% 0.56/0.85 (( ~( LE @ ( f @ B ) @ ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) ) ) |
% 0.56/0.85 ( E @ ( s @ ( s @ ( s @ 0 ) ) ) @ ( f @ B ) ) |
% 0.56/0.85 ( LE @ ( f @ B ) @ ( s @ ( s @ ( s @ 0 ) ) ) ))).
% 0.56/0.85 thf(zip_derived_cl19, plain,
% 0.56/0.85 (![X0 : $i]:
% 0.56/0.85 (~ (LE @ (f @ X0) @ (s @ (s @ (s @ (s @ 0)))))
% 0.56/0.85 | (E @ (s @ (s @ (s @ 0))) @ (f @ X0))
% 0.56/0.85 | (LE @ (f @ X0) @ (s @ (s @ (s @ 0)))))),
% 0.56/0.85 inference('cnf', [status(esa)], [clause_36])).
% 0.56/0.85 thf(zip_derived_cl29, plain,
% 0.56/0.85 (![X0 : $i]: (LE @ (f @ X0) @ (s @ (s @ (s @ (s @ 0)))))),
% 0.56/0.85 inference('cnf', [status(esa)], [clause_30])).
% 0.56/0.85 thf(zip_derived_cl33, plain,
% 0.56/0.85 (![X0 : $i]:
% 0.56/0.85 ( (E @ (s @ (s @ (s @ 0))) @ (f @ X0))
% 0.56/0.85 | (LE @ (f @ X0) @ (s @ (s @ (s @ 0)))))),
% 0.56/0.85 inference('demod', [status(thm)], [zip_derived_cl19, zip_derived_cl29])).
% 0.56/0.85 thf(zip_derived_cl84, plain,
% 0.56/0.85 (![X0 : $i]:
% 0.56/0.85 (~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ X0)))
% 0.56/0.85 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ (suc @ X0))))
% 0.56/0.85 | (LE @ (f @ X0) @ (s @ (s @ (s @ 0)))))),
% 0.56/0.85 inference('clc', [status(thm)], [zip_derived_cl68, zip_derived_cl33])).
% 0.56/0.85 thf(clause_32, axiom,
% 0.56/0.85 (( ~( LE @ ( f @ ( suc @ B ) ) @ ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) ) ) |
% 0.56/0.85 ( E @ ( s @ ( s @ ( s @ 0 ) ) ) @ ( f @ ( suc @ B ) ) ) |
% 0.56/0.85 ( LE @ ( f @ B ) @ ( s @ ( s @ ( s @ 0 ) ) ) ))).
% 0.56/0.85 thf(zip_derived_cl24, plain,
% 0.56/0.85 (![X0 : $i]:
% 0.56/0.85 (~ (LE @ (f @ (suc @ X0)) @ (s @ (s @ (s @ (s @ 0)))))
% 0.56/0.85 | (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ X0)))
% 0.56/0.85 | (LE @ (f @ X0) @ (s @ (s @ (s @ 0)))))),
% 0.56/0.85 inference('cnf', [status(esa)], [clause_32])).
% 0.56/0.85 thf(zip_derived_cl29, plain,
% 0.56/0.85 (![X0 : $i]: (LE @ (f @ X0) @ (s @ (s @ (s @ (s @ 0)))))),
% 0.56/0.85 inference('cnf', [status(esa)], [clause_30])).
% 0.56/0.85 thf(zip_derived_cl44, plain,
% 0.56/0.85 (![X0 : $i]:
% 0.56/0.85 ( (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ X0)))
% 0.56/0.85 | (LE @ (f @ X0) @ (s @ (s @ (s @ 0)))))),
% 0.56/0.85 inference('demod', [status(thm)], [zip_derived_cl24, zip_derived_cl29])).
% 0.56/0.85 thf(zip_derived_cl85, plain,
% 0.56/0.85 (![X0 : $i]:
% 0.56/0.85 ( (LE @ (f @ X0) @ (s @ (s @ (s @ 0))))
% 0.56/0.85 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ (suc @ X0)))))),
% 0.56/0.85 inference('clc', [status(thm)], [zip_derived_cl84, zip_derived_cl44])).
% 0.56/0.85 thf(clause_1, axiom,
% 0.56/0.85 (( ~( LE @
% 0.56/0.85 ( f @ ( suc @ ( suc @ B ) ) ) @ ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) ) ) |
% 0.56/0.85 ( E @ ( s @ ( s @ ( s @ 0 ) ) ) @ ( f @ ( suc @ ( suc @ B ) ) ) ) |
% 0.56/0.85 ( LE @ ( f @ B ) @ ( s @ ( s @ ( s @ 0 ) ) ) ))).
% 0.56/0.85 thf(zip_derived_cl18, plain,
% 0.56/0.85 (![X0 : $i]:
% 0.56/0.85 (~ (LE @ (f @ (suc @ (suc @ X0))) @ (s @ (s @ (s @ (s @ 0)))))
% 0.56/0.85 | (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ (suc @ X0))))
% 0.56/0.85 | (LE @ (f @ X0) @ (s @ (s @ (s @ 0)))))),
% 0.56/0.85 inference('cnf', [status(esa)], [clause_1])).
% 0.56/0.85 thf(zip_derived_cl29, plain,
% 0.56/0.85 (![X0 : $i]: (LE @ (f @ X0) @ (s @ (s @ (s @ (s @ 0)))))),
% 0.56/0.85 inference('cnf', [status(esa)], [clause_30])).
% 0.56/0.85 thf(zip_derived_cl55, plain,
% 0.56/0.85 (![X0 : $i]:
% 0.56/0.85 ( (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ (suc @ X0))))
% 0.56/0.85 | (LE @ (f @ X0) @ (s @ (s @ (s @ 0)))))),
% 0.56/0.85 inference('demod', [status(thm)], [zip_derived_cl18, zip_derived_cl29])).
