TSTP Solution File: SYO678-1 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYO678-1 : TPTP v8.1.2. Released v7.3.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.XOox0QBVUj true
% Computer : n007.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 1 05:52:32 EDT 2023
% Result : Unsatisfiable 1.46s 1.02s
% Output : Refutation 1.46s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYO678-1 : TPTP v8.1.2. Released v7.3.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.XOox0QBVUj true
% 0.13/0.34 % Computer : n007.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 : Sat Aug 26 05:47:41 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox2/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
% 0.19/0.61 % Total configuration time : 435
% 0.19/0.61 % Estimated wc time : 1092
% 0.19/0.61 % Estimated cpu time (7 cpus) : 156.0
% 0.19/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.19/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.19/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.19/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.19/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 1.10/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.10/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.31/0.81 % /export/starexec/sandbox2/solver/bin/fo/fo1_lcnf.sh running for 50s
% 1.46/1.02 % Solved by fo/fo5.sh.
% 1.46/1.02 % done 181 iterations in 0.179s
% 1.46/1.02 % SZS status Unsatisfiable for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.46/1.02 % SZS output start Refutation
% 1.46/1.02 thf(0_type, type, 0: $i).
% 1.46/1.02 thf(suc_type, type, suc: $i > $i).
% 1.46/1.02 thf(f_type, type, f: $i > $i).
% 1.46/1.02 thf(iLEQ_type, type, iLEQ: $i > $i > $o).
% 1.46/1.02 thf(LE_type, type, LE: $i > $i > $o).
% 1.46/1.02 thf(E_type, type, E: $i > $i > $o).
% 1.46/1.02 thf(s_type, type, s: $i > $i).
% 1.46/1.02 thf(z_type, type, z: $i).
% 1.46/1.02 thf(clause_237, axiom, (~( LE @ ( f @ z ) @ 0 ))).
% 1.46/1.02 thf(zip_derived_cl17, plain, (~ (LE @ (f @ z) @ 0)),
% 1.46/1.02 inference('cnf', [status(esa)], [clause_237])).
% 1.46/1.02 thf(clause_133, axiom,
% 1.46/1.02 (( ~( LE @ ( f @ ( suc @ ( suc @ ( suc @ B_16 ) ) ) ) @ ( s @ 0 ) ) ) |
% 1.46/1.02 ( E @ 0 @ ( f @ ( suc @ ( suc @ ( suc @ B_16 ) ) ) ) ) |
% 1.46/1.02 ( LE @ ( f @ B_16 ) @ 0 ))).
% 1.46/1.02 thf(zip_derived_cl31, plain,
% 1.46/1.02 (![X0 : $i]:
% 1.46/1.02 (~ (LE @ (f @ (suc @ (suc @ (suc @ X0)))) @ (s @ 0))
% 1.46/1.02 | (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0)))))
% 1.46/1.02 | (LE @ (f @ X0) @ 0))),
% 1.46/1.02 inference('cnf', [status(esa)], [clause_133])).
% 1.46/1.02 thf(clause_410, axiom,
% 1.46/1.02 (( ~( LE @ ( f @ ( suc @ ( suc @ ( suc @ B_13 ) ) ) ) @ ( s @ ( s @ 0 ) ) ) ) |
% 1.46/1.02 ( E @ ( s @ 0 ) @ ( f @ ( suc @ ( suc @ ( suc @ B_13 ) ) ) ) ) |
% 1.46/1.02 ( LE @ ( f @ B_13 ) @ ( s @ 0 ) ))).
% 1.46/1.02 thf(zip_derived_cl24, plain,
% 1.46/1.02 (![X0 : $i]:
% 1.46/1.02 (~ (LE @ (f @ (suc @ (suc @ (suc @ X0)))) @ (s @ (s @ 0)))
% 1.46/1.02 | (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 1.46/1.02 | (LE @ (f @ X0) @ (s @ 0)))),
% 1.46/1.02 inference('cnf', [status(esa)], [clause_410])).
% 1.46/1.02 thf(clause_350, axiom,
% 1.46/1.02 (( ~( LE @
% 1.46/1.02 ( f @ ( suc @ ( suc @ ( suc @ B_9 ) ) ) ) @ ( s @ ( s @ ( s @ 0 ) ) ) ) ) |
% 1.46/1.02 ( E @ ( s @ ( s @ 0 ) ) @ ( f @ ( suc @ ( suc @ ( suc @ B_9 ) ) ) ) ) |
% 1.46/1.02 ( LE @ ( f @ B_9 ) @ ( s @ ( s @ 0 ) ) ))).
% 1.46/1.02 thf(zip_derived_cl3, plain,
% 1.46/1.02 (![X0 : $i]:
% 1.46/1.02 (~ (LE @ (f @ (suc @ (suc @ (suc @ X0)))) @ (s @ (s @ (s @ 0))))
% 1.46/1.02 | (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 1.46/1.02 | (LE @ (f @ X0) @ (s @ (s @ 0))))),
% 1.46/1.02 inference('cnf', [status(esa)], [clause_350])).
% 1.46/1.02 thf(clause_14, axiom,
% 1.46/1.02 (( ~( LE @
% 1.46/1.02 ( f @ ( suc @ ( suc @ ( suc @ B_4 ) ) ) ) @
% 1.46/1.02 ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) ) ) |
% 1.46/1.02 ( E @
% 1.46/1.02 ( s @ ( s @ ( s @ 0 ) ) ) @ ( f @ ( suc @ ( suc @ ( suc @ B_4 ) ) ) ) ) |
% 1.46/1.02 ( LE @ ( f @ B_4 ) @ ( s @ ( s @ ( s @ 0 ) ) ) ))).
% 1.46/1.02 thf(zip_derived_cl10, plain,
% 1.46/1.02 (![X0 : $i]:
% 1.46/1.02 (~ (LE @ (f @ (suc @ (suc @ (suc @ X0)))) @ (s @ (s @ (s @ (s @ 0)))))
% 1.46/1.02 | (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 1.46/1.02 | (LE @ (f @ X0) @ (s @ (s @ (s @ 0)))))),
% 1.46/1.02 inference('cnf', [status(esa)], [clause_14])).
% 1.46/1.02 thf(clause_330, axiom, (LE @ ( f @ A ) @ ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ))).
% 1.46/1.02 thf(zip_derived_cl45, plain,
% 1.46/1.02 (![X0 : $i]: (LE @ (f @ X0) @ (s @ (s @ (s @ (s @ 0)))))),
% 1.46/1.02 inference('cnf', [status(esa)], [clause_330])).
% 1.46/1.02 thf(zip_derived_cl73, plain,
% 1.46/1.02 (![X0 : $i]:
% 1.46/1.02 ( (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 1.46/1.02 | (LE @ (f @ X0) @ (s @ (s @ (s @ 0)))))),
% 1.46/1.02 inference('demod', [status(thm)], [zip_derived_cl10, zip_derived_cl45])).
% 1.46/1.02 thf(clause_38, axiom,
% 1.46/1.02 (( ~( E @ ( s @ ( s @ ( s @ 0 ) ) ) @ ( f @ ( suc @ B_5 ) ) ) ) |
% 1.46/1.02 ( ~( E @ ( f @ B_5 ) @ ( f @ ( suc @ B_5 ) ) ) ) |
% 1.46/1.02 ( ~( iLEQ @ ( suc @ A_1 ) @ ( suc @ B_5 ) ) ) |
% 1.46/1.02 ( ~( E @
% 1.46/1.02 ( s @ ( s @ ( s @ 0 ) ) ) @ ( f @ ( suc @ ( suc @ ( suc @ A_1 ) ) ) ) ) ) |
% 1.46/1.02 ( ~( E @ ( s @ ( s @ ( s @ 0 ) ) ) @ ( f @ B_5 ) ) ) |
% 1.46/1.02 ( ~( E @ ( s @ ( s @ ( s @ 0 ) ) ) @ ( f @ A_1 ) ) ) |
% 1.46/1.02 ( ~( E @ ( s @ ( s @ ( s @ 0 ) ) ) @ ( f @ ( suc @ ( suc @ A_1 ) ) ) ) ) |
% 1.46/1.02 ( ~( E @ ( f @ A_1 ) @ ( f @ ( suc @ ( suc @ A_1 ) ) ) ) ) |
% 1.46/1.02 ( ~( E @
% 1.46/1.02 ( s @ ( s @ ( s @ 0 ) ) ) @ ( f @ ( suc @ ( suc @ ( suc @ B_5 ) ) ) ) ) ) |
% 1.46/1.02 ( ~( E @ ( f @ A_1 ) @ ( f @ ( suc @ A_1 ) ) ) ) |
% 1.46/1.02 ( ~( E @ ( s @ ( s @ ( s @ 0 ) ) ) @ ( f @ ( suc @ ( suc @ B_5 ) ) ) ) ) |
% 1.46/1.02 ( ~( E @ ( s @ ( s @ ( s @ 0 ) ) ) @ ( f @ ( suc @ A_1 ) ) ) ) |
% 1.46/1.02 ( ~( E @ ( f @ B_5 ) @ ( f @ ( suc @ ( suc @ B_5 ) ) ) ) ))).
% 1.46/1.02 thf(zip_derived_cl15, plain,
% 1.46/1.02 (![X0 : $i, X1 : $i]:
% 1.46/1.02 (~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ X0)))
% 1.46/1.02 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.46/1.02 | ~ (iLEQ @ (suc @ X1) @ (suc @ X0))
% 1.46/1.02 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ (suc @ (suc @ X1)))))
% 1.46/1.02 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ X0))
% 1.46/1.02 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ X1))
% 1.46/1.02 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ (suc @ X1))))
% 1.46/1.02 | ~ (E @ (f @ X1) @ (f @ (suc @ (suc @ X1))))
% 1.46/1.02 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 1.46/1.02 | ~ (E @ (f @ X1) @ (f @ (suc @ X1)))
% 1.46/1.02 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ (suc @ X0))))
% 1.46/1.02 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ X1)))
% 1.46/1.02 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0)))))),
% 1.46/1.02 inference('cnf', [status(esa)], [clause_38])).
% 1.46/1.02 thf(zip_derived_cl237, plain,
% 1.46/1.02 (![X0 : $i]:
% 1.46/1.02 (~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 1.46/1.02 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ X0)))
% 1.46/1.02 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ (suc @ X0))))
% 1.46/1.02 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.46/1.02 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 1.46/1.02 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 1.46/1.02 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ (suc @ X0))))
% 1.46/1.02 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ X0))
% 1.46/1.02 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ X0))
% 1.46/1.02 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 1.46/1.02 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.46/1.02 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ X0))))),
% 1.46/1.02 inference('eq_fact', [status(thm)], [zip_derived_cl15])).
% 1.46/1.02 thf(zip_derived_cl238, plain,
% 1.46/1.02 (![X0 : $i]:
% 1.46/1.02 (~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 1.46/1.02 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ X0))
% 1.46/1.02 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 1.46/1.02 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.46/1.02 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ (suc @ X0))))
% 1.46/1.02 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ X0)))
% 1.46/1.02 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0)))))),
% 1.46/1.02 inference('simplify', [status(thm)], [zip_derived_cl237])).
% 1.46/1.02 thf(clause_154, axiom,
% 1.46/1.02 (( ~( E @
% 1.46/1.02 ( s @ ( s @ ( s @ 0 ) ) ) @ ( f @ ( suc @ ( suc @ ( suc @ A_1 ) ) ) ) ) ) |
% 1.46/1.02 ( ~( E @ ( s @ ( s @ ( s @ 0 ) ) ) @ ( f @ A_1 ) ) ) |
% 1.46/1.02 ( ~( E @ ( s @ ( s @ ( s @ 0 ) ) ) @ ( f @ ( suc @ ( suc @ A_1 ) ) ) ) ) |
% 1.46/1.02 ( ~( E @ ( f @ A_1 ) @ ( f @ ( suc @ ( suc @ A_1 ) ) ) ) ) |
% 1.46/1.02 ( ~( E @ ( f @ A_1 ) @ ( f @ ( suc @ A_1 ) ) ) ) |
% 1.46/1.02 ( ~( E @ ( s @ ( s @ ( s @ 0 ) ) ) @ ( f @ ( suc @ A_1 ) ) ) ) |
% 1.46/1.02 ( iLEQ @ ( suc @ A_1 ) @ ( suc @ A_1 ) ))).
% 1.46/1.02 thf(zip_derived_cl8, plain,
% 1.46/1.02 (![X0 : $i]:
% 1.46/1.02 (~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 1.46/1.02 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ X0))
% 1.46/1.02 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ (suc @ X0))))
% 1.46/1.02 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 1.46/1.02 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.46/1.02 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ X0)))
% 1.46/1.02 | (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 1.46/1.02 inference('cnf', [status(esa)], [clause_154])).
% 1.46/1.02 thf(clause_146, axiom,
% 1.46/1.02 (( ~( E @ ( s @ ( s @ ( s @ 0 ) ) ) @ ( f @ ( suc @ ( suc @ A_1 ) ) ) ) ) |
% 1.46/1.02 ( ~( E @ ( s @ ( s @ ( s @ 0 ) ) ) @ ( f @ ( suc @ A_1 ) ) ) ) |
% 1.46/1.02 ( ~( E @ ( f @ A_1 ) @ ( f @ ( suc @ A_1 ) ) ) ) |
% 1.46/1.02 ( ~( E @ ( s @ ( s @ ( s @ 0 ) ) ) @ ( f @ A_1 ) ) ) |
% 1.46/1.02 ( E @ ( f @ A_1 ) @ ( f @ ( suc @ ( suc @ A_1 ) ) ) ) |
% 1.46/1.02 ( iLEQ @ ( suc @ A_1 ) @ ( suc @ A_1 ) ))).
% 1.46/1.02 thf(zip_derived_cl33, plain,
% 1.46/1.02 (![X0 : $i]:
% 1.46/1.02 (~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ (suc @ X0))))
% 1.46/1.02 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ X0)))
% 1.46/1.02 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.46/1.02 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ X0))
% 1.46/1.02 | (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 1.46/1.02 | (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 1.46/1.02 inference('cnf', [status(esa)], [clause_146])).
