%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET763+4 : TPTP v9.2.0. Bugfixed v2.2.1.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.JhjCK0HrEv 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 04:52:48 PM UTC 2025
% Result : Theorem 7.65s 1.69s
% Output : Refutation 7.65s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET763+4 : TPTP v9.2.0. Bugfixed v2.2.1.
% 0.03/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.JhjCK0HrEv true
% 0.13/0.34 % Computer : n017.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Oct 1 13:11:23 EDT 2025
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.56/0.64 % Total configuration time : 435
% 0.56/0.64 % Estimated wc time : 1092
% 0.56/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.58/0.75 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.58/0.75 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.58/0.76 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.58/0.77 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.58/0.79 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.58/0.79 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.58/0.80 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 7.65/1.69 % Solved by fo/fo4.sh.
% 7.65/1.69 % done 892 iterations in 0.865s
% 7.65/1.69 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 7.65/1.69 % SZS output start Refutation
% 7.65/1.69 thf(member_type, type, member: $i > $i > $o).
% 7.65/1.69 thf(sk__9_type, type, sk__9: $i).
% 7.65/1.69 thf(sk__10_type, type, sk__10: $i).
% 7.65/1.69 thf(sk__1_type, type, sk__1: $i > $i > $i > $i).
% 7.65/1.69 thf(maps_type, type, maps: $i > $i > $i > $o).
% 7.65/1.69 thf(sk__6_type, type, sk__6: $i > $i > $i > $i).
% 7.65/1.69 thf(equal_set_type, type, equal_set: $i > $i > $o).
% 7.65/1.69 thf(subset_type, type, subset: $i > $i > $o).
% 7.65/1.69 thf(image2_type, type, image2: $i > $i > $i).
% 7.65/1.69 thf(sk__type, type, sk_: $i > $i > $i).
% 7.65/1.69 thf(sk__7_type, type, sk__7: $i).
% 7.65/1.69 thf(apply_type, type, apply: $i > $i > $i > $o).
% 7.65/1.69 thf(zip_tseitin_2_type, type, zip_tseitin_2: $i > $i > $i > $i > $o).
% 7.65/1.69 thf(sk__8_type, type, sk__8: $i).
% 7.65/1.69 thf(zip_tseitin_0_type, type, zip_tseitin_0: $i > $i > $i > $i > $i > $o).
% 7.65/1.69 thf(zip_tseitin_1_type, type, zip_tseitin_1: $i > $i > $i > $i > $o).
% 7.65/1.69 thf(empty_set_type, type, empty_set: $i).
% 7.65/1.69 thf(equal_set, axiom,
% 7.65/1.69 (![A:$i,B:$i]:
% 7.65/1.69 ( ( equal_set @ A @ B ) <=> ( ( subset @ A @ B ) & ( subset @ B @ A ) ) ))).
% 7.65/1.69 thf(zip_derived_cl5, plain,
% 7.65/1.69 (![X0 : $i, X1 : $i]:
% 7.65/1.69 ( (equal_set @ X0 @ X1) | ~ (subset @ X1 @ X0) | ~ (subset @ X0 @ X1))),
% 7.65/1.69 inference('cnf', [status(esa)], [equal_set])).
% 7.65/1.69 thf(thIIa13, conjecture,
% 7.65/1.69 (![F:$i,A:$i,B:$i,X:$i]:
% 7.65/1.69 ( ( ( maps @ F @ A @ B ) & ( subset @ X @ A ) &
% 7.65/1.69 ( equal_set @ ( image2 @ F @ X ) @ empty_set ) ) =>
% 7.65/1.69 ( equal_set @ X @ empty_set ) ))).
% 7.65/1.69 thf(zf_stmt_0, negated_conjecture,
% 7.65/1.69 (~( ![F:$i,A:$i,B:$i,X:$i]:
% 7.65/1.69 ( ( ( maps @ F @ A @ B ) & ( subset @ X @ A ) &
% 7.65/1.69 ( equal_set @ ( image2 @ F @ X ) @ empty_set ) ) =>
% 7.65/1.69 ( equal_set @ X @ empty_set ) ) )),
% 7.65/1.69 inference('cnf.neg', [status(esa)], [thIIa13])).
