%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET754+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.dUWtVRbFJG 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 04:52:47 PM UTC 2025
% Result : Theorem 35.52s 5.66s
% Output : Refutation 35.52s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET754+4 : TPTP v9.2.0. Bugfixed v2.2.1.
% 0.07/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.dUWtVRbFJG true
% 0.15/0.35 % Computer : n005.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Wed Oct 1 13:09:38 EDT 2025
% 0.15/0.35 % CPUTime :
% 0.15/0.35 % Running portfolio for 300 s
% 0.15/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.35 % Number of cores: 8
% 0.15/0.35 % Python version: Python 3.6.8
% 0.15/0.36 % Running in FO mode
% 0.55/0.64 % Total configuration time : 435
% 0.55/0.64 % Estimated wc time : 1092
% 0.55/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.56/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.56/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.56/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.56/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.56/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.56/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.57/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 35.52/5.66 % Solved by fo/fo4.sh.
% 35.52/5.66 % done 1857 iterations in 4.883s
% 35.52/5.66 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 35.52/5.66 % SZS output start Refutation
% 35.52/5.66 thf(member_type, type, member: $i > $i > $o).
% 35.52/5.66 thf(sk__8_type, type, sk__8: $i).
% 35.52/5.66 thf(sk__9_type, type, sk__9: $i).
% 35.52/5.66 thf(maps_type, type, maps: $i > $i > $i > $o).
% 35.52/5.66 thf(inverse_image2_type, type, inverse_image2: $i > $i > $i).
% 35.52/5.66 thf(subset_type, type, subset: $i > $i > $o).
% 35.52/5.66 thf(sk__1_type, type, sk__1: $i > $i > $i > $i).
% 35.52/5.66 thf(image2_type, type, image2: $i > $i > $i).
% 35.52/5.66 thf(sk__type, type, sk_: $i > $i > $i).
% 35.52/5.66 thf(apply_type, type, apply: $i > $i > $i > $o).
% 35.52/5.66 thf(zip_tseitin_2_type, type, zip_tseitin_2: $i > $i > $i > $i > $o).
% 35.52/5.66 thf(sk__10_type, type, sk__10: $i).
% 35.52/5.66 thf(sk__7_type, type, sk__7: $i > $i > $i > $i).
% 35.52/5.66 thf(zip_tseitin_0_type, type, zip_tseitin_0: $i > $i > $i > $i > $i > $o).
% 35.52/5.66 thf(zip_tseitin_1_type, type, zip_tseitin_1: $i > $i > $i > $i > $o).
% 35.52/5.66 thf(sk__11_type, type, sk__11: $i).
% 35.52/5.66 thf(thIIa04, conjecture,
% 35.52/5.66 (![F:$i,A:$i,B:$i,C:$i]:
% 35.52/5.66 ( ( ( maps @ F @ A @ B ) & ( subset @ C @ A ) ) =>
% 35.52/5.66 ( subset @ C @ ( inverse_image2 @ F @ ( image2 @ F @ C ) ) ) ))).
% 35.52/5.66 thf(zf_stmt_0, negated_conjecture,
% 35.52/5.66 (~( ![F:$i,A:$i,B:$i,C:$i]:
% 35.52/5.66 ( ( ( maps @ F @ A @ B ) & ( subset @ C @ A ) ) =>
% 35.52/5.66 ( subset @ C @ ( inverse_image2 @ F @ ( image2 @ F @ C ) ) ) ) )),
% 35.52/5.66 inference('cnf.neg', [status(esa)], [thIIa04])).
% 35.52/5.66 thf(zip_derived_cl25, plain,
% 35.52/5.66 (~ (subset @ sk__11 @
% 35.52/5.66 (inverse_image2 @ sk__8 @ (image2 @ sk__8 @ sk__11)))),
% 35.52/5.66 inference('cnf', [status(esa)], [zf_stmt_0])).
% 35.52/5.66 thf(subset, axiom,
% 35.52/5.66 (![A:$i,B:$i]:
% 35.52/5.66 ( ( subset @ A @ B ) <=>
% 35.52/5.66 ( ![X:$i]: ( ( member @ X @ A ) => ( member @ X @ B ) ) ) ))).
