TSTP Solution File: SYO662-1 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYO662-1 : TPTP v8.1.2. Released v7.3.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.mV7qtflbua true
% Computer : n031.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 05:52:28 EDT 2023
% Result : Unsatisfiable 1.38s 0.96s
% Output : Refutation 1.38s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SYO662-1 : TPTP v8.1.2. Released v7.3.0.
% 0.12/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.mV7qtflbua true
% 0.14/0.35 % Computer : n031.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sat Aug 26 02:01:37 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.36 % Running in FO mode
% 0.21/0.65 % Total configuration time : 435
% 0.21/0.65 % Estimated wc time : 1092
% 0.21/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.70 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.76 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.76 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.76 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.77 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.10/0.77 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.34/0.81 % /export/starexec/sandbox/solver/bin/fo/fo1_lcnf.sh running for 50s
% 1.38/0.96 % Solved by fo/fo3_bce.sh.
% 1.38/0.96 % BCE start: 70
% 1.38/0.96 % BCE eliminated: 0
% 1.38/0.96 % PE start: 70
% 1.38/0.96 logic: neq
% 1.38/0.96 % PE eliminated: 0
% 1.38/0.96 % done 90 iterations in 0.177s
% 1.38/0.96 % SZS status Unsatisfiable for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.38/0.96 % SZS output start Refutation
% 1.38/0.96 thf(0_type, type, 0: $i).
% 1.38/0.96 thf(s_type, type, s: $i > $i).
% 1.38/0.96 thf(f_type, type, f: $i > $i).
% 1.38/0.96 thf(iLEQ_type, type, iLEQ: $i > $i > $o).
% 1.38/0.96 thf(LE_type, type, LE: $i > $i > $o).
% 1.38/0.96 thf(suc_type, type, suc: $i > $i).
% 1.38/0.96 thf(z_type, type, z: $i).
% 1.38/0.96 thf(E_type, type, E: $i > $i > $o).
% 1.38/0.96 thf(clause_543, axiom, (~( LE @ ( f @ z ) @ 0 ))).
% 1.38/0.96 thf(zip_derived_cl48, plain, (~ (LE @ (f @ z) @ 0)),
% 1.38/0.96 inference('cnf', [status(esa)], [clause_543])).
% 1.38/0.96 thf(clause_864, axiom,
% 1.38/0.96 (( ~( E @ 0 @ ( f @ ( suc @ ( suc @ B_18 ) ) ) ) ) |
% 1.38/0.96 ( ~( E @ 0 @ ( f @ ( suc @ A_2 ) ) ) ) |
% 1.38/0.96 ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ A_2 ) ) ) ) ) |
% 1.38/0.96 ( ~( E @ ( f @ A_2 ) @ ( f @ ( suc @ ( suc @ A_2 ) ) ) ) ) |
% 1.38/0.96 ( ~( E @ ( f @ B_19 ) @ ( f @ ( suc @ ( suc @ B_19 ) ) ) ) ) |
% 1.38/0.96 ( ~( E @ 0 @ ( f @ ( suc @ B_19 ) ) ) ) |
% 1.38/0.96 ( ~( iLEQ @ ( suc @ B_18 ) @ ( suc @ B_19 ) ) ) |
% 1.38/0.96 ( ~( E @ 0 @ ( f @ A_2 ) ) ) | ( ~( E @ 0 @ ( f @ B_19 ) ) ) |
% 1.38/0.96 ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ B_19 ) ) ) ) ) |
% 1.38/0.96 ( ~( E @ ( f @ B_18 ) @ ( f @ ( suc @ B_18 ) ) ) ) |
% 1.38/0.96 ( ~( E @ ( f @ B_18 ) @ ( f @ ( suc @ ( suc @ B_18 ) ) ) ) ) |
% 1.38/0.96 ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ ( suc @ B_18 ) ) ) ) ) ) |
% 1.38/0.96 ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ ( suc @ B_19 ) ) ) ) ) ) |
% 1.38/0.96 ( ~( E @ 0 @ ( f @ B_18 ) ) ) | ( ~( E @ 0 @ ( f @ ( suc @ B_18 ) ) ) ) |
% 1.38/0.96 ( ~( E @ ( f @ B_19 ) @ ( f @ ( suc @ B_19 ) ) ) ) |
% 1.38/0.96 ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ ( suc @ A_2 ) ) ) ) ) ) |
% 1.38/0.96 ( ~( iLEQ @ ( suc @ A_2 ) @ ( suc @ B_18 ) ) ) |
% 1.38/0.96 ( ~( E @ ( f @ A_2 ) @ ( f @ ( suc @ A_2 ) ) ) ))).
% 1.38/0.96 thf(zip_derived_cl20, plain,
% 1.38/0.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.38/0.96 (~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 1.38/0.96 | ~ (E @ 0 @ (f @ (suc @ X1)))
% 1.38/0.96 | ~ (E @ 0 @ (f @ (suc @ (suc @ X1))))
% 1.38/0.96 | ~ (E @ (f @ X1) @ (f @ (suc @ (suc @ X1))))
% 1.38/0.96 | ~ (E @ (f @ X2) @ (f @ (suc @ (suc @ X2))))
% 1.38/0.96 | ~ (E @ 0 @ (f @ (suc @ X2)))
% 1.38/0.96 | ~ (iLEQ @ (suc @ X0) @ (suc @ X2))
% 1.38/0.96 | ~ (E @ 0 @ (f @ X1))
% 1.38/0.96 | ~ (E @ 0 @ (f @ X2))
% 1.38/0.96 | ~ (E @ 0 @ (f @ (suc @ (suc @ X2))))
% 1.38/0.96 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.38/0.96 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 1.38/0.96 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0)))))
% 1.38/0.96 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X2)))))
% 1.38/0.96 | ~ (E @ 0 @ (f @ X0))
% 1.38/0.96 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 1.38/0.96 | ~ (E @ (f @ X2) @ (f @ (suc @ X2)))
% 1.38/0.96 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X1)))))
% 1.38/0.96 | ~ (iLEQ @ (suc @ X1) @ (suc @ X0))
% 1.38/0.96 | ~ (E @ (f @ X1) @ (f @ (suc @ X1))))),
% 1.38/0.96 inference('cnf', [status(esa)], [clause_864])).
% 1.38/0.96 thf(zip_derived_cl268, plain,
% 1.38/0.96 (![X0 : $i]:
% 1.38/0.96 (~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.38/0.96 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 1.38/0.96 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0)))))
% 1.38/0.96 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.38/0.96 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 1.38/0.96 | ~ (E @ 0 @ (f @ X0))
% 1.38/0.96 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0)))))
% 1.38/0.96 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0)))))
% 1.38/0.96 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 1.38/0.96 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.38/0.96 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 1.38/0.96 | ~ (E @ 0 @ (f @ X0))
% 1.38/0.96 | ~ (E @ 0 @ (f @ X0))
% 1.38/0.96 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 1.38/0.96 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 1.38/0.96 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 1.38/0.96 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 1.38/0.96 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 1.38/0.96 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0)))))),
% 1.38/0.96 inference('eq_fact', [status(thm)], [zip_derived_cl20])).
% 1.38/0.96 thf(zip_derived_cl269, plain,
% 1.38/0.96 (![X0 : $i]:
% 1.38/0.96 (~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 1.38/0.96 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 1.38/0.96 | ~ (E @ 0 @ (f @ X0))
% 1.38/0.96 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 1.38/0.96 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0)))))
% 1.38/0.96 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 1.38/0.96 | ~ (E @ (f @ X0) @ (f @ (suc @ X0))))),
% 1.38/0.96 inference('simplify', [status(thm)], [zip_derived_cl268])).
