TSTP Solution File: SYO664-1 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYO664-1 : 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.rNLgfT1sj7 true
% Computer : n016.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 05:52:28 EDT 2023
% Result : Unsatisfiable 0.21s 0.77s
% Output : Refutation 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SYO664-1 : TPTP v8.1.2. Released v7.3.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.rNLgfT1sj7 true
% 0.14/0.35 % Computer : n016.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sat Aug 26 02:24:41 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.36 % Running in FO mode
% 0.21/0.64 % Total configuration time : 435
% 0.21/0.64 % Estimated wc time : 1092
% 0.21/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.77 % Solved by fo/fo3_bce.sh.
% 0.21/0.77 % BCE start: 10
% 0.21/0.77 % BCE eliminated: 0
% 0.21/0.77 % PE start: 10
% 0.21/0.77 logic: neq
% 0.21/0.77 % PE eliminated: 0
% 0.21/0.77 % done 37 iterations in 0.025s
% 0.21/0.77 % SZS status Unsatisfiable for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.21/0.77 % SZS output start Refutation
% 0.21/0.77 thf(LE_type, type, LE: $i > $i > $o).
% 0.21/0.77 thf(f_type, type, f: $i > $i).
% 0.21/0.77 thf(0_type, type, 0: $i).
% 0.21/0.77 thf(s_type, type, s: $i > $i).
% 0.21/0.77 thf(E_type, type, E: $i > $i > $o).
% 0.21/0.77 thf(iLEQ_type, type, iLEQ: $i > $i > $o).
% 0.21/0.77 thf(z_type, type, z: $i).
% 0.21/0.77 thf(suc_type, type, suc: $i > $i).
% 0.21/0.77 thf(clause_83, axiom,
% 0.21/0.77 (( ~( LE @ ( f @ ( suc @ B_42 ) ) @ ( s @ ( s @ 0 ) ) ) ) |
% 0.21/0.77 ( E @ ( s @ 0 ) @ ( f @ ( suc @ B_42 ) ) ) |
% 0.21/0.77 ( LE @ ( f @ B_42 ) @ ( s @ 0 ) ))).
% 0.21/0.77 thf(zip_derived_cl9, plain,
% 0.21/0.77 (![X0 : $i]:
% 0.21/0.77 (~ (LE @ (f @ (suc @ X0)) @ (s @ (s @ 0)))
% 0.21/0.77 | (E @ (s @ 0) @ (f @ (suc @ X0)))
% 0.21/0.77 | (LE @ (f @ X0) @ (s @ 0)))),
% 0.21/0.77 inference('cnf', [status(esa)], [clause_83])).
% 0.21/0.77 thf(clause_58, axiom, (LE @ ( f @ A ) @ ( s @ ( s @ 0 ) ))).
% 0.21/0.77 thf(zip_derived_cl4, plain, (![X0 : $i]: (LE @ (f @ X0) @ (s @ (s @ 0)))),
% 0.21/0.77 inference('cnf', [status(esa)], [clause_58])).
% 0.21/0.77 thf(zip_derived_cl25, plain,
% 0.21/0.77 (![X0 : $i]:
% 0.21/0.77 ( (E @ (s @ 0) @ (f @ (suc @ X0))) | (LE @ (f @ X0) @ (s @ 0)))),
% 0.21/0.77 inference('demod', [status(thm)], [zip_derived_cl9, zip_derived_cl4])).
% 0.21/0.77 thf(clause_117, axiom,
% 0.21/0.77 (( ~( LE @ ( f @ ( suc @ B_60 ) ) @ ( s @ 0 ) ) ) |
% 0.21/0.77 ( E @ 0 @ ( f @ ( suc @ B_60 ) ) ) | ( LE @ ( f @ B_60 ) @ 0 ))).
% 0.21/0.77 thf(zip_derived_cl6, plain,
% 0.21/0.77 (![X0 : $i]:
% 0.21/0.77 (~ (LE @ (f @ (suc @ X0)) @ (s @ 0))
% 0.21/0.77 | (E @ 0 @ (f @ (suc @ X0)))
% 0.21/0.77 | (LE @ (f @ X0) @ 0))),
% 0.21/0.77 inference('cnf', [status(esa)], [clause_117])).
