%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYO674-1 : 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.P0OIpgpRft true
% Computer : n028.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 05:08:07 PM UTC 2025
% Result : Unsatisfiable 0.58s 0.95s
% Output : Refutation 0.58s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SYO674-1 : TPTP v9.2.0. Released v7.3.0.
% 0.11/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.P0OIpgpRft true
% 0.14/0.33 % Computer : n028.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 300
% 0.14/0.33 % DateTime : Wed Oct 1 18:05:38 EDT 2025
% 0.14/0.33 % CPUTime :
% 0.14/0.33 % Running portfolio for 300 s
% 0.14/0.33 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.34 % Number of cores: 8
% 0.14/0.34 % Python version: Python 3.6.8
% 0.14/0.34 % 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
% 0.57/0.74 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.57/0.76 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.57/0.76 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.57/0.79 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.57/0.80 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.57/0.80 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.58/0.95 % Solved by fo/fo3_bce.sh.
% 0.58/0.95 % BCE start: 14
% 0.58/0.95 % BCE eliminated: 0
% 0.58/0.95 % PE start: 14
% 0.58/0.95 logic: neq
% 0.58/0.95 % PE eliminated: 0
% 0.58/0.95 % done 102 iterations in 0.167s
% 0.58/0.95 % SZS status Unsatisfiable for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.58/0.95 % SZS output start Refutation
% 0.58/0.95 thf(z_type, type, z: $i).
% 0.58/0.95 thf(f_type, type, f: $i > $i).
% 0.58/0.95 thf(0_type, type, 0: $i).
% 0.58/0.95 thf(s_type, type, s: $i > $i).
% 0.58/0.95 thf(E_type, type, E: $i > $i > $o).
% 0.58/0.95 thf(iLEQ_type, type, iLEQ: $i > $i > $o).
% 0.58/0.95 thf(LE_type, type, LE: $i > $i > $o).
% 0.58/0.95 thf(suc_type, type, suc: $i > $i).
% 0.58/0.95 thf(clause_281, axiom,
% 0.58/0.95 (( ~( E @ 0 @ ( f @ A_3 ) ) ) | ( ~( E @ 0 @ ( f @ ( suc @ A_3 ) ) ) ) |
% 0.58/0.95 ( iLEQ @ ( suc @ A_3 ) @ ( suc @ A_3 ) ))).
% 0.58/0.95 thf(zip_derived_cl2, plain,
% 0.58/0.95 (![X0 : $i]:
% 0.58/0.95 (~ (E @ 0 @ (f @ X0))
% 0.58/0.95 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.58/0.95 | (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 0.58/0.95 inference('cnf', [status(esa)], [clause_281])).
% 0.58/0.95 thf(clause_453, axiom,
% 0.58/0.95 (( ~( iLEQ @ ( suc @ A_3 ) @ ( suc @ B_254 ) ) ) |
% 0.58/0.95 ( ~( E @ 0 @ ( f @ B_254 ) ) ) |
% 0.58/0.95 ( ~( E @ 0 @ ( f @ ( suc @ B_257 ) ) ) ) |
% 0.58/0.95 ( ~( iLEQ @ ( suc @ B_255 ) @ ( suc @ B_256 ) ) ) |
% 0.58/0.95 ( ~( E @ 0 @ ( f @ B_258 ) ) ) |
% 0.58/0.95 ( ~( iLEQ @ ( suc @ B_256 ) @ ( suc @ B_257 ) ) ) |
% 0.58/0.95 ( ~( E @ 0 @ ( f @ A_3 ) ) ) | ( ~( E @ 0 @ ( f @ B_255 ) ) ) |
% 0.58/0.95 ( ~( E @ 0 @ ( f @ ( suc @ B_254 ) ) ) ) |
% 0.58/0.95 ( ~( iLEQ @ ( suc @ B_254 ) @ ( suc @ B_255 ) ) ) |
% 0.58/0.95 ( ~( E @ 0 @ ( f @ ( suc @ A_3 ) ) ) ) |
% 0.58/0.95 ( ~( E @ 0 @ ( f @ ( suc @ B_256 ) ) ) ) |
% 0.58/0.95 ( ~( iLEQ @ ( suc @ B_257 ) @ ( suc @ B_258 ) ) ) |
% 0.58/0.95 ( ~( E @ 0 @ ( f @ ( suc @ B_255 ) ) ) ) |
% 0.58/0.95 ( ~( E @ 0 @ ( f @ ( suc @ B_258 ) ) ) ) |
% 0.58/0.95 ( ~( E @ 0 @ ( f @ B_256 ) ) ) | ( ~( E @ 0 @ ( f @ B_257 ) ) ))).
% 0.58/0.95 thf(zip_derived_cl13, plain,
% 0.58/0.95 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 0.58/0.95 (~ (iLEQ @ (suc @ X0) @ (suc @ X1))
% 0.58/0.95 | ~ (E @ 0 @ (f @ X1))
% 0.58/0.95 | ~ (E @ 0 @ (f @ (suc @ X2)))
% 0.58/0.95 | ~ (iLEQ @ (suc @ X3) @ (suc @ X4))
% 0.58/0.95 | ~ (E @ 0 @ (f @ X5))
% 0.58/0.95 | ~ (iLEQ @ (suc @ X4) @ (suc @ X2))
% 0.58/0.95 | ~ (E @ 0 @ (f @ X0))
% 0.58/0.95 | ~ (E @ 0 @ (f @ X3))
% 0.58/0.95 | ~ (E @ 0 @ (f @ (suc @ X1)))
% 0.58/0.95 | ~ (iLEQ @ (suc @ X1) @ (suc @ X3))
% 0.58/0.95 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.58/0.95 | ~ (E @ 0 @ (f @ (suc @ X4)))
% 0.58/0.95 | ~ (iLEQ @ (suc @ X2) @ (suc @ X5))
% 0.58/0.95 | ~ (E @ 0 @ (f @ (suc @ X3)))
% 0.58/0.95 | ~ (E @ 0 @ (f @ (suc @ X5)))
% 0.58/0.95 | ~ (E @ 0 @ (f @ X4))
% 0.58/0.95 | ~ (E @ 0 @ (f @ X2)))),
% 0.58/0.95 inference('cnf', [status(esa)], [clause_453])).
% 0.58/0.95 thf(zip_derived_cl67, plain,
% 0.58/0.95 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.58/0.95 (~ (E @ 0 @ (f @ X2))
% 0.58/0.95 | ~ (E @ 0 @ (f @ X0))
% 0.58/0.95 | ~ (E @ 0 @ (f @ (suc @ X3)))
% 0.58/0.95 | ~ (E @ 0 @ (f @ (suc @ X1)))
% 0.58/0.95 | ~ (iLEQ @ (suc @ X2) @ (suc @ X3))
% 0.58/0.95 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.58/0.95 | ~ (E @ 0 @ (f @ (suc @ X1)))
% 0.58/0.95 | ~ (iLEQ @ (suc @ X0) @ (suc @ X1))
% 0.58/0.95 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.58/0.95 | ~ (E @ 0 @ (f @ X1))
% 0.58/0.95 | ~ (E @ 0 @ (f @ X1))
% 0.58/0.95 | ~ (iLEQ @ (suc @ X0) @ (suc @ X2))
% 0.58/0.95 | ~ (E @ 0 @ (f @ X3))
% 0.58/0.95 | ~ (iLEQ @ (suc @ X1) @ (suc @ X0))
% 0.58/0.95 | ~ (E @ 0 @ (f @ (suc @ X2)))
% 0.58/0.95 | ~ (E @ 0 @ (f @ X0)))),
% 0.58/0.95 inference('eq_fact', [status(thm)], [zip_derived_cl13])).
