%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYO666-1 : 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.smrHOmzIbA true
% Computer : n002.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 05:08:06 PM UTC 2025
% Result : Unsatisfiable 0.44s 0.81s
% Output : Refutation 0.44s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.11 % Problem : SYO666-1 : TPTP v9.2.0. Released v7.3.0.
% 0.02/0.12 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.smrHOmzIbA true
% 0.10/0.32 % Computer : n002.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Wed Oct 1 17:56:38 EDT 2025
% 0.10/0.32 % CPUTime :
% 0.10/0.32 % Running portfolio for 300 s
% 0.10/0.32 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.32 % Number of cores: 8
% 0.10/0.32 % Python version: Python 3.6.8
% 0.10/0.33 % Running in FO mode
% 0.43/0.56 % Total configuration time : 435
% 0.43/0.56 % Estimated wc time : 1092
% 0.43/0.56 % Estimated cpu time (7 cpus) : 156.0
% 0.43/0.63 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.44/0.66 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.44/0.66 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.44/0.66 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.44/0.66 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.44/0.66 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.44/0.66 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.44/0.81 % Solved by fo/fo4.sh.
% 0.44/0.81 % done 48 iterations in 0.117s
% 0.44/0.81 % SZS status Unsatisfiable for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.44/0.81 % SZS output start Refutation
% 0.44/0.81 thf(0_type, type, 0: $i).
% 0.44/0.81 thf(LE_type, type, LE: $i > $i > $o).
% 0.44/0.81 thf(suc_type, type, suc: $i > $i).
% 0.44/0.81 thf(f_type, type, f: $i > $i).
% 0.44/0.81 thf(iLEQ_type, type, iLEQ: $i > $i > $o).
% 0.44/0.81 thf(s_type, type, s: $i > $i).
% 0.44/0.81 thf(z_type, type, z: $i).
% 0.44/0.81 thf(E_type, type, E: $i > $i > $o).
% 0.44/0.81 thf(clause_98, axiom, (~( LE @ ( f @ z ) @ 0 ))).
% 0.44/0.81 thf(zip_derived_cl2, plain, (~ (LE @ (f @ z) @ 0)),
% 0.44/0.81 inference('cnf', [status(esa)], [clause_98])).
% 0.44/0.81 thf(clause_123, axiom,
% 0.44/0.81 (( ~( LE @ ( f @ ( suc @ B_93 ) ) @ ( s @ 0 ) ) ) |
% 0.44/0.81 ( E @ 0 @ ( f @ ( suc @ B_93 ) ) ) | ( LE @ ( f @ B_93 ) @ 0 ))).
% 0.44/0.81 thf(zip_derived_cl3, plain,
% 0.44/0.81 (![X0 : $i]:
% 0.44/0.81 (~ (LE @ (f @ (suc @ X0)) @ (s @ 0))
% 0.44/0.81 | (E @ 0 @ (f @ (suc @ X0)))
% 0.44/0.81 | (LE @ (f @ X0) @ 0))),
% 0.44/0.81 inference('cnf', [status(esa)], [clause_123])).
% 0.44/0.81 thf(clause_29, axiom,
% 0.44/0.81 (( ~( LE @ ( f @ ( suc @ B_68 ) ) @ ( s @ ( s @ 0 ) ) ) ) |
% 0.44/0.81 ( E @ ( s @ 0 ) @ ( f @ ( suc @ B_68 ) ) ) |
% 0.44/0.81 ( LE @ ( f @ B_68 ) @ ( s @ 0 ) ))).
% 0.44/0.81 thf(zip_derived_cl7, plain,
% 0.44/0.81 (![X0 : $i]:
% 0.44/0.81 (~ (LE @ (f @ (suc @ X0)) @ (s @ (s @ 0)))
% 0.44/0.81 | (E @ (s @ 0) @ (f @ (suc @ X0)))
% 0.44/0.81 | (LE @ (f @ X0) @ (s @ 0)))),
% 0.44/0.81 inference('cnf', [status(esa)], [clause_29])).
% 0.44/0.81 thf(clause_83, axiom, (LE @ ( f @ A ) @ ( s @ ( s @ 0 ) ))).
% 0.44/0.81 thf(zip_derived_cl5, plain, (![X0 : $i]: (LE @ (f @ X0) @ (s @ (s @ 0)))),
% 0.44/0.81 inference('cnf', [status(esa)], [clause_83])).
