TSTP Solution File: SYO630-1 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYO630-1 : TPTP v8.1.2. Released v7.1.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.c5Um4M1zIW 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 : Fri Sep 1 05:52:21 EDT 2023
% Result : Unsatisfiable 1.35s 0.86s
% Output : Refutation 1.35s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SYO630-1 : TPTP v8.1.2. Released v7.1.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.c5Um4M1zIW true
% 0.13/0.35 % Computer : n028.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sat Aug 26 03:51:06 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.36 % Number of cores: 8
% 0.13/0.36 % Python version: Python 3.6.8
% 0.13/0.36 % Running in FO mode
% 0.21/0.67 % Total configuration time : 435
% 0.21/0.67 % Estimated wc time : 1092
% 0.21/0.67 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.74 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.76 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.77 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.77 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.77 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.79 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.81 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.35/0.86 % Solved by fo/fo5.sh.
% 1.35/0.86 % done 72 iterations in 0.039s
% 1.35/0.86 % SZS status Unsatisfiable for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.35/0.86 % SZS output start Refutation
% 1.35/0.86 thf(f_type, type, f: $i > $i).
% 1.35/0.86 thf(0_type, type, 0: $i).
% 1.35/0.86 thf(s_type, type, s: $i > $i).
% 1.35/0.86 thf(iLEQ_type, type, iLEQ: $i > $i > $o).
% 1.35/0.86 thf(E_type, type, E: $i > $i > $o).
% 1.35/0.86 thf(g_type, type, g: $i > $i).
% 1.35/0.86 thf(LE_type, type, LE: $i > $i > $o).
% 1.35/0.86 thf(clause_13_02, axiom, (iLEQ @ A_2 @ ( g @ A_2 ))).
% 1.35/0.86 thf(zip_derived_cl1, plain, (![X0 : $i]: (iLEQ @ X0 @ (g @ X0))),
% 1.35/0.86 inference('cnf', [status(esa)], [clause_13_02])).
% 1.35/0.86 thf(clause_18_04, axiom, (iLEQ @ A_14 @ A_14)).
% 1.35/0.86 thf(zip_derived_cl3, plain, (![X0 : $i]: (iLEQ @ X0 @ X0)),
% 1.35/0.86 inference('cnf', [status(esa)], [clause_18_04])).
% 1.35/0.86 thf(zip_derived_cl1, plain, (![X0 : $i]: (iLEQ @ X0 @ (g @ X0))),
% 1.35/0.86 inference('cnf', [status(esa)], [clause_13_02])).
% 1.35/0.86 thf(zip_derived_cl3, plain, (![X0 : $i]: (iLEQ @ X0 @ X0)),
% 1.35/0.86 inference('cnf', [status(esa)], [clause_18_04])).
% 1.35/0.86 thf(zip_derived_cl1, plain, (![X0 : $i]: (iLEQ @ X0 @ (g @ X0))),
% 1.35/0.86 inference('cnf', [status(esa)], [clause_13_02])).
% 1.35/0.86 thf(zip_derived_cl3, plain, (![X0 : $i]: (iLEQ @ X0 @ X0)),
% 1.35/0.86 inference('cnf', [status(esa)], [clause_18_04])).
% 1.35/0.86 thf(zip_derived_cl1, plain, (![X0 : $i]: (iLEQ @ X0 @ (g @ X0))),
% 1.35/0.86 inference('cnf', [status(esa)], [clause_13_02])).
% 1.35/0.86 thf(zip_derived_cl3, plain, (![X0 : $i]: (iLEQ @ X0 @ X0)),
% 1.35/0.86 inference('cnf', [status(esa)], [clause_18_04])).
% 1.35/0.86 thf(zip_derived_cl1, plain, (![X0 : $i]: (iLEQ @ X0 @ (g @ X0))),
% 1.35/0.86 inference('cnf', [status(esa)], [clause_13_02])).
% 1.35/0.86 thf(zip_derived_cl3, plain, (![X0 : $i]: (iLEQ @ X0 @ X0)),
% 1.35/0.86 inference('cnf', [status(esa)], [clause_18_04])).
% 1.35/0.86 thf(clause_8_01, axiom,
% 1.35/0.86 (( E @ ( s @ ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) ) @ ( f @ A ) ) |
% 1.35/0.86 ( LE @ ( f @ A ) @ ( s @ ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) ) ))).
% 1.35/0.86 thf(zip_derived_cl0, plain,
% 1.35/0.86 (![X0 : $i]:
% 1.35/0.86 ( (E @ (s @ (s @ (s @ (s @ (s @ 0))))) @ (f @ X0))
% 1.35/0.86 | (LE @ (f @ X0) @ (s @ (s @ (s @ (s @ (s @ 0)))))))),
% 1.35/0.86 inference('cnf', [status(esa)], [clause_8_01])).
% 1.35/0.86 thf(zip_derived_cl0, plain,
% 1.35/0.86 (![X0 : $i]:
% 1.35/0.86 ( (E @ (s @ (s @ (s @ (s @ (s @ 0))))) @ (f @ X0))
% 1.35/0.86 | (LE @ (f @ X0) @ (s @ (s @ (s @ (s @ (s @ 0)))))))),
% 1.35/0.86 inference('cnf', [status(esa)], [clause_8_01])).
% 1.35/0.86 thf(clause_3_10, axiom,
% 1.35/0.86 (( ~( E @ ( s @ ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) ) @ ( f @ A_2 ) ) ) |
% 1.35/0.86 ( ~( E @ ( s @ ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) ) @ ( f @ ( g @ A_2 ) ) ) ) |
% 1.35/0.86 ( E @ ( f @ A_2 ) @ ( f @ ( g @ A_2 ) ) ))).
