%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYO650-1 : TPTP v9.2.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.InuhosyfEB true
% Computer : n022.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 : Thu Oct 2 05:08:04 PM UTC 2025
% Result : Unsatisfiable 0.57s 0.83s
% Output : Refutation 0.57s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SYO650-1 : TPTP v9.2.0. Released v7.3.0.
% 0.06/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.InuhosyfEB true
% 0.13/0.34 % Computer : n022.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Oct 1 18:00:38 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.54/0.64 % Total configuration time : 435
% 0.54/0.64 % Estimated wc time : 1092
% 0.54/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.56/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.56/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.56/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.56/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.56/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.56/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.56/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.57/0.83 % Solved by fo/fo3_bce.sh.
% 0.57/0.83 % BCE start: 36
% 0.57/0.83 % BCE eliminated: 0
% 0.57/0.83 % PE start: 36
% 0.57/0.83 logic: neq
% 0.57/0.83 % PE eliminated: 0
% 0.57/0.83 % done 59 iterations in 0.089s
% 0.57/0.83 % SZS status Unsatisfiable for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.57/0.83 % SZS output start Refutation
% 0.57/0.83 thf(LE_type, type, LE: $i > $i > $o).
% 0.57/0.83 thf(suc_type, type, suc: $i > $i).
% 0.57/0.83 thf(f_type, type, f: $i > $i).
% 0.57/0.83 thf(z_type, type, z: $i).
% 0.57/0.83 thf(s_type, type, s: $i > $i).
% 0.57/0.83 thf(0_type, type, 0: $i).
% 0.57/0.83 thf(E_type, type, E: $i > $i > $o).
% 0.57/0.83 thf(iLEQ_type, type, iLEQ: $i > $i > $o).
% 0.57/0.83 thf(clause_376, axiom,
% 0.57/0.83 (( ~( LE @ ( f @ ( suc @ ( suc @ ( suc @ B_5 ) ) ) ) @ ( s @ 0 ) ) ) |
% 0.57/0.83 ( E @ 0 @ ( f @ ( suc @ ( suc @ ( suc @ B_5 ) ) ) ) ) |
% 0.57/0.83 ( LE @ ( f @ B_5 ) @ 0 ))).
% 0.57/0.83 thf(zip_derived_cl21, plain,
% 0.57/0.83 (![X0 : $i]:
% 0.57/0.83 (~ (LE @ (f @ (suc @ (suc @ (suc @ X0)))) @ (s @ 0))
% 0.57/0.83 | (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0)))))
% 0.57/0.83 | (LE @ (f @ X0) @ 0))),
% 0.57/0.83 inference('cnf', [status(esa)], [clause_376])).
% 0.57/0.83 thf(clause_406, axiom, (LE @ ( f @ A ) @ ( s @ 0 ))).
% 0.57/0.83 thf(zip_derived_cl9, plain, (![X0 : $i]: (LE @ (f @ X0) @ (s @ 0))),
% 0.57/0.83 inference('cnf', [status(esa)], [clause_406])).
% 0.57/0.83 thf(zip_derived_cl47, plain,
% 0.57/0.83 (![X0 : $i]:
% 0.57/0.83 ( (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0))))) | (LE @ (f @ X0) @ 0))),
% 0.57/0.83 inference('demod', [status(thm)], [zip_derived_cl21, zip_derived_cl9])).
% 0.57/0.83 thf(clause_206, axiom, (~( LE @ ( f @ z ) @ 0 ))).
% 0.57/0.83 thf(zip_derived_cl27, plain, (~ (LE @ (f @ z) @ 0)),
% 0.57/0.83 inference('cnf', [status(esa)], [clause_206])).
% 0.57/0.83 thf(zip_derived_cl48, plain, ( (E @ 0 @ (f @ (suc @ (suc @ (suc @ z)))))),
% 0.57/0.83 inference('sup-', [status(thm)], [zip_derived_cl47, zip_derived_cl27])).
