TSTP Solution File: SET017-6 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET017-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.AmvRytgc3D true
% Computer : n013.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 Aug 31 16:11:47 EDT 2023
% Result : Unsatisfiable 0.22s 0.78s
% Output : Refutation 0.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SET017-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.AmvRytgc3D true
% 0.15/0.35 % Computer : n013.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Sat Aug 26 15:58:17 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % Running portfolio for 300 s
% 0.15/0.36 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.36 % Number of cores: 8
% 0.15/0.36 % Python version: Python 3.6.8
% 0.15/0.36 % Running in FO mode
% 0.22/0.64 % Total configuration time : 435
% 0.22/0.64 % Estimated wc time : 1092
% 0.22/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.72 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.72 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.77 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.78 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.78 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.78 % Solved by fo/fo3_bce.sh.
% 0.22/0.78 % BCE start: 50
% 0.22/0.78 % BCE eliminated: 4
% 0.22/0.78 % PE start: 46
% 0.22/0.78 logic: eq
% 0.22/0.78 % PE eliminated: 11
% 0.22/0.78 % done 68 iterations in 0.030s
% 0.22/0.78 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.22/0.78 % SZS output start Refutation
% 0.22/0.78 thf(universal_class_type, type, universal_class: $i).
% 0.22/0.78 thf(member_type, type, member: $i > $i > $o).
% 0.22/0.78 thf(x_type, type, x: $i).
% 0.22/0.78 thf(unordered_pair_type, type, unordered_pair: $i > $i > $i).
% 0.22/0.78 thf(z_type, type, z: $i).
% 0.22/0.78 thf(y_type, type, y: $i).
% 0.22/0.78 thf(singleton_type, type, singleton: $i > $i).
% 0.22/0.78 thf(cross_product_type, type, cross_product: $i > $i > $i).
% 0.22/0.78 thf(ordered_pair_type, type, ordered_pair: $i > $i > $i).
% 0.22/0.78 thf(singleton_set, axiom, (( unordered_pair @ X @ X ) = ( singleton @ X ))).
% 0.22/0.78 thf(zip_derived_cl9, plain,
% 0.22/0.78 (![X0 : $i]: ((unordered_pair @ X0 @ X0) = (singleton @ X0))),
% 0.22/0.78 inference('cnf', [status(esa)], [singleton_set])).
% 0.22/0.78 thf(unordered_pair_member, axiom,
% 0.22/0.78 (( ~( member @ U @ ( unordered_pair @ X @ Y ) ) ) | ( ( U ) = ( X ) ) |
% 0.22/0.78 ( ( U ) = ( Y ) ))).
% 0.22/0.78 thf(zip_derived_cl5, plain,
% 0.22/0.78 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.22/0.78 (~ (member @ X0 @ (unordered_pair @ X1 @ X2))
% 0.22/0.78 | ((X0) = (X1))
% 0.22/0.78 | ((X0) = (X2)))),
% 0.22/0.78 inference('cnf', [status(esa)], [unordered_pair_member])).
% 0.22/0.78 thf(zip_derived_cl225, plain,
% 0.22/0.78 (![X0 : $i, X1 : $i]:
% 0.22/0.78 (~ (member @ X1 @ (singleton @ X0)) | ((X1) = (X0)) | ((X1) = (X0)))),
% 0.22/0.78 inference('sup-', [status(thm)], [zip_derived_cl9, zip_derived_cl5])).
% 0.22/0.78 thf(zip_derived_cl227, plain,
% 0.22/0.78 (![X0 : $i, X1 : $i]:
% 0.22/0.78 (((X1) = (X0)) | ~ (member @ X1 @ (singleton @ X0)))),
% 0.22/0.78 inference('simplify', [status(thm)], [zip_derived_cl225])).
% 0.22/0.78 thf(prove_left_cancellation_1, conjecture,
% 0.22/0.78 (( unordered_pair @ x @ y ) != ( unordered_pair @ x @ z ))).
