TSTP Solution File: SYO677-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYO677-1 : 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.sikPoJNbTs true
% Computer : n021.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 1 05:52:32 EDT 2023
% Result : Unsatisfiable 0.90s 0.89s
% Output : Refutation 0.90s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SYO677-1 : TPTP v8.1.2. Released v7.3.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.sikPoJNbTs true
% 0.14/0.35 % Computer : n021.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 03:53:26 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
% 0.21/0.66 % Total configuration time : 435
% 0.21/0.66 % Estimated wc time : 1092
% 0.21/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.71 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.56/0.76 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.56/0.76 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.56/0.76 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.56/0.76 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.56/0.77 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.56/0.77 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.90/0.89 % Solved by fo/fo5.sh.
% 0.90/0.89 % done 101 iterations in 0.100s
% 0.90/0.89 % SZS status Unsatisfiable for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.90/0.89 % SZS output start Refutation
% 0.90/0.89 thf(z_type, type, z: $i).
% 0.90/0.89 thf(f_type, type, f: $i > $i).
% 0.90/0.89 thf(0_type, type, 0: $i).
% 0.90/0.89 thf(suc_type, type, suc: $i > $i).
% 0.90/0.89 thf(s_type, type, s: $i > $i).
% 0.90/0.89 thf(LE_type, type, LE: $i > $i > $o).
% 0.90/0.89 thf(E_type, type, E: $i > $i > $o).
% 0.90/0.89 thf(iLEQ_type, type, iLEQ: $i > $i > $o).
% 0.90/0.89 thf(clause_77, axiom, (~( LE @ ( f @ z ) @ 0 ))).
% 0.90/0.89 thf(zip_derived_cl27, plain, (~ (LE @ (f @ z) @ 0)),
% 0.90/0.89 inference('cnf', [status(esa)], [clause_77])).
% 0.90/0.89 thf(clause_27, axiom,
% 0.90/0.89 (( ~( LE @ ( f @ ( suc @ ( suc @ B_16 ) ) ) @ ( s @ 0 ) ) ) |
% 0.90/0.89 ( E @ 0 @ ( f @ ( suc @ ( suc @ B_16 ) ) ) ) | ( LE @ ( f @ B_16 ) @ 0 ))).
% 0.90/0.89 thf(zip_derived_cl35, plain,
% 0.90/0.89 (![X0 : $i]:
% 0.90/0.89 (~ (LE @ (f @ (suc @ (suc @ X0))) @ (s @ 0))
% 0.90/0.89 | (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 0.90/0.89 | (LE @ (f @ X0) @ 0))),
% 0.90/0.89 inference('cnf', [status(esa)], [clause_27])).
% 0.90/0.89 thf(clause_49, axiom,
% 0.90/0.89 (( ~( LE @ ( f @ ( suc @ ( suc @ B_13 ) ) ) @ ( s @ ( s @ 0 ) ) ) ) |
% 0.90/0.89 ( E @ ( s @ 0 ) @ ( f @ ( suc @ ( suc @ B_13 ) ) ) ) |
% 0.90/0.89 ( LE @ ( f @ B_13 ) @ ( s @ 0 ) ))).
% 0.90/0.89 thf(zip_derived_cl26, plain,
% 0.90/0.89 (![X0 : $i]:
% 0.90/0.89 (~ (LE @ (f @ (suc @ (suc @ X0))) @ (s @ (s @ 0)))
% 0.90/0.89 | (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 0.90/0.89 | (LE @ (f @ X0) @ (s @ 0)))),
% 0.90/0.89 inference('cnf', [status(esa)], [clause_49])).
% 0.90/0.89 thf(clause_18, axiom,
% 0.90/0.89 (( ~( LE @ ( f @ ( suc @ ( suc @ B_9 ) ) ) @ ( s @ ( s @ ( s @ 0 ) ) ) ) ) |
% 0.90/0.89 ( E @ ( s @ ( s @ 0 ) ) @ ( f @ ( suc @ ( suc @ B_9 ) ) ) ) |
% 0.90/0.89 ( LE @ ( f @ B_9 ) @ ( s @ ( s @ 0 ) ) ))).
% 0.90/0.89 thf(zip_derived_cl14, plain,
% 0.90/0.89 (![X0 : $i]:
% 0.90/0.89 (~ (LE @ (f @ (suc @ (suc @ X0))) @ (s @ (s @ (s @ 0))))
% 0.90/0.89 | (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ X0))))
% 0.90/0.89 | (LE @ (f @ X0) @ (s @ (s @ 0))))),
% 0.90/0.89 inference('cnf', [status(esa)], [clause_18])).
% 0.90/0.89 thf(clause_143, axiom,
% 0.90/0.89 (( ~( LE @
% 0.90/0.89 ( f @ ( suc @ ( suc @ B_4 ) ) ) @ ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) ) ) |
% 0.90/0.89 ( E @ ( s @ ( s @ ( s @ 0 ) ) ) @ ( f @ ( suc @ ( suc @ B_4 ) ) ) ) |
% 0.90/0.89 ( LE @ ( f @ B_4 ) @ ( s @ ( s @ ( s @ 0 ) ) ) ))).
% 0.90/0.89 thf(zip_derived_cl2, plain,
% 0.90/0.89 (![X0 : $i]:
% 0.90/0.89 (~ (LE @ (f @ (suc @ (suc @ X0))) @ (s @ (s @ (s @ (s @ 0)))))
% 0.90/0.89 | (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ (suc @ X0))))
% 0.90/0.89 | (LE @ (f @ X0) @ (s @ (s @ (s @ 0)))))),
% 0.90/0.89 inference('cnf', [status(esa)], [clause_143])).
% 0.90/0.89 thf(clause_113, axiom, (LE @ ( f @ A ) @ ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ))).
% 0.90/0.89 thf(zip_derived_cl17, plain,
% 0.90/0.89 (![X0 : $i]: (LE @ (f @ X0) @ (s @ (s @ (s @ (s @ 0)))))),
% 0.90/0.89 inference('cnf', [status(esa)], [clause_113])).
% 0.90/0.89 thf(zip_derived_cl47, plain,
% 0.90/0.89 (![X0 : $i]:
% 0.90/0.89 ( (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ (suc @ X0))))
% 0.90/0.89 | (LE @ (f @ X0) @ (s @ (s @ (s @ 0)))))),
% 0.90/0.89 inference('demod', [status(thm)], [zip_derived_cl2, zip_derived_cl17])).
% 0.90/0.89 thf(clause_121, axiom,
% 0.90/0.89 (( ~( E @ ( s @ ( s @ ( s @ 0 ) ) ) @ ( f @ ( suc @ B_5 ) ) ) ) |
% 0.90/0.89 ( ~( E @ ( f @ B_5 ) @ ( f @ ( suc @ B_5 ) ) ) ) |
% 0.90/0.89 ( ~( iLEQ @ ( suc @ A_1 ) @ ( suc @ B_5 ) ) ) |
% 0.90/0.89 ( ~( E @ ( s @ ( s @ ( s @ 0 ) ) ) @ ( f @ B_5 ) ) ) |
% 0.90/0.89 ( ~( E @ ( s @ ( s @ ( s @ 0 ) ) ) @ ( f @ A_1 ) ) ) |
% 0.90/0.89 ( ~( E @ ( s @ ( s @ ( s @ 0 ) ) ) @ ( f @ ( suc @ ( suc @ A_1 ) ) ) ) ) |
% 0.90/0.89 ( ~( E @ ( f @ A_1 ) @ ( f @ ( suc @ A_1 ) ) ) ) |
% 0.90/0.89 ( ~( E @ ( s @ ( s @ ( s @ 0 ) ) ) @ ( f @ ( suc @ ( suc @ B_5 ) ) ) ) ) |
% 0.90/0.89 ( ~( E @ ( s @ ( s @ ( s @ 0 ) ) ) @ ( f @ ( suc @ A_1 ) ) ) ))).
% 0.90/0.89 thf(zip_derived_cl29, plain,
% 0.90/0.89 (![X0 : $i, X1 : $i]:
% 0.90/0.89 (~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ X0)))
% 0.90/0.89 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.90/0.89 | ~ (iLEQ @ (suc @ X1) @ (suc @ X0))
% 0.90/0.89 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ X0))
% 0.90/0.89 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ X1))
% 0.90/0.89 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ (suc @ X1))))
% 0.90/0.89 | ~ (E @ (f @ X1) @ (f @ (suc @ X1)))
% 0.90/0.89 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ (suc @ X0))))
% 0.90/0.89 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ X1))))),
% 0.90/0.89 inference('cnf', [status(esa)], [clause_121])).
