TSTP Solution File: SYO675-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYO675-1 : 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.QvOW4yWm2q true
% Computer : n014.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 05:52:31 EDT 2023
% Result : Unsatisfiable 1.29s 0.88s
% Output : Refutation 1.29s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : SYO675-1 : TPTP v8.1.2. Released v7.3.0.
% 0.00/0.15 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.QvOW4yWm2q true
% 0.14/0.37 % Computer : n014.cluster.edu
% 0.14/0.37 % Model : x86_64 x86_64
% 0.14/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.37 % Memory : 8042.1875MB
% 0.14/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.37 % CPULimit : 300
% 0.14/0.37 % WCLimit : 300
% 0.14/0.37 % DateTime : Sat Aug 26 06:16:47 EDT 2023
% 0.14/0.37 % CPUTime :
% 0.14/0.37 % Running portfolio for 300 s
% 0.14/0.37 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.37 % Number of cores: 8
% 0.14/0.37 % Python version: Python 3.6.8
% 0.14/0.38 % Running in FO mode
% 0.22/0.69 % Total configuration time : 435
% 0.22/0.69 % Estimated wc time : 1092
% 0.22/0.69 % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.76 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.76 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.77 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.77 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.78 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.79 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.22/0.81 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.29/0.88 % Solved by fo/fo1_av.sh.
% 1.29/0.88 % done 80 iterations in 0.076s
% 1.29/0.88 % SZS status Unsatisfiable for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.29/0.88 % SZS output start Refutation
% 1.29/0.88 thf(0_type, type, 0: $i).
% 1.29/0.88 thf(z_type, type, z: $i).
% 1.29/0.88 thf(suc_type, type, suc: $i > $i).
% 1.29/0.88 thf(f_type, type, f: $i > $i).
% 1.29/0.88 thf(E_type, type, E: $i > $i > $o).
% 1.29/0.88 thf(s_type, type, s: $i > $i).
% 1.29/0.88 thf(LE_type, type, LE: $i > $i > $o).
% 1.29/0.88 thf(clause_21, axiom, (~( LE @ ( f @ z ) @ 0 ))).
% 1.29/0.88 thf(zip_derived_cl17, plain, (~ (LE @ (f @ z) @ 0)),
% 1.29/0.88 inference('cnf', [status(esa)], [clause_21])).
% 1.29/0.88 thf(clause_20, axiom,
% 1.29/0.88 (( ~( LE @ ( f @ ( suc @ ( suc @ ( suc @ B_2 ) ) ) ) @ ( s @ 0 ) ) ) |
% 1.29/0.88 ( E @ 0 @ ( f @ ( suc @ ( suc @ ( suc @ B_2 ) ) ) ) ) |
% 1.29/0.88 ( LE @ ( f @ B_2 ) @ 0 ))).
% 1.29/0.88 thf(zip_derived_cl2, plain,
% 1.29/0.88 (![X0 : $i]:
% 1.29/0.88 (~ (LE @ (f @ (suc @ (suc @ (suc @ X0)))) @ (s @ 0))
% 1.29/0.88 | (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0)))))
% 1.29/0.88 | (LE @ (f @ X0) @ 0))),
% 1.29/0.88 inference('cnf', [status(esa)], [clause_20])).
% 1.29/0.88 thf(clause_15, axiom,
% 1.29/0.88 (( ~( LE @ ( f @ ( suc @ ( suc @ ( suc @ B_1 ) ) ) ) @ ( s @ ( s @ 0 ) ) ) ) |
% 1.29/0.88 ( E @ ( s @ 0 ) @ ( f @ ( suc @ ( suc @ ( suc @ B_1 ) ) ) ) ) |
% 1.29/0.88 ( LE @ ( f @ B_1 ) @ ( s @ 0 ) ))).
% 1.29/0.88 thf(zip_derived_cl20, plain,
% 1.29/0.88 (![X0 : $i]:
% 1.29/0.88 (~ (LE @ (f @ (suc @ (suc @ (suc @ X0)))) @ (s @ (s @ 0)))
% 1.29/0.88 | (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 1.29/0.88 | (LE @ (f @ X0) @ (s @ 0)))),
% 1.29/0.88 inference('cnf', [status(esa)], [clause_15])).
% 1.29/0.88 thf(clause_18, axiom,
% 1.29/0.88 (( ~( LE @ ( f @ ( suc @ ( suc @ B_0 ) ) ) @ ( s @ ( s @ ( s @ 0 ) ) ) ) ) |
% 1.29/0.88 ( E @ ( s @ ( s @ 0 ) ) @ ( f @ ( suc @ ( suc @ B_0 ) ) ) ) |
% 1.29/0.88 ( LE @ ( f @ B_0 ) @ ( s @ ( s @ 0 ) ) ))).
% 1.29/0.88 thf(zip_derived_cl10, plain,
% 1.29/0.88 (![X0 : $i]:
% 1.29/0.88 (~ (LE @ (f @ (suc @ (suc @ X0))) @ (s @ (s @ (s @ 0))))
% 1.29/0.88 | (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ X0))))
% 1.29/0.88 | (LE @ (f @ X0) @ (s @ (s @ 0))))),
% 1.29/0.88 inference('cnf', [status(esa)], [clause_18])).
% 1.29/0.88 thf(clause_6, axiom,
% 1.29/0.88 (( ~( LE @
% 1.29/0.88 ( f @ ( suc @ ( suc @ ( suc @ B ) ) ) ) @
% 1.29/0.88 ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) ) ) |
% 1.29/0.88 ( E @ ( s @ ( s @ ( s @ 0 ) ) ) @ ( f @ ( suc @ ( suc @ ( suc @ B ) ) ) ) ) |
% 1.29/0.88 ( LE @ ( f @ B ) @ ( s @ ( s @ ( s @ 0 ) ) ) ))).
% 1.29/0.88 thf(zip_derived_cl27, plain,
% 1.29/0.88 (![X0 : $i]:
% 1.29/0.88 (~ (LE @ (f @ (suc @ (suc @ (suc @ X0)))) @ (s @ (s @ (s @ (s @ 0)))))
% 1.29/0.88 | (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 1.29/0.88 | (LE @ (f @ X0) @ (s @ (s @ (s @ 0)))))),
% 1.29/0.88 inference('cnf', [status(esa)], [clause_6])).
% 1.29/0.88 thf(clause_30, axiom, (LE @ ( f @ A ) @ ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ))).
% 1.29/0.88 thf(zip_derived_cl29, plain,
% 1.29/0.88 (![X0 : $i]: (LE @ (f @ X0) @ (s @ (s @ (s @ (s @ 0)))))),
% 1.29/0.88 inference('cnf', [status(esa)], [clause_30])).
% 1.29/0.88 thf(zip_derived_cl65, plain,
% 1.29/0.88 (![X0 : $i]:
% 1.29/0.88 ( (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 1.29/0.88 | (LE @ (f @ X0) @ (s @ (s @ (s @ 0)))))),
% 1.29/0.88 inference('demod', [status(thm)], [zip_derived_cl27, zip_derived_cl29])).
