TSTP Solution File: SYO649-1 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYO649-1 : 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.Y52YX5Ux0b true
% Computer : n009.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 05:52:25 EDT 2023
% Result : Unsatisfiable 0.91s 0.75s
% Output : Refutation 0.91s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : SYO649-1 : TPTP v8.1.2. Released v7.3.0.
% 0.08/0.15 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.Y52YX5Ux0b true
% 0.15/0.37 % Computer : n009.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Sat Aug 26 00:21:06 EDT 2023
% 0.15/0.37 % CPUTime :
% 0.15/0.37 % Running portfolio for 300 s
% 0.15/0.37 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.37 % Number of cores: 8
% 0.15/0.37 % Python version: Python 3.6.8
% 0.15/0.37 % Running in FO mode
% 0.23/0.60 % Total configuration time : 435
% 0.23/0.60 % Estimated wc time : 1092
% 0.23/0.60 % Estimated cpu time (7 cpus) : 156.0
% 0.23/0.64 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.23/0.67 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.91/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.91/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.91/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.91/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.91/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.91/0.75 % Solved by fo/fo6_bce.sh.
% 0.91/0.75 % BCE start: 38
% 0.91/0.75 % BCE eliminated: 0
% 0.91/0.75 % PE start: 38
% 0.91/0.75 logic: neq
% 0.91/0.75 % PE eliminated: 25
% 0.91/0.75 % done 40 iterations in 0.082s
% 0.91/0.75 % SZS status Unsatisfiable for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.91/0.75 % SZS output start Refutation
% 0.91/0.75 thf(suc_type, type, suc: $i > $i).
% 0.91/0.75 thf(f_type, type, f: $i > $i).
% 0.91/0.75 thf(iLEQ_type, type, iLEQ: $i > $i > $o).
% 0.91/0.75 thf(0_type, type, 0: $i).
% 0.91/0.75 thf(E_type, type, E: $i > $i > $o).
% 0.91/0.75 thf(LE_type, type, LE: $i > $i > $o).
% 0.91/0.75 thf(z_type, type, z: $i).
% 0.91/0.75 thf(s_type, type, s: $i > $i).
% 0.91/0.75 thf(clause_1514, axiom,
% 0.91/0.75 (( ~( E @ 0 @ ( f @ ( suc @ ( suc @ ( suc @ A_1 ) ) ) ) ) ) |
% 0.91/0.75 ( ~( E @ 0 @ ( f @ ( suc @ A_1 ) ) ) ) |
% 0.91/0.75 ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ A_1 ) ) ) ) ) |
% 0.91/0.75 ( ~( E @ 0 @ ( f @ A_1 ) ) ) |
% 0.91/0.75 ( ~( E @ ( f @ A_1 ) @ ( f @ ( suc @ ( suc @ A_1 ) ) ) ) ) |
% 0.91/0.75 ( ~( E @ ( f @ A_1 ) @ ( f @ ( suc @ A_1 ) ) ) ) |
% 0.91/0.75 ( E @ ( f @ A_1 ) @ ( f @ ( suc @ ( suc @ ( suc @ A_1 ) ) ) ) ) |
% 0.91/0.75 ( iLEQ @ ( suc @ A_1 ) @ ( suc @ A_1 ) ))).
% 0.91/0.75 thf(zip_derived_cl34, plain,
% 0.91/0.75 (![X0 : $i]:
% 0.91/0.75 (~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0)))))
% 0.91/0.75 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.91/0.75 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 0.91/0.75 | ~ (E @ 0 @ (f @ X0))
% 0.91/0.75 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 0.91/0.75 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.91/0.75 | (E @ (f @ X0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 0.91/0.75 | (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 0.91/0.75 inference('cnf', [status(esa)], [clause_1514])).
% 0.91/0.75 thf(clause_412, axiom,
% 0.91/0.75 (( ~( E @ 0 @ ( f @ ( suc @ ( suc @ ( suc @ A_1 ) ) ) ) ) ) |
% 0.91/0.75 ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ ( suc @ B_2 ) ) ) ) ) ) |
% 0.91/0.75 ( ~( E @ ( f @ B_2 ) @ ( f @ ( suc @ ( suc @ B_2 ) ) ) ) ) |
% 0.91/0.75 ( ~( E @ 0 @ ( f @ ( suc @ A_1 ) ) ) ) |
% 0.91/0.75 ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ A_1 ) ) ) ) ) |
% 0.91/0.75 ( ~( E @ 0 @ ( f @ A_1 ) ) ) | ( ~( E @ 0 @ ( f @ ( suc @ B_2 ) ) ) ) |
% 0.91/0.75 ( ~( E @ ( f @ B_2 ) @ ( f @ ( suc @ B_2 ) ) ) ) |
% 0.91/0.75 ( ~( iLEQ @ ( suc @ A_1 ) @ ( suc @ B_2 ) ) ) |
% 0.91/0.75 ( ~( E @ 0 @ ( f @ B_2 ) ) ) |
% 0.91/0.75 ( ~( E @ ( f @ A_1 ) @ ( f @ ( suc @ ( suc @ A_1 ) ) ) ) ) |
% 0.91/0.75 ( ~( E @ ( f @ A_1 ) @ ( f @ ( suc @ A_1 ) ) ) ) |
% 0.91/0.75 ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ B_2 ) ) ) ) ) |
% 0.91/0.75 ( E @ ( f @ A_1 ) @ ( f @ ( suc @ ( suc @ ( suc @ A_1 ) ) ) ) ) |
% 0.91/0.75 ( E @ ( f @ B_2 ) @ ( f @ ( suc @ ( suc @ ( suc @ B_2 ) ) ) ) ))).
% 0.91/0.75 thf(zip_derived_cl30, plain,
% 0.91/0.75 (![X0 : $i, X1 : $i]:
% 0.91/0.75 (~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0)))))
% 0.91/0.75 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X1)))))
% 0.91/0.75 | ~ (E @ (f @ X1) @ (f @ (suc @ (suc @ X1))))
% 0.91/0.75 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.91/0.75 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 0.91/0.75 | ~ (E @ 0 @ (f @ X0))
% 0.91/0.75 | ~ (E @ 0 @ (f @ (suc @ X1)))
% 0.91/0.75 | ~ (E @ (f @ X1) @ (f @ (suc @ X1)))
% 0.91/0.75 | ~ (iLEQ @ (suc @ X0) @ (suc @ X1))
% 0.91/0.75 | ~ (E @ 0 @ (f @ X1))
% 0.91/0.75 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 0.91/0.75 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.91/0.75 | ~ (E @ 0 @ (f @ (suc @ (suc @ X1))))
% 0.91/0.75 | (E @ (f @ X0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 0.91/0.75 | (E @ (f @ X1) @ (f @ (suc @ (suc @ (suc @ X1))))))),
% 0.91/0.75 inference('cnf', [status(esa)], [clause_412])).
% 0.91/0.75 thf(zip_derived_cl159, plain,
% 0.91/0.75 (![X0 : $i]:
% 0.91/0.75 ( (E @ (f @ X0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 0.91/0.75 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.91/0.75 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 0.91/0.75 | ~ (E @ 0 @ (f @ X0))
% 0.91/0.75 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 0.91/0.75 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.91/0.75 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0)))))
% 0.91/0.75 | (E @ (f @ X0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 0.91/0.75 | (E @ (f @ X0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 0.91/0.75 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 0.91/0.75 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.91/0.75 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 0.91/0.75 | ~ (E @ 0 @ (f @ X0))
% 0.91/0.75 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.91/0.75 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.91/0.75 | ~ (E @ 0 @ (f @ X0))
% 0.91/0.75 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 0.91/0.75 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.91/0.75 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 0.91/0.75 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0)))))
% 0.91/0.75 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0))))))),
% 0.91/0.75 inference('dp-resolution', [status(thm)],
% 0.91/0.75 [zip_derived_cl34, zip_derived_cl30])).
% 0.91/0.75 thf(zip_derived_cl205, plain,
% 0.91/0.75 (![X0 : $i]:
% 0.91/0.75 (~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0)))))
% 0.91/0.75 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.91/0.75 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 0.91/0.75 | ~ (E @ 0 @ (f @ X0))
% 0.91/0.75 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 0.91/0.75 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.91/0.75 | (E @ (f @ X0) @ (f @ (suc @ (suc @ (suc @ X0))))))),
% 0.91/0.75 inference('simplify', [status(thm)], [zip_derived_cl159])).
