%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU290+1 : TPTP v9.2.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.BTVeoW2ztt true
% Computer : n008.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 0.58s 1.10s
% Output : Refutation 0.58s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SEU290+1 : TPTP v9.2.0. Released v3.3.0.
% 0.07/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.BTVeoW2ztt true
% 0.15/0.36 % Computer : n008.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Wed Oct 1 16:09:23 EDT 2025
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % Running portfolio for 300 s
% 0.15/0.36 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.36 % Number of cores: 8
% 0.15/0.36 % 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
% 0.56/0.72 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.56/0.73 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.56/0.74 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.56/0.74 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.56/0.75 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.57/0.79 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.57/0.79 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.58/1.10 % Solved by fo/fo5.sh.
% 0.58/1.10 % done 327 iterations in 0.258s
% 0.58/1.10 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.58/1.10 % SZS output start Refutation
% 0.58/1.10 thf(empty_set_type, type, empty_set: $i).
% 0.58/1.10 thf(relation_rng_type, type, relation_rng: $i > $i).
% 0.58/1.10 thf(relation_dom_type, type, relation_dom: $i > $i).
% 0.58/1.10 thf(function_type, type, function: $i > $o).
% 0.58/1.10 thf(powerset_type, type, powerset: $i > $i).
% 0.58/1.10 thf(in_type, type, in: $i > $i > $o).
% 0.58/1.10 thf(quasi_total_type, type, quasi_total: $i > $i > $i > $o).
% 0.58/1.10 thf(element_type, type, element: $i > $i > $o).
% 0.58/1.10 thf(apply_type, type, apply: $i > $i > $i).
% 0.58/1.10 thf(relation_of2_as_subset_type, type, relation_of2_as_subset: $i > $i > $i > $o).
% 0.58/1.10 thf(relation_dom_as_subset_type, type, relation_dom_as_subset: $i > $i > $i > $i).
% 0.58/1.10 thf(relation_of2_type, type, relation_of2: $i > $i > $i > $o).
% 0.58/1.10 thf(cartesian_product2_type, type, cartesian_product2: $i > $i > $i).
% 0.58/1.10 thf(relation_type, type, relation: $i > $o).
% 0.58/1.10 thf(sk__23_type, type, sk__23: $i).
% 0.58/1.10 thf(zip_tseitin_1_type, type, zip_tseitin_1: $i > $i > $i > $o).
% 0.58/1.10 thf(zip_tseitin_0_type, type, zip_tseitin_0: $i > $i > $o).
% 0.58/1.10 thf(sk__21_type, type, sk__21: $i).
% 0.58/1.10 thf(sk__20_type, type, sk__20: $i).
% 0.58/1.10 thf(sk__22_type, type, sk__22: $i).
% 0.58/1.10 thf(t6_funct_2, conjecture,
% 0.58/1.10 (![A:$i,B:$i,C:$i,D:$i]:
% 0.58/1.10 ( ( ( function @ D ) & ( quasi_total @ D @ A @ B ) &
% 0.58/1.10 ( relation_of2_as_subset @ D @ A @ B ) ) =>
% 0.58/1.10 ( ( in @ C @ A ) =>
% 0.58/1.10 ( ( ( B ) = ( empty_set ) ) |
% 0.58/1.10 ( in @ ( apply @ D @ C ) @ ( relation_rng @ D ) ) ) ) ))).
% 0.58/1.10 thf(zf_stmt_0, negated_conjecture,
% 0.58/1.10 (~( ![A:$i,B:$i,C:$i,D:$i]:
% 0.58/1.10 ( ( ( function @ D ) & ( quasi_total @ D @ A @ B ) &
% 0.58/1.10 ( relation_of2_as_subset @ D @ A @ B ) ) =>
% 0.58/1.10 ( ( in @ C @ A ) =>
% 0.58/1.10 ( ( ( B ) = ( empty_set ) ) |
% 0.58/1.10 ( in @ ( apply @ D @ C ) @ ( relation_rng @ D ) ) ) ) ) )),
% 0.58/1.10 inference('cnf.neg', [status(esa)], [t6_funct_2])).
