%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU292+2 : 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.spCx6HY5WG true
% Computer : n001.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 103.01s 15.47s
% Output : Refutation 103.01s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.11 % Problem : SEU292+2 : TPTP v9.2.0. Released v3.3.0.
% 0.05/0.12 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.spCx6HY5WG true
% 0.12/0.32 % Computer : n001.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Wed Oct 1 16:12:08 EDT 2025
% 0.12/0.32 % CPUTime :
% 0.12/0.32 % Running portfolio for 300 s
% 0.12/0.32 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.32 % Number of cores: 8
% 0.12/0.32 % Python version: Python 3.6.8
% 0.12/0.33 % Running in FO mode
% 0.44/0.61 % Total configuration time : 435
% 0.44/0.61 % Estimated wc time : 1092
% 0.44/0.61 % Estimated cpu time (7 cpus) : 156.0
% 0.50/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.50/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.50/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.50/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.50/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.50/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.50/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 103.01/15.47 % Solved by fo/fo6_bce.sh.
% 103.01/15.47 % BCE start: 1069
% 103.01/15.47 % BCE eliminated: 2
% 103.01/15.47 % PE start: 1067
% 103.01/15.47 logic: eq
% 103.01/15.47 % PE eliminated: 61
% 103.01/15.47 % done 2954 iterations in 14.709s
% 103.01/15.47 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 103.01/15.47 % SZS output start Refutation
% 103.01/15.47 thf(function_type, type, function: $i > $o).
% 103.01/15.47 thf(sk__230_type, type, sk__230: $i).
% 103.01/15.47 thf(apply_type, type, apply: $i > $i > $i).
% 103.01/15.47 thf(sk__229_type, type, sk__229: $i).
% 103.01/15.47 thf(sk__232_type, type, sk__232: $i).
% 103.01/15.47 thf(cartesian_product2_type, type, cartesian_product2: $i > $i > $i).
% 103.01/15.47 thf(in_type, type, in: $i > $i > $o).
% 103.01/15.47 thf(relation_composition_type, type, relation_composition: $i > $i > $i).
% 103.01/15.47 thf(relation_of2_as_subset_type, type, relation_of2_as_subset: $i > $i > $i > $o).
% 103.01/15.47 thf(sk__233_type, type, sk__233: $i).
% 103.01/15.47 thf(element_type, type, element: $i > $i > $o).
% 103.01/15.47 thf(zip_tseitin_3_type, type, zip_tseitin_3: $i > $i > $i > $o).
% 103.01/15.47 thf(relation_dom_type, type, relation_dom: $i > $i).
% 103.01/15.47 thf(relation_dom_as_subset_type, type, relation_dom_as_subset: $i > $i > $i > $i).
% 103.01/15.47 thf(quasi_total_type, type, quasi_total: $i > $i > $i > $o).
% 103.01/15.47 thf(sk__231_type, type, sk__231: $i).
% 103.01/15.47 thf(empty_set_type, type, empty_set: $i).
% 103.01/15.47 thf(zip_tseitin_2_type, type, zip_tseitin_2: $i > $i > $o).
% 103.01/15.47 thf(powerset_type, type, powerset: $i > $i).
% 103.01/15.47 thf(relation_type, type, relation: $i > $o).
% 103.01/15.47 thf(relation_of2_type, type, relation_of2: $i > $i > $i > $o).
% 103.01/15.47 thf(t23_funct_1, axiom,
% 103.01/15.47 (![A:$i,B:$i]:
% 103.01/15.47 ( ( ( relation @ B ) & ( function @ B ) ) =>
% 103.01/15.47 ( ![C:$i]:
% 103.01/15.47 ( ( ( relation @ C ) & ( function @ C ) ) =>
% 103.01/15.47 ( ( in @ A @ ( relation_dom @ B ) ) =>
% 103.01/15.47 ( ( apply @ ( relation_composition @ B @ C ) @ A ) =
% 103.01/15.47 ( apply @ C @ ( apply @ B @ A ) ) ) ) ) ) ))).
% 103.01/15.47 thf(zip_derived_cl868, plain,
% 103.01/15.47 (![X0 : $i, X1 : $i, X2 : $i]:
% 103.01/15.47 (~ (relation @ X0)
% 103.01/15.47 | ~ (function @ X0)
% 103.01/15.47 | ((apply @ (relation_composition @ X1 @ X0) @ X2)
% 103.01/15.47 = (apply @ X0 @ (apply @ X1 @ X2)))
% 103.01/15.47 | ~ (in @ X2 @ (relation_dom @ X1))
% 103.01/15.47 | ~ (function @ X1)
% 103.01/15.47 | ~ (relation @ X1))),
% 103.01/15.47 inference('cnf', [status(esa)], [t23_funct_1])).
