TSTP Solution File: SYO680-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYO680-1 : TPTP v8.1.2. Released v7.3.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.IMd8xWgO8G true
% Computer : n024.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 05:52:32 EDT 2023
% Result : Unsatisfiable 1.03s 0.79s
% Output : Refutation 1.03s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SYO680-1 : TPTP v8.1.2. Released v7.3.0.
% 0.07/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.IMd8xWgO8G true
% 0.14/0.36 % Computer : n024.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Sat Aug 26 06:34:54 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % Running portfolio for 300 s
% 0.14/0.36 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.36 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.36 % Running in FO mode
% 0.22/0.67 % Total configuration time : 435
% 0.22/0.67 % Estimated wc time : 1092
% 0.22/0.67 % Estimated cpu time (7 cpus) : 156.0
% 0.83/0.71 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 1.03/0.73 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 1.03/0.74 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 1.03/0.76 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 1.03/0.76 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 1.03/0.76 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.03/0.76 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.03/0.79 % Solved by fo/fo1_av.sh.
% 1.03/0.79 % done 41 iterations in 0.033s
% 1.03/0.79 % SZS status Unsatisfiable for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.03/0.79 % SZS output start Refutation
% 1.03/0.79 thf(suc_type, type, suc: $i > $i).
% 1.03/0.79 thf(z_type, type, z: $i).
% 1.03/0.79 thf(f_type, type, f: $i > $i).
% 1.03/0.79 thf(LE_type, type, LE: $i > $i > $o).
% 1.03/0.79 thf(0_type, type, 0: $i).
% 1.03/0.79 thf(E_type, type, E: $i > $i > $o).
% 1.03/0.79 thf(s_type, type, s: $i > $i).
% 1.03/0.79 thf(iLEQ_type, type, iLEQ: $i > $i > $o).
% 1.03/0.79 thf(clause_66, axiom, (~( LE @ ( f @ z ) @ 0 ))).
% 1.03/0.79 thf(zip_derived_cl8, plain, (~ (LE @ (f @ z) @ 0)),
% 1.03/0.79 inference('cnf', [status(esa)], [clause_66])).
% 1.03/0.79 thf(clause_114, axiom,
% 1.03/0.79 (( ~( LE @ ( f @ ( suc @ B_60 ) ) @ ( s @ 0 ) ) ) |
% 1.03/0.79 ( E @ 0 @ ( f @ ( suc @ B_60 ) ) ) | ( LE @ ( f @ B_60 ) @ 0 ))).
% 1.03/0.79 thf(zip_derived_cl3, plain,
% 1.03/0.79 (![X0 : $i]:
% 1.03/0.79 (~ (LE @ (f @ (suc @ X0)) @ (s @ 0))
% 1.03/0.79 | (E @ 0 @ (f @ (suc @ X0)))
% 1.03/0.79 | (LE @ (f @ X0) @ 0))),
% 1.03/0.79 inference('cnf', [status(esa)], [clause_114])).
% 1.03/0.79 thf(clause_15, axiom,
% 1.03/0.79 (( ~( LE @ ( f @ ( suc @ B_53 ) ) @ ( s @ ( s @ 0 ) ) ) ) |
% 1.03/0.79 ( E @ ( s @ 0 ) @ ( f @ ( suc @ B_53 ) ) ) |
% 1.03/0.79 ( LE @ ( f @ B_53 ) @ ( s @ 0 ) ))).
% 1.03/0.79 thf(zip_derived_cl17, plain,
% 1.03/0.79 (![X0 : $i]:
% 1.03/0.79 (~ (LE @ (f @ (suc @ X0)) @ (s @ (s @ 0)))
% 1.03/0.79 | (E @ (s @ 0) @ (f @ (suc @ X0)))
% 1.03/0.79 | (LE @ (f @ X0) @ (s @ 0)))),
% 1.03/0.79 inference('cnf', [status(esa)], [clause_15])).