% 0.22/0.78 thf(zf_stmt_0, negated_conjecture,
% 0.22/0.78 (( unordered_pair @ x @ y ) = ( unordered_pair @ x @ z )),
% 0.22/0.78 inference('cnf.neg', [status(esa)], [prove_left_cancellation_1])).
% 0.22/0.78 thf(zip_derived_cl49, plain,
% 0.22/0.78 (((unordered_pair @ x @ y) = (unordered_pair @ x @ z))),
% 0.22/0.78 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.22/0.78 thf(zip_derived_cl49, plain,
% 0.22/0.78 (((unordered_pair @ x @ y) = (unordered_pair @ x @ z))),
% 0.22/0.78 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.22/0.78 thf(zip_derived_cl5, plain,
% 0.22/0.78 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.22/0.78 (~ (member @ X0 @ (unordered_pair @ X1 @ X2))
% 0.22/0.78 | ((X0) = (X1))
% 0.22/0.78 | ((X0) = (X2)))),
% 0.22/0.78 inference('cnf', [status(esa)], [unordered_pair_member])).
% 0.22/0.78 thf(zip_derived_cl226, plain,
% 0.22/0.78 (![X0 : $i]:
% 0.22/0.78 (~ (member @ X0 @ (unordered_pair @ x @ y))
% 0.22/0.78 | ((X0) = (z))
% 0.22/0.78 | ((X0) = (x)))),
% 0.22/0.78 inference('sup-', [status(thm)], [zip_derived_cl49, zip_derived_cl5])).
% 0.22/0.78 thf(unordered_pair3, axiom,
% 0.22/0.78 (( ~( member @ Y @ universal_class ) ) |
% 0.22/0.78 ( member @ Y @ ( unordered_pair @ X @ Y ) ))).
% 0.22/0.78 thf(zip_derived_cl7, plain,
% 0.22/0.78 (![X0 : $i, X1 : $i]:
% 0.22/0.78 (~ (member @ X0 @ universal_class)
% 0.22/0.78 | (member @ X0 @ (unordered_pair @ X1 @ X0)))),
% 0.22/0.78 inference('cnf', [status(esa)], [unordered_pair3])).
% 0.22/0.78 thf(zip_derived_cl250, plain,
% 0.22/0.78 ((((y) = (x)) | ((y) = (z)) | ~ (member @ y @ universal_class))),
% 0.22/0.78 inference('sup+', [status(thm)], [zip_derived_cl226, zip_derived_cl7])).
% 0.22/0.78 thf(cartesian_product1, axiom,
% 0.22/0.78 (( ~( member @ ( ordered_pair @ U @ V ) @ ( cross_product @ X @ Y ) ) ) |
% 0.22/0.78 ( member @ U @ X ))).
% 0.22/0.78 thf(zip_derived_cl11, plain,
% 0.22/0.78 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.22/0.78 (~ (member @ (ordered_pair @ X0 @ X1) @ (cross_product @ X2 @ X3))
% 0.22/0.78 | (member @ X0 @ X2))),
% 0.22/0.78 inference('cnf', [status(esa)], [cartesian_product1])).
% 0.22/0.78 thf(prove_left_cancellation_2, conjecture,
% 0.22/0.78 (~( member @
% 0.22/0.78 ( ordered_pair @ y @ z ) @
% 0.22/0.78 ( cross_product @ universal_class @ universal_class ) ))).
% 0.22/0.78 thf(zf_stmt_1, negated_conjecture,
% 0.22/0.78 (member @
% 0.22/0.78 ( ordered_pair @ y @ z ) @
% 0.22/0.78 ( cross_product @ universal_class @ universal_class )),
% 0.22/0.78 inference('cnf.neg', [status(esa)], [prove_left_cancellation_2])).
