%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET017-6 : 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.xHfx3oQPKn true
% Computer : n018.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 0.54s 0.74s
% Output : Refutation 0.54s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SET017-6 : TPTP v9.2.0. Bugfixed v2.1.0.
% 0.06/0.12 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.xHfx3oQPKn true
% 0.12/0.33 % Computer : n018.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Wed Oct 1 13:20:53 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.33 % Running portfolio for 300 s
% 0.12/0.33 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33 % Number of cores: 8
% 0.12/0.34 % Python version: Python 3.6.8
% 0.12/0.34 % Running in FO mode
% 0.45/0.61 % Total configuration time : 435
% 0.45/0.61 % Estimated wc time : 1092
% 0.45/0.61 % Estimated cpu time (7 cpus) : 156.0
% 0.54/0.68 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.54/0.69 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.54/0.71 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.54/0.73 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.54/0.73 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.54/0.73 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.54/0.74 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.54/0.74 % Solved by fo/fo3_bce.sh.
% 0.54/0.74 % BCE start: 50
% 0.54/0.74 % BCE eliminated: 4
% 0.54/0.74 % PE start: 46
% 0.54/0.74 logic: eq
% 0.54/0.74 % PE eliminated: 11
% 0.54/0.74 % done 68 iterations in 0.027s
% 0.54/0.74 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.54/0.74 % SZS output start Refutation
% 0.54/0.74 thf(universal_class_type, type, universal_class: $i).
% 0.54/0.74 thf(member_type, type, member: $i > $i > $o).
% 0.54/0.74 thf(x_type, type, x: $i).
% 0.54/0.74 thf(unordered_pair_type, type, unordered_pair: $i > $i > $i).
% 0.54/0.74 thf(z_type, type, z: $i).
% 0.54/0.74 thf(y_type, type, y: $i).
% 0.54/0.74 thf(singleton_type, type, singleton: $i > $i).
% 0.54/0.74 thf(cross_product_type, type, cross_product: $i > $i > $i).
% 0.54/0.74 thf(ordered_pair_type, type, ordered_pair: $i > $i > $i).
% 0.54/0.74 thf(singleton_set, axiom, (( unordered_pair @ X @ X ) = ( singleton @ X ))).
% 0.54/0.74 thf(zip_derived_cl9, plain,
% 0.54/0.74 (![X0 : $i]: ((unordered_pair @ X0 @ X0) = (singleton @ X0))),
% 0.54/0.74 inference('cnf', [status(esa)], [singleton_set])).
% 0.54/0.74 thf(unordered_pair_member, axiom,
% 0.54/0.74 (( ~( member @ U @ ( unordered_pair @ X @ Y ) ) ) | ( ( U ) = ( X ) ) |
% 0.54/0.74 ( ( U ) = ( Y ) ))).
% 0.54/0.74 thf(zip_derived_cl5, plain,
% 0.54/0.74 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.54/0.74 (~ (member @ X0 @ (unordered_pair @ X1 @ X2))
% 0.54/0.74 | ((X0) = (X1))
% 0.54/0.74 | ((X0) = (X2)))),
% 0.54/0.74 inference('cnf', [status(esa)], [unordered_pair_member])).
% 0.54/0.74 thf(zip_derived_cl225, plain,
% 0.54/0.74 (![X0 : $i, X1 : $i]:
% 0.54/0.74 (~ (member @ X1 @ (singleton @ X0)) | ((X1) = (X0)) | ((X1) = (X0)))),
% 0.54/0.74 inference('sup-', [status(thm)], [zip_derived_cl9, zip_derived_cl5])).
% 0.54/0.74 thf(zip_derived_cl227, plain,
% 0.54/0.74 (![X0 : $i, X1 : $i]:
% 0.54/0.74 (((X1) = (X0)) | ~ (member @ X1 @ (singleton @ X0)))),
% 0.54/0.74 inference('simplify', [status(thm)], [zip_derived_cl225])).
