%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET723+4 : TPTP v9.2.0. Bugfixed v2.2.1.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.dQaxvVSYrD true
% Computer : n017.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 04:52:44 PM UTC 2025
% Result : Theorem 169.54s 24.73s
% Output : Refutation 169.54s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.10 % Problem : SET723+4 : TPTP v9.2.0. Bugfixed v2.2.1.
% 0.06/0.11 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.dQaxvVSYrD true
% 0.10/0.30 % Computer : n017.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Wed Oct 1 12:56:53 EDT 2025
% 0.10/0.30 % CPUTime :
% 0.10/0.30 % Running portfolio for 300 s
% 0.10/0.30 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.30 % Number of cores: 8
% 0.10/0.31 % Python version: Python 3.6.8
% 0.10/0.31 % Running in FO mode
% 0.15/0.53 % Total configuration time : 435
% 0.15/0.53 % Estimated wc time : 1092
% 0.15/0.53 % Estimated cpu time (7 cpus) : 156.0
% 0.52/0.62 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.95/0.62 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.95/0.63 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.95/0.63 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.95/0.64 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.95/0.64 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.95/0.64 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 169.54/24.73 % Solved by fo/fo4.sh.
% 169.54/24.73 % done 2860 iterations in 24.067s
% 169.54/24.73 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 169.54/24.73 % SZS output start Refutation
% 169.54/24.73 thf(member_type, type, member: $i > $i > $o).
% 169.54/24.73 thf(sk__14_type, type, sk__14: $i).
% 169.54/24.73 thf(sk__13_type, type, sk__13: $i).
% 169.54/24.73 thf(zip_tseitin_2_type, type, zip_tseitin_2: $i > $i > $i > $i > $o).
% 169.54/24.73 thf(sk__6_type, type, sk__6: $i > $i > $i > $i > $i).
% 169.54/24.73 thf(sk__type, type, sk_: $i > $i > $i > $i).
% 169.54/24.73 thf(sk__7_type, type, sk__7: $i > $i > $i > $i > $i).
% 169.54/24.73 thf(compose_function_type, type, compose_function: $i > $i > $i > $i > $i > $i).
% 169.54/24.73 thf(sk__12_type, type, sk__12: $i).
% 169.54/24.73 thf(maps_type, type, maps: $i > $i > $i > $o).
% 169.54/24.73 thf(sk__17_type, type, sk__17: $i).
% 169.54/24.73 thf(zip_tseitin_1_type, type, zip_tseitin_1: $i > $i > $i > $i > $o).
% 169.54/24.73 thf(injective_type, type, injective: $i > $i > $i > $o).
% 169.54/24.73 thf(apply_type, type, apply: $i > $i > $i > $o).
% 169.54/24.73 thf(zip_tseitin_0_type, type, zip_tseitin_0: $i > $i > $i > $i > $i > $o).
% 169.54/24.73 thf(equal_maps_type, type, equal_maps: $i > $i > $i > $i > $o).
% 169.54/24.73 thf(sk__8_type, type, sk__8: $i > $i > $i > $i > $i).
% 169.54/24.73 thf(sk__16_type, type, sk__16: $i).
% 169.54/24.73 thf(sk__15_type, type, sk__15: $i).
% 169.54/24.73 thf(thII14, conjecture,
% 169.54/24.73 (![F:$i,G:$i,H:$i,A:$i,B:$i,C:$i]:
% 169.54/24.73 ( ( ( maps @ F @ B @ C ) & ( maps @ G @ A @ B ) & ( maps @ H @ A @ B ) &
% 169.54/24.73 ( injective @ F @ B @ C ) &
% 169.54/24.73 ( equal_maps @
% 169.54/24.73 ( compose_function @ F @ G @ A @ B @ C ) @
% 169.54/24.73 ( compose_function @ F @ H @ A @ B @ C ) @ A @ C ) ) =>
% 169.54/24.73 ( equal_maps @ G @ H @ A @ B ) ))).
% 169.54/24.73 thf(zf_stmt_0, negated_conjecture,
% 169.54/24.73 (~( ![F:$i,G:$i,H:$i,A:$i,B:$i,C:$i]:
% 169.54/24.73 ( ( ( maps @ F @ B @ C ) & ( maps @ G @ A @ B ) &
% 169.54/24.73 ( maps @ H @ A @ B ) & ( injective @ F @ B @ C ) &
% 169.54/24.73 ( equal_maps @
% 169.54/24.73 ( compose_function @ F @ G @ A @ B @ C ) @
% 169.54/24.73 ( compose_function @ F @ H @ A @ B @ C ) @ A @ C ) ) =>
% 169.54/24.73 ( equal_maps @ G @ H @ A @ B ) ) )),
% 169.54/24.73 inference('cnf.neg', [status(esa)], [thII14])).
% 169.54/24.73 thf(zip_derived_cl40, plain, ( (maps @ sk__13 @ sk__15 @ sk__16)),
% 169.54/24.73 inference('cnf', [status(esa)], [zf_stmt_0])).
% 169.54/24.73 thf(maps, axiom,
% 169.54/24.73 (![F:$i,A:$i,B:$i]:
% 169.54/24.73 ( ( maps @ F @ A @ B ) <=>
% 169.54/24.73 ( ( ![X:$i,Y1:$i,Y2:$i]:
% 169.54/24.73 ( ( ( member @ Y2 @ B ) & ( member @ Y1 @ B ) & ( member @ X @ A ) ) =>
% 169.54/24.73 ( ( ( apply @ F @ X @ Y2 ) & ( apply @ F @ X @ Y1 ) ) =>
% 169.54/24.73 ( ( Y1 ) = ( Y2 ) ) ) ) ) &
% 169.54/24.73 ( ![X:$i]:
% 169.54/24.73 ( ( member @ X @ A ) =>
% 169.54/24.73 ( ?[Y:$i]: ( ( member @ Y @ B ) & ( apply @ F @ X @ Y ) ) ) ) ) ) ))).
% 169.54/24.73 thf(zf_stmt_1, type, zip_tseitin_2 : $i > $i > $i > $i > $o).
% 169.54/24.73 thf(zf_stmt_2, axiom,
% 169.54/24.73 (![X:$i,B:$i,A:$i,F:$i]:
% 169.54/24.73 ( ( zip_tseitin_2 @ X @ B @ A @ F ) <=>
% 169.54/24.73 ( ( member @ X @ A ) =>
% 169.54/24.73 ( ?[Y:$i]: ( ( apply @ F @ X @ Y ) & ( member @ Y @ B ) ) ) ) ))).
% 169.54/24.73 thf(zf_stmt_3, type, zip_tseitin_1 : $i > $i > $i > $i > $o).
% 169.54/24.73 thf(zf_stmt_4, axiom,
% 169.54/24.73 (![Y2:$i,Y1:$i,X:$i,F:$i]:
% 169.54/24.73 ( ( zip_tseitin_1 @ Y2 @ Y1 @ X @ F ) <=>
% 169.54/24.73 ( ( ( apply @ F @ X @ Y1 ) & ( apply @ F @ X @ Y2 ) ) =>
% 169.54/24.73 ( ( Y1 ) = ( Y2 ) ) ) ))).
% 169.54/24.73 thf(zf_stmt_5, type, zip_tseitin_0 : $i > $i > $i > $i > $i > $o).
% 169.54/24.73 thf(zf_stmt_6, axiom,
% 169.54/24.73 (![Y2:$i,Y1:$i,X:$i,B:$i,A:$i]:
% 169.54/24.73 ( ( zip_tseitin_0 @ Y2 @ Y1 @ X @ B @ A ) <=>
% 169.54/24.73 ( ( member @ X @ A ) & ( member @ Y1 @ B ) & ( member @ Y2 @ B ) ) ))).
% 169.54/24.73 thf(zf_stmt_7, axiom,
% 169.54/24.73 (![F:$i,A:$i,B:$i]:
% 169.54/24.73 ( ( maps @ F @ A @ B ) <=>
% 169.54/24.73 ( ( ![X:$i]: ( zip_tseitin_2 @ X @ B @ A @ F ) ) &
% 169.54/24.73 ( ![X:$i,Y1:$i,Y2:$i]:
% 169.54/24.73 ( ( zip_tseitin_0 @ Y2 @ Y1 @ X @ B @ A ) =>
% 169.54/24.73 ( zip_tseitin_1 @ Y2 @ Y1 @ X @ F ) ) ) ) ))).
% 169.54/24.73 thf(zip_derived_cl12, plain,
% 169.54/24.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 169.54/24.73 ( (zip_tseitin_2 @ X0 @ X1 @ X2 @ X3) | ~ (maps @ X3 @ X2 @ X1))),
% 169.54/24.73 inference('cnf', [status(esa)], [zf_stmt_7])).
% 169.54/24.73 thf(zip_derived_cl9, plain,
% 169.54/24.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 169.54/24.73 (~ (member @ X0 @ X1)
% 169.54/24.73 | (apply @ X2 @ X0 @ (sk_ @ X2 @ X3 @ X0))
% 169.54/24.73 | ~ (zip_tseitin_2 @ X0 @ X3 @ X1 @ X2))),
% 169.54/24.73 inference('cnf', [status(esa)], [zf_stmt_2])).
% 169.54/24.73 thf(zip_derived_cl61, plain,
% 169.54/24.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 169.54/24.73 (~ (maps @ X0 @ X1 @ X2)
% 169.54/24.73 | (apply @ X0 @ X3 @ (sk_ @ X0 @ X2 @ X3))
% 169.54/24.73 | ~ (member @ X3 @ X1))),
% 169.54/24.73 inference('sup-', [status(thm)], [zip_derived_cl12, zip_derived_cl9])).
% 169.54/24.73 thf(zip_derived_cl73, plain,
% 169.54/24.73 (![X0 : $i]:
% 169.54/24.73 (~ (member @ X0 @ sk__15)
% 169.54/24.73 | (apply @ sk__13 @ X0 @ (sk_ @ sk__13 @ sk__16 @ X0)))),
% 169.54/24.73 inference('sup-', [status(thm)], [zip_derived_cl40, zip_derived_cl61])).
% 169.54/24.73 thf(zip_derived_cl39, plain, ( (maps @ sk__12 @ sk__16 @ sk__17)),
% 169.54/24.73 inference('cnf', [status(esa)], [zf_stmt_0])).
% 169.54/24.73 thf(zip_derived_cl61, plain,
% 169.54/24.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 169.54/24.73 (~ (maps @ X0 @ X1 @ X2)
% 169.54/24.73 | (apply @ X0 @ X3 @ (sk_ @ X0 @ X2 @ X3))
% 169.54/24.73 | ~ (member @ X3 @ X1))),
% 169.54/24.73 inference('sup-', [status(thm)], [zip_derived_cl12, zip_derived_cl9])).
% 169.54/24.73 thf(zip_derived_cl72, plain,
% 169.54/24.73 (![X0 : $i]:
% 169.54/24.73 (~ (member @ X0 @ sk__16)
% 169.54/24.73 | (apply @ sk__12 @ X0 @ (sk_ @ sk__12 @ sk__17 @ X0)))),
% 169.54/24.73 inference('sup-', [status(thm)], [zip_derived_cl39, zip_derived_cl61])).
% 169.54/24.73 thf(zip_derived_cl73, plain,
% 169.54/24.73 (![X0 : $i]:
% 169.54/24.73 (~ (member @ X0 @ sk__15)
% 169.54/24.73 | (apply @ sk__13 @ X0 @ (sk_ @ sk__13 @ sk__16 @ X0)))),
% 169.54/24.73 inference('sup-', [status(thm)], [zip_derived_cl40, zip_derived_cl61])).
