%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET072-7 : 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.OOBCzd6P5x true
% Computer : n016.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 04:51:26 PM UTC 2025
% Result : Unsatisfiable 0.45s 0.71s
% Output : Refutation 0.45s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.10 % Problem : SET072-7 : TPTP v9.2.0. Bugfixed v2.1.0.
% 0.04/0.10 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.OOBCzd6P5x true
% 0.09/0.30 % Computer : n016.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Wed Oct 1 13:08:53 EDT 2025
% 0.09/0.31 % CPUTime :
% 0.09/0.31 % Running portfolio for 300 s
% 0.09/0.31 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.31 % Number of cores: 8
% 0.09/0.31 % Python version: Python 3.6.8
% 0.15/0.31 % Running in FO mode
% 0.44/0.55 % Total configuration time : 435
% 0.44/0.56 % Estimated wc time : 1092
% 0.44/0.56 % Estimated cpu time (7 cpus) : 156.0
% 0.44/0.67 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.45/0.67 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.45/0.67 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.45/0.67 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.45/0.67 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.45/0.67 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.45/0.67 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.45/0.71 % Solved by fo/fo4.sh.
% 0.45/0.71 % done 34 iterations in 0.022s
% 0.45/0.71 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.45/0.71 % SZS output start Refutation
% 0.45/0.71 thf(universal_class_type, type, universal_class: $i).
% 0.45/0.71 thf(member_type, type, member: $i > $i > $o).
% 0.45/0.71 thf(unordered_pair_type, type, unordered_pair: $i > $i > $i).
% 0.45/0.71 thf(z_type, type, z: $i).
% 0.45/0.71 thf(y_type, type, y: $i).
% 0.45/0.71 thf(singleton_type, type, singleton: $i > $i).
% 0.45/0.71 thf(cross_product_type, type, cross_product: $i > $i > $i).
% 0.45/0.71 thf(ordered_pair_type, type, ordered_pair: $i > $i > $i).
% 0.45/0.71 thf(x_type, type, x: $i).
% 0.45/0.71 thf(prove_right_cancellation_1, conjecture,
% 0.45/0.71 (( unordered_pair @ x @ z ) != ( unordered_pair @ y @ z ))).
% 0.45/0.71 thf(zf_stmt_0, negated_conjecture,
% 0.45/0.71 (( unordered_pair @ x @ z ) = ( unordered_pair @ y @ z )),
% 0.45/0.71 inference('cnf.neg', [status(esa)], [prove_right_cancellation_1])).
% 0.45/0.71 thf(zip_derived_cl23, plain,
% 0.45/0.71 (((unordered_pair @ x @ z) = (unordered_pair @ y @ z))),
% 0.45/0.71 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.45/0.71 thf(zip_derived_cl23, plain,
% 0.45/0.71 (((unordered_pair @ x @ z) = (unordered_pair @ y @ z))),
% 0.45/0.71 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.45/0.71 thf(unordered_pair2, axiom,
% 0.45/0.71 (( ~( member @ X @ universal_class ) ) |
% 0.45/0.71 ( member @ X @ ( unordered_pair @ X @ Y ) ))).
% 0.45/0.71 thf(zip_derived_cl2, plain,
% 0.45/0.71 (![X0 : $i, X1 : $i]:
% 0.45/0.71 (~ (member @ X0 @ universal_class)
% 0.45/0.71 | (member @ X0 @ (unordered_pair @ X0 @ X1)))),
% 0.45/0.71 inference('cnf', [status(esa)], [unordered_pair2])).
% 0.45/0.71 thf(zip_derived_cl36, plain,
% 0.45/0.71 (( (member @ x @ (unordered_pair @ y @ z))
% 0.45/0.71 | ~ (member @ x @ universal_class))),
% 0.45/0.71 inference('sup+', [status(thm)], [zip_derived_cl23, zip_derived_cl2])).
% 0.45/0.71 thf(unordered_pair_member, axiom,
% 0.45/0.71 (( ~( member @ U @ ( unordered_pair @ X @ Y ) ) ) | ( ( U ) = ( X ) ) |
% 0.45/0.71 ( ( U ) = ( Y ) ))).