% 35.52/5.66 thf(zip_derived_cl1, plain,
% 35.52/5.66 (![X0 : $i, X1 : $i]:
% 35.52/5.66 ( (subset @ X0 @ X1) | ~ (member @ (sk_ @ X1 @ X0) @ X1))),
% 35.52/5.66 inference('cnf', [status(esa)], [subset])).
% 35.52/5.66 thf(zip_derived_cl2, plain,
% 35.52/5.66 (![X0 : $i, X1 : $i]:
% 35.52/5.66 ( (subset @ X0 @ X1) | (member @ (sk_ @ X1 @ X0) @ X0))),
% 35.52/5.66 inference('cnf', [status(esa)], [subset])).
% 35.52/5.66 thf(zip_derived_cl2, plain,
% 35.52/5.66 (![X0 : $i, X1 : $i]:
% 35.52/5.66 ( (subset @ X0 @ X1) | (member @ (sk_ @ X1 @ X0) @ X0))),
% 35.52/5.66 inference('cnf', [status(esa)], [subset])).
% 35.52/5.66 thf(maps, axiom,
% 35.52/5.66 (![F:$i,A:$i,B:$i]:
% 35.52/5.66 ( ( maps @ F @ A @ B ) <=>
% 35.52/5.66 ( ( ![X:$i,Y1:$i,Y2:$i]:
% 35.52/5.66 ( ( ( member @ Y2 @ B ) & ( member @ Y1 @ B ) & ( member @ X @ A ) ) =>
% 35.52/5.66 ( ( ( apply @ F @ X @ Y2 ) & ( apply @ F @ X @ Y1 ) ) =>
% 35.52/5.66 ( ( Y1 ) = ( Y2 ) ) ) ) ) &
% 35.52/5.66 ( ![X:$i]:
% 35.52/5.66 ( ( member @ X @ A ) =>
% 35.52/5.66 ( ?[Y:$i]: ( ( member @ Y @ B ) & ( apply @ F @ X @ Y ) ) ) ) ) ) ))).
% 35.52/5.66 thf(zf_stmt_1, type, zip_tseitin_2 : $i > $i > $i > $i > $o).
% 35.52/5.66 thf(zf_stmt_2, axiom,
% 35.52/5.66 (![X:$i,B:$i,A:$i,F:$i]:
% 35.52/5.66 ( ( zip_tseitin_2 @ X @ B @ A @ F ) <=>
% 35.52/5.66 ( ( member @ X @ A ) =>
% 35.52/5.66 ( ?[Y:$i]: ( ( apply @ F @ X @ Y ) & ( member @ Y @ B ) ) ) ) ))).
% 35.52/5.66 thf(zf_stmt_3, type, zip_tseitin_1 : $i > $i > $i > $i > $o).
% 35.52/5.66 thf(zf_stmt_4, axiom,
% 35.52/5.66 (![Y2:$i,Y1:$i,X:$i,F:$i]:
% 35.52/5.66 ( ( zip_tseitin_1 @ Y2 @ Y1 @ X @ F ) <=>
% 35.52/5.66 ( ( ( apply @ F @ X @ Y1 ) & ( apply @ F @ X @ Y2 ) ) =>
% 35.52/5.66 ( ( Y1 ) = ( Y2 ) ) ) ))).
% 35.52/5.66 thf(zf_stmt_5, type, zip_tseitin_0 : $i > $i > $i > $i > $i > $o).
% 35.52/5.66 thf(zf_stmt_6, axiom,
% 35.52/5.66 (![Y2:$i,Y1:$i,X:$i,B:$i,A:$i]:
% 35.52/5.66 ( ( zip_tseitin_0 @ Y2 @ Y1 @ X @ B @ A ) <=>
% 35.52/5.66 ( ( member @ X @ A ) & ( member @ Y1 @ B ) & ( member @ Y2 @ B ) ) ))).
% 35.52/5.66 thf(zf_stmt_7, axiom,
% 35.52/5.66 (![F:$i,A:$i,B:$i]:
% 35.52/5.66 ( ( maps @ F @ A @ B ) <=>
% 35.52/5.66 ( ( ![X:$i]: ( zip_tseitin_2 @ X @ B @ A @ F ) ) &
% 35.52/5.66 ( ![X:$i,Y1:$i,Y2:$i]:
% 35.52/5.66 ( ( zip_tseitin_0 @ Y2 @ Y1 @ X @ B @ A ) =>
% 35.52/5.66 ( zip_tseitin_1 @ Y2 @ Y1 @ X @ F ) ) ) ) ))).