% 1.03/0.79 thf(clause_84, axiom,
% 1.03/0.79 (( ~( LE @ ( f @ ( suc @ B_41 ) ) @ ( s @ ( s @ ( s @ 0 ) ) ) ) ) |
% 1.03/0.79 ( E @ ( s @ ( s @ 0 ) ) @ ( f @ ( suc @ B_41 ) ) ) |
% 1.03/0.79 ( LE @ ( f @ B_41 ) @ ( s @ ( s @ 0 ) ) ))).
% 1.03/0.79 thf(zip_derived_cl9, plain,
% 1.03/0.79 (![X0 : $i]:
% 1.03/0.79 (~ (LE @ (f @ (suc @ X0)) @ (s @ (s @ (s @ 0))))
% 1.03/0.79 | (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 1.03/0.79 | (LE @ (f @ X0) @ (s @ (s @ 0))))),
% 1.03/0.79 inference('cnf', [status(esa)], [clause_84])).
% 1.03/0.79 thf(clause_71, axiom,
% 1.03/0.79 (( ~( iLEQ @ ( suc @ B_24 ) @ ( suc @ B_25 ) ) ) |
% 1.03/0.79 ( ~( E @ ( s @ ( s @ ( s @ 0 ) ) ) @ ( f @ B_25 ) ) ) |
% 1.03/0.79 ( ~( E @ ( s @ ( s @ ( s @ 0 ) ) ) @ ( f @ B_24 ) ) ) |
% 1.03/0.79 ( ~( iLEQ @ ( suc @ A_1 ) @ ( suc @ B_24 ) ) ) |
% 1.03/0.79 ( ~( E @ ( s @ ( s @ ( s @ 0 ) ) ) @ ( f @ A_1 ) ) ) |
% 1.03/0.79 ( ~( E @ ( s @ ( s @ ( s @ 0 ) ) ) @ ( f @ ( suc @ B_24 ) ) ) ) |
% 1.03/0.79 ( ~( E @ ( s @ ( s @ ( s @ 0 ) ) ) @ ( f @ ( suc @ B_25 ) ) ) ) |
% 1.03/0.79 ( ~( E @ ( s @ ( s @ ( s @ 0 ) ) ) @ ( f @ ( suc @ A_1 ) ) ) ))).
% 1.03/0.79 thf(zip_derived_cl6, plain,
% 1.03/0.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.03/0.79 (~ (iLEQ @ (suc @ X0) @ (suc @ X1))
% 1.03/0.79 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ X1))
% 1.03/0.79 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ X0))
% 1.03/0.79 | ~ (iLEQ @ (suc @ X2) @ (suc @ X0))
% 1.03/0.79 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ X2))
% 1.03/0.79 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ X0)))
% 1.03/0.79 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ X1)))
% 1.03/0.79 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ X2))))),
% 1.03/0.79 inference('cnf', [status(esa)], [clause_71])).
% 1.03/0.79 thf(zip_derived_cl67, plain,
% 1.03/0.79 (![X0 : $i]:
% 1.03/0.79 (~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ X0)))
% 1.03/0.79 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ X0)))
% 1.03/0.79 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ X0)))
% 1.03/0.79 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ X0))
% 1.03/0.79 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 1.03/0.79 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ X0))
% 1.03/0.79 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ X0)))),
% 1.03/0.79 inference('eq_fact', [status(thm)], [zip_derived_cl6])).
% 1.03/0.79 thf(zip_derived_cl68, plain,
% 1.03/0.79 (![X0 : $i]:
% 1.03/0.79 (~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 1.03/0.79 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ X0))
% 1.03/0.79 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ X0))))),
% 1.03/0.79 inference('simplify', [status(thm)], [zip_derived_cl67])).
% 1.03/0.79 thf(clause_14, axiom,
% 1.03/0.79 (( ~( E @ ( s @ ( s @ ( s @ 0 ) ) ) @ ( f @ A_1 ) ) ) |
% 1.03/0.79 ( ~( E @ ( s @ ( s @ ( s @ 0 ) ) ) @ ( f @ ( suc @ A_1 ) ) ) ) |
% 1.03/0.79 ( iLEQ @ ( suc @ A_1 ) @ ( suc @ A_1 ) ))).