% 1.29/0.88 thf(clause_8, axiom,
% 1.29/0.88 (( ~( E @
% 1.29/0.88 ( s @ ( s @ ( s @ 0 ) ) ) @ ( f @ ( suc @ ( suc @ ( suc @ A_1 ) ) ) ) ) ) |
% 1.29/0.88 ( ~( E @ ( s @ ( s @ ( s @ 0 ) ) ) @ ( f @ A_1 ) ) ) |
% 1.29/0.88 ( ~( E @ ( s @ ( s @ ( s @ 0 ) ) ) @ ( f @ ( suc @ ( suc @ A_1 ) ) ) ) ) |
% 1.29/0.88 ( ~( E @ ( f @ A_1 ) @ ( f @ ( suc @ ( suc @ A_1 ) ) ) ) ) |
% 1.29/0.88 ( ~( E @ ( f @ A_1 ) @ ( f @ ( suc @ A_1 ) ) ) ) |
% 1.29/0.88 ( ~( E @ ( s @ ( s @ ( s @ 0 ) ) ) @ ( f @ ( suc @ A_1 ) ) ) ))).
% 1.29/0.88 thf(zip_derived_cl23, plain,
% 1.29/0.88 (![X0 : $i]:
% 1.29/0.88 (~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 1.29/0.88 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ X0))
% 1.29/0.88 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ (suc @ X0))))
% 1.29/0.88 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 1.29/0.88 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.29/0.88 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ X0))))),
% 1.29/0.88 inference('cnf', [status(esa)], [clause_8])).
% 1.29/0.88 thf(clause_31, axiom,
% 1.29/0.88 (( ~( E @ ( s @ ( s @ ( s @ 0 ) ) ) @ ( f @ ( suc @ ( suc @ A_1 ) ) ) ) ) |
% 1.29/0.88 ( ~( E @ ( s @ ( s @ ( s @ 0 ) ) ) @ ( f @ ( suc @ A_1 ) ) ) ) |
% 1.29/0.88 ( ~( E @ ( f @ A_1 ) @ ( f @ ( suc @ A_1 ) ) ) ) |
% 1.29/0.88 ( ~( E @ ( s @ ( s @ ( s @ 0 ) ) ) @ ( f @ A_1 ) ) ) |
% 1.29/0.88 ( E @ ( f @ A_1 ) @ ( f @ ( suc @ ( suc @ A_1 ) ) ) ))).
% 1.29/0.88 thf(zip_derived_cl3, plain,
% 1.29/0.88 (![X0 : $i]:
% 1.29/0.88 (~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ (suc @ X0))))
% 1.29/0.88 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ X0)))
% 1.29/0.88 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.29/0.88 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ X0))
% 1.29/0.88 | (E @ (f @ X0) @ (f @ (suc @ (suc @ X0)))))),
% 1.29/0.88 inference('cnf', [status(esa)], [clause_31])).
% 1.29/0.88 thf(clause_2, axiom,
% 1.29/0.88 (( ~( E @ ( s @ ( s @ ( s @ 0 ) ) ) @ ( f @ A_1 ) ) ) |
% 1.29/0.88 ( ~( E @ ( s @ ( s @ ( s @ 0 ) ) ) @ ( f @ ( suc @ A_1 ) ) ) ) |
% 1.29/0.88 ( E @ ( f @ A_1 ) @ ( f @ ( suc @ A_1 ) ) ))).
% 1.29/0.88 thf(zip_derived_cl13, plain,
% 1.29/0.88 (![X0 : $i]:
% 1.29/0.88 (~ (E @ (s @ (s @ (s @ 0))) @ (f @ X0))
% 1.29/0.88 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ X0)))
% 1.29/0.88 | (E @ (f @ X0) @ (f @ (suc @ X0))))),
% 1.29/0.88 inference('cnf', [status(esa)], [clause_2])).
% 1.29/0.88 thf(zip_derived_cl31, plain,
% 1.29/0.88 (![X0 : $i]:
% 1.29/0.88 ( (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 1.29/0.88 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ X0))
% 1.29/0.88 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ X0)))
% 1.29/0.88 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ (suc @ X0)))))),
% 1.29/0.88 inference('clc', [status(thm)], [zip_derived_cl3, zip_derived_cl13])).
% 1.29/0.88 thf(zip_derived_cl49, plain,
% 1.29/0.88 (![X0 : $i]:
% 1.29/0.88 (~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ X0)))
% 1.29/0.88 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.29/0.88 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ (suc @ X0))))
% 1.29/0.88 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ X0))
% 1.29/0.88 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ (suc @ (suc @ X0))))))),
% 1.29/0.88 inference('clc', [status(thm)], [zip_derived_cl23, zip_derived_cl31])).
% 1.29/0.88 thf(zip_derived_cl13, plain,
% 1.29/0.88 (![X0 : $i]:
% 1.29/0.88 (~ (E @ (s @ (s @ (s @ 0))) @ (f @ X0))
% 1.29/0.88 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ X0)))
% 1.29/0.88 | (E @ (f @ X0) @ (f @ (suc @ X0))))),
% 1.29/0.88 inference('cnf', [status(esa)], [clause_2])).
% 1.29/0.88 thf(zip_derived_cl50, plain,
% 1.29/0.88 (![X0 : $i]:
% 1.29/0.88 (~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 1.29/0.88 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ X0))
% 1.29/0.88 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ (suc @ X0))))
% 1.29/0.88 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ X0))))),
% 1.29/0.88 inference('clc', [status(thm)], [zip_derived_cl49, zip_derived_cl13])).
% 1.29/0.88 thf(zip_derived_cl68, plain,
% 1.29/0.88 (![X0 : $i]:
% 1.29/0.88 ( (LE @ (f @ X0) @ (s @ (s @ (s @ 0))))
% 1.29/0.88 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ X0))
% 1.29/0.88 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ (suc @ X0))))
% 1.29/0.88 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ X0))))),
% 1.29/0.88 inference('s_sup-', [status(thm)], [zip_derived_cl65, zip_derived_cl50])).
% 1.29/0.88 thf(clause_36, axiom,
% 1.29/0.88 (( ~( LE @ ( f @ B ) @ ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) ) ) |
% 1.29/0.88 ( E @ ( s @ ( s @ ( s @ 0 ) ) ) @ ( f @ B ) ) |
% 1.29/0.88 ( LE @ ( f @ B ) @ ( s @ ( s @ ( s @ 0 ) ) ) ))).
% 1.29/0.88 thf(zip_derived_cl19, plain,
% 1.29/0.88 (![X0 : $i]:
% 1.29/0.88 (~ (LE @ (f @ X0) @ (s @ (s @ (s @ (s @ 0)))))
% 1.29/0.88 | (E @ (s @ (s @ (s @ 0))) @ (f @ X0))
% 1.29/0.88 | (LE @ (f @ X0) @ (s @ (s @ (s @ 0)))))),
% 1.29/0.88 inference('cnf', [status(esa)], [clause_36])).
% 1.29/0.88 thf(zip_derived_cl29, plain,
% 1.29/0.88 (![X0 : $i]: (LE @ (f @ X0) @ (s @ (s @ (s @ (s @ 0)))))),
% 1.29/0.88 inference('cnf', [status(esa)], [clause_30])).
% 1.29/0.88 thf(zip_derived_cl33, plain,
% 1.29/0.88 (![X0 : $i]:
% 1.29/0.88 ( (E @ (s @ (s @ (s @ 0))) @ (f @ X0))
% 1.29/0.88 | (LE @ (f @ X0) @ (s @ (s @ (s @ 0)))))),
% 1.29/0.88 inference('demod', [status(thm)], [zip_derived_cl19, zip_derived_cl29])).
