%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET241-6 : TPTP v9.2.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.EtgdTPptze true
% Computer : n007.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 04:51:53 PM UTC 2025
% Result : Unsatisfiable 1.02s 0.67s
% Output : Refutation 1.02s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.09 % Problem : SET241-6 : TPTP v9.2.0. Bugfixed v2.1.0.
% 0.08/0.10 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.EtgdTPptze true
% 0.10/0.30 % Computer : n007.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Wed Oct 1 13:12:53 EDT 2025
% 0.10/0.30 % CPUTime :
% 0.10/0.30 % Running portfolio for 300 s
% 0.10/0.30 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.30 % Number of cores: 8
% 0.10/0.30 % Python version: Python 3.6.8
% 0.10/0.30 % Running in FO mode
% 0.15/0.52 % Total configuration time : 435
% 0.15/0.52 % Estimated wc time : 1092
% 0.15/0.52 % Estimated cpu time (7 cpus) : 156.0
% 0.55/0.58 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.55/0.58 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.55/0.58 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.55/0.60 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.55/0.61 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.55/0.62 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.02/0.65 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.02/0.67 % Solved by fo/fo3_bce.sh.
% 1.02/0.67 % BCE start: 45
% 1.02/0.67 % BCE eliminated: 2
% 1.02/0.67 % PE start: 43
% 1.02/0.67 logic: eq
% 1.02/0.67 % PE eliminated: 12
% 1.02/0.67 % done 59 iterations in 0.067s
% 1.02/0.67 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.02/0.67 % SZS output start Refutation
% 1.02/0.67 thf(member_type, type, member: $i > $i > $o).
% 1.02/0.67 thf(u_type, type, u: $i).
% 1.02/0.67 thf(unordered_pair_type, type, unordered_pair: $i > $i > $i).
% 1.02/0.67 thf(x_type, type, x: $i).
% 1.02/0.67 thf(singleton_type, type, singleton: $i > $i).
% 1.02/0.67 thf(intersection_type, type, intersection: $i > $i > $i).
% 1.02/0.67 thf(restrict_type, type, restrict: $i > $i > $i > $i).
% 1.02/0.67 thf(cross_product_type, type, cross_product: $i > $i > $i).
% 1.02/0.67 thf(ordered_pair_type, type, ordered_pair: $i > $i > $i).
% 1.02/0.67 thf(v_type, type, v: $i).
% 1.02/0.67 thf(y_type, type, y: $i).
% 1.02/0.67 thf(xr_type, type, xr: $i).
% 1.02/0.67 thf(prove_restriction_alternate_defn4_2, conjecture, (member @ v @ y)).
% 1.02/0.67 thf(zf_stmt_0, negated_conjecture, (~( member @ v @ y )),
% 1.02/0.67 inference('cnf.neg', [status(esa)], [prove_restriction_alternate_defn4_2])).
% 1.02/0.67 thf(zip_derived_cl43, plain, (~ (member @ v @ y)),
% 1.02/0.67 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.02/0.67 thf(prove_restriction_alternate_defn4_1, conjecture,
% 1.02/0.67 (~( member @ ( ordered_pair @ u @ v ) @ ( restrict @ xr @ x @ y ) ))).
% 1.02/0.67 thf(zf_stmt_1, negated_conjecture,
% 1.02/0.67 (member @ ( ordered_pair @ u @ v ) @ ( restrict @ xr @ x @ y )),
% 1.02/0.67 inference('cnf.neg', [status(esa)], [prove_restriction_alternate_defn4_1])).
% 1.02/0.67 thf(zip_derived_cl44, plain,
% 1.02/0.67 ( (member @ (ordered_pair @ u @ v) @ (restrict @ xr @ x @ y))),
% 1.02/0.67 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.02/0.67 thf(ordered_pair, axiom,
% 1.02/0.67 (( unordered_pair @
% 1.02/0.67 ( singleton @ X ) @ ( unordered_pair @ X @ ( singleton @ Y ) ) ) =
% 1.02/0.67 ( ordered_pair @ X @ Y ))).
% 1.02/0.67 thf(zip_derived_cl6, plain,
% 1.02/0.67 (![X0 : $i, X1 : $i]:
% 1.02/0.67 ((unordered_pair @ (singleton @ X0) @
% 1.02/0.67 (unordered_pair @ X0 @ (singleton @ X1))) = (ordered_pair @ X0 @ X1))),
% 1.02/0.67 inference('cnf', [status(esa)], [ordered_pair])).