% 0.57/0.83 thf(clause_135, axiom,
% 0.57/0.83 (( ~( E @ 0 @ ( f @ ( suc @ ( suc @ ( suc @ A_1 ) ) ) ) ) ) |
% 0.57/0.83 ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ B_6 ) ) ) ) ) |
% 0.57/0.83 ( ~( iLEQ @ ( suc @ A_1 ) @ ( suc @ B_6 ) ) ) |
% 0.57/0.83 ( ~( E @ 0 @ ( f @ ( suc @ B_7 ) ) ) ) |
% 0.57/0.83 ( ~( E @ 0 @ ( f @ ( suc @ A_1 ) ) ) ) |
% 0.57/0.83 ( ~( E @ ( f @ B_7 ) @ ( f @ ( suc @ B_7 ) ) ) ) |
% 0.57/0.83 ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ A_1 ) ) ) ) ) |
% 0.57/0.83 ( ~( E @ 0 @ ( f @ A_1 ) ) ) |
% 0.57/0.83 ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ B_7 ) ) ) ) ) |
% 0.57/0.83 ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ ( suc @ B_6 ) ) ) ) ) ) |
% 0.57/0.83 ( ~( E @ ( f @ A_1 ) @ ( f @ ( suc @ ( suc @ A_1 ) ) ) ) ) |
% 0.57/0.83 ( ~( iLEQ @ ( suc @ B_6 ) @ ( suc @ B_7 ) ) ) |
% 0.57/0.83 ( ~( E @ ( f @ A_1 ) @ ( f @ ( suc @ A_1 ) ) ) ) |
% 0.57/0.83 ( ~( E @ 0 @ ( f @ B_6 ) ) ) |
% 0.57/0.83 ( ~( E @ ( f @ B_7 ) @ ( f @ ( suc @ ( suc @ B_7 ) ) ) ) ) |
% 0.57/0.83 ( ~( E @ ( f @ B_6 ) @ ( f @ ( suc @ ( suc @ B_6 ) ) ) ) ) |
% 0.57/0.83 ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ ( suc @ B_7 ) ) ) ) ) ) |
% 0.57/0.83 ( ~( E @ 0 @ ( f @ B_7 ) ) ) |
% 0.57/0.83 ( ~( E @ ( f @ B_6 ) @ ( f @ ( suc @ B_6 ) ) ) ) |
% 0.57/0.83 ( ~( E @ 0 @ ( f @ ( suc @ B_6 ) ) ) ))).
% 0.57/0.83 thf(zip_derived_cl23, plain,
% 0.57/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.57/0.83 (~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0)))))
% 0.57/0.83 | ~ (E @ 0 @ (f @ (suc @ (suc @ X1))))
% 0.57/0.83 | ~ (iLEQ @ (suc @ X0) @ (suc @ X1))
% 0.57/0.83 | ~ (E @ 0 @ (f @ (suc @ X2)))
% 0.57/0.83 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.57/0.83 | ~ (E @ (f @ X2) @ (f @ (suc @ X2)))
% 0.57/0.83 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 0.57/0.83 | ~ (E @ 0 @ (f @ X0))
% 0.57/0.83 | ~ (E @ 0 @ (f @ (suc @ (suc @ X2))))
% 0.57/0.83 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X1)))))
% 0.57/0.83 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 0.57/0.83 | ~ (iLEQ @ (suc @ X1) @ (suc @ X2))
% 0.57/0.83 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.57/0.83 | ~ (E @ 0 @ (f @ X1))
% 0.57/0.83 | ~ (E @ (f @ X2) @ (f @ (suc @ (suc @ X2))))
% 0.57/0.83 | ~ (E @ (f @ X1) @ (f @ (suc @ (suc @ X1))))
% 0.57/0.83 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X2)))))
% 0.57/0.83 | ~ (E @ 0 @ (f @ X2))
% 0.57/0.83 | ~ (E @ (f @ X1) @ (f @ (suc @ X1)))
% 0.57/0.83 | ~ (E @ 0 @ (f @ (suc @ X1))))),
% 0.57/0.83 inference('cnf', [status(esa)], [clause_135])).