% 35.52/5.66 thf(zip_derived_cl15, plain,
% 35.52/5.66 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 35.52/5.66 ( (zip_tseitin_2 @ X0 @ X1 @ X2 @ X3) | ~ (maps @ X3 @ X2 @ X1))),
% 35.52/5.66 inference('cnf', [status(esa)], [zf_stmt_7])).
% 35.52/5.66 thf(zip_derived_cl27, plain, ( (maps @ sk__8 @ sk__9 @ sk__10)),
% 35.52/5.66 inference('cnf', [status(esa)], [zf_stmt_0])).
% 35.52/5.66 thf(zip_derived_cl29, plain,
% 35.52/5.66 (![X0 : $i]: (zip_tseitin_2 @ X0 @ sk__10 @ sk__9 @ sk__8)),
% 35.52/5.66 inference('sup+', [status(thm)], [zip_derived_cl15, zip_derived_cl27])).
% 35.52/5.66 thf(zip_derived_cl11, plain,
% 35.52/5.66 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 35.52/5.66 (~ (member @ X0 @ X1)
% 35.52/5.66 | (member @ (sk__1 @ X2 @ X3 @ X0) @ X3)
% 35.52/5.66 | ~ (zip_tseitin_2 @ X0 @ X3 @ X1 @ X2))),
% 35.52/5.66 inference('cnf', [status(esa)], [zf_stmt_2])).
% 35.52/5.66 thf(zip_derived_cl46, plain,
% 35.52/5.66 (![X0 : $i]:
% 35.52/5.66 ( (member @ (sk__1 @ sk__8 @ sk__10 @ X0) @ sk__10)
% 35.52/5.66 | ~ (member @ X0 @ sk__9))),
% 35.52/5.66 inference('sup-', [status(thm)], [zip_derived_cl29, zip_derived_cl11])).
% 35.52/5.66 thf(zip_derived_cl29, plain,
% 35.52/5.66 (![X0 : $i]: (zip_tseitin_2 @ X0 @ sk__10 @ sk__9 @ sk__8)),
% 35.52/5.66 inference('sup+', [status(thm)], [zip_derived_cl15, zip_derived_cl27])).
% 35.52/5.66 thf(zip_derived_cl12, plain,
% 35.52/5.66 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 35.52/5.66 (~ (member @ X0 @ X1)
% 35.52/5.66 | (apply @ X2 @ X0 @ (sk__1 @ X2 @ X3 @ X0))
% 35.52/5.66 | ~ (zip_tseitin_2 @ X0 @ X3 @ X1 @ X2))),
% 35.52/5.66 inference('cnf', [status(esa)], [zf_stmt_2])).
% 35.52/5.66 thf(zip_derived_cl48, plain,
% 35.52/5.66 (![X0 : $i]:
% 35.52/5.66 ( (apply @ sk__8 @ X0 @ (sk__1 @ sk__8 @ sk__10 @ X0))
% 35.52/5.66 | ~ (member @ X0 @ sk__9))),
% 35.52/5.66 inference('sup-', [status(thm)], [zip_derived_cl29, zip_derived_cl12])).
% 35.52/5.66 thf(inverse_image2, axiom,
% 35.52/5.66 (![F:$i,B:$i,X:$i]:
% 35.52/5.66 ( ( member @ X @ ( inverse_image2 @ F @ B ) ) <=>
% 35.52/5.66 ( ?[Y:$i]: ( ( apply @ F @ X @ Y ) & ( member @ Y @ B ) ) ) ))).
% 35.52/5.66 thf(zip_derived_cl24, plain,
% 35.52/5.66 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 35.52/5.66 ( (member @ X0 @ (inverse_image2 @ X1 @ X2))
% 35.52/5.66 | ~ (member @ X3 @ X2)
% 35.52/5.66 | ~ (apply @ X1 @ X0 @ X3))),
% 35.52/5.66 inference('cnf', [status(esa)], [inverse_image2])).
% 35.52/5.66 thf(zip_derived_cl57, plain,
% 35.52/5.66 (![X0 : $i, X1 : $i]:
% 35.52/5.66 (~ (member @ X0 @ sk__9)
% 35.52/5.66 | ~ (member @ (sk__1 @ sk__8 @ sk__10 @ X0) @ X1)
% 35.52/5.66 | (member @ X0 @ (inverse_image2 @ sk__8 @ X1)))),
% 35.52/5.66 inference('sup-', [status(thm)], [zip_derived_cl48, zip_derived_cl24])).