% 0.58/0.95 thf(zip_derived_cl71, plain,
% 0.58/0.95 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.58/0.95 (~ (E @ 0 @ (f @ (suc @ X2)))
% 0.58/0.95 | ~ (iLEQ @ (suc @ X1) @ (suc @ X0))
% 0.58/0.95 | ~ (E @ 0 @ (f @ X3))
% 0.58/0.95 | ~ (iLEQ @ (suc @ X0) @ (suc @ X2))
% 0.58/0.95 | ~ (E @ 0 @ (f @ X1))
% 0.58/0.95 | ~ (iLEQ @ (suc @ X0) @ (suc @ X1))
% 0.58/0.95 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.58/0.95 | ~ (iLEQ @ (suc @ X2) @ (suc @ X3))
% 0.58/0.95 | ~ (E @ 0 @ (f @ (suc @ X1)))
% 0.58/0.95 | ~ (E @ 0 @ (f @ (suc @ X3)))
% 0.58/0.95 | ~ (E @ 0 @ (f @ X0))
% 0.58/0.95 | ~ (E @ 0 @ (f @ X2)))),
% 0.58/0.95 inference('simplify', [status(thm)], [zip_derived_cl67])).
% 0.58/0.95 thf(zip_derived_cl132, plain,
% 0.58/0.95 (![X0 : $i, X1 : $i]:
% 0.58/0.95 (~ (E @ 0 @ (f @ X0))
% 0.58/0.95 | ~ (E @ 0 @ (f @ X0))
% 0.58/0.95 | ~ (E @ 0 @ (f @ (suc @ X1)))
% 0.58/0.95 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.58/0.95 | ~ (iLEQ @ (suc @ X0) @ (suc @ X1))
% 0.58/0.95 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.58/0.95 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 0.58/0.95 | ~ (E @ 0 @ (f @ X0))
% 0.58/0.95 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 0.58/0.95 | ~ (E @ 0 @ (f @ X1))
% 0.58/0.95 | ~ (E @ 0 @ (f @ (suc @ X0))))),
% 0.58/0.95 inference('eq_fact', [status(thm)], [zip_derived_cl71])).
% 0.58/0.95 thf(zip_derived_cl135, plain,
% 0.58/0.95 (![X0 : $i, X1 : $i]:
% 0.58/0.95 (~ (E @ 0 @ (f @ X1))
% 0.58/0.95 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 0.58/0.95 | ~ (iLEQ @ (suc @ X0) @ (suc @ X1))
% 0.58/0.95 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.58/0.95 | ~ (E @ 0 @ (f @ (suc @ X1)))
% 0.58/0.95 | ~ (E @ 0 @ (f @ X0)))),
% 0.58/0.95 inference('simplify', [status(thm)], [zip_derived_cl132])).
% 0.58/0.95 thf(zip_derived_cl2, plain,
% 0.58/0.95 (![X0 : $i]:
% 0.58/0.95 (~ (E @ 0 @ (f @ X0))
% 0.58/0.95 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.58/0.95 | (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 0.58/0.95 inference('cnf', [status(esa)], [clause_281])).
% 0.58/0.95 thf(zip_derived_cl140, plain,
% 0.58/0.95 (![X0 : $i, X1 : $i]:
% 0.58/0.95 (~ (E @ 0 @ (f @ X0))
% 0.58/0.95 | ~ (E @ 0 @ (f @ (suc @ X1)))
% 0.58/0.95 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.58/0.95 | ~ (iLEQ @ (suc @ X0) @ (suc @ X1))
% 0.58/0.95 | ~ (E @ 0 @ (f @ X1)))),
% 0.58/0.95 inference('clc', [status(thm)], [zip_derived_cl135, zip_derived_cl2])).
% 0.58/0.95 thf(zip_derived_cl143, plain,
% 0.58/0.95 (![X0 : $i]:
% 0.58/0.95 (~ (E @ 0 @ (f @ (suc @ X0)))
% 0.58/0.95 | ~ (E @ 0 @ (f @ X0))
% 0.58/0.95 | ~ (E @ 0 @ (f @ X0))
% 0.58/0.95 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.58/0.95 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 0.58/0.95 | ~ (E @ 0 @ (f @ X0)))),
% 0.58/0.95 inference('sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl140])).
% 0.58/0.95 thf(zip_derived_cl145, plain,
% 0.58/0.95 (![X0 : $i]: (~ (E @ 0 @ (f @ X0)) | ~ (E @ 0 @ (f @ (suc @ X0))))),
% 0.58/0.95 inference('simplify', [status(thm)], [zip_derived_cl143])).
% 0.58/0.95 thf(clause_126, axiom,
% 0.58/0.95 (( ~( E @ ( s @ ( s @ 0 ) ) @ ( f @ A_1 ) ) ) |
% 0.58/0.95 ( ~( E @ ( s @ ( s @ 0 ) ) @ ( f @ ( suc @ A_1 ) ) ) ) |
% 0.58/0.95 ( iLEQ @ ( suc @ A_1 ) @ ( suc @ A_1 ) ))).
% 0.58/0.95 thf(zip_derived_cl5, plain,
% 0.58/0.95 (![X0 : $i]:
% 0.58/0.95 (~ (E @ (s @ (s @ 0)) @ (f @ X0))
% 0.58/0.95 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 0.58/0.95 | (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 0.58/0.95 inference('cnf', [status(esa)], [clause_126])).
% 0.58/0.95 thf(clause_431, axiom,
% 0.58/0.95 (( ~( E @ ( s @ ( s @ 0 ) ) @ ( f @ A_1 ) ) ) |
% 0.58/0.95 ( ~( E @ ( s @ ( s @ 0 ) ) @ ( f @ ( suc @ B_163 ) ) ) ) |
% 0.58/0.95 ( ~( E @ ( s @ ( s @ 0 ) ) @ ( f @ B_159 ) ) ) |
% 0.58/0.95 ( ~( iLEQ @ ( suc @ B_160 ) @ ( suc @ B_161 ) ) ) |
% 0.58/0.95 ( ~( E @ ( s @ ( s @ 0 ) ) @ ( f @ ( suc @ A_1 ) ) ) ) |
% 0.58/0.95 ( ~( E @ ( s @ ( s @ 0 ) ) @ ( f @ B_162 ) ) ) |
% 0.58/0.95 ( ~( E @ ( s @ ( s @ 0 ) ) @ ( f @ B_163 ) ) ) |
% 0.58/0.95 ( ~( iLEQ @ ( suc @ B_159 ) @ ( suc @ B_160 ) ) ) |
% 0.58/0.95 ( ~( E @ ( s @ ( s @ 0 ) ) @ ( f @ ( suc @ B_161 ) ) ) ) |
% 0.58/0.95 ( ~( E @ ( s @ ( s @ 0 ) ) @ ( f @ ( suc @ B_160 ) ) ) ) |
% 0.58/0.95 ( ~( E @ ( s @ ( s @ 0 ) ) @ ( f @ ( suc @ B_162 ) ) ) ) |
% 0.58/0.95 ( ~( E @ ( s @ ( s @ 0 ) ) @ ( f @ B_160 ) ) ) |
% 0.58/0.95 ( ~( iLEQ @ ( suc @ B_161 ) @ ( suc @ B_162 ) ) ) |
% 0.58/0.95 ( ~( E @ ( s @ ( s @ 0 ) ) @ ( f @ B_161 ) ) ) |
% 0.58/0.95 ( ~( E @ ( s @ ( s @ 0 ) ) @ ( f @ ( suc @ B_159 ) ) ) ) |
% 0.58/0.95 ( ~( iLEQ @ ( suc @ B_162 ) @ ( suc @ B_163 ) ) ) |
% 0.58/0.95 ( ~( iLEQ @ ( suc @ A_1 ) @ ( suc @ B_159 ) ) ))).
