%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYO651-1 : 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.MuHfEqMAx9 true
% Computer : n005.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 0.55s 0.99s
% Output : Refutation 0.55s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SYO651-1 : TPTP v9.2.0. Released v7.3.0.
% 0.11/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.MuHfEqMAx9 true
% 0.12/0.33 % Computer : n005.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Wed Oct 1 18:08:53 EDT 2025
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % Running portfolio for 300 s
% 0.12/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.34 % Number of cores: 8
% 0.12/0.34 % Python version: Python 3.6.8
% 0.12/0.34 % Running in FO mode
% 0.52/0.62 % Total configuration time : 435
% 0.52/0.62 % Estimated wc time : 1092
% 0.52/0.62 % Estimated cpu time (7 cpus) : 156.0
% 0.54/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.54/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.54/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.54/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.54/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.54/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.54/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.55/0.80 % /export/starexec/sandbox2/solver/bin/fo/fo1_lcnf.sh running for 50s
% 0.55/0.99 % Solved by fo/fo3_bce.sh.
% 0.55/0.99 % BCE start: 75
% 0.55/0.99 % BCE eliminated: 0
% 0.55/0.99 % PE start: 75
% 0.55/0.99 logic: neq
% 0.55/0.99 % PE eliminated: 0
% 0.55/0.99 % done 99 iterations in 0.251s
% 0.55/0.99 % SZS status Unsatisfiable for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.55/0.99 % SZS output start Refutation
% 0.55/0.99 thf(suc_type, type, suc: $i > $i).
% 0.55/0.99 thf(f_type, type, f: $i > $i).
% 0.55/0.99 thf(iLEQ_type, type, iLEQ: $i > $i > $o).
% 0.55/0.99 thf(0_type, type, 0: $i).
% 0.55/0.99 thf(E_type, type, E: $i > $i > $o).
% 0.55/0.99 thf(s_type, type, s: $i > $i).
% 0.55/0.99 thf(LE_type, type, LE: $i > $i > $o).
% 0.55/0.99 thf(z_type, type, z: $i).
% 0.55/0.99 thf(clause_619, axiom,
% 0.55/0.99 (( ~( LE @ ( f @ ( suc @ ( suc @ ( suc @ ( suc @ B_5 ) ) ) ) ) @ ( s @ 0 ) ) ) |
% 0.55/0.99 ( E @ 0 @ ( f @ ( suc @ ( suc @ ( suc @ ( suc @ B_5 ) ) ) ) ) ) |
% 0.55/0.99 ( LE @ ( f @ B_5 ) @ 0 ))).
% 0.55/0.99 thf(zip_derived_cl43, plain,
% 0.55/0.99 (![X0 : $i]:
% 0.55/0.99 (~ (LE @ (f @ (suc @ (suc @ (suc @ (suc @ X0))))) @ (s @ 0))
% 0.55/0.99 | (E @ 0 @ (f @ (suc @ (suc @ (suc @ (suc @ X0))))))
% 0.55/0.99 | (LE @ (f @ X0) @ 0))),
% 0.55/0.99 inference('cnf', [status(esa)], [clause_619])).
% 0.55/0.99 thf(clause_3530, axiom, (LE @ ( f @ A ) @ ( s @ 0 ))).
% 0.55/0.99 thf(zip_derived_cl13, plain, (![X0 : $i]: (LE @ (f @ X0) @ (s @ 0))),
% 0.55/0.99 inference('cnf', [status(esa)], [clause_3530])).
% 0.55/0.99 thf(zip_derived_cl91, plain,
% 0.55/0.99 (![X0 : $i]:
% 0.55/0.99 ( (E @ 0 @ (f @ (suc @ (suc @ (suc @ (suc @ X0))))))
% 0.55/0.99 | (LE @ (f @ X0) @ 0))),
% 0.55/0.99 inference('demod', [status(thm)], [zip_derived_cl43, zip_derived_cl13])).
% 0.55/0.99 thf(clause_1829, axiom, (~( LE @ ( f @ z ) @ 0 ))).
% 0.55/0.99 thf(zip_derived_cl38, plain, (~ (LE @ (f @ z) @ 0)),
% 0.55/0.99 inference('cnf', [status(esa)], [clause_1829])).
% 0.55/0.99 thf(zip_derived_cl92, plain,
% 0.55/0.99 ( (E @ 0 @ (f @ (suc @ (suc @ (suc @ (suc @ z))))))),
% 0.55/0.99 inference('sup-', [status(thm)], [zip_derived_cl91, zip_derived_cl38])).
% 0.55/0.99 thf(clause_1772, axiom,
% 0.55/0.99 (( ~( E @ 0 @ ( f @ ( suc @ ( suc @ ( suc @ A_1 ) ) ) ) ) ) |
% 0.55/0.99 ( ~( E @ 0 @ ( f @ ( suc @ A_1 ) ) ) ) |
% 0.55/0.99 ( ~( E @ ( f @ A_1 ) @ ( f @ ( suc @ ( suc @ ( suc @ A_1 ) ) ) ) ) ) |
% 0.55/0.99 ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ A_1 ) ) ) ) ) |
% 0.55/0.99 ( ~( E @ 0 @ ( f @ A_1 ) ) ) |
% 0.55/0.99 ( ~( E @ ( f @ A_1 ) @ ( f @ ( suc @ ( suc @ A_1 ) ) ) ) ) |
% 0.55/0.99 ( ~( E @ ( f @ A_1 ) @ ( f @ ( suc @ A_1 ) ) ) ) |
% 0.55/0.99 ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ ( suc @ ( suc @ A_1 ) ) ) ) ) ) ) |
% 0.55/0.99 ( iLEQ @ ( suc @ A_1 ) @ ( suc @ A_1 ) ))).
% 0.55/0.99 thf(zip_derived_cl2, plain,
% 0.55/0.99 (![X0 : $i]:
% 0.55/0.99 (~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0)))))
% 0.55/0.99 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.55/0.99 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 0.55/0.99 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 0.55/0.99 | ~ (E @ 0 @ (f @ X0))
% 0.55/0.99 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 0.55/0.99 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.55/0.99 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ (suc @ X0))))))
% 0.55/0.99 | (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 0.55/0.99 inference('cnf', [status(esa)], [clause_1772])).
