%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET204-6 : TPTP v9.2.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.blESr5sS60 true
% Computer : n011.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 04:51:51 PM UTC 2025
% Result : Unsatisfiable 1.30s 0.67s
% Output : Refutation 1.30s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.07 % Problem : SET204-6 : TPTP v9.2.0. Bugfixed v2.1.0.
% 0.03/0.07 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.blESr5sS60 true
% 0.07/0.26 % Computer : n011.cluster.edu
% 0.07/0.26 % Model : x86_64 x86_64
% 0.07/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.26 % Memory : 8042.1875MB
% 0.07/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.26 % CPULimit : 300
% 0.07/0.26 % WCLimit : 300
% 0.07/0.26 % DateTime : Wed Oct 1 12:54:38 EDT 2025
% 0.07/0.26 % CPUTime :
% 0.07/0.26 % Running portfolio for 300 s
% 0.07/0.26 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.26 % Number of cores: 8
% 0.07/0.26 % Python version: Python 3.6.8
% 0.07/0.27 % Running in FO mode
% 0.12/0.52 % Total configuration time : 435
% 0.12/0.52 % Estimated wc time : 1092
% 0.12/0.52 % Estimated cpu time (7 cpus) : 156.0
% 0.86/0.58 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.86/0.62 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 1.21/0.64 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 1.21/0.64 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 1.21/0.64 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 1.21/0.64 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.21/0.65 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.30/0.67 % Solved by fo/fo3_bce.sh.
% 1.30/0.67 % BCE start: 29
% 1.30/0.67 % BCE eliminated: 0
% 1.30/0.67 % PE start: 29
% 1.30/0.67 logic: eq
% 1.30/0.67 % PE eliminated: 9
% 1.30/0.67 % done 27 iterations in 0.024s
% 1.30/0.67 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.30/0.67 % SZS output start Refutation
% 1.30/0.67 thf(member_type, type, member: $i > $i > $o).
% 1.30/0.67 thf(u_type, type, u: $i).
% 1.30/0.67 thf(unordered_pair_type, type, unordered_pair: $i > $i > $i).
% 1.30/0.67 thf(y_type, type, y: $i).
% 1.30/0.67 thf(singleton_type, type, singleton: $i > $i).
% 1.30/0.67 thf(cross_product_type, type, cross_product: $i > $i > $i).
% 1.30/0.67 thf(ordered_pair_type, type, ordered_pair: $i > $i > $i).
% 1.30/0.67 thf(v_type, type, v: $i).
% 1.30/0.67 thf(x_type, type, x: $i).
% 1.30/0.67 thf(prove_cross_product_property2_2, conjecture,
% 1.30/0.67 (member @ ( ordered_pair @ v @ u ) @ ( cross_product @ y @ x ))).
% 1.30/0.67 thf(zf_stmt_0, negated_conjecture,
% 1.30/0.67 (~( member @ ( ordered_pair @ v @ u ) @ ( cross_product @ y @ x ) )),
% 1.30/0.67 inference('cnf.neg', [status(esa)], [prove_cross_product_property2_2])).
% 1.30/0.67 thf(zip_derived_cl27, plain,
% 1.30/0.67 (~ (member @ (ordered_pair @ v @ u) @ (cross_product @ y @ x))),
% 1.30/0.67 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.30/0.67 thf(ordered_pair, axiom,
% 1.30/0.67 (( unordered_pair @
% 1.30/0.67 ( singleton @ X ) @ ( unordered_pair @ X @ ( singleton @ Y ) ) ) =
% 1.30/0.67 ( ordered_pair @ X @ Y ))).
% 1.30/0.67 thf(zip_derived_cl6, plain,
% 1.30/0.67 (![X0 : $i, X1 : $i]:
% 1.30/0.67 ((unordered_pair @ (singleton @ X0) @
% 1.30/0.67 (unordered_pair @ X0 @ (singleton @ X1))) = (ordered_pair @ X0 @ X1))),
% 1.30/0.67 inference('cnf', [status(esa)], [ordered_pair])).
% 1.30/0.67 thf(zip_derived_cl153, plain,
% 1.30/0.67 (~ (member @
% 1.30/0.67 (unordered_pair @ (singleton @ v) @
% 1.30/0.67 (unordered_pair @ v @ (singleton @ u))) @
% 1.30/0.67 (cross_product @ y @ x))),
% 1.30/0.67 inference('demod', [status(thm)], [zip_derived_cl27, zip_derived_cl6])).
% 1.30/0.67 thf(cartesian_product3, axiom,
% 1.30/0.67 (( ~( member @ U @ X ) ) | ( ~( member @ V @ Y ) ) |
% 1.30/0.67 ( member @ ( ordered_pair @ U @ V ) @ ( cross_product @ X @ Y ) ))).
% 1.30/0.67 thf(zip_derived_cl9, plain,
% 1.30/0.67 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.30/0.67 (~ (member @ X0 @ X1)
% 1.30/0.67 | ~ (member @ X2 @ X3)
% 1.30/0.67 | (member @ (ordered_pair @ X0 @ X2) @ (cross_product @ X1 @ X3)))),
% 1.30/0.67 inference('cnf', [status(esa)], [cartesian_product3])).
% 1.30/0.67 thf(zip_derived_cl6, plain,
% 1.30/0.67 (![X0 : $i, X1 : $i]:
% 1.30/0.67 ((unordered_pair @ (singleton @ X0) @
% 1.30/0.67 (unordered_pair @ X0 @ (singleton @ X1))) = (ordered_pair @ X0 @ X1))),
% 1.30/0.67 inference('cnf', [status(esa)], [ordered_pair])).
