%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU293+1 : TPTP v9.2.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.pi18gTNDxe 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 04:54:08 PM UTC 2025
% Result : Theorem 0.53s 0.89s
% Output : Refutation 0.53s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.12 % Problem : SEU293+1 : TPTP v9.2.0. Released v3.3.0.
% 0.02/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.pi18gTNDxe 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 16:14:08 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.35 % Number of cores: 8
% 0.20/0.35 % Python version: Python 3.6.8
% 0.20/0.35 % Running in FO mode
% 0.50/0.62 % Total configuration time : 435
% 0.50/0.62 % Estimated wc time : 1092
% 0.50/0.62 % Estimated cpu time (7 cpus) : 156.0
% 0.52/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.52/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.52/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.52/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.52/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.52/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.52/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.53/0.89 % Solved by fo/fo3_bce.sh.
% 0.53/0.89 % BCE start: 98
% 0.53/0.89 % BCE eliminated: 6
% 0.53/0.89 % PE start: 92
% 0.53/0.89 logic: eq
% 0.53/0.89 % PE eliminated: 7
% 0.53/0.89 % done 210 iterations in 0.128s
% 0.53/0.89 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.53/0.89 % SZS output start Refutation
% 0.53/0.89 thf(relation_of2_as_subset_type, type, relation_of2_as_subset: $i > $i > $i > $o).
% 0.53/0.89 thf(apply_type, type, apply: $i > $i > $i).
% 0.53/0.89 thf(sk__20_type, type, sk__20: $i).
% 0.53/0.89 thf(quasi_total_type, type, quasi_total: $i > $i > $i > $o).
% 0.53/0.89 thf(function_type, type, function: $i > $o).
% 0.53/0.89 thf(sk__21_type, type, sk__21: $i).
% 0.53/0.89 thf(powerset_type, type, powerset: $i > $i).
% 0.53/0.89 thf(sk__18_type, type, sk__18: $i).
% 0.53/0.89 thf(relation_dom_type, type, relation_dom: $i > $i).
% 0.53/0.89 thf(in_type, type, in: $i > $i > $o).
% 0.53/0.89 thf(element_type, type, element: $i > $i > $o).
% 0.53/0.89 thf(zip_tseitin_0_type, type, zip_tseitin_0: $i > $i > $o).
% 0.53/0.89 thf(sk__22_type, type, sk__22: $i).
% 0.53/0.89 thf(relation_dom_as_subset_type, type, relation_dom_as_subset: $i > $i > $i > $i).
% 0.53/0.89 thf(cartesian_product2_type, type, cartesian_product2: $i > $i > $i).
% 0.53/0.89 thf(relation_type, type, relation: $i > $o).
% 0.53/0.89 thf(relation_of2_type, type, relation_of2: $i > $i > $i > $o).
% 0.53/0.89 thf(relation_inverse_image_type, type, relation_inverse_image: $i > $i > $i).
% 0.53/0.89 thf(empty_set_type, type, empty_set: $i).
% 0.53/0.89 thf(sk__19_type, type, sk__19: $i).
% 0.53/0.89 thf(zip_tseitin_1_type, type, zip_tseitin_1: $i > $i > $i > $o).
% 0.53/0.89 thf(t46_funct_2, conjecture,
% 0.53/0.89 (![A:$i,B:$i,C:$i,D:$i]:
% 0.53/0.89 ( ( ( function @ D ) & ( quasi_total @ D @ A @ B ) &
% 0.53/0.89 ( relation_of2_as_subset @ D @ A @ B ) ) =>
% 0.53/0.89 ( ( ( B ) != ( empty_set ) ) =>
% 0.53/0.89 ( ![E:$i]:
% 0.53/0.89 ( ( in @ E @ ( relation_inverse_image @ D @ C ) ) <=>
% 0.53/0.89 ( ( in @ E @ A ) & ( in @ ( apply @ D @ E ) @ C ) ) ) ) ) ))).