% 0.44/0.81 thf(zip_derived_cl15, plain,
% 0.44/0.81 (![X0 : $i]:
% 0.44/0.81 ( (E @ (s @ 0) @ (f @ (suc @ X0))) | (LE @ (f @ X0) @ (s @ 0)))),
% 0.44/0.81 inference('demod', [status(thm)], [zip_derived_cl7, zip_derived_cl5])).
% 0.44/0.81 thf(clause_179, axiom,
% 0.44/0.81 (( ~( E @ ( s @ 0 ) @ ( f @ B_69 ) ) ) |
% 0.44/0.81 ( ~( iLEQ @ ( suc @ B_71 ) @ ( suc @ B_72 ) ) ) |
% 0.44/0.81 ( ~( E @ ( s @ 0 ) @ ( f @ A_1 ) ) ) |
% 0.44/0.81 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ A_1 ) ) ) ) |
% 0.44/0.81 ( ~( iLEQ @ ( suc @ B_70 ) @ ( suc @ B_71 ) ) ) |
% 0.44/0.81 ( ~( E @ ( s @ 0 ) @ ( f @ B_71 ) ) ) |
% 0.44/0.81 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ B_71 ) ) ) ) |
% 0.44/0.81 ( ~( iLEQ @ ( suc @ B_69 ) @ ( suc @ B_70 ) ) ) |
% 0.44/0.81 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ B_69 ) ) ) ) |
% 0.44/0.81 ( ~( iLEQ @ ( suc @ B_72 ) @ ( suc @ B_73 ) ) ) |
% 0.44/0.81 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ B_70 ) ) ) ) |
% 0.44/0.81 ( ~( E @ ( s @ 0 ) @ ( f @ B_73 ) ) ) |
% 0.44/0.81 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ B_72 ) ) ) ) |
% 0.44/0.81 ( ~( iLEQ @ ( suc @ A_1 ) @ ( suc @ B_69 ) ) ) |
% 0.44/0.81 ( ~( E @ ( s @ 0 ) @ ( f @ B_70 ) ) ) |
% 0.44/0.81 ( ~( E @ ( s @ 0 ) @ ( f @ B_72 ) ) ) |
% 0.44/0.81 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ B_73 ) ) ) ))).
% 0.44/0.81 thf(zip_derived_cl9, plain,
% 0.44/0.81 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 0.44/0.81 (~ (E @ (s @ 0) @ (f @ X0))
% 0.44/0.81 | ~ (iLEQ @ (suc @ X1) @ (suc @ X2))
% 0.44/0.81 | ~ (E @ (s @ 0) @ (f @ X3))
% 0.44/0.81 | ~ (E @ (s @ 0) @ (f @ (suc @ X3)))
% 0.44/0.81 | ~ (iLEQ @ (suc @ X4) @ (suc @ X1))
% 0.44/0.81 | ~ (E @ (s @ 0) @ (f @ X1))
% 0.44/0.81 | ~ (E @ (s @ 0) @ (f @ (suc @ X1)))
% 0.44/0.81 | ~ (iLEQ @ (suc @ X0) @ (suc @ X4))
% 0.44/0.81 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 0.44/0.81 | ~ (iLEQ @ (suc @ X2) @ (suc @ X5))
% 0.44/0.81 | ~ (E @ (s @ 0) @ (f @ (suc @ X4)))
% 0.44/0.81 | ~ (E @ (s @ 0) @ (f @ X5))
% 0.44/0.81 | ~ (E @ (s @ 0) @ (f @ (suc @ X2)))
% 0.44/0.81 | ~ (iLEQ @ (suc @ X3) @ (suc @ X0))
% 0.44/0.81 | ~ (E @ (s @ 0) @ (f @ X4))
% 0.44/0.81 | ~ (E @ (s @ 0) @ (f @ X2))
% 0.44/0.81 | ~ (E @ (s @ 0) @ (f @ (suc @ X5))))),
% 0.44/0.81 inference('cnf', [status(esa)], [clause_179])).