% 103.01/15.47 thf(t21_funct_2, conjecture,
% 103.01/15.47 (![A:$i,B:$i,C:$i,D:$i]:
% 103.01/15.47 ( ( ( function @ D ) & ( quasi_total @ D @ A @ B ) &
% 103.01/15.47 ( relation_of2_as_subset @ D @ A @ B ) ) =>
% 103.01/15.47 ( ![E:$i]:
% 103.01/15.47 ( ( ( relation @ E ) & ( function @ E ) ) =>
% 103.01/15.47 ( ( in @ C @ A ) =>
% 103.01/15.47 ( ( ( B ) = ( empty_set ) ) |
% 103.01/15.47 ( ( apply @ ( relation_composition @ D @ E ) @ C ) =
% 103.01/15.47 ( apply @ E @ ( apply @ D @ C ) ) ) ) ) ) ) ))).
% 103.01/15.47 thf(zf_stmt_0, negated_conjecture,
% 103.01/15.47 (~( ![A:$i,B:$i,C:$i,D:$i]:
% 103.01/15.47 ( ( ( function @ D ) & ( quasi_total @ D @ A @ B ) &
% 103.01/15.47 ( relation_of2_as_subset @ D @ A @ B ) ) =>
% 103.01/15.47 ( ![E:$i]:
% 103.01/15.47 ( ( ( relation @ E ) & ( function @ E ) ) =>
% 103.01/15.47 ( ( in @ C @ A ) =>
% 103.01/15.47 ( ( ( B ) = ( empty_set ) ) |
% 103.01/15.47 ( ( apply @ ( relation_composition @ D @ E ) @ C ) =
% 103.01/15.47 ( apply @ E @ ( apply @ D @ C ) ) ) ) ) ) ) ) )),
% 103.01/15.47 inference('cnf.neg', [status(esa)], [t21_funct_2])).
% 103.01/15.47 thf(zip_derived_cl857, plain,
% 103.01/15.47 (((apply @ (relation_composition @ sk__232 @ sk__233) @ sk__231)
% 103.01/15.47 != (apply @ sk__233 @ (apply @ sk__232 @ sk__231)))),
% 103.01/15.47 inference('cnf', [status(esa)], [zf_stmt_0])).
% 103.01/15.47 thf(zip_derived_cl17856, plain,
% 103.01/15.47 ((~ (relation @ sk__232)
% 103.01/15.47 | ~ (function @ sk__232)
% 103.01/15.47 | ~ (in @ sk__231 @ (relation_dom @ sk__232))
% 103.01/15.47 | ~ (function @ sk__233)
% 103.01/15.47 | ~ (relation @ sk__233)
% 103.01/15.47 | ((apply @ sk__233 @ (apply @ sk__232 @ sk__231))
% 103.01/15.47 != (apply @ sk__233 @ (apply @ sk__232 @ sk__231))))),
% 103.01/15.47 inference('s_sup-', [status(thm)], [zip_derived_cl868, zip_derived_cl857])).
% 103.01/15.47 thf(zip_derived_cl854, plain,
% 103.01/15.47 ( (relation_of2_as_subset @ sk__232 @ sk__229 @ sk__230)),
% 103.01/15.47 inference('cnf', [status(esa)], [zf_stmt_0])).
% 103.01/15.47 thf(dt_m2_relset_1, axiom,
% 103.01/15.47 (![A:$i,B:$i,C:$i]:
% 103.01/15.47 ( ( relation_of2_as_subset @ C @ A @ B ) =>
% 103.01/15.47 ( element @ C @ ( powerset @ ( cartesian_product2 @ A @ B ) ) ) ))).
% 103.01/15.47 thf(zip_derived_cl352, plain,
% 103.01/15.47 (![X0 : $i, X1 : $i, X2 : $i]:
% 103.01/15.47 ( (element @ X0 @ (powerset @ (cartesian_product2 @ X1 @ X2)))
% 103.01/15.47 | ~ (relation_of2_as_subset @ X0 @ X1 @ X2))),
% 103.01/15.47 inference('cnf', [status(esa)], [dt_m2_relset_1])).
% 103.01/15.47 thf(cc1_relset_1, axiom,
% 103.01/15.47 (![A:$i,B:$i,C:$i]:
% 103.01/15.47 ( ( element @ C @ ( powerset @ ( cartesian_product2 @ A @ B ) ) ) =>
% 103.01/15.47 ( relation @ C ) ))).