% 1.03/0.79 thf(zip_derived_cl15, plain,
% 1.03/0.79 (![X0 : $i]:
% 1.03/0.79 (~ (E @ (s @ (s @ (s @ 0))) @ (f @ X0))
% 1.03/0.79 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ X0)))
% 1.03/0.79 | (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 1.03/0.79 inference('cnf', [status(esa)], [clause_14])).
% 1.03/0.79 thf(zip_derived_cl70, plain,
% 1.03/0.79 (![X0 : $i]:
% 1.03/0.79 (~ (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ X0)))
% 1.03/0.79 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ X0)))),
% 1.03/0.79 inference('clc', [status(thm)], [zip_derived_cl68, zip_derived_cl15])).
% 1.03/0.79 thf(clause_102, axiom,
% 1.03/0.79 (( ~( LE @ ( f @ ( suc @ B_23 ) ) @ ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) ) ) |
% 1.03/0.79 ( E @ ( s @ ( s @ ( s @ 0 ) ) ) @ ( f @ ( suc @ B_23 ) ) ) |
% 1.03/0.79 ( LE @ ( f @ B_23 ) @ ( s @ ( s @ ( s @ 0 ) ) ) ))).
% 1.03/0.79 thf(zip_derived_cl14, plain,
% 1.03/0.79 (![X0 : $i]:
% 1.03/0.79 (~ (LE @ (f @ (suc @ X0)) @ (s @ (s @ (s @ (s @ 0)))))
% 1.03/0.79 | (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ X0)))
% 1.03/0.79 | (LE @ (f @ X0) @ (s @ (s @ (s @ 0)))))),
% 1.03/0.79 inference('cnf', [status(esa)], [clause_102])).
% 1.03/0.79 thf(clause_104, axiom, (LE @ ( f @ A ) @ ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ))).
% 1.03/0.79 thf(zip_derived_cl1, plain,
% 1.03/0.79 (![X0 : $i]: (LE @ (f @ X0) @ (s @ (s @ (s @ (s @ 0)))))),
% 1.03/0.79 inference('cnf', [status(esa)], [clause_104])).
% 1.03/0.79 thf(zip_derived_cl48, plain,
% 1.03/0.79 (![X0 : $i]:
% 1.03/0.79 ( (E @ (s @ (s @ (s @ 0))) @ (f @ (suc @ X0)))
% 1.03/0.79 | (LE @ (f @ X0) @ (s @ (s @ (s @ 0)))))),
% 1.03/0.79 inference('demod', [status(thm)], [zip_derived_cl14, zip_derived_cl1])).
% 1.03/0.79 thf(zip_derived_cl72, plain,
% 1.03/0.79 (![X0 : $i]:
% 1.03/0.79 (~ (E @ (s @ (s @ (s @ 0))) @ (f @ X0))
% 1.03/0.79 | (LE @ (f @ X0) @ (s @ (s @ (s @ 0)))))),
% 1.03/0.79 inference('s_sup+', [status(thm)], [zip_derived_cl70, zip_derived_cl48])).
% 1.03/0.79 thf(clause_127, axiom,
% 1.03/0.79 (( ~( LE @ ( f @ B_23 ) @ ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) ) ) |
% 1.03/0.79 ( E @ ( s @ ( s @ ( s @ 0 ) ) ) @ ( f @ B_23 ) ) |
% 1.03/0.79 ( LE @ ( f @ B_23 ) @ ( s @ ( s @ ( s @ 0 ) ) ) ))).
% 1.03/0.79 thf(zip_derived_cl11, plain,
% 1.03/0.79 (![X0 : $i]:
% 1.03/0.79 (~ (LE @ (f @ X0) @ (s @ (s @ (s @ (s @ 0)))))
% 1.03/0.79 | (E @ (s @ (s @ (s @ 0))) @ (f @ X0))
% 1.03/0.79 | (LE @ (f @ X0) @ (s @ (s @ (s @ 0)))))),
% 1.03/0.79 inference('cnf', [status(esa)], [clause_127])).
% 1.03/0.79 thf(zip_derived_cl1, plain,
% 1.03/0.79 (![X0 : $i]: (LE @ (f @ X0) @ (s @ (s @ (s @ (s @ 0)))))),
% 1.03/0.79 inference('cnf', [status(esa)], [clause_104])).