% 0.44/0.81 thf(zip_derived_cl77, plain,
% 0.44/0.81 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.44/0.81 (~ (E @ (s @ 0) @ (f @ (suc @ X1)))
% 0.44/0.81 | ~ (E @ (s @ 0) @ (f @ X2))
% 0.44/0.81 | ~ (E @ (s @ 0) @ (f @ X3))
% 0.44/0.81 | ~ (iLEQ @ (suc @ X0) @ (suc @ X4))
% 0.44/0.81 | ~ (E @ (s @ 0) @ (f @ (suc @ X2)))
% 0.44/0.81 | ~ (E @ (s @ 0) @ (f @ X1))
% 0.44/0.81 | ~ (E @ (s @ 0) @ (f @ (suc @ X3)))
% 0.44/0.81 | ~ (iLEQ @ (suc @ X2) @ (suc @ X1))
% 0.44/0.81 | ~ (E @ (s @ 0) @ (f @ (suc @ X4)))
% 0.44/0.81 | ~ (iLEQ @ (suc @ X4) @ (suc @ X3))
% 0.44/0.81 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 0.44/0.81 | ~ (E @ (s @ 0) @ (f @ X0))
% 0.44/0.81 | ~ (iLEQ @ (suc @ X3) @ (suc @ X0))
% 0.44/0.81 | ~ (E @ (s @ 0) @ (f @ X0))
% 0.44/0.81 | ~ (iLEQ @ (suc @ X0) @ (suc @ X2))
% 0.44/0.81 | ~ (E @ (s @ 0) @ (f @ X4)))),
% 0.44/0.81 inference('eq_fact', [status(thm)], [zip_derived_cl9])).
% 0.44/0.81 thf(zip_derived_cl82, plain,
% 0.44/0.81 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.44/0.81 (~ (E @ (s @ 0) @ (f @ X4))
% 0.44/0.81 | ~ (iLEQ @ (suc @ X0) @ (suc @ X2))
% 0.44/0.81 | ~ (iLEQ @ (suc @ X3) @ (suc @ X0))
% 0.44/0.81 | ~ (E @ (s @ 0) @ (f @ X0))
% 0.44/0.81 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 0.44/0.81 | ~ (iLEQ @ (suc @ X4) @ (suc @ X3))
% 0.44/0.81 | ~ (E @ (s @ 0) @ (f @ (suc @ X4)))
% 0.44/0.81 | ~ (iLEQ @ (suc @ X2) @ (suc @ X1))
% 0.44/0.81 | ~ (E @ (s @ 0) @ (f @ (suc @ X3)))
% 0.44/0.81 | ~ (E @ (s @ 0) @ (f @ X1))
% 0.44/0.81 | ~ (E @ (s @ 0) @ (f @ (suc @ X2)))
% 0.44/0.81 | ~ (iLEQ @ (suc @ X0) @ (suc @ X4))
% 0.44/0.81 | ~ (E @ (s @ 0) @ (f @ X3))
% 0.44/0.81 | ~ (E @ (s @ 0) @ (f @ X2))
% 0.44/0.81 | ~ (E @ (s @ 0) @ (f @ (suc @ X1))))),
% 0.44/0.81 inference('simplify', [status(thm)], [zip_derived_cl77])).
% 0.44/0.81 thf(zip_derived_cl101, plain,
% 0.44/0.81 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.44/0.81 (~ (E @ (s @ 0) @ (f @ (suc @ X1)))
% 0.44/0.81 | ~ (E @ (s @ 0) @ (f @ X2))
% 0.44/0.81 | ~ (E @ (s @ 0) @ (f @ X3))
% 0.44/0.81 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 0.44/0.81 | ~ (E @ (s @ 0) @ (f @ (suc @ X2)))
% 0.44/0.81 | ~ (E @ (s @ 0) @ (f @ X1))
% 0.44/0.81 | ~ (E @ (s @ 0) @ (f @ (suc @ X3)))
% 0.44/0.81 | ~ (iLEQ @ (suc @ X2) @ (suc @ X1))
% 0.44/0.81 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 0.44/0.81 | ~ (iLEQ @ (suc @ X0) @ (suc @ X3))
% 0.44/0.81 | ~ (E @ (s @ 0) @ (f @ X0))
% 0.44/0.81 | ~ (iLEQ @ (suc @ X3) @ (suc @ X0))
% 0.44/0.81 | ~ (iLEQ @ (suc @ X0) @ (suc @ X2))
% 0.44/0.81 | ~ (E @ (s @ 0) @ (f @ X0)))),
% 0.44/0.81 inference('eq_fact', [status(thm)], [zip_derived_cl82])).