% 1.02/0.67 thf(zip_derived_cl217, plain,
% 1.02/0.67 ( (member @
% 1.02/0.67 (unordered_pair @ (singleton @ u) @
% 1.02/0.67 (unordered_pair @ u @ (singleton @ v))) @
% 1.02/0.67 (restrict @ xr @ x @ y))),
% 1.02/0.67 inference('demod', [status(thm)], [zip_derived_cl44, zip_derived_cl6])).
% 1.02/0.67 thf(restriction1, axiom,
% 1.02/0.67 (( intersection @ Xr @ ( cross_product @ X @ Y ) ) =
% 1.02/0.67 ( restrict @ Xr @ X @ Y ))).
% 1.02/0.67 thf(zip_derived_cl16, plain,
% 1.02/0.67 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.02/0.67 ((intersection @ X0 @ (cross_product @ X1 @ X2))
% 1.02/0.67 = (restrict @ X0 @ X1 @ X2))),
% 1.02/0.67 inference('cnf', [status(esa)], [restriction1])).
% 1.02/0.67 thf(zip_derived_cl245, plain,
% 1.02/0.67 ( (member @
% 1.02/0.67 (unordered_pair @ (singleton @ u) @
% 1.02/0.67 (unordered_pair @ u @ (singleton @ v))) @
% 1.02/0.67 (intersection @ xr @ (cross_product @ x @ y)))),
% 1.02/0.67 inference('demod', [status(thm)], [zip_derived_cl217, zip_derived_cl16])).
% 1.02/0.67 thf(intersection2, axiom,
% 1.02/0.67 (( ~( member @ Z @ ( intersection @ X @ Y ) ) ) | ( member @ Z @ Y ))).
% 1.02/0.67 thf(zip_derived_cl14, plain,
% 1.02/0.67 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.02/0.67 (~ (member @ X0 @ (intersection @ X1 @ X2)) | (member @ X0 @ X2))),
% 1.02/0.67 inference('cnf', [status(esa)], [intersection2])).
% 1.02/0.67 thf(zip_derived_cl293, plain,
% 1.02/0.67 ( (member @
% 1.02/0.67 (unordered_pair @ (singleton @ u) @
% 1.02/0.67 (unordered_pair @ u @ (singleton @ v))) @
% 1.02/0.67 (cross_product @ x @ y))),
% 1.02/0.67 inference('sup-', [status(thm)], [zip_derived_cl245, zip_derived_cl14])).
% 1.02/0.67 thf(cartesian_product2, axiom,
% 1.02/0.67 (( ~( member @ ( ordered_pair @ U @ V ) @ ( cross_product @ X @ Y ) ) ) |
% 1.02/0.67 ( member @ V @ Y ))).
% 1.02/0.67 thf(zip_derived_cl8, plain,
% 1.02/0.67 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.02/0.67 (~ (member @ (ordered_pair @ X0 @ X1) @ (cross_product @ X2 @ X3))
% 1.02/0.67 | (member @ X1 @ X3))),
% 1.02/0.67 inference('cnf', [status(esa)], [cartesian_product2])).
% 1.02/0.67 thf(zip_derived_cl6, plain,
% 1.02/0.67 (![X0 : $i, X1 : $i]:
% 1.02/0.67 ((unordered_pair @ (singleton @ X0) @
% 1.02/0.67 (unordered_pair @ X0 @ (singleton @ X1))) = (ordered_pair @ X0 @ X1))),
% 1.02/0.67 inference('cnf', [status(esa)], [ordered_pair])).
% 1.02/0.67 thf(zip_derived_cl225, plain,
% 1.02/0.67 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.02/0.67 (~ (member @
% 1.02/0.67 (unordered_pair @ (singleton @ X0) @
% 1.02/0.67 (unordered_pair @ X0 @ (singleton @ X1))) @
% 1.02/0.67 (cross_product @ X2 @ X3))
% 1.02/0.67 | (member @ X1 @ X3))),
% 1.02/0.67 inference('demod', [status(thm)], [zip_derived_cl8, zip_derived_cl6])).
% 1.02/0.67 thf(zip_derived_cl299, plain, ( (member @ v @ y)),
% 1.02/0.67 inference('sup-', [status(thm)], [zip_derived_cl293, zip_derived_cl225])).
% 1.02/0.67 thf(zip_derived_cl303, plain, ($false),
% 1.02/0.67 inference('demod', [status(thm)], [zip_derived_cl43, zip_derived_cl299])).
% 1.02/0.67
% 1.02/0.67 % SZS output end Refutation
% 1.02/0.67
% 1.02/0.67
% 1.02/0.67 % Terminating...
% 1.32/0.72 % Runner terminated.
% 1.32/0.73 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------