% 0.91/0.75 thf(clause_1172, axiom,
% 0.91/0.75 (( ~( E @ 0 @ ( f @ ( suc @ ( suc @ A_1 ) ) ) ) ) |
% 0.91/0.75 ( ~( E @ 0 @ ( f @ ( suc @ A_1 ) ) ) ) |
% 0.91/0.75 ( ~( E @ ( f @ A_1 ) @ ( f @ ( suc @ A_1 ) ) ) ) |
% 0.91/0.75 ( ~( E @ 0 @ ( f @ A_1 ) ) ) |
% 0.91/0.75 ( E @ ( f @ A_1 ) @ ( f @ ( suc @ ( suc @ A_1 ) ) ) ) |
% 0.91/0.75 ( iLEQ @ ( suc @ A_1 ) @ ( suc @ A_1 ) ))).
% 0.91/0.75 thf(zip_derived_cl19, plain,
% 0.91/0.75 (![X0 : $i]:
% 0.91/0.75 (~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 0.91/0.75 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.91/0.75 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.91/0.75 | ~ (E @ 0 @ (f @ X0))
% 0.91/0.75 | (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 0.91/0.75 | (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 0.91/0.75 inference('cnf', [status(esa)], [clause_1172])).
% 0.91/0.75 thf(clause_375, axiom,
% 0.91/0.75 (( ~( E @ 0 @ ( f @ ( suc @ A_1 ) ) ) ) |
% 0.91/0.75 ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ A_1 ) ) ) ) ) |
% 0.91/0.75 ( ~( E @ 0 @ ( f @ A_1 ) ) ) | ( ~( E @ 0 @ ( f @ ( suc @ B_2 ) ) ) ) |
% 0.91/0.75 ( ~( E @ ( f @ B_2 ) @ ( f @ ( suc @ B_2 ) ) ) ) |
% 0.91/0.75 ( ~( iLEQ @ ( suc @ A_1 ) @ ( suc @ B_2 ) ) ) |
% 0.91/0.75 ( ~( E @ 0 @ ( f @ B_2 ) ) ) |
% 0.91/0.75 ( ~( E @ ( f @ A_1 ) @ ( f @ ( suc @ A_1 ) ) ) ) |
% 0.91/0.75 ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ B_2 ) ) ) ) ) |
% 0.91/0.75 ( E @ ( f @ A_1 ) @ ( f @ ( suc @ ( suc @ A_1 ) ) ) ) |
% 0.91/0.75 ( E @ ( f @ B_2 ) @ ( f @ ( suc @ ( suc @ B_2 ) ) ) ))).
% 0.91/0.75 thf(zip_derived_cl1, plain,
% 0.91/0.75 (![X0 : $i, X1 : $i]:
% 0.91/0.75 (~ (E @ 0 @ (f @ (suc @ X0)))
% 0.91/0.75 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 0.91/0.75 | ~ (E @ 0 @ (f @ X0))
% 0.91/0.75 | ~ (E @ 0 @ (f @ (suc @ X1)))
% 0.91/0.75 | ~ (E @ (f @ X1) @ (f @ (suc @ X1)))
% 0.91/0.75 | ~ (iLEQ @ (suc @ X0) @ (suc @ X1))
% 0.91/0.75 | ~ (E @ 0 @ (f @ X1))
% 0.91/0.75 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.91/0.75 | ~ (E @ 0 @ (f @ (suc @ (suc @ X1))))
% 0.91/0.75 | (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 0.91/0.75 | (E @ (f @ X1) @ (f @ (suc @ (suc @ X1)))))),
% 0.91/0.75 inference('cnf', [status(esa)], [clause_375])).
% 0.91/0.75 thf(zip_derived_cl89, plain,
% 0.91/0.75 (![X0 : $i]:
% 0.91/0.75 ( (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 0.91/0.75 | ~ (E @ 0 @ (f @ X0))
% 0.91/0.75 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.91/0.75 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.91/0.75 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 0.91/0.75 | (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 0.91/0.75 | (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 0.91/0.75 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 0.91/0.75 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.91/0.75 | ~ (E @ 0 @ (f @ X0))
% 0.91/0.75 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.91/0.75 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.91/0.75 | ~ (E @ 0 @ (f @ X0))
% 0.91/0.75 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 0.91/0.75 | ~ (E @ 0 @ (f @ (suc @ X0))))),
% 0.91/0.75 inference('dp-resolution', [status(thm)],
% 0.91/0.75 [zip_derived_cl19, zip_derived_cl1])).
% 0.91/0.75 thf(zip_derived_cl193, plain,
% 0.91/0.75 (![X0 : $i]:
% 0.91/0.75 (~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 0.91/0.75 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.91/0.75 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.91/0.75 | ~ (E @ 0 @ (f @ X0))
% 0.91/0.75 | (E @ (f @ X0) @ (f @ (suc @ (suc @ X0)))))),
% 0.91/0.75 inference('simplify', [status(thm)], [zip_derived_cl89])).
% 0.91/0.75 thf(clause_258, axiom,
% 0.91/0.75 (( ~( E @ 0 @ ( f @ A_1 ) ) ) | ( ~( E @ 0 @ ( f @ ( suc @ A_1 ) ) ) ) |
% 0.91/0.75 ( E @ ( f @ A_1 ) @ ( f @ ( suc @ A_1 ) ) ) |
% 0.91/0.75 ( iLEQ @ ( suc @ A_1 ) @ ( suc @ A_1 ) ))).
% 0.91/0.75 thf(zip_derived_cl21, plain,
% 0.91/0.75 (![X0 : $i]:
% 0.91/0.75 (~ (E @ 0 @ (f @ X0))
% 0.91/0.75 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.91/0.75 | (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.91/0.75 | (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 0.91/0.75 inference('cnf', [status(esa)], [clause_258])).
% 0.91/0.75 thf(clause_771, axiom,
% 0.91/0.75 (( ~( E @ 0 @ ( f @ ( suc @ A_1 ) ) ) ) | ( ~( E @ 0 @ ( f @ A_1 ) ) ) |
% 0.91/0.75 ( ~( E @ 0 @ ( f @ ( suc @ B_2 ) ) ) ) |
% 0.91/0.75 ( ~( iLEQ @ ( suc @ A_1 ) @ ( suc @ B_2 ) ) ) |
% 0.91/0.75 ( ~( E @ 0 @ ( f @ B_2 ) ) ) |
% 0.91/0.75 ( E @ ( f @ A_1 ) @ ( f @ ( suc @ A_1 ) ) ) |
% 0.91/0.75 ( E @ ( f @ B_2 ) @ ( f @ ( suc @ B_2 ) ) ))).
% 0.91/0.75 thf(zip_derived_cl10, plain,
% 0.91/0.75 (![X0 : $i, X1 : $i]:
% 0.91/0.75 (~ (E @ 0 @ (f @ (suc @ X0)))
% 0.91/0.75 | ~ (E @ 0 @ (f @ X0))
% 0.91/0.75 | ~ (E @ 0 @ (f @ (suc @ X1)))
% 0.91/0.75 | ~ (iLEQ @ (suc @ X0) @ (suc @ X1))
% 0.91/0.75 | ~ (E @ 0 @ (f @ X1))
% 0.91/0.75 | (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.91/0.75 | (E @ (f @ X1) @ (f @ (suc @ X1))))),
% 0.91/0.75 inference('cnf', [status(esa)], [clause_771])).
% 0.91/0.75 thf(zip_derived_cl120, plain,
% 0.91/0.75 (![X0 : $i]:
% 0.91/0.75 ( (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.91/0.75 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.91/0.75 | ~ (E @ 0 @ (f @ X0))
% 0.91/0.75 | (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.91/0.75 | (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.91/0.75 | ~ (E @ 0 @ (f @ X0))
% 0.91/0.75 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.91/0.75 | ~ (E @ 0 @ (f @ X0))
% 0.91/0.75 | ~ (E @ 0 @ (f @ (suc @ X0))))),
% 0.91/0.75 inference('dp-resolution', [status(thm)],
% 0.91/0.75 [zip_derived_cl21, zip_derived_cl10])).
% 0.91/0.75 thf(zip_derived_cl183, plain,
% 0.91/0.75 (![X0 : $i]:
% 0.91/0.75 (~ (E @ 0 @ (f @ X0))
% 0.91/0.75 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.91/0.75 | (E @ (f @ X0) @ (f @ (suc @ X0))))),
% 0.91/0.75 inference('simplify', [status(thm)], [zip_derived_cl120])).
% 0.91/0.75 thf(zip_derived_cl194, plain,
% 0.91/0.75 (![X0 : $i]:
% 0.91/0.75 ( (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 0.91/0.75 | ~ (E @ 0 @ (f @ X0))
% 0.91/0.75 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.91/0.75 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0)))))),
% 0.91/0.75 inference('clc', [status(thm)], [zip_derived_cl193, zip_derived_cl183])).