% 0.57/0.83 thf(zip_derived_cl127, plain,
% 0.57/0.83 (![X0 : $i]:
% 0.57/0.83 (~ (E @ 0 @ (f @ (suc @ X0)))
% 0.57/0.83 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.57/0.83 | ~ (E @ 0 @ (f @ X0))
% 0.57/0.83 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0)))))
% 0.57/0.83 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 0.57/0.83 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 0.57/0.83 | ~ (E @ 0 @ (f @ X0))
% 0.57/0.83 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.57/0.83 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 0.57/0.83 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 0.57/0.83 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0)))))
% 0.57/0.83 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 0.57/0.83 | ~ (E @ 0 @ (f @ X0))
% 0.57/0.83 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 0.57/0.83 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.57/0.83 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.57/0.83 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.57/0.83 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 0.57/0.83 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0))))))),
% 0.57/0.83 inference('eq_fact', [status(thm)], [zip_derived_cl23])).
% 0.57/0.83 thf(zip_derived_cl128, plain,
% 0.57/0.83 (![X0 : $i]:
% 0.57/0.83 (~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 0.57/0.83 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 0.57/0.83 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 0.57/0.83 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0)))))
% 0.57/0.83 | ~ (E @ 0 @ (f @ X0))
% 0.57/0.83 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.57/0.83 | ~ (E @ 0 @ (f @ (suc @ X0))))),
% 0.57/0.83 inference('simplify', [status(thm)], [zip_derived_cl127])).
% 0.57/0.83 thf(clause_189, axiom,
% 0.57/0.83 (( ~( E @ 0 @ ( f @ ( suc @ ( suc @ ( suc @ A_1 ) ) ) ) ) ) |
% 0.57/0.83 ( ~( E @ 0 @ ( f @ ( suc @ A_1 ) ) ) ) |
% 0.57/0.83 ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ A_1 ) ) ) ) ) |
% 0.57/0.83 ( ~( E @ 0 @ ( f @ A_1 ) ) ) |
% 0.57/0.83 ( ~( E @ ( f @ A_1 ) @ ( f @ ( suc @ ( suc @ A_1 ) ) ) ) ) |
% 0.57/0.83 ( ~( E @ ( f @ A_1 ) @ ( f @ ( suc @ A_1 ) ) ) ) |
% 0.57/0.83 ( iLEQ @ ( suc @ A_1 ) @ ( suc @ A_1 ) ))).
% 0.57/0.83 thf(zip_derived_cl13, plain,
% 0.57/0.83 (![X0 : $i]:
% 0.57/0.83 (~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0)))))
% 0.57/0.83 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.57/0.83 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 0.57/0.83 | ~ (E @ 0 @ (f @ X0))
% 0.57/0.83 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 0.57/0.83 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.57/0.83 | (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 0.57/0.83 inference('cnf', [status(esa)], [clause_189])).
% 0.57/0.83 thf(clause_345, axiom,
% 0.57/0.83 (( ~( E @ 0 @ ( f @ ( suc @ ( suc @ A_1 ) ) ) ) ) |
% 0.57/0.83 ( ~( E @ 0 @ ( f @ ( suc @ A_1 ) ) ) ) |
% 0.57/0.83 ( ~( E @ ( f @ A_1 ) @ ( f @ ( suc @ A_1 ) ) ) ) |
% 0.57/0.83 ( ~( E @ 0 @ ( f @ A_1 ) ) ) |
% 0.57/0.83 ( E @ ( f @ A_1 ) @ ( f @ ( suc @ ( suc @ A_1 ) ) ) ) |
% 0.57/0.83 ( iLEQ @ ( suc @ A_1 ) @ ( suc @ A_1 ) ))).
% 0.57/0.83 thf(zip_derived_cl25, plain,
% 0.57/0.83 (![X0 : $i]:
% 0.57/0.83 (~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 0.57/0.83 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.57/0.83 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.57/0.83 | ~ (E @ 0 @ (f @ X0))
% 0.57/0.83 | (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 0.57/0.83 | (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 0.57/0.83 inference('cnf', [status(esa)], [clause_345])).
% 0.57/0.83 thf(clause_64, axiom,
% 0.57/0.83 (( ~( E @ 0 @ ( f @ A_1 ) ) ) | ( ~( E @ 0 @ ( f @ ( suc @ A_1 ) ) ) ) |
% 0.57/0.83 ( E @ ( f @ A_1 ) @ ( f @ ( suc @ A_1 ) ) ) |
% 0.57/0.83 ( iLEQ @ ( suc @ A_1 ) @ ( suc @ A_1 ) ))).