% 1.38/0.96 thf(clause_806, axiom,
% 1.38/0.96 (( ~( E @ 0 @ ( f @ ( suc @ ( suc @ B_18 ) ) ) ) ) |
% 1.38/0.96 ( ~( E @ 0 @ ( f @ ( suc @ A_2 ) ) ) ) |
% 1.38/0.96 ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ A_2 ) ) ) ) ) |
% 1.38/0.96 ( ~( E @ 0 @ ( f @ ( suc @ B_19 ) ) ) ) |
% 1.38/0.96 ( ~( iLEQ @ ( suc @ B_18 ) @ ( suc @ B_19 ) ) ) |
% 1.38/0.96 ( ~( E @ 0 @ ( f @ A_2 ) ) ) | ( ~( E @ 0 @ ( f @ B_19 ) ) ) |
% 1.38/0.96 ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ B_19 ) ) ) ) ) |
% 1.38/0.96 ( ~( E @ ( f @ B_18 ) @ ( f @ ( suc @ B_18 ) ) ) ) |
% 1.38/0.96 ( ~( E @ 0 @ ( f @ B_18 ) ) ) | ( ~( E @ 0 @ ( f @ ( suc @ B_18 ) ) ) ) |
% 1.38/0.96 ( ~( E @ ( f @ B_19 ) @ ( f @ ( suc @ B_19 ) ) ) ) |
% 1.38/0.96 ( ~( iLEQ @ ( suc @ A_2 ) @ ( suc @ B_18 ) ) ) |
% 1.38/0.96 ( ~( E @ ( f @ A_2 ) @ ( f @ ( suc @ A_2 ) ) ) ) |
% 1.38/0.96 ( E @ ( f @ A_2 ) @ ( f @ ( suc @ ( suc @ A_2 ) ) ) ) |
% 1.38/0.96 ( E @ ( f @ B_18 ) @ ( f @ ( suc @ ( suc @ B_18 ) ) ) ) |
% 1.38/0.96 ( E @ ( f @ B_19 ) @ ( f @ ( suc @ ( suc @ B_19 ) ) ) ))).
% 1.38/0.96 thf(zip_derived_cl49, plain,
% 1.38/0.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.38/0.96 (~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 1.38/0.96 | ~ (E @ 0 @ (f @ (suc @ X1)))
% 1.38/0.96 | ~ (E @ 0 @ (f @ (suc @ (suc @ X1))))
% 1.38/0.96 | ~ (E @ 0 @ (f @ (suc @ X2)))
% 1.38/0.96 | ~ (iLEQ @ (suc @ X0) @ (suc @ X2))
% 1.38/0.96 | ~ (E @ 0 @ (f @ X1))
% 1.38/0.96 | ~ (E @ 0 @ (f @ X2))
% 1.38/0.96 | ~ (E @ 0 @ (f @ (suc @ (suc @ X2))))
% 1.38/0.96 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.38/0.96 | ~ (E @ 0 @ (f @ X0))
% 1.38/0.96 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 1.38/0.96 | ~ (E @ (f @ X2) @ (f @ (suc @ X2)))
% 1.38/0.96 | ~ (iLEQ @ (suc @ X1) @ (suc @ X0))
% 1.38/0.96 | ~ (E @ (f @ X1) @ (f @ (suc @ X1)))
% 1.38/0.96 | (E @ (f @ X1) @ (f @ (suc @ (suc @ X1))))
% 1.38/0.96 | (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 1.38/0.96 | (E @ (f @ X2) @ (f @ (suc @ (suc @ X2)))))),
% 1.38/0.96 inference('cnf', [status(esa)], [clause_806])).
% 1.38/0.96 thf(zip_derived_cl261, plain,
% 1.38/0.96 (![X0 : $i]:
% 1.38/0.96 ( (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 1.38/0.96 | (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 1.38/0.96 | (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 1.38/0.96 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.38/0.96 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 1.38/0.96 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.38/0.96 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 1.38/0.96 | ~ (E @ 0 @ (f @ X0))
% 1.38/0.96 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.38/0.96 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 1.38/0.96 | ~ (E @ 0 @ (f @ X0))
% 1.38/0.96 | ~ (E @ 0 @ (f @ X0))
% 1.38/0.96 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 1.38/0.96 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 1.38/0.96 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 1.38/0.96 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0)))))),
% 1.38/0.96 inference('eq_fact', [status(thm)], [zip_derived_cl49])).
% 1.38/0.96 thf(zip_derived_cl262, plain,
% 1.38/0.96 (![X0 : $i]:
% 1.38/0.96 (~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 1.38/0.96 | ~ (E @ 0 @ (f @ X0))
% 1.38/0.96 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 1.38/0.96 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 1.38/0.96 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.38/0.96 | (E @ (f @ X0) @ (f @ (suc @ (suc @ X0)))))),
% 1.38/0.96 inference('simplify', [status(thm)], [zip_derived_cl261])).
% 1.38/0.96 thf(clause_27, axiom,
% 1.38/0.96 (( ~( E @ 0 @ ( f @ ( suc @ ( suc @ A_2 ) ) ) ) ) |
% 1.38/0.96 ( ~( E @ 0 @ ( f @ ( suc @ A_2 ) ) ) ) |
% 1.38/0.96 ( ~( E @ ( f @ A_2 ) @ ( f @ ( suc @ A_2 ) ) ) ) |
% 1.38/0.96 ( ~( E @ 0 @ ( f @ A_2 ) ) ) |
% 1.38/0.96 ( E @ ( f @ A_2 ) @ ( f @ ( suc @ ( suc @ A_2 ) ) ) ) |
% 1.38/0.96 ( iLEQ @ ( suc @ A_2 ) @ ( suc @ A_2 ) ))).
% 1.38/0.96 thf(zip_derived_cl27, plain,
% 1.38/0.96 (![X0 : $i]:
% 1.38/0.96 (~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 1.38/0.96 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 1.38/0.96 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.38/0.96 | ~ (E @ 0 @ (f @ X0))
% 1.38/0.96 | (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 1.38/0.96 | (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 1.38/0.96 inference('cnf', [status(esa)], [clause_27])).
% 1.38/0.96 thf(clause_613, axiom,
% 1.38/0.96 (( ~( E @ 0 @ ( f @ A_2 ) ) ) | ( ~( E @ 0 @ ( f @ ( suc @ A_2 ) ) ) ) |
% 1.38/0.96 ( E @ ( f @ A_2 ) @ ( f @ ( suc @ A_2 ) ) ) |
% 1.38/0.96 ( iLEQ @ ( suc @ A_2 ) @ ( suc @ A_2 ) ))).
% 1.38/0.96 thf(zip_derived_cl35, plain,
% 1.38/0.96 (![X0 : $i]:
% 1.38/0.96 (~ (E @ 0 @ (f @ X0))
% 1.38/0.96 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 1.38/0.96 | (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.38/0.96 | (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 1.38/0.96 inference('cnf', [status(esa)], [clause_613])).
% 1.38/0.96 thf(zip_derived_cl80, plain,
% 1.38/0.96 (![X0 : $i]:
% 1.38/0.96 ( (iLEQ @ (suc @ X0) @ (suc @ X0))
% 1.38/0.96 | (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 1.38/0.96 | ~ (E @ 0 @ (f @ X0))
% 1.38/0.96 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 1.38/0.96 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0)))))),
% 1.38/0.96 inference('clc', [status(thm)], [zip_derived_cl27, zip_derived_cl35])).
% 1.38/0.96 thf(zip_derived_cl265, plain,
% 1.38/0.96 (![X0 : $i]:
% 1.38/0.96 ( (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 1.38/0.96 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.38/0.96 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 1.38/0.96 | ~ (E @ 0 @ (f @ X0))
% 1.38/0.96 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0)))))),
% 1.38/0.96 inference('clc', [status(thm)], [zip_derived_cl262, zip_derived_cl80])).