% 0.91/0.75 thf(zip_derived_cl206, plain,
% 0.91/0.75 (![X0 : $i]:
% 0.91/0.75 ( (E @ (f @ X0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 0.91/0.75 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.91/0.75 | ~ (E @ 0 @ (f @ X0))
% 0.91/0.75 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 0.91/0.75 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.91/0.75 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0))))))),
% 0.91/0.75 inference('clc', [status(thm)], [zip_derived_cl205, zip_derived_cl194])).
% 0.91/0.75 thf(zip_derived_cl183, plain,
% 0.91/0.75 (![X0 : $i]:
% 0.91/0.75 (~ (E @ 0 @ (f @ X0))
% 0.91/0.75 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.91/0.75 | (E @ (f @ X0) @ (f @ (suc @ X0))))),
% 0.91/0.75 inference('simplify', [status(thm)], [zip_derived_cl120])).
% 0.91/0.75 thf(zip_derived_cl207, plain,
% 0.91/0.75 (![X0 : $i]:
% 0.91/0.75 (~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0)))))
% 0.91/0.75 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.91/0.75 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 0.91/0.75 | ~ (E @ 0 @ (f @ X0))
% 0.91/0.75 | (E @ (f @ X0) @ (f @ (suc @ (suc @ (suc @ X0))))))),
% 0.91/0.75 inference('clc', [status(thm)], [zip_derived_cl206, zip_derived_cl183])).
% 0.91/0.75 thf(clause_1033, axiom,
% 0.91/0.75 (( ~( LE @ ( f @ ( suc @ ( suc @ ( suc @ ( suc @ B_1 ) ) ) ) ) @ ( s @ 0 ) ) ) |
% 0.91/0.75 ( E @ 0 @ ( f @ ( suc @ ( suc @ ( suc @ ( suc @ B_1 ) ) ) ) ) ) |
% 0.91/0.75 ( LE @ ( f @ B_1 ) @ 0 ))).
% 0.91/0.75 thf(zip_derived_cl17, plain,
% 0.91/0.75 (![X0 : $i]:
% 0.91/0.75 (~ (LE @ (f @ (suc @ (suc @ (suc @ (suc @ X0))))) @ (s @ 0))
% 0.91/0.75 | (E @ 0 @ (f @ (suc @ (suc @ (suc @ (suc @ X0))))))
% 0.91/0.75 | (LE @ (f @ X0) @ 0))),
% 0.91/0.75 inference('cnf', [status(esa)], [clause_1033])).
% 0.91/0.75 thf(clause_1382, axiom, (LE @ ( f @ A ) @ ( s @ 0 ))).
% 0.91/0.75 thf(zip_derived_cl36, plain, (![X0 : $i]: (LE @ (f @ X0) @ (s @ 0))),
% 0.91/0.75 inference('cnf', [status(esa)], [clause_1382])).
% 0.91/0.75 thf(zip_derived_cl172, plain,
% 0.91/0.75 (![X0 : $i]:
% 0.91/0.75 ( (E @ 0 @ (f @ (suc @ (suc @ (suc @ (suc @ X0))))))
% 0.91/0.75 | (LE @ (f @ X0) @ 0))),
% 0.91/0.75 inference('demod', [status(thm)], [zip_derived_cl17, zip_derived_cl36])).
% 0.91/0.75 thf(zip_derived_cl194, plain,
% 0.91/0.75 (![X0 : $i]:
% 0.91/0.75 ( (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 0.91/0.75 | ~ (E @ 0 @ (f @ X0))
% 0.91/0.75 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.91/0.75 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0)))))),
% 0.91/0.75 inference('clc', [status(thm)], [zip_derived_cl193, zip_derived_cl183])).
% 0.91/0.75 thf(zip_derived_cl183, plain,
% 0.91/0.75 (![X0 : $i]:
% 0.91/0.75 (~ (E @ 0 @ (f @ X0))
% 0.91/0.75 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.91/0.75 | (E @ (f @ X0) @ (f @ (suc @ X0))))),
% 0.91/0.75 inference('simplify', [status(thm)], [zip_derived_cl120])).
% 0.91/0.75 thf(clause_1501, axiom,
% 0.91/0.75 (( ~( E @ 0 @ ( f @ ( suc @ ( suc @ ( suc @ A_1 ) ) ) ) ) ) |
% 0.91/0.75 ( ~( E @ 0 @ ( f @ ( suc @ A_1 ) ) ) ) |
% 0.91/0.75 ( ~( E @ ( f @ A_1 ) @ ( f @ ( suc @ ( suc @ ( suc @ A_1 ) ) ) ) ) ) |
% 0.91/0.75 ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ A_1 ) ) ) ) ) |
% 0.91/0.75 ( ~( E @ 0 @ ( f @ A_1 ) ) ) |
% 0.91/0.75 ( ~( E @ ( f @ A_1 ) @ ( f @ ( suc @ ( suc @ A_1 ) ) ) ) ) |
% 0.91/0.75 ( ~( E @ ( f @ A_1 ) @ ( f @ ( suc @ A_1 ) ) ) ) |
% 0.91/0.75 ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ ( suc @ ( suc @ A_1 ) ) ) ) ) ) ) |
% 0.91/0.75 ( E @ ( f @ A_1 ) @ ( f @ ( suc @ ( suc @ ( suc @ ( suc @ A_1 ) ) ) ) ) ) |
% 0.91/0.75 ( iLEQ @ ( suc @ A_1 ) @ ( suc @ A_1 ) ))).
% 0.91/0.75 thf(zip_derived_cl13, plain,
% 0.91/0.75 (![X0 : $i]:
% 0.91/0.75 (~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0)))))
% 0.91/0.75 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.91/0.75 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 0.91/0.75 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 0.91/0.75 | ~ (E @ 0 @ (f @ X0))
% 0.91/0.75 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 0.91/0.75 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.91/0.75 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ (suc @ X0))))))
% 0.91/0.75 | (E @ (f @ X0) @ (f @ (suc @ (suc @ (suc @ (suc @ X0))))))
% 0.91/0.75 | (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 0.91/0.75 inference('cnf', [status(esa)], [clause_1501])).
% 0.91/0.75 thf(clause_102, axiom,
% 0.91/0.75 (( ~( E @ 0 @ ( f @ ( suc @ ( suc @ ( suc @ A_1 ) ) ) ) ) ) |
% 0.91/0.75 ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ ( suc @ B_2 ) ) ) ) ) ) |
% 0.91/0.75 ( ~( E @ ( f @ B_2 ) @ ( f @ ( suc @ ( suc @ B_2 ) ) ) ) ) |
% 0.91/0.75 ( ~( E @ 0 @ ( f @ ( suc @ A_1 ) ) ) ) |
% 0.91/0.75 ( ~( E @ ( f @ A_1 ) @ ( f @ ( suc @ ( suc @ ( suc @ A_1 ) ) ) ) ) ) |
% 0.91/0.75 ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ A_1 ) ) ) ) ) |
% 0.91/0.75 ( ~( E @ 0 @ ( f @ A_1 ) ) ) | ( ~( E @ 0 @ ( f @ ( suc @ B_2 ) ) ) ) |
% 0.91/0.75 ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ ( suc @ ( suc @ B_2 ) ) ) ) ) ) ) |
% 0.91/0.75 ( ~( E @ ( f @ B_2 ) @ ( f @ ( suc @ B_2 ) ) ) ) |
% 0.91/0.75 ( ~( iLEQ @ ( suc @ A_1 ) @ ( suc @ B_2 ) ) ) |
% 0.91/0.75 ( ~( E @ 0 @ ( f @ B_2 ) ) ) |
% 0.91/0.75 ( ~( E @ ( f @ A_1 ) @ ( f @ ( suc @ ( suc @ A_1 ) ) ) ) ) |
% 0.91/0.75 ( ~( E @ ( f @ B_2 ) @ ( f @ ( suc @ ( suc @ ( suc @ B_2 ) ) ) ) ) ) |
% 0.91/0.75 ( ~( E @ ( f @ A_1 ) @ ( f @ ( suc @ A_1 ) ) ) ) |
% 0.91/0.75 ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ B_2 ) ) ) ) ) |
% 0.91/0.75 ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ ( suc @ ( suc @ A_1 ) ) ) ) ) ) ) |
% 0.91/0.75 ( E @ ( f @ A_1 ) @ ( f @ ( suc @ ( suc @ ( suc @ ( suc @ A_1 ) ) ) ) ) ) |
% 0.91/0.75 ( E @ ( f @ B_2 ) @ ( f @ ( suc @ ( suc @ ( suc @ ( suc @ B_2 ) ) ) ) ) ))).