% 1.35/0.86 thf(zip_derived_cl9, plain,
% 1.35/0.86 (![X0 : $i]:
% 1.35/0.86 (~ (E @ (s @ (s @ (s @ (s @ (s @ 0))))) @ (f @ X0))
% 1.35/0.86 | ~ (E @ (s @ (s @ (s @ (s @ (s @ 0))))) @ (f @ (g @ X0)))
% 1.35/0.86 | (E @ (f @ X0) @ (f @ (g @ X0))))),
% 1.35/0.86 inference('cnf', [status(esa)], [clause_3_10])).
% 1.35/0.86 thf(clause_31_05, axiom, (~( E @ ( f @ A_8 ) @ ( f @ ( g @ A_8 ) ) ))).
% 1.35/0.86 thf(zip_derived_cl4, plain, (![X0 : $i]: ~ (E @ (f @ X0) @ (f @ (g @ X0)))),
% 1.35/0.86 inference('cnf', [status(esa)], [clause_31_05])).
% 1.35/0.86 thf(zip_derived_cl37, plain,
% 1.35/0.86 (![X0 : $i]:
% 1.35/0.86 (~ (E @ (s @ (s @ (s @ (s @ (s @ 0))))) @ (f @ (g @ X0)))
% 1.35/0.86 | ~ (E @ (s @ (s @ (s @ (s @ (s @ 0))))) @ (f @ X0)))),
% 1.35/0.86 inference('clc', [status(thm)], [zip_derived_cl9, zip_derived_cl4])).
% 1.35/0.86 thf(zip_derived_cl38, plain,
% 1.35/0.86 (![X0 : $i]:
% 1.35/0.86 ( (LE @ (f @ (g @ X0)) @ (s @ (s @ (s @ (s @ (s @ 0))))))
% 1.35/0.86 | ~ (E @ (s @ (s @ (s @ (s @ (s @ 0))))) @ (f @ X0)))),
% 1.35/0.86 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl37])).
% 1.35/0.86 thf(zip_derived_cl39, plain,
% 1.35/0.86 (![X0 : $i]:
% 1.35/0.86 ( (LE @ (f @ X0) @ (s @ (s @ (s @ (s @ (s @ 0))))))
% 1.35/0.86 | (LE @ (f @ (g @ X0)) @ (s @ (s @ (s @ (s @ (s @ 0)))))))),
% 1.35/0.86 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl38])).
% 1.35/0.86 thf(clause_7_16, axiom,
% 1.35/0.86 (( ~( LE @ ( f @ A_1 ) @ ( s @ ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) ) ) ) |
% 1.35/0.86 ( ~( iLEQ @ A_1 @ B_0 ) ) |
% 1.35/0.86 ( E @ ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) @ ( f @ B_0 ) ) |
% 1.35/0.86 ( LE @ ( f @ B_0 ) @ ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) ))).
% 1.35/0.86 thf(zip_derived_cl15, plain,
% 1.35/0.86 (![X0 : $i, X1 : $i]:
% 1.35/0.86 (~ (LE @ (f @ X0) @ (s @ (s @ (s @ (s @ (s @ 0))))))
% 1.35/0.86 | ~ (iLEQ @ X0 @ X1)
% 1.35/0.86 | (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ X1))
% 1.35/0.86 | (LE @ (f @ X1) @ (s @ (s @ (s @ (s @ 0))))))),
% 1.35/0.86 inference('cnf', [status(esa)], [clause_7_16])).
% 1.35/0.86 thf(zip_derived_cl41, plain,
% 1.35/0.86 (![X0 : $i, X1 : $i]:
% 1.35/0.86 ( (LE @ (f @ X0) @ (s @ (s @ (s @ (s @ (s @ 0))))))
% 1.35/0.86 | (LE @ (f @ X1) @ (s @ (s @ (s @ (s @ 0)))))
% 1.35/0.86 | (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ X1))
% 1.35/0.86 | ~ (iLEQ @ (g @ X0) @ X1))),
% 1.35/0.86 inference('sup-', [status(thm)], [zip_derived_cl39, zip_derived_cl15])).
% 1.35/0.86 thf(zip_derived_cl42, plain,
% 1.35/0.86 (![X0 : $i]:
% 1.35/0.86 ( (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ (g @ X0)))
% 1.35/0.86 | (LE @ (f @ (g @ X0)) @ (s @ (s @ (s @ (s @ 0)))))
% 1.35/0.86 | (LE @ (f @ X0) @ (s @ (s @ (s @ (s @ (s @ 0)))))))),
% 1.35/0.86 inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl41])).
% 1.35/0.86 thf(zip_derived_cl15, plain,
% 1.35/0.86 (![X0 : $i, X1 : $i]:
% 1.35/0.86 (~ (LE @ (f @ X0) @ (s @ (s @ (s @ (s @ (s @ 0))))))
% 1.35/0.86 | ~ (iLEQ @ X0 @ X1)
% 1.35/0.86 | (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ X1))
% 1.35/0.86 | (LE @ (f @ X1) @ (s @ (s @ (s @ (s @ 0))))))),
% 1.35/0.86 inference('cnf', [status(esa)], [clause_7_16])).
% 1.35/0.86 thf(zip_derived_cl44, plain,
% 1.35/0.86 (![X0 : $i, X1 : $i]:
% 1.35/0.86 ( (LE @ (f @ (g @ X0)) @ (s @ (s @ (s @ (s @ 0)))))
% 1.35/0.86 | (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ (g @ X0)))
% 1.35/0.86 | (LE @ (f @ X1) @ (s @ (s @ (s @ (s @ 0)))))
% 1.35/0.86 | (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ X1))
% 1.35/0.86 | ~ (iLEQ @ X0 @ X1))),
% 1.35/0.86 inference('sup-', [status(thm)], [zip_derived_cl42, zip_derived_cl15])).