% 0.55/0.99 thf(clause_3360, axiom,
% 0.55/0.99 (( ~( E @ 0 @ ( f @ ( suc @ ( suc @ ( suc @ A_1 ) ) ) ) ) ) |
% 0.55/0.99 ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ B_6 ) ) ) ) ) |
% 0.55/0.99 ( ~( iLEQ @ ( suc @ A_1 ) @ ( suc @ B_6 ) ) ) |
% 0.55/0.99 ( ~( E @ 0 @ ( f @ ( suc @ B_7 ) ) ) ) |
% 0.55/0.99 ( ~( E @ 0 @ ( f @ ( suc @ A_1 ) ) ) ) |
% 0.55/0.99 ( ~( E @ ( f @ B_7 ) @ ( f @ ( suc @ B_7 ) ) ) ) |
% 0.55/0.99 ( ~( E @ ( f @ A_1 ) @ ( f @ ( suc @ ( suc @ ( suc @ A_1 ) ) ) ) ) ) |
% 0.55/0.99 ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ A_1 ) ) ) ) ) |
% 0.55/0.99 ( ~( E @ 0 @ ( f @ A_1 ) ) ) |
% 0.55/0.99 ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ B_7 ) ) ) ) ) |
% 0.55/0.99 ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ ( suc @ B_6 ) ) ) ) ) ) |
% 0.55/0.99 ( ~( E @ ( f @ A_1 ) @ ( f @ ( suc @ ( suc @ A_1 ) ) ) ) ) |
% 0.55/0.99 ( ~( iLEQ @ ( suc @ B_6 ) @ ( suc @ B_7 ) ) ) |
% 0.55/0.99 ( ~( E @ ( f @ A_1 ) @ ( f @ ( suc @ A_1 ) ) ) ) |
% 0.55/0.99 ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ ( suc @ ( suc @ B_6 ) ) ) ) ) ) ) |
% 0.55/0.99 ( ~( E @ ( f @ B_6 ) @ ( f @ ( suc @ ( suc @ ( suc @ B_6 ) ) ) ) ) ) |
% 0.55/0.99 ( ~( E @ ( f @ B_7 ) @ ( f @ ( suc @ ( suc @ ( suc @ B_7 ) ) ) ) ) ) |
% 0.55/0.99 ( ~( E @ 0 @ ( f @ B_6 ) ) ) |
% 0.55/0.99 ( ~( E @ ( f @ B_7 ) @ ( f @ ( suc @ ( suc @ B_7 ) ) ) ) ) |
% 0.55/0.99 ( ~( E @ ( f @ B_6 ) @ ( f @ ( suc @ ( suc @ B_6 ) ) ) ) ) |
% 0.55/0.99 ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ ( suc @ B_7 ) ) ) ) ) ) |
% 0.55/0.99 ( ~( E @ 0 @ ( f @ B_7 ) ) ) |
% 0.55/0.99 ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ ( suc @ ( suc @ B_7 ) ) ) ) ) ) ) |
% 0.55/0.99 ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ ( suc @ ( suc @ A_1 ) ) ) ) ) ) ) |
% 0.55/0.99 ( ~( E @ ( f @ B_6 ) @ ( f @ ( suc @ B_6 ) ) ) ) |
% 0.55/0.99 ( ~( E @ 0 @ ( f @ ( suc @ B_6 ) ) ) ))).
% 0.55/0.99 thf(zip_derived_cl63, plain,
% 0.55/0.99 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.55/0.99 (~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0)))))
% 0.55/0.99 | ~ (E @ 0 @ (f @ (suc @ (suc @ X1))))
% 0.55/0.99 | ~ (iLEQ @ (suc @ X0) @ (suc @ X1))
% 0.55/0.99 | ~ (E @ 0 @ (f @ (suc @ X2)))
% 0.55/0.99 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.55/0.99 | ~ (E @ (f @ X2) @ (f @ (suc @ X2)))
% 0.55/0.99 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 0.55/0.99 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 0.55/0.99 | ~ (E @ 0 @ (f @ X0))
% 0.55/0.99 | ~ (E @ 0 @ (f @ (suc @ (suc @ X2))))
% 0.55/0.99 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X1)))))
% 0.55/0.99 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 0.55/0.99 | ~ (iLEQ @ (suc @ X1) @ (suc @ X2))
% 0.55/0.99 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.55/0.99 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ (suc @ X1))))))
% 0.55/0.99 | ~ (E @ (f @ X1) @ (f @ (suc @ (suc @ (suc @ X1)))))
% 0.55/0.99 | ~ (E @ (f @ X2) @ (f @ (suc @ (suc @ (suc @ X2)))))
% 0.55/0.99 | ~ (E @ 0 @ (f @ X1))
% 0.55/0.99 | ~ (E @ (f @ X2) @ (f @ (suc @ (suc @ X2))))
% 0.55/0.99 | ~ (E @ (f @ X1) @ (f @ (suc @ (suc @ X1))))
% 0.55/0.99 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X2)))))
% 0.55/0.99 | ~ (E @ 0 @ (f @ X2))
% 0.55/0.99 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ (suc @ X2))))))
% 0.55/0.99 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ (suc @ X0))))))
% 0.55/0.99 | ~ (E @ (f @ X1) @ (f @ (suc @ X1)))
% 0.55/0.99 | ~ (E @ 0 @ (f @ (suc @ X1))))),
% 0.55/0.99 inference('cnf', [status(esa)], [clause_3360])).
% 0.55/0.99 thf(zip_derived_cl196, plain,
% 0.55/0.99 (![X0 : $i]:
% 0.55/0.99 (~ (E @ 0 @ (f @ (suc @ X0)))
% 0.55/0.99 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.55/0.99 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ (suc @ X0))))))
% 0.55/0.99 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ (suc @ X0))))))
% 0.55/0.99 | ~ (E @ 0 @ (f @ X0))
% 0.55/0.99 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0)))))
% 0.55/0.99 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 0.55/0.99 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 0.55/0.99 | ~ (E @ 0 @ (f @ X0))
% 0.55/0.99 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 0.55/0.99 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 0.55/0.99 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ (suc @ X0))))))
% 0.55/0.99 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.55/0.99 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 0.55/0.99 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 0.55/0.99 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0)))))
% 0.55/0.99 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 0.55/0.99 | ~ (E @ 0 @ (f @ X0))
% 0.55/0.99 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 0.55/0.99 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 0.55/0.99 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.55/0.99 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.55/0.99 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.55/0.99 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 0.55/0.99 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0))))))),
% 0.55/0.99 inference('eq_fact', [status(thm)], [zip_derived_cl63])).