% 0.53/0.89 thf(zf_stmt_0, negated_conjecture,
% 0.53/0.89 (~( ![A:$i,B:$i,C:$i,D:$i]:
% 0.53/0.89 ( ( ( function @ D ) & ( quasi_total @ D @ A @ B ) &
% 0.53/0.89 ( relation_of2_as_subset @ D @ A @ B ) ) =>
% 0.53/0.89 ( ( ( B ) != ( empty_set ) ) =>
% 0.53/0.89 ( ![E:$i]:
% 0.53/0.89 ( ( in @ E @ ( relation_inverse_image @ D @ C ) ) <=>
% 0.53/0.89 ( ( in @ E @ A ) & ( in @ ( apply @ D @ E ) @ C ) ) ) ) ) ) )),
% 0.53/0.89 inference('cnf.neg', [status(esa)], [t46_funct_2])).
% 0.53/0.89 thf(zip_derived_cl88, plain,
% 0.53/0.89 ((~ (in @ (apply @ sk__21 @ sk__22) @ sk__20)
% 0.53/0.89 | ~ (in @ sk__22 @ sk__18)
% 0.53/0.89 | ~ (in @ sk__22 @ (relation_inverse_image @ sk__21 @ sk__20)))),
% 0.53/0.89 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.53/0.89 thf(zip_derived_cl87, plain,
% 0.53/0.89 (( (in @ (apply @ sk__21 @ sk__22) @ sk__20)
% 0.53/0.89 | (in @ sk__22 @ (relation_inverse_image @ sk__21 @ sk__20)))),
% 0.53/0.89 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.53/0.89 thf(d13_funct_1, axiom,
% 0.53/0.89 (![A:$i]:
% 0.53/0.89 ( ( ( relation @ A ) & ( function @ A ) ) =>
% 0.53/0.89 ( ![B:$i,C:$i]:
% 0.53/0.89 ( ( ( C ) = ( relation_inverse_image @ A @ B ) ) <=>
% 0.53/0.89 ( ![D:$i]:
% 0.53/0.89 ( ( in @ D @ C ) <=>
% 0.53/0.89 ( ( in @ D @ ( relation_dom @ A ) ) &
% 0.53/0.89 ( in @ ( apply @ A @ D ) @ B ) ) ) ) ) ) ))).
% 0.53/0.89 thf(zip_derived_cl12, plain,
% 0.53/0.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.53/0.89 (((X2) != (relation_inverse_image @ X0 @ X1))
% 0.53/0.89 | (in @ X3 @ X2)
% 0.53/0.89 | ~ (in @ (apply @ X0 @ X3) @ X1)
% 0.53/0.89 | ~ (in @ X3 @ (relation_dom @ X0))
% 0.53/0.89 | ~ (function @ X0)
% 0.53/0.89 | ~ (relation @ X0))),
% 0.53/0.89 inference('cnf', [status(esa)], [d13_funct_1])).
% 0.53/0.89 thf(zip_derived_cl703, plain,
% 0.53/0.89 (![X0 : $i]:
% 0.53/0.89 ( (in @ sk__22 @ (relation_inverse_image @ sk__21 @ sk__20))
% 0.53/0.89 | ~ (relation @ sk__21)
% 0.53/0.89 | ~ (function @ sk__21)
% 0.53/0.89 | ~ (in @ sk__22 @ (relation_dom @ sk__21))
% 0.53/0.89 | (in @ sk__22 @ X0)
% 0.53/0.89 | ((X0) != (relation_inverse_image @ sk__21 @ sk__20)))),
% 0.53/0.89 inference('sup-', [status(thm)], [zip_derived_cl87, zip_derived_cl12])).
% 0.53/0.89 thf(dt_m2_relset_1, axiom,
% 0.53/0.89 (![A:$i,B:$i,C:$i]:
% 0.53/0.89 ( ( relation_of2_as_subset @ C @ A @ B ) =>
% 0.53/0.89 ( element @ C @ ( powerset @ ( cartesian_product2 @ A @ B ) ) ) ))).