% 0.91/0.75 thf(zip_derived_cl33, plain,
% 0.91/0.75 (![X0 : $i, X1 : $i]:
% 0.91/0.75 (~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0)))))
% 0.91/0.75 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X1)))))
% 0.91/0.75 | ~ (E @ (f @ X1) @ (f @ (suc @ (suc @ X1))))
% 0.91/0.75 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.91/0.75 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 0.91/0.75 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 0.91/0.75 | ~ (E @ 0 @ (f @ X0))
% 0.91/0.75 | ~ (E @ 0 @ (f @ (suc @ X1)))
% 0.91/0.75 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ (suc @ X1))))))
% 0.91/0.75 | ~ (E @ (f @ X1) @ (f @ (suc @ X1)))
% 0.91/0.75 | ~ (iLEQ @ (suc @ X0) @ (suc @ X1))
% 0.91/0.75 | ~ (E @ 0 @ (f @ X1))
% 0.91/0.75 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 0.91/0.75 | ~ (E @ (f @ X1) @ (f @ (suc @ (suc @ (suc @ X1)))))
% 0.91/0.75 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.91/0.75 | ~ (E @ 0 @ (f @ (suc @ (suc @ X1))))
% 0.91/0.75 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ (suc @ X0))))))
% 0.91/0.75 | (E @ (f @ X0) @ (f @ (suc @ (suc @ (suc @ (suc @ X0))))))
% 0.91/0.75 | (E @ (f @ X1) @ (f @ (suc @ (suc @ (suc @ (suc @ X1)))))))),
% 0.91/0.75 inference('cnf', [status(esa)], [clause_102])).
% 0.91/0.75 thf(zip_derived_cl86, plain,
% 0.91/0.75 (![X0 : $i]:
% 0.91/0.75 ( (E @ (f @ X0) @ (f @ (suc @ (suc @ (suc @ (suc @ X0))))))
% 0.91/0.75 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ (suc @ X0))))))
% 0.91/0.75 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.91/0.75 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 0.91/0.75 | ~ (E @ 0 @ (f @ X0))
% 0.91/0.75 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 0.91/0.75 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 0.91/0.75 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.91/0.75 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0)))))
% 0.91/0.75 | (E @ (f @ X0) @ (f @ (suc @ (suc @ (suc @ (suc @ X0))))))
% 0.91/0.75 | (E @ (f @ X0) @ (f @ (suc @ (suc @ (suc @ (suc @ X0))))))
% 0.91/0.75 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ (suc @ X0))))))
% 0.91/0.75 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 0.91/0.75 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.91/0.75 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 0.91/0.75 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 0.91/0.75 | ~ (E @ 0 @ (f @ X0))
% 0.91/0.75 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.91/0.75 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ (suc @ X0))))))
% 0.91/0.75 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.91/0.75 | ~ (E @ 0 @ (f @ X0))
% 0.91/0.75 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 0.91/0.75 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 0.91/0.75 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.91/0.75 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 0.91/0.75 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0)))))
% 0.91/0.75 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0))))))),
% 0.91/0.75 inference('dp-resolution', [status(thm)],
% 0.91/0.75 [zip_derived_cl13, zip_derived_cl33])).
% 0.91/0.75 thf(zip_derived_cl188, plain,
% 0.91/0.75 (![X0 : $i]:
% 0.91/0.75 (~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0)))))
% 0.91/0.75 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.91/0.75 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 0.91/0.75 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 0.91/0.75 | ~ (E @ 0 @ (f @ X0))
% 0.91/0.75 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 0.91/0.75 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.91/0.75 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ (suc @ X0))))))
% 0.91/0.75 | (E @ (f @ X0) @ (f @ (suc @ (suc @ (suc @ (suc @ X0)))))))),
% 0.91/0.75 inference('simplify', [status(thm)], [zip_derived_cl86])).
% 0.91/0.75 thf(clause_62, axiom,
% 0.91/0.75 (( ~( LE @
% 0.91/0.75 ( f @ ( suc @ ( suc @ ( suc @ ( suc @ ( suc @ B_1 ) ) ) ) ) ) @
% 0.91/0.75 ( s @ 0 ) ) ) |
% 0.91/0.75 ( E @ 0 @ ( f @ ( suc @ ( suc @ ( suc @ ( suc @ ( suc @ B_1 ) ) ) ) ) ) ) |
% 0.91/0.75 ( LE @ ( f @ B_1 ) @ 0 ))).
% 0.91/0.75 thf(zip_derived_cl5, plain,
% 0.91/0.75 (![X0 : $i]:
% 0.91/0.75 (~ (LE @ (f @ (suc @ (suc @ (suc @ (suc @ (suc @ X0)))))) @ (s @ 0))
% 0.91/0.75 | (E @ 0 @ (f @ (suc @ (suc @ (suc @ (suc @ (suc @ X0)))))))
% 0.91/0.75 | (LE @ (f @ X0) @ 0))),
% 0.91/0.75 inference('cnf', [status(esa)], [clause_62])).
% 0.91/0.75 thf(zip_derived_cl36, plain, (![X0 : $i]: (LE @ (f @ X0) @ (s @ 0))),
% 0.91/0.75 inference('cnf', [status(esa)], [clause_1382])).
% 0.91/0.75 thf(zip_derived_cl165, plain,
% 0.91/0.75 (![X0 : $i]:
% 0.91/0.75 ( (E @ 0 @ (f @ (suc @ (suc @ (suc @ (suc @ (suc @ X0)))))))
% 0.91/0.75 | (LE @ (f @ X0) @ 0))),
% 0.91/0.75 inference('demod', [status(thm)], [zip_derived_cl5, zip_derived_cl36])).
% 0.91/0.75 thf(zip_derived_cl172, plain,
% 0.91/0.75 (![X0 : $i]:
% 0.91/0.75 ( (E @ 0 @ (f @ (suc @ (suc @ (suc @ (suc @ X0))))))
% 0.91/0.75 | (LE @ (f @ X0) @ 0))),
% 0.91/0.75 inference('demod', [status(thm)], [zip_derived_cl17, zip_derived_cl36])).
% 0.91/0.75 thf(zip_derived_cl207, plain,
% 0.91/0.75 (![X0 : $i]:
% 0.91/0.75 (~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0)))))
% 0.91/0.75 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.91/0.75 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 0.91/0.75 | ~ (E @ 0 @ (f @ X0))
% 0.91/0.75 | (E @ (f @ X0) @ (f @ (suc @ (suc @ (suc @ X0))))))),
% 0.91/0.75 inference('clc', [status(thm)], [zip_derived_cl206, zip_derived_cl183])).
% 0.91/0.75 thf(zip_derived_cl194, plain,
% 0.91/0.75 (![X0 : $i]:
% 0.91/0.75 ( (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 0.91/0.75 | ~ (E @ 0 @ (f @ X0))
% 0.91/0.75 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.91/0.75 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0)))))),
% 0.91/0.75 inference('clc', [status(thm)], [zip_derived_cl193, zip_derived_cl183])).
% 0.91/0.75 thf(zip_derived_cl183, plain,
% 0.91/0.75 (![X0 : $i]:
% 0.91/0.75 (~ (E @ 0 @ (f @ X0))
% 0.91/0.75 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.91/0.75 | (E @ (f @ X0) @ (f @ (suc @ X0))))),
% 0.91/0.75 inference('simplify', [status(thm)], [zip_derived_cl120])).
% 0.91/0.75 thf(clause_314, axiom,
% 0.91/0.75 (( ~( LE @ ( f @ B_1 ) @ ( s @ 0 ) ) ) | ( E @ 0 @ ( f @ B_1 ) ) |
% 0.91/0.75 ( LE @ ( f @ B_1 ) @ 0 ))).
% 0.91/0.75 thf(zip_derived_cl32, plain,
% 0.91/0.75 (![X0 : $i]:
% 0.91/0.75 (~ (LE @ (f @ X0) @ (s @ 0))
% 0.91/0.75 | (E @ 0 @ (f @ X0))
% 0.91/0.75 | (LE @ (f @ X0) @ 0))),
% 0.91/0.75 inference('cnf', [status(esa)], [clause_314])).
% 0.91/0.75 thf(zip_derived_cl36, plain, (![X0 : $i]: (LE @ (f @ X0) @ (s @ 0))),
% 0.91/0.75 inference('cnf', [status(esa)], [clause_1382])).
% 0.91/0.75 thf(zip_derived_cl163, plain,
% 0.91/0.75 (![X0 : $i]: ( (E @ 0 @ (f @ X0)) | (LE @ (f @ X0) @ 0))),
% 0.91/0.75 inference('demod', [status(thm)], [zip_derived_cl32, zip_derived_cl36])).
