%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYO652-1 : TPTP v9.2.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.bpC4IYxp7r true
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Oct 2 05:08:04 PM UTC 2025
% Result : Unsatisfiable 0.57s 0.81s
% Output : Refutation 0.57s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SYO652-1 : TPTP v9.2.0. Released v7.3.0.
% 0.11/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.bpC4IYxp7r true
% 0.14/0.34 % Computer : n008.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Wed Oct 1 17:54:38 EDT 2025
% 0.14/0.34 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.35 % Running in FO mode
% 0.53/0.63 % Total configuration time : 435
% 0.53/0.63 % Estimated wc time : 1092
% 0.53/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.56/0.71 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.56/0.72 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.56/0.72 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.56/0.72 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.56/0.75 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.56/0.76 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.57/0.80 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.57/0.81 % Solved by fo/fo1_av.sh.
% 0.57/0.81 % done 25 iterations in 0.056s
% 0.57/0.81 % SZS status Unsatisfiable for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.57/0.81 % SZS output start Refutation
% 0.57/0.81 thf(s_type, type, s: $i > $i).
% 0.57/0.81 thf(suc_type, type, suc: $i > $i).
% 0.57/0.81 thf(f_type, type, f: $i > $i).
% 0.57/0.81 thf(LE_type, type, LE: $i > $i > $o).
% 0.57/0.81 thf(0_type, type, 0: $i).
% 0.57/0.81 thf(E_type, type, E: $i > $i > $o).
% 0.57/0.81 thf(z_type, type, z: $i).
% 0.57/0.81 thf(iLEQ_type, type, iLEQ: $i > $i > $o).
% 0.57/0.81 thf(clause_99, axiom, (~( LE @ ( f @ z ) @ 0 ))).
% 0.57/0.81 thf(zip_derived_cl15, plain, (~ (LE @ (f @ z) @ 0)),
% 0.57/0.81 inference('cnf', [status(esa)], [clause_99])).
% 0.57/0.81 thf(clause_149, axiom,
% 0.57/0.81 (( ~( E @ 0 @ ( f @ ( suc @ ( suc @ A_1 ) ) ) ) ) |
% 0.57/0.81 ( ~( E @ 0 @ ( f @ ( suc @ A_1 ) ) ) ) |
% 0.57/0.81 ( ~( E @ ( f @ A_1 ) @ ( f @ ( suc @ A_1 ) ) ) ) |
% 0.57/0.81 ( ~( E @ 0 @ ( f @ A_1 ) ) ) | ( iLEQ @ ( suc @ A_1 ) @ ( suc @ A_1 ) ))).
% 0.57/0.81 thf(zip_derived_cl3, plain,
% 0.57/0.81 (![X0 : $i]:
% 0.57/0.81 (~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 0.57/0.81 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.57/0.81 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.57/0.81 | ~ (E @ 0 @ (f @ X0))
% 0.57/0.81 | (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 0.57/0.81 inference('cnf', [status(esa)], [clause_149])).
% 0.57/0.81 thf(clause_44, axiom,
% 0.57/0.81 (( ~( E @ 0 @ ( f @ A_1 ) ) ) | ( ~( E @ 0 @ ( f @ ( suc @ A_1 ) ) ) ) |
% 0.57/0.81 ( E @ ( f @ A_1 ) @ ( f @ ( suc @ A_1 ) ) ) |
% 0.57/0.81 ( iLEQ @ ( suc @ A_1 ) @ ( suc @ A_1 ) ))).
% 0.57/0.81 thf(zip_derived_cl21, plain,
% 0.57/0.81 (![X0 : $i]:
% 0.57/0.81 (~ (E @ 0 @ (f @ X0))
% 0.57/0.81 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.57/0.81 | (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.57/0.81 | (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 0.57/0.81 inference('cnf', [status(esa)], [clause_44])).