% 0.57/0.83 thf(zip_derived_cl33, plain,
% 0.57/0.83 (![X0 : $i]:
% 0.57/0.83 (~ (E @ 0 @ (f @ X0))
% 0.57/0.83 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.57/0.83 | (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.57/0.83 | (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 0.57/0.83 inference('cnf', [status(esa)], [clause_64])).
% 0.57/0.83 thf(zip_derived_cl52, plain,
% 0.57/0.83 (![X0 : $i]:
% 0.57/0.83 ( (iLEQ @ (suc @ X0) @ (suc @ X0))
% 0.57/0.83 | (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 0.57/0.83 | ~ (E @ 0 @ (f @ X0))
% 0.57/0.83 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.57/0.83 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0)))))),
% 0.57/0.83 inference('clc', [status(thm)], [zip_derived_cl25, zip_derived_cl33])).
% 0.57/0.83 thf(zip_derived_cl55, plain,
% 0.57/0.83 (![X0 : $i]:
% 0.57/0.83 ( (iLEQ @ (suc @ X0) @ (suc @ X0))
% 0.57/0.83 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.57/0.83 | ~ (E @ 0 @ (f @ X0))
% 0.57/0.83 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 0.57/0.83 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.57/0.83 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0))))))),
% 0.57/0.83 inference('clc', [status(thm)], [zip_derived_cl13, zip_derived_cl52])).
% 0.57/0.83 thf(zip_derived_cl33, plain,
% 0.57/0.83 (![X0 : $i]:
% 0.57/0.83 (~ (E @ 0 @ (f @ X0))
% 0.57/0.83 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.57/0.83 | (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.57/0.83 | (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 0.57/0.83 inference('cnf', [status(esa)], [clause_64])).
% 0.57/0.83 thf(zip_derived_cl56, plain,
% 0.57/0.83 (![X0 : $i]:
% 0.57/0.83 (~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0)))))
% 0.57/0.83 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.57/0.83 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 0.57/0.83 | ~ (E @ 0 @ (f @ X0))
% 0.57/0.83 | (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 0.57/0.83 inference('clc', [status(thm)], [zip_derived_cl55, zip_derived_cl33])).
% 0.57/0.83 thf(zip_derived_cl130, plain,
% 0.57/0.83 (![X0 : $i]:
% 0.57/0.83 (~ (E @ 0 @ (f @ (suc @ X0)))
% 0.57/0.83 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.57/0.83 | ~ (E @ 0 @ (f @ X0))
% 0.57/0.83 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0)))))
% 0.57/0.83 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 0.57/0.83 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0)))))),
% 0.57/0.83 inference('clc', [status(thm)], [zip_derived_cl128, zip_derived_cl56])).
% 0.57/0.83 thf(clause_333, axiom,
% 0.57/0.83 (( ~( iLEQ @ ( suc @ A_1 ) @ ( suc @ B_6 ) ) ) |
% 0.57/0.83 ( ~( E @ 0 @ ( f @ ( suc @ B_7 ) ) ) ) |
% 0.57/0.83 ( ~( E @ 0 @ ( f @ ( suc @ A_1 ) ) ) ) | ( ~( E @ 0 @ ( f @ A_1 ) ) ) |
% 0.57/0.83 ( ~( iLEQ @ ( suc @ B_6 ) @ ( suc @ B_7 ) ) ) |
% 0.57/0.83 ( ~( E @ 0 @ ( f @ B_6 ) ) ) | ( ~( E @ 0 @ ( f @ B_7 ) ) ) |
% 0.57/0.83 ( ~( E @ 0 @ ( f @ ( suc @ B_6 ) ) ) ) |
% 0.57/0.83 ( E @ ( f @ A_1 ) @ ( f @ ( suc @ A_1 ) ) ) |
% 0.57/0.83 ( E @ ( f @ B_6 ) @ ( f @ ( suc @ B_6 ) ) ) |
% 0.57/0.83 ( E @ ( f @ B_7 ) @ ( f @ ( suc @ B_7 ) ) ))).
