%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET017-7 : 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.56yJzoBv19 true
% Computer : n023.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 04:51:09 PM UTC 2025
% Result : Unsatisfiable 1.24s 0.74s
% Output : Refutation 1.24s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SET017-7 : TPTP v9.2.0. Bugfixed v2.1.0.
% 0.11/0.11 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.56yJzoBv19 true
% 0.11/0.31 % Computer : n023.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Wed Oct 1 12:55:38 EDT 2025
% 0.11/0.31 % CPUTime :
% 0.11/0.31 % Running portfolio for 300 s
% 0.11/0.31 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.32 % Number of cores: 8
% 0.11/0.32 % Python version: Python 3.6.8
% 0.11/0.32 % Running in FO mode
% 0.54/0.58 % Total configuration time : 435
% 0.54/0.58 % Estimated wc time : 1092
% 0.54/0.58 % Estimated cpu time (7 cpus) : 156.0
% 0.87/0.68 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.87/0.68 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.87/0.68 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.87/0.68 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.87/0.68 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.87/0.68 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.87/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.24/0.74 % Solved by fo/fo4.sh.
% 1.24/0.74 % done 34 iterations in 0.027s
% 1.24/0.74 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.24/0.74 % SZS output start Refutation
% 1.24/0.74 thf(universal_class_type, type, universal_class: $i).
% 1.24/0.74 thf(member_type, type, member: $i > $i > $o).
% 1.24/0.74 thf(unordered_pair_type, type, unordered_pair: $i > $i > $i).
% 1.24/0.74 thf(y_type, type, y: $i).
% 1.24/0.74 thf(singleton_type, type, singleton: $i > $i).
% 1.24/0.74 thf(cross_product_type, type, cross_product: $i > $i > $i).
% 1.24/0.74 thf(ordered_pair_type, type, ordered_pair: $i > $i > $i).
% 1.24/0.74 thf(z_type, type, z: $i).
% 1.24/0.74 thf(x_type, type, x: $i).
% 1.24/0.74 thf(singleton_set, axiom, (( unordered_pair @ X @ X ) = ( singleton @ X ))).
% 1.24/0.74 thf(zip_derived_cl5, plain,
% 1.24/0.74 (![X0 : $i]: ((unordered_pair @ X0 @ X0) = (singleton @ X0))),
% 1.24/0.74 inference('cnf', [status(esa)], [singleton_set])).
% 1.24/0.74 thf(unordered_pair_member, axiom,
% 1.24/0.74 (( ~( member @ U @ ( unordered_pair @ X @ Y ) ) ) | ( ( U ) = ( X ) ) |
% 1.24/0.74 ( ( U ) = ( Y ) ))).
% 1.24/0.74 thf(zip_derived_cl1, plain,
% 1.24/0.74 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.24/0.74 (~ (member @ X0 @ (unordered_pair @ X1 @ X2))
% 1.24/0.74 | ((X0) = (X1))
% 1.24/0.74 | ((X0) = (X2)))),
% 1.24/0.74 inference('cnf', [status(esa)], [unordered_pair_member])).
% 1.24/0.74 thf(zip_derived_cl24, plain,
% 1.24/0.74 (![X0 : $i, X1 : $i]:
% 1.24/0.74 (~ (member @ X1 @ (singleton @ X0)) | ((X1) = (X0)) | ((X1) = (X0)))),
% 1.24/0.74 inference('sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl1])).
% 1.24/0.74 thf(zip_derived_cl25, plain,
% 1.24/0.74 (![X0 : $i, X1 : $i]:
% 1.24/0.74 (((X1) = (X0)) | ~ (member @ X1 @ (singleton @ X0)))),
% 1.24/0.74 inference('simplify', [status(thm)], [zip_derived_cl24])).
% 1.24/0.74 thf(prove_left_cancellation_1, conjecture,
% 1.24/0.74 (( unordered_pair @ x @ y ) != ( unordered_pair @ x @ z ))).
% 1.24/0.74 thf(zf_stmt_0, negated_conjecture,
% 1.24/0.74 (( unordered_pair @ x @ y ) = ( unordered_pair @ x @ z )),
% 1.24/0.74 inference('cnf.neg', [status(esa)], [prove_left_cancellation_1])).
% 1.24/0.74 thf(zip_derived_cl22, plain,
% 1.24/0.74 (((unordered_pair @ x @ y) = (unordered_pair @ x @ z))),
% 1.24/0.74 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.24/0.74 thf(commutativity_of_unordered_pair, axiom,
% 1.24/0.74 (( unordered_pair @ X @ Y ) = ( unordered_pair @ Y @ X ))).
