TSTP Solution File: SYO648-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYO648-1 : 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.JcJ3Jy2qpa true
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 1 05:52:25 EDT 2023
% Result : Unsatisfiable 1.14s 0.79s
% Output : Refutation 1.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SYO648-1 : 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.JcJ3Jy2qpa true
% 0.14/0.35 % Computer : n020.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 05:15:59 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
% 0.22/0.36 % Python version: Python 3.6.8
% 0.22/0.36 % Running in FO mode
% 0.22/0.67 % Total configuration time : 435
% 0.22/0.67 % Estimated wc time : 1092
% 0.22/0.67 % Estimated cpu time (7 cpus) : 156.0
% 0.57/0.74 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.57/0.74 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.57/0.76 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.57/0.76 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.57/0.77 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.57/0.77 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.57/0.77 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.14/0.79 % Solved by fo/fo6_bce.sh.
% 1.14/0.79 % BCE start: 27
% 1.14/0.79 % BCE eliminated: 0
% 1.14/0.79 % PE start: 27
% 1.14/0.79 logic: neq
% 1.14/0.79 % PE eliminated: 16
% 1.14/0.79 % done 16 iterations in 0.036s
% 1.14/0.79 % SZS status Unsatisfiable for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.14/0.79 % SZS output start Refutation
% 1.14/0.79 thf(LE_type, type, LE: $i > $i > $o).
% 1.14/0.79 thf(suc_type, type, suc: $i > $i).
% 1.14/0.79 thf(f_type, type, f: $i > $i).
% 1.14/0.79 thf(z_type, type, z: $i).
% 1.14/0.79 thf(iLEQ_type, type, iLEQ: $i > $i > $o).
% 1.14/0.79 thf(s_type, type, s: $i > $i).
% 1.14/0.79 thf(0_type, type, 0: $i).
% 1.14/0.79 thf(E_type, type, E: $i > $i > $o).
% 1.14/0.79 thf(clause_160, axiom, (~( LE @ ( f @ z ) @ 0 ))).
% 1.14/0.79 thf(zip_derived_cl20, plain, (~ (LE @ (f @ z) @ 0)),
% 1.14/0.79 inference('cnf', [status(esa)], [clause_160])).
% 1.14/0.79 thf(clause_231, axiom,
% 1.14/0.79 (( ~( LE @ ( f @ ( suc @ ( suc @ ( suc @ ( suc @ B_1 ) ) ) ) ) @ ( s @ 0 ) ) ) |
% 1.14/0.79 ( E @ 0 @ ( f @ ( suc @ ( suc @ ( suc @ ( suc @ B_1 ) ) ) ) ) ) |
% 1.14/0.79 ( LE @ ( f @ B_1 ) @ 0 ))).
% 1.14/0.79 thf(zip_derived_cl14, plain,
% 1.14/0.79 (![X0 : $i]:
% 1.14/0.79 (~ (LE @ (f @ (suc @ (suc @ (suc @ (suc @ X0))))) @ (s @ 0))
% 1.14/0.79 | (E @ 0 @ (f @ (suc @ (suc @ (suc @ (suc @ X0))))))
% 1.14/0.79 | (LE @ (f @ X0) @ 0))),
% 1.14/0.79 inference('cnf', [status(esa)], [clause_231])).
% 1.14/0.79 thf(clause_299, axiom, (LE @ ( f @ A ) @ ( s @ 0 ))).
% 1.14/0.79 thf(zip_derived_cl7, plain, (![X0 : $i]: (LE @ (f @ X0) @ (s @ 0))),
% 1.14/0.79 inference('cnf', [status(esa)], [clause_299])).
% 1.14/0.79 thf(zip_derived_cl97, plain,
% 1.14/0.79 (![X0 : $i]:
% 1.14/0.79 ( (E @ 0 @ (f @ (suc @ (suc @ (suc @ (suc @ X0))))))
% 1.14/0.79 | (LE @ (f @ X0) @ 0))),
% 1.14/0.79 inference('demod', [status(thm)], [zip_derived_cl14, zip_derived_cl7])).
% 1.14/0.79 thf(clause_62, axiom,
% 1.14/0.79 (( ~( LE @ ( f @ B_1 ) @ ( s @ 0 ) ) ) | ( E @ 0 @ ( f @ B_1 ) ) |
% 1.14/0.79 ( LE @ ( f @ B_1 ) @ 0 ))).
% 1.14/0.79 thf(zip_derived_cl25, plain,
% 1.14/0.79 (![X0 : $i]:
% 1.14/0.79 (~ (LE @ (f @ X0) @ (s @ 0))
% 1.14/0.79 | (E @ 0 @ (f @ X0))
% 1.14/0.79 | (LE @ (f @ X0) @ 0))),
% 1.14/0.79 inference('cnf', [status(esa)], [clause_62])).
