%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU292+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.AiQbEP2aGs true
% Computer : n019.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 04:54:07 PM UTC 2025
% Result : Theorem 0.53s 0.83s
% Output : Refutation 0.53s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SEU292+1 : TPTP v9.2.0. Released v3.3.0.
% 0.06/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.AiQbEP2aGs true
% 0.12/0.33 % Computer : n019.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Wed Oct 1 16:09:38 EDT 2025
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % Running portfolio for 300 s
% 0.12/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.34 % Number of cores: 8
% 0.12/0.34 % Python version: Python 3.6.8
% 0.12/0.34 % 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
% 0.52/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.52/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.52/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.52/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.52/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.52/0.73 % /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
% 0.53/0.83 % Solved by fo/fo3_bce.sh.
% 0.53/0.83 % BCE start: 100
% 0.53/0.83 % BCE eliminated: 6
% 0.53/0.83 % PE start: 94
% 0.53/0.83 logic: eq
% 0.53/0.83 % PE eliminated: 7
% 0.53/0.83 % done 146 iterations in 0.083s
% 0.53/0.83 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.53/0.83 % SZS output start Refutation
% 0.53/0.83 thf(empty_set_type, type, empty_set: $i).
% 0.53/0.83 thf(sk__18_type, type, sk__18: $i).
% 0.53/0.83 thf(zip_tseitin_0_type, type, zip_tseitin_0: $i > $i > $o).
% 0.53/0.83 thf(function_type, type, function: $i > $o).
% 0.53/0.83 thf(powerset_type, type, powerset: $i > $i).
% 0.53/0.83 thf(in_type, type, in: $i > $i > $o).
% 0.53/0.83 thf(quasi_total_type, type, quasi_total: $i > $i > $i > $o).
% 0.53/0.83 thf(sk__19_type, type, sk__19: $i).
% 0.53/0.83 thf(element_type, type, element: $i > $i > $o).
% 0.53/0.83 thf(relation_of2_as_subset_type, type, relation_of2_as_subset: $i > $i > $i > $o).
% 0.53/0.83 thf(relation_dom_as_subset_type, type, relation_dom_as_subset: $i > $i > $i > $i).
% 0.53/0.83 thf(relation_dom_type, type, relation_dom: $i > $i).
% 0.53/0.83 thf(apply_type, type, apply: $i > $i > $i).
% 0.53/0.83 thf(relation_composition_type, type, relation_composition: $i > $i > $i).
% 0.53/0.83 thf(cartesian_product2_type, type, cartesian_product2: $i > $i > $i).
% 0.53/0.83 thf(relation_of2_type, type, relation_of2: $i > $i > $i > $o).
% 0.53/0.83 thf(relation_type, type, relation: $i > $o).
% 0.53/0.83 thf(sk__17_type, type, sk__17: $i).
% 0.53/0.83 thf(zip_tseitin_1_type, type, zip_tseitin_1: $i > $i > $i > $o).
% 0.53/0.83 thf(sk__21_type, type, sk__21: $i).
% 0.53/0.83 thf(sk__20_type, type, sk__20: $i).
% 0.53/0.83 thf(t23_funct_1, axiom,
% 0.53/0.83 (![A:$i,B:$i]:
% 0.53/0.83 ( ( ( relation @ B ) & ( function @ B ) ) =>
% 0.53/0.83 ( ![C:$i]:
% 0.53/0.83 ( ( ( relation @ C ) & ( function @ C ) ) =>
% 0.53/0.83 ( ( in @ A @ ( relation_dom @ B ) ) =>
% 0.53/0.83 ( ( apply @ ( relation_composition @ B @ C ) @ A ) =
% 0.53/0.83 ( apply @ C @ ( apply @ B @ A ) ) ) ) ) ) ))).
% 0.53/0.83 thf(zip_derived_cl91, plain,
% 0.53/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.53/0.83 (~ (relation @ X0)
% 0.53/0.83 | ~ (function @ X0)
% 0.53/0.83 | ((apply @ (relation_composition @ X1 @ X0) @ X2)
% 0.53/0.83 = (apply @ X0 @ (apply @ X1 @ X2)))
% 0.53/0.83 | ~ (in @ X2 @ (relation_dom @ X1))
% 0.53/0.83 | ~ (function @ X1)
% 0.53/0.83 | ~ (relation @ X1))),
% 0.53/0.83 inference('cnf', [status(esa)], [t23_funct_1])).