% 0.53/0.89 thf(zip_derived_cl29, plain,
% 0.53/0.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.53/0.89 ( (element @ X0 @ (powerset @ (cartesian_product2 @ X1 @ X2)))
% 0.53/0.89 | ~ (relation_of2_as_subset @ X0 @ X1 @ X2))),
% 0.53/0.89 inference('cnf', [status(esa)], [dt_m2_relset_1])).
% 0.53/0.89 thf(zip_derived_cl89, plain,
% 0.53/0.89 ( (relation_of2_as_subset @ sk__21 @ sk__18 @ sk__19)),
% 0.53/0.89 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.53/0.89 thf(zip_derived_cl637, plain,
% 0.53/0.89 ( (element @ sk__21 @ (powerset @ (cartesian_product2 @ sk__18 @ sk__19)))),
% 0.53/0.89 inference('sup+', [status(thm)], [zip_derived_cl29, zip_derived_cl89])).
% 0.53/0.89 thf(cc1_relset_1, axiom,
% 0.53/0.89 (![A:$i,B:$i,C:$i]:
% 0.53/0.89 ( ( element @ C @ ( powerset @ ( cartesian_product2 @ A @ B ) ) ) =>
% 0.53/0.89 ( relation @ C ) ))).
% 0.53/0.89 thf(zip_derived_cl3, plain,
% 0.53/0.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.53/0.89 ( (relation @ X0)
% 0.53/0.89 | ~ (element @ X0 @ (powerset @ (cartesian_product2 @ X1 @ X2))))),
% 0.53/0.89 inference('cnf', [status(esa)], [cc1_relset_1])).
% 0.53/0.89 thf(zip_derived_cl644, plain, ( (relation @ sk__21)),
% 0.53/0.89 inference('sup-', [status(thm)], [zip_derived_cl637, zip_derived_cl3])).
% 0.53/0.89 thf(zip_derived_cl91, plain, ( (function @ sk__21)),
% 0.53/0.89 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.53/0.89 thf(zip_derived_cl707, plain,
% 0.53/0.89 (![X0 : $i]:
% 0.53/0.89 ( (in @ sk__22 @ (relation_inverse_image @ sk__21 @ sk__20))
% 0.53/0.89 | ~ (in @ sk__22 @ (relation_dom @ sk__21))
% 0.53/0.89 | (in @ sk__22 @ X0)
% 0.53/0.89 | ((X0) != (relation_inverse_image @ sk__21 @ sk__20)))),
% 0.53/0.89 inference('demod', [status(thm)],
% 0.53/0.89 [zip_derived_cl703, zip_derived_cl644, zip_derived_cl91])).
% 0.53/0.89 thf(zip_derived_cl90, plain, ( (quasi_total @ sk__21 @ sk__18 @ sk__19)),
% 0.53/0.89 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.53/0.89 thf(d1_funct_2, axiom,
% 0.53/0.89 (![A:$i,B:$i,C:$i]:
% 0.53/0.89 ( ( relation_of2_as_subset @ C @ A @ B ) =>
% 0.53/0.89 ( ( ( ( B ) = ( empty_set ) ) =>
% 0.53/0.89 ( ( ( quasi_total @ C @ A @ B ) <=> ( ( C ) = ( empty_set ) ) ) |
% 0.53/0.89 ( ( A ) = ( empty_set ) ) ) ) &
% 0.53/0.89 ( ( ( ( B ) = ( empty_set ) ) => ( ( A ) = ( empty_set ) ) ) =>
% 0.53/0.89 ( ( quasi_total @ C @ A @ B ) <=>
% 0.53/0.89 ( ( A ) = ( relation_dom_as_subset @ A @ B @ C ) ) ) ) ) ))).
% 0.53/0.89 thf(zf_stmt_1, axiom,
% 0.53/0.89 (![B:$i,A:$i]:
% 0.53/0.89 ( ( ( ( B ) = ( empty_set ) ) => ( ( A ) = ( empty_set ) ) ) =>
% 0.53/0.89 ( zip_tseitin_0 @ B @ A ) ))).