% 1.14/0.79 thf(zip_derived_cl7, plain, (![X0 : $i]: (LE @ (f @ X0) @ (s @ 0))),
% 1.14/0.79 inference('cnf', [status(esa)], [clause_299])).
% 1.14/0.79 thf(zip_derived_cl91, plain,
% 1.14/0.79 (![X0 : $i]: ( (E @ 0 @ (f @ X0)) | (LE @ (f @ X0) @ 0))),
% 1.14/0.79 inference('demod', [status(thm)], [zip_derived_cl25, zip_derived_cl7])).
% 1.14/0.79 thf(zip_derived_cl20, plain, (~ (LE @ (f @ z) @ 0)),
% 1.14/0.79 inference('cnf', [status(esa)], [clause_160])).
% 1.14/0.79 thf(zip_derived_cl92, plain, ( (E @ 0 @ (f @ z))),
% 1.14/0.79 inference('s_sup-', [status(thm)], [zip_derived_cl91, zip_derived_cl20])).
% 1.14/0.79 thf(clause_157, axiom,
% 1.14/0.79 (( ~( E @ 0 @ ( f @ ( suc @ ( suc @ ( suc @ A_1 ) ) ) ) ) ) |
% 1.14/0.79 ( ~( E @ 0 @ ( f @ ( suc @ A_1 ) ) ) ) |
% 1.14/0.79 ( ~( E @ ( f @ A_1 ) @ ( f @ ( suc @ ( suc @ ( suc @ A_1 ) ) ) ) ) ) |
% 1.14/0.79 ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ A_1 ) ) ) ) ) |
% 1.14/0.79 ( ~( E @ 0 @ ( f @ A_1 ) ) ) |
% 1.14/0.79 ( ~( E @ ( f @ A_1 ) @ ( f @ ( suc @ ( suc @ A_1 ) ) ) ) ) |
% 1.14/0.79 ( ~( E @ ( f @ A_1 ) @ ( f @ ( suc @ A_1 ) ) ) ) |
% 1.14/0.79 ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ ( suc @ ( suc @ A_1 ) ) ) ) ) ) ) |
% 1.14/0.79 ( iLEQ @ ( suc @ A_1 ) @ ( suc @ A_1 ) ))).
% 1.14/0.79 thf(zip_derived_cl8, plain,
% 1.14/0.79 (![X0 : $i]:
% 1.14/0.79 (~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0)))))
% 1.14/0.79 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 1.14/0.79 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 1.14/0.79 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 1.14/0.79 | ~ (E @ 0 @ (f @ X0))
% 1.14/0.79 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 1.14/0.79 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.14/0.79 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ (suc @ X0))))))
% 1.14/0.79 | (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 1.14/0.79 inference('cnf', [status(esa)], [clause_157])).
% 1.14/0.79 thf(clause_145, axiom,
% 1.14/0.79 (( ~( E @ 0 @ ( f @ ( suc @ ( suc @ ( suc @ A_1 ) ) ) ) ) ) |
% 1.14/0.79 ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ ( suc @ B_2 ) ) ) ) ) ) |
% 1.14/0.79 ( ~( E @ ( f @ B_2 ) @ ( f @ ( suc @ ( suc @ B_2 ) ) ) ) ) |
% 1.14/0.79 ( ~( E @ 0 @ ( f @ ( suc @ A_1 ) ) ) ) |
% 1.14/0.79 ( ~( E @ ( f @ A_1 ) @ ( f @ ( suc @ ( suc @ ( suc @ A_1 ) ) ) ) ) ) |
% 1.14/0.79 ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ A_1 ) ) ) ) ) |
% 1.14/0.79 ( ~( E @ 0 @ ( f @ A_1 ) ) ) | ( ~( E @ 0 @ ( f @ ( suc @ B_2 ) ) ) ) |
% 1.14/0.79 ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ ( suc @ ( suc @ B_2 ) ) ) ) ) ) ) |
% 1.14/0.79 ( ~( E @ ( f @ B_2 ) @ ( f @ ( suc @ B_2 ) ) ) ) |
% 1.14/0.79 ( ~( iLEQ @ ( suc @ A_1 ) @ ( suc @ B_2 ) ) ) |
% 1.14/0.79 ( ~( E @ 0 @ ( f @ B_2 ) ) ) |
% 1.14/0.79 ( ~( E @ ( f @ A_1 ) @ ( f @ ( suc @ ( suc @ A_1 ) ) ) ) ) |
% 1.14/0.79 ( ~( E @ ( f @ B_2 ) @ ( f @ ( suc @ ( suc @ ( suc @ B_2 ) ) ) ) ) ) |
% 1.14/0.79 ( ~( E @ ( f @ A_1 ) @ ( f @ ( suc @ A_1 ) ) ) ) |
% 1.14/0.79 ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ B_2 ) ) ) ) ) |
% 1.14/0.79 ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ ( suc @ ( suc @ A_1 ) ) ) ) ) ) ))).