% 1.29/0.88 thf(zip_derived_cl84, plain,
% 1.29/0.88 (![X0 : $i]:
% 1.29/0.88 (~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ X0)))
% 1.29/0.88 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ (suc @ X0))))
% 1.29/0.88 | (LE @ (f @ X0) @ (s @ (s @ (s @ 0)))))),
% 1.29/0.88 inference('clc', [status(thm)], [zip_derived_cl68, zip_derived_cl33])).
% 1.29/0.88 thf(clause_32, axiom,
% 1.29/0.88 (( ~( LE @ ( f @ ( suc @ B ) ) @ ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) ) ) |
% 1.29/0.88 ( E @ ( s @ ( s @ ( s @ 0 ) ) ) @ ( f @ ( suc @ B ) ) ) |
% 1.29/0.88 ( LE @ ( f @ B ) @ ( s @ ( s @ ( s @ 0 ) ) ) ))).
% 1.29/0.88 thf(zip_derived_cl24, plain,
% 1.29/0.88 (![X0 : $i]:
% 1.29/0.88 (~ (LE @ (f @ (suc @ X0)) @ (s @ (s @ (s @ (s @ 0)))))
% 1.29/0.88 | (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ X0)))
% 1.29/0.88 | (LE @ (f @ X0) @ (s @ (s @ (s @ 0)))))),
% 1.29/0.88 inference('cnf', [status(esa)], [clause_32])).
% 1.29/0.88 thf(zip_derived_cl29, plain,
% 1.29/0.88 (![X0 : $i]: (LE @ (f @ X0) @ (s @ (s @ (s @ (s @ 0)))))),
% 1.29/0.88 inference('cnf', [status(esa)], [clause_30])).
% 1.29/0.88 thf(zip_derived_cl44, plain,
% 1.29/0.88 (![X0 : $i]:
% 1.29/0.88 ( (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ X0)))
% 1.29/0.88 | (LE @ (f @ X0) @ (s @ (s @ (s @ 0)))))),
% 1.29/0.88 inference('demod', [status(thm)], [zip_derived_cl24, zip_derived_cl29])).
% 1.29/0.88 thf(zip_derived_cl85, plain,
% 1.29/0.88 (![X0 : $i]:
% 1.29/0.88 ( (LE @ (f @ X0) @ (s @ (s @ (s @ 0))))
% 1.29/0.88 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ (suc @ X0)))))),
% 1.29/0.88 inference('clc', [status(thm)], [zip_derived_cl84, zip_derived_cl44])).
% 1.29/0.88 thf(clause_1, axiom,
% 1.29/0.88 (( ~( LE @
% 1.29/0.88 ( f @ ( suc @ ( suc @ B ) ) ) @ ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) ) ) |
% 1.29/0.88 ( E @ ( s @ ( s @ ( s @ 0 ) ) ) @ ( f @ ( suc @ ( suc @ B ) ) ) ) |
% 1.29/0.88 ( LE @ ( f @ B ) @ ( s @ ( s @ ( s @ 0 ) ) ) ))).
% 1.29/0.88 thf(zip_derived_cl18, plain,
% 1.29/0.88 (![X0 : $i]:
% 1.29/0.88 (~ (LE @ (f @ (suc @ (suc @ X0))) @ (s @ (s @ (s @ (s @ 0)))))
% 1.29/0.88 | (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ (suc @ X0))))
% 1.29/0.88 | (LE @ (f @ X0) @ (s @ (s @ (s @ 0)))))),
% 1.29/0.88 inference('cnf', [status(esa)], [clause_1])).
% 1.29/0.88 thf(zip_derived_cl29, plain,
% 1.29/0.88 (![X0 : $i]: (LE @ (f @ X0) @ (s @ (s @ (s @ (s @ 0)))))),
% 1.29/0.88 inference('cnf', [status(esa)], [clause_30])).
% 1.29/0.88 thf(zip_derived_cl55, plain,
% 1.29/0.88 (![X0 : $i]:
% 1.29/0.88 ( (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ (suc @ X0))))
% 1.29/0.88 | (LE @ (f @ X0) @ (s @ (s @ (s @ 0)))))),
% 1.29/0.88 inference('demod', [status(thm)], [zip_derived_cl18, zip_derived_cl29])).
% 1.29/0.88 thf(zip_derived_cl86, plain,
% 1.29/0.88 (![X0 : $i]: (LE @ (f @ X0) @ (s @ (s @ (s @ 0))))),
% 1.29/0.88 inference('clc', [status(thm)], [zip_derived_cl85, zip_derived_cl55])).
% 1.29/0.88 thf(zip_derived_cl89, plain,
% 1.29/0.88 (![X0 : $i]:
% 1.29/0.88 ( (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ X0))))
% 1.29/0.88 | (LE @ (f @ X0) @ (s @ (s @ 0))))),
% 1.29/0.88 inference('demod', [status(thm)], [zip_derived_cl10, zip_derived_cl86])).
% 1.29/0.88 thf(clause_24, axiom,
% 1.29/0.88 (( ~( E @ ( s @ ( s @ 0 ) ) @ ( f @ ( suc @ ( suc @ A_2 ) ) ) ) ) |
% 1.29/0.88 ( ~( E @ ( s @ ( s @ 0 ) ) @ ( f @ ( suc @ A_2 ) ) ) ) |
% 1.29/0.88 ( ~( E @ ( f @ A_2 ) @ ( f @ ( suc @ A_2 ) ) ) ) |
% 1.29/0.88 ( ~( E @ ( s @ ( s @ 0 ) ) @ ( f @ A_2 ) ) ) |
% 1.29/0.88 ( E @ ( f @ A_2 ) @ ( f @ ( suc @ ( suc @ A_2 ) ) ) ))).
% 1.29/0.88 thf(zip_derived_cl12, plain,
% 1.29/0.88 (![X0 : $i]:
% 1.29/0.88 (~ (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ X0))))
% 1.29/0.88 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 1.29/0.88 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.29/0.88 | ~ (E @ (s @ (s @ 0)) @ (f @ X0))
% 1.29/0.88 | (E @ (f @ X0) @ (f @ (suc @ (suc @ X0)))))),
% 1.29/0.88 inference('cnf', [status(esa)], [clause_24])).
% 1.29/0.88 thf(clause_26, axiom,
% 1.29/0.88 (( ~( E @ ( s @ ( s @ 0 ) ) @ ( f @ A_2 ) ) ) |
% 1.29/0.88 ( ~( E @ ( s @ ( s @ 0 ) ) @ ( f @ ( suc @ A_2 ) ) ) ) |
% 1.29/0.88 ( E @ ( f @ A_2 ) @ ( f @ ( suc @ A_2 ) ) ))).
% 1.29/0.88 thf(zip_derived_cl6, plain,
% 1.29/0.88 (![X0 : $i]:
% 1.29/0.88 (~ (E @ (s @ (s @ 0)) @ (f @ X0))
% 1.29/0.88 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 1.29/0.88 | (E @ (f @ X0) @ (f @ (suc @ X0))))),
% 1.29/0.88 inference('cnf', [status(esa)], [clause_26])).
% 1.29/0.88 thf(zip_derived_cl54, plain,
% 1.29/0.88 (![X0 : $i]:
% 1.29/0.88 ( (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 1.29/0.88 | ~ (E @ (s @ (s @ 0)) @ (f @ X0))
% 1.29/0.88 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 1.29/0.88 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ X0)))))),
% 1.29/0.88 inference('clc', [status(thm)], [zip_derived_cl12, zip_derived_cl6])).
