%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET721+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.cQP1xS0ZSk true
% Computer : n005.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 53.14s 8.21s
% Output : Refutation 53.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : SET721+4 : TPTP v9.2.0. Bugfixed v2.2.1.
% 0.11/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.cQP1xS0ZSk true
% 0.12/0.36 % Computer : n005.cluster.edu
% 0.12/0.36 % Model : x86_64 x86_64
% 0.12/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.36 % Memory : 8042.1875MB
% 0.12/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.36 % CPULimit : 300
% 0.12/0.36 % WCLimit : 300
% 0.12/0.36 % DateTime : Wed Oct 1 13:22:53 EDT 2025
% 0.12/0.36 % CPUTime :
% 0.12/0.36 % Running portfolio for 300 s
% 0.12/0.36 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.36 % Number of cores: 8
% 0.12/0.36 % Python version: Python 3.6.8
% 0.12/0.36 % Running in FO mode
% 0.50/0.61 % Total configuration time : 435
% 0.50/0.61 % Estimated wc time : 1092
% 0.50/0.61 % Estimated cpu time (7 cpus) : 156.0
% 0.51/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.51/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.51/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.51/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.51/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.51/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.51/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 53.14/8.21 % Solved by fo/fo4.sh.
% 53.14/8.21 % done 1163 iterations in 7.451s
% 53.14/8.21 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 53.14/8.21 % SZS output start Refutation
% 53.14/8.21 thf(member_type, type, member: $i > $i > $o).
% 53.14/8.21 thf(compose_function_type, type, compose_function: $i > $i > $i > $i > $i > $i).
% 53.14/8.21 thf(maps_type, type, maps: $i > $i > $i > $o).
% 53.14/8.21 thf(sk__13_type, type, sk__13: $i).
% 53.14/8.21 thf(sk__6_type, type, sk__6: $i > $i > $i > $i).
% 53.14/8.21 thf(sk__9_type, type, sk__9: $i).
% 53.14/8.21 thf(sk__7_type, type, sk__7: $i > $i > $i > $i).
% 53.14/8.21 thf(sk__12_type, type, sk__12: $i).
% 53.14/8.21 thf(sk__type, type, sk_: $i > $i > $i > $i).
% 53.14/8.21 thf(sk__11_type, type, sk__11: $i).
% 53.14/8.21 thf(sk__10_type, type, sk__10: $i).
% 53.14/8.21 thf(injective_type, type, injective: $i > $i > $i > $o).
% 53.14/8.21 thf(apply_type, type, apply: $i > $i > $i > $o).
% 53.14/8.21 thf(zip_tseitin_0_type, type, zip_tseitin_0: $i > $i > $i > $i > $i > $o).
% 53.14/8.21 thf(zip_tseitin_2_type, type, zip_tseitin_2: $i > $i > $i > $i > $o).
% 53.14/8.21 thf(sk__8_type, type, sk__8: $i > $i > $i > $i).
% 53.14/8.21 thf(zip_tseitin_1_type, type, zip_tseitin_1: $i > $i > $i > $i > $o).
% 53.14/8.21 thf(maps, axiom,
% 53.14/8.21 (![F:$i,A:$i,B:$i]:
% 53.14/8.21 ( ( maps @ F @ A @ B ) <=>
% 53.14/8.21 ( ( ![X:$i,Y1:$i,Y2:$i]:
% 53.14/8.21 ( ( ( member @ Y2 @ B ) & ( member @ Y1 @ B ) & ( member @ X @ A ) ) =>
% 53.14/8.21 ( ( ( apply @ F @ X @ Y2 ) & ( apply @ F @ X @ Y1 ) ) =>
% 53.14/8.21 ( ( Y1 ) = ( Y2 ) ) ) ) ) &
% 53.14/8.21 ( ![X:$i]:
% 53.14/8.21 ( ( member @ X @ A ) =>
% 53.14/8.21 ( ?[Y:$i]: ( ( member @ Y @ B ) & ( apply @ F @ X @ Y ) ) ) ) ) ) ))).
% 53.14/8.21 thf(zf_stmt_0, type, zip_tseitin_2 : $i > $i > $i > $i > $o).
% 53.14/8.21 thf(zf_stmt_1, axiom,
% 53.14/8.21 (![X:$i,B:$i,A:$i,F:$i]:
% 53.14/8.21 ( ( zip_tseitin_2 @ X @ B @ A @ F ) <=>
% 53.14/8.21 ( ( member @ X @ A ) =>
% 53.14/8.21 ( ?[Y:$i]: ( ( apply @ F @ X @ Y ) & ( member @ Y @ B ) ) ) ) ))).
% 53.14/8.21 thf(zf_stmt_2, type, zip_tseitin_1 : $i > $i > $i > $i > $o).
% 53.14/8.21 thf(zf_stmt_3, axiom,
% 53.14/8.21 (![Y2:$i,Y1:$i,X:$i,F:$i]:
% 53.14/8.21 ( ( zip_tseitin_1 @ Y2 @ Y1 @ X @ F ) <=>
% 53.14/8.21 ( ( ( apply @ F @ X @ Y1 ) & ( apply @ F @ X @ Y2 ) ) =>
% 53.14/8.21 ( ( Y1 ) = ( Y2 ) ) ) ))).
% 53.14/8.21 thf(zf_stmt_4, type, zip_tseitin_0 : $i > $i > $i > $i > $i > $o).
% 53.14/8.21 thf(zf_stmt_5, axiom,
% 53.14/8.21 (![Y2:$i,Y1:$i,X:$i,B:$i,A:$i]:
% 53.14/8.21 ( ( zip_tseitin_0 @ Y2 @ Y1 @ X @ B @ A ) <=>
% 53.14/8.21 ( ( member @ X @ A ) & ( member @ Y1 @ B ) & ( member @ Y2 @ B ) ) ))).
% 53.14/8.21 thf(zf_stmt_6, axiom,
% 53.14/8.21 (![F:$i,A:$i,B:$i]:
% 53.14/8.21 ( ( maps @ F @ A @ B ) <=>
% 53.14/8.21 ( ( ![X:$i]: ( zip_tseitin_2 @ X @ B @ A @ F ) ) &
% 53.14/8.21 ( ![X:$i,Y1:$i,Y2:$i]:
% 53.14/8.21 ( ( zip_tseitin_0 @ Y2 @ Y1 @ X @ B @ A ) =>
% 53.14/8.21 ( zip_tseitin_1 @ Y2 @ Y1 @ X @ F ) ) ) ) ))).
% 53.14/8.21 thf(zip_derived_cl12, plain,
% 53.14/8.21 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 53.14/8.21 ( (zip_tseitin_2 @ X0 @ X1 @ X2 @ X3) | ~ (maps @ X3 @ X2 @ X1))),
% 53.14/8.21 inference('cnf', [status(esa)], [zf_stmt_6])).
% 53.14/8.21 thf(thII12, conjecture,
% 53.14/8.21 (![F:$i,G:$i,A:$i,B:$i,C:$i]:
% 53.14/8.21 ( ( ( maps @ F @ A @ B ) & ( maps @ G @ B @ C ) &
% 53.14/8.21 ( injective @ ( compose_function @ G @ F @ A @ B @ C ) @ A @ C ) ) =>
% 53.14/8.21 ( injective @ F @ A @ B ) ))).