% 0.58/1.10 thf(zip_derived_cl92, plain,
% 0.58/1.10 (~ (in @ (apply @ sk__23 @ sk__22) @ (relation_rng @ sk__23))),
% 0.58/1.10 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.58/1.10 thf(zip_derived_cl97, plain, ( (in @ sk__22 @ sk__20)),
% 0.58/1.10 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.58/1.10 thf(zip_derived_cl93, plain,
% 0.58/1.10 ( (relation_of2_as_subset @ sk__23 @ sk__20 @ sk__21)),
% 0.58/1.10 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.58/1.10 thf(redefinition_m2_relset_1, axiom,
% 0.58/1.10 (![A:$i,B:$i,C:$i]:
% 0.58/1.10 ( ( relation_of2_as_subset @ C @ A @ B ) <=> ( relation_of2 @ C @ A @ B ) ))).
% 0.58/1.10 thf(zip_derived_cl82, plain,
% 0.58/1.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/1.10 ( (relation_of2 @ X0 @ X1 @ X2)
% 0.58/1.10 | ~ (relation_of2_as_subset @ X0 @ X1 @ X2))),
% 0.58/1.10 inference('cnf', [status(esa)], [redefinition_m2_relset_1])).
% 0.58/1.10 thf(zip_derived_cl407, plain, ( (relation_of2 @ sk__23 @ sk__20 @ sk__21)),
% 0.58/1.10 inference('sup-', [status(thm)], [zip_derived_cl93, zip_derived_cl82])).
% 0.58/1.10 thf(redefinition_k4_relset_1, axiom,
% 0.58/1.10 (![A:$i,B:$i,C:$i]:
% 0.58/1.10 ( ( relation_of2 @ C @ A @ B ) =>
% 0.58/1.10 ( ( relation_dom_as_subset @ A @ B @ C ) = ( relation_dom @ C ) ) ))).
% 0.58/1.10 thf(zip_derived_cl81, plain,
% 0.58/1.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/1.10 (((relation_dom_as_subset @ X1 @ X2 @ X0) = (relation_dom @ X0))
% 0.58/1.10 | ~ (relation_of2 @ X0 @ X1 @ X2))),
% 0.58/1.10 inference('cnf', [status(esa)], [redefinition_k4_relset_1])).
% 0.58/1.10 thf(zip_derived_cl966, plain,
% 0.58/1.10 (((relation_dom_as_subset @ sk__20 @ sk__21 @ sk__23)
% 0.58/1.10 = (relation_dom @ sk__23))),
% 0.58/1.10 inference('sup-', [status(thm)], [zip_derived_cl407, zip_derived_cl81])).
% 0.58/1.10 thf(zip_derived_cl94, plain, ( (quasi_total @ sk__23 @ sk__20 @ sk__21)),
% 0.58/1.10 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.58/1.10 thf(d1_funct_2, axiom,
% 0.58/1.10 (![A:$i,B:$i,C:$i]:
% 0.58/1.10 ( ( relation_of2_as_subset @ C @ A @ B ) =>
% 0.58/1.10 ( ( ( ( B ) = ( empty_set ) ) =>
% 0.58/1.10 ( ( ( quasi_total @ C @ A @ B ) <=> ( ( C ) = ( empty_set ) ) ) |
% 0.58/1.10 ( ( A ) = ( empty_set ) ) ) ) &
% 0.58/1.10 ( ( ( ( B ) = ( empty_set ) ) => ( ( A ) = ( empty_set ) ) ) =>
% 0.58/1.10 ( ( quasi_total @ C @ A @ B ) <=>
% 0.58/1.10 ( ( A ) = ( relation_dom_as_subset @ A @ B @ C ) ) ) ) ) ))).