% 0.53/0.83 thf(t21_funct_2, conjecture,
% 0.53/0.83 (![A:$i,B:$i,C:$i,D:$i]:
% 0.53/0.83 ( ( ( function @ D ) & ( quasi_total @ D @ A @ B ) &
% 0.53/0.83 ( relation_of2_as_subset @ D @ A @ B ) ) =>
% 0.53/0.83 ( ![E:$i]:
% 0.53/0.83 ( ( ( relation @ E ) & ( function @ E ) ) =>
% 0.53/0.83 ( ( in @ C @ A ) =>
% 0.53/0.83 ( ( ( B ) = ( empty_set ) ) |
% 0.53/0.83 ( ( apply @ ( relation_composition @ D @ E ) @ C ) =
% 0.53/0.83 ( apply @ E @ ( apply @ D @ C ) ) ) ) ) ) ) ))).
% 0.53/0.83 thf(zf_stmt_0, negated_conjecture,
% 0.53/0.83 (~( ![A:$i,B:$i,C:$i,D:$i]:
% 0.53/0.83 ( ( ( function @ D ) & ( quasi_total @ D @ A @ B ) &
% 0.53/0.83 ( relation_of2_as_subset @ D @ A @ B ) ) =>
% 0.53/0.83 ( ![E:$i]:
% 0.53/0.83 ( ( ( relation @ E ) & ( function @ E ) ) =>
% 0.53/0.83 ( ( in @ C @ A ) =>
% 0.53/0.83 ( ( ( B ) = ( empty_set ) ) |
% 0.53/0.83 ( ( apply @ ( relation_composition @ D @ E ) @ C ) =
% 0.53/0.83 ( apply @ E @ ( apply @ D @ C ) ) ) ) ) ) ) ) )),
% 0.53/0.83 inference('cnf.neg', [status(esa)], [t21_funct_2])).
% 0.53/0.83 thf(zip_derived_cl88, plain,
% 0.53/0.83 (((apply @ (relation_composition @ sk__20 @ sk__21) @ sk__19)
% 0.53/0.83 != (apply @ sk__21 @ (apply @ sk__20 @ sk__19)))),
% 0.53/0.83 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.53/0.83 thf(zip_derived_cl659, plain,
% 0.53/0.83 ((((apply @ sk__21 @ (apply @ sk__20 @ sk__19))
% 0.53/0.83 != (apply @ sk__21 @ (apply @ sk__20 @ sk__19)))
% 0.53/0.83 | ~ (relation @ sk__20)
% 0.53/0.83 | ~ (function @ sk__20)
% 0.53/0.83 | ~ (in @ sk__19 @ (relation_dom @ sk__20))
% 0.53/0.83 | ~ (function @ sk__21)
% 0.53/0.83 | ~ (relation @ sk__21))),
% 0.53/0.83 inference('sup-', [status(thm)], [zip_derived_cl91, zip_derived_cl88])).
% 0.53/0.83 thf(dt_m2_relset_1, axiom,
% 0.53/0.83 (![A:$i,B:$i,C:$i]:
% 0.53/0.83 ( ( relation_of2_as_subset @ C @ A @ B ) =>
% 0.53/0.83 ( element @ C @ ( powerset @ ( cartesian_product2 @ A @ B ) ) ) ))).
% 0.53/0.83 thf(zip_derived_cl23, plain,
% 0.53/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.53/0.83 ( (element @ X0 @ (powerset @ (cartesian_product2 @ X1 @ X2)))
% 0.53/0.83 | ~ (relation_of2_as_subset @ X0 @ X1 @ X2))),
% 0.53/0.83 inference('cnf', [status(esa)], [dt_m2_relset_1])).