% 0.58/0.95 thf(zip_derived_cl9, plain,
% 0.58/0.95 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 0.58/0.95 (~ (E @ (s @ (s @ 0)) @ (f @ X0))
% 0.58/0.95 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X1)))
% 0.58/0.95 | ~ (E @ (s @ (s @ 0)) @ (f @ X2))
% 0.58/0.95 | ~ (iLEQ @ (suc @ X3) @ (suc @ X4))
% 0.58/0.95 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 0.58/0.95 | ~ (E @ (s @ (s @ 0)) @ (f @ X5))
% 0.58/0.95 | ~ (E @ (s @ (s @ 0)) @ (f @ X1))
% 0.58/0.95 | ~ (iLEQ @ (suc @ X2) @ (suc @ X3))
% 0.58/0.95 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X4)))
% 0.58/0.95 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X3)))
% 0.58/0.95 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X5)))
% 0.58/0.95 | ~ (E @ (s @ (s @ 0)) @ (f @ X3))
% 0.58/0.95 | ~ (iLEQ @ (suc @ X4) @ (suc @ X5))
% 0.58/0.95 | ~ (E @ (s @ (s @ 0)) @ (f @ X4))
% 0.58/0.95 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X2)))
% 0.58/0.95 | ~ (iLEQ @ (suc @ X5) @ (suc @ X1))
% 0.58/0.95 | ~ (iLEQ @ (suc @ X0) @ (suc @ X2)))),
% 0.58/0.95 inference('cnf', [status(esa)], [clause_431])).
% 0.58/0.95 thf(zip_derived_cl49, plain,
% 0.58/0.95 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.58/0.95 (~ (iLEQ @ (suc @ X1) @ (suc @ X0))
% 0.58/0.95 | ~ (iLEQ @ (suc @ X3) @ (suc @ X2))
% 0.58/0.95 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 0.58/0.95 | ~ (E @ (s @ (s @ 0)) @ (f @ X0))
% 0.58/0.95 | ~ (iLEQ @ (suc @ X0) @ (suc @ X3))
% 0.58/0.95 | ~ (E @ (s @ (s @ 0)) @ (f @ X0))
% 0.58/0.95 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X3)))
% 0.58/0.95 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 0.58/0.95 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 0.58/0.95 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 0.58/0.95 | ~ (E @ (s @ (s @ 0)) @ (f @ X2))
% 0.58/0.95 | ~ (E @ (s @ (s @ 0)) @ (f @ X3))
% 0.58/0.95 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X1)))
% 0.58/0.95 | ~ (E @ (s @ (s @ 0)) @ (f @ X0))
% 0.58/0.95 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X2)))
% 0.58/0.95 | ~ (E @ (s @ (s @ 0)) @ (f @ X1)))),
% 0.58/0.95 inference('eq_fact', [status(thm)], [zip_derived_cl9])).
% 0.58/0.95 thf(zip_derived_cl53, plain,
% 0.58/0.95 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.58/0.95 (~ (E @ (s @ (s @ 0)) @ (f @ X1))
% 0.58/0.95 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X2)))
% 0.58/0.95 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X1)))
% 0.58/0.95 | ~ (E @ (s @ (s @ 0)) @ (f @ X3))
% 0.58/0.95 | ~ (E @ (s @ (s @ 0)) @ (f @ X2))
% 0.58/0.95 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 0.58/0.95 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X3)))
% 0.58/0.95 | ~ (iLEQ @ (suc @ X0) @ (suc @ X3))
% 0.58/0.95 | ~ (E @ (s @ (s @ 0)) @ (f @ X0))
% 0.58/0.95 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 0.58/0.95 | ~ (iLEQ @ (suc @ X3) @ (suc @ X2))
% 0.58/0.95 | ~ (iLEQ @ (suc @ X1) @ (suc @ X0)))),
% 0.58/0.95 inference('simplify', [status(thm)], [zip_derived_cl49])).
% 0.58/0.95 thf(zip_derived_cl159, plain,
% 0.58/0.95 (![X0 : $i, X1 : $i]:
% 0.58/0.95 (~ (iLEQ @ (suc @ X1) @ (suc @ X0))
% 0.58/0.95 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 0.58/0.95 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 0.58/0.95 | ~ (E @ (s @ (s @ 0)) @ (f @ X0))
% 0.58/0.95 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 0.58/0.95 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 0.58/0.95 | ~ (E @ (s @ (s @ 0)) @ (f @ X0))
% 0.58/0.95 | ~ (E @ (s @ (s @ 0)) @ (f @ X0))
% 0.58/0.95 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X1)))
% 0.58/0.95 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 0.58/0.95 | ~ (E @ (s @ (s @ 0)) @ (f @ X1)))),
% 0.58/0.95 inference('eq_fact', [status(thm)], [zip_derived_cl53])).
% 0.58/0.95 thf(zip_derived_cl162, plain,
% 0.58/0.95 (![X0 : $i, X1 : $i]:
% 0.58/0.95 (~ (E @ (s @ (s @ 0)) @ (f @ X1))
% 0.58/0.95 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X1)))
% 0.58/0.95 | ~ (E @ (s @ (s @ 0)) @ (f @ X0))
% 0.58/0.95 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 0.58/0.95 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 0.58/0.95 | ~ (iLEQ @ (suc @ X1) @ (suc @ X0)))),
% 0.58/0.95 inference('simplify', [status(thm)], [zip_derived_cl159])).
% 0.58/0.95 thf(zip_derived_cl5, plain,
% 0.58/0.95 (![X0 : $i]:
% 0.58/0.95 (~ (E @ (s @ (s @ 0)) @ (f @ X0))
% 0.58/0.95 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 0.58/0.95 | (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 0.58/0.95 inference('cnf', [status(esa)], [clause_126])).
% 0.58/0.95 thf(zip_derived_cl165, plain,
% 0.58/0.95 (![X0 : $i, X1 : $i]:
% 0.58/0.95 (~ (iLEQ @ (suc @ X1) @ (suc @ X0))
% 0.58/0.95 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 0.58/0.95 | ~ (E @ (s @ (s @ 0)) @ (f @ X0))
% 0.58/0.95 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X1)))
% 0.58/0.95 | ~ (E @ (s @ (s @ 0)) @ (f @ X1)))),
% 0.58/0.95 inference('clc', [status(thm)], [zip_derived_cl162, zip_derived_cl5])).
% 0.58/0.95 thf(zip_derived_cl167, plain,
% 0.58/0.95 (![X0 : $i]:
% 0.58/0.95 (~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 0.58/0.95 | ~ (E @ (s @ (s @ 0)) @ (f @ X0))
% 0.58/0.95 | ~ (E @ (s @ (s @ 0)) @ (f @ X0))
% 0.58/0.95 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 0.58/0.95 | ~ (E @ (s @ (s @ 0)) @ (f @ X0))
% 0.58/0.95 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0))))),
% 0.58/0.95 inference('sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl165])).
% 0.58/0.95 thf(zip_derived_cl168, plain,
% 0.58/0.95 (![X0 : $i]:
% 0.58/0.95 (~ (E @ (s @ (s @ 0)) @ (f @ X0))
% 0.58/0.95 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0))))),
% 0.58/0.95 inference('simplify', [status(thm)], [zip_derived_cl167])).
% 0.58/0.95 thf(clause_129, axiom,
% 0.58/0.95 (( ~( LE @ ( f @ ( suc @ B_158 ) ) @ ( s @ ( s @ ( s @ 0 ) ) ) ) ) |
% 0.58/0.95 ( E @ ( s @ ( s @ 0 ) ) @ ( f @ ( suc @ B_158 ) ) ) |
% 0.58/0.95 ( LE @ ( f @ B_158 ) @ ( s @ ( s @ 0 ) ) ))).
% 0.58/0.95 thf(zip_derived_cl8, plain,
% 0.58/0.95 (![X0 : $i]:
% 0.58/0.95 (~ (LE @ (f @ (suc @ X0)) @ (s @ (s @ (s @ 0))))
% 0.58/0.95 | (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 0.58/0.95 | (LE @ (f @ X0) @ (s @ (s @ 0))))),
% 0.58/0.95 inference('cnf', [status(esa)], [clause_129])).
% 0.58/0.95 thf(clause_498, axiom, (LE @ ( f @ A ) @ ( s @ ( s @ ( s @ 0 ) ) ))).