% 53.14/8.21 thf(zf_stmt_7, negated_conjecture,
% 53.14/8.21 (~( ![F:$i,G:$i,A:$i,B:$i,C:$i]:
% 53.14/8.21 ( ( ( maps @ F @ A @ B ) & ( maps @ G @ B @ C ) &
% 53.14/8.21 ( injective @ ( compose_function @ G @ F @ A @ B @ C ) @ A @ C ) ) =>
% 53.14/8.21 ( injective @ F @ A @ B ) ) )),
% 53.14/8.21 inference('cnf.neg', [status(esa)], [thII12])).
% 53.14/8.21 thf(zip_derived_cl31, plain, ( (maps @ sk__10 @ sk__12 @ sk__13)),
% 53.14/8.21 inference('cnf', [status(esa)], [zf_stmt_7])).
% 53.14/8.21 thf(zip_derived_cl40, plain,
% 53.14/8.21 (![X0 : $i]: (zip_tseitin_2 @ X0 @ sk__13 @ sk__12 @ sk__10)),
% 53.14/8.21 inference('sup+', [status(thm)], [zip_derived_cl12, zip_derived_cl31])).
% 53.14/8.21 thf(zip_derived_cl8, plain,
% 53.14/8.21 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 53.14/8.21 (~ (member @ X0 @ X1)
% 53.14/8.21 | (member @ (sk_ @ X2 @ X3 @ X0) @ X3)
% 53.14/8.21 | ~ (zip_tseitin_2 @ X0 @ X3 @ X1 @ X2))),
% 53.14/8.21 inference('cnf', [status(esa)], [zf_stmt_1])).
% 53.14/8.21 thf(zip_derived_cl49, plain,
% 53.14/8.21 (![X0 : $i]:
% 53.14/8.21 ( (member @ (sk_ @ sk__10 @ sk__13 @ X0) @ sk__13)
% 53.14/8.21 | ~ (member @ X0 @ sk__12))),
% 53.14/8.21 inference('sup-', [status(thm)], [zip_derived_cl40, zip_derived_cl8])).
% 53.14/8.21 thf(zip_derived_cl40, plain,
% 53.14/8.21 (![X0 : $i]: (zip_tseitin_2 @ X0 @ sk__13 @ sk__12 @ sk__10)),
% 53.14/8.21 inference('sup+', [status(thm)], [zip_derived_cl12, zip_derived_cl31])).
% 53.14/8.21 thf(zip_derived_cl9, plain,
% 53.14/8.21 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 53.14/8.21 (~ (member @ X0 @ X1)
% 53.14/8.21 | (apply @ X2 @ X0 @ (sk_ @ X2 @ X3 @ X0))
% 53.14/8.21 | ~ (zip_tseitin_2 @ X0 @ X3 @ X1 @ X2))),
% 53.14/8.21 inference('cnf', [status(esa)], [zf_stmt_1])).
% 53.14/8.21 thf(zip_derived_cl56, plain,
% 53.14/8.21 (![X0 : $i]:
% 53.14/8.21 ( (apply @ sk__10 @ X0 @ (sk_ @ sk__10 @ sk__13 @ X0))
% 53.14/8.21 | ~ (member @ X0 @ sk__12))),
% 53.14/8.21 inference('sup-', [status(thm)], [zip_derived_cl40, zip_derived_cl9])).
% 53.14/8.21 thf(injective, axiom,
% 53.14/8.21 (![F:$i,A:$i,B:$i]:
% 53.14/8.21 ( ( injective @ F @ A @ B ) <=>
% 53.14/8.21 ( ![X1:$i,X2:$i,Y:$i]:
% 53.14/8.21 ( ( ( member @ X1 @ A ) & ( member @ X2 @ A ) & ( member @ Y @ B ) ) =>
% 53.14/8.21 ( ( ( apply @ F @ X1 @ Y ) & ( apply @ F @ X2 @ Y ) ) =>
% 53.14/8.21 ( ( X1 ) = ( X2 ) ) ) ) ) ))).
% 53.14/8.21 thf(zip_derived_cl22, plain,
% 53.14/8.21 (![X0 : $i, X1 : $i, X2 : $i]:
% 53.14/8.21 ( (injective @ X0 @ X1 @ X2) | (member @ (sk__7 @ X2 @ X1 @ X0) @ X1))),
% 53.14/8.21 inference('cnf', [status(esa)], [injective])).
% 53.14/8.21 thf(zip_derived_cl22, plain,
% 53.14/8.21 (![X0 : $i, X1 : $i, X2 : $i]:
% 53.14/8.21 ( (injective @ X0 @ X1 @ X2) | (member @ (sk__7 @ X2 @ X1 @ X0) @ X1))),
% 53.14/8.21 inference('cnf', [status(esa)], [injective])).
% 53.14/8.21 thf(zip_derived_cl24, plain,
% 53.14/8.21 (![X0 : $i, X1 : $i, X2 : $i]:
% 53.14/8.21 ( (injective @ X0 @ X1 @ X2) | (member @ (sk__8 @ X2 @ X1 @ X0) @ X2))),
% 53.14/8.21 inference('cnf', [status(esa)], [injective])).
% 53.14/8.21 thf(zip_derived_cl25, plain,
% 53.14/8.21 (![X0 : $i, X1 : $i, X2 : $i]:
% 53.14/8.21 ( (injective @ X0 @ X1 @ X2)
% 53.14/8.21 | (apply @ X0 @ (sk__7 @ X2 @ X1 @ X0) @ (sk__8 @ X2 @ X1 @ X0)))),
% 53.14/8.21 inference('cnf', [status(esa)], [injective])).
% 53.14/8.21 thf(zip_derived_cl12, plain,
% 53.14/8.21 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 53.14/8.21 ( (zip_tseitin_2 @ X0 @ X1 @ X2 @ X3) | ~ (maps @ X3 @ X2 @ X1))),
% 53.14/8.21 inference('cnf', [status(esa)], [zf_stmt_6])).
% 53.14/8.21 thf(zip_derived_cl32, plain, ( (maps @ sk__9 @ sk__11 @ sk__12)),
% 53.14/8.21 inference('cnf', [status(esa)], [zf_stmt_7])).
% 53.14/8.21 thf(zip_derived_cl39, plain,
% 53.14/8.21 (![X0 : $i]: (zip_tseitin_2 @ X0 @ sk__12 @ sk__11 @ sk__9)),
% 53.14/8.21 inference('sup+', [status(thm)], [zip_derived_cl12, zip_derived_cl32])).
% 53.14/8.21 thf(zip_derived_cl9, plain,
% 53.14/8.21 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 53.14/8.21 (~ (member @ X0 @ X1)
% 53.14/8.21 | (apply @ X2 @ X0 @ (sk_ @ X2 @ X3 @ X0))
% 53.14/8.21 | ~ (zip_tseitin_2 @ X0 @ X3 @ X1 @ X2))),
% 53.14/8.21 inference('cnf', [status(esa)], [zf_stmt_1])).
% 53.14/8.21 thf(zip_derived_cl55, plain,
% 53.14/8.21 (![X0 : $i]:
% 53.14/8.21 ( (apply @ sk__9 @ X0 @ (sk_ @ sk__9 @ sk__12 @ X0))
% 53.14/8.21 | ~ (member @ X0 @ sk__11))),
% 53.14/8.21 inference('sup-', [status(thm)], [zip_derived_cl39, zip_derived_cl9])).
% 53.14/8.21 thf(zip_derived_cl32, plain, ( (maps @ sk__9 @ sk__11 @ sk__12)),
% 53.14/8.21 inference('cnf', [status(esa)], [zf_stmt_7])).