% 0.53/0.83 thf(zip_derived_cl85, plain,
% 0.53/0.83 ( (relation_of2_as_subset @ sk__20 @ sk__17 @ sk__18)),
% 0.53/0.83 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.53/0.83 thf(zip_derived_cl586, plain,
% 0.53/0.83 ( (element @ sk__20 @ (powerset @ (cartesian_product2 @ sk__17 @ sk__18)))),
% 0.53/0.83 inference('sup+', [status(thm)], [zip_derived_cl23, zip_derived_cl85])).
% 0.53/0.83 thf(cc1_relset_1, axiom,
% 0.53/0.83 (![A:$i,B:$i,C:$i]:
% 0.53/0.83 ( ( element @ C @ ( powerset @ ( cartesian_product2 @ A @ B ) ) ) =>
% 0.53/0.83 ( relation @ C ) ))).
% 0.53/0.83 thf(zip_derived_cl3, plain,
% 0.53/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.53/0.83 ( (relation @ X0)
% 0.53/0.83 | ~ (element @ X0 @ (powerset @ (cartesian_product2 @ X1 @ X2))))),
% 0.53/0.83 inference('cnf', [status(esa)], [cc1_relset_1])).
% 0.53/0.83 thf(zip_derived_cl630, plain, ( (relation @ sk__20)),
% 0.53/0.83 inference('sup-', [status(thm)], [zip_derived_cl586, zip_derived_cl3])).
% 0.53/0.83 thf(zip_derived_cl83, plain, ( (function @ sk__20)),
% 0.53/0.83 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.53/0.83 thf(zip_derived_cl89, plain, ( (function @ sk__21)),
% 0.53/0.83 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.53/0.83 thf(zip_derived_cl90, plain, ( (relation @ sk__21)),
% 0.53/0.83 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.53/0.83 thf(zip_derived_cl660, plain,
% 0.53/0.83 ((((apply @ sk__21 @ (apply @ sk__20 @ sk__19))
% 0.53/0.83 != (apply @ sk__21 @ (apply @ sk__20 @ sk__19)))
% 0.53/0.83 | ~ (in @ sk__19 @ (relation_dom @ sk__20)))),
% 0.53/0.83 inference('demod', [status(thm)],
% 0.53/0.83 [zip_derived_cl659, zip_derived_cl630, zip_derived_cl83,
% 0.53/0.83 zip_derived_cl89, zip_derived_cl90])).
% 0.53/0.83 thf(zip_derived_cl661, plain, (~ (in @ sk__19 @ (relation_dom @ sk__20))),
% 0.53/0.83 inference('simplify', [status(thm)], [zip_derived_cl660])).
% 0.53/0.83 thf(zip_derived_cl84, plain, ( (quasi_total @ sk__20 @ sk__17 @ sk__18)),
% 0.53/0.83 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.53/0.83 thf(d1_funct_2, axiom,
% 0.53/0.83 (![A:$i,B:$i,C:$i]:
% 0.53/0.83 ( ( relation_of2_as_subset @ C @ A @ B ) =>
% 0.53/0.83 ( ( ( ( B ) = ( empty_set ) ) =>
% 0.53/0.83 ( ( ( quasi_total @ C @ A @ B ) <=> ( ( C ) = ( empty_set ) ) ) |
% 0.53/0.83 ( ( A ) = ( empty_set ) ) ) ) &
% 0.53/0.83 ( ( ( ( B ) = ( empty_set ) ) => ( ( A ) = ( empty_set ) ) ) =>
% 0.53/0.83 ( ( quasi_total @ C @ A @ B ) <=>
% 0.53/0.83 ( ( A ) = ( relation_dom_as_subset @ A @ B @ C ) ) ) ) ) ))).
% 0.53/0.83 thf(zf_stmt_1, axiom,
% 0.53/0.83 (![B:$i,A:$i]:
% 0.53/0.83 ( ( ( ( B ) = ( empty_set ) ) => ( ( A ) = ( empty_set ) ) ) =>
% 0.53/0.83 ( zip_tseitin_0 @ B @ A ) ))).
% 0.53/0.83 thf(zip_derived_cl8, plain,
% 0.53/0.83 (![X0 : $i, X1 : $i]: ( (zip_tseitin_0 @ X0 @ X1) | ((X0) = (empty_set)))),
% 0.53/0.83 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.53/0.83 thf(zf_stmt_2, type, zip_tseitin_1 : $i > $i > $i > $o).