% 0.91/0.75 thf(clause_716, axiom, (~( LE @ ( f @ z ) @ 0 ))).
% 0.91/0.75 thf(zip_derived_cl6, plain, (~ (LE @ (f @ z) @ 0)),
% 0.91/0.75 inference('cnf', [status(esa)], [clause_716])).
% 0.91/0.75 thf(zip_derived_cl164, plain, ( (E @ 0 @ (f @ z))),
% 0.91/0.75 inference('s_sup-', [status(thm)], [zip_derived_cl163, zip_derived_cl6])).
% 0.91/0.75 thf(clause_1507, axiom,
% 0.91/0.75 (( ~( E @ 0 @ ( f @ ( suc @ ( suc @ ( suc @ A_1 ) ) ) ) ) ) |
% 0.91/0.75 ( ~( E @ 0 @ ( f @ ( suc @ A_1 ) ) ) ) |
% 0.91/0.75 ( ~( E @ ( f @ A_1 ) @ ( f @ ( suc @ ( suc @ ( suc @ A_1 ) ) ) ) ) ) |
% 0.91/0.75 ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ A_1 ) ) ) ) ) |
% 0.91/0.75 ( ~( E @ 0 @ ( f @ A_1 ) ) ) |
% 0.91/0.75 ( ~( E @ ( f @ A_1 ) @ ( f @ ( suc @ ( suc @ A_1 ) ) ) ) ) |
% 0.91/0.75 ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ ( suc @ ( suc @ ( suc @ A_1 ) ) ) ) ) ) ) ) |
% 0.91/0.75 ( ~( E @ ( f @ A_1 ) @ ( f @ ( suc @ A_1 ) ) ) ) |
% 0.91/0.75 ( ~( E @ ( f @ A_1 ) @ ( f @ ( suc @ ( suc @ ( suc @ ( suc @ A_1 ) ) ) ) ) ) ) |
% 0.91/0.75 ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ ( suc @ ( suc @ A_1 ) ) ) ) ) ) ) |
% 0.91/0.75 ( iLEQ @ ( suc @ A_1 ) @ ( suc @ A_1 ) ))).
% 0.91/0.75 thf(zip_derived_cl4, plain,
% 0.91/0.75 (![X0 : $i]:
% 0.91/0.75 (~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0)))))
% 0.91/0.75 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.91/0.75 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 0.91/0.75 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 0.91/0.75 | ~ (E @ 0 @ (f @ X0))
% 0.91/0.75 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 0.91/0.75 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ (suc @ (suc @ X0)))))))
% 0.91/0.75 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.91/0.75 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ (suc @ (suc @ X0))))))
% 0.91/0.75 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ (suc @ X0))))))
% 0.91/0.75 | (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 0.91/0.75 inference('cnf', [status(esa)], [clause_1507])).
% 0.91/0.75 thf(clause_1046, axiom,
% 0.91/0.75 (( ~( E @ 0 @ ( f @ ( suc @ ( suc @ ( suc @ A_1 ) ) ) ) ) ) |
% 0.91/0.75 ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ ( suc @ B_2 ) ) ) ) ) ) |
% 0.91/0.75 ( ~( E @ ( f @ B_2 ) @ ( f @ ( suc @ ( suc @ B_2 ) ) ) ) ) |
% 0.91/0.75 ( ~( E @ 0 @ ( f @ ( suc @ A_1 ) ) ) ) |
% 0.91/0.75 ( ~( E @ ( f @ A_1 ) @ ( f @ ( suc @ ( suc @ ( suc @ A_1 ) ) ) ) ) ) |
% 0.91/0.75 ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ A_1 ) ) ) ) ) |
% 0.91/0.75 ( ~( E @ 0 @ ( f @ A_1 ) ) ) | ( ~( E @ 0 @ ( f @ ( suc @ B_2 ) ) ) ) |
% 0.91/0.75 ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ ( suc @ ( suc @ B_2 ) ) ) ) ) ) ) |
% 0.91/0.75 ( ~( E @ ( f @ B_2 ) @ ( f @ ( suc @ ( suc @ ( suc @ ( suc @ B_2 ) ) ) ) ) ) ) |
% 0.91/0.75 ( ~( E @ ( f @ B_2 ) @ ( f @ ( suc @ B_2 ) ) ) ) |
% 0.91/0.75 ( ~( iLEQ @ ( suc @ A_1 ) @ ( suc @ B_2 ) ) ) |
% 0.91/0.75 ( ~( E @ 0 @ ( f @ B_2 ) ) ) |
% 0.91/0.75 ( ~( E @ ( f @ A_1 ) @ ( f @ ( suc @ ( suc @ A_1 ) ) ) ) ) |
% 0.91/0.75 ( ~( E @ ( f @ B_2 ) @ ( f @ ( suc @ ( suc @ ( suc @ B_2 ) ) ) ) ) ) |
% 0.91/0.75 ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ ( suc @ ( suc @ ( suc @ A_1 ) ) ) ) ) ) ) ) |
% 0.91/0.75 ( ~( E @ ( f @ A_1 ) @ ( f @ ( suc @ A_1 ) ) ) ) |
% 0.91/0.75 ( ~( E @ ( f @ A_1 ) @ ( f @ ( suc @ ( suc @ ( suc @ ( suc @ A_1 ) ) ) ) ) ) ) |
% 0.91/0.75 ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ B_2 ) ) ) ) ) |
% 0.91/0.75 ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ ( suc @ ( suc @ A_1 ) ) ) ) ) ) ) |
% 0.91/0.75 ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ ( suc @ ( suc @ ( suc @ B_2 ) ) ) ) ) ) ) ))).
% 0.91/0.75 thf(zip_derived_cl20, plain,
% 0.91/0.75 (![X0 : $i, X1 : $i]:
% 0.91/0.75 (~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0)))))
% 0.91/0.75 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X1)))))
% 0.91/0.75 | ~ (E @ (f @ X1) @ (f @ (suc @ (suc @ X1))))
% 0.91/0.75 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.91/0.75 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 0.91/0.75 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 0.91/0.75 | ~ (E @ 0 @ (f @ X0))
% 0.91/0.75 | ~ (E @ 0 @ (f @ (suc @ X1)))
% 0.91/0.75 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ (suc @ X1))))))
% 0.91/0.75 | ~ (E @ (f @ X1) @ (f @ (suc @ (suc @ (suc @ (suc @ X1))))))
% 0.91/0.75 | ~ (E @ (f @ X1) @ (f @ (suc @ X1)))
% 0.91/0.75 | ~ (iLEQ @ (suc @ X0) @ (suc @ X1))
% 0.91/0.75 | ~ (E @ 0 @ (f @ X1))
% 0.91/0.75 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 0.91/0.75 | ~ (E @ (f @ X1) @ (f @ (suc @ (suc @ (suc @ X1)))))
% 0.91/0.75 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ (suc @ (suc @ X0)))))))
% 0.91/0.75 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.91/0.75 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ (suc @ (suc @ X0))))))
% 0.91/0.75 | ~ (E @ 0 @ (f @ (suc @ (suc @ X1))))
% 0.91/0.75 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ (suc @ X0))))))
% 0.91/0.75 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ (suc @ (suc @ X1))))))))),
% 0.91/0.75 inference('cnf', [status(esa)], [clause_1046])).
% 0.91/0.75 thf(zip_derived_cl51, plain,
% 0.91/0.75 (![X0 : $i]:
% 0.91/0.75 (~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ (suc @ X0))))))
% 0.91/0.75 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ (suc @ (suc @ X0))))))
% 0.91/0.75 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.91/0.75 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ (suc @ (suc @ X0)))))))
% 0.91/0.75 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 0.91/0.75 | ~ (E @ 0 @ (f @ X0))
% 0.91/0.75 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 0.91/0.75 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 0.91/0.75 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.91/0.75 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0)))))
% 0.91/0.75 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ (suc @ (suc @ X0)))))))
% 0.91/0.75 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ (suc @ X0))))))
% 0.91/0.75 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 0.91/0.75 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ (suc @ (suc @ X0))))))
% 0.91/0.75 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.91/0.75 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ (suc @ (suc @ X0)))))))
% 0.91/0.75 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 0.91/0.75 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 0.91/0.75 | ~ (E @ 0 @ (f @ X0))
% 0.91/0.75 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.91/0.75 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ (suc @ (suc @ X0))))))
% 0.91/0.75 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ (suc @ X0))))))
% 0.91/0.75 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.91/0.75 | ~ (E @ 0 @ (f @ X0))
% 0.91/0.75 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 0.91/0.75 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 0.91/0.75 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.91/0.75 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 0.91/0.75 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0)))))
% 0.91/0.75 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0))))))),
% 0.91/0.75 inference('dp-resolution', [status(thm)],
% 0.91/0.75 [zip_derived_cl4, zip_derived_cl20])).