% 0.56/0.85 thf(zip_derived_cl86, plain,
% 0.56/0.85 (![X0 : $i]: (LE @ (f @ X0) @ (s @ (s @ (s @ 0))))),
% 0.56/0.85 inference('clc', [status(thm)], [zip_derived_cl85, zip_derived_cl55])).
% 0.56/0.85 thf(zip_derived_cl89, plain,
% 0.56/0.85 (![X0 : $i]:
% 0.56/0.85 ( (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ X0))))
% 0.56/0.85 | (LE @ (f @ X0) @ (s @ (s @ 0))))),
% 0.56/0.85 inference('demod', [status(thm)], [zip_derived_cl10, zip_derived_cl86])).
% 0.56/0.85 thf(clause_24, axiom,
% 0.56/0.85 (( ~( E @ ( s @ ( s @ 0 ) ) @ ( f @ ( suc @ ( suc @ A_2 ) ) ) ) ) |
% 0.56/0.85 ( ~( E @ ( s @ ( s @ 0 ) ) @ ( f @ ( suc @ A_2 ) ) ) ) |
% 0.56/0.85 ( ~( E @ ( f @ A_2 ) @ ( f @ ( suc @ A_2 ) ) ) ) |
% 0.56/0.85 ( ~( E @ ( s @ ( s @ 0 ) ) @ ( f @ A_2 ) ) ) |
% 0.56/0.85 ( E @ ( f @ A_2 ) @ ( f @ ( suc @ ( suc @ A_2 ) ) ) ))).
% 0.56/0.85 thf(zip_derived_cl12, plain,
% 0.56/0.85 (![X0 : $i]:
% 0.56/0.85 (~ (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ X0))))
% 0.56/0.85 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 0.56/0.85 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.56/0.85 | ~ (E @ (s @ (s @ 0)) @ (f @ X0))
% 0.56/0.85 | (E @ (f @ X0) @ (f @ (suc @ (suc @ X0)))))),
% 0.56/0.85 inference('cnf', [status(esa)], [clause_24])).
% 0.56/0.85 thf(clause_26, axiom,
% 0.56/0.85 (( ~( E @ ( s @ ( s @ 0 ) ) @ ( f @ A_2 ) ) ) |
% 0.56/0.85 ( ~( E @ ( s @ ( s @ 0 ) ) @ ( f @ ( suc @ A_2 ) ) ) ) |
% 0.56/0.85 ( E @ ( f @ A_2 ) @ ( f @ ( suc @ A_2 ) ) ))).
% 0.56/0.85 thf(zip_derived_cl6, plain,
% 0.56/0.85 (![X0 : $i]:
% 0.56/0.85 (~ (E @ (s @ (s @ 0)) @ (f @ X0))
% 0.56/0.85 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 0.56/0.85 | (E @ (f @ X0) @ (f @ (suc @ X0))))),
% 0.56/0.85 inference('cnf', [status(esa)], [clause_26])).
% 0.56/0.85 thf(zip_derived_cl54, plain,
% 0.56/0.85 (![X0 : $i]:
% 0.56/0.85 ( (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 0.56/0.85 | ~ (E @ (s @ (s @ 0)) @ (f @ X0))
% 0.56/0.85 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 0.56/0.85 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ X0)))))),
% 0.56/0.85 inference('clc', [status(thm)], [zip_derived_cl12, zip_derived_cl6])).
% 0.56/0.85 thf(zip_derived_cl101, plain,
% 0.56/0.85 (![X0 : $i]:
% 0.56/0.85 ( (LE @ (f @ X0) @ (s @ (s @ 0)))
% 0.56/0.85 | (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 0.56/0.85 | ~ (E @ (s @ (s @ 0)) @ (f @ X0))
% 0.56/0.85 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0))))),
% 0.56/0.85 inference('s_sup-', [status(thm)], [zip_derived_cl89, zip_derived_cl54])).
% 0.56/0.85 thf(clause_10, axiom,
% 0.56/0.85 (( ~( LE @
% 0.56/0.85 ( f @ ( suc @ ( suc @ ( suc @ B_0 ) ) ) ) @ ( s @ ( s @ ( s @ 0 ) ) ) ) ) |
% 0.56/0.85 ( E @ ( s @ ( s @ 0 ) ) @ ( f @ ( suc @ ( suc @ ( suc @ B_0 ) ) ) ) ) |
% 0.56/0.85 ( LE @ ( f @ B_0 ) @ ( s @ ( s @ 0 ) ) ))).
% 0.56/0.85 thf(zip_derived_cl4, plain,
% 0.56/0.85 (![X0 : $i]:
% 0.56/0.85 (~ (LE @ (f @ (suc @ (suc @ (suc @ X0)))) @ (s @ (s @ (s @ 0))))
% 0.56/0.85 | (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 0.56/0.85 | (LE @ (f @ X0) @ (s @ (s @ 0))))),
% 0.56/0.85 inference('cnf', [status(esa)], [clause_10])).
% 0.56/0.85 thf(zip_derived_cl86, plain,
% 0.56/0.85 (![X0 : $i]: (LE @ (f @ X0) @ (s @ (s @ (s @ 0))))),
% 0.56/0.85 inference('clc', [status(thm)], [zip_derived_cl85, zip_derived_cl55])).
% 0.56/0.85 thf(zip_derived_cl87, plain,
% 0.56/0.85 (![X0 : $i]:
% 0.56/0.85 ( (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 0.56/0.85 | (LE @ (f @ X0) @ (s @ (s @ 0))))),
% 0.56/0.85 inference('demod', [status(thm)], [zip_derived_cl4, zip_derived_cl86])).