% 0.57/0.81 thf(zip_derived_cl32, plain,
% 0.57/0.81 (![X0 : $i]:
% 0.57/0.81 ( (iLEQ @ (suc @ X0) @ (suc @ X0))
% 0.57/0.81 | ~ (E @ 0 @ (f @ X0))
% 0.57/0.81 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.57/0.81 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0)))))),
% 0.57/0.81 inference('clc', [status(thm)], [zip_derived_cl3, zip_derived_cl21])).
% 0.57/0.81 thf(zip_derived_cl21, plain,
% 0.57/0.81 (![X0 : $i]:
% 0.57/0.81 (~ (E @ 0 @ (f @ X0))
% 0.57/0.81 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.57/0.81 | (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.57/0.81 | (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 0.57/0.81 inference('cnf', [status(esa)], [clause_44])).
% 0.57/0.81 thf(clause_16, axiom,
% 0.57/0.81 (( ~( E @ 0 @ ( f @ ( suc @ B_11 ) ) ) ) |
% 0.57/0.81 ( ~( iLEQ @ ( suc @ B_12 ) @ ( suc @ B_13 ) ) ) |
% 0.57/0.81 ( ~( E @ 0 @ ( f @ ( suc @ A_1 ) ) ) ) | ( ~( E @ 0 @ ( f @ B_11 ) ) ) |
% 0.57/0.81 ( ~( E @ 0 @ ( f @ A_1 ) ) ) | ( ~( E @ 0 @ ( f @ B_13 ) ) ) |
% 0.57/0.81 ( ~( E @ 0 @ ( f @ ( suc @ B_12 ) ) ) ) |
% 0.57/0.81 ( ~( iLEQ @ ( suc @ A_1 ) @ ( suc @ B_11 ) ) ) |
% 0.57/0.81 ( ~( E @ 0 @ ( f @ ( suc @ B_13 ) ) ) ) | ( ~( E @ 0 @ ( f @ B_12 ) ) ) |
% 0.57/0.81 ( ~( iLEQ @ ( suc @ B_11 ) @ ( suc @ B_12 ) ) ) |
% 0.57/0.81 ( E @ ( f @ A_1 ) @ ( f @ ( suc @ A_1 ) ) ) |
% 0.57/0.81 ( E @ ( f @ B_11 ) @ ( f @ ( suc @ B_11 ) ) ) |
% 0.57/0.81 ( E @ ( f @ B_12 ) @ ( f @ ( suc @ B_12 ) ) ) |
% 0.57/0.81 ( E @ ( f @ B_13 ) @ ( f @ ( suc @ B_13 ) ) ))).
% 0.57/0.81 thf(zip_derived_cl2, plain,
% 0.57/0.81 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.57/0.81 (~ (E @ 0 @ (f @ (suc @ X0)))
% 0.57/0.81 | ~ (iLEQ @ (suc @ X1) @ (suc @ X2))
% 0.57/0.81 | ~ (E @ 0 @ (f @ (suc @ X3)))
% 0.57/0.81 | ~ (E @ 0 @ (f @ X0))
% 0.57/0.81 | ~ (E @ 0 @ (f @ X3))
% 0.57/0.81 | ~ (E @ 0 @ (f @ X2))
% 0.57/0.81 | ~ (E @ 0 @ (f @ (suc @ X1)))
% 0.57/0.81 | ~ (iLEQ @ (suc @ X3) @ (suc @ X0))
% 0.57/0.81 | ~ (E @ 0 @ (f @ (suc @ X2)))
% 0.57/0.81 | ~ (E @ 0 @ (f @ X1))
% 0.57/0.81 | ~ (iLEQ @ (suc @ X0) @ (suc @ X1))
% 0.57/0.81 | (E @ (f @ X3) @ (f @ (suc @ X3)))
% 0.57/0.81 | (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.57/0.81 | (E @ (f @ X1) @ (f @ (suc @ X1)))
% 0.57/0.81 | (E @ (f @ X2) @ (f @ (suc @ X2))))),
% 0.57/0.81 inference('cnf', [status(esa)], [clause_16])).