% 169.54/24.73 thf(zip_derived_cl40, plain, ( (maps @ sk__13 @ sk__15 @ sk__16)),
% 169.54/24.73 inference('cnf', [status(esa)], [zf_stmt_0])).
% 169.54/24.73 thf(zip_derived_cl3, plain,
% 169.54/24.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 169.54/24.73 ( (zip_tseitin_0 @ X0 @ X1 @ X2 @ X3 @ X4)
% 169.54/24.73 | ~ (member @ X0 @ X3)
% 169.54/24.73 | ~ (member @ X1 @ X3)
% 169.54/24.73 | ~ (member @ X2 @ X4))),
% 169.54/24.73 inference('cnf', [status(esa)], [zf_stmt_6])).
% 169.54/24.73 thf(zip_derived_cl13, plain,
% 169.54/24.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 169.54/24.73 (~ (zip_tseitin_0 @ X0 @ X1 @ X2 @ X3 @ X4)
% 169.54/24.73 | (zip_tseitin_1 @ X0 @ X1 @ X2 @ X5)
% 169.54/24.73 | ~ (maps @ X5 @ X4 @ X3))),
% 169.54/24.73 inference('cnf', [status(esa)], [zf_stmt_7])).
% 169.54/24.73 thf(zip_derived_cl56, plain,
% 169.54/24.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 169.54/24.73 (~ (member @ X2 @ X0)
% 169.54/24.73 | ~ (member @ X3 @ X1)
% 169.54/24.73 | ~ (member @ X4 @ X1)
% 169.54/24.73 | ~ (maps @ X5 @ X0 @ X1)
% 169.54/24.73 | (zip_tseitin_1 @ X4 @ X3 @ X2 @ X5))),
% 169.54/24.73 inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl13])).
% 169.54/24.73 thf(zip_derived_cl58, plain,
% 169.54/24.73 (![X0 : $i, X1 : $i, X2 : $i]:
% 169.54/24.73 ( (zip_tseitin_1 @ X2 @ X1 @ X0 @ sk__13)
% 169.54/24.73 | ~ (member @ X2 @ sk__16)
% 169.54/24.73 | ~ (member @ X1 @ sk__16)
% 169.54/24.73 | ~ (member @ X0 @ sk__15))),
% 169.54/24.73 inference('sup-', [status(thm)], [zip_derived_cl40, zip_derived_cl56])).
% 169.54/24.73 thf(zip_derived_cl4, plain,
% 169.54/24.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 169.54/24.73 (~ (apply @ X0 @ X1 @ X2)
% 169.54/24.73 | ~ (apply @ X0 @ X1 @ X3)
% 169.54/24.73 | ((X2) = (X3))
% 169.54/24.73 | ~ (zip_tseitin_1 @ X3 @ X2 @ X1 @ X0))),
% 169.54/24.73 inference('cnf', [status(esa)], [zf_stmt_4])).
% 169.54/24.73 thf(zip_derived_cl68, plain,
% 169.54/24.73 (![X0 : $i, X1 : $i, X2 : $i]:
% 169.54/24.73 (~ (member @ X0 @ sk__15)
% 169.54/24.73 | ~ (member @ X1 @ sk__16)
% 169.54/24.73 | ~ (member @ X2 @ sk__16)
% 169.54/24.73 | ((X1) = (X2))
% 169.54/24.73 | ~ (apply @ sk__13 @ X0 @ X2)
% 169.54/24.73 | ~ (apply @ sk__13 @ X0 @ X1))),
% 169.54/24.73 inference('sup-', [status(thm)], [zip_derived_cl58, zip_derived_cl4])).
% 169.54/24.73 thf(zip_derived_cl90, plain,
% 169.54/24.73 (![X0 : $i, X1 : $i]:
% 169.54/24.73 (~ (member @ X0 @ sk__15)
% 169.54/24.73 | ~ (apply @ sk__13 @ X0 @ X1)
% 169.54/24.73 | ((X1) = (sk_ @ sk__13 @ sk__16 @ X0))
% 169.54/24.73 | ~ (member @ (sk_ @ sk__13 @ sk__16 @ X0) @ sk__16)
% 169.54/24.73 | ~ (member @ X1 @ sk__16)
% 169.54/24.73 | ~ (member @ X0 @ sk__15))),
% 169.54/24.73 inference('sup-', [status(thm)], [zip_derived_cl73, zip_derived_cl68])).
% 169.54/24.73 thf(zip_derived_cl93, plain,
% 169.54/24.73 (![X0 : $i, X1 : $i]:
% 169.54/24.73 (~ (member @ X1 @ sk__16)
% 169.54/24.73 | ~ (member @ (sk_ @ sk__13 @ sk__16 @ X0) @ sk__16)
% 169.54/24.73 | ((X1) = (sk_ @ sk__13 @ sk__16 @ X0))
% 169.54/24.73 | ~ (apply @ sk__13 @ X0 @ X1)
% 169.54/24.73 | ~ (member @ X0 @ sk__15))),
% 169.54/24.73 inference('simplify', [status(thm)], [zip_derived_cl90])).
% 169.54/24.73 thf(zip_derived_cl40, plain, ( (maps @ sk__13 @ sk__15 @ sk__16)),
% 169.54/24.73 inference('cnf', [status(esa)], [zf_stmt_0])).
% 169.54/24.73 thf(zip_derived_cl12, plain,
% 169.54/24.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 169.54/24.73 ( (zip_tseitin_2 @ X0 @ X1 @ X2 @ X3) | ~ (maps @ X3 @ X2 @ X1))),
% 169.54/24.73 inference('cnf', [status(esa)], [zf_stmt_7])).
% 169.54/24.73 thf(zip_derived_cl8, plain,
% 169.54/24.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 169.54/24.73 (~ (member @ X0 @ X1)
% 169.54/24.73 | (member @ (sk_ @ X2 @ X3 @ X0) @ X3)
% 169.54/24.73 | ~ (zip_tseitin_2 @ X0 @ X3 @ X1 @ X2))),
% 169.54/24.73 inference('cnf', [status(esa)], [zf_stmt_2])).
% 169.54/24.73 thf(zip_derived_cl52, plain,
% 169.54/24.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 169.54/24.73 (~ (maps @ X0 @ X1 @ X2)
% 169.54/24.73 | (member @ (sk_ @ X0 @ X2 @ X3) @ X2)
% 169.54/24.73 | ~ (member @ X3 @ X1))),
% 169.54/24.73 inference('sup-', [status(thm)], [zip_derived_cl12, zip_derived_cl8])).
% 169.54/24.73 thf(zip_derived_cl54, plain,
% 169.54/24.73 (![X0 : $i]:
% 169.54/24.73 (~ (member @ X0 @ sk__15)
% 169.54/24.73 | (member @ (sk_ @ sk__13 @ sk__16 @ X0) @ sk__16))),
% 169.54/24.73 inference('sup-', [status(thm)], [zip_derived_cl40, zip_derived_cl52])).
% 169.54/24.73 thf(zip_derived_cl409, plain,
% 169.54/24.73 (![X0 : $i, X1 : $i]:
% 169.54/24.73 (~ (member @ X0 @ sk__15)
% 169.54/24.73 | ~ (apply @ sk__13 @ X0 @ X1)
% 169.54/24.73 | ((X1) = (sk_ @ sk__13 @ sk__16 @ X0))
% 169.54/24.73 | ~ (member @ X1 @ sk__16))),
% 169.54/24.73 inference('clc', [status(thm)], [zip_derived_cl93, zip_derived_cl54])).
% 169.54/24.73 thf(zip_derived_cl72, plain,
% 169.54/24.73 (![X0 : $i]:
% 169.54/24.73 (~ (member @ X0 @ sk__16)
% 169.54/24.73 | (apply @ sk__12 @ X0 @ (sk_ @ sk__12 @ sk__17 @ X0)))),
% 169.54/24.73 inference('sup-', [status(thm)], [zip_derived_cl39, zip_derived_cl61])).
% 169.54/24.73 thf(zip_derived_cl41, plain, ( (maps @ sk__14 @ sk__15 @ sk__16)),
% 169.54/24.73 inference('cnf', [status(esa)], [zf_stmt_0])).
% 169.54/24.73 thf(zip_derived_cl61, plain,
% 169.54/24.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 169.54/24.73 (~ (maps @ X0 @ X1 @ X2)
% 169.54/24.73 | (apply @ X0 @ X3 @ (sk_ @ X0 @ X2 @ X3))
% 169.54/24.73 | ~ (member @ X3 @ X1))),
% 169.54/24.73 inference('sup-', [status(thm)], [zip_derived_cl12, zip_derived_cl9])).
% 169.54/24.73 thf(zip_derived_cl74, plain,
% 169.54/24.73 (![X0 : $i]:
% 169.54/24.73 (~ (member @ X0 @ sk__15)
% 169.54/24.73 | (apply @ sk__14 @ X0 @ (sk_ @ sk__14 @ sk__16 @ X0)))),
% 169.54/24.73 inference('sup-', [status(thm)], [zip_derived_cl41, zip_derived_cl61])).
% 169.54/24.73 thf(compose_function, axiom,
% 169.54/24.73 (![G:$i,F:$i,A:$i,B:$i,C:$i,X:$i,Z:$i]:
% 169.54/24.73 ( ( ( member @ X @ A ) & ( member @ Z @ C ) ) =>
% 169.54/24.73 ( ( apply @ ( compose_function @ G @ F @ A @ B @ C ) @ X @ Z ) <=>
% 169.54/24.73 ( ?[Y:$i]:
% 169.54/24.73 ( ( apply @ G @ Y @ Z ) & ( apply @ F @ X @ Y ) & ( member @ Y @ B ) ) ) ) ))).
% 169.54/24.73 thf(zip_derived_cl19, plain,
% 169.54/24.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 169.54/24.73 (~ (member @ X0 @ X1)
% 169.54/24.73 | ~ (member @ X2 @ X3)
% 169.54/24.73 | (apply @ (compose_function @ X4 @ X5 @ X1 @ X6 @ X3) @ X0 @ X2)
% 169.54/24.73 | ~ (member @ X7 @ X6)
% 169.54/24.73 | ~ (apply @ X5 @ X0 @ X7)
% 169.54/24.73 | ~ (apply @ X4 @ X7 @ X2))),
% 169.54/24.73 inference('cnf', [status(esa)], [compose_function])).
% 169.54/24.73 thf(zip_derived_cl497, plain,
% 169.54/24.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 169.54/24.73 (~ (member @ X0 @ sk__15)
% 169.54/24.73 | ~ (apply @ X2 @ (sk_ @ sk__14 @ sk__16 @ X0) @ X1)
% 169.54/24.73 | ~ (member @ (sk_ @ sk__14 @ sk__16 @ X0) @ X3)
% 169.54/24.73 | (apply @ (compose_function @ X2 @ sk__14 @ X5 @ X3 @ X4) @ X0 @ X1)
% 169.54/24.73 | ~ (member @ X1 @ X4)
% 169.54/24.73 | ~ (member @ X0 @ X5))),
% 169.54/24.73 inference('sup-', [status(thm)], [zip_derived_cl74, zip_derived_cl19])).
% 169.54/24.73 thf(zip_derived_cl73, plain,
% 169.54/24.73 (![X0 : $i]:
% 169.54/24.73 (~ (member @ X0 @ sk__15)
% 169.54/24.73 | (apply @ sk__13 @ X0 @ (sk_ @ sk__13 @ sk__16 @ X0)))),
% 169.54/24.73 inference('sup-', [status(thm)], [zip_derived_cl40, zip_derived_cl61])).