% 1.14/0.79 thf(zip_derived_cl23, plain,
% 1.14/0.79 (![X0 : $i, X1 : $i]:
% 1.14/0.79 (~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0)))))
% 1.14/0.79 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X1)))))
% 1.14/0.79 | ~ (E @ (f @ X1) @ (f @ (suc @ (suc @ X1))))
% 1.14/0.79 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 1.14/0.79 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 1.14/0.79 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 1.14/0.79 | ~ (E @ 0 @ (f @ X0))
% 1.14/0.79 | ~ (E @ 0 @ (f @ (suc @ X1)))
% 1.14/0.79 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ (suc @ X1))))))
% 1.14/0.79 | ~ (E @ (f @ X1) @ (f @ (suc @ X1)))
% 1.14/0.79 | ~ (iLEQ @ (suc @ X0) @ (suc @ X1))
% 1.14/0.79 | ~ (E @ 0 @ (f @ X1))
% 1.14/0.79 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 1.14/0.79 | ~ (E @ (f @ X1) @ (f @ (suc @ (suc @ (suc @ X1)))))
% 1.14/0.79 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.14/0.79 | ~ (E @ 0 @ (f @ (suc @ (suc @ X1))))
% 1.14/0.79 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ (suc @ X0)))))))),
% 1.14/0.79 inference('cnf', [status(esa)], [clause_145])).
% 1.14/0.79 thf(zip_derived_cl72, plain,
% 1.14/0.79 (![X0 : $i]:
% 1.14/0.79 (~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ (suc @ X0))))))
% 1.14/0.79 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.14/0.79 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 1.14/0.79 | ~ (E @ 0 @ (f @ X0))
% 1.14/0.79 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 1.14/0.79 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 1.14/0.79 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 1.14/0.79 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0)))))
% 1.14/0.79 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ (suc @ X0))))))
% 1.14/0.79 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 1.14/0.79 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.14/0.79 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 1.14/0.79 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 1.14/0.79 | ~ (E @ 0 @ (f @ X0))
% 1.14/0.79 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.14/0.79 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ (suc @ X0))))))
% 1.14/0.79 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 1.14/0.79 | ~ (E @ 0 @ (f @ X0))
% 1.14/0.79 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 1.14/0.79 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 1.14/0.79 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 1.14/0.79 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 1.14/0.79 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0)))))
% 1.14/0.79 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0))))))),
% 1.14/0.79 inference('dp-resolution', [status(thm)],
% 1.14/0.79 [zip_derived_cl8, zip_derived_cl23])).
% 1.14/0.79 thf(zip_derived_cl105, plain,
% 1.14/0.79 (![X0 : $i]:
% 1.14/0.79 (~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0)))))
% 1.14/0.79 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 1.14/0.79 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 1.14/0.79 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 1.14/0.79 | ~ (E @ 0 @ (f @ X0))
% 1.14/0.79 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 1.14/0.79 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.14/0.79 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ (suc @ X0)))))))),
% 1.14/0.79 inference('simplify', [status(thm)], [zip_derived_cl72])).
% 1.14/0.79 thf(clause_326, axiom,
% 1.14/0.79 (( ~( E @ 0 @ ( f @ ( suc @ ( suc @ ( suc @ A_1 ) ) ) ) ) ) |
% 1.14/0.79 ( ~( E @ 0 @ ( f @ ( suc @ A_1 ) ) ) ) |
% 1.14/0.79 ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ A_1 ) ) ) ) ) |
% 1.14/0.79 ( ~( E @ 0 @ ( f @ A_1 ) ) ) |
% 1.14/0.79 ( ~( E @ ( f @ A_1 ) @ ( f @ ( suc @ ( suc @ A_1 ) ) ) ) ) |
% 1.14/0.79 ( ~( E @ ( f @ A_1 ) @ ( f @ ( suc @ A_1 ) ) ) ) |
% 1.14/0.79 ( E @ ( f @ A_1 ) @ ( f @ ( suc @ ( suc @ ( suc @ A_1 ) ) ) ) ) |
% 1.14/0.79 ( iLEQ @ ( suc @ A_1 ) @ ( suc @ A_1 ) ))).
% 1.14/0.79 thf(zip_derived_cl5, plain,
% 1.14/0.79 (![X0 : $i]:
% 1.14/0.79 (~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0)))))
% 1.14/0.79 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 1.14/0.79 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 1.14/0.79 | ~ (E @ 0 @ (f @ X0))
% 1.14/0.79 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 1.14/0.79 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.14/0.79 | (E @ (f @ X0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 1.14/0.79 | (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 1.14/0.79 inference('cnf', [status(esa)], [clause_326])).