% 103.01/15.47 thf(zip_derived_cl6, plain,
% 103.01/15.47 (![X0 : $i, X1 : $i, X2 : $i]:
% 103.01/15.47 ( (relation @ X0)
% 103.01/15.47 | ~ (element @ X0 @ (powerset @ (cartesian_product2 @ X1 @ X2))))),
% 103.01/15.47 inference('cnf', [status(esa)], [cc1_relset_1])).
% 103.01/15.47 thf(zip_derived_cl9986, plain,
% 103.01/15.47 (![X0 : $i, X1 : $i, X2 : $i]:
% 103.01/15.47 (~ (relation_of2_as_subset @ X2 @ X1 @ X0) | (relation @ X2))),
% 103.01/15.47 inference('s_sup-', [status(thm)], [zip_derived_cl352, zip_derived_cl6])).
% 103.01/15.47 thf(zip_derived_cl9993, plain, ( (relation @ sk__232)),
% 103.01/15.47 inference('s_sup-', [status(thm)],
% 103.01/15.47 [zip_derived_cl854, zip_derived_cl9986])).
% 103.01/15.47 thf(zip_derived_cl852, plain, ( (function @ sk__232)),
% 103.01/15.47 inference('cnf', [status(esa)], [zf_stmt_0])).
% 103.01/15.47 thf(zip_derived_cl858, plain, ( (function @ sk__233)),
% 103.01/15.47 inference('cnf', [status(esa)], [zf_stmt_0])).
% 103.01/15.47 thf(zip_derived_cl859, plain, ( (relation @ sk__233)),
% 103.01/15.47 inference('cnf', [status(esa)], [zf_stmt_0])).
% 103.01/15.47 thf(zip_derived_cl17863, plain,
% 103.01/15.47 ((~ (in @ sk__231 @ (relation_dom @ sk__232))
% 103.01/15.47 | ((apply @ sk__233 @ (apply @ sk__232 @ sk__231))
% 103.01/15.47 != (apply @ sk__233 @ (apply @ sk__232 @ sk__231))))),
% 103.01/15.47 inference('demod', [status(thm)],
% 103.01/15.47 [zip_derived_cl17856, zip_derived_cl9993, zip_derived_cl852,
% 103.01/15.47 zip_derived_cl858, zip_derived_cl859])).
% 103.01/15.47 thf(zip_derived_cl17864, plain,
% 103.01/15.47 (~ (in @ sk__231 @ (relation_dom @ sk__232))),
% 103.01/15.47 inference('simplify', [status(thm)], [zip_derived_cl17863])).
% 103.01/15.47 thf(d1_funct_2, axiom,
% 103.01/15.47 (![A:$i,B:$i,C:$i]:
% 103.01/15.47 ( ( relation_of2_as_subset @ C @ A @ B ) =>
% 103.01/15.47 ( ( ( ( B ) = ( empty_set ) ) =>
% 103.01/15.47 ( ( ( quasi_total @ C @ A @ B ) <=> ( ( C ) = ( empty_set ) ) ) |
% 103.01/15.47 ( ( A ) = ( empty_set ) ) ) ) &
% 103.01/15.47 ( ( ( ( B ) = ( empty_set ) ) => ( ( A ) = ( empty_set ) ) ) =>
% 103.01/15.47 ( ( quasi_total @ C @ A @ B ) <=>
% 103.01/15.47 ( ( A ) = ( relation_dom_as_subset @ A @ B @ C ) ) ) ) ) ))).
% 103.01/15.47 thf(zf_stmt_1, axiom,
% 103.01/15.47 (![B:$i,A:$i]:
% 103.01/15.47 ( ( ( ( B ) = ( empty_set ) ) => ( ( A ) = ( empty_set ) ) ) =>
% 103.01/15.47 ( zip_tseitin_2 @ B @ A ) ))).
% 103.01/15.47 thf(zip_derived_cl84, plain,
% 103.01/15.47 (![X0 : $i, X1 : $i]: ( (zip_tseitin_2 @ X0 @ X1) | ((X0) = (empty_set)))),
% 103.01/15.47 inference('cnf', [status(esa)], [zf_stmt_1])).
% 103.01/15.47 thf(zf_stmt_2, type, zip_tseitin_3 : $i > $i > $i > $o).
