%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYO653-1 : TPTP v9.2.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.abUNImmCqD true
% Computer : n023.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 05:08:05 PM UTC 2025
% Result : Unsatisfiable 3.96s 1.20s
% Output : Refutation 3.96s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : SYO653-1 : TPTP v9.2.0. Released v7.3.0.
% 0.08/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.abUNImmCqD true
% 0.14/0.34 % Computer : n023.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 18:18:53 EDT 2025
% 0.14/0.34 % CPUTime :
% 0.14/0.34 % Running portfolio for 300 s
% 0.14/0.34 % File : /export/starexec/sandbox2/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
% 0.55/0.64 % Total configuration time : 435
% 0.55/0.64 % Estimated wc time : 1092
% 0.55/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.57/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.57/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.57/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.57/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.57/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.57/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.58/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.58/0.81 % /export/starexec/sandbox2/solver/bin/fo/fo1_lcnf.sh running for 50s
% 3.96/1.20 % Solved by fo/fo1_av.sh.
% 3.96/1.20 % done 101 iterations in 0.418s
% 3.96/1.20 % SZS status Unsatisfiable for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 3.96/1.20 % SZS output start Refutation
% 3.96/1.20 thf(suc_type, type, suc: $i > $i).
% 3.96/1.20 thf(f_type, type, f: $i > $i).
% 3.96/1.20 thf(LE_type, type, LE: $i > $i > $o).
% 3.96/1.20 thf(iLEQ_type, type, iLEQ: $i > $i > $o).
% 3.96/1.20 thf(z_type, type, z: $i).
% 3.96/1.20 thf(s_type, type, s: $i > $i).
% 3.96/1.20 thf(0_type, type, 0: $i).
% 3.96/1.20 thf(E_type, type, E: $i > $i > $o).
% 3.96/1.20 thf(clause_1528, axiom,
% 3.96/1.20 (( ~( LE @ ( f @ ( suc @ ( suc @ ( suc @ B_10 ) ) ) ) @ ( s @ 0 ) ) ) |
% 3.96/1.20 ( E @ 0 @ ( f @ ( suc @ ( suc @ ( suc @ B_10 ) ) ) ) ) |
% 3.96/1.20 ( LE @ ( f @ B_10 ) @ 0 ))).
% 3.96/1.20 thf(zip_derived_cl58, plain,
% 3.96/1.20 (![X0 : $i]:
% 3.96/1.20 (~ (LE @ (f @ (suc @ (suc @ (suc @ X0)))) @ (s @ 0))
% 3.96/1.20 | (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0)))))
% 3.96/1.20 | (LE @ (f @ X0) @ 0))),
% 3.96/1.20 inference('cnf', [status(esa)], [clause_1528])).
% 3.96/1.20 thf(clause_2036, axiom, (LE @ ( f @ A ) @ ( s @ 0 ))).
% 3.96/1.20 thf(zip_derived_cl29, plain, (![X0 : $i]: (LE @ (f @ X0) @ (s @ 0))),
% 3.96/1.20 inference('cnf', [status(esa)], [clause_2036])).
% 3.96/1.20 thf(zip_derived_cl108, plain,
% 3.96/1.20 (![X0 : $i]:
% 3.96/1.20 ( (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0))))) | (LE @ (f @ X0) @ 0))),
% 3.96/1.20 inference('demod', [status(thm)], [zip_derived_cl58, zip_derived_cl29])).
% 3.96/1.20 thf(clause_1057, axiom, (~( LE @ ( f @ z ) @ 0 ))).
% 3.96/1.20 thf(zip_derived_cl20, plain, (~ (LE @ (f @ z) @ 0)),
% 3.96/1.20 inference('cnf', [status(esa)], [clause_1057])).
% 3.96/1.20 thf(zip_derived_cl109, plain, ( (E @ 0 @ (f @ (suc @ (suc @ (suc @ z)))))),
% 3.96/1.20 inference('s_sup-', [status(thm)], [zip_derived_cl108, zip_derived_cl20])).
% 3.96/1.20 thf(clause_972, axiom,
% 3.96/1.20 (( ~( E @ 0 @ ( f @ ( suc @ ( suc @ ( suc @ A_1 ) ) ) ) ) ) |
% 3.96/1.20 ( ~( E @ 0 @ ( f @ ( suc @ A_1 ) ) ) ) |
% 3.96/1.20 ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ A_1 ) ) ) ) ) |
% 3.96/1.20 ( ~( E @ 0 @ ( f @ A_1 ) ) ) |
% 3.96/1.20 ( ~( E @ ( f @ A_1 ) @ ( f @ ( suc @ ( suc @ A_1 ) ) ) ) ) |
% 3.96/1.20 ( ~( E @ ( f @ A_1 ) @ ( f @ ( suc @ A_1 ) ) ) ) |
% 3.96/1.20 ( iLEQ @ ( suc @ A_1 ) @ ( suc @ A_1 ) ))).
% 3.96/1.20 thf(zip_derived_cl79, plain,
% 3.96/1.20 (![X0 : $i]:
% 3.96/1.20 (~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0)))))
% 3.96/1.20 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 3.96/1.20 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 3.96/1.20 | ~ (E @ 0 @ (f @ X0))
% 3.96/1.20 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 3.96/1.20 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 3.96/1.20 | (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 3.96/1.20 inference('cnf', [status(esa)], [clause_972])).
% 3.96/1.20 thf(clause_1719, axiom,
% 3.96/1.20 (( ~( E @ 0 @ ( f @ ( suc @ ( suc @ A_1 ) ) ) ) ) |
% 3.96/1.20 ( ~( E @ 0 @ ( f @ ( suc @ A_1 ) ) ) ) |
% 3.96/1.20 ( ~( E @ ( f @ A_1 ) @ ( f @ ( suc @ A_1 ) ) ) ) |
% 3.96/1.20 ( ~( E @ 0 @ ( f @ A_1 ) ) ) |
% 3.96/1.20 ( E @ ( f @ A_1 ) @ ( f @ ( suc @ ( suc @ A_1 ) ) ) ) |
% 3.96/1.20 ( iLEQ @ ( suc @ A_1 ) @ ( suc @ A_1 ) ))).
% 3.96/1.20 thf(zip_derived_cl19, plain,
% 3.96/1.20 (![X0 : $i]:
% 3.96/1.20 (~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 3.96/1.20 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 3.96/1.20 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 3.96/1.20 | ~ (E @ 0 @ (f @ X0))
% 3.96/1.20 | (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 3.96/1.20 | (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 3.96/1.20 inference('cnf', [status(esa)], [clause_1719])).