% 1.35/0.86 thf(zip_derived_cl48, plain,
% 1.35/0.86 (![X0 : $i]:
% 1.35/0.86 ( (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ (g @ X0)))
% 1.35/0.86 | (LE @ (f @ (g @ X0)) @ (s @ (s @ (s @ (s @ 0)))))
% 1.35/0.86 | (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ (g @ X0)))
% 1.35/0.86 | (LE @ (f @ (g @ X0)) @ (s @ (s @ (s @ (s @ 0))))))),
% 1.35/0.86 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl44])).
% 1.35/0.86 thf(zip_derived_cl49, plain,
% 1.35/0.86 (![X0 : $i]:
% 1.35/0.86 ( (LE @ (f @ (g @ X0)) @ (s @ (s @ (s @ (s @ 0)))))
% 1.35/0.86 | (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ (g @ X0))))),
% 1.35/0.86 inference('simplify', [status(thm)], [zip_derived_cl48])).
% 1.35/0.86 thf(zip_derived_cl49, plain,
% 1.35/0.86 (![X0 : $i]:
% 1.35/0.86 ( (LE @ (f @ (g @ X0)) @ (s @ (s @ (s @ (s @ 0)))))
% 1.35/0.86 | (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ (g @ X0))))),
% 1.35/0.86 inference('simplify', [status(thm)], [zip_derived_cl48])).
% 1.35/0.86 thf(clause_12_30, axiom,
% 1.35/0.86 (( ~( E @ ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) @ ( f @ A_5 ) ) ) |
% 1.35/0.86 ( ~( E @ ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) @ ( f @ ( g @ A_5 ) ) ) ) |
% 1.35/0.86 ( E @ ( f @ A_5 ) @ ( f @ ( g @ A_5 ) ) ))).
% 1.35/0.86 thf(zip_derived_cl29, plain,
% 1.35/0.86 (![X0 : $i]:
% 1.35/0.86 (~ (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ X0))
% 1.35/0.86 | ~ (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ (g @ X0)))
% 1.35/0.86 | (E @ (f @ X0) @ (f @ (g @ X0))))),
% 1.35/0.86 inference('cnf', [status(esa)], [clause_12_30])).
% 1.35/0.86 thf(zip_derived_cl4, plain, (![X0 : $i]: ~ (E @ (f @ X0) @ (f @ (g @ X0)))),
% 1.35/0.86 inference('cnf', [status(esa)], [clause_31_05])).
% 1.35/0.86 thf(zip_derived_cl40, plain,
% 1.35/0.86 (![X0 : $i]:
% 1.35/0.86 (~ (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ (g @ X0)))
% 1.35/0.86 | ~ (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ X0)))),
% 1.35/0.86 inference('clc', [status(thm)], [zip_derived_cl29, zip_derived_cl4])).
% 1.35/0.86 thf(zip_derived_cl50, plain,
% 1.35/0.86 (![X0 : $i]:
% 1.35/0.86 ( (LE @ (f @ (g @ X0)) @ (s @ (s @ (s @ (s @ 0)))))
% 1.35/0.86 | ~ (E @ (s @ (s @ (s @ (s @ 0)))) @ (f @ X0)))),
% 1.35/0.86 inference('sup-', [status(thm)], [zip_derived_cl49, zip_derived_cl40])).
% 1.35/0.86 thf(zip_derived_cl52, plain,
% 1.35/0.86 (![X0 : $i]:
% 1.35/0.86 ( (LE @ (f @ (g @ X0)) @ (s @ (s @ (s @ (s @ 0)))))
% 1.35/0.86 | (LE @ (f @ (g @ (g @ X0))) @ (s @ (s @ (s @ (s @ 0))))))),
% 1.35/0.86 inference('sup-', [status(thm)], [zip_derived_cl49, zip_derived_cl50])).
% 1.35/0.86 thf(clause_26_17, axiom,
% 1.35/0.86 (( ~( LE @ ( f @ A_4 ) @ ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) ) ) |
% 1.35/0.86 ( ~( iLEQ @ A_4 @ B_2 ) ) |
% 1.35/0.86 ( E @ ( s @ ( s @ ( s @ 0 ) ) ) @ ( f @ B_2 ) ) |
% 1.35/0.86 ( LE @ ( f @ B_2 ) @ ( s @ ( s @ ( s @ 0 ) ) ) ))).
% 1.35/0.86 thf(zip_derived_cl16, plain,
% 1.35/0.86 (![X0 : $i, X1 : $i]:
% 1.35/0.86 (~ (LE @ (f @ X0) @ (s @ (s @ (s @ (s @ 0)))))
% 1.35/0.86 | ~ (iLEQ @ X0 @ X1)
% 1.35/0.86 | (E @ (s @ (s @ (s @ 0))) @ (f @ X1))
% 1.35/0.86 | (LE @ (f @ X1) @ (s @ (s @ (s @ 0)))))),
% 1.35/0.86 inference('cnf', [status(esa)], [clause_26_17])).
% 1.35/0.86 thf(zip_derived_cl53, plain,
% 1.35/0.86 (![X0 : $i, X1 : $i]:
% 1.35/0.86 ( (LE @ (f @ (g @ X0)) @ (s @ (s @ (s @ (s @ 0)))))
% 1.35/0.86 | (LE @ (f @ X1) @ (s @ (s @ (s @ 0))))
% 1.35/0.86 | (E @ (s @ (s @ (s @ 0))) @ (f @ X1))
% 1.35/0.86 | ~ (iLEQ @ (g @ (g @ X0)) @ X1))),
% 1.35/0.86 inference('sup-', [status(thm)], [zip_derived_cl52, zip_derived_cl16])).