% 1.46/1.02 thf(clause_173, axiom,
% 1.46/1.02 (( ~( E @ ( s @ ( s @ ( s @ 0 ) ) ) @ ( f @ A_1 ) ) ) |
% 1.46/1.02 ( ~( E @ ( s @ ( s @ ( s @ 0 ) ) ) @ ( f @ ( suc @ A_1 ) ) ) ) |
% 1.46/1.02 ( E @ ( f @ A_1 ) @ ( f @ ( suc @ A_1 ) ) ) |
% 1.46/1.02 ( iLEQ @ ( suc @ A_1 ) @ ( suc @ A_1 ) ))).
% 1.46/1.02 thf(zip_derived_cl60, plain,
% 1.46/1.02 (![X0 : $i]:
% 1.46/1.02 (~ (E @ (s @ (s @ (s @ 0))) @ (f @ X0))
% 1.46/1.02 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ X0)))
% 1.46/1.02 | (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.46/1.02 | (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 1.46/1.02 inference('cnf', [status(esa)], [clause_173])).
% 1.46/1.02 thf(zip_derived_cl99, plain,
% 1.46/1.02 (![X0 : $i]:
% 1.46/1.02 ( (iLEQ @ (suc @ X0) @ (suc @ X0))
% 1.46/1.02 | (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 1.46/1.02 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ X0))
% 1.46/1.02 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ X0)))
% 1.46/1.02 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ (suc @ X0)))))),
% 1.46/1.02 inference('clc', [status(thm)], [zip_derived_cl33, zip_derived_cl60])).
% 1.46/1.02 thf(zip_derived_cl135, plain,
% 1.46/1.02 (![X0 : $i]:
% 1.46/1.02 ( (iLEQ @ (suc @ X0) @ (suc @ X0))
% 1.46/1.02 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ X0)))
% 1.46/1.02 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.46/1.02 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ (suc @ X0))))
% 1.46/1.02 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ X0))
% 1.46/1.02 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ (suc @ (suc @ X0))))))),
% 1.46/1.02 inference('clc', [status(thm)], [zip_derived_cl8, zip_derived_cl99])).
% 1.46/1.02 thf(zip_derived_cl60, plain,
% 1.46/1.02 (![X0 : $i]:
% 1.46/1.02 (~ (E @ (s @ (s @ (s @ 0))) @ (f @ X0))
% 1.46/1.02 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ X0)))
% 1.46/1.02 | (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.46/1.02 | (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 1.46/1.02 inference('cnf', [status(esa)], [clause_173])).
% 1.46/1.02 thf(zip_derived_cl136, plain,
% 1.46/1.02 (![X0 : $i]:
% 1.46/1.02 (~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 1.46/1.02 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ X0))
% 1.46/1.02 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ (suc @ X0))))
% 1.46/1.02 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ X0)))
% 1.46/1.02 | (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 1.46/1.02 inference('clc', [status(thm)], [zip_derived_cl135, zip_derived_cl60])).
% 1.46/1.02 thf(zip_derived_cl247, plain,
% 1.46/1.02 (![X0 : $i]:
% 1.46/1.02 (~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 1.46/1.02 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ X0)))
% 1.46/1.02 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ (suc @ X0))))
% 1.46/1.02 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.46/1.02 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 1.46/1.02 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ X0)))),
% 1.46/1.02 inference('clc', [status(thm)], [zip_derived_cl238, zip_derived_cl136])).
% 1.46/1.02 thf(clause_280, axiom,
% 1.46/1.02 (( ~( E @ ( s @ ( s @ ( s @ 0 ) ) ) @ ( f @ ( suc @ B_5 ) ) ) ) |
% 1.46/1.02 ( ~( E @ ( f @ B_5 ) @ ( f @ ( suc @ B_5 ) ) ) ) |
% 1.46/1.02 ( ~( iLEQ @ ( suc @ A_1 ) @ ( suc @ B_5 ) ) ) |
% 1.46/1.02 ( ~( E @ ( s @ ( s @ ( s @ 0 ) ) ) @ ( f @ B_5 ) ) ) |
% 1.46/1.02 ( ~( E @ ( s @ ( s @ ( s @ 0 ) ) ) @ ( f @ A_1 ) ) ) |
% 1.46/1.02 ( ~( E @ ( s @ ( s @ ( s @ 0 ) ) ) @ ( f @ ( suc @ ( suc @ A_1 ) ) ) ) ) |
% 1.46/1.02 ( ~( E @ ( f @ A_1 ) @ ( f @ ( suc @ A_1 ) ) ) ) |
% 1.46/1.02 ( ~( E @ ( s @ ( s @ ( s @ 0 ) ) ) @ ( f @ ( suc @ ( suc @ B_5 ) ) ) ) ) |
% 1.46/1.02 ( ~( E @ ( s @ ( s @ ( s @ 0 ) ) ) @ ( f @ ( suc @ A_1 ) ) ) ) |
% 1.46/1.02 ( E @ ( f @ A_1 ) @ ( f @ ( suc @ ( suc @ A_1 ) ) ) ) |
% 1.46/1.02 ( E @ ( f @ B_5 ) @ ( f @ ( suc @ ( suc @ B_5 ) ) ) ))).
% 1.46/1.02 thf(zip_derived_cl14, plain,
% 1.46/1.02 (![X0 : $i, X1 : $i]:
% 1.46/1.02 (~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ X0)))
% 1.46/1.02 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.46/1.02 | ~ (iLEQ @ (suc @ X1) @ (suc @ X0))
% 1.46/1.02 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ X0))
% 1.46/1.02 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ X1))
% 1.46/1.02 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ (suc @ X1))))
% 1.46/1.02 | ~ (E @ (f @ X1) @ (f @ (suc @ X1)))
% 1.46/1.02 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ (suc @ X0))))
% 1.46/1.02 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ X1)))
% 1.46/1.02 | (E @ (f @ X1) @ (f @ (suc @ (suc @ X1))))
% 1.46/1.02 | (E @ (f @ X0) @ (f @ (suc @ (suc @ X0)))))),
% 1.46/1.02 inference('cnf', [status(esa)], [clause_280])).
% 1.46/1.02 thf(zip_derived_cl197, plain,
% 1.46/1.02 (![X0 : $i]:
% 1.46/1.02 ( (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 1.46/1.02 | (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 1.46/1.02 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ X0)))
% 1.46/1.02 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ (suc @ X0))))
% 1.46/1.02 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.46/1.02 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ X0))
% 1.46/1.02 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ X0))
% 1.46/1.02 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 1.46/1.02 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.46/1.02 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ X0))))),
% 1.46/1.02 inference('eq_fact', [status(thm)], [zip_derived_cl14])).
% 1.46/1.02 thf(zip_derived_cl198, plain,
% 1.46/1.02 (![X0 : $i]:
% 1.46/1.02 (~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 1.46/1.02 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ X0))
% 1.46/1.02 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.46/1.02 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ (suc @ X0))))
% 1.46/1.02 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ X0)))
% 1.46/1.02 | (E @ (f @ X0) @ (f @ (suc @ (suc @ X0)))))),
% 1.46/1.02 inference('simplify', [status(thm)], [zip_derived_cl197])).
% 1.46/1.02 thf(zip_derived_cl99, plain,
% 1.46/1.02 (![X0 : $i]:
% 1.46/1.02 ( (iLEQ @ (suc @ X0) @ (suc @ X0))
% 1.46/1.02 | (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 1.46/1.02 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ X0))
% 1.46/1.02 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ X0)))
% 1.46/1.02 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ (suc @ X0)))))),
% 1.46/1.02 inference('clc', [status(thm)], [zip_derived_cl33, zip_derived_cl60])).
% 1.46/1.02 thf(zip_derived_cl201, plain,
% 1.46/1.02 (![X0 : $i]:
% 1.46/1.02 ( (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 1.46/1.02 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ X0)))
% 1.46/1.02 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ (suc @ X0))))
% 1.46/1.02 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.46/1.02 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ X0)))),
% 1.46/1.02 inference('clc', [status(thm)], [zip_derived_cl198, zip_derived_cl99])).
% 1.46/1.02 thf(clause_143, axiom,
% 1.46/1.02 (( ~( E @ ( s @ ( s @ ( s @ 0 ) ) ) @ ( f @ ( suc @ B_5 ) ) ) ) |
% 1.46/1.02 ( ~( iLEQ @ ( suc @ A_1 ) @ ( suc @ B_5 ) ) ) |
% 1.46/1.02 ( ~( E @ ( s @ ( s @ ( s @ 0 ) ) ) @ ( f @ B_5 ) ) ) |
% 1.46/1.02 ( ~( E @ ( s @ ( s @ ( s @ 0 ) ) ) @ ( f @ A_1 ) ) ) |
% 1.46/1.02 ( ~( E @ ( s @ ( s @ ( s @ 0 ) ) ) @ ( f @ ( suc @ A_1 ) ) ) ) |
% 1.46/1.02 ( E @ ( f @ A_1 ) @ ( f @ ( suc @ A_1 ) ) ) |
% 1.46/1.02 ( E @ ( f @ B_5 ) @ ( f @ ( suc @ B_5 ) ) ))).
% 1.46/1.02 thf(zip_derived_cl59, plain,
% 1.46/1.02 (![X0 : $i, X1 : $i]:
% 1.46/1.02 (~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ X0)))
% 1.46/1.02 | ~ (iLEQ @ (suc @ X1) @ (suc @ X0))
% 1.46/1.02 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ X0))
% 1.46/1.02 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ X1))
% 1.46/1.02 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ X1)))
% 1.46/1.02 | (E @ (f @ X1) @ (f @ (suc @ X1)))
% 1.46/1.02 | (E @ (f @ X0) @ (f @ (suc @ X0))))),
% 1.46/1.02 inference('cnf', [status(esa)], [clause_143])).
% 1.46/1.02 thf(zip_derived_cl133, plain,
% 1.46/1.02 (![X0 : $i]:
% 1.46/1.02 ( (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.46/1.02 | (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.46/1.02 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ X0)))
% 1.46/1.02 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ X0))
% 1.46/1.02 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ X0))
% 1.46/1.02 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 1.46/1.02 inference('eq_fact', [status(thm)], [zip_derived_cl59])).
% 1.46/1.02 thf(zip_derived_cl134, plain,
% 1.46/1.02 (![X0 : $i]:
% 1.46/1.02 (~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 1.46/1.02 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ X0))
% 1.46/1.02 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ X0)))
% 1.46/1.02 | (E @ (f @ X0) @ (f @ (suc @ X0))))),
% 1.46/1.02 inference('simplify', [status(thm)], [zip_derived_cl133])).
% 1.46/1.02 thf(zip_derived_cl60, plain,
% 1.46/1.02 (![X0 : $i]:
% 1.46/1.02 (~ (E @ (s @ (s @ (s @ 0))) @ (f @ X0))
% 1.46/1.02 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ X0)))
% 1.46/1.02 | (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.46/1.02 | (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 1.46/1.02 inference('cnf', [status(esa)], [clause_173])).
% 1.46/1.02 thf(zip_derived_cl142, plain,
% 1.46/1.02 (![X0 : $i]:
% 1.46/1.02 ( (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.46/1.02 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ X0)))
% 1.46/1.02 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ X0)))),
% 1.46/1.02 inference('clc', [status(thm)], [zip_derived_cl134, zip_derived_cl60])).
% 1.46/1.02 thf(zip_derived_cl202, plain,
% 1.46/1.02 (![X0 : $i]:
% 1.46/1.02 (~ (E @ (s @ (s @ (s @ 0))) @ (f @ X0))
% 1.46/1.02 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ (suc @ X0))))
% 1.46/1.02 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ X0)))
% 1.46/1.02 | (E @ (f @ X0) @ (f @ (suc @ (suc @ X0)))))),
% 1.46/1.02 inference('clc', [status(thm)], [zip_derived_cl201, zip_derived_cl142])).
% 1.46/1.02 thf(zip_derived_cl248, plain,
% 1.46/1.02 (![X0 : $i]:
% 1.46/1.02 (~ (E @ (s @ (s @ (s @ 0))) @ (f @ X0))
% 1.46/1.02 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 1.46/1.02 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.46/1.02 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ (suc @ X0))))
% 1.46/1.02 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ X0))))),
% 1.46/1.02 inference('clc', [status(thm)], [zip_derived_cl247, zip_derived_cl202])).
% 1.46/1.02 thf(zip_derived_cl142, plain,
% 1.46/1.02 (![X0 : $i]:
% 1.46/1.02 ( (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.46/1.02 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ X0)))
% 1.46/1.02 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ X0)))),
% 1.46/1.02 inference('clc', [status(thm)], [zip_derived_cl134, zip_derived_cl60])).
% 1.46/1.02 thf(zip_derived_cl249, plain,
% 1.46/1.02 (![X0 : $i]:
% 1.46/1.02 (~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ X0)))
% 1.46/1.02 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ (suc @ X0))))
% 1.46/1.02 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 1.46/1.02 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ X0)))),
% 1.46/1.02 inference('clc', [status(thm)], [zip_derived_cl248, zip_derived_cl142])).
% 1.46/1.02 thf(zip_derived_cl252, plain,
% 1.46/1.02 (![X0 : $i]:
% 1.46/1.02 ( (LE @ (f @ X0) @ (s @ (s @ (s @ 0))))
% 1.46/1.02 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ X0))
% 1.46/1.02 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ (suc @ X0))))
% 1.46/1.02 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ X0))))),
% 1.46/1.02 inference('sup-', [status(thm)], [zip_derived_cl73, zip_derived_cl249])).
% 1.46/1.02 thf(clause_160, axiom,
% 1.46/1.02 (( ~( LE @ ( f @ B_4 ) @ ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) ) ) |
% 1.46/1.02 ( E @ ( s @ ( s @ ( s @ 0 ) ) ) @ ( f @ B_4 ) ) |
% 1.46/1.02 ( LE @ ( f @ B_4 ) @ ( s @ ( s @ ( s @ 0 ) ) ) ))).