% 0.55/0.99 thf(zip_derived_cl197, plain,
% 0.55/0.99 (![X0 : $i]:
% 0.55/0.99 (~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 0.55/0.99 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 0.55/0.99 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 0.55/0.99 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 0.55/0.99 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0)))))
% 0.55/0.99 | ~ (E @ 0 @ (f @ X0))
% 0.55/0.99 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ (suc @ X0))))))
% 0.55/0.99 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.55/0.99 | ~ (E @ 0 @ (f @ (suc @ X0))))),
% 0.55/0.99 inference('simplify', [status(thm)], [zip_derived_cl196])).
% 0.55/0.99 thf(zip_derived_cl200, plain,
% 0.55/0.99 (![X0 : $i]:
% 0.55/0.99 (~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ (suc @ X0))))))
% 0.55/0.99 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.55/0.99 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 0.55/0.99 | ~ (E @ 0 @ (f @ X0))
% 0.55/0.99 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 0.55/0.99 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 0.55/0.99 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.55/0.99 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0)))))
% 0.55/0.99 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.55/0.99 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.55/0.99 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ (suc @ X0))))))
% 0.55/0.99 | ~ (E @ 0 @ (f @ X0))
% 0.55/0.99 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0)))))
% 0.55/0.99 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 0.55/0.99 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 0.55/0.99 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0)))))),
% 0.55/0.99 inference('sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl197])).
% 0.55/0.99 thf(zip_derived_cl201, plain,
% 0.55/0.99 (![X0 : $i]:
% 0.55/0.99 (~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0)))))
% 0.55/0.99 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.55/0.99 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 0.55/0.99 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 0.55/0.99 | ~ (E @ 0 @ (f @ X0))
% 0.55/0.99 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 0.55/0.99 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.55/0.99 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ (suc @ X0)))))))),
% 0.55/0.99 inference('simplify', [status(thm)], [zip_derived_cl200])).
% 0.55/0.99 thf(clause_3274, axiom,
% 0.55/0.99 (( ~( E @ 0 @ ( f @ ( suc @ ( suc @ ( suc @ A_1 ) ) ) ) ) ) |
% 0.55/0.99 ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ B_6 ) ) ) ) ) |
% 0.55/0.99 ( ~( iLEQ @ ( suc @ A_1 ) @ ( suc @ B_6 ) ) ) |
% 0.55/0.99 ( ~( E @ 0 @ ( f @ ( suc @ B_7 ) ) ) ) |
% 0.55/0.99 ( ~( E @ 0 @ ( f @ ( suc @ A_1 ) ) ) ) |
% 0.55/0.99 ( ~( E @ ( f @ B_7 ) @ ( f @ ( suc @ B_7 ) ) ) ) |
% 0.55/0.99 ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ A_1 ) ) ) ) ) |
% 0.55/0.99 ( ~( E @ 0 @ ( f @ A_1 ) ) ) |
% 0.55/0.99 ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ B_7 ) ) ) ) ) |
% 0.55/0.99 ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ ( suc @ B_6 ) ) ) ) ) ) |
% 0.55/0.99 ( ~( E @ ( f @ A_1 ) @ ( f @ ( suc @ ( suc @ A_1 ) ) ) ) ) |
% 0.55/0.99 ( ~( iLEQ @ ( suc @ B_6 ) @ ( suc @ B_7 ) ) ) |
% 0.55/0.99 ( ~( E @ ( f @ A_1 ) @ ( f @ ( suc @ A_1 ) ) ) ) |
% 0.55/0.99 ( ~( E @ 0 @ ( f @ B_6 ) ) ) |
% 0.55/0.99 ( ~( E @ ( f @ B_7 ) @ ( f @ ( suc @ ( suc @ B_7 ) ) ) ) ) |
% 0.55/0.99 ( ~( E @ ( f @ B_6 ) @ ( f @ ( suc @ ( suc @ B_6 ) ) ) ) ) |
% 0.55/0.99 ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ ( suc @ B_7 ) ) ) ) ) ) |
% 0.55/0.99 ( ~( E @ 0 @ ( f @ B_7 ) ) ) |
% 0.55/0.99 ( ~( E @ ( f @ B_6 ) @ ( f @ ( suc @ B_6 ) ) ) ) |
% 0.55/0.99 ( ~( E @ 0 @ ( f @ ( suc @ B_6 ) ) ) ) |
% 0.55/0.99 ( E @ ( f @ A_1 ) @ ( f @ ( suc @ ( suc @ ( suc @ A_1 ) ) ) ) ) |
% 0.55/0.99 ( E @ ( f @ B_6 ) @ ( f @ ( suc @ ( suc @ ( suc @ B_6 ) ) ) ) ) |
% 0.55/0.99 ( E @ ( f @ B_7 ) @ ( f @ ( suc @ ( suc @ ( suc @ B_7 ) ) ) ) ))).
% 0.55/0.99 thf(zip_derived_cl19, plain,
% 0.55/0.99 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.55/0.99 (~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0)))))
% 0.55/0.99 | ~ (E @ 0 @ (f @ (suc @ (suc @ X1))))
% 0.55/0.99 | ~ (iLEQ @ (suc @ X0) @ (suc @ X1))
% 0.55/0.99 | ~ (E @ 0 @ (f @ (suc @ X2)))
% 0.55/0.99 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.55/0.99 | ~ (E @ (f @ X2) @ (f @ (suc @ X2)))
% 0.55/0.99 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 0.55/0.99 | ~ (E @ 0 @ (f @ X0))
% 0.55/0.99 | ~ (E @ 0 @ (f @ (suc @ (suc @ X2))))
% 0.55/0.99 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X1)))))
% 0.55/0.99 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 0.55/0.99 | ~ (iLEQ @ (suc @ X1) @ (suc @ X2))
% 0.55/0.99 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.55/0.99 | ~ (E @ 0 @ (f @ X1))
% 0.55/0.99 | ~ (E @ (f @ X2) @ (f @ (suc @ (suc @ X2))))
% 0.55/0.99 | ~ (E @ (f @ X1) @ (f @ (suc @ (suc @ X1))))
% 0.55/0.99 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X2)))))
% 0.55/0.99 | ~ (E @ 0 @ (f @ X2))
% 0.55/0.99 | ~ (E @ (f @ X1) @ (f @ (suc @ X1)))
% 0.55/0.99 | ~ (E @ 0 @ (f @ (suc @ X1)))
% 0.55/0.99 | (E @ (f @ X0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 0.55/0.99 | (E @ (f @ X1) @ (f @ (suc @ (suc @ (suc @ X1)))))
% 0.55/0.99 | (E @ (f @ X2) @ (f @ (suc @ (suc @ (suc @ X2))))))),
% 0.55/0.99 inference('cnf', [status(esa)], [clause_3274])).