% 3.96/1.20 thf(clause_354, axiom,
% 3.96/1.20 (( ~( E @ 0 @ ( f @ A_1 ) ) ) | ( ~( E @ 0 @ ( f @ ( suc @ A_1 ) ) ) ) |
% 3.96/1.20 ( E @ ( f @ A_1 ) @ ( f @ ( suc @ A_1 ) ) ) |
% 3.96/1.20 ( iLEQ @ ( suc @ A_1 ) @ ( suc @ A_1 ) ))).
% 3.96/1.20 thf(zip_derived_cl83, plain,
% 3.96/1.20 (![X0 : $i]:
% 3.96/1.20 (~ (E @ 0 @ (f @ X0))
% 3.96/1.20 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 3.96/1.20 | (E @ (f @ X0) @ (f @ (suc @ X0)))
% 3.96/1.20 | (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 3.96/1.20 inference('cnf', [status(esa)], [clause_354])).
% 3.96/1.20 thf(zip_derived_cl110, plain,
% 3.96/1.20 (![X0 : $i]:
% 3.96/1.20 ( (iLEQ @ (suc @ X0) @ (suc @ X0))
% 3.96/1.20 | (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 3.96/1.20 | ~ (E @ 0 @ (f @ X0))
% 3.96/1.20 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 3.96/1.20 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0)))))),
% 3.96/1.20 inference('clc', [status(thm)], [zip_derived_cl19, zip_derived_cl83])).
% 3.96/1.20 thf(zip_derived_cl115, plain,
% 3.96/1.20 (![X0 : $i]:
% 3.96/1.20 ( (iLEQ @ (suc @ X0) @ (suc @ X0))
% 3.96/1.20 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 3.96/1.20 | ~ (E @ 0 @ (f @ X0))
% 3.96/1.20 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 3.96/1.20 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 3.96/1.20 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0))))))),
% 3.96/1.20 inference('clc', [status(thm)], [zip_derived_cl79, zip_derived_cl110])).
% 3.96/1.20 thf(zip_derived_cl83, plain,
% 3.96/1.20 (![X0 : $i]:
% 3.96/1.20 (~ (E @ 0 @ (f @ X0))
% 3.96/1.20 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 3.96/1.20 | (E @ (f @ X0) @ (f @ (suc @ X0)))
% 3.96/1.20 | (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 3.96/1.20 inference('cnf', [status(esa)], [clause_354])).
% 3.96/1.20 thf(zip_derived_cl116, plain,
% 3.96/1.20 (![X0 : $i]:
% 3.96/1.20 (~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0)))))
% 3.96/1.20 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 3.96/1.20 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 3.96/1.20 | ~ (E @ 0 @ (f @ X0))
% 3.96/1.20 | (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 3.96/1.20 inference('clc', [status(thm)], [zip_derived_cl115, zip_derived_cl83])).
% 3.96/1.20 thf(zip_derived_cl117, plain,
% 3.96/1.20 ((~ (E @ 0 @ (f @ (suc @ z)))
% 3.96/1.20 | ~ (E @ 0 @ (f @ (suc @ (suc @ z))))
% 3.96/1.20 | ~ (E @ 0 @ (f @ z))
% 3.96/1.20 | (iLEQ @ (suc @ z) @ (suc @ z)))),
% 3.96/1.20 inference('s_sup-', [status(thm)], [zip_derived_cl109, zip_derived_cl116])).
% 3.96/1.20 thf(clause_1983, axiom,
% 3.96/1.20 (( ~( LE @ ( f @ ( suc @ B_10 ) ) @ ( s @ 0 ) ) ) |
% 3.96/1.20 ( E @ 0 @ ( f @ ( suc @ B_10 ) ) ) | ( LE @ ( f @ B_10 ) @ 0 ))).
% 3.96/1.20 thf(zip_derived_cl49, plain,
% 3.96/1.20 (![X0 : $i]:
% 3.96/1.20 (~ (LE @ (f @ (suc @ X0)) @ (s @ 0))
% 3.96/1.20 | (E @ 0 @ (f @ (suc @ X0)))
% 3.96/1.20 | (LE @ (f @ X0) @ 0))),
% 3.96/1.20 inference('cnf', [status(esa)], [clause_1983])).
% 3.96/1.20 thf(zip_derived_cl29, plain, (![X0 : $i]: (LE @ (f @ X0) @ (s @ 0))),
% 3.96/1.20 inference('cnf', [status(esa)], [clause_2036])).
% 3.96/1.20 thf(zip_derived_cl92, plain,
% 3.96/1.20 (![X0 : $i]: ( (E @ 0 @ (f @ (suc @ X0))) | (LE @ (f @ X0) @ 0))),
% 3.96/1.20 inference('demod', [status(thm)], [zip_derived_cl49, zip_derived_cl29])).
% 3.96/1.20 thf(zip_derived_cl20, plain, (~ (LE @ (f @ z) @ 0)),
% 3.96/1.20 inference('cnf', [status(esa)], [clause_1057])).
% 3.96/1.20 thf(zip_derived_cl93, plain, ( (E @ 0 @ (f @ (suc @ z)))),
% 3.96/1.20 inference('s_sup-', [status(thm)], [zip_derived_cl92, zip_derived_cl20])).
% 3.96/1.20 thf(clause_38, axiom,
% 3.96/1.20 (( ~( LE @ ( f @ ( suc @ ( suc @ B_10 ) ) ) @ ( s @ 0 ) ) ) |
% 3.96/1.20 ( E @ 0 @ ( f @ ( suc @ ( suc @ B_10 ) ) ) ) | ( LE @ ( f @ B_10 ) @ 0 ))).
% 3.96/1.20 thf(zip_derived_cl74, plain,
% 3.96/1.20 (![X0 : $i]:
% 3.96/1.20 (~ (LE @ (f @ (suc @ (suc @ X0))) @ (s @ 0))
% 3.96/1.20 | (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 3.96/1.20 | (LE @ (f @ X0) @ 0))),
% 3.96/1.20 inference('cnf', [status(esa)], [clause_38])).
% 3.96/1.20 thf(zip_derived_cl29, plain, (![X0 : $i]: (LE @ (f @ X0) @ (s @ 0))),
% 3.96/1.20 inference('cnf', [status(esa)], [clause_2036])).
% 3.96/1.20 thf(zip_derived_cl106, plain,
% 3.96/1.20 (![X0 : $i]: ( (E @ 0 @ (f @ (suc @ (suc @ X0)))) | (LE @ (f @ X0) @ 0))),
% 3.96/1.20 inference('demod', [status(thm)], [zip_derived_cl74, zip_derived_cl29])).