% 0.54/0.74 thf(prove_left_cancellation_1, conjecture,
% 0.54/0.74 (( unordered_pair @ x @ y ) != ( unordered_pair @ x @ z ))).
% 0.54/0.74 thf(zf_stmt_0, negated_conjecture,
% 0.54/0.74 (( unordered_pair @ x @ y ) = ( unordered_pair @ x @ z )),
% 0.54/0.74 inference('cnf.neg', [status(esa)], [prove_left_cancellation_1])).
% 0.54/0.74 thf(zip_derived_cl49, plain,
% 0.54/0.74 (((unordered_pair @ x @ y) = (unordered_pair @ x @ z))),
% 0.54/0.74 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.54/0.74 thf(zip_derived_cl49, plain,
% 0.54/0.74 (((unordered_pair @ x @ y) = (unordered_pair @ x @ z))),
% 0.54/0.74 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.54/0.74 thf(zip_derived_cl5, plain,
% 0.54/0.74 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.54/0.74 (~ (member @ X0 @ (unordered_pair @ X1 @ X2))
% 0.54/0.74 | ((X0) = (X1))
% 0.54/0.74 | ((X0) = (X2)))),
% 0.54/0.74 inference('cnf', [status(esa)], [unordered_pair_member])).
% 0.54/0.74 thf(zip_derived_cl226, plain,
% 0.54/0.74 (![X0 : $i]:
% 0.54/0.74 (~ (member @ X0 @ (unordered_pair @ x @ y))
% 0.54/0.74 | ((X0) = (z))
% 0.54/0.74 | ((X0) = (x)))),
% 0.54/0.74 inference('sup-', [status(thm)], [zip_derived_cl49, zip_derived_cl5])).
% 0.54/0.74 thf(unordered_pair3, axiom,
% 0.54/0.74 (( ~( member @ Y @ universal_class ) ) |
% 0.54/0.74 ( member @ Y @ ( unordered_pair @ X @ Y ) ))).
% 0.54/0.74 thf(zip_derived_cl7, plain,
% 0.54/0.74 (![X0 : $i, X1 : $i]:
% 0.54/0.74 (~ (member @ X0 @ universal_class)
% 0.54/0.74 | (member @ X0 @ (unordered_pair @ X1 @ X0)))),
% 0.54/0.74 inference('cnf', [status(esa)], [unordered_pair3])).
% 0.54/0.74 thf(zip_derived_cl250, plain,
% 0.54/0.74 ((((y) = (x)) | ((y) = (z)) | ~ (member @ y @ universal_class))),
% 0.54/0.74 inference('sup+', [status(thm)], [zip_derived_cl226, zip_derived_cl7])).
% 0.54/0.74 thf(cartesian_product1, axiom,
% 0.54/0.74 (( ~( member @ ( ordered_pair @ U @ V ) @ ( cross_product @ X @ Y ) ) ) |
% 0.54/0.74 ( member @ U @ X ))).
% 0.54/0.74 thf(zip_derived_cl11, plain,
% 0.54/0.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.54/0.74 (~ (member @ (ordered_pair @ X0 @ X1) @ (cross_product @ X2 @ X3))
% 0.54/0.74 | (member @ X0 @ X2))),
% 0.54/0.74 inference('cnf', [status(esa)], [cartesian_product1])).
% 0.54/0.74 thf(prove_left_cancellation_2, conjecture,
% 0.54/0.74 (~( member @
% 0.54/0.74 ( ordered_pair @ y @ z ) @
% 0.54/0.74 ( cross_product @ universal_class @ universal_class ) ))).
% 0.54/0.74 thf(zf_stmt_1, negated_conjecture,
% 0.54/0.74 (member @
% 0.54/0.74 ( ordered_pair @ y @ z ) @
% 0.54/0.74 ( cross_product @ universal_class @ universal_class )),
% 0.54/0.74 inference('cnf.neg', [status(esa)], [prove_left_cancellation_2])).
