TSTP Solution File: SYO661-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYO661-1 : 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.1R9nUztDru true
% Computer : n029.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 1.37s 0.84s
% Output : Refutation 1.37s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SYO661-1 : TPTP v8.1.2. Released v7.3.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.1R9nUztDru true
% 0.15/0.35 % Computer : n029.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Sat Aug 26 07:35:24 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.15/0.35 % Running portfolio for 300 s
% 0.15/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.36 % Number of cores: 8
% 0.15/0.36 % Python version: Python 3.6.8
% 0.15/0.36 % Running in FO mode
% 0.23/0.64 % Total configuration time : 435
% 0.23/0.64 % Estimated wc time : 1092
% 0.23/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.23/0.71 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.23/0.75 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.23/0.75 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.23/0.75 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.94/0.75 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.94/0.76 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.94/0.76 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.37/0.84 % Solved by fo/fo3_bce.sh.
% 1.37/0.84 % BCE start: 28
% 1.37/0.84 % BCE eliminated: 0
% 1.37/0.84 % PE start: 28
% 1.37/0.84 logic: neq
% 1.37/0.84 % PE eliminated: 0
% 1.37/0.84 % done 54 iterations in 0.067s
% 1.37/0.84 % SZS status Unsatisfiable for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.37/0.84 % SZS output start Refutation
% 1.37/0.84 thf(z_type, type, z: $i).
% 1.37/0.84 thf(f_type, type, f: $i > $i).
% 1.37/0.84 thf(iLEQ_type, type, iLEQ: $i > $i > $o).
% 1.37/0.84 thf(LE_type, type, LE: $i > $i > $o).
% 1.37/0.84 thf(0_type, type, 0: $i).
% 1.37/0.84 thf(suc_type, type, suc: $i > $i).
% 1.37/0.84 thf(s_type, type, s: $i > $i).
% 1.37/0.84 thf(E_type, type, E: $i > $i > $o).
% 1.37/0.84 thf(clause_93, axiom, (~( LE @ ( f @ z ) @ 0 ))).
% 1.37/0.84 thf(zip_derived_cl0, plain, (~ (LE @ (f @ z) @ 0)),
% 1.37/0.84 inference('cnf', [status(esa)], [clause_93])).
% 1.37/0.84 thf(clause_0, axiom,
% 1.37/0.84 (( ~( LE @ ( f @ B_17 ) @ ( s @ 0 ) ) ) | ( E @ 0 @ ( f @ B_17 ) ) |
% 1.37/0.84 ( LE @ ( f @ B_17 ) @ 0 ))).
% 1.37/0.84 thf(zip_derived_cl8, plain,
% 1.37/0.84 (![X0 : $i]:
% 1.37/0.84 (~ (LE @ (f @ X0) @ (s @ 0))
% 1.37/0.84 | (E @ 0 @ (f @ X0))
% 1.37/0.84 | (LE @ (f @ X0) @ 0))),
% 1.37/0.84 inference('cnf', [status(esa)], [clause_0])).
% 1.37/0.84 thf(clause_57, axiom,
% 1.37/0.84 (( ~( LE @ ( f @ ( suc @ B_17 ) ) @ ( s @ 0 ) ) ) |
% 1.37/0.84 ( E @ 0 @ ( f @ ( suc @ B_17 ) ) ) | ( LE @ ( f @ B_17 ) @ 0 ))).
% 1.37/0.84 thf(zip_derived_cl7, plain,
% 1.37/0.84 (![X0 : $i]:
% 1.37/0.84 (~ (LE @ (f @ (suc @ X0)) @ (s @ 0))
% 1.37/0.84 | (E @ 0 @ (f @ (suc @ X0)))
% 1.37/0.84 | (LE @ (f @ X0) @ 0))),
% 1.37/0.84 inference('cnf', [status(esa)], [clause_57])).
% 1.37/0.84 thf(clause_204, axiom,
% 1.37/0.84 (( ~( E @ 0 @ ( f @ ( suc @ ( suc @ B_18 ) ) ) ) ) |
% 1.37/0.84 ( ~( E @ 0 @ ( f @ ( suc @ A_2 ) ) ) ) |
% 1.37/0.84 ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ A_2 ) ) ) ) ) |
% 1.37/0.84 ( ~( E @ 0 @ ( f @ ( suc @ B_19 ) ) ) ) |
% 1.37/0.84 ( ~( iLEQ @ ( suc @ B_18 ) @ ( suc @ B_19 ) ) ) |
% 1.37/0.84 ( ~( E @ 0 @ ( f @ A_2 ) ) ) | ( ~( E @ 0 @ ( f @ B_19 ) ) ) |
% 1.37/0.84 ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ B_19 ) ) ) ) ) |
% 1.37/0.84 ( ~( E @ ( f @ B_18 ) @ ( f @ ( suc @ B_18 ) ) ) ) |
% 1.37/0.84 ( ~( E @ 0 @ ( f @ B_18 ) ) ) | ( ~( E @ 0 @ ( f @ ( suc @ B_18 ) ) ) ) |
% 1.37/0.84 ( ~( E @ ( f @ B_19 ) @ ( f @ ( suc @ B_19 ) ) ) ) |
% 1.37/0.84 ( ~( iLEQ @ ( suc @ A_2 ) @ ( suc @ B_18 ) ) ) |
% 1.37/0.84 ( ~( E @ ( f @ A_2 ) @ ( f @ ( suc @ A_2 ) ) ) ))).