% 3.96/1.20 thf(zip_derived_cl20, plain, (~ (LE @ (f @ z) @ 0)),
% 3.96/1.20 inference('cnf', [status(esa)], [clause_1057])).
% 3.96/1.20 thf(zip_derived_cl107, plain, ( (E @ 0 @ (f @ (suc @ (suc @ z))))),
% 3.96/1.20 inference('s_sup-', [status(thm)], [zip_derived_cl106, zip_derived_cl20])).
% 3.96/1.20 thf(clause_148, axiom,
% 3.96/1.20 (( ~( LE @ ( f @ B_10 ) @ ( s @ 0 ) ) ) | ( E @ 0 @ ( f @ B_10 ) ) |
% 3.96/1.20 ( LE @ ( f @ B_10 ) @ 0 ))).
% 3.96/1.20 thf(zip_derived_cl53, plain,
% 3.96/1.20 (![X0 : $i]:
% 3.96/1.20 (~ (LE @ (f @ X0) @ (s @ 0))
% 3.96/1.20 | (E @ 0 @ (f @ X0))
% 3.96/1.20 | (LE @ (f @ X0) @ 0))),
% 3.96/1.20 inference('cnf', [status(esa)], [clause_148])).
% 3.96/1.20 thf(zip_derived_cl29, plain, (![X0 : $i]: (LE @ (f @ X0) @ (s @ 0))),
% 3.96/1.20 inference('cnf', [status(esa)], [clause_2036])).
% 3.96/1.20 thf(zip_derived_cl90, plain,
% 3.96/1.20 (![X0 : $i]: ( (E @ 0 @ (f @ X0)) | (LE @ (f @ X0) @ 0))),
% 3.96/1.20 inference('demod', [status(thm)], [zip_derived_cl53, zip_derived_cl29])).
% 3.96/1.20 thf(zip_derived_cl20, plain, (~ (LE @ (f @ z) @ 0)),
% 3.96/1.20 inference('cnf', [status(esa)], [clause_1057])).
% 3.96/1.20 thf(zip_derived_cl91, plain, ( (E @ 0 @ (f @ z))),
% 3.96/1.20 inference('s_sup-', [status(thm)], [zip_derived_cl90, zip_derived_cl20])).
% 3.96/1.20 thf(zip_derived_cl118, plain, ( (iLEQ @ (suc @ z) @ (suc @ z))),
% 3.96/1.20 inference('demod', [status(thm)],
% 3.96/1.20 [zip_derived_cl117, zip_derived_cl93, zip_derived_cl107,
% 3.96/1.20 zip_derived_cl91])).
% 3.96/1.20 thf(clause_1384, axiom,
% 3.96/1.20 (( ~( E @ 0 @ ( f @ ( suc @ B_11 ) ) ) ) |
% 3.96/1.20 ( ~( iLEQ @ ( suc @ B_12 ) @ ( suc @ B_13 ) ) ) |
% 3.96/1.20 ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ B_11 ) ) ) ) ) |
% 3.96/1.20 ( ~( E @ 0 @ ( f @ ( suc @ A_1 ) ) ) ) |
% 3.96/1.20 ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ A_1 ) ) ) ) ) |
% 3.96/1.20 ( ~( E @ 0 @ ( f @ B_11 ) ) ) | ( ~( E @ 0 @ ( f @ A_1 ) ) ) |
% 3.96/1.20 ( ~( E @ 0 @ ( f @ B_13 ) ) ) | ( ~( E @ 0 @ ( f @ ( suc @ B_12 ) ) ) ) |
% 3.96/1.20 ( ~( E @ ( f @ B_12 ) @ ( f @ ( suc @ B_12 ) ) ) ) |
% 3.96/1.20 ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ B_12 ) ) ) ) ) |
% 3.96/1.20 ( ~( E @ ( f @ A_1 ) @ ( f @ ( suc @ A_1 ) ) ) ) |
% 3.96/1.20 ( ~( E @ ( f @ B_11 ) @ ( f @ ( suc @ B_11 ) ) ) ) |
% 3.96/1.20 ( ~( iLEQ @ ( suc @ A_1 ) @ ( suc @ B_11 ) ) ) |
% 3.96/1.20 ( ~( E @ 0 @ ( f @ ( suc @ B_13 ) ) ) ) | ( ~( E @ 0 @ ( f @ B_12 ) ) ) |
% 3.96/1.20 ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ B_13 ) ) ) ) ) |
% 3.96/1.20 ( ~( E @ ( f @ B_13 ) @ ( f @ ( suc @ B_13 ) ) ) ) |
% 3.96/1.20 ( ~( iLEQ @ ( suc @ B_11 ) @ ( suc @ B_12 ) ) ) |
% 3.96/1.20 ( E @ ( f @ A_1 ) @ ( f @ ( suc @ ( suc @ A_1 ) ) ) ) |
% 3.96/1.20 ( E @ ( f @ B_11 ) @ ( f @ ( suc @ ( suc @ B_11 ) ) ) ) |
% 3.96/1.20 ( E @ ( f @ B_12 ) @ ( f @ ( suc @ ( suc @ B_12 ) ) ) ) |
% 3.96/1.20 ( E @ ( f @ B_13 ) @ ( f @ ( suc @ ( suc @ B_13 ) ) ) ))).
% 3.96/1.20 thf(zip_derived_cl67, plain,
% 3.96/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 3.96/1.20 (~ (E @ 0 @ (f @ (suc @ X0)))
% 3.96/1.20 | ~ (iLEQ @ (suc @ X1) @ (suc @ X2))
% 3.96/1.20 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 3.96/1.20 | ~ (E @ 0 @ (f @ (suc @ X3)))
% 3.96/1.20 | ~ (E @ 0 @ (f @ (suc @ (suc @ X3))))
% 3.96/1.20 | ~ (E @ 0 @ (f @ X0))
% 3.96/1.20 | ~ (E @ 0 @ (f @ X3))
% 3.96/1.20 | ~ (E @ 0 @ (f @ X2))
% 3.96/1.20 | ~ (E @ 0 @ (f @ (suc @ X1)))
% 3.96/1.20 | ~ (E @ (f @ X1) @ (f @ (suc @ X1)))
% 3.96/1.20 | ~ (E @ 0 @ (f @ (suc @ (suc @ X1))))
% 3.96/1.20 | ~ (E @ (f @ X3) @ (f @ (suc @ X3)))
% 3.96/1.20 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 3.96/1.20 | ~ (iLEQ @ (suc @ X3) @ (suc @ X0))
% 3.96/1.20 | ~ (E @ 0 @ (f @ (suc @ X2)))
% 3.96/1.20 | ~ (E @ 0 @ (f @ X1))
% 3.96/1.20 | ~ (E @ 0 @ (f @ (suc @ (suc @ X2))))
% 3.96/1.20 | ~ (E @ (f @ X2) @ (f @ (suc @ X2)))
% 3.96/1.20 | ~ (iLEQ @ (suc @ X0) @ (suc @ X1))
% 3.96/1.20 | (E @ (f @ X3) @ (f @ (suc @ (suc @ X3))))
% 3.96/1.20 | (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 3.96/1.20 | (E @ (f @ X1) @ (f @ (suc @ (suc @ X1))))
% 3.96/1.20 | (E @ (f @ X2) @ (f @ (suc @ (suc @ X2)))))),
% 3.96/1.20 inference('cnf', [status(esa)], [clause_1384])).