% 7.65/1.69 thf(zip_derived_cl26, plain, (~ (equal_set @ sk__10 @ empty_set)),
% 7.65/1.69 inference('cnf', [status(esa)], [zf_stmt_0])).
% 7.65/1.69 thf(zip_derived_cl43, plain,
% 7.65/1.69 ((~ (subset @ sk__10 @ empty_set) | ~ (subset @ empty_set @ sk__10))),
% 7.65/1.69 inference('sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl26])).
% 7.65/1.69 thf(subset, axiom,
% 7.65/1.69 (![A:$i,B:$i]:
% 7.65/1.69 ( ( subset @ A @ B ) <=>
% 7.65/1.69 ( ![X:$i]: ( ( member @ X @ A ) => ( member @ X @ B ) ) ) ))).
% 7.65/1.69 thf(zip_derived_cl2, plain,
% 7.65/1.69 (![X0 : $i, X1 : $i]:
% 7.65/1.69 ( (subset @ X0 @ X1) | (member @ (sk_ @ X1 @ X0) @ X0))),
% 7.65/1.69 inference('cnf', [status(esa)], [subset])).
% 7.65/1.69 thf(empty_set, axiom, (![X:$i]: ( ~( member @ X @ empty_set ) ))).
% 7.65/1.69 thf(zip_derived_cl6, plain, (![X0 : $i]: ~ (member @ X0 @ empty_set)),
% 7.65/1.69 inference('cnf', [status(esa)], [empty_set])).
% 7.65/1.69 thf(zip_derived_cl36, plain, (![X0 : $i]: (subset @ empty_set @ X0)),
% 7.65/1.69 inference('sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl6])).
% 7.65/1.69 thf(zip_derived_cl46, plain, (~ (subset @ sk__10 @ empty_set)),
% 7.65/1.69 inference('demod', [status(thm)], [zip_derived_cl43, zip_derived_cl36])).
% 7.65/1.69 thf(zip_derived_cl1, plain,
% 7.65/1.69 (![X0 : $i, X1 : $i]:
% 7.65/1.69 ( (subset @ X0 @ X1) | ~ (member @ (sk_ @ X1 @ X0) @ X1))),
% 7.65/1.69 inference('cnf', [status(esa)], [subset])).
% 7.65/1.69 thf(zip_derived_cl2, plain,
% 7.65/1.69 (![X0 : $i, X1 : $i]:
% 7.65/1.69 ( (subset @ X0 @ X1) | (member @ (sk_ @ X1 @ X0) @ X0))),
% 7.65/1.69 inference('cnf', [status(esa)], [subset])).
% 7.65/1.69 thf(zip_derived_cl38, plain,
% 7.65/1.69 (![X0 : $i]: ( (subset @ X0 @ X0) | (subset @ X0 @ X0))),
% 7.65/1.69 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 7.65/1.69 thf(zip_derived_cl39, plain, (![X0 : $i]: (subset @ X0 @ X0)),
% 7.65/1.69 inference('simplify', [status(thm)], [zip_derived_cl38])).
% 7.65/1.69 thf(zip_derived_cl2, plain,
% 7.65/1.69 (![X0 : $i, X1 : $i]:
% 7.65/1.69 ( (subset @ X0 @ X1) | (member @ (sk_ @ X1 @ X0) @ X0))),
% 7.65/1.69 inference('cnf', [status(esa)], [subset])).
% 7.65/1.69 thf(maps, axiom,
% 7.65/1.69 (![F:$i,A:$i,B:$i]:
% 7.65/1.69 ( ( maps @ F @ A @ B ) <=>
% 7.65/1.69 ( ( ![X:$i,Y1:$i,Y2:$i]:
% 7.65/1.69 ( ( ( member @ Y2 @ B ) & ( member @ Y1 @ B ) & ( member @ X @ A ) ) =>
% 7.65/1.69 ( ( ( apply @ F @ X @ Y2 ) & ( apply @ F @ X @ Y1 ) ) =>
% 7.65/1.69 ( ( Y1 ) = ( Y2 ) ) ) ) ) &
% 7.65/1.69 ( ![X:$i]:
% 7.65/1.69 ( ( member @ X @ A ) =>
% 7.65/1.69 ( ?[Y:$i]: ( ( member @ Y @ B ) & ( apply @ F @ X @ Y ) ) ) ) ) ) ))).