% 0.21/0.77 thf(zip_derived_cl27, plain,
% 0.21/0.77 (![X0 : $i]:
% 0.21/0.77 ( (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 0.21/0.77 | (LE @ (f @ X0) @ 0)
% 0.21/0.77 | (E @ 0 @ (f @ (suc @ X0))))),
% 0.21/0.77 inference('sup-', [status(thm)], [zip_derived_cl25, zip_derived_cl6])).
% 0.21/0.77 thf(clause_70, axiom, (~( LE @ ( f @ z ) @ 0 ))).
% 0.21/0.77 thf(zip_derived_cl1, plain, (~ (LE @ (f @ z) @ 0)),
% 0.21/0.77 inference('cnf', [status(esa)], [clause_70])).
% 0.21/0.77 thf(zip_derived_cl68, plain,
% 0.21/0.77 (( (E @ 0 @ (f @ (suc @ z))) | (E @ (s @ 0) @ (f @ (suc @ (suc @ z)))))),
% 0.21/0.77 inference('sup-', [status(thm)], [zip_derived_cl27, zip_derived_cl1])).
% 0.21/0.77 thf(clause_37, axiom,
% 0.21/0.77 (( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ B_45 ) ) ) ) |
% 0.21/0.77 ( ~( E @ ( s @ 0 ) @ ( f @ B_45 ) ) ) |
% 0.21/0.77 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ B_46 ) ) ) ) |
% 0.21/0.77 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ B_43 ) ) ) ) |
% 0.21/0.77 ( ~( E @ ( s @ 0 ) @ ( f @ A_1 ) ) ) |
% 0.21/0.77 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ A_1 ) ) ) ) |
% 0.21/0.77 ( ~( iLEQ @ ( suc @ A_1 ) @ ( suc @ B_43 ) ) ) |
% 0.21/0.77 ( ~( E @ ( s @ 0 ) @ ( f @ B_43 ) ) ) |
% 0.21/0.77 ( ~( iLEQ @ ( suc @ B_44 ) @ ( suc @ B_45 ) ) ) |
% 0.21/0.77 ( ~( E @ ( s @ 0 ) @ ( f @ B_46 ) ) ) |
% 0.21/0.77 ( ~( E @ ( s @ 0 ) @ ( f @ B_44 ) ) ) |
% 0.21/0.77 ( ~( iLEQ @ ( suc @ B_45 ) @ ( suc @ B_46 ) ) ) |
% 0.21/0.77 ( ~( iLEQ @ ( suc @ B_43 ) @ ( suc @ B_44 ) ) ) |
% 0.21/0.77 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ B_44 ) ) ) ))).
% 0.21/0.77 thf(zip_derived_cl0, plain,
% 0.21/0.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.21/0.77 (~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 0.21/0.77 | ~ (E @ (s @ 0) @ (f @ X0))
% 0.21/0.77 | ~ (E @ (s @ 0) @ (f @ (suc @ X1)))
% 0.21/0.77 | ~ (E @ (s @ 0) @ (f @ (suc @ X2)))
% 0.21/0.77 | ~ (E @ (s @ 0) @ (f @ X3))
% 0.21/0.77 | ~ (E @ (s @ 0) @ (f @ (suc @ X3)))
% 0.21/0.77 | ~ (iLEQ @ (suc @ X3) @ (suc @ X2))
% 0.21/0.77 | ~ (E @ (s @ 0) @ (f @ X2))
% 0.21/0.77 | ~ (iLEQ @ (suc @ X4) @ (suc @ X0))
% 0.21/0.77 | ~ (E @ (s @ 0) @ (f @ X1))
% 0.21/0.77 | ~ (E @ (s @ 0) @ (f @ X4))
% 0.21/0.77 | ~ (iLEQ @ (suc @ X0) @ (suc @ X1))
% 0.21/0.77 | ~ (iLEQ @ (suc @ X2) @ (suc @ X4))
% 0.21/0.77 | ~ (E @ (s @ 0) @ (f @ (suc @ X4))))),
% 0.21/0.77 inference('cnf', [status(esa)], [clause_37])).