% 0.58/0.95 thf(zip_derived_cl6, plain,
% 0.58/0.95 (![X0 : $i]: (LE @ (f @ X0) @ (s @ (s @ (s @ 0))))),
% 0.58/0.95 inference('cnf', [status(esa)], [clause_498])).
% 0.58/0.95 thf(zip_derived_cl33, plain,
% 0.58/0.95 (![X0 : $i]:
% 0.58/0.95 ( (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 0.58/0.95 | (LE @ (f @ X0) @ (s @ (s @ 0))))),
% 0.58/0.95 inference('demod', [status(thm)], [zip_derived_cl8, zip_derived_cl6])).
% 0.58/0.95 thf(clause_84, axiom,
% 0.58/0.95 (( ~( LE @ ( f @ ( suc @ B_228 ) ) @ ( s @ ( s @ 0 ) ) ) ) |
% 0.58/0.95 ( E @ ( s @ 0 ) @ ( f @ ( suc @ B_228 ) ) ) |
% 0.58/0.95 ( LE @ ( f @ B_228 ) @ ( s @ 0 ) ))).
% 0.58/0.95 thf(zip_derived_cl11, plain,
% 0.58/0.95 (![X0 : $i]:
% 0.58/0.95 (~ (LE @ (f @ (suc @ X0)) @ (s @ (s @ 0)))
% 0.58/0.95 | (E @ (s @ 0) @ (f @ (suc @ X0)))
% 0.58/0.95 | (LE @ (f @ X0) @ (s @ 0)))),
% 0.58/0.95 inference('cnf', [status(esa)], [clause_84])).
% 0.58/0.95 thf(zip_derived_cl35, plain,
% 0.58/0.95 (![X0 : $i]:
% 0.58/0.95 ( (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ X0))))
% 0.58/0.95 | (LE @ (f @ X0) @ (s @ 0))
% 0.58/0.95 | (E @ (s @ 0) @ (f @ (suc @ X0))))),
% 0.58/0.95 inference('sup-', [status(thm)], [zip_derived_cl33, zip_derived_cl11])).
% 0.58/0.95 thf(clause_50, axiom,
% 0.58/0.95 (( ~( LE @ ( f @ ( suc @ B_253 ) ) @ ( s @ 0 ) ) ) |
% 0.58/0.95 ( E @ 0 @ ( f @ ( suc @ B_253 ) ) ) | ( LE @ ( f @ B_253 ) @ 0 ))).
% 0.58/0.95 thf(zip_derived_cl10, plain,
% 0.58/0.95 (![X0 : $i]:
% 0.58/0.95 (~ (LE @ (f @ (suc @ X0)) @ (s @ 0))
% 0.58/0.95 | (E @ 0 @ (f @ (suc @ X0)))
% 0.58/0.95 | (LE @ (f @ X0) @ 0))),
% 0.58/0.95 inference('cnf', [status(esa)], [clause_50])).
% 0.58/0.95 thf(zip_derived_cl81, plain,
% 0.58/0.95 (![X0 : $i]:
% 0.58/0.95 ( (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 0.58/0.95 | (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ (suc @ X0)))))
% 0.58/0.95 | (LE @ (f @ X0) @ 0)
% 0.58/0.95 | (E @ 0 @ (f @ (suc @ X0))))),
% 0.58/0.95 inference('sup-', [status(thm)], [zip_derived_cl35, zip_derived_cl10])).
% 0.58/0.95 thf(clause_204, axiom, (~( LE @ ( f @ z ) @ 0 ))).
% 0.58/0.95 thf(zip_derived_cl7, plain, (~ (LE @ (f @ z) @ 0)),
% 0.58/0.95 inference('cnf', [status(esa)], [clause_204])).
% 0.58/0.95 thf(zip_derived_cl128, plain,
% 0.58/0.95 (( (E @ 0 @ (f @ (suc @ z)))
% 0.58/0.95 | (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ (suc @ z)))))
% 0.58/0.95 | (E @ (s @ 0) @ (f @ (suc @ (suc @ z)))))),
% 0.58/0.95 inference('sup-', [status(thm)], [zip_derived_cl81, zip_derived_cl7])).
% 0.58/0.95 thf(zip_derived_cl176, plain,
% 0.58/0.95 ((~ (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ z))))
% 0.58/0.95 | (E @ (s @ 0) @ (f @ (suc @ (suc @ z))))
% 0.58/0.95 | (E @ 0 @ (f @ (suc @ z))))),
% 0.58/0.95 inference('sup+', [status(thm)], [zip_derived_cl168, zip_derived_cl128])).
% 0.58/0.95 thf(clause_139, axiom,
% 0.58/0.95 (( ~( LE @ ( f @ B_158 ) @ ( s @ ( s @ ( s @ 0 ) ) ) ) ) |
% 0.58/0.95 ( E @ ( s @ ( s @ 0 ) ) @ ( f @ B_158 ) ) |
% 0.58/0.95 ( LE @ ( f @ B_158 ) @ ( s @ ( s @ 0 ) ) ))).
% 0.58/0.95 thf(zip_derived_cl4, plain,
% 0.58/0.95 (![X0 : $i]:
% 0.58/0.95 (~ (LE @ (f @ X0) @ (s @ (s @ (s @ 0))))
% 0.58/0.95 | (E @ (s @ (s @ 0)) @ (f @ X0))
% 0.58/0.95 | (LE @ (f @ X0) @ (s @ (s @ 0))))),
% 0.58/0.95 inference('cnf', [status(esa)], [clause_139])).
% 0.58/0.95 thf(zip_derived_cl6, plain,
% 0.58/0.95 (![X0 : $i]: (LE @ (f @ X0) @ (s @ (s @ (s @ 0))))),
% 0.58/0.95 inference('cnf', [status(esa)], [clause_498])).
% 0.58/0.95 thf(zip_derived_cl28, plain,
% 0.58/0.95 (![X0 : $i]:
% 0.58/0.95 ( (E @ (s @ (s @ 0)) @ (f @ X0)) | (LE @ (f @ X0) @ (s @ (s @ 0))))),
% 0.58/0.95 inference('demod', [status(thm)], [zip_derived_cl4, zip_derived_cl6])).
% 0.58/0.95 thf(zip_derived_cl11, plain,
% 0.58/0.95 (![X0 : $i]:
% 0.58/0.95 (~ (LE @ (f @ (suc @ X0)) @ (s @ (s @ 0)))
% 0.58/0.95 | (E @ (s @ 0) @ (f @ (suc @ X0)))
% 0.58/0.95 | (LE @ (f @ X0) @ (s @ 0)))),
% 0.58/0.95 inference('cnf', [status(esa)], [clause_84])).
% 0.58/0.95 thf(zip_derived_cl30, plain,
% 0.58/0.95 (![X0 : $i]:
% 0.58/0.95 ( (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 0.58/0.95 | (LE @ (f @ X0) @ (s @ 0))
% 0.58/0.95 | (E @ (s @ 0) @ (f @ (suc @ X0))))),
% 0.58/0.95 inference('sup-', [status(thm)], [zip_derived_cl28, zip_derived_cl11])).
% 0.58/0.95 thf(zip_derived_cl10, plain,
% 0.58/0.95 (![X0 : $i]:
% 0.58/0.95 (~ (LE @ (f @ (suc @ X0)) @ (s @ 0))
% 0.58/0.95 | (E @ 0 @ (f @ (suc @ X0)))
% 0.58/0.95 | (LE @ (f @ X0) @ 0))),
% 0.58/0.95 inference('cnf', [status(esa)], [clause_50])).
% 0.58/0.95 thf(zip_derived_cl61, plain,
% 0.58/0.95 (![X0 : $i]:
% 0.58/0.95 ( (E @ (s @ 0) @ (f @ (suc @ (suc @ X0))))
% 0.58/0.95 | (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ X0))))
% 0.58/0.95 | (LE @ (f @ X0) @ 0)
% 0.58/0.95 | (E @ 0 @ (f @ (suc @ X0))))),
% 0.58/0.95 inference('sup-', [status(thm)], [zip_derived_cl30, zip_derived_cl10])).