% 0.22/0.78 thf(zip_derived_cl48, plain,
% 0.22/0.78 ( (member @ (ordered_pair @ y @ z) @
% 0.22/0.78 (cross_product @ universal_class @ universal_class))),
% 0.22/0.78 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.22/0.78 thf(zip_derived_cl240, plain, ( (member @ y @ universal_class)),
% 0.22/0.78 inference('sup+', [status(thm)], [zip_derived_cl11, zip_derived_cl48])).
% 0.22/0.78 thf(zip_derived_cl253, plain, ((((y) = (x)) | ((y) = (z)))),
% 0.22/0.78 inference('demod', [status(thm)], [zip_derived_cl250, zip_derived_cl240])).
% 0.22/0.78 thf(prove_left_cancellation_3, conjecture, (( y ) = ( z ))).
% 0.22/0.78 thf(zf_stmt_2, negated_conjecture, (( y ) != ( z )),
% 0.22/0.78 inference('cnf.neg', [status(esa)], [prove_left_cancellation_3])).
% 0.22/0.78 thf(zip_derived_cl47, plain, (((y) != (z))),
% 0.22/0.78 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.22/0.78 thf(zip_derived_cl254, plain, (((y) = (x))),
% 0.22/0.78 inference('simplify_reflect-', [status(thm)],
% 0.22/0.78 [zip_derived_cl253, zip_derived_cl47])).
% 0.22/0.78 thf(zip_derived_cl9, plain,
% 0.22/0.78 (![X0 : $i]: ((unordered_pair @ X0 @ X0) = (singleton @ X0))),
% 0.22/0.78 inference('cnf', [status(esa)], [singleton_set])).
% 0.22/0.78 thf(zip_derived_cl259, plain, (((singleton @ x) = (unordered_pair @ x @ z))),
% 0.22/0.78 inference('demod', [status(thm)],
% 0.22/0.78 [zip_derived_cl49, zip_derived_cl254, zip_derived_cl9])).
% 0.22/0.78 thf(zip_derived_cl7, plain,
% 0.22/0.78 (![X0 : $i, X1 : $i]:
% 0.22/0.78 (~ (member @ X0 @ universal_class)
% 0.22/0.78 | (member @ X0 @ (unordered_pair @ X1 @ X0)))),
% 0.22/0.78 inference('cnf', [status(esa)], [unordered_pair3])).
% 0.22/0.78 thf(zip_derived_cl267, plain,
% 0.22/0.78 (( (member @ z @ (singleton @ x)) | ~ (member @ z @ universal_class))),
% 0.22/0.78 inference('sup+', [status(thm)], [zip_derived_cl259, zip_derived_cl7])).
% 0.22/0.78 thf(zip_derived_cl288, plain,
% 0.22/0.78 ((((z) = (x)) | ~ (member @ z @ universal_class))),
% 0.22/0.78 inference('sup+', [status(thm)], [zip_derived_cl227, zip_derived_cl267])).
% 0.22/0.78 thf(zip_derived_cl47, plain, (((y) != (z))),
% 0.22/0.78 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.22/0.78 thf(zip_derived_cl254, plain, (((y) = (x))),
% 0.22/0.78 inference('simplify_reflect-', [status(thm)],
% 0.22/0.78 [zip_derived_cl253, zip_derived_cl47])).
% 0.22/0.78 thf(zip_derived_cl257, plain, (((x) != (z))),
% 0.22/0.78 inference('demod', [status(thm)], [zip_derived_cl47, zip_derived_cl254])).
% 0.22/0.78 thf(zip_derived_cl289, plain, (~ (member @ z @ universal_class)),
% 0.22/0.78 inference('simplify_reflect-', [status(thm)],
% 0.22/0.78 [zip_derived_cl288, zip_derived_cl257])).
% 0.22/0.78 thf(zip_derived_cl48, plain,
% 0.22/0.78 ( (member @ (ordered_pair @ y @ z) @
% 0.22/0.78 (cross_product @ universal_class @ universal_class))),
% 0.22/0.78 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.22/0.78 thf(zip_derived_cl254, plain, (((y) = (x))),
% 0.22/0.78 inference('simplify_reflect-', [status(thm)],
% 0.22/0.78 [zip_derived_cl253, zip_derived_cl47])).