% 7.65/1.69 thf(zf_stmt_1, type, zip_tseitin_2 : $i > $i > $i > $i > $o).
% 7.65/1.69 thf(zf_stmt_2, axiom,
% 7.65/1.69 (![X:$i,B:$i,A:$i,F:$i]:
% 7.65/1.69 ( ( zip_tseitin_2 @ X @ B @ A @ F ) <=>
% 7.65/1.69 ( ( member @ X @ A ) =>
% 7.65/1.69 ( ?[Y:$i]: ( ( apply @ F @ X @ Y ) & ( member @ Y @ B ) ) ) ) ))).
% 7.65/1.69 thf(zf_stmt_3, type, zip_tseitin_1 : $i > $i > $i > $i > $o).
% 7.65/1.69 thf(zf_stmt_4, axiom,
% 7.65/1.69 (![Y2:$i,Y1:$i,X:$i,F:$i]:
% 7.65/1.69 ( ( zip_tseitin_1 @ Y2 @ Y1 @ X @ F ) <=>
% 7.65/1.69 ( ( ( apply @ F @ X @ Y1 ) & ( apply @ F @ X @ Y2 ) ) =>
% 7.65/1.69 ( ( Y1 ) = ( Y2 ) ) ) ))).
% 7.65/1.69 thf(zf_stmt_5, type, zip_tseitin_0 : $i > $i > $i > $i > $i > $o).
% 7.65/1.69 thf(zf_stmt_6, axiom,
% 7.65/1.69 (![Y2:$i,Y1:$i,X:$i,B:$i,A:$i]:
% 7.65/1.69 ( ( zip_tseitin_0 @ Y2 @ Y1 @ X @ B @ A ) <=>
% 7.65/1.69 ( ( member @ X @ A ) & ( member @ Y1 @ B ) & ( member @ Y2 @ B ) ) ))).
% 7.65/1.69 thf(zf_stmt_7, axiom,
% 7.65/1.69 (![F:$i,A:$i,B:$i]:
% 7.65/1.69 ( ( maps @ F @ A @ B ) <=>
% 7.65/1.69 ( ( ![X:$i]: ( zip_tseitin_2 @ X @ B @ A @ F ) ) &
% 7.65/1.69 ( ![X:$i,Y1:$i,Y2:$i]:
% 7.65/1.69 ( ( zip_tseitin_0 @ Y2 @ Y1 @ X @ B @ A ) =>
% 7.65/1.69 ( zip_tseitin_1 @ Y2 @ Y1 @ X @ F ) ) ) ) ))).
% 7.65/1.69 thf(zip_derived_cl19, plain,
% 7.65/1.69 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.65/1.69 ( (zip_tseitin_2 @ X0 @ X1 @ X2 @ X3) | ~ (maps @ X3 @ X2 @ X1))),
% 7.65/1.69 inference('cnf', [status(esa)], [zf_stmt_7])).
% 7.65/1.69 thf(zip_derived_cl29, plain, ( (maps @ sk__7 @ sk__8 @ sk__9)),
% 7.65/1.69 inference('cnf', [status(esa)], [zf_stmt_0])).
% 7.65/1.69 thf(zip_derived_cl62, plain,
% 7.65/1.69 (![X0 : $i]: (zip_tseitin_2 @ X0 @ sk__9 @ sk__8 @ sk__7)),
% 7.65/1.69 inference('sup+', [status(thm)], [zip_derived_cl19, zip_derived_cl29])).
% 7.65/1.69 thf(zip_derived_cl16, plain,
% 7.65/1.69 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.65/1.69 (~ (member @ X0 @ X1)
% 7.65/1.69 | (apply @ X2 @ X0 @ (sk__1 @ X2 @ X3 @ X0))
% 7.65/1.69 | ~ (zip_tseitin_2 @ X0 @ X3 @ X1 @ X2))),
% 7.65/1.69 inference('cnf', [status(esa)], [zf_stmt_2])).