% 3.96/1.20 thf(zip_derived_cl237, plain,
% 3.96/1.20 (![X0 : $i, X1 : $i]:
% 3.96/1.20 ( (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 3.96/1.20 | (E @ (f @ X1) @ (f @ (suc @ (suc @ X1))))
% 3.96/1.20 | (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 3.96/1.20 | (E @ (f @ X1) @ (f @ (suc @ (suc @ X1))))
% 3.96/1.20 | ~ (iLEQ @ (suc @ X0) @ (suc @ X1))
% 3.96/1.20 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 3.96/1.20 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 3.96/1.20 | ~ (E @ 0 @ (f @ X1))
% 3.96/1.20 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 3.96/1.20 | ~ (iLEQ @ (suc @ X1) @ (suc @ X0))
% 3.96/1.20 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 3.96/1.20 | ~ (E @ (f @ X1) @ (f @ (suc @ X1)))
% 3.96/1.20 | ~ (E @ 0 @ (f @ (suc @ (suc @ X1))))
% 3.96/1.20 | ~ (E @ (f @ X1) @ (f @ (suc @ X1)))
% 3.96/1.20 | ~ (E @ 0 @ (f @ (suc @ X1)))
% 3.96/1.20 | ~ (E @ 0 @ (f @ X0))
% 3.96/1.20 | ~ (E @ 0 @ (f @ X1))
% 3.96/1.20 | ~ (E @ 0 @ (f @ X0))
% 3.96/1.20 | ~ (E @ 0 @ (f @ (suc @ (suc @ X1))))
% 3.96/1.20 | ~ (E @ 0 @ (f @ (suc @ X1)))
% 3.96/1.20 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 3.96/1.20 | ~ (E @ 0 @ (f @ (suc @ X0))))),
% 3.96/1.20 inference('eq_fact', [status(thm)], [zip_derived_cl67])).
% 3.96/1.20 thf(zip_derived_cl238, plain,
% 3.96/1.20 (![X0 : $i, X1 : $i]:
% 3.96/1.20 (~ (E @ 0 @ (f @ X0))
% 3.96/1.20 | ~ (E @ 0 @ (f @ (suc @ X1)))
% 3.96/1.20 | ~ (E @ 0 @ (f @ (suc @ (suc @ X1))))
% 3.96/1.20 | ~ (E @ (f @ X1) @ (f @ (suc @ X1)))
% 3.96/1.20 | ~ (iLEQ @ (suc @ X1) @ (suc @ X0))
% 3.96/1.20 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 3.96/1.20 | ~ (E @ 0 @ (f @ X1))
% 3.96/1.20 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 3.96/1.20 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 3.96/1.20 | ~ (iLEQ @ (suc @ X0) @ (suc @ X1))
% 3.96/1.20 | (E @ (f @ X1) @ (f @ (suc @ (suc @ X1))))
% 3.96/1.20 | (E @ (f @ X0) @ (f @ (suc @ (suc @ X0)))))),
% 3.96/1.20 inference('simplify', [status(thm)], [zip_derived_cl237])).
% 3.96/1.20 thf(zip_derived_cl241, plain,
% 3.96/1.20 ((~ (E @ 0 @ (f @ z))
% 3.96/1.20 | ~ (E @ 0 @ (f @ (suc @ z)))
% 3.96/1.20 | ~ (E @ 0 @ (f @ (suc @ (suc @ z))))
% 3.96/1.20 | ~ (E @ (f @ z) @ (f @ (suc @ z)))
% 3.96/1.20 | ~ (E @ 0 @ (f @ (suc @ z)))
% 3.96/1.20 | ~ (E @ 0 @ (f @ z))
% 3.96/1.20 | ~ (E @ 0 @ (f @ (suc @ (suc @ z))))
% 3.96/1.20 | ~ (E @ (f @ z) @ (f @ (suc @ z)))
% 3.96/1.20 | (E @ (f @ z) @ (f @ (suc @ (suc @ z))))
% 3.96/1.20 | (E @ (f @ z) @ (f @ (suc @ (suc @ z)))))),
% 3.96/1.20 inference('s_sup-', [status(thm)], [zip_derived_cl118, zip_derived_cl238])).
% 3.96/1.20 thf(zip_derived_cl91, plain, ( (E @ 0 @ (f @ z))),
% 3.96/1.20 inference('s_sup-', [status(thm)], [zip_derived_cl90, zip_derived_cl20])).
% 3.96/1.20 thf(zip_derived_cl93, plain, ( (E @ 0 @ (f @ (suc @ z)))),
% 3.96/1.20 inference('s_sup-', [status(thm)], [zip_derived_cl92, zip_derived_cl20])).
% 3.96/1.20 thf(zip_derived_cl107, plain, ( (E @ 0 @ (f @ (suc @ (suc @ z))))),
% 3.96/1.20 inference('s_sup-', [status(thm)], [zip_derived_cl106, zip_derived_cl20])).
% 3.96/1.20 thf(zip_derived_cl118, plain, ( (iLEQ @ (suc @ z) @ (suc @ z))),
% 3.96/1.20 inference('demod', [status(thm)],
% 3.96/1.20 [zip_derived_cl117, zip_derived_cl93, zip_derived_cl107,
% 3.96/1.20 zip_derived_cl91])).