% 1.38/0.96 thf(clause_105, axiom,
% 1.38/0.96 (( ~( E @ 0 @ ( f @ ( suc @ A_2 ) ) ) ) |
% 1.38/0.96 ( ~( E @ 0 @ ( f @ ( suc @ B_19 ) ) ) ) |
% 1.38/0.96 ( ~( iLEQ @ ( suc @ B_18 ) @ ( suc @ B_19 ) ) ) |
% 1.38/0.96 ( ~( E @ 0 @ ( f @ A_2 ) ) ) | ( ~( E @ 0 @ ( f @ B_19 ) ) ) |
% 1.38/0.96 ( ~( E @ 0 @ ( f @ B_18 ) ) ) | ( ~( E @ 0 @ ( f @ ( suc @ B_18 ) ) ) ) |
% 1.38/0.96 ( ~( iLEQ @ ( suc @ A_2 ) @ ( suc @ B_18 ) ) ) |
% 1.38/0.96 ( E @ ( f @ A_2 ) @ ( f @ ( suc @ A_2 ) ) ) |
% 1.38/0.96 ( E @ ( f @ B_18 ) @ ( f @ ( suc @ B_18 ) ) ) |
% 1.38/0.96 ( E @ ( f @ B_19 ) @ ( f @ ( suc @ B_19 ) ) ))).
% 1.38/0.96 thf(zip_derived_cl22, plain,
% 1.38/0.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.38/0.96 (~ (E @ 0 @ (f @ (suc @ X0)))
% 1.38/0.96 | ~ (E @ 0 @ (f @ (suc @ X1)))
% 1.38/0.96 | ~ (iLEQ @ (suc @ X2) @ (suc @ X1))
% 1.38/0.96 | ~ (E @ 0 @ (f @ X0))
% 1.38/0.96 | ~ (E @ 0 @ (f @ X1))
% 1.38/0.96 | ~ (E @ 0 @ (f @ X2))
% 1.38/0.96 | ~ (E @ 0 @ (f @ (suc @ X2)))
% 1.38/0.96 | ~ (iLEQ @ (suc @ X0) @ (suc @ X2))
% 1.38/0.96 | (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.38/0.96 | (E @ (f @ X2) @ (f @ (suc @ X2)))
% 1.38/0.96 | (E @ (f @ X1) @ (f @ (suc @ X1))))),
% 1.38/0.96 inference('cnf', [status(esa)], [clause_105])).
% 1.38/0.96 thf(zip_derived_cl114, plain,
% 1.38/0.96 (![X0 : $i]:
% 1.38/0.96 ( (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.38/0.96 | (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.38/0.96 | (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.38/0.96 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 1.38/0.96 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 1.38/0.96 | ~ (E @ 0 @ (f @ X0))
% 1.38/0.96 | ~ (E @ 0 @ (f @ X0))
% 1.38/0.96 | ~ (E @ 0 @ (f @ X0))
% 1.38/0.96 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 1.38/0.96 | ~ (E @ 0 @ (f @ (suc @ X0))))),
% 1.38/0.96 inference('eq_fact', [status(thm)], [zip_derived_cl22])).
% 1.38/0.96 thf(zip_derived_cl115, plain,
% 1.38/0.96 (![X0 : $i]:
% 1.38/0.96 (~ (E @ 0 @ (f @ X0))
% 1.38/0.96 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 1.38/0.96 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 1.38/0.96 | (E @ (f @ X0) @ (f @ (suc @ X0))))),
% 1.38/0.96 inference('simplify', [status(thm)], [zip_derived_cl114])).
% 1.38/0.96 thf(zip_derived_cl35, plain,
% 1.38/0.96 (![X0 : $i]:
% 1.38/0.96 (~ (E @ 0 @ (f @ X0))
% 1.38/0.96 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 1.38/0.96 | (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.38/0.96 | (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 1.38/0.96 inference('cnf', [status(esa)], [clause_613])).
% 1.38/0.96 thf(zip_derived_cl178, plain,
% 1.38/0.96 (![X0 : $i]:
% 1.38/0.96 ( (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.38/0.96 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 1.38/0.96 | ~ (E @ 0 @ (f @ X0)))),
% 1.38/0.96 inference('clc', [status(thm)], [zip_derived_cl115, zip_derived_cl35])).
% 1.38/0.96 thf(zip_derived_cl266, plain,
% 1.38/0.96 (![X0 : $i]:
% 1.38/0.96 (~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 1.38/0.96 | ~ (E @ 0 @ (f @ X0))
% 1.38/0.96 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 1.38/0.96 | (E @ (f @ X0) @ (f @ (suc @ (suc @ X0)))))),
% 1.38/0.96 inference('clc', [status(thm)], [zip_derived_cl265, zip_derived_cl178])).
% 1.38/0.96 thf(zip_derived_cl275, plain,
% 1.38/0.96 (![X0 : $i]:
% 1.38/0.96 (~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.38/0.96 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 1.38/0.96 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0)))))
% 1.38/0.96 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 1.38/0.96 | ~ (E @ 0 @ (f @ X0))
% 1.38/0.96 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0)))))),
% 1.38/0.96 inference('clc', [status(thm)], [zip_derived_cl269, zip_derived_cl266])).
% 1.38/0.96 thf(zip_derived_cl178, plain,
% 1.38/0.96 (![X0 : $i]:
% 1.38/0.96 ( (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.38/0.96 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 1.38/0.96 | ~ (E @ 0 @ (f @ X0)))),
% 1.38/0.96 inference('clc', [status(thm)], [zip_derived_cl115, zip_derived_cl35])).
% 1.38/0.96 thf(zip_derived_cl276, plain,
% 1.38/0.96 (![X0 : $i]:
% 1.38/0.96 (~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 1.38/0.96 | ~ (E @ 0 @ (f @ X0))
% 1.38/0.96 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 1.38/0.96 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0)))))
% 1.38/0.96 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 1.38/0.96 inference('clc', [status(thm)], [zip_derived_cl275, zip_derived_cl178])).
% 1.38/0.96 thf(clause_915, axiom,
% 1.38/0.96 (( ~( E @ 0 @ ( f @ ( suc @ A_2 ) ) ) ) |
% 1.38/0.96 ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ A_2 ) ) ) ) ) |
% 1.38/0.96 ( ~( E @ ( f @ A_2 ) @ ( f @ ( suc @ ( suc @ A_2 ) ) ) ) ) |
% 1.38/0.96 ( ~( E @ 0 @ ( f @ A_2 ) ) ) |
% 1.38/0.96 ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ ( suc @ A_2 ) ) ) ) ) ) |
% 1.38/0.96 ( ~( E @ ( f @ A_2 ) @ ( f @ ( suc @ A_2 ) ) ) ) |
% 1.38/0.96 ( iLEQ @ ( suc @ A_2 ) @ ( suc @ A_2 ) ))).
% 1.38/0.96 thf(zip_derived_cl16, plain,
% 1.38/0.96 (![X0 : $i]:
% 1.38/0.96 (~ (E @ 0 @ (f @ (suc @ X0)))
% 1.38/0.96 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 1.38/0.96 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 1.38/0.96 | ~ (E @ 0 @ (f @ X0))
% 1.38/0.96 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0)))))
% 1.38/0.96 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.38/0.96 | (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 1.38/0.96 inference('cnf', [status(esa)], [clause_915])).
% 1.38/0.96 thf(zip_derived_cl80, plain,
% 1.38/0.96 (![X0 : $i]:
% 1.38/0.96 ( (iLEQ @ (suc @ X0) @ (suc @ X0))
% 1.38/0.96 | (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 1.38/0.96 | ~ (E @ 0 @ (f @ X0))
% 1.38/0.96 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 1.38/0.96 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0)))))),
% 1.38/0.96 inference('clc', [status(thm)], [zip_derived_cl27, zip_derived_cl35])).
% 1.38/0.96 thf(zip_derived_cl86, plain,
% 1.38/0.96 (![X0 : $i]:
% 1.38/0.96 ( (iLEQ @ (suc @ X0) @ (suc @ X0))
% 1.38/0.96 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.38/0.96 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0)))))
% 1.38/0.96 | ~ (E @ 0 @ (f @ X0))
% 1.38/0.96 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 1.38/0.96 | ~ (E @ 0 @ (f @ (suc @ X0))))),
% 1.38/0.96 inference('clc', [status(thm)], [zip_derived_cl16, zip_derived_cl80])).