% 1.29/0.88 thf(zip_derived_cl101, plain,
% 1.29/0.88 (![X0 : $i]:
% 1.29/0.88 ( (LE @ (f @ X0) @ (s @ (s @ 0)))
% 1.29/0.88 | (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 1.29/0.88 | ~ (E @ (s @ (s @ 0)) @ (f @ X0))
% 1.29/0.88 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0))))),
% 1.29/0.88 inference('s_sup-', [status(thm)], [zip_derived_cl89, zip_derived_cl54])).
% 1.29/0.88 thf(clause_10, axiom,
% 1.29/0.88 (( ~( LE @
% 1.29/0.88 ( f @ ( suc @ ( suc @ ( suc @ B_0 ) ) ) ) @ ( s @ ( s @ ( s @ 0 ) ) ) ) ) |
% 1.29/0.88 ( E @ ( s @ ( s @ 0 ) ) @ ( f @ ( suc @ ( suc @ ( suc @ B_0 ) ) ) ) ) |
% 1.29/0.88 ( LE @ ( f @ B_0 ) @ ( s @ ( s @ 0 ) ) ))).
% 1.29/0.88 thf(zip_derived_cl4, plain,
% 1.29/0.88 (![X0 : $i]:
% 1.29/0.88 (~ (LE @ (f @ (suc @ (suc @ (suc @ X0)))) @ (s @ (s @ (s @ 0))))
% 1.29/0.88 | (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 1.29/0.88 | (LE @ (f @ X0) @ (s @ (s @ 0))))),
% 1.29/0.88 inference('cnf', [status(esa)], [clause_10])).
% 1.29/0.88 thf(zip_derived_cl86, plain,
% 1.29/0.88 (![X0 : $i]: (LE @ (f @ X0) @ (s @ (s @ (s @ 0))))),
% 1.29/0.88 inference('clc', [status(thm)], [zip_derived_cl85, zip_derived_cl55])).
% 1.29/0.88 thf(zip_derived_cl87, plain,
% 1.29/0.88 (![X0 : $i]:
% 1.29/0.88 ( (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 1.29/0.88 | (LE @ (f @ X0) @ (s @ (s @ 0))))),
% 1.29/0.88 inference('demod', [status(thm)], [zip_derived_cl4, zip_derived_cl86])).
% 1.29/0.88 thf(clause_17, axiom,
% 1.29/0.88 (( ~( E @ ( f @ A_2 ) @ ( f @ ( suc @ ( suc @ A_2 ) ) ) ) ) |
% 1.29/0.88 ( ~( E @ ( s @ ( s @ 0 ) ) @ ( f @ ( suc @ A_2 ) ) ) ) |
% 1.29/0.88 ( ~( E @ ( s @ ( s @ 0 ) ) @ ( f @ ( suc @ ( suc @ A_2 ) ) ) ) ) |
% 1.29/0.88 ( ~( E @ ( s @ ( s @ 0 ) ) @ ( f @ A_2 ) ) ) |
% 1.29/0.88 ( ~( E @ ( s @ ( s @ 0 ) ) @ ( f @ ( suc @ ( suc @ ( suc @ A_2 ) ) ) ) ) ) |
% 1.29/0.88 ( ~( E @ ( f @ A_2 ) @ ( f @ ( suc @ A_2 ) ) ) ))).
% 1.29/0.88 thf(zip_derived_cl16, plain,
% 1.29/0.88 (![X0 : $i]:
% 1.29/0.88 (~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 1.29/0.88 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 1.29/0.88 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ X0))))
% 1.29/0.88 | ~ (E @ (s @ (s @ 0)) @ (f @ X0))
% 1.29/0.88 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 1.29/0.88 | ~ (E @ (f @ X0) @ (f @ (suc @ X0))))),
% 1.29/0.88 inference('cnf', [status(esa)], [clause_17])).
% 1.29/0.88 thf(zip_derived_cl6, plain,
% 1.29/0.88 (![X0 : $i]:
% 1.29/0.88 (~ (E @ (s @ (s @ 0)) @ (f @ X0))
% 1.29/0.88 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 1.29/0.88 | (E @ (f @ X0) @ (f @ (suc @ X0))))),
% 1.29/0.88 inference('cnf', [status(esa)], [clause_26])).
% 1.29/0.88 thf(zip_derived_cl32, plain,
% 1.29/0.88 (![X0 : $i]:
% 1.29/0.88 (~ (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 1.29/0.88 | ~ (E @ (s @ (s @ 0)) @ (f @ X0))
% 1.29/0.88 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ X0))))
% 1.29/0.88 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 1.29/0.88 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0)))))),
% 1.29/0.88 inference('clc', [status(thm)], [zip_derived_cl16, zip_derived_cl6])).
% 1.29/0.88 thf(zip_derived_cl106, plain,
% 1.29/0.88 (![X0 : $i]:
% 1.29/0.88 ( (LE @ (f @ X0) @ (s @ (s @ 0)))
% 1.29/0.88 | ~ (E @ (s @ (s @ 0)) @ (f @ X0))
% 1.29/0.88 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ X0))))
% 1.29/0.88 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 1.29/0.88 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0)))))),
% 1.29/0.88 inference('s_sup-', [status(thm)], [zip_derived_cl87, zip_derived_cl32])).
% 1.29/0.88 thf(clause_29, axiom,
% 1.29/0.88 (( ~( LE @ ( f @ B_0 ) @ ( s @ ( s @ ( s @ 0 ) ) ) ) ) |
% 1.29/0.88 ( E @ ( s @ ( s @ 0 ) ) @ ( f @ B_0 ) ) |
% 1.29/0.88 ( LE @ ( f @ B_0 ) @ ( s @ ( s @ 0 ) ) ))).
% 1.29/0.88 thf(zip_derived_cl7, plain,
% 1.29/0.88 (![X0 : $i]:
% 1.29/0.88 (~ (LE @ (f @ X0) @ (s @ (s @ (s @ 0))))
% 1.29/0.88 | (E @ (s @ (s @ 0)) @ (f @ X0))
% 1.29/0.88 | (LE @ (f @ X0) @ (s @ (s @ 0))))),
% 1.29/0.88 inference('cnf', [status(esa)], [clause_29])).
% 1.29/0.88 thf(zip_derived_cl86, plain,
% 1.29/0.88 (![X0 : $i]: (LE @ (f @ X0) @ (s @ (s @ (s @ 0))))),
% 1.29/0.88 inference('clc', [status(thm)], [zip_derived_cl85, zip_derived_cl55])).
% 1.29/0.88 thf(zip_derived_cl88, plain,
% 1.29/0.88 (![X0 : $i]:
% 1.29/0.88 ( (E @ (s @ (s @ 0)) @ (f @ X0)) | (LE @ (f @ X0) @ (s @ (s @ 0))))),
% 1.29/0.88 inference('demod', [status(thm)], [zip_derived_cl7, zip_derived_cl86])).
% 1.29/0.88 thf(zip_derived_cl119, plain,
% 1.29/0.88 (![X0 : $i]:
% 1.29/0.88 (~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 1.29/0.88 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 1.29/0.88 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ X0))))
% 1.29/0.88 | (LE @ (f @ X0) @ (s @ (s @ 0))))),
% 1.29/0.88 inference('clc', [status(thm)], [zip_derived_cl106, zip_derived_cl88])).