% 0.56/0.85 thf(clause_17, axiom,
% 0.56/0.85 (( ~( E @ ( f @ A_2 ) @ ( f @ ( suc @ ( suc @ A_2 ) ) ) ) ) |
% 0.56/0.85 ( ~( E @ ( s @ ( s @ 0 ) ) @ ( f @ ( suc @ A_2 ) ) ) ) |
% 0.56/0.85 ( ~( E @ ( s @ ( s @ 0 ) ) @ ( f @ ( suc @ ( suc @ A_2 ) ) ) ) ) |
% 0.56/0.85 ( ~( E @ ( s @ ( s @ 0 ) ) @ ( f @ A_2 ) ) ) |
% 0.56/0.85 ( ~( E @ ( s @ ( s @ 0 ) ) @ ( f @ ( suc @ ( suc @ ( suc @ A_2 ) ) ) ) ) ) |
% 0.56/0.85 ( ~( E @ ( f @ A_2 ) @ ( f @ ( suc @ A_2 ) ) ) ))).
% 0.56/0.85 thf(zip_derived_cl16, plain,
% 0.56/0.85 (![X0 : $i]:
% 0.56/0.85 (~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 0.56/0.85 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 0.56/0.85 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ X0))))
% 0.56/0.85 | ~ (E @ (s @ (s @ 0)) @ (f @ X0))
% 0.56/0.85 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 0.56/0.85 | ~ (E @ (f @ X0) @ (f @ (suc @ X0))))),
% 0.56/0.85 inference('cnf', [status(esa)], [clause_17])).
% 0.56/0.85 thf(zip_derived_cl6, plain,
% 0.56/0.85 (![X0 : $i]:
% 0.56/0.85 (~ (E @ (s @ (s @ 0)) @ (f @ X0))
% 0.56/0.85 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 0.56/0.85 | (E @ (f @ X0) @ (f @ (suc @ X0))))),
% 0.56/0.85 inference('cnf', [status(esa)], [clause_26])).
% 0.56/0.85 thf(zip_derived_cl32, plain,
% 0.56/0.85 (![X0 : $i]:
% 0.56/0.85 (~ (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 0.56/0.85 | ~ (E @ (s @ (s @ 0)) @ (f @ X0))
% 0.56/0.85 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ X0))))
% 0.56/0.85 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 0.56/0.85 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0)))))),
% 0.56/0.85 inference('clc', [status(thm)], [zip_derived_cl16, zip_derived_cl6])).
% 0.56/0.85 thf(zip_derived_cl106, plain,
% 0.56/0.85 (![X0 : $i]:
% 0.56/0.85 ( (LE @ (f @ X0) @ (s @ (s @ 0)))
% 0.56/0.85 | ~ (E @ (s @ (s @ 0)) @ (f @ X0))
% 0.56/0.85 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ X0))))
% 0.56/0.85 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 0.56/0.85 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0)))))),
% 0.56/0.85 inference('s_sup-', [status(thm)], [zip_derived_cl87, zip_derived_cl32])).
% 0.56/0.85 thf(clause_29, axiom,
% 0.56/0.85 (( ~( LE @ ( f @ B_0 ) @ ( s @ ( s @ ( s @ 0 ) ) ) ) ) |
% 0.56/0.85 ( E @ ( s @ ( s @ 0 ) ) @ ( f @ B_0 ) ) |
% 0.56/0.85 ( LE @ ( f @ B_0 ) @ ( s @ ( s @ 0 ) ) ))).
% 0.56/0.85 thf(zip_derived_cl7, plain,
% 0.56/0.85 (![X0 : $i]:
% 0.56/0.85 (~ (LE @ (f @ X0) @ (s @ (s @ (s @ 0))))
% 0.56/0.85 | (E @ (s @ (s @ 0)) @ (f @ X0))
% 0.56/0.85 | (LE @ (f @ X0) @ (s @ (s @ 0))))),
% 0.56/0.85 inference('cnf', [status(esa)], [clause_29])).
% 0.56/0.85 thf(zip_derived_cl86, plain,
% 0.56/0.85 (![X0 : $i]: (LE @ (f @ X0) @ (s @ (s @ (s @ 0))))),
% 0.56/0.85 inference('clc', [status(thm)], [zip_derived_cl85, zip_derived_cl55])).
% 0.56/0.85 thf(zip_derived_cl88, plain,
% 0.56/0.85 (![X0 : $i]:
% 0.56/0.85 ( (E @ (s @ (s @ 0)) @ (f @ X0)) | (LE @ (f @ X0) @ (s @ (s @ 0))))),
% 0.56/0.85 inference('demod', [status(thm)], [zip_derived_cl7, zip_derived_cl86])).
% 0.56/0.85 thf(zip_derived_cl119, plain,
% 0.56/0.85 (![X0 : $i]:
% 0.56/0.85 (~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 0.56/0.85 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 0.56/0.85 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ X0))))
% 0.56/0.85 | (LE @ (f @ X0) @ (s @ (s @ 0))))),
% 0.56/0.85 inference('clc', [status(thm)], [zip_derived_cl106, zip_derived_cl88])).
% 0.56/0.85 thf(clause_19, axiom,
% 0.56/0.85 (( ~( LE @ ( f @ ( suc @ B_0 ) ) @ ( s @ ( s @ ( s @ 0 ) ) ) ) ) |
% 0.56/0.85 ( E @ ( s @ ( s @ 0 ) ) @ ( f @ ( suc @ B_0 ) ) ) |
% 0.56/0.85 ( LE @ ( f @ B_0 ) @ ( s @ ( s @ 0 ) ) ))).