% 1.37/0.84 thf(zip_derived_cl17, plain,
% 1.37/0.84 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.37/0.84 (~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 1.37/0.84 | ~ (E @ 0 @ (f @ (suc @ X1)))
% 1.37/0.84 | ~ (E @ 0 @ (f @ (suc @ (suc @ X1))))
% 1.37/0.84 | ~ (E @ 0 @ (f @ (suc @ X2)))
% 1.37/0.84 | ~ (iLEQ @ (suc @ X0) @ (suc @ X2))
% 1.37/0.84 | ~ (E @ 0 @ (f @ X1))
% 1.37/0.84 | ~ (E @ 0 @ (f @ X2))
% 1.37/0.84 | ~ (E @ 0 @ (f @ (suc @ (suc @ X2))))
% 1.37/0.84 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.37/0.84 | ~ (E @ 0 @ (f @ X0))
% 1.37/0.84 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 1.37/0.84 | ~ (E @ (f @ X2) @ (f @ (suc @ X2)))
% 1.37/0.84 | ~ (iLEQ @ (suc @ X1) @ (suc @ X0))
% 1.37/0.84 | ~ (E @ (f @ X1) @ (f @ (suc @ X1))))),
% 1.37/0.84 inference('cnf', [status(esa)], [clause_204])).
% 1.37/0.84 thf(zip_derived_cl128, plain,
% 1.37/0.84 (![X0 : $i]:
% 1.37/0.84 (~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.37/0.84 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 1.37/0.84 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.37/0.84 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 1.37/0.84 | ~ (E @ 0 @ (f @ X0))
% 1.37/0.84 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.37/0.84 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 1.37/0.84 | ~ (E @ 0 @ (f @ X0))
% 1.37/0.84 | ~ (E @ 0 @ (f @ X0))
% 1.37/0.84 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 1.37/0.84 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 1.37/0.84 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 1.37/0.84 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0)))))),
% 1.37/0.84 inference('eq_fact', [status(thm)], [zip_derived_cl17])).
% 1.37/0.84 thf(zip_derived_cl129, plain,
% 1.37/0.84 (![X0 : $i]:
% 1.37/0.84 (~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 1.37/0.84 | ~ (E @ 0 @ (f @ X0))
% 1.37/0.84 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 1.37/0.84 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 1.37/0.84 | ~ (E @ (f @ X0) @ (f @ (suc @ X0))))),
% 1.37/0.84 inference('simplify', [status(thm)], [zip_derived_cl128])).
% 1.37/0.84 thf(clause_148, axiom,
% 1.37/0.84 (( ~( E @ 0 @ ( f @ ( suc @ ( suc @ A_2 ) ) ) ) ) |
% 1.37/0.84 ( ~( E @ 0 @ ( f @ ( suc @ A_2 ) ) ) ) |
% 1.37/0.84 ( ~( E @ ( f @ A_2 ) @ ( f @ ( suc @ A_2 ) ) ) ) |
% 1.37/0.84 ( ~( E @ 0 @ ( f @ A_2 ) ) ) | ( iLEQ @ ( suc @ A_2 ) @ ( suc @ A_2 ) ))).
% 1.37/0.84 thf(zip_derived_cl21, plain,
% 1.37/0.84 (![X0 : $i]:
% 1.37/0.84 (~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 1.37/0.84 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 1.37/0.84 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.37/0.84 | ~ (E @ 0 @ (f @ X0))
% 1.37/0.84 | (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 1.37/0.84 inference('cnf', [status(esa)], [clause_148])).
% 1.37/0.84 thf(clause_109, axiom,
% 1.37/0.84 (( ~( E @ 0 @ ( f @ A_2 ) ) ) | ( ~( E @ 0 @ ( f @ ( suc @ A_2 ) ) ) ) |
% 1.37/0.84 ( E @ ( f @ A_2 ) @ ( f @ ( suc @ A_2 ) ) ) |
% 1.37/0.84 ( iLEQ @ ( suc @ A_2 ) @ ( suc @ A_2 ) ))).