% 7.65/1.69 thf(zip_derived_cl69, plain,
% 7.65/1.69 (![X0 : $i]:
% 7.65/1.69 ( (apply @ sk__7 @ X0 @ (sk__1 @ sk__7 @ sk__9 @ X0))
% 7.65/1.69 | ~ (member @ X0 @ sk__8))),
% 7.65/1.69 inference('sup-', [status(thm)], [zip_derived_cl62, zip_derived_cl16])).
% 7.65/1.69 thf(image2, axiom,
% 7.65/1.69 (![F:$i,A:$i,Y:$i]:
% 7.65/1.69 ( ( member @ Y @ ( image2 @ F @ A ) ) <=>
% 7.65/1.69 ( ?[X:$i]: ( ( apply @ F @ X @ Y ) & ( member @ X @ A ) ) ) ))).
% 7.65/1.69 thf(zip_derived_cl25, plain,
% 7.65/1.69 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.65/1.69 ( (member @ X0 @ (image2 @ X1 @ X2))
% 7.65/1.69 | ~ (member @ X3 @ X2)
% 7.65/1.69 | ~ (apply @ X1 @ X3 @ X0))),
% 7.65/1.69 inference('cnf', [status(esa)], [image2])).
% 7.65/1.69 thf(zip_derived_cl131, plain,
% 7.65/1.69 (![X0 : $i, X1 : $i]:
% 7.65/1.69 (~ (member @ X0 @ sk__8)
% 7.65/1.69 | ~ (member @ X0 @ X1)
% 7.65/1.69 | (member @ (sk__1 @ sk__7 @ sk__9 @ X0) @ (image2 @ sk__7 @ X1)))),
% 7.65/1.69 inference('sup-', [status(thm)], [zip_derived_cl69, zip_derived_cl25])).
% 7.65/1.69 thf(zip_derived_cl27, plain,
% 7.65/1.69 ( (equal_set @ (image2 @ sk__7 @ sk__10) @ empty_set)),
% 7.65/1.69 inference('cnf', [status(esa)], [zf_stmt_0])).
% 7.65/1.69 thf(zip_derived_cl3, plain,
% 7.65/1.69 (![X0 : $i, X1 : $i]: ( (subset @ X0 @ X1) | ~ (equal_set @ X0 @ X1))),
% 7.65/1.69 inference('cnf', [status(esa)], [equal_set])).
% 7.65/1.69 thf(zip_derived_cl31, plain,
% 7.65/1.69 ( (subset @ (image2 @ sk__7 @ sk__10) @ empty_set)),
% 7.65/1.69 inference('sup-', [status(thm)], [zip_derived_cl27, zip_derived_cl3])).
% 7.65/1.69 thf(zip_derived_cl2, plain,
% 7.65/1.69 (![X0 : $i, X1 : $i]:
% 7.65/1.69 ( (subset @ X0 @ X1) | (member @ (sk_ @ X1 @ X0) @ X0))),
% 7.65/1.69 inference('cnf', [status(esa)], [subset])).
% 7.65/1.69 thf(zip_derived_cl0, plain,
% 7.65/1.69 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.65/1.69 (~ (member @ X0 @ X1) | (member @ X0 @ X2) | ~ (subset @ X1 @ X2))),
% 7.65/1.69 inference('cnf', [status(esa)], [subset])).
% 7.65/1.69 thf(zip_derived_cl35, plain,
% 7.65/1.69 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.65/1.69 ( (subset @ X0 @ X1)
% 7.65/1.69 | ~ (subset @ X0 @ X2)
% 7.65/1.69 | (member @ (sk_ @ X1 @ X0) @ X2))),
% 7.65/1.69 inference('sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl0])).
% 7.65/1.69 thf(zip_derived_cl49, plain,
% 7.65/1.69 (![X0 : $i]:
% 7.65/1.69 ( (member @ (sk_ @ X0 @ (image2 @ sk__7 @ sk__10)) @ empty_set)
% 7.65/1.69 | (subset @ (image2 @ sk__7 @ sk__10) @ X0))),
% 7.65/1.69 inference('sup-', [status(thm)], [zip_derived_cl31, zip_derived_cl35])).
