TSTP Solution File: SYO666-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYO666-1 : TPTP v8.1.2. Released v7.3.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.8EHFrVIoSE true
% Computer : n004.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 05:52:29 EDT 2023
% Result : Unsatisfiable 1.36s 0.88s
% Output : Refutation 1.36s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYO666-1 : TPTP v8.1.2. Released v7.3.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.8EHFrVIoSE true
% 0.13/0.34 % Computer : n004.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 : Sat Aug 26 07:21:38 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.35 % Number of cores: 8
% 0.20/0.35 % Python version: Python 3.6.8
% 0.20/0.35 % Running in FO mode
% 0.20/0.66 % Total configuration time : 435
% 0.20/0.66 % Estimated wc time : 1092
% 0.20/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 1.07/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 1.07/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 1.07/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.07/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.36/0.88 % Solved by fo/fo1_av.sh.
% 1.36/0.88 % done 53 iterations in 0.107s
% 1.36/0.88 % SZS status Unsatisfiable for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.36/0.88 % SZS output start Refutation
% 1.36/0.88 thf(0_type, type, 0: $i).
% 1.36/0.88 thf(LE_type, type, LE: $i > $i > $o).
% 1.36/0.88 thf(suc_type, type, suc: $i > $i).
% 1.36/0.88 thf(f_type, type, f: $i > $i).
% 1.36/0.88 thf(iLEQ_type, type, iLEQ: $i > $i > $o).
% 1.36/0.88 thf(s_type, type, s: $i > $i).
% 1.36/0.88 thf(z_type, type, z: $i).
% 1.36/0.88 thf(E_type, type, E: $i > $i > $o).
% 1.36/0.88 thf(clause_179, axiom,
% 1.36/0.88 (( ~( E @ ( s @ 0 ) @ ( f @ B_69 ) ) ) |
% 1.36/0.88 ( ~( iLEQ @ ( suc @ B_71 ) @ ( suc @ B_72 ) ) ) |
% 1.36/0.88 ( ~( E @ ( s @ 0 ) @ ( f @ A_1 ) ) ) |
% 1.36/0.88 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ A_1 ) ) ) ) |
% 1.36/0.88 ( ~( iLEQ @ ( suc @ B_70 ) @ ( suc @ B_71 ) ) ) |
% 1.36/0.88 ( ~( E @ ( s @ 0 ) @ ( f @ B_71 ) ) ) |
% 1.36/0.88 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ B_71 ) ) ) ) |
% 1.36/0.88 ( ~( iLEQ @ ( suc @ B_69 ) @ ( suc @ B_70 ) ) ) |
% 1.36/0.88 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ B_69 ) ) ) ) |
% 1.36/0.88 ( ~( iLEQ @ ( suc @ B_72 ) @ ( suc @ B_73 ) ) ) |
% 1.36/0.88 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ B_70 ) ) ) ) |
% 1.36/0.88 ( ~( E @ ( s @ 0 ) @ ( f @ B_73 ) ) ) |
% 1.36/0.88 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ B_72 ) ) ) ) |
% 1.36/0.88 ( ~( iLEQ @ ( suc @ A_1 ) @ ( suc @ B_69 ) ) ) |
% 1.36/0.88 ( ~( E @ ( s @ 0 ) @ ( f @ B_70 ) ) ) |
% 1.36/0.88 ( ~( E @ ( s @ 0 ) @ ( f @ B_72 ) ) ) |
% 1.36/0.88 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ B_73 ) ) ) ))).
% 1.36/0.88 thf(zip_derived_cl9, plain,
% 1.36/0.88 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.36/0.88 (~ (E @ (s @ 0) @ (f @ X0))
% 1.36/0.88 | ~ (iLEQ @ (suc @ X1) @ (suc @ X2))
% 1.36/0.88 | ~ (E @ (s @ 0) @ (f @ X3))
% 1.36/0.88 | ~ (E @ (s @ 0) @ (f @ (suc @ X3)))
% 1.36/0.88 | ~ (iLEQ @ (suc @ X4) @ (suc @ X1))
% 1.36/0.88 | ~ (E @ (s @ 0) @ (f @ X1))
% 1.36/0.88 | ~ (E @ (s @ 0) @ (f @ (suc @ X1)))
% 1.36/0.88 | ~ (iLEQ @ (suc @ X0) @ (suc @ X4))
% 1.36/0.88 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 1.36/0.88 | ~ (iLEQ @ (suc @ X2) @ (suc @ X5))
% 1.36/0.88 | ~ (E @ (s @ 0) @ (f @ (suc @ X4)))
% 1.36/0.88 | ~ (E @ (s @ 0) @ (f @ X5))
% 1.36/0.88 | ~ (E @ (s @ 0) @ (f @ (suc @ X2)))
% 1.36/0.88 | ~ (iLEQ @ (suc @ X3) @ (suc @ X0))
% 1.36/0.88 | ~ (E @ (s @ 0) @ (f @ X4))
% 1.36/0.88 | ~ (E @ (s @ 0) @ (f @ X2))
% 1.36/0.88 | ~ (E @ (s @ 0) @ (f @ (suc @ X5))))),
% 1.36/0.88 inference('cnf', [status(esa)], [clause_179])).