% 169.54/24.73 thf(zip_derived_cl19, plain,
% 169.54/24.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 169.54/24.73 (~ (member @ X0 @ X1)
% 169.54/24.73 | ~ (member @ X2 @ X3)
% 169.54/24.73 | (apply @ (compose_function @ X4 @ X5 @ X1 @ X6 @ X3) @ X0 @ X2)
% 169.54/24.73 | ~ (member @ X7 @ X6)
% 169.54/24.73 | ~ (apply @ X5 @ X0 @ X7)
% 169.54/24.73 | ~ (apply @ X4 @ X7 @ X2))),
% 169.54/24.73 inference('cnf', [status(esa)], [compose_function])).
% 169.54/24.73 thf(zip_derived_cl495, plain,
% 169.54/24.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 169.54/24.73 (~ (member @ X0 @ sk__15)
% 169.54/24.73 | ~ (apply @ X2 @ (sk_ @ sk__13 @ sk__16 @ X0) @ X1)
% 169.54/24.73 | ~ (member @ (sk_ @ sk__13 @ sk__16 @ X0) @ X3)
% 169.54/24.73 | (apply @ (compose_function @ X2 @ sk__13 @ X5 @ X3 @ X4) @ X0 @ X1)
% 169.54/24.73 | ~ (member @ X1 @ X4)
% 169.54/24.73 | ~ (member @ X0 @ X5))),
% 169.54/24.73 inference('sup-', [status(thm)], [zip_derived_cl73, zip_derived_cl19])).
% 169.54/24.73 thf(zip_derived_cl37, plain,
% 169.54/24.73 ( (equal_maps @
% 169.54/24.73 (compose_function @ sk__12 @ sk__13 @ sk__15 @ sk__16 @ sk__17) @
% 169.54/24.73 (compose_function @ sk__12 @ sk__14 @ sk__15 @ sk__16 @ sk__17) @
% 169.54/24.73 sk__15 @ sk__17)),
% 169.54/24.73 inference('cnf', [status(esa)], [zf_stmt_0])).
% 169.54/24.73 thf(equal_maps, axiom,
% 169.54/24.73 (![F:$i,G:$i,A:$i,B:$i]:
% 169.54/24.73 ( ( equal_maps @ F @ G @ A @ B ) <=>
% 169.54/24.73 ( ![X:$i,Y1:$i,Y2:$i]:
% 169.54/24.73 ( ( ( member @ X @ A ) & ( member @ Y1 @ B ) & ( member @ Y2 @ B ) ) =>
% 169.54/24.73 ( ( ( apply @ F @ X @ Y1 ) & ( apply @ G @ X @ Y2 ) ) =>
% 169.54/24.73 ( ( Y1 ) = ( Y2 ) ) ) ) ) ))).
% 169.54/24.73 thf(zip_derived_cl20, plain,
% 169.54/24.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 169.54/24.73 (~ (apply @ X0 @ X1 @ X2)
% 169.54/24.73 | ((X3) = (X2))
% 169.54/24.73 | ~ (member @ X2 @ X4)
% 169.54/24.73 | ~ (member @ X1 @ X5)
% 169.54/24.73 | ~ (member @ X3 @ X4)
% 169.54/24.73 | ~ (apply @ X6 @ X1 @ X3)
% 169.54/24.73 | ~ (equal_maps @ X6 @ X0 @ X5 @ X4))),
% 169.54/24.73 inference('cnf', [status(esa)], [equal_maps])).
% 169.54/24.73 thf(zip_derived_cl64, plain,
% 169.54/24.73 (![X0 : $i, X1 : $i, X2 : $i]:
% 169.54/24.73 (~ (apply @
% 169.54/24.73 (compose_function @ sk__12 @ sk__13 @ sk__15 @ sk__16 @ sk__17) @
% 169.54/24.73 X1 @ X0)
% 169.54/24.73 | ~ (member @ X0 @ sk__17)
% 169.54/24.73 | ~ (member @ X1 @ sk__15)
% 169.54/24.73 | ~ (member @ X2 @ sk__17)
% 169.54/24.73 | ((X0) = (X2))
% 169.54/24.73 | ~ (apply @
% 169.54/24.73 (compose_function @ sk__12 @ sk__14 @ sk__15 @ sk__16 @ sk__17) @
% 169.54/24.73 X1 @ X2))),
% 169.54/24.73 inference('sup-', [status(thm)], [zip_derived_cl37, zip_derived_cl20])).
% 169.54/24.73 thf(zip_derived_cl14324, plain,
% 169.54/24.73 (![X0 : $i, X1 : $i, X2 : $i]:
% 169.54/24.73 (~ (member @ X1 @ sk__15)
% 169.54/24.73 | ~ (member @ X0 @ sk__17)
% 169.54/24.73 | ~ (member @ (sk_ @ sk__13 @ sk__16 @ X1) @ sk__16)
% 169.54/24.73 | ~ (apply @ sk__12 @ (sk_ @ sk__13 @ sk__16 @ X1) @ X0)
% 169.54/24.73 | ~ (member @ X1 @ sk__15)
% 169.54/24.73 | ~ (apply @
% 169.54/24.73 (compose_function @ sk__12 @ sk__14 @ sk__15 @ sk__16 @ sk__17) @
% 169.54/24.73 X1 @ X2)
% 169.54/24.73 | ((X0) = (X2))
% 169.54/24.73 | ~ (member @ X2 @ sk__17)
% 169.54/24.73 | ~ (member @ X1 @ sk__15)
% 169.54/24.73 | ~ (member @ X0 @ sk__17))),
% 169.54/24.73 inference('sup-', [status(thm)], [zip_derived_cl495, zip_derived_cl64])).
% 169.54/24.73 thf(zip_derived_cl14386, plain,
% 169.54/24.73 (![X0 : $i, X1 : $i, X2 : $i]:
% 169.54/24.73 (~ (member @ X2 @ sk__17)
% 169.54/24.73 | ((X0) = (X2))
% 169.54/24.73 | ~ (apply @
% 169.54/24.73 (compose_function @ sk__12 @ sk__14 @ sk__15 @ sk__16 @ sk__17) @
% 169.54/24.73 X1 @ X2)
% 169.54/24.73 | ~ (apply @ sk__12 @ (sk_ @ sk__13 @ sk__16 @ X1) @ X0)
% 169.54/24.73 | ~ (member @ (sk_ @ sk__13 @ sk__16 @ X1) @ sk__16)
% 169.54/24.73 | ~ (member @ X0 @ sk__17)
% 169.54/24.73 | ~ (member @ X1 @ sk__15))),
% 169.54/24.73 inference('simplify', [status(thm)], [zip_derived_cl14324])).
% 169.54/24.73 thf(zip_derived_cl54, plain,
% 169.54/24.73 (![X0 : $i]:
% 169.54/24.73 (~ (member @ X0 @ sk__15)
% 169.54/24.73 | (member @ (sk_ @ sk__13 @ sk__16 @ X0) @ sk__16))),
% 169.54/24.73 inference('sup-', [status(thm)], [zip_derived_cl40, zip_derived_cl52])).
% 169.54/24.73 thf(zip_derived_cl14427, plain,
% 169.54/24.73 (![X0 : $i, X1 : $i, X2 : $i]:
% 169.54/24.73 (~ (member @ X1 @ sk__15)
% 169.54/24.73 | ~ (member @ X0 @ sk__17)
% 169.54/24.73 | ~ (apply @ sk__12 @ (sk_ @ sk__13 @ sk__16 @ X1) @ X0)
% 169.54/24.73 | ~ (apply @
% 169.54/24.73 (compose_function @ sk__12 @ sk__14 @ sk__15 @ sk__16 @ sk__17) @
% 169.54/24.73 X1 @ X2)
% 169.54/24.73 | ((X0) = (X2))
% 169.54/24.73 | ~ (member @ X2 @ sk__17))),
% 169.54/24.73 inference('clc', [status(thm)], [zip_derived_cl14386, zip_derived_cl54])).
% 169.54/24.73 thf(zip_derived_cl15012, plain,
% 169.54/24.73 (![X0 : $i, X1 : $i, X2 : $i]:
% 169.54/24.73 (~ (member @ X1 @ sk__15)
% 169.54/24.73 | ~ (member @ X0 @ sk__17)
% 169.54/24.73 | ~ (member @ (sk_ @ sk__14 @ sk__16 @ X1) @ sk__16)
% 169.54/24.73 | ~ (apply @ sk__12 @ (sk_ @ sk__14 @ sk__16 @ X1) @ X0)
% 169.54/24.73 | ~ (member @ X1 @ sk__15)
% 169.54/24.73 | ~ (member @ X0 @ sk__17)
% 169.54/24.73 | ((X2) = (X0))
% 169.54/24.73 | ~ (apply @ sk__12 @ (sk_ @ sk__13 @ sk__16 @ X1) @ X2)
% 169.54/24.73 | ~ (member @ X2 @ sk__17)
% 169.54/24.73 | ~ (member @ X1 @ sk__15))),
% 169.54/24.73 inference('sup-', [status(thm)], [zip_derived_cl497, zip_derived_cl14427])).
% 169.54/24.73 thf(zip_derived_cl15081, plain,
% 169.54/24.73 (![X0 : $i, X1 : $i, X2 : $i]:
% 169.54/24.73 (~ (member @ X2 @ sk__17)
% 169.54/24.73 | ~ (apply @ sk__12 @ (sk_ @ sk__13 @ sk__16 @ X1) @ X2)
% 169.54/24.73 | ((X2) = (X0))
% 169.54/24.73 | ~ (apply @ sk__12 @ (sk_ @ sk__14 @ sk__16 @ X1) @ X0)
% 169.54/24.73 | ~ (member @ (sk_ @ sk__14 @ sk__16 @ X1) @ sk__16)
% 169.54/24.73 | ~ (member @ X0 @ sk__17)
% 169.54/24.73 | ~ (member @ X1 @ sk__15))),
% 169.54/24.73 inference('simplify', [status(thm)], [zip_derived_cl15012])).
% 169.54/24.73 thf(zip_derived_cl41, plain, ( (maps @ sk__14 @ sk__15 @ sk__16)),
% 169.54/24.73 inference('cnf', [status(esa)], [zf_stmt_0])).
% 169.54/24.73 thf(zip_derived_cl52, plain,
% 169.54/24.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 169.54/24.73 (~ (maps @ X0 @ X1 @ X2)
% 169.54/24.73 | (member @ (sk_ @ X0 @ X2 @ X3) @ X2)
% 169.54/24.73 | ~ (member @ X3 @ X1))),
% 169.54/24.73 inference('sup-', [status(thm)], [zip_derived_cl12, zip_derived_cl8])).
% 169.54/24.73 thf(zip_derived_cl55, plain,
% 169.54/24.73 (![X0 : $i]:
% 169.54/24.73 (~ (member @ X0 @ sk__15)
% 169.54/24.73 | (member @ (sk_ @ sk__14 @ sk__16 @ X0) @ sk__16))),
% 169.54/24.73 inference('sup-', [status(thm)], [zip_derived_cl41, zip_derived_cl52])).