% 1.37/0.84 thf(zip_derived_cl14, plain,
% 1.37/0.84 (![X0 : $i]:
% 1.37/0.84 (~ (E @ 0 @ (f @ X0))
% 1.37/0.84 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 1.37/0.84 | (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.37/0.84 | (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 1.37/0.84 inference('cnf', [status(esa)], [clause_109])).
% 1.37/0.84 thf(zip_derived_cl33, plain,
% 1.37/0.84 (![X0 : $i]:
% 1.37/0.84 ( (iLEQ @ (suc @ X0) @ (suc @ X0))
% 1.37/0.84 | ~ (E @ 0 @ (f @ X0))
% 1.37/0.84 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 1.37/0.84 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0)))))),
% 1.37/0.84 inference('clc', [status(thm)], [zip_derived_cl21, zip_derived_cl14])).
% 1.37/0.84 thf(zip_derived_cl132, plain,
% 1.37/0.84 (![X0 : $i]:
% 1.37/0.84 (~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.37/0.84 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 1.37/0.84 | ~ (E @ 0 @ (f @ X0))
% 1.37/0.84 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0)))))),
% 1.37/0.84 inference('clc', [status(thm)], [zip_derived_cl129, zip_derived_cl33])).
% 1.37/0.84 thf(clause_20, axiom,
% 1.37/0.84 (( ~( E @ 0 @ ( f @ ( suc @ A_2 ) ) ) ) |
% 1.37/0.84 ( ~( E @ 0 @ ( f @ ( suc @ B_19 ) ) ) ) |
% 1.37/0.84 ( ~( iLEQ @ ( suc @ B_18 ) @ ( suc @ B_19 ) ) ) |
% 1.37/0.84 ( ~( E @ 0 @ ( f @ A_2 ) ) ) | ( ~( E @ 0 @ ( f @ B_19 ) ) ) |
% 1.37/0.84 ( ~( E @ 0 @ ( f @ B_18 ) ) ) | ( ~( E @ 0 @ ( f @ ( suc @ B_18 ) ) ) ) |
% 1.37/0.84 ( ~( iLEQ @ ( suc @ A_2 ) @ ( suc @ B_18 ) ) ) |
% 1.37/0.84 ( E @ ( f @ A_2 ) @ ( f @ ( suc @ A_2 ) ) ) |
% 1.37/0.84 ( E @ ( f @ B_18 ) @ ( f @ ( suc @ B_18 ) ) ) |
% 1.37/0.84 ( E @ ( f @ B_19 ) @ ( f @ ( suc @ B_19 ) ) ))).
% 1.37/0.84 thf(zip_derived_cl19, plain,
% 1.37/0.84 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.37/0.84 (~ (E @ 0 @ (f @ (suc @ X0)))
% 1.37/0.84 | ~ (E @ 0 @ (f @ (suc @ X1)))
% 1.37/0.84 | ~ (iLEQ @ (suc @ X2) @ (suc @ X1))
% 1.37/0.84 | ~ (E @ 0 @ (f @ X0))
% 1.37/0.84 | ~ (E @ 0 @ (f @ X1))
% 1.37/0.84 | ~ (E @ 0 @ (f @ X2))
% 1.37/0.84 | ~ (E @ 0 @ (f @ (suc @ X2)))
% 1.37/0.84 | ~ (iLEQ @ (suc @ X0) @ (suc @ X2))
% 1.37/0.84 | (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.37/0.84 | (E @ (f @ X2) @ (f @ (suc @ X2)))
% 1.37/0.84 | (E @ (f @ X1) @ (f @ (suc @ X1))))),
% 1.37/0.84 inference('cnf', [status(esa)], [clause_20])).
% 1.37/0.84 thf(zip_derived_cl76, plain,
% 1.37/0.84 (![X0 : $i]:
% 1.37/0.84 ( (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.37/0.84 | (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.37/0.84 | (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.37/0.84 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 1.37/0.84 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 1.37/0.84 | ~ (E @ 0 @ (f @ X0))
% 1.37/0.84 | ~ (E @ 0 @ (f @ X0))
% 1.37/0.84 | ~ (E @ 0 @ (f @ X0))
% 1.37/0.84 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 1.37/0.84 | ~ (E @ 0 @ (f @ (suc @ X0))))),
% 1.37/0.84 inference('eq_fact', [status(thm)], [zip_derived_cl19])).
% 1.37/0.84 thf(zip_derived_cl77, plain,
% 1.37/0.84 (![X0 : $i]:
% 1.37/0.84 (~ (E @ 0 @ (f @ X0))
% 1.37/0.84 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 1.37/0.84 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 1.37/0.84 | (E @ (f @ X0) @ (f @ (suc @ X0))))),
% 1.37/0.84 inference('simplify', [status(thm)], [zip_derived_cl76])).