% 1.29/0.88 thf(clause_19, axiom,
% 1.29/0.88 (( ~( LE @ ( f @ ( suc @ B_0 ) ) @ ( s @ ( s @ ( s @ 0 ) ) ) ) ) |
% 1.29/0.88 ( E @ ( s @ ( s @ 0 ) ) @ ( f @ ( suc @ B_0 ) ) ) |
% 1.29/0.88 ( LE @ ( f @ B_0 ) @ ( s @ ( s @ 0 ) ) ))).
% 1.29/0.88 thf(zip_derived_cl11, plain,
% 1.29/0.88 (![X0 : $i]:
% 1.29/0.88 (~ (LE @ (f @ (suc @ X0)) @ (s @ (s @ (s @ 0))))
% 1.29/0.88 | (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 1.29/0.88 | (LE @ (f @ X0) @ (s @ (s @ 0))))),
% 1.29/0.88 inference('cnf', [status(esa)], [clause_19])).
% 1.29/0.88 thf(zip_derived_cl86, plain,
% 1.29/0.88 (![X0 : $i]: (LE @ (f @ X0) @ (s @ (s @ (s @ 0))))),
% 1.29/0.88 inference('clc', [status(thm)], [zip_derived_cl85, zip_derived_cl55])).
% 1.29/0.88 thf(zip_derived_cl90, plain,
% 1.29/0.88 (![X0 : $i]:
% 1.29/0.88 ( (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 1.29/0.88 | (LE @ (f @ X0) @ (s @ (s @ 0))))),
% 1.29/0.88 inference('demod', [status(thm)], [zip_derived_cl11, zip_derived_cl86])).
% 1.29/0.88 thf(zip_derived_cl120, plain,
% 1.29/0.88 (![X0 : $i]:
% 1.29/0.88 ( (LE @ (f @ X0) @ (s @ (s @ 0)))
% 1.29/0.88 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ X0))))
% 1.29/0.88 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0)))))),
% 1.29/0.88 inference('clc', [status(thm)], [zip_derived_cl119, zip_derived_cl90])).
% 1.29/0.88 thf(zip_derived_cl89, plain,
% 1.29/0.88 (![X0 : $i]:
% 1.29/0.88 ( (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ X0))))
% 1.29/0.88 | (LE @ (f @ X0) @ (s @ (s @ 0))))),
% 1.29/0.88 inference('demod', [status(thm)], [zip_derived_cl10, zip_derived_cl86])).
% 1.29/0.88 thf(zip_derived_cl121, plain,
% 1.29/0.88 (![X0 : $i]:
% 1.29/0.88 (~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 1.29/0.88 | (LE @ (f @ X0) @ (s @ (s @ 0))))),
% 1.29/0.88 inference('clc', [status(thm)], [zip_derived_cl120, zip_derived_cl89])).
% 1.29/0.88 thf(zip_derived_cl129, plain,
% 1.29/0.88 (![X0 : $i]:
% 1.29/0.88 (~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 1.29/0.88 | ~ (E @ (s @ (s @ 0)) @ (f @ X0))
% 1.29/0.88 | (LE @ (f @ X0) @ (s @ (s @ 0))))),
% 1.29/0.88 inference('clc', [status(thm)], [zip_derived_cl101, zip_derived_cl121])).
% 1.29/0.88 thf(zip_derived_cl90, plain,
% 1.29/0.88 (![X0 : $i]:
% 1.29/0.88 ( (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 1.29/0.88 | (LE @ (f @ X0) @ (s @ (s @ 0))))),
% 1.29/0.88 inference('demod', [status(thm)], [zip_derived_cl11, zip_derived_cl86])).
% 1.29/0.88 thf(zip_derived_cl130, plain,
% 1.29/0.88 (![X0 : $i]:
% 1.29/0.88 ( (LE @ (f @ X0) @ (s @ (s @ 0))) | ~ (E @ (s @ (s @ 0)) @ (f @ X0)))),
% 1.29/0.88 inference('clc', [status(thm)], [zip_derived_cl129, zip_derived_cl90])).
% 1.29/0.88 thf(zip_derived_cl88, plain,
% 1.29/0.88 (![X0 : $i]:
% 1.29/0.88 ( (E @ (s @ (s @ 0)) @ (f @ X0)) | (LE @ (f @ X0) @ (s @ (s @ 0))))),
% 1.29/0.88 inference('demod', [status(thm)], [zip_derived_cl7, zip_derived_cl86])).
% 1.29/0.88 thf(zip_derived_cl131, plain, (![X0 : $i]: (LE @ (f @ X0) @ (s @ (s @ 0)))),
% 1.29/0.88 inference('clc', [status(thm)], [zip_derived_cl130, zip_derived_cl88])).
% 1.29/0.88 thf(zip_derived_cl134, plain,
% 1.29/0.88 (![X0 : $i]:
% 1.29/0.88 ( (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 1.29/0.88 | (LE @ (f @ X0) @ (s @ 0)))),
% 1.29/0.88 inference('demod', [status(thm)], [zip_derived_cl20, zip_derived_cl131])).
% 1.29/0.88 thf(clause_5, axiom,
% 1.29/0.88 (( ~( E @ ( f @ A_3 ) @ ( f @ ( suc @ ( suc @ A_3 ) ) ) ) ) |
% 1.29/0.88 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ ( suc @ ( suc @ A_3 ) ) ) ) ) ) |
% 1.29/0.88 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ A_3 ) ) ) ) |
% 1.29/0.88 ( ~( E @ ( f @ A_3 ) @ ( f @ ( suc @ A_3 ) ) ) ) |
% 1.29/0.88 ( ~( E @ ( s @ 0 ) @ ( f @ A_3 ) ) ) |
% 1.29/0.88 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ ( suc @ A_3 ) ) ) ) ))).
% 1.29/0.88 thf(zip_derived_cl21, plain,
% 1.29/0.88 (![X0 : $i]:
% 1.29/0.88 (~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 1.29/0.88 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 1.29/0.88 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 1.29/0.88 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.29/0.88 | ~ (E @ (s @ 0) @ (f @ X0))
% 1.29/0.88 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0)))))),
% 1.29/0.88 inference('cnf', [status(esa)], [clause_5])).
% 1.29/0.88 thf(zip_derived_cl147, plain,
% 1.29/0.88 (![X0 : $i]:
% 1.29/0.88 ( (LE @ (f @ X0) @ (s @ 0))
% 1.29/0.88 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 1.29/0.88 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 1.29/0.88 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.29/0.88 | ~ (E @ (s @ 0) @ (f @ X0))
% 1.29/0.88 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0)))))),
% 1.29/0.88 inference('s_sup-', [status(thm)], [zip_derived_cl134, zip_derived_cl21])).
% 1.29/0.88 thf(clause_34, axiom,
% 1.29/0.88 (( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ ( suc @ A_3 ) ) ) ) ) |
% 1.29/0.88 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ A_3 ) ) ) ) |
% 1.29/0.88 ( ~( E @ ( f @ A_3 ) @ ( f @ ( suc @ A_3 ) ) ) ) |
% 1.29/0.88 ( ~( E @ ( s @ 0 ) @ ( f @ A_3 ) ) ) |
% 1.29/0.88 ( E @ ( f @ A_3 ) @ ( f @ ( suc @ ( suc @ A_3 ) ) ) ))).