% 1.14/0.79 thf(clause_90, axiom,
% 1.14/0.79 (( ~( E @ 0 @ ( f @ ( suc @ ( suc @ ( suc @ A_1 ) ) ) ) ) ) |
% 1.14/0.79 ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ ( suc @ B_2 ) ) ) ) ) ) |
% 1.14/0.79 ( ~( E @ ( f @ B_2 ) @ ( f @ ( suc @ ( suc @ B_2 ) ) ) ) ) |
% 1.14/0.79 ( ~( E @ 0 @ ( f @ ( suc @ A_1 ) ) ) ) |
% 1.14/0.79 ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ A_1 ) ) ) ) ) |
% 1.14/0.79 ( ~( E @ 0 @ ( f @ A_1 ) ) ) | ( ~( E @ 0 @ ( f @ ( suc @ B_2 ) ) ) ) |
% 1.14/0.79 ( ~( E @ ( f @ B_2 ) @ ( f @ ( suc @ B_2 ) ) ) ) |
% 1.14/0.79 ( ~( iLEQ @ ( suc @ A_1 ) @ ( suc @ B_2 ) ) ) |
% 1.14/0.79 ( ~( E @ 0 @ ( f @ B_2 ) ) ) |
% 1.14/0.79 ( ~( E @ ( f @ A_1 ) @ ( f @ ( suc @ ( suc @ A_1 ) ) ) ) ) |
% 1.14/0.79 ( ~( E @ ( f @ A_1 ) @ ( f @ ( suc @ A_1 ) ) ) ) |
% 1.14/0.79 ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ B_2 ) ) ) ) ) |
% 1.14/0.79 ( E @ ( f @ A_1 ) @ ( f @ ( suc @ ( suc @ ( suc @ A_1 ) ) ) ) ) |
% 1.14/0.79 ( E @ ( f @ B_2 ) @ ( f @ ( suc @ ( suc @ ( suc @ B_2 ) ) ) ) ))).
% 1.14/0.79 thf(zip_derived_cl4, plain,
% 1.14/0.79 (![X0 : $i, X1 : $i]:
% 1.14/0.79 (~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0)))))
% 1.14/0.79 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X1)))))
% 1.14/0.79 | ~ (E @ (f @ X1) @ (f @ (suc @ (suc @ X1))))
% 1.14/0.79 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 1.14/0.79 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 1.14/0.79 | ~ (E @ 0 @ (f @ X0))
% 1.14/0.79 | ~ (E @ 0 @ (f @ (suc @ X1)))
% 1.14/0.79 | ~ (E @ (f @ X1) @ (f @ (suc @ X1)))
% 1.14/0.79 | ~ (iLEQ @ (suc @ X0) @ (suc @ X1))
% 1.14/0.79 | ~ (E @ 0 @ (f @ X1))
% 1.14/0.79 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 1.14/0.79 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.14/0.79 | ~ (E @ 0 @ (f @ (suc @ (suc @ X1))))
% 1.14/0.79 | (E @ (f @ X0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 1.14/0.79 | (E @ (f @ X1) @ (f @ (suc @ (suc @ (suc @ X1))))))),
% 1.14/0.79 inference('cnf', [status(esa)], [clause_90])).
% 1.14/0.79 thf(zip_derived_cl45, plain,
% 1.14/0.79 (![X0 : $i]:
% 1.14/0.79 ( (E @ (f @ X0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 1.14/0.79 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.14/0.79 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 1.14/0.79 | ~ (E @ 0 @ (f @ X0))
% 1.14/0.79 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 1.14/0.79 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 1.14/0.79 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0)))))
% 1.14/0.79 | (E @ (f @ X0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 1.14/0.79 | (E @ (f @ X0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 1.14/0.79 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 1.14/0.79 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.14/0.79 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 1.14/0.79 | ~ (E @ 0 @ (f @ X0))
% 1.14/0.79 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.14/0.79 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 1.14/0.79 | ~ (E @ 0 @ (f @ X0))
% 1.14/0.79 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 1.14/0.79 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 1.14/0.79 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 1.14/0.79 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0)))))
% 1.14/0.79 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0))))))),
% 1.14/0.79 inference('dp-resolution', [status(thm)],
% 1.14/0.79 [zip_derived_cl5, zip_derived_cl4])).
% 1.14/0.79 thf(zip_derived_cl101, plain,
% 1.14/0.79 (![X0 : $i]:
% 1.14/0.79 (~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0)))))
% 1.14/0.79 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 1.14/0.79 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 1.14/0.79 | ~ (E @ 0 @ (f @ X0))
% 1.14/0.79 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 1.14/0.79 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.14/0.79 | (E @ (f @ X0) @ (f @ (suc @ (suc @ (suc @ X0))))))),
% 1.14/0.79 inference('simplify', [status(thm)], [zip_derived_cl45])).