% 1.38/0.96 thf(zip_derived_cl35, plain,
% 1.38/0.96 (![X0 : $i]:
% 1.38/0.96 (~ (E @ 0 @ (f @ X0))
% 1.38/0.96 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 1.38/0.96 | (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.38/0.96 | (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 1.38/0.96 inference('cnf', [status(esa)], [clause_613])).
% 1.38/0.96 thf(zip_derived_cl87, plain,
% 1.38/0.96 (![X0 : $i]:
% 1.38/0.96 (~ (E @ 0 @ (f @ (suc @ X0)))
% 1.38/0.96 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 1.38/0.96 | ~ (E @ 0 @ (f @ X0))
% 1.38/0.96 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0)))))
% 1.38/0.96 | (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 1.38/0.96 inference('clc', [status(thm)], [zip_derived_cl86, zip_derived_cl35])).
% 1.38/0.96 thf(zip_derived_cl277, plain,
% 1.38/0.96 (![X0 : $i]:
% 1.38/0.96 (~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0)))))
% 1.38/0.96 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 1.38/0.96 | ~ (E @ 0 @ (f @ X0))
% 1.38/0.96 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0)))))),
% 1.38/0.96 inference('clc', [status(thm)], [zip_derived_cl276, zip_derived_cl87])).
% 1.38/0.96 thf(clause_1145, axiom,
% 1.38/0.96 (( ~( LE @ ( f @ ( suc @ ( suc @ ( suc @ B_17 ) ) ) ) @ ( s @ 0 ) ) ) |
% 1.38/0.96 ( E @ 0 @ ( f @ ( suc @ ( suc @ ( suc @ B_17 ) ) ) ) ) |
% 1.38/0.96 ( LE @ ( f @ B_17 ) @ 0 ))).
% 1.38/0.96 thf(zip_derived_cl34, plain,
% 1.38/0.96 (![X0 : $i]:
% 1.38/0.96 (~ (LE @ (f @ (suc @ (suc @ (suc @ X0)))) @ (s @ 0))
% 1.38/0.96 | (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0)))))
% 1.38/0.96 | (LE @ (f @ X0) @ 0))),
% 1.38/0.96 inference('cnf', [status(esa)], [clause_1145])).
% 1.38/0.96 thf(clause_722, axiom,
% 1.38/0.96 (( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ B_11 ) ) ) ) |
% 1.38/0.96 ( ~( E @ ( s @ 0 ) @ ( f @ B_12 ) ) ) |
% 1.38/0.96 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ ( suc @ A_1 ) ) ) ) ) |
% 1.38/0.96 ( ~( E @ ( s @ 0 ) @ ( f @ A_1 ) ) ) |
% 1.38/0.96 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ B_12 ) ) ) ) |
% 1.38/0.96 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ A_1 ) ) ) ) |
% 1.38/0.96 ( ~( E @ ( f @ B_11 ) @ ( f @ ( suc @ ( suc @ B_11 ) ) ) ) ) |
% 1.38/0.96 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ ( suc @ B_12 ) ) ) ) ) |
% 1.38/0.96 ( ~( E @ ( f @ B_12 ) @ ( f @ ( suc @ ( suc @ B_12 ) ) ) ) ) |
% 1.38/0.96 ( ~( E @ ( f @ A_1 ) @ ( f @ ( suc @ ( suc @ A_1 ) ) ) ) ) |
% 1.38/0.96 ( ~( E @ ( f @ B_12 ) @ ( f @ ( suc @ B_12 ) ) ) ) |
% 1.38/0.96 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ ( suc @ ( suc @ B_11 ) ) ) ) ) ) |
% 1.38/0.96 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ ( suc @ ( suc @ B_12 ) ) ) ) ) ) |
% 1.38/0.96 ( ~( E @ ( f @ A_1 ) @ ( f @ ( suc @ A_1 ) ) ) ) |
% 1.38/0.96 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ ( suc @ B_11 ) ) ) ) ) |
% 1.38/0.96 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ ( suc @ ( suc @ A_1 ) ) ) ) ) ) |
% 1.38/0.96 ( ~( E @ ( s @ 0 ) @ ( f @ B_11 ) ) ) |
% 1.38/0.96 ( ~( E @ ( f @ B_11 ) @ ( f @ ( suc @ B_11 ) ) ) ) |
% 1.38/0.96 ( ~( iLEQ @ ( suc @ A_1 ) @ ( suc @ B_11 ) ) ) |
% 1.38/0.96 ( ~( iLEQ @ ( suc @ B_11 ) @ ( suc @ B_12 ) ) ))).
% 1.38/0.96 thf(zip_derived_cl14, plain,
% 1.38/0.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.38/0.96 (~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 1.38/0.96 | ~ (E @ (s @ 0) @ (f @ X1))
% 1.38/0.96 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X2))))
% 1.38/0.96 | ~ (E @ (s @ 0) @ (f @ X2))
% 1.38/0.96 | ~ (E @ (s @ 0) @ (f @ (suc @ X1)))
% 1.38/0.96 | ~ (E @ (s @ 0) @ (f @ (suc @ X2)))
% 1.38/0.96 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 1.38/0.96 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X1))))
% 1.38/0.96 | ~ (E @ (f @ X1) @ (f @ (suc @ (suc @ X1))))
% 1.38/0.96 | ~ (E @ (f @ X2) @ (f @ (suc @ (suc @ X2))))
% 1.38/0.96 | ~ (E @ (f @ X1) @ (f @ (suc @ X1)))
% 1.38/0.96 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 1.38/0.96 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ X1)))))
% 1.38/0.96 | ~ (E @ (f @ X2) @ (f @ (suc @ X2)))
% 1.38/0.96 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 1.38/0.96 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ X2)))))
% 1.38/0.96 | ~ (E @ (s @ 0) @ (f @ X0))
% 1.38/0.96 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.38/0.96 | ~ (iLEQ @ (suc @ X2) @ (suc @ X0))
% 1.38/0.96 | ~ (iLEQ @ (suc @ X0) @ (suc @ X1)))),
% 1.38/0.96 inference('cnf', [status(esa)], [clause_722])).
% 1.38/0.96 thf(zip_derived_cl230, plain,
% 1.38/0.96 (![X0 : $i]:
% 1.38/0.96 (~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 1.38/0.96 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.38/0.96 | ~ (E @ (s @ 0) @ (f @ X0))
% 1.38/0.96 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 1.38/0.96 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 1.38/0.96 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.38/0.96 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 1.38/0.96 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 1.38/0.96 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.38/0.96 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 1.38/0.96 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 1.38/0.96 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 1.38/0.96 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 1.38/0.96 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 1.38/0.96 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 1.38/0.96 | ~ (E @ (s @ 0) @ (f @ X0))
% 1.38/0.96 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 1.38/0.96 | ~ (E @ (s @ 0) @ (f @ X0))
% 1.38/0.96 | ~ (E @ (s @ 0) @ (f @ (suc @ X0))))),
% 1.38/0.96 inference('eq_fact', [status(thm)], [zip_derived_cl14])).
% 1.38/0.96 thf(zip_derived_cl231, plain,
% 1.38/0.96 (![X0 : $i]:
% 1.38/0.96 (~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 1.38/0.96 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 1.38/0.96 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 1.38/0.96 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 1.38/0.96 | ~ (E @ (s @ 0) @ (f @ X0))
% 1.38/0.96 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.38/0.96 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 1.38/0.96 inference('simplify', [status(thm)], [zip_derived_cl230])).