% 169.54/24.73 thf(zip_derived_cl15283, plain,
% 169.54/24.73 (![X0 : $i, X1 : $i, X2 : $i]:
% 169.54/24.73 (~ (member @ X1 @ sk__15)
% 169.54/24.73 | ~ (member @ X0 @ sk__17)
% 169.54/24.73 | ~ (apply @ sk__12 @ (sk_ @ sk__14 @ sk__16 @ X1) @ X0)
% 169.54/24.73 | ((X2) = (X0))
% 169.54/24.73 | ~ (apply @ sk__12 @ (sk_ @ sk__13 @ sk__16 @ X1) @ X2)
% 169.54/24.73 | ~ (member @ X2 @ sk__17))),
% 169.54/24.73 inference('clc', [status(thm)], [zip_derived_cl15081, zip_derived_cl55])).
% 169.54/24.73 thf(zip_derived_cl15284, plain,
% 169.54/24.73 (![X0 : $i, X1 : $i]:
% 169.54/24.73 (~ (member @ (sk_ @ sk__14 @ sk__16 @ X0) @ sk__16)
% 169.54/24.73 | ~ (member @ X1 @ sk__17)
% 169.54/24.73 | ~ (apply @ sk__12 @ (sk_ @ sk__13 @ sk__16 @ X0) @ X1)
% 169.54/24.73 | ((X1) = (sk_ @ sk__12 @ sk__17 @ (sk_ @ sk__14 @ sk__16 @ X0)))
% 169.54/24.73 | ~ (member @
% 169.54/24.73 (sk_ @ sk__12 @ sk__17 @ (sk_ @ sk__14 @ sk__16 @ X0)) @ sk__17)
% 169.54/24.73 | ~ (member @ X0 @ sk__15))),
% 169.54/24.73 inference('sup-', [status(thm)], [zip_derived_cl72, zip_derived_cl15283])).
% 169.54/24.73 thf(zip_derived_cl55, plain,
% 169.54/24.73 (![X0 : $i]:
% 169.54/24.73 (~ (member @ X0 @ sk__15)
% 169.54/24.73 | (member @ (sk_ @ sk__14 @ sk__16 @ X0) @ sk__16))),
% 169.54/24.73 inference('sup-', [status(thm)], [zip_derived_cl41, zip_derived_cl52])).
% 169.54/24.73 thf(zip_derived_cl15390, plain,
% 169.54/24.73 (![X0 : $i, X1 : $i]:
% 169.54/24.73 (~ (member @ X0 @ sk__15)
% 169.54/24.73 | ~ (member @
% 169.54/24.73 (sk_ @ sk__12 @ sk__17 @ (sk_ @ sk__14 @ sk__16 @ X0)) @ sk__17)
% 169.54/24.73 | ((X1) = (sk_ @ sk__12 @ sk__17 @ (sk_ @ sk__14 @ sk__16 @ X0)))
% 169.54/24.73 | ~ (apply @ sk__12 @ (sk_ @ sk__13 @ sk__16 @ X0) @ X1)
% 169.54/24.73 | ~ (member @ X1 @ sk__17))),
% 169.54/24.73 inference('clc', [status(thm)], [zip_derived_cl15284, zip_derived_cl55])).
% 169.54/24.73 thf(zip_derived_cl39, plain, ( (maps @ sk__12 @ sk__16 @ sk__17)),
% 169.54/24.73 inference('cnf', [status(esa)], [zf_stmt_0])).
% 169.54/24.73 thf(zip_derived_cl52, plain,
% 169.54/24.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 169.54/24.73 (~ (maps @ X0 @ X1 @ X2)
% 169.54/24.73 | (member @ (sk_ @ X0 @ X2 @ X3) @ X2)
% 169.54/24.73 | ~ (member @ X3 @ X1))),
% 169.54/24.73 inference('sup-', [status(thm)], [zip_derived_cl12, zip_derived_cl8])).
% 169.54/24.73 thf(zip_derived_cl53, plain,
% 169.54/24.73 (![X0 : $i]:
% 169.54/24.73 (~ (member @ X0 @ sk__16)
% 169.54/24.73 | (member @ (sk_ @ sk__12 @ sk__17 @ X0) @ sk__17))),
% 169.54/24.73 inference('sup-', [status(thm)], [zip_derived_cl39, zip_derived_cl52])).
% 169.54/24.73 thf(zip_derived_cl15391, plain,
% 169.54/24.73 (![X0 : $i, X1 : $i]:
% 169.54/24.73 (~ (member @ X1 @ sk__17)
% 169.54/24.73 | ~ (apply @ sk__12 @ (sk_ @ sk__13 @ sk__16 @ X0) @ X1)
% 169.54/24.73 | ((X1) = (sk_ @ sk__12 @ sk__17 @ (sk_ @ sk__14 @ sk__16 @ X0)))
% 169.54/24.73 | ~ (member @ X0 @ sk__15)
% 169.54/24.73 | ~ (member @ (sk_ @ sk__14 @ sk__16 @ X0) @ sk__16))),
% 169.54/24.73 inference('sup+', [status(thm)], [zip_derived_cl15390, zip_derived_cl53])).
% 169.54/24.73 thf(zip_derived_cl55, plain,
% 169.54/24.73 (![X0 : $i]:
% 169.54/24.73 (~ (member @ X0 @ sk__15)
% 169.54/24.73 | (member @ (sk_ @ sk__14 @ sk__16 @ X0) @ sk__16))),
% 169.54/24.73 inference('sup-', [status(thm)], [zip_derived_cl41, zip_derived_cl52])).
% 169.54/24.73 thf(zip_derived_cl15513, plain,
% 169.54/24.73 (![X0 : $i, X1 : $i]:
% 169.54/24.73 (~ (member @ X0 @ sk__15)
% 169.54/24.73 | ((X1) = (sk_ @ sk__12 @ sk__17 @ (sk_ @ sk__14 @ sk__16 @ X0)))
% 169.54/24.73 | ~ (apply @ sk__12 @ (sk_ @ sk__13 @ sk__16 @ X0) @ X1)
% 169.54/24.73 | ~ (member @ X1 @ sk__17))),
% 169.54/24.73 inference('clc', [status(thm)], [zip_derived_cl15391, zip_derived_cl55])).
% 169.54/24.73 thf(zip_derived_cl72, plain,
% 169.54/24.73 (![X0 : $i]:
% 169.54/24.73 (~ (member @ X0 @ sk__16)
% 169.54/24.73 | (apply @ sk__12 @ X0 @ (sk_ @ sk__12 @ sk__17 @ X0)))),
% 169.54/24.73 inference('sup-', [status(thm)], [zip_derived_cl39, zip_derived_cl61])).
% 169.54/24.73 thf(zip_derived_cl15562, plain,
% 169.54/24.73 (![X0 : $i]:
% 169.54/24.73 (~ (member @ (sk_ @ sk__12 @ sk__17 @ (sk_ @ sk__13 @ sk__16 @ X0)) @
% 169.54/24.73 sk__17)
% 169.54/24.73 | ((sk_ @ sk__12 @ sk__17 @ (sk_ @ sk__13 @ sk__16 @ X0))
% 169.54/24.73 = (sk_ @ sk__12 @ sk__17 @ (sk_ @ sk__14 @ sk__16 @ X0)))
% 169.54/24.73 | ~ (member @ X0 @ sk__15)
% 169.54/24.73 | ~ (member @ (sk_ @ sk__13 @ sk__16 @ X0) @ sk__16))),
% 169.54/24.73 inference('sup+', [status(thm)], [zip_derived_cl15513, zip_derived_cl72])).
% 169.54/24.73 thf(zip_derived_cl53, plain,
% 169.54/24.73 (![X0 : $i]:
% 169.54/24.73 (~ (member @ X0 @ sk__16)
% 169.54/24.73 | (member @ (sk_ @ sk__12 @ sk__17 @ X0) @ sk__17))),
% 169.54/24.73 inference('sup-', [status(thm)], [zip_derived_cl39, zip_derived_cl52])).
% 169.54/24.73 thf(zip_derived_cl16132, plain,
% 169.54/24.73 (![X0 : $i]:
% 169.54/24.73 (~ (member @ (sk_ @ sk__13 @ sk__16 @ X0) @ sk__16)
% 169.54/24.73 | ~ (member @ X0 @ sk__15)
% 169.54/24.73 | ((sk_ @ sk__12 @ sk__17 @ (sk_ @ sk__13 @ sk__16 @ X0))
% 169.54/24.73 = (sk_ @ sk__12 @ sk__17 @ (sk_ @ sk__14 @ sk__16 @ X0))))),
% 169.54/24.73 inference('clc', [status(thm)], [zip_derived_cl15562, zip_derived_cl53])).
% 169.54/24.73 thf(zip_derived_cl54, plain,
% 169.54/24.73 (![X0 : $i]:
% 169.54/24.73 (~ (member @ X0 @ sk__15)
% 169.54/24.73 | (member @ (sk_ @ sk__13 @ sk__16 @ X0) @ sk__16))),
% 169.54/24.73 inference('sup-', [status(thm)], [zip_derived_cl40, zip_derived_cl52])).
% 169.54/24.73 thf(zip_derived_cl16133, plain,
% 169.54/24.73 (![X0 : $i]:
% 169.54/24.73 (((sk_ @ sk__12 @ sk__17 @ (sk_ @ sk__13 @ sk__16 @ X0))
% 169.54/24.73 = (sk_ @ sk__12 @ sk__17 @ (sk_ @ sk__14 @ sk__16 @ X0)))
% 169.54/24.73 | ~ (member @ X0 @ sk__15))),
% 169.54/24.73 inference('clc', [status(thm)], [zip_derived_cl16132, zip_derived_cl54])).
% 169.54/24.73 thf(zip_derived_cl16185, plain,
% 169.54/24.73 (![X0 : $i, X1 : $i]:
% 169.54/24.73 (((sk_ @ sk__12 @ sk__17 @ X0)
% 169.54/24.73 = (sk_ @ sk__12 @ sk__17 @ (sk_ @ sk__14 @ sk__16 @ X1)))
% 169.54/24.73 | ~ (member @ X0 @ sk__16)
% 169.54/24.73 | ~ (apply @ sk__13 @ X1 @ X0)
% 169.54/24.73 | ~ (member @ X1 @ sk__15)
% 169.54/24.73 | ~ (member @ X1 @ sk__15))),
% 169.54/24.73 inference('sup+', [status(thm)], [zip_derived_cl409, zip_derived_cl16133])).
% 169.54/24.73 thf(zip_derived_cl16191, plain,
% 169.54/24.73 (![X0 : $i, X1 : $i]:
% 169.54/24.73 (~ (member @ X1 @ sk__15)
% 169.54/24.73 | ~ (apply @ sk__13 @ X1 @ X0)
% 169.54/24.73 | ~ (member @ X0 @ sk__16)
% 169.54/24.73 | ((sk_ @ sk__12 @ sk__17 @ X0)
% 169.54/24.73 = (sk_ @ sk__12 @ sk__17 @ (sk_ @ sk__14 @ sk__16 @ X1))))),
% 169.54/24.73 inference('simplify', [status(thm)], [zip_derived_cl16185])).
% 169.54/24.73 thf(zip_derived_cl72, plain,
% 169.54/24.73 (![X0 : $i]:
% 169.54/24.73 (~ (member @ X0 @ sk__16)
% 169.54/24.73 | (apply @ sk__12 @ X0 @ (sk_ @ sk__12 @ sk__17 @ X0)))),
% 169.54/24.73 inference('sup-', [status(thm)], [zip_derived_cl39, zip_derived_cl61])).
% 169.54/24.73 thf(zip_derived_cl38, plain, ( (injective @ sk__12 @ sk__16 @ sk__17)),
% 169.54/24.73 inference('cnf', [status(esa)], [zf_stmt_0])).