% 3.96/1.20 thf(clause_102, axiom,
% 3.96/1.20 (( ~( E @ 0 @ ( f @ ( suc @ B_11 ) ) ) ) |
% 3.96/1.20 ( ~( iLEQ @ ( suc @ B_12 ) @ ( suc @ B_13 ) ) ) |
% 3.96/1.20 ( ~( E @ 0 @ ( f @ ( suc @ A_1 ) ) ) ) | ( ~( E @ 0 @ ( f @ B_11 ) ) ) |
% 3.96/1.20 ( ~( E @ 0 @ ( f @ A_1 ) ) ) | ( ~( E @ 0 @ ( f @ B_13 ) ) ) |
% 3.96/1.20 ( ~( E @ 0 @ ( f @ ( suc @ B_12 ) ) ) ) |
% 3.96/1.20 ( ~( iLEQ @ ( suc @ A_1 ) @ ( suc @ B_11 ) ) ) |
% 3.96/1.20 ( ~( E @ 0 @ ( f @ ( suc @ B_13 ) ) ) ) | ( ~( E @ 0 @ ( f @ B_12 ) ) ) |
% 3.96/1.20 ( ~( iLEQ @ ( suc @ B_11 ) @ ( suc @ B_12 ) ) ) |
% 3.96/1.20 ( E @ ( f @ A_1 ) @ ( f @ ( suc @ A_1 ) ) ) |
% 3.96/1.20 ( E @ ( f @ B_11 ) @ ( f @ ( suc @ B_11 ) ) ) |
% 3.96/1.20 ( E @ ( f @ B_12 ) @ ( f @ ( suc @ B_12 ) ) ) |
% 3.96/1.20 ( E @ ( f @ B_13 ) @ ( f @ ( suc @ B_13 ) ) ))).
% 3.96/1.20 thf(zip_derived_cl7, plain,
% 3.96/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 3.96/1.20 (~ (E @ 0 @ (f @ (suc @ X0)))
% 3.96/1.20 | ~ (iLEQ @ (suc @ X1) @ (suc @ X2))
% 3.96/1.20 | ~ (E @ 0 @ (f @ (suc @ X3)))
% 3.96/1.20 | ~ (E @ 0 @ (f @ X0))
% 3.96/1.20 | ~ (E @ 0 @ (f @ X3))
% 3.96/1.20 | ~ (E @ 0 @ (f @ X2))
% 3.96/1.20 | ~ (E @ 0 @ (f @ (suc @ X1)))
% 3.96/1.20 | ~ (iLEQ @ (suc @ X3) @ (suc @ X0))
% 3.96/1.20 | ~ (E @ 0 @ (f @ (suc @ X2)))
% 3.96/1.20 | ~ (E @ 0 @ (f @ X1))
% 3.96/1.20 | ~ (iLEQ @ (suc @ X0) @ (suc @ X1))
% 3.96/1.20 | (E @ (f @ X3) @ (f @ (suc @ X3)))
% 3.96/1.20 | (E @ (f @ X0) @ (f @ (suc @ X0)))
% 3.96/1.20 | (E @ (f @ X1) @ (f @ (suc @ X1)))
% 3.96/1.20 | (E @ (f @ X2) @ (f @ (suc @ X2))))),
% 3.96/1.20 inference('cnf', [status(esa)], [clause_102])).
% 3.96/1.20 thf(zip_derived_cl142, plain,
% 3.96/1.20 (![X0 : $i, X1 : $i]:
% 3.96/1.20 ( (E @ (f @ X0) @ (f @ (suc @ X0)))
% 3.96/1.20 | (E @ (f @ X1) @ (f @ (suc @ X1)))
% 3.96/1.20 | (E @ (f @ X0) @ (f @ (suc @ X0)))
% 3.96/1.20 | (E @ (f @ X1) @ (f @ (suc @ X1)))
% 3.96/1.20 | ~ (iLEQ @ (suc @ X0) @ (suc @ X1))
% 3.96/1.20 | ~ (E @ 0 @ (f @ X1))
% 3.96/1.20 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 3.96/1.20 | ~ (iLEQ @ (suc @ X1) @ (suc @ X0))
% 3.96/1.20 | ~ (E @ 0 @ (f @ (suc @ X1)))
% 3.96/1.20 | ~ (E @ 0 @ (f @ X0))
% 3.96/1.20 | ~ (E @ 0 @ (f @ X1))
% 3.96/1.20 | ~ (E @ 0 @ (f @ X0))
% 3.96/1.20 | ~ (E @ 0 @ (f @ (suc @ X1)))
% 3.96/1.20 | ~ (E @ 0 @ (f @ (suc @ X0))))),
% 3.96/1.20 inference('eq_fact', [status(thm)], [zip_derived_cl7])).
% 3.96/1.20 thf(zip_derived_cl143, plain,
% 3.96/1.20 (![X0 : $i, X1 : $i]:
% 3.96/1.20 (~ (E @ 0 @ (f @ X0))
% 3.96/1.20 | ~ (E @ 0 @ (f @ (suc @ X1)))
% 3.96/1.20 | ~ (iLEQ @ (suc @ X1) @ (suc @ X0))
% 3.96/1.20 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 3.96/1.20 | ~ (E @ 0 @ (f @ X1))
% 3.96/1.20 | ~ (iLEQ @ (suc @ X0) @ (suc @ X1))
% 3.96/1.20 | (E @ (f @ X1) @ (f @ (suc @ X1)))
% 3.96/1.20 | (E @ (f @ X0) @ (f @ (suc @ X0))))),
% 3.96/1.20 inference('simplify', [status(thm)], [zip_derived_cl142])).
% 3.96/1.20 thf(zip_derived_cl146, plain,
% 3.96/1.20 ((~ (E @ 0 @ (f @ z))
% 3.96/1.20 | ~ (E @ 0 @ (f @ (suc @ z)))
% 3.96/1.20 | ~ (E @ 0 @ (f @ (suc @ z)))
% 3.96/1.20 | ~ (E @ 0 @ (f @ z))
% 3.96/1.20 | (E @ (f @ z) @ (f @ (suc @ z)))
% 3.96/1.20 | (E @ (f @ z) @ (f @ (suc @ z))))),
% 3.96/1.20 inference('s_sup-', [status(thm)], [zip_derived_cl118, zip_derived_cl143])).
% 3.96/1.20 thf(zip_derived_cl91, plain, ( (E @ 0 @ (f @ z))),
% 3.96/1.20 inference('s_sup-', [status(thm)], [zip_derived_cl90, zip_derived_cl20])).
% 3.96/1.20 thf(zip_derived_cl93, plain, ( (E @ 0 @ (f @ (suc @ z)))),
% 3.96/1.20 inference('s_sup-', [status(thm)], [zip_derived_cl92, zip_derived_cl20])).