% 0.57/0.81 thf(zip_derived_cl35, plain,
% 0.57/0.81 (![X0 : $i, X1 : $i]:
% 0.57/0.81 ( (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.57/0.81 | (E @ (f @ X1) @ (f @ (suc @ X1)))
% 0.57/0.81 | (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.57/0.81 | (E @ (f @ X1) @ (f @ (suc @ X1)))
% 0.57/0.81 | ~ (iLEQ @ (suc @ X0) @ (suc @ X1))
% 0.57/0.81 | ~ (E @ 0 @ (f @ X1))
% 0.57/0.81 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.57/0.81 | ~ (iLEQ @ (suc @ X1) @ (suc @ X0))
% 0.57/0.81 | ~ (E @ 0 @ (f @ (suc @ X1)))
% 0.57/0.81 | ~ (E @ 0 @ (f @ X0))
% 0.57/0.81 | ~ (E @ 0 @ (f @ X1))
% 0.57/0.81 | ~ (E @ 0 @ (f @ X0))
% 0.57/0.81 | ~ (E @ 0 @ (f @ (suc @ X1)))
% 0.57/0.81 | ~ (E @ 0 @ (f @ (suc @ X0))))),
% 0.57/0.81 inference('eq_fact', [status(thm)], [zip_derived_cl2])).
% 0.57/0.81 thf(zip_derived_cl37, plain,
% 0.57/0.81 (![X0 : $i, X1 : $i]:
% 0.57/0.81 (~ (E @ 0 @ (f @ X0))
% 0.57/0.81 | ~ (E @ 0 @ (f @ (suc @ X1)))
% 0.57/0.81 | ~ (iLEQ @ (suc @ X1) @ (suc @ X0))
% 0.57/0.81 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.57/0.81 | ~ (E @ 0 @ (f @ X1))
% 0.57/0.81 | ~ (iLEQ @ (suc @ X0) @ (suc @ X1))
% 0.57/0.81 | (E @ (f @ X1) @ (f @ (suc @ X1)))
% 0.57/0.81 | (E @ (f @ X0) @ (f @ (suc @ X0))))),
% 0.57/0.81 inference('simplify', [status(thm)], [zip_derived_cl35])).
% 0.57/0.81 thf(zip_derived_cl41, plain,
% 0.57/0.81 (![X0 : $i]:
% 0.57/0.81 ( (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.57/0.81 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.57/0.81 | ~ (E @ 0 @ (f @ X0))
% 0.57/0.81 | ~ (E @ 0 @ (f @ X0))
% 0.57/0.81 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.57/0.81 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.57/0.81 | ~ (E @ 0 @ (f @ X0))
% 0.57/0.81 | (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.57/0.81 | (E @ (f @ X0) @ (f @ (suc @ X0))))),
% 0.57/0.81 inference('s_sup-', [status(thm)], [zip_derived_cl21, zip_derived_cl37])).
% 0.57/0.81 thf(zip_derived_cl45, plain,
% 0.57/0.81 (![X0 : $i]:
% 0.57/0.81 (~ (E @ 0 @ (f @ X0))
% 0.57/0.81 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.57/0.81 | (E @ (f @ X0) @ (f @ (suc @ X0))))),
% 0.57/0.81 inference('simplify', [status(thm)], [zip_derived_cl41])).
% 0.57/0.81 thf(zip_derived_cl45, plain,
% 0.57/0.81 (![X0 : $i]:
% 0.57/0.81 (~ (E @ 0 @ (f @ X0))
% 0.57/0.81 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.57/0.81 | (E @ (f @ X0) @ (f @ (suc @ X0))))),
% 0.57/0.81 inference('simplify', [status(thm)], [zip_derived_cl41])).