% 0.45/0.71 thf(zip_derived_cl1, plain,
% 0.45/0.71 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.45/0.71 (~ (member @ X0 @ (unordered_pair @ X1 @ X2))
% 0.45/0.71 | ((X0) = (X1))
% 0.45/0.71 | ((X0) = (X2)))),
% 0.45/0.71 inference('cnf', [status(esa)], [unordered_pair_member])).
% 0.45/0.71 thf(zip_derived_cl37, plain,
% 0.45/0.71 ((~ (member @ x @ universal_class) | ((x) = (z)) | ((x) = (y)))),
% 0.45/0.71 inference('sup-', [status(thm)], [zip_derived_cl36, zip_derived_cl1])).
% 0.45/0.71 thf(prove_right_cancellation_3, conjecture, (( x ) = ( y ))).
% 0.45/0.71 thf(zf_stmt_1, negated_conjecture, (( x ) != ( y )),
% 0.45/0.71 inference('cnf.neg', [status(esa)], [prove_right_cancellation_3])).
% 0.45/0.71 thf(zip_derived_cl21, plain, (((x) != (y))),
% 0.45/0.71 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.45/0.71 thf(zip_derived_cl38, plain,
% 0.45/0.71 ((~ (member @ x @ universal_class) | ((x) = (z)))),
% 0.45/0.71 inference('simplify_reflect-', [status(thm)],
% 0.45/0.71 [zip_derived_cl37, zip_derived_cl21])).
% 0.45/0.71 thf(prove_right_cancellation_2, conjecture,
% 0.45/0.71 (~( member @
% 0.45/0.71 ( ordered_pair @ x @ y ) @
% 0.45/0.71 ( cross_product @ universal_class @ universal_class ) ))).
% 0.45/0.71 thf(zf_stmt_2, negated_conjecture,
% 0.45/0.71 (member @
% 0.45/0.71 ( ordered_pair @ x @ y ) @
% 0.45/0.71 ( cross_product @ universal_class @ universal_class )),
% 0.45/0.71 inference('cnf.neg', [status(esa)], [prove_right_cancellation_2])).
% 0.45/0.71 thf(zip_derived_cl22, plain,
% 0.45/0.71 ( (member @ (ordered_pair @ x @ y) @
% 0.45/0.71 (cross_product @ universal_class @ universal_class))),
% 0.45/0.71 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.45/0.71 thf(cartesian_product1, axiom,
% 0.45/0.71 (( ~( member @ ( ordered_pair @ U @ V ) @ ( cross_product @ X @ Y ) ) ) |
% 0.45/0.71 ( member @ U @ X ))).
% 0.45/0.71 thf(zip_derived_cl7, plain,
% 0.45/0.71 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.45/0.71 (~ (member @ (ordered_pair @ X0 @ X1) @ (cross_product @ X2 @ X3))
% 0.45/0.71 | (member @ X0 @ X2))),
% 0.45/0.71 inference('cnf', [status(esa)], [cartesian_product1])).
% 0.45/0.71 thf(zip_derived_cl39, plain, ( (member @ x @ universal_class)),
% 0.45/0.71 inference('sup-', [status(thm)], [zip_derived_cl22, zip_derived_cl7])).
% 0.45/0.71 thf(zip_derived_cl44, plain, (((x) = (z))),
% 0.45/0.71 inference('demod', [status(thm)], [zip_derived_cl38, zip_derived_cl39])).
% 0.45/0.71 thf(singleton_set, axiom, (( unordered_pair @ X @ X ) = ( singleton @ X ))).
% 0.45/0.71 thf(zip_derived_cl5, plain,
% 0.45/0.71 (![X0 : $i]: ((unordered_pair @ X0 @ X0) = (singleton @ X0))),
% 0.45/0.71 inference('cnf', [status(esa)], [singleton_set])).
% 0.45/0.71 thf(zip_derived_cl44, plain, (((x) = (z))),
% 0.45/0.71 inference('demod', [status(thm)], [zip_derived_cl38, zip_derived_cl39])).