% 0.21/0.77 thf(zip_derived_cl12, plain,
% 0.21/0.77 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.21/0.77 (~ (E @ (s @ 0) @ (f @ (suc @ X1)))
% 0.21/0.77 | ~ (iLEQ @ (suc @ X0) @ (suc @ X1))
% 0.21/0.77 | ~ (iLEQ @ (suc @ X0) @ (suc @ X2))
% 0.21/0.77 | ~ (E @ (s @ 0) @ (f @ X1))
% 0.21/0.77 | ~ (E @ (s @ 0) @ (f @ X2))
% 0.21/0.77 | ~ (iLEQ @ (suc @ X1) @ (suc @ X0))
% 0.21/0.77 | ~ (E @ (s @ 0) @ (f @ X0))
% 0.21/0.77 | ~ (E @ (s @ 0) @ (f @ (suc @ X1)))
% 0.21/0.77 | ~ (E @ (s @ 0) @ (f @ X1))
% 0.21/0.77 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 0.21/0.77 | ~ (E @ (s @ 0) @ (f @ (suc @ X2)))
% 0.21/0.77 | ~ (E @ (s @ 0) @ (f @ X0))
% 0.21/0.77 | ~ (E @ (s @ 0) @ (f @ (suc @ X0))))),
% 0.21/0.77 inference('eq_fact', [status(thm)], [zip_derived_cl0])).
% 0.21/0.77 thf(zip_derived_cl15, plain,
% 0.21/0.77 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.21/0.77 (~ (E @ (s @ 0) @ (f @ (suc @ X2)))
% 0.21/0.77 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 0.21/0.77 | ~ (E @ (s @ 0) @ (f @ X0))
% 0.21/0.77 | ~ (iLEQ @ (suc @ X1) @ (suc @ X0))
% 0.21/0.77 | ~ (E @ (s @ 0) @ (f @ X2))
% 0.21/0.77 | ~ (E @ (s @ 0) @ (f @ X1))
% 0.21/0.77 | ~ (iLEQ @ (suc @ X0) @ (suc @ X2))
% 0.21/0.77 | ~ (iLEQ @ (suc @ X0) @ (suc @ X1))
% 0.21/0.77 | ~ (E @ (s @ 0) @ (f @ (suc @ X1))))),
% 0.21/0.77 inference('simplify', [status(thm)], [zip_derived_cl12])).
% 0.21/0.77 thf(zip_derived_cl46, plain,
% 0.21/0.77 (![X0 : $i]:
% 0.21/0.77 (~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 0.21/0.77 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 0.21/0.77 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 0.21/0.77 | ~ (E @ (s @ 0) @ (f @ X0))
% 0.21/0.77 | ~ (E @ (s @ 0) @ (f @ X0))
% 0.21/0.77 | ~ (E @ (s @ 0) @ (f @ X0))
% 0.21/0.77 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 0.21/0.77 | ~ (E @ (s @ 0) @ (f @ (suc @ X0))))),
% 0.21/0.77 inference('eq_fact', [status(thm)], [zip_derived_cl15])).
% 0.21/0.77 thf(zip_derived_cl48, plain,
% 0.21/0.77 (![X0 : $i]:
% 0.21/0.77 (~ (E @ (s @ 0) @ (f @ X0))
% 0.21/0.77 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 0.21/0.77 | ~ (E @ (s @ 0) @ (f @ (suc @ X0))))),
% 0.21/0.77 inference('simplify', [status(thm)], [zip_derived_cl46])).
% 0.21/0.77 thf(clause_50, axiom,
% 0.21/0.77 (( ~( E @ ( s @ 0 ) @ ( f @ A_1 ) ) ) |
% 0.21/0.77 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ A_1 ) ) ) ) |
% 0.21/0.77 ( iLEQ @ ( suc @ A_1 ) @ ( suc @ A_1 ) ))).
% 0.21/0.77 thf(zip_derived_cl8, plain,
% 0.21/0.77 (![X0 : $i]:
% 0.21/0.77 (~ (E @ (s @ 0) @ (f @ X0))
% 0.21/0.77 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 0.21/0.77 | (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 0.21/0.77 inference('cnf', [status(esa)], [clause_50])).