% 1.03/0.79 thf(zip_derived_cl28, plain,
% 1.03/0.79 (![X0 : $i]:
% 1.03/0.79 ( (E @ (s @ (s @ (s @ 0))) @ (f @ X0))
% 1.03/0.79 | (LE @ (f @ X0) @ (s @ (s @ (s @ 0)))))),
% 1.03/0.79 inference('demod', [status(thm)], [zip_derived_cl11, zip_derived_cl1])).
% 1.03/0.79 thf(zip_derived_cl75, plain,
% 1.03/0.79 (![X0 : $i]: (LE @ (f @ X0) @ (s @ (s @ (s @ 0))))),
% 1.03/0.79 inference('clc', [status(thm)], [zip_derived_cl72, zip_derived_cl28])).
% 1.03/0.79 thf(zip_derived_cl76, plain,
% 1.03/0.79 (![X0 : $i]:
% 1.03/0.79 ( (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 1.03/0.79 | (LE @ (f @ X0) @ (s @ (s @ 0))))),
% 1.03/0.79 inference('demod', [status(thm)], [zip_derived_cl9, zip_derived_cl75])).
% 1.03/0.79 thf(clause_20, axiom,
% 1.03/0.79 (( ~( E @ ( s @ ( s @ 0 ) ) @ ( f @ ( suc @ B_42 ) ) ) ) |
% 1.03/0.79 ( ~( E @ ( s @ ( s @ 0 ) ) @ ( f @ B_42 ) ) ) |
% 1.03/0.79 ( ~( iLEQ @ ( suc @ B_42 ) @ ( suc @ B_43 ) ) ) |
% 1.03/0.79 ( ~( E @ ( s @ ( s @ 0 ) ) @ ( f @ ( suc @ A_2 ) ) ) ) |
% 1.03/0.79 ( ~( E @ ( s @ ( s @ 0 ) ) @ ( f @ ( suc @ B_43 ) ) ) ) |
% 1.03/0.79 ( ~( iLEQ @ ( suc @ A_2 ) @ ( suc @ B_42 ) ) ) |
% 1.03/0.79 ( ~( E @ ( s @ ( s @ 0 ) ) @ ( f @ B_43 ) ) ) |
% 1.03/0.79 ( ~( E @ ( s @ ( s @ 0 ) ) @ ( f @ A_2 ) ) ))).
% 1.03/0.79 thf(zip_derived_cl5, plain,
% 1.03/0.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.03/0.79 (~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 1.03/0.79 | ~ (E @ (s @ (s @ 0)) @ (f @ X0))
% 1.03/0.79 | ~ (iLEQ @ (suc @ X0) @ (suc @ X1))
% 1.03/0.79 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X2)))
% 1.03/0.79 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X1)))
% 1.03/0.79 | ~ (iLEQ @ (suc @ X2) @ (suc @ X0))
% 1.03/0.79 | ~ (E @ (s @ (s @ 0)) @ (f @ X1))
% 1.03/0.79 | ~ (E @ (s @ (s @ 0)) @ (f @ X2)))),
% 1.03/0.79 inference('cnf', [status(esa)], [clause_20])).
% 1.03/0.79 thf(zip_derived_cl34, plain,
% 1.03/0.79 (![X0 : $i]:
% 1.03/0.79 (~ (E @ (s @ (s @ 0)) @ (f @ X0))
% 1.03/0.79 | ~ (E @ (s @ (s @ 0)) @ (f @ X0))
% 1.03/0.79 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 1.03/0.79 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 1.03/0.79 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 1.03/0.79 | ~ (E @ (s @ (s @ 0)) @ (f @ X0))
% 1.03/0.79 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0))))),
% 1.03/0.79 inference('eq_fact', [status(thm)], [zip_derived_cl5])).
% 1.03/0.79 thf(zip_derived_cl35, plain,
% 1.03/0.79 (![X0 : $i]:
% 1.03/0.79 (~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 1.03/0.79 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 1.03/0.79 | ~ (E @ (s @ (s @ 0)) @ (f @ X0)))),
% 1.03/0.79 inference('simplify', [status(thm)], [zip_derived_cl34])).