% 1.46/1.02 thf(zip_derived_cl52, plain,
% 1.46/1.02 (![X0 : $i]:
% 1.46/1.02 (~ (LE @ (f @ X0) @ (s @ (s @ (s @ (s @ 0)))))
% 1.46/1.02 | (E @ (s @ (s @ (s @ 0))) @ (f @ X0))
% 1.46/1.02 | (LE @ (f @ X0) @ (s @ (s @ (s @ 0)))))),
% 1.46/1.02 inference('cnf', [status(esa)], [clause_160])).
% 1.46/1.02 thf(zip_derived_cl45, plain,
% 1.46/1.02 (![X0 : $i]: (LE @ (f @ X0) @ (s @ (s @ (s @ (s @ 0)))))),
% 1.46/1.02 inference('cnf', [status(esa)], [clause_330])).
% 1.46/1.02 thf(zip_derived_cl66, plain,
% 1.46/1.02 (![X0 : $i]:
% 1.46/1.02 ( (E @ (s @ (s @ (s @ 0))) @ (f @ X0))
% 1.46/1.02 | (LE @ (f @ X0) @ (s @ (s @ (s @ 0)))))),
% 1.46/1.02 inference('demod', [status(thm)], [zip_derived_cl52, zip_derived_cl45])).
% 1.46/1.02 thf(zip_derived_cl254, plain,
% 1.46/1.02 (![X0 : $i]:
% 1.46/1.02 (~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ X0)))
% 1.46/1.02 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ (suc @ X0))))
% 1.46/1.02 | (LE @ (f @ X0) @ (s @ (s @ (s @ 0)))))),
% 1.46/1.02 inference('clc', [status(thm)], [zip_derived_cl252, zip_derived_cl66])).
% 1.46/1.02 thf(clause_37, axiom,
% 1.46/1.02 (( ~( LE @ ( f @ ( suc @ B_4 ) ) @ ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) ) ) |
% 1.46/1.02 ( E @ ( s @ ( s @ ( s @ 0 ) ) ) @ ( f @ ( suc @ B_4 ) ) ) |
% 1.46/1.02 ( LE @ ( f @ B_4 ) @ ( s @ ( s @ ( s @ 0 ) ) ) ))).
% 1.46/1.02 thf(zip_derived_cl30, plain,
% 1.46/1.02 (![X0 : $i]:
% 1.46/1.02 (~ (LE @ (f @ (suc @ X0)) @ (s @ (s @ (s @ (s @ 0)))))
% 1.46/1.02 | (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ X0)))
% 1.46/1.02 | (LE @ (f @ X0) @ (s @ (s @ (s @ 0)))))),
% 1.46/1.02 inference('cnf', [status(esa)], [clause_37])).
% 1.46/1.02 thf(zip_derived_cl45, plain,
% 1.46/1.02 (![X0 : $i]: (LE @ (f @ X0) @ (s @ (s @ (s @ (s @ 0)))))),
% 1.46/1.02 inference('cnf', [status(esa)], [clause_330])).
% 1.46/1.02 thf(zip_derived_cl68, plain,
% 1.46/1.02 (![X0 : $i]:
% 1.46/1.02 ( (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ X0)))
% 1.46/1.02 | (LE @ (f @ X0) @ (s @ (s @ (s @ 0)))))),
% 1.46/1.02 inference('demod', [status(thm)], [zip_derived_cl30, zip_derived_cl45])).
% 1.46/1.02 thf(zip_derived_cl255, plain,
% 1.46/1.02 (![X0 : $i]:
% 1.46/1.02 ( (LE @ (f @ X0) @ (s @ (s @ (s @ 0))))
% 1.46/1.02 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ (suc @ X0)))))),
% 1.46/1.02 inference('clc', [status(thm)], [zip_derived_cl254, zip_derived_cl68])).
% 1.46/1.02 thf(clause_414, axiom,
% 1.46/1.02 (( ~( LE @
% 1.46/1.02 ( f @ ( suc @ ( suc @ B_4 ) ) ) @ ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) ) ) |
% 1.46/1.02 ( E @ ( s @ ( s @ ( s @ 0 ) ) ) @ ( f @ ( suc @ ( suc @ B_4 ) ) ) ) |
% 1.46/1.02 ( LE @ ( f @ B_4 ) @ ( s @ ( s @ ( s @ 0 ) ) ) ))).
% 1.46/1.02 thf(zip_derived_cl19, plain,
% 1.46/1.02 (![X0 : $i]:
% 1.46/1.02 (~ (LE @ (f @ (suc @ (suc @ X0))) @ (s @ (s @ (s @ (s @ 0)))))
% 1.46/1.02 | (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ (suc @ X0))))
% 1.46/1.02 | (LE @ (f @ X0) @ (s @ (s @ (s @ 0)))))),
% 1.46/1.02 inference('cnf', [status(esa)], [clause_414])).
% 1.46/1.02 thf(zip_derived_cl45, plain,
% 1.46/1.02 (![X0 : $i]: (LE @ (f @ X0) @ (s @ (s @ (s @ (s @ 0)))))),
% 1.46/1.02 inference('cnf', [status(esa)], [clause_330])).
% 1.46/1.02 thf(zip_derived_cl70, plain,
% 1.46/1.02 (![X0 : $i]:
% 1.46/1.02 ( (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ (suc @ X0))))
% 1.46/1.02 | (LE @ (f @ X0) @ (s @ (s @ (s @ 0)))))),
% 1.46/1.02 inference('demod', [status(thm)], [zip_derived_cl19, zip_derived_cl45])).
% 1.46/1.02 thf(zip_derived_cl256, plain,
% 1.46/1.02 (![X0 : $i]: (LE @ (f @ X0) @ (s @ (s @ (s @ 0))))),
% 1.46/1.02 inference('clc', [status(thm)], [zip_derived_cl255, zip_derived_cl70])).
% 1.46/1.02 thf(zip_derived_cl257, plain,
% 1.46/1.02 (![X0 : $i]:
% 1.46/1.02 ( (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 1.46/1.02 | (LE @ (f @ X0) @ (s @ (s @ 0))))),
% 1.46/1.02 inference('demod', [status(thm)], [zip_derived_cl3, zip_derived_cl256])).
% 1.46/1.02 thf(clause_139, axiom,
% 1.46/1.02 (( ~( E @ ( f @ A_2 ) @ ( f @ ( suc @ ( suc @ A_2 ) ) ) ) ) |
% 1.46/1.02 ( ~( E @ ( s @ ( s @ 0 ) ) @ ( f @ B_10 ) ) ) |
% 1.46/1.02 ( ~( E @ ( f @ B_10 ) @ ( f @ ( suc @ ( suc @ B_10 ) ) ) ) ) |
% 1.46/1.02 ( ~( E @ ( s @ ( s @ 0 ) ) @ ( f @ ( suc @ A_2 ) ) ) ) |
% 1.46/1.02 ( ~( E @ ( f @ B_10 ) @ ( f @ ( suc @ B_10 ) ) ) ) |
% 1.46/1.02 ( ~( iLEQ @ ( suc @ A_2 ) @ ( suc @ B_10 ) ) ) |
% 1.46/1.02 ( ~( E @ ( s @ ( s @ 0 ) ) @ ( f @ ( suc @ ( suc @ ( suc @ B_10 ) ) ) ) ) ) |
% 1.46/1.02 ( ~( E @ ( s @ ( s @ 0 ) ) @ ( f @ ( suc @ B_10 ) ) ) ) |
% 1.46/1.02 ( ~( E @ ( s @ ( s @ 0 ) ) @ ( f @ ( suc @ ( suc @ A_2 ) ) ) ) ) |
% 1.46/1.02 ( ~( E @ ( s @ ( s @ 0 ) ) @ ( f @ A_2 ) ) ) |
% 1.46/1.02 ( ~( E @ ( s @ ( s @ 0 ) ) @ ( f @ ( suc @ ( suc @ ( suc @ A_2 ) ) ) ) ) ) |
% 1.46/1.02 ( ~( E @ ( f @ A_2 ) @ ( f @ ( suc @ A_2 ) ) ) ) |
% 1.46/1.02 ( ~( E @ ( s @ ( s @ 0 ) ) @ ( f @ ( suc @ ( suc @ B_10 ) ) ) ) ))).
% 1.46/1.02 thf(zip_derived_cl58, plain,
% 1.46/1.02 (![X0 : $i, X1 : $i]:
% 1.46/1.02 (~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 1.46/1.02 | ~ (E @ (s @ (s @ 0)) @ (f @ X1))
% 1.46/1.02 | ~ (E @ (f @ X1) @ (f @ (suc @ (suc @ X1))))
% 1.46/1.02 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 1.46/1.02 | ~ (E @ (f @ X1) @ (f @ (suc @ X1)))
% 1.46/1.02 | ~ (iLEQ @ (suc @ X0) @ (suc @ X1))
% 1.46/1.02 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ (suc @ X1)))))
% 1.46/1.02 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X1)))
% 1.46/1.02 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ X0))))
% 1.46/1.02 | ~ (E @ (s @ (s @ 0)) @ (f @ X0))
% 1.46/1.02 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 1.46/1.02 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.46/1.02 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ X1)))))),
% 1.46/1.02 inference('cnf', [status(esa)], [clause_139])).
% 1.46/1.02 thf(zip_derived_cl271, plain,
% 1.46/1.02 (![X0 : $i]:
% 1.46/1.02 (~ (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ X0))))
% 1.46/1.02 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.46/1.02 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 1.46/1.02 | ~ (E @ (s @ (s @ 0)) @ (f @ X0))
% 1.46/1.02 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ X0))))
% 1.46/1.02 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 1.46/1.02 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 1.46/1.02 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.46/1.02 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 1.46/1.02 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 1.46/1.02 | ~ (E @ (s @ (s @ 0)) @ (f @ X0))
% 1.46/1.02 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0)))))),
% 1.46/1.02 inference('eq_fact', [status(thm)], [zip_derived_cl58])).
% 1.46/1.02 thf(zip_derived_cl272, plain,
% 1.46/1.02 (![X0 : $i]:
% 1.46/1.02 (~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 1.46/1.02 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 1.46/1.02 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 1.46/1.02 | ~ (E @ (s @ (s @ 0)) @ (f @ X0))
% 1.46/1.02 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 1.46/1.02 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.46/1.02 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ X0)))))),
% 1.46/1.02 inference('simplify', [status(thm)], [zip_derived_cl271])).
% 1.46/1.02 thf(clause_424, axiom,
% 1.46/1.02 (( ~( E @ ( s @ ( s @ 0 ) ) @ ( f @ B_10 ) ) ) |
% 1.46/1.02 ( ~( E @ ( s @ ( s @ 0 ) ) @ ( f @ ( suc @ A_2 ) ) ) ) |
% 1.46/1.02 ( ~( E @ ( f @ B_10 ) @ ( f @ ( suc @ B_10 ) ) ) ) |
% 1.46/1.02 ( ~( iLEQ @ ( suc @ A_2 ) @ ( suc @ B_10 ) ) ) |
% 1.46/1.02 ( ~( E @ ( s @ ( s @ 0 ) ) @ ( f @ ( suc @ B_10 ) ) ) ) |
% 1.46/1.02 ( ~( E @ ( s @ ( s @ 0 ) ) @ ( f @ ( suc @ ( suc @ A_2 ) ) ) ) ) |
% 1.46/1.02 ( ~( E @ ( s @ ( s @ 0 ) ) @ ( f @ A_2 ) ) ) |
% 1.46/1.02 ( ~( E @ ( f @ A_2 ) @ ( f @ ( suc @ A_2 ) ) ) ) |
% 1.46/1.02 ( ~( E @ ( s @ ( s @ 0 ) ) @ ( f @ ( suc @ ( suc @ B_10 ) ) ) ) ) |
% 1.46/1.02 ( E @ ( f @ A_2 ) @ ( f @ ( suc @ ( suc @ A_2 ) ) ) ) |
% 1.46/1.02 ( E @ ( f @ B_10 ) @ ( f @ ( suc @ ( suc @ B_10 ) ) ) ))).
% 1.46/1.02 thf(zip_derived_cl44, plain,
% 1.46/1.02 (![X0 : $i, X1 : $i]:
% 1.46/1.02 (~ (E @ (s @ (s @ 0)) @ (f @ X0))
% 1.46/1.02 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X1)))
% 1.46/1.02 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.46/1.02 | ~ (iLEQ @ (suc @ X1) @ (suc @ X0))
% 1.46/1.02 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 1.46/1.02 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ X1))))
% 1.46/1.02 | ~ (E @ (s @ (s @ 0)) @ (f @ X1))
% 1.46/1.02 | ~ (E @ (f @ X1) @ (f @ (suc @ X1)))
% 1.46/1.02 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ X0))))
% 1.46/1.02 | (E @ (f @ X1) @ (f @ (suc @ (suc @ X1))))
% 1.46/1.02 | (E @ (f @ X0) @ (f @ (suc @ (suc @ X0)))))),
% 1.46/1.02 inference('cnf', [status(esa)], [clause_424])).
% 1.46/1.02 thf(zip_derived_cl226, plain,
% 1.46/1.02 (![X0 : $i]:
% 1.46/1.02 ( (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 1.46/1.02 | (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 1.46/1.02 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ X0))))
% 1.46/1.02 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.46/1.02 | ~ (E @ (s @ (s @ 0)) @ (f @ X0))
% 1.46/1.02 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 1.46/1.02 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 1.46/1.02 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.46/1.02 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 1.46/1.02 | ~ (E @ (s @ (s @ 0)) @ (f @ X0)))),
% 1.46/1.02 inference('eq_fact', [status(thm)], [zip_derived_cl44])).