% 1.14/0.79 thf(clause_48, axiom,
% 1.14/0.79 (( ~( E @ 0 @ ( f @ A_1 ) ) ) | ( ~( E @ 0 @ ( f @ ( suc @ A_1 ) ) ) ) |
% 1.14/0.79 ( E @ ( f @ A_1 ) @ ( f @ ( suc @ A_1 ) ) ) |
% 1.14/0.79 ( iLEQ @ ( suc @ A_1 ) @ ( suc @ A_1 ) ))).
% 1.14/0.79 thf(zip_derived_cl2, plain,
% 1.14/0.79 (![X0 : $i]:
% 1.14/0.79 (~ (E @ 0 @ (f @ X0))
% 1.14/0.79 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 1.14/0.79 | (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.14/0.79 | (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 1.14/0.79 inference('cnf', [status(esa)], [clause_48])).
% 1.14/0.79 thf(clause_168, axiom,
% 1.14/0.79 (( ~( E @ 0 @ ( f @ ( suc @ A_1 ) ) ) ) | ( ~( E @ 0 @ ( f @ A_1 ) ) ) |
% 1.14/0.79 ( ~( E @ 0 @ ( f @ ( suc @ B_2 ) ) ) ) |
% 1.14/0.79 ( ~( iLEQ @ ( suc @ A_1 ) @ ( suc @ B_2 ) ) ) |
% 1.14/0.79 ( ~( E @ 0 @ ( f @ B_2 ) ) ) |
% 1.14/0.79 ( E @ ( f @ A_1 ) @ ( f @ ( suc @ A_1 ) ) ) |
% 1.14/0.79 ( E @ ( f @ B_2 ) @ ( f @ ( suc @ B_2 ) ) ))).
% 1.14/0.79 thf(zip_derived_cl13, plain,
% 1.14/0.79 (![X0 : $i, X1 : $i]:
% 1.14/0.79 (~ (E @ 0 @ (f @ (suc @ X0)))
% 1.14/0.79 | ~ (E @ 0 @ (f @ X0))
% 1.14/0.79 | ~ (E @ 0 @ (f @ (suc @ X1)))
% 1.14/0.79 | ~ (iLEQ @ (suc @ X0) @ (suc @ X1))
% 1.14/0.79 | ~ (E @ 0 @ (f @ X1))
% 1.14/0.79 | (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.14/0.79 | (E @ (f @ X1) @ (f @ (suc @ X1))))),
% 1.14/0.79 inference('cnf', [status(esa)], [clause_168])).
% 1.14/0.79 thf(zip_derived_cl34, plain,
% 1.14/0.79 (![X0 : $i]:
% 1.14/0.79 ( (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.14/0.79 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 1.14/0.79 | ~ (E @ 0 @ (f @ X0))
% 1.14/0.79 | (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.14/0.79 | (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.14/0.79 | ~ (E @ 0 @ (f @ X0))
% 1.14/0.79 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 1.14/0.79 | ~ (E @ 0 @ (f @ X0))
% 1.14/0.79 | ~ (E @ 0 @ (f @ (suc @ X0))))),
% 1.14/0.79 inference('dp-resolution', [status(thm)],
% 1.14/0.79 [zip_derived_cl2, zip_derived_cl13])).
% 1.14/0.79 thf(zip_derived_cl100, plain,
% 1.14/0.79 (![X0 : $i]:
% 1.14/0.79 (~ (E @ 0 @ (f @ X0))
% 1.14/0.79 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 1.14/0.79 | (E @ (f @ X0) @ (f @ (suc @ X0))))),
% 1.14/0.79 inference('simplify', [status(thm)], [zip_derived_cl34])).
% 1.14/0.79 thf(zip_derived_cl102, plain,
% 1.14/0.79 (![X0 : $i]:
% 1.14/0.79 ( (E @ (f @ X0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 1.14/0.79 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 1.14/0.79 | ~ (E @ 0 @ (f @ X0))
% 1.14/0.79 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 1.14/0.79 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 1.14/0.79 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0))))))),
% 1.14/0.79 inference('clc', [status(thm)], [zip_derived_cl101, zip_derived_cl100])).
% 1.14/0.79 thf(zip_derived_cl106, plain,
% 1.14/0.79 (![X0 : $i]:
% 1.14/0.79 (~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ (suc @ X0))))))
% 1.14/0.79 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.14/0.79 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 1.14/0.79 | ~ (E @ 0 @ (f @ X0))
% 1.14/0.79 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 1.14/0.79 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 1.14/0.79 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0))))))),
% 1.14/0.79 inference('clc', [status(thm)], [zip_derived_cl105, zip_derived_cl102])).