% 0.58/0.95 thf(zip_derived_cl7, plain, (~ (LE @ (f @ z) @ 0)),
% 0.58/0.95 inference('cnf', [status(esa)], [clause_204])).
% 0.58/0.95 thf(zip_derived_cl126, plain,
% 0.58/0.95 (( (E @ 0 @ (f @ (suc @ z)))
% 0.58/0.95 | (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ z))))
% 0.58/0.95 | (E @ (s @ 0) @ (f @ (suc @ (suc @ z)))))),
% 0.58/0.95 inference('sup-', [status(thm)], [zip_derived_cl61, zip_derived_cl7])).
% 0.58/0.95 thf(zip_derived_cl192, plain,
% 0.58/0.95 (( (E @ 0 @ (f @ (suc @ z))) | (E @ (s @ 0) @ (f @ (suc @ (suc @ z)))))),
% 0.58/0.95 inference('clc', [status(thm)], [zip_derived_cl176, zip_derived_cl126])).
% 0.58/0.95 thf(clause_193, axiom,
% 0.58/0.95 (( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ B_233 ) ) ) ) |
% 0.58/0.95 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ B_232 ) ) ) ) |
% 0.58/0.95 ( ~( iLEQ @ ( suc @ B_230 ) @ ( suc @ B_231 ) ) ) |
% 0.58/0.95 ( ~( E @ ( s @ 0 ) @ ( f @ B_229 ) ) ) |
% 0.58/0.95 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ A_2 ) ) ) ) |
% 0.58/0.95 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ B_229 ) ) ) ) |
% 0.58/0.95 ( ~( E @ ( s @ 0 ) @ ( f @ B_232 ) ) ) |
% 0.58/0.95 ( ~( E @ ( s @ 0 ) @ ( f @ B_233 ) ) ) |
% 0.58/0.95 ( ~( E @ ( s @ 0 ) @ ( f @ B_231 ) ) ) |
% 0.58/0.95 ( ~( iLEQ @ ( suc @ A_2 ) @ ( suc @ B_229 ) ) ) |
% 0.58/0.95 ( ~( iLEQ @ ( suc @ B_229 ) @ ( suc @ B_230 ) ) ) |
% 0.58/0.95 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ B_231 ) ) ) ) |
% 0.58/0.95 ( ~( E @ ( s @ 0 ) @ ( f @ B_230 ) ) ) |
% 0.58/0.95 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ B_230 ) ) ) ) |
% 0.58/0.95 ( ~( iLEQ @ ( suc @ B_232 ) @ ( suc @ B_233 ) ) ) |
% 0.58/0.95 ( ~( E @ ( s @ 0 ) @ ( f @ A_2 ) ) ) |
% 0.58/0.95 ( ~( iLEQ @ ( suc @ B_231 ) @ ( suc @ B_232 ) ) ))).
% 0.58/0.95 thf(zip_derived_cl0, plain,
% 0.58/0.95 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 0.58/0.95 (~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 0.58/0.95 | ~ (E @ (s @ 0) @ (f @ (suc @ X1)))
% 0.58/0.95 | ~ (iLEQ @ (suc @ X2) @ (suc @ X3))
% 0.58/0.95 | ~ (E @ (s @ 0) @ (f @ X4))
% 0.58/0.95 | ~ (E @ (s @ 0) @ (f @ (suc @ X5)))
% 0.58/0.95 | ~ (E @ (s @ 0) @ (f @ (suc @ X4)))
% 0.58/0.95 | ~ (E @ (s @ 0) @ (f @ X1))
% 0.58/0.95 | ~ (E @ (s @ 0) @ (f @ X0))
% 0.58/0.95 | ~ (E @ (s @ 0) @ (f @ X3))
% 0.58/0.95 | ~ (iLEQ @ (suc @ X5) @ (suc @ X4))
% 0.58/0.95 | ~ (iLEQ @ (suc @ X4) @ (suc @ X2))
% 0.58/0.95 | ~ (E @ (s @ 0) @ (f @ (suc @ X3)))
% 0.58/0.95 | ~ (E @ (s @ 0) @ (f @ X2))
% 0.58/0.95 | ~ (E @ (s @ 0) @ (f @ (suc @ X2)))
% 0.58/0.95 | ~ (iLEQ @ (suc @ X1) @ (suc @ X0))
% 0.58/0.95 | ~ (E @ (s @ 0) @ (f @ X5))
% 0.58/0.95 | ~ (iLEQ @ (suc @ X3) @ (suc @ X1)))),
% 0.58/0.95 inference('cnf', [status(esa)], [clause_193])).
% 0.58/0.95 thf(zip_derived_cl16, plain,
% 0.58/0.95 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.58/0.95 (~ (iLEQ @ (suc @ X0) @ (suc @ X2))
% 0.58/0.95 | ~ (E @ (s @ 0) @ (f @ X1))
% 0.58/0.95 | ~ (iLEQ @ (suc @ X2) @ (suc @ X3))
% 0.58/0.95 | ~ (E @ (s @ 0) @ (f @ (suc @ X1)))
% 0.58/0.95 | ~ (E @ (s @ 0) @ (f @ X1))
% 0.58/0.95 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 0.58/0.95 | ~ (iLEQ @ (suc @ X0) @ (suc @ X1))
% 0.58/0.95 | ~ (iLEQ @ (suc @ X1) @ (suc @ X0))
% 0.58/0.95 | ~ (E @ (s @ 0) @ (f @ X0))
% 0.58/0.95 | ~ (E @ (s @ 0) @ (f @ X3))
% 0.58/0.95 | ~ (E @ (s @ 0) @ (f @ X2))
% 0.58/0.95 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 0.58/0.95 | ~ (E @ (s @ 0) @ (f @ (suc @ X1)))
% 0.58/0.95 | ~ (E @ (s @ 0) @ (f @ X0))
% 0.58/0.95 | ~ (E @ (s @ 0) @ (f @ (suc @ X2)))
% 0.58/0.95 | ~ (E @ (s @ 0) @ (f @ (suc @ X3))))),
% 0.58/0.95 inference('eq_fact', [status(thm)], [zip_derived_cl0])).
% 0.58/0.95 thf(zip_derived_cl20, plain,
% 0.58/0.95 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.58/0.95 (~ (E @ (s @ 0) @ (f @ (suc @ X3)))
% 0.58/0.95 | ~ (E @ (s @ 0) @ (f @ (suc @ X2)))
% 0.58/0.95 | ~ (E @ (s @ 0) @ (f @ X2))
% 0.58/0.95 | ~ (E @ (s @ 0) @ (f @ X3))
% 0.58/0.95 | ~ (E @ (s @ 0) @ (f @ X0))
% 0.58/0.95 | ~ (iLEQ @ (suc @ X1) @ (suc @ X0))
% 0.58/0.95 | ~ (iLEQ @ (suc @ X0) @ (suc @ X1))
% 0.58/0.95 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 0.58/0.95 | ~ (E @ (s @ 0) @ (f @ (suc @ X1)))
% 0.58/0.95 | ~ (iLEQ @ (suc @ X2) @ (suc @ X3))
% 0.58/0.95 | ~ (E @ (s @ 0) @ (f @ X1))
% 0.58/0.95 | ~ (iLEQ @ (suc @ X0) @ (suc @ X2)))),
% 0.58/0.95 inference('simplify', [status(thm)], [zip_derived_cl16])).