% 0.91/0.75 thf(zip_derived_cl173, plain,
% 0.91/0.75 (![X0 : $i]:
% 0.91/0.75 (~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0)))))
% 0.91/0.75 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.91/0.75 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 0.91/0.75 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 0.91/0.75 | ~ (E @ 0 @ (f @ X0))
% 0.91/0.75 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 0.91/0.75 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ (suc @ (suc @ X0)))))))
% 0.91/0.75 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.91/0.75 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ (suc @ (suc @ X0))))))
% 0.91/0.75 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ (suc @ X0)))))))),
% 0.91/0.75 inference('simplify', [status(thm)], [zip_derived_cl51])).
% 0.91/0.75 thf(zip_derived_cl176, plain,
% 0.91/0.75 ((~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ z)))))
% 0.91/0.75 | ~ (E @ 0 @ (f @ (suc @ z)))
% 0.91/0.75 | ~ (E @ (f @ z) @ (f @ (suc @ (suc @ (suc @ z)))))
% 0.91/0.75 | ~ (E @ 0 @ (f @ (suc @ (suc @ z))))
% 0.91/0.75 | ~ (E @ (f @ z) @ (f @ (suc @ (suc @ z))))
% 0.91/0.75 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ (suc @ (suc @ z)))))))
% 0.91/0.75 | ~ (E @ (f @ z) @ (f @ (suc @ z)))
% 0.91/0.75 | ~ (E @ (f @ z) @ (f @ (suc @ (suc @ (suc @ (suc @ z))))))
% 0.91/0.75 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ (suc @ z)))))))),
% 0.91/0.75 inference('s_sup-', [status(thm)], [zip_derived_cl164, zip_derived_cl173])).
% 0.91/0.75 thf(clause_1214, axiom,
% 0.91/0.75 (( ~( LE @ ( f @ ( suc @ ( suc @ ( suc @ B_1 ) ) ) ) @ ( s @ 0 ) ) ) |
% 0.91/0.75 ( E @ 0 @ ( f @ ( suc @ ( suc @ ( suc @ B_1 ) ) ) ) ) |
% 0.91/0.75 ( LE @ ( f @ B_1 ) @ 0 ))).
% 0.91/0.75 thf(zip_derived_cl15, plain,
% 0.91/0.75 (![X0 : $i]:
% 0.91/0.75 (~ (LE @ (f @ (suc @ (suc @ (suc @ X0)))) @ (s @ 0))
% 0.91/0.75 | (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0)))))
% 0.91/0.75 | (LE @ (f @ X0) @ 0))),
% 0.91/0.75 inference('cnf', [status(esa)], [clause_1214])).
% 0.91/0.75 thf(zip_derived_cl36, plain, (![X0 : $i]: (LE @ (f @ X0) @ (s @ 0))),
% 0.91/0.75 inference('cnf', [status(esa)], [clause_1382])).
% 0.91/0.75 thf(zip_derived_cl170, plain,
% 0.91/0.75 (![X0 : $i]:
% 0.91/0.75 ( (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0))))) | (LE @ (f @ X0) @ 0))),
% 0.91/0.75 inference('demod', [status(thm)], [zip_derived_cl15, zip_derived_cl36])).
% 0.91/0.75 thf(zip_derived_cl6, plain, (~ (LE @ (f @ z) @ 0)),
% 0.91/0.75 inference('cnf', [status(esa)], [clause_716])).
% 0.91/0.75 thf(zip_derived_cl171, plain, ( (E @ 0 @ (f @ (suc @ (suc @ (suc @ z)))))),
% 0.91/0.75 inference('s_sup-', [status(thm)], [zip_derived_cl170, zip_derived_cl6])).
% 0.91/0.75 thf(clause_1518, axiom,
% 0.91/0.75 (( ~( LE @ ( f @ ( suc @ B_1 ) ) @ ( s @ 0 ) ) ) |
% 0.91/0.75 ( E @ 0 @ ( f @ ( suc @ B_1 ) ) ) | ( LE @ ( f @ B_1 ) @ 0 ))).
% 0.91/0.75 thf(zip_derived_cl37, plain,
% 0.91/0.75 (![X0 : $i]:
% 0.91/0.75 (~ (LE @ (f @ (suc @ X0)) @ (s @ 0))
% 0.91/0.75 | (E @ 0 @ (f @ (suc @ X0)))
% 0.91/0.75 | (LE @ (f @ X0) @ 0))),
% 0.91/0.75 inference('cnf', [status(esa)], [clause_1518])).
% 0.91/0.75 thf(zip_derived_cl36, plain, (![X0 : $i]: (LE @ (f @ X0) @ (s @ 0))),
% 0.91/0.75 inference('cnf', [status(esa)], [clause_1382])).
% 0.91/0.75 thf(zip_derived_cl166, plain,
% 0.91/0.75 (![X0 : $i]: ( (E @ 0 @ (f @ (suc @ X0))) | (LE @ (f @ X0) @ 0))),
% 0.91/0.75 inference('demod', [status(thm)], [zip_derived_cl37, zip_derived_cl36])).
% 0.91/0.75 thf(zip_derived_cl6, plain, (~ (LE @ (f @ z) @ 0)),
% 0.91/0.75 inference('cnf', [status(esa)], [clause_716])).
% 0.91/0.75 thf(zip_derived_cl167, plain, ( (E @ 0 @ (f @ (suc @ z)))),
% 0.91/0.75 inference('s_sup-', [status(thm)], [zip_derived_cl166, zip_derived_cl6])).
% 0.91/0.75 thf(clause_519, axiom,
% 0.91/0.75 (( ~( LE @ ( f @ ( suc @ ( suc @ B_1 ) ) ) @ ( s @ 0 ) ) ) |
% 0.91/0.75 ( E @ 0 @ ( f @ ( suc @ ( suc @ B_1 ) ) ) ) | ( LE @ ( f @ B_1 ) @ 0 ))).
% 0.91/0.75 thf(zip_derived_cl25, plain,
% 0.91/0.75 (![X0 : $i]:
% 0.91/0.75 (~ (LE @ (f @ (suc @ (suc @ X0))) @ (s @ 0))
% 0.91/0.75 | (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 0.91/0.75 | (LE @ (f @ X0) @ 0))),
% 0.91/0.75 inference('cnf', [status(esa)], [clause_519])).
% 0.91/0.75 thf(zip_derived_cl36, plain, (![X0 : $i]: (LE @ (f @ X0) @ (s @ 0))),
% 0.91/0.75 inference('cnf', [status(esa)], [clause_1382])).
% 0.91/0.75 thf(zip_derived_cl168, plain,
% 0.91/0.75 (![X0 : $i]: ( (E @ 0 @ (f @ (suc @ (suc @ X0)))) | (LE @ (f @ X0) @ 0))),
% 0.91/0.75 inference('demod', [status(thm)], [zip_derived_cl25, zip_derived_cl36])).
% 0.91/0.75 thf(zip_derived_cl6, plain, (~ (LE @ (f @ z) @ 0)),
% 0.91/0.75 inference('cnf', [status(esa)], [clause_716])).
% 0.91/0.75 thf(zip_derived_cl169, plain, ( (E @ 0 @ (f @ (suc @ (suc @ z))))),
% 0.91/0.75 inference('s_sup-', [status(thm)], [zip_derived_cl168, zip_derived_cl6])).
% 0.91/0.75 thf(zip_derived_cl180, plain,
% 0.91/0.75 ((~ (E @ (f @ z) @ (f @ (suc @ (suc @ (suc @ z)))))
% 0.91/0.75 | ~ (E @ (f @ z) @ (f @ (suc @ (suc @ z))))
% 0.91/0.75 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ (suc @ (suc @ z)))))))
% 0.91/0.75 | ~ (E @ (f @ z) @ (f @ (suc @ z)))
% 0.91/0.75 | ~ (E @ (f @ z) @ (f @ (suc @ (suc @ (suc @ (suc @ z))))))
% 0.91/0.75 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ (suc @ z)))))))),
% 0.91/0.75 inference('demod', [status(thm)],
% 0.91/0.75 [zip_derived_cl176, zip_derived_cl171, zip_derived_cl167,
% 0.91/0.75 zip_derived_cl169])).