% 0.21/0.77 thf(zip_derived_cl52, plain,
% 0.21/0.77 (![X0 : $i]:
% 0.21/0.77 (~ (E @ (s @ 0) @ (f @ (suc @ X0))) | ~ (E @ (s @ 0) @ (f @ X0)))),
% 0.21/0.77 inference('clc', [status(thm)], [zip_derived_cl48, zip_derived_cl8])).
% 0.21/0.77 thf(zip_derived_cl70, plain,
% 0.21/0.77 (( (E @ 0 @ (f @ (suc @ z))) | ~ (E @ (s @ 0) @ (f @ (suc @ z))))),
% 0.21/0.77 inference('sup-', [status(thm)], [zip_derived_cl68, zip_derived_cl52])).
% 0.21/0.77 thf(clause_20, axiom,
% 0.21/0.77 (( ~( LE @ ( f @ B_42 ) @ ( s @ ( s @ 0 ) ) ) ) |
% 0.21/0.77 ( E @ ( s @ 0 ) @ ( f @ B_42 ) ) | ( LE @ ( f @ B_42 ) @ ( s @ 0 ) ))).
% 0.21/0.77 thf(zip_derived_cl2, plain,
% 0.21/0.77 (![X0 : $i]:
% 0.21/0.77 (~ (LE @ (f @ X0) @ (s @ (s @ 0)))
% 0.21/0.77 | (E @ (s @ 0) @ (f @ X0))
% 0.21/0.77 | (LE @ (f @ X0) @ (s @ 0)))),
% 0.21/0.77 inference('cnf', [status(esa)], [clause_20])).
% 0.21/0.77 thf(zip_derived_cl4, plain, (![X0 : $i]: (LE @ (f @ X0) @ (s @ (s @ 0)))),
% 0.21/0.77 inference('cnf', [status(esa)], [clause_58])).
% 0.21/0.77 thf(zip_derived_cl20, plain,
% 0.21/0.77 (![X0 : $i]: ( (E @ (s @ 0) @ (f @ X0)) | (LE @ (f @ X0) @ (s @ 0)))),
% 0.21/0.77 inference('demod', [status(thm)], [zip_derived_cl2, zip_derived_cl4])).
% 0.21/0.77 thf(zip_derived_cl6, plain,
% 0.21/0.77 (![X0 : $i]:
% 0.21/0.77 (~ (LE @ (f @ (suc @ X0)) @ (s @ 0))
% 0.21/0.77 | (E @ 0 @ (f @ (suc @ X0)))
% 0.21/0.77 | (LE @ (f @ X0) @ 0))),
% 0.21/0.77 inference('cnf', [status(esa)], [clause_117])).
% 0.21/0.77 thf(zip_derived_cl22, plain,
% 0.21/0.77 (![X0 : $i]:
% 0.21/0.77 ( (E @ (s @ 0) @ (f @ (suc @ X0)))
% 0.21/0.77 | (LE @ (f @ X0) @ 0)
% 0.21/0.77 | (E @ 0 @ (f @ (suc @ X0))))),
% 0.21/0.77 inference('sup-', [status(thm)], [zip_derived_cl20, zip_derived_cl6])).
% 0.21/0.77 thf(zip_derived_cl1, plain, (~ (LE @ (f @ z) @ 0)),
% 0.21/0.77 inference('cnf', [status(esa)], [clause_70])).
% 0.21/0.77 thf(zip_derived_cl60, plain,
% 0.21/0.77 (( (E @ 0 @ (f @ (suc @ z))) | (E @ (s @ 0) @ (f @ (suc @ z))))),
% 0.21/0.77 inference('sup-', [status(thm)], [zip_derived_cl22, zip_derived_cl1])).
% 0.21/0.77 thf(zip_derived_cl72, plain, ( (E @ 0 @ (f @ (suc @ z)))),
% 0.21/0.77 inference('clc', [status(thm)], [zip_derived_cl70, zip_derived_cl60])).