% 0.90/0.89 thf(zip_derived_cl179, plain,
% 0.90/0.89 (![X0 : $i]:
% 0.90/0.89 (~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ X0)))
% 0.90/0.89 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ (suc @ X0))))
% 0.90/0.89 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.90/0.89 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ X0))
% 0.90/0.89 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ X0))
% 0.90/0.89 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 0.90/0.89 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.90/0.89 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ X0))))),
% 0.90/0.89 inference('eq_fact', [status(thm)], [zip_derived_cl29])).
% 0.90/0.89 thf(zip_derived_cl180, plain,
% 0.90/0.89 (![X0 : $i]:
% 0.90/0.89 (~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 0.90/0.89 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ X0))
% 0.90/0.89 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.90/0.89 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ (suc @ X0))))
% 0.90/0.89 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ X0))))),
% 0.90/0.89 inference('simplify', [status(thm)], [zip_derived_cl179])).
% 0.90/0.89 thf(clause_140, axiom,
% 0.90/0.89 (( ~( E @ ( s @ ( s @ ( s @ 0 ) ) ) @ ( f @ ( suc @ ( suc @ A_1 ) ) ) ) ) |
% 0.90/0.89 ( ~( E @ ( s @ ( s @ ( s @ 0 ) ) ) @ ( f @ ( suc @ A_1 ) ) ) ) |
% 0.90/0.89 ( ~( E @ ( f @ A_1 ) @ ( f @ ( suc @ A_1 ) ) ) ) |
% 0.90/0.89 ( ~( E @ ( s @ ( s @ ( s @ 0 ) ) ) @ ( f @ A_1 ) ) ) |
% 0.90/0.89 ( iLEQ @ ( suc @ A_1 ) @ ( suc @ A_1 ) ))).
% 0.90/0.89 thf(zip_derived_cl21, plain,
% 0.90/0.89 (![X0 : $i]:
% 0.90/0.89 (~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ (suc @ X0))))
% 0.90/0.89 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ X0)))
% 0.90/0.89 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.90/0.89 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ X0))
% 0.90/0.89 | (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 0.90/0.89 inference('cnf', [status(esa)], [clause_140])).
% 0.90/0.89 thf(clause_65, axiom,
% 0.90/0.89 (( ~( E @ ( s @ ( s @ ( s @ 0 ) ) ) @ ( f @ A_1 ) ) ) |
% 0.90/0.89 ( ~( E @ ( s @ ( s @ ( s @ 0 ) ) ) @ ( f @ ( suc @ A_1 ) ) ) ) |
% 0.90/0.89 ( E @ ( f @ A_1 ) @ ( f @ ( suc @ A_1 ) ) ) |
% 0.90/0.89 ( iLEQ @ ( suc @ A_1 ) @ ( suc @ A_1 ) ))).
% 0.90/0.89 thf(zip_derived_cl31, plain,
% 0.90/0.89 (![X0 : $i]:
% 0.90/0.89 (~ (E @ (s @ (s @ (s @ 0))) @ (f @ X0))
% 0.90/0.89 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ X0)))
% 0.90/0.89 | (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.90/0.89 | (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 0.90/0.89 inference('cnf', [status(esa)], [clause_65])).
% 0.90/0.89 thf(zip_derived_cl49, plain,
% 0.90/0.89 (![X0 : $i]:
% 0.90/0.89 ( (iLEQ @ (suc @ X0) @ (suc @ X0))
% 0.90/0.89 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ X0))
% 0.90/0.89 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ X0)))
% 0.90/0.89 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ (suc @ X0)))))),
% 0.90/0.89 inference('clc', [status(thm)], [zip_derived_cl21, zip_derived_cl31])).
% 0.90/0.89 thf(zip_derived_cl194, plain,
% 0.90/0.89 (![X0 : $i]:
% 0.90/0.89 (~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ X0)))
% 0.90/0.89 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ (suc @ X0))))
% 0.90/0.89 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.90/0.89 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ X0)))),
% 0.90/0.89 inference('clc', [status(thm)], [zip_derived_cl180, zip_derived_cl49])).
% 0.90/0.89 thf(clause_51, axiom,
% 0.90/0.89 (( ~( E @ ( s @ ( s @ ( s @ 0 ) ) ) @ ( f @ ( suc @ B_5 ) ) ) ) |
% 0.90/0.89 ( ~( iLEQ @ ( suc @ A_1 ) @ ( suc @ B_5 ) ) ) |
% 0.90/0.89 ( ~( E @ ( s @ ( s @ ( s @ 0 ) ) ) @ ( f @ B_5 ) ) ) |
% 0.90/0.89 ( ~( E @ ( s @ ( s @ ( s @ 0 ) ) ) @ ( f @ A_1 ) ) ) |
% 0.90/0.89 ( ~( E @ ( s @ ( s @ ( s @ 0 ) ) ) @ ( f @ ( suc @ A_1 ) ) ) ) |
% 0.90/0.89 ( E @ ( f @ A_1 ) @ ( f @ ( suc @ A_1 ) ) ) |
% 0.90/0.89 ( E @ ( f @ B_5 ) @ ( f @ ( suc @ B_5 ) ) ))).
% 0.90/0.89 thf(zip_derived_cl9, plain,
% 0.90/0.89 (![X0 : $i, X1 : $i]:
% 0.90/0.89 (~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ X0)))
% 0.90/0.89 | ~ (iLEQ @ (suc @ X1) @ (suc @ X0))
% 0.90/0.89 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ X0))
% 0.90/0.89 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ X1))
% 0.90/0.89 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ X1)))
% 0.90/0.89 | (E @ (f @ X1) @ (f @ (suc @ X1)))
% 0.90/0.89 | (E @ (f @ X0) @ (f @ (suc @ X0))))),
% 0.90/0.89 inference('cnf', [status(esa)], [clause_51])).
% 0.90/0.89 thf(zip_derived_cl147, plain,
% 0.90/0.89 (![X0 : $i]:
% 0.90/0.89 ( (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.90/0.89 | (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.90/0.89 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ X0)))
% 0.90/0.89 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ X0))
% 0.90/0.89 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ X0))
% 0.90/0.89 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 0.90/0.89 inference('eq_fact', [status(thm)], [zip_derived_cl9])).
% 0.90/0.89 thf(zip_derived_cl148, plain,
% 0.90/0.89 (![X0 : $i]:
% 0.90/0.89 (~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 0.90/0.89 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ X0))
% 0.90/0.89 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ X0)))
% 0.90/0.89 | (E @ (f @ X0) @ (f @ (suc @ X0))))),
% 0.90/0.89 inference('simplify', [status(thm)], [zip_derived_cl147])).
% 0.90/0.89 thf(zip_derived_cl31, plain,
% 0.90/0.89 (![X0 : $i]:
% 0.90/0.89 (~ (E @ (s @ (s @ (s @ 0))) @ (f @ X0))
% 0.90/0.89 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ X0)))
% 0.90/0.89 | (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.90/0.89 | (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 0.90/0.89 inference('cnf', [status(esa)], [clause_65])).
% 0.90/0.89 thf(zip_derived_cl183, plain,
% 0.90/0.89 (![X0 : $i]:
% 0.90/0.89 ( (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.90/0.89 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ X0)))
% 0.90/0.89 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ X0)))),
% 0.90/0.89 inference('clc', [status(thm)], [zip_derived_cl148, zip_derived_cl31])).
% 0.90/0.89 thf(zip_derived_cl195, plain,
% 0.90/0.89 (![X0 : $i]:
% 0.90/0.89 (~ (E @ (s @ (s @ (s @ 0))) @ (f @ X0))
% 0.90/0.89 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ (suc @ X0))))
% 0.90/0.89 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ X0))))),
% 0.90/0.89 inference('clc', [status(thm)], [zip_derived_cl194, zip_derived_cl183])).