% 169.54/24.73 thf(zip_derived_cl72, plain,
% 169.54/24.73 (![X0 : $i]:
% 169.54/24.73 (~ (member @ X0 @ sk__16)
% 169.54/24.73 | (apply @ sk__12 @ X0 @ (sk_ @ sk__12 @ sk__17 @ X0)))),
% 169.54/24.73 inference('sup-', [status(thm)], [zip_derived_cl39, zip_derived_cl61])).
% 169.54/24.73 thf(zip_derived_cl39, plain, ( (maps @ sk__12 @ sk__16 @ sk__17)),
% 169.54/24.73 inference('cnf', [status(esa)], [zf_stmt_0])).
% 169.54/24.73 thf(zip_derived_cl56, plain,
% 169.54/24.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 169.54/24.73 (~ (member @ X2 @ X0)
% 169.54/24.73 | ~ (member @ X3 @ X1)
% 169.54/24.73 | ~ (member @ X4 @ X1)
% 169.54/24.73 | ~ (maps @ X5 @ X0 @ X1)
% 169.54/24.73 | (zip_tseitin_1 @ X4 @ X3 @ X2 @ X5))),
% 169.54/24.73 inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl13])).
% 169.54/24.73 thf(zip_derived_cl57, plain,
% 169.54/24.73 (![X0 : $i, X1 : $i, X2 : $i]:
% 169.54/24.73 ( (zip_tseitin_1 @ X2 @ X1 @ X0 @ sk__12)
% 169.54/24.73 | ~ (member @ X2 @ sk__17)
% 169.54/24.73 | ~ (member @ X1 @ sk__17)
% 169.54/24.73 | ~ (member @ X0 @ sk__16))),
% 169.54/24.73 inference('sup-', [status(thm)], [zip_derived_cl39, zip_derived_cl56])).
% 169.54/24.73 thf(zip_derived_cl4, plain,
% 169.54/24.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 169.54/24.73 (~ (apply @ X0 @ X1 @ X2)
% 169.54/24.73 | ~ (apply @ X0 @ X1 @ X3)
% 169.54/24.73 | ((X2) = (X3))
% 169.54/24.73 | ~ (zip_tseitin_1 @ X3 @ X2 @ X1 @ X0))),
% 169.54/24.73 inference('cnf', [status(esa)], [zf_stmt_4])).
% 169.54/24.73 thf(zip_derived_cl65, plain,
% 169.54/24.73 (![X0 : $i, X1 : $i, X2 : $i]:
% 169.54/24.73 (~ (member @ X0 @ sk__16)
% 169.54/24.73 | ~ (member @ X1 @ sk__17)
% 169.54/24.73 | ~ (member @ X2 @ sk__17)
% 169.54/24.73 | ((X1) = (X2))
% 169.54/24.73 | ~ (apply @ sk__12 @ X0 @ X2)
% 169.54/24.73 | ~ (apply @ sk__12 @ X0 @ X1))),
% 169.54/24.73 inference('sup-', [status(thm)], [zip_derived_cl57, zip_derived_cl4])).
% 169.54/24.73 thf(zip_derived_cl77, plain,
% 169.54/24.73 (![X0 : $i, X1 : $i]:
% 169.54/24.73 (~ (member @ X0 @ sk__16)
% 169.54/24.73 | ~ (apply @ sk__12 @ X0 @ X1)
% 169.54/24.73 | ((X1) = (sk_ @ sk__12 @ sk__17 @ X0))
% 169.54/24.73 | ~ (member @ (sk_ @ sk__12 @ sk__17 @ X0) @ sk__17)
% 169.54/24.73 | ~ (member @ X1 @ sk__17)
% 169.54/24.73 | ~ (member @ X0 @ sk__16))),
% 169.54/24.73 inference('sup-', [status(thm)], [zip_derived_cl72, zip_derived_cl65])).
% 169.54/24.73 thf(zip_derived_cl78, plain,
% 169.54/24.73 (![X0 : $i, X1 : $i]:
% 169.54/24.73 (~ (member @ X1 @ sk__17)
% 169.54/24.73 | ~ (member @ (sk_ @ sk__12 @ sk__17 @ X0) @ sk__17)
% 169.54/24.73 | ((X1) = (sk_ @ sk__12 @ sk__17 @ X0))
% 169.54/24.73 | ~ (apply @ sk__12 @ X0 @ X1)
% 169.54/24.73 | ~ (member @ X0 @ sk__16))),
% 169.54/24.73 inference('simplify', [status(thm)], [zip_derived_cl77])).
% 169.54/24.73 thf(zip_derived_cl53, plain,
% 169.54/24.73 (![X0 : $i]:
% 169.54/24.73 (~ (member @ X0 @ sk__16)
% 169.54/24.73 | (member @ (sk_ @ sk__12 @ sk__17 @ X0) @ sk__17))),
% 169.54/24.73 inference('sup-', [status(thm)], [zip_derived_cl39, zip_derived_cl52])).
% 169.54/24.73 thf(zip_derived_cl312, plain,
% 169.54/24.73 (![X0 : $i, X1 : $i]:
% 169.54/24.73 (~ (member @ X0 @ sk__16)
% 169.54/24.73 | ~ (apply @ sk__12 @ X0 @ X1)
% 169.54/24.73 | ((X1) = (sk_ @ sk__12 @ sk__17 @ X0))
% 169.54/24.73 | ~ (member @ X1 @ sk__17))),
% 169.54/24.73 inference('clc', [status(thm)], [zip_derived_cl78, zip_derived_cl53])).
% 169.54/24.73 thf(zip_derived_cl312, plain,
% 169.54/24.73 (![X0 : $i, X1 : $i]:
% 169.54/24.73 (~ (member @ X0 @ sk__16)
% 169.54/24.73 | ~ (apply @ sk__12 @ X0 @ X1)
% 169.54/24.73 | ((X1) = (sk_ @ sk__12 @ sk__17 @ X0))
% 169.54/24.73 | ~ (member @ X1 @ sk__17))),
% 169.54/24.73 inference('clc', [status(thm)], [zip_derived_cl78, zip_derived_cl53])).
% 169.54/24.73 thf(zip_derived_cl72, plain,
% 169.54/24.73 (![X0 : $i]:
% 169.54/24.73 (~ (member @ X0 @ sk__16)
% 169.54/24.73 | (apply @ sk__12 @ X0 @ (sk_ @ sk__12 @ sk__17 @ X0)))),
% 169.54/24.73 inference('sup-', [status(thm)], [zip_derived_cl39, zip_derived_cl61])).
% 169.54/24.73 thf(injective, axiom,
% 169.54/24.73 (![F:$i,A:$i,B:$i]:
% 169.54/24.73 ( ( injective @ F @ A @ B ) <=>
% 169.54/24.73 ( ![X1:$i,X2:$i,Y:$i]:
% 169.54/24.73 ( ( ( member @ X1 @ A ) & ( member @ X2 @ A ) & ( member @ Y @ B ) ) =>
% 169.54/24.73 ( ( ( apply @ F @ X1 @ Y ) & ( apply @ F @ X2 @ Y ) ) =>
% 169.54/24.73 ( ( X1 ) = ( X2 ) ) ) ) ) ))).
% 169.54/24.73 thf(zip_derived_cl27, plain,
% 169.54/24.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 169.54/24.73 (~ (apply @ X0 @ X1 @ X2)
% 169.54/24.73 | ~ (apply @ X0 @ X3 @ X2)
% 169.54/24.73 | ~ (member @ X2 @ X4)
% 169.54/24.73 | ~ (member @ X1 @ X5)
% 169.54/24.73 | ~ (member @ X3 @ X5)
% 169.54/24.73 | ((X1) = (X3))
% 169.54/24.73 | ~ (injective @ X0 @ X5 @ X4))),
% 169.54/24.73 inference('cnf', [status(esa)], [injective])).
% 169.54/24.73 thf(zip_derived_cl75, plain,
% 169.54/24.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 169.54/24.73 (~ (member @ X0 @ sk__16)
% 169.54/24.73 | ~ (injective @ sk__12 @ X2 @ X1)
% 169.54/24.73 | ((X0) = (X3))
% 169.54/24.73 | ~ (member @ X3 @ X2)
% 169.54/24.73 | ~ (member @ X0 @ X2)
% 169.54/24.73 | ~ (member @ (sk_ @ sk__12 @ sk__17 @ X0) @ X1)
% 169.54/24.73 | ~ (apply @ sk__12 @ X3 @ (sk_ @ sk__12 @ sk__17 @ X0)))),
% 169.54/24.73 inference('sup-', [status(thm)], [zip_derived_cl72, zip_derived_cl27])).
% 169.54/24.73 thf(zip_derived_cl324, plain,
% 169.54/24.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 169.54/24.73 (~ (apply @ sk__12 @ X2 @ X0)
% 169.54/24.73 | ~ (member @ X0 @ sk__17)
% 169.54/24.73 | ~ (apply @ sk__12 @ X1 @ X0)
% 169.54/24.73 | ~ (member @ X1 @ sk__16)
% 169.54/24.73 | ~ (member @ (sk_ @ sk__12 @ sk__17 @ X1) @ X3)
% 169.54/24.73 | ~ (member @ X1 @ X4)
% 169.54/24.73 | ~ (member @ X2 @ X4)
% 169.54/24.73 | ((X1) = (X2))
% 169.54/24.73 | ~ (injective @ sk__12 @ X4 @ X3)
% 169.54/24.73 | ~ (member @ X1 @ sk__16))),
% 169.54/24.73 inference('sup-', [status(thm)], [zip_derived_cl312, zip_derived_cl75])).
% 169.54/24.73 thf(zip_derived_cl345, plain,
% 169.54/24.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 169.54/24.73 (~ (injective @ sk__12 @ X4 @ X3)
% 169.54/24.73 | ((X1) = (X2))
% 169.54/24.73 | ~ (member @ X2 @ X4)
% 169.54/24.73 | ~ (member @ X1 @ X4)
% 169.54/24.73 | ~ (member @ (sk_ @ sk__12 @ sk__17 @ X1) @ X3)
% 169.54/24.73 | ~ (member @ X1 @ sk__16)
% 169.54/24.73 | ~ (apply @ sk__12 @ X1 @ X0)
% 169.54/24.73 | ~ (member @ X0 @ sk__17)
% 169.54/24.73 | ~ (apply @ sk__12 @ X2 @ X0))),
% 169.54/24.73 inference('simplify', [status(thm)], [zip_derived_cl324])).
% 169.54/24.73 thf(zip_derived_cl404, plain,
% 169.54/24.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 169.54/24.73 (~ (member @ X0 @ X1)
% 169.54/24.73 | ~ (member @ X0 @ sk__17)
% 169.54/24.73 | ~ (apply @ sk__12 @ X2 @ X0)
% 169.54/24.73 | ~ (member @ X2 @ sk__16)
% 169.54/24.73 | ~ (apply @ sk__12 @ X4 @ X3)
% 169.54/24.73 | ~ (member @ X3 @ sk__17)
% 169.54/24.73 | ~ (apply @ sk__12 @ X2 @ X3)
% 169.54/24.73 | ~ (member @ X2 @ sk__16)
% 169.54/24.73 | ~ (member @ X2 @ X5)
% 169.54/24.73 | ~ (member @ X4 @ X5)
% 169.54/24.73 | ((X2) = (X4))
% 169.54/24.73 | ~ (injective @ sk__12 @ X5 @ X1))),
% 169.54/24.73 inference('sup-', [status(thm)], [zip_derived_cl312, zip_derived_cl345])).