% 0.54/0.74 thf(zip_derived_cl48, plain,
% 0.54/0.74 ( (member @ (ordered_pair @ y @ z) @
% 0.54/0.74 (cross_product @ universal_class @ universal_class))),
% 0.54/0.74 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.54/0.74 thf(zip_derived_cl240, plain, ( (member @ y @ universal_class)),
% 0.54/0.74 inference('sup+', [status(thm)], [zip_derived_cl11, zip_derived_cl48])).
% 0.54/0.74 thf(zip_derived_cl253, plain, ((((y) = (x)) | ((y) = (z)))),
% 0.54/0.74 inference('demod', [status(thm)], [zip_derived_cl250, zip_derived_cl240])).
% 0.54/0.74 thf(prove_left_cancellation_3, conjecture, (( y ) = ( z ))).
% 0.54/0.74 thf(zf_stmt_2, negated_conjecture, (( y ) != ( z )),
% 0.54/0.74 inference('cnf.neg', [status(esa)], [prove_left_cancellation_3])).
% 0.54/0.74 thf(zip_derived_cl47, plain, (((y) != (z))),
% 0.54/0.74 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.54/0.74 thf(zip_derived_cl254, plain, (((y) = (x))),
% 0.54/0.74 inference('simplify_reflect-', [status(thm)],
% 0.54/0.74 [zip_derived_cl253, zip_derived_cl47])).
% 0.54/0.74 thf(zip_derived_cl9, plain,
% 0.54/0.74 (![X0 : $i]: ((unordered_pair @ X0 @ X0) = (singleton @ X0))),
% 0.54/0.74 inference('cnf', [status(esa)], [singleton_set])).
% 0.54/0.74 thf(zip_derived_cl259, plain, (((singleton @ x) = (unordered_pair @ x @ z))),
% 0.54/0.74 inference('demod', [status(thm)],
% 0.54/0.74 [zip_derived_cl49, zip_derived_cl254, zip_derived_cl9])).
% 0.54/0.74 thf(zip_derived_cl7, plain,
% 0.54/0.74 (![X0 : $i, X1 : $i]:
% 0.54/0.74 (~ (member @ X0 @ universal_class)
% 0.54/0.74 | (member @ X0 @ (unordered_pair @ X1 @ X0)))),
% 0.54/0.74 inference('cnf', [status(esa)], [unordered_pair3])).
% 0.54/0.74 thf(zip_derived_cl267, plain,
% 0.54/0.74 (( (member @ z @ (singleton @ x)) | ~ (member @ z @ universal_class))),
% 0.54/0.74 inference('sup+', [status(thm)], [zip_derived_cl259, zip_derived_cl7])).
% 0.54/0.74 thf(zip_derived_cl288, plain,
% 0.54/0.74 ((((z) = (x)) | ~ (member @ z @ universal_class))),
% 0.54/0.74 inference('sup+', [status(thm)], [zip_derived_cl227, zip_derived_cl267])).
% 0.54/0.74 thf(zip_derived_cl47, plain, (((y) != (z))),
% 0.54/0.74 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.54/0.74 thf(zip_derived_cl254, plain, (((y) = (x))),
% 0.54/0.74 inference('simplify_reflect-', [status(thm)],
% 0.54/0.74 [zip_derived_cl253, zip_derived_cl47])).
% 0.54/0.74 thf(zip_derived_cl257, plain, (((x) != (z))),
% 0.54/0.74 inference('demod', [status(thm)], [zip_derived_cl47, zip_derived_cl254])).
% 0.54/0.74 thf(zip_derived_cl289, plain, (~ (member @ z @ universal_class)),
% 0.54/0.74 inference('simplify_reflect-', [status(thm)],
% 0.54/0.74 [zip_derived_cl288, zip_derived_cl257])).
% 0.54/0.74 thf(zip_derived_cl48, plain,
% 0.54/0.74 ( (member @ (ordered_pair @ y @ z) @
% 0.54/0.74 (cross_product @ universal_class @ universal_class))),
% 0.54/0.74 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.54/0.74 thf(zip_derived_cl254, plain, (((y) = (x))),
% 0.54/0.74 inference('simplify_reflect-', [status(thm)],
% 0.54/0.74 [zip_derived_cl253, zip_derived_cl47])).