% 1.29/0.88 thf(zip_derived_cl28, plain,
% 1.29/0.88 (![X0 : $i]:
% 1.29/0.88 (~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 1.29/0.88 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 1.29/0.88 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.29/0.88 | ~ (E @ (s @ 0) @ (f @ X0))
% 1.29/0.88 | (E @ (f @ X0) @ (f @ (suc @ (suc @ X0)))))),
% 1.29/0.88 inference('cnf', [status(esa)], [clause_34])).
% 1.29/0.88 thf(clause_13, axiom,
% 1.29/0.88 (( ~( E @ ( s @ 0 ) @ ( f @ A_3 ) ) ) |
% 1.29/0.88 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ A_3 ) ) ) ) |
% 1.29/0.88 ( E @ ( f @ A_3 ) @ ( f @ ( suc @ A_3 ) ) ))).
% 1.29/0.88 thf(zip_derived_cl15, plain,
% 1.29/0.88 (![X0 : $i]:
% 1.29/0.88 (~ (E @ (s @ 0) @ (f @ X0))
% 1.29/0.88 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 1.29/0.88 | (E @ (f @ X0) @ (f @ (suc @ X0))))),
% 1.29/0.88 inference('cnf', [status(esa)], [clause_13])).
% 1.29/0.88 thf(zip_derived_cl53, plain,
% 1.29/0.88 (![X0 : $i]:
% 1.29/0.88 ( (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 1.29/0.88 | ~ (E @ (s @ 0) @ (f @ X0))
% 1.29/0.88 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 1.29/0.88 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0)))))),
% 1.29/0.88 inference('clc', [status(thm)], [zip_derived_cl28, zip_derived_cl15])).
% 1.29/0.88 thf(zip_derived_cl151, plain,
% 1.29/0.88 (![X0 : $i]:
% 1.29/0.88 (~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 1.29/0.88 | ~ (E @ (s @ 0) @ (f @ X0))
% 1.29/0.88 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.29/0.88 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 1.29/0.88 | (LE @ (f @ X0) @ (s @ 0)))),
% 1.29/0.88 inference('clc', [status(thm)], [zip_derived_cl147, zip_derived_cl53])).
% 1.29/0.88 thf(clause_27, axiom,
% 1.29/0.88 (( ~( LE @ ( f @ ( suc @ ( suc @ B_1 ) ) ) @ ( s @ ( s @ 0 ) ) ) ) |
% 1.29/0.88 ( E @ ( s @ 0 ) @ ( f @ ( suc @ ( suc @ B_1 ) ) ) ) |
% 1.29/0.88 ( LE @ ( f @ B_1 ) @ ( s @ 0 ) ))).
% 1.29/0.88 thf(zip_derived_cl1, plain,
% 1.29/0.88 (![X0 : $i]:
% 1.29/0.88 (~ (LE @ (f @ (suc @ (suc @ X0))) @ (s @ (s @ 0)))
% 1.29/0.88 | (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 1.29/0.88 | (LE @ (f @ X0) @ (s @ 0)))),
% 1.29/0.88 inference('cnf', [status(esa)], [clause_27])).
% 1.29/0.88 thf(zip_derived_cl131, plain, (![X0 : $i]: (LE @ (f @ X0) @ (s @ (s @ 0)))),
% 1.29/0.88 inference('clc', [status(thm)], [zip_derived_cl130, zip_derived_cl88])).
% 1.29/0.88 thf(zip_derived_cl132, plain,
% 1.29/0.88 (![X0 : $i]:
% 1.29/0.88 ( (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 1.29/0.88 | (LE @ (f @ X0) @ (s @ 0)))),
% 1.29/0.88 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl131])).
% 1.29/0.88 thf(zip_derived_cl152, plain,
% 1.29/0.88 (![X0 : $i]:
% 1.29/0.88 ( (LE @ (f @ X0) @ (s @ 0))
% 1.29/0.88 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 1.29/0.88 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.29/0.88 | ~ (E @ (s @ 0) @ (f @ X0)))),
% 1.29/0.88 inference('clc', [status(thm)], [zip_derived_cl151, zip_derived_cl132])).
% 1.29/0.88 thf(clause_25, axiom,
% 1.29/0.88 (( ~( LE @ ( f @ ( suc @ B_1 ) ) @ ( s @ ( s @ 0 ) ) ) ) |
% 1.29/0.88 ( E @ ( s @ 0 ) @ ( f @ ( suc @ B_1 ) ) ) |
% 1.29/0.88 ( LE @ ( f @ B_1 ) @ ( s @ 0 ) ))).
% 1.29/0.88 thf(zip_derived_cl9, plain,
% 1.29/0.88 (![X0 : $i]:
% 1.29/0.88 (~ (LE @ (f @ (suc @ X0)) @ (s @ (s @ 0)))
% 1.29/0.88 | (E @ (s @ 0) @ (f @ (suc @ X0)))
% 1.29/0.88 | (LE @ (f @ X0) @ (s @ 0)))),
% 1.29/0.88 inference('cnf', [status(esa)], [clause_25])).
% 1.29/0.88 thf(zip_derived_cl131, plain, (![X0 : $i]: (LE @ (f @ X0) @ (s @ (s @ 0)))),
% 1.29/0.88 inference('clc', [status(thm)], [zip_derived_cl130, zip_derived_cl88])).
% 1.29/0.88 thf(zip_derived_cl133, plain,
% 1.29/0.88 (![X0 : $i]:
% 1.29/0.88 ( (E @ (s @ 0) @ (f @ (suc @ X0))) | (LE @ (f @ X0) @ (s @ 0)))),
% 1.29/0.88 inference('demod', [status(thm)], [zip_derived_cl9, zip_derived_cl131])).
% 1.29/0.88 thf(zip_derived_cl153, plain,
% 1.29/0.88 (![X0 : $i]:
% 1.29/0.88 (~ (E @ (s @ 0) @ (f @ X0))
% 1.29/0.88 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.29/0.88 | (LE @ (f @ X0) @ (s @ 0)))),
% 1.29/0.88 inference('clc', [status(thm)], [zip_derived_cl152, zip_derived_cl133])).
% 1.29/0.88 thf(clause_16, axiom,
% 1.29/0.88 (( ~( LE @ ( f @ B_1 ) @ ( s @ ( s @ 0 ) ) ) ) |
% 1.29/0.88 ( E @ ( s @ 0 ) @ ( f @ B_1 ) ) | ( LE @ ( f @ B_1 ) @ ( s @ 0 ) ))).
% 1.29/0.88 thf(zip_derived_cl25, plain,
% 1.29/0.88 (![X0 : $i]:
% 1.29/0.88 (~ (LE @ (f @ X0) @ (s @ (s @ 0)))
% 1.29/0.88 | (E @ (s @ 0) @ (f @ X0))
% 1.29/0.88 | (LE @ (f @ X0) @ (s @ 0)))),
% 1.29/0.88 inference('cnf', [status(esa)], [clause_16])).
% 1.29/0.88 thf(zip_derived_cl131, plain, (![X0 : $i]: (LE @ (f @ X0) @ (s @ (s @ 0)))),
% 1.29/0.88 inference('clc', [status(thm)], [zip_derived_cl130, zip_derived_cl88])).