% 1.35/0.86 thf(zip_derived_cl54, plain,
% 1.35/0.86 (![X0 : $i]:
% 1.35/0.86 ( (E @ (s @ (s @ (s @ 0))) @ (f @ (g @ (g @ X0))))
% 1.35/0.86 | (LE @ (f @ (g @ (g @ X0))) @ (s @ (s @ (s @ 0))))
% 1.35/0.86 | (LE @ (f @ (g @ X0)) @ (s @ (s @ (s @ (s @ 0))))))),
% 1.35/0.86 inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl53])).
% 1.35/0.86 thf(zip_derived_cl16, plain,
% 1.35/0.86 (![X0 : $i, X1 : $i]:
% 1.35/0.86 (~ (LE @ (f @ X0) @ (s @ (s @ (s @ (s @ 0)))))
% 1.35/0.86 | ~ (iLEQ @ X0 @ X1)
% 1.35/0.86 | (E @ (s @ (s @ (s @ 0))) @ (f @ X1))
% 1.35/0.86 | (LE @ (f @ X1) @ (s @ (s @ (s @ 0)))))),
% 1.35/0.86 inference('cnf', [status(esa)], [clause_26_17])).
% 1.35/0.86 thf(zip_derived_cl56, plain,
% 1.35/0.86 (![X0 : $i, X1 : $i]:
% 1.35/0.86 ( (LE @ (f @ (g @ (g @ X0))) @ (s @ (s @ (s @ 0))))
% 1.35/0.86 | (E @ (s @ (s @ (s @ 0))) @ (f @ (g @ (g @ X0))))
% 1.35/0.86 | (LE @ (f @ X1) @ (s @ (s @ (s @ 0))))
% 1.35/0.86 | (E @ (s @ (s @ (s @ 0))) @ (f @ X1))
% 1.35/0.86 | ~ (iLEQ @ (g @ X0) @ X1))),
% 1.35/0.86 inference('sup-', [status(thm)], [zip_derived_cl54, zip_derived_cl16])).
% 1.35/0.86 thf(zip_derived_cl59, plain,
% 1.35/0.86 (![X0 : $i]:
% 1.35/0.86 ( (E @ (s @ (s @ (s @ 0))) @ (f @ (g @ (g @ X0))))
% 1.35/0.86 | (LE @ (f @ (g @ (g @ X0))) @ (s @ (s @ (s @ 0))))
% 1.35/0.86 | (E @ (s @ (s @ (s @ 0))) @ (f @ (g @ (g @ X0))))
% 1.35/0.86 | (LE @ (f @ (g @ (g @ X0))) @ (s @ (s @ (s @ 0)))))),
% 1.35/0.86 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl56])).
% 1.35/0.86 thf(zip_derived_cl60, plain,
% 1.35/0.86 (![X0 : $i]:
% 1.35/0.86 ( (LE @ (f @ (g @ (g @ X0))) @ (s @ (s @ (s @ 0))))
% 1.35/0.86 | (E @ (s @ (s @ (s @ 0))) @ (f @ (g @ (g @ X0)))))),
% 1.35/0.86 inference('simplify', [status(thm)], [zip_derived_cl59])).
% 1.35/0.86 thf(zip_derived_cl60, plain,
% 1.35/0.86 (![X0 : $i]:
% 1.35/0.86 ( (LE @ (f @ (g @ (g @ X0))) @ (s @ (s @ (s @ 0))))
% 1.35/0.86 | (E @ (s @ (s @ (s @ 0))) @ (f @ (g @ (g @ X0)))))),
% 1.35/0.86 inference('simplify', [status(thm)], [zip_derived_cl59])).
% 1.35/0.86 thf(clause_21_11, axiom,
% 1.35/0.86 (( ~( E @ ( s @ ( s @ ( s @ 0 ) ) ) @ ( f @ A_8 ) ) ) |
% 1.35/0.86 ( ~( E @ ( s @ ( s @ ( s @ 0 ) ) ) @ ( f @ ( g @ A_8 ) ) ) ) |
% 1.35/0.86 ( E @ ( f @ A_8 ) @ ( f @ ( g @ A_8 ) ) ))).
% 1.35/0.86 thf(zip_derived_cl10, plain,
% 1.35/0.86 (![X0 : $i]:
% 1.35/0.86 (~ (E @ (s @ (s @ (s @ 0))) @ (f @ X0))
% 1.35/0.86 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (g @ X0)))
% 1.35/0.86 | (E @ (f @ X0) @ (f @ (g @ X0))))),
% 1.35/0.86 inference('cnf', [status(esa)], [clause_21_11])).
% 1.35/0.86 thf(zip_derived_cl4, plain, (![X0 : $i]: ~ (E @ (f @ X0) @ (f @ (g @ X0)))),
% 1.35/0.86 inference('cnf', [status(esa)], [clause_31_05])).
% 1.35/0.86 thf(zip_derived_cl36, plain,
% 1.35/0.86 (![X0 : $i]:
% 1.35/0.86 (~ (E @ (s @ (s @ (s @ 0))) @ (f @ (g @ X0)))
% 1.35/0.86 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ X0)))),
% 1.35/0.86 inference('clc', [status(thm)], [zip_derived_cl10, zip_derived_cl4])).
% 1.35/0.86 thf(zip_derived_cl62, plain,
% 1.35/0.86 (![X0 : $i]:
% 1.35/0.86 ( (LE @ (f @ (g @ (g @ X0))) @ (s @ (s @ (s @ 0))))
% 1.35/0.86 | ~ (E @ (s @ (s @ (s @ 0))) @ (f @ (g @ X0))))),
% 1.35/0.86 inference('sup-', [status(thm)], [zip_derived_cl60, zip_derived_cl36])).
% 1.35/0.86 thf(zip_derived_cl64, plain,
% 1.35/0.86 (![X0 : $i]:
% 1.35/0.86 ( (LE @ (f @ (g @ (g @ X0))) @ (s @ (s @ (s @ 0))))
% 1.35/0.86 | (LE @ (f @ (g @ (g @ (g @ X0)))) @ (s @ (s @ (s @ 0)))))),
% 1.35/0.86 inference('sup-', [status(thm)], [zip_derived_cl60, zip_derived_cl62])).