% 0.54/0.74 thf(zip_derived_cl258, plain,
% 0.54/0.74 ( (member @ (ordered_pair @ x @ z) @
% 0.54/0.74 (cross_product @ universal_class @ universal_class))),
% 0.54/0.74 inference('demod', [status(thm)], [zip_derived_cl48, zip_derived_cl254])).
% 0.54/0.74 thf(ordered_pair, axiom,
% 0.54/0.74 (( unordered_pair @
% 0.54/0.74 ( singleton @ X ) @ ( unordered_pair @ X @ ( singleton @ Y ) ) ) =
% 0.54/0.74 ( ordered_pair @ X @ Y ))).
% 0.54/0.74 thf(zip_derived_cl10, plain,
% 0.54/0.74 (![X0 : $i, X1 : $i]:
% 0.54/0.74 ((unordered_pair @ (singleton @ X0) @
% 0.54/0.74 (unordered_pair @ X0 @ (singleton @ X1))) = (ordered_pair @ X0 @ X1))),
% 0.54/0.74 inference('cnf', [status(esa)], [ordered_pair])).
% 0.54/0.74 thf(zip_derived_cl276, plain,
% 0.54/0.74 ( (member @
% 0.54/0.74 (unordered_pair @ (singleton @ x) @
% 0.54/0.74 (unordered_pair @ x @ (singleton @ z))) @
% 0.54/0.74 (cross_product @ universal_class @ universal_class))),
% 0.54/0.74 inference('demod', [status(thm)], [zip_derived_cl258, zip_derived_cl10])).
% 0.54/0.74 thf(cartesian_product2, axiom,
% 0.54/0.74 (( ~( member @ ( ordered_pair @ U @ V ) @ ( cross_product @ X @ Y ) ) ) |
% 0.54/0.74 ( member @ V @ Y ))).
% 0.54/0.74 thf(zip_derived_cl12, plain,
% 0.54/0.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.54/0.74 (~ (member @ (ordered_pair @ X0 @ X1) @ (cross_product @ X2 @ X3))
% 0.54/0.74 | (member @ X1 @ X3))),
% 0.54/0.74 inference('cnf', [status(esa)], [cartesian_product2])).
% 0.54/0.74 thf(zip_derived_cl10, plain,
% 0.54/0.74 (![X0 : $i, X1 : $i]:
% 0.54/0.74 ((unordered_pair @ (singleton @ X0) @
% 0.54/0.74 (unordered_pair @ X0 @ (singleton @ X1))) = (ordered_pair @ X0 @ X1))),
% 0.54/0.74 inference('cnf', [status(esa)], [ordered_pair])).
% 0.54/0.74 thf(zip_derived_cl281, plain,
% 0.54/0.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.54/0.74 (~ (member @
% 0.54/0.74 (unordered_pair @ (singleton @ X0) @
% 0.54/0.74 (unordered_pair @ X0 @ (singleton @ X1))) @
% 0.54/0.74 (cross_product @ X2 @ X3))
% 0.54/0.74 | (member @ X1 @ X3))),
% 0.54/0.74 inference('demod', [status(thm)], [zip_derived_cl12, zip_derived_cl10])).
% 0.54/0.74 thf(zip_derived_cl308, plain, ( (member @ z @ universal_class)),
% 0.54/0.74 inference('sup-', [status(thm)], [zip_derived_cl276, zip_derived_cl281])).
% 0.54/0.74 thf(zip_derived_cl310, plain, ($false),
% 0.54/0.74 inference('demod', [status(thm)], [zip_derived_cl289, zip_derived_cl308])).
% 0.54/0.74
% 0.54/0.74 % SZS output end Refutation
% 0.54/0.74
% 0.54/0.74
% 0.54/0.74 % Terminating...
% 1.70/0.81 % Runner terminated.
% 1.70/0.82 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------