% 0.56/0.85 thf(zip_derived_cl11, plain,
% 0.56/0.85 (![X0 : $i]:
% 0.56/0.85 (~ (LE @ (f @ (suc @ X0)) @ (s @ (s @ (s @ 0))))
% 0.56/0.85 | (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 0.56/0.85 | (LE @ (f @ X0) @ (s @ (s @ 0))))),
% 0.56/0.85 inference('cnf', [status(esa)], [clause_19])).
% 0.56/0.85 thf(zip_derived_cl86, plain,
% 0.56/0.85 (![X0 : $i]: (LE @ (f @ X0) @ (s @ (s @ (s @ 0))))),
% 0.56/0.85 inference('clc', [status(thm)], [zip_derived_cl85, zip_derived_cl55])).
% 0.56/0.85 thf(zip_derived_cl90, plain,
% 0.56/0.85 (![X0 : $i]:
% 0.56/0.85 ( (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 0.56/0.85 | (LE @ (f @ X0) @ (s @ (s @ 0))))),
% 0.56/0.85 inference('demod', [status(thm)], [zip_derived_cl11, zip_derived_cl86])).
% 0.56/0.85 thf(zip_derived_cl120, plain,
% 0.56/0.85 (![X0 : $i]:
% 0.56/0.85 ( (LE @ (f @ X0) @ (s @ (s @ 0)))
% 0.56/0.85 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ X0))))
% 0.56/0.85 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0)))))),
% 0.56/0.85 inference('clc', [status(thm)], [zip_derived_cl119, zip_derived_cl90])).
% 0.56/0.85 thf(zip_derived_cl89, plain,
% 0.56/0.85 (![X0 : $i]:
% 0.56/0.85 ( (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ X0))))
% 0.56/0.85 | (LE @ (f @ X0) @ (s @ (s @ 0))))),
% 0.56/0.85 inference('demod', [status(thm)], [zip_derived_cl10, zip_derived_cl86])).
% 0.56/0.85 thf(zip_derived_cl121, plain,
% 0.56/0.85 (![X0 : $i]:
% 0.56/0.85 (~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 0.56/0.85 | (LE @ (f @ X0) @ (s @ (s @ 0))))),
% 0.56/0.85 inference('clc', [status(thm)], [zip_derived_cl120, zip_derived_cl89])).
% 0.56/0.85 thf(zip_derived_cl129, plain,
% 0.56/0.85 (![X0 : $i]:
% 0.56/0.85 (~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 0.56/0.85 | ~ (E @ (s @ (s @ 0)) @ (f @ X0))
% 0.56/0.85 | (LE @ (f @ X0) @ (s @ (s @ 0))))),
% 0.56/0.85 inference('clc', [status(thm)], [zip_derived_cl101, zip_derived_cl121])).
% 0.56/0.85 thf(zip_derived_cl90, plain,
% 0.56/0.85 (![X0 : $i]:
% 0.56/0.85 ( (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 0.56/0.85 | (LE @ (f @ X0) @ (s @ (s @ 0))))),
% 0.56/0.85 inference('demod', [status(thm)], [zip_derived_cl11, zip_derived_cl86])).
% 0.56/0.85 thf(zip_derived_cl130, plain,
% 0.56/0.85 (![X0 : $i]:
% 0.56/0.85 ( (LE @ (f @ X0) @ (s @ (s @ 0))) | ~ (E @ (s @ (s @ 0)) @ (f @ X0)))),
% 0.56/0.85 inference('clc', [status(thm)], [zip_derived_cl129, zip_derived_cl90])).
% 0.56/0.85 thf(zip_derived_cl88, plain,
% 0.56/0.85 (![X0 : $i]:
% 0.56/0.85 ( (E @ (s @ (s @ 0)) @ (f @ X0)) | (LE @ (f @ X0) @ (s @ (s @ 0))))),
% 0.56/0.85 inference('demod', [status(thm)], [zip_derived_cl7, zip_derived_cl86])).
% 0.56/0.85 thf(zip_derived_cl131, plain, (![X0 : $i]: (LE @ (f @ X0) @ (s @ (s @ 0)))),
% 0.56/0.85 inference('clc', [status(thm)], [zip_derived_cl130, zip_derived_cl88])).
% 0.56/0.85 thf(zip_derived_cl134, plain,
% 0.56/0.85 (![X0 : $i]:
% 0.56/0.85 ( (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 0.56/0.85 | (LE @ (f @ X0) @ (s @ 0)))),
% 0.56/0.85 inference('demod', [status(thm)], [zip_derived_cl20, zip_derived_cl131])).
% 0.56/0.85 thf(clause_5, axiom,
% 0.56/0.85 (( ~( E @ ( f @ A_3 ) @ ( f @ ( suc @ ( suc @ A_3 ) ) ) ) ) |
% 0.56/0.85 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ ( suc @ ( suc @ A_3 ) ) ) ) ) ) |
% 0.56/0.85 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ A_3 ) ) ) ) |
% 0.56/0.85 ( ~( E @ ( f @ A_3 ) @ ( f @ ( suc @ A_3 ) ) ) ) |
% 0.56/0.85 ( ~( E @ ( s @ 0 ) @ ( f @ A_3 ) ) ) |
% 0.56/0.85 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ ( suc @ A_3 ) ) ) ) ))).
% 0.56/0.85 thf(zip_derived_cl21, plain,
% 0.56/0.85 (![X0 : $i]:
% 0.56/0.85 (~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 0.56/0.85 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 0.56/0.85 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 0.56/0.85 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.56/0.85 | ~ (E @ (s @ 0) @ (f @ X0))
% 0.56/0.85 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0)))))),
% 0.56/0.85 inference('cnf', [status(esa)], [clause_5])).