% 1.29/0.88 thf(zip_derived_cl135, plain,
% 1.29/0.88 (![X0 : $i]: ( (E @ (s @ 0) @ (f @ X0)) | (LE @ (f @ X0) @ (s @ 0)))),
% 1.29/0.88 inference('demod', [status(thm)], [zip_derived_cl25, zip_derived_cl131])).
% 1.29/0.88 thf(zip_derived_cl154, plain,
% 1.29/0.88 (![X0 : $i]:
% 1.29/0.88 ( (LE @ (f @ X0) @ (s @ 0)) | ~ (E @ (f @ X0) @ (f @ (suc @ X0))))),
% 1.29/0.88 inference('clc', [status(thm)], [zip_derived_cl153, zip_derived_cl135])).
% 1.29/0.88 thf(zip_derived_cl15, plain,
% 1.29/0.88 (![X0 : $i]:
% 1.29/0.88 (~ (E @ (s @ 0) @ (f @ X0))
% 1.29/0.88 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 1.29/0.88 | (E @ (f @ X0) @ (f @ (suc @ X0))))),
% 1.29/0.88 inference('cnf', [status(esa)], [clause_13])).
% 1.29/0.88 thf(zip_derived_cl156, plain,
% 1.29/0.88 (![X0 : $i]:
% 1.29/0.88 ( (LE @ (f @ X0) @ (s @ 0))
% 1.29/0.88 | ~ (E @ (s @ 0) @ (f @ X0))
% 1.29/0.88 | ~ (E @ (s @ 0) @ (f @ (suc @ X0))))),
% 1.29/0.88 inference('s_sup+', [status(thm)], [zip_derived_cl154, zip_derived_cl15])).
% 1.29/0.88 thf(zip_derived_cl135, plain,
% 1.29/0.88 (![X0 : $i]: ( (E @ (s @ 0) @ (f @ X0)) | (LE @ (f @ X0) @ (s @ 0)))),
% 1.29/0.88 inference('demod', [status(thm)], [zip_derived_cl25, zip_derived_cl131])).
% 1.29/0.88 thf(zip_derived_cl166, plain,
% 1.29/0.88 (![X0 : $i]:
% 1.29/0.88 (~ (E @ (s @ 0) @ (f @ (suc @ X0))) | (LE @ (f @ X0) @ (s @ 0)))),
% 1.29/0.88 inference('clc', [status(thm)], [zip_derived_cl156, zip_derived_cl135])).
% 1.29/0.88 thf(zip_derived_cl133, plain,
% 1.29/0.88 (![X0 : $i]:
% 1.29/0.88 ( (E @ (s @ 0) @ (f @ (suc @ X0))) | (LE @ (f @ X0) @ (s @ 0)))),
% 1.29/0.88 inference('demod', [status(thm)], [zip_derived_cl9, zip_derived_cl131])).
% 1.29/0.88 thf(zip_derived_cl167, plain, (![X0 : $i]: (LE @ (f @ X0) @ (s @ 0))),
% 1.29/0.88 inference('clc', [status(thm)], [zip_derived_cl166, zip_derived_cl133])).
% 1.29/0.88 thf(zip_derived_cl168, plain,
% 1.29/0.88 (![X0 : $i]:
% 1.29/0.88 ( (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0))))) | (LE @ (f @ X0) @ 0))),
% 1.29/0.88 inference('demod', [status(thm)], [zip_derived_cl2, zip_derived_cl167])).
% 1.29/0.88 thf(clause_7, axiom,
% 1.29/0.88 (( ~( E @ 0 @ ( f @ ( suc @ ( suc @ A_4 ) ) ) ) ) |
% 1.29/0.88 ( ~( E @ 0 @ ( f @ ( suc @ A_4 ) ) ) ) |
% 1.29/0.88 ( ~( E @ ( f @ A_4 ) @ ( f @ ( suc @ A_4 ) ) ) ) |
% 1.29/0.88 ( ~( E @ 0 @ ( f @ A_4 ) ) ) |
% 1.29/0.88 ( E @ ( f @ A_4 ) @ ( f @ ( suc @ ( suc @ A_4 ) ) ) ))).
% 1.29/0.88 thf(zip_derived_cl26, plain,
% 1.29/0.88 (![X0 : $i]:
% 1.29/0.88 (~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 1.29/0.88 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 1.29/0.88 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.29/0.88 | ~ (E @ 0 @ (f @ X0))
% 1.29/0.88 | (E @ (f @ X0) @ (f @ (suc @ (suc @ X0)))))),
% 1.29/0.88 inference('cnf', [status(esa)], [clause_7])).
% 1.29/0.88 thf(clause_14, axiom,
% 1.29/0.88 (( ~( E @ 0 @ ( f @ A_4 ) ) ) | ( ~( E @ 0 @ ( f @ ( suc @ A_4 ) ) ) ) |
% 1.29/0.88 ( E @ ( f @ A_4 ) @ ( f @ ( suc @ A_4 ) ) ))).
% 1.29/0.88 thf(zip_derived_cl8, plain,
% 1.29/0.88 (![X0 : $i]:
% 1.29/0.88 (~ (E @ 0 @ (f @ X0))
% 1.29/0.88 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 1.29/0.88 | (E @ (f @ X0) @ (f @ (suc @ X0))))),
% 1.29/0.88 inference('cnf', [status(esa)], [clause_14])).
% 1.29/0.88 thf(zip_derived_cl36, plain,
% 1.29/0.88 (![X0 : $i]:
% 1.29/0.88 ( (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 1.29/0.88 | ~ (E @ 0 @ (f @ X0))
% 1.29/0.88 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 1.29/0.88 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0)))))),
% 1.29/0.88 inference('clc', [status(thm)], [zip_derived_cl26, zip_derived_cl8])).
% 1.29/0.88 thf(clause_11, axiom,
% 1.29/0.88 (( ~( E @ ( f @ A_4 ) @ ( f @ ( suc @ A_4 ) ) ) ) |
% 1.29/0.88 ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ ( suc @ A_4 ) ) ) ) ) ) |
% 1.29/0.88 ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ A_4 ) ) ) ) ) |
% 1.29/0.88 ( ~( E @ 0 @ ( f @ ( suc @ A_4 ) ) ) ) |
% 1.29/0.88 ( ~( E @ ( f @ A_4 ) @ ( f @ ( suc @ ( suc @ A_4 ) ) ) ) ) |
% 1.29/0.88 ( ~( E @ 0 @ ( f @ A_4 ) ) ))).
% 1.29/0.88 thf(zip_derived_cl0, plain,
% 1.29/0.88 (![X0 : $i]:
% 1.29/0.88 (~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.29/0.88 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0)))))
% 1.29/0.88 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 1.29/0.88 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 1.29/0.88 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 1.29/0.88 | ~ (E @ 0 @ (f @ X0)))),
% 1.29/0.88 inference('cnf', [status(esa)], [clause_11])).
% 1.29/0.88 thf(zip_derived_cl8, plain,
% 1.29/0.88 (![X0 : $i]:
% 1.29/0.88 (~ (E @ 0 @ (f @ X0))
% 1.29/0.88 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 1.29/0.88 | (E @ (f @ X0) @ (f @ (suc @ X0))))),
% 1.29/0.88 inference('cnf', [status(esa)], [clause_14])).