% 0.57/0.81 thf(clause_96, axiom,
% 0.57/0.81 (( ~( E @ 0 @ ( f @ ( suc @ B_11 ) ) ) ) |
% 0.57/0.81 ( ~( iLEQ @ ( suc @ B_12 ) @ ( suc @ B_13 ) ) ) |
% 0.57/0.81 ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ B_11 ) ) ) ) ) |
% 0.57/0.81 ( ~( E @ 0 @ ( f @ ( suc @ A_1 ) ) ) ) |
% 0.57/0.81 ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ A_1 ) ) ) ) ) |
% 0.57/0.81 ( ~( E @ 0 @ ( f @ B_11 ) ) ) | ( ~( E @ 0 @ ( f @ A_1 ) ) ) |
% 0.57/0.81 ( ~( E @ 0 @ ( f @ B_13 ) ) ) | ( ~( E @ 0 @ ( f @ ( suc @ B_12 ) ) ) ) |
% 0.57/0.81 ( ~( E @ ( f @ B_12 ) @ ( f @ ( suc @ B_12 ) ) ) ) |
% 0.57/0.81 ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ B_12 ) ) ) ) ) |
% 0.57/0.81 ( ~( E @ ( f @ A_1 ) @ ( f @ ( suc @ A_1 ) ) ) ) |
% 0.57/0.81 ( ~( E @ ( f @ B_11 ) @ ( f @ ( suc @ B_11 ) ) ) ) |
% 0.57/0.81 ( ~( iLEQ @ ( suc @ A_1 ) @ ( suc @ B_11 ) ) ) |
% 0.57/0.81 ( ~( E @ 0 @ ( f @ ( suc @ B_13 ) ) ) ) | ( ~( E @ 0 @ ( f @ B_12 ) ) ) |
% 0.57/0.81 ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ B_13 ) ) ) ) ) |
% 0.57/0.81 ( ~( E @ ( f @ B_13 ) @ ( f @ ( suc @ B_13 ) ) ) ) |
% 0.57/0.81 ( ~( iLEQ @ ( suc @ B_11 ) @ ( suc @ B_12 ) ) ))).
% 0.57/0.81 thf(zip_derived_cl10, plain,
% 0.57/0.81 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.57/0.81 (~ (E @ 0 @ (f @ (suc @ X0)))
% 0.57/0.81 | ~ (iLEQ @ (suc @ X1) @ (suc @ X2))
% 0.57/0.81 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 0.57/0.81 | ~ (E @ 0 @ (f @ (suc @ X3)))
% 0.57/0.81 | ~ (E @ 0 @ (f @ (suc @ (suc @ X3))))
% 0.57/0.81 | ~ (E @ 0 @ (f @ X0))
% 0.57/0.81 | ~ (E @ 0 @ (f @ X3))
% 0.57/0.81 | ~ (E @ 0 @ (f @ X2))
% 0.57/0.81 | ~ (E @ 0 @ (f @ (suc @ X1)))
% 0.57/0.81 | ~ (E @ (f @ X1) @ (f @ (suc @ X1)))
% 0.57/0.81 | ~ (E @ 0 @ (f @ (suc @ (suc @ X1))))
% 0.57/0.81 | ~ (E @ (f @ X3) @ (f @ (suc @ X3)))
% 0.57/0.81 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.57/0.81 | ~ (iLEQ @ (suc @ X3) @ (suc @ X0))
% 0.57/0.81 | ~ (E @ 0 @ (f @ (suc @ X2)))
% 0.57/0.81 | ~ (E @ 0 @ (f @ X1))
% 0.57/0.81 | ~ (E @ 0 @ (f @ (suc @ (suc @ X2))))
% 0.57/0.81 | ~ (E @ (f @ X2) @ (f @ (suc @ X2)))
% 0.57/0.81 | ~ (iLEQ @ (suc @ X0) @ (suc @ X1)))),
% 0.57/0.81 inference('cnf', [status(esa)], [clause_96])).