% 7.65/1.69 thf(zip_derived_cl6, plain, (![X0 : $i]: ~ (member @ X0 @ empty_set)),
% 7.65/1.69 inference('cnf', [status(esa)], [empty_set])).
% 7.65/1.69 thf(zip_derived_cl240, plain,
% 7.65/1.69 (![X0 : $i]: (subset @ (image2 @ sk__7 @ sk__10) @ X0)),
% 7.65/1.69 inference('clc', [status(thm)], [zip_derived_cl49, zip_derived_cl6])).
% 7.65/1.69 thf(zip_derived_cl131, plain,
% 7.65/1.69 (![X0 : $i, X1 : $i]:
% 7.65/1.69 (~ (member @ X0 @ sk__8)
% 7.65/1.69 | ~ (member @ X0 @ X1)
% 7.65/1.69 | (member @ (sk__1 @ sk__7 @ sk__9 @ X0) @ (image2 @ sk__7 @ X1)))),
% 7.65/1.69 inference('sup-', [status(thm)], [zip_derived_cl69, zip_derived_cl25])).
% 7.65/1.69 thf(zip_derived_cl24, plain,
% 7.65/1.69 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.65/1.69 ( (member @ (sk__6 @ X0 @ X1 @ X2) @ X1)
% 7.65/1.69 | ~ (member @ X0 @ (image2 @ X2 @ X1)))),
% 7.65/1.69 inference('cnf', [status(esa)], [image2])).
% 7.65/1.69 thf(zip_derived_cl0, plain,
% 7.65/1.69 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.65/1.69 (~ (member @ X0 @ X1) | (member @ X0 @ X2) | ~ (subset @ X1 @ X2))),
% 7.65/1.69 inference('cnf', [status(esa)], [subset])).
% 7.65/1.69 thf(zip_derived_cl77, plain,
% 7.65/1.69 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.65/1.69 (~ (member @ X2 @ (image2 @ X1 @ X0))
% 7.65/1.69 | ~ (subset @ X0 @ X3)
% 7.65/1.69 | (member @ (sk__6 @ X2 @ X0 @ X1) @ X3))),
% 7.65/1.69 inference('sup-', [status(thm)], [zip_derived_cl24, zip_derived_cl0])).
% 7.65/1.69 thf(zip_derived_cl77, plain,
% 7.65/1.69 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.65/1.69 (~ (member @ X2 @ (image2 @ X1 @ X0))
% 7.65/1.69 | ~ (subset @ X0 @ X3)
% 7.65/1.69 | (member @ (sk__6 @ X2 @ X0 @ X1) @ X3))),
% 7.65/1.69 inference('sup-', [status(thm)], [zip_derived_cl24, zip_derived_cl0])).
% 7.65/1.69 thf(zip_derived_cl131, plain,
% 7.65/1.69 (![X0 : $i, X1 : $i]:
% 7.65/1.69 (~ (member @ X0 @ sk__8)
% 7.65/1.69 | ~ (member @ X0 @ X1)
% 7.65/1.69 | (member @ (sk__1 @ sk__7 @ sk__9 @ X0) @ (image2 @ sk__7 @ X1)))),
% 7.65/1.69 inference('sup-', [status(thm)], [zip_derived_cl69, zip_derived_cl25])).
% 7.65/1.69 thf(zip_derived_cl77, plain,
% 7.65/1.69 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.65/1.69 (~ (member @ X2 @ (image2 @ X1 @ X0))
% 7.65/1.69 | ~ (subset @ X0 @ X3)
% 7.65/1.69 | (member @ (sk__6 @ X2 @ X0 @ X1) @ X3))),
% 7.65/1.69 inference('sup-', [status(thm)], [zip_derived_cl24, zip_derived_cl0])).
% 7.65/1.69 thf(zip_derived_cl6, plain, (![X0 : $i]: ~ (member @ X0 @ empty_set)),
% 7.65/1.69 inference('cnf', [status(esa)], [empty_set])).