% 1.14/0.79 thf(zip_derived_cl100, plain,
% 1.14/0.79 (![X0 : $i]:
% 1.14/0.79 (~ (E @ 0 @ (f @ X0))
% 1.14/0.79 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 1.14/0.79 | (E @ (f @ X0) @ (f @ (suc @ X0))))),
% 1.14/0.79 inference('simplify', [status(thm)], [zip_derived_cl34])).
% 1.14/0.79 thf(zip_derived_cl107, plain,
% 1.14/0.79 (![X0 : $i]:
% 1.14/0.79 (~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0)))))
% 1.14/0.79 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 1.14/0.79 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 1.14/0.79 | ~ (E @ 0 @ (f @ X0))
% 1.14/0.79 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 1.14/0.79 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ (suc @ X0)))))))),
% 1.14/0.79 inference('clc', [status(thm)], [zip_derived_cl106, zip_derived_cl100])).
% 1.14/0.79 thf(clause_254, axiom,
% 1.14/0.79 (( ~( E @ 0 @ ( f @ ( suc @ ( suc @ A_1 ) ) ) ) ) |
% 1.14/0.79 ( ~( E @ 0 @ ( f @ ( suc @ A_1 ) ) ) ) |
% 1.14/0.79 ( ~( E @ ( f @ A_1 ) @ ( f @ ( suc @ A_1 ) ) ) ) |
% 1.14/0.79 ( ~( E @ 0 @ ( f @ A_1 ) ) ) |
% 1.14/0.79 ( E @ ( f @ A_1 ) @ ( f @ ( suc @ ( suc @ A_1 ) ) ) ) |
% 1.14/0.79 ( iLEQ @ ( suc @ A_1 ) @ ( suc @ A_1 ) ))).
% 1.14/0.79 thf(zip_derived_cl17, plain,
% 1.14/0.79 (![X0 : $i]:
% 1.14/0.79 (~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 1.14/0.79 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 1.14/0.79 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.14/0.79 | ~ (E @ 0 @ (f @ X0))
% 1.14/0.79 | (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 1.14/0.79 | (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 1.14/0.79 inference('cnf', [status(esa)], [clause_254])).
% 1.14/0.79 thf(clause_79, axiom,
% 1.14/0.79 (( ~( E @ 0 @ ( f @ ( suc @ A_1 ) ) ) ) |
% 1.14/0.79 ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ A_1 ) ) ) ) ) |
% 1.14/0.79 ( ~( E @ 0 @ ( f @ A_1 ) ) ) | ( ~( E @ 0 @ ( f @ ( suc @ B_2 ) ) ) ) |
% 1.14/0.79 ( ~( E @ ( f @ B_2 ) @ ( f @ ( suc @ B_2 ) ) ) ) |
% 1.14/0.79 ( ~( iLEQ @ ( suc @ A_1 ) @ ( suc @ B_2 ) ) ) |
% 1.14/0.79 ( ~( E @ 0 @ ( f @ B_2 ) ) ) |
% 1.14/0.79 ( ~( E @ ( f @ A_1 ) @ ( f @ ( suc @ A_1 ) ) ) ) |
% 1.14/0.79 ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ B_2 ) ) ) ) ) |
% 1.14/0.79 ( E @ ( f @ A_1 ) @ ( f @ ( suc @ ( suc @ A_1 ) ) ) ) |
% 1.14/0.79 ( E @ ( f @ B_2 ) @ ( f @ ( suc @ ( suc @ B_2 ) ) ) ))).
% 1.14/0.79 thf(zip_derived_cl3, plain,
% 1.14/0.79 (![X0 : $i, X1 : $i]:
% 1.14/0.79 (~ (E @ 0 @ (f @ (suc @ X0)))
% 1.14/0.79 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 1.14/0.79 | ~ (E @ 0 @ (f @ X0))
% 1.14/0.79 | ~ (E @ 0 @ (f @ (suc @ X1)))
% 1.14/0.79 | ~ (E @ (f @ X1) @ (f @ (suc @ X1)))
% 1.14/0.79 | ~ (iLEQ @ (suc @ X0) @ (suc @ X1))
% 1.14/0.79 | ~ (E @ 0 @ (f @ X1))
% 1.14/0.79 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.14/0.79 | ~ (E @ 0 @ (f @ (suc @ (suc @ X1))))
% 1.14/0.79 | (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 1.14/0.79 | (E @ (f @ X1) @ (f @ (suc @ (suc @ X1)))))),
% 1.14/0.79 inference('cnf', [status(esa)], [clause_79])).