% 0.90/0.89 thf(zip_derived_cl196, plain,
% 0.90/0.89 (![X0 : $i]:
% 0.90/0.89 ( (LE @ (f @ X0) @ (s @ (s @ (s @ 0))))
% 0.90/0.89 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ X0)))
% 0.90/0.89 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ X0)))),
% 0.90/0.89 inference('sup-', [status(thm)], [zip_derived_cl47, zip_derived_cl195])).
% 0.90/0.89 thf(clause_13, axiom,
% 0.90/0.89 (( ~( LE @ ( f @ ( suc @ B_4 ) ) @ ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) ) ) |
% 0.90/0.89 ( E @ ( s @ ( s @ ( s @ 0 ) ) ) @ ( f @ ( suc @ B_4 ) ) ) |
% 0.90/0.89 ( LE @ ( f @ B_4 ) @ ( s @ ( s @ ( s @ 0 ) ) ) ))).
% 0.90/0.89 thf(zip_derived_cl8, plain,
% 0.90/0.89 (![X0 : $i]:
% 0.90/0.89 (~ (LE @ (f @ (suc @ X0)) @ (s @ (s @ (s @ (s @ 0)))))
% 0.90/0.89 | (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ X0)))
% 0.90/0.89 | (LE @ (f @ X0) @ (s @ (s @ (s @ 0)))))),
% 0.90/0.89 inference('cnf', [status(esa)], [clause_13])).
% 0.90/0.89 thf(zip_derived_cl17, plain,
% 0.90/0.89 (![X0 : $i]: (LE @ (f @ X0) @ (s @ (s @ (s @ (s @ 0)))))),
% 0.90/0.89 inference('cnf', [status(esa)], [clause_113])).
% 0.90/0.89 thf(zip_derived_cl44, plain,
% 0.90/0.89 (![X0 : $i]:
% 0.90/0.89 ( (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ X0)))
% 0.90/0.89 | (LE @ (f @ X0) @ (s @ (s @ (s @ 0)))))),
% 0.90/0.89 inference('demod', [status(thm)], [zip_derived_cl8, zip_derived_cl17])).
% 0.90/0.89 thf(zip_derived_cl199, plain,
% 0.90/0.89 (![X0 : $i]:
% 0.90/0.89 (~ (E @ (s @ (s @ (s @ 0))) @ (f @ X0))
% 0.90/0.89 | (LE @ (f @ X0) @ (s @ (s @ (s @ 0)))))),
% 0.90/0.89 inference('clc', [status(thm)], [zip_derived_cl196, zip_derived_cl44])).
% 0.90/0.89 thf(clause_61, axiom,
% 0.90/0.89 (( ~( LE @ ( f @ B_4 ) @ ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) ) ) |
% 0.90/0.89 ( E @ ( s @ ( s @ ( s @ 0 ) ) ) @ ( f @ B_4 ) ) |
% 0.90/0.89 ( LE @ ( f @ B_4 ) @ ( s @ ( s @ ( s @ 0 ) ) ) ))).
% 0.90/0.89 thf(zip_derived_cl15, plain,
% 0.90/0.89 (![X0 : $i]:
% 0.90/0.89 (~ (LE @ (f @ X0) @ (s @ (s @ (s @ (s @ 0)))))
% 0.90/0.89 | (E @ (s @ (s @ (s @ 0))) @ (f @ X0))
% 0.90/0.89 | (LE @ (f @ X0) @ (s @ (s @ (s @ 0)))))),
% 0.90/0.89 inference('cnf', [status(esa)], [clause_61])).
% 0.90/0.89 thf(zip_derived_cl17, plain,
% 0.90/0.89 (![X0 : $i]: (LE @ (f @ X0) @ (s @ (s @ (s @ (s @ 0)))))),
% 0.90/0.89 inference('cnf', [status(esa)], [clause_113])).
% 0.90/0.89 thf(zip_derived_cl42, plain,
% 0.90/0.89 (![X0 : $i]:
% 0.90/0.89 ( (E @ (s @ (s @ (s @ 0))) @ (f @ X0))
% 0.90/0.89 | (LE @ (f @ X0) @ (s @ (s @ (s @ 0)))))),
% 0.90/0.89 inference('demod', [status(thm)], [zip_derived_cl15, zip_derived_cl17])).
% 0.90/0.89 thf(zip_derived_cl200, plain,
% 0.90/0.89 (![X0 : $i]: (LE @ (f @ X0) @ (s @ (s @ (s @ 0))))),
% 0.90/0.89 inference('clc', [status(thm)], [zip_derived_cl199, zip_derived_cl42])).
% 0.90/0.89 thf(zip_derived_cl201, plain,
% 0.90/0.89 (![X0 : $i]:
% 0.90/0.89 ( (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ X0))))
% 0.90/0.89 | (LE @ (f @ X0) @ (s @ (s @ 0))))),
% 0.90/0.89 inference('demod', [status(thm)], [zip_derived_cl14, zip_derived_cl200])).
% 0.90/0.89 thf(clause_24, axiom,
% 0.90/0.89 (( ~( E @ ( s @ ( s @ 0 ) ) @ ( f @ B_10 ) ) ) |
% 0.90/0.89 ( ~( E @ ( s @ ( s @ 0 ) ) @ ( f @ ( suc @ A_2 ) ) ) ) |
% 0.90/0.89 ( ~( E @ ( f @ B_10 ) @ ( f @ ( suc @ B_10 ) ) ) ) |
% 0.90/0.89 ( ~( iLEQ @ ( suc @ A_2 ) @ ( suc @ B_10 ) ) ) |
% 0.90/0.89 ( ~( E @ ( s @ ( s @ 0 ) ) @ ( f @ ( suc @ B_10 ) ) ) ) |
% 0.90/0.89 ( ~( E @ ( s @ ( s @ 0 ) ) @ ( f @ ( suc @ ( suc @ A_2 ) ) ) ) ) |
% 0.90/0.89 ( ~( E @ ( s @ ( s @ 0 ) ) @ ( f @ A_2 ) ) ) |
% 0.90/0.89 ( ~( E @ ( f @ A_2 ) @ ( f @ ( suc @ A_2 ) ) ) ) |
% 0.90/0.89 ( ~( E @ ( s @ ( s @ 0 ) ) @ ( f @ ( suc @ ( suc @ B_10 ) ) ) ) ))).
% 0.90/0.89 thf(zip_derived_cl0, plain,
% 0.90/0.89 (![X0 : $i, X1 : $i]:
% 0.90/0.89 (~ (E @ (s @ (s @ 0)) @ (f @ X0))
% 0.90/0.89 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X1)))
% 0.90/0.89 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.90/0.89 | ~ (iLEQ @ (suc @ X1) @ (suc @ X0))
% 0.90/0.89 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 0.90/0.89 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ X1))))
% 0.90/0.89 | ~ (E @ (s @ (s @ 0)) @ (f @ X1))
% 0.90/0.89 | ~ (E @ (f @ X1) @ (f @ (suc @ X1)))
% 0.90/0.89 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ X0)))))),
% 0.90/0.89 inference('cnf', [status(esa)], [clause_24])).
% 0.90/0.89 thf(zip_derived_cl38, plain,
% 0.90/0.89 (![X0 : $i]:
% 0.90/0.89 (~ (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ X0))))
% 0.90/0.89 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.90/0.89 | ~ (E @ (s @ (s @ 0)) @ (f @ X0))
% 0.90/0.89 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 0.90/0.89 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 0.90/0.89 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.90/0.89 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 0.90/0.89 | ~ (E @ (s @ (s @ 0)) @ (f @ X0)))),
% 0.90/0.89 inference('eq_fact', [status(thm)], [zip_derived_cl0])).
% 0.90/0.89 thf(zip_derived_cl39, plain,
% 0.90/0.89 (![X0 : $i]:
% 0.90/0.89 (~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 0.90/0.89 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 0.90/0.89 | ~ (E @ (s @ (s @ 0)) @ (f @ X0))
% 0.90/0.89 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.90/0.89 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ X0)))))),
% 0.90/0.89 inference('simplify', [status(thm)], [zip_derived_cl38])).
% 0.90/0.89 thf(zip_derived_cl221, plain,
% 0.90/0.89 (![X0 : $i]:
% 0.90/0.89 ( (LE @ (f @ X0) @ (s @ (s @ 0)))
% 0.90/0.89 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.90/0.89 | ~ (E @ (s @ (s @ 0)) @ (f @ X0))
% 0.90/0.89 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 0.90/0.89 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 0.90/0.89 inference('sup-', [status(thm)], [zip_derived_cl201, zip_derived_cl39])).