% 0.57/0.83 thf(zip_derived_cl20, plain,
% 0.57/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.57/0.83 (~ (iLEQ @ (suc @ X0) @ (suc @ X1))
% 0.57/0.83 | ~ (E @ 0 @ (f @ (suc @ X2)))
% 0.57/0.83 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.57/0.83 | ~ (E @ 0 @ (f @ X0))
% 0.57/0.83 | ~ (iLEQ @ (suc @ X1) @ (suc @ X2))
% 0.57/0.83 | ~ (E @ 0 @ (f @ X1))
% 0.57/0.83 | ~ (E @ 0 @ (f @ X2))
% 0.57/0.83 | ~ (E @ 0 @ (f @ (suc @ X1)))
% 0.57/0.83 | (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.57/0.83 | (E @ (f @ X1) @ (f @ (suc @ X1)))
% 0.57/0.83 | (E @ (f @ X2) @ (f @ (suc @ X2))))),
% 0.57/0.83 inference('cnf', [status(esa)], [clause_333])).
% 0.57/0.83 thf(zip_derived_cl70, plain,
% 0.57/0.83 (![X0 : $i]:
% 0.57/0.83 ( (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.57/0.83 | (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.57/0.83 | (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.57/0.83 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.57/0.83 | ~ (E @ 0 @ (f @ X0))
% 0.57/0.83 | ~ (E @ 0 @ (f @ X0))
% 0.57/0.83 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 0.57/0.83 | ~ (E @ 0 @ (f @ X0))
% 0.57/0.83 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.57/0.83 | ~ (E @ 0 @ (f @ (suc @ X0))))),
% 0.57/0.83 inference('eq_fact', [status(thm)], [zip_derived_cl20])).
% 0.57/0.83 thf(zip_derived_cl71, plain,
% 0.57/0.83 (![X0 : $i]:
% 0.57/0.83 (~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 0.57/0.83 | ~ (E @ 0 @ (f @ X0))
% 0.57/0.83 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.57/0.83 | (E @ (f @ X0) @ (f @ (suc @ X0))))),
% 0.57/0.83 inference('simplify', [status(thm)], [zip_derived_cl70])).
% 0.57/0.83 thf(zip_derived_cl33, plain,
% 0.57/0.83 (![X0 : $i]:
% 0.57/0.83 (~ (E @ 0 @ (f @ X0))
% 0.57/0.83 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.57/0.83 | (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.57/0.83 | (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 0.57/0.83 inference('cnf', [status(esa)], [clause_64])).
% 0.57/0.83 thf(zip_derived_cl107, plain,
% 0.57/0.83 (![X0 : $i]:
% 0.57/0.83 ( (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.57/0.83 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.57/0.83 | ~ (E @ 0 @ (f @ X0)))),
% 0.57/0.83 inference('clc', [status(thm)], [zip_derived_cl71, zip_derived_cl33])).
% 0.57/0.83 thf(zip_derived_cl131, plain,
% 0.57/0.83 (![X0 : $i]:
% 0.57/0.83 (~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 0.57/0.83 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 0.57/0.83 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0)))))
% 0.57/0.83 | ~ (E @ 0 @ (f @ X0))
% 0.57/0.83 | ~ (E @ 0 @ (f @ (suc @ X0))))),
% 0.57/0.83 inference('clc', [status(thm)], [zip_derived_cl130, zip_derived_cl107])).