% 0.53/0.89 thf(zip_derived_cl14, plain,
% 0.53/0.89 (![X0 : $i, X1 : $i]: ( (zip_tseitin_0 @ X0 @ X1) | ((X0) = (empty_set)))),
% 0.53/0.89 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.53/0.89 thf(zf_stmt_2, type, zip_tseitin_1 : $i > $i > $i > $o).
% 0.53/0.89 thf(zf_stmt_3, axiom,
% 0.53/0.89 (![C:$i,B:$i,A:$i]:
% 0.53/0.89 ( ( zip_tseitin_1 @ C @ B @ A ) =>
% 0.53/0.89 ( ( quasi_total @ C @ A @ B ) <=>
% 0.53/0.89 ( ( A ) = ( relation_dom_as_subset @ A @ B @ C ) ) ) ))).
% 0.53/0.89 thf(zf_stmt_4, type, zip_tseitin_0 : $i > $i > $o).
% 0.53/0.89 thf(zf_stmt_5, axiom,
% 0.53/0.89 (![A:$i,B:$i,C:$i]:
% 0.53/0.89 ( ( relation_of2_as_subset @ C @ A @ B ) =>
% 0.53/0.89 ( ( ( zip_tseitin_0 @ B @ A ) => ( zip_tseitin_1 @ C @ B @ A ) ) &
% 0.53/0.89 ( ( ( B ) = ( empty_set ) ) =>
% 0.53/0.89 ( ( ( A ) = ( empty_set ) ) |
% 0.53/0.89 ( ( quasi_total @ C @ A @ B ) <=> ( ( C ) = ( empty_set ) ) ) ) ) ) ))).
% 0.53/0.89 thf(zip_derived_cl17, plain,
% 0.53/0.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.53/0.89 (~ (zip_tseitin_0 @ X0 @ X1)
% 0.53/0.89 | (zip_tseitin_1 @ X2 @ X0 @ X1)
% 0.53/0.89 | ~ (relation_of2_as_subset @ X2 @ X1 @ X0))),
% 0.53/0.89 inference('cnf', [status(esa)], [zf_stmt_5])).
% 0.53/0.89 thf(zip_derived_cl405, plain,
% 0.53/0.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.53/0.89 (((X1) = (empty_set))
% 0.53/0.89 | ~ (relation_of2_as_subset @ X2 @ X0 @ X1)
% 0.53/0.89 | (zip_tseitin_1 @ X2 @ X1 @ X0))),
% 0.53/0.89 inference('dp-resolution', [status(thm)],
% 0.53/0.89 [zip_derived_cl14, zip_derived_cl17])).
% 0.53/0.89 thf(zip_derived_cl16, plain,
% 0.53/0.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.53/0.89 (~ (quasi_total @ X0 @ X1 @ X2)
% 0.53/0.89 | ((X1) = (relation_dom_as_subset @ X1 @ X2 @ X0))
% 0.53/0.89 | ~ (zip_tseitin_1 @ X0 @ X2 @ X1))),
% 0.53/0.89 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.53/0.89 thf(zip_derived_cl409, plain,
% 0.53/0.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.53/0.89 (~ (relation_of2_as_subset @ X2 @ X1 @ X0)
% 0.53/0.89 | ((X0) = (empty_set))
% 0.53/0.89 | ((X1) = (relation_dom_as_subset @ X1 @ X0 @ X2))
% 0.53/0.89 | ~ (quasi_total @ X2 @ X1 @ X0))),
% 0.53/0.89 inference('dp-resolution', [status(thm)],
% 0.53/0.89 [zip_derived_cl405, zip_derived_cl16])).
% 0.53/0.89 thf(zip_derived_cl423, plain,
% 0.53/0.89 ((((sk__18) = (relation_dom_as_subset @ sk__18 @ sk__19 @ sk__21))
% 0.53/0.89 | ((sk__19) = (empty_set))
% 0.53/0.89 | ~ (relation_of2_as_subset @ sk__21 @ sk__18 @ sk__19))),
% 0.53/0.89 inference('dp-resolution', [status(thm)],
% 0.53/0.89 [zip_derived_cl90, zip_derived_cl409])).