% 0.21/0.77 thf(clause_66, axiom,
% 0.21/0.77 (( ~( E @ 0 @ ( f @ B_63 ) ) ) | ( ~( E @ 0 @ ( f @ ( suc @ B_61 ) ) ) ) |
% 0.21/0.77 ( ~( E @ 0 @ ( f @ ( suc @ A_2 ) ) ) ) |
% 0.21/0.77 ( ~( iLEQ @ ( suc @ A_2 ) @ ( suc @ B_61 ) ) ) |
% 0.21/0.77 ( ~( iLEQ @ ( suc @ B_61 ) @ ( suc @ B_62 ) ) ) |
% 0.21/0.77 ( ~( E @ 0 @ ( f @ ( suc @ B_63 ) ) ) ) | ( ~( E @ 0 @ ( f @ A_2 ) ) ) |
% 0.21/0.77 ( ~( iLEQ @ ( suc @ B_62 ) @ ( suc @ B_63 ) ) ) |
% 0.21/0.77 ( ~( E @ 0 @ ( f @ B_64 ) ) ) |
% 0.21/0.77 ( ~( iLEQ @ ( suc @ B_63 ) @ ( suc @ B_64 ) ) ) |
% 0.21/0.77 ( ~( E @ 0 @ ( f @ ( suc @ B_62 ) ) ) ) | ( ~( E @ 0 @ ( f @ B_61 ) ) ) |
% 0.21/0.77 ( ~( E @ 0 @ ( f @ ( suc @ B_64 ) ) ) ) | ( ~( E @ 0 @ ( f @ B_62 ) ) ))).
% 0.21/0.77 thf(zip_derived_cl3, plain,
% 0.21/0.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.21/0.77 (~ (E @ 0 @ (f @ X0))
% 0.21/0.77 | ~ (E @ 0 @ (f @ (suc @ X1)))
% 0.21/0.77 | ~ (E @ 0 @ (f @ (suc @ X2)))
% 0.21/0.77 | ~ (iLEQ @ (suc @ X2) @ (suc @ X1))
% 0.21/0.77 | ~ (iLEQ @ (suc @ X1) @ (suc @ X3))
% 0.21/0.77 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.21/0.77 | ~ (E @ 0 @ (f @ X2))
% 0.21/0.77 | ~ (iLEQ @ (suc @ X3) @ (suc @ X0))
% 0.21/0.77 | ~ (E @ 0 @ (f @ X4))
% 0.21/0.77 | ~ (iLEQ @ (suc @ X0) @ (suc @ X4))
% 0.21/0.77 | ~ (E @ 0 @ (f @ (suc @ X3)))
% 0.21/0.77 | ~ (E @ 0 @ (f @ X1))
% 0.21/0.77 | ~ (E @ 0 @ (f @ (suc @ X4)))
% 0.21/0.77 | ~ (E @ 0 @ (f @ X3)))),
% 0.21/0.77 inference('cnf', [status(esa)], [clause_66])).
% 0.21/0.77 thf(zip_derived_cl32, plain,
% 0.21/0.77 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.21/0.77 (~ (E @ 0 @ (f @ X0))
% 0.21/0.77 | ~ (E @ 0 @ (f @ (suc @ X1)))
% 0.21/0.77 | ~ (E @ 0 @ (f @ X0))
% 0.21/0.77 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.21/0.77 | ~ (iLEQ @ (suc @ X2) @ (suc @ X1))
% 0.21/0.77 | ~ (E @ 0 @ (f @ X1))
% 0.21/0.77 | ~ (iLEQ @ (suc @ X0) @ (suc @ X2))
% 0.21/0.77 | ~ (E @ 0 @ (f @ X0))
% 0.21/0.77 | ~ (E @ 0 @ (f @ (suc @ X2)))
% 0.21/0.77 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 0.21/0.77 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.21/0.77 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.21/0.77 | ~ (E @ 0 @ (f @ X2)))),
% 0.21/0.77 inference('eq_fact', [status(thm)], [zip_derived_cl3])).