% 0.58/0.95 thf(zip_derived_cl90, plain,
% 0.58/0.95 (![X0 : $i, X1 : $i]:
% 0.58/0.95 (~ (iLEQ @ (suc @ X0) @ (suc @ X1))
% 0.58/0.95 | ~ (E @ (s @ 0) @ (f @ X1))
% 0.58/0.95 | ~ (iLEQ @ (suc @ X1) @ (suc @ X0))
% 0.58/0.95 | ~ (E @ (s @ 0) @ (f @ (suc @ X1)))
% 0.58/0.95 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 0.58/0.95 | ~ (iLEQ @ (suc @ X0) @ (suc @ X1))
% 0.58/0.95 | ~ (E @ (s @ 0) @ (f @ X0))
% 0.58/0.95 | ~ (E @ (s @ 0) @ (f @ X0))
% 0.58/0.95 | ~ (E @ (s @ 0) @ (f @ X1))
% 0.58/0.95 | ~ (E @ (s @ 0) @ (f @ (suc @ X1)))
% 0.58/0.95 | ~ (E @ (s @ 0) @ (f @ (suc @ X0))))),
% 0.58/0.95 inference('eq_fact', [status(thm)], [zip_derived_cl20])).
% 0.58/0.95 thf(zip_derived_cl93, plain,
% 0.58/0.95 (![X0 : $i, X1 : $i]:
% 0.58/0.95 (~ (E @ (s @ 0) @ (f @ X0))
% 0.58/0.95 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 0.58/0.95 | ~ (E @ (s @ 0) @ (f @ (suc @ X1)))
% 0.58/0.95 | ~ (iLEQ @ (suc @ X1) @ (suc @ X0))
% 0.58/0.95 | ~ (E @ (s @ 0) @ (f @ X1))
% 0.58/0.95 | ~ (iLEQ @ (suc @ X0) @ (suc @ X1)))),
% 0.58/0.95 inference('simplify', [status(thm)], [zip_derived_cl90])).
% 0.58/0.95 thf(zip_derived_cl101, plain,
% 0.58/0.95 (![X0 : $i]:
% 0.58/0.95 (~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 0.58/0.95 | ~ (E @ (s @ 0) @ (f @ X0))
% 0.58/0.95 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 0.58/0.95 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 0.58/0.95 | ~ (E @ (s @ 0) @ (f @ X0)))),
% 0.58/0.95 inference('eq_fact', [status(thm)], [zip_derived_cl93])).
% 0.58/0.95 thf(zip_derived_cl102, plain,
% 0.58/0.95 (![X0 : $i]:
% 0.58/0.95 (~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 0.58/0.95 | ~ (E @ (s @ 0) @ (f @ X0))
% 0.58/0.95 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 0.58/0.95 inference('simplify', [status(thm)], [zip_derived_cl101])).
% 0.58/0.95 thf(clause_493, axiom,
% 0.58/0.95 (( ~( E @ ( s @ 0 ) @ ( f @ A_2 ) ) ) |
% 0.58/0.95 ( ~( E @ ( s @ 0 ) @ ( f @ ( suc @ A_2 ) ) ) ) |
% 0.58/0.95 ( iLEQ @ ( suc @ A_2 ) @ ( suc @ A_2 ) ))).
% 0.58/0.95 thf(zip_derived_cl12, plain,
% 0.58/0.95 (![X0 : $i]:
% 0.58/0.95 (~ (E @ (s @ 0) @ (f @ X0))
% 0.58/0.95 | ~ (E @ (s @ 0) @ (f @ (suc @ X0)))
% 0.58/0.95 | (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 0.58/0.95 inference('cnf', [status(esa)], [clause_493])).
% 0.58/0.95 thf(zip_derived_cl106, plain,
% 0.58/0.95 (![X0 : $i]:
% 0.58/0.95 (~ (E @ (s @ 0) @ (f @ X0)) | ~ (E @ (s @ 0) @ (f @ (suc @ X0))))),
% 0.58/0.95 inference('clc', [status(thm)], [zip_derived_cl102, zip_derived_cl12])).
% 0.58/0.95 thf(zip_derived_cl193, plain,
% 0.58/0.95 (( (E @ 0 @ (f @ (suc @ z))) | ~ (E @ (s @ 0) @ (f @ (suc @ z))))),
% 0.58/0.95 inference('sup-', [status(thm)], [zip_derived_cl192, zip_derived_cl106])).
% 0.58/0.95 thf(zip_derived_cl168, plain,
% 0.58/0.95 (![X0 : $i]:
% 0.58/0.95 (~ (E @ (s @ (s @ 0)) @ (f @ X0))
% 0.58/0.95 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0))))),
% 0.58/0.95 inference('simplify', [status(thm)], [zip_derived_cl167])).
% 0.58/0.95 thf(zip_derived_cl33, plain,
% 0.58/0.95 (![X0 : $i]:
% 0.58/0.95 ( (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 0.58/0.95 | (LE @ (f @ X0) @ (s @ (s @ 0))))),
% 0.58/0.95 inference('demod', [status(thm)], [zip_derived_cl8, zip_derived_cl6])).
% 0.58/0.95 thf(clause_298, axiom,
% 0.58/0.95 (( ~( LE @ ( f @ B_228 ) @ ( s @ ( s @ 0 ) ) ) ) |
% 0.58/0.95 ( E @ ( s @ 0 ) @ ( f @ B_228 ) ) | ( LE @ ( f @ B_228 ) @ ( s @ 0 ) ))).
% 0.58/0.95 thf(zip_derived_cl1, plain,
% 0.58/0.95 (![X0 : $i]:
% 0.58/0.95 (~ (LE @ (f @ X0) @ (s @ (s @ 0)))
% 0.58/0.95 | (E @ (s @ 0) @ (f @ X0))
% 0.58/0.95 | (LE @ (f @ X0) @ (s @ 0)))),
% 0.58/0.95 inference('cnf', [status(esa)], [clause_298])).
% 0.58/0.95 thf(zip_derived_cl34, plain,
% 0.58/0.95 (![X0 : $i]:
% 0.58/0.95 ( (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 0.58/0.95 | (LE @ (f @ X0) @ (s @ 0))
% 0.58/0.95 | (E @ (s @ 0) @ (f @ X0)))),
% 0.58/0.95 inference('sup-', [status(thm)], [zip_derived_cl33, zip_derived_cl1])).
% 0.58/0.95 thf(zip_derived_cl10, plain,
% 0.58/0.95 (![X0 : $i]:
% 0.58/0.95 (~ (LE @ (f @ (suc @ X0)) @ (s @ 0))
% 0.58/0.95 | (E @ 0 @ (f @ (suc @ X0)))
% 0.58/0.95 | (LE @ (f @ X0) @ 0))),
% 0.58/0.95 inference('cnf', [status(esa)], [clause_50])).
% 0.58/0.95 thf(zip_derived_cl43, plain,
% 0.58/0.95 (![X0 : $i]:
% 0.58/0.95 ( (E @ (s @ 0) @ (f @ (suc @ X0)))
% 0.58/0.95 | (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ X0))))
% 0.58/0.95 | (LE @ (f @ X0) @ 0)
% 0.58/0.95 | (E @ 0 @ (f @ (suc @ X0))))),
% 0.58/0.95 inference('sup-', [status(thm)], [zip_derived_cl34, zip_derived_cl10])).
% 0.58/0.95 thf(zip_derived_cl7, plain, (~ (LE @ (f @ z) @ 0)),
% 0.58/0.95 inference('cnf', [status(esa)], [clause_204])).
% 0.58/0.95 thf(zip_derived_cl124, plain,
% 0.58/0.95 (( (E @ 0 @ (f @ (suc @ z)))
% 0.58/0.95 | (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ z))))
% 0.58/0.95 | (E @ (s @ 0) @ (f @ (suc @ z))))),
% 0.58/0.95 inference('sup-', [status(thm)], [zip_derived_cl43, zip_derived_cl7])).
% 0.58/0.95 thf(zip_derived_cl174, plain,
% 0.58/0.95 ((~ (E @ (s @ (s @ 0)) @ (f @ (suc @ z)))
% 0.58/0.95 | (E @ (s @ 0) @ (f @ (suc @ z)))
% 0.58/0.95 | (E @ 0 @ (f @ (suc @ z))))),
% 0.58/0.95 inference('sup+', [status(thm)], [zip_derived_cl168, zip_derived_cl124])).