% 1.46/1.02 thf(zip_derived_cl227, plain,
% 1.46/1.02 (![X0 : $i]:
% 1.46/1.02 (~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 1.46/1.02 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 1.46/1.02 | ~ (E @ (s @ (s @ 0)) @ (f @ X0))
% 1.46/1.02 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.46/1.02 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ X0))))
% 1.46/1.02 | (E @ (f @ X0) @ (f @ (suc @ (suc @ X0)))))),
% 1.46/1.02 inference('simplify', [status(thm)], [zip_derived_cl226])).
% 1.46/1.02 thf(clause_202, axiom,
% 1.46/1.02 (( ~( E @ ( s @ ( s @ 0 ) ) @ ( f @ ( suc @ ( suc @ A_2 ) ) ) ) ) |
% 1.46/1.02 ( ~( E @ ( s @ ( s @ 0 ) ) @ ( f @ ( suc @ A_2 ) ) ) ) |
% 1.46/1.02 ( ~( E @ ( f @ A_2 ) @ ( f @ ( suc @ A_2 ) ) ) ) |
% 1.46/1.02 ( ~( E @ ( s @ ( s @ 0 ) ) @ ( f @ A_2 ) ) ) |
% 1.46/1.02 ( E @ ( f @ A_2 ) @ ( f @ ( suc @ ( suc @ A_2 ) ) ) ) |
% 1.46/1.02 ( iLEQ @ ( suc @ A_2 ) @ ( suc @ A_2 ) ))).
% 1.46/1.02 thf(zip_derived_cl64, plain,
% 1.46/1.02 (![X0 : $i]:
% 1.46/1.02 (~ (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ X0))))
% 1.46/1.02 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 1.46/1.02 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.46/1.02 | ~ (E @ (s @ (s @ 0)) @ (f @ X0))
% 1.46/1.02 | (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 1.46/1.02 | (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 1.46/1.02 inference('cnf', [status(esa)], [clause_202])).
% 1.46/1.02 thf(clause_246, axiom,
% 1.46/1.02 (( ~( E @ ( s @ ( s @ 0 ) ) @ ( f @ A_2 ) ) ) |
% 1.46/1.02 ( ~( E @ ( s @ ( s @ 0 ) ) @ ( f @ ( suc @ A_2 ) ) ) ) |
% 1.46/1.02 ( E @ ( f @ A_2 ) @ ( f @ ( suc @ A_2 ) ) ) |
% 1.46/1.02 ( iLEQ @ ( suc @ A_2 ) @ ( suc @ A_2 ) ))).
% 1.46/1.02 thf(zip_derived_cl46, plain,
% 1.46/1.02 (![X0 : $i]:
% 1.46/1.02 (~ (E @ (s @ (s @ 0)) @ (f @ X0))
% 1.46/1.02 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 1.46/1.02 | (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.46/1.02 | (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 1.46/1.02 inference('cnf', [status(esa)], [clause_246])).
% 1.46/1.02 thf(zip_derived_cl96, plain,
% 1.46/1.02 (![X0 : $i]:
% 1.46/1.02 ( (iLEQ @ (suc @ X0) @ (suc @ X0))
% 1.46/1.02 | (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 1.46/1.02 | ~ (E @ (s @ (s @ 0)) @ (f @ X0))
% 1.46/1.02 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 1.46/1.02 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ X0)))))),
% 1.46/1.02 inference('clc', [status(thm)], [zip_derived_cl64, zip_derived_cl46])).
% 1.46/1.02 thf(zip_derived_cl244, plain,
% 1.46/1.02 (![X0 : $i]:
% 1.46/1.02 ( (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 1.46/1.02 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ X0))))
% 1.46/1.02 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.46/1.02 | ~ (E @ (s @ (s @ 0)) @ (f @ X0))
% 1.46/1.02 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0))))),
% 1.46/1.02 inference('clc', [status(thm)], [zip_derived_cl227, zip_derived_cl96])).
% 1.46/1.02 thf(clause_103, axiom,
% 1.46/1.02 (( ~( E @ ( s @ ( s @ 0 ) ) @ ( f @ B_10 ) ) ) |
% 1.46/1.02 ( ~( E @ ( s @ ( s @ 0 ) ) @ ( f @ ( suc @ A_2 ) ) ) ) |
% 1.46/1.02 ( ~( iLEQ @ ( suc @ A_2 ) @ ( suc @ B_10 ) ) ) |
% 1.46/1.02 ( ~( E @ ( s @ ( s @ 0 ) ) @ ( f @ ( suc @ B_10 ) ) ) ) |
% 1.46/1.02 ( ~( E @ ( s @ ( s @ 0 ) ) @ ( f @ A_2 ) ) ) |
% 1.46/1.02 ( E @ ( f @ A_2 ) @ ( f @ ( suc @ A_2 ) ) ) |
% 1.46/1.02 ( E @ ( f @ B_10 ) @ ( f @ ( suc @ B_10 ) ) ))).
% 1.46/1.02 thf(zip_derived_cl26, plain,
% 1.46/1.02 (![X0 : $i, X1 : $i]:
% 1.46/1.02 (~ (E @ (s @ (s @ 0)) @ (f @ X0))
% 1.46/1.02 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X1)))
% 1.46/1.02 | ~ (iLEQ @ (suc @ X1) @ (suc @ X0))
% 1.46/1.02 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 1.46/1.02 | ~ (E @ (s @ (s @ 0)) @ (f @ X1))
% 1.46/1.02 | (E @ (f @ X1) @ (f @ (suc @ X1)))
% 1.46/1.02 | (E @ (f @ X0) @ (f @ (suc @ X0))))),
% 1.46/1.02 inference('cnf', [status(esa)], [clause_103])).
% 1.46/1.02 thf(zip_derived_cl125, plain,
% 1.46/1.02 (![X0 : $i]:
% 1.46/1.02 ( (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.46/1.02 | (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.46/1.02 | ~ (E @ (s @ (s @ 0)) @ (f @ X0))
% 1.46/1.02 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 1.46/1.02 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 1.46/1.02 | ~ (E @ (s @ (s @ 0)) @ (f @ X0)))),
% 1.46/1.02 inference('eq_fact', [status(thm)], [zip_derived_cl26])).
% 1.46/1.02 thf(zip_derived_cl126, plain,
% 1.46/1.02 (![X0 : $i]:
% 1.46/1.02 (~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 1.46/1.02 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 1.46/1.02 | ~ (E @ (s @ (s @ 0)) @ (f @ X0))
% 1.46/1.02 | (E @ (f @ X0) @ (f @ (suc @ X0))))),
% 1.46/1.02 inference('simplify', [status(thm)], [zip_derived_cl125])).
% 1.46/1.02 thf(zip_derived_cl46, plain,
% 1.46/1.02 (![X0 : $i]:
% 1.46/1.02 (~ (E @ (s @ (s @ 0)) @ (f @ X0))
% 1.46/1.02 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 1.46/1.02 | (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.46/1.02 | (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 1.46/1.02 inference('cnf', [status(esa)], [clause_246])).
% 1.46/1.02 thf(zip_derived_cl141, plain,
% 1.46/1.02 (![X0 : $i]:
% 1.46/1.02 ( (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.46/1.02 | ~ (E @ (s @ (s @ 0)) @ (f @ X0))
% 1.46/1.02 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0))))),
% 1.46/1.02 inference('clc', [status(thm)], [zip_derived_cl126, zip_derived_cl46])).
% 1.46/1.02 thf(zip_derived_cl245, plain,
% 1.46/1.02 (![X0 : $i]:
% 1.46/1.02 (~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 1.46/1.02 | ~ (E @ (s @ (s @ 0)) @ (f @ X0))
% 1.46/1.02 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ X0))))
% 1.46/1.02 | (E @ (f @ X0) @ (f @ (suc @ (suc @ X0)))))),
% 1.46/1.02 inference('clc', [status(thm)], [zip_derived_cl244, zip_derived_cl141])).
% 1.46/1.02 thf(zip_derived_cl335, plain,
% 1.46/1.02 (![X0 : $i]:
% 1.46/1.02 (~ (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ X0))))
% 1.46/1.02 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.46/1.02 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 1.46/1.02 | ~ (E @ (s @ (s @ 0)) @ (f @ X0))
% 1.46/1.02 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 1.46/1.02 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 1.46/1.02 inference('clc', [status(thm)], [zip_derived_cl272, zip_derived_cl245])).
% 1.46/1.02 thf(zip_derived_cl141, plain,
% 1.46/1.02 (![X0 : $i]:
% 1.46/1.02 ( (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.46/1.02 | ~ (E @ (s @ (s @ 0)) @ (f @ X0))
% 1.46/1.02 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0))))),
% 1.46/1.02 inference('clc', [status(thm)], [zip_derived_cl126, zip_derived_cl46])).
% 1.46/1.02 thf(zip_derived_cl336, plain,
% 1.46/1.02 (![X0 : $i]:
% 1.46/1.02 (~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 1.46/1.02 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 1.46/1.02 | ~ (E @ (s @ (s @ 0)) @ (f @ X0))
% 1.46/1.02 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 1.46/1.02 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ X0)))))),
% 1.46/1.02 inference('clc', [status(thm)], [zip_derived_cl335, zip_derived_cl141])).
% 1.46/1.02 thf(clause_338, axiom,
% 1.46/1.02 (( ~( E @ ( f @ A_2 ) @ ( f @ ( suc @ ( suc @ A_2 ) ) ) ) ) |
% 1.46/1.02 ( ~( E @ ( s @ ( s @ 0 ) ) @ ( f @ ( suc @ A_2 ) ) ) ) |
% 1.46/1.02 ( ~( E @ ( s @ ( s @ 0 ) ) @ ( f @ ( suc @ ( suc @ A_2 ) ) ) ) ) |
% 1.46/1.02 ( ~( E @ ( s @ ( s @ 0 ) ) @ ( f @ A_2 ) ) ) |
% 1.46/1.02 ( ~( E @ ( s @ ( s @ 0 ) ) @ ( f @ ( suc @ ( suc @ ( suc @ A_2 ) ) ) ) ) ) |
% 1.46/1.02 ( ~( E @ ( f @ A_2 ) @ ( f @ ( suc @ A_2 ) ) ) ) |
% 1.46/1.02 ( iLEQ @ ( suc @ A_2 ) @ ( suc @ A_2 ) ))).
% 1.46/1.02 thf(zip_derived_cl29, plain,
% 1.46/1.02 (![X0 : $i]:
% 1.46/1.02 (~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 1.46/1.02 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 1.46/1.02 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ X0))))
% 1.46/1.02 | ~ (E @ (s @ (s @ 0)) @ (f @ X0))
% 1.46/1.02 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 1.46/1.02 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.46/1.02 | (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 1.46/1.02 inference('cnf', [status(esa)], [clause_338])).
% 1.46/1.02 thf(zip_derived_cl96, plain,
% 1.46/1.02 (![X0 : $i]:
% 1.46/1.02 ( (iLEQ @ (suc @ X0) @ (suc @ X0))
% 1.46/1.02 | (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 1.46/1.02 | ~ (E @ (s @ (s @ 0)) @ (f @ X0))
% 1.46/1.02 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 1.46/1.02 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ X0)))))),
% 1.46/1.02 inference('clc', [status(thm)], [zip_derived_cl64, zip_derived_cl46])).
% 1.46/1.02 thf(zip_derived_cl127, plain,
% 1.46/1.02 (![X0 : $i]:
% 1.46/1.02 ( (iLEQ @ (suc @ X0) @ (suc @ X0))
% 1.46/1.02 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.46/1.02 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 1.46/1.02 | ~ (E @ (s @ (s @ 0)) @ (f @ X0))
% 1.46/1.02 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ X0))))
% 1.46/1.02 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0))))),
% 1.46/1.02 inference('clc', [status(thm)], [zip_derived_cl29, zip_derived_cl96])).
% 1.46/1.02 thf(zip_derived_cl46, plain,
% 1.46/1.02 (![X0 : $i]:
% 1.46/1.02 (~ (E @ (s @ (s @ 0)) @ (f @ X0))
% 1.46/1.02 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 1.46/1.02 | (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.46/1.02 | (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 1.46/1.02 inference('cnf', [status(esa)], [clause_246])).
% 1.46/1.02 thf(zip_derived_cl128, plain,
% 1.46/1.02 (![X0 : $i]:
% 1.46/1.02 (~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 1.46/1.02 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ X0))))
% 1.46/1.02 | ~ (E @ (s @ (s @ 0)) @ (f @ X0))
% 1.46/1.02 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 1.46/1.02 | (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 1.46/1.02 inference('clc', [status(thm)], [zip_derived_cl127, zip_derived_cl46])).
% 1.46/1.02 thf(zip_derived_cl337, plain,
% 1.46/1.02 (![X0 : $i]:
% 1.46/1.02 (~ (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ X0))))
% 1.46/1.02 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 1.46/1.02 | ~ (E @ (s @ (s @ 0)) @ (f @ X0))
% 1.46/1.02 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0))))),
% 1.46/1.02 inference('clc', [status(thm)], [zip_derived_cl336, zip_derived_cl128])).
% 1.46/1.02 thf(zip_derived_cl339, plain,
% 1.46/1.02 (![X0 : $i]:
% 1.46/1.02 ( (LE @ (f @ X0) @ (s @ (s @ 0)))
% 1.46/1.02 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 1.46/1.02 | ~ (E @ (s @ (s @ 0)) @ (f @ X0))
% 1.46/1.02 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ X0)))))),
% 1.46/1.02 inference('sup-', [status(thm)], [zip_derived_cl257, zip_derived_cl337])).
% 1.46/1.02 thf(clause_252, axiom,
% 1.46/1.02 (( ~( LE @ ( f @ ( suc @ B_9 ) ) @ ( s @ ( s @ ( s @ 0 ) ) ) ) ) |
% 1.46/1.02 ( E @ ( s @ ( s @ 0 ) ) @ ( f @ ( suc @ B_9 ) ) ) |
% 1.46/1.02 ( LE @ ( f @ B_9 ) @ ( s @ ( s @ 0 ) ) ))).