% 1.14/0.79 thf(zip_derived_cl76, plain,
% 1.14/0.79 (![X0 : $i]:
% 1.14/0.79 ( (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 1.14/0.79 | ~ (E @ 0 @ (f @ X0))
% 1.14/0.79 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.14/0.79 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 1.14/0.79 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 1.14/0.79 | (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 1.14/0.79 | (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 1.14/0.79 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 1.14/0.79 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.14/0.79 | ~ (E @ 0 @ (f @ X0))
% 1.14/0.79 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.14/0.79 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 1.14/0.79 | ~ (E @ 0 @ (f @ X0))
% 1.14/0.79 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 1.14/0.79 | ~ (E @ 0 @ (f @ (suc @ X0))))),
% 1.14/0.79 inference('dp-resolution', [status(thm)],
% 1.14/0.79 [zip_derived_cl17, zip_derived_cl3])).
% 1.14/0.79 thf(zip_derived_cl103, plain,
% 1.14/0.79 (![X0 : $i]:
% 1.14/0.79 (~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 1.14/0.79 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 1.14/0.79 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.14/0.79 | ~ (E @ 0 @ (f @ X0))
% 1.14/0.79 | (E @ (f @ X0) @ (f @ (suc @ (suc @ X0)))))),
% 1.14/0.79 inference('simplify', [status(thm)], [zip_derived_cl76])).
% 1.14/0.79 thf(zip_derived_cl100, plain,
% 1.14/0.79 (![X0 : $i]:
% 1.14/0.79 (~ (E @ 0 @ (f @ X0))
% 1.14/0.79 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 1.14/0.79 | (E @ (f @ X0) @ (f @ (suc @ X0))))),
% 1.14/0.79 inference('simplify', [status(thm)], [zip_derived_cl34])).
% 1.14/0.79 thf(zip_derived_cl104, plain,
% 1.14/0.79 (![X0 : $i]:
% 1.14/0.79 ( (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 1.14/0.79 | ~ (E @ 0 @ (f @ X0))
% 1.14/0.79 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 1.14/0.79 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0)))))),
% 1.14/0.79 inference('clc', [status(thm)], [zip_derived_cl103, zip_derived_cl100])).
% 1.14/0.79 thf(zip_derived_cl108, plain,
% 1.14/0.79 (![X0 : $i]:
% 1.14/0.79 (~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ (suc @ X0))))))
% 1.14/0.79 | ~ (E @ 0 @ (f @ X0))
% 1.14/0.79 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 1.14/0.79 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 1.14/0.79 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0))))))),
% 1.14/0.79 inference('clc', [status(thm)], [zip_derived_cl107, zip_derived_cl104])).
% 1.14/0.79 thf(zip_derived_cl110, plain,
% 1.14/0.79 ((~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ (suc @ z))))))
% 1.14/0.79 | ~ (E @ 0 @ (f @ (suc @ (suc @ z))))
% 1.14/0.79 | ~ (E @ 0 @ (f @ (suc @ z)))
% 1.14/0.79 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ z))))))),
% 1.14/0.79 inference('s_sup-', [status(thm)], [zip_derived_cl92, zip_derived_cl108])).
% 1.14/0.79 thf(clause_114, axiom,
% 1.14/0.79 (( ~( LE @ ( f @ ( suc @ ( suc @ B_1 ) ) ) @ ( s @ 0 ) ) ) |
% 1.14/0.79 ( E @ 0 @ ( f @ ( suc @ ( suc @ B_1 ) ) ) ) | ( LE @ ( f @ B_1 ) @ 0 ))).
% 1.14/0.79 thf(zip_derived_cl18, plain,
% 1.14/0.79 (![X0 : $i]:
% 1.14/0.79 (~ (LE @ (f @ (suc @ (suc @ X0))) @ (s @ 0))
% 1.14/0.79 | (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 1.14/0.79 | (LE @ (f @ X0) @ 0))),
% 1.14/0.79 inference('cnf', [status(esa)], [clause_114])).
% 1.14/0.79 thf(zip_derived_cl7, plain, (![X0 : $i]: (LE @ (f @ X0) @ (s @ 0))),
% 1.14/0.80 inference('cnf', [status(esa)], [clause_299])).
% 1.14/0.80 thf(zip_derived_cl98, plain,
% 1.14/0.80 (![X0 : $i]: ( (E @ 0 @ (f @ (suc @ (suc @ X0)))) | (LE @ (f @ X0) @ 0))),
% 1.14/0.80 inference('demod', [status(thm)], [zip_derived_cl18, zip_derived_cl7])).
% 1.14/0.80 thf(zip_derived_cl20, plain, (~ (LE @ (f @ z) @ 0)),
% 1.14/0.80 inference('cnf', [status(esa)], [clause_160])).
% 1.14/0.80 thf(zip_derived_cl99, plain, ( (E @ 0 @ (f @ (suc @ (suc @ z))))),
% 1.14/0.80 inference('s_sup-', [status(thm)], [zip_derived_cl98, zip_derived_cl20])).