% 0.91/0.75 thf(zip_derived_cl184, plain,
% 0.91/0.75 ((~ (E @ 0 @ (f @ (suc @ z)))
% 0.91/0.75 | ~ (E @ 0 @ (f @ z))
% 0.91/0.75 | ~ (E @ (f @ z) @ (f @ (suc @ (suc @ (suc @ z)))))
% 0.91/0.75 | ~ (E @ (f @ z) @ (f @ (suc @ (suc @ z))))
% 0.91/0.75 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ (suc @ (suc @ z)))))))
% 0.91/0.75 | ~ (E @ (f @ z) @ (f @ (suc @ (suc @ (suc @ (suc @ z))))))
% 0.91/0.75 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ (suc @ z)))))))),
% 0.91/0.75 inference('s_sup-', [status(thm)], [zip_derived_cl183, zip_derived_cl180])).
% 0.91/0.75 thf(zip_derived_cl167, plain, ( (E @ 0 @ (f @ (suc @ z)))),
% 0.91/0.75 inference('s_sup-', [status(thm)], [zip_derived_cl166, zip_derived_cl6])).
% 0.91/0.75 thf(zip_derived_cl164, plain, ( (E @ 0 @ (f @ z))),
% 0.91/0.75 inference('s_sup-', [status(thm)], [zip_derived_cl163, zip_derived_cl6])).
% 0.91/0.75 thf(zip_derived_cl185, plain,
% 0.91/0.75 ((~ (E @ (f @ z) @ (f @ (suc @ (suc @ (suc @ z)))))
% 0.91/0.75 | ~ (E @ (f @ z) @ (f @ (suc @ (suc @ z))))
% 0.91/0.75 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ (suc @ (suc @ z)))))))
% 0.91/0.75 | ~ (E @ (f @ z) @ (f @ (suc @ (suc @ (suc @ (suc @ z))))))
% 0.91/0.75 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ (suc @ z)))))))),
% 0.91/0.75 inference('demod', [status(thm)],
% 0.91/0.75 [zip_derived_cl184, zip_derived_cl167, zip_derived_cl164])).
% 0.91/0.75 thf(zip_derived_cl196, plain,
% 0.91/0.75 ((~ (E @ 0 @ (f @ (suc @ (suc @ z))))
% 0.91/0.75 | ~ (E @ 0 @ (f @ (suc @ z)))
% 0.91/0.75 | ~ (E @ 0 @ (f @ z))
% 0.91/0.75 | ~ (E @ (f @ z) @ (f @ (suc @ (suc @ (suc @ z)))))
% 0.91/0.75 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ (suc @ (suc @ z)))))))
% 0.91/0.75 | ~ (E @ (f @ z) @ (f @ (suc @ (suc @ (suc @ (suc @ z))))))
% 0.91/0.75 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ (suc @ z)))))))),
% 0.91/0.75 inference('s_sup-', [status(thm)], [zip_derived_cl194, zip_derived_cl185])).
% 0.91/0.75 thf(zip_derived_cl169, plain, ( (E @ 0 @ (f @ (suc @ (suc @ z))))),
% 0.91/0.75 inference('s_sup-', [status(thm)], [zip_derived_cl168, zip_derived_cl6])).
% 0.91/0.75 thf(zip_derived_cl167, plain, ( (E @ 0 @ (f @ (suc @ z)))),
% 0.91/0.75 inference('s_sup-', [status(thm)], [zip_derived_cl166, zip_derived_cl6])).
% 0.91/0.75 thf(zip_derived_cl164, plain, ( (E @ 0 @ (f @ z))),
% 0.91/0.75 inference('s_sup-', [status(thm)], [zip_derived_cl163, zip_derived_cl6])).
% 0.91/0.75 thf(zip_derived_cl198, plain,
% 0.91/0.75 ((~ (E @ (f @ z) @ (f @ (suc @ (suc @ (suc @ z)))))
% 0.91/0.75 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ (suc @ (suc @ z)))))))
% 0.91/0.75 | ~ (E @ (f @ z) @ (f @ (suc @ (suc @ (suc @ (suc @ z))))))
% 0.91/0.75 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ (suc @ z)))))))),
% 0.91/0.75 inference('demod', [status(thm)],
% 0.91/0.75 [zip_derived_cl196, zip_derived_cl169, zip_derived_cl167,
% 0.91/0.75 zip_derived_cl164])).
% 0.91/0.75 thf(zip_derived_cl209, plain,
% 0.91/0.75 ((~ (E @ 0 @ (f @ z))
% 0.91/0.75 | ~ (E @ 0 @ (f @ (suc @ (suc @ z))))
% 0.91/0.75 | ~ (E @ 0 @ (f @ (suc @ z)))
% 0.91/0.75 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ z)))))
% 0.91/0.75 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ (suc @ (suc @ z)))))))
% 0.91/0.75 | ~ (E @ (f @ z) @ (f @ (suc @ (suc @ (suc @ (suc @ z))))))
% 0.91/0.75 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ (suc @ z)))))))),
% 0.91/0.75 inference('s_sup-', [status(thm)], [zip_derived_cl207, zip_derived_cl198])).
% 0.91/0.75 thf(zip_derived_cl164, plain, ( (E @ 0 @ (f @ z))),
% 0.91/0.75 inference('s_sup-', [status(thm)], [zip_derived_cl163, zip_derived_cl6])).
% 0.91/0.75 thf(zip_derived_cl169, plain, ( (E @ 0 @ (f @ (suc @ (suc @ z))))),
% 0.91/0.75 inference('s_sup-', [status(thm)], [zip_derived_cl168, zip_derived_cl6])).
% 0.91/0.75 thf(zip_derived_cl167, plain, ( (E @ 0 @ (f @ (suc @ z)))),
% 0.91/0.75 inference('s_sup-', [status(thm)], [zip_derived_cl166, zip_derived_cl6])).
% 0.91/0.75 thf(zip_derived_cl171, plain, ( (E @ 0 @ (f @ (suc @ (suc @ (suc @ z)))))),
% 0.91/0.75 inference('s_sup-', [status(thm)], [zip_derived_cl170, zip_derived_cl6])).
% 0.91/0.75 thf(zip_derived_cl211, plain,
% 0.91/0.75 ((~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ (suc @ (suc @ z)))))))
% 0.91/0.75 | ~ (E @ (f @ z) @ (f @ (suc @ (suc @ (suc @ (suc @ z))))))
% 0.91/0.75 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ (suc @ z)))))))),
% 0.91/0.75 inference('demod', [status(thm)],
% 0.91/0.75 [zip_derived_cl209, zip_derived_cl164, zip_derived_cl169,
% 0.91/0.75 zip_derived_cl167, zip_derived_cl171])).
% 0.91/0.75 thf(zip_derived_cl223, plain,
% 0.91/0.75 (( (LE @ (f @ z) @ 0)
% 0.91/0.75 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ (suc @ (suc @ z)))))))
% 0.91/0.75 | ~ (E @ (f @ z) @ (f @ (suc @ (suc @ (suc @ (suc @ z)))))))),
% 0.91/0.75 inference('s_sup-', [status(thm)], [zip_derived_cl172, zip_derived_cl211])).
% 0.91/0.75 thf(zip_derived_cl6, plain, (~ (LE @ (f @ z) @ 0)),
% 0.91/0.75 inference('cnf', [status(esa)], [clause_716])).
% 0.91/0.75 thf(zip_derived_cl224, plain,
% 0.91/0.75 ((~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ (suc @ (suc @ z)))))))
% 0.91/0.75 | ~ (E @ (f @ z) @ (f @ (suc @ (suc @ (suc @ (suc @ z)))))))),
% 0.91/0.75 inference('demod', [status(thm)], [zip_derived_cl223, zip_derived_cl6])).
% 0.91/0.75 thf(zip_derived_cl226, plain,
% 0.91/0.75 (( (LE @ (f @ z) @ 0)
% 0.91/0.75 | ~ (E @ (f @ z) @ (f @ (suc @ (suc @ (suc @ (suc @ z)))))))),
% 0.91/0.75 inference('s_sup-', [status(thm)], [zip_derived_cl165, zip_derived_cl224])).
% 0.91/0.75 thf(zip_derived_cl6, plain, (~ (LE @ (f @ z) @ 0)),
% 0.91/0.75 inference('cnf', [status(esa)], [clause_716])).
% 0.91/0.75 thf(zip_derived_cl227, plain,
% 0.91/0.75 (~ (E @ (f @ z) @ (f @ (suc @ (suc @ (suc @ (suc @ z))))))),
% 0.91/0.75 inference('demod', [status(thm)], [zip_derived_cl226, zip_derived_cl6])).