% 0.44/0.81 thf(zip_derived_cl105, plain,
% 0.44/0.81 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.44/0.81 (~ (iLEQ @ (suc @ X0) @ (suc @ X2))
% 0.44/0.81 | ~ (iLEQ @ (suc @ X3) @ (suc @ X0))
% 0.44/0.81 | ~ (E @ (s @ 0) @ (f @ X0))
% 0.44/0.81 | ~ (iLEQ @ (suc @ X0) @ (suc @ X3))
% 0.44/0.81 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 0.44/0.81 | ~ (iLEQ @ (suc @ X2) @ (suc @ X1))
% 0.44/0.81 | ~ (E @ (s @ 0) @ (f @ (suc @ X3)))
% 0.44/0.81 | ~ (E @ (s @ 0) @ (f @ X1))
% 0.44/0.81 | ~ (E @ (s @ 0) @ (f @ (suc @ X2)))
% 0.44/0.81 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 0.44/0.81 | ~ (E @ (s @ 0) @ (f @ X3))
% 0.44/0.81 | ~ (E @ (s @ 0) @ (f @ X2))
% 0.44/0.81 | ~ (E @ (s @ 0) @ (f @ (suc @ X1))))),
% 0.44/0.81 inference('simplify', [status(thm)], [zip_derived_cl101])).
% 0.44/0.81 thf(zip_derived_cl112, plain,
% 0.44/0.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.44/0.81 (~ (E @ (s @ 0) @ (f @ (suc @ X1)))
% 0.44/0.81 | ~ (E @ (s @ 0) @ (f @ X2))
% 0.44/0.81 | ~ (E @ (s @ 0) @ (f @ X0))
% 0.44/0.81 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 0.44/0.81 | ~ (E @ (s @ 0) @ (f @ (suc @ X2)))
% 0.44/0.81 | ~ (E @ (s @ 0) @ (f @ X1))
% 0.44/0.81 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 0.44/0.81 | ~ (iLEQ @ (suc @ X2) @ (suc @ X1))
% 0.44/0.81 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 0.44/0.81 | ~ (E @ (s @ 0) @ (f @ X0))
% 0.44/0.81 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 0.44/0.81 | ~ (iLEQ @ (suc @ X0) @ (suc @ X2)))),
% 0.44/0.81 inference('eq_fact', [status(thm)], [zip_derived_cl105])).
% 0.44/0.81 thf(zip_derived_cl115, plain,
% 0.44/0.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.44/0.81 (~ (iLEQ @ (suc @ X0) @ (suc @ X2))
% 0.44/0.81 | ~ (iLEQ @ (suc @ X2) @ (suc @ X1))
% 0.44/0.81 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 0.44/0.81 | ~ (E @ (s @ 0) @ (f @ X1))
% 0.44/0.81 | ~ (E @ (s @ 0) @ (f @ (suc @ X2)))
% 0.44/0.81 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 0.44/0.81 | ~ (E @ (s @ 0) @ (f @ X0))
% 0.44/0.81 | ~ (E @ (s @ 0) @ (f @ X2))
% 0.44/0.81 | ~ (E @ (s @ 0) @ (f @ (suc @ X1))))),
% 0.44/0.81 inference('simplify', [status(thm)], [zip_derived_cl112])).
% 0.44/0.81 thf(zip_derived_cl121, plain,
% 0.44/0.81 (![X0 : $i, X1 : $i]:
% 0.44/0.81 (~ (E @ (s @ 0) @ (f @ (suc @ X1)))
% 0.44/0.81 | ~ (E @ (s @ 0) @ (f @ X0))
% 0.44/0.81 | ~ (E @ (s @ 0) @ (f @ X0))
% 0.44/0.81 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 0.44/0.81 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 0.44/0.81 | ~ (E @ (s @ 0) @ (f @ X1))
% 0.44/0.81 | ~ (iLEQ @ (suc @ X0) @ (suc @ X1))
% 0.44/0.81 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 0.44/0.81 inference('eq_fact', [status(thm)], [zip_derived_cl115])).
% 0.44/0.81 thf(zip_derived_cl123, plain,
% 0.44/0.81 (![X0 : $i, X1 : $i]:
% 0.44/0.81 (~ (iLEQ @ (suc @ X0) @ (suc @ X1))
% 0.44/0.81 | ~ (E @ (s @ 0) @ (f @ X1))
% 0.44/0.81 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 0.44/0.81 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 0.44/0.81 | ~ (E @ (s @ 0) @ (f @ X0))
% 0.44/0.81 | ~ (E @ (s @ 0) @ (f @ (suc @ X1))))),
% 0.44/0.81 inference('simplify', [status(thm)], [zip_derived_cl121])).