% 1.14/0.80 thf(clause_328, axiom,
% 1.14/0.80 (( ~( LE @ ( f @ ( suc @ B_1 ) ) @ ( s @ 0 ) ) ) |
% 1.14/0.80 ( E @ 0 @ ( f @ ( suc @ B_1 ) ) ) | ( LE @ ( f @ B_1 ) @ 0 ))).
% 1.14/0.80 thf(zip_derived_cl9, plain,
% 1.14/0.80 (![X0 : $i]:
% 1.14/0.80 (~ (LE @ (f @ (suc @ X0)) @ (s @ 0))
% 1.14/0.80 | (E @ 0 @ (f @ (suc @ X0)))
% 1.14/0.80 | (LE @ (f @ X0) @ 0))),
% 1.14/0.80 inference('cnf', [status(esa)], [clause_328])).
% 1.14/0.80 thf(zip_derived_cl7, plain, (![X0 : $i]: (LE @ (f @ X0) @ (s @ 0))),
% 1.14/0.80 inference('cnf', [status(esa)], [clause_299])).
% 1.14/0.80 thf(zip_derived_cl95, plain,
% 1.14/0.80 (![X0 : $i]: ( (E @ 0 @ (f @ (suc @ X0))) | (LE @ (f @ X0) @ 0))),
% 1.14/0.80 inference('demod', [status(thm)], [zip_derived_cl9, zip_derived_cl7])).
% 1.14/0.80 thf(zip_derived_cl20, plain, (~ (LE @ (f @ z) @ 0)),
% 1.14/0.80 inference('cnf', [status(esa)], [clause_160])).
% 1.14/0.80 thf(zip_derived_cl96, plain, ( (E @ 0 @ (f @ (suc @ z)))),
% 1.14/0.80 inference('s_sup-', [status(thm)], [zip_derived_cl95, zip_derived_cl20])).
% 1.14/0.80 thf(clause_260, axiom,
% 1.14/0.80 (( ~( LE @ ( f @ ( suc @ ( suc @ ( suc @ B_1 ) ) ) ) @ ( s @ 0 ) ) ) |
% 1.14/0.80 ( E @ 0 @ ( f @ ( suc @ ( suc @ ( suc @ B_1 ) ) ) ) ) |
% 1.14/0.80 ( LE @ ( f @ B_1 ) @ 0 ))).
% 1.14/0.80 thf(zip_derived_cl1, plain,
% 1.14/0.80 (![X0 : $i]:
% 1.14/0.80 (~ (LE @ (f @ (suc @ (suc @ (suc @ X0)))) @ (s @ 0))
% 1.14/0.80 | (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0)))))
% 1.14/0.80 | (LE @ (f @ X0) @ 0))),
% 1.14/0.80 inference('cnf', [status(esa)], [clause_260])).
% 1.14/0.80 thf(zip_derived_cl7, plain, (![X0 : $i]: (LE @ (f @ X0) @ (s @ 0))),
% 1.14/0.80 inference('cnf', [status(esa)], [clause_299])).
% 1.14/0.80 thf(zip_derived_cl93, plain,
% 1.14/0.80 (![X0 : $i]:
% 1.14/0.80 ( (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0))))) | (LE @ (f @ X0) @ 0))),
% 1.14/0.80 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl7])).
% 1.14/0.80 thf(zip_derived_cl20, plain, (~ (LE @ (f @ z) @ 0)),
% 1.14/0.80 inference('cnf', [status(esa)], [clause_160])).
% 1.14/0.80 thf(zip_derived_cl94, plain, ( (E @ 0 @ (f @ (suc @ (suc @ (suc @ z)))))),
% 1.14/0.80 inference('s_sup-', [status(thm)], [zip_derived_cl93, zip_derived_cl20])).
% 1.14/0.80 thf(zip_derived_cl114, plain,
% 1.14/0.80 (~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ (suc @ z))))))),
% 1.14/0.80 inference('demod', [status(thm)],
% 1.14/0.80 [zip_derived_cl110, zip_derived_cl99, zip_derived_cl96,
% 1.14/0.80 zip_derived_cl94])).
% 1.14/0.80 thf(zip_derived_cl117, plain, ( (LE @ (f @ z) @ 0)),
% 1.14/0.80 inference('s_sup-', [status(thm)], [zip_derived_cl97, zip_derived_cl114])).
% 1.14/0.80 thf(zip_derived_cl118, plain, ($false),
% 1.14/0.80 inference('demod', [status(thm)], [zip_derived_cl20, zip_derived_cl117])).
% 1.14/0.80
% 1.14/0.80 % SZS output end Refutation
% 1.14/0.80
% 1.14/0.80
% 1.14/0.80 % Terminating...
% 1.64/0.88 % Runner terminated.
% 1.64/0.89 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------