%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET016-6 : 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.4I7IHbSUTA 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 04:51:08 PM UTC 2025
% Result : Unsatisfiable 0.58s 0.80s
% Output : Refutation 0.58s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET016-6 : TPTP v9.2.0. Bugfixed v2.1.0.
% 0.03/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.4I7IHbSUTA true
% 0.13/0.34 % Computer : n007.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Oct 1 12:56:53 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.56/0.64 % Total configuration time : 435
% 0.56/0.64 % Estimated wc time : 1092
% 0.56/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.57/0.72 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.57/0.74 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.57/0.75 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.57/0.75 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.57/0.76 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.57/0.76 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.57/0.76 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.58/0.80 % Solved by fo/fo3_bce.sh.
% 0.58/0.80 % BCE start: 41
% 0.58/0.80 % BCE eliminated: 1
% 0.58/0.80 % PE start: 40
% 0.58/0.80 logic: eq
% 0.58/0.80 % PE eliminated: 9
% 0.58/0.80 % done 73 iterations in 0.043s
% 0.58/0.80 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.58/0.80 % SZS output start Refutation
% 0.58/0.80 thf(universal_class_type, type, universal_class: $i).
% 0.58/0.80 thf(member_type, type, member: $i > $i > $o).
% 0.58/0.80 thf(w_type, type, w: $i).
% 0.58/0.80 thf(unordered_pair_type, type, unordered_pair: $i > $i > $i).
% 0.58/0.80 thf(y_type, type, y: $i).
% 0.58/0.80 thf(x_type, type, x: $i).
% 0.58/0.80 thf(z_type, type, z: $i).
% 0.58/0.80 thf(singleton_type, type, singleton: $i > $i).
% 0.58/0.80 thf(ordered_pair_type, type, ordered_pair: $i > $i > $i).
% 0.58/0.80 thf(singleton_set, axiom, (( unordered_pair @ X @ X ) = ( singleton @ X ))).
% 0.58/0.80 thf(zip_derived_cl9, plain,
% 0.58/0.80 (![X0 : $i]: ((unordered_pair @ X0 @ X0) = (singleton @ X0))),
% 0.58/0.80 inference('cnf', [status(esa)], [singleton_set])).
% 0.58/0.80 thf(unordered_pair2, axiom,
% 0.58/0.80 (( ~( member @ X @ universal_class ) ) |
% 0.58/0.80 ( member @ X @ ( unordered_pair @ X @ Y ) ))).
% 0.58/0.80 thf(zip_derived_cl6, plain,
% 0.58/0.80 (![X0 : $i, X1 : $i]:
% 0.58/0.80 (~ (member @ X0 @ universal_class)
% 0.58/0.80 | (member @ X0 @ (unordered_pair @ X0 @ X1)))),
% 0.58/0.80 inference('cnf', [status(esa)], [unordered_pair2])).
% 0.58/0.80 thf(zip_derived_cl201, plain,
% 0.58/0.80 (![X0 : $i]:
% 0.58/0.80 ( (member @ X0 @ (singleton @ X0)) | ~ (member @ X0 @ universal_class))),
% 0.58/0.80 inference('sup+', [status(thm)], [zip_derived_cl9, zip_derived_cl6])).
% 0.58/0.80 thf(prove_ordered_pair_determines_components1_1, conjecture,
% 0.58/0.80 (( ordered_pair @ w @ x ) != ( ordered_pair @ y @ z ))).
% 0.58/0.80 thf(zf_stmt_0, negated_conjecture,
% 0.58/0.80 (( ordered_pair @ w @ x ) = ( ordered_pair @ y @ z )),
% 0.58/0.80 inference('cnf.neg', [status(esa)],
% 0.58/0.80 [prove_ordered_pair_determines_components1_1])).
% 0.58/0.80 thf(zip_derived_cl40, plain,
% 0.58/0.80 (((ordered_pair @ w @ x) = (ordered_pair @ y @ z))),
% 0.58/0.80 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.58/0.80 thf(ordered_pair, axiom,
% 0.58/0.80 (( unordered_pair @
% 0.58/0.80 ( singleton @ X ) @ ( unordered_pair @ X @ ( singleton @ Y ) ) ) =
% 0.58/0.80 ( ordered_pair @ X @ Y ))).
% 0.58/0.80 thf(zip_derived_cl10, plain,
% 0.58/0.80 (![X0 : $i, X1 : $i]:
% 0.58/0.80 ((unordered_pair @ (singleton @ X0) @
% 0.58/0.80 (unordered_pair @ X0 @ (singleton @ X1))) = (ordered_pair @ X0 @ X1))),
% 0.58/0.80 inference('cnf', [status(esa)], [ordered_pair])).