% 0.55/0.99 thf(zip_derived_cl188, plain,
% 0.55/0.99 (![X0 : $i]:
% 0.55/0.99 ( (E @ (f @ X0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 0.55/0.99 | (E @ (f @ X0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 0.55/0.99 | (E @ (f @ X0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 0.55/0.99 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.55/0.99 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.55/0.99 | ~ (E @ 0 @ (f @ X0))
% 0.55/0.99 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0)))))
% 0.55/0.99 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 0.55/0.99 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 0.55/0.99 | ~ (E @ 0 @ (f @ X0))
% 0.55/0.99 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.55/0.99 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 0.55/0.99 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 0.55/0.99 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0)))))
% 0.55/0.99 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 0.55/0.99 | ~ (E @ 0 @ (f @ X0))
% 0.55/0.99 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 0.55/0.99 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.55/0.99 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.55/0.99 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.55/0.99 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 0.55/0.99 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0))))))),
% 0.55/0.99 inference('eq_fact', [status(thm)], [zip_derived_cl19])).
% 0.55/0.99 thf(zip_derived_cl189, plain,
% 0.55/0.99 (![X0 : $i]:
% 0.55/0.99 (~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 0.55/0.99 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 0.55/0.99 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 0.55/0.99 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0)))))
% 0.55/0.99 | ~ (E @ 0 @ (f @ X0))
% 0.55/0.99 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.55/0.99 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.55/0.99 | (E @ (f @ X0) @ (f @ (suc @ (suc @ (suc @ X0))))))),
% 0.55/0.99 inference('simplify', [status(thm)], [zip_derived_cl188])).
% 0.55/0.99 thf(clause_3827, axiom,
% 0.55/0.99 (( ~( E @ 0 @ ( f @ ( suc @ ( suc @ ( suc @ A_1 ) ) ) ) ) ) |
% 0.55/0.99 ( ~( E @ 0 @ ( f @ ( suc @ A_1 ) ) ) ) |
% 0.55/0.99 ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ A_1 ) ) ) ) ) |
% 0.55/0.99 ( ~( E @ 0 @ ( f @ A_1 ) ) ) |
% 0.55/0.99 ( ~( E @ ( f @ A_1 ) @ ( f @ ( suc @ ( suc @ A_1 ) ) ) ) ) |
% 0.55/0.99 ( ~( E @ ( f @ A_1 ) @ ( f @ ( suc @ A_1 ) ) ) ) |
% 0.55/0.99 ( E @ ( f @ A_1 ) @ ( f @ ( suc @ ( suc @ ( suc @ A_1 ) ) ) ) ) |
% 0.55/0.99 ( iLEQ @ ( suc @ A_1 ) @ ( suc @ A_1 ) ))).
% 0.55/0.99 thf(zip_derived_cl45, plain,
% 0.55/0.99 (![X0 : $i]:
% 0.55/0.99 (~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0)))))
% 0.55/0.99 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.55/0.99 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 0.55/0.99 | ~ (E @ 0 @ (f @ X0))
% 0.55/0.99 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 0.55/0.99 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.55/0.99 | (E @ (f @ X0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 0.55/0.99 | (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 0.55/0.99 inference('cnf', [status(esa)], [clause_3827])).
% 0.55/0.99 thf(clause_2993, axiom,
% 0.55/0.99 (( ~( E @ 0 @ ( f @ ( suc @ ( suc @ A_1 ) ) ) ) ) |
% 0.55/0.99 ( ~( E @ 0 @ ( f @ ( suc @ A_1 ) ) ) ) |
% 0.55/0.99 ( ~( E @ ( f @ A_1 ) @ ( f @ ( suc @ A_1 ) ) ) ) |
% 0.55/0.99 ( ~( E @ 0 @ ( f @ A_1 ) ) ) |
% 0.55/0.99 ( E @ ( f @ A_1 ) @ ( f @ ( suc @ ( suc @ A_1 ) ) ) ) |
% 0.55/0.99 ( iLEQ @ ( suc @ A_1 ) @ ( suc @ A_1 ) ))).
% 0.55/0.99 thf(zip_derived_cl66, plain,
% 0.55/0.99 (![X0 : $i]:
% 0.55/0.99 (~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 0.55/0.99 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.55/0.99 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.55/0.99 | ~ (E @ 0 @ (f @ X0))
% 0.55/0.99 | (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 0.55/0.99 | (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 0.55/0.99 inference('cnf', [status(esa)], [clause_2993])).
% 0.55/0.99 thf(clause_636, axiom,
% 0.55/0.99 (( ~( E @ 0 @ ( f @ A_1 ) ) ) | ( ~( E @ 0 @ ( f @ ( suc @ A_1 ) ) ) ) |
% 0.55/0.99 ( E @ ( f @ A_1 ) @ ( f @ ( suc @ A_1 ) ) ) |
% 0.55/0.99 ( iLEQ @ ( suc @ A_1 ) @ ( suc @ A_1 ) ))).
% 0.55/0.99 thf(zip_derived_cl73, plain,
% 0.55/0.99 (![X0 : $i]:
% 0.55/0.99 (~ (E @ 0 @ (f @ X0))
% 0.55/0.99 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.55/0.99 | (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.55/0.99 | (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 0.55/0.99 inference('cnf', [status(esa)], [clause_636])).