% 1.36/0.88 thf(zip_derived_cl42, plain,
% 1.36/0.88 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.36/0.88 (~ (E @ (s @ 0) @ (f @ (suc @ X1)))
% 1.36/0.88 | ~ (E @ (s @ 0) @ (f @ X2))
% 1.36/0.88 | ~ (E @ (s @ 0) @ (f @ X3))
% 1.36/0.88 | ~ (iLEQ @ (suc @ X0) @ (suc @ X4))
% 1.36/0.88 | ~ (E @ (s @ 0) @ (f @ (suc @ X2)))
% 1.36/0.88 | ~ (E @ (s @ 0) @ (f @ X1))
% 1.36/0.88 | ~ (E @ (s @ 0) @ (f @ (suc @ X3)))
% 1.36/0.88 | ~ (iLEQ @ (suc @ X2) @ (suc @ X1))
% 1.36/0.88 | ~ (E @ (s @ 0) @ (f @ (suc @ X4)))
% 1.36/0.88 | ~ (iLEQ @ (suc @ X4) @ (suc @ X3))
% 1.36/0.88 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 1.36/0.88 | ~ (E @ (s @ 0) @ (f @ X0))
% 1.36/0.88 | ~ (iLEQ @ (suc @ X3) @ (suc @ X0))
% 1.36/0.88 | ~ (E @ (s @ 0) @ (f @ X0))
% 1.36/0.88 | ~ (iLEQ @ (suc @ X0) @ (suc @ X2))
% 1.36/0.88 | ~ (E @ (s @ 0) @ (f @ X4)))),
% 1.36/0.88 inference('eq_fact', [status(thm)], [zip_derived_cl9])).
% 1.36/0.88 thf(zip_derived_cl47, plain,
% 1.36/0.88 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.36/0.88 (~ (E @ (s @ 0) @ (f @ X4))
% 1.36/0.88 | ~ (iLEQ @ (suc @ X0) @ (suc @ X2))
% 1.36/0.88 | ~ (iLEQ @ (suc @ X3) @ (suc @ X0))
% 1.36/0.88 | ~ (E @ (s @ 0) @ (f @ X0))
% 1.36/0.88 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 1.36/0.88 | ~ (iLEQ @ (suc @ X4) @ (suc @ X3))
% 1.36/0.88 | ~ (E @ (s @ 0) @ (f @ (suc @ X4)))
% 1.36/0.88 | ~ (iLEQ @ (suc @ X2) @ (suc @ X1))
% 1.36/0.88 | ~ (E @ (s @ 0) @ (f @ (suc @ X3)))
% 1.36/0.88 | ~ (E @ (s @ 0) @ (f @ X1))
% 1.36/0.88 | ~ (E @ (s @ 0) @ (f @ (suc @ X2)))
% 1.36/0.88 | ~ (iLEQ @ (suc @ X0) @ (suc @ X4))
% 1.36/0.88 | ~ (E @ (s @ 0) @ (f @ X3))
% 1.36/0.88 | ~ (E @ (s @ 0) @ (f @ X2))
% 1.36/0.88 | ~ (E @ (s @ 0) @ (f @ (suc @ X1))))),
% 1.36/0.88 inference('simplify', [status(thm)], [zip_derived_cl42])).
% 1.36/0.88 thf(zip_derived_cl83, plain,
% 1.36/0.88 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.36/0.88 (~ (E @ (s @ 0) @ (f @ (suc @ X1)))
% 1.36/0.88 | ~ (E @ (s @ 0) @ (f @ X2))
% 1.36/0.88 | ~ (E @ (s @ 0) @ (f @ X3))
% 1.36/0.88 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 1.36/0.88 | ~ (E @ (s @ 0) @ (f @ (suc @ X2)))
% 1.36/0.88 | ~ (E @ (s @ 0) @ (f @ X1))
% 1.36/0.88 | ~ (E @ (s @ 0) @ (f @ (suc @ X3)))
% 1.36/0.88 | ~ (iLEQ @ (suc @ X2) @ (suc @ X1))
% 1.36/0.88 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 1.36/0.88 | ~ (iLEQ @ (suc @ X0) @ (suc @ X3))
% 1.36/0.88 | ~ (E @ (s @ 0) @ (f @ X0))
% 1.36/0.88 | ~ (iLEQ @ (suc @ X3) @ (suc @ X0))
% 1.36/0.88 | ~ (iLEQ @ (suc @ X0) @ (suc @ X2))
% 1.36/0.88 | ~ (E @ (s @ 0) @ (f @ X0)))),
% 1.36/0.88 inference('eq_fact', [status(thm)], [zip_derived_cl47])).