% 1.35/0.86 thf(clause_16_15, axiom,
% 1.35/0.86 (( ~( LE @ ( f @ A_7 ) @ ( s @ ( s @ ( s @ 0 ) ) ) ) ) |
% 1.35/0.86 ( ~( iLEQ @ A_7 @ B_4 ) ) | ( E @ ( s @ ( s @ 0 ) ) @ ( f @ B_4 ) ) |
% 1.35/0.86 ( LE @ ( f @ B_4 ) @ ( s @ ( s @ 0 ) ) ))).
% 1.35/0.86 thf(zip_derived_cl14, plain,
% 1.35/0.86 (![X0 : $i, X1 : $i]:
% 1.35/0.86 (~ (LE @ (f @ X0) @ (s @ (s @ (s @ 0))))
% 1.35/0.86 | ~ (iLEQ @ X0 @ X1)
% 1.35/0.86 | (E @ (s @ (s @ 0)) @ (f @ X1))
% 1.35/0.86 | (LE @ (f @ X1) @ (s @ (s @ 0))))),
% 1.35/0.86 inference('cnf', [status(esa)], [clause_16_15])).
% 1.35/0.86 thf(zip_derived_cl65, plain,
% 1.35/0.86 (![X0 : $i, X1 : $i]:
% 1.35/0.86 ( (LE @ (f @ (g @ (g @ X0))) @ (s @ (s @ (s @ 0))))
% 1.35/0.86 | (LE @ (f @ X1) @ (s @ (s @ 0)))
% 1.35/0.86 | (E @ (s @ (s @ 0)) @ (f @ X1))
% 1.35/0.86 | ~ (iLEQ @ (g @ (g @ (g @ X0))) @ X1))),
% 1.35/0.86 inference('sup-', [status(thm)], [zip_derived_cl64, zip_derived_cl14])).
% 1.35/0.86 thf(zip_derived_cl66, plain,
% 1.35/0.86 (![X0 : $i]:
% 1.35/0.86 ( (E @ (s @ (s @ 0)) @ (f @ (g @ (g @ (g @ X0)))))
% 1.35/0.86 | (LE @ (f @ (g @ (g @ (g @ X0)))) @ (s @ (s @ 0)))
% 1.35/0.86 | (LE @ (f @ (g @ (g @ X0))) @ (s @ (s @ (s @ 0)))))),
% 1.35/0.86 inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl65])).
% 1.35/0.86 thf(zip_derived_cl14, plain,
% 1.35/0.86 (![X0 : $i, X1 : $i]:
% 1.35/0.86 (~ (LE @ (f @ X0) @ (s @ (s @ (s @ 0))))
% 1.35/0.86 | ~ (iLEQ @ X0 @ X1)
% 1.35/0.86 | (E @ (s @ (s @ 0)) @ (f @ X1))
% 1.35/0.86 | (LE @ (f @ X1) @ (s @ (s @ 0))))),
% 1.35/0.86 inference('cnf', [status(esa)], [clause_16_15])).
% 1.35/0.86 thf(zip_derived_cl68, plain,
% 1.35/0.86 (![X0 : $i, X1 : $i]:
% 1.35/0.86 ( (LE @ (f @ (g @ (g @ (g @ X0)))) @ (s @ (s @ 0)))
% 1.35/0.86 | (E @ (s @ (s @ 0)) @ (f @ (g @ (g @ (g @ X0)))))
% 1.35/0.86 | (LE @ (f @ X1) @ (s @ (s @ 0)))
% 1.35/0.86 | (E @ (s @ (s @ 0)) @ (f @ X1))
% 1.35/0.86 | ~ (iLEQ @ (g @ (g @ X0)) @ X1))),
% 1.35/0.86 inference('sup-', [status(thm)], [zip_derived_cl66, zip_derived_cl14])).
% 1.35/0.86 thf(zip_derived_cl72, plain,
% 1.35/0.86 (![X0 : $i]:
% 1.35/0.86 ( (E @ (s @ (s @ 0)) @ (f @ (g @ (g @ (g @ X0)))))
% 1.35/0.86 | (LE @ (f @ (g @ (g @ (g @ X0)))) @ (s @ (s @ 0)))
% 1.35/0.86 | (E @ (s @ (s @ 0)) @ (f @ (g @ (g @ (g @ X0)))))
% 1.35/0.86 | (LE @ (f @ (g @ (g @ (g @ X0)))) @ (s @ (s @ 0))))),
% 1.35/0.86 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl68])).
% 1.35/0.86 thf(zip_derived_cl73, plain,
% 1.35/0.86 (![X0 : $i]:
% 1.35/0.86 ( (LE @ (f @ (g @ (g @ (g @ X0)))) @ (s @ (s @ 0)))
% 1.35/0.86 | (E @ (s @ (s @ 0)) @ (f @ (g @ (g @ (g @ X0))))))),
% 1.35/0.86 inference('simplify', [status(thm)], [zip_derived_cl72])).
% 1.35/0.86 thf(zip_derived_cl73, plain,
% 1.35/0.86 (![X0 : $i]:
% 1.35/0.86 ( (LE @ (f @ (g @ (g @ (g @ X0)))) @ (s @ (s @ 0)))
% 1.35/0.86 | (E @ (s @ (s @ 0)) @ (f @ (g @ (g @ (g @ X0))))))),
% 1.35/0.86 inference('simplify', [status(thm)], [zip_derived_cl72])).