% 169.54/24.73 thf(zip_derived_cl407, plain,
% 169.54/24.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 169.54/24.73 (~ (injective @ sk__12 @ X5 @ X1)
% 169.54/24.73 | ((X2) = (X4))
% 169.54/24.73 | ~ (member @ X4 @ X5)
% 169.54/24.73 | ~ (member @ X2 @ X5)
% 169.54/24.73 | ~ (apply @ sk__12 @ X2 @ X3)
% 169.54/24.73 | ~ (member @ X3 @ sk__17)
% 169.54/24.73 | ~ (apply @ sk__12 @ X4 @ X3)
% 169.54/24.73 | ~ (member @ X2 @ sk__16)
% 169.54/24.73 | ~ (apply @ sk__12 @ X2 @ X0)
% 169.54/24.73 | ~ (member @ X0 @ sk__17)
% 169.54/24.73 | ~ (member @ X0 @ X1))),
% 169.54/24.73 inference('simplify', [status(thm)], [zip_derived_cl404])).
% 169.54/24.73 thf(zip_derived_cl1276, plain,
% 169.54/24.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 169.54/24.73 (~ (member @ X0 @ sk__17)
% 169.54/24.73 | ~ (member @ X0 @ sk__17)
% 169.54/24.73 | ~ (apply @ sk__12 @ X1 @ X0)
% 169.54/24.73 | ~ (member @ X1 @ sk__16)
% 169.54/24.73 | ~ (apply @ sk__12 @ X3 @ X2)
% 169.54/24.73 | ~ (member @ X2 @ sk__17)
% 169.54/24.73 | ~ (apply @ sk__12 @ X1 @ X2)
% 169.54/24.73 | ~ (member @ X1 @ sk__16)
% 169.54/24.73 | ~ (member @ X3 @ sk__16)
% 169.54/24.73 | ((X1) = (X3)))),
% 169.54/24.73 inference('sup-', [status(thm)], [zip_derived_cl38, zip_derived_cl407])).
% 169.54/24.73 thf(zip_derived_cl1277, plain,
% 169.54/24.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 169.54/24.73 (((X1) = (X3))
% 169.54/24.73 | ~ (member @ X3 @ sk__16)
% 169.54/24.73 | ~ (apply @ sk__12 @ X1 @ X2)
% 169.54/24.73 | ~ (member @ X2 @ sk__17)
% 169.54/24.73 | ~ (apply @ sk__12 @ X3 @ X2)
% 169.54/24.73 | ~ (member @ X1 @ sk__16)
% 169.54/24.73 | ~ (apply @ sk__12 @ X1 @ X0)
% 169.54/24.73 | ~ (member @ X0 @ sk__17))),
% 169.54/24.73 inference('simplify', [status(thm)], [zip_derived_cl1276])).
% 169.54/24.73 thf(zip_derived_cl1292, plain,
% 169.54/24.73 (![X0 : $i, X1 : $i, X2 : $i]:
% 169.54/24.73 (~ (member @ X0 @ sk__17)
% 169.54/24.73 | ~ (apply @ sk__12 @ X1 @ X0)
% 169.54/24.73 | ~ (member @ X1 @ sk__16)
% 169.54/24.73 | ~ (apply @ sk__12 @ X2 @ X0)
% 169.54/24.73 | ~ (member @ X0 @ sk__17)
% 169.54/24.73 | ~ (member @ X2 @ sk__16)
% 169.54/24.73 | ((X1) = (X2)))),
% 169.54/24.73 inference('eq_fact', [status(thm)], [zip_derived_cl1277])).
% 169.54/24.73 thf(zip_derived_cl1294, plain,
% 169.54/24.73 (![X0 : $i, X1 : $i, X2 : $i]:
% 169.54/24.73 (((X1) = (X2))
% 169.54/24.73 | ~ (member @ X2 @ sk__16)
% 169.54/24.73 | ~ (apply @ sk__12 @ X2 @ X0)
% 169.54/24.73 | ~ (member @ X1 @ sk__16)
% 169.54/24.73 | ~ (apply @ sk__12 @ X1 @ X0)
% 169.54/24.73 | ~ (member @ X0 @ sk__17))),
% 169.54/24.73 inference('simplify', [status(thm)], [zip_derived_cl1292])).
% 169.54/24.73 thf(zip_derived_cl1308, plain,
% 169.54/24.73 (![X0 : $i, X1 : $i]:
% 169.54/24.73 (~ (member @ X0 @ sk__16)
% 169.54/24.73 | ~ (member @ (sk_ @ sk__12 @ sk__17 @ X0) @ sk__17)
% 169.54/24.73 | ~ (apply @ sk__12 @ X1 @ (sk_ @ sk__12 @ sk__17 @ X0))
% 169.54/24.73 | ~ (member @ X1 @ sk__16)
% 169.54/24.73 | ~ (member @ X0 @ sk__16)
% 169.54/24.73 | ((X1) = (X0)))),
% 169.54/24.73 inference('sup-', [status(thm)], [zip_derived_cl72, zip_derived_cl1294])).
% 169.54/24.73 thf(zip_derived_cl1312, plain,
% 169.54/24.73 (![X0 : $i, X1 : $i]:
% 169.54/24.73 (((X1) = (X0))
% 169.54/24.73 | ~ (member @ X1 @ sk__16)
% 169.54/24.73 | ~ (apply @ sk__12 @ X1 @ (sk_ @ sk__12 @ sk__17 @ X0))
% 169.54/24.73 | ~ (member @ (sk_ @ sk__12 @ sk__17 @ X0) @ sk__17)
% 169.54/24.73 | ~ (member @ X0 @ sk__16))),
% 169.54/24.73 inference('simplify', [status(thm)], [zip_derived_cl1308])).
% 169.54/24.73 thf(zip_derived_cl53, plain,
% 169.54/24.73 (![X0 : $i]:
% 169.54/24.73 (~ (member @ X0 @ sk__16)
% 169.54/24.73 | (member @ (sk_ @ sk__12 @ sk__17 @ X0) @ sk__17))),
% 169.54/24.73 inference('sup-', [status(thm)], [zip_derived_cl39, zip_derived_cl52])).
% 169.54/24.73 thf(zip_derived_cl1314, plain,
% 169.54/24.73 (![X0 : $i, X1 : $i]:
% 169.54/24.73 (~ (member @ X0 @ sk__16)
% 169.54/24.73 | ~ (apply @ sk__12 @ X1 @ (sk_ @ sk__12 @ sk__17 @ X0))
% 169.54/24.73 | ~ (member @ X1 @ sk__16)
% 169.54/24.73 | ((X1) = (X0)))),
% 169.54/24.73 inference('clc', [status(thm)], [zip_derived_cl1312, zip_derived_cl53])).
% 169.54/24.73 thf(zip_derived_cl16388, plain,
% 169.54/24.73 (![X0 : $i, X1 : $i, X2 : $i]:
% 169.54/24.73 (~ (apply @ sk__12 @ X2 @
% 169.54/24.73 (sk_ @ sk__12 @ sk__17 @ (sk_ @ sk__14 @ sk__16 @ X0)))
% 169.54/24.73 | ~ (member @ X1 @ sk__16)
% 169.54/24.73 | ~ (apply @ sk__13 @ X0 @ X1)
% 169.54/24.73 | ~ (member @ X0 @ sk__15)
% 169.54/24.73 | ((X2) = (X1))
% 169.54/24.73 | ~ (member @ X2 @ sk__16)
% 169.54/24.73 | ~ (member @ X1 @ sk__16))),
% 169.54/24.73 inference('sup-', [status(thm)],
% 169.54/24.73 [zip_derived_cl16191, zip_derived_cl1314])).
% 169.54/24.73 thf(zip_derived_cl16524, plain,
% 169.54/24.73 (![X0 : $i, X1 : $i, X2 : $i]:
% 169.54/24.73 (~ (member @ X2 @ sk__16)
% 169.54/24.73 | ((X2) = (X1))
% 169.54/24.73 | ~ (member @ X0 @ sk__15)
% 169.54/24.73 | ~ (apply @ sk__13 @ X0 @ X1)
% 169.54/24.73 | ~ (member @ X1 @ sk__16)
% 169.54/24.73 | ~ (apply @ sk__12 @ X2 @
% 169.54/24.73 (sk_ @ sk__12 @ sk__17 @ (sk_ @ sk__14 @ sk__16 @ X0))))),
% 169.54/24.73 inference('simplify', [status(thm)], [zip_derived_cl16388])).
% 169.54/24.73 thf(zip_derived_cl16893, plain,
% 169.54/24.73 (![X0 : $i, X1 : $i]:
% 169.54/24.73 (~ (member @ (sk_ @ sk__14 @ sk__16 @ X0) @ sk__16)
% 169.54/24.73 | ~ (member @ X1 @ sk__16)
% 169.54/24.73 | ~ (apply @ sk__13 @ X0 @ X1)
% 169.54/24.73 | ~ (member @ X0 @ sk__15)
% 169.54/24.73 | ((sk_ @ sk__14 @ sk__16 @ X0) = (X1))
% 169.54/24.73 | ~ (member @ (sk_ @ sk__14 @ sk__16 @ X0) @ sk__16))),
% 169.54/24.73 inference('sup-', [status(thm)], [zip_derived_cl72, zip_derived_cl16524])).
% 169.54/24.73 thf(zip_derived_cl16914, plain,
% 169.54/24.73 (![X0 : $i, X1 : $i]:
% 169.54/24.73 (((sk_ @ sk__14 @ sk__16 @ X0) = (X1))
% 169.54/24.73 | ~ (member @ X0 @ sk__15)
% 169.54/24.73 | ~ (apply @ sk__13 @ X0 @ X1)
% 169.54/24.73 | ~ (member @ X1 @ sk__16)
% 169.54/24.73 | ~ (member @ (sk_ @ sk__14 @ sk__16 @ X0) @ sk__16))),
% 169.54/24.73 inference('simplify', [status(thm)], [zip_derived_cl16893])).
% 169.54/24.73 thf(zip_derived_cl55, plain,
% 169.54/24.73 (![X0 : $i]:
% 169.54/24.73 (~ (member @ X0 @ sk__15)
% 169.54/24.73 | (member @ (sk_ @ sk__14 @ sk__16 @ X0) @ sk__16))),
% 169.54/24.73 inference('sup-', [status(thm)], [zip_derived_cl41, zip_derived_cl52])).
% 169.54/24.73 thf(zip_derived_cl17135, plain,
% 169.54/24.73 (![X0 : $i, X1 : $i]:
% 169.54/24.73 (~ (member @ X1 @ sk__16)
% 169.54/24.73 | ~ (apply @ sk__13 @ X0 @ X1)
% 169.54/24.73 | ~ (member @ X0 @ sk__15)
% 169.54/24.73 | ((sk_ @ sk__14 @ sk__16 @ X0) = (X1)))),
% 169.54/24.73 inference('clc', [status(thm)], [zip_derived_cl16914, zip_derived_cl55])).
% 169.54/24.73 thf(zip_derived_cl17348, plain,
% 169.54/24.73 (![X0 : $i]:
% 169.54/24.73 (~ (member @ X0 @ sk__15)
% 169.54/24.73 | ((sk_ @ sk__14 @ sk__16 @ X0) = (sk_ @ sk__13 @ sk__16 @ X0))
% 169.54/24.73 | ~ (member @ X0 @ sk__15)
% 169.54/24.73 | ~ (member @ (sk_ @ sk__13 @ sk__16 @ X0) @ sk__16))),
% 169.54/24.73 inference('sup-', [status(thm)], [zip_derived_cl73, zip_derived_cl17135])).