% 0.55/0.99 thf(zip_derived_cl94, plain,
% 0.55/0.99 (![X0 : $i]:
% 0.55/0.99 ( (iLEQ @ (suc @ X0) @ (suc @ X0))
% 0.55/0.99 | (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 0.55/0.99 | ~ (E @ 0 @ (f @ X0))
% 0.55/0.99 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.55/0.99 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0)))))),
% 0.55/0.99 inference('clc', [status(thm)], [zip_derived_cl66, zip_derived_cl73])).
% 0.55/0.99 thf(zip_derived_cl103, plain,
% 0.55/0.99 (![X0 : $i]:
% 0.55/0.99 ( (iLEQ @ (suc @ X0) @ (suc @ X0))
% 0.55/0.99 | (E @ (f @ X0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 0.55/0.99 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.55/0.99 | ~ (E @ 0 @ (f @ X0))
% 0.55/0.99 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 0.55/0.99 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.55/0.99 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0))))))),
% 0.55/0.99 inference('clc', [status(thm)], [zip_derived_cl45, zip_derived_cl94])).
% 0.55/0.99 thf(zip_derived_cl73, plain,
% 0.55/0.99 (![X0 : $i]:
% 0.55/0.99 (~ (E @ 0 @ (f @ X0))
% 0.55/0.99 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.55/0.99 | (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.55/0.99 | (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 0.55/0.99 inference('cnf', [status(esa)], [clause_636])).
% 0.55/0.99 thf(zip_derived_cl104, plain,
% 0.55/0.99 (![X0 : $i]:
% 0.55/0.99 (~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0)))))
% 0.55/0.99 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.55/0.99 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 0.55/0.99 | ~ (E @ 0 @ (f @ X0))
% 0.55/0.99 | (E @ (f @ X0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 0.55/0.99 | (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 0.55/0.99 inference('clc', [status(thm)], [zip_derived_cl103, zip_derived_cl73])).
% 0.55/0.99 thf(zip_derived_cl192, plain,
% 0.55/0.99 (![X0 : $i]:
% 0.55/0.99 ( (E @ (f @ X0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 0.55/0.99 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.55/0.99 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.55/0.99 | ~ (E @ 0 @ (f @ X0))
% 0.55/0.99 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0)))))
% 0.55/0.99 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 0.55/0.99 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0)))))),
% 0.55/0.99 inference('clc', [status(thm)], [zip_derived_cl189, zip_derived_cl104])).
% 0.55/0.99 thf(clause_2887, axiom,
% 0.55/0.99 (( ~( iLEQ @ ( suc @ A_1 ) @ ( suc @ B_6 ) ) ) |
% 0.55/0.99 ( ~( E @ 0 @ ( f @ ( suc @ B_7 ) ) ) ) |
% 0.55/0.99 ( ~( E @ 0 @ ( f @ ( suc @ A_1 ) ) ) ) | ( ~( E @ 0 @ ( f @ A_1 ) ) ) |
% 0.55/0.99 ( ~( iLEQ @ ( suc @ B_6 ) @ ( suc @ B_7 ) ) ) |
% 0.55/0.99 ( ~( E @ 0 @ ( f @ B_6 ) ) ) | ( ~( E @ 0 @ ( f @ B_7 ) ) ) |
% 0.55/0.99 ( ~( E @ 0 @ ( f @ ( suc @ B_6 ) ) ) ) |
% 0.55/0.99 ( E @ ( f @ A_1 ) @ ( f @ ( suc @ A_1 ) ) ) |
% 0.55/0.99 ( E @ ( f @ B_6 ) @ ( f @ ( suc @ B_6 ) ) ) |
% 0.55/0.99 ( E @ ( f @ B_7 ) @ ( f @ ( suc @ B_7 ) ) ))).
% 0.55/0.99 thf(zip_derived_cl28, plain,
% 0.55/0.99 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.55/0.99 (~ (iLEQ @ (suc @ X0) @ (suc @ X1))
% 0.55/0.99 | ~ (E @ 0 @ (f @ (suc @ X2)))
% 0.55/0.99 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.55/0.99 | ~ (E @ 0 @ (f @ X0))
% 0.55/0.99 | ~ (iLEQ @ (suc @ X1) @ (suc @ X2))
% 0.55/0.99 | ~ (E @ 0 @ (f @ X1))
% 0.55/0.99 | ~ (E @ 0 @ (f @ X2))
% 0.55/0.99 | ~ (E @ 0 @ (f @ (suc @ X1)))
% 0.55/0.99 | (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.55/0.99 | (E @ (f @ X1) @ (f @ (suc @ X1)))
% 0.55/0.99 | (E @ (f @ X2) @ (f @ (suc @ X2))))),
% 0.55/0.99 inference('cnf', [status(esa)], [clause_2887])).
% 0.55/0.99 thf(zip_derived_cl117, plain,
% 0.55/0.99 (![X0 : $i]:
% 0.55/0.99 ( (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.55/0.99 | (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.55/0.99 | (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.55/0.99 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.55/0.99 | ~ (E @ 0 @ (f @ X0))
% 0.55/0.99 | ~ (E @ 0 @ (f @ X0))
% 0.55/0.99 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 0.55/0.99 | ~ (E @ 0 @ (f @ X0))
% 0.55/0.99 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.55/0.99 | ~ (E @ 0 @ (f @ (suc @ X0))))),
% 0.55/0.99 inference('eq_fact', [status(thm)], [zip_derived_cl28])).
% 0.55/0.99 thf(zip_derived_cl118, plain,
% 0.55/0.99 (![X0 : $i]:
% 0.55/0.99 (~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 0.55/0.99 | ~ (E @ 0 @ (f @ X0))
% 0.55/0.99 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.55/0.99 | (E @ (f @ X0) @ (f @ (suc @ X0))))),
% 0.55/0.99 inference('simplify', [status(thm)], [zip_derived_cl117])).
% 0.55/0.99 thf(zip_derived_cl73, plain,
% 0.55/0.99 (![X0 : $i]:
% 0.55/0.99 (~ (E @ 0 @ (f @ X0))
% 0.55/0.99 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.55/0.99 | (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.55/0.99 | (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 0.55/0.99 inference('cnf', [status(esa)], [clause_636])).