% 0.57/0.83 thf(clause_309, axiom,
% 0.57/0.83 (( ~( E @ 0 @ ( f @ ( suc @ ( suc @ B_6 ) ) ) ) ) |
% 0.57/0.83 ( ~( iLEQ @ ( suc @ A_1 ) @ ( suc @ B_6 ) ) ) |
% 0.57/0.83 ( ~( E @ 0 @ ( f @ ( suc @ B_7 ) ) ) ) |
% 0.57/0.83 ( ~( E @ 0 @ ( f @ ( suc @ A_1 ) ) ) ) |
% 0.57/0.83 ( ~( E @ ( f @ B_7 ) @ ( f @ ( suc @ B_7 ) ) ) ) |
% 0.57/0.83 ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ A_1 ) ) ) ) ) |
% 0.57/0.83 ( ~( E @ 0 @ ( f @ A_1 ) ) ) |
% 0.57/0.83 ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ B_7 ) ) ) ) ) |
% 0.57/0.83 ( ~( iLEQ @ ( suc @ B_6 ) @ ( suc @ B_7 ) ) ) |
% 0.57/0.83 ( ~( E @ ( f @ A_1 ) @ ( f @ ( suc @ A_1 ) ) ) ) |
% 0.57/0.83 ( ~( E @ 0 @ ( f @ B_6 ) ) ) | ( ~( E @ 0 @ ( f @ B_7 ) ) ) |
% 0.57/0.83 ( ~( E @ ( f @ B_6 ) @ ( f @ ( suc @ B_6 ) ) ) ) |
% 0.57/0.83 ( ~( E @ 0 @ ( f @ ( suc @ B_6 ) ) ) ) |
% 0.57/0.83 ( E @ ( f @ A_1 ) @ ( f @ ( suc @ ( suc @ A_1 ) ) ) ) |
% 0.57/0.83 ( E @ ( f @ B_6 ) @ ( f @ ( suc @ ( suc @ B_6 ) ) ) ) |
% 0.57/0.83 ( E @ ( f @ B_7 ) @ ( f @ ( suc @ ( suc @ B_7 ) ) ) ))).
% 0.57/0.83 thf(zip_derived_cl14, plain,
% 0.57/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.57/0.83 (~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 0.57/0.83 | ~ (iLEQ @ (suc @ X1) @ (suc @ X0))
% 0.57/0.83 | ~ (E @ 0 @ (f @ (suc @ X2)))
% 0.57/0.83 | ~ (E @ 0 @ (f @ (suc @ X1)))
% 0.57/0.83 | ~ (E @ (f @ X2) @ (f @ (suc @ X2)))
% 0.57/0.83 | ~ (E @ 0 @ (f @ (suc @ (suc @ X1))))
% 0.57/0.83 | ~ (E @ 0 @ (f @ X1))
% 0.57/0.83 | ~ (E @ 0 @ (f @ (suc @ (suc @ X2))))
% 0.57/0.83 | ~ (iLEQ @ (suc @ X0) @ (suc @ X2))
% 0.57/0.83 | ~ (E @ (f @ X1) @ (f @ (suc @ X1)))
% 0.57/0.83 | ~ (E @ 0 @ (f @ X0))
% 0.57/0.83 | ~ (E @ 0 @ (f @ X2))
% 0.57/0.83 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.57/0.83 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.57/0.83 | (E @ (f @ X1) @ (f @ (suc @ (suc @ X1))))
% 0.57/0.83 | (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 0.57/0.83 | (E @ (f @ X2) @ (f @ (suc @ (suc @ X2)))))),
% 0.57/0.83 inference('cnf', [status(esa)], [clause_309])).
% 0.57/0.83 thf(zip_derived_cl120, plain,
% 0.57/0.83 (![X0 : $i]:
% 0.57/0.83 ( (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 0.57/0.83 | (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 0.57/0.83 | (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 0.57/0.83 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.57/0.83 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.57/0.83 | ~ (E @ 0 @ (f @ X0))
% 0.57/0.83 | ~ (E @ 0 @ (f @ X0))
% 0.57/0.83 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.57/0.83 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 0.57/0.83 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 0.57/0.83 | ~ (E @ 0 @ (f @ X0))
% 0.57/0.83 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 0.57/0.83 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.57/0.83 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.57/0.83 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.57/0.83 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0)))))),
% 0.57/0.83 inference('eq_fact', [status(thm)], [zip_derived_cl14])).
% 0.57/0.83 thf(zip_derived_cl121, plain,
% 0.57/0.83 (![X0 : $i]:
% 0.57/0.83 (~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 0.57/0.83 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 0.57/0.83 | ~ (E @ 0 @ (f @ X0))
% 0.57/0.83 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.57/0.83 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.57/0.83 | (E @ (f @ X0) @ (f @ (suc @ (suc @ X0)))))),
% 0.57/0.83 inference('simplify', [status(thm)], [zip_derived_cl120])).
% 0.57/0.83 thf(zip_derived_cl52, plain,
% 0.57/0.83 (![X0 : $i]:
% 0.57/0.83 ( (iLEQ @ (suc @ X0) @ (suc @ X0))
% 0.57/0.83 | (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 0.57/0.83 | ~ (E @ 0 @ (f @ X0))
% 0.57/0.83 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.57/0.83 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0)))))),
% 0.57/0.83 inference('clc', [status(thm)], [zip_derived_cl25, zip_derived_cl33])).