% 1.46/1.02 thf(zip_derived_cl22, plain,
% 1.46/1.02 (![X0 : $i]:
% 1.46/1.02 (~ (LE @ (f @ (suc @ X0)) @ (s @ (s @ (s @ 0))))
% 1.46/1.02 | (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 1.46/1.02 | (LE @ (f @ X0) @ (s @ (s @ 0))))),
% 1.46/1.02 inference('cnf', [status(esa)], [clause_252])).
% 1.46/1.02 thf(zip_derived_cl256, plain,
% 1.46/1.02 (![X0 : $i]: (LE @ (f @ X0) @ (s @ (s @ (s @ 0))))),
% 1.46/1.02 inference('clc', [status(thm)], [zip_derived_cl255, zip_derived_cl70])).
% 1.46/1.02 thf(zip_derived_cl259, plain,
% 1.46/1.02 (![X0 : $i]:
% 1.46/1.02 ( (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 1.46/1.02 | (LE @ (f @ X0) @ (s @ (s @ 0))))),
% 1.46/1.02 inference('demod', [status(thm)], [zip_derived_cl22, zip_derived_cl256])).
% 1.46/1.02 thf(zip_derived_cl342, plain,
% 1.46/1.02 (![X0 : $i]:
% 1.46/1.02 (~ (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ X0))))
% 1.46/1.02 | ~ (E @ (s @ (s @ 0)) @ (f @ X0))
% 1.46/1.02 | (LE @ (f @ X0) @ (s @ (s @ 0))))),
% 1.46/1.02 inference('clc', [status(thm)], [zip_derived_cl339, zip_derived_cl259])).
% 1.46/1.02 thf(clause_46, axiom,
% 1.46/1.02 (( ~( LE @ ( f @ ( suc @ ( suc @ B_9 ) ) ) @ ( s @ ( s @ ( s @ 0 ) ) ) ) ) |
% 1.46/1.02 ( E @ ( s @ ( s @ 0 ) ) @ ( f @ ( suc @ ( suc @ B_9 ) ) ) ) |
% 1.46/1.02 ( LE @ ( f @ B_9 ) @ ( s @ ( s @ 0 ) ) ))).
% 1.46/1.02 thf(zip_derived_cl36, plain,
% 1.46/1.02 (![X0 : $i]:
% 1.46/1.02 (~ (LE @ (f @ (suc @ (suc @ X0))) @ (s @ (s @ (s @ 0))))
% 1.46/1.02 | (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ X0))))
% 1.46/1.02 | (LE @ (f @ X0) @ (s @ (s @ 0))))),
% 1.46/1.02 inference('cnf', [status(esa)], [clause_46])).
% 1.46/1.02 thf(zip_derived_cl256, plain,
% 1.46/1.02 (![X0 : $i]: (LE @ (f @ X0) @ (s @ (s @ (s @ 0))))),
% 1.46/1.02 inference('clc', [status(thm)], [zip_derived_cl255, zip_derived_cl70])).
% 1.46/1.02 thf(zip_derived_cl260, plain,
% 1.46/1.02 (![X0 : $i]:
% 1.46/1.02 ( (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ X0))))
% 1.46/1.02 | (LE @ (f @ X0) @ (s @ (s @ 0))))),
% 1.46/1.02 inference('demod', [status(thm)], [zip_derived_cl36, zip_derived_cl256])).
% 1.46/1.02 thf(zip_derived_cl343, plain,
% 1.46/1.02 (![X0 : $i]:
% 1.46/1.02 ( (LE @ (f @ X0) @ (s @ (s @ 0))) | ~ (E @ (s @ (s @ 0)) @ (f @ X0)))),
% 1.46/1.02 inference('clc', [status(thm)], [zip_derived_cl342, zip_derived_cl260])).
% 1.46/1.02 thf(clause_219, axiom,
% 1.46/1.02 (( ~( LE @ ( f @ B_9 ) @ ( s @ ( s @ ( s @ 0 ) ) ) ) ) |
% 1.46/1.02 ( E @ ( s @ ( s @ 0 ) ) @ ( f @ B_9 ) ) |
% 1.46/1.02 ( LE @ ( f @ B_9 ) @ ( s @ ( s @ 0 ) ) ))).
% 1.46/1.02 thf(zip_derived_cl4, plain,
% 1.46/1.02 (![X0 : $i]:
% 1.46/1.02 (~ (LE @ (f @ X0) @ (s @ (s @ (s @ 0))))
% 1.46/1.02 | (E @ (s @ (s @ 0)) @ (f @ X0))
% 1.46/1.02 | (LE @ (f @ X0) @ (s @ (s @ 0))))),
% 1.46/1.02 inference('cnf', [status(esa)], [clause_219])).
% 1.46/1.02 thf(zip_derived_cl256, plain,
% 1.46/1.02 (![X0 : $i]: (LE @ (f @ X0) @ (s @ (s @ (s @ 0))))),
% 1.46/1.02 inference('clc', [status(thm)], [zip_derived_cl255, zip_derived_cl70])).
% 1.46/1.02 thf(zip_derived_cl258, plain,
% 1.46/1.02 (![X0 : $i]:
% 1.46/1.02 ( (E @ (s @ (s @ 0)) @ (f @ X0)) | (LE @ (f @ X0) @ (s @ (s @ 0))))),
% 1.46/1.02 inference('demod', [status(thm)], [zip_derived_cl4, zip_derived_cl256])).
% 1.46/1.02 thf(zip_derived_cl344, plain, (![X0 : $i]: (LE @ (f @ X0) @ (s @ (s @ 0)))),
% 1.46/1.02 inference('clc', [status(thm)], [zip_derived_cl343, zip_derived_cl258])).
% 1.46/1.02 thf(zip_derived_cl346, plain,
% 1.46/1.02 (![X0 : $i]:
% 1.46/1.02 ( (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 1.46/1.02 | (LE @ (f @ X0) @ (s @ 0)))),
% 1.46/1.02 inference('demod', [status(thm)], [zip_derived_cl24, zip_derived_cl344])).
% 1.46/1.02 thf(clause_244, axiom,
% 1.46/1.02 (( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ B_14 ) ) ) ) |
% 1.46/1.02 ( ~( E @ ( f @ A_3 ) @ ( f @ ( suc @ ( suc @ A_3 ) ) ) ) ) |
% 1.46/1.02 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ ( suc @ B_14 ) ) ) ) ) |
% 1.46/1.02 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ ( suc @ ( suc @ A_3 ) ) ) ) ) ) |
% 1.46/1.02 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ A_3 ) ) ) ) |
% 1.46/1.02 ( ~( E @ ( s @ 0 ) @ ( f @ B_14 ) ) ) |
% 1.46/1.02 ( ~( E @ ( f @ B_14 ) @ ( f @ ( suc @ B_14 ) ) ) ) |
% 1.46/1.02 ( ~( E @ ( f @ A_3 ) @ ( f @ ( suc @ A_3 ) ) ) ) |
% 1.46/1.02 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ ( suc @ ( suc @ B_14 ) ) ) ) ) ) |
% 1.46/1.02 ( ~( E @ ( s @ 0 ) @ ( f @ A_3 ) ) ) |
% 1.46/1.02 ( ~( E @ ( f @ B_14 ) @ ( f @ ( suc @ ( suc @ B_14 ) ) ) ) ) |
% 1.46/1.02 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ ( suc @ A_3 ) ) ) ) ) |
% 1.46/1.02 ( ~( iLEQ @ ( suc @ A_3 ) @ ( suc @ B_14 ) ) ))).
% 1.46/1.02 thf(zip_derived_cl40, plain,
% 1.46/1.02 (![X0 : $i, X1 : $i]:
% 1.46/1.02 (~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 1.46/1.02 | ~ (E @ (f @ X1) @ (f @ (suc @ (suc @ X1))))
% 1.46/1.02 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 1.46/1.02 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ X1)))))
% 1.46/1.02 | ~ (E @ (s @ 0) @ (f @ (suc @ X1)))
% 1.46/1.02 | ~ (E @ (s @ 0) @ (f @ X0))
% 1.46/1.02 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.46/1.02 | ~ (E @ (f @ X1) @ (f @ (suc @ X1)))
% 1.46/1.02 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 1.46/1.02 | ~ (E @ (s @ 0) @ (f @ X1))
% 1.46/1.02 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 1.46/1.02 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X1))))
% 1.46/1.02 | ~ (iLEQ @ (suc @ X1) @ (suc @ X0)))),
% 1.46/1.02 inference('cnf', [status(esa)], [clause_244])).
% 1.46/1.02 thf(zip_derived_cl267, plain,
% 1.46/1.02 (![X0 : $i]:
% 1.46/1.02 (~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 1.46/1.02 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 1.46/1.02 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 1.46/1.02 | ~ (E @ (s @ 0) @ (f @ X0))
% 1.46/1.02 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 1.46/1.02 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.46/1.02 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.46/1.02 | ~ (E @ (s @ 0) @ (f @ X0))
% 1.46/1.02 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 1.46/1.02 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 1.46/1.02 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 1.46/1.02 | ~ (E @ (s @ 0) @ (f @ (suc @ X0))))),
% 1.46/1.02 inference('eq_fact', [status(thm)], [zip_derived_cl40])).
% 1.46/1.02 thf(zip_derived_cl268, plain,
% 1.46/1.02 (![X0 : $i]:
% 1.46/1.02 (~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 1.46/1.02 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.46/1.02 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 1.46/1.02 | ~ (E @ (s @ 0) @ (f @ X0))
% 1.46/1.02 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 1.46/1.02 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 1.46/1.02 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 1.46/1.02 inference('simplify', [status(thm)], [zip_derived_cl267])).
% 1.46/1.02 thf(clause_328, axiom,
% 1.46/1.02 (( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ B_14 ) ) ) ) |
% 1.46/1.02 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ A_3 ) ) ) ) |
% 1.46/1.02 ( ~( E @ ( s @ 0 ) @ ( f @ B_14 ) ) ) |
% 1.46/1.02 ( ~( E @ ( s @ 0 ) @ ( f @ A_3 ) ) ) |
% 1.46/1.02 ( ~( iLEQ @ ( suc @ A_3 ) @ ( suc @ B_14 ) ) ) |
% 1.46/1.02 ( E @ ( f @ A_3 ) @ ( f @ ( suc @ A_3 ) ) ) |
% 1.46/1.02 ( E @ ( f @ B_14 ) @ ( f @ ( suc @ B_14 ) ) ))).
% 1.46/1.02 thf(zip_derived_cl23, plain,
% 1.46/1.02 (![X0 : $i, X1 : $i]:
% 1.46/1.02 (~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 1.46/1.02 | ~ (E @ (s @ 0) @ (f @ (suc @ X1)))
% 1.46/1.02 | ~ (E @ (s @ 0) @ (f @ X0))
% 1.46/1.02 | ~ (E @ (s @ 0) @ (f @ X1))
% 1.46/1.02 | ~ (iLEQ @ (suc @ X1) @ (suc @ X0))
% 1.46/1.02 | (E @ (f @ X1) @ (f @ (suc @ X1)))
% 1.46/1.02 | (E @ (f @ X0) @ (f @ (suc @ X0))))),
% 1.46/1.02 inference('cnf', [status(esa)], [clause_328])).
% 1.46/1.02 thf(zip_derived_cl94, plain,
% 1.46/1.02 (![X0 : $i]:
% 1.46/1.02 ( (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.46/1.02 | (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.46/1.02 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 1.46/1.02 | ~ (E @ (s @ 0) @ (f @ X0))
% 1.46/1.02 | ~ (E @ (s @ 0) @ (f @ X0))
% 1.46/1.02 | ~ (E @ (s @ 0) @ (f @ (suc @ X0))))),
% 1.46/1.02 inference('eq_fact', [status(thm)], [zip_derived_cl23])).
% 1.46/1.02 thf(zip_derived_cl95, plain,
% 1.46/1.02 (![X0 : $i]:
% 1.46/1.02 (~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 1.46/1.02 | ~ (E @ (s @ 0) @ (f @ X0))
% 1.46/1.02 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 1.46/1.02 | (E @ (f @ X0) @ (f @ (suc @ X0))))),
% 1.46/1.02 inference('simplify', [status(thm)], [zip_derived_cl94])).
% 1.46/1.02 thf(clause_334, axiom,
% 1.46/1.02 (( ~( E @ ( s @ 0 ) @ ( f @ A_3 ) ) ) |
% 1.46/1.02 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ A_3 ) ) ) ) |
% 1.46/1.02 ( E @ ( f @ A_3 ) @ ( f @ ( suc @ A_3 ) ) ) |
% 1.46/1.02 ( iLEQ @ ( suc @ A_3 ) @ ( suc @ A_3 ) ))).
% 1.46/1.02 thf(zip_derived_cl42, plain,
% 1.46/1.02 (![X0 : $i]:
% 1.46/1.02 (~ (E @ (s @ 0) @ (f @ X0))
% 1.46/1.02 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 1.46/1.02 | (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.46/1.02 | (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 1.46/1.02 inference('cnf', [status(esa)], [clause_334])).
% 1.46/1.02 thf(zip_derived_cl104, plain,
% 1.46/1.02 (![X0 : $i]:
% 1.46/1.02 ( (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.46/1.02 | ~ (E @ (s @ 0) @ (f @ X0))
% 1.46/1.02 | ~ (E @ (s @ 0) @ (f @ (suc @ X0))))),
% 1.46/1.02 inference('clc', [status(thm)], [zip_derived_cl95, zip_derived_cl42])).
% 1.46/1.02 thf(zip_derived_cl324, plain,
% 1.46/1.02 (![X0 : $i]:
% 1.46/1.02 (~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 1.46/1.02 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 1.46/1.02 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 1.46/1.02 | ~ (E @ (s @ 0) @ (f @ X0))
% 1.46/1.02 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 1.46/1.02 | ~ (E @ (s @ 0) @ (f @ (suc @ X0))))),
% 1.46/1.02 inference('clc', [status(thm)], [zip_derived_cl268, zip_derived_cl104])).