% 0.56/0.85 thf(zip_derived_cl147, plain,
% 0.56/0.85 (![X0 : $i]:
% 0.56/0.85 ( (LE @ (f @ X0) @ (s @ 0))
% 0.56/0.85 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 0.56/0.85 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 0.56/0.85 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.56/0.85 | ~ (E @ (s @ 0) @ (f @ X0))
% 0.56/0.85 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0)))))),
% 0.56/0.85 inference('s_sup-', [status(thm)], [zip_derived_cl134, zip_derived_cl21])).
% 0.56/0.85 thf(clause_34, axiom,
% 0.56/0.85 (( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ ( suc @ A_3 ) ) ) ) ) |
% 0.56/0.85 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ A_3 ) ) ) ) |
% 0.56/0.85 ( ~( E @ ( f @ A_3 ) @ ( f @ ( suc @ A_3 ) ) ) ) |
% 0.56/0.85 ( ~( E @ ( s @ 0 ) @ ( f @ A_3 ) ) ) |
% 0.56/0.85 ( E @ ( f @ A_3 ) @ ( f @ ( suc @ ( suc @ A_3 ) ) ) ))).
% 0.56/0.85 thf(zip_derived_cl28, plain,
% 0.56/0.85 (![X0 : $i]:
% 0.56/0.85 (~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 0.56/0.85 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 0.56/0.85 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.56/0.85 | ~ (E @ (s @ 0) @ (f @ X0))
% 0.56/0.85 | (E @ (f @ X0) @ (f @ (suc @ (suc @ X0)))))),
% 0.56/0.85 inference('cnf', [status(esa)], [clause_34])).
% 0.56/0.85 thf(clause_13, axiom,
% 0.56/0.85 (( ~( E @ ( s @ 0 ) @ ( f @ A_3 ) ) ) |
% 0.56/0.85 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ A_3 ) ) ) ) |
% 0.56/0.85 ( E @ ( f @ A_3 ) @ ( f @ ( suc @ A_3 ) ) ))).
% 0.56/0.85 thf(zip_derived_cl15, plain,
% 0.56/0.85 (![X0 : $i]:
% 0.56/0.85 (~ (E @ (s @ 0) @ (f @ X0))
% 0.56/0.85 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 0.56/0.85 | (E @ (f @ X0) @ (f @ (suc @ X0))))),
% 0.56/0.85 inference('cnf', [status(esa)], [clause_13])).
% 0.56/0.85 thf(zip_derived_cl53, plain,
% 0.56/0.85 (![X0 : $i]:
% 0.56/0.85 ( (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 0.56/0.85 | ~ (E @ (s @ 0) @ (f @ X0))
% 0.56/0.85 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 0.56/0.85 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0)))))),
% 0.56/0.85 inference('clc', [status(thm)], [zip_derived_cl28, zip_derived_cl15])).
% 0.56/0.85 thf(zip_derived_cl151, plain,
% 0.56/0.85 (![X0 : $i]:
% 0.56/0.85 (~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 0.56/0.85 | ~ (E @ (s @ 0) @ (f @ X0))
% 0.56/0.85 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.56/0.85 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 0.56/0.85 | (LE @ (f @ X0) @ (s @ 0)))),
% 0.56/0.85 inference('clc', [status(thm)], [zip_derived_cl147, zip_derived_cl53])).
% 0.56/0.85 thf(clause_27, axiom,
% 0.56/0.85 (( ~( LE @ ( f @ ( suc @ ( suc @ B_1 ) ) ) @ ( s @ ( s @ 0 ) ) ) ) |
% 0.56/0.85 ( E @ ( s @ 0 ) @ ( f @ ( suc @ ( suc @ B_1 ) ) ) ) |
% 0.56/0.85 ( LE @ ( f @ B_1 ) @ ( s @ 0 ) ))).
% 0.56/0.85 thf(zip_derived_cl1, plain,
% 0.56/0.85 (![X0 : $i]:
% 0.56/0.85 (~ (LE @ (f @ (suc @ (suc @ X0))) @ (s @ (s @ 0)))
% 0.56/0.85 | (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 0.56/0.85 | (LE @ (f @ X0) @ (s @ 0)))),
% 0.56/0.85 inference('cnf', [status(esa)], [clause_27])).
% 0.56/0.85 thf(zip_derived_cl131, plain, (![X0 : $i]: (LE @ (f @ X0) @ (s @ (s @ 0)))),
% 0.56/0.85 inference('clc', [status(thm)], [zip_derived_cl130, zip_derived_cl88])).
% 0.56/0.85 thf(zip_derived_cl132, plain,
% 0.56/0.85 (![X0 : $i]:
% 0.56/0.85 ( (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 0.56/0.85 | (LE @ (f @ X0) @ (s @ 0)))),
% 0.56/0.85 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl131])).
% 0.56/0.85 thf(zip_derived_cl152, plain,
% 0.56/0.85 (![X0 : $i]:
% 0.56/0.85 ( (LE @ (f @ X0) @ (s @ 0))
% 0.56/0.85 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 0.56/0.85 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.56/0.85 | ~ (E @ (s @ 0) @ (f @ X0)))),
% 0.56/0.85 inference('clc', [status(thm)], [zip_derived_cl151, zip_derived_cl132])).
% 0.56/0.85 thf(clause_25, axiom,
% 0.56/0.85 (( ~( LE @ ( f @ ( suc @ B_1 ) ) @ ( s @ ( s @ 0 ) ) ) ) |
% 0.56/0.85 ( E @ ( s @ 0 ) @ ( f @ ( suc @ B_1 ) ) ) |
% 0.56/0.85 ( LE @ ( f @ B_1 ) @ ( s @ 0 ) ))).