% 0.90/0.89 thf(clause_38, axiom,
% 0.90/0.89 (( ~( E @ ( s @ ( s @ 0 ) ) @ ( f @ B_10 ) ) ) |
% 0.90/0.89 ( ~( E @ ( s @ ( s @ 0 ) ) @ ( f @ ( suc @ A_2 ) ) ) ) |
% 0.90/0.89 ( ~( iLEQ @ ( suc @ A_2 ) @ ( suc @ B_10 ) ) ) |
% 0.90/0.89 ( ~( E @ ( s @ ( s @ 0 ) ) @ ( f @ ( suc @ B_10 ) ) ) ) |
% 0.90/0.89 ( ~( E @ ( s @ ( s @ 0 ) ) @ ( f @ A_2 ) ) ) |
% 0.90/0.89 ( E @ ( f @ A_2 ) @ ( f @ ( suc @ A_2 ) ) ) |
% 0.90/0.89 ( E @ ( f @ B_10 ) @ ( f @ ( suc @ B_10 ) ) ))).
% 0.90/0.89 thf(zip_derived_cl5, plain,
% 0.90/0.89 (![X0 : $i, X1 : $i]:
% 0.90/0.89 (~ (E @ (s @ (s @ 0)) @ (f @ X0))
% 0.90/0.89 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X1)))
% 0.90/0.89 | ~ (iLEQ @ (suc @ X1) @ (suc @ X0))
% 0.90/0.89 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 0.90/0.89 | ~ (E @ (s @ (s @ 0)) @ (f @ X1))
% 0.90/0.89 | (E @ (f @ X1) @ (f @ (suc @ X1)))
% 0.90/0.89 | (E @ (f @ X0) @ (f @ (suc @ X0))))),
% 0.90/0.89 inference('cnf', [status(esa)], [clause_38])).
% 0.90/0.89 thf(zip_derived_cl88, plain,
% 0.90/0.89 (![X0 : $i]:
% 0.90/0.89 ( (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.90/0.89 | (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.90/0.89 | ~ (E @ (s @ (s @ 0)) @ (f @ X0))
% 0.90/0.89 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 0.90/0.89 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 0.90/0.89 | ~ (E @ (s @ (s @ 0)) @ (f @ X0)))),
% 0.90/0.89 inference('eq_fact', [status(thm)], [zip_derived_cl5])).
% 0.90/0.89 thf(zip_derived_cl89, plain,
% 0.90/0.89 (![X0 : $i]:
% 0.90/0.89 (~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 0.90/0.89 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 0.90/0.89 | ~ (E @ (s @ (s @ 0)) @ (f @ X0))
% 0.90/0.89 | (E @ (f @ X0) @ (f @ (suc @ X0))))),
% 0.90/0.89 inference('simplify', [status(thm)], [zip_derived_cl88])).
% 0.90/0.89 thf(clause_84, axiom,
% 0.90/0.89 (( ~( E @ ( s @ ( s @ 0 ) ) @ ( f @ A_2 ) ) ) |
% 0.90/0.89 ( ~( E @ ( s @ ( s @ 0 ) ) @ ( f @ ( suc @ A_2 ) ) ) ) |
% 0.90/0.89 ( E @ ( f @ A_2 ) @ ( f @ ( suc @ A_2 ) ) ) |
% 0.90/0.89 ( iLEQ @ ( suc @ A_2 ) @ ( suc @ A_2 ) ))).
% 0.90/0.89 thf(zip_derived_cl33, plain,
% 0.90/0.89 (![X0 : $i]:
% 0.90/0.89 (~ (E @ (s @ (s @ 0)) @ (f @ X0))
% 0.90/0.89 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 0.90/0.89 | (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.90/0.89 | (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 0.90/0.89 inference('cnf', [status(esa)], [clause_84])).
% 0.90/0.89 thf(zip_derived_cl121, plain,
% 0.90/0.89 (![X0 : $i]:
% 0.90/0.89 ( (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.90/0.89 | ~ (E @ (s @ (s @ 0)) @ (f @ X0))
% 0.90/0.89 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0))))),
% 0.90/0.89 inference('clc', [status(thm)], [zip_derived_cl89, zip_derived_cl33])).
% 0.90/0.89 thf(zip_derived_cl243, plain,
% 0.90/0.89 (![X0 : $i]:
% 0.90/0.89 (~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 0.90/0.89 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 0.90/0.89 | ~ (E @ (s @ (s @ 0)) @ (f @ X0))
% 0.90/0.89 | (LE @ (f @ X0) @ (s @ (s @ 0))))),
% 0.90/0.89 inference('clc', [status(thm)], [zip_derived_cl221, zip_derived_cl121])).
% 0.90/0.89 thf(zip_derived_cl201, plain,
% 0.90/0.89 (![X0 : $i]:
% 0.90/0.89 ( (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ X0))))
% 0.90/0.89 | (LE @ (f @ X0) @ (s @ (s @ 0))))),
% 0.90/0.89 inference('demod', [status(thm)], [zip_derived_cl14, zip_derived_cl200])).
% 0.90/0.89 thf(clause_97, axiom,
% 0.90/0.89 (( ~( E @ ( s @ ( s @ 0 ) ) @ ( f @ ( suc @ ( suc @ A_2 ) ) ) ) ) |
% 0.90/0.89 ( ~( E @ ( s @ ( s @ 0 ) ) @ ( f @ ( suc @ A_2 ) ) ) ) |
% 0.90/0.89 ( ~( E @ ( f @ A_2 ) @ ( f @ ( suc @ A_2 ) ) ) ) |
% 0.90/0.89 ( ~( E @ ( s @ ( s @ 0 ) ) @ ( f @ A_2 ) ) ) |
% 0.90/0.89 ( iLEQ @ ( suc @ A_2 ) @ ( suc @ A_2 ) ))).
% 0.90/0.89 thf(zip_derived_cl11, plain,
% 0.90/0.89 (![X0 : $i]:
% 0.90/0.89 (~ (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ X0))))
% 0.90/0.89 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 0.90/0.89 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.90/0.89 | ~ (E @ (s @ (s @ 0)) @ (f @ X0))
% 0.90/0.89 | (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 0.90/0.89 inference('cnf', [status(esa)], [clause_97])).
% 0.90/0.89 thf(zip_derived_cl33, plain,
% 0.90/0.89 (![X0 : $i]:
% 0.90/0.89 (~ (E @ (s @ (s @ 0)) @ (f @ X0))
% 0.90/0.89 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 0.90/0.89 | (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.90/0.89 | (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 0.90/0.89 inference('cnf', [status(esa)], [clause_84])).
% 0.90/0.89 thf(zip_derived_cl46, plain,
% 0.90/0.89 (![X0 : $i]:
% 0.90/0.89 ( (iLEQ @ (suc @ X0) @ (suc @ X0))
% 0.90/0.89 | ~ (E @ (s @ (s @ 0)) @ (f @ X0))
% 0.90/0.89 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 0.90/0.89 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ X0)))))),
% 0.90/0.89 inference('clc', [status(thm)], [zip_derived_cl11, zip_derived_cl33])).
% 0.90/0.89 thf(zip_derived_cl222, plain,
% 0.90/0.89 (![X0 : $i]:
% 0.90/0.89 ( (LE @ (f @ X0) @ (s @ (s @ 0)))
% 0.90/0.89 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 0.90/0.89 | ~ (E @ (s @ (s @ 0)) @ (f @ X0))
% 0.90/0.89 | (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 0.90/0.89 inference('sup-', [status(thm)], [zip_derived_cl201, zip_derived_cl46])).
% 0.90/0.89 thf(clause_87, axiom,
% 0.90/0.89 (( ~( LE @ ( f @ ( suc @ B_9 ) ) @ ( s @ ( s @ ( s @ 0 ) ) ) ) ) |
% 0.90/0.89 ( E @ ( s @ ( s @ 0 ) ) @ ( f @ ( suc @ B_9 ) ) ) |
% 0.90/0.89 ( LE @ ( f @ B_9 ) @ ( s @ ( s @ 0 ) ) ))).