% 1.46/1.02 thf(clause_281, axiom,
% 1.46/1.02 (( ~( E @ ( f @ A_3 ) @ ( f @ ( suc @ ( suc @ A_3 ) ) ) ) ) |
% 1.46/1.02 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ ( suc @ ( suc @ A_3 ) ) ) ) ) ) |
% 1.46/1.02 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ A_3 ) ) ) ) |
% 1.46/1.02 ( ~( E @ ( f @ A_3 ) @ ( f @ ( suc @ A_3 ) ) ) ) |
% 1.46/1.02 ( ~( E @ ( s @ 0 ) @ ( f @ A_3 ) ) ) |
% 1.46/1.02 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ ( suc @ A_3 ) ) ) ) ) |
% 1.46/1.02 ( iLEQ @ ( suc @ A_3 ) @ ( suc @ A_3 ) ))).
% 1.46/1.02 thf(zip_derived_cl25, plain,
% 1.46/1.02 (![X0 : $i]:
% 1.46/1.02 (~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 1.46/1.02 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 1.46/1.02 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 1.46/1.02 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.46/1.02 | ~ (E @ (s @ 0) @ (f @ X0))
% 1.46/1.02 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 1.46/1.02 | (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 1.46/1.02 inference('cnf', [status(esa)], [clause_281])).
% 1.46/1.02 thf(clause_161, axiom,
% 1.46/1.02 (( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ ( suc @ A_3 ) ) ) ) ) |
% 1.46/1.02 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ A_3 ) ) ) ) |
% 1.46/1.02 ( ~( E @ ( f @ A_3 ) @ ( f @ ( suc @ A_3 ) ) ) ) |
% 1.46/1.02 ( ~( E @ ( s @ 0 ) @ ( f @ A_3 ) ) ) |
% 1.46/1.02 ( E @ ( f @ A_3 ) @ ( f @ ( suc @ ( suc @ A_3 ) ) ) ) |
% 1.46/1.02 ( iLEQ @ ( suc @ A_3 ) @ ( suc @ A_3 ) ))).
% 1.46/1.02 thf(zip_derived_cl32, plain,
% 1.46/1.02 (![X0 : $i]:
% 1.46/1.02 (~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 1.46/1.02 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 1.46/1.02 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.46/1.02 | ~ (E @ (s @ 0) @ (f @ X0))
% 1.46/1.02 | (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 1.46/1.02 | (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 1.46/1.02 inference('cnf', [status(esa)], [clause_161])).
% 1.46/1.02 thf(zip_derived_cl42, plain,
% 1.46/1.02 (![X0 : $i]:
% 1.46/1.02 (~ (E @ (s @ 0) @ (f @ X0))
% 1.46/1.02 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 1.46/1.02 | (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.46/1.02 | (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 1.46/1.02 inference('cnf', [status(esa)], [clause_334])).
% 1.46/1.02 thf(zip_derived_cl91, plain,
% 1.46/1.02 (![X0 : $i]:
% 1.46/1.02 ( (iLEQ @ (suc @ X0) @ (suc @ X0))
% 1.46/1.02 | (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 1.46/1.02 | ~ (E @ (s @ 0) @ (f @ X0))
% 1.46/1.02 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 1.46/1.02 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0)))))),
% 1.46/1.02 inference('clc', [status(thm)], [zip_derived_cl32, zip_derived_cl42])).
% 1.46/1.02 thf(zip_derived_cl97, plain,
% 1.46/1.02 (![X0 : $i]:
% 1.46/1.02 ( (iLEQ @ (suc @ X0) @ (suc @ X0))
% 1.46/1.02 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 1.46/1.02 | ~ (E @ (s @ 0) @ (f @ X0))
% 1.46/1.02 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.46/1.02 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 1.46/1.02 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ X0))))))),
% 1.46/1.02 inference('clc', [status(thm)], [zip_derived_cl25, zip_derived_cl91])).
% 1.46/1.02 thf(zip_derived_cl42, plain,
% 1.46/1.02 (![X0 : $i]:
% 1.46/1.02 (~ (E @ (s @ 0) @ (f @ X0))
% 1.46/1.02 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 1.46/1.02 | (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.46/1.02 | (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 1.46/1.02 inference('cnf', [status(esa)], [clause_334])).
% 1.46/1.02 thf(zip_derived_cl98, plain,
% 1.46/1.02 (![X0 : $i]:
% 1.46/1.02 (~ (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 1.46/1.02 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 1.46/1.02 | ~ (E @ (s @ 0) @ (f @ X0))
% 1.46/1.02 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 1.46/1.02 | (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 1.46/1.02 inference('clc', [status(thm)], [zip_derived_cl97, zip_derived_cl42])).
% 1.46/1.02 thf(zip_derived_cl325, plain,
% 1.46/1.02 (![X0 : $i]:
% 1.46/1.02 (~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 1.46/1.02 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 1.46/1.02 | ~ (E @ (s @ 0) @ (f @ X0))
% 1.46/1.02 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 1.46/1.02 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0)))))),
% 1.46/1.02 inference('clc', [status(thm)], [zip_derived_cl324, zip_derived_cl98])).
% 1.46/1.02 thf(clause_45, axiom,
% 1.46/1.02 (( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ B_14 ) ) ) ) |
% 1.46/1.02 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ ( suc @ B_14 ) ) ) ) ) |
% 1.46/1.02 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ A_3 ) ) ) ) |
% 1.46/1.02 ( ~( E @ ( s @ 0 ) @ ( f @ B_14 ) ) ) |
% 1.46/1.02 ( ~( E @ ( f @ B_14 ) @ ( f @ ( suc @ B_14 ) ) ) ) |
% 1.46/1.02 ( ~( E @ ( f @ A_3 ) @ ( f @ ( suc @ A_3 ) ) ) ) |
% 1.46/1.02 ( ~( E @ ( s @ 0 ) @ ( f @ A_3 ) ) ) |
% 1.46/1.02 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ ( suc @ A_3 ) ) ) ) ) |
% 1.46/1.02 ( ~( iLEQ @ ( suc @ A_3 ) @ ( suc @ B_14 ) ) ) |
% 1.46/1.02 ( E @ ( f @ A_3 ) @ ( f @ ( suc @ ( suc @ A_3 ) ) ) ) |
% 1.46/1.02 ( E @ ( f @ B_14 ) @ ( f @ ( suc @ ( suc @ B_14 ) ) ) ))).
% 1.46/1.02 thf(zip_derived_cl16, plain,
% 1.46/1.02 (![X0 : $i, X1 : $i]:
% 1.46/1.02 (~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 1.46/1.02 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 1.46/1.02 | ~ (E @ (s @ 0) @ (f @ (suc @ X1)))
% 1.46/1.02 | ~ (E @ (s @ 0) @ (f @ X0))
% 1.46/1.02 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.46/1.02 | ~ (E @ (f @ X1) @ (f @ (suc @ X1)))
% 1.46/1.02 | ~ (E @ (s @ 0) @ (f @ X1))
% 1.46/1.02 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X1))))
% 1.46/1.02 | ~ (iLEQ @ (suc @ X1) @ (suc @ X0))
% 1.46/1.02 | (E @ (f @ X1) @ (f @ (suc @ (suc @ X1))))
% 1.46/1.02 | (E @ (f @ X0) @ (f @ (suc @ (suc @ X0)))))),
% 1.46/1.02 inference('cnf', [status(esa)], [clause_45])).
% 1.46/1.02 thf(zip_derived_cl222, plain,
% 1.46/1.02 (![X0 : $i]:
% 1.46/1.02 ( (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 1.46/1.02 | (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 1.46/1.02 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 1.46/1.02 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 1.46/1.02 | ~ (E @ (s @ 0) @ (f @ X0))
% 1.46/1.02 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.46/1.02 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.46/1.02 | ~ (E @ (s @ 0) @ (f @ X0))
% 1.46/1.02 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 1.46/1.02 | ~ (E @ (s @ 0) @ (f @ (suc @ X0))))),
% 1.46/1.02 inference('eq_fact', [status(thm)], [zip_derived_cl16])).
% 1.46/1.02 thf(zip_derived_cl223, plain,
% 1.46/1.02 (![X0 : $i]:
% 1.46/1.02 (~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 1.46/1.02 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.46/1.02 | ~ (E @ (s @ 0) @ (f @ X0))
% 1.46/1.02 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 1.46/1.02 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 1.46/1.02 | (E @ (f @ X0) @ (f @ (suc @ (suc @ X0)))))),
% 1.46/1.02 inference('simplify', [status(thm)], [zip_derived_cl222])).
% 1.46/1.02 thf(zip_derived_cl104, plain,
% 1.46/1.02 (![X0 : $i]:
% 1.46/1.02 ( (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.46/1.02 | ~ (E @ (s @ 0) @ (f @ X0))
% 1.46/1.02 | ~ (E @ (s @ 0) @ (f @ (suc @ X0))))),
% 1.46/1.02 inference('clc', [status(thm)], [zip_derived_cl95, zip_derived_cl42])).
% 1.46/1.02 thf(zip_derived_cl239, plain,
% 1.46/1.02 (![X0 : $i]:
% 1.46/1.02 ( (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 1.46/1.02 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 1.46/1.02 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 1.46/1.02 | ~ (E @ (s @ 0) @ (f @ X0))
% 1.46/1.02 | ~ (E @ (s @ 0) @ (f @ (suc @ X0))))),
% 1.46/1.02 inference('clc', [status(thm)], [zip_derived_cl223, zip_derived_cl104])).
% 1.46/1.02 thf(zip_derived_cl91, plain,
% 1.46/1.02 (![X0 : $i]:
% 1.46/1.02 ( (iLEQ @ (suc @ X0) @ (suc @ X0))
% 1.46/1.02 | (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 1.46/1.02 | ~ (E @ (s @ 0) @ (f @ X0))
% 1.46/1.02 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 1.46/1.02 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0)))))),
% 1.46/1.02 inference('clc', [status(thm)], [zip_derived_cl32, zip_derived_cl42])).
% 1.46/1.02 thf(zip_derived_cl240, plain,
% 1.46/1.02 (![X0 : $i]:
% 1.46/1.02 (~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 1.46/1.02 | ~ (E @ (s @ 0) @ (f @ X0))
% 1.46/1.02 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 1.46/1.02 | (E @ (f @ X0) @ (f @ (suc @ (suc @ X0)))))),
% 1.46/1.02 inference('clc', [status(thm)], [zip_derived_cl239, zip_derived_cl91])).
% 1.46/1.02 thf(zip_derived_cl326, plain,
% 1.46/1.02 (![X0 : $i]:
% 1.46/1.02 (~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 1.46/1.02 | ~ (E @ (s @ 0) @ (f @ X0))
% 1.46/1.02 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 1.46/1.02 | ~ (E @ (s @ 0) @ (f @ (suc @ X0))))),
% 1.46/1.02 inference('clc', [status(thm)], [zip_derived_cl325, zip_derived_cl240])).
% 1.46/1.02 thf(zip_derived_cl361, plain,
% 1.46/1.02 (![X0 : $i]:
% 1.46/1.02 ( (LE @ (f @ X0) @ (s @ 0))
% 1.46/1.02 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 1.46/1.02 | ~ (E @ (s @ 0) @ (f @ X0))
% 1.46/1.02 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0)))))),
% 1.46/1.02 inference('sup-', [status(thm)], [zip_derived_cl346, zip_derived_cl326])).
% 1.46/1.02 thf(clause_105, axiom,
% 1.46/1.02 (( ~( LE @ ( f @ ( suc @ B_13 ) ) @ ( s @ ( s @ 0 ) ) ) ) |
% 1.46/1.02 ( E @ ( s @ 0 ) @ ( f @ ( suc @ B_13 ) ) ) |
% 1.46/1.02 ( LE @ ( f @ B_13 ) @ ( s @ 0 ) ))).
% 1.46/1.02 thf(zip_derived_cl2, plain,
% 1.46/1.02 (![X0 : $i]:
% 1.46/1.02 (~ (LE @ (f @ (suc @ X0)) @ (s @ (s @ 0)))
% 1.46/1.02 | (E @ (s @ 0) @ (f @ (suc @ X0)))
% 1.46/1.02 | (LE @ (f @ X0) @ (s @ 0)))),
% 1.46/1.02 inference('cnf', [status(esa)], [clause_105])).
% 1.46/1.02 thf(zip_derived_cl344, plain, (![X0 : $i]: (LE @ (f @ X0) @ (s @ (s @ 0)))),
% 1.46/1.02 inference('clc', [status(thm)], [zip_derived_cl343, zip_derived_cl258])).
% 1.46/1.02 thf(zip_derived_cl345, plain,
% 1.46/1.02 (![X0 : $i]:
% 1.46/1.02 ( (E @ (s @ 0) @ (f @ (suc @ X0))) | (LE @ (f @ X0) @ (s @ 0)))),
% 1.46/1.02 inference('demod', [status(thm)], [zip_derived_cl2, zip_derived_cl344])).
% 1.46/1.02 thf(zip_derived_cl372, plain,
% 1.46/1.02 (![X0 : $i]:
% 1.46/1.02 (~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 1.46/1.02 | ~ (E @ (s @ 0) @ (f @ X0))
% 1.46/1.02 | (LE @ (f @ X0) @ (s @ 0)))),
% 1.46/1.02 inference('clc', [status(thm)], [zip_derived_cl361, zip_derived_cl345])).
% 1.46/1.02 thf(clause_137, axiom,
% 1.46/1.02 (( ~( LE @ ( f @ ( suc @ ( suc @ B_13 ) ) ) @ ( s @ ( s @ 0 ) ) ) ) |
% 1.46/1.02 ( E @ ( s @ 0 ) @ ( f @ ( suc @ ( suc @ B_13 ) ) ) ) |
% 1.46/1.02 ( LE @ ( f @ B_13 ) @ ( s @ 0 ) ))).
% 1.46/1.02 thf(zip_derived_cl61, plain,
% 1.46/1.02 (![X0 : $i]:
% 1.46/1.02 (~ (LE @ (f @ (suc @ (suc @ X0))) @ (s @ (s @ 0)))
% 1.46/1.02 | (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 1.46/1.02 | (LE @ (f @ X0) @ (s @ 0)))),
% 1.46/1.02 inference('cnf', [status(esa)], [clause_137])).