% 0.53/0.89 thf(zip_derived_cl89, plain,
% 0.53/0.89 ( (relation_of2_as_subset @ sk__21 @ sk__18 @ sk__19)),
% 0.53/0.89 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.53/0.89 thf(zip_derived_cl754, plain,
% 0.53/0.89 ((((sk__18) = (relation_dom_as_subset @ sk__18 @ sk__19 @ sk__21))
% 0.53/0.89 | ((sk__19) = (empty_set)))),
% 0.53/0.89 inference('demod', [status(thm)], [zip_derived_cl423, zip_derived_cl89])).
% 0.53/0.89 thf(zip_derived_cl92, plain, (((sk__19) != (empty_set))),
% 0.53/0.89 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.53/0.89 thf(zip_derived_cl755, plain,
% 0.53/0.89 (((sk__18) = (relation_dom_as_subset @ sk__18 @ sk__19 @ sk__21))),
% 0.53/0.89 inference('simplify_reflect-', [status(thm)],
% 0.53/0.89 [zip_derived_cl754, zip_derived_cl92])).
% 0.53/0.89 thf(redefinition_m2_relset_1, axiom,
% 0.53/0.89 (![A:$i,B:$i,C:$i]:
% 0.53/0.89 ( ( relation_of2_as_subset @ C @ A @ B ) <=> ( relation_of2 @ C @ A @ B ) ))).
% 0.53/0.89 thf(zip_derived_cl79, plain,
% 0.53/0.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.53/0.89 ( (relation_of2 @ X0 @ X1 @ X2)
% 0.53/0.89 | ~ (relation_of2_as_subset @ X0 @ X1 @ X2))),
% 0.53/0.89 inference('cnf', [status(esa)], [redefinition_m2_relset_1])).
% 0.53/0.89 thf(redefinition_k4_relset_1, axiom,
% 0.53/0.89 (![A:$i,B:$i,C:$i]:
% 0.53/0.89 ( ( relation_of2 @ C @ A @ B ) =>
% 0.53/0.89 ( ( relation_dom_as_subset @ A @ B @ C ) = ( relation_dom @ C ) ) ))).
% 0.53/0.89 thf(zip_derived_cl78, plain,
% 0.53/0.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.53/0.89 (((relation_dom_as_subset @ X1 @ X2 @ X0) = (relation_dom @ X0))
% 0.53/0.89 | ~ (relation_of2 @ X0 @ X1 @ X2))),
% 0.53/0.89 inference('cnf', [status(esa)], [redefinition_k4_relset_1])).
% 0.53/0.89 thf(zip_derived_cl414, plain,
% 0.53/0.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.53/0.89 (~ (relation_of2_as_subset @ X2 @ X1 @ X0)
% 0.53/0.89 | ((relation_dom_as_subset @ X1 @ X0 @ X2) = (relation_dom @ X2)))),
% 0.53/0.89 inference('dp-resolution', [status(thm)],
% 0.53/0.89 [zip_derived_cl79, zip_derived_cl78])).
% 0.53/0.89 thf(zip_derived_cl757, plain,
% 0.53/0.89 ((((sk__18) = (relation_dom @ sk__21))
% 0.53/0.89 | ~ (relation_of2_as_subset @ sk__21 @ sk__18 @ sk__19))),
% 0.53/0.89 inference('sup+', [status(thm)], [zip_derived_cl755, zip_derived_cl414])).
% 0.53/0.89 thf(zip_derived_cl89, plain,
% 0.53/0.89 ( (relation_of2_as_subset @ sk__21 @ sk__18 @ sk__19)),
% 0.53/0.89 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.53/0.89 thf(zip_derived_cl759, plain, (((sk__18) = (relation_dom @ sk__21))),
% 0.53/0.89 inference('demod', [status(thm)], [zip_derived_cl757, zip_derived_cl89])).