% 0.21/0.77 thf(zip_derived_cl35, plain,
% 0.21/0.77 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.21/0.77 (~ (E @ 0 @ (f @ X2))
% 0.21/0.77 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 0.21/0.77 | ~ (E @ 0 @ (f @ (suc @ X2)))
% 0.21/0.77 | ~ (iLEQ @ (suc @ X0) @ (suc @ X2))
% 0.21/0.77 | ~ (E @ 0 @ (f @ X1))
% 0.21/0.77 | ~ (iLEQ @ (suc @ X2) @ (suc @ X1))
% 0.21/0.77 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.21/0.77 | ~ (E @ 0 @ (f @ (suc @ X1)))
% 0.21/0.77 | ~ (E @ 0 @ (f @ X0)))),
% 0.21/0.77 inference('simplify', [status(thm)], [zip_derived_cl32])).
% 0.21/0.77 thf(zip_derived_cl82, plain,
% 0.21/0.77 (![X0 : $i]:
% 0.21/0.77 (~ (E @ 0 @ (f @ X0))
% 0.21/0.77 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.21/0.77 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.21/0.77 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 0.21/0.77 | ~ (E @ 0 @ (f @ X0))
% 0.21/0.77 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 0.21/0.77 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.21/0.77 | ~ (E @ 0 @ (f @ X0)))),
% 0.21/0.77 inference('eq_fact', [status(thm)], [zip_derived_cl35])).
% 0.21/0.77 thf(zip_derived_cl84, plain,
% 0.21/0.77 (![X0 : $i]:
% 0.21/0.77 (~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 0.21/0.77 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.21/0.77 | ~ (E @ 0 @ (f @ X0)))),
% 0.21/0.77 inference('simplify', [status(thm)], [zip_derived_cl82])).
% 0.21/0.77 thf(clause_6, axiom,
% 0.21/0.77 (( ~( E @ 0 @ ( f @ A_2 ) ) ) | ( ~( E @ 0 @ ( f @ ( suc @ A_2 ) ) ) ) |
% 0.21/0.77 ( iLEQ @ ( suc @ A_2 ) @ ( suc @ A_2 ) ))).
% 0.21/0.77 thf(zip_derived_cl5, plain,
% 0.21/0.77 (![X0 : $i]:
% 0.21/0.77 (~ (E @ 0 @ (f @ X0))
% 0.21/0.77 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.21/0.77 | (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 0.21/0.77 inference('cnf', [status(esa)], [clause_6])).
% 0.21/0.77 thf(zip_derived_cl86, plain,
% 0.21/0.77 (![X0 : $i]: (~ (E @ 0 @ (f @ X0)) | ~ (E @ 0 @ (f @ (suc @ X0))))),
% 0.21/0.77 inference('clc', [status(thm)], [zip_derived_cl84, zip_derived_cl5])).
% 0.21/0.77 thf(zip_derived_cl88, plain, (~ (E @ 0 @ (f @ z))),
% 0.21/0.77 inference('sup-', [status(thm)], [zip_derived_cl72, zip_derived_cl86])).
% 0.21/0.77 thf(zip_derived_cl52, plain,
% 0.21/0.77 (![X0 : $i]:
% 0.21/0.77 (~ (E @ (s @ 0) @ (f @ (suc @ X0))) | ~ (E @ (s @ 0) @ (f @ X0)))),
% 0.21/0.77 inference('clc', [status(thm)], [zip_derived_cl48, zip_derived_cl8])).
% 0.21/0.77 thf(zip_derived_cl25, plain,
% 0.21/0.77 (![X0 : $i]:
% 0.21/0.77 ( (E @ (s @ 0) @ (f @ (suc @ X0))) | (LE @ (f @ X0) @ (s @ 0)))),
% 0.21/0.77 inference('demod', [status(thm)], [zip_derived_cl9, zip_derived_cl4])).
% 0.21/0.77 thf(clause_94, axiom,
% 0.21/0.77 (( ~( LE @ ( f @ B_60 ) @ ( s @ 0 ) ) ) | ( E @ 0 @ ( f @ B_60 ) ) |
% 0.21/0.77 ( LE @ ( f @ B_60 ) @ 0 ))).