% 53.14/8.21 thf(zip_derived_cl3, plain,
% 53.14/8.21 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 53.14/8.21 ( (zip_tseitin_0 @ X0 @ X1 @ X2 @ X3 @ X4)
% 53.14/8.21 | ~ (member @ X0 @ X3)
% 53.14/8.21 | ~ (member @ X1 @ X3)
% 53.14/8.21 | ~ (member @ X2 @ X4))),
% 53.14/8.21 inference('cnf', [status(esa)], [zf_stmt_5])).
% 53.14/8.21 thf(zip_derived_cl13, plain,
% 53.14/8.21 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 53.14/8.21 (~ (zip_tseitin_0 @ X0 @ X1 @ X2 @ X3 @ X4)
% 53.14/8.21 | (zip_tseitin_1 @ X0 @ X1 @ X2 @ X5)
% 53.14/8.21 | ~ (maps @ X5 @ X4 @ X3))),
% 53.14/8.21 inference('cnf', [status(esa)], [zf_stmt_6])).
% 53.14/8.21 thf(zip_derived_cl52, plain,
% 53.14/8.21 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 53.14/8.21 (~ (member @ X2 @ X0)
% 53.14/8.21 | ~ (member @ X3 @ X1)
% 53.14/8.21 | ~ (member @ X4 @ X1)
% 53.14/8.21 | ~ (maps @ X5 @ X0 @ X1)
% 53.14/8.21 | (zip_tseitin_1 @ X4 @ X3 @ X2 @ X5))),
% 53.14/8.21 inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl13])).
% 53.14/8.21 thf(zip_derived_cl71, plain,
% 53.14/8.21 (![X0 : $i, X1 : $i, X2 : $i]:
% 53.14/8.21 ( (zip_tseitin_1 @ X2 @ X1 @ X0 @ sk__9)
% 53.14/8.21 | ~ (member @ X2 @ sk__12)
% 53.14/8.21 | ~ (member @ X1 @ sk__12)
% 53.14/8.21 | ~ (member @ X0 @ sk__11))),
% 53.14/8.21 inference('sup-', [status(thm)], [zip_derived_cl32, zip_derived_cl52])).
% 53.14/8.21 thf(zip_derived_cl4, plain,
% 53.14/8.21 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 53.14/8.21 (~ (apply @ X0 @ X1 @ X2)
% 53.14/8.21 | ~ (apply @ X0 @ X1 @ X3)
% 53.14/8.21 | ((X2) = (X3))
% 53.14/8.21 | ~ (zip_tseitin_1 @ X3 @ X2 @ X1 @ X0))),
% 53.14/8.21 inference('cnf', [status(esa)], [zf_stmt_3])).
% 53.14/8.21 thf(zip_derived_cl73, plain,
% 53.14/8.21 (![X0 : $i, X1 : $i, X2 : $i]:
% 53.14/8.21 (~ (member @ X0 @ sk__11)
% 53.14/8.21 | ~ (member @ X1 @ sk__12)
% 53.14/8.21 | ~ (member @ X2 @ sk__12)
% 53.14/8.21 | ((X1) = (X2))
% 53.14/8.21 | ~ (apply @ sk__9 @ X0 @ X2)
% 53.14/8.21 | ~ (apply @ sk__9 @ X0 @ X1))),
% 53.14/8.21 inference('sup-', [status(thm)], [zip_derived_cl71, zip_derived_cl4])).
% 53.14/8.21 thf(zip_derived_cl80, plain,
% 53.14/8.21 (![X0 : $i, X1 : $i]:
% 53.14/8.21 (~ (member @ X0 @ sk__11)
% 53.14/8.21 | ~ (apply @ sk__9 @ X0 @ X1)
% 53.14/8.21 | ((X1) = (sk_ @ sk__9 @ sk__12 @ X0))
% 53.14/8.21 | ~ (member @ (sk_ @ sk__9 @ sk__12 @ X0) @ sk__12)
% 53.14/8.21 | ~ (member @ X1 @ sk__12)
% 53.14/8.21 | ~ (member @ X0 @ sk__11))),
% 53.14/8.21 inference('sup-', [status(thm)], [zip_derived_cl55, zip_derived_cl73])).
% 53.14/8.21 thf(zip_derived_cl83, plain,
% 53.14/8.21 (![X0 : $i, X1 : $i]:
% 53.14/8.21 (~ (member @ X1 @ sk__12)
% 53.14/8.21 | ~ (member @ (sk_ @ sk__9 @ sk__12 @ X0) @ sk__12)
% 53.14/8.21 | ((X1) = (sk_ @ sk__9 @ sk__12 @ X0))
% 53.14/8.21 | ~ (apply @ sk__9 @ X0 @ X1)
% 53.14/8.21 | ~ (member @ X0 @ sk__11))),
% 53.14/8.21 inference('simplify', [status(thm)], [zip_derived_cl80])).
% 53.14/8.21 thf(zip_derived_cl39, plain,
% 53.14/8.21 (![X0 : $i]: (zip_tseitin_2 @ X0 @ sk__12 @ sk__11 @ sk__9)),
% 53.14/8.21 inference('sup+', [status(thm)], [zip_derived_cl12, zip_derived_cl32])).
% 53.14/8.21 thf(zip_derived_cl8, plain,
% 53.14/8.21 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 53.14/8.21 (~ (member @ X0 @ X1)
% 53.14/8.21 | (member @ (sk_ @ X2 @ X3 @ X0) @ X3)
% 53.14/8.21 | ~ (zip_tseitin_2 @ X0 @ X3 @ X1 @ X2))),
% 53.14/8.21 inference('cnf', [status(esa)], [zf_stmt_1])).
% 53.14/8.21 thf(zip_derived_cl48, plain,
% 53.14/8.21 (![X0 : $i]:
% 53.14/8.21 ( (member @ (sk_ @ sk__9 @ sk__12 @ X0) @ sk__12)
% 53.14/8.21 | ~ (member @ X0 @ sk__11))),
% 53.14/8.21 inference('sup-', [status(thm)], [zip_derived_cl39, zip_derived_cl8])).
% 53.14/8.21 thf(zip_derived_cl179, plain,
% 53.14/8.21 (![X0 : $i, X1 : $i]:
% 53.14/8.21 (~ (member @ X0 @ sk__11)
% 53.14/8.21 | ~ (apply @ sk__9 @ X0 @ X1)
% 53.14/8.21 | ((X1) = (sk_ @ sk__9 @ sk__12 @ X0))
% 53.14/8.21 | ~ (member @ X1 @ sk__12))),
% 53.14/8.21 inference('clc', [status(thm)], [zip_derived_cl83, zip_derived_cl48])).
% 53.14/8.21 thf(zip_derived_cl286, plain,
% 53.14/8.21 (![X0 : $i, X1 : $i]:
% 53.14/8.21 ( (injective @ sk__9 @ X0 @ X1)
% 53.14/8.21 | ~ (member @ (sk__8 @ X1 @ X0 @ sk__9) @ sk__12)
% 53.14/8.21 | ((sk__8 @ X1 @ X0 @ sk__9)
% 53.14/8.21 = (sk_ @ sk__9 @ sk__12 @ (sk__7 @ X1 @ X0 @ sk__9)))
% 53.14/8.21 | ~ (member @ (sk__7 @ X1 @ X0 @ sk__9) @ sk__11))),
% 53.14/8.21 inference('sup-', [status(thm)], [zip_derived_cl25, zip_derived_cl179])).