% 0.44/0.81 thf(clause_70, axiom,
% 0.44/0.81 (( ~( E @ ( s @ 0 ) @ ( f @ A_1 ) ) ) |
% 0.44/0.81 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ A_1 ) ) ) ) |
% 0.44/0.81 ( iLEQ @ ( suc @ A_1 ) @ ( suc @ A_1 ) ))).
% 0.44/0.81 thf(zip_derived_cl6, plain,
% 0.44/0.81 (![X0 : $i]:
% 0.44/0.81 (~ (E @ (s @ 0) @ (f @ X0))
% 0.44/0.81 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 0.44/0.81 | (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 0.44/0.81 inference('cnf', [status(esa)], [clause_70])).
% 0.44/0.81 thf(zip_derived_cl125, plain,
% 0.44/0.81 (![X0 : $i, X1 : $i]:
% 0.44/0.81 (~ (E @ (s @ 0) @ (f @ (suc @ X1)))
% 0.44/0.81 | ~ (E @ (s @ 0) @ (f @ X0))
% 0.44/0.81 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 0.44/0.81 | ~ (E @ (s @ 0) @ (f @ X1))
% 0.44/0.81 | ~ (iLEQ @ (suc @ X0) @ (suc @ X1)))),
% 0.44/0.81 inference('clc', [status(thm)], [zip_derived_cl123, zip_derived_cl6])).
% 0.44/0.81 thf(zip_derived_cl129, plain,
% 0.44/0.81 (![X0 : $i]:
% 0.44/0.81 (~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 0.44/0.81 | ~ (E @ (s @ 0) @ (f @ X0))
% 0.44/0.81 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 0.44/0.81 | ~ (E @ (s @ 0) @ (f @ X0)))),
% 0.44/0.81 inference('eq_fact', [status(thm)], [zip_derived_cl125])).
% 0.44/0.81 thf(zip_derived_cl130, plain,
% 0.44/0.81 (![X0 : $i]:
% 0.44/0.81 (~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 0.44/0.81 | ~ (E @ (s @ 0) @ (f @ X0))
% 0.44/0.81 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 0.44/0.81 inference('simplify', [status(thm)], [zip_derived_cl129])).
% 0.44/0.81 thf(zip_derived_cl6, plain,
% 0.44/0.81 (![X0 : $i]:
% 0.44/0.81 (~ (E @ (s @ 0) @ (f @ X0))
% 0.44/0.81 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 0.44/0.81 | (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 0.44/0.81 inference('cnf', [status(esa)], [clause_70])).
% 0.44/0.81 thf(zip_derived_cl131, plain,
% 0.44/0.81 (![X0 : $i]:
% 0.44/0.81 (~ (E @ (s @ 0) @ (f @ X0)) | ~ (E @ (s @ 0) @ (f @ (suc @ X0))))),
% 0.44/0.81 inference('clc', [status(thm)], [zip_derived_cl130, zip_derived_cl6])).
% 0.44/0.81 thf(zip_derived_cl134, plain,
% 0.44/0.81 (![X0 : $i]: ( (LE @ (f @ X0) @ (s @ 0)) | ~ (E @ (s @ 0) @ (f @ X0)))),
% 0.44/0.81 inference('sup-', [status(thm)], [zip_derived_cl15, zip_derived_cl131])).
% 0.44/0.81 thf(clause_185, axiom,
% 0.44/0.81 (( ~( LE @ ( f @ B_68 ) @ ( s @ ( s @ 0 ) ) ) ) |
% 0.44/0.81 ( E @ ( s @ 0 ) @ ( f @ B_68 ) ) | ( LE @ ( f @ B_68 ) @ ( s @ 0 ) ))).
% 0.44/0.81 thf(zip_derived_cl8, plain,
% 0.44/0.81 (![X0 : $i]:
% 0.44/0.81 (~ (LE @ (f @ X0) @ (s @ (s @ 0)))
% 0.44/0.81 | (E @ (s @ 0) @ (f @ X0))
% 0.44/0.81 | (LE @ (f @ X0) @ (s @ 0)))),
% 0.44/0.81 inference('cnf', [status(esa)], [clause_185])).
% 0.44/0.81 thf(zip_derived_cl5, plain, (![X0 : $i]: (LE @ (f @ X0) @ (s @ (s @ 0)))),
% 0.44/0.81 inference('cnf', [status(esa)], [clause_83])).