% 1.36/0.88 thf(zip_derived_cl87, plain,
% 1.36/0.88 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.36/0.88 (~ (iLEQ @ (suc @ X0) @ (suc @ X2))
% 1.36/0.88 | ~ (iLEQ @ (suc @ X3) @ (suc @ X0))
% 1.36/0.88 | ~ (E @ (s @ 0) @ (f @ X0))
% 1.36/0.88 | ~ (iLEQ @ (suc @ X0) @ (suc @ X3))
% 1.36/0.88 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 1.36/0.88 | ~ (iLEQ @ (suc @ X2) @ (suc @ X1))
% 1.36/0.88 | ~ (E @ (s @ 0) @ (f @ (suc @ X3)))
% 1.36/0.88 | ~ (E @ (s @ 0) @ (f @ X1))
% 1.36/0.88 | ~ (E @ (s @ 0) @ (f @ (suc @ X2)))
% 1.36/0.88 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 1.36/0.88 | ~ (E @ (s @ 0) @ (f @ X3))
% 1.36/0.88 | ~ (E @ (s @ 0) @ (f @ X2))
% 1.36/0.88 | ~ (E @ (s @ 0) @ (f @ (suc @ X1))))),
% 1.36/0.88 inference('simplify', [status(thm)], [zip_derived_cl83])).
% 1.36/0.88 thf(zip_derived_cl94, plain,
% 1.36/0.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.36/0.88 (~ (E @ (s @ 0) @ (f @ (suc @ X1)))
% 1.36/0.88 | ~ (E @ (s @ 0) @ (f @ X2))
% 1.36/0.88 | ~ (E @ (s @ 0) @ (f @ X0))
% 1.36/0.88 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 1.36/0.88 | ~ (E @ (s @ 0) @ (f @ (suc @ X2)))
% 1.36/0.88 | ~ (E @ (s @ 0) @ (f @ X1))
% 1.36/0.88 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 1.36/0.88 | ~ (iLEQ @ (suc @ X2) @ (suc @ X1))
% 1.36/0.88 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 1.36/0.88 | ~ (E @ (s @ 0) @ (f @ X0))
% 1.36/0.88 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 1.36/0.88 | ~ (iLEQ @ (suc @ X0) @ (suc @ X2)))),
% 1.36/0.88 inference('eq_fact', [status(thm)], [zip_derived_cl87])).
% 1.36/0.88 thf(zip_derived_cl97, plain,
% 1.36/0.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.36/0.88 (~ (iLEQ @ (suc @ X0) @ (suc @ X2))
% 1.36/0.88 | ~ (iLEQ @ (suc @ X2) @ (suc @ X1))
% 1.36/0.88 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 1.36/0.88 | ~ (E @ (s @ 0) @ (f @ X1))
% 1.36/0.88 | ~ (E @ (s @ 0) @ (f @ (suc @ X2)))
% 1.36/0.88 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 1.36/0.88 | ~ (E @ (s @ 0) @ (f @ X0))
% 1.36/0.88 | ~ (E @ (s @ 0) @ (f @ X2))
% 1.36/0.88 | ~ (E @ (s @ 0) @ (f @ (suc @ X1))))),
% 1.36/0.88 inference('simplify', [status(thm)], [zip_derived_cl94])).
% 1.36/0.88 thf(zip_derived_cl103, plain,
% 1.36/0.88 (![X0 : $i, X1 : $i]:
% 1.36/0.88 (~ (E @ (s @ 0) @ (f @ (suc @ X1)))
% 1.36/0.88 | ~ (E @ (s @ 0) @ (f @ X0))
% 1.36/0.88 | ~ (E @ (s @ 0) @ (f @ X0))
% 1.36/0.88 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 1.36/0.88 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 1.36/0.88 | ~ (E @ (s @ 0) @ (f @ X1))
% 1.36/0.88 | ~ (iLEQ @ (suc @ X0) @ (suc @ X1))
% 1.36/0.88 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 1.36/0.88 inference('eq_fact', [status(thm)], [zip_derived_cl97])).
% 1.36/0.88 thf(zip_derived_cl105, plain,
% 1.36/0.88 (![X0 : $i, X1 : $i]:
% 1.36/0.88 (~ (iLEQ @ (suc @ X0) @ (suc @ X1))
% 1.36/0.88 | ~ (E @ (s @ 0) @ (f @ X1))
% 1.36/0.88 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 1.36/0.88 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 1.36/0.88 | ~ (E @ (s @ 0) @ (f @ X0))
% 1.36/0.88 | ~ (E @ (s @ 0) @ (f @ (suc @ X1))))),
% 1.36/0.88 inference('simplify', [status(thm)], [zip_derived_cl103])).
% 1.36/0.88 thf(clause_70, axiom,
% 1.36/0.88 (( ~( E @ ( s @ 0 ) @ ( f @ A_1 ) ) ) |
% 1.36/0.88 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ A_1 ) ) ) ) |
% 1.36/0.88 ( iLEQ @ ( suc @ A_1 ) @ ( suc @ A_1 ) ))).