% 1.35/0.86 thf(clause_27_12, axiom,
% 1.35/0.86 (( ~( E @ ( s @ ( s @ 0 ) ) @ ( f @ A_11 ) ) ) |
% 1.35/0.86 ( ~( E @ ( s @ ( s @ 0 ) ) @ ( f @ ( g @ A_11 ) ) ) ) |
% 1.35/0.86 ( E @ ( f @ A_11 ) @ ( f @ ( g @ A_11 ) ) ))).
% 1.35/0.86 thf(zip_derived_cl11, plain,
% 1.35/0.86 (![X0 : $i]:
% 1.35/0.86 (~ (E @ (s @ (s @ 0)) @ (f @ X0))
% 1.35/0.86 | ~ (E @ (s @ (s @ 0)) @ (f @ (g @ X0)))
% 1.35/0.86 | (E @ (f @ X0) @ (f @ (g @ X0))))),
% 1.35/0.86 inference('cnf', [status(esa)], [clause_27_12])).
% 1.35/0.86 thf(zip_derived_cl4, plain, (![X0 : $i]: ~ (E @ (f @ X0) @ (f @ (g @ X0)))),
% 1.35/0.86 inference('cnf', [status(esa)], [clause_31_05])).
% 1.35/0.86 thf(zip_derived_cl35, plain,
% 1.35/0.86 (![X0 : $i]:
% 1.35/0.86 (~ (E @ (s @ (s @ 0)) @ (f @ (g @ X0)))
% 1.35/0.86 | ~ (E @ (s @ (s @ 0)) @ (f @ X0)))),
% 1.35/0.86 inference('clc', [status(thm)], [zip_derived_cl11, zip_derived_cl4])).
% 1.35/0.86 thf(zip_derived_cl74, plain,
% 1.35/0.86 (![X0 : $i]:
% 1.35/0.86 ( (LE @ (f @ (g @ (g @ (g @ X0)))) @ (s @ (s @ 0)))
% 1.35/0.86 | ~ (E @ (s @ (s @ 0)) @ (f @ (g @ (g @ X0)))))),
% 1.35/0.86 inference('sup-', [status(thm)], [zip_derived_cl73, zip_derived_cl35])).
% 1.35/0.86 thf(zip_derived_cl76, plain,
% 1.35/0.86 (![X0 : $i]:
% 1.35/0.86 ( (LE @ (f @ (g @ (g @ (g @ X0)))) @ (s @ (s @ 0)))
% 1.35/0.86 | (LE @ (f @ (g @ (g @ (g @ (g @ X0))))) @ (s @ (s @ 0))))),
% 1.35/0.86 inference('sup-', [status(thm)], [zip_derived_cl73, zip_derived_cl74])).
% 1.35/0.86 thf(clause_17_32, axiom,
% 1.35/0.86 (( ~( LE @ ( f @ A_10 ) @ ( s @ ( s @ 0 ) ) ) ) |
% 1.35/0.86 ( ~( iLEQ @ A_10 @ B_6 ) ) | ( E @ ( s @ 0 ) @ ( f @ B_6 ) ) |
% 1.35/0.86 ( LE @ ( f @ B_6 ) @ ( s @ 0 ) ))).
% 1.35/0.86 thf(zip_derived_cl31, plain,
% 1.35/0.86 (![X0 : $i, X1 : $i]:
% 1.35/0.86 (~ (LE @ (f @ X0) @ (s @ (s @ 0)))
% 1.35/0.86 | ~ (iLEQ @ X0 @ X1)
% 1.35/0.86 | (E @ (s @ 0) @ (f @ X1))
% 1.35/0.86 | (LE @ (f @ X1) @ (s @ 0)))),
% 1.35/0.86 inference('cnf', [status(esa)], [clause_17_32])).
% 1.35/0.86 thf(zip_derived_cl77, plain,
% 1.35/0.86 (![X0 : $i, X1 : $i]:
% 1.35/0.86 ( (LE @ (f @ (g @ (g @ (g @ X0)))) @ (s @ (s @ 0)))
% 1.35/0.86 | (LE @ (f @ X1) @ (s @ 0))
% 1.35/0.86 | (E @ (s @ 0) @ (f @ X1))
% 1.35/0.86 | ~ (iLEQ @ (g @ (g @ (g @ (g @ X0)))) @ X1))),
% 1.35/0.86 inference('sup-', [status(thm)], [zip_derived_cl76, zip_derived_cl31])).
% 1.35/0.86 thf(zip_derived_cl78, plain,
% 1.35/0.86 (![X0 : $i]:
% 1.35/0.86 ( (E @ (s @ 0) @ (f @ (g @ (g @ (g @ (g @ X0))))))
% 1.35/0.86 | (LE @ (f @ (g @ (g @ (g @ (g @ X0))))) @ (s @ 0))
% 1.35/0.86 | (LE @ (f @ (g @ (g @ (g @ X0)))) @ (s @ (s @ 0))))),
% 1.35/0.86 inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl77])).
% 1.35/0.86 thf(zip_derived_cl31, plain,
% 1.35/0.86 (![X0 : $i, X1 : $i]:
% 1.35/0.86 (~ (LE @ (f @ X0) @ (s @ (s @ 0)))
% 1.35/0.86 | ~ (iLEQ @ X0 @ X1)
% 1.35/0.86 | (E @ (s @ 0) @ (f @ X1))
% 1.35/0.86 | (LE @ (f @ X1) @ (s @ 0)))),
% 1.35/0.86 inference('cnf', [status(esa)], [clause_17_32])).
% 1.35/0.86 thf(zip_derived_cl80, plain,
% 1.35/0.86 (![X0 : $i, X1 : $i]:
% 1.35/0.86 ( (LE @ (f @ (g @ (g @ (g @ (g @ X0))))) @ (s @ 0))
% 1.35/0.86 | (E @ (s @ 0) @ (f @ (g @ (g @ (g @ (g @ X0))))))
% 1.35/0.86 | (LE @ (f @ X1) @ (s @ 0))
% 1.35/0.86 | (E @ (s @ 0) @ (f @ X1))
% 1.35/0.86 | ~ (iLEQ @ (g @ (g @ (g @ X0))) @ X1))),
% 1.35/0.86 inference('sup-', [status(thm)], [zip_derived_cl78, zip_derived_cl31])).