% 0.57/0.83 thf(zip_derived_cl124, plain,
% 0.57/0.83 (![X0 : $i]:
% 0.57/0.83 ( (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 0.57/0.83 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.57/0.83 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.57/0.83 | ~ (E @ 0 @ (f @ X0))
% 0.57/0.83 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0)))))),
% 0.57/0.83 inference('clc', [status(thm)], [zip_derived_cl121, zip_derived_cl52])).
% 0.57/0.83 thf(zip_derived_cl107, plain,
% 0.57/0.83 (![X0 : $i]:
% 0.57/0.83 ( (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.57/0.83 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.57/0.83 | ~ (E @ 0 @ (f @ X0)))),
% 0.57/0.83 inference('clc', [status(thm)], [zip_derived_cl71, zip_derived_cl33])).
% 0.57/0.83 thf(zip_derived_cl125, plain,
% 0.57/0.83 (![X0 : $i]:
% 0.57/0.83 (~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 0.57/0.83 | ~ (E @ 0 @ (f @ X0))
% 0.57/0.83 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.57/0.83 | (E @ (f @ X0) @ (f @ (suc @ (suc @ X0)))))),
% 0.57/0.83 inference('clc', [status(thm)], [zip_derived_cl124, zip_derived_cl107])).
% 0.57/0.83 thf(zip_derived_cl132, plain,
% 0.57/0.83 (![X0 : $i]:
% 0.57/0.83 (~ (E @ 0 @ (f @ (suc @ X0)))
% 0.57/0.83 | ~ (E @ 0 @ (f @ X0))
% 0.57/0.83 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0)))))
% 0.57/0.83 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0)))))),
% 0.57/0.83 inference('clc', [status(thm)], [zip_derived_cl131, zip_derived_cl125])).
% 0.57/0.83 thf(zip_derived_cl134, plain,
% 0.57/0.83 ((~ (E @ 0 @ (f @ (suc @ (suc @ z))))
% 0.57/0.83 | ~ (E @ 0 @ (f @ z))
% 0.57/0.83 | ~ (E @ 0 @ (f @ (suc @ z))))),
% 0.57/0.83 inference('sup-', [status(thm)], [zip_derived_cl48, zip_derived_cl132])).
% 0.57/0.83 thf(clause_359, axiom,
% 0.57/0.83 (( ~( LE @ ( f @ ( suc @ ( suc @ B_5 ) ) ) @ ( s @ 0 ) ) ) |
% 0.57/0.83 ( E @ 0 @ ( f @ ( suc @ ( suc @ B_5 ) ) ) ) | ( LE @ ( f @ B_5 ) @ 0 ))).
% 0.57/0.83 thf(zip_derived_cl10, plain,
% 0.57/0.83 (![X0 : $i]:
% 0.57/0.83 (~ (LE @ (f @ (suc @ (suc @ X0))) @ (s @ 0))
% 0.57/0.83 | (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 0.57/0.83 | (LE @ (f @ X0) @ 0))),
% 0.57/0.83 inference('cnf', [status(esa)], [clause_359])).
% 0.57/0.83 thf(zip_derived_cl9, plain, (![X0 : $i]: (LE @ (f @ X0) @ (s @ 0))),
% 0.57/0.83 inference('cnf', [status(esa)], [clause_406])).
% 0.57/0.83 thf(zip_derived_cl44, plain,
% 0.57/0.83 (![X0 : $i]: ( (E @ 0 @ (f @ (suc @ (suc @ X0)))) | (LE @ (f @ X0) @ 0))),
% 0.57/0.83 inference('demod', [status(thm)], [zip_derived_cl10, zip_derived_cl9])).
% 0.57/0.83 thf(zip_derived_cl27, plain, (~ (LE @ (f @ z) @ 0)),
% 0.57/0.83 inference('cnf', [status(esa)], [clause_206])).
% 0.57/0.83 thf(zip_derived_cl45, plain, ( (E @ 0 @ (f @ (suc @ (suc @ z))))),
% 0.57/0.83 inference('sup-', [status(thm)], [zip_derived_cl44, zip_derived_cl27])).