% 1.36/0.88 thf(zip_derived_cl6, plain,
% 1.36/0.88 (![X0 : $i]:
% 1.36/0.88 (~ (E @ (s @ 0) @ (f @ X0))
% 1.36/0.88 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 1.36/0.88 | (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 1.36/0.88 inference('cnf', [status(esa)], [clause_70])).
% 1.36/0.88 thf(zip_derived_cl107, plain,
% 1.36/0.88 (![X0 : $i, X1 : $i]:
% 1.36/0.88 (~ (E @ (s @ 0) @ (f @ (suc @ X1)))
% 1.36/0.88 | ~ (E @ (s @ 0) @ (f @ X0))
% 1.36/0.88 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 1.36/0.88 | ~ (E @ (s @ 0) @ (f @ X1))
% 1.36/0.88 | ~ (iLEQ @ (suc @ X0) @ (suc @ X1)))),
% 1.36/0.88 inference('clc', [status(thm)], [zip_derived_cl105, zip_derived_cl6])).
% 1.36/0.88 thf(zip_derived_cl111, plain,
% 1.36/0.88 (![X0 : $i]:
% 1.36/0.88 (~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 1.36/0.88 | ~ (E @ (s @ 0) @ (f @ X0))
% 1.36/0.88 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 1.36/0.88 | ~ (E @ (s @ 0) @ (f @ X0)))),
% 1.36/0.88 inference('eq_fact', [status(thm)], [zip_derived_cl107])).
% 1.36/0.88 thf(zip_derived_cl112, plain,
% 1.36/0.88 (![X0 : $i]:
% 1.36/0.88 (~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 1.36/0.88 | ~ (E @ (s @ 0) @ (f @ X0))
% 1.36/0.88 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 1.36/0.88 inference('simplify', [status(thm)], [zip_derived_cl111])).
% 1.36/0.88 thf(zip_derived_cl6, plain,
% 1.36/0.88 (![X0 : $i]:
% 1.36/0.88 (~ (E @ (s @ 0) @ (f @ X0))
% 1.36/0.88 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 1.36/0.88 | (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 1.36/0.88 inference('cnf', [status(esa)], [clause_70])).
% 1.36/0.88 thf(zip_derived_cl113, plain,
% 1.36/0.88 (![X0 : $i]:
% 1.36/0.88 (~ (E @ (s @ 0) @ (f @ X0)) | ~ (E @ (s @ 0) @ (f @ (suc @ X0))))),
% 1.36/0.88 inference('clc', [status(thm)], [zip_derived_cl112, zip_derived_cl6])).
% 1.36/0.88 thf(clause_29, axiom,
% 1.36/0.88 (( ~( LE @ ( f @ ( suc @ B_68 ) ) @ ( s @ ( s @ 0 ) ) ) ) |
% 1.36/0.88 ( E @ ( s @ 0 ) @ ( f @ ( suc @ B_68 ) ) ) |
% 1.36/0.88 ( LE @ ( f @ B_68 ) @ ( s @ 0 ) ))).
% 1.36/0.88 thf(zip_derived_cl7, plain,
% 1.36/0.88 (![X0 : $i]:
% 1.36/0.88 (~ (LE @ (f @ (suc @ X0)) @ (s @ (s @ 0)))
% 1.36/0.88 | (E @ (s @ 0) @ (f @ (suc @ X0)))
% 1.36/0.88 | (LE @ (f @ X0) @ (s @ 0)))),
% 1.36/0.88 inference('cnf', [status(esa)], [clause_29])).
% 1.36/0.88 thf(clause_83, axiom, (LE @ ( f @ A ) @ ( s @ ( s @ 0 ) ))).
% 1.36/0.88 thf(zip_derived_cl5, plain, (![X0 : $i]: (LE @ (f @ X0) @ (s @ (s @ 0)))),
% 1.36/0.88 inference('cnf', [status(esa)], [clause_83])).
% 1.36/0.88 thf(zip_derived_cl36, plain,
% 1.36/0.88 (![X0 : $i]:
% 1.36/0.88 ( (E @ (s @ 0) @ (f @ (suc @ X0))) | (LE @ (f @ X0) @ (s @ 0)))),
% 1.36/0.88 inference('demod', [status(thm)], [zip_derived_cl7, zip_derived_cl5])).
% 1.36/0.88 thf(clause_123, axiom,
% 1.36/0.88 (( ~( LE @ ( f @ ( suc @ B_93 ) ) @ ( s @ 0 ) ) ) |
% 1.36/0.88 ( E @ 0 @ ( f @ ( suc @ B_93 ) ) ) | ( LE @ ( f @ B_93 ) @ 0 ))).
% 1.36/0.88 thf(zip_derived_cl3, plain,
% 1.36/0.88 (![X0 : $i]:
% 1.36/0.88 (~ (LE @ (f @ (suc @ X0)) @ (s @ 0))
% 1.36/0.88 | (E @ 0 @ (f @ (suc @ X0)))
% 1.36/0.88 | (LE @ (f @ X0) @ 0))),
% 1.36/0.88 inference('cnf', [status(esa)], [clause_123])).