% 0.90/0.89 thf(zip_derived_cl30, plain,
% 0.90/0.89 (![X0 : $i]:
% 0.90/0.89 (~ (LE @ (f @ (suc @ X0)) @ (s @ (s @ (s @ 0))))
% 0.90/0.89 | (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 0.90/0.89 | (LE @ (f @ X0) @ (s @ (s @ 0))))),
% 0.90/0.89 inference('cnf', [status(esa)], [clause_87])).
% 0.90/0.89 thf(zip_derived_cl200, plain,
% 0.90/0.89 (![X0 : $i]: (LE @ (f @ X0) @ (s @ (s @ (s @ 0))))),
% 0.90/0.89 inference('clc', [status(thm)], [zip_derived_cl199, zip_derived_cl42])).
% 0.90/0.89 thf(zip_derived_cl203, plain,
% 0.90/0.89 (![X0 : $i]:
% 0.90/0.89 ( (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 0.90/0.89 | (LE @ (f @ X0) @ (s @ (s @ 0))))),
% 0.90/0.89 inference('demod', [status(thm)], [zip_derived_cl30, zip_derived_cl200])).
% 0.90/0.89 thf(zip_derived_cl237, plain,
% 0.90/0.89 (![X0 : $i]:
% 0.90/0.89 ( (iLEQ @ (suc @ X0) @ (suc @ X0))
% 0.90/0.89 | ~ (E @ (s @ (s @ 0)) @ (f @ X0))
% 0.90/0.89 | (LE @ (f @ X0) @ (s @ (s @ 0))))),
% 0.90/0.89 inference('clc', [status(thm)], [zip_derived_cl222, zip_derived_cl203])).
% 0.90/0.89 thf(clause_73, axiom,
% 0.90/0.89 (( ~( LE @ ( f @ B_9 ) @ ( s @ ( s @ ( s @ 0 ) ) ) ) ) |
% 0.90/0.89 ( E @ ( s @ ( s @ 0 ) ) @ ( f @ B_9 ) ) |
% 0.90/0.89 ( LE @ ( f @ B_9 ) @ ( s @ ( s @ 0 ) ) ))).
% 0.90/0.89 thf(zip_derived_cl18, plain,
% 0.90/0.89 (![X0 : $i]:
% 0.90/0.89 (~ (LE @ (f @ X0) @ (s @ (s @ (s @ 0))))
% 0.90/0.89 | (E @ (s @ (s @ 0)) @ (f @ X0))
% 0.90/0.89 | (LE @ (f @ X0) @ (s @ (s @ 0))))),
% 0.90/0.89 inference('cnf', [status(esa)], [clause_73])).
% 0.90/0.89 thf(zip_derived_cl200, plain,
% 0.90/0.89 (![X0 : $i]: (LE @ (f @ X0) @ (s @ (s @ (s @ 0))))),
% 0.90/0.89 inference('clc', [status(thm)], [zip_derived_cl199, zip_derived_cl42])).
% 0.90/0.89 thf(zip_derived_cl202, plain,
% 0.90/0.89 (![X0 : $i]:
% 0.90/0.89 ( (E @ (s @ (s @ 0)) @ (f @ X0)) | (LE @ (f @ X0) @ (s @ (s @ 0))))),
% 0.90/0.89 inference('demod', [status(thm)], [zip_derived_cl18, zip_derived_cl200])).
% 0.90/0.89 thf(zip_derived_cl238, plain,
% 0.90/0.89 (![X0 : $i]:
% 0.90/0.89 ( (LE @ (f @ X0) @ (s @ (s @ 0))) | (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 0.90/0.89 inference('clc', [status(thm)], [zip_derived_cl237, zip_derived_cl202])).
% 0.90/0.89 thf(zip_derived_cl244, plain,
% 0.90/0.89 (![X0 : $i]:
% 0.90/0.89 ( (LE @ (f @ X0) @ (s @ (s @ 0)))
% 0.90/0.89 | ~ (E @ (s @ (s @ 0)) @ (f @ X0))
% 0.90/0.89 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0))))),
% 0.90/0.89 inference('clc', [status(thm)], [zip_derived_cl243, zip_derived_cl238])).
% 0.90/0.89 thf(zip_derived_cl202, plain,
% 0.90/0.89 (![X0 : $i]:
% 0.90/0.89 ( (E @ (s @ (s @ 0)) @ (f @ X0)) | (LE @ (f @ X0) @ (s @ (s @ 0))))),
% 0.90/0.89 inference('demod', [status(thm)], [zip_derived_cl18, zip_derived_cl200])).
% 0.90/0.89 thf(zip_derived_cl245, plain,
% 0.90/0.89 (![X0 : $i]:
% 0.90/0.89 (~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 0.90/0.89 | (LE @ (f @ X0) @ (s @ (s @ 0))))),
% 0.90/0.89 inference('clc', [status(thm)], [zip_derived_cl244, zip_derived_cl202])).
% 0.90/0.89 thf(zip_derived_cl203, plain,
% 0.90/0.89 (![X0 : $i]:
% 0.90/0.89 ( (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 0.90/0.89 | (LE @ (f @ X0) @ (s @ (s @ 0))))),
% 0.90/0.89 inference('demod', [status(thm)], [zip_derived_cl30, zip_derived_cl200])).
% 0.90/0.89 thf(zip_derived_cl246, plain, (![X0 : $i]: (LE @ (f @ X0) @ (s @ (s @ 0)))),
% 0.90/0.89 inference('clc', [status(thm)], [zip_derived_cl245, zip_derived_cl203])).
% 0.90/0.89 thf(zip_derived_cl249, plain,
% 0.90/0.89 (![X0 : $i]:
% 0.90/0.89 ( (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 0.90/0.89 | (LE @ (f @ X0) @ (s @ 0)))),
% 0.90/0.89 inference('demod', [status(thm)], [zip_derived_cl26, zip_derived_cl246])).
% 0.90/0.89 thf(clause_57, axiom,
% 0.90/0.89 (( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ B_14 ) ) ) ) |
% 0.90/0.89 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ ( suc @ B_14 ) ) ) ) ) |
% 0.90/0.89 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ A_3 ) ) ) ) |
% 0.90/0.89 ( ~( E @ ( s @ 0 ) @ ( f @ B_14 ) ) ) |
% 0.90/0.89 ( ~( E @ ( f @ B_14 ) @ ( f @ ( suc @ B_14 ) ) ) ) |
% 0.90/0.89 ( ~( E @ ( f @ A_3 ) @ ( f @ ( suc @ A_3 ) ) ) ) |
% 0.90/0.89 ( ~( E @ ( s @ 0 ) @ ( f @ A_3 ) ) ) |
% 0.90/0.89 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ ( suc @ A_3 ) ) ) ) ) |
% 0.90/0.89 ( ~( iLEQ @ ( suc @ A_3 ) @ ( suc @ B_14 ) ) ))).
% 0.90/0.89 thf(zip_derived_cl28, plain,
% 0.90/0.89 (![X0 : $i, X1 : $i]:
% 0.90/0.89 (~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 0.90/0.89 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 0.90/0.89 | ~ (E @ (s @ 0) @ (f @ (suc @ X1)))
% 0.90/0.89 | ~ (E @ (s @ 0) @ (f @ X0))
% 0.90/0.89 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.90/0.89 | ~ (E @ (f @ X1) @ (f @ (suc @ X1)))
% 0.90/0.89 | ~ (E @ (s @ 0) @ (f @ X1))
% 0.90/0.89 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X1))))
% 0.90/0.89 | ~ (iLEQ @ (suc @ X1) @ (suc @ X0)))),
% 0.90/0.89 inference('cnf', [status(esa)], [clause_57])).
% 0.90/0.89 thf(zip_derived_cl142, plain,
% 0.90/0.89 (![X0 : $i]:
% 0.90/0.89 (~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 0.90/0.89 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 0.90/0.89 | ~ (E @ (s @ 0) @ (f @ X0))
% 0.90/0.89 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.90/0.89 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.90/0.89 | ~ (E @ (s @ 0) @ (f @ X0))
% 0.90/0.89 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 0.90/0.89 | ~ (E @ (s @ 0) @ (f @ (suc @ X0))))),
% 0.90/0.89 inference('eq_fact', [status(thm)], [zip_derived_cl28])).
% 0.90/0.89 thf(zip_derived_cl143, plain,
% 0.90/0.89 (![X0 : $i]:
% 0.90/0.89 (~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 0.90/0.89 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.90/0.89 | ~ (E @ (s @ 0) @ (f @ X0))
% 0.90/0.89 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 0.90/0.89 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 0.90/0.89 inference('simplify', [status(thm)], [zip_derived_cl142])).