% 1.37/0.84 thf(zip_derived_cl14, plain,
% 1.37/0.84 (![X0 : $i]:
% 1.37/0.84 (~ (E @ 0 @ (f @ X0))
% 1.37/0.84 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 1.37/0.84 | (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.37/0.84 | (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 1.37/0.84 inference('cnf', [status(esa)], [clause_109])).
% 1.37/0.84 thf(zip_derived_cl117, plain,
% 1.37/0.84 (![X0 : $i]:
% 1.37/0.84 ( (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.37/0.84 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 1.37/0.84 | ~ (E @ 0 @ (f @ X0)))),
% 1.37/0.84 inference('clc', [status(thm)], [zip_derived_cl77, zip_derived_cl14])).
% 1.37/0.84 thf(zip_derived_cl133, plain,
% 1.37/0.84 (![X0 : $i]:
% 1.37/0.84 (~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 1.37/0.84 | ~ (E @ 0 @ (f @ X0))
% 1.37/0.84 | ~ (E @ 0 @ (f @ (suc @ X0))))),
% 1.37/0.84 inference('clc', [status(thm)], [zip_derived_cl132, zip_derived_cl117])).
% 1.37/0.84 thf(clause_51, axiom,
% 1.37/0.84 (( ~( LE @ ( f @ ( suc @ ( suc @ B_17 ) ) ) @ ( s @ 0 ) ) ) |
% 1.37/0.84 ( E @ 0 @ ( f @ ( suc @ ( suc @ B_17 ) ) ) ) | ( LE @ ( f @ B_17 ) @ 0 ))).
% 1.37/0.84 thf(zip_derived_cl2, plain,
% 1.37/0.84 (![X0 : $i]:
% 1.37/0.84 (~ (LE @ (f @ (suc @ (suc @ X0))) @ (s @ 0))
% 1.37/0.84 | (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 1.37/0.84 | (LE @ (f @ X0) @ 0))),
% 1.37/0.84 inference('cnf', [status(esa)], [clause_51])).
% 1.37/0.84 thf(zip_derived_cl134, plain,
% 1.37/0.84 (![X0 : $i]:
% 1.37/0.84 (~ (E @ 0 @ (f @ (suc @ X0)))
% 1.37/0.84 | ~ (E @ 0 @ (f @ X0))
% 1.37/0.84 | (LE @ (f @ X0) @ 0)
% 1.37/0.84 | ~ (LE @ (f @ (suc @ (suc @ X0))) @ (s @ 0)))),
% 1.37/0.84 inference('sup+', [status(thm)], [zip_derived_cl133, zip_derived_cl2])).
% 1.37/0.84 thf(zip_derived_cl144, plain,
% 1.37/0.84 (![X0 : $i]:
% 1.37/0.84 ( (LE @ (f @ X0) @ 0)
% 1.37/0.84 | ~ (LE @ (f @ (suc @ X0)) @ (s @ 0))
% 1.37/0.84 | ~ (LE @ (f @ (suc @ (suc @ X0))) @ (s @ 0))
% 1.37/0.84 | (LE @ (f @ X0) @ 0)
% 1.37/0.84 | ~ (E @ 0 @ (f @ X0)))),
% 1.37/0.84 inference('sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl134])).
% 1.37/0.84 thf(zip_derived_cl146, plain,
% 1.37/0.84 (![X0 : $i]:
% 1.37/0.84 (~ (E @ 0 @ (f @ X0))
% 1.37/0.84 | ~ (LE @ (f @ (suc @ (suc @ X0))) @ (s @ 0))
% 1.37/0.84 | ~ (LE @ (f @ (suc @ X0)) @ (s @ 0))
% 1.37/0.84 | (LE @ (f @ X0) @ 0))),
% 1.37/0.84 inference('simplify', [status(thm)], [zip_derived_cl144])).
% 1.37/0.84 thf(zip_derived_cl153, plain,
% 1.37/0.84 (![X0 : $i]:
% 1.37/0.84 ( (LE @ (f @ X0) @ 0)
% 1.37/0.84 | ~ (LE @ (f @ X0) @ (s @ 0))
% 1.37/0.84 | (LE @ (f @ X0) @ 0)
% 1.37/0.84 | ~ (LE @ (f @ (suc @ X0)) @ (s @ 0))
% 1.37/0.84 | ~ (LE @ (f @ (suc @ (suc @ X0))) @ (s @ 0)))),
% 1.37/0.84 inference('sup-', [status(thm)], [zip_derived_cl8, zip_derived_cl146])).