% 0.56/0.85 thf(zip_derived_cl9, plain,
% 0.56/0.85 (![X0 : $i]:
% 0.56/0.85 (~ (LE @ (f @ (suc @ X0)) @ (s @ (s @ 0)))
% 0.56/0.85 | (E @ (s @ 0) @ (f @ (suc @ X0)))
% 0.56/0.85 | (LE @ (f @ X0) @ (s @ 0)))),
% 0.56/0.85 inference('cnf', [status(esa)], [clause_25])).
% 0.56/0.85 thf(zip_derived_cl131, plain, (![X0 : $i]: (LE @ (f @ X0) @ (s @ (s @ 0)))),
% 0.56/0.85 inference('clc', [status(thm)], [zip_derived_cl130, zip_derived_cl88])).
% 0.56/0.85 thf(zip_derived_cl133, plain,
% 0.56/0.85 (![X0 : $i]:
% 0.56/0.85 ( (E @ (s @ 0) @ (f @ (suc @ X0))) | (LE @ (f @ X0) @ (s @ 0)))),
% 0.56/0.85 inference('demod', [status(thm)], [zip_derived_cl9, zip_derived_cl131])).
% 0.56/0.85 thf(zip_derived_cl153, plain,
% 0.56/0.85 (![X0 : $i]:
% 0.56/0.85 (~ (E @ (s @ 0) @ (f @ X0))
% 0.56/0.85 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.56/0.85 | (LE @ (f @ X0) @ (s @ 0)))),
% 0.56/0.85 inference('clc', [status(thm)], [zip_derived_cl152, zip_derived_cl133])).
% 0.56/0.85 thf(clause_16, axiom,
% 0.56/0.85 (( ~( LE @ ( f @ B_1 ) @ ( s @ ( s @ 0 ) ) ) ) |
% 0.56/0.85 ( E @ ( s @ 0 ) @ ( f @ B_1 ) ) | ( LE @ ( f @ B_1 ) @ ( s @ 0 ) ))).
% 0.56/0.85 thf(zip_derived_cl25, plain,
% 0.56/0.85 (![X0 : $i]:
% 0.56/0.85 (~ (LE @ (f @ X0) @ (s @ (s @ 0)))
% 0.56/0.85 | (E @ (s @ 0) @ (f @ X0))
% 0.56/0.85 | (LE @ (f @ X0) @ (s @ 0)))),
% 0.56/0.85 inference('cnf', [status(esa)], [clause_16])).
% 0.56/0.85 thf(zip_derived_cl131, plain, (![X0 : $i]: (LE @ (f @ X0) @ (s @ (s @ 0)))),
% 0.56/0.85 inference('clc', [status(thm)], [zip_derived_cl130, zip_derived_cl88])).
% 0.56/0.85 thf(zip_derived_cl135, plain,
% 0.56/0.85 (![X0 : $i]: ( (E @ (s @ 0) @ (f @ X0)) | (LE @ (f @ X0) @ (s @ 0)))),
% 0.56/0.85 inference('demod', [status(thm)], [zip_derived_cl25, zip_derived_cl131])).
% 0.56/0.85 thf(zip_derived_cl154, plain,
% 0.56/0.85 (![X0 : $i]:
% 0.56/0.85 ( (LE @ (f @ X0) @ (s @ 0)) | ~ (E @ (f @ X0) @ (f @ (suc @ X0))))),
% 0.56/0.85 inference('clc', [status(thm)], [zip_derived_cl153, zip_derived_cl135])).
% 0.56/0.85 thf(zip_derived_cl15, plain,
% 0.56/0.85 (![X0 : $i]:
% 0.56/0.85 (~ (E @ (s @ 0) @ (f @ X0))
% 0.56/0.85 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 0.56/0.85 | (E @ (f @ X0) @ (f @ (suc @ X0))))),
% 0.56/0.85 inference('cnf', [status(esa)], [clause_13])).
% 0.56/0.85 thf(zip_derived_cl156, plain,
% 0.56/0.85 (![X0 : $i]:
% 0.56/0.85 ( (LE @ (f @ X0) @ (s @ 0))
% 0.56/0.85 | ~ (E @ (s @ 0) @ (f @ X0))
% 0.56/0.85 | ~ (E @ (s @ 0) @ (f @ (suc @ X0))))),
% 0.56/0.85 inference('s_sup+', [status(thm)], [zip_derived_cl154, zip_derived_cl15])).
% 0.56/0.85 thf(zip_derived_cl135, plain,
% 0.56/0.85 (![X0 : $i]: ( (E @ (s @ 0) @ (f @ X0)) | (LE @ (f @ X0) @ (s @ 0)))),
% 0.56/0.85 inference('demod', [status(thm)], [zip_derived_cl25, zip_derived_cl131])).
% 0.56/0.85 thf(zip_derived_cl166, plain,
% 0.56/0.85 (![X0 : $i]:
% 0.56/0.85 (~ (E @ (s @ 0) @ (f @ (suc @ X0))) | (LE @ (f @ X0) @ (s @ 0)))),
% 0.56/0.85 inference('clc', [status(thm)], [zip_derived_cl156, zip_derived_cl135])).
% 0.56/0.85 thf(zip_derived_cl133, plain,
% 0.56/0.85 (![X0 : $i]:
% 0.56/0.85 ( (E @ (s @ 0) @ (f @ (suc @ X0))) | (LE @ (f @ X0) @ (s @ 0)))),
% 0.56/0.85 inference('demod', [status(thm)], [zip_derived_cl9, zip_derived_cl131])).
% 0.56/0.85 thf(zip_derived_cl167, plain, (![X0 : $i]: (LE @ (f @ X0) @ (s @ 0))),
% 0.56/0.85 inference('clc', [status(thm)], [zip_derived_cl166, zip_derived_cl133])).
% 0.56/0.85 thf(zip_derived_cl168, plain,
% 0.56/0.85 (![X0 : $i]:
% 0.56/0.85 ( (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0))))) | (LE @ (f @ X0) @ 0))),
% 0.56/0.85 inference('demod', [status(thm)], [zip_derived_cl2, zip_derived_cl167])).