% 0.58/1.10 thf(zf_stmt_1, axiom,
% 0.58/1.10 (![C:$i,B:$i,A:$i]:
% 0.58/1.10 ( ( zip_tseitin_1 @ C @ B @ A ) =>
% 0.58/1.10 ( ( quasi_total @ C @ A @ B ) <=>
% 0.58/1.10 ( ( A ) = ( relation_dom_as_subset @ A @ B @ C ) ) ) ))).
% 0.58/1.11 thf(zip_derived_cl10, plain,
% 0.58/1.11 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/1.11 (~ (quasi_total @ X0 @ X1 @ X2)
% 0.58/1.11 | ((X1) = (relation_dom_as_subset @ X1 @ X2 @ X0))
% 0.58/1.11 | ~ (zip_tseitin_1 @ X0 @ X2 @ X1))),
% 0.58/1.11 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.58/1.11 thf(zip_derived_cl422, plain,
% 0.58/1.11 ((~ (zip_tseitin_1 @ sk__23 @ sk__21 @ sk__20)
% 0.58/1.11 | ((sk__20) = (relation_dom_as_subset @ sk__20 @ sk__21 @ sk__23)))),
% 0.58/1.11 inference('sup-', [status(thm)], [zip_derived_cl94, zip_derived_cl10])).
% 0.58/1.11 thf(zip_derived_cl93, plain,
% 0.58/1.11 ( (relation_of2_as_subset @ sk__23 @ sk__20 @ sk__21)),
% 0.58/1.11 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.58/1.11 thf(zf_stmt_2, type, zip_tseitin_1 : $i > $i > $i > $o).
% 0.58/1.11 thf(zf_stmt_3, type, zip_tseitin_0 : $i > $i > $o).
% 0.58/1.11 thf(zf_stmt_4, axiom,
% 0.58/1.11 (![B:$i,A:$i]:
% 0.58/1.11 ( ( ( ( B ) = ( empty_set ) ) => ( ( A ) = ( empty_set ) ) ) =>
% 0.58/1.11 ( zip_tseitin_0 @ B @ A ) ))).
% 0.58/1.11 thf(zf_stmt_5, axiom,
% 0.58/1.11 (![A:$i,B:$i,C:$i]:
% 0.58/1.11 ( ( relation_of2_as_subset @ C @ A @ B ) =>
% 0.58/1.11 ( ( ( zip_tseitin_0 @ B @ A ) => ( zip_tseitin_1 @ C @ B @ A ) ) &
% 0.58/1.11 ( ( ( B ) = ( empty_set ) ) =>
% 0.58/1.11 ( ( ( A ) = ( empty_set ) ) |
% 0.58/1.11 ( ( quasi_total @ C @ A @ B ) <=> ( ( C ) = ( empty_set ) ) ) ) ) ) ))).
% 0.58/1.11 thf(zip_derived_cl11, plain,
% 0.58/1.11 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/1.11 (~ (zip_tseitin_0 @ X0 @ X1)
% 0.58/1.11 | (zip_tseitin_1 @ X2 @ X0 @ X1)
% 0.58/1.11 | ~ (relation_of2_as_subset @ X2 @ X1 @ X0))),
% 0.58/1.11 inference('cnf', [status(esa)], [zf_stmt_5])).
% 0.58/1.11 thf(zip_derived_cl470, plain,
% 0.58/1.11 (( (zip_tseitin_1 @ sk__23 @ sk__21 @ sk__20)
% 0.58/1.11 | ~ (zip_tseitin_0 @ sk__21 @ sk__20))),
% 0.58/1.11 inference('sup-', [status(thm)], [zip_derived_cl93, zip_derived_cl11])).
% 0.58/1.11 thf(zip_derived_cl8, plain,
% 0.58/1.11 (![X0 : $i, X1 : $i]: ( (zip_tseitin_0 @ X0 @ X1) | ((X0) = (empty_set)))),
% 0.58/1.11 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.58/1.11 thf(zip_derived_cl96, plain, (((sk__21) != (empty_set))),
% 0.58/1.11 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.58/1.11 thf(zip_derived_cl211, plain,
% 0.58/1.11 (![X0 : $i, X1 : $i]: (((sk__21) != (X0)) | (zip_tseitin_0 @ X0 @ X1))),
% 0.58/1.11 inference('sup-', [status(thm)], [zip_derived_cl8, zip_derived_cl96])).