% 1.37/0.84 thf(zip_derived_cl154, plain,
% 1.37/0.84 (![X0 : $i]:
% 1.37/0.84 (~ (LE @ (f @ (suc @ (suc @ X0))) @ (s @ 0))
% 1.37/0.84 | ~ (LE @ (f @ (suc @ X0)) @ (s @ 0))
% 1.37/0.84 | ~ (LE @ (f @ X0) @ (s @ 0))
% 1.37/0.84 | (LE @ (f @ X0) @ 0))),
% 1.37/0.84 inference('simplify', [status(thm)], [zip_derived_cl153])).
% 1.37/0.84 thf(clause_8, axiom,
% 1.37/0.84 (( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ B_11 ) ) ) ) |
% 1.37/0.84 ( ~( E @ ( s @ 0 ) @ ( f @ B_12 ) ) ) |
% 1.37/0.84 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ ( suc @ A_1 ) ) ) ) ) |
% 1.37/0.84 ( ~( E @ ( s @ 0 ) @ ( f @ A_1 ) ) ) |
% 1.37/0.84 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ B_12 ) ) ) ) |
% 1.37/0.84 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ A_1 ) ) ) ) |
% 1.37/0.84 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ ( suc @ B_12 ) ) ) ) ) |
% 1.37/0.84 ( ~( E @ ( f @ B_12 ) @ ( f @ ( suc @ B_12 ) ) ) ) |
% 1.37/0.84 ( ~( E @ ( f @ A_1 ) @ ( f @ ( suc @ A_1 ) ) ) ) |
% 1.37/0.84 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ ( suc @ B_11 ) ) ) ) ) |
% 1.37/0.84 ( ~( E @ ( s @ 0 ) @ ( f @ B_11 ) ) ) |
% 1.37/0.84 ( ~( E @ ( f @ B_11 ) @ ( f @ ( suc @ B_11 ) ) ) ) |
% 1.37/0.84 ( ~( iLEQ @ ( suc @ A_1 ) @ ( suc @ B_11 ) ) ) |
% 1.37/0.84 ( ~( iLEQ @ ( suc @ B_11 ) @ ( suc @ B_12 ) ) ))).
% 1.37/0.84 thf(zip_derived_cl4, plain,
% 1.37/0.84 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.37/0.84 (~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 1.37/0.84 | ~ (E @ (s @ 0) @ (f @ X1))
% 1.37/0.84 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X2))))
% 1.37/0.84 | ~ (E @ (s @ 0) @ (f @ X2))
% 1.37/0.84 | ~ (E @ (s @ 0) @ (f @ (suc @ X1)))
% 1.37/0.84 | ~ (E @ (s @ 0) @ (f @ (suc @ X2)))
% 1.37/0.84 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X1))))
% 1.37/0.84 | ~ (E @ (f @ X1) @ (f @ (suc @ X1)))
% 1.37/0.84 | ~ (E @ (f @ X2) @ (f @ (suc @ X2)))
% 1.37/0.84 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 1.37/0.84 | ~ (E @ (s @ 0) @ (f @ X0))
% 1.37/0.84 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.37/0.84 | ~ (iLEQ @ (suc @ X2) @ (suc @ X0))
% 1.37/0.84 | ~ (iLEQ @ (suc @ X0) @ (suc @ X1)))),
% 1.37/0.84 inference('cnf', [status(esa)], [clause_8])).
% 1.37/0.84 thf(zip_derived_cl121, plain,
% 1.37/0.84 (![X0 : $i]:
% 1.37/0.84 (~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 1.37/0.84 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.37/0.84 | ~ (E @ (s @ 0) @ (f @ X0))
% 1.37/0.84 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 1.37/0.84 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.37/0.84 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.37/0.84 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 1.37/0.84 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 1.37/0.84 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 1.37/0.84 | ~ (E @ (s @ 0) @ (f @ X0))
% 1.37/0.84 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 1.37/0.84 | ~ (E @ (s @ 0) @ (f @ X0))
% 1.37/0.84 | ~ (E @ (s @ 0) @ (f @ (suc @ X0))))),
% 1.37/0.84 inference('eq_fact', [status(thm)], [zip_derived_cl4])).
% 1.37/0.84 thf(zip_derived_cl122, plain,
% 1.37/0.84 (![X0 : $i]:
% 1.37/0.84 (~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 1.37/0.84 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 1.37/0.84 | ~ (E @ (s @ 0) @ (f @ X0))
% 1.37/0.84 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.37/0.84 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 1.37/0.84 inference('simplify', [status(thm)], [zip_derived_cl121])).