% 1.36/0.88 thf(zip_derived_cl38, plain,
% 1.36/0.88 (![X0 : $i]:
% 1.36/0.88 ( (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 1.36/0.88 | (E @ 0 @ (f @ (suc @ X0)))
% 1.36/0.88 | (LE @ (f @ X0) @ 0))),
% 1.36/0.88 inference('s_sup-', [status(thm)], [zip_derived_cl36, zip_derived_cl3])).
% 1.36/0.88 thf(zip_derived_cl116, plain,
% 1.36/0.88 (![X0 : $i]:
% 1.36/0.88 (~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 1.36/0.88 | (E @ 0 @ (f @ (suc @ X0)))
% 1.36/0.88 | (LE @ (f @ X0) @ 0))),
% 1.36/0.88 inference('s_sup+', [status(thm)], [zip_derived_cl113, zip_derived_cl38])).
% 1.36/0.88 thf(clause_185, axiom,
% 1.36/0.88 (( ~( LE @ ( f @ B_68 ) @ ( s @ ( s @ 0 ) ) ) ) |
% 1.36/0.88 ( E @ ( s @ 0 ) @ ( f @ B_68 ) ) | ( LE @ ( f @ B_68 ) @ ( s @ 0 ) ))).
% 1.36/0.88 thf(zip_derived_cl8, plain,
% 1.36/0.88 (![X0 : $i]:
% 1.36/0.88 (~ (LE @ (f @ X0) @ (s @ (s @ 0)))
% 1.36/0.88 | (E @ (s @ 0) @ (f @ X0))
% 1.36/0.88 | (LE @ (f @ X0) @ (s @ 0)))),
% 1.36/0.88 inference('cnf', [status(esa)], [clause_185])).
% 1.36/0.88 thf(zip_derived_cl5, plain, (![X0 : $i]: (LE @ (f @ X0) @ (s @ (s @ 0)))),
% 1.36/0.88 inference('cnf', [status(esa)], [clause_83])).
% 1.36/0.88 thf(zip_derived_cl28, plain,
% 1.36/0.88 (![X0 : $i]: ( (E @ (s @ 0) @ (f @ X0)) | (LE @ (f @ X0) @ (s @ 0)))),
% 1.36/0.88 inference('demod', [status(thm)], [zip_derived_cl8, zip_derived_cl5])).
% 1.36/0.88 thf(zip_derived_cl3, plain,
% 1.36/0.88 (![X0 : $i]:
% 1.36/0.88 (~ (LE @ (f @ (suc @ X0)) @ (s @ 0))
% 1.36/0.88 | (E @ 0 @ (f @ (suc @ X0)))
% 1.36/0.88 | (LE @ (f @ X0) @ 0))),
% 1.36/0.88 inference('cnf', [status(esa)], [clause_123])).
% 1.36/0.88 thf(zip_derived_cl30, plain,
% 1.36/0.88 (![X0 : $i]:
% 1.36/0.88 ( (E @ (s @ 0) @ (f @ (suc @ X0)))
% 1.36/0.88 | (E @ 0 @ (f @ (suc @ X0)))
% 1.36/0.88 | (LE @ (f @ X0) @ 0))),
% 1.36/0.88 inference('s_sup-', [status(thm)], [zip_derived_cl28, zip_derived_cl3])).
% 1.36/0.88 thf(zip_derived_cl133, plain,
% 1.36/0.88 (![X0 : $i]: ( (LE @ (f @ X0) @ 0) | (E @ 0 @ (f @ (suc @ X0))))),
% 1.36/0.88 inference('clc', [status(thm)], [zip_derived_cl116, zip_derived_cl30])).
% 1.36/0.88 thf(clause_98, axiom, (~( LE @ ( f @ z ) @ 0 ))).
% 1.36/0.88 thf(zip_derived_cl2, plain, (~ (LE @ (f @ z) @ 0)),
% 1.36/0.88 inference('cnf', [status(esa)], [clause_98])).
% 1.36/0.88 thf(zip_derived_cl135, plain, ( (E @ 0 @ (f @ (suc @ z)))),
% 1.36/0.88 inference('s_sup-', [status(thm)], [zip_derived_cl133, zip_derived_cl2])).
% 1.36/0.88 thf(clause_12, axiom,
% 1.36/0.88 (( ~( E @ 0 @ ( f @ A_2 ) ) ) | ( ~( E @ 0 @ ( f @ ( suc @ A_2 ) ) ) ) |
% 1.36/0.88 ( iLEQ @ ( suc @ A_2 ) @ ( suc @ A_2 ) ))).