% 1.30/0.67 thf(zip_derived_cl168, plain,
% 1.30/0.67 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.30/0.67 (~ (member @ X0 @ X1)
% 1.30/0.67 | ~ (member @ X2 @ X3)
% 1.30/0.67 | (member @
% 1.30/0.67 (unordered_pair @ (singleton @ X0) @
% 1.30/0.67 (unordered_pair @ X0 @ (singleton @ X2))) @
% 1.30/0.67 (cross_product @ X1 @ X3)))),
% 1.30/0.67 inference('demod', [status(thm)], [zip_derived_cl9, zip_derived_cl6])).
% 1.30/0.67 thf(zip_derived_cl175, plain, ((~ (member @ u @ x) | ~ (member @ v @ y))),
% 1.30/0.67 inference('sup+', [status(thm)], [zip_derived_cl153, zip_derived_cl168])).
% 1.30/0.67 thf(cartesian_product1, axiom,
% 1.30/0.67 (( ~( member @ ( ordered_pair @ U @ V ) @ ( cross_product @ X @ Y ) ) ) |
% 1.30/0.67 ( member @ U @ X ))).
% 1.30/0.67 thf(zip_derived_cl7, plain,
% 1.30/0.67 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.30/0.67 (~ (member @ (ordered_pair @ X0 @ X1) @ (cross_product @ X2 @ X3))
% 1.30/0.67 | (member @ X0 @ X2))),
% 1.30/0.67 inference('cnf', [status(esa)], [cartesian_product1])).
% 1.30/0.67 thf(prove_cross_product_property2_1, conjecture,
% 1.30/0.67 (~( member @ ( ordered_pair @ u @ v ) @ ( cross_product @ x @ y ) ))).
% 1.30/0.67 thf(zf_stmt_1, negated_conjecture,
% 1.30/0.67 (member @ ( ordered_pair @ u @ v ) @ ( cross_product @ x @ y )),
% 1.30/0.67 inference('cnf.neg', [status(esa)], [prove_cross_product_property2_1])).
% 1.30/0.67 thf(zip_derived_cl28, plain,
% 1.30/0.67 ( (member @ (ordered_pair @ u @ v) @ (cross_product @ x @ y))),
% 1.30/0.67 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.30/0.67 thf(zip_derived_cl142, plain, ( (member @ u @ x)),
% 1.30/0.67 inference('sup+', [status(thm)], [zip_derived_cl7, zip_derived_cl28])).
% 1.30/0.67 thf(zip_derived_cl28, plain,
% 1.30/0.67 ( (member @ (ordered_pair @ u @ v) @ (cross_product @ x @ y))),
% 1.30/0.67 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.30/0.67 thf(zip_derived_cl6, plain,
% 1.30/0.67 (![X0 : $i, X1 : $i]:
% 1.30/0.67 ((unordered_pair @ (singleton @ X0) @
% 1.30/0.67 (unordered_pair @ X0 @ (singleton @ X1))) = (ordered_pair @ X0 @ X1))),
% 1.30/0.67 inference('cnf', [status(esa)], [ordered_pair])).
% 1.30/0.67 thf(zip_derived_cl154, plain,
% 1.30/0.67 ( (member @
% 1.30/0.67 (unordered_pair @ (singleton @ u) @
% 1.30/0.67 (unordered_pair @ u @ (singleton @ v))) @
% 1.30/0.67 (cross_product @ x @ y))),
% 1.30/0.67 inference('demod', [status(thm)], [zip_derived_cl28, zip_derived_cl6])).
% 1.30/0.67 thf(cartesian_product2, axiom,
% 1.30/0.67 (( ~( member @ ( ordered_pair @ U @ V ) @ ( cross_product @ X @ Y ) ) ) |
% 1.30/0.67 ( member @ V @ Y ))).
% 1.30/0.67 thf(zip_derived_cl8, plain,
% 1.30/0.67 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.30/0.67 (~ (member @ (ordered_pair @ X0 @ X1) @ (cross_product @ X2 @ X3))
% 1.30/0.67 | (member @ X1 @ X3))),
% 1.30/0.67 inference('cnf', [status(esa)], [cartesian_product2])).
% 1.30/0.67 thf(zip_derived_cl6, plain,
% 1.30/0.67 (![X0 : $i, X1 : $i]:
% 1.30/0.67 ((unordered_pair @ (singleton @ X0) @
% 1.30/0.67 (unordered_pair @ X0 @ (singleton @ X1))) = (ordered_pair @ X0 @ X1))),
% 1.30/0.67 inference('cnf', [status(esa)], [ordered_pair])).
% 1.30/0.67 thf(zip_derived_cl155, plain,
% 1.30/0.67 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.30/0.67 (~ (member @
% 1.30/0.67 (unordered_pair @ (singleton @ X0) @
% 1.30/0.67 (unordered_pair @ X0 @ (singleton @ X1))) @
% 1.30/0.67 (cross_product @ X2 @ X3))
% 1.30/0.67 | (member @ X1 @ X3))),
% 1.30/0.67 inference('demod', [status(thm)], [zip_derived_cl8, zip_derived_cl6])).
% 1.30/0.67 thf(zip_derived_cl164, plain, ( (member @ v @ y)),
% 1.30/0.67 inference('sup-', [status(thm)], [zip_derived_cl154, zip_derived_cl155])).
% 1.30/0.67 thf(zip_derived_cl177, plain, ($false),
% 1.30/0.67 inference('demod', [status(thm)],
% 1.30/0.67 [zip_derived_cl175, zip_derived_cl142, zip_derived_cl164])).
% 1.30/0.67
% 1.30/0.67 % SZS output end Refutation
% 1.30/0.67
% 1.30/0.67
% 1.30/0.67 % Terminating...
% 1.67/0.73 % Runner terminated.
% 1.67/0.75 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------