% 1.37/0.84 thf(clause_106, axiom,
% 1.37/0.84 (( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ B_11 ) ) ) ) |
% 1.37/0.84 ( ~( E @ ( s @ 0 ) @ ( f @ B_12 ) ) ) |
% 1.37/0.84 ( ~( E @ ( s @ 0 ) @ ( f @ A_1 ) ) ) |
% 1.37/0.84 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ B_12 ) ) ) ) |
% 1.37/0.84 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ A_1 ) ) ) ) |
% 1.37/0.84 ( ~( E @ ( s @ 0 ) @ ( f @ B_11 ) ) ) |
% 1.37/0.84 ( ~( iLEQ @ ( suc @ A_1 ) @ ( suc @ B_11 ) ) ) |
% 1.37/0.84 ( ~( iLEQ @ ( suc @ B_11 ) @ ( suc @ B_12 ) ) ) |
% 1.37/0.84 ( E @ ( f @ A_1 ) @ ( f @ ( suc @ A_1 ) ) ) |
% 1.37/0.84 ( E @ ( f @ B_11 ) @ ( f @ ( suc @ B_11 ) ) ) |
% 1.37/0.84 ( E @ ( f @ B_12 ) @ ( f @ ( suc @ B_12 ) ) ))).
% 1.37/0.84 thf(zip_derived_cl3, plain,
% 1.37/0.84 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.37/0.84 (~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 1.37/0.84 | ~ (E @ (s @ 0) @ (f @ X1))
% 1.37/0.84 | ~ (E @ (s @ 0) @ (f @ X2))
% 1.37/0.84 | ~ (E @ (s @ 0) @ (f @ (suc @ X1)))
% 1.37/0.84 | ~ (E @ (s @ 0) @ (f @ (suc @ X2)))
% 1.37/0.84 | ~ (E @ (s @ 0) @ (f @ X0))
% 1.37/0.84 | ~ (iLEQ @ (suc @ X2) @ (suc @ X0))
% 1.37/0.84 | ~ (iLEQ @ (suc @ X0) @ (suc @ X1))
% 1.37/0.84 | (E @ (f @ X2) @ (f @ (suc @ X2)))
% 1.37/0.84 | (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.37/0.84 | (E @ (f @ X1) @ (f @ (suc @ X1))))),
% 1.37/0.84 inference('cnf', [status(esa)], [clause_106])).
% 1.37/0.84 thf(zip_derived_cl63, plain,
% 1.37/0.84 (![X0 : $i]:
% 1.37/0.84 ( (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.37/0.84 | (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.37/0.84 | (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.37/0.84 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 1.37/0.84 | ~ (E @ (s @ 0) @ (f @ X0))
% 1.37/0.84 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 1.37/0.84 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 1.37/0.84 | ~ (E @ (s @ 0) @ (f @ X0))
% 1.37/0.84 | ~ (E @ (s @ 0) @ (f @ X0))
% 1.37/0.84 | ~ (E @ (s @ 0) @ (f @ (suc @ X0))))),
% 1.37/0.84 inference('eq_fact', [status(thm)], [zip_derived_cl3])).
% 1.37/0.84 thf(zip_derived_cl64, plain,
% 1.37/0.84 (![X0 : $i]:
% 1.37/0.84 (~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 1.37/0.84 | ~ (E @ (s @ 0) @ (f @ X0))
% 1.37/0.84 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 1.37/0.84 | (E @ (f @ X0) @ (f @ (suc @ X0))))),
% 1.37/0.84 inference('simplify', [status(thm)], [zip_derived_cl63])).
% 1.37/0.84 thf(clause_85, axiom,
% 1.37/0.84 (( ~( E @ ( s @ 0 ) @ ( f @ A_1 ) ) ) |
% 1.37/0.84 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ A_1 ) ) ) ) |
% 1.37/0.84 ( E @ ( f @ A_1 ) @ ( f @ ( suc @ A_1 ) ) ) |
% 1.37/0.84 ( iLEQ @ ( suc @ A_1 ) @ ( suc @ A_1 ) ))).
% 1.37/0.84 thf(zip_derived_cl9, plain,
% 1.37/0.84 (![X0 : $i]:
% 1.37/0.84 (~ (E @ (s @ 0) @ (f @ X0))
% 1.37/0.84 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 1.37/0.84 | (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.37/0.84 | (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 1.37/0.84 inference('cnf', [status(esa)], [clause_85])).
% 1.37/0.84 thf(zip_derived_cl69, plain,
% 1.37/0.84 (![X0 : $i]:
% 1.37/0.84 ( (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.37/0.84 | ~ (E @ (s @ 0) @ (f @ X0))
% 1.37/0.84 | ~ (E @ (s @ 0) @ (f @ (suc @ X0))))),
% 1.37/0.84 inference('clc', [status(thm)], [zip_derived_cl64, zip_derived_cl9])).
% 1.37/0.84 thf(zip_derived_cl177, plain,
% 1.37/0.84 (![X0 : $i]:
% 1.37/0.84 (~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 1.37/0.84 | ~ (E @ (s @ 0) @ (f @ X0))
% 1.37/0.84 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 1.37/0.84 | ~ (E @ (s @ 0) @ (f @ (suc @ X0))))),
% 1.37/0.84 inference('clc', [status(thm)], [zip_derived_cl122, zip_derived_cl69])).