% 0.53/0.89 thf(zip_derived_cl835, plain,
% 0.53/0.89 (![X0 : $i]:
% 0.53/0.89 ( (in @ sk__22 @ (relation_inverse_image @ sk__21 @ sk__20))
% 0.53/0.89 | ~ (in @ sk__22 @ sk__18)
% 0.53/0.89 | (in @ sk__22 @ X0)
% 0.53/0.89 | ((X0) != (relation_inverse_image @ sk__21 @ sk__20)))),
% 0.53/0.89 inference('demod', [status(thm)], [zip_derived_cl707, zip_derived_cl759])).
% 0.53/0.89 thf(zip_derived_cl86, plain,
% 0.53/0.89 (( (in @ sk__22 @ sk__18)
% 0.53/0.89 | (in @ sk__22 @ (relation_inverse_image @ sk__21 @ sk__20)))),
% 0.53/0.89 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.53/0.89 thf(zip_derived_cl836, plain,
% 0.53/0.89 (![X0 : $i]:
% 0.53/0.89 (((X0) != (relation_inverse_image @ sk__21 @ sk__20))
% 0.53/0.89 | (in @ sk__22 @ X0)
% 0.53/0.89 | (in @ sk__22 @ (relation_inverse_image @ sk__21 @ sk__20)))),
% 0.53/0.89 inference('clc', [status(thm)], [zip_derived_cl835, zip_derived_cl86])).
% 0.53/0.89 thf(zip_derived_cl837, plain,
% 0.53/0.89 (( (in @ sk__22 @ (relation_inverse_image @ sk__21 @ sk__20))
% 0.53/0.89 | (in @ sk__22 @ (relation_inverse_image @ sk__21 @ sk__20)))),
% 0.53/0.89 inference('eq_res', [status(thm)], [zip_derived_cl836])).
% 0.53/0.89 thf(zip_derived_cl838, plain,
% 0.53/0.89 ( (in @ sk__22 @ (relation_inverse_image @ sk__21 @ sk__20))),
% 0.53/0.89 inference('simplify', [status(thm)], [zip_derived_cl837])).
% 0.53/0.89 thf(zip_derived_cl839, plain,
% 0.53/0.89 ((~ (in @ (apply @ sk__21 @ sk__22) @ sk__20) | ~ (in @ sk__22 @ sk__18))),
% 0.53/0.89 inference('demod', [status(thm)], [zip_derived_cl88, zip_derived_cl838])).
% 0.53/0.89 thf(zip_derived_cl838, plain,
% 0.53/0.89 ( (in @ sk__22 @ (relation_inverse_image @ sk__21 @ sk__20))),
% 0.53/0.89 inference('simplify', [status(thm)], [zip_derived_cl837])).
% 0.53/0.89 thf(zip_derived_cl10, plain,
% 0.53/0.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.53/0.89 (((X2) != (relation_inverse_image @ X0 @ X1))
% 0.53/0.89 | (in @ X3 @ (relation_dom @ X0))
% 0.53/0.89 | ~ (in @ X3 @ X2)
% 0.53/0.89 | ~ (function @ X0)
% 0.53/0.89 | ~ (relation @ X0))),
% 0.53/0.89 inference('cnf', [status(esa)], [d13_funct_1])).
% 0.53/0.89 thf(zip_derived_cl842, plain,
% 0.53/0.89 (![X0 : $i, X1 : $i]:
% 0.53/0.89 (~ (relation @ X0)
% 0.53/0.89 | ~ (function @ X0)
% 0.53/0.89 | (in @ sk__22 @ (relation_dom @ X0))
% 0.53/0.89 | ((relation_inverse_image @ sk__21 @ sk__20)
% 0.53/0.89 != (relation_inverse_image @ X0 @ X1)))),
% 0.53/0.89 inference('sup-', [status(thm)], [zip_derived_cl838, zip_derived_cl10])).
% 0.53/0.89 thf(zip_derived_cl845, plain,
% 0.53/0.89 (( (in @ sk__22 @ (relation_dom @ sk__21))
% 0.53/0.89 | ~ (function @ sk__21)
% 0.53/0.89 | ~ (relation @ sk__21))),
% 0.53/0.89 inference('eq_res', [status(thm)], [zip_derived_cl842])).