% 3.96/1.20 thf(zip_derived_cl93, plain, ( (E @ 0 @ (f @ (suc @ z)))),
% 3.96/1.20 inference('s_sup-', [status(thm)], [zip_derived_cl92, zip_derived_cl20])).
% 3.96/1.20 thf(zip_derived_cl91, plain, ( (E @ 0 @ (f @ z))),
% 3.96/1.20 inference('s_sup-', [status(thm)], [zip_derived_cl90, zip_derived_cl20])).
% 3.96/1.20 thf(zip_derived_cl147, plain,
% 3.96/1.20 (( (E @ (f @ z) @ (f @ (suc @ z))) | (E @ (f @ z) @ (f @ (suc @ z))))),
% 3.96/1.20 inference('demod', [status(thm)],
% 3.96/1.20 [zip_derived_cl146, zip_derived_cl91, zip_derived_cl93,
% 3.96/1.20 zip_derived_cl93, zip_derived_cl91])).
% 3.96/1.20 thf(zip_derived_cl148, plain, ( (E @ (f @ z) @ (f @ (suc @ z)))),
% 3.96/1.20 inference('simplify', [status(thm)], [zip_derived_cl147])).
% 3.96/1.20 thf(zip_derived_cl93, plain, ( (E @ 0 @ (f @ (suc @ z)))),
% 3.96/1.20 inference('s_sup-', [status(thm)], [zip_derived_cl92, zip_derived_cl20])).
% 3.96/1.20 thf(zip_derived_cl91, plain, ( (E @ 0 @ (f @ z))),
% 3.96/1.20 inference('s_sup-', [status(thm)], [zip_derived_cl90, zip_derived_cl20])).
% 3.96/1.20 thf(zip_derived_cl107, plain, ( (E @ 0 @ (f @ (suc @ (suc @ z))))),
% 3.96/1.20 inference('s_sup-', [status(thm)], [zip_derived_cl106, zip_derived_cl20])).
% 3.96/1.20 thf(zip_derived_cl148, plain, ( (E @ (f @ z) @ (f @ (suc @ z)))),
% 3.96/1.20 inference('simplify', [status(thm)], [zip_derived_cl147])).
% 3.96/1.20 thf(zip_derived_cl242, plain,
% 3.96/1.20 (( (E @ (f @ z) @ (f @ (suc @ (suc @ z))))
% 3.96/1.20 | (E @ (f @ z) @ (f @ (suc @ (suc @ z)))))),
% 3.96/1.20 inference('demod', [status(thm)],
% 3.96/1.20 [zip_derived_cl241, zip_derived_cl91, zip_derived_cl93,
% 3.96/1.20 zip_derived_cl107, zip_derived_cl148, zip_derived_cl93,
% 3.96/1.20 zip_derived_cl91, zip_derived_cl107, zip_derived_cl148])).
% 3.96/1.20 thf(zip_derived_cl243, plain, ( (E @ (f @ z) @ (f @ (suc @ (suc @ z))))),
% 3.96/1.20 inference('simplify', [status(thm)], [zip_derived_cl242])).
% 3.96/1.20 thf(clause_1836, axiom,
% 3.96/1.20 (( ~( E @ 0 @ ( f @ ( suc @ ( suc @ ( suc @ A_1 ) ) ) ) ) ) |
% 3.96/1.20 ( ~( E @ 0 @ ( f @ ( suc @ B_11 ) ) ) ) |
% 3.96/1.20 ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ ( suc @ B_11 ) ) ) ) ) ) |
% 3.96/1.20 ( ~( iLEQ @ ( suc @ B_12 ) @ ( suc @ B_13 ) ) ) |
% 3.96/1.20 ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ B_11 ) ) ) ) ) |
% 3.96/1.20 ( ~( E @ 0 @ ( f @ ( suc @ A_1 ) ) ) ) |
% 3.96/1.20 ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ A_1 ) ) ) ) ) |
% 3.96/1.21 ( ~( E @ 0 @ ( f @ B_11 ) ) ) | ( ~( E @ 0 @ ( f @ A_1 ) ) ) |
% 3.96/1.21 ( ~( E @ 0 @ ( f @ B_13 ) ) ) |
% 3.96/1.21 ( ~( E @ ( f @ B_11 ) @ ( f @ ( suc @ ( suc @ B_11 ) ) ) ) ) |
% 3.96/1.21 ( ~( E @ 0 @ ( f @ ( suc @ B_12 ) ) ) ) |
% 3.96/1.21 ( ~( E @ ( f @ B_13 ) @ ( f @ ( suc @ ( suc @ B_13 ) ) ) ) ) |
% 3.96/1.21 ( ~( E @ ( f @ B_12 ) @ ( f @ ( suc @ ( suc @ B_12 ) ) ) ) ) |
% 3.96/1.21 ( ~( E @ ( f @ A_1 ) @ ( f @ ( suc @ ( suc @ A_1 ) ) ) ) ) |
% 3.96/1.21 ( ~( E @ ( f @ B_12 ) @ ( f @ ( suc @ B_12 ) ) ) ) |
% 3.96/1.21 ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ B_12 ) ) ) ) ) |
% 3.96/1.21 ( ~( E @ ( f @ A_1 ) @ ( f @ ( suc @ A_1 ) ) ) ) |
% 3.96/1.21 ( ~( E @ ( f @ B_11 ) @ ( f @ ( suc @ B_11 ) ) ) ) |
% 3.96/1.21 ( ~( iLEQ @ ( suc @ A_1 ) @ ( suc @ B_11 ) ) ) |
% 3.96/1.21 ( ~( E @ 0 @ ( f @ ( suc @ B_13 ) ) ) ) | ( ~( E @ 0 @ ( f @ B_12 ) ) ) |
% 3.96/1.21 ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ ( suc @ B_13 ) ) ) ) ) ) |
% 3.96/1.21 ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ B_13 ) ) ) ) ) |
% 3.96/1.21 ( ~( E @ ( f @ B_13 ) @ ( f @ ( suc @ B_13 ) ) ) ) |
% 3.96/1.21 ( ~( E @ 0 @ ( f @ ( suc @ ( suc @ ( suc @ B_12 ) ) ) ) ) ) |
% 3.96/1.21 ( ~( iLEQ @ ( suc @ B_11 ) @ ( suc @ B_12 ) ) ))).