% 0.57/0.81 thf(zip_derived_cl29, plain,
% 0.57/0.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.57/0.81 (~ (iLEQ @ (suc @ X1) @ (suc @ X0))
% 0.57/0.81 | ~ (E @ (f @ X2) @ (f @ (suc @ X2)))
% 0.57/0.81 | ~ (E @ 0 @ (f @ (suc @ (suc @ X2))))
% 0.57/0.81 | ~ (E @ 0 @ (f @ X0))
% 0.57/0.81 | ~ (E @ 0 @ (f @ (suc @ X2)))
% 0.57/0.81 | ~ (iLEQ @ (suc @ X0) @ (suc @ X1))
% 0.57/0.81 | ~ (E @ (f @ X1) @ (f @ (suc @ X1)))
% 0.57/0.81 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.57/0.81 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 0.57/0.81 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.57/0.81 | ~ (E @ 0 @ (f @ X2))
% 0.57/0.81 | ~ (E @ 0 @ (f @ X0))
% 0.57/0.81 | ~ (E @ 0 @ (f @ X1))
% 0.57/0.81 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 0.57/0.81 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.57/0.81 | ~ (E @ 0 @ (f @ (suc @ (suc @ X1))))
% 0.57/0.81 | ~ (iLEQ @ (suc @ X0) @ (suc @ X2))
% 0.57/0.81 | ~ (E @ 0 @ (f @ (suc @ X1))))),
% 0.57/0.81 inference('eq_fact', [status(thm)], [zip_derived_cl10])).
% 0.57/0.81 thf(zip_derived_cl30, plain,
% 0.57/0.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.57/0.81 (~ (E @ 0 @ (f @ (suc @ X1)))
% 0.57/0.81 | ~ (iLEQ @ (suc @ X0) @ (suc @ X2))
% 0.57/0.81 | ~ (E @ 0 @ (f @ (suc @ (suc @ X1))))
% 0.57/0.81 | ~ (E @ 0 @ (f @ X1))
% 0.57/0.81 | ~ (E @ 0 @ (f @ X2))
% 0.57/0.81 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.57/0.81 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 0.57/0.81 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.57/0.81 | ~ (E @ (f @ X1) @ (f @ (suc @ X1)))
% 0.57/0.81 | ~ (iLEQ @ (suc @ X0) @ (suc @ X1))
% 0.57/0.81 | ~ (E @ 0 @ (f @ (suc @ X2)))
% 0.57/0.81 | ~ (E @ 0 @ (f @ X0))
% 0.57/0.81 | ~ (E @ 0 @ (f @ (suc @ (suc @ X2))))
% 0.57/0.81 | ~ (E @ (f @ X2) @ (f @ (suc @ X2)))
% 0.57/0.81 | ~ (iLEQ @ (suc @ X1) @ (suc @ X0)))),
% 0.57/0.81 inference('simplify', [status(thm)], [zip_derived_cl29])).
% 0.57/0.81 thf(zip_derived_cl51, plain,
% 0.57/0.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.57/0.81 (~ (E @ 0 @ (f @ (suc @ X0)))
% 0.57/0.81 | ~ (E @ 0 @ (f @ X0))
% 0.57/0.81 | ~ (E @ 0 @ (f @ (suc @ X1)))
% 0.57/0.81 | ~ (iLEQ @ (suc @ X0) @ (suc @ X2))
% 0.57/0.81 | ~ (E @ 0 @ (f @ (suc @ (suc @ X1))))
% 0.57/0.81 | ~ (E @ 0 @ (f @ X1))
% 0.57/0.81 | ~ (E @ 0 @ (f @ X2))
% 0.57/0.81 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.57/0.81 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 0.57/0.81 | ~ (E @ (f @ X1) @ (f @ (suc @ X1)))
% 0.57/0.81 | ~ (iLEQ @ (suc @ X0) @ (suc @ X1))
% 0.57/0.81 | ~ (E @ 0 @ (f @ (suc @ X2)))
% 0.57/0.81 | ~ (E @ 0 @ (f @ X0))
% 0.57/0.81 | ~ (E @ 0 @ (f @ (suc @ (suc @ X2))))
% 0.57/0.81 | ~ (E @ (f @ X2) @ (f @ (suc @ X2)))
% 0.57/0.81 | ~ (iLEQ @ (suc @ X1) @ (suc @ X0)))),
% 0.57/0.81 inference('s_sup-', [status(thm)], [zip_derived_cl45, zip_derived_cl30])).