% 0.58/1.11 thf(zip_derived_cl245, plain, (![X0 : $i]: (zip_tseitin_0 @ sk__21 @ X0)),
% 0.58/1.11 inference('eq_res', [status(thm)], [zip_derived_cl211])).
% 0.58/1.11 thf(zip_derived_cl471, plain, ( (zip_tseitin_1 @ sk__23 @ sk__21 @ sk__20)),
% 0.58/1.11 inference('demod', [status(thm)], [zip_derived_cl470, zip_derived_cl245])).
% 0.58/1.11 thf(zip_derived_cl493, plain,
% 0.58/1.11 (((sk__20) = (relation_dom_as_subset @ sk__20 @ sk__21 @ sk__23))),
% 0.58/1.11 inference('demod', [status(thm)], [zip_derived_cl422, zip_derived_cl471])).
% 0.58/1.11 thf(zip_derived_cl967, plain, (((sk__20) = (relation_dom @ sk__23))),
% 0.58/1.11 inference('demod', [status(thm)], [zip_derived_cl966, zip_derived_cl493])).
% 0.58/1.11 thf(d5_funct_1, axiom,
% 0.58/1.11 (![A:$i]:
% 0.58/1.11 ( ( ( relation @ A ) & ( function @ A ) ) =>
% 0.58/1.11 ( ![B:$i]:
% 0.58/1.11 ( ( ( B ) = ( relation_rng @ A ) ) <=>
% 0.58/1.11 ( ![C:$i]:
% 0.58/1.11 ( ( in @ C @ B ) <=>
% 0.58/1.11 ( ?[D:$i]:
% 0.58/1.11 ( ( ( C ) = ( apply @ A @ D ) ) &
% 0.58/1.11 ( in @ D @ ( relation_dom @ A ) ) ) ) ) ) ) ) ))).
% 0.58/1.11 thf(zip_derived_cl19, plain,
% 0.58/1.11 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.58/1.11 (((X1) != (relation_rng @ X0))
% 0.58/1.11 | (in @ X2 @ X1)
% 0.58/1.11 | ~ (in @ X3 @ (relation_dom @ X0))
% 0.58/1.11 | ((X2) != (apply @ X0 @ X3))
% 0.58/1.11 | ~ (function @ X0)
% 0.58/1.11 | ~ (relation @ X0))),
% 0.58/1.11 inference('cnf', [status(esa)], [d5_funct_1])).
% 0.58/1.11 thf(zip_derived_cl1194, plain,
% 0.58/1.11 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/1.11 (~ (in @ X0 @ sk__20)
% 0.58/1.11 | ~ (relation @ sk__23)
% 0.58/1.11 | ~ (function @ sk__23)
% 0.58/1.11 | ((X1) != (apply @ sk__23 @ X0))
% 0.58/1.11 | (in @ X1 @ X2)
% 0.58/1.11 | ((X2) != (relation_rng @ sk__23)))),
% 0.58/1.11 inference('sup-', [status(thm)], [zip_derived_cl967, zip_derived_cl19])).
% 0.58/1.11 thf(zip_derived_cl93, plain,
% 0.58/1.11 ( (relation_of2_as_subset @ sk__23 @ sk__20 @ sk__21)),
% 0.58/1.11 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.58/1.11 thf(dt_m2_relset_1, axiom,
% 0.58/1.11 (![A:$i,B:$i,C:$i]:
% 0.58/1.11 ( ( relation_of2_as_subset @ C @ A @ B ) =>
% 0.58/1.11 ( element @ C @ ( powerset @ ( cartesian_product2 @ A @ B ) ) ) ))).