% 35.52/5.66 thf(zip_derived_cl70, plain,
% 35.52/5.66 (![X0 : $i]:
% 35.52/5.66 (~ (member @ X0 @ sk__9)
% 35.52/5.66 | (member @ X0 @ (inverse_image2 @ sk__8 @ sk__10))
% 35.52/5.66 | ~ (member @ X0 @ sk__9))),
% 35.52/5.66 inference('sup-', [status(thm)], [zip_derived_cl46, zip_derived_cl57])).
% 35.52/5.66 thf(zip_derived_cl72, plain,
% 35.52/5.66 (![X0 : $i]:
% 35.52/5.66 ( (member @ X0 @ (inverse_image2 @ sk__8 @ sk__10))
% 35.52/5.66 | ~ (member @ X0 @ sk__9))),
% 35.52/5.66 inference('simplify', [status(thm)], [zip_derived_cl70])).
% 35.52/5.66 thf(zip_derived_cl1, plain,
% 35.52/5.66 (![X0 : $i, X1 : $i]:
% 35.52/5.66 ( (subset @ X0 @ X1) | ~ (member @ (sk_ @ X1 @ X0) @ X1))),
% 35.52/5.66 inference('cnf', [status(esa)], [subset])).
% 35.52/5.66 thf(zip_derived_cl76, plain,
% 35.52/5.66 (![X0 : $i]:
% 35.52/5.66 (~ (member @ (sk_ @ (inverse_image2 @ sk__8 @ sk__10) @ X0) @ sk__9)
% 35.52/5.66 | (subset @ X0 @ (inverse_image2 @ sk__8 @ sk__10)))),
% 35.52/5.66 inference('sup-', [status(thm)], [zip_derived_cl72, zip_derived_cl1])).
% 35.52/5.66 thf(zip_derived_cl100, plain,
% 35.52/5.66 (( (subset @ sk__9 @ (inverse_image2 @ sk__8 @ sk__10))
% 35.52/5.66 | (subset @ sk__9 @ (inverse_image2 @ sk__8 @ sk__10)))),
% 35.52/5.66 inference('sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl76])).
% 35.52/5.66 thf(zip_derived_cl102, plain,
% 35.52/5.66 ( (subset @ sk__9 @ (inverse_image2 @ sk__8 @ sk__10))),
% 35.52/5.66 inference('simplify', [status(thm)], [zip_derived_cl100])).
% 35.52/5.66 thf(zip_derived_cl26, plain, ( (subset @ sk__11 @ sk__9)),
% 35.52/5.66 inference('cnf', [status(esa)], [zf_stmt_0])).
% 35.52/5.66 thf(zip_derived_cl2, plain,
% 35.52/5.66 (![X0 : $i, X1 : $i]:
% 35.52/5.66 ( (subset @ X0 @ X1) | (member @ (sk_ @ X1 @ X0) @ X0))),
% 35.52/5.66 inference('cnf', [status(esa)], [subset])).
% 35.52/5.66 thf(zip_derived_cl0, plain,
% 35.52/5.66 (![X0 : $i, X1 : $i, X2 : $i]:
% 35.52/5.66 (~ (member @ X0 @ X1) | (member @ X0 @ X2) | ~ (subset @ X1 @ X2))),
% 35.52/5.66 inference('cnf', [status(esa)], [subset])).
% 35.52/5.66 thf(zip_derived_cl31, plain,
% 35.52/5.66 (![X0 : $i, X1 : $i, X2 : $i]:
% 35.52/5.66 ( (subset @ X0 @ X1)
% 35.52/5.66 | ~ (subset @ X0 @ X2)
% 35.52/5.66 | (member @ (sk_ @ X1 @ X0) @ X2))),
% 35.52/5.66 inference('sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl0])).
% 35.52/5.66 thf(zip_derived_cl37, plain,
% 35.52/5.66 (![X0 : $i]:
% 35.52/5.66 ( (member @ (sk_ @ X0 @ sk__11) @ sk__9) | (subset @ sk__11 @ X0))),
% 35.52/5.66 inference('sup-', [status(thm)], [zip_derived_cl26, zip_derived_cl31])).