% 0.57/0.81 thf(zip_derived_cl52, plain,
% 0.57/0.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.57/0.81 (~ (iLEQ @ (suc @ X1) @ (suc @ X0))
% 0.57/0.81 | ~ (E @ (f @ X2) @ (f @ (suc @ X2)))
% 0.57/0.81 | ~ (E @ 0 @ (f @ (suc @ (suc @ X2))))
% 0.57/0.81 | ~ (E @ 0 @ (f @ (suc @ X2)))
% 0.57/0.81 | ~ (iLEQ @ (suc @ X0) @ (suc @ X1))
% 0.57/0.81 | ~ (E @ (f @ X1) @ (f @ (suc @ X1)))
% 0.57/0.81 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 0.57/0.81 | ~ (E @ 0 @ (f @ X2))
% 0.57/0.81 | ~ (E @ 0 @ (f @ X1))
% 0.57/0.81 | ~ (E @ 0 @ (f @ (suc @ (suc @ X1))))
% 0.57/0.81 | ~ (iLEQ @ (suc @ X0) @ (suc @ X2))
% 0.57/0.81 | ~ (E @ 0 @ (f @ (suc @ X1)))
% 0.57/0.81 | ~ (E @ 0 @ (f @ X0))
% 0.57/0.81 | ~ (E @ 0 @ (f @ (suc @ X0))))),
% 0.57/0.81 inference('simplify', [status(thm)], [zip_derived_cl51])).
% 0.57/0.81 thf(zip_derived_cl59, plain,
% 0.57/0.81 (![X0 : $i, X1 : $i]:
% 0.57/0.81 (~ (E @ 0 @ (f @ (suc @ X1)))
% 0.57/0.81 | ~ (E @ 0 @ (f @ X1))
% 0.57/0.81 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.57/0.81 | ~ (iLEQ @ (suc @ X1) @ (suc @ X0))
% 0.57/0.81 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 0.57/0.81 | ~ (E @ 0 @ (f @ X0))
% 0.57/0.81 | ~ (E @ 0 @ (f @ X0))
% 0.57/0.81 | ~ (E @ 0 @ (f @ (suc @ (suc @ X1))))
% 0.57/0.81 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.57/0.81 | ~ (iLEQ @ (suc @ X1) @ (suc @ X0))
% 0.57/0.81 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.57/0.81 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 0.57/0.81 | ~ (iLEQ @ (suc @ X0) @ (suc @ X1)))),
% 0.57/0.81 inference('eq_fact', [status(thm)], [zip_derived_cl52])).
% 0.57/0.81 thf(zip_derived_cl60, plain,
% 0.57/0.81 (![X0 : $i, X1 : $i]:
% 0.57/0.81 (~ (iLEQ @ (suc @ X0) @ (suc @ X1))
% 0.57/0.81 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 0.57/0.81 | ~ (E @ 0 @ (f @ (suc @ (suc @ X1))))
% 0.57/0.81 | ~ (E @ 0 @ (f @ X0))
% 0.57/0.81 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 0.57/0.81 | ~ (iLEQ @ (suc @ X1) @ (suc @ X0))
% 0.57/0.81 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.57/0.81 | ~ (E @ 0 @ (f @ X1))
% 0.57/0.81 | ~ (E @ 0 @ (f @ (suc @ X1))))),
% 0.57/0.81 inference('simplify', [status(thm)], [zip_derived_cl59])).
% 0.57/0.81 thf(zip_derived_cl62, plain,
% 0.57/0.81 (![X0 : $i, X1 : $i]:
% 0.57/0.81 (~ (E @ 0 @ (f @ (suc @ X0)))
% 0.57/0.81 | ~ (E @ 0 @ (f @ X0))
% 0.57/0.81 | ~ (iLEQ @ (suc @ X0) @ (suc @ X1))
% 0.57/0.81 | ~ (E @ 0 @ (f @ (suc @ (suc @ X1))))
% 0.57/0.81 | ~ (E @ 0 @ (f @ X0))
% 0.57/0.81 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 0.57/0.81 | ~ (iLEQ @ (suc @ X1) @ (suc @ X0))
% 0.57/0.81 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.57/0.81 | ~ (E @ 0 @ (f @ X1))
% 0.57/0.81 | ~ (E @ 0 @ (f @ (suc @ X1))))),
% 0.57/0.81 inference('s_sup-', [status(thm)], [zip_derived_cl45, zip_derived_cl60])).