% 0.90/0.89 thf(clause_112, axiom,
% 0.90/0.89 (( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ B_14 ) ) ) ) |
% 0.90/0.89 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ A_3 ) ) ) ) |
% 0.90/0.89 ( ~( E @ ( s @ 0 ) @ ( f @ B_14 ) ) ) |
% 0.90/0.89 ( ~( E @ ( s @ 0 ) @ ( f @ A_3 ) ) ) |
% 0.90/0.89 ( ~( iLEQ @ ( suc @ A_3 ) @ ( suc @ B_14 ) ) ) |
% 0.90/0.89 ( E @ ( f @ A_3 ) @ ( f @ ( suc @ A_3 ) ) ) |
% 0.90/0.89 ( E @ ( f @ B_14 ) @ ( f @ ( suc @ B_14 ) ) ))).
% 0.90/0.89 thf(zip_derived_cl34, plain,
% 0.90/0.89 (![X0 : $i, X1 : $i]:
% 0.90/0.89 (~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 0.90/0.89 | ~ (E @ (s @ 0) @ (f @ (suc @ X1)))
% 0.90/0.89 | ~ (E @ (s @ 0) @ (f @ X0))
% 0.90/0.89 | ~ (E @ (s @ 0) @ (f @ X1))
% 0.90/0.89 | ~ (iLEQ @ (suc @ X1) @ (suc @ X0))
% 0.90/0.89 | (E @ (f @ X1) @ (f @ (suc @ X1)))
% 0.90/0.89 | (E @ (f @ X0) @ (f @ (suc @ X0))))),
% 0.90/0.89 inference('cnf', [status(esa)], [clause_112])).
% 0.90/0.89 thf(zip_derived_cl82, plain,
% 0.90/0.89 (![X0 : $i]:
% 0.90/0.89 ( (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.90/0.89 | (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.90/0.89 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 0.90/0.89 | ~ (E @ (s @ 0) @ (f @ X0))
% 0.90/0.89 | ~ (E @ (s @ 0) @ (f @ X0))
% 0.90/0.89 | ~ (E @ (s @ 0) @ (f @ (suc @ X0))))),
% 0.90/0.89 inference('eq_fact', [status(thm)], [zip_derived_cl34])).
% 0.90/0.89 thf(zip_derived_cl83, plain,
% 0.90/0.89 (![X0 : $i]:
% 0.90/0.89 (~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 0.90/0.89 | ~ (E @ (s @ 0) @ (f @ X0))
% 0.90/0.89 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 0.90/0.89 | (E @ (f @ X0) @ (f @ (suc @ X0))))),
% 0.90/0.89 inference('simplify', [status(thm)], [zip_derived_cl82])).
% 0.90/0.89 thf(clause_115, axiom,
% 0.90/0.89 (( ~( E @ ( s @ 0 ) @ ( f @ A_3 ) ) ) |
% 0.90/0.89 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ A_3 ) ) ) ) |
% 0.90/0.89 ( E @ ( f @ A_3 ) @ ( f @ ( suc @ A_3 ) ) ) |
% 0.90/0.89 ( iLEQ @ ( suc @ A_3 ) @ ( suc @ A_3 ) ))).
% 0.90/0.89 thf(zip_derived_cl36, plain,
% 0.90/0.89 (![X0 : $i]:
% 0.90/0.89 (~ (E @ (s @ 0) @ (f @ X0))
% 0.90/0.89 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 0.90/0.89 | (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.90/0.89 | (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 0.90/0.89 inference('cnf', [status(esa)], [clause_115])).
% 0.90/0.89 thf(zip_derived_cl120, plain,
% 0.90/0.89 (![X0 : $i]:
% 0.90/0.89 ( (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.90/0.89 | ~ (E @ (s @ 0) @ (f @ X0))
% 0.90/0.89 | ~ (E @ (s @ 0) @ (f @ (suc @ X0))))),
% 0.90/0.89 inference('clc', [status(thm)], [zip_derived_cl83, zip_derived_cl36])).
% 0.90/0.89 thf(zip_derived_cl181, plain,
% 0.90/0.89 (![X0 : $i]:
% 0.90/0.89 (~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 0.90/0.89 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 0.90/0.89 | ~ (E @ (s @ 0) @ (f @ X0))
% 0.90/0.89 | ~ (E @ (s @ 0) @ (f @ (suc @ X0))))),
% 0.90/0.89 inference('clc', [status(thm)], [zip_derived_cl143, zip_derived_cl120])).
% 0.90/0.89 thf(clause_31, axiom,
% 0.90/0.89 (( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ ( suc @ A_3 ) ) ) ) ) |
% 0.90/0.89 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ A_3 ) ) ) ) |
% 0.90/0.89 ( ~( E @ ( f @ A_3 ) @ ( f @ ( suc @ A_3 ) ) ) ) |
% 0.90/0.89 ( ~( E @ ( s @ 0 ) @ ( f @ A_3 ) ) ) |
% 0.90/0.89 ( iLEQ @ ( suc @ A_3 ) @ ( suc @ A_3 ) ))).
% 0.90/0.89 thf(zip_derived_cl23, plain,
% 0.90/0.89 (![X0 : $i]:
% 0.90/0.89 (~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 0.90/0.89 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 0.90/0.89 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.90/0.89 | ~ (E @ (s @ 0) @ (f @ X0))
% 0.90/0.89 | (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 0.90/0.89 inference('cnf', [status(esa)], [clause_31])).
% 0.90/0.89 thf(zip_derived_cl36, plain,
% 0.90/0.89 (![X0 : $i]:
% 0.90/0.89 (~ (E @ (s @ 0) @ (f @ X0))
% 0.90/0.89 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 0.90/0.89 | (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.90/0.89 | (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 0.90/0.89 inference('cnf', [status(esa)], [clause_115])).
% 0.90/0.89 thf(zip_derived_cl41, plain,
% 0.90/0.89 (![X0 : $i]:
% 0.90/0.89 ( (iLEQ @ (suc @ X0) @ (suc @ X0))
% 0.90/0.89 | ~ (E @ (s @ 0) @ (f @ X0))
% 0.90/0.89 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 0.90/0.89 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0)))))),
% 0.90/0.89 inference('clc', [status(thm)], [zip_derived_cl23, zip_derived_cl36])).
% 0.90/0.89 thf(zip_derived_cl182, plain,
% 0.90/0.89 (![X0 : $i]:
% 0.90/0.89 (~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 0.90/0.89 | ~ (E @ (s @ 0) @ (f @ X0))
% 0.90/0.89 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0)))))),
% 0.90/0.89 inference('clc', [status(thm)], [zip_derived_cl181, zip_derived_cl41])).
% 0.90/0.89 thf(zip_derived_cl262, plain,
% 0.90/0.89 (![X0 : $i]:
% 0.90/0.89 ( (LE @ (f @ X0) @ (s @ 0))
% 0.90/0.89 | ~ (E @ (s @ 0) @ (f @ X0))
% 0.90/0.89 | ~ (E @ (s @ 0) @ (f @ (suc @ X0))))),
% 0.90/0.89 inference('sup-', [status(thm)], [zip_derived_cl249, zip_derived_cl182])).
% 0.90/0.89 thf(clause_15, axiom,
% 0.90/0.89 (( ~( LE @ ( f @ B_13 ) @ ( s @ ( s @ 0 ) ) ) ) |
% 0.90/0.89 ( E @ ( s @ 0 ) @ ( f @ B_13 ) ) | ( LE @ ( f @ B_13 ) @ ( s @ 0 ) ))).
% 0.90/0.89 thf(zip_derived_cl6, plain,
% 0.90/0.89 (![X0 : $i]:
% 0.90/0.89 (~ (LE @ (f @ X0) @ (s @ (s @ 0)))
% 0.90/0.89 | (E @ (s @ 0) @ (f @ X0))
% 0.90/0.89 | (LE @ (f @ X0) @ (s @ 0)))),
% 0.90/0.89 inference('cnf', [status(esa)], [clause_15])).
% 0.90/0.89 thf(zip_derived_cl246, plain, (![X0 : $i]: (LE @ (f @ X0) @ (s @ (s @ 0)))),
% 0.90/0.89 inference('clc', [status(thm)], [zip_derived_cl245, zip_derived_cl203])).