% 35.52/5.66 thf(zip_derived_cl0, plain,
% 35.52/5.66 (![X0 : $i, X1 : $i, X2 : $i]:
% 35.52/5.66 (~ (member @ X0 @ X1) | (member @ X0 @ X2) | ~ (subset @ X1 @ X2))),
% 35.52/5.66 inference('cnf', [status(esa)], [subset])).
% 35.52/5.66 thf(zip_derived_cl38, plain,
% 35.52/5.66 (![X0 : $i, X1 : $i]:
% 35.52/5.66 ( (subset @ sk__11 @ X0)
% 35.52/5.66 | ~ (subset @ sk__9 @ X1)
% 35.52/5.66 | (member @ (sk_ @ X0 @ sk__11) @ X1))),
% 35.52/5.66 inference('sup-', [status(thm)], [zip_derived_cl37, zip_derived_cl0])).
% 35.52/5.66 thf(zip_derived_cl150, plain,
% 35.52/5.66 (![X0 : $i]:
% 35.52/5.66 ( (member @ (sk_ @ X0 @ sk__11) @ (inverse_image2 @ sk__8 @ sk__10))
% 35.52/5.66 | (subset @ sk__11 @ X0))),
% 35.52/5.66 inference('sup-', [status(thm)], [zip_derived_cl102, zip_derived_cl38])).
% 35.52/5.66 thf(zip_derived_cl22, plain,
% 35.52/5.66 (![X0 : $i, X1 : $i, X2 : $i]:
% 35.52/5.66 ( (apply @ X0 @ X1 @ (sk__7 @ X1 @ X2 @ X0))
% 35.52/5.66 | ~ (member @ X1 @ (inverse_image2 @ X0 @ X2)))),
% 35.52/5.66 inference('cnf', [status(esa)], [inverse_image2])).
% 35.52/5.66 thf(image2, axiom,
% 35.52/5.66 (![F:$i,A:$i,Y:$i]:
% 35.52/5.66 ( ( member @ Y @ ( image2 @ F @ A ) ) <=>
% 35.52/5.66 ( ?[X:$i]: ( ( apply @ F @ X @ Y ) & ( member @ X @ A ) ) ) ))).
% 35.52/5.66 thf(zip_derived_cl21, plain,
% 35.52/5.66 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 35.52/5.66 ( (member @ X0 @ (image2 @ X1 @ X2))
% 35.52/5.66 | ~ (member @ X3 @ X2)
% 35.52/5.66 | ~ (apply @ X1 @ X3 @ X0))),
% 35.52/5.66 inference('cnf', [status(esa)], [image2])).
% 35.52/5.66 thf(zip_derived_cl307, plain,
% 35.52/5.66 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 35.52/5.66 (~ (member @ X2 @ (inverse_image2 @ X0 @ X1))
% 35.52/5.66 | ~ (member @ X2 @ X3)
% 35.52/5.66 | (member @ (sk__7 @ X2 @ X1 @ X0) @ (image2 @ X0 @ X3)))),
% 35.52/5.66 inference('sup-', [status(thm)], [zip_derived_cl22, zip_derived_cl21])).
% 35.52/5.66 thf(zip_derived_cl22, plain,
% 35.52/5.66 (![X0 : $i, X1 : $i, X2 : $i]:
% 35.52/5.66 ( (apply @ X0 @ X1 @ (sk__7 @ X1 @ X2 @ X0))
% 35.52/5.66 | ~ (member @ X1 @ (inverse_image2 @ X0 @ X2)))),
% 35.52/5.66 inference('cnf', [status(esa)], [inverse_image2])).
% 35.52/5.66 thf(zip_derived_cl24, plain,
% 35.52/5.66 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 35.52/5.66 ( (member @ X0 @ (inverse_image2 @ X1 @ X2))
% 35.52/5.66 | ~ (member @ X3 @ X2)
% 35.52/5.66 | ~ (apply @ X1 @ X0 @ X3))),
% 35.52/5.66 inference('cnf', [status(esa)], [inverse_image2])).