% 0.57/0.81 thf(zip_derived_cl63, plain,
% 0.57/0.81 (![X0 : $i, X1 : $i]:
% 0.57/0.81 (~ (E @ 0 @ (f @ (suc @ X1)))
% 0.57/0.81 | ~ (E @ 0 @ (f @ X1))
% 0.57/0.81 | ~ (iLEQ @ (suc @ X1) @ (suc @ X0))
% 0.57/0.81 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 0.57/0.81 | ~ (E @ 0 @ (f @ (suc @ (suc @ X1))))
% 0.57/0.81 | ~ (iLEQ @ (suc @ X0) @ (suc @ X1))
% 0.57/0.81 | ~ (E @ 0 @ (f @ X0))
% 0.57/0.81 | ~ (E @ 0 @ (f @ (suc @ X0))))),
% 0.57/0.81 inference('simplify', [status(thm)], [zip_derived_cl62])).
% 0.57/0.81 thf(zip_derived_cl64, plain,
% 0.57/0.81 (![X0 : $i]:
% 0.57/0.81 (~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 0.57/0.81 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.57/0.81 | ~ (E @ 0 @ (f @ X0))
% 0.57/0.81 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.57/0.81 | ~ (E @ 0 @ (f @ X0))
% 0.57/0.81 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 0.57/0.81 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 0.57/0.81 | ~ (E @ 0 @ (f @ X0))
% 0.57/0.81 | ~ (E @ 0 @ (f @ (suc @ X0))))),
% 0.57/0.81 inference('s_sup-', [status(thm)], [zip_derived_cl32, zip_derived_cl63])).
% 0.57/0.81 thf(zip_derived_cl67, plain,
% 0.57/0.81 (![X0 : $i]:
% 0.57/0.81 (~ (E @ 0 @ (f @ X0))
% 0.57/0.81 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.57/0.81 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0)))))),
% 0.57/0.81 inference('simplify', [status(thm)], [zip_derived_cl64])).
% 0.57/0.81 thf(clause_3, axiom,
% 0.57/0.81 (( ~( LE @ ( f @ ( suc @ ( suc @ B_10 ) ) ) @ ( s @ 0 ) ) ) |
% 0.57/0.81 ( E @ 0 @ ( f @ ( suc @ ( suc @ B_10 ) ) ) ) | ( LE @ ( f @ B_10 ) @ 0 ))).
% 0.57/0.81 thf(zip_derived_cl13, plain,
% 0.57/0.81 (![X0 : $i]:
% 0.57/0.81 (~ (LE @ (f @ (suc @ (suc @ X0))) @ (s @ 0))
% 0.57/0.81 | (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 0.57/0.81 | (LE @ (f @ X0) @ 0))),
% 0.57/0.81 inference('cnf', [status(esa)], [clause_3])).
% 0.57/0.81 thf(clause_199, axiom, (LE @ ( f @ A ) @ ( s @ 0 ))).
% 0.57/0.81 thf(zip_derived_cl5, plain, (![X0 : $i]: (LE @ (f @ X0) @ (s @ 0))),
% 0.57/0.81 inference('cnf', [status(esa)], [clause_199])).
% 0.57/0.81 thf(zip_derived_cl31, plain,
% 0.57/0.81 (![X0 : $i]: ( (E @ 0 @ (f @ (suc @ (suc @ X0)))) | (LE @ (f @ X0) @ 0))),
% 0.57/0.81 inference('demod', [status(thm)], [zip_derived_cl13, zip_derived_cl5])).