% 53.14/8.21 thf(zip_derived_cl1685, plain,
% 53.14/8.21 (![X0 : $i]:
% 53.14/8.21 ( (injective @ sk__9 @ X0 @ sk__12)
% 53.14/8.21 | ~ (member @ (sk__7 @ sk__12 @ X0 @ sk__9) @ sk__11)
% 53.14/8.21 | ((sk__8 @ sk__12 @ X0 @ sk__9)
% 53.14/8.21 = (sk_ @ sk__9 @ sk__12 @ (sk__7 @ sk__12 @ X0 @ sk__9)))
% 53.14/8.21 | (injective @ sk__9 @ X0 @ sk__12))),
% 53.14/8.21 inference('sup-', [status(thm)], [zip_derived_cl24, zip_derived_cl286])).
% 53.14/8.21 thf(zip_derived_cl1688, plain,
% 53.14/8.21 (![X0 : $i]:
% 53.14/8.21 (((sk__8 @ sk__12 @ X0 @ sk__9)
% 53.14/8.21 = (sk_ @ sk__9 @ sk__12 @ (sk__7 @ sk__12 @ X0 @ sk__9)))
% 53.14/8.21 | ~ (member @ (sk__7 @ sk__12 @ X0 @ sk__9) @ sk__11)
% 53.14/8.21 | (injective @ sk__9 @ X0 @ sk__12))),
% 53.14/8.21 inference('simplify', [status(thm)], [zip_derived_cl1685])).
% 53.14/8.21 thf(zip_derived_cl1845, plain,
% 53.14/8.21 (( (injective @ sk__9 @ sk__11 @ sk__12)
% 53.14/8.21 | (injective @ sk__9 @ sk__11 @ sk__12)
% 53.14/8.21 | ((sk__8 @ sk__12 @ sk__11 @ sk__9)
% 53.14/8.21 = (sk_ @ sk__9 @ sk__12 @ (sk__7 @ sk__12 @ sk__11 @ sk__9))))),
% 53.14/8.21 inference('sup-', [status(thm)], [zip_derived_cl22, zip_derived_cl1688])).
% 53.14/8.21 thf(zip_derived_cl33, plain, (~ (injective @ sk__9 @ sk__11 @ sk__12)),
% 53.14/8.21 inference('cnf', [status(esa)], [zf_stmt_7])).
% 53.14/8.21 thf(zip_derived_cl33, plain, (~ (injective @ sk__9 @ sk__11 @ sk__12)),
% 53.14/8.21 inference('cnf', [status(esa)], [zf_stmt_7])).
% 53.14/8.21 thf(zip_derived_cl1848, plain,
% 53.14/8.21 (((sk__8 @ sk__12 @ sk__11 @ sk__9)
% 53.14/8.21 = (sk_ @ sk__9 @ sk__12 @ (sk__7 @ sk__12 @ sk__11 @ sk__9)))),
% 53.14/8.21 inference('demod', [status(thm)],
% 53.14/8.21 [zip_derived_cl1845, zip_derived_cl33, zip_derived_cl33])).
% 53.14/8.21 thf(zip_derived_cl23, plain,
% 53.14/8.21 (![X0 : $i, X1 : $i, X2 : $i]:
% 53.14/8.21 ( (injective @ X0 @ X1 @ X2) | (member @ (sk__6 @ X2 @ X1 @ X0) @ X1))),
% 53.14/8.21 inference('cnf', [status(esa)], [injective])).
% 53.14/8.21 thf(zip_derived_cl23, plain,
% 53.14/8.21 (![X0 : $i, X1 : $i, X2 : $i]:
% 53.14/8.21 ( (injective @ X0 @ X1 @ X2) | (member @ (sk__6 @ X2 @ X1 @ X0) @ X1))),
% 53.14/8.21 inference('cnf', [status(esa)], [injective])).
% 53.14/8.21 thf(zip_derived_cl24, plain,
% 53.14/8.21 (![X0 : $i, X1 : $i, X2 : $i]:
% 53.14/8.21 ( (injective @ X0 @ X1 @ X2) | (member @ (sk__8 @ X2 @ X1 @ X0) @ X2))),
% 53.14/8.21 inference('cnf', [status(esa)], [injective])).
% 53.14/8.21 thf(zip_derived_cl26, plain,
% 53.14/8.21 (![X0 : $i, X1 : $i, X2 : $i]:
% 53.14/8.21 ( (injective @ X0 @ X1 @ X2)
% 53.14/8.21 | (apply @ X0 @ (sk__6 @ X2 @ X1 @ X0) @ (sk__8 @ X2 @ X1 @ X0)))),
% 53.14/8.21 inference('cnf', [status(esa)], [injective])).
% 53.14/8.21 thf(zip_derived_cl179, plain,
% 53.14/8.21 (![X0 : $i, X1 : $i]:
% 53.14/8.21 (~ (member @ X0 @ sk__11)
% 53.14/8.21 | ~ (apply @ sk__9 @ X0 @ X1)
% 53.14/8.21 | ((X1) = (sk_ @ sk__9 @ sk__12 @ X0))
% 53.14/8.21 | ~ (member @ X1 @ sk__12))),
% 53.14/8.21 inference('clc', [status(thm)], [zip_derived_cl83, zip_derived_cl48])).
% 53.14/8.21 thf(zip_derived_cl300, plain,
% 53.14/8.21 (![X0 : $i, X1 : $i]:
% 53.14/8.21 ( (injective @ sk__9 @ X0 @ X1)
% 53.14/8.21 | ~ (member @ (sk__8 @ X1 @ X0 @ sk__9) @ sk__12)
% 53.14/8.21 | ((sk__8 @ X1 @ X0 @ sk__9)
% 53.14/8.21 = (sk_ @ sk__9 @ sk__12 @ (sk__6 @ X1 @ X0 @ sk__9)))
% 53.14/8.21 | ~ (member @ (sk__6 @ X1 @ X0 @ sk__9) @ sk__11))),
% 53.14/8.21 inference('sup-', [status(thm)], [zip_derived_cl26, zip_derived_cl179])).
% 53.14/8.21 thf(zip_derived_cl2618, plain,
% 53.14/8.21 (![X0 : $i]:
% 53.14/8.21 ( (injective @ sk__9 @ X0 @ sk__12)
% 53.14/8.21 | ~ (member @ (sk__6 @ sk__12 @ X0 @ sk__9) @ sk__11)
% 53.14/8.21 | ((sk__8 @ sk__12 @ X0 @ sk__9)
% 53.14/8.21 = (sk_ @ sk__9 @ sk__12 @ (sk__6 @ sk__12 @ X0 @ sk__9)))
% 53.14/8.21 | (injective @ sk__9 @ X0 @ sk__12))),
% 53.14/8.21 inference('sup-', [status(thm)], [zip_derived_cl24, zip_derived_cl300])).
% 53.14/8.21 thf(zip_derived_cl2622, plain,
% 53.14/8.21 (![X0 : $i]:
% 53.14/8.21 (((sk__8 @ sk__12 @ X0 @ sk__9)
% 53.14/8.21 = (sk_ @ sk__9 @ sk__12 @ (sk__6 @ sk__12 @ X0 @ sk__9)))
% 53.14/8.21 | ~ (member @ (sk__6 @ sk__12 @ X0 @ sk__9) @ sk__11)
% 53.14/8.21 | (injective @ sk__9 @ X0 @ sk__12))),
% 53.14/8.21 inference('simplify', [status(thm)], [zip_derived_cl2618])).