% 1.03/0.79 thf(clause_5, axiom,
% 1.03/0.79 (( ~( E @ ( s @ ( s @ 0 ) ) @ ( f @ A_2 ) ) ) |
% 1.03/0.79 ( ~( E @ ( s @ ( s @ 0 ) ) @ ( f @ ( suc @ A_2 ) ) ) ) |
% 1.03/0.79 ( iLEQ @ ( suc @ A_2 ) @ ( suc @ A_2 ) ))).
% 1.03/0.79 thf(zip_derived_cl4, plain,
% 1.03/0.79 (![X0 : $i]:
% 1.03/0.79 (~ (E @ (s @ (s @ 0)) @ (f @ X0))
% 1.03/0.79 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 1.03/0.79 | (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 1.03/0.79 inference('cnf', [status(esa)], [clause_5])).
% 1.03/0.79 thf(zip_derived_cl39, plain,
% 1.03/0.79 (![X0 : $i]:
% 1.03/0.79 (~ (E @ (s @ (s @ 0)) @ (f @ X0))
% 1.03/0.79 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0))))),
% 1.03/0.79 inference('clc', [status(thm)], [zip_derived_cl35, zip_derived_cl4])).
% 1.03/0.79 thf(zip_derived_cl80, plain,
% 1.03/0.79 (![X0 : $i]:
% 1.03/0.79 ( (LE @ (f @ X0) @ (s @ (s @ 0))) | ~ (E @ (s @ (s @ 0)) @ (f @ X0)))),
% 1.03/0.79 inference('s_sup-', [status(thm)], [zip_derived_cl76, zip_derived_cl39])).
% 1.03/0.79 thf(clause_51, axiom,
% 1.03/0.79 (( ~( LE @ ( f @ B_41 ) @ ( s @ ( s @ ( s @ 0 ) ) ) ) ) |
% 1.03/0.79 ( E @ ( s @ ( s @ 0 ) ) @ ( f @ B_41 ) ) |
% 1.03/0.79 ( LE @ ( f @ B_41 ) @ ( s @ ( s @ 0 ) ) ))).
% 1.03/0.79 thf(zip_derived_cl12, plain,
% 1.03/0.79 (![X0 : $i]:
% 1.03/0.79 (~ (LE @ (f @ X0) @ (s @ (s @ (s @ 0))))
% 1.03/0.79 | (E @ (s @ (s @ 0)) @ (f @ X0))
% 1.03/0.79 | (LE @ (f @ X0) @ (s @ (s @ 0))))),
% 1.03/0.79 inference('cnf', [status(esa)], [clause_51])).
% 1.03/0.79 thf(zip_derived_cl75, plain,
% 1.03/0.79 (![X0 : $i]: (LE @ (f @ X0) @ (s @ (s @ (s @ 0))))),
% 1.03/0.79 inference('clc', [status(thm)], [zip_derived_cl72, zip_derived_cl28])).
% 1.03/0.79 thf(zip_derived_cl77, plain,
% 1.03/0.79 (![X0 : $i]:
% 1.03/0.79 ( (E @ (s @ (s @ 0)) @ (f @ X0)) | (LE @ (f @ X0) @ (s @ (s @ 0))))),
% 1.03/0.79 inference('demod', [status(thm)], [zip_derived_cl12, zip_derived_cl75])).
% 1.03/0.79 thf(zip_derived_cl81, plain, (![X0 : $i]: (LE @ (f @ X0) @ (s @ (s @ 0)))),
% 1.03/0.79 inference('clc', [status(thm)], [zip_derived_cl80, zip_derived_cl77])).
% 1.03/0.79 thf(zip_derived_cl83, plain,
% 1.03/0.79 (![X0 : $i]:
% 1.03/0.79 ( (E @ (s @ 0) @ (f @ (suc @ X0))) | (LE @ (f @ X0) @ (s @ 0)))),
% 1.03/0.79 inference('demod', [status(thm)], [zip_derived_cl17, zip_derived_cl81])).