% 0.55/0.99 thf(zip_derived_cl143, plain,
% 0.55/0.99 (![X0 : $i]:
% 0.55/0.99 ( (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.55/0.99 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.55/0.99 | ~ (E @ 0 @ (f @ X0)))),
% 0.55/0.99 inference('clc', [status(thm)], [zip_derived_cl118, zip_derived_cl73])).
% 0.55/0.99 thf(zip_derived_cl193, plain,
% 0.55/0.99 (![X0 : $i]:
% 0.55/0.99 (~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 0.55/0.99 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 0.55/0.99 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0)))))
% 0.55/0.99 | ~ (E @ 0 @ (f @ X0))
% 0.55/0.99 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.55/0.99 | (E @ (f @ X0) @ (f @ (suc @ (suc @ (suc @ X0))))))),
% 0.55/0.99 inference('clc', [status(thm)], [zip_derived_cl192, zip_derived_cl143])).
% 0.55/0.99 thf(clause_2612, axiom,
% 0.55/0.99 (( ~( E @ 0 @ ( f @ ( suc @ ( suc @ B_6 ) ) ) ) ) |
% 0.55/0.99 ( ~( iLEQ @ ( suc @ A_1 ) @ ( suc @ B_6 ) ) ) |
% 0.55/0.99 ( ~( E @ 0 @ ( f @ ( suc @ B_7 ) ) ) ) |
% 0.55/0.99 ( ~( E @ 0 @ ( f @ ( suc @ A_1 ) ) ) ) |
% 0.55/0.99 ( ~( E @ ( f @ B_7 ) @ ( f @ ( suc @ B_7 ) ) ) ) |
% 0.55/0.99 ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ A_1 ) ) ) ) ) |
% 0.55/0.99 ( ~( E @ 0 @ ( f @ A_1 ) ) ) |
% 0.55/0.99 ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ B_7 ) ) ) ) ) |
% 0.55/0.99 ( ~( iLEQ @ ( suc @ B_6 ) @ ( suc @ B_7 ) ) ) |
% 0.55/0.99 ( ~( E @ ( f @ A_1 ) @ ( f @ ( suc @ A_1 ) ) ) ) |
% 0.55/0.99 ( ~( E @ 0 @ ( f @ B_6 ) ) ) | ( ~( E @ 0 @ ( f @ B_7 ) ) ) |
% 0.55/0.99 ( ~( E @ ( f @ B_6 ) @ ( f @ ( suc @ B_6 ) ) ) ) |
% 0.55/0.99 ( ~( E @ 0 @ ( f @ ( suc @ B_6 ) ) ) ) |
% 0.55/0.99 ( E @ ( f @ A_1 ) @ ( f @ ( suc @ ( suc @ A_1 ) ) ) ) |
% 0.55/0.99 ( E @ ( f @ B_6 ) @ ( f @ ( suc @ ( suc @ B_6 ) ) ) ) |
% 0.55/0.99 ( E @ ( f @ B_7 ) @ ( f @ ( suc @ ( suc @ B_7 ) ) ) ))).
% 0.55/0.99 thf(zip_derived_cl24, plain,
% 0.55/0.99 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.55/0.99 (~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 0.55/0.99 | ~ (iLEQ @ (suc @ X1) @ (suc @ X0))
% 0.55/0.99 | ~ (E @ 0 @ (f @ (suc @ X2)))
% 0.55/0.99 | ~ (E @ 0 @ (f @ (suc @ X1)))
% 0.55/0.99 | ~ (E @ (f @ X2) @ (f @ (suc @ X2)))
% 0.55/0.99 | ~ (E @ 0 @ (f @ (suc @ (suc @ X1))))
% 0.55/0.99 | ~ (E @ 0 @ (f @ X1))
% 0.55/0.99 | ~ (E @ 0 @ (f @ (suc @ (suc @ X2))))
% 0.55/0.99 | ~ (iLEQ @ (suc @ X0) @ (suc @ X2))
% 0.55/0.99 | ~ (E @ (f @ X1) @ (f @ (suc @ X1)))
% 0.55/0.99 | ~ (E @ 0 @ (f @ X0))
% 0.55/0.99 | ~ (E @ 0 @ (f @ X2))
% 0.55/0.99 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.55/0.99 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.55/0.99 | (E @ (f @ X1) @ (f @ (suc @ (suc @ X1))))
% 0.55/0.99 | (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 0.55/0.99 | (E @ (f @ X2) @ (f @ (suc @ (suc @ X2)))))),
% 0.55/0.99 inference('cnf', [status(esa)], [clause_2612])).
% 0.55/0.99 thf(zip_derived_cl179, plain,
% 0.55/0.99 (![X0 : $i]:
% 0.55/0.99 ( (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 0.55/0.99 | (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 0.55/0.99 | (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 0.55/0.99 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.55/0.99 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.55/0.99 | ~ (E @ 0 @ (f @ X0))
% 0.55/0.99 | ~ (E @ 0 @ (f @ X0))
% 0.55/0.99 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.55/0.99 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 0.55/0.99 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 0.55/0.99 | ~ (E @ 0 @ (f @ X0))
% 0.55/0.99 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 0.55/0.99 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.55/0.99 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.55/0.99 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.55/0.99 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0)))))),
% 0.55/0.99 inference('eq_fact', [status(thm)], [zip_derived_cl24])).
% 0.55/0.99 thf(zip_derived_cl180, plain,
% 0.55/0.99 (![X0 : $i]:
% 0.55/0.99 (~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 0.55/0.99 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 0.55/0.99 | ~ (E @ 0 @ (f @ X0))
% 0.55/0.99 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.55/0.99 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.55/0.99 | (E @ (f @ X0) @ (f @ (suc @ (suc @ X0)))))),
% 0.55/0.99 inference('simplify', [status(thm)], [zip_derived_cl179])).
% 0.55/0.99 thf(zip_derived_cl94, plain,
% 0.55/0.99 (![X0 : $i]:
% 0.55/0.99 ( (iLEQ @ (suc @ X0) @ (suc @ X0))
% 0.55/0.99 | (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 0.55/0.99 | ~ (E @ 0 @ (f @ X0))
% 0.55/0.99 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.55/0.99 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0)))))),
% 0.55/0.99 inference('clc', [status(thm)], [zip_derived_cl66, zip_derived_cl73])).