% 0.90/0.89 thf(zip_derived_cl247, plain,
% 0.90/0.89 (![X0 : $i]: ( (E @ (s @ 0) @ (f @ X0)) | (LE @ (f @ X0) @ (s @ 0)))),
% 0.90/0.89 inference('demod', [status(thm)], [zip_derived_cl6, zip_derived_cl246])).
% 0.90/0.89 thf(zip_derived_cl263, plain,
% 0.90/0.89 (![X0 : $i]:
% 0.90/0.89 (~ (E @ (s @ 0) @ (f @ (suc @ X0))) | (LE @ (f @ X0) @ (s @ 0)))),
% 0.90/0.89 inference('clc', [status(thm)], [zip_derived_cl262, zip_derived_cl247])).
% 0.90/0.89 thf(clause_39, axiom,
% 0.90/0.89 (( ~( LE @ ( f @ ( suc @ B_13 ) ) @ ( s @ ( s @ 0 ) ) ) ) |
% 0.90/0.89 ( E @ ( s @ 0 ) @ ( f @ ( suc @ B_13 ) ) ) |
% 0.90/0.89 ( LE @ ( f @ B_13 ) @ ( s @ 0 ) ))).
% 0.90/0.89 thf(zip_derived_cl24, plain,
% 0.90/0.89 (![X0 : $i]:
% 0.90/0.89 (~ (LE @ (f @ (suc @ X0)) @ (s @ (s @ 0)))
% 0.90/0.89 | (E @ (s @ 0) @ (f @ (suc @ X0)))
% 0.90/0.89 | (LE @ (f @ X0) @ (s @ 0)))),
% 0.90/0.89 inference('cnf', [status(esa)], [clause_39])).
% 0.90/0.89 thf(zip_derived_cl246, plain, (![X0 : $i]: (LE @ (f @ X0) @ (s @ (s @ 0)))),
% 0.90/0.89 inference('clc', [status(thm)], [zip_derived_cl245, zip_derived_cl203])).
% 0.90/0.89 thf(zip_derived_cl248, plain,
% 0.90/0.89 (![X0 : $i]:
% 0.90/0.89 ( (E @ (s @ 0) @ (f @ (suc @ X0))) | (LE @ (f @ X0) @ (s @ 0)))),
% 0.90/0.89 inference('demod', [status(thm)], [zip_derived_cl24, zip_derived_cl246])).
% 0.90/0.89 thf(zip_derived_cl264, plain, (![X0 : $i]: (LE @ (f @ X0) @ (s @ 0))),
% 0.90/0.89 inference('clc', [status(thm)], [zip_derived_cl263, zip_derived_cl248])).
% 0.90/0.89 thf(zip_derived_cl267, plain,
% 0.90/0.89 (![X0 : $i]: ( (E @ 0 @ (f @ (suc @ (suc @ X0)))) | (LE @ (f @ X0) @ 0))),
% 0.90/0.89 inference('demod', [status(thm)], [zip_derived_cl35, zip_derived_cl264])).
% 0.90/0.89 thf(clause_48, axiom,
% 0.90/0.89 (( ~( E @ ( f @ A_4 ) @ ( f @ ( suc @ A_4 ) ) ) ) |
% 0.90/0.89 ( ~( E @ 0 @ ( f @ ( suc @ B_17 ) ) ) ) |
% 0.90/0.89 ( ~( iLEQ @ ( suc @ A_4 ) @ ( suc @ B_17 ) ) ) |
% 0.90/0.89 ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ B_17 ) ) ) ) ) |
% 0.90/0.89 ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ A_4 ) ) ) ) ) |
% 0.90/0.89 ( ~( E @ 0 @ ( f @ B_17 ) ) ) | ( ~( E @ 0 @ ( f @ ( suc @ A_4 ) ) ) ) |
% 0.90/0.89 ( ~( E @ ( f @ B_17 ) @ ( f @ ( suc @ B_17 ) ) ) ) |
% 0.90/0.89 ( ~( E @ 0 @ ( f @ A_4 ) ) ))).
% 0.90/0.89 thf(zip_derived_cl19, plain,
% 0.90/0.89 (![X0 : $i, X1 : $i]:
% 0.90/0.89 (~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.90/0.89 | ~ (E @ 0 @ (f @ (suc @ X1)))
% 0.90/0.89 | ~ (iLEQ @ (suc @ X0) @ (suc @ X1))
% 0.90/0.89 | ~ (E @ 0 @ (f @ (suc @ (suc @ X1))))
% 0.90/0.89 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 0.90/0.89 | ~ (E @ 0 @ (f @ X1))
% 0.90/0.89 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.90/0.89 | ~ (E @ (f @ X1) @ (f @ (suc @ X1)))
% 0.90/0.89 | ~ (E @ 0 @ (f @ X0)))),
% 0.90/0.89 inference('cnf', [status(esa)], [clause_48])).
% 0.90/0.89 thf(zip_derived_cl84, plain,
% 0.90/0.89 (![X0 : $i]:
% 0.90/0.89 (~ (E @ 0 @ (f @ X0))
% 0.90/0.89 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.90/0.89 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.90/0.89 | ~ (E @ 0 @ (f @ X0))
% 0.90/0.89 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 0.90/0.89 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 0.90/0.89 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.90/0.89 | ~ (E @ (f @ X0) @ (f @ (suc @ X0))))),
% 0.90/0.89 inference('eq_fact', [status(thm)], [zip_derived_cl19])).
% 0.90/0.89 thf(zip_derived_cl85, plain,
% 0.90/0.89 (![X0 : $i]:
% 0.90/0.89 (~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 0.90/0.89 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 0.90/0.89 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.90/0.89 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.90/0.89 | ~ (E @ 0 @ (f @ X0)))),
% 0.90/0.89 inference('simplify', [status(thm)], [zip_derived_cl84])).
% 0.90/0.89 thf(clause_114, axiom,
% 0.90/0.89 (( ~( E @ 0 @ ( f @ ( suc @ ( suc @ A_4 ) ) ) ) ) |
% 0.90/0.89 ( ~( E @ 0 @ ( f @ ( suc @ A_4 ) ) ) ) |
% 0.90/0.89 ( ~( E @ ( f @ A_4 ) @ ( f @ ( suc @ A_4 ) ) ) ) |
% 0.90/0.89 ( ~( E @ 0 @ ( f @ A_4 ) ) ) | ( iLEQ @ ( suc @ A_4 ) @ ( suc @ A_4 ) ))).
% 0.90/0.89 thf(zip_derived_cl37, plain,
% 0.90/0.89 (![X0 : $i]:
% 0.90/0.89 (~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 0.90/0.89 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.90/0.89 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.90/0.89 | ~ (E @ 0 @ (f @ X0))
% 0.90/0.89 | (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 0.90/0.89 inference('cnf', [status(esa)], [clause_114])).
% 0.90/0.89 thf(clause_150, axiom,
% 0.90/0.89 (( ~( E @ 0 @ ( f @ A_4 ) ) ) | ( ~( E @ 0 @ ( f @ ( suc @ A_4 ) ) ) ) |
% 0.90/0.89 ( E @ ( f @ A_4 ) @ ( f @ ( suc @ A_4 ) ) ) |
% 0.90/0.89 ( iLEQ @ ( suc @ A_4 ) @ ( suc @ A_4 ) ))).
% 0.90/0.89 thf(zip_derived_cl22, plain,
% 0.90/0.89 (![X0 : $i]:
% 0.90/0.89 (~ (E @ 0 @ (f @ X0))
% 0.90/0.89 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.90/0.89 | (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.90/0.89 | (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 0.90/0.89 inference('cnf', [status(esa)], [clause_150])).
% 0.90/0.89 thf(zip_derived_cl40, plain,
% 0.90/0.89 (![X0 : $i]:
% 0.90/0.89 ( (iLEQ @ (suc @ X0) @ (suc @ X0))
% 0.90/0.89 | ~ (E @ 0 @ (f @ X0))
% 0.90/0.89 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.90/0.89 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0)))))),
% 0.90/0.89 inference('clc', [status(thm)], [zip_derived_cl37, zip_derived_cl22])).