% 1.03/0.79 thf(clause_21, axiom,
% 1.03/0.79 (( ~( iLEQ @ ( suc @ B_54 ) @ ( suc @ B_55 ) ) ) |
% 1.03/0.79 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ A_3 ) ) ) ) |
% 1.03/0.79 ( ~( iLEQ @ ( suc @ A_3 ) @ ( suc @ B_54 ) ) ) |
% 1.03/0.79 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ B_55 ) ) ) ) |
% 1.03/0.79 ( ~( E @ ( s @ 0 ) @ ( f @ A_3 ) ) ) |
% 1.03/0.79 ( ~( E @ ( s @ 0 ) @ ( f @ B_55 ) ) ) |
% 1.03/0.79 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ B_54 ) ) ) ) |
% 1.03/0.79 ( ~( E @ ( s @ 0 ) @ ( f @ B_54 ) ) ))).
% 1.03/0.79 thf(zip_derived_cl13, plain,
% 1.03/0.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.03/0.79 (~ (iLEQ @ (suc @ X0) @ (suc @ X1))
% 1.03/0.79 | ~ (E @ (s @ 0) @ (f @ (suc @ X2)))
% 1.03/0.79 | ~ (iLEQ @ (suc @ X2) @ (suc @ X0))
% 1.03/0.79 | ~ (E @ (s @ 0) @ (f @ (suc @ X1)))
% 1.03/0.79 | ~ (E @ (s @ 0) @ (f @ X2))
% 1.03/0.79 | ~ (E @ (s @ 0) @ (f @ X1))
% 1.03/0.79 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 1.03/0.79 | ~ (E @ (s @ 0) @ (f @ X0)))),
% 1.03/0.79 inference('cnf', [status(esa)], [clause_21])).
% 1.03/0.79 thf(zip_derived_cl56, plain,
% 1.03/0.79 (![X0 : $i]:
% 1.03/0.79 (~ (E @ (s @ 0) @ (f @ X0))
% 1.03/0.79 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 1.03/0.79 | ~ (E @ (s @ 0) @ (f @ X0))
% 1.03/0.79 | ~ (E @ (s @ 0) @ (f @ X0))
% 1.03/0.79 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 1.03/0.79 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 1.03/0.79 | ~ (E @ (s @ 0) @ (f @ (suc @ X0))))),
% 1.03/0.79 inference('eq_fact', [status(thm)], [zip_derived_cl13])).
% 1.03/0.79 thf(zip_derived_cl57, plain,
% 1.03/0.79 (![X0 : $i]:
% 1.03/0.79 (~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 1.03/0.79 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 1.03/0.79 | ~ (E @ (s @ 0) @ (f @ X0)))),
% 1.03/0.79 inference('simplify', [status(thm)], [zip_derived_cl56])).
% 1.03/0.79 thf(clause_91, axiom,
% 1.03/0.79 (( ~( E @ ( s @ 0 ) @ ( f @ A_3 ) ) ) |
% 1.03/0.79 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ A_3 ) ) ) ) |
% 1.03/0.79 ( iLEQ @ ( suc @ A_3 ) @ ( suc @ A_3 ) ))).
% 1.03/0.79 thf(zip_derived_cl2, plain,
% 1.03/0.79 (![X0 : $i]:
% 1.03/0.79 (~ (E @ (s @ 0) @ (f @ X0))
% 1.03/0.79 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 1.03/0.79 | (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 1.03/0.79 inference('cnf', [status(esa)], [clause_91])).
% 1.03/0.79 thf(zip_derived_cl60, plain,
% 1.03/0.79 (![X0 : $i]:
% 1.03/0.79 (~ (E @ (s @ 0) @ (f @ X0)) | ~ (E @ (s @ 0) @ (f @ (suc @ X0))))),
% 1.03/0.79 inference('clc', [status(thm)], [zip_derived_cl57, zip_derived_cl2])).
% 1.03/0.79 thf(zip_derived_cl86, plain,
% 1.03/0.79 (![X0 : $i]: ( (LE @ (f @ X0) @ (s @ 0)) | ~ (E @ (s @ 0) @ (f @ X0)))),
% 1.03/0.79 inference('s_sup-', [status(thm)], [zip_derived_cl83, zip_derived_cl60])).