% 0.53/0.83 thf(zf_stmt_3, axiom,
% 0.53/0.83 (![C:$i,B:$i,A:$i]:
% 0.53/0.83 ( ( zip_tseitin_1 @ C @ B @ A ) =>
% 0.53/0.83 ( ( quasi_total @ C @ A @ B ) <=>
% 0.53/0.83 ( ( A ) = ( relation_dom_as_subset @ A @ B @ C ) ) ) ))).
% 0.53/0.83 thf(zf_stmt_4, type, zip_tseitin_0 : $i > $i > $o).
% 0.53/0.83 thf(zf_stmt_5, axiom,
% 0.53/0.83 (![A:$i,B:$i,C:$i]:
% 0.53/0.83 ( ( relation_of2_as_subset @ C @ A @ B ) =>
% 0.53/0.83 ( ( ( zip_tseitin_0 @ B @ A ) => ( zip_tseitin_1 @ C @ B @ A ) ) &
% 0.53/0.83 ( ( ( B ) = ( empty_set ) ) =>
% 0.53/0.83 ( ( ( A ) = ( empty_set ) ) |
% 0.53/0.83 ( ( quasi_total @ C @ A @ B ) <=> ( ( C ) = ( empty_set ) ) ) ) ) ) ))).
% 0.53/0.83 thf(zip_derived_cl11, plain,
% 0.53/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.53/0.83 (~ (zip_tseitin_0 @ X0 @ X1)
% 0.53/0.83 | (zip_tseitin_1 @ X2 @ X0 @ X1)
% 0.53/0.83 | ~ (relation_of2_as_subset @ X2 @ X1 @ X0))),
% 0.53/0.83 inference('cnf', [status(esa)], [zf_stmt_5])).
% 0.53/0.83 thf(zip_derived_cl401, plain,
% 0.53/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.53/0.83 (((X1) = (empty_set))
% 0.53/0.83 | ~ (relation_of2_as_subset @ X2 @ X0 @ X1)
% 0.53/0.83 | (zip_tseitin_1 @ X2 @ X1 @ X0))),
% 0.53/0.83 inference('dp-resolution', [status(thm)],
% 0.53/0.83 [zip_derived_cl8, zip_derived_cl11])).
% 0.53/0.83 thf(zip_derived_cl10, plain,
% 0.53/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.53/0.83 (~ (quasi_total @ X0 @ X1 @ X2)
% 0.53/0.83 | ((X1) = (relation_dom_as_subset @ X1 @ X2 @ X0))
% 0.53/0.83 | ~ (zip_tseitin_1 @ X0 @ X2 @ X1))),
% 0.53/0.83 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.53/0.83 thf(zip_derived_cl405, plain,
% 0.53/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.53/0.83 (~ (relation_of2_as_subset @ X2 @ X1 @ X0)
% 0.53/0.83 | ((X0) = (empty_set))
% 0.53/0.83 | ((X1) = (relation_dom_as_subset @ X1 @ X0 @ X2))
% 0.53/0.83 | ~ (quasi_total @ X2 @ X1 @ X0))),
% 0.53/0.83 inference('dp-resolution', [status(thm)],
% 0.53/0.83 [zip_derived_cl401, zip_derived_cl10])).
% 0.53/0.83 thf(zip_derived_cl419, plain,
% 0.53/0.83 ((((sk__17) = (relation_dom_as_subset @ sk__17 @ sk__18 @ sk__20))
% 0.53/0.83 | ((sk__18) = (empty_set))
% 0.53/0.83 | ~ (relation_of2_as_subset @ sk__20 @ sk__17 @ sk__18))),
% 0.53/0.83 inference('dp-resolution', [status(thm)],
% 0.53/0.83 [zip_derived_cl84, zip_derived_cl405])).
% 0.53/0.83 thf(zip_derived_cl85, plain,
% 0.53/0.83 ( (relation_of2_as_subset @ sk__20 @ sk__17 @ sk__18)),
% 0.53/0.83 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.53/0.83 thf(zip_derived_cl694, plain,
% 0.53/0.83 ((((sk__17) = (relation_dom_as_subset @ sk__17 @ sk__18 @ sk__20))
% 0.53/0.83 | ((sk__18) = (empty_set)))),
% 0.53/0.83 inference('demod', [status(thm)], [zip_derived_cl419, zip_derived_cl85])).