% 0.90/0.89 thf(zip_derived_cl118, plain,
% 0.90/0.89 (![X0 : $i]:
% 0.90/0.89 (~ (E @ 0 @ (f @ X0))
% 0.90/0.89 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.90/0.89 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.90/0.89 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0)))))),
% 0.90/0.89 inference('clc', [status(thm)], [zip_derived_cl85, zip_derived_cl40])).
% 0.90/0.89 thf(clause_0, axiom,
% 0.90/0.89 (( ~( E @ 0 @ ( f @ ( suc @ B_17 ) ) ) ) |
% 0.90/0.89 ( ~( iLEQ @ ( suc @ A_4 ) @ ( suc @ B_17 ) ) ) |
% 0.90/0.89 ( ~( E @ 0 @ ( f @ B_17 ) ) ) | ( ~( E @ 0 @ ( f @ ( suc @ A_4 ) ) ) ) |
% 0.90/0.89 ( ~( E @ 0 @ ( f @ A_4 ) ) ) |
% 0.90/0.89 ( E @ ( f @ A_4 ) @ ( f @ ( suc @ A_4 ) ) ) |
% 0.90/0.89 ( E @ ( f @ B_17 ) @ ( f @ ( suc @ B_17 ) ) ))).
% 0.90/0.89 thf(zip_derived_cl16, plain,
% 0.90/0.89 (![X0 : $i, X1 : $i]:
% 0.90/0.89 (~ (E @ 0 @ (f @ (suc @ X0)))
% 0.90/0.89 | ~ (iLEQ @ (suc @ X1) @ (suc @ X0))
% 0.90/0.89 | ~ (E @ 0 @ (f @ X0))
% 0.90/0.89 | ~ (E @ 0 @ (f @ (suc @ X1)))
% 0.90/0.89 | ~ (E @ 0 @ (f @ X1))
% 0.90/0.89 | (E @ (f @ X1) @ (f @ (suc @ X1)))
% 0.90/0.89 | (E @ (f @ X0) @ (f @ (suc @ X0))))),
% 0.90/0.89 inference('cnf', [status(esa)], [clause_0])).
% 0.90/0.89 thf(zip_derived_cl79, plain,
% 0.90/0.89 (![X0 : $i]:
% 0.90/0.89 ( (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.90/0.89 | (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.90/0.89 | ~ (E @ 0 @ (f @ X0))
% 0.90/0.89 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.90/0.89 | ~ (E @ 0 @ (f @ X0))
% 0.90/0.89 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 0.90/0.89 inference('eq_fact', [status(thm)], [zip_derived_cl16])).
% 0.90/0.89 thf(zip_derived_cl80, plain,
% 0.90/0.89 (![X0 : $i]:
% 0.90/0.89 (~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 0.90/0.89 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.90/0.89 | ~ (E @ 0 @ (f @ X0))
% 0.90/0.89 | (E @ (f @ X0) @ (f @ (suc @ X0))))),
% 0.90/0.89 inference('simplify', [status(thm)], [zip_derived_cl79])).
% 0.90/0.89 thf(zip_derived_cl22, plain,
% 0.90/0.89 (![X0 : $i]:
% 0.90/0.89 (~ (E @ 0 @ (f @ X0))
% 0.90/0.89 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.90/0.89 | (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.90/0.89 | (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 0.90/0.89 inference('cnf', [status(esa)], [clause_150])).
% 0.90/0.89 thf(zip_derived_cl117, plain,
% 0.90/0.89 (![X0 : $i]:
% 0.90/0.89 ( (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.90/0.89 | ~ (E @ 0 @ (f @ X0))
% 0.90/0.89 | ~ (E @ 0 @ (f @ (suc @ X0))))),
% 0.90/0.89 inference('clc', [status(thm)], [zip_derived_cl80, zip_derived_cl22])).
% 0.90/0.89 thf(zip_derived_cl119, plain,
% 0.90/0.89 (![X0 : $i]:
% 0.90/0.89 (~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 0.90/0.89 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.90/0.89 | ~ (E @ 0 @ (f @ X0)))),
% 0.90/0.89 inference('clc', [status(thm)], [zip_derived_cl118, zip_derived_cl117])).
% 0.90/0.89 thf(zip_derived_cl276, plain,
% 0.90/0.89 (![X0 : $i]:
% 0.90/0.89 ( (LE @ (f @ X0) @ 0)
% 0.90/0.89 | ~ (E @ 0 @ (f @ X0))
% 0.90/0.89 | ~ (E @ 0 @ (f @ (suc @ X0))))),
% 0.90/0.89 inference('sup-', [status(thm)], [zip_derived_cl267, zip_derived_cl119])).
% 0.90/0.89 thf(clause_145, axiom,
% 0.90/0.89 (( ~( LE @ ( f @ B_16 ) @ ( s @ 0 ) ) ) | ( E @ 0 @ ( f @ B_16 ) ) |
% 0.90/0.89 ( LE @ ( f @ B_16 ) @ 0 ))).
% 0.90/0.89 thf(zip_derived_cl13, plain,
% 0.90/0.89 (![X0 : $i]:
% 0.90/0.89 (~ (LE @ (f @ X0) @ (s @ 0))
% 0.90/0.89 | (E @ 0 @ (f @ X0))
% 0.90/0.89 | (LE @ (f @ X0) @ 0))),
% 0.90/0.89 inference('cnf', [status(esa)], [clause_145])).
% 0.90/0.89 thf(zip_derived_cl264, plain, (![X0 : $i]: (LE @ (f @ X0) @ (s @ 0))),
% 0.90/0.89 inference('clc', [status(thm)], [zip_derived_cl263, zip_derived_cl248])).
% 0.90/0.89 thf(zip_derived_cl266, plain,
% 0.90/0.89 (![X0 : $i]: ( (E @ 0 @ (f @ X0)) | (LE @ (f @ X0) @ 0))),
% 0.90/0.89 inference('demod', [status(thm)], [zip_derived_cl13, zip_derived_cl264])).
% 0.90/0.89 thf(zip_derived_cl282, plain,
% 0.90/0.89 (![X0 : $i]: (~ (E @ 0 @ (f @ (suc @ X0))) | (LE @ (f @ X0) @ 0))),
% 0.90/0.89 inference('clc', [status(thm)], [zip_derived_cl276, zip_derived_cl266])).
% 0.90/0.89 thf(clause_2, axiom,
% 0.90/0.89 (( ~( LE @ ( f @ ( suc @ B_16 ) ) @ ( s @ 0 ) ) ) |
% 0.90/0.89 ( E @ 0 @ ( f @ ( suc @ B_16 ) ) ) | ( LE @ ( f @ B_16 ) @ 0 ))).
% 0.90/0.89 thf(zip_derived_cl12, plain,
% 0.90/0.89 (![X0 : $i]:
% 0.90/0.89 (~ (LE @ (f @ (suc @ X0)) @ (s @ 0))
% 0.90/0.89 | (E @ 0 @ (f @ (suc @ X0)))
% 0.90/0.89 | (LE @ (f @ X0) @ 0))),
% 0.90/0.89 inference('cnf', [status(esa)], [clause_2])).
% 0.90/0.89 thf(zip_derived_cl264, plain, (![X0 : $i]: (LE @ (f @ X0) @ (s @ 0))),
% 0.90/0.89 inference('clc', [status(thm)], [zip_derived_cl263, zip_derived_cl248])).
% 0.90/0.89 thf(zip_derived_cl265, plain,
% 0.90/0.89 (![X0 : $i]: ( (E @ 0 @ (f @ (suc @ X0))) | (LE @ (f @ X0) @ 0))),
% 0.90/0.89 inference('demod', [status(thm)], [zip_derived_cl12, zip_derived_cl264])).
% 0.90/0.89 thf(zip_derived_cl283, plain, (![X0 : $i]: (LE @ (f @ X0) @ 0)),
% 0.90/0.89 inference('clc', [status(thm)], [zip_derived_cl282, zip_derived_cl265])).
% 0.90/0.89 thf(zip_derived_cl284, plain, ($false),
% 0.90/0.89 inference('demod', [status(thm)], [zip_derived_cl27, zip_derived_cl283])).
% 0.90/0.89
% 0.90/0.89 % SZS output end Refutation
% 0.90/0.89
% 0.90/0.89
% 0.90/0.89 % Terminating...
% 1.89/0.97 % Runner terminated.
% 1.93/0.99 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------