% 1.03/0.79 thf(clause_6, axiom,
% 1.03/0.79 (( ~( LE @ ( f @ B_53 ) @ ( s @ ( s @ 0 ) ) ) ) |
% 1.03/0.79 ( E @ ( s @ 0 ) @ ( f @ B_53 ) ) | ( LE @ ( f @ B_53 ) @ ( s @ 0 ) ))).
% 1.03/0.79 thf(zip_derived_cl7, plain,
% 1.03/0.79 (![X0 : $i]:
% 1.03/0.79 (~ (LE @ (f @ X0) @ (s @ (s @ 0)))
% 1.03/0.79 | (E @ (s @ 0) @ (f @ X0))
% 1.03/0.79 | (LE @ (f @ X0) @ (s @ 0)))),
% 1.03/0.79 inference('cnf', [status(esa)], [clause_6])).
% 1.03/0.79 thf(zip_derived_cl81, plain, (![X0 : $i]: (LE @ (f @ X0) @ (s @ (s @ 0)))),
% 1.03/0.79 inference('clc', [status(thm)], [zip_derived_cl80, zip_derived_cl77])).
% 1.03/0.79 thf(zip_derived_cl82, plain,
% 1.03/0.79 (![X0 : $i]: ( (E @ (s @ 0) @ (f @ X0)) | (LE @ (f @ X0) @ (s @ 0)))),
% 1.03/0.79 inference('demod', [status(thm)], [zip_derived_cl7, zip_derived_cl81])).
% 1.03/0.79 thf(zip_derived_cl87, plain, (![X0 : $i]: (LE @ (f @ X0) @ (s @ 0))),
% 1.03/0.79 inference('clc', [status(thm)], [zip_derived_cl86, zip_derived_cl82])).
% 1.03/0.79 thf(zip_derived_cl88, plain,
% 1.03/0.79 (![X0 : $i]: ( (E @ 0 @ (f @ (suc @ X0))) | (LE @ (f @ X0) @ 0))),
% 1.03/0.79 inference('demod', [status(thm)], [zip_derived_cl3, zip_derived_cl87])).
% 1.03/0.79 thf(clause_144, axiom,
% 1.03/0.79 (( ~( E @ 0 @ ( f @ ( suc @ B_61 ) ) ) ) |
% 1.03/0.79 ( ~( iLEQ @ ( suc @ B_61 ) @ ( suc @ B_62 ) ) ) |
% 1.03/0.79 ( ~( iLEQ @ ( suc @ A_4 ) @ ( suc @ B_61 ) ) ) |
% 1.03/0.79 ( ~( E @ 0 @ ( f @ ( suc @ B_62 ) ) ) ) | ( ~( E @ 0 @ ( f @ B_61 ) ) ) |
% 1.03/0.79 ( ~( E @ 0 @ ( f @ ( suc @ A_4 ) ) ) ) | ( ~( E @ 0 @ ( f @ B_62 ) ) ) |
% 1.03/0.79 ( ~( E @ 0 @ ( f @ A_4 ) ) ))).
% 1.03/0.79 thf(zip_derived_cl10, plain,
% 1.03/0.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.03/0.79 (~ (E @ 0 @ (f @ (suc @ X0)))
% 1.03/0.79 | ~ (iLEQ @ (suc @ X0) @ (suc @ X1))
% 1.03/0.79 | ~ (iLEQ @ (suc @ X2) @ (suc @ X0))
% 1.03/0.79 | ~ (E @ 0 @ (f @ (suc @ X1)))
% 1.03/0.79 | ~ (E @ 0 @ (f @ X0))
% 1.03/0.79 | ~ (E @ 0 @ (f @ (suc @ X2)))
% 1.03/0.79 | ~ (E @ 0 @ (f @ X1))
% 1.03/0.79 | ~ (E @ 0 @ (f @ X2)))),
% 1.03/0.79 inference('cnf', [status(esa)], [clause_144])).