% 1.36/0.88 thf(zip_derived_cl1, plain,
% 1.36/0.88 (![X0 : $i]:
% 1.36/0.88 (~ (E @ 0 @ (f @ X0))
% 1.36/0.88 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 1.36/0.88 | (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 1.36/0.88 inference('cnf', [status(esa)], [clause_12])).
% 1.36/0.88 thf(clause_102, axiom,
% 1.36/0.88 (( ~( iLEQ @ ( suc @ B_96 ) @ ( suc @ B_97 ) ) ) |
% 1.36/0.88 ( ~( E @ 0 @ ( f @ ( suc @ A_2 ) ) ) ) |
% 1.36/0.88 ( ~( E @ 0 @ ( f @ ( suc @ B_96 ) ) ) ) |
% 1.36/0.88 ( ~( iLEQ @ ( suc @ B_97 ) @ ( suc @ B_98 ) ) ) |
% 1.36/0.88 ( ~( E @ 0 @ ( f @ ( suc @ B_97 ) ) ) ) | ( ~( E @ 0 @ ( f @ A_2 ) ) ) |
% 1.36/0.88 ( ~( E @ 0 @ ( f @ ( suc @ B_94 ) ) ) ) | ( ~( E @ 0 @ ( f @ B_97 ) ) ) |
% 1.36/0.88 ( ~( iLEQ @ ( suc @ B_95 ) @ ( suc @ B_96 ) ) ) |
% 1.36/0.88 ( ~( E @ 0 @ ( f @ B_96 ) ) ) |
% 1.36/0.88 ( ~( iLEQ @ ( suc @ B_94 ) @ ( suc @ B_95 ) ) ) |
% 1.36/0.88 ( ~( E @ 0 @ ( f @ ( suc @ B_98 ) ) ) ) | ( ~( E @ 0 @ ( f @ B_94 ) ) ) |
% 1.36/0.88 ( ~( iLEQ @ ( suc @ A_2 ) @ ( suc @ B_94 ) ) ) |
% 1.36/0.88 ( ~( E @ 0 @ ( f @ ( suc @ B_95 ) ) ) ) | ( ~( E @ 0 @ ( f @ B_98 ) ) ) |
% 1.36/0.88 ( ~( E @ 0 @ ( f @ B_95 ) ) ))).
% 1.36/0.88 thf(zip_derived_cl0, plain,
% 1.36/0.88 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.36/0.88 (~ (iLEQ @ (suc @ X0) @ (suc @ X1))
% 1.36/0.88 | ~ (E @ 0 @ (f @ (suc @ X2)))
% 1.36/0.88 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 1.36/0.88 | ~ (iLEQ @ (suc @ X1) @ (suc @ X3))
% 1.36/0.88 | ~ (E @ 0 @ (f @ (suc @ X1)))
% 1.36/0.88 | ~ (E @ 0 @ (f @ X2))
% 1.36/0.88 | ~ (E @ 0 @ (f @ (suc @ X4)))
% 1.36/0.88 | ~ (E @ 0 @ (f @ X1))
% 1.36/0.88 | ~ (iLEQ @ (suc @ X5) @ (suc @ X0))
% 1.36/0.88 | ~ (E @ 0 @ (f @ X0))
% 1.36/0.88 | ~ (iLEQ @ (suc @ X4) @ (suc @ X5))
% 1.36/0.88 | ~ (E @ 0 @ (f @ (suc @ X3)))
% 1.36/0.88 | ~ (E @ 0 @ (f @ X4))
% 1.36/0.88 | ~ (iLEQ @ (suc @ X2) @ (suc @ X4))
% 1.36/0.88 | ~ (E @ 0 @ (f @ (suc @ X5)))
% 1.36/0.88 | ~ (E @ 0 @ (f @ X3))
% 1.36/0.88 | ~ (E @ 0 @ (f @ X5)))),
% 1.36/0.88 inference('cnf', [status(esa)], [clause_102])).
% 1.36/0.88 thf(zip_derived_cl11, plain,
% 1.36/0.88 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.36/0.88 (~ (E @ 0 @ (f @ X1))
% 1.36/0.88 | ~ (E @ 0 @ (f @ X0))
% 1.36/0.88 | ~ (E @ 0 @ (f @ (suc @ X1)))
% 1.36/0.88 | ~ (iLEQ @ (suc @ X3) @ (suc @ X2))
% 1.36/0.88 | ~ (E @ 0 @ (f @ X2))
% 1.36/0.88 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 1.36/0.88 | ~ (iLEQ @ (suc @ X2) @ (suc @ X1))
% 1.36/0.88 | ~ (E @ 0 @ (f @ X0))
% 1.36/0.88 | ~ (iLEQ @ (suc @ X1) @ (suc @ X0))
% 1.36/0.88 | ~ (E @ 0 @ (f @ X0))
% 1.36/0.88 | ~ (E @ 0 @ (f @ (suc @ X2)))
% 1.36/0.88 | ~ (E @ 0 @ (f @ X3))
% 1.36/0.88 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 1.36/0.88 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 1.36/0.88 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 1.36/0.88 | ~ (E @ 0 @ (f @ (suc @ X3))))),
% 1.36/0.88 inference('eq_fact', [status(thm)], [zip_derived_cl0])).