% 0.55/0.99 thf(zip_derived_cl184, plain,
% 0.55/0.99 (![X0 : $i]:
% 0.55/0.99 ( (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 0.55/0.99 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.55/0.99 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.55/0.99 | ~ (E @ 0 @ (f @ X0))
% 0.55/0.99 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0)))))),
% 0.55/0.99 inference('clc', [status(thm)], [zip_derived_cl180, zip_derived_cl94])).
% 0.55/0.99 thf(zip_derived_cl143, plain,
% 0.55/0.99 (![X0 : $i]:
% 0.55/0.99 ( (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.55/0.99 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.55/0.99 | ~ (E @ 0 @ (f @ X0)))),
% 0.55/0.99 inference('clc', [status(thm)], [zip_derived_cl118, zip_derived_cl73])).
% 0.55/0.99 thf(zip_derived_cl185, plain,
% 0.55/0.99 (![X0 : $i]:
% 0.55/0.99 (~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 0.55/0.99 | ~ (E @ 0 @ (f @ X0))
% 0.55/0.99 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.55/0.99 | (E @ (f @ X0) @ (f @ (suc @ (suc @ X0)))))),
% 0.55/0.99 inference('clc', [status(thm)], [zip_derived_cl184, zip_derived_cl143])).
% 0.55/0.99 thf(zip_derived_cl194, plain,
% 0.55/0.99 (![X0 : $i]:
% 0.55/0.99 ( (E @ (f @ X0) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 0.55/0.99 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.55/0.99 | ~ (E @ 0 @ (f @ X0))
% 0.55/0.99 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0)))))
% 0.55/0.99 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0)))))),
% 0.55/0.99 inference('clc', [status(thm)], [zip_derived_cl193, zip_derived_cl185])).
% 0.55/0.99 thf(zip_derived_cl203, plain,
% 0.55/0.99 (![X0 : $i]:
% 0.55/0.99 (~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ (suc @ X0))))))
% 0.55/0.99 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.55/0.99 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 0.55/0.99 | ~ (E @ 0 @ (f @ X0))
% 0.55/0.99 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 0.55/0.99 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.55/0.99 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0))))))),
% 0.55/0.99 inference('clc', [status(thm)], [zip_derived_cl201, zip_derived_cl194])).
% 0.55/0.99 thf(zip_derived_cl143, plain,
% 0.55/0.99 (![X0 : $i]:
% 0.55/0.99 ( (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.55/0.99 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.55/0.99 | ~ (E @ 0 @ (f @ X0)))),
% 0.55/0.99 inference('clc', [status(thm)], [zip_derived_cl118, zip_derived_cl73])).
% 0.55/0.99 thf(zip_derived_cl204, plain,
% 0.55/0.99 (![X0 : $i]:
% 0.55/0.99 (~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0)))))
% 0.55/0.99 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.55/0.99 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 0.55/0.99 | ~ (E @ 0 @ (f @ X0))
% 0.55/0.99 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 0.55/0.99 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ (suc @ X0)))))))),
% 0.55/0.99 inference('clc', [status(thm)], [zip_derived_cl203, zip_derived_cl143])).
% 0.55/0.99 thf(zip_derived_cl185, plain,
% 0.55/0.99 (![X0 : $i]:
% 0.55/0.99 (~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 0.55/0.99 | ~ (E @ 0 @ (f @ X0))
% 0.55/0.99 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.55/0.99 | (E @ (f @ X0) @ (f @ (suc @ (suc @ X0)))))),
% 0.55/0.99 inference('clc', [status(thm)], [zip_derived_cl184, zip_derived_cl143])).
% 0.55/0.99 thf(zip_derived_cl205, plain,
% 0.55/0.99 (![X0 : $i]:
% 0.55/0.99 (~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ (suc @ X0))))))
% 0.55/0.99 | ~ (E @ 0 @ (f @ X0))
% 0.55/0.99 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 0.55/0.99 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.55/0.99 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0))))))),
% 0.55/0.99 inference('clc', [status(thm)], [zip_derived_cl204, zip_derived_cl185])).
% 0.55/0.99 thf(zip_derived_cl207, plain,
% 0.55/0.99 ((~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ z)))))
% 0.55/0.99 | ~ (E @ 0 @ (f @ (suc @ z)))
% 0.55/0.99 | ~ (E @ 0 @ (f @ (suc @ (suc @ z))))
% 0.55/0.99 | ~ (E @ 0 @ (f @ z)))),
% 0.55/0.99 inference('sup-', [status(thm)], [zip_derived_cl92, zip_derived_cl205])).
% 0.55/0.99 thf(clause_3293, axiom,
% 0.55/0.99 (( ~( LE @ ( f @ ( suc @ ( suc @ ( suc @ B_5 ) ) ) ) @ ( s @ 0 ) ) ) |
% 0.55/0.99 ( E @ 0 @ ( f @ ( suc @ ( suc @ ( suc @ B_5 ) ) ) ) ) |
% 0.55/0.99 ( LE @ ( f @ B_5 ) @ 0 ))).
% 0.55/0.99 thf(zip_derived_cl60, plain,
% 0.55/0.99 (![X0 : $i]:
% 0.55/0.99 (~ (LE @ (f @ (suc @ (suc @ (suc @ X0)))) @ (s @ 0))
% 0.55/0.99 | (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0)))))
% 0.55/0.99 | (LE @ (f @ X0) @ 0))),
% 0.55/0.99 inference('cnf', [status(esa)], [clause_3293])).
% 0.55/0.99 thf(zip_derived_cl13, plain, (![X0 : $i]: (LE @ (f @ X0) @ (s @ 0))),
% 0.55/0.99 inference('cnf', [status(esa)], [clause_3530])).
% 0.55/0.99 thf(zip_derived_cl86, plain,
% 0.55/0.99 (![X0 : $i]:
% 0.55/0.99 ( (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0))))) | (LE @ (f @ X0) @ 0))),
% 0.55/0.99 inference('demod', [status(thm)], [zip_derived_cl60, zip_derived_cl13])).
% 0.55/0.99 thf(zip_derived_cl38, plain, (~ (LE @ (f @ z) @ 0)),
% 0.55/0.99 inference('cnf', [status(esa)], [clause_1829])).