% 1.03/0.79 thf(zip_derived_cl20, plain,
% 1.03/0.79 (![X0 : $i]:
% 1.03/0.79 (~ (E @ 0 @ (f @ X0))
% 1.03/0.79 | ~ (E @ 0 @ (f @ X0))
% 1.03/0.79 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 1.03/0.79 | ~ (E @ 0 @ (f @ X0))
% 1.03/0.79 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 1.03/0.79 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 1.03/0.79 | ~ (E @ 0 @ (f @ (suc @ X0))))),
% 1.03/0.79 inference('eq_fact', [status(thm)], [zip_derived_cl10])).
% 1.03/0.79 thf(zip_derived_cl21, plain,
% 1.03/0.79 (![X0 : $i]:
% 1.03/0.79 (~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 1.03/0.79 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 1.03/0.79 | ~ (E @ 0 @ (f @ X0)))),
% 1.03/0.79 inference('simplify', [status(thm)], [zip_derived_cl20])).
% 1.03/0.79 thf(clause_109, axiom,
% 1.03/0.79 (( ~( E @ 0 @ ( f @ A_4 ) ) ) | ( ~( E @ 0 @ ( f @ ( suc @ A_4 ) ) ) ) |
% 1.03/0.79 ( iLEQ @ ( suc @ A_4 ) @ ( suc @ A_4 ) ))).
% 1.03/0.79 thf(zip_derived_cl0, plain,
% 1.03/0.79 (![X0 : $i]:
% 1.03/0.79 (~ (E @ 0 @ (f @ X0))
% 1.03/0.79 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 1.03/0.79 | (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 1.03/0.79 inference('cnf', [status(esa)], [clause_109])).
% 1.03/0.79 thf(zip_derived_cl24, plain,
% 1.03/0.79 (![X0 : $i]: (~ (E @ 0 @ (f @ X0)) | ~ (E @ 0 @ (f @ (suc @ X0))))),
% 1.03/0.79 inference('clc', [status(thm)], [zip_derived_cl21, zip_derived_cl0])).
% 1.03/0.79 thf(zip_derived_cl99, plain,
% 1.03/0.79 (![X0 : $i]: ( (LE @ (f @ X0) @ 0) | ~ (E @ 0 @ (f @ X0)))),
% 1.03/0.79 inference('s_sup-', [status(thm)], [zip_derived_cl88, zip_derived_cl24])).
% 1.03/0.79 thf(clause_96, axiom,
% 1.03/0.79 (( ~( LE @ ( f @ B_60 ) @ ( s @ 0 ) ) ) | ( E @ 0 @ ( f @ B_60 ) ) |
% 1.03/0.79 ( LE @ ( f @ B_60 ) @ 0 ))).
% 1.03/0.79 thf(zip_derived_cl16, plain,
% 1.03/0.79 (![X0 : $i]:
% 1.03/0.79 (~ (LE @ (f @ X0) @ (s @ 0))
% 1.03/0.79 | (E @ 0 @ (f @ X0))
% 1.03/0.79 | (LE @ (f @ X0) @ 0))),
% 1.03/0.79 inference('cnf', [status(esa)], [clause_96])).
% 1.03/0.79 thf(zip_derived_cl87, plain, (![X0 : $i]: (LE @ (f @ X0) @ (s @ 0))),
% 1.03/0.79 inference('clc', [status(thm)], [zip_derived_cl86, zip_derived_cl82])).
% 1.03/0.79 thf(zip_derived_cl89, plain,
% 1.03/0.79 (![X0 : $i]: ( (E @ 0 @ (f @ X0)) | (LE @ (f @ X0) @ 0))),
% 1.03/0.79 inference('demod', [status(thm)], [zip_derived_cl16, zip_derived_cl87])).
% 1.03/0.79 thf(zip_derived_cl100, plain, (![X0 : $i]: (LE @ (f @ X0) @ 0)),
% 1.03/0.79 inference('clc', [status(thm)], [zip_derived_cl99, zip_derived_cl89])).
% 1.03/0.79 thf(zip_derived_cl101, plain, ($false),
% 1.03/0.79 inference('demod', [status(thm)], [zip_derived_cl8, zip_derived_cl100])).
% 1.03/0.79
% 1.03/0.79 % SZS output end Refutation
% 1.03/0.79
% 1.03/0.79
% 1.03/0.79 % Terminating...
% 1.36/0.86 % Runner terminated.
% 1.36/0.87 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------