% 1.38/0.96 thf(clause_592, axiom,
% 1.38/0.96 (( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ B_11 ) ) ) ) |
% 1.38/0.96 ( ~( E @ ( s @ 0 ) @ ( f @ B_12 ) ) ) |
% 1.38/0.96 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ ( suc @ A_1 ) ) ) ) ) |
% 1.38/0.96 ( ~( E @ ( s @ 0 ) @ ( f @ A_1 ) ) ) |
% 1.38/0.96 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ B_12 ) ) ) ) |
% 1.38/0.96 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ A_1 ) ) ) ) |
% 1.38/0.96 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ ( suc @ B_12 ) ) ) ) ) |
% 1.38/0.96 ( ~( E @ ( f @ B_12 ) @ ( f @ ( suc @ B_12 ) ) ) ) |
% 1.38/0.96 ( ~( E @ ( f @ A_1 ) @ ( f @ ( suc @ A_1 ) ) ) ) |
% 1.38/0.96 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ ( suc @ B_11 ) ) ) ) ) |
% 1.38/0.96 ( ~( E @ ( s @ 0 ) @ ( f @ B_11 ) ) ) |
% 1.38/0.96 ( ~( E @ ( f @ B_11 ) @ ( f @ ( suc @ B_11 ) ) ) ) |
% 1.38/0.96 ( ~( iLEQ @ ( suc @ A_1 ) @ ( suc @ B_11 ) ) ) |
% 1.38/0.96 ( ~( iLEQ @ ( suc @ B_11 ) @ ( suc @ B_12 ) ) ) |
% 1.38/0.96 ( E @ ( f @ A_1 ) @ ( f @ ( suc @ ( suc @ A_1 ) ) ) ) |
% 1.38/0.96 ( E @ ( f @ B_11 ) @ ( f @ ( suc @ ( suc @ B_11 ) ) ) ) |
% 1.38/0.96 ( E @ ( f @ B_12 ) @ ( f @ ( suc @ ( suc @ B_12 ) ) ) ))).
% 1.38/0.96 thf(zip_derived_cl4, plain,
% 1.38/0.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.38/0.96 (~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 1.38/0.96 | ~ (E @ (s @ 0) @ (f @ X1))
% 1.38/0.96 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X2))))
% 1.38/0.96 | ~ (E @ (s @ 0) @ (f @ X2))
% 1.38/0.96 | ~ (E @ (s @ 0) @ (f @ (suc @ X1)))
% 1.38/0.96 | ~ (E @ (s @ 0) @ (f @ (suc @ X2)))
% 1.38/0.96 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X1))))
% 1.38/0.96 | ~ (E @ (f @ X1) @ (f @ (suc @ X1)))
% 1.38/0.96 | ~ (E @ (f @ X2) @ (f @ (suc @ X2)))
% 1.38/0.96 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 1.38/0.96 | ~ (E @ (s @ 0) @ (f @ X0))
% 1.38/0.96 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.38/0.96 | ~ (iLEQ @ (suc @ X2) @ (suc @ X0))
% 1.38/0.96 | ~ (iLEQ @ (suc @ X0) @ (suc @ X1))
% 1.38/0.96 | (E @ (f @ X2) @ (f @ (suc @ (suc @ X2))))
% 1.38/0.96 | (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 1.38/0.96 | (E @ (f @ X1) @ (f @ (suc @ (suc @ X1)))))),
% 1.38/0.96 inference('cnf', [status(esa)], [clause_592])).
% 1.38/0.96 thf(zip_derived_cl198, plain,
% 1.38/0.96 (![X0 : $i]:
% 1.38/0.96 ( (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 1.38/0.96 | (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 1.38/0.96 | (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 1.38/0.96 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 1.38/0.96 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.38/0.96 | ~ (E @ (s @ 0) @ (f @ X0))
% 1.38/0.96 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 1.38/0.96 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.38/0.96 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.38/0.96 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 1.38/0.96 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 1.38/0.96 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 1.38/0.96 | ~ (E @ (s @ 0) @ (f @ X0))
% 1.38/0.96 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 1.38/0.96 | ~ (E @ (s @ 0) @ (f @ X0))
% 1.38/0.96 | ~ (E @ (s @ 0) @ (f @ (suc @ X0))))),
% 1.38/0.96 inference('eq_fact', [status(thm)], [zip_derived_cl4])).
% 1.38/0.96 thf(zip_derived_cl199, plain,
% 1.38/0.96 (![X0 : $i]:
% 1.38/0.96 (~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 1.38/0.96 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 1.38/0.96 | ~ (E @ (s @ 0) @ (f @ X0))
% 1.38/0.96 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.38/0.96 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 1.38/0.96 | (E @ (f @ X0) @ (f @ (suc @ (suc @ X0)))))),
% 1.38/0.96 inference('simplify', [status(thm)], [zip_derived_cl198])).
% 1.38/0.96 thf(clause_597, axiom,
% 1.38/0.96 (( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ B_11 ) ) ) ) |
% 1.38/0.96 ( ~( E @ ( s @ 0 ) @ ( f @ B_12 ) ) ) |
% 1.38/0.96 ( ~( E @ ( s @ 0 ) @ ( f @ A_1 ) ) ) |
% 1.38/0.96 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ B_12 ) ) ) ) |
% 1.38/0.96 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ A_1 ) ) ) ) |
% 1.38/0.96 ( ~( E @ ( s @ 0 ) @ ( f @ B_11 ) ) ) |
% 1.38/0.96 ( ~( iLEQ @ ( suc @ A_1 ) @ ( suc @ B_11 ) ) ) |
% 1.38/0.96 ( ~( iLEQ @ ( suc @ B_11 ) @ ( suc @ B_12 ) ) ) |
% 1.38/0.96 ( E @ ( f @ A_1 ) @ ( f @ ( suc @ A_1 ) ) ) |
% 1.38/0.96 ( E @ ( f @ B_11 ) @ ( f @ ( suc @ B_11 ) ) ) |
% 1.38/0.96 ( E @ ( f @ B_12 ) @ ( f @ ( suc @ B_12 ) ) ))).
% 1.38/0.96 thf(zip_derived_cl39, plain,
% 1.38/0.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.38/0.96 (~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 1.38/0.96 | ~ (E @ (s @ 0) @ (f @ X1))
% 1.38/0.96 | ~ (E @ (s @ 0) @ (f @ X2))
% 1.38/0.96 | ~ (E @ (s @ 0) @ (f @ (suc @ X1)))
% 1.38/0.96 | ~ (E @ (s @ 0) @ (f @ (suc @ X2)))
% 1.38/0.96 | ~ (E @ (s @ 0) @ (f @ X0))
% 1.38/0.96 | ~ (iLEQ @ (suc @ X2) @ (suc @ X0))
% 1.38/0.96 | ~ (iLEQ @ (suc @ X0) @ (suc @ X1))
% 1.38/0.96 | (E @ (f @ X2) @ (f @ (suc @ X2)))
% 1.38/0.96 | (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.38/0.96 | (E @ (f @ X1) @ (f @ (suc @ X1))))),
% 1.38/0.96 inference('cnf', [status(esa)], [clause_597])).
% 1.38/0.96 thf(zip_derived_cl128, plain,
% 1.38/0.96 (![X0 : $i]:
% 1.38/0.96 ( (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.38/0.96 | (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.38/0.96 | (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.38/0.96 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 1.38/0.96 | ~ (E @ (s @ 0) @ (f @ X0))
% 1.38/0.96 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 1.38/0.96 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 1.38/0.96 | ~ (E @ (s @ 0) @ (f @ X0))
% 1.38/0.96 | ~ (E @ (s @ 0) @ (f @ X0))
% 1.38/0.96 | ~ (E @ (s @ 0) @ (f @ (suc @ X0))))),
% 1.38/0.96 inference('eq_fact', [status(thm)], [zip_derived_cl39])).
% 1.38/0.96 thf(zip_derived_cl129, plain,
% 1.38/0.96 (![X0 : $i]:
% 1.38/0.96 (~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 1.38/0.96 | ~ (E @ (s @ 0) @ (f @ X0))
% 1.38/0.96 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 1.38/0.96 | (E @ (f @ X0) @ (f @ (suc @ X0))))),
% 1.38/0.96 inference('simplify', [status(thm)], [zip_derived_cl128])).