% 1.37/0.84 thf(clause_25, axiom,
% 1.37/0.84 (( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ ( suc @ A_1 ) ) ) ) ) |
% 1.37/0.84 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ A_1 ) ) ) ) |
% 1.37/0.84 ( ~( E @ ( f @ A_1 ) @ ( f @ ( suc @ A_1 ) ) ) ) |
% 1.37/0.84 ( ~( E @ ( s @ 0 ) @ ( f @ A_1 ) ) ) |
% 1.37/0.84 ( iLEQ @ ( suc @ A_1 ) @ ( suc @ A_1 ) ))).
% 1.37/0.84 thf(zip_derived_cl27, plain,
% 1.37/0.84 (![X0 : $i]:
% 1.37/0.84 (~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 1.37/0.84 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 1.37/0.84 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.37/0.84 | ~ (E @ (s @ 0) @ (f @ X0))
% 1.37/0.84 | (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 1.37/0.84 inference('cnf', [status(esa)], [clause_25])).
% 1.37/0.84 thf(zip_derived_cl9, plain,
% 1.37/0.84 (![X0 : $i]:
% 1.37/0.84 (~ (E @ (s @ 0) @ (f @ X0))
% 1.37/0.84 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 1.37/0.84 | (E @ (f @ X0) @ (f @ (suc @ X0)))
% 1.37/0.84 | (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 1.37/0.84 inference('cnf', [status(esa)], [clause_85])).
% 1.37/0.84 thf(zip_derived_cl40, plain,
% 1.37/0.84 (![X0 : $i]:
% 1.37/0.84 ( (iLEQ @ (suc @ X0) @ (suc @ X0))
% 1.37/0.84 | ~ (E @ (s @ 0) @ (f @ X0))
% 1.37/0.84 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 1.37/0.84 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0)))))),
% 1.37/0.84 inference('clc', [status(thm)], [zip_derived_cl27, zip_derived_cl9])).
% 1.37/0.84 thf(zip_derived_cl178, plain,
% 1.37/0.84 (![X0 : $i]:
% 1.37/0.84 (~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 1.37/0.84 | ~ (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 1.37/0.84 | ~ (E @ (s @ 0) @ (f @ X0)))),
% 1.37/0.84 inference('clc', [status(thm)], [zip_derived_cl177, zip_derived_cl40])).
% 1.37/0.84 thf(clause_33, axiom,
% 1.37/0.84 (( ~( LE @ ( f @ ( suc @ ( suc @ B_10 ) ) ) @ ( s @ ( s @ 0 ) ) ) ) |
% 1.37/0.84 ( E @ ( s @ 0 ) @ ( f @ ( suc @ ( suc @ B_10 ) ) ) ) |
% 1.37/0.84 ( LE @ ( f @ B_10 ) @ ( s @ 0 ) ))).
% 1.37/0.84 thf(zip_derived_cl22, plain,
% 1.37/0.84 (![X0 : $i]:
% 1.37/0.84 (~ (LE @ (f @ (suc @ (suc @ X0))) @ (s @ (s @ 0)))
% 1.37/0.84 | (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 1.37/0.84 | (LE @ (f @ X0) @ (s @ 0)))),
% 1.37/0.84 inference('cnf', [status(esa)], [clause_33])).
% 1.37/0.84 thf(clause_72, axiom, (LE @ ( f @ A ) @ ( s @ ( s @ 0 ) ))).
% 1.37/0.84 thf(zip_derived_cl5, plain, (![X0 : $i]: (LE @ (f @ X0) @ (s @ (s @ 0)))),
% 1.37/0.84 inference('cnf', [status(esa)], [clause_72])).
% 1.37/0.84 thf(zip_derived_cl39, plain,
% 1.37/0.84 (![X0 : $i]:
% 1.37/0.84 ( (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 1.37/0.84 | (LE @ (f @ X0) @ (s @ 0)))),
% 1.37/0.84 inference('demod', [status(thm)], [zip_derived_cl22, zip_derived_cl5])).
% 1.37/0.84 thf(zip_derived_cl181, plain,
% 1.37/0.84 (![X0 : $i]:
% 1.37/0.84 (~ (E @ (s @ 0) @ (f @ X0))
% 1.37/0.84 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 1.37/0.84 | (LE @ (f @ X0) @ (s @ 0)))),
% 1.37/0.84 inference('sup+', [status(thm)], [zip_derived_cl178, zip_derived_cl39])).
% 1.37/0.84 thf(clause_118, axiom,
% 1.37/0.84 (( ~( LE @ ( f @ B_10 ) @ ( s @ ( s @ 0 ) ) ) ) |
% 1.37/0.84 ( E @ ( s @ 0 ) @ ( f @ B_10 ) ) | ( LE @ ( f @ B_10 ) @ ( s @ 0 ) ))).