% 0.58/0.95 thf(zip_derived_cl28, plain,
% 0.58/0.95 (![X0 : $i]:
% 0.58/0.95 ( (E @ (s @ (s @ 0)) @ (f @ X0)) | (LE @ (f @ X0) @ (s @ (s @ 0))))),
% 0.58/0.95 inference('demod', [status(thm)], [zip_derived_cl4, zip_derived_cl6])).
% 0.58/0.95 thf(zip_derived_cl1, plain,
% 0.58/0.95 (![X0 : $i]:
% 0.58/0.95 (~ (LE @ (f @ X0) @ (s @ (s @ 0)))
% 0.58/0.95 | (E @ (s @ 0) @ (f @ X0))
% 0.58/0.95 | (LE @ (f @ X0) @ (s @ 0)))),
% 0.58/0.95 inference('cnf', [status(esa)], [clause_298])).
% 0.58/0.95 thf(zip_derived_cl29, plain,
% 0.58/0.95 (![X0 : $i]:
% 0.58/0.95 ( (E @ (s @ (s @ 0)) @ (f @ X0))
% 0.58/0.95 | (LE @ (f @ X0) @ (s @ 0))
% 0.58/0.95 | (E @ (s @ 0) @ (f @ X0)))),
% 0.58/0.95 inference('sup-', [status(thm)], [zip_derived_cl28, zip_derived_cl1])).
% 0.58/0.95 thf(zip_derived_cl10, plain,
% 0.58/0.95 (![X0 : $i]:
% 0.58/0.95 (~ (LE @ (f @ (suc @ X0)) @ (s @ 0))
% 0.58/0.95 | (E @ 0 @ (f @ (suc @ X0)))
% 0.58/0.95 | (LE @ (f @ X0) @ 0))),
% 0.58/0.95 inference('cnf', [status(esa)], [clause_50])).
% 0.58/0.95 thf(zip_derived_cl39, plain,
% 0.58/0.95 (![X0 : $i]:
% 0.58/0.95 ( (E @ (s @ 0) @ (f @ (suc @ X0)))
% 0.58/0.95 | (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 0.58/0.95 | (LE @ (f @ X0) @ 0)
% 0.58/0.95 | (E @ 0 @ (f @ (suc @ X0))))),
% 0.58/0.95 inference('sup-', [status(thm)], [zip_derived_cl29, zip_derived_cl10])).
% 0.58/0.95 thf(zip_derived_cl7, plain, (~ (LE @ (f @ z) @ 0)),
% 0.58/0.95 inference('cnf', [status(esa)], [clause_204])).
% 0.58/0.95 thf(zip_derived_cl120, plain,
% 0.58/0.95 (( (E @ 0 @ (f @ (suc @ z)))
% 0.58/0.95 | (E @ (s @ (s @ 0)) @ (f @ (suc @ z)))
% 0.58/0.95 | (E @ (s @ 0) @ (f @ (suc @ z))))),
% 0.58/0.95 inference('sup-', [status(thm)], [zip_derived_cl39, zip_derived_cl7])).
% 0.58/0.95 thf(zip_derived_cl189, plain,
% 0.58/0.95 (( (E @ 0 @ (f @ (suc @ z))) | (E @ (s @ 0) @ (f @ (suc @ z))))),
% 0.58/0.95 inference('clc', [status(thm)], [zip_derived_cl174, zip_derived_cl120])).
% 0.58/0.95 thf(zip_derived_cl195, plain, ( (E @ 0 @ (f @ (suc @ z)))),
% 0.58/0.95 inference('clc', [status(thm)], [zip_derived_cl193, zip_derived_cl189])).
% 0.58/0.95 thf(zip_derived_cl197, plain, (~ (E @ 0 @ (f @ z))),
% 0.58/0.95 inference('sup+', [status(thm)], [zip_derived_cl145, zip_derived_cl195])).
% 0.58/0.95 thf(zip_derived_cl168, plain,
% 0.58/0.95 (![X0 : $i]:
% 0.58/0.95 (~ (E @ (s @ (s @ 0)) @ (f @ X0))
% 0.58/0.95 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0))))),
% 0.58/0.95 inference('simplify', [status(thm)], [zip_derived_cl167])).
% 0.58/0.95 thf(zip_derived_cl35, plain,
% 0.58/0.95 (![X0 : $i]:
% 0.58/0.95 ( (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ X0))))
% 0.58/0.95 | (LE @ (f @ X0) @ (s @ 0))
% 0.58/0.95 | (E @ (s @ 0) @ (f @ (suc @ X0))))),
% 0.58/0.95 inference('sup-', [status(thm)], [zip_derived_cl33, zip_derived_cl11])).
% 0.58/0.95 thf(clause_176, axiom,
% 0.58/0.95 (( ~( LE @ ( f @ B_253 ) @ ( s @ 0 ) ) ) | ( E @ 0 @ ( f @ B_253 ) ) |
% 0.58/0.95 ( LE @ ( f @ B_253 ) @ 0 ))).
% 0.58/0.95 thf(zip_derived_cl3, plain,
% 0.58/0.95 (![X0 : $i]:
% 0.58/0.95 (~ (LE @ (f @ X0) @ (s @ 0))
% 0.58/0.95 | (E @ 0 @ (f @ X0))
% 0.58/0.95 | (LE @ (f @ X0) @ 0))),
% 0.58/0.95 inference('cnf', [status(esa)], [clause_176])).
% 0.58/0.95 thf(zip_derived_cl80, plain,
% 0.58/0.95 (![X0 : $i]:
% 0.58/0.95 ( (E @ (s @ 0) @ (f @ (suc @ X0)))
% 0.58/0.95 | (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ X0))))
% 0.58/0.95 | (LE @ (f @ X0) @ 0)
% 0.58/0.95 | (E @ 0 @ (f @ X0)))),
% 0.58/0.95 inference('sup-', [status(thm)], [zip_derived_cl35, zip_derived_cl3])).
% 0.58/0.95 thf(zip_derived_cl7, plain, (~ (LE @ (f @ z) @ 0)),
% 0.58/0.95 inference('cnf', [status(esa)], [clause_204])).
% 0.58/0.95 thf(zip_derived_cl122, plain,
% 0.58/0.95 (( (E @ 0 @ (f @ z))
% 0.58/0.95 | (E @ (s @ (s @ 0)) @ (f @ (suc @ (suc @ z))))
% 0.58/0.95 | (E @ (s @ 0) @ (f @ (suc @ z))))),
% 0.58/0.95 inference('sup-', [status(thm)], [zip_derived_cl80, zip_derived_cl7])).
% 0.58/0.95 thf(zip_derived_cl173, plain,
% 0.58/0.95 ((~ (E @ (s @ (s @ 0)) @ (f @ (suc @ z)))
% 0.58/0.95 | (E @ (s @ 0) @ (f @ (suc @ z)))
% 0.58/0.95 | (E @ 0 @ (f @ z)))),
% 0.58/0.95 inference('sup+', [status(thm)], [zip_derived_cl168, zip_derived_cl122])).
% 0.58/0.95 thf(zip_derived_cl30, plain,
% 0.58/0.95 (![X0 : $i]:
% 0.58/0.95 ( (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 0.58/0.95 | (LE @ (f @ X0) @ (s @ 0))
% 0.58/0.95 | (E @ (s @ 0) @ (f @ (suc @ X0))))),
% 0.58/0.95 inference('sup-', [status(thm)], [zip_derived_cl28, zip_derived_cl11])).
% 0.58/0.95 thf(zip_derived_cl3, plain,
% 0.58/0.95 (![X0 : $i]:
% 0.58/0.95 (~ (LE @ (f @ X0) @ (s @ 0))
% 0.58/0.95 | (E @ 0 @ (f @ X0))
% 0.58/0.95 | (LE @ (f @ X0) @ 0))),
% 0.58/0.95 inference('cnf', [status(esa)], [clause_176])).