% 0.21/0.77 thf(zip_derived_cl7, plain,
% 0.21/0.77 (![X0 : $i]:
% 0.21/0.77 (~ (LE @ (f @ X0) @ (s @ 0))
% 0.21/0.77 | (E @ 0 @ (f @ X0))
% 0.21/0.77 | (LE @ (f @ X0) @ 0))),
% 0.21/0.77 inference('cnf', [status(esa)], [clause_94])).
% 0.21/0.77 thf(zip_derived_cl26, plain,
% 0.21/0.77 (![X0 : $i]:
% 0.21/0.77 ( (E @ (s @ 0) @ (f @ (suc @ X0)))
% 0.21/0.77 | (LE @ (f @ X0) @ 0)
% 0.21/0.77 | (E @ 0 @ (f @ X0)))),
% 0.21/0.77 inference('sup-', [status(thm)], [zip_derived_cl25, zip_derived_cl7])).
% 0.21/0.77 thf(zip_derived_cl1, plain, (~ (LE @ (f @ z) @ 0)),
% 0.21/0.77 inference('cnf', [status(esa)], [clause_70])).
% 0.21/0.77 thf(zip_derived_cl42, plain,
% 0.21/0.77 (( (E @ 0 @ (f @ z)) | (E @ (s @ 0) @ (f @ (suc @ z))))),
% 0.21/0.77 inference('sup-', [status(thm)], [zip_derived_cl26, zip_derived_cl1])).
% 0.21/0.77 thf(zip_derived_cl53, plain,
% 0.21/0.77 ((~ (E @ (s @ 0) @ (f @ z)) | (E @ 0 @ (f @ z)))),
% 0.21/0.77 inference('sup+', [status(thm)], [zip_derived_cl52, zip_derived_cl42])).
% 0.21/0.77 thf(zip_derived_cl20, plain,
% 0.21/0.77 (![X0 : $i]: ( (E @ (s @ 0) @ (f @ X0)) | (LE @ (f @ X0) @ (s @ 0)))),
% 0.21/0.77 inference('demod', [status(thm)], [zip_derived_cl2, zip_derived_cl4])).
% 0.21/0.77 thf(zip_derived_cl7, plain,
% 0.21/0.77 (![X0 : $i]:
% 0.21/0.77 (~ (LE @ (f @ X0) @ (s @ 0))
% 0.21/0.77 | (E @ 0 @ (f @ X0))
% 0.21/0.77 | (LE @ (f @ X0) @ 0))),
% 0.21/0.77 inference('cnf', [status(esa)], [clause_94])).
% 0.21/0.77 thf(zip_derived_cl21, plain,
% 0.21/0.77 (![X0 : $i]:
% 0.21/0.77 ( (E @ (s @ 0) @ (f @ X0))
% 0.21/0.77 | (LE @ (f @ X0) @ 0)
% 0.21/0.77 | (E @ 0 @ (f @ X0)))),
% 0.21/0.77 inference('sup-', [status(thm)], [zip_derived_cl20, zip_derived_cl7])).
% 0.21/0.77 thf(zip_derived_cl1, plain, (~ (LE @ (f @ z) @ 0)),
% 0.21/0.77 inference('cnf', [status(esa)], [clause_70])).
% 0.21/0.77 thf(zip_derived_cl40, plain,
% 0.21/0.77 (( (E @ 0 @ (f @ z)) | (E @ (s @ 0) @ (f @ z)))),
% 0.21/0.77 inference('sup-', [status(thm)], [zip_derived_cl21, zip_derived_cl1])).
% 0.21/0.77 thf(zip_derived_cl55, plain, ( (E @ 0 @ (f @ z))),
% 0.21/0.77 inference('clc', [status(thm)], [zip_derived_cl53, zip_derived_cl40])).
% 0.21/0.77 thf(zip_derived_cl89, plain, ($false),
% 0.21/0.77 inference('demod', [status(thm)], [zip_derived_cl88, zip_derived_cl55])).
% 0.21/0.77
% 0.21/0.77 % SZS output end Refutation
% 0.21/0.77
% 0.21/0.77
% 0.21/0.77 % Terminating...
% 0.21/0.85 % Runner terminated.
% 0.21/0.87 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------