% 0.56/0.85 thf(clause_7, axiom,
% 0.56/0.85 (( ~( E @ 0 @ ( f @ ( suc @ ( suc @ A_4 ) ) ) ) ) |
% 0.56/0.85 ( ~( E @ 0 @ ( f @ ( suc @ A_4 ) ) ) ) |
% 0.56/0.85 ( ~( E @ ( f @ A_4 ) @ ( f @ ( suc @ A_4 ) ) ) ) |
% 0.56/0.85 ( ~( E @ 0 @ ( f @ A_4 ) ) ) |
% 0.56/0.85 ( E @ ( f @ A_4 ) @ ( f @ ( suc @ ( suc @ A_4 ) ) ) ))).
% 0.56/0.85 thf(zip_derived_cl26, plain,
% 0.56/0.85 (![X0 : $i]:
% 0.56/0.85 (~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 0.56/0.85 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.56/0.85 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.56/0.85 | ~ (E @ 0 @ (f @ X0))
% 0.56/0.85 | (E @ (f @ X0) @ (f @ (suc @ (suc @ X0)))))),
% 0.56/0.85 inference('cnf', [status(esa)], [clause_7])).
% 0.56/0.85 thf(clause_14, axiom,
% 0.56/0.85 (( ~( E @ 0 @ ( f @ A_4 ) ) ) | ( ~( E @ 0 @ ( f @ ( suc @ A_4 ) ) ) ) |
% 0.56/0.85 ( E @ ( f @ A_4 ) @ ( f @ ( suc @ A_4 ) ) ))).
% 0.56/0.85 thf(zip_derived_cl8, plain,
% 0.56/0.85 (![X0 : $i]:
% 0.56/0.85 (~ (E @ 0 @ (f @ X0))
% 0.56/0.85 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.56/0.85 | (E @ (f @ X0) @ (f @ (suc @ X0))))),
% 0.56/0.85 inference('cnf', [status(esa)], [clause_14])).
% 0.56/0.85 thf(zip_derived_cl36, plain,
% 0.56/0.85 (![X0 : $i]:
% 0.56/0.85 ( (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 0.56/0.85 | ~ (E @ 0 @ (f @ X0))
% 0.56/0.85 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.56/0.85 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0)))))),
% 0.56/0.85 inference('clc', [status(thm)], [zip_derived_cl26, zip_derived_cl8])).
% 0.56/0.85 thf(clause_11, axiom,
% 0.56/0.85 (( ~( E @ ( f @ A_4 ) @ ( f @ ( suc @ A_4 ) ) ) ) |
% 0.56/0.85 ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ ( suc @ A_4 ) ) ) ) ) ) |
% 0.56/0.85 ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ A_4 ) ) ) ) ) |
% 0.56/0.85 ( ~( E @ 0 @ ( f @ ( suc @ A_4 ) ) ) ) |
% 0.56/0.85 ( ~( E @ ( f @ A_4 ) @ ( f @ ( suc @ ( suc @ A_4 ) ) ) ) ) |
% 0.56/0.85 ( ~( E @ 0 @ ( f @ A_4 ) ) ))).
% 0.56/0.85 thf(zip_derived_cl0, plain,
% 0.56/0.85 (![X0 : $i]:
% 0.56/0.85 (~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.56/0.85 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0)))))
% 0.56/0.85 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 0.56/0.85 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.56/0.85 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 0.56/0.85 | ~ (E @ 0 @ (f @ X0)))),
% 0.56/0.85 inference('cnf', [status(esa)], [clause_11])).
% 0.56/0.85 thf(zip_derived_cl8, plain,
% 0.56/0.85 (![X0 : $i]:
% 0.56/0.85 (~ (E @ 0 @ (f @ X0))
% 0.56/0.85 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.56/0.85 | (E @ (f @ X0) @ (f @ (suc @ X0))))),
% 0.56/0.85 inference('cnf', [status(esa)], [clause_14])).
% 0.56/0.85 thf(zip_derived_cl30, plain,
% 0.56/0.85 (![X0 : $i]:
% 0.56/0.85 (~ (E @ 0 @ (f @ X0))
% 0.56/0.85 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 0.56/0.85 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.56/0.85 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 0.56/0.85 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0))))))),
% 0.56/0.85 inference('clc', [status(thm)], [zip_derived_cl0, zip_derived_cl8])).
% 0.56/0.85 thf(zip_derived_cl37, plain,
% 0.56/0.85 (![X0 : $i]:
% 0.56/0.85 (~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 0.56/0.85 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.56/0.85 | ~ (E @ 0 @ (f @ X0))
% 0.56/0.85 | ~ (E @ 0 @ (f @ X0))
% 0.56/0.85 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.56/0.85 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 0.56/0.85 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0))))))),
% 0.56/0.85 inference('s_sup-', [status(thm)], [zip_derived_cl36, zip_derived_cl30])).
% 0.56/0.85 thf(zip_derived_cl38, plain,
% 0.56/0.85 (![X0 : $i]:
% 0.56/0.85 (~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0)))))
% 0.56/0.85 | ~ (E @ 0 @ (f @ X0))
% 0.56/0.85 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.56/0.85 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0)))))),
% 0.56/0.85 inference('simplify', [status(thm)], [zip_derived_cl37])).
% 0.56/0.85 thf(zip_derived_cl175, plain,
% 0.56/0.85 (![X0 : $i]:
% 0.56/0.85 ( (LE @ (f @ X0) @ 0)
% 0.56/0.85 | ~ (E @ 0 @ (f @ X0))
% 0.56/0.85 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.56/0.85 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0)))))),
% 0.56/0.85 inference('s_sup-', [status(thm)], [zip_derived_cl168, zip_derived_cl38])).