% 1.29/0.88 thf(zip_derived_cl30, plain,
% 1.29/0.88 (![X0 : $i]:
% 1.29/0.88 (~ (E @ 0 @ (f @ X0))
% 1.29/0.88 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 1.29/0.88 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 1.29/0.88 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 1.29/0.88 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0))))))),
% 1.29/0.88 inference('clc', [status(thm)], [zip_derived_cl0, zip_derived_cl8])).
% 1.29/0.88 thf(zip_derived_cl37, plain,
% 1.29/0.88 (![X0 : $i]:
% 1.29/0.88 (~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 1.29/0.88 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 1.29/0.88 | ~ (E @ 0 @ (f @ X0))
% 1.29/0.88 | ~ (E @ 0 @ (f @ X0))
% 1.29/0.88 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 1.29/0.88 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 1.29/0.88 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0))))))),
% 1.29/0.88 inference('s_sup-', [status(thm)], [zip_derived_cl36, zip_derived_cl30])).
% 1.29/0.88 thf(zip_derived_cl38, plain,
% 1.29/0.88 (![X0 : $i]:
% 1.29/0.88 (~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0)))))
% 1.29/0.88 | ~ (E @ 0 @ (f @ X0))
% 1.29/0.88 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 1.29/0.88 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0)))))),
% 1.29/0.88 inference('simplify', [status(thm)], [zip_derived_cl37])).
% 1.29/0.88 thf(zip_derived_cl175, plain,
% 1.29/0.88 (![X0 : $i]:
% 1.29/0.88 ( (LE @ (f @ X0) @ 0)
% 1.29/0.88 | ~ (E @ 0 @ (f @ X0))
% 1.29/0.88 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 1.29/0.88 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0)))))),
% 1.29/0.88 inference('s_sup-', [status(thm)], [zip_derived_cl168, zip_derived_cl38])).
% 1.29/0.88 thf(clause_4, axiom,
% 1.29/0.88 (( ~( LE @ ( f @ B_2 ) @ ( s @ 0 ) ) ) | ( E @ 0 @ ( f @ B_2 ) ) |
% 1.29/0.88 ( LE @ ( f @ B_2 ) @ 0 ))).
% 1.29/0.88 thf(zip_derived_cl22, plain,
% 1.29/0.88 (![X0 : $i]:
% 1.29/0.88 (~ (LE @ (f @ X0) @ (s @ 0))
% 1.29/0.88 | (E @ 0 @ (f @ X0))
% 1.29/0.88 | (LE @ (f @ X0) @ 0))),
% 1.29/0.88 inference('cnf', [status(esa)], [clause_4])).
% 1.29/0.88 thf(zip_derived_cl167, plain, (![X0 : $i]: (LE @ (f @ X0) @ (s @ 0))),
% 1.29/0.88 inference('clc', [status(thm)], [zip_derived_cl166, zip_derived_cl133])).
% 1.29/0.88 thf(zip_derived_cl171, plain,
% 1.29/0.88 (![X0 : $i]: ( (E @ 0 @ (f @ X0)) | (LE @ (f @ X0) @ 0))),
% 1.29/0.88 inference('demod', [status(thm)], [zip_derived_cl22, zip_derived_cl167])).
% 1.29/0.88 thf(zip_derived_cl176, plain,
% 1.29/0.88 (![X0 : $i]:
% 1.29/0.88 (~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 1.29/0.88 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 1.29/0.88 | (LE @ (f @ X0) @ 0))),
% 1.29/0.88 inference('clc', [status(thm)], [zip_derived_cl175, zip_derived_cl171])).
% 1.29/0.88 thf(clause_37, axiom,
% 1.29/0.88 (( ~( LE @ ( f @ ( suc @ ( suc @ B_2 ) ) ) @ ( s @ 0 ) ) ) |
% 1.29/0.88 ( E @ 0 @ ( f @ ( suc @ ( suc @ B_2 ) ) ) ) | ( LE @ ( f @ B_2 ) @ 0 ))).
% 1.29/0.88 thf(zip_derived_cl14, plain,
% 1.29/0.88 (![X0 : $i]:
% 1.29/0.88 (~ (LE @ (f @ (suc @ (suc @ X0))) @ (s @ 0))
% 1.29/0.88 | (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 1.29/0.88 | (LE @ (f @ X0) @ 0))),
% 1.29/0.88 inference('cnf', [status(esa)], [clause_37])).
% 1.29/0.88 thf(zip_derived_cl167, plain, (![X0 : $i]: (LE @ (f @ X0) @ (s @ 0))),
% 1.29/0.88 inference('clc', [status(thm)], [zip_derived_cl166, zip_derived_cl133])).
% 1.29/0.88 thf(zip_derived_cl170, plain,
% 1.29/0.88 (![X0 : $i]: ( (E @ 0 @ (f @ (suc @ (suc @ X0)))) | (LE @ (f @ X0) @ 0))),
% 1.29/0.88 inference('demod', [status(thm)], [zip_derived_cl14, zip_derived_cl167])).
% 1.29/0.88 thf(zip_derived_cl177, plain,
% 1.29/0.88 (![X0 : $i]: ( (LE @ (f @ X0) @ 0) | ~ (E @ 0 @ (f @ (suc @ X0))))),
% 1.29/0.88 inference('clc', [status(thm)], [zip_derived_cl176, zip_derived_cl170])).
% 1.29/0.88 thf(clause_23, axiom,
% 1.29/0.88 (( ~( LE @ ( f @ ( suc @ B_2 ) ) @ ( s @ 0 ) ) ) |
% 1.29/0.88 ( E @ 0 @ ( f @ ( suc @ B_2 ) ) ) | ( LE @ ( f @ B_2 ) @ 0 ))).
% 1.29/0.88 thf(zip_derived_cl5, plain,
% 1.29/0.88 (![X0 : $i]:
% 1.29/0.88 (~ (LE @ (f @ (suc @ X0)) @ (s @ 0))
% 1.29/0.88 | (E @ 0 @ (f @ (suc @ X0)))
% 1.29/0.88 | (LE @ (f @ X0) @ 0))),
% 1.29/0.88 inference('cnf', [status(esa)], [clause_23])).
% 1.29/0.88 thf(zip_derived_cl167, plain, (![X0 : $i]: (LE @ (f @ X0) @ (s @ 0))),
% 1.29/0.88 inference('clc', [status(thm)], [zip_derived_cl166, zip_derived_cl133])).
% 1.29/0.88 thf(zip_derived_cl169, plain,
% 1.29/0.88 (![X0 : $i]: ( (E @ 0 @ (f @ (suc @ X0))) | (LE @ (f @ X0) @ 0))),
% 1.29/0.88 inference('demod', [status(thm)], [zip_derived_cl5, zip_derived_cl167])).
% 1.29/0.88 thf(zip_derived_cl178, plain, (![X0 : $i]: (LE @ (f @ X0) @ 0)),
% 1.29/0.88 inference('clc', [status(thm)], [zip_derived_cl177, zip_derived_cl169])).
% 1.29/0.88 thf(zip_derived_cl179, plain, ($false),
% 1.29/0.88 inference('demod', [status(thm)], [zip_derived_cl17, zip_derived_cl178])).
% 1.29/0.88
% 1.29/0.88 % SZS output end Refutation
% 1.29/0.88
% 1.29/0.88
% 1.29/0.88 % Terminating...
% 1.64/0.99 % Runner terminated.
% 1.64/1.00 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------