% 1.38/0.96 thf(clause_494, axiom,
% 1.38/0.96 (( ~( E @ ( s @ 0 ) @ ( f @ A_1 ) ) ) |
% 1.38/0.96 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ A_1 ) ) ) ) |
% 1.38/0.96 ( E @ ( f @ A_1 ) @ ( f @ ( suc @ A_1 ) ) ) |
% 1.38/0.96 ( iLEQ @ ( suc @ A_1 ) @ ( suc @ A_1 ) ))).
% 1.38/0.96 thf(zip_derived_cl15, plain,
% 1.38/0.96 (![X0 : $i]:
% 1.38/0.96 (~ (E @ (s @ 0) @ (f @ X0))
% 1.38/0.96 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 1.38/0.96 | (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.38/0.96 | (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 1.38/0.96 inference('cnf', [status(esa)], [clause_494])).
% 1.38/0.96 thf(zip_derived_cl179, plain,
% 1.38/0.96 (![X0 : $i]:
% 1.38/0.96 ( (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.38/0.96 | ~ (E @ (s @ 0) @ (f @ X0))
% 1.38/0.96 | ~ (E @ (s @ 0) @ (f @ (suc @ X0))))),
% 1.38/0.96 inference('clc', [status(thm)], [zip_derived_cl129, zip_derived_cl15])).
% 1.38/0.96 thf(zip_derived_cl204, plain,
% 1.38/0.96 (![X0 : $i]:
% 1.38/0.96 ( (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 1.38/0.96 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 1.38/0.96 | ~ (E @ (s @ 0) @ (f @ X0))
% 1.38/0.96 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 1.38/0.96 | ~ (E @ (s @ 0) @ (f @ (suc @ X0))))),
% 1.38/0.96 inference('clc', [status(thm)], [zip_derived_cl199, zip_derived_cl179])).
% 1.38/0.96 thf(clause_110, axiom,
% 1.38/0.96 (( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ ( suc @ A_1 ) ) ) ) ) |
% 1.38/0.96 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ A_1 ) ) ) ) |
% 1.38/0.96 ( ~( E @ ( f @ A_1 ) @ ( f @ ( suc @ A_1 ) ) ) ) |
% 1.38/0.96 ( ~( E @ ( s @ 0 ) @ ( f @ A_1 ) ) ) |
% 1.38/0.96 ( E @ ( f @ A_1 ) @ ( f @ ( suc @ ( suc @ A_1 ) ) ) ) |
% 1.38/0.96 ( iLEQ @ ( suc @ A_1 ) @ ( suc @ A_1 ) ))).
% 1.38/0.96 thf(zip_derived_cl17, plain,
% 1.38/0.96 (![X0 : $i]:
% 1.38/0.96 (~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 1.38/0.96 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 1.38/0.96 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.38/0.96 | ~ (E @ (s @ 0) @ (f @ X0))
% 1.38/0.96 | (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 1.38/0.96 | (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 1.38/0.96 inference('cnf', [status(esa)], [clause_110])).
% 1.38/0.96 thf(zip_derived_cl15, plain,
% 1.38/0.96 (![X0 : $i]:
% 1.38/0.96 (~ (E @ (s @ 0) @ (f @ X0))
% 1.38/0.96 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 1.38/0.96 | (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.38/0.96 | (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 1.38/0.96 inference('cnf', [status(esa)], [clause_494])).
% 1.38/0.96 thf(zip_derived_cl83, plain,
% 1.38/0.96 (![X0 : $i]:
% 1.38/0.96 ( (iLEQ @ (suc @ X0) @ (suc @ X0))
% 1.38/0.96 | (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 1.38/0.96 | ~ (E @ (s @ 0) @ (f @ X0))
% 1.38/0.96 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 1.38/0.96 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0)))))),
% 1.38/0.96 inference('clc', [status(thm)], [zip_derived_cl17, zip_derived_cl15])).
% 1.38/0.96 thf(zip_derived_cl205, plain,
% 1.38/0.96 (![X0 : $i]:
% 1.38/0.96 (~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 1.38/0.96 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 1.38/0.96 | ~ (E @ (s @ 0) @ (f @ X0))
% 1.38/0.96 | (E @ (f @ X0) @ (f @ (suc @ (suc @ X0)))))),
% 1.38/0.96 inference('clc', [status(thm)], [zip_derived_cl204, zip_derived_cl83])).
% 1.38/0.96 thf(zip_derived_cl241, plain,
% 1.38/0.96 (![X0 : $i]:
% 1.38/0.96 (~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 1.38/0.96 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.38/0.96 | ~ (E @ (s @ 0) @ (f @ X0))
% 1.38/0.96 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 1.38/0.96 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 1.38/0.96 | ~ (E @ (s @ 0) @ (f @ (suc @ X0))))),
% 1.38/0.96 inference('clc', [status(thm)], [zip_derived_cl231, zip_derived_cl205])).
% 1.38/0.96 thf(clause_871, axiom,
% 1.38/0.96 (( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ ( suc @ A_1 ) ) ) ) ) |
% 1.38/0.96 ( ~( E @ ( s @ 0 ) @ ( f @ A_1 ) ) ) |
% 1.38/0.96 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ A_1 ) ) ) ) |
% 1.38/0.96 ( ~( E @ ( f @ A_1 ) @ ( f @ ( suc @ ( suc @ A_1 ) ) ) ) ) |
% 1.38/0.96 ( ~( E @ ( f @ A_1 ) @ ( f @ ( suc @ A_1 ) ) ) ) |
% 1.38/0.96 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ ( suc @ ( suc @ A_1 ) ) ) ) ) ) |
% 1.38/0.96 ( iLEQ @ ( suc @ A_1 ) @ ( suc @ A_1 ) ))).
% 1.38/0.96 thf(zip_derived_cl37, plain,
% 1.38/0.96 (![X0 : $i]:
% 1.38/0.96 (~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 1.38/0.96 | ~ (E @ (s @ 0) @ (f @ X0))
% 1.38/0.96 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 1.38/0.96 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 1.38/0.96 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.38/0.96 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 1.38/0.96 | (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 1.38/0.96 inference('cnf', [status(esa)], [clause_871])).
% 1.38/0.96 thf(zip_derived_cl83, plain,
% 1.38/0.96 (![X0 : $i]:
% 1.38/0.96 ( (iLEQ @ (suc @ X0) @ (suc @ X0))
% 1.38/0.96 | (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 1.38/0.96 | ~ (E @ (s @ 0) @ (f @ X0))
% 1.38/0.96 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 1.38/0.96 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0)))))),
% 1.38/0.96 inference('clc', [status(thm)], [zip_derived_cl17, zip_derived_cl15])).
% 1.38/0.96 thf(zip_derived_cl102, plain,
% 1.38/0.96 (![X0 : $i]:
% 1.38/0.96 ( (iLEQ @ (suc @ X0) @ (suc @ X0))
% 1.38/0.96 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 1.38/0.96 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.38/0.96 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 1.38/0.96 | ~ (E @ (s @ 0) @ (f @ X0))
% 1.38/0.96 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0)))))),
% 1.38/0.96 inference('clc', [status(thm)], [zip_derived_cl37, zip_derived_cl83])).
% 1.38/0.96 thf(zip_derived_cl15, plain,
% 1.38/0.96 (![X0 : $i]:
% 1.38/0.96 (~ (E @ (s @ 0) @ (f @ X0))
% 1.38/0.96 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 1.38/0.96 | (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.38/0.96 | (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 1.38/0.96 inference('cnf', [status(esa)], [clause_494])).