% 53.14/8.21 thf(zip_derived_cl3109, plain,
% 53.14/8.21 (( (injective @ sk__9 @ sk__11 @ sk__12)
% 53.14/8.21 | (injective @ sk__9 @ sk__11 @ sk__12)
% 53.14/8.21 | ((sk__8 @ sk__12 @ sk__11 @ sk__9)
% 53.14/8.21 = (sk_ @ sk__9 @ sk__12 @ (sk__6 @ sk__12 @ sk__11 @ sk__9))))),
% 53.14/8.21 inference('sup-', [status(thm)], [zip_derived_cl23, zip_derived_cl2622])).
% 53.14/8.21 thf(zip_derived_cl33, plain, (~ (injective @ sk__9 @ sk__11 @ sk__12)),
% 53.14/8.21 inference('cnf', [status(esa)], [zf_stmt_7])).
% 53.14/8.21 thf(zip_derived_cl33, plain, (~ (injective @ sk__9 @ sk__11 @ sk__12)),
% 53.14/8.21 inference('cnf', [status(esa)], [zf_stmt_7])).
% 53.14/8.21 thf(zip_derived_cl3112, plain,
% 53.14/8.21 (((sk__8 @ sk__12 @ sk__11 @ sk__9)
% 53.14/8.21 = (sk_ @ sk__9 @ sk__12 @ (sk__6 @ sk__12 @ sk__11 @ sk__9)))),
% 53.14/8.21 inference('demod', [status(thm)],
% 53.14/8.21 [zip_derived_cl3109, zip_derived_cl33, zip_derived_cl33])).
% 53.14/8.21 thf(zip_derived_cl48, plain,
% 53.14/8.21 (![X0 : $i]:
% 53.14/8.21 ( (member @ (sk_ @ sk__9 @ sk__12 @ X0) @ sk__12)
% 53.14/8.21 | ~ (member @ X0 @ sk__11))),
% 53.14/8.21 inference('sup-', [status(thm)], [zip_derived_cl39, zip_derived_cl8])).
% 53.14/8.21 thf(zip_derived_cl55, plain,
% 53.14/8.21 (![X0 : $i]:
% 53.14/8.21 ( (apply @ sk__9 @ X0 @ (sk_ @ sk__9 @ sk__12 @ X0))
% 53.14/8.21 | ~ (member @ X0 @ sk__11))),
% 53.14/8.21 inference('sup-', [status(thm)], [zip_derived_cl39, zip_derived_cl9])).
% 53.14/8.21 thf(compose_function, axiom,
% 53.14/8.21 (![G:$i,F:$i,A:$i,B:$i,C:$i,X:$i,Z:$i]:
% 53.14/8.21 ( ( ( member @ X @ A ) & ( member @ Z @ C ) ) =>
% 53.14/8.21 ( ( apply @ ( compose_function @ G @ F @ A @ B @ C ) @ X @ Z ) <=>
% 53.14/8.21 ( ?[Y:$i]:
% 53.14/8.21 ( ( apply @ G @ Y @ Z ) & ( apply @ F @ X @ Y ) & ( member @ Y @ B ) ) ) ) ))).
% 53.14/8.21 thf(zip_derived_cl19, plain,
% 53.14/8.21 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 53.14/8.21 (~ (member @ X0 @ X1)
% 53.14/8.21 | ~ (member @ X2 @ X3)
% 53.14/8.21 | (apply @ (compose_function @ X4 @ X5 @ X1 @ X6 @ X3) @ X0 @ X2)
% 53.14/8.21 | ~ (member @ X7 @ X6)
% 53.14/8.21 | ~ (apply @ X5 @ X0 @ X7)
% 53.14/8.21 | ~ (apply @ X4 @ X7 @ X2))),
% 53.14/8.21 inference('cnf', [status(esa)], [compose_function])).
% 53.14/8.21 thf(zip_derived_cl417, plain,
% 53.14/8.21 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 53.14/8.21 (~ (member @ X0 @ sk__11)
% 53.14/8.21 | ~ (apply @ X2 @ (sk_ @ sk__9 @ sk__12 @ X0) @ X1)
% 53.14/8.21 | ~ (member @ (sk_ @ sk__9 @ sk__12 @ X0) @ X3)
% 53.14/8.21 | (apply @ (compose_function @ X2 @ sk__9 @ X5 @ X3 @ X4) @ X0 @ X1)
% 53.14/8.21 | ~ (member @ X1 @ X4)
% 53.14/8.21 | ~ (member @ X0 @ X5))),
% 53.14/8.21 inference('sup-', [status(thm)], [zip_derived_cl55, zip_derived_cl19])).
% 53.14/8.21 thf(zip_derived_cl6514, plain,
% 53.14/8.21 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 53.14/8.21 (~ (member @ X0 @ sk__11)
% 53.14/8.21 | ~ (member @ X0 @ X1)
% 53.14/8.21 | ~ (member @ X3 @ X2)
% 53.14/8.21 | (apply @ (compose_function @ X4 @ sk__9 @ X1 @ sk__12 @ X2) @
% 53.14/8.21 X0 @ X3)
% 53.14/8.21 | ~ (apply @ X4 @ (sk_ @ sk__9 @ sk__12 @ X0) @ X3)
% 53.14/8.21 | ~ (member @ X0 @ sk__11))),
% 53.14/8.21 inference('sup-', [status(thm)], [zip_derived_cl48, zip_derived_cl417])).
% 53.14/8.21 thf(zip_derived_cl6528, plain,
% 53.14/8.21 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 53.14/8.21 (~ (apply @ X4 @ (sk_ @ sk__9 @ sk__12 @ X0) @ X3)
% 53.14/8.21 | (apply @ (compose_function @ X4 @ sk__9 @ X1 @ sk__12 @ X2) @
% 53.14/8.21 X0 @ X3)
% 53.14/8.21 | ~ (member @ X3 @ X2)
% 53.14/8.21 | ~ (member @ X0 @ X1)
% 53.14/8.21 | ~ (member @ X0 @ sk__11))),
% 53.14/8.21 inference('simplify', [status(thm)], [zip_derived_cl6514])).
% 53.14/8.21 thf(zip_derived_cl30, plain,
% 53.14/8.21 ( (injective @
% 53.14/8.21 (compose_function @ sk__10 @ sk__9 @ sk__11 @ sk__12 @ sk__13) @
% 53.14/8.21 sk__11 @ sk__13)),
% 53.14/8.21 inference('cnf', [status(esa)], [zf_stmt_7])).
% 53.14/8.21 thf(zip_derived_cl6528, plain,
% 53.14/8.21 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 53.14/8.21 (~ (apply @ X4 @ (sk_ @ sk__9 @ sk__12 @ X0) @ X3)
% 53.14/8.21 | (apply @ (compose_function @ X4 @ sk__9 @ X1 @ sk__12 @ X2) @
% 53.14/8.21 X0 @ X3)
% 53.14/8.21 | ~ (member @ X3 @ X2)
% 53.14/8.21 | ~ (member @ X0 @ X1)
% 53.14/8.21 | ~ (member @ X0 @ sk__11))),
% 53.14/8.21 inference('simplify', [status(thm)], [zip_derived_cl6514])).
% 53.14/8.21 thf(zip_derived_cl20, plain,
% 53.14/8.21 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 53.14/8.21 (~ (apply @ X0 @ X1 @ X2)
% 53.14/8.21 | ~ (apply @ X0 @ X3 @ X2)
% 53.14/8.21 | ~ (member @ X2 @ X4)
% 53.14/8.21 | ~ (member @ X1 @ X5)
% 53.14/8.21 | ~ (member @ X3 @ X5)
% 53.14/8.21 | ((X1) = (X3))
% 53.14/8.21 | ~ (injective @ X0 @ X5 @ X4))),
% 53.14/8.21 inference('cnf', [status(esa)], [injective])).