% 1.24/0.74 thf(zip_derived_cl14, plain,
% 1.24/0.74 (![X0 : $i, X1 : $i]:
% 1.24/0.74 ((unordered_pair @ X1 @ X0) = (unordered_pair @ X0 @ X1))),
% 1.24/0.74 inference('cnf', [status(esa)], [commutativity_of_unordered_pair])).
% 1.24/0.74 thf(zip_derived_cl26, plain,
% 1.24/0.74 (((unordered_pair @ x @ y) = (unordered_pair @ z @ x))),
% 1.24/0.74 inference('demod', [status(thm)], [zip_derived_cl22, zip_derived_cl14])).
% 1.24/0.74 thf(zip_derived_cl26, plain,
% 1.24/0.74 (((unordered_pair @ x @ y) = (unordered_pair @ z @ x))),
% 1.24/0.74 inference('demod', [status(thm)], [zip_derived_cl22, zip_derived_cl14])).
% 1.24/0.74 thf(zip_derived_cl14, plain,
% 1.24/0.74 (![X0 : $i, X1 : $i]:
% 1.24/0.74 ((unordered_pair @ X1 @ X0) = (unordered_pair @ X0 @ X1))),
% 1.24/0.74 inference('cnf', [status(esa)], [commutativity_of_unordered_pair])).
% 1.24/0.74 thf(zip_derived_cl32, plain,
% 1.24/0.74 (((unordered_pair @ y @ x) = (unordered_pair @ z @ x))),
% 1.24/0.74 inference('sup+', [status(thm)], [zip_derived_cl26, zip_derived_cl14])).
% 1.24/0.74 thf(unordered_pair2, axiom,
% 1.24/0.74 (( ~( member @ X @ universal_class ) ) |
% 1.24/0.74 ( member @ X @ ( unordered_pair @ X @ Y ) ))).
% 1.24/0.74 thf(zip_derived_cl2, plain,
% 1.24/0.74 (![X0 : $i, X1 : $i]:
% 1.24/0.74 (~ (member @ X0 @ universal_class)
% 1.24/0.74 | (member @ X0 @ (unordered_pair @ X0 @ X1)))),
% 1.24/0.74 inference('cnf', [status(esa)], [unordered_pair2])).
% 1.24/0.74 thf(zip_derived_cl40, plain,
% 1.24/0.74 (( (member @ y @ (unordered_pair @ z @ x))
% 1.24/0.74 | ~ (member @ y @ universal_class))),
% 1.24/0.74 inference('sup+', [status(thm)], [zip_derived_cl32, zip_derived_cl2])).
% 1.24/0.74 thf(zip_derived_cl1, plain,
% 1.24/0.74 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.24/0.74 (~ (member @ X0 @ (unordered_pair @ X1 @ X2))
% 1.24/0.74 | ((X0) = (X1))
% 1.24/0.74 | ((X0) = (X2)))),
% 1.24/0.74 inference('cnf', [status(esa)], [unordered_pair_member])).
% 1.24/0.74 thf(zip_derived_cl42, plain,
% 1.24/0.74 ((~ (member @ y @ universal_class) | ((y) = (x)) | ((y) = (z)))),
% 1.24/0.74 inference('sup-', [status(thm)], [zip_derived_cl40, zip_derived_cl1])).
% 1.24/0.74 thf(prove_left_cancellation_3, conjecture, (( y ) = ( z ))).
% 1.24/0.74 thf(zf_stmt_1, negated_conjecture, (( y ) != ( z )),
% 1.24/0.74 inference('cnf.neg', [status(esa)], [prove_left_cancellation_3])).
% 1.24/0.74 thf(zip_derived_cl20, plain, (((y) != (z))),
% 1.24/0.74 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.24/0.74 thf(zip_derived_cl43, plain,
% 1.24/0.74 ((~ (member @ y @ universal_class) | ((y) = (x)))),
% 1.24/0.74 inference('simplify_reflect-', [status(thm)],
% 1.24/0.74 [zip_derived_cl42, zip_derived_cl20])).
% 1.24/0.74 thf(prove_left_cancellation_2, conjecture,
% 1.24/0.74 (~( member @
% 1.24/0.74 ( ordered_pair @ y @ z ) @
% 1.24/0.74 ( cross_product @ universal_class @ universal_class ) ))).
% 1.24/0.74 thf(zf_stmt_2, negated_conjecture,
% 1.24/0.74 (member @
% 1.24/0.74 ( ordered_pair @ y @ z ) @
% 1.24/0.74 ( cross_product @ universal_class @ universal_class )),
% 1.24/0.74 inference('cnf.neg', [status(esa)], [prove_left_cancellation_2])).
% 1.24/0.74 thf(zip_derived_cl21, plain,
% 1.24/0.74 ( (member @ (ordered_pair @ y @ z) @
% 1.24/0.74 (cross_product @ universal_class @ universal_class))),
% 1.24/0.74 inference('cnf', [status(esa)], [zf_stmt_2])).