% 169.54/24.73 thf(zip_derived_cl17351, plain,
% 169.54/24.73 (![X0 : $i]:
% 169.54/24.73 (~ (member @ (sk_ @ sk__13 @ sk__16 @ X0) @ sk__16)
% 169.54/24.73 | ((sk_ @ sk__14 @ sk__16 @ X0) = (sk_ @ sk__13 @ sk__16 @ X0))
% 169.54/24.73 | ~ (member @ X0 @ sk__15))),
% 169.54/24.73 inference('simplify', [status(thm)], [zip_derived_cl17348])).
% 169.54/24.73 thf(zip_derived_cl54, plain,
% 169.54/24.73 (![X0 : $i]:
% 169.54/24.73 (~ (member @ X0 @ sk__15)
% 169.54/24.73 | (member @ (sk_ @ sk__13 @ sk__16 @ X0) @ sk__16))),
% 169.54/24.73 inference('sup-', [status(thm)], [zip_derived_cl40, zip_derived_cl52])).
% 169.54/24.73 thf(zip_derived_cl17839, plain,
% 169.54/24.73 (![X0 : $i]:
% 169.54/24.73 (~ (member @ X0 @ sk__15)
% 169.54/24.73 | ((sk_ @ sk__14 @ sk__16 @ X0) = (sk_ @ sk__13 @ sk__16 @ X0)))),
% 169.54/24.73 inference('clc', [status(thm)], [zip_derived_cl17351, zip_derived_cl54])).
% 169.54/24.73 thf(zip_derived_cl23, plain,
% 169.54/24.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 169.54/24.73 ( (equal_maps @ X0 @ X1 @ X2 @ X3)
% 169.54/24.73 | (member @ (sk__6 @ X3 @ X2 @ X1 @ X0) @ X2))),
% 169.54/24.73 inference('cnf', [status(esa)], [equal_maps])).
% 169.54/24.73 thf(zip_derived_cl22, plain,
% 169.54/24.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 169.54/24.73 ( (equal_maps @ X0 @ X1 @ X2 @ X3)
% 169.54/24.73 | (member @ (sk__7 @ X3 @ X2 @ X1 @ X0) @ X3))),
% 169.54/24.73 inference('cnf', [status(esa)], [equal_maps])).
% 169.54/24.73 thf(zip_derived_cl21, plain,
% 169.54/24.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 169.54/24.73 ( (equal_maps @ X0 @ X1 @ X2 @ X3)
% 169.54/24.73 | (apply @ X0 @ (sk__6 @ X3 @ X2 @ X1 @ X0) @
% 169.54/24.73 (sk__7 @ X3 @ X2 @ X1 @ X0)))),
% 169.54/24.73 inference('cnf', [status(esa)], [equal_maps])).
% 169.54/24.73 thf(zip_derived_cl409, plain,
% 169.54/24.73 (![X0 : $i, X1 : $i]:
% 169.54/24.73 (~ (member @ X0 @ sk__15)
% 169.54/24.73 | ~ (apply @ sk__13 @ X0 @ X1)
% 169.54/24.74 | ((X1) = (sk_ @ sk__13 @ sk__16 @ X0))
% 169.54/24.74 | ~ (member @ X1 @ sk__16))),
% 169.54/24.74 inference('clc', [status(thm)], [zip_derived_cl93, zip_derived_cl54])).
% 169.54/24.74 thf(zip_derived_cl686, plain,
% 169.54/24.74 (![X0 : $i, X1 : $i, X2 : $i]:
% 169.54/24.74 ( (equal_maps @ sk__13 @ X0 @ X1 @ X2)
% 169.54/24.74 | ~ (member @ (sk__7 @ X2 @ X1 @ X0 @ sk__13) @ sk__16)
% 169.54/24.74 | ((sk__7 @ X2 @ X1 @ X0 @ sk__13)
% 169.54/24.74 = (sk_ @ sk__13 @ sk__16 @ (sk__6 @ X2 @ X1 @ X0 @ sk__13)))
% 169.54/24.74 | ~ (member @ (sk__6 @ X2 @ X1 @ X0 @ sk__13) @ sk__15))),
% 169.54/24.74 inference('sup-', [status(thm)], [zip_derived_cl21, zip_derived_cl409])).
% 169.54/24.74 thf(zip_derived_cl10931, plain,
% 169.54/24.74 (![X0 : $i, X1 : $i]:
% 169.54/24.74 ( (equal_maps @ sk__13 @ X0 @ X1 @ sk__16)
% 169.54/24.74 | ~ (member @ (sk__6 @ sk__16 @ X1 @ X0 @ sk__13) @ sk__15)
% 169.54/24.74 | ((sk__7 @ sk__16 @ X1 @ X0 @ sk__13)
% 169.54/24.74 = (sk_ @ sk__13 @ sk__16 @ (sk__6 @ sk__16 @ X1 @ X0 @ sk__13)))
% 169.54/24.74 | (equal_maps @ sk__13 @ X0 @ X1 @ sk__16))),
% 169.54/24.74 inference('sup-', [status(thm)], [zip_derived_cl22, zip_derived_cl686])).
% 169.54/24.74 thf(zip_derived_cl10935, plain,
% 169.54/24.74 (![X0 : $i, X1 : $i]:
% 169.54/24.74 (((sk__7 @ sk__16 @ X1 @ X0 @ sk__13)
% 169.54/24.74 = (sk_ @ sk__13 @ sk__16 @ (sk__6 @ sk__16 @ X1 @ X0 @ sk__13)))
% 169.54/24.74 | ~ (member @ (sk__6 @ sk__16 @ X1 @ X0 @ sk__13) @ sk__15)
% 169.54/24.74 | (equal_maps @ sk__13 @ X0 @ X1 @ sk__16))),
% 169.54/24.74 inference('simplify', [status(thm)], [zip_derived_cl10931])).
% 169.54/24.74 thf(zip_derived_cl10938, plain,
% 169.54/24.74 (![X0 : $i]:
% 169.54/24.74 ( (equal_maps @ sk__13 @ X0 @ sk__15 @ sk__16)
% 169.54/24.74 | (equal_maps @ sk__13 @ X0 @ sk__15 @ sk__16)
% 169.54/24.74 | ((sk__7 @ sk__16 @ sk__15 @ X0 @ sk__13)
% 169.54/24.74 = (sk_ @ sk__13 @ sk__16 @
% 169.54/24.74 (sk__6 @ sk__16 @ sk__15 @ X0 @ sk__13))))),
% 169.54/24.74 inference('sup-', [status(thm)], [zip_derived_cl23, zip_derived_cl10935])).
% 169.54/24.74 thf(zip_derived_cl10942, plain,
% 169.54/24.74 (![X0 : $i]:
% 169.54/24.74 (((sk__7 @ sk__16 @ sk__15 @ X0 @ sk__13)
% 169.54/24.74 = (sk_ @ sk__13 @ sk__16 @ (sk__6 @ sk__16 @ sk__15 @ X0 @ sk__13)))
% 169.54/24.74 | (equal_maps @ sk__13 @ X0 @ sk__15 @ sk__16))),
% 169.54/24.74 inference('simplify', [status(thm)], [zip_derived_cl10938])).
% 169.54/24.74 thf(zip_derived_cl17975, plain,
% 169.54/24.74 (![X0 : $i]:
% 169.54/24.74 (((sk__7 @ sk__16 @ sk__15 @ X0 @ sk__13)
% 169.54/24.74 = (sk_ @ sk__14 @ sk__16 @ (sk__6 @ sk__16 @ sk__15 @ X0 @ sk__13)))
% 169.54/24.74 | ~ (member @ (sk__6 @ sk__16 @ sk__15 @ X0 @ sk__13) @ sk__15)
% 169.54/24.74 | (equal_maps @ sk__13 @ X0 @ sk__15 @ sk__16))),
% 169.54/24.74 inference('sup+', [status(thm)],
% 169.54/24.74 [zip_derived_cl17839, zip_derived_cl10942])).
% 169.54/24.74 thf(zip_derived_cl23, plain,
% 169.54/24.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 169.54/24.74 ( (equal_maps @ X0 @ X1 @ X2 @ X3)
% 169.54/24.74 | (member @ (sk__6 @ X3 @ X2 @ X1 @ X0) @ X2))),
% 169.54/24.74 inference('cnf', [status(esa)], [equal_maps])).
% 169.54/24.74 thf(zip_derived_cl41674, plain,
% 169.54/24.74 (![X0 : $i]:
% 169.54/24.74 ( (equal_maps @ sk__13 @ X0 @ sk__15 @ sk__16)
% 169.54/24.74 | ((sk__7 @ sk__16 @ sk__15 @ X0 @ sk__13)
% 169.54/24.74 = (sk_ @ sk__14 @ sk__16 @
% 169.54/24.74 (sk__6 @ sk__16 @ sk__15 @ X0 @ sk__13))))),
% 169.54/24.74 inference('clc', [status(thm)], [zip_derived_cl17975, zip_derived_cl23])).
% 169.54/24.74 thf(zip_derived_cl23, plain,
% 169.54/24.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 169.54/24.74 ( (equal_maps @ X0 @ X1 @ X2 @ X3)
% 169.54/24.74 | (member @ (sk__6 @ X3 @ X2 @ X1 @ X0) @ X2))),
% 169.54/24.74 inference('cnf', [status(esa)], [equal_maps])).
% 169.54/24.74 thf(zip_derived_cl24, plain,
% 169.54/24.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 169.54/24.74 ( (equal_maps @ X0 @ X1 @ X2 @ X3)
% 169.54/24.74 | (member @ (sk__8 @ X3 @ X2 @ X1 @ X0) @ X3))),
% 169.54/24.74 inference('cnf', [status(esa)], [equal_maps])).
% 169.54/24.74 thf(zip_derived_cl26, plain,
% 169.54/24.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 169.54/24.74 ( (equal_maps @ X0 @ X1 @ X2 @ X3)
% 169.54/24.74 | (apply @ X1 @ (sk__6 @ X3 @ X2 @ X1 @ X0) @
% 169.54/24.74 (sk__8 @ X3 @ X2 @ X1 @ X0)))),
% 169.54/24.74 inference('cnf', [status(esa)], [equal_maps])).
% 169.54/24.74 thf(zip_derived_cl74, plain,
% 169.54/24.74 (![X0 : $i]:
% 169.54/24.74 (~ (member @ X0 @ sk__15)
% 169.54/24.74 | (apply @ sk__14 @ X0 @ (sk_ @ sk__14 @ sk__16 @ X0)))),
% 169.54/24.74 inference('sup-', [status(thm)], [zip_derived_cl41, zip_derived_cl61])).
% 169.54/24.74 thf(zip_derived_cl41, plain, ( (maps @ sk__14 @ sk__15 @ sk__16)),
% 169.54/24.74 inference('cnf', [status(esa)], [zf_stmt_0])).
% 169.54/24.74 thf(zip_derived_cl56, plain,
% 169.54/24.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 169.54/24.74 (~ (member @ X2 @ X0)
% 169.54/24.74 | ~ (member @ X3 @ X1)
% 169.54/24.74 | ~ (member @ X4 @ X1)
% 169.54/24.74 | ~ (maps @ X5 @ X0 @ X1)
% 169.54/24.74 | (zip_tseitin_1 @ X4 @ X3 @ X2 @ X5))),
% 169.54/24.74 inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl13])).
% 169.54/24.74 thf(zip_derived_cl59, plain,
% 169.54/24.74 (![X0 : $i, X1 : $i, X2 : $i]:
% 169.54/24.74 ( (zip_tseitin_1 @ X2 @ X1 @ X0 @ sk__14)
% 169.54/24.74 | ~ (member @ X2 @ sk__16)
% 169.54/24.74 | ~ (member @ X1 @ sk__16)
% 169.54/24.74 | ~ (member @ X0 @ sk__15))),
% 169.54/24.74 inference('sup-', [status(thm)], [zip_derived_cl41, zip_derived_cl56])).