% 3.96/1.21 thf(zip_derived_cl55, plain,
% 3.96/1.21 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 3.96/1.21 (~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0)))))
% 3.96/1.21 | ~ (E @ 0 @ (f @ (suc @ X1)))
% 3.96/1.21 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X1)))))
% 3.96/1.21 | ~ (iLEQ @ (suc @ X2) @ (suc @ X3))
% 3.96/1.21 | ~ (E @ 0 @ (f @ (suc @ (suc @ X1))))
% 3.96/1.21 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 3.96/1.21 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 3.96/1.21 | ~ (E @ 0 @ (f @ X1))
% 3.96/1.21 | ~ (E @ 0 @ (f @ X0))
% 3.96/1.21 | ~ (E @ 0 @ (f @ X3))
% 3.96/1.21 | ~ (E @ (f @ X1) @ (f @ (suc @ (suc @ X1))))
% 3.96/1.21 | ~ (E @ 0 @ (f @ (suc @ X2)))
% 3.96/1.21 | ~ (E @ (f @ X3) @ (f @ (suc @ (suc @ X3))))
% 3.96/1.21 | ~ (E @ (f @ X2) @ (f @ (suc @ (suc @ X2))))
% 3.96/1.21 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 3.96/1.21 | ~ (E @ (f @ X2) @ (f @ (suc @ X2)))
% 3.96/1.21 | ~ (E @ 0 @ (f @ (suc @ (suc @ X2))))
% 3.96/1.21 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 3.96/1.21 | ~ (E @ (f @ X1) @ (f @ (suc @ X1)))
% 3.96/1.21 | ~ (iLEQ @ (suc @ X0) @ (suc @ X1))
% 3.96/1.21 | ~ (E @ 0 @ (f @ (suc @ X3)))
% 3.96/1.21 | ~ (E @ 0 @ (f @ X2))
% 3.96/1.21 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X3)))))
% 3.96/1.21 | ~ (E @ 0 @ (f @ (suc @ (suc @ X3))))
% 3.96/1.21 | ~ (E @ (f @ X3) @ (f @ (suc @ X3)))
% 3.96/1.21 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X2)))))
% 3.96/1.21 | ~ (iLEQ @ (suc @ X1) @ (suc @ X2)))),
% 3.96/1.21 inference('cnf', [status(esa)], [clause_1836])).
% 3.96/1.21 thf(zip_derived_cl100, plain,
% 3.96/1.21 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.96/1.21 (~ (iLEQ @ (suc @ X0) @ (suc @ X1))
% 3.96/1.21 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X1)))))
% 3.96/1.21 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 3.96/1.21 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 3.96/1.21 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0)))))
% 3.96/1.21 | ~ (E @ 0 @ (f @ X1))
% 3.96/1.21 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 3.96/1.21 | ~ (iLEQ @ (suc @ X2) @ (suc @ X0))
% 3.96/1.21 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 3.96/1.21 | ~ (E @ (f @ X2) @ (f @ (suc @ X2)))
% 3.96/1.21 | ~ (E @ 0 @ (f @ (suc @ (suc @ X1))))
% 3.96/1.21 | ~ (E @ (f @ X1) @ (f @ (suc @ X1)))
% 3.96/1.21 | ~ (E @ (f @ X2) @ (f @ (suc @ (suc @ X2))))
% 3.96/1.21 | ~ (E @ (f @ X1) @ (f @ (suc @ (suc @ X1))))
% 3.96/1.21 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 3.96/1.21 | ~ (E @ 0 @ (f @ (suc @ X1)))
% 3.96/1.21 | ~ (E @ 0 @ (f @ X0))
% 3.96/1.21 | ~ (E @ 0 @ (f @ X2))
% 3.96/1.21 | ~ (E @ 0 @ (f @ X0))
% 3.96/1.21 | ~ (E @ 0 @ (f @ (suc @ (suc @ X2))))
% 3.96/1.21 | ~ (E @ 0 @ (f @ (suc @ X2)))
% 3.96/1.21 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 3.96/1.21 | ~ (iLEQ @ (suc @ X1) @ (suc @ X0))
% 3.96/1.21 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0)))))
% 3.96/1.21 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 3.96/1.21 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X2))))))),
% 3.96/1.21 inference('eq_fact', [status(thm)], [zip_derived_cl55])).
% 3.96/1.21 thf(zip_derived_cl103, plain,
% 3.96/1.21 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.96/1.21 (~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X2)))))
% 3.96/1.21 | ~ (iLEQ @ (suc @ X1) @ (suc @ X0))
% 3.96/1.21 | ~ (E @ 0 @ (f @ (suc @ X2)))
% 3.96/1.21 | ~ (E @ 0 @ (f @ (suc @ (suc @ X2))))
% 3.96/1.21 | ~ (E @ 0 @ (f @ X2))
% 3.96/1.21 | ~ (E @ 0 @ (f @ X0))
% 3.96/1.21 | ~ (E @ 0 @ (f @ (suc @ X1)))
% 3.96/1.21 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 3.96/1.21 | ~ (E @ (f @ X1) @ (f @ (suc @ (suc @ X1))))
% 3.96/1.21 | ~ (E @ (f @ X2) @ (f @ (suc @ (suc @ X2))))
% 3.96/1.21 | ~ (E @ (f @ X1) @ (f @ (suc @ X1)))
% 3.96/1.21 | ~ (E @ 0 @ (f @ (suc @ (suc @ X1))))
% 3.96/1.21 | ~ (E @ (f @ X2) @ (f @ (suc @ X2)))
% 3.96/1.21 | ~ (iLEQ @ (suc @ X2) @ (suc @ X0))
% 3.96/1.21 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 3.96/1.21 | ~ (E @ 0 @ (f @ X1))
% 3.96/1.21 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0)))))
% 3.96/1.21 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 3.96/1.21 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 3.96/1.21 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X1)))))
% 3.96/1.21 | ~ (iLEQ @ (suc @ X0) @ (suc @ X1)))),
% 3.96/1.21 inference('simplify', [status(thm)], [zip_derived_cl100])).
% 3.96/1.21 thf(zip_derived_cl125, plain,
% 3.96/1.21 (![X0 : $i, X1 : $i]:
% 3.96/1.21 (~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 3.96/1.21 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0)))))
% 3.96/1.21 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 3.96/1.21 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 3.96/1.21 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0)))))
% 3.96/1.21 | ~ (E @ 0 @ (f @ X0))
% 3.96/1.21 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 3.96/1.21 | ~ (iLEQ @ (suc @ X1) @ (suc @ X0))
% 3.96/1.21 | ~ (E @ (f @ X1) @ (f @ (suc @ X1)))
% 3.96/1.21 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 3.96/1.21 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 3.96/1.21 | ~ (E @ (f @ X1) @ (f @ (suc @ (suc @ X1))))
% 3.96/1.21 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 3.96/1.21 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 3.96/1.21 | ~ (E @ 0 @ (f @ X0))
% 3.96/1.21 | ~ (E @ 0 @ (f @ X1))
% 3.96/1.21 | ~ (E @ 0 @ (f @ (suc @ (suc @ X1))))
% 3.96/1.21 | ~ (E @ 0 @ (f @ (suc @ X1)))
% 3.96/1.21 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 3.96/1.21 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X1))))))),
% 3.96/1.21 inference('eq_fact', [status(thm)], [zip_derived_cl103])).