% 53.14/8.21 thf(zip_derived_cl7507, plain,
% 53.14/8.21 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 53.14/8.21 (~ (member @ X1 @ sk__11)
% 53.14/8.21 | ~ (member @ X1 @ X3)
% 53.14/8.21 | ~ (member @ X0 @ X2)
% 53.14/8.21 | ~ (apply @ X4 @ (sk_ @ sk__9 @ sk__12 @ X1) @ X0)
% 53.14/8.21 | ~ (injective @
% 53.14/8.21 (compose_function @ X4 @ sk__9 @ X3 @ sk__12 @ X2) @ X6 @ X5)
% 53.14/8.21 | ((X1) = (X7))
% 53.14/8.21 | ~ (member @ X7 @ X6)
% 53.14/8.21 | ~ (member @ X1 @ X6)
% 53.14/8.21 | ~ (member @ X0 @ X5)
% 53.14/8.21 | ~ (apply @ (compose_function @ X4 @ sk__9 @ X3 @ sk__12 @ X2) @
% 53.14/8.21 X7 @ X0))),
% 53.14/8.21 inference('sup-', [status(thm)], [zip_derived_cl6528, zip_derived_cl20])).
% 53.14/8.21 thf(zip_derived_cl9815, plain,
% 53.14/8.21 (![X0 : $i, X1 : $i, X2 : $i]:
% 53.14/8.21 (~ (apply @
% 53.14/8.21 (compose_function @ sk__10 @ sk__9 @ sk__11 @ sk__12 @ sk__13) @
% 53.14/8.21 X1 @ X0)
% 53.14/8.21 | ~ (member @ X0 @ sk__13)
% 53.14/8.21 | ~ (member @ X2 @ sk__11)
% 53.14/8.21 | ~ (member @ X1 @ sk__11)
% 53.14/8.21 | ((X2) = (X1))
% 53.14/8.21 | ~ (apply @ sk__10 @ (sk_ @ sk__9 @ sk__12 @ X2) @ X0)
% 53.14/8.21 | ~ (member @ X0 @ sk__13)
% 53.14/8.21 | ~ (member @ X2 @ sk__11)
% 53.14/8.21 | ~ (member @ X2 @ sk__11))),
% 53.14/8.21 inference('sup-', [status(thm)], [zip_derived_cl30, zip_derived_cl7507])).
% 53.14/8.21 thf(zip_derived_cl9818, plain,
% 53.14/8.21 (![X0 : $i, X1 : $i, X2 : $i]:
% 53.14/8.21 (~ (apply @ sk__10 @ (sk_ @ sk__9 @ sk__12 @ X2) @ X0)
% 53.14/8.21 | ((X2) = (X1))
% 53.14/8.21 | ~ (member @ X1 @ sk__11)
% 53.14/8.21 | ~ (member @ X2 @ sk__11)
% 53.14/8.21 | ~ (member @ X0 @ sk__13)
% 53.14/8.21 | ~ (apply @
% 53.14/8.21 (compose_function @ sk__10 @ sk__9 @ sk__11 @ sk__12 @ sk__13) @
% 53.14/8.21 X1 @ X0))),
% 53.14/8.21 inference('simplify', [status(thm)], [zip_derived_cl9815])).
% 53.14/8.21 thf(zip_derived_cl9848, plain,
% 53.14/8.21 (![X0 : $i, X1 : $i, X2 : $i]:
% 53.14/8.21 (~ (member @ X1 @ sk__11)
% 53.14/8.21 | ~ (member @ X1 @ sk__11)
% 53.14/8.21 | ~ (member @ X0 @ sk__13)
% 53.14/8.21 | ~ (apply @ sk__10 @ (sk_ @ sk__9 @ sk__12 @ X1) @ X0)
% 53.14/8.21 | ~ (member @ X0 @ sk__13)
% 53.14/8.21 | ~ (member @ X2 @ sk__11)
% 53.14/8.21 | ~ (member @ X1 @ sk__11)
% 53.14/8.21 | ((X2) = (X1))
% 53.14/8.21 | ~ (apply @ sk__10 @ (sk_ @ sk__9 @ sk__12 @ X2) @ X0))),
% 53.14/8.21 inference('sup-', [status(thm)], [zip_derived_cl6528, zip_derived_cl9818])).
% 53.14/8.21 thf(zip_derived_cl9851, plain,
% 53.14/8.21 (![X0 : $i, X1 : $i, X2 : $i]:
% 53.14/8.21 (~ (apply @ sk__10 @ (sk_ @ sk__9 @ sk__12 @ X2) @ X0)
% 53.14/8.21 | ((X2) = (X1))
% 53.14/8.21 | ~ (member @ X2 @ sk__11)
% 53.14/8.21 | ~ (apply @ sk__10 @ (sk_ @ sk__9 @ sk__12 @ X1) @ X0)
% 53.14/8.21 | ~ (member @ X0 @ sk__13)
% 53.14/8.21 | ~ (member @ X1 @ sk__11))),
% 53.14/8.21 inference('simplify', [status(thm)], [zip_derived_cl9848])).
% 53.14/8.21 thf(zip_derived_cl9859, plain,
% 53.14/8.21 (![X0 : $i, X1 : $i]:
% 53.14/8.21 (~ (apply @ sk__10 @ (sk__8 @ sk__12 @ sk__11 @ sk__9) @ X0)
% 53.14/8.21 | ~ (member @ X1 @ sk__11)
% 53.14/8.21 | ~ (member @ X0 @ sk__13)
% 53.14/8.21 | ~ (apply @ sk__10 @ (sk_ @ sk__9 @ sk__12 @ X1) @ X0)
% 53.14/8.21 | ~ (member @ (sk__6 @ sk__12 @ sk__11 @ sk__9) @ sk__11)
% 53.14/8.21 | ((sk__6 @ sk__12 @ sk__11 @ sk__9) = (X1)))),
% 53.14/8.21 inference('sup-', [status(thm)], [zip_derived_cl3112, zip_derived_cl9851])).
% 53.14/8.21 thf(zip_derived_cl9876, plain,
% 53.14/8.21 (![X0 : $i, X1 : $i]:
% 53.14/8.21 ( (injective @ sk__9 @ sk__11 @ sk__12)
% 53.14/8.21 | ((sk__6 @ sk__12 @ sk__11 @ sk__9) = (X0))
% 53.14/8.21 | ~ (apply @ sk__10 @ (sk_ @ sk__9 @ sk__12 @ X0) @ X1)
% 53.14/8.21 | ~ (member @ X1 @ sk__13)
% 53.14/8.21 | ~ (member @ X0 @ sk__11)
% 53.14/8.21 | ~ (apply @ sk__10 @ (sk__8 @ sk__12 @ sk__11 @ sk__9) @ X1))),
% 53.14/8.21 inference('sup-', [status(thm)], [zip_derived_cl23, zip_derived_cl9859])).
% 53.14/8.21 thf(zip_derived_cl33, plain, (~ (injective @ sk__9 @ sk__11 @ sk__12)),
% 53.14/8.21 inference('cnf', [status(esa)], [zf_stmt_7])).