% 0.53/0.83 thf(zip_derived_cl87, plain, (((sk__18) != (empty_set))),
% 0.53/0.83 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.53/0.83 thf(zip_derived_cl695, plain,
% 0.53/0.83 (((sk__17) = (relation_dom_as_subset @ sk__17 @ sk__18 @ sk__20))),
% 0.53/0.83 inference('simplify_reflect-', [status(thm)],
% 0.53/0.83 [zip_derived_cl694, zip_derived_cl87])).
% 0.53/0.84 thf(redefinition_m2_relset_1, axiom,
% 0.53/0.84 (![A:$i,B:$i,C:$i]:
% 0.53/0.84 ( ( relation_of2_as_subset @ C @ A @ B ) <=> ( relation_of2 @ C @ A @ B ) ))).
% 0.53/0.84 thf(zip_derived_cl79, plain,
% 0.53/0.84 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.53/0.84 ( (relation_of2 @ X0 @ X1 @ X2)
% 0.53/0.84 | ~ (relation_of2_as_subset @ X0 @ X1 @ X2))),
% 0.53/0.84 inference('cnf', [status(esa)], [redefinition_m2_relset_1])).
% 0.53/0.84 thf(redefinition_k4_relset_1, axiom,
% 0.53/0.84 (![A:$i,B:$i,C:$i]:
% 0.53/0.84 ( ( relation_of2 @ C @ A @ B ) =>
% 0.53/0.84 ( ( relation_dom_as_subset @ A @ B @ C ) = ( relation_dom @ C ) ) ))).
% 0.53/0.84 thf(zip_derived_cl78, plain,
% 0.53/0.84 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.53/0.84 (((relation_dom_as_subset @ X1 @ X2 @ X0) = (relation_dom @ X0))
% 0.53/0.84 | ~ (relation_of2 @ X0 @ X1 @ X2))),
% 0.53/0.84 inference('cnf', [status(esa)], [redefinition_k4_relset_1])).
% 0.53/0.84 thf(zip_derived_cl410, plain,
% 0.53/0.84 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.53/0.84 (~ (relation_of2_as_subset @ X2 @ X1 @ X0)
% 0.53/0.84 | ((relation_dom_as_subset @ X1 @ X0 @ X2) = (relation_dom @ X2)))),
% 0.53/0.84 inference('dp-resolution', [status(thm)],
% 0.53/0.84 [zip_derived_cl79, zip_derived_cl78])).
% 0.53/0.84 thf(zip_derived_cl697, plain,
% 0.53/0.84 ((((sk__17) = (relation_dom @ sk__20))
% 0.53/0.84 | ~ (relation_of2_as_subset @ sk__20 @ sk__17 @ sk__18))),
% 0.53/0.84 inference('sup+', [status(thm)], [zip_derived_cl695, zip_derived_cl410])).
% 0.53/0.84 thf(zip_derived_cl85, plain,
% 0.53/0.84 ( (relation_of2_as_subset @ sk__20 @ sk__17 @ sk__18)),
% 0.53/0.84 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.53/0.84 thf(zip_derived_cl699, plain, (((sk__17) = (relation_dom @ sk__20))),
% 0.53/0.84 inference('demod', [status(thm)], [zip_derived_cl697, zip_derived_cl85])).
% 0.53/0.84 thf(zip_derived_cl86, plain, ( (in @ sk__19 @ sk__17)),
% 0.53/0.84 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.53/0.84 thf(zip_derived_cl702, plain, ($false),
% 0.53/0.84 inference('demod', [status(thm)],
% 0.53/0.84 [zip_derived_cl661, zip_derived_cl699, zip_derived_cl86])).
% 0.53/0.84
% 0.53/0.84 % SZS output end Refutation
% 0.53/0.84
% 0.53/0.84
% 0.53/0.84 % Terminating...
% 1.78/0.93 % Runner terminated.
% 1.78/0.95 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------