% 35.52/5.66 thf(zip_derived_cl308, plain,
% 35.52/5.66 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 35.52/5.66 (~ (member @ X2 @ (inverse_image2 @ X0 @ X1))
% 35.52/5.66 | ~ (member @ (sk__7 @ X2 @ X1 @ X0) @ X3)
% 35.52/5.66 | (member @ X2 @ (inverse_image2 @ X0 @ X3)))),
% 35.52/5.66 inference('sup-', [status(thm)], [zip_derived_cl22, zip_derived_cl24])).
% 35.52/5.66 thf(zip_derived_cl716, plain,
% 35.52/5.66 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 35.52/5.66 (~ (member @ X3 @ X0)
% 35.52/5.66 | ~ (member @ X3 @ (inverse_image2 @ X1 @ X2))
% 35.52/5.66 | (member @ X3 @ (inverse_image2 @ X1 @ (image2 @ X1 @ X0)))
% 35.52/5.66 | ~ (member @ X3 @ (inverse_image2 @ X1 @ X2)))),
% 35.52/5.66 inference('sup-', [status(thm)], [zip_derived_cl307, zip_derived_cl308])).
% 35.52/5.66 thf(zip_derived_cl718, plain,
% 35.52/5.66 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 35.52/5.66 ( (member @ X3 @ (inverse_image2 @ X1 @ (image2 @ X1 @ X0)))
% 35.52/5.66 | ~ (member @ X3 @ (inverse_image2 @ X1 @ X2))
% 35.52/5.66 | ~ (member @ X3 @ X0))),
% 35.52/5.66 inference('simplify', [status(thm)], [zip_derived_cl716])).
% 35.52/5.66 thf(zip_derived_cl768, plain,
% 35.52/5.66 (![X0 : $i, X1 : $i]:
% 35.52/5.66 ( (subset @ sk__11 @ X0)
% 35.52/5.66 | ~ (member @ (sk_ @ X0 @ sk__11) @ X1)
% 35.52/5.66 | (member @ (sk_ @ X0 @ sk__11) @
% 35.52/5.66 (inverse_image2 @ sk__8 @ (image2 @ sk__8 @ X1))))),
% 35.52/5.66 inference('sup-', [status(thm)], [zip_derived_cl150, zip_derived_cl718])).
% 35.52/5.66 thf(zip_derived_cl19179, plain,
% 35.52/5.66 (![X0 : $i]:
% 35.52/5.66 ( (subset @ sk__11 @ X0)
% 35.52/5.66 | (member @ (sk_ @ X0 @ sk__11) @
% 35.52/5.66 (inverse_image2 @ sk__8 @ (image2 @ sk__8 @ sk__11)))
% 35.52/5.66 | (subset @ sk__11 @ X0))),
% 35.52/5.66 inference('sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl768])).
% 35.52/5.66 thf(zip_derived_cl19183, plain,
% 35.52/5.66 (![X0 : $i]:
% 35.52/5.66 ( (member @ (sk_ @ X0 @ sk__11) @
% 35.52/5.66 (inverse_image2 @ sk__8 @ (image2 @ sk__8 @ sk__11)))
% 35.52/5.66 | (subset @ sk__11 @ X0))),
% 35.52/5.66 inference('simplify', [status(thm)], [zip_derived_cl19179])).
% 35.52/5.66 thf(zip_derived_cl19259, plain,
% 35.52/5.66 (( (subset @ sk__11 @
% 35.52/5.66 (inverse_image2 @ sk__8 @ (image2 @ sk__8 @ sk__11)))
% 35.52/5.66 | (subset @ sk__11 @
% 35.52/5.66 (inverse_image2 @ sk__8 @ (image2 @ sk__8 @ sk__11))))),
% 35.52/5.66 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl19183])).
% 35.52/5.66 thf(zip_derived_cl19261, plain,
% 35.52/5.66 ( (subset @ sk__11 @ (inverse_image2 @ sk__8 @ (image2 @ sk__8 @ sk__11)))),
% 35.52/5.66 inference('simplify', [status(thm)], [zip_derived_cl19259])).
% 35.52/5.66 thf(zip_derived_cl19275, plain, ($false),
% 35.52/5.66 inference('demod', [status(thm)], [zip_derived_cl25, zip_derived_cl19261])).
% 35.52/5.66
% 35.52/5.66 % SZS output end Refutation
% 35.52/5.66
% 35.52/5.66
% 35.52/5.66 % Terminating...
% 36.04/5.75 % Runner terminated.
% 36.04/5.76 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------