% 1.24/0.74 thf(cartesian_product1, axiom,
% 1.24/0.74 (( ~( member @ ( ordered_pair @ U @ V ) @ ( cross_product @ X @ Y ) ) ) |
% 1.24/0.74 ( member @ U @ X ))).
% 1.24/0.74 thf(zip_derived_cl7, plain,
% 1.24/0.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.24/0.74 (~ (member @ (ordered_pair @ X0 @ X1) @ (cross_product @ X2 @ X3))
% 1.24/0.74 | (member @ X0 @ X2))),
% 1.24/0.74 inference('cnf', [status(esa)], [cartesian_product1])).
% 1.24/0.74 thf(zip_derived_cl44, plain, ( (member @ y @ universal_class)),
% 1.24/0.74 inference('sup-', [status(thm)], [zip_derived_cl21, zip_derived_cl7])).
% 1.24/0.74 thf(zip_derived_cl49, plain, (((y) = (x))),
% 1.24/0.74 inference('demod', [status(thm)], [zip_derived_cl43, zip_derived_cl44])).
% 1.24/0.74 thf(zip_derived_cl5, plain,
% 1.24/0.74 (![X0 : $i]: ((unordered_pair @ X0 @ X0) = (singleton @ X0))),
% 1.24/0.74 inference('cnf', [status(esa)], [singleton_set])).
% 1.24/0.74 thf(zip_derived_cl49, plain, (((y) = (x))),
% 1.24/0.74 inference('demod', [status(thm)], [zip_derived_cl43, zip_derived_cl44])).
% 1.24/0.74 thf(zip_derived_cl59, plain, (((singleton @ y) = (unordered_pair @ z @ y))),
% 1.24/0.74 inference('demod', [status(thm)],
% 1.24/0.74 [zip_derived_cl26, zip_derived_cl49, zip_derived_cl5,
% 1.24/0.74 zip_derived_cl49])).
% 1.24/0.74 thf(zip_derived_cl2, plain,
% 1.24/0.74 (![X0 : $i, X1 : $i]:
% 1.24/0.74 (~ (member @ X0 @ universal_class)
% 1.24/0.74 | (member @ X0 @ (unordered_pair @ X0 @ X1)))),
% 1.24/0.74 inference('cnf', [status(esa)], [unordered_pair2])).
% 1.24/0.74 thf(zip_derived_cl73, plain,
% 1.24/0.74 (( (member @ z @ (singleton @ y)) | ~ (member @ z @ universal_class))),
% 1.24/0.74 inference('sup+', [status(thm)], [zip_derived_cl59, zip_derived_cl2])).
% 1.24/0.74 thf(zip_derived_cl21, plain,
% 1.24/0.74 ( (member @ (ordered_pair @ y @ z) @
% 1.24/0.74 (cross_product @ universal_class @ universal_class))),
% 1.24/0.74 inference('cnf', [status(esa)], [zf_stmt_2])).
% 1.24/0.74 thf(cartesian_product2, axiom,
% 1.24/0.74 (( ~( member @ ( ordered_pair @ U @ V ) @ ( cross_product @ X @ Y ) ) ) |
% 1.24/0.74 ( member @ V @ Y ))).
% 1.24/0.74 thf(zip_derived_cl8, plain,
% 1.24/0.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.24/0.74 (~ (member @ (ordered_pair @ X0 @ X1) @ (cross_product @ X2 @ X3))
% 1.24/0.74 | (member @ X1 @ X3))),
% 1.24/0.74 inference('cnf', [status(esa)], [cartesian_product2])).
% 1.24/0.74 thf(zip_derived_cl45, plain, ( (member @ z @ universal_class)),
% 1.24/0.74 inference('sup-', [status(thm)], [zip_derived_cl21, zip_derived_cl8])).
% 1.24/0.74 thf(zip_derived_cl75, plain, ( (member @ z @ (singleton @ y))),
% 1.24/0.74 inference('demod', [status(thm)], [zip_derived_cl73, zip_derived_cl45])).
% 1.24/0.74 thf(zip_derived_cl78, plain, (((z) = (y))),
% 1.24/0.74 inference('sup+', [status(thm)], [zip_derived_cl25, zip_derived_cl75])).
% 1.24/0.74 thf(zip_derived_cl20, plain, (((y) != (z))),
% 1.24/0.74 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.24/0.74 thf(zip_derived_cl79, plain, ($false),
% 1.24/0.74 inference('simplify_reflect-', [status(thm)],
% 1.24/0.74 [zip_derived_cl78, zip_derived_cl20])).
% 1.24/0.74
% 1.24/0.74 % SZS output end Refutation
% 1.24/0.74
% 1.24/0.74
% 1.24/0.74 % Terminating...
% 1.24/0.79 % Runner terminated.
% 1.50/0.80 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------