% 0.45/0.71 thf(zip_derived_cl45, plain, (((singleton @ x) = (unordered_pair @ y @ x))),
% 0.45/0.71 inference('demod', [status(thm)],
% 0.45/0.71 [zip_derived_cl23, zip_derived_cl44, zip_derived_cl5,
% 0.45/0.71 zip_derived_cl44])).
% 0.45/0.71 thf(zip_derived_cl5, plain,
% 0.45/0.71 (![X0 : $i]: ((unordered_pair @ X0 @ X0) = (singleton @ X0))),
% 0.45/0.71 inference('cnf', [status(esa)], [singleton_set])).
% 0.45/0.71 thf(zip_derived_cl22, plain,
% 0.45/0.71 ( (member @ (ordered_pair @ x @ y) @
% 0.45/0.71 (cross_product @ universal_class @ universal_class))),
% 0.45/0.71 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.45/0.71 thf(left_cancellation, axiom,
% 0.45/0.71 (( ( unordered_pair @ X @ Y ) != ( unordered_pair @ X @ Z ) ) |
% 0.45/0.71 ( ~( member @
% 0.45/0.71 ( ordered_pair @ Y @ Z ) @
% 0.45/0.71 ( cross_product @ universal_class @ universal_class ) ) ) |
% 0.45/0.71 ( ( Y ) = ( Z ) ))).
% 0.45/0.71 thf(zip_derived_cl20, plain,
% 0.45/0.71 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.45/0.71 (((unordered_pair @ X0 @ X2) != (unordered_pair @ X0 @ X1))
% 0.45/0.71 | ~ (member @ (ordered_pair @ X2 @ X1) @
% 0.45/0.71 (cross_product @ universal_class @ universal_class))
% 0.45/0.71 | ((X2) = (X1)))),
% 0.45/0.71 inference('cnf', [status(esa)], [left_cancellation])).
% 0.45/0.71 thf(zip_derived_cl54, plain,
% 0.45/0.71 (![X0 : $i]:
% 0.45/0.71 (((x) = (y))
% 0.45/0.71 | ((unordered_pair @ X0 @ x) != (unordered_pair @ X0 @ y)))),
% 0.45/0.71 inference('sup-', [status(thm)], [zip_derived_cl22, zip_derived_cl20])).
% 0.45/0.71 thf(zip_derived_cl21, plain, (((x) != (y))),
% 0.45/0.71 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.45/0.71 thf(zip_derived_cl55, plain,
% 0.45/0.71 (![X0 : $i]: ((unordered_pair @ X0 @ x) != (unordered_pair @ X0 @ y))),
% 0.45/0.71 inference('simplify_reflect-', [status(thm)],
% 0.45/0.71 [zip_derived_cl54, zip_derived_cl21])).
% 0.45/0.71 thf(zip_derived_cl58, plain, (((singleton @ x) != (unordered_pair @ x @ y))),
% 0.45/0.71 inference('sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl55])).
% 0.45/0.71 thf(commutativity_of_unordered_pair, axiom,
% 0.45/0.71 (( unordered_pair @ X @ Y ) = ( unordered_pair @ Y @ X ))).
% 0.45/0.71 thf(zip_derived_cl14, plain,
% 0.45/0.71 (![X0 : $i, X1 : $i]:
% 0.45/0.71 ((unordered_pair @ X1 @ X0) = (unordered_pair @ X0 @ X1))),
% 0.45/0.71 inference('cnf', [status(esa)], [commutativity_of_unordered_pair])).
% 0.45/0.71 thf(zip_derived_cl59, plain, (((singleton @ x) != (unordered_pair @ y @ x))),
% 0.45/0.71 inference('demod', [status(thm)], [zip_derived_cl58, zip_derived_cl14])).
% 0.45/0.71 thf(zip_derived_cl64, plain, ($false),
% 0.45/0.71 inference('simplify_reflect-', [status(thm)],
% 0.45/0.71 [zip_derived_cl45, zip_derived_cl59])).
% 0.45/0.71
% 0.45/0.71 % SZS output end Refutation
% 0.45/0.71
% 0.45/0.71
% 0.45/0.72 % Terminating...
% 1.46/0.78 % Runner terminated.
% 1.46/0.79 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------