% 103.01/15.47 thf(zf_stmt_3, axiom,
% 103.01/15.47 (![C:$i,B:$i,A:$i]:
% 103.01/15.47 ( ( zip_tseitin_3 @ C @ B @ A ) =>
% 103.01/15.47 ( ( quasi_total @ C @ A @ B ) <=>
% 103.01/15.47 ( ( A ) = ( relation_dom_as_subset @ A @ B @ C ) ) ) ))).
% 103.01/15.47 thf(zf_stmt_4, type, zip_tseitin_2 : $i > $i > $o).
% 103.01/15.47 thf(zf_stmt_5, axiom,
% 103.01/15.47 (![A:$i,B:$i,C:$i]:
% 103.01/15.47 ( ( relation_of2_as_subset @ C @ A @ B ) =>
% 103.01/15.47 ( ( ( zip_tseitin_2 @ B @ A ) => ( zip_tseitin_3 @ C @ B @ A ) ) &
% 103.01/15.47 ( ( ( B ) = ( empty_set ) ) =>
% 103.01/15.47 ( ( ( A ) = ( empty_set ) ) |
% 103.01/15.47 ( ( quasi_total @ C @ A @ B ) <=> ( ( C ) = ( empty_set ) ) ) ) ) ) ))).
% 103.01/15.47 thf(zip_derived_cl87, plain,
% 103.01/15.47 (![X0 : $i, X1 : $i, X2 : $i]:
% 103.01/15.47 (~ (zip_tseitin_2 @ X0 @ X1)
% 103.01/15.47 | (zip_tseitin_3 @ X2 @ X0 @ X1)
% 103.01/15.47 | ~ (relation_of2_as_subset @ X2 @ X1 @ X0))),
% 103.01/15.47 inference('cnf', [status(esa)], [zf_stmt_5])).
% 103.01/15.47 thf(zip_derived_cl4705, plain,
% 103.01/15.47 (![X0 : $i, X1 : $i, X2 : $i]:
% 103.01/15.47 (((X1) = (empty_set))
% 103.01/15.47 | ~ (relation_of2_as_subset @ X2 @ X0 @ X1)
% 103.01/15.47 | (zip_tseitin_3 @ X2 @ X1 @ X0))),
% 103.01/15.47 inference('dp-resolution', [status(thm)],
% 103.01/15.47 [zip_derived_cl84, zip_derived_cl87])).
% 103.01/15.47 thf(zip_derived_cl853, plain, ( (quasi_total @ sk__232 @ sk__229 @ sk__230)),
% 103.01/15.47 inference('cnf', [status(esa)], [zf_stmt_0])).
% 103.01/15.47 thf(zip_derived_cl86, plain,
% 103.01/15.47 (![X0 : $i, X1 : $i, X2 : $i]:
% 103.01/15.47 (~ (quasi_total @ X0 @ X1 @ X2)
% 103.01/15.47 | ((X1) = (relation_dom_as_subset @ X1 @ X2 @ X0))
% 103.01/15.47 | ~ (zip_tseitin_3 @ X0 @ X2 @ X1))),
% 103.01/15.47 inference('cnf', [status(esa)], [zf_stmt_3])).
% 103.01/15.47 thf(zip_derived_cl6137, plain,
% 103.01/15.47 ((((sk__229) = (relation_dom_as_subset @ sk__229 @ sk__230 @ sk__232))
% 103.01/15.47 | ~ (zip_tseitin_3 @ sk__232 @ sk__230 @ sk__229))),
% 103.01/15.47 inference('s_sup-', [status(thm)], [zip_derived_cl853, zip_derived_cl86])).
% 103.01/15.47 thf(zip_derived_cl25405, plain,
% 103.01/15.47 ((~ (relation_of2_as_subset @ sk__232 @ sk__229 @ sk__230)
% 103.01/15.47 | ((sk__230) = (empty_set))
% 103.01/15.47 | ((sk__229) = (relation_dom_as_subset @ sk__229 @ sk__230 @ sk__232)))),
% 103.01/15.47 inference('s_sup-', [status(thm)],
% 103.01/15.47 [zip_derived_cl4705, zip_derived_cl6137])).
% 103.01/15.47 thf(zip_derived_cl854, plain,
% 103.01/15.47 ( (relation_of2_as_subset @ sk__232 @ sk__229 @ sk__230)),
% 103.01/15.47 inference('cnf', [status(esa)], [zf_stmt_0])).
% 103.01/15.47 thf(zip_derived_cl25406, plain,
% 103.01/15.47 ((((sk__230) = (empty_set))
% 103.01/15.47 | ((sk__229) = (relation_dom_as_subset @ sk__229 @ sk__230 @ sk__232)))),
% 103.01/15.47 inference('demod', [status(thm)],
% 103.01/15.47 [zip_derived_cl25405, zip_derived_cl854])).