% 0.53/0.89 thf(zip_derived_cl759, plain, (((sk__18) = (relation_dom @ sk__21))),
% 0.53/0.89 inference('demod', [status(thm)], [zip_derived_cl757, zip_derived_cl89])).
% 0.53/0.89 thf(zip_derived_cl91, plain, ( (function @ sk__21)),
% 0.53/0.89 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.53/0.89 thf(zip_derived_cl644, plain, ( (relation @ sk__21)),
% 0.53/0.89 inference('sup-', [status(thm)], [zip_derived_cl637, zip_derived_cl3])).
% 0.53/0.89 thf(zip_derived_cl846, plain, ( (in @ sk__22 @ sk__18)),
% 0.53/0.89 inference('demod', [status(thm)],
% 0.53/0.89 [zip_derived_cl845, zip_derived_cl759, zip_derived_cl91,
% 0.53/0.89 zip_derived_cl644])).
% 0.53/0.89 thf(zip_derived_cl847, plain, (~ (in @ (apply @ sk__21 @ sk__22) @ sk__20)),
% 0.53/0.89 inference('demod', [status(thm)], [zip_derived_cl839, zip_derived_cl846])).
% 0.53/0.89 thf(zip_derived_cl838, plain,
% 0.53/0.89 ( (in @ sk__22 @ (relation_inverse_image @ sk__21 @ sk__20))),
% 0.53/0.89 inference('simplify', [status(thm)], [zip_derived_cl837])).
% 0.53/0.89 thf(zip_derived_cl11, plain,
% 0.53/0.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.53/0.89 (((X2) != (relation_inverse_image @ X0 @ X1))
% 0.53/0.89 | (in @ (apply @ X0 @ X3) @ X1)
% 0.53/0.89 | ~ (in @ X3 @ X2)
% 0.53/0.89 | ~ (function @ X0)
% 0.53/0.89 | ~ (relation @ X0))),
% 0.53/0.89 inference('cnf', [status(esa)], [d13_funct_1])).
% 0.53/0.89 thf(zip_derived_cl843, plain,
% 0.53/0.89 (![X0 : $i, X1 : $i]:
% 0.53/0.89 (~ (relation @ X0)
% 0.53/0.89 | ~ (function @ X0)
% 0.53/0.89 | (in @ (apply @ X0 @ sk__22) @ X1)
% 0.53/0.89 | ((relation_inverse_image @ sk__21 @ sk__20)
% 0.53/0.89 != (relation_inverse_image @ X0 @ X1)))),
% 0.53/0.89 inference('sup-', [status(thm)], [zip_derived_cl838, zip_derived_cl11])).
% 0.53/0.89 thf(zip_derived_cl857, plain,
% 0.53/0.89 (( (in @ (apply @ sk__21 @ sk__22) @ sk__20)
% 0.53/0.89 | ~ (function @ sk__21)
% 0.53/0.89 | ~ (relation @ sk__21))),
% 0.53/0.89 inference('eq_res', [status(thm)], [zip_derived_cl843])).
% 0.53/0.89 thf(zip_derived_cl91, plain, ( (function @ sk__21)),
% 0.53/0.89 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.53/0.89 thf(zip_derived_cl644, plain, ( (relation @ sk__21)),
% 0.53/0.89 inference('sup-', [status(thm)], [zip_derived_cl637, zip_derived_cl3])).
% 0.53/0.89 thf(zip_derived_cl858, plain, ( (in @ (apply @ sk__21 @ sk__22) @ sk__20)),
% 0.53/0.89 inference('demod', [status(thm)],
% 0.53/0.89 [zip_derived_cl857, zip_derived_cl91, zip_derived_cl644])).
% 0.53/0.89 thf(zip_derived_cl859, plain, ($false),
% 0.53/0.89 inference('demod', [status(thm)], [zip_derived_cl847, zip_derived_cl858])).
% 0.53/0.89
% 0.53/0.89 % SZS output end Refutation
% 0.53/0.89
% 0.53/0.89
% 0.53/0.89 % Terminating...
% 1.61/0.96 % Runner terminated.
% 1.61/0.98 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------