% 0.44/0.81 thf(zip_derived_cl10, plain,
% 0.44/0.81 (![X0 : $i]: ( (E @ (s @ 0) @ (f @ X0)) | (LE @ (f @ X0) @ (s @ 0)))),
% 0.44/0.81 inference('demod', [status(thm)], [zip_derived_cl8, zip_derived_cl5])).
% 0.44/0.81 thf(zip_derived_cl135, plain, (![X0 : $i]: (LE @ (f @ X0) @ (s @ 0))),
% 0.44/0.81 inference('clc', [status(thm)], [zip_derived_cl134, zip_derived_cl10])).
% 0.44/0.81 thf(zip_derived_cl136, plain,
% 0.44/0.81 (![X0 : $i]: ( (E @ 0 @ (f @ (suc @ X0))) | (LE @ (f @ X0) @ 0))),
% 0.44/0.81 inference('demod', [status(thm)], [zip_derived_cl3, zip_derived_cl135])).
% 0.44/0.81 thf(clause_102, axiom,
% 0.44/0.81 (( ~( iLEQ @ ( suc @ B_96 ) @ ( suc @ B_97 ) ) ) |
% 0.44/0.81 ( ~( E @ 0 @ ( f @ ( suc @ A_2 ) ) ) ) |
% 0.44/0.81 ( ~( E @ 0 @ ( f @ ( suc @ B_96 ) ) ) ) |
% 0.44/0.81 ( ~( iLEQ @ ( suc @ B_97 ) @ ( suc @ B_98 ) ) ) |
% 0.44/0.81 ( ~( E @ 0 @ ( f @ ( suc @ B_97 ) ) ) ) | ( ~( E @ 0 @ ( f @ A_2 ) ) ) |
% 0.44/0.81 ( ~( E @ 0 @ ( f @ ( suc @ B_94 ) ) ) ) | ( ~( E @ 0 @ ( f @ B_97 ) ) ) |
% 0.44/0.81 ( ~( iLEQ @ ( suc @ B_95 ) @ ( suc @ B_96 ) ) ) |
% 0.44/0.81 ( ~( E @ 0 @ ( f @ B_96 ) ) ) |
% 0.44/0.81 ( ~( iLEQ @ ( suc @ B_94 ) @ ( suc @ B_95 ) ) ) |
% 0.44/0.81 ( ~( E @ 0 @ ( f @ ( suc @ B_98 ) ) ) ) | ( ~( E @ 0 @ ( f @ B_94 ) ) ) |
% 0.44/0.81 ( ~( iLEQ @ ( suc @ A_2 ) @ ( suc @ B_94 ) ) ) |
% 0.44/0.81 ( ~( E @ 0 @ ( f @ ( suc @ B_95 ) ) ) ) | ( ~( E @ 0 @ ( f @ B_98 ) ) ) |
% 0.44/0.81 ( ~( E @ 0 @ ( f @ B_95 ) ) ))).
% 0.44/0.81 thf(zip_derived_cl0, plain,
% 0.44/0.81 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 0.44/0.81 (~ (iLEQ @ (suc @ X0) @ (suc @ X1))
% 0.44/0.81 | ~ (E @ 0 @ (f @ (suc @ X2)))
% 0.44/0.81 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.44/0.81 | ~ (iLEQ @ (suc @ X1) @ (suc @ X3))
% 0.44/0.81 | ~ (E @ 0 @ (f @ (suc @ X1)))
% 0.44/0.81 | ~ (E @ 0 @ (f @ X2))
% 0.44/0.81 | ~ (E @ 0 @ (f @ (suc @ X4)))
% 0.44/0.81 | ~ (E @ 0 @ (f @ X1))
% 0.44/0.81 | ~ (iLEQ @ (suc @ X5) @ (suc @ X0))
% 0.44/0.81 | ~ (E @ 0 @ (f @ X0))
% 0.44/0.81 | ~ (iLEQ @ (suc @ X4) @ (suc @ X5))
% 0.44/0.81 | ~ (E @ 0 @ (f @ (suc @ X3)))
% 0.44/0.81 | ~ (E @ 0 @ (f @ X4))
% 0.44/0.81 | ~ (iLEQ @ (suc @ X2) @ (suc @ X4))
% 0.44/0.81 | ~ (E @ 0 @ (f @ (suc @ X5)))
% 0.44/0.81 | ~ (E @ 0 @ (f @ X3))
% 0.44/0.81 | ~ (E @ 0 @ (f @ X5)))),
% 0.44/0.81 inference('cnf', [status(esa)], [clause_102])).