% 0.57/0.83 thf(clause_278, axiom,
% 0.57/0.83 (( ~( LE @ ( f @ B_5 ) @ ( s @ 0 ) ) ) | ( E @ 0 @ ( f @ B_5 ) ) |
% 0.57/0.83 ( LE @ ( f @ B_5 ) @ 0 ))).
% 0.57/0.83 thf(zip_derived_cl6, plain,
% 0.57/0.83 (![X0 : $i]:
% 0.57/0.83 (~ (LE @ (f @ X0) @ (s @ 0))
% 0.57/0.83 | (E @ 0 @ (f @ X0))
% 0.57/0.83 | (LE @ (f @ X0) @ 0))),
% 0.57/0.83 inference('cnf', [status(esa)], [clause_278])).
% 0.57/0.83 thf(zip_derived_cl9, plain, (![X0 : $i]: (LE @ (f @ X0) @ (s @ 0))),
% 0.57/0.83 inference('cnf', [status(esa)], [clause_406])).
% 0.57/0.83 thf(zip_derived_cl36, plain,
% 0.57/0.83 (![X0 : $i]: ( (E @ 0 @ (f @ X0)) | (LE @ (f @ X0) @ 0))),
% 0.57/0.83 inference('demod', [status(thm)], [zip_derived_cl6, zip_derived_cl9])).
% 0.57/0.83 thf(zip_derived_cl27, plain, (~ (LE @ (f @ z) @ 0)),
% 0.57/0.83 inference('cnf', [status(esa)], [clause_206])).
% 0.57/0.83 thf(zip_derived_cl37, plain, ( (E @ 0 @ (f @ z))),
% 0.57/0.83 inference('sup-', [status(thm)], [zip_derived_cl36, zip_derived_cl27])).
% 0.57/0.83 thf(clause_313, axiom,
% 0.57/0.83 (( ~( LE @ ( f @ ( suc @ B_5 ) ) @ ( s @ 0 ) ) ) |
% 0.57/0.83 ( E @ 0 @ ( f @ ( suc @ B_5 ) ) ) | ( LE @ ( f @ B_5 ) @ 0 ))).
% 0.57/0.83 thf(zip_derived_cl18, plain,
% 0.57/0.83 (![X0 : $i]:
% 0.57/0.83 (~ (LE @ (f @ (suc @ X0)) @ (s @ 0))
% 0.57/0.83 | (E @ 0 @ (f @ (suc @ X0)))
% 0.57/0.83 | (LE @ (f @ X0) @ 0))),
% 0.57/0.83 inference('cnf', [status(esa)], [clause_313])).
% 0.57/0.83 thf(zip_derived_cl9, plain, (![X0 : $i]: (LE @ (f @ X0) @ (s @ 0))),
% 0.57/0.83 inference('cnf', [status(esa)], [clause_406])).
% 0.57/0.83 thf(zip_derived_cl41, plain,
% 0.57/0.83 (![X0 : $i]: ( (E @ 0 @ (f @ (suc @ X0))) | (LE @ (f @ X0) @ 0))),
% 0.57/0.83 inference('demod', [status(thm)], [zip_derived_cl18, zip_derived_cl9])).
% 0.57/0.83 thf(zip_derived_cl27, plain, (~ (LE @ (f @ z) @ 0)),
% 0.57/0.83 inference('cnf', [status(esa)], [clause_206])).
% 0.57/0.83 thf(zip_derived_cl42, plain, ( (E @ 0 @ (f @ (suc @ z)))),
% 0.57/0.83 inference('sup-', [status(thm)], [zip_derived_cl41, zip_derived_cl27])).
% 0.57/0.83 thf(zip_derived_cl135, plain, ($false),
% 0.57/0.83 inference('demod', [status(thm)],
% 0.57/0.83 [zip_derived_cl134, zip_derived_cl45, zip_derived_cl37,
% 0.57/0.83 zip_derived_cl42])).
% 0.57/0.83
% 0.57/0.83 % SZS output end Refutation
% 0.57/0.83
% 0.57/0.83
% 0.57/0.83 % Terminating...
% 1.69/0.94 % Runner terminated.
% 1.69/0.95 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------