% 1.35/0.86 thf(zip_derived_cl86, plain,
% 1.35/0.86 (![X0 : $i]:
% 1.35/0.86 ( (E @ (s @ 0) @ (f @ (g @ (g @ (g @ (g @ X0))))))
% 1.35/0.86 | (LE @ (f @ (g @ (g @ (g @ (g @ X0))))) @ (s @ 0))
% 1.35/0.86 | (E @ (s @ 0) @ (f @ (g @ (g @ (g @ (g @ X0))))))
% 1.35/0.86 | (LE @ (f @ (g @ (g @ (g @ (g @ X0))))) @ (s @ 0)))),
% 1.35/0.86 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl80])).
% 1.35/0.86 thf(zip_derived_cl87, plain,
% 1.35/0.86 (![X0 : $i]:
% 1.35/0.86 ( (LE @ (f @ (g @ (g @ (g @ (g @ X0))))) @ (s @ 0))
% 1.35/0.86 | (E @ (s @ 0) @ (f @ (g @ (g @ (g @ (g @ X0)))))))),
% 1.35/0.86 inference('simplify', [status(thm)], [zip_derived_cl86])).
% 1.35/0.86 thf(zip_derived_cl87, plain,
% 1.35/0.86 (![X0 : $i]:
% 1.35/0.86 ( (LE @ (f @ (g @ (g @ (g @ (g @ X0))))) @ (s @ 0))
% 1.35/0.86 | (E @ (s @ 0) @ (f @ (g @ (g @ (g @ (g @ X0)))))))),
% 1.35/0.86 inference('simplify', [status(thm)], [zip_derived_cl86])).
% 1.35/0.86 thf(clause_30_13, axiom,
% 1.35/0.86 (( ~( E @ ( s @ 0 ) @ ( f @ A_14 ) ) ) |
% 1.35/0.86 ( ~( E @ ( s @ 0 ) @ ( f @ ( g @ A_14 ) ) ) ) |
% 1.35/0.86 ( E @ ( f @ A_14 ) @ ( f @ ( g @ A_14 ) ) ))).
% 1.35/0.86 thf(zip_derived_cl12, plain,
% 1.35/0.86 (![X0 : $i]:
% 1.35/0.86 (~ (E @ (s @ 0) @ (f @ X0))
% 1.35/0.86 | ~ (E @ (s @ 0) @ (f @ (g @ X0)))
% 1.35/0.86 | (E @ (f @ X0) @ (f @ (g @ X0))))),
% 1.35/0.86 inference('cnf', [status(esa)], [clause_30_13])).
% 1.35/0.86 thf(zip_derived_cl4, plain, (![X0 : $i]: ~ (E @ (f @ X0) @ (f @ (g @ X0)))),
% 1.35/0.86 inference('cnf', [status(esa)], [clause_31_05])).
% 1.35/0.86 thf(zip_derived_cl34, plain,
% 1.35/0.86 (![X0 : $i]:
% 1.35/0.86 (~ (E @ (s @ 0) @ (f @ (g @ X0))) | ~ (E @ (s @ 0) @ (f @ X0)))),
% 1.35/0.86 inference('clc', [status(thm)], [zip_derived_cl12, zip_derived_cl4])).
% 1.35/0.86 thf(zip_derived_cl90, plain,
% 1.35/0.86 (![X0 : $i]:
% 1.35/0.86 ( (LE @ (f @ (g @ (g @ (g @ (g @ X0))))) @ (s @ 0))
% 1.35/0.86 | ~ (E @ (s @ 0) @ (f @ (g @ (g @ (g @ X0))))))),
% 1.35/0.86 inference('sup-', [status(thm)], [zip_derived_cl87, zip_derived_cl34])).
% 1.35/0.86 thf(zip_derived_cl92, plain,
% 1.35/0.86 (![X0 : $i]:
% 1.35/0.86 ( (LE @ (f @ (g @ (g @ (g @ (g @ X0))))) @ (s @ 0))
% 1.35/0.86 | (LE @ (f @ (g @ (g @ (g @ (g @ (g @ X0)))))) @ (s @ 0)))),
% 1.35/0.86 inference('sup-', [status(thm)], [zip_derived_cl87, zip_derived_cl90])).
% 1.35/0.86 thf(clause_1_06, axiom,
% 1.35/0.86 (( ~( LE @ ( f @ A_13 ) @ ( s @ 0 ) ) ) | ( ~( iLEQ @ A_13 @ B_8 ) ) |
% 1.35/0.86 ( E @ 0 @ ( f @ B_8 ) ) | ( LE @ ( f @ B_8 ) @ 0 ))).
% 1.35/0.86 thf(zip_derived_cl5, plain,
% 1.35/0.86 (![X0 : $i, X1 : $i]:
% 1.35/0.86 (~ (LE @ (f @ X0) @ (s @ 0))
% 1.35/0.86 | ~ (iLEQ @ X0 @ X1)
% 1.35/0.86 | (E @ 0 @ (f @ X1))
% 1.35/0.86 | (LE @ (f @ X1) @ 0))),
% 1.35/0.86 inference('cnf', [status(esa)], [clause_1_06])).
% 1.35/0.86 thf(clause_6_07, axiom, (~( LE @ ( f @ A_15 ) @ 0 ))).
% 1.35/0.86 thf(zip_derived_cl6, plain, (![X0 : $i]: ~ (LE @ (f @ X0) @ 0)),
% 1.35/0.86 inference('cnf', [status(esa)], [clause_6_07])).