% 0.44/0.81 thf(zip_derived_cl24, plain,
% 0.44/0.81 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.44/0.81 (~ (E @ 0 @ (f @ X1))
% 0.44/0.81 | ~ (E @ 0 @ (f @ X0))
% 0.44/0.81 | ~ (E @ 0 @ (f @ (suc @ X1)))
% 0.44/0.81 | ~ (iLEQ @ (suc @ X3) @ (suc @ X2))
% 0.44/0.81 | ~ (E @ 0 @ (f @ X2))
% 0.44/0.81 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.44/0.81 | ~ (iLEQ @ (suc @ X2) @ (suc @ X1))
% 0.44/0.81 | ~ (E @ 0 @ (f @ X0))
% 0.44/0.81 | ~ (iLEQ @ (suc @ X1) @ (suc @ X0))
% 0.44/0.81 | ~ (E @ 0 @ (f @ X0))
% 0.44/0.81 | ~ (E @ 0 @ (f @ (suc @ X2)))
% 0.44/0.81 | ~ (E @ 0 @ (f @ X3))
% 0.44/0.81 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.44/0.81 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 0.44/0.81 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.44/0.81 | ~ (E @ 0 @ (f @ (suc @ X3))))),
% 0.44/0.81 inference('eq_fact', [status(thm)], [zip_derived_cl0])).
% 0.44/0.81 thf(zip_derived_cl28, plain,
% 0.44/0.81 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.44/0.81 (~ (E @ 0 @ (f @ (suc @ X3)))
% 0.44/0.81 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 0.44/0.81 | ~ (E @ 0 @ (f @ X3))
% 0.44/0.81 | ~ (E @ 0 @ (f @ (suc @ X2)))
% 0.44/0.81 | ~ (iLEQ @ (suc @ X1) @ (suc @ X0))
% 0.44/0.81 | ~ (iLEQ @ (suc @ X2) @ (suc @ X1))
% 0.44/0.81 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.44/0.81 | ~ (E @ 0 @ (f @ X2))
% 0.44/0.81 | ~ (iLEQ @ (suc @ X3) @ (suc @ X2))
% 0.44/0.81 | ~ (E @ 0 @ (f @ (suc @ X1)))
% 0.44/0.81 | ~ (E @ 0 @ (f @ X0))
% 0.44/0.81 | ~ (E @ 0 @ (f @ X1)))),
% 0.44/0.81 inference('simplify', [status(thm)], [zip_derived_cl24])).
% 0.44/0.81 thf(zip_derived_cl55, plain,
% 0.44/0.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.44/0.81 (~ (E @ 0 @ (f @ X1))
% 0.44/0.81 | ~ (E @ 0 @ (f @ X2))
% 0.44/0.81 | ~ (E @ 0 @ (f @ (suc @ X1)))
% 0.44/0.81 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 0.44/0.81 | ~ (E @ 0 @ (f @ X0))
% 0.44/0.81 | ~ (E @ 0 @ (f @ (suc @ X2)))
% 0.44/0.81 | ~ (iLEQ @ (suc @ X0) @ (suc @ X1))
% 0.44/0.81 | ~ (iLEQ @ (suc @ X1) @ (suc @ X2))
% 0.44/0.81 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.44/0.81 | ~ (E @ 0 @ (f @ X0))
% 0.44/0.81 | ~ (iLEQ @ (suc @ X2) @ (suc @ X2)))),
% 0.44/0.81 inference('eq_fact', [status(thm)], [zip_derived_cl28])).
% 0.44/0.81 thf(zip_derived_cl58, plain,
% 0.44/0.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.44/0.81 (~ (iLEQ @ (suc @ X2) @ (suc @ X2))
% 0.44/0.81 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.44/0.81 | ~ (iLEQ @ (suc @ X1) @ (suc @ X2))
% 0.44/0.81 | ~ (iLEQ @ (suc @ X0) @ (suc @ X1))
% 0.44/0.81 | ~ (E @ 0 @ (f @ (suc @ X2)))
% 0.44/0.81 | ~ (E @ 0 @ (f @ X0))
% 0.44/0.81 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 0.44/0.81 | ~ (E @ 0 @ (f @ (suc @ X1)))
% 0.44/0.81 | ~ (E @ 0 @ (f @ X2))
% 0.44/0.81 | ~ (E @ 0 @ (f @ X1)))),
% 0.44/0.81 inference('simplify', [status(thm)], [zip_derived_cl55])).