% 7.65/1.69 thf(zip_derived_cl143, plain,
% 7.65/1.69 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.65/1.69 (~ (subset @ X1 @ empty_set) | ~ (member @ X2 @ (image2 @ X0 @ X1)))),
% 7.65/1.69 inference('sup-', [status(thm)], [zip_derived_cl77, zip_derived_cl6])).
% 7.65/1.69 thf(zip_derived_cl973, plain,
% 7.65/1.69 (![X0 : $i, X1 : $i]:
% 7.65/1.69 (~ (member @ X1 @ X0)
% 7.65/1.69 | ~ (member @ X1 @ sk__8)
% 7.65/1.69 | ~ (subset @ X0 @ empty_set))),
% 7.65/1.69 inference('sup-', [status(thm)], [zip_derived_cl131, zip_derived_cl143])).
% 7.65/1.69 thf(zip_derived_cl1010, plain,
% 7.65/1.69 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.65/1.69 (~ (subset @ X2 @ X0)
% 7.65/1.69 | ~ (member @ X3 @ (image2 @ X1 @ X2))
% 7.65/1.69 | ~ (subset @ X0 @ empty_set)
% 7.65/1.69 | ~ (member @ (sk__6 @ X3 @ X2 @ X1) @ sk__8))),
% 7.65/1.69 inference('sup-', [status(thm)], [zip_derived_cl77, zip_derived_cl973])).
% 7.65/1.69 thf(zip_derived_cl1559, plain,
% 7.65/1.69 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.65/1.69 (~ (subset @ X1 @ sk__8)
% 7.65/1.69 | ~ (member @ X2 @ (image2 @ X0 @ X1))
% 7.65/1.69 | ~ (subset @ X3 @ empty_set)
% 7.65/1.69 | ~ (member @ X2 @ (image2 @ X0 @ X1))
% 7.65/1.69 | ~ (subset @ X1 @ X3))),
% 7.65/1.69 inference('sup-', [status(thm)], [zip_derived_cl77, zip_derived_cl1010])).
% 7.65/1.69 thf(zip_derived_cl1562, plain,
% 7.65/1.69 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.65/1.69 (~ (subset @ X1 @ X3)
% 7.65/1.69 | ~ (subset @ X3 @ empty_set)
% 7.65/1.69 | ~ (member @ X2 @ (image2 @ X0 @ X1))
% 7.65/1.69 | ~ (subset @ X1 @ sk__8))),
% 7.65/1.69 inference('simplify', [status(thm)], [zip_derived_cl1559])).
% 7.65/1.69 thf(zip_derived_cl1612, plain,
% 7.65/1.69 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.65/1.69 (~ (member @ X1 @ X0)
% 7.65/1.69 | ~ (member @ X1 @ sk__8)
% 7.65/1.69 | ~ (subset @ X0 @ sk__8)
% 7.65/1.69 | ~ (subset @ X2 @ empty_set)
% 7.65/1.69 | ~ (subset @ X0 @ X2))),
% 7.65/1.69 inference('sup-', [status(thm)], [zip_derived_cl131, zip_derived_cl1562])).
% 7.65/1.69 thf(zip_derived_cl0, plain,
% 7.65/1.69 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.65/1.69 (~ (member @ X0 @ X1) | (member @ X0 @ X2) | ~ (subset @ X1 @ X2))),
% 7.65/1.69 inference('cnf', [status(esa)], [subset])).
% 7.65/1.69 thf(zip_derived_cl1616, plain,
% 7.65/1.69 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.65/1.69 (~ (subset @ X0 @ X2)
% 7.65/1.69 | ~ (subset @ X2 @ empty_set)
% 7.65/1.69 | ~ (subset @ X0 @ sk__8)
% 7.65/1.69 | ~ (member @ X1 @ X0))),
% 7.65/1.69 inference('clc', [status(thm)], [zip_derived_cl1612, zip_derived_cl0])).