% 1.46/1.02 thf(zip_derived_cl344, plain, (![X0 : $i]: (LE @ (f @ X0) @ (s @ (s @ 0)))),
% 1.46/1.02 inference('clc', [status(thm)], [zip_derived_cl343, zip_derived_cl258])).
% 1.46/1.02 thf(zip_derived_cl348, plain,
% 1.46/1.02 (![X0 : $i]:
% 1.46/1.02 ( (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 1.46/1.02 | (LE @ (f @ X0) @ (s @ 0)))),
% 1.46/1.02 inference('demod', [status(thm)], [zip_derived_cl61, zip_derived_cl344])).
% 1.46/1.02 thf(zip_derived_cl373, plain,
% 1.46/1.02 (![X0 : $i]: ( (LE @ (f @ X0) @ (s @ 0)) | ~ (E @ (s @ 0) @ (f @ X0)))),
% 1.46/1.02 inference('clc', [status(thm)], [zip_derived_cl372, zip_derived_cl348])).
% 1.46/1.02 thf(clause_42, axiom,
% 1.46/1.02 (( ~( LE @ ( f @ B_13 ) @ ( s @ ( s @ 0 ) ) ) ) |
% 1.46/1.02 ( E @ ( s @ 0 ) @ ( f @ B_13 ) ) | ( LE @ ( f @ B_13 ) @ ( s @ 0 ) ))).
% 1.46/1.02 thf(zip_derived_cl55, plain,
% 1.46/1.02 (![X0 : $i]:
% 1.46/1.02 (~ (LE @ (f @ X0) @ (s @ (s @ 0)))
% 1.46/1.02 | (E @ (s @ 0) @ (f @ X0))
% 1.46/1.02 | (LE @ (f @ X0) @ (s @ 0)))),
% 1.46/1.02 inference('cnf', [status(esa)], [clause_42])).
% 1.46/1.02 thf(zip_derived_cl344, plain, (![X0 : $i]: (LE @ (f @ X0) @ (s @ (s @ 0)))),
% 1.46/1.02 inference('clc', [status(thm)], [zip_derived_cl343, zip_derived_cl258])).
% 1.46/1.02 thf(zip_derived_cl347, plain,
% 1.46/1.02 (![X0 : $i]: ( (E @ (s @ 0) @ (f @ X0)) | (LE @ (f @ X0) @ (s @ 0)))),
% 1.46/1.02 inference('demod', [status(thm)], [zip_derived_cl55, zip_derived_cl344])).
% 1.46/1.02 thf(zip_derived_cl374, plain, (![X0 : $i]: (LE @ (f @ X0) @ (s @ 0))),
% 1.46/1.02 inference('clc', [status(thm)], [zip_derived_cl373, zip_derived_cl347])).
% 1.46/1.02 thf(zip_derived_cl375, plain,
% 1.46/1.02 (![X0 : $i]:
% 1.46/1.02 ( (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0))))) | (LE @ (f @ X0) @ 0))),
% 1.46/1.02 inference('demod', [status(thm)], [zip_derived_cl31, zip_derived_cl374])).
% 1.46/1.02 thf(clause_233, axiom,
% 1.46/1.02 (( ~( E @ ( f @ A_4 ) @ ( f @ ( suc @ A_4 ) ) ) ) |
% 1.46/1.02 ( ~( E @ 0 @ ( f @ ( suc @ B_17 ) ) ) ) |
% 1.46/1.02 ( ~( E @ ( f @ B_17 ) @ ( f @ ( suc @ ( suc @ B_17 ) ) ) ) ) |
% 1.46/1.02 ( ~( iLEQ @ ( suc @ A_4 ) @ ( suc @ B_17 ) ) ) |
% 1.46/1.02 ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ ( suc @ A_4 ) ) ) ) ) ) |
% 1.46/1.02 ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ B_17 ) ) ) ) ) |
% 1.46/1.02 ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ A_4 ) ) ) ) ) |
% 1.46/1.02 ( ~( E @ 0 @ ( f @ B_17 ) ) ) |
% 1.46/1.02 ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ ( suc @ B_17 ) ) ) ) ) ) |
% 1.46/1.02 ( ~( E @ 0 @ ( f @ ( suc @ A_4 ) ) ) ) |
% 1.46/1.02 ( ~( E @ ( f @ A_4 ) @ ( f @ ( suc @ ( suc @ A_4 ) ) ) ) ) |
% 1.46/1.02 ( ~( E @ ( f @ B_17 ) @ ( f @ ( suc @ B_17 ) ) ) ) |
% 1.46/1.02 ( ~( E @ 0 @ ( f @ A_4 ) ) ))).
% 1.46/1.02 thf(zip_derived_cl37, plain,
% 1.46/1.02 (![X0 : $i, X1 : $i]:
% 1.46/1.02 (~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.46/1.02 | ~ (E @ 0 @ (f @ (suc @ X1)))
% 1.46/1.02 | ~ (E @ (f @ X1) @ (f @ (suc @ (suc @ X1))))
% 1.46/1.02 | ~ (iLEQ @ (suc @ X0) @ (suc @ X1))
% 1.46/1.02 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0)))))
% 1.46/1.02 | ~ (E @ 0 @ (f @ (suc @ (suc @ X1))))
% 1.46/1.02 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 1.46/1.02 | ~ (E @ 0 @ (f @ X1))
% 1.46/1.02 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X1)))))
% 1.46/1.02 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 1.46/1.02 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 1.46/1.02 | ~ (E @ (f @ X1) @ (f @ (suc @ X1)))
% 1.46/1.02 | ~ (E @ 0 @ (f @ X0)))),
% 1.46/1.02 inference('cnf', [status(esa)], [clause_233])).
% 1.46/1.02 thf(zip_derived_cl224, plain,
% 1.46/1.02 (![X0 : $i]:
% 1.46/1.02 (~ (E @ 0 @ (f @ X0))
% 1.46/1.02 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.46/1.02 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 1.46/1.02 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 1.46/1.02 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0)))))
% 1.46/1.02 | ~ (E @ 0 @ (f @ X0))
% 1.46/1.02 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 1.46/1.02 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 1.46/1.02 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 1.46/1.02 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 1.46/1.02 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 1.46/1.02 | ~ (E @ (f @ X0) @ (f @ (suc @ X0))))),
% 1.46/1.02 inference('eq_fact', [status(thm)], [zip_derived_cl37])).
% 1.46/1.02 thf(zip_derived_cl225, plain,
% 1.46/1.02 (![X0 : $i]:
% 1.46/1.02 (~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 1.46/1.02 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 1.46/1.02 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0)))))
% 1.46/1.02 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 1.46/1.02 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 1.46/1.02 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.46/1.02 | ~ (E @ 0 @ (f @ X0)))),
% 1.46/1.02 inference('simplify', [status(thm)], [zip_derived_cl224])).
% 1.46/1.02 thf(clause_388, axiom,
% 1.46/1.02 (( ~( E @ ( f @ A_4 ) @ ( f @ ( suc @ A_4 ) ) ) ) |
% 1.46/1.02 ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ ( suc @ A_4 ) ) ) ) ) ) |
% 1.46/1.02 ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ A_4 ) ) ) ) ) |
% 1.46/1.02 ( ~( E @ 0 @ ( f @ ( suc @ A_4 ) ) ) ) |
% 1.46/1.02 ( ~( E @ ( f @ A_4 ) @ ( f @ ( suc @ ( suc @ A_4 ) ) ) ) ) |
% 1.46/1.02 ( ~( E @ 0 @ ( f @ A_4 ) ) ) | ( iLEQ @ ( suc @ A_4 ) @ ( suc @ A_4 ) ))).
% 1.46/1.02 thf(zip_derived_cl18, plain,
% 1.46/1.02 (![X0 : $i]:
% 1.46/1.02 (~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.46/1.02 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0)))))
% 1.46/1.02 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 1.46/1.02 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 1.46/1.02 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 1.46/1.02 | ~ (E @ 0 @ (f @ X0))
% 1.46/1.02 | (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 1.46/1.02 inference('cnf', [status(esa)], [clause_388])).
% 1.46/1.02 thf(clause_3, axiom,
% 1.46/1.02 (( ~( E @ 0 @ ( f @ ( suc @ B_17 ) ) ) ) |
% 1.46/1.02 ( ~( iLEQ @ ( suc @ A_4 ) @ ( suc @ B_17 ) ) ) |
% 1.46/1.02 ( ~( E @ 0 @ ( f @ B_17 ) ) ) | ( ~( E @ 0 @ ( f @ ( suc @ A_4 ) ) ) ) |
% 1.46/1.02 ( ~( E @ 0 @ ( f @ A_4 ) ) ) |
% 1.46/1.02 ( E @ ( f @ A_4 ) @ ( f @ ( suc @ A_4 ) ) ) |
% 1.46/1.02 ( E @ ( f @ B_17 ) @ ( f @ ( suc @ B_17 ) ) ))).
% 1.46/1.02 thf(zip_derived_cl27, plain,
% 1.46/1.02 (![X0 : $i, X1 : $i]:
% 1.46/1.02 (~ (E @ 0 @ (f @ (suc @ X0)))
% 1.46/1.02 | ~ (iLEQ @ (suc @ X1) @ (suc @ X0))
% 1.46/1.02 | ~ (E @ 0 @ (f @ X0))
% 1.46/1.02 | ~ (E @ 0 @ (f @ (suc @ X1)))
% 1.46/1.02 | ~ (E @ 0 @ (f @ X1))
% 1.46/1.02 | (E @ (f @ X1) @ (f @ (suc @ X1)))
% 1.46/1.02 | (E @ (f @ X0) @ (f @ (suc @ X0))))),
% 1.46/1.02 inference('cnf', [status(esa)], [clause_3])).
% 1.46/1.02 thf(zip_derived_cl84, plain,
% 1.46/1.02 (![X0 : $i]:
% 1.46/1.02 ( (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.46/1.02 | (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.46/1.02 | ~ (E @ 0 @ (f @ X0))
% 1.46/1.02 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 1.46/1.02 | ~ (E @ 0 @ (f @ X0))
% 1.46/1.02 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 1.46/1.02 inference('eq_fact', [status(thm)], [zip_derived_cl27])).
% 1.46/1.02 thf(zip_derived_cl85, plain,
% 1.46/1.02 (![X0 : $i]:
% 1.46/1.02 (~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 1.46/1.02 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 1.46/1.02 | ~ (E @ 0 @ (f @ X0))
% 1.46/1.02 | (E @ (f @ X0) @ (f @ (suc @ X0))))),
% 1.46/1.02 inference('simplify', [status(thm)], [zip_derived_cl84])).
% 1.46/1.02 thf(clause_442, axiom,
% 1.46/1.02 (( ~( E @ 0 @ ( f @ A_4 ) ) ) | ( ~( E @ 0 @ ( f @ ( suc @ A_4 ) ) ) ) |
% 1.46/1.02 ( E @ ( f @ A_4 ) @ ( f @ ( suc @ A_4 ) ) ) |
% 1.46/1.02 ( iLEQ @ ( suc @ A_4 ) @ ( suc @ A_4 ) ))).
% 1.46/1.02 thf(zip_derived_cl48, plain,
% 1.46/1.02 (![X0 : $i]:
% 1.46/1.02 (~ (E @ 0 @ (f @ X0))
% 1.46/1.02 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 1.46/1.02 | (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.46/1.02 | (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 1.46/1.02 inference('cnf', [status(esa)], [clause_442])).
% 1.46/1.02 thf(zip_derived_cl86, plain,
% 1.46/1.02 (![X0 : $i]:
% 1.46/1.02 ( (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.46/1.02 | ~ (E @ 0 @ (f @ X0))
% 1.46/1.02 | ~ (E @ 0 @ (f @ (suc @ X0))))),
% 1.46/1.02 inference('clc', [status(thm)], [zip_derived_cl85, zip_derived_cl48])).
% 1.46/1.02 thf(zip_derived_cl92, plain,
% 1.46/1.02 (![X0 : $i]:
% 1.46/1.02 ( (iLEQ @ (suc @ X0) @ (suc @ X0))
% 1.46/1.02 | ~ (E @ 0 @ (f @ X0))
% 1.46/1.02 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 1.46/1.02 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 1.46/1.02 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 1.46/1.02 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0))))))),
% 1.46/1.02 inference('clc', [status(thm)], [zip_derived_cl18, zip_derived_cl86])).
% 1.46/1.02 thf(clause_345, axiom,
% 1.46/1.02 (( ~( E @ 0 @ ( f @ ( suc @ ( suc @ A_4 ) ) ) ) ) |
% 1.46/1.02 ( ~( E @ 0 @ ( f @ ( suc @ A_4 ) ) ) ) |
% 1.46/1.02 ( ~( E @ ( f @ A_4 ) @ ( f @ ( suc @ A_4 ) ) ) ) |
% 1.46/1.02 ( ~( E @ 0 @ ( f @ A_4 ) ) ) |
% 1.46/1.02 ( E @ ( f @ A_4 ) @ ( f @ ( suc @ ( suc @ A_4 ) ) ) ) |
% 1.46/1.02 ( iLEQ @ ( suc @ A_4 ) @ ( suc @ A_4 ) ))).
% 1.46/1.02 thf(zip_derived_cl5, plain,
% 1.46/1.02 (![X0 : $i]:
% 1.46/1.02 (~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 1.46/1.02 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 1.46/1.02 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.46/1.02 | ~ (E @ 0 @ (f @ X0))
% 1.46/1.02 | (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 1.46/1.02 | (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 1.46/1.02 inference('cnf', [status(esa)], [clause_345])).
% 1.46/1.02 thf(zip_derived_cl48, plain,
% 1.46/1.02 (![X0 : $i]:
% 1.46/1.02 (~ (E @ 0 @ (f @ X0))
% 1.46/1.02 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 1.46/1.02 | (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.46/1.02 | (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 1.46/1.02 inference('cnf', [status(esa)], [clause_442])).