% 1.38/0.96 thf(zip_derived_cl103, plain,
% 1.38/0.96 (![X0 : $i]:
% 1.38/0.96 (~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 1.38/0.96 | ~ (E @ (s @ 0) @ (f @ X0))
% 1.38/0.96 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 1.38/0.96 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 1.38/0.96 | (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 1.38/0.96 inference('clc', [status(thm)], [zip_derived_cl102, zip_derived_cl15])).
% 1.38/0.96 thf(zip_derived_cl242, plain,
% 1.38/0.96 (![X0 : $i]:
% 1.38/0.96 (~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 1.38/0.96 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 1.38/0.96 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 1.38/0.96 | ~ (E @ (s @ 0) @ (f @ X0))
% 1.38/0.96 | ~ (E @ (f @ X0) @ (f @ (suc @ X0))))),
% 1.38/0.96 inference('clc', [status(thm)], [zip_derived_cl241, zip_derived_cl103])).
% 1.38/0.96 thf(zip_derived_cl179, plain,
% 1.38/0.96 (![X0 : $i]:
% 1.38/0.96 ( (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.38/0.96 | ~ (E @ (s @ 0) @ (f @ X0))
% 1.38/0.96 | ~ (E @ (s @ 0) @ (f @ (suc @ X0))))),
% 1.38/0.96 inference('clc', [status(thm)], [zip_derived_cl129, zip_derived_cl15])).
% 1.38/0.96 thf(zip_derived_cl243, plain,
% 1.38/0.96 (![X0 : $i]:
% 1.38/0.96 (~ (E @ (s @ 0) @ (f @ X0))
% 1.38/0.96 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 1.38/0.96 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 1.38/0.96 | ~ (E @ (s @ 0) @ (f @ (suc @ X0))))),
% 1.38/0.96 inference('clc', [status(thm)], [zip_derived_cl242, zip_derived_cl179])).
% 1.38/0.96 thf(clause_452, axiom,
% 1.38/0.96 (( ~( LE @ ( f @ ( suc @ ( suc @ ( suc @ B_10 ) ) ) ) @ ( s @ ( s @ 0 ) ) ) ) |
% 1.38/0.96 ( E @ ( s @ 0 ) @ ( f @ ( suc @ ( suc @ ( suc @ B_10 ) ) ) ) ) |
% 1.38/0.96 ( LE @ ( f @ B_10 ) @ ( s @ 0 ) ))).
% 1.38/0.96 thf(zip_derived_cl41, plain,
% 1.38/0.96 (![X0 : $i]:
% 1.38/0.96 (~ (LE @ (f @ (suc @ (suc @ (suc @ X0)))) @ (s @ (s @ 0)))
% 1.38/0.96 | (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 1.38/0.96 | (LE @ (f @ X0) @ (s @ 0)))),
% 1.38/0.96 inference('cnf', [status(esa)], [clause_452])).
% 1.38/0.96 thf(clause_410, axiom, (LE @ ( f @ A ) @ ( s @ ( s @ 0 ) ))).
% 1.38/0.96 thf(zip_derived_cl59, plain, (![X0 : $i]: (LE @ (f @ X0) @ (s @ (s @ 0)))),
% 1.38/0.96 inference('cnf', [status(esa)], [clause_410])).
% 1.38/0.96 thf(zip_derived_cl79, plain,
% 1.38/0.96 (![X0 : $i]:
% 1.38/0.96 ( (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 1.38/0.96 | (LE @ (f @ X0) @ (s @ 0)))),
% 1.38/0.96 inference('demod', [status(thm)], [zip_derived_cl41, zip_derived_cl59])).
% 1.38/0.96 thf(zip_derived_cl246, plain,
% 1.38/0.96 (![X0 : $i]:
% 1.38/0.96 (~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 1.38/0.96 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 1.38/0.96 | ~ (E @ (s @ 0) @ (f @ X0))
% 1.38/0.96 | (LE @ (f @ X0) @ (s @ 0)))),
% 1.38/0.96 inference('sup+', [status(thm)], [zip_derived_cl243, zip_derived_cl79])).
% 1.38/0.96 thf(clause_655, axiom,
% 1.38/0.96 (( ~( LE @ ( f @ ( suc @ B_10 ) ) @ ( s @ ( s @ 0 ) ) ) ) |
% 1.38/0.96 ( E @ ( s @ 0 ) @ ( f @ ( suc @ B_10 ) ) ) |
% 1.38/0.96 ( LE @ ( f @ B_10 ) @ ( s @ 0 ) ))).
% 1.38/0.96 thf(zip_derived_cl58, plain,
% 1.38/0.96 (![X0 : $i]:
% 1.38/0.96 (~ (LE @ (f @ (suc @ X0)) @ (s @ (s @ 0)))
% 1.38/0.96 | (E @ (s @ 0) @ (f @ (suc @ X0)))
% 1.38/0.96 | (LE @ (f @ X0) @ (s @ 0)))),
% 1.38/0.96 inference('cnf', [status(esa)], [clause_655])).
% 1.38/0.96 thf(zip_derived_cl59, plain, (![X0 : $i]: (LE @ (f @ X0) @ (s @ (s @ 0)))),
% 1.38/0.96 inference('cnf', [status(esa)], [clause_410])).
% 1.38/0.96 thf(zip_derived_cl75, plain,
% 1.38/0.96 (![X0 : $i]:
% 1.38/0.96 ( (E @ (s @ 0) @ (f @ (suc @ X0))) | (LE @ (f @ X0) @ (s @ 0)))),
% 1.38/0.96 inference('demod', [status(thm)], [zip_derived_cl58, zip_derived_cl59])).
% 1.38/0.96 thf(zip_derived_cl252, plain,
% 1.38/0.96 (![X0 : $i]:
% 1.38/0.96 ( (LE @ (f @ X0) @ (s @ 0))
% 1.38/0.96 | ~ (E @ (s @ 0) @ (f @ X0))
% 1.38/0.96 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0)))))),
% 1.38/0.96 inference('clc', [status(thm)], [zip_derived_cl246, zip_derived_cl75])).
% 1.38/0.96 thf(clause_651, axiom,
% 1.38/0.96 (( ~( LE @ ( f @ B_10 ) @ ( s @ ( s @ 0 ) ) ) ) |
% 1.38/0.96 ( E @ ( s @ 0 ) @ ( f @ B_10 ) ) | ( LE @ ( f @ B_10 ) @ ( s @ 0 ) ))).
% 1.38/0.96 thf(zip_derived_cl0, plain,
% 1.38/0.96 (![X0 : $i]:
% 1.38/0.96 (~ (LE @ (f @ X0) @ (s @ (s @ 0)))
% 1.38/0.96 | (E @ (s @ 0) @ (f @ X0))
% 1.38/0.96 | (LE @ (f @ X0) @ (s @ 0)))),
% 1.38/0.96 inference('cnf', [status(esa)], [clause_651])).
% 1.38/0.96 thf(zip_derived_cl59, plain, (![X0 : $i]: (LE @ (f @ X0) @ (s @ (s @ 0)))),
% 1.38/0.96 inference('cnf', [status(esa)], [clause_410])).
% 1.38/0.96 thf(zip_derived_cl70, plain,
% 1.38/0.96 (![X0 : $i]: ( (E @ (s @ 0) @ (f @ X0)) | (LE @ (f @ X0) @ (s @ 0)))),
% 1.38/0.96 inference('demod', [status(thm)], [zip_derived_cl0, zip_derived_cl59])).
% 1.38/0.96 thf(zip_derived_cl253, plain,
% 1.38/0.96 (![X0 : $i]:
% 1.38/0.96 (~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 1.38/0.96 | (LE @ (f @ X0) @ (s @ 0)))),
% 1.38/0.96 inference('clc', [status(thm)], [zip_derived_cl252, zip_derived_cl70])).
% 1.38/0.96 thf(clause_214, axiom,
% 1.38/0.96 (( ~( LE @ ( f @ ( suc @ ( suc @ B_10 ) ) ) @ ( s @ ( s @ 0 ) ) ) ) |
% 1.38/0.96 ( E @ ( s @ 0 ) @ ( f @ ( suc @ ( suc @ B_10 ) ) ) ) |
% 1.38/0.96 ( LE @ ( f @ B_10 ) @ ( s @ 0 ) ))).