% 3.96/1.21 thf(zip_derived_cl127, plain,
% 3.96/1.21 (![X0 : $i, X1 : $i]:
% 3.96/1.21 (~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X1)))))
% 3.96/1.21 | ~ (E @ 0 @ (f @ (suc @ X1)))
% 3.96/1.21 | ~ (E @ 0 @ (f @ (suc @ (suc @ X1))))
% 3.96/1.21 | ~ (E @ 0 @ (f @ X1))
% 3.96/1.21 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 3.96/1.21 | ~ (E @ (f @ X1) @ (f @ (suc @ (suc @ X1))))
% 3.96/1.21 | ~ (E @ (f @ X1) @ (f @ (suc @ X1)))
% 3.96/1.21 | ~ (iLEQ @ (suc @ X1) @ (suc @ X0))
% 3.96/1.21 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 3.96/1.21 | ~ (E @ 0 @ (f @ X0))
% 3.96/1.21 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 3.96/1.21 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 3.96/1.21 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0)))))
% 3.96/1.21 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 3.96/1.21 inference('simplify', [status(thm)], [zip_derived_cl125])).
% 3.96/1.21 thf(zip_derived_cl131, plain,
% 3.96/1.21 (![X0 : $i]:
% 3.96/1.21 (~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 3.96/1.21 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0)))))
% 3.96/1.21 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 3.96/1.21 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 3.96/1.21 | ~ (E @ 0 @ (f @ X0))
% 3.96/1.21 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 3.96/1.21 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0))
% 3.96/1.21 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 3.96/1.21 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 3.96/1.21 | ~ (E @ 0 @ (f @ X0))
% 3.96/1.21 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 3.96/1.21 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 3.96/1.21 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0))))))),
% 3.96/1.21 inference('eq_fact', [status(thm)], [zip_derived_cl127])).
% 3.96/1.21 thf(zip_derived_cl132, plain,
% 3.96/1.21 (![X0 : $i]:
% 3.96/1.21 (~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0))))
% 3.96/1.21 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 3.96/1.21 | ~ (E @ 0 @ (f @ X0))
% 3.96/1.21 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 3.96/1.21 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 3.96/1.21 | ~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0)))))
% 3.96/1.21 | ~ (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 3.96/1.21 inference('simplify', [status(thm)], [zip_derived_cl131])).
% 3.96/1.21 thf(zip_derived_cl116, plain,
% 3.96/1.21 (![X0 : $i]:
% 3.96/1.21 (~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0)))))
% 3.96/1.21 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 3.96/1.21 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 3.96/1.21 | ~ (E @ 0 @ (f @ X0))
% 3.96/1.21 | (iLEQ @ (suc @ X0) @ (suc @ X0)))),
% 3.96/1.21 inference('clc', [status(thm)], [zip_derived_cl115, zip_derived_cl83])).
% 3.96/1.21 thf(zip_derived_cl134, plain,
% 3.96/1.21 (![X0 : $i]:
% 3.96/1.21 (~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ X0)))))
% 3.96/1.21 | ~ (E @ (f @ X0) @ (f @ (suc @ X0)))
% 3.96/1.21 | ~ (E @ 0 @ (f @ (suc @ (suc @ X0))))
% 3.96/1.21 | ~ (E @ 0 @ (f @ X0))
% 3.96/1.21 | ~ (E @ 0 @ (f @ (suc @ X0)))
% 3.96/1.21 | ~ (E @ (f @ X0) @ (f @ (suc @ (suc @ X0)))))),
% 3.96/1.21 inference('clc', [status(thm)], [zip_derived_cl132, zip_derived_cl116])).
% 3.96/1.21 thf(zip_derived_cl244, plain,
% 3.96/1.21 ((~ (E @ 0 @ (f @ (suc @ (suc @ (suc @ z)))))
% 3.96/1.21 | ~ (E @ (f @ z) @ (f @ (suc @ z)))
% 3.96/1.21 | ~ (E @ 0 @ (f @ (suc @ (suc @ z))))
% 3.96/1.21 | ~ (E @ 0 @ (f @ z))
% 3.96/1.21 | ~ (E @ 0 @ (f @ (suc @ z))))),
% 3.96/1.21 inference('s_sup-', [status(thm)], [zip_derived_cl243, zip_derived_cl134])).
% 3.96/1.21 thf(zip_derived_cl109, plain, ( (E @ 0 @ (f @ (suc @ (suc @ (suc @ z)))))),
% 3.96/1.21 inference('s_sup-', [status(thm)], [zip_derived_cl108, zip_derived_cl20])).
% 3.96/1.21 thf(zip_derived_cl148, plain, ( (E @ (f @ z) @ (f @ (suc @ z)))),
% 3.96/1.21 inference('simplify', [status(thm)], [zip_derived_cl147])).
% 3.96/1.21 thf(zip_derived_cl107, plain, ( (E @ 0 @ (f @ (suc @ (suc @ z))))),
% 3.96/1.21 inference('s_sup-', [status(thm)], [zip_derived_cl106, zip_derived_cl20])).
% 3.96/1.21 thf(zip_derived_cl91, plain, ( (E @ 0 @ (f @ z))),
% 3.96/1.21 inference('s_sup-', [status(thm)], [zip_derived_cl90, zip_derived_cl20])).
% 3.96/1.21 thf(zip_derived_cl93, plain, ( (E @ 0 @ (f @ (suc @ z)))),
% 3.96/1.21 inference('s_sup-', [status(thm)], [zip_derived_cl92, zip_derived_cl20])).
% 3.96/1.21 thf(zip_derived_cl245, plain, ($false),
% 3.96/1.21 inference('demod', [status(thm)],
% 3.96/1.21 [zip_derived_cl244, zip_derived_cl109, zip_derived_cl148,
% 3.96/1.21 zip_derived_cl107, zip_derived_cl91, zip_derived_cl93])).
% 3.96/1.21
% 3.96/1.21 % SZS output end Refutation
% 3.96/1.21
% 3.96/1.21
% 3.96/1.21 % Terminating...
% 4.52/1.29 % Runner terminated.
% 4.52/1.30 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------