% 0.91/0.75 thf(zip_derived_cl228, plain,
% 0.91/0.75 ((~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ (suc @ z))))))
% 0.91/0.75 | ~ (E @ (f @ z) @ (f @ (suc @ z)))
% 0.91/0.75 | ~ (E @ (f @ z) @ (f @ (suc @ (suc @ z))))
% 0.91/0.75 | ~ (E @ 0 @ (f @ z))
% 0.91/0.75 | ~ (E @ 0 @ (f @ (suc @ (suc @ z))))
% 0.91/0.75 | ~ (E @ (f @ z) @ (f @ (suc @ (suc @ (suc @ z)))))
% 0.91/0.75 | ~ (E @ 0 @ (f @ (suc @ z)))
% 0.91/0.75 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ z))))))),
% 0.91/0.75 inference('s_sup-', [status(thm)], [zip_derived_cl188, zip_derived_cl227])).
% 0.91/0.75 thf(zip_derived_cl164, plain, ( (E @ 0 @ (f @ z))),
% 0.91/0.75 inference('s_sup-', [status(thm)], [zip_derived_cl163, zip_derived_cl6])).
% 0.91/0.75 thf(zip_derived_cl169, plain, ( (E @ 0 @ (f @ (suc @ (suc @ z))))),
% 0.91/0.75 inference('s_sup-', [status(thm)], [zip_derived_cl168, zip_derived_cl6])).
% 0.91/0.75 thf(zip_derived_cl167, plain, ( (E @ 0 @ (f @ (suc @ z)))),
% 0.91/0.75 inference('s_sup-', [status(thm)], [zip_derived_cl166, zip_derived_cl6])).
% 0.91/0.75 thf(zip_derived_cl171, plain, ( (E @ 0 @ (f @ (suc @ (suc @ (suc @ z)))))),
% 0.91/0.75 inference('s_sup-', [status(thm)], [zip_derived_cl170, zip_derived_cl6])).
% 0.91/0.75 thf(zip_derived_cl229, plain,
% 0.91/0.75 ((~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ (suc @ z))))))
% 0.91/0.75 | ~ (E @ (f @ z) @ (f @ (suc @ z)))
% 0.91/0.75 | ~ (E @ (f @ z) @ (f @ (suc @ (suc @ z))))
% 0.91/0.75 | ~ (E @ (f @ z) @ (f @ (suc @ (suc @ (suc @ z))))))),
% 0.91/0.75 inference('demod', [status(thm)],
% 0.91/0.75 [zip_derived_cl228, zip_derived_cl164, zip_derived_cl169,
% 0.91/0.75 zip_derived_cl167, zip_derived_cl171])).
% 0.91/0.75 thf(zip_derived_cl232, plain,
% 0.91/0.75 ((~ (E @ 0 @ (f @ (suc @ z)))
% 0.91/0.75 | ~ (E @ 0 @ (f @ z))
% 0.91/0.75 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ (suc @ z))))))
% 0.91/0.75 | ~ (E @ (f @ z) @ (f @ (suc @ (suc @ z))))
% 0.91/0.75 | ~ (E @ (f @ z) @ (f @ (suc @ (suc @ (suc @ z))))))),
% 0.91/0.75 inference('s_sup-', [status(thm)], [zip_derived_cl183, zip_derived_cl229])).
% 0.91/0.75 thf(zip_derived_cl167, plain, ( (E @ 0 @ (f @ (suc @ z)))),
% 0.91/0.75 inference('s_sup-', [status(thm)], [zip_derived_cl166, zip_derived_cl6])).
% 0.91/0.75 thf(zip_derived_cl164, plain, ( (E @ 0 @ (f @ z))),
% 0.91/0.75 inference('s_sup-', [status(thm)], [zip_derived_cl163, zip_derived_cl6])).
% 0.91/0.75 thf(zip_derived_cl233, plain,
% 0.91/0.75 ((~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ (suc @ z))))))
% 0.91/0.75 | ~ (E @ (f @ z) @ (f @ (suc @ (suc @ z))))
% 0.91/0.75 | ~ (E @ (f @ z) @ (f @ (suc @ (suc @ (suc @ z))))))),
% 0.91/0.75 inference('demod', [status(thm)],
% 0.91/0.75 [zip_derived_cl232, zip_derived_cl167, zip_derived_cl164])).
% 0.91/0.75 thf(zip_derived_cl234, plain,
% 0.91/0.75 ((~ (E @ 0 @ (f @ (suc @ (suc @ z))))
% 0.91/0.75 | ~ (E @ 0 @ (f @ (suc @ z)))
% 0.91/0.75 | ~ (E @ 0 @ (f @ z))
% 0.91/0.75 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ (suc @ z))))))
% 0.91/0.75 | ~ (E @ (f @ z) @ (f @ (suc @ (suc @ (suc @ z))))))),
% 0.91/0.75 inference('s_sup-', [status(thm)], [zip_derived_cl194, zip_derived_cl233])).
% 0.91/0.75 thf(zip_derived_cl169, plain, ( (E @ 0 @ (f @ (suc @ (suc @ z))))),
% 0.91/0.75 inference('s_sup-', [status(thm)], [zip_derived_cl168, zip_derived_cl6])).
% 0.91/0.75 thf(zip_derived_cl167, plain, ( (E @ 0 @ (f @ (suc @ z)))),
% 0.91/0.75 inference('s_sup-', [status(thm)], [zip_derived_cl166, zip_derived_cl6])).
% 0.91/0.75 thf(zip_derived_cl164, plain, ( (E @ 0 @ (f @ z))),
% 0.91/0.75 inference('s_sup-', [status(thm)], [zip_derived_cl163, zip_derived_cl6])).
% 0.91/0.75 thf(zip_derived_cl235, plain,
% 0.91/0.75 ((~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ (suc @ z))))))
% 0.91/0.75 | ~ (E @ (f @ z) @ (f @ (suc @ (suc @ (suc @ z))))))),
% 0.91/0.75 inference('demod', [status(thm)],
% 0.91/0.75 [zip_derived_cl234, zip_derived_cl169, zip_derived_cl167,
% 0.91/0.75 zip_derived_cl164])).
% 0.91/0.75 thf(zip_derived_cl236, plain,
% 0.91/0.75 (( (LE @ (f @ z) @ 0) | ~ (E @ (f @ z) @ (f @ (suc @ (suc @ (suc @ z))))))),
% 0.91/0.75 inference('s_sup-', [status(thm)], [zip_derived_cl172, zip_derived_cl235])).
% 0.91/0.75 thf(zip_derived_cl6, plain, (~ (LE @ (f @ z) @ 0)),
% 0.91/0.75 inference('cnf', [status(esa)], [clause_716])).
% 0.91/0.75 thf(zip_derived_cl237, plain,
% 0.91/0.75 (~ (E @ (f @ z) @ (f @ (suc @ (suc @ (suc @ z)))))),
% 0.91/0.75 inference('demod', [status(thm)], [zip_derived_cl236, zip_derived_cl6])).
% 0.91/0.75 thf(zip_derived_cl240, plain,
% 0.91/0.75 ((~ (E @ 0 @ (f @ z))
% 0.91/0.75 | ~ (E @ 0 @ (f @ (suc @ (suc @ z))))
% 0.91/0.75 | ~ (E @ 0 @ (f @ (suc @ z)))
% 0.91/0.75 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ z))))))),
% 0.91/0.75 inference('s_sup-', [status(thm)], [zip_derived_cl207, zip_derived_cl237])).
% 0.91/0.75 thf(zip_derived_cl164, plain, ( (E @ 0 @ (f @ z))),
% 0.91/0.75 inference('s_sup-', [status(thm)], [zip_derived_cl163, zip_derived_cl6])).
% 0.91/0.75 thf(zip_derived_cl169, plain, ( (E @ 0 @ (f @ (suc @ (suc @ z))))),
% 0.91/0.75 inference('s_sup-', [status(thm)], [zip_derived_cl168, zip_derived_cl6])).
% 0.91/0.75 thf(zip_derived_cl167, plain, ( (E @ 0 @ (f @ (suc @ z)))),
% 0.91/0.75 inference('s_sup-', [status(thm)], [zip_derived_cl166, zip_derived_cl6])).
% 0.91/0.75 thf(zip_derived_cl171, plain, ( (E @ 0 @ (f @ (suc @ (suc @ (suc @ z)))))),
% 0.91/0.75 inference('s_sup-', [status(thm)], [zip_derived_cl170, zip_derived_cl6])).
% 0.91/0.75 thf(zip_derived_cl241, plain, ($false),
% 0.91/0.75 inference('demod', [status(thm)],
% 0.91/0.75 [zip_derived_cl240, zip_derived_cl164, zip_derived_cl169,
% 0.91/0.75 zip_derived_cl167, zip_derived_cl171])).
% 0.91/0.75
% 0.91/0.75 % SZS output end Refutation
% 0.91/0.75
% 0.91/0.75
% 0.91/0.75 % Terminating...
% 1.54/0.82 % Runner terminated.
% 1.54/0.83 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------