% 0.58/1.11 thf(zip_derived_cl29, plain,
% 0.58/1.11 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/1.11 ( (element @ X0 @ (powerset @ (cartesian_product2 @ X1 @ X2)))
% 0.58/1.11 | ~ (relation_of2_as_subset @ X0 @ X1 @ X2))),
% 0.58/1.11 inference('cnf', [status(esa)], [dt_m2_relset_1])).
% 0.58/1.11 thf(zip_derived_cl593, plain,
% 0.58/1.11 ( (element @ sk__23 @ (powerset @ (cartesian_product2 @ sk__20 @ sk__21)))),
% 0.58/1.11 inference('sup-', [status(thm)], [zip_derived_cl93, zip_derived_cl29])).
% 0.58/1.11 thf(cc1_relset_1, axiom,
% 0.58/1.11 (![A:$i,B:$i,C:$i]:
% 0.58/1.11 ( ( element @ C @ ( powerset @ ( cartesian_product2 @ A @ B ) ) ) =>
% 0.58/1.11 ( relation @ C ) ))).
% 0.58/1.11 thf(zip_derived_cl3, plain,
% 0.58/1.11 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/1.11 ( (relation @ X0)
% 0.58/1.11 | ~ (element @ X0 @ (powerset @ (cartesian_product2 @ X1 @ X2))))),
% 0.58/1.11 inference('cnf', [status(esa)], [cc1_relset_1])).
% 0.58/1.11 thf(zip_derived_cl595, plain, ( (relation @ sk__23)),
% 0.58/1.11 inference('sup-', [status(thm)], [zip_derived_cl593, zip_derived_cl3])).
% 0.58/1.11 thf(zip_derived_cl95, plain, ( (function @ sk__23)),
% 0.58/1.11 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.58/1.11 thf(zip_derived_cl1198, plain,
% 0.58/1.11 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/1.11 (~ (in @ X0 @ sk__20)
% 0.58/1.11 | ((X1) != (apply @ sk__23 @ X0))
% 0.58/1.11 | (in @ X1 @ X2)
% 0.58/1.11 | ((X2) != (relation_rng @ sk__23)))),
% 0.58/1.11 inference('demod', [status(thm)],
% 0.58/1.11 [zip_derived_cl1194, zip_derived_cl595, zip_derived_cl95])).
% 0.58/1.11 thf(zip_derived_cl1206, plain,
% 0.58/1.11 (![X0 : $i, X1 : $i]:
% 0.58/1.11 (((X0) != (relation_rng @ sk__23))
% 0.58/1.11 | (in @ X1 @ X0)
% 0.58/1.11 | ((X1) != (apply @ sk__23 @ sk__22)))),
% 0.58/1.11 inference('sup-', [status(thm)], [zip_derived_cl97, zip_derived_cl1198])).
% 0.58/1.11 thf(zip_derived_cl1221, plain,
% 0.58/1.11 (![X0 : $i]:
% 0.58/1.11 ( (in @ (apply @ sk__23 @ sk__22) @ X0)
% 0.58/1.11 | ((X0) != (relation_rng @ sk__23)))),
% 0.58/1.11 inference('eq_res', [status(thm)], [zip_derived_cl1206])).
% 0.58/1.11 thf(zip_derived_cl1229, plain,
% 0.58/1.11 ( (in @ (apply @ sk__23 @ sk__22) @ (relation_rng @ sk__23))),
% 0.58/1.11 inference('eq_res', [status(thm)], [zip_derived_cl1221])).
% 0.58/1.11 thf(zip_derived_cl1234, plain, ($false),
% 0.58/1.11 inference('demod', [status(thm)], [zip_derived_cl92, zip_derived_cl1229])).
% 0.58/1.11
% 0.58/1.11 % SZS output end Refutation
% 0.58/1.11
% 0.58/1.11
% 0.58/1.11 % Terminating...
% 0.58/1.16 % Runner terminated.
% 0.58/1.17 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------