% 1.36/0.88 thf(zip_derived_cl15, plain,
% 1.36/0.88 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.36/0.88 (~ (E @ 0 @ (f @ (suc @ X3)))
% 1.36/0.88 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 1.36/0.88 | ~ (E @ 0 @ (f @ X3))
% 1.36/0.88 | ~ (E @ 0 @ (f @ (suc @ X2)))
% 1.36/0.88 | ~ (iLEQ @ (suc @ X1) @ (suc @ X0))
% 1.36/0.88 | ~ (iLEQ @ (suc @ X2) @ (suc @ X1))
% 1.36/0.88 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 1.36/0.88 | ~ (E @ 0 @ (f @ X2))
% 1.36/0.88 | ~ (iLEQ @ (suc @ X3) @ (suc @ X2))
% 1.36/0.88 | ~ (E @ 0 @ (f @ (suc @ X1)))
% 1.36/0.88 | ~ (E @ 0 @ (f @ X0))
% 1.36/0.88 | ~ (E @ 0 @ (f @ X1)))),
% 1.36/0.88 inference('simplify', [status(thm)], [zip_derived_cl11])).
% 1.36/0.88 thf(zip_derived_cl22, plain,
% 1.36/0.88 (![X0 : $i, X1 : $i]:
% 1.36/0.88 (~ (E @ 0 @ (f @ X0))
% 1.36/0.88 | ~ (E @ 0 @ (f @ X0))
% 1.36/0.88 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 1.36/0.88 | ~ (iLEQ @ (suc @ X1) @ (suc @ X0))
% 1.36/0.88 | ~ (E @ 0 @ (f @ X0))
% 1.36/0.88 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 1.36/0.88 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 1.36/0.88 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 1.36/0.88 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 1.36/0.88 | ~ (E @ 0 @ (f @ X1))
% 1.36/0.88 | ~ (E @ 0 @ (f @ (suc @ X1))))),
% 1.36/0.88 inference('eq_fact', [status(thm)], [zip_derived_cl15])).
% 1.36/0.88 thf(zip_derived_cl25, plain,
% 1.36/0.88 (![X0 : $i, X1 : $i]:
% 1.36/0.88 (~ (E @ 0 @ (f @ (suc @ X1)))
% 1.36/0.88 | ~ (E @ 0 @ (f @ X1))
% 1.36/0.88 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 1.36/0.88 | ~ (iLEQ @ (suc @ X1) @ (suc @ X0))
% 1.36/0.88 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 1.36/0.88 | ~ (E @ 0 @ (f @ X0)))),
% 1.36/0.88 inference('simplify', [status(thm)], [zip_derived_cl22])).
% 1.36/0.88 thf(zip_derived_cl1, plain,
% 1.36/0.88 (![X0 : $i]:
% 1.36/0.88 (~ (E @ 0 @ (f @ X0))
% 1.36/0.88 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 1.36/0.88 | (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 1.36/0.88 inference('cnf', [status(esa)], [clause_12])).
% 1.36/0.88 thf(zip_derived_cl31, plain,
% 1.36/0.88 (![X0 : $i, X1 : $i]:
% 1.36/0.88 (~ (E @ 0 @ (f @ X0))
% 1.36/0.88 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 1.36/0.88 | ~ (iLEQ @ (suc @ X1) @ (suc @ X0))
% 1.36/0.88 | ~ (E @ 0 @ (f @ X1))
% 1.36/0.88 | ~ (E @ 0 @ (f @ (suc @ X1))))),
% 1.36/0.88 inference('clc', [status(thm)], [zip_derived_cl25, zip_derived_cl1])).
% 1.36/0.88 thf(zip_derived_cl33, plain,
% 1.36/0.88 (![X0 : $i]:
% 1.36/0.88 (~ (E @ 0 @ (f @ (suc @ X0)))
% 1.36/0.88 | ~ (E @ 0 @ (f @ X0))
% 1.36/0.88 | ~ (E @ 0 @ (f @ X0))
% 1.36/0.88 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 1.36/0.88 | ~ (E @ 0 @ (f @ X0))
% 1.36/0.88 | ~ (E @ 0 @ (f @ (suc @ X0))))),
% 1.36/0.88 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl31])).
% 1.36/0.88 thf(zip_derived_cl34, plain,
% 1.36/0.88 (![X0 : $i]: (~ (E @ 0 @ (f @ X0)) | ~ (E @ 0 @ (f @ (suc @ X0))))),
% 1.36/0.88 inference('simplify', [status(thm)], [zip_derived_cl33])).
% 1.36/0.88 thf(zip_derived_cl136, plain, (~ (E @ 0 @ (f @ z))),
% 1.36/0.88 inference('s_sup-', [status(thm)], [zip_derived_cl135, zip_derived_cl34])).