% 1.38/0.96 thf(zip_derived_cl26, plain,
% 1.38/0.96 (![X0 : $i]:
% 1.38/0.96 (~ (LE @ (f @ (suc @ (suc @ X0))) @ (s @ (s @ 0)))
% 1.38/0.96 | (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 1.38/0.96 | (LE @ (f @ X0) @ (s @ 0)))),
% 1.38/0.96 inference('cnf', [status(esa)], [clause_214])).
% 1.38/0.96 thf(zip_derived_cl59, plain, (![X0 : $i]: (LE @ (f @ X0) @ (s @ (s @ 0)))),
% 1.38/0.96 inference('cnf', [status(esa)], [clause_410])).
% 1.38/0.96 thf(zip_derived_cl78, plain,
% 1.38/0.96 (![X0 : $i]:
% 1.38/0.96 ( (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 1.38/0.96 | (LE @ (f @ X0) @ (s @ 0)))),
% 1.38/0.96 inference('demod', [status(thm)], [zip_derived_cl26, zip_derived_cl59])).
% 1.38/0.96 thf(zip_derived_cl254, plain, (![X0 : $i]: (LE @ (f @ X0) @ (s @ 0))),
% 1.38/0.96 inference('clc', [status(thm)], [zip_derived_cl253, zip_derived_cl78])).
% 1.38/0.96 thf(zip_derived_cl257, plain,
% 1.38/0.96 (![X0 : $i]:
% 1.38/0.96 ( (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0))))) | (LE @ (f @ X0) @ 0))),
% 1.38/0.96 inference('demod', [status(thm)], [zip_derived_cl34, zip_derived_cl254])).
% 1.38/0.96 thf(zip_derived_cl279, plain,
% 1.38/0.96 (![X0 : $i]:
% 1.38/0.96 (~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 1.38/0.96 | ~ (E @ 0 @ (f @ X0))
% 1.38/0.96 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 1.38/0.96 | (LE @ (f @ X0) @ 0))),
% 1.38/0.96 inference('sup+', [status(thm)], [zip_derived_cl277, zip_derived_cl257])).
% 1.38/0.96 thf(clause_287, axiom,
% 1.38/0.96 (( ~( LE @ ( f @ ( suc @ ( suc @ B_17 ) ) ) @ ( s @ 0 ) ) ) |
% 1.38/0.96 ( E @ 0 @ ( f @ ( suc @ ( suc @ B_17 ) ) ) ) | ( LE @ ( f @ B_17 ) @ 0 ))).
% 1.38/0.96 thf(zip_derived_cl63, plain,
% 1.38/0.96 (![X0 : $i]:
% 1.38/0.96 (~ (LE @ (f @ (suc @ (suc @ X0))) @ (s @ 0))
% 1.38/0.96 | (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 1.38/0.96 | (LE @ (f @ X0) @ 0))),
% 1.38/0.96 inference('cnf', [status(esa)], [clause_287])).
% 1.38/0.96 thf(zip_derived_cl254, plain, (![X0 : $i]: (LE @ (f @ X0) @ (s @ 0))),
% 1.38/0.96 inference('clc', [status(thm)], [zip_derived_cl253, zip_derived_cl78])).
% 1.38/0.96 thf(zip_derived_cl258, plain,
% 1.38/0.96 (![X0 : $i]: ( (E @ 0 @ (f @ (suc @ (suc @ X0)))) | (LE @ (f @ X0) @ 0))),
% 1.38/0.96 inference('demod', [status(thm)], [zip_derived_cl63, zip_derived_cl254])).
% 1.38/0.96 thf(zip_derived_cl286, plain,
% 1.38/0.96 (![X0 : $i]:
% 1.38/0.96 ( (LE @ (f @ X0) @ 0)
% 1.38/0.96 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 1.38/0.96 | ~ (E @ 0 @ (f @ X0)))),
% 1.38/0.96 inference('clc', [status(thm)], [zip_derived_cl279, zip_derived_cl258])).
% 1.38/0.96 thf(clause_326, axiom,
% 1.38/0.96 (( ~( LE @ ( f @ ( suc @ B_17 ) ) @ ( s @ 0 ) ) ) |
% 1.38/0.96 ( E @ 0 @ ( f @ ( suc @ B_17 ) ) ) | ( LE @ ( f @ B_17 ) @ 0 ))).
% 1.38/0.96 thf(zip_derived_cl8, plain,
% 1.38/0.96 (![X0 : $i]:
% 1.38/0.96 (~ (LE @ (f @ (suc @ X0)) @ (s @ 0))
% 1.38/0.96 | (E @ 0 @ (f @ (suc @ X0)))
% 1.38/0.96 | (LE @ (f @ X0) @ 0))),
% 1.38/0.96 inference('cnf', [status(esa)], [clause_326])).
% 1.38/0.96 thf(zip_derived_cl254, plain, (![X0 : $i]: (LE @ (f @ X0) @ (s @ 0))),
% 1.38/0.96 inference('clc', [status(thm)], [zip_derived_cl253, zip_derived_cl78])).
% 1.38/0.96 thf(zip_derived_cl256, plain,
% 1.38/0.96 (![X0 : $i]: ( (E @ 0 @ (f @ (suc @ X0))) | (LE @ (f @ X0) @ 0))),
% 1.38/0.96 inference('demod', [status(thm)], [zip_derived_cl8, zip_derived_cl254])).
% 1.38/0.96 thf(zip_derived_cl287, plain,
% 1.38/0.96 (![X0 : $i]: (~ (E @ 0 @ (f @ X0)) | (LE @ (f @ X0) @ 0))),
% 1.38/0.96 inference('clc', [status(thm)], [zip_derived_cl286, zip_derived_cl256])).
% 1.38/0.96 thf(clause_10, axiom,
% 1.38/0.96 (( ~( LE @ ( f @ B_17 ) @ ( s @ 0 ) ) ) | ( E @ 0 @ ( f @ B_17 ) ) |
% 1.38/0.96 ( LE @ ( f @ B_17 ) @ 0 ))).
% 1.38/0.96 thf(zip_derived_cl7, plain,
% 1.38/0.96 (![X0 : $i]:
% 1.38/0.96 (~ (LE @ (f @ X0) @ (s @ 0))
% 1.38/0.96 | (E @ 0 @ (f @ X0))
% 1.38/0.96 | (LE @ (f @ X0) @ 0))),
% 1.38/0.96 inference('cnf', [status(esa)], [clause_10])).
% 1.38/0.96 thf(zip_derived_cl254, plain, (![X0 : $i]: (LE @ (f @ X0) @ (s @ 0))),
% 1.38/0.96 inference('clc', [status(thm)], [zip_derived_cl253, zip_derived_cl78])).
% 1.38/0.96 thf(zip_derived_cl255, plain,
% 1.38/0.96 (![X0 : $i]: ( (E @ 0 @ (f @ X0)) | (LE @ (f @ X0) @ 0))),
% 1.38/0.96 inference('demod', [status(thm)], [zip_derived_cl7, zip_derived_cl254])).
% 1.38/0.96 thf(zip_derived_cl288, plain, (![X0 : $i]: (LE @ (f @ X0) @ 0)),
% 1.38/0.96 inference('clc', [status(thm)], [zip_derived_cl287, zip_derived_cl255])).
% 1.38/0.96 thf(zip_derived_cl289, plain, ($false),
% 1.38/0.96 inference('demod', [status(thm)], [zip_derived_cl48, zip_derived_cl288])).
% 1.38/0.96
% 1.38/0.96 % SZS output end Refutation
% 1.38/0.96
% 1.38/0.96
% 1.38/0.96 % Terminating...
% 1.60/1.05 % Runner terminated.
% 1.60/1.07 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------