% 0.58/0.80 thf(zip_derived_cl10, plain,
% 0.58/0.80 (![X0 : $i, X1 : $i]:
% 0.58/0.80 ((unordered_pair @ (singleton @ X0) @
% 0.58/0.80 (unordered_pair @ X0 @ (singleton @ X1))) = (ordered_pair @ X0 @ X1))),
% 0.58/0.80 inference('cnf', [status(esa)], [ordered_pair])).
% 0.58/0.80 thf(zip_derived_cl225, plain,
% 0.58/0.80 (((unordered_pair @ (singleton @ w) @
% 0.58/0.80 (unordered_pair @ w @ (singleton @ x)))
% 0.58/0.80 = (unordered_pair @ (singleton @ y) @
% 0.58/0.80 (unordered_pair @ y @ (singleton @ z))))),
% 0.58/0.80 inference('demod', [status(thm)],
% 0.58/0.80 [zip_derived_cl40, zip_derived_cl10, zip_derived_cl10])).
% 0.58/0.80 thf(zip_derived_cl6, plain,
% 0.58/0.80 (![X0 : $i, X1 : $i]:
% 0.58/0.80 (~ (member @ X0 @ universal_class)
% 0.58/0.80 | (member @ X0 @ (unordered_pair @ X0 @ X1)))),
% 0.58/0.80 inference('cnf', [status(esa)], [unordered_pair2])).
% 0.58/0.80 thf(zip_derived_cl262, plain,
% 0.58/0.80 (( (member @ (singleton @ y) @
% 0.58/0.80 (unordered_pair @ (singleton @ w) @
% 0.58/0.80 (unordered_pair @ w @ (singleton @ x))))
% 0.58/0.80 | ~ (member @ (singleton @ y) @ universal_class))),
% 0.58/0.80 inference('sup+', [status(thm)], [zip_derived_cl225, zip_derived_cl6])).
% 0.58/0.80 thf(zip_derived_cl9, plain,
% 0.58/0.80 (![X0 : $i]: ((unordered_pair @ X0 @ X0) = (singleton @ X0))),
% 0.58/0.80 inference('cnf', [status(esa)], [singleton_set])).
% 0.58/0.80 thf(unordered_pairs_in_universal, axiom,
% 0.58/0.80 (member @ ( unordered_pair @ X @ Y ) @ universal_class)).
% 0.58/0.80 thf(zip_derived_cl8, plain,
% 0.58/0.80 (![X0 : $i, X1 : $i]:
% 0.58/0.80 (member @ (unordered_pair @ X0 @ X1) @ universal_class)),
% 0.58/0.80 inference('cnf', [status(esa)], [unordered_pairs_in_universal])).
% 0.58/0.80 thf(zip_derived_cl174, plain,
% 0.58/0.80 (![X0 : $i]: (member @ (singleton @ X0) @ universal_class)),
% 0.58/0.80 inference('sup+', [status(thm)], [zip_derived_cl9, zip_derived_cl8])).
% 0.58/0.80 thf(zip_derived_cl270, plain,
% 0.58/0.80 ( (member @ (singleton @ y) @
% 0.58/0.80 (unordered_pair @ (singleton @ w) @
% 0.58/0.80 (unordered_pair @ w @ (singleton @ x))))),
% 0.58/0.80 inference('demod', [status(thm)], [zip_derived_cl262, zip_derived_cl174])).
% 0.58/0.80 thf(unordered_pair_member, axiom,
% 0.58/0.80 (( ~( member @ U @ ( unordered_pair @ X @ Y ) ) ) | ( ( U ) = ( X ) ) |
% 0.58/0.80 ( ( U ) = ( Y ) ))).
% 0.58/0.80 thf(zip_derived_cl5, plain,
% 0.58/0.80 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.80 (~ (member @ X0 @ (unordered_pair @ X1 @ X2))
% 0.58/0.80 | ((X0) = (X1))
% 0.58/0.80 | ((X0) = (X2)))),
% 0.58/0.80 inference('cnf', [status(esa)], [unordered_pair_member])).
% 0.58/0.80 thf(zip_derived_cl278, plain,
% 0.58/0.80 ((((singleton @ y) = (unordered_pair @ w @ (singleton @ x)))
% 0.58/0.80 | ((singleton @ y) = (singleton @ w)))),
% 0.58/0.80 inference('sup-', [status(thm)], [zip_derived_cl270, zip_derived_cl5])).
% 0.58/0.80 thf(zip_derived_cl6, plain,
% 0.58/0.80 (![X0 : $i, X1 : $i]:
% 0.58/0.80 (~ (member @ X0 @ universal_class)
% 0.58/0.80 | (member @ X0 @ (unordered_pair @ X0 @ X1)))),
% 0.58/0.80 inference('cnf', [status(esa)], [unordered_pair2])).
% 0.58/0.80 thf(zip_derived_cl289, plain,
% 0.58/0.80 (( (member @ w @ (singleton @ y))
% 0.58/0.80 | ((singleton @ y) = (singleton @ w))
% 0.58/0.80 | ~ (member @ w @ universal_class))),
% 0.58/0.80 inference('sup+', [status(thm)], [zip_derived_cl278, zip_derived_cl6])).