% 0.57/0.81 thf(zip_derived_cl68, plain,
% 0.57/0.81 (![X0 : $i]:
% 0.57/0.81 (~ (E @ 0 @ (f @ (suc @ X0)))
% 0.57/0.81 | ~ (E @ 0 @ (f @ X0))
% 0.57/0.81 | (LE @ (f @ X0) @ 0))),
% 0.57/0.81 inference('s_sup+', [status(thm)], [zip_derived_cl67, zip_derived_cl31])).
% 0.57/0.81 thf(clause_191, axiom,
% 0.57/0.81 (( ~( LE @ ( f @ ( suc @ B_10 ) ) @ ( s @ 0 ) ) ) |
% 0.57/0.81 ( E @ 0 @ ( f @ ( suc @ B_10 ) ) ) | ( LE @ ( f @ B_10 ) @ 0 ))).
% 0.57/0.81 thf(zip_derived_cl6, plain,
% 0.57/0.81 (![X0 : $i]:
% 0.57/0.81 (~ (LE @ (f @ (suc @ X0)) @ (s @ 0))
% 0.57/0.81 | (E @ 0 @ (f @ (suc @ X0)))
% 0.57/0.81 | (LE @ (f @ X0) @ 0))),
% 0.57/0.81 inference('cnf', [status(esa)], [clause_191])).
% 0.57/0.81 thf(zip_derived_cl5, plain, (![X0 : $i]: (LE @ (f @ X0) @ (s @ 0))),
% 0.57/0.81 inference('cnf', [status(esa)], [clause_199])).
% 0.57/0.81 thf(zip_derived_cl25, plain,
% 0.57/0.81 (![X0 : $i]: ( (E @ 0 @ (f @ (suc @ X0))) | (LE @ (f @ X0) @ 0))),
% 0.57/0.81 inference('demod', [status(thm)], [zip_derived_cl6, zip_derived_cl5])).
% 0.57/0.81 thf(zip_derived_cl70, plain,
% 0.57/0.81 (![X0 : $i]: ( (LE @ (f @ X0) @ 0) | ~ (E @ 0 @ (f @ X0)))),
% 0.57/0.81 inference('clc', [status(thm)], [zip_derived_cl68, zip_derived_cl25])).
% 0.57/0.81 thf(clause_17, axiom,
% 0.57/0.81 (( ~( LE @ ( f @ B_10 ) @ ( s @ 0 ) ) ) | ( E @ 0 @ ( f @ B_10 ) ) |
% 0.57/0.81 ( LE @ ( f @ B_10 ) @ 0 ))).
% 0.57/0.81 thf(zip_derived_cl11, plain,
% 0.57/0.81 (![X0 : $i]:
% 0.57/0.81 (~ (LE @ (f @ X0) @ (s @ 0))
% 0.57/0.81 | (E @ 0 @ (f @ X0))
% 0.57/0.81 | (LE @ (f @ X0) @ 0))),
% 0.57/0.81 inference('cnf', [status(esa)], [clause_17])).
% 0.57/0.81 thf(zip_derived_cl5, plain, (![X0 : $i]: (LE @ (f @ X0) @ (s @ 0))),
% 0.57/0.81 inference('cnf', [status(esa)], [clause_199])).
% 0.57/0.81 thf(zip_derived_cl23, plain,
% 0.57/0.81 (![X0 : $i]: ( (E @ 0 @ (f @ X0)) | (LE @ (f @ X0) @ 0))),
% 0.57/0.81 inference('demod', [status(thm)], [zip_derived_cl11, zip_derived_cl5])).
% 0.57/0.81 thf(zip_derived_cl71, plain, (![X0 : $i]: (LE @ (f @ X0) @ 0)),
% 0.57/0.81 inference('clc', [status(thm)], [zip_derived_cl70, zip_derived_cl23])).
% 0.57/0.81 thf(zip_derived_cl72, plain, ($false),
% 0.57/0.81 inference('demod', [status(thm)], [zip_derived_cl15, zip_derived_cl71])).
% 0.57/0.81
% 0.57/0.81 % SZS output end Refutation
% 0.57/0.81
% 0.57/0.81
% 0.57/0.81 % Terminating...
% 1.58/0.86 % Runner terminated.
% 1.58/0.87 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------