% 0.58/0.95 thf(zip_derived_cl60, plain,
% 0.58/0.95 (![X0 : $i]:
% 0.58/0.95 ( (E @ (s @ 0) @ (f @ (suc @ X0)))
% 0.58/0.95 | (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 0.58/0.95 | (LE @ (f @ X0) @ 0)
% 0.58/0.95 | (E @ 0 @ (f @ X0)))),
% 0.58/0.95 inference('sup-', [status(thm)], [zip_derived_cl30, zip_derived_cl3])).
% 0.58/0.95 thf(zip_derived_cl7, plain, (~ (LE @ (f @ z) @ 0)),
% 0.58/0.95 inference('cnf', [status(esa)], [clause_204])).
% 0.58/0.95 thf(zip_derived_cl118, plain,
% 0.58/0.95 (( (E @ 0 @ (f @ z))
% 0.58/0.95 | (E @ (s @ (s @ 0)) @ (f @ (suc @ z)))
% 0.58/0.95 | (E @ (s @ 0) @ (f @ (suc @ z))))),
% 0.58/0.95 inference('sup-', [status(thm)], [zip_derived_cl60, zip_derived_cl7])).
% 0.58/0.95 thf(zip_derived_cl185, plain,
% 0.58/0.95 (( (E @ 0 @ (f @ z)) | (E @ (s @ 0) @ (f @ (suc @ z))))),
% 0.58/0.95 inference('clc', [status(thm)], [zip_derived_cl173, zip_derived_cl118])).
% 0.58/0.95 thf(zip_derived_cl106, plain,
% 0.58/0.95 (![X0 : $i]:
% 0.58/0.95 (~ (E @ (s @ 0) @ (f @ X0)) | ~ (E @ (s @ 0) @ (f @ (suc @ X0))))),
% 0.58/0.95 inference('clc', [status(thm)], [zip_derived_cl102, zip_derived_cl12])).
% 0.58/0.95 thf(zip_derived_cl186, plain,
% 0.58/0.95 (( (E @ 0 @ (f @ z)) | ~ (E @ (s @ 0) @ (f @ z)))),
% 0.58/0.95 inference('sup-', [status(thm)], [zip_derived_cl185, zip_derived_cl106])).
% 0.58/0.95 thf(zip_derived_cl168, plain,
% 0.58/0.95 (![X0 : $i]:
% 0.58/0.95 (~ (E @ (s @ (s @ 0)) @ (f @ X0))
% 0.58/0.95 | ~ (E @ (s @ (s @ 0)) @ (f @ (suc @ X0))))),
% 0.58/0.95 inference('simplify', [status(thm)], [zip_derived_cl167])).
% 0.58/0.95 thf(zip_derived_cl34, plain,
% 0.58/0.95 (![X0 : $i]:
% 0.58/0.95 ( (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 0.58/0.95 | (LE @ (f @ X0) @ (s @ 0))
% 0.58/0.95 | (E @ (s @ 0) @ (f @ X0)))),
% 0.58/0.95 inference('sup-', [status(thm)], [zip_derived_cl33, zip_derived_cl1])).
% 0.58/0.95 thf(zip_derived_cl3, plain,
% 0.58/0.95 (![X0 : $i]:
% 0.58/0.95 (~ (LE @ (f @ X0) @ (s @ 0))
% 0.58/0.95 | (E @ 0 @ (f @ X0))
% 0.58/0.95 | (LE @ (f @ X0) @ 0))),
% 0.58/0.95 inference('cnf', [status(esa)], [clause_176])).
% 0.58/0.95 thf(zip_derived_cl42, plain,
% 0.58/0.95 (![X0 : $i]:
% 0.58/0.95 ( (E @ (s @ 0) @ (f @ X0))
% 0.58/0.95 | (E @ (s @ (s @ 0)) @ (f @ (suc @ X0)))
% 0.58/0.95 | (LE @ (f @ X0) @ 0)
% 0.58/0.95 | (E @ 0 @ (f @ X0)))),
% 0.58/0.95 inference('sup-', [status(thm)], [zip_derived_cl34, zip_derived_cl3])).
% 0.58/0.95 thf(zip_derived_cl7, plain, (~ (LE @ (f @ z) @ 0)),
% 0.58/0.95 inference('cnf', [status(esa)], [clause_204])).
% 0.58/0.95 thf(zip_derived_cl84, plain,
% 0.58/0.95 (( (E @ 0 @ (f @ z))
% 0.58/0.95 | (E @ (s @ (s @ 0)) @ (f @ (suc @ z)))
% 0.58/0.95 | (E @ (s @ 0) @ (f @ z)))),
% 0.58/0.95 inference('sup-', [status(thm)], [zip_derived_cl42, zip_derived_cl7])).
% 0.58/0.95 thf(zip_derived_cl170, plain,
% 0.58/0.95 ((~ (E @ (s @ (s @ 0)) @ (f @ z))
% 0.58/0.95 | (E @ (s @ 0) @ (f @ z))
% 0.58/0.95 | (E @ 0 @ (f @ z)))),
% 0.58/0.95 inference('sup+', [status(thm)], [zip_derived_cl168, zip_derived_cl84])).
% 0.58/0.95 thf(zip_derived_cl29, plain,
% 0.58/0.95 (![X0 : $i]:
% 0.58/0.95 ( (E @ (s @ (s @ 0)) @ (f @ X0))
% 0.58/0.95 | (LE @ (f @ X0) @ (s @ 0))
% 0.58/0.95 | (E @ (s @ 0) @ (f @ X0)))),
% 0.58/0.95 inference('sup-', [status(thm)], [zip_derived_cl28, zip_derived_cl1])).
% 0.58/0.95 thf(zip_derived_cl3, plain,
% 0.58/0.95 (![X0 : $i]:
% 0.58/0.95 (~ (LE @ (f @ X0) @ (s @ 0))
% 0.58/0.95 | (E @ 0 @ (f @ X0))
% 0.58/0.95 | (LE @ (f @ X0) @ 0))),
% 0.58/0.95 inference('cnf', [status(esa)], [clause_176])).
% 0.58/0.95 thf(zip_derived_cl38, plain,
% 0.58/0.95 (![X0 : $i]:
% 0.58/0.95 ( (E @ (s @ 0) @ (f @ X0))
% 0.58/0.95 | (E @ (s @ (s @ 0)) @ (f @ X0))
% 0.58/0.95 | (LE @ (f @ X0) @ 0)
% 0.58/0.95 | (E @ 0 @ (f @ X0)))),
% 0.58/0.95 inference('sup-', [status(thm)], [zip_derived_cl29, zip_derived_cl3])).
% 0.58/0.95 thf(zip_derived_cl7, plain, (~ (LE @ (f @ z) @ 0)),
% 0.58/0.95 inference('cnf', [status(esa)], [clause_204])).
% 0.58/0.95 thf(zip_derived_cl78, plain,
% 0.58/0.95 (( (E @ 0 @ (f @ z))
% 0.58/0.95 | (E @ (s @ (s @ 0)) @ (f @ z))
% 0.58/0.95 | (E @ (s @ 0) @ (f @ z)))),
% 0.58/0.95 inference('sup-', [status(thm)], [zip_derived_cl38, zip_derived_cl7])).
% 0.58/0.95 thf(zip_derived_cl184, plain,
% 0.58/0.95 (( (E @ 0 @ (f @ z)) | (E @ (s @ 0) @ (f @ z)))),
% 0.58/0.95 inference('clc', [status(thm)], [zip_derived_cl170, zip_derived_cl78])).
% 0.58/0.95 thf(zip_derived_cl188, plain, ( (E @ 0 @ (f @ z))),
% 0.58/0.95 inference('clc', [status(thm)], [zip_derived_cl186, zip_derived_cl184])).
% 0.58/0.95 thf(zip_derived_cl198, plain, ($false),
% 0.58/0.95 inference('demod', [status(thm)], [zip_derived_cl197, zip_derived_cl188])).
% 0.58/0.95
% 0.58/0.95 % SZS output end Refutation
% 0.58/0.95
% 0.58/0.95
% 0.58/0.95 % Terminating...
% 0.63/1.08 % Runner terminated.
% 1.87/1.10 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------