% 0.58/0.80 thf(prove_ordered_pair_determines_components1_2, conjecture,
% 0.58/0.80 (~( member @ w @ universal_class ))).
% 0.58/0.80 thf(zf_stmt_1, negated_conjecture, (member @ w @ universal_class),
% 0.58/0.80 inference('cnf.neg', [status(esa)],
% 0.58/0.80 [prove_ordered_pair_determines_components1_2])).
% 0.58/0.80 thf(zip_derived_cl39, plain, ( (member @ w @ universal_class)),
% 0.58/0.80 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.58/0.80 thf(zip_derived_cl302, plain,
% 0.58/0.80 (( (member @ w @ (singleton @ y)) | ((singleton @ y) = (singleton @ w)))),
% 0.58/0.80 inference('demod', [status(thm)], [zip_derived_cl289, zip_derived_cl39])).
% 0.58/0.80 thf(zip_derived_cl9, plain,
% 0.58/0.80 (![X0 : $i]: ((unordered_pair @ X0 @ X0) = (singleton @ X0))),
% 0.58/0.80 inference('cnf', [status(esa)], [singleton_set])).
% 0.58/0.80 thf(zip_derived_cl5, plain,
% 0.58/0.80 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.80 (~ (member @ X0 @ (unordered_pair @ X1 @ X2))
% 0.58/0.80 | ((X0) = (X1))
% 0.58/0.80 | ((X0) = (X2)))),
% 0.58/0.80 inference('cnf', [status(esa)], [unordered_pair_member])).
% 0.58/0.80 thf(zip_derived_cl189, plain,
% 0.58/0.80 (![X0 : $i, X1 : $i]:
% 0.58/0.80 (~ (member @ X1 @ (singleton @ X0)) | ((X1) = (X0)) | ((X1) = (X0)))),
% 0.58/0.80 inference('sup-', [status(thm)], [zip_derived_cl9, zip_derived_cl5])).
% 0.58/0.80 thf(zip_derived_cl190, plain,
% 0.58/0.80 (![X0 : $i, X1 : $i]:
% 0.58/0.80 (((X1) = (X0)) | ~ (member @ X1 @ (singleton @ X0)))),
% 0.58/0.80 inference('simplify', [status(thm)], [zip_derived_cl189])).
% 0.58/0.80 thf(zip_derived_cl310, plain, (((singleton @ y) = (singleton @ w))),
% 0.58/0.80 inference('clc', [status(thm)], [zip_derived_cl302, zip_derived_cl190])).
% 0.58/0.80 thf(zip_derived_cl190, plain,
% 0.58/0.80 (![X0 : $i, X1 : $i]:
% 0.58/0.80 (((X1) = (X0)) | ~ (member @ X1 @ (singleton @ X0)))),
% 0.58/0.80 inference('simplify', [status(thm)], [zip_derived_cl189])).
% 0.58/0.80 thf(zip_derived_cl315, plain,
% 0.58/0.80 (![X0 : $i]: (~ (member @ X0 @ (singleton @ w)) | ((X0) = (y)))),
% 0.58/0.80 inference('sup-', [status(thm)], [zip_derived_cl310, zip_derived_cl190])).
% 0.58/0.80 thf(zip_derived_cl335, plain,
% 0.58/0.80 ((~ (member @ w @ universal_class) | ((w) = (y)))),
% 0.58/0.80 inference('sup-', [status(thm)], [zip_derived_cl201, zip_derived_cl315])).
% 0.58/0.80 thf(zip_derived_cl39, plain, ( (member @ w @ universal_class)),
% 0.58/0.80 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.58/0.80 thf(zip_derived_cl336, plain, (((w) = (y))),
% 0.58/0.80 inference('demod', [status(thm)], [zip_derived_cl335, zip_derived_cl39])).
% 0.58/0.80 thf(prove_ordered_pair_determines_components1_3, conjecture, (( w ) = ( y ))).
% 0.58/0.80 thf(zf_stmt_2, negated_conjecture, (( w ) != ( y )),
% 0.58/0.80 inference('cnf.neg', [status(esa)],
% 0.58/0.80 [prove_ordered_pair_determines_components1_3])).
% 0.58/0.80 thf(zip_derived_cl38, plain, (((w) != (y))),
% 0.58/0.80 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.58/0.80 thf(zip_derived_cl337, plain, ($false),
% 0.58/0.80 inference('simplify_reflect-', [status(thm)],
% 0.58/0.80 [zip_derived_cl336, zip_derived_cl38])).
% 0.58/0.80
% 0.58/0.80 % SZS output end Refutation
% 0.58/0.80
% 0.58/0.80
% 0.58/0.80 % Terminating...
% 0.61/0.85 % Runner terminated.
% 1.69/0.86 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------