% 1.35/0.86 thf(zip_derived_cl33, plain,
% 1.35/0.86 (![X0 : $i, X1 : $i]:
% 1.35/0.86 (~ (LE @ (f @ X0) @ (s @ 0))
% 1.35/0.86 | ~ (iLEQ @ X0 @ X1)
% 1.35/0.86 | (E @ 0 @ (f @ X1)))),
% 1.35/0.86 inference('demod', [status(thm)], [zip_derived_cl5, zip_derived_cl6])).
% 1.35/0.86 thf(zip_derived_cl93, plain,
% 1.35/0.86 (![X0 : $i, X1 : $i]:
% 1.35/0.86 ( (LE @ (f @ (g @ (g @ (g @ (g @ X0))))) @ (s @ 0))
% 1.35/0.86 | (E @ 0 @ (f @ X1))
% 1.35/0.86 | ~ (iLEQ @ (g @ (g @ (g @ (g @ (g @ X0))))) @ X1))),
% 1.35/0.86 inference('sup-', [status(thm)], [zip_derived_cl92, zip_derived_cl33])).
% 1.35/0.86 thf(zip_derived_cl94, plain,
% 1.35/0.86 (![X0 : $i]:
% 1.35/0.86 ( (E @ 0 @ (f @ (g @ (g @ (g @ (g @ (g @ X0)))))))
% 1.35/0.86 | (LE @ (f @ (g @ (g @ (g @ (g @ X0))))) @ (s @ 0)))),
% 1.35/0.86 inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl93])).
% 1.35/0.86 thf(zip_derived_cl33, plain,
% 1.35/0.86 (![X0 : $i, X1 : $i]:
% 1.35/0.86 (~ (LE @ (f @ X0) @ (s @ 0))
% 1.35/0.86 | ~ (iLEQ @ X0 @ X1)
% 1.35/0.86 | (E @ 0 @ (f @ X1)))),
% 1.35/0.86 inference('demod', [status(thm)], [zip_derived_cl5, zip_derived_cl6])).
% 1.35/0.86 thf(zip_derived_cl96, plain,
% 1.35/0.86 (![X0 : $i, X1 : $i]:
% 1.35/0.86 ( (E @ 0 @ (f @ (g @ (g @ (g @ (g @ (g @ X0)))))))
% 1.35/0.86 | (E @ 0 @ (f @ X1))
% 1.35/0.86 | ~ (iLEQ @ (g @ (g @ (g @ (g @ X0)))) @ X1))),
% 1.35/0.86 inference('sup-', [status(thm)], [zip_derived_cl94, zip_derived_cl33])).
% 1.35/0.86 thf(zip_derived_cl98, plain,
% 1.35/0.86 (![X0 : $i]:
% 1.35/0.86 ( (E @ 0 @ (f @ (g @ (g @ (g @ (g @ (g @ X0)))))))
% 1.35/0.86 | (E @ 0 @ (f @ (g @ (g @ (g @ (g @ (g @ X0))))))))),
% 1.35/0.86 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl96])).
% 1.35/0.86 thf(zip_derived_cl99, plain,
% 1.35/0.86 (![X0 : $i]: (E @ 0 @ (f @ (g @ (g @ (g @ (g @ (g @ X0)))))))),
% 1.35/0.86 inference('simplify', [status(thm)], [zip_derived_cl98])).
% 1.35/0.86 thf(zip_derived_cl99, plain,
% 1.35/0.86 (![X0 : $i]: (E @ 0 @ (f @ (g @ (g @ (g @ (g @ (g @ X0)))))))),
% 1.35/0.86 inference('simplify', [status(thm)], [zip_derived_cl98])).
% 1.35/0.86 thf(clause_29_24, axiom,
% 1.35/0.86 (( ~( E @ 0 @ ( f @ A_15 ) ) ) | ( ~( E @ 0 @ ( f @ ( g @ A_15 ) ) ) ) |
% 1.35/0.86 ( E @ ( f @ A_15 ) @ ( f @ ( g @ A_15 ) ) ))).
% 1.35/0.86 thf(zip_derived_cl23, plain,
% 1.35/0.86 (![X0 : $i]:
% 1.35/0.86 (~ (E @ 0 @ (f @ X0))
% 1.35/0.86 | ~ (E @ 0 @ (f @ (g @ X0)))
% 1.35/0.86 | (E @ (f @ X0) @ (f @ (g @ X0))))),
% 1.35/0.86 inference('cnf', [status(esa)], [clause_29_24])).
% 1.35/0.86 thf(zip_derived_cl4, plain, (![X0 : $i]: ~ (E @ (f @ X0) @ (f @ (g @ X0)))),
% 1.35/0.86 inference('cnf', [status(esa)], [clause_31_05])).
% 1.35/0.86 thf(zip_derived_cl32, plain,
% 1.35/0.86 (![X0 : $i]: (~ (E @ 0 @ (f @ (g @ X0))) | ~ (E @ 0 @ (f @ X0)))),
% 1.35/0.86 inference('clc', [status(thm)], [zip_derived_cl23, zip_derived_cl4])).
% 1.35/0.86 thf(zip_derived_cl100, plain,
% 1.35/0.86 (![X0 : $i]: ~ (E @ 0 @ (f @ (g @ (g @ (g @ (g @ X0))))))),
% 1.35/0.86 inference('sup-', [status(thm)], [zip_derived_cl99, zip_derived_cl32])).
% 1.35/0.86 thf(zip_derived_cl101, plain, ($false),
% 1.35/0.86 inference('sup-', [status(thm)], [zip_derived_cl99, zip_derived_cl100])).
% 1.35/0.86
% 1.35/0.86 % SZS output end Refutation
% 1.35/0.86
% 1.35/0.86
% 1.35/0.87 % Terminating...
% 1.65/0.97 % Runner terminated.
% 1.65/0.98 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------