% 1.36/0.88 thf(zip_derived_cl113, plain,
% 1.36/0.88 (![X0 : $i]:
% 1.36/0.88 (~ (E @ (s @ 0) @ (f @ X0)) | ~ (E @ (s @ 0) @ (f @ (suc @ X0))))),
% 1.36/0.88 inference('clc', [status(thm)], [zip_derived_cl112, zip_derived_cl6])).
% 1.36/0.88 thf(zip_derived_cl36, plain,
% 1.36/0.88 (![X0 : $i]:
% 1.36/0.88 ( (E @ (s @ 0) @ (f @ (suc @ X0))) | (LE @ (f @ X0) @ (s @ 0)))),
% 1.36/0.88 inference('demod', [status(thm)], [zip_derived_cl7, zip_derived_cl5])).
% 1.36/0.88 thf(clause_42, axiom,
% 1.36/0.88 (( ~( LE @ ( f @ B_93 ) @ ( s @ 0 ) ) ) | ( E @ 0 @ ( f @ B_93 ) ) |
% 1.36/0.88 ( LE @ ( f @ B_93 ) @ 0 ))).
% 1.36/0.88 thf(zip_derived_cl4, plain,
% 1.36/0.88 (![X0 : $i]:
% 1.36/0.88 (~ (LE @ (f @ X0) @ (s @ 0))
% 1.36/0.88 | (E @ 0 @ (f @ X0))
% 1.36/0.88 | (LE @ (f @ X0) @ 0))),
% 1.36/0.88 inference('cnf', [status(esa)], [clause_42])).
% 1.36/0.88 thf(zip_derived_cl37, plain,
% 1.36/0.88 (![X0 : $i]:
% 1.36/0.88 ( (E @ (s @ 0) @ (f @ (suc @ X0)))
% 1.36/0.88 | (E @ 0 @ (f @ X0))
% 1.36/0.88 | (LE @ (f @ X0) @ 0))),
% 1.36/0.88 inference('s_sup-', [status(thm)], [zip_derived_cl36, zip_derived_cl4])).
% 1.36/0.88 thf(zip_derived_cl115, plain,
% 1.36/0.88 (![X0 : $i]:
% 1.36/0.88 (~ (E @ (s @ 0) @ (f @ X0))
% 1.36/0.88 | (E @ 0 @ (f @ X0))
% 1.36/0.88 | (LE @ (f @ X0) @ 0))),
% 1.36/0.88 inference('s_sup+', [status(thm)], [zip_derived_cl113, zip_derived_cl37])).
% 1.36/0.88 thf(zip_derived_cl28, plain,
% 1.36/0.88 (![X0 : $i]: ( (E @ (s @ 0) @ (f @ X0)) | (LE @ (f @ X0) @ (s @ 0)))),
% 1.36/0.88 inference('demod', [status(thm)], [zip_derived_cl8, zip_derived_cl5])).
% 1.36/0.88 thf(zip_derived_cl4, plain,
% 1.36/0.88 (![X0 : $i]:
% 1.36/0.88 (~ (LE @ (f @ X0) @ (s @ 0))
% 1.36/0.88 | (E @ 0 @ (f @ X0))
% 1.36/0.88 | (LE @ (f @ X0) @ 0))),
% 1.36/0.88 inference('cnf', [status(esa)], [clause_42])).
% 1.36/0.88 thf(zip_derived_cl29, plain,
% 1.36/0.88 (![X0 : $i]:
% 1.36/0.88 ( (E @ (s @ 0) @ (f @ X0))
% 1.36/0.88 | (E @ 0 @ (f @ X0))
% 1.36/0.88 | (LE @ (f @ X0) @ 0))),
% 1.36/0.88 inference('s_sup-', [status(thm)], [zip_derived_cl28, zip_derived_cl4])).
% 1.36/0.88 thf(zip_derived_cl120, plain,
% 1.36/0.88 (![X0 : $i]: ( (LE @ (f @ X0) @ 0) | (E @ 0 @ (f @ X0)))),
% 1.36/0.88 inference('clc', [status(thm)], [zip_derived_cl115, zip_derived_cl29])).
% 1.36/0.88 thf(zip_derived_cl2, plain, (~ (LE @ (f @ z) @ 0)),
% 1.36/0.88 inference('cnf', [status(esa)], [clause_98])).
% 1.36/0.88 thf(zip_derived_cl121, plain, ( (E @ 0 @ (f @ z))),
% 1.36/0.88 inference('s_sup-', [status(thm)], [zip_derived_cl120, zip_derived_cl2])).
% 1.36/0.88 thf(zip_derived_cl137, plain, ($false),
% 1.36/0.88 inference('demod', [status(thm)], [zip_derived_cl136, zip_derived_cl121])).
% 1.36/0.88
% 1.36/0.88 % SZS output end Refutation
% 1.36/0.88
% 1.36/0.88
% 1.36/0.88 % Terminating...
% 2.17/300.12 Alarm clock
% 2.17/300.12 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------