% 0.55/0.99 thf(zip_derived_cl87, plain, ( (E @ 0 @ (f @ (suc @ (suc @ (suc @ z)))))),
% 0.55/0.99 inference('sup-', [status(thm)], [zip_derived_cl86, zip_derived_cl38])).
% 0.55/0.99 thf(clause_2650, axiom,
% 0.55/0.99 (( ~( LE @ ( f @ ( suc @ B_5 ) ) @ ( s @ 0 ) ) ) |
% 0.55/0.99 ( E @ 0 @ ( f @ ( suc @ B_5 ) ) ) | ( LE @ ( f @ B_5 ) @ 0 ))).
% 0.55/0.99 thf(zip_derived_cl10, plain,
% 0.55/0.99 (![X0 : $i]:
% 0.55/0.99 (~ (LE @ (f @ (suc @ X0)) @ (s @ 0))
% 0.55/0.99 | (E @ 0 @ (f @ (suc @ X0)))
% 0.55/0.99 | (LE @ (f @ X0) @ 0))),
% 0.55/0.99 inference('cnf', [status(esa)], [clause_2650])).
% 0.55/0.99 thf(zip_derived_cl13, plain, (![X0 : $i]: (LE @ (f @ X0) @ (s @ 0))),
% 0.55/0.99 inference('cnf', [status(esa)], [clause_3530])).
% 0.55/0.99 thf(zip_derived_cl80, plain,
% 0.55/0.99 (![X0 : $i]: ( (E @ 0 @ (f @ (suc @ X0))) | (LE @ (f @ X0) @ 0))),
% 0.55/0.99 inference('demod', [status(thm)], [zip_derived_cl10, zip_derived_cl13])).
% 0.55/0.99 thf(zip_derived_cl38, plain, (~ (LE @ (f @ z) @ 0)),
% 0.55/0.99 inference('cnf', [status(esa)], [clause_1829])).
% 0.55/0.99 thf(zip_derived_cl81, plain, ( (E @ 0 @ (f @ (suc @ z)))),
% 0.55/0.99 inference('sup-', [status(thm)], [zip_derived_cl80, zip_derived_cl38])).
% 0.55/0.99 thf(clause_3112, axiom,
% 0.55/0.99 (( ~( LE @ ( f @ ( suc @ ( suc @ B_5 ) ) ) @ ( s @ 0 ) ) ) |
% 0.55/0.99 ( E @ 0 @ ( f @ ( suc @ ( suc @ B_5 ) ) ) ) | ( LE @ ( f @ B_5 ) @ 0 ))).
% 0.55/0.99 thf(zip_derived_cl35, plain,
% 0.55/0.99 (![X0 : $i]:
% 0.55/0.99 (~ (LE @ (f @ (suc @ (suc @ X0))) @ (s @ 0))
% 0.55/0.99 | (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 0.55/0.99 | (LE @ (f @ X0) @ 0))),
% 0.55/0.99 inference('cnf', [status(esa)], [clause_3112])).
% 0.55/0.99 thf(zip_derived_cl13, plain, (![X0 : $i]: (LE @ (f @ X0) @ (s @ 0))),
% 0.55/0.99 inference('cnf', [status(esa)], [clause_3530])).
% 0.55/0.99 thf(zip_derived_cl83, plain,
% 0.55/0.99 (![X0 : $i]: ( (E @ 0 @ (f @ (suc @ (suc @ X0)))) | (LE @ (f @ X0) @ 0))),
% 0.55/0.99 inference('demod', [status(thm)], [zip_derived_cl35, zip_derived_cl13])).
% 0.55/0.99 thf(zip_derived_cl38, plain, (~ (LE @ (f @ z) @ 0)),
% 0.55/0.99 inference('cnf', [status(esa)], [clause_1829])).
% 0.55/0.99 thf(zip_derived_cl84, plain, ( (E @ 0 @ (f @ (suc @ (suc @ z))))),
% 0.55/0.99 inference('sup-', [status(thm)], [zip_derived_cl83, zip_derived_cl38])).
% 0.55/0.99 thf(clause_2386, axiom,
% 0.55/0.99 (( ~( LE @ ( f @ B_5 ) @ ( s @ 0 ) ) ) | ( E @ 0 @ ( f @ B_5 ) ) |
% 0.55/0.99 ( LE @ ( f @ B_5 ) @ 0 ))).
% 0.55/0.99 thf(zip_derived_cl56, plain,
% 0.55/0.99 (![X0 : $i]:
% 0.55/0.99 (~ (LE @ (f @ X0) @ (s @ 0))
% 0.55/0.99 | (E @ 0 @ (f @ X0))
% 0.55/0.99 | (LE @ (f @ X0) @ 0))),
% 0.55/0.99 inference('cnf', [status(esa)], [clause_2386])).
% 0.55/0.99 thf(zip_derived_cl13, plain, (![X0 : $i]: (LE @ (f @ X0) @ (s @ 0))),
% 0.55/0.99 inference('cnf', [status(esa)], [clause_3530])).
% 0.55/0.99 thf(zip_derived_cl75, plain,
% 0.55/0.99 (![X0 : $i]: ( (E @ 0 @ (f @ X0)) | (LE @ (f @ X0) @ 0))),
% 0.55/0.99 inference('demod', [status(thm)], [zip_derived_cl56, zip_derived_cl13])).
% 0.55/0.99 thf(zip_derived_cl38, plain, (~ (LE @ (f @ z) @ 0)),
% 0.55/0.99 inference('cnf', [status(esa)], [clause_1829])).
% 0.55/0.99 thf(zip_derived_cl76, plain, ( (E @ 0 @ (f @ z))),
% 0.55/0.99 inference('sup-', [status(thm)], [zip_derived_cl75, zip_derived_cl38])).
% 0.55/0.99 thf(zip_derived_cl208, plain, ($false),
% 0.55/0.99 inference('demod', [status(thm)],
% 0.55/0.99 [zip_derived_cl207, zip_derived_cl87, zip_derived_cl81,
% 0.55/0.99 zip_derived_cl84, zip_derived_cl76])).
% 0.55/0.99
% 0.55/0.99 % SZS output end Refutation
% 0.55/0.99
% 0.55/0.99
% 0.55/0.99 % Terminating...
% 0.56/1.04 % Runner terminated.
% 0.56/1.05 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------