% 0.22/0.78 thf(zip_derived_cl258, plain,
% 0.22/0.78 ( (member @ (ordered_pair @ x @ z) @
% 0.22/0.78 (cross_product @ universal_class @ universal_class))),
% 0.22/0.78 inference('demod', [status(thm)], [zip_derived_cl48, zip_derived_cl254])).
% 0.22/0.78 thf(ordered_pair, axiom,
% 0.22/0.78 (( unordered_pair @
% 0.22/0.78 ( singleton @ X ) @ ( unordered_pair @ X @ ( singleton @ Y ) ) ) =
% 0.22/0.78 ( ordered_pair @ X @ Y ))).
% 0.22/0.78 thf(zip_derived_cl10, plain,
% 0.22/0.78 (![X0 : $i, X1 : $i]:
% 0.22/0.78 ((unordered_pair @ (singleton @ X0) @
% 0.22/0.78 (unordered_pair @ X0 @ (singleton @ X1))) = (ordered_pair @ X0 @ X1))),
% 0.22/0.78 inference('cnf', [status(esa)], [ordered_pair])).
% 0.22/0.78 thf(zip_derived_cl276, plain,
% 0.22/0.78 ( (member @
% 0.22/0.78 (unordered_pair @ (singleton @ x) @
% 0.22/0.78 (unordered_pair @ x @ (singleton @ z))) @
% 0.22/0.78 (cross_product @ universal_class @ universal_class))),
% 0.22/0.78 inference('demod', [status(thm)], [zip_derived_cl258, zip_derived_cl10])).
% 0.22/0.78 thf(cartesian_product2, axiom,
% 0.22/0.78 (( ~( member @ ( ordered_pair @ U @ V ) @ ( cross_product @ X @ Y ) ) ) |
% 0.22/0.78 ( member @ V @ Y ))).
% 0.22/0.78 thf(zip_derived_cl12, plain,
% 0.22/0.78 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.22/0.78 (~ (member @ (ordered_pair @ X0 @ X1) @ (cross_product @ X2 @ X3))
% 0.22/0.78 | (member @ X1 @ X3))),
% 0.22/0.78 inference('cnf', [status(esa)], [cartesian_product2])).
% 0.22/0.78 thf(zip_derived_cl10, plain,
% 0.22/0.78 (![X0 : $i, X1 : $i]:
% 0.22/0.78 ((unordered_pair @ (singleton @ X0) @
% 0.22/0.78 (unordered_pair @ X0 @ (singleton @ X1))) = (ordered_pair @ X0 @ X1))),
% 0.22/0.78 inference('cnf', [status(esa)], [ordered_pair])).
% 0.22/0.78 thf(zip_derived_cl281, plain,
% 0.22/0.78 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.22/0.78 (~ (member @
% 0.22/0.78 (unordered_pair @ (singleton @ X0) @
% 0.22/0.78 (unordered_pair @ X0 @ (singleton @ X1))) @
% 0.22/0.78 (cross_product @ X2 @ X3))
% 0.22/0.78 | (member @ X1 @ X3))),
% 0.22/0.78 inference('demod', [status(thm)], [zip_derived_cl12, zip_derived_cl10])).
% 0.22/0.78 thf(zip_derived_cl308, plain, ( (member @ z @ universal_class)),
% 0.22/0.78 inference('sup-', [status(thm)], [zip_derived_cl276, zip_derived_cl281])).
% 0.22/0.78 thf(zip_derived_cl310, plain, ($false),
% 0.22/0.78 inference('demod', [status(thm)], [zip_derived_cl289, zip_derived_cl308])).
% 0.22/0.78
% 0.22/0.78 % SZS output end Refutation
% 0.22/0.78
% 0.22/0.78
% 0.22/0.78 % Terminating...
% 1.03/0.85 % Runner terminated.
% 1.03/0.87 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------