% 53.14/8.21 thf(zip_derived_cl9877, plain,
% 53.14/8.21 (![X0 : $i, X1 : $i]:
% 53.14/8.21 (((sk__6 @ sk__12 @ sk__11 @ sk__9) = (X0))
% 53.14/8.21 | ~ (apply @ sk__10 @ (sk_ @ sk__9 @ sk__12 @ X0) @ X1)
% 53.14/8.21 | ~ (member @ X1 @ sk__13)
% 53.14/8.21 | ~ (member @ X0 @ sk__11)
% 53.14/8.21 | ~ (apply @ sk__10 @ (sk__8 @ sk__12 @ sk__11 @ sk__9) @ X1))),
% 53.14/8.21 inference('demod', [status(thm)], [zip_derived_cl9876, zip_derived_cl33])).
% 53.14/8.21 thf(zip_derived_cl9885, plain,
% 53.14/8.21 (![X0 : $i]:
% 53.14/8.21 (~ (apply @ sk__10 @ (sk__8 @ sk__12 @ sk__11 @ sk__9) @ X0)
% 53.14/8.21 | ~ (apply @ sk__10 @ (sk__8 @ sk__12 @ sk__11 @ sk__9) @ X0)
% 53.14/8.21 | ~ (member @ (sk__7 @ sk__12 @ sk__11 @ sk__9) @ sk__11)
% 53.14/8.21 | ~ (member @ X0 @ sk__13)
% 53.14/8.21 | ((sk__6 @ sk__12 @ sk__11 @ sk__9)
% 53.14/8.21 = (sk__7 @ sk__12 @ sk__11 @ sk__9)))),
% 53.14/8.21 inference('sup-', [status(thm)], [zip_derived_cl1848, zip_derived_cl9877])).
% 53.14/8.21 thf(zip_derived_cl9889, plain,
% 53.14/8.21 (![X0 : $i]:
% 53.14/8.21 (((sk__6 @ sk__12 @ sk__11 @ sk__9)
% 53.14/8.21 = (sk__7 @ sk__12 @ sk__11 @ sk__9))
% 53.14/8.21 | ~ (member @ X0 @ sk__13)
% 53.14/8.21 | ~ (member @ (sk__7 @ sk__12 @ sk__11 @ sk__9) @ sk__11)
% 53.14/8.21 | ~ (apply @ sk__10 @ (sk__8 @ sk__12 @ sk__11 @ sk__9) @ X0))),
% 53.14/8.21 inference('simplify', [status(thm)], [zip_derived_cl9885])).
% 53.14/8.21 thf(zip_derived_cl9890, plain,
% 53.14/8.21 (![X0 : $i]:
% 53.14/8.21 ( (injective @ sk__9 @ sk__11 @ sk__12)
% 53.14/8.21 | ~ (apply @ sk__10 @ (sk__8 @ sk__12 @ sk__11 @ sk__9) @ X0)
% 53.14/8.21 | ~ (member @ X0 @ sk__13)
% 53.14/8.21 | ((sk__6 @ sk__12 @ sk__11 @ sk__9)
% 53.14/8.21 = (sk__7 @ sk__12 @ sk__11 @ sk__9)))),
% 53.14/8.21 inference('sup-', [status(thm)], [zip_derived_cl22, zip_derived_cl9889])).
% 53.14/8.21 thf(zip_derived_cl33, plain, (~ (injective @ sk__9 @ sk__11 @ sk__12)),
% 53.14/8.21 inference('cnf', [status(esa)], [zf_stmt_7])).
% 53.14/8.21 thf(zip_derived_cl9891, plain,
% 53.14/8.21 (![X0 : $i]:
% 53.14/8.21 (~ (apply @ sk__10 @ (sk__8 @ sk__12 @ sk__11 @ sk__9) @ X0)
% 53.14/8.21 | ~ (member @ X0 @ sk__13)
% 53.14/8.21 | ((sk__6 @ sk__12 @ sk__11 @ sk__9)
% 53.14/8.21 = (sk__7 @ sk__12 @ sk__11 @ sk__9)))),
% 53.14/8.21 inference('demod', [status(thm)], [zip_derived_cl9890, zip_derived_cl33])).
% 53.14/8.21 thf(zip_derived_cl9892, plain,
% 53.14/8.21 ((~ (member @ (sk__8 @ sk__12 @ sk__11 @ sk__9) @ sk__12)
% 53.14/8.21 | ((sk__6 @ sk__12 @ sk__11 @ sk__9)
% 53.14/8.21 = (sk__7 @ sk__12 @ sk__11 @ sk__9))
% 53.14/8.21 | ~ (member @
% 53.14/8.21 (sk_ @ sk__10 @ sk__13 @ (sk__8 @ sk__12 @ sk__11 @ sk__9)) @
% 53.14/8.21 sk__13))),
% 53.14/8.21 inference('sup-', [status(thm)], [zip_derived_cl56, zip_derived_cl9891])).
% 53.14/8.21 thf(zip_derived_cl1848, plain,
% 53.14/8.21 (((sk__8 @ sk__12 @ sk__11 @ sk__9)
% 53.14/8.21 = (sk_ @ sk__9 @ sk__12 @ (sk__7 @ sk__12 @ sk__11 @ sk__9)))),
% 53.14/8.21 inference('demod', [status(thm)],
% 53.14/8.21 [zip_derived_cl1845, zip_derived_cl33, zip_derived_cl33])).
% 53.14/8.21 thf(zip_derived_cl22, plain,
% 53.14/8.21 (![X0 : $i, X1 : $i, X2 : $i]:
% 53.14/8.21 ( (injective @ X0 @ X1 @ X2) | (member @ (sk__7 @ X2 @ X1 @ X0) @ X1))),
% 53.14/8.21 inference('cnf', [status(esa)], [injective])).
% 53.14/8.21 thf(zip_derived_cl24, plain,
% 53.14/8.21 (![X0 : $i, X1 : $i, X2 : $i]:
% 53.14/8.21 ( (injective @ X0 @ X1 @ X2) | (member @ (sk__8 @ X2 @ X1 @ X0) @ X2))),
% 53.14/8.21 inference('cnf', [status(esa)], [injective])).
% 53.14/8.21 thf(zip_derived_cl25, plain,
% 53.14/8.21 (![X0 : $i, X1 : $i, X2 : $i]:
% 53.14/8.21 ( (injective @ X0 @ X1 @ X2)
% 53.14/8.21 | (apply @ X0 @ (sk__7 @ X2 @ X1 @ X0) @ (sk__8 @ X2 @ X1 @ X0)))),
% 53.14/8.21 inference('cnf', [status(esa)], [injective])).
% 53.14/8.21 thf(zip_derived_cl10, plain,
% 53.14/8.21 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 53.14/8.21 ( (zip_tseitin_2 @ X0 @ X1 @ X2 @ X3)
% 53.14/8.21 | ~ (apply @ X3 @ X0 @ X4)
% 53.14/8.21 | ~ (member @ X4 @ X1))),
% 53.14/8.21 inference('cnf', [status(esa)], [zf_stmt_1])).
% 53.14/8.21 thf(zip_derived_cl281, plain,
% 53.14/8.21 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 53.14/8.21 ( (injective @ X0 @ X1 @ X2)
% 53.14/8.21 | ~ (member @ (sk__8 @ X2 @ X1 @ X0) @ X3)
% 53.14/8.21 | (zip_tseitin_2 @ (sk__7 @ X2 @ X1 @ X0) @ X3 @ X4 @ X0))),
% 53.14/8.21 inference('sup-', [status(thm)], [zip_derived_cl25, zip_derived_cl10])).