% 0.56/0.85 thf(clause_4, axiom,
% 0.56/0.85 (( ~( LE @ ( f @ B_2 ) @ ( s @ 0 ) ) ) | ( E @ 0 @ ( f @ B_2 ) ) |
% 0.56/0.85 ( LE @ ( f @ B_2 ) @ 0 ))).
% 0.56/0.85 thf(zip_derived_cl22, plain,
% 0.56/0.85 (![X0 : $i]:
% 0.56/0.85 (~ (LE @ (f @ X0) @ (s @ 0))
% 0.56/0.85 | (E @ 0 @ (f @ X0))
% 0.56/0.85 | (LE @ (f @ X0) @ 0))),
% 0.56/0.85 inference('cnf', [status(esa)], [clause_4])).
% 0.56/0.85 thf(zip_derived_cl167, plain, (![X0 : $i]: (LE @ (f @ X0) @ (s @ 0))),
% 0.56/0.85 inference('clc', [status(thm)], [zip_derived_cl166, zip_derived_cl133])).
% 0.56/0.85 thf(zip_derived_cl171, plain,
% 0.56/0.85 (![X0 : $i]: ( (E @ 0 @ (f @ X0)) | (LE @ (f @ X0) @ 0))),
% 0.56/0.85 inference('demod', [status(thm)], [zip_derived_cl22, zip_derived_cl167])).
% 0.56/0.85 thf(zip_derived_cl176, plain,
% 0.56/0.85 (![X0 : $i]:
% 0.56/0.85 (~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 0.56/0.85 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.56/0.85 | (LE @ (f @ X0) @ 0))),
% 0.56/0.85 inference('clc', [status(thm)], [zip_derived_cl175, zip_derived_cl171])).
% 0.56/0.85 thf(clause_37, axiom,
% 0.56/0.85 (( ~( LE @ ( f @ ( suc @ ( suc @ B_2 ) ) ) @ ( s @ 0 ) ) ) |
% 0.56/0.85 ( E @ 0 @ ( f @ ( suc @ ( suc @ B_2 ) ) ) ) | ( LE @ ( f @ B_2 ) @ 0 ))).
% 0.56/0.85 thf(zip_derived_cl14, plain,
% 0.56/0.85 (![X0 : $i]:
% 0.56/0.85 (~ (LE @ (f @ (suc @ (suc @ X0))) @ (s @ 0))
% 0.56/0.85 | (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 0.56/0.85 | (LE @ (f @ X0) @ 0))),
% 0.56/0.85 inference('cnf', [status(esa)], [clause_37])).
% 0.56/0.85 thf(zip_derived_cl167, plain, (![X0 : $i]: (LE @ (f @ X0) @ (s @ 0))),
% 0.56/0.85 inference('clc', [status(thm)], [zip_derived_cl166, zip_derived_cl133])).
% 0.56/0.85 thf(zip_derived_cl170, plain,
% 0.56/0.85 (![X0 : $i]: ( (E @ 0 @ (f @ (suc @ (suc @ X0)))) | (LE @ (f @ X0) @ 0))),
% 0.56/0.85 inference('demod', [status(thm)], [zip_derived_cl14, zip_derived_cl167])).
% 0.56/0.85 thf(zip_derived_cl177, plain,
% 0.56/0.85 (![X0 : $i]: ( (LE @ (f @ X0) @ 0) | ~ (E @ 0 @ (f @ (suc @ X0))))),
% 0.56/0.85 inference('clc', [status(thm)], [zip_derived_cl176, zip_derived_cl170])).
% 0.56/0.85 thf(clause_23, axiom,
% 0.56/0.85 (( ~( LE @ ( f @ ( suc @ B_2 ) ) @ ( s @ 0 ) ) ) |
% 0.56/0.85 ( E @ 0 @ ( f @ ( suc @ B_2 ) ) ) | ( LE @ ( f @ B_2 ) @ 0 ))).
% 0.56/0.85 thf(zip_derived_cl5, plain,
% 0.56/0.85 (![X0 : $i]:
% 0.56/0.85 (~ (LE @ (f @ (suc @ X0)) @ (s @ 0))
% 0.56/0.85 | (E @ 0 @ (f @ (suc @ X0)))
% 0.56/0.85 | (LE @ (f @ X0) @ 0))),
% 0.56/0.85 inference('cnf', [status(esa)], [clause_23])).
% 0.56/0.85 thf(zip_derived_cl167, plain, (![X0 : $i]: (LE @ (f @ X0) @ (s @ 0))),
% 0.56/0.85 inference('clc', [status(thm)], [zip_derived_cl166, zip_derived_cl133])).
% 0.56/0.85 thf(zip_derived_cl169, plain,
% 0.56/0.85 (![X0 : $i]: ( (E @ 0 @ (f @ (suc @ X0))) | (LE @ (f @ X0) @ 0))),
% 0.56/0.85 inference('demod', [status(thm)], [zip_derived_cl5, zip_derived_cl167])).
% 0.56/0.85 thf(zip_derived_cl178, plain, (![X0 : $i]: (LE @ (f @ X0) @ 0)),
% 0.56/0.85 inference('clc', [status(thm)], [zip_derived_cl177, zip_derived_cl169])).
% 0.56/0.85 thf(zip_derived_cl179, plain, ($false),
% 0.56/0.85 inference('demod', [status(thm)], [zip_derived_cl17, zip_derived_cl178])).
% 0.56/0.85
% 0.56/0.85 % SZS output end Refutation
% 0.56/0.85
% 0.56/0.85
% 0.56/0.85 % Terminating...
% 0.62/0.96 % Runner terminated.
% 0.62/0.97 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------