% 1.46/1.02 thf(zip_derived_cl72, plain,
% 1.46/1.02 (![X0 : $i]:
% 1.46/1.02 ( (iLEQ @ (suc @ X0) @ (suc @ X0))
% 1.46/1.02 | (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 1.46/1.02 | ~ (E @ 0 @ (f @ X0))
% 1.46/1.02 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 1.46/1.02 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0)))))),
% 1.46/1.02 inference('clc', [status(thm)], [zip_derived_cl5, zip_derived_cl48])).
% 1.46/1.02 thf(zip_derived_cl93, plain,
% 1.46/1.02 (![X0 : $i]:
% 1.46/1.02 (~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0)))))
% 1.46/1.02 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 1.46/1.02 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 1.46/1.02 | ~ (E @ 0 @ (f @ X0))
% 1.46/1.02 | (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 1.46/1.02 inference('clc', [status(thm)], [zip_derived_cl92, zip_derived_cl72])).
% 1.46/1.02 thf(zip_derived_cl241, plain,
% 1.46/1.02 (![X0 : $i]:
% 1.46/1.02 (~ (E @ 0 @ (f @ X0))
% 1.46/1.02 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.46/1.02 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 1.46/1.02 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 1.46/1.02 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0)))))
% 1.46/1.02 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0)))))),
% 1.46/1.02 inference('clc', [status(thm)], [zip_derived_cl225, zip_derived_cl93])).
% 1.46/1.02 thf(zip_derived_cl86, plain,
% 1.46/1.02 (![X0 : $i]:
% 1.46/1.02 ( (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.46/1.02 | ~ (E @ 0 @ (f @ X0))
% 1.46/1.02 | ~ (E @ 0 @ (f @ (suc @ X0))))),
% 1.46/1.02 inference('clc', [status(thm)], [zip_derived_cl85, zip_derived_cl48])).
% 1.46/1.02 thf(zip_derived_cl242, plain,
% 1.46/1.02 (![X0 : $i]:
% 1.46/1.02 (~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 1.46/1.02 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0)))))
% 1.46/1.02 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 1.46/1.02 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 1.46/1.02 | ~ (E @ 0 @ (f @ X0)))),
% 1.46/1.02 inference('clc', [status(thm)], [zip_derived_cl241, zip_derived_cl86])).
% 1.46/1.02 thf(clause_311, axiom,
% 1.46/1.02 (( ~( E @ ( f @ A_4 ) @ ( f @ ( suc @ A_4 ) ) ) ) |
% 1.46/1.02 ( ~( E @ 0 @ ( f @ ( suc @ B_17 ) ) ) ) |
% 1.46/1.02 ( ~( iLEQ @ ( suc @ A_4 ) @ ( suc @ B_17 ) ) ) |
% 1.46/1.02 ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ B_17 ) ) ) ) ) |
% 1.46/1.02 ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ A_4 ) ) ) ) ) |
% 1.46/1.02 ( ~( E @ 0 @ ( f @ B_17 ) ) ) | ( ~( E @ 0 @ ( f @ ( suc @ A_4 ) ) ) ) |
% 1.46/1.02 ( ~( E @ ( f @ B_17 ) @ ( f @ ( suc @ B_17 ) ) ) ) |
% 1.46/1.02 ( ~( E @ 0 @ ( f @ A_4 ) ) ) |
% 1.46/1.02 ( E @ ( f @ A_4 ) @ ( f @ ( suc @ ( suc @ A_4 ) ) ) ) |
% 1.46/1.02 ( E @ ( f @ B_17 ) @ ( f @ ( suc @ ( suc @ B_17 ) ) ) ))).
% 1.46/1.02 thf(zip_derived_cl65, plain,
% 1.46/1.02 (![X0 : $i, X1 : $i]:
% 1.46/1.02 (~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.46/1.02 | ~ (E @ 0 @ (f @ (suc @ X1)))
% 1.46/1.02 | ~ (iLEQ @ (suc @ X0) @ (suc @ X1))
% 1.46/1.02 | ~ (E @ 0 @ (f @ (suc @ (suc @ X1))))
% 1.46/1.02 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 1.46/1.02 | ~ (E @ 0 @ (f @ X1))
% 1.46/1.02 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 1.46/1.02 | ~ (E @ (f @ X1) @ (f @ (suc @ X1)))
% 1.46/1.02 | ~ (E @ 0 @ (f @ X0))
% 1.46/1.02 | (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 1.46/1.02 | (E @ (f @ X1) @ (f @ (suc @ (suc @ X1)))))),
% 1.46/1.02 inference('cnf', [status(esa)], [clause_311])).
% 1.46/1.02 thf(zip_derived_cl187, plain,
% 1.46/1.02 (![X0 : $i]:
% 1.46/1.02 ( (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 1.46/1.02 | (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 1.46/1.02 | ~ (E @ 0 @ (f @ X0))
% 1.46/1.02 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.46/1.02 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 1.46/1.02 | ~ (E @ 0 @ (f @ X0))
% 1.46/1.02 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 1.46/1.02 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 1.46/1.02 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 1.46/1.02 | ~ (E @ (f @ X0) @ (f @ (suc @ X0))))),
% 1.46/1.02 inference('eq_fact', [status(thm)], [zip_derived_cl65])).
% 1.46/1.02 thf(zip_derived_cl188, plain,
% 1.46/1.02 (![X0 : $i]:
% 1.46/1.02 (~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 1.46/1.02 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 1.46/1.02 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 1.46/1.02 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.46/1.02 | ~ (E @ 0 @ (f @ X0))
% 1.46/1.02 | (E @ (f @ X0) @ (f @ (suc @ (suc @ X0)))))),
% 1.46/1.02 inference('simplify', [status(thm)], [zip_derived_cl187])).
% 1.46/1.02 thf(zip_derived_cl72, plain,
% 1.46/1.02 (![X0 : $i]:
% 1.46/1.02 ( (iLEQ @ (suc @ X0) @ (suc @ X0))
% 1.46/1.02 | (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 1.46/1.02 | ~ (E @ 0 @ (f @ X0))
% 1.46/1.02 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 1.46/1.02 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0)))))),
% 1.46/1.02 inference('clc', [status(thm)], [zip_derived_cl5, zip_derived_cl48])).
% 1.46/1.02 thf(zip_derived_cl199, plain,
% 1.46/1.02 (![X0 : $i]:
% 1.46/1.02 ( (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 1.46/1.02 | ~ (E @ 0 @ (f @ X0))
% 1.46/1.02 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.46/1.02 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 1.46/1.02 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0)))))),
% 1.46/1.02 inference('clc', [status(thm)], [zip_derived_cl188, zip_derived_cl72])).
% 1.46/1.02 thf(zip_derived_cl86, plain,
% 1.46/1.02 (![X0 : $i]:
% 1.46/1.02 ( (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.46/1.02 | ~ (E @ 0 @ (f @ X0))
% 1.46/1.02 | ~ (E @ 0 @ (f @ (suc @ X0))))),
% 1.46/1.02 inference('clc', [status(thm)], [zip_derived_cl85, zip_derived_cl48])).
% 1.46/1.02 thf(zip_derived_cl200, plain,
% 1.46/1.02 (![X0 : $i]:
% 1.46/1.02 (~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 1.46/1.02 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 1.46/1.02 | ~ (E @ 0 @ (f @ X0))
% 1.46/1.02 | (E @ (f @ X0) @ (f @ (suc @ (suc @ X0)))))),
% 1.46/1.02 inference('clc', [status(thm)], [zip_derived_cl199, zip_derived_cl86])).
% 1.46/1.02 thf(zip_derived_cl243, plain,
% 1.46/1.02 (![X0 : $i]:
% 1.46/1.02 (~ (E @ 0 @ (f @ X0))
% 1.46/1.02 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 1.46/1.02 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0)))))
% 1.46/1.02 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0)))))),
% 1.46/1.02 inference('clc', [status(thm)], [zip_derived_cl242, zip_derived_cl200])).
% 1.46/1.02 thf(zip_derived_cl392, plain,
% 1.46/1.02 (![X0 : $i]:
% 1.46/1.02 ( (LE @ (f @ X0) @ 0)
% 1.46/1.02 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 1.46/1.02 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 1.46/1.02 | ~ (E @ 0 @ (f @ X0)))),
% 1.46/1.02 inference('sup-', [status(thm)], [zip_derived_cl375, zip_derived_cl243])).
% 1.46/1.02 thf(clause_66, axiom,
% 1.46/1.02 (( ~( LE @ ( f @ ( suc @ ( suc @ B_16 ) ) ) @ ( s @ 0 ) ) ) |
% 1.46/1.02 ( E @ 0 @ ( f @ ( suc @ ( suc @ B_16 ) ) ) ) | ( LE @ ( f @ B_16 ) @ 0 ))).
% 1.46/1.02 thf(zip_derived_cl54, plain,
% 1.46/1.02 (![X0 : $i]:
% 1.46/1.02 (~ (LE @ (f @ (suc @ (suc @ X0))) @ (s @ 0))
% 1.46/1.02 | (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 1.46/1.02 | (LE @ (f @ X0) @ 0))),
% 1.46/1.02 inference('cnf', [status(esa)], [clause_66])).
% 1.46/1.02 thf(zip_derived_cl374, plain, (![X0 : $i]: (LE @ (f @ X0) @ (s @ 0))),
% 1.46/1.02 inference('clc', [status(thm)], [zip_derived_cl373, zip_derived_cl347])).
% 1.46/1.02 thf(zip_derived_cl377, plain,
% 1.46/1.02 (![X0 : $i]: ( (E @ 0 @ (f @ (suc @ (suc @ X0)))) | (LE @ (f @ X0) @ 0))),
% 1.46/1.02 inference('demod', [status(thm)], [zip_derived_cl54, zip_derived_cl374])).
% 1.46/1.02 thf(zip_derived_cl396, plain,
% 1.46/1.02 (![X0 : $i]:
% 1.46/1.02 (~ (E @ 0 @ (f @ X0))
% 1.46/1.02 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 1.46/1.02 | (LE @ (f @ X0) @ 0))),
% 1.46/1.02 inference('clc', [status(thm)], [zip_derived_cl392, zip_derived_cl377])).
% 1.46/1.02 thf(clause_423, axiom,
% 1.46/1.02 (( ~( LE @ ( f @ B_16 ) @ ( s @ 0 ) ) ) | ( E @ 0 @ ( f @ B_16 ) ) |
% 1.46/1.02 ( LE @ ( f @ B_16 ) @ 0 ))).
% 1.46/1.02 thf(zip_derived_cl62, plain,
% 1.46/1.02 (![X0 : $i]:
% 1.46/1.02 (~ (LE @ (f @ X0) @ (s @ 0))
% 1.46/1.02 | (E @ 0 @ (f @ X0))
% 1.46/1.02 | (LE @ (f @ X0) @ 0))),
% 1.46/1.02 inference('cnf', [status(esa)], [clause_423])).
% 1.46/1.02 thf(zip_derived_cl374, plain, (![X0 : $i]: (LE @ (f @ X0) @ (s @ 0))),
% 1.46/1.02 inference('clc', [status(thm)], [zip_derived_cl373, zip_derived_cl347])).
% 1.46/1.02 thf(zip_derived_cl378, plain,
% 1.46/1.02 (![X0 : $i]: ( (E @ 0 @ (f @ X0)) | (LE @ (f @ X0) @ 0))),
% 1.46/1.02 inference('demod', [status(thm)], [zip_derived_cl62, zip_derived_cl374])).
% 1.46/1.02 thf(zip_derived_cl397, plain,
% 1.46/1.02 (![X0 : $i]: ( (LE @ (f @ X0) @ 0) | ~ (E @ 0 @ (f @ (suc @ X0))))),
% 1.46/1.02 inference('clc', [status(thm)], [zip_derived_cl396, zip_derived_cl378])).
% 1.46/1.02 thf(clause_11, axiom,
% 1.46/1.02 (( ~( LE @ ( f @ ( suc @ B_16 ) ) @ ( s @ 0 ) ) ) |
% 1.46/1.02 ( E @ 0 @ ( f @ ( suc @ B_16 ) ) ) | ( LE @ ( f @ B_16 ) @ 0 ))).
% 1.46/1.02 thf(zip_derived_cl50, plain,
% 1.46/1.02 (![X0 : $i]:
% 1.46/1.02 (~ (LE @ (f @ (suc @ X0)) @ (s @ 0))
% 1.46/1.02 | (E @ 0 @ (f @ (suc @ X0)))
% 1.46/1.02 | (LE @ (f @ X0) @ 0))),
% 1.46/1.02 inference('cnf', [status(esa)], [clause_11])).
% 1.46/1.02 thf(zip_derived_cl374, plain, (![X0 : $i]: (LE @ (f @ X0) @ (s @ 0))),
% 1.46/1.02 inference('clc', [status(thm)], [zip_derived_cl373, zip_derived_cl347])).
% 1.46/1.02 thf(zip_derived_cl376, plain,
% 1.46/1.02 (![X0 : $i]: ( (E @ 0 @ (f @ (suc @ X0))) | (LE @ (f @ X0) @ 0))),
% 1.46/1.02 inference('demod', [status(thm)], [zip_derived_cl50, zip_derived_cl374])).
% 1.46/1.02 thf(zip_derived_cl398, plain, (![X0 : $i]: (LE @ (f @ X0) @ 0)),
% 1.46/1.02 inference('clc', [status(thm)], [zip_derived_cl397, zip_derived_cl376])).
% 1.46/1.02 thf(zip_derived_cl399, plain, ($false),
% 1.46/1.02 inference('demod', [status(thm)], [zip_derived_cl17, zip_derived_cl398])).
% 1.46/1.02
% 1.46/1.02 % SZS output end Refutation
% 1.46/1.02
% 1.46/1.02
% 1.46/1.02 % Terminating...
% 1.86/1.14 % Runner terminated.
% 1.86/1.14 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------