% 1.37/0.84 thf(zip_derived_cl24, plain,
% 1.37/0.84 (![X0 : $i]:
% 1.37/0.84 (~ (LE @ (f @ X0) @ (s @ (s @ 0)))
% 1.37/0.84 | (E @ (s @ 0) @ (f @ X0))
% 1.37/0.84 | (LE @ (f @ X0) @ (s @ 0)))),
% 1.37/0.84 inference('cnf', [status(esa)], [clause_118])).
% 1.37/0.84 thf(zip_derived_cl5, plain, (![X0 : $i]: (LE @ (f @ X0) @ (s @ (s @ 0)))),
% 1.37/0.84 inference('cnf', [status(esa)], [clause_72])).
% 1.37/0.84 thf(zip_derived_cl28, plain,
% 1.37/0.84 (![X0 : $i]: ( (E @ (s @ 0) @ (f @ X0)) | (LE @ (f @ X0) @ (s @ 0)))),
% 1.37/0.84 inference('demod', [status(thm)], [zip_derived_cl24, zip_derived_cl5])).
% 1.37/0.84 thf(zip_derived_cl185, plain,
% 1.37/0.84 (![X0 : $i]:
% 1.37/0.84 ( (LE @ (f @ X0) @ (s @ 0)) | ~ (E @ (s @ 0) @ (f @ (suc @ X0))))),
% 1.37/0.84 inference('clc', [status(thm)], [zip_derived_cl181, zip_derived_cl28])).
% 1.37/0.84 thf(clause_119, axiom,
% 1.37/0.84 (( ~( LE @ ( f @ ( suc @ B_10 ) ) @ ( s @ ( s @ 0 ) ) ) ) |
% 1.37/0.84 ( E @ ( s @ 0 ) @ ( f @ ( suc @ B_10 ) ) ) |
% 1.37/0.84 ( LE @ ( f @ B_10 ) @ ( s @ 0 ) ))).
% 1.37/0.84 thf(zip_derived_cl6, plain,
% 1.37/0.84 (![X0 : $i]:
% 1.37/0.84 (~ (LE @ (f @ (suc @ X0)) @ (s @ (s @ 0)))
% 1.37/0.84 | (E @ (s @ 0) @ (f @ (suc @ X0)))
% 1.37/0.84 | (LE @ (f @ X0) @ (s @ 0)))),
% 1.37/0.84 inference('cnf', [status(esa)], [clause_119])).
% 1.37/0.84 thf(zip_derived_cl5, plain, (![X0 : $i]: (LE @ (f @ X0) @ (s @ (s @ 0)))),
% 1.37/0.84 inference('cnf', [status(esa)], [clause_72])).
% 1.37/0.84 thf(zip_derived_cl36, plain,
% 1.37/0.84 (![X0 : $i]:
% 1.37/0.84 ( (E @ (s @ 0) @ (f @ (suc @ X0))) | (LE @ (f @ X0) @ (s @ 0)))),
% 1.37/0.84 inference('demod', [status(thm)], [zip_derived_cl6, zip_derived_cl5])).
% 1.37/0.84 thf(zip_derived_cl186, plain, (![X0 : $i]: (LE @ (f @ X0) @ (s @ 0))),
% 1.37/0.84 inference('clc', [status(thm)], [zip_derived_cl185, zip_derived_cl36])).
% 1.37/0.84 thf(zip_derived_cl186, plain, (![X0 : $i]: (LE @ (f @ X0) @ (s @ 0))),
% 1.37/0.84 inference('clc', [status(thm)], [zip_derived_cl185, zip_derived_cl36])).
% 1.37/0.84 thf(zip_derived_cl186, plain, (![X0 : $i]: (LE @ (f @ X0) @ (s @ 0))),
% 1.37/0.84 inference('clc', [status(thm)], [zip_derived_cl185, zip_derived_cl36])).
% 1.37/0.84 thf(zip_derived_cl194, plain, (![X0 : $i]: (LE @ (f @ X0) @ 0)),
% 1.37/0.84 inference('demod', [status(thm)],
% 1.37/0.84 [zip_derived_cl154, zip_derived_cl186, zip_derived_cl186,
% 1.37/0.84 zip_derived_cl186])).
% 1.37/0.84 thf(zip_derived_cl196, plain, ($false),
% 1.37/0.84 inference('demod', [status(thm)], [zip_derived_cl0, zip_derived_cl194])).
% 1.37/0.84
% 1.37/0.84 % SZS output end Refutation
% 1.37/0.84
% 1.37/0.84
% 1.37/0.84 % Terminating...
% 1.47/0.94 % Runner terminated.
% 1.47/0.95 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------