% 103.01/15.47 thf(zip_derived_cl856, plain, (((sk__230) != (empty_set))),
% 103.01/15.47 inference('cnf', [status(esa)], [zf_stmt_0])).
% 103.01/15.47 thf(zip_derived_cl25407, plain,
% 103.01/15.47 (((sk__229) = (relation_dom_as_subset @ sk__229 @ sk__230 @ sk__232))),
% 103.01/15.47 inference('simplify_reflect-', [status(thm)],
% 103.01/15.47 [zip_derived_cl25406, zip_derived_cl856])).
% 103.01/15.47 thf(redefinition_m2_relset_1, axiom,
% 103.01/15.47 (![A:$i,B:$i,C:$i]:
% 103.01/15.47 ( ( relation_of2_as_subset @ C @ A @ B ) <=> ( relation_of2 @ C @ A @ B ) ))).
% 103.01/15.47 thf(zip_derived_cl513, plain,
% 103.01/15.47 (![X0 : $i, X1 : $i, X2 : $i]:
% 103.01/15.47 ( (relation_of2 @ X0 @ X1 @ X2)
% 103.01/15.47 | ~ (relation_of2_as_subset @ X0 @ X1 @ X2))),
% 103.01/15.47 inference('cnf', [status(esa)], [redefinition_m2_relset_1])).
% 103.01/15.47 thf(redefinition_k4_relset_1, axiom,
% 103.01/15.47 (![A:$i,B:$i,C:$i]:
% 103.01/15.47 ( ( relation_of2 @ C @ A @ B ) =>
% 103.01/15.47 ( ( relation_dom_as_subset @ A @ B @ C ) = ( relation_dom @ C ) ) ))).
% 103.01/15.47 thf(zip_derived_cl508, plain,
% 103.01/15.47 (![X0 : $i, X1 : $i, X2 : $i]:
% 103.01/15.47 (((relation_dom_as_subset @ X1 @ X2 @ X0) = (relation_dom @ X0))
% 103.01/15.47 | ~ (relation_of2 @ X0 @ X1 @ X2))),
% 103.01/15.47 inference('cnf', [status(esa)], [redefinition_k4_relset_1])).
% 103.01/15.47 thf(zip_derived_cl5333, plain,
% 103.01/15.47 (![X0 : $i, X1 : $i, X2 : $i]:
% 103.01/15.47 (~ (relation_of2_as_subset @ X2 @ X1 @ X0)
% 103.01/15.47 | ((relation_dom_as_subset @ X1 @ X0 @ X2) = (relation_dom @ X2)))),
% 103.01/15.47 inference('dp-resolution', [status(thm)],
% 103.01/15.47 [zip_derived_cl513, zip_derived_cl508])).
% 103.01/15.47 thf(zip_derived_cl34341, plain,
% 103.01/15.47 ((~ (relation_of2_as_subset @ sk__232 @ sk__229 @ sk__230)
% 103.01/15.47 | ((sk__229) = (relation_dom @ sk__232)))),
% 103.01/15.47 inference('s_sup+', [status(thm)],
% 103.01/15.47 [zip_derived_cl25407, zip_derived_cl5333])).
% 103.01/15.47 thf(zip_derived_cl854, plain,
% 103.01/15.47 ( (relation_of2_as_subset @ sk__232 @ sk__229 @ sk__230)),
% 103.01/15.47 inference('cnf', [status(esa)], [zf_stmt_0])).
% 103.01/15.47 thf(zip_derived_cl34342, plain, (((sk__229) = (relation_dom @ sk__232))),
% 103.01/15.47 inference('demod', [status(thm)],
% 103.01/15.47 [zip_derived_cl34341, zip_derived_cl854])).
% 103.01/15.47 thf(zip_derived_cl855, plain, ( (in @ sk__231 @ sk__229)),
% 103.01/15.47 inference('cnf', [status(esa)], [zf_stmt_0])).
% 103.01/15.47 thf(zip_derived_cl34348, plain, ($false),
% 103.01/15.47 inference('demod', [status(thm)],
% 103.01/15.47 [zip_derived_cl17864, zip_derived_cl34342, zip_derived_cl855])).
% 103.01/15.47
% 103.01/15.47 % SZS output end Refutation
% 103.01/15.47
% 103.01/15.47
% 103.01/15.47 % Terminating...
% 103.64/15.63 % Runner terminated.
% 103.64/15.65 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------