% 53.14/8.21 thf(zip_derived_cl290, plain,
% 53.14/8.21 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 53.14/8.21 ( (injective @ X1 @ X2 @ X0)
% 53.14/8.21 | (zip_tseitin_2 @ (sk__7 @ X0 @ X2 @ X1) @ X0 @ X3 @ X1)
% 53.14/8.21 | (injective @ X1 @ X2 @ X0))),
% 53.14/8.21 inference('sup-', [status(thm)], [zip_derived_cl24, zip_derived_cl281])).
% 53.14/8.21 thf(zip_derived_cl291, plain,
% 53.14/8.21 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 53.14/8.21 ( (zip_tseitin_2 @ (sk__7 @ X0 @ X2 @ X1) @ X0 @ X3 @ X1)
% 53.14/8.21 | (injective @ X1 @ X2 @ X0))),
% 53.14/8.21 inference('simplify', [status(thm)], [zip_derived_cl290])).
% 53.14/8.21 thf(zip_derived_cl8, plain,
% 53.14/8.21 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 53.14/8.21 (~ (member @ X0 @ X1)
% 53.14/8.21 | (member @ (sk_ @ X2 @ X3 @ X0) @ X3)
% 53.14/8.21 | ~ (zip_tseitin_2 @ X0 @ X3 @ X1 @ X2))),
% 53.14/8.21 inference('cnf', [status(esa)], [zf_stmt_1])).
% 53.14/8.21 thf(zip_derived_cl292, plain,
% 53.14/8.21 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 53.14/8.21 ( (injective @ X0 @ X3 @ X2)
% 53.14/8.21 | (member @ (sk_ @ X0 @ X2 @ (sk__7 @ X2 @ X3 @ X0)) @ X2)
% 53.14/8.21 | ~ (member @ (sk__7 @ X2 @ X3 @ X0) @ X1))),
% 53.14/8.21 inference('sup-', [status(thm)], [zip_derived_cl291, zip_derived_cl8])).
% 53.14/8.21 thf(zip_derived_cl308, plain,
% 53.14/8.21 (![X0 : $i, X1 : $i, X2 : $i]:
% 53.14/8.21 ( (injective @ X1 @ X0 @ X2)
% 53.14/8.21 | (member @ (sk_ @ X1 @ X2 @ (sk__7 @ X2 @ X0 @ X1)) @ X2)
% 53.14/8.21 | (injective @ X1 @ X0 @ X2))),
% 53.14/8.21 inference('sup-', [status(thm)], [zip_derived_cl22, zip_derived_cl292])).
% 53.14/8.21 thf(zip_derived_cl309, plain,
% 53.14/8.21 (![X0 : $i, X1 : $i, X2 : $i]:
% 53.14/8.21 ( (member @ (sk_ @ X1 @ X2 @ (sk__7 @ X2 @ X0 @ X1)) @ X2)
% 53.14/8.21 | (injective @ X1 @ X0 @ X2))),
% 53.14/8.21 inference('simplify', [status(thm)], [zip_derived_cl308])).
% 53.14/8.21 thf(zip_derived_cl1849, plain,
% 53.14/8.21 (( (member @ (sk__8 @ sk__12 @ sk__11 @ sk__9) @ sk__12)
% 53.14/8.21 | (injective @ sk__9 @ sk__11 @ sk__12))),
% 53.14/8.21 inference('sup+', [status(thm)], [zip_derived_cl1848, zip_derived_cl309])).
% 53.14/8.21 thf(zip_derived_cl33, plain, (~ (injective @ sk__9 @ sk__11 @ sk__12)),
% 53.14/8.21 inference('cnf', [status(esa)], [zf_stmt_7])).
% 53.14/8.21 thf(zip_derived_cl1875, plain,
% 53.14/8.21 ( (member @ (sk__8 @ sk__12 @ sk__11 @ sk__9) @ sk__12)),
% 53.14/8.21 inference('demod', [status(thm)], [zip_derived_cl1849, zip_derived_cl33])).
% 53.14/8.21 thf(zip_derived_cl9894, plain,
% 53.14/8.21 ((((sk__6 @ sk__12 @ sk__11 @ sk__9) = (sk__7 @ sk__12 @ sk__11 @ sk__9))
% 53.14/8.21 | ~ (member @
% 53.14/8.21 (sk_ @ sk__10 @ sk__13 @ (sk__8 @ sk__12 @ sk__11 @ sk__9)) @
% 53.14/8.21 sk__13))),
% 53.14/8.21 inference('demod', [status(thm)],
% 53.14/8.21 [zip_derived_cl9892, zip_derived_cl1875])).
% 53.14/8.21 thf(zip_derived_cl9897, plain,
% 53.14/8.21 ((~ (member @ (sk__8 @ sk__12 @ sk__11 @ sk__9) @ sk__12)
% 53.14/8.21 | ((sk__6 @ sk__12 @ sk__11 @ sk__9)
% 53.14/8.21 = (sk__7 @ sk__12 @ sk__11 @ sk__9)))),
% 53.14/8.21 inference('sup-', [status(thm)], [zip_derived_cl49, zip_derived_cl9894])).
% 53.14/8.21 thf(zip_derived_cl1875, plain,
% 53.14/8.21 ( (member @ (sk__8 @ sk__12 @ sk__11 @ sk__9) @ sk__12)),
% 53.14/8.21 inference('demod', [status(thm)], [zip_derived_cl1849, zip_derived_cl33])).
% 53.14/8.21 thf(zip_derived_cl9902, plain,
% 53.14/8.21 (((sk__6 @ sk__12 @ sk__11 @ sk__9) = (sk__7 @ sk__12 @ sk__11 @ sk__9))),
% 53.14/8.21 inference('demod', [status(thm)],
% 53.14/8.21 [zip_derived_cl9897, zip_derived_cl1875])).
% 53.14/8.21 thf(zip_derived_cl21, plain,
% 53.14/8.21 (![X0 : $i, X1 : $i, X2 : $i]:
% 53.14/8.21 ( (injective @ X0 @ X1 @ X2)
% 53.14/8.21 | ((sk__6 @ X2 @ X1 @ X0) != (sk__7 @ X2 @ X1 @ X0)))),
% 53.14/8.21 inference('cnf', [status(esa)], [injective])).
% 53.14/8.21 thf(zip_derived_cl9928, plain,
% 53.14/8.21 ((((sk__7 @ sk__12 @ sk__11 @ sk__9) != (sk__7 @ sk__12 @ sk__11 @ sk__9))
% 53.14/8.21 | (injective @ sk__9 @ sk__11 @ sk__12))),
% 53.14/8.21 inference('sup-', [status(thm)], [zip_derived_cl9902, zip_derived_cl21])).
% 53.14/8.21 thf(zip_derived_cl33, plain, (~ (injective @ sk__9 @ sk__11 @ sk__12)),
% 53.14/8.21 inference('cnf', [status(esa)], [zf_stmt_7])).
% 53.14/8.21 thf(zip_derived_cl9940, plain,
% 53.14/8.21 (((sk__7 @ sk__12 @ sk__11 @ sk__9) != (sk__7 @ sk__12 @ sk__11 @ sk__9))),
% 53.14/8.21 inference('demod', [status(thm)], [zip_derived_cl9928, zip_derived_cl33])).
% 53.14/8.21 thf(zip_derived_cl9941, plain, ($false),
% 53.14/8.21 inference('simplify', [status(thm)], [zip_derived_cl9940])).
% 53.14/8.21
% 53.14/8.21 % SZS output end Refutation
% 53.14/8.21
% 53.14/8.21
% 53.14/8.21 % Terminating...
% 53.14/8.25 % Runner terminated.
% 53.17/8.27 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------