% 0.44/0.81 thf(zip_derived_cl68, plain,
% 0.44/0.81 (![X0 : $i]:
% 0.44/0.81 (~ (E @ 0 @ (f @ X0))
% 0.44/0.81 | ~ (E @ 0 @ (f @ X0))
% 0.44/0.81 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.44/0.81 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 0.44/0.81 | ~ (E @ 0 @ (f @ X0))
% 0.44/0.81 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.44/0.81 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 0.44/0.81 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 0.44/0.81 | ~ (E @ 0 @ (f @ (suc @ X0))))),
% 0.44/0.81 inference('eq_fact', [status(thm)], [zip_derived_cl58])).
% 0.44/0.81 thf(zip_derived_cl71, plain,
% 0.44/0.81 (![X0 : $i]:
% 0.44/0.81 (~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 0.44/0.81 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.44/0.81 | ~ (E @ 0 @ (f @ X0)))),
% 0.44/0.81 inference('simplify', [status(thm)], [zip_derived_cl68])).
% 0.44/0.81 thf(clause_12, axiom,
% 0.44/0.81 (( ~( E @ 0 @ ( f @ A_2 ) ) ) | ( ~( E @ 0 @ ( f @ ( suc @ A_2 ) ) ) ) |
% 0.44/0.81 ( iLEQ @ ( suc @ A_2 ) @ ( suc @ A_2 ) ))).
% 0.44/0.81 thf(zip_derived_cl1, plain,
% 0.44/0.81 (![X0 : $i]:
% 0.44/0.81 (~ (E @ 0 @ (f @ X0))
% 0.44/0.81 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.44/0.81 | (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 0.44/0.81 inference('cnf', [status(esa)], [clause_12])).
% 0.44/0.81 thf(zip_derived_cl87, plain,
% 0.44/0.81 (![X0 : $i]: (~ (E @ 0 @ (f @ X0)) | ~ (E @ 0 @ (f @ (suc @ X0))))),
% 0.44/0.81 inference('clc', [status(thm)], [zip_derived_cl71, zip_derived_cl1])).
% 0.44/0.81 thf(zip_derived_cl139, plain,
% 0.44/0.81 (![X0 : $i]: ( (LE @ (f @ X0) @ 0) | ~ (E @ 0 @ (f @ X0)))),
% 0.44/0.81 inference('sup-', [status(thm)], [zip_derived_cl136, zip_derived_cl87])).
% 0.44/0.81 thf(clause_42, axiom,
% 0.44/0.81 (( ~( LE @ ( f @ B_93 ) @ ( s @ 0 ) ) ) | ( E @ 0 @ ( f @ B_93 ) ) |
% 0.44/0.81 ( LE @ ( f @ B_93 ) @ 0 ))).
% 0.44/0.81 thf(zip_derived_cl4, plain,
% 0.44/0.81 (![X0 : $i]:
% 0.44/0.81 (~ (LE @ (f @ X0) @ (s @ 0))
% 0.44/0.81 | (E @ 0 @ (f @ X0))
% 0.44/0.81 | (LE @ (f @ X0) @ 0))),
% 0.44/0.81 inference('cnf', [status(esa)], [clause_42])).
% 0.44/0.81 thf(zip_derived_cl135, plain, (![X0 : $i]: (LE @ (f @ X0) @ (s @ 0))),
% 0.44/0.81 inference('clc', [status(thm)], [zip_derived_cl134, zip_derived_cl10])).
% 0.44/0.81 thf(zip_derived_cl137, plain,
% 0.44/0.81 (![X0 : $i]: ( (E @ 0 @ (f @ X0)) | (LE @ (f @ X0) @ 0))),
% 0.44/0.81 inference('demod', [status(thm)], [zip_derived_cl4, zip_derived_cl135])).
% 0.44/0.81 thf(zip_derived_cl140, plain, (![X0 : $i]: (LE @ (f @ X0) @ 0)),
% 0.44/0.81 inference('clc', [status(thm)], [zip_derived_cl139, zip_derived_cl137])).
% 0.44/0.81 thf(zip_derived_cl141, plain, ($false),
% 0.44/0.81 inference('demod', [status(thm)], [zip_derived_cl2, zip_derived_cl140])).
% 0.44/0.81
% 0.44/0.81 % SZS output end Refutation
% 0.44/0.81
% 0.44/0.81
% 0.44/0.81 % Terminating...
% 1.71/0.90 % Runner terminated.
% 1.71/0.91 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------