% 7.65/1.69 thf(zip_derived_cl1634, plain,
% 7.65/1.69 (![X0 : $i, X1 : $i]:
% 7.65/1.69 (~ (member @ X1 @ (image2 @ sk__7 @ sk__10))
% 7.65/1.69 | ~ (subset @ (image2 @ sk__7 @ sk__10) @ sk__8)
% 7.65/1.69 | ~ (subset @ X0 @ empty_set))),
% 7.65/1.69 inference('sup-', [status(thm)], [zip_derived_cl240, zip_derived_cl1616])).
% 7.65/1.69 thf(zip_derived_cl240, plain,
% 7.65/1.69 (![X0 : $i]: (subset @ (image2 @ sk__7 @ sk__10) @ X0)),
% 7.65/1.69 inference('clc', [status(thm)], [zip_derived_cl49, zip_derived_cl6])).
% 7.65/1.69 thf(zip_derived_cl1650, plain,
% 7.65/1.69 (![X0 : $i, X1 : $i]:
% 7.65/1.69 (~ (member @ X1 @ (image2 @ sk__7 @ sk__10))
% 7.65/1.69 | ~ (subset @ X0 @ empty_set))),
% 7.65/1.69 inference('demod', [status(thm)], [zip_derived_cl1634, zip_derived_cl240])).
% 7.65/1.69 thf(zip_derived_cl1671, plain,
% 7.65/1.69 (![X0 : $i, X1 : $i]:
% 7.65/1.69 (~ (member @ X0 @ sk__10)
% 7.65/1.69 | ~ (member @ X0 @ sk__8)
% 7.65/1.69 | ~ (subset @ X1 @ empty_set))),
% 7.65/1.69 inference('sup-', [status(thm)], [zip_derived_cl131, zip_derived_cl1650])).
% 7.65/1.69 thf(zip_derived_cl1714, plain,
% 7.65/1.69 (![X0 : $i, X1 : $i]:
% 7.65/1.69 ( (subset @ sk__10 @ X0)
% 7.65/1.69 | ~ (subset @ X1 @ empty_set)
% 7.65/1.69 | ~ (member @ (sk_ @ X0 @ sk__10) @ sk__8))),
% 7.65/1.69 inference('sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl1671])).
% 7.65/1.69 thf(zip_derived_cl28, plain, ( (subset @ sk__10 @ sk__8)),
% 7.65/1.69 inference('cnf', [status(esa)], [zf_stmt_0])).
% 7.65/1.69 thf(zip_derived_cl35, plain,
% 7.65/1.69 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.65/1.69 ( (subset @ X0 @ X1)
% 7.65/1.69 | ~ (subset @ X0 @ X2)
% 7.65/1.69 | (member @ (sk_ @ X1 @ X0) @ X2))),
% 7.65/1.69 inference('sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl0])).
% 7.65/1.69 thf(zip_derived_cl50, plain,
% 7.65/1.69 (![X0 : $i]:
% 7.65/1.69 ( (member @ (sk_ @ X0 @ sk__10) @ sk__8) | (subset @ sk__10 @ X0))),
% 7.65/1.69 inference('sup-', [status(thm)], [zip_derived_cl28, zip_derived_cl35])).
% 7.65/1.69 thf(zip_derived_cl2121, plain,
% 7.65/1.69 (![X0 : $i, X1 : $i]:
% 7.65/1.69 (~ (subset @ X1 @ empty_set) | (subset @ sk__10 @ X0))),
% 7.65/1.69 inference('clc', [status(thm)], [zip_derived_cl1714, zip_derived_cl50])).
% 7.65/1.69 thf(zip_derived_cl2122, plain, (![X0 : $i]: (subset @ sk__10 @ X0)),
% 7.65/1.69 inference('sup-', [status(thm)], [zip_derived_cl39, zip_derived_cl2121])).
% 7.65/1.69 thf(zip_derived_cl2142, plain, ($false),
% 7.65/1.69 inference('demod', [status(thm)], [zip_derived_cl46, zip_derived_cl2122])).
% 7.65/1.69
% 7.65/1.69 % SZS output end Refutation
% 7.65/1.69
% 7.65/1.69
% 7.65/1.69 % Terminating...
% 8.26/1.82 % Runner terminated.
% 8.26/1.83 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------