% 169.54/24.74 thf(zip_derived_cl4, plain,
% 169.54/24.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 169.54/24.74 (~ (apply @ X0 @ X1 @ X2)
% 169.54/24.74 | ~ (apply @ X0 @ X1 @ X3)
% 169.54/24.74 | ((X2) = (X3))
% 169.54/24.74 | ~ (zip_tseitin_1 @ X3 @ X2 @ X1 @ X0))),
% 169.54/24.74 inference('cnf', [status(esa)], [zf_stmt_4])).
% 169.54/24.74 thf(zip_derived_cl69, plain,
% 169.54/24.74 (![X0 : $i, X1 : $i, X2 : $i]:
% 169.54/24.74 (~ (member @ X0 @ sk__15)
% 169.54/24.74 | ~ (member @ X1 @ sk__16)
% 169.54/24.74 | ~ (member @ X2 @ sk__16)
% 169.54/24.74 | ((X1) = (X2))
% 169.54/24.74 | ~ (apply @ sk__14 @ X0 @ X2)
% 169.54/24.74 | ~ (apply @ sk__14 @ X0 @ X1))),
% 169.54/24.74 inference('sup-', [status(thm)], [zip_derived_cl59, zip_derived_cl4])).
% 169.54/24.74 thf(zip_derived_cl94, plain,
% 169.54/24.74 (![X0 : $i, X1 : $i]:
% 169.54/24.74 (~ (member @ X0 @ sk__15)
% 169.54/24.74 | ~ (apply @ sk__14 @ X0 @ X1)
% 169.54/24.74 | ((X1) = (sk_ @ sk__14 @ sk__16 @ X0))
% 169.54/24.74 | ~ (member @ (sk_ @ sk__14 @ sk__16 @ X0) @ sk__16)
% 169.54/24.74 | ~ (member @ X1 @ sk__16)
% 169.54/24.74 | ~ (member @ X0 @ sk__15))),
% 169.54/24.74 inference('sup-', [status(thm)], [zip_derived_cl74, zip_derived_cl69])).
% 169.54/24.74 thf(zip_derived_cl97, plain,
% 169.54/24.74 (![X0 : $i, X1 : $i]:
% 169.54/24.74 (~ (member @ X1 @ sk__16)
% 169.54/24.74 | ~ (member @ (sk_ @ sk__14 @ sk__16 @ X0) @ sk__16)
% 169.54/24.74 | ((X1) = (sk_ @ sk__14 @ sk__16 @ X0))
% 169.54/24.74 | ~ (apply @ sk__14 @ X0 @ X1)
% 169.54/24.74 | ~ (member @ X0 @ sk__15))),
% 169.54/24.74 inference('simplify', [status(thm)], [zip_derived_cl94])).
% 169.54/24.74 thf(zip_derived_cl55, plain,
% 169.54/24.74 (![X0 : $i]:
% 169.54/24.74 (~ (member @ X0 @ sk__15)
% 169.54/24.74 | (member @ (sk_ @ sk__14 @ sk__16 @ X0) @ sk__16))),
% 169.54/24.74 inference('sup-', [status(thm)], [zip_derived_cl41, zip_derived_cl52])).
% 169.54/24.74 thf(zip_derived_cl449, plain,
% 169.54/24.74 (![X0 : $i, X1 : $i]:
% 169.54/24.74 (~ (member @ X0 @ sk__15)
% 169.54/24.74 | ~ (apply @ sk__14 @ X0 @ X1)
% 169.54/24.74 | ((X1) = (sk_ @ sk__14 @ sk__16 @ X0))
% 169.54/24.74 | ~ (member @ X1 @ sk__16))),
% 169.54/24.74 inference('clc', [status(thm)], [zip_derived_cl97, zip_derived_cl55])).
% 169.54/24.74 thf(zip_derived_cl868, plain,
% 169.54/24.74 (![X0 : $i, X1 : $i, X2 : $i]:
% 169.54/24.74 ( (equal_maps @ X0 @ sk__14 @ X1 @ X2)
% 169.54/24.74 | ~ (member @ (sk__8 @ X2 @ X1 @ sk__14 @ X0) @ sk__16)
% 169.54/24.74 | ((sk__8 @ X2 @ X1 @ sk__14 @ X0)
% 169.54/24.74 = (sk_ @ sk__14 @ sk__16 @ (sk__6 @ X2 @ X1 @ sk__14 @ X0)))
% 169.54/24.74 | ~ (member @ (sk__6 @ X2 @ X1 @ sk__14 @ X0) @ sk__15))),
% 169.54/24.74 inference('sup-', [status(thm)], [zip_derived_cl26, zip_derived_cl449])).
% 169.54/24.74 thf(zip_derived_cl12872, plain,
% 169.54/24.74 (![X0 : $i, X1 : $i]:
% 169.54/24.74 ( (equal_maps @ X0 @ sk__14 @ X1 @ sk__16)
% 169.54/24.74 | ~ (member @ (sk__6 @ sk__16 @ X1 @ sk__14 @ X0) @ sk__15)
% 169.54/24.74 | ((sk__8 @ sk__16 @ X1 @ sk__14 @ X0)
% 169.54/24.74 = (sk_ @ sk__14 @ sk__16 @ (sk__6 @ sk__16 @ X1 @ sk__14 @ X0)))
% 169.54/24.74 | (equal_maps @ X0 @ sk__14 @ X1 @ sk__16))),
% 169.54/24.74 inference('sup-', [status(thm)], [zip_derived_cl24, zip_derived_cl868])).
% 169.54/24.74 thf(zip_derived_cl12876, plain,
% 169.54/24.74 (![X0 : $i, X1 : $i]:
% 169.54/24.74 (((sk__8 @ sk__16 @ X1 @ sk__14 @ X0)
% 169.54/24.74 = (sk_ @ sk__14 @ sk__16 @ (sk__6 @ sk__16 @ X1 @ sk__14 @ X0)))
% 169.54/24.74 | ~ (member @ (sk__6 @ sk__16 @ X1 @ sk__14 @ X0) @ sk__15)
% 169.54/24.74 | (equal_maps @ X0 @ sk__14 @ X1 @ sk__16))),
% 169.54/24.74 inference('simplify', [status(thm)], [zip_derived_cl12872])).
% 169.54/24.74 thf(zip_derived_cl12879, plain,
% 169.54/24.74 (![X0 : $i]:
% 169.54/24.74 ( (equal_maps @ X0 @ sk__14 @ sk__15 @ sk__16)
% 169.54/24.74 | (equal_maps @ X0 @ sk__14 @ sk__15 @ sk__16)
% 169.54/24.74 | ((sk__8 @ sk__16 @ sk__15 @ sk__14 @ X0)
% 169.54/24.74 = (sk_ @ sk__14 @ sk__16 @
% 169.54/24.74 (sk__6 @ sk__16 @ sk__15 @ sk__14 @ X0))))),
% 169.54/24.74 inference('sup-', [status(thm)], [zip_derived_cl23, zip_derived_cl12876])).
% 169.54/24.74 thf(zip_derived_cl12883, plain,
% 169.54/24.74 (![X0 : $i]:
% 169.54/24.74 (((sk__8 @ sk__16 @ sk__15 @ sk__14 @ X0)
% 169.54/24.74 = (sk_ @ sk__14 @ sk__16 @ (sk__6 @ sk__16 @ sk__15 @ sk__14 @ X0)))
% 169.54/24.74 | (equal_maps @ X0 @ sk__14 @ sk__15 @ sk__16))),
% 169.54/24.74 inference('simplify', [status(thm)], [zip_derived_cl12879])).
% 169.54/24.74 thf(zip_derived_cl41779, plain,
% 169.54/24.74 ((((sk__8 @ sk__16 @ sk__15 @ sk__14 @ sk__13)
% 169.54/24.74 = (sk__7 @ sk__16 @ sk__15 @ sk__14 @ sk__13))
% 169.54/24.74 | (equal_maps @ sk__13 @ sk__14 @ sk__15 @ sk__16)
% 169.54/24.74 | (equal_maps @ sk__13 @ sk__14 @ sk__15 @ sk__16))),
% 169.54/24.74 inference('sup+', [status(thm)],
% 169.54/24.74 [zip_derived_cl41674, zip_derived_cl12883])).
% 169.54/24.74 thf(zip_derived_cl42, plain,
% 169.54/24.74 (~ (equal_maps @ sk__13 @ sk__14 @ sk__15 @ sk__16)),
% 169.54/24.74 inference('cnf', [status(esa)], [zf_stmt_0])).
% 169.54/24.74 thf(zip_derived_cl42, plain,
% 169.54/24.74 (~ (equal_maps @ sk__13 @ sk__14 @ sk__15 @ sk__16)),
% 169.54/24.74 inference('cnf', [status(esa)], [zf_stmt_0])).
% 169.54/24.74 thf(zip_derived_cl41804, plain,
% 169.54/24.74 (((sk__8 @ sk__16 @ sk__15 @ sk__14 @ sk__13)
% 169.54/24.74 = (sk__7 @ sk__16 @ sk__15 @ sk__14 @ sk__13))),
% 169.54/24.74 inference('demod', [status(thm)],
% 169.54/24.74 [zip_derived_cl41779, zip_derived_cl42, zip_derived_cl42])).
% 169.54/24.74 thf(zip_derived_cl25, plain,
% 169.54/24.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 169.54/24.74 ( (equal_maps @ X0 @ X1 @ X2 @ X3)
% 169.54/24.74 | ((sk__7 @ X3 @ X2 @ X1 @ X0) != (sk__8 @ X3 @ X2 @ X1 @ X0)))),
% 169.54/24.74 inference('cnf', [status(esa)], [equal_maps])).
% 169.54/24.74 thf(zip_derived_cl41807, plain,
% 169.54/24.74 ((((sk__8 @ sk__16 @ sk__15 @ sk__14 @ sk__13)
% 169.54/24.74 != (sk__8 @ sk__16 @ sk__15 @ sk__14 @ sk__13))
% 169.54/24.74 | (equal_maps @ sk__13 @ sk__14 @ sk__15 @ sk__16))),
% 169.54/24.74 inference('sup-', [status(thm)], [zip_derived_cl41804, zip_derived_cl25])).
% 169.54/24.74 thf(zip_derived_cl42, plain,
% 169.54/24.74 (~ (equal_maps @ sk__13 @ sk__14 @ sk__15 @ sk__16)),
% 169.54/24.74 inference('cnf', [status(esa)], [zf_stmt_0])).
% 169.54/24.74 thf(zip_derived_cl41816, plain,
% 169.54/24.74 (((sk__8 @ sk__16 @ sk__15 @ sk__14 @ sk__13)
% 169.54/24.74 != (sk__8 @ sk__16 @ sk__15 @ sk__14 @ sk__13))),
% 169.54/24.74 inference('demod', [status(thm)], [zip_derived_cl41807, zip_derived_cl42])).
% 169.54/24.74 thf(zip_derived_cl41817, plain, ($false),
% 169.54/24.74 inference('simplify', [status(thm)], [zip_derived_cl41816])).
% 169.54/24.74
% 169.54/24.74 % SZS output end Refutation
% 169.54/24.74
% 169.54/24.74
% 169.54/24.74 % Terminating...
% 169.79/24.81 % Runner terminated.
% 169.79/24.82 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------