TSTP Solution File: SET204-6 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET204-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.WSENCQRfFD 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 16:13:26 EDT 2023
% Result : Unsatisfiable 0.21s 0.78s
% Output : Refutation 0.21s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SET204-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.WSENCQRfFD true
% 0.14/0.35 % Computer : n013.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Sat Aug 26 15:06:47 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % Running portfolio for 300 s
% 0.14/0.36 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.36 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.36 % Running in FO mode
% 0.21/0.65 % Total configuration time : 435
% 0.21/0.65 % Estimated wc time : 1092
% 0.21/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.21/0.78 % Solved by fo/fo3_bce.sh.
% 0.21/0.78 % BCE start: 29
% 0.21/0.78 % BCE eliminated: 0
% 0.21/0.78 % PE start: 29
% 0.21/0.78 logic: eq
% 0.21/0.78 % PE eliminated: 9
% 0.21/0.78 % done 27 iterations in 0.021s
% 0.21/0.78 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.21/0.78 % SZS output start Refutation
% 0.21/0.78 thf(member_type, type, member: $i > $i > $o).
% 0.21/0.78 thf(u_type, type, u: $i).
% 0.21/0.78 thf(unordered_pair_type, type, unordered_pair: $i > $i > $i).
% 0.21/0.78 thf(y_type, type, y: $i).
% 0.21/0.78 thf(singleton_type, type, singleton: $i > $i).
% 0.21/0.78 thf(cross_product_type, type, cross_product: $i > $i > $i).
% 0.21/0.78 thf(ordered_pair_type, type, ordered_pair: $i > $i > $i).
% 0.21/0.78 thf(v_type, type, v: $i).
% 0.21/0.78 thf(x_type, type, x: $i).
% 0.21/0.78 thf(prove_cross_product_property2_2, conjecture,
% 0.21/0.78 (member @ ( ordered_pair @ v @ u ) @ ( cross_product @ y @ x ))).
% 0.21/0.78 thf(zf_stmt_0, negated_conjecture,
% 0.21/0.78 (~( member @ ( ordered_pair @ v @ u ) @ ( cross_product @ y @ x ) )),
% 0.21/0.78 inference('cnf.neg', [status(esa)], [prove_cross_product_property2_2])).
% 0.21/0.78 thf(zip_derived_cl27, plain,
% 0.21/0.78 (~ (member @ (ordered_pair @ v @ u) @ (cross_product @ y @ x))),
% 0.21/0.78 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.21/0.78 thf(ordered_pair, axiom,
% 0.21/0.78 (( unordered_pair @
% 0.21/0.78 ( singleton @ X ) @ ( unordered_pair @ X @ ( singleton @ Y ) ) ) =
% 0.21/0.78 ( ordered_pair @ X @ Y ))).
% 0.21/0.78 thf(zip_derived_cl6, plain,
% 0.21/0.78 (![X0 : $i, X1 : $i]:
% 0.21/0.78 ((unordered_pair @ (singleton @ X0) @
% 0.21/0.78 (unordered_pair @ X0 @ (singleton @ X1))) = (ordered_pair @ X0 @ X1))),
% 0.21/0.78 inference('cnf', [status(esa)], [ordered_pair])).
% 0.21/0.78 thf(zip_derived_cl153, plain,
% 0.21/0.78 (~ (member @
% 0.21/0.78 (unordered_pair @ (singleton @ v) @
% 0.21/0.78 (unordered_pair @ v @ (singleton @ u))) @
% 0.21/0.78 (cross_product @ y @ x))),
% 0.21/0.78 inference('demod', [status(thm)], [zip_derived_cl27, zip_derived_cl6])).
% 0.21/0.78 thf(cartesian_product3, axiom,
% 0.21/0.78 (( ~( member @ U @ X ) ) | ( ~( member @ V @ Y ) ) |
% 0.21/0.78 ( member @ ( ordered_pair @ U @ V ) @ ( cross_product @ X @ Y ) ))).
% 0.21/0.78 thf(zip_derived_cl9, plain,
% 0.21/0.78 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.21/0.78 (~ (member @ X0 @ X1)
% 0.21/0.78 | ~ (member @ X2 @ X3)
% 0.21/0.78 | (member @ (ordered_pair @ X0 @ X2) @ (cross_product @ X1 @ X3)))),
% 0.21/0.78 inference('cnf', [status(esa)], [cartesian_product3])).
% 0.21/0.78 thf(zip_derived_cl6, plain,
% 0.21/0.78 (![X0 : $i, X1 : $i]:
% 0.21/0.78 ((unordered_pair @ (singleton @ X0) @
% 0.21/0.78 (unordered_pair @ X0 @ (singleton @ X1))) = (ordered_pair @ X0 @ X1))),
% 0.21/0.78 inference('cnf', [status(esa)], [ordered_pair])).
% 0.21/0.78 thf(zip_derived_cl168, plain,
% 0.21/0.78 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.21/0.78 (~ (member @ X0 @ X1)
% 0.21/0.78 | ~ (member @ X2 @ X3)
% 0.21/0.78 | (member @
% 0.21/0.78 (unordered_pair @ (singleton @ X0) @
% 0.21/0.78 (unordered_pair @ X0 @ (singleton @ X2))) @
% 0.21/0.78 (cross_product @ X1 @ X3)))),
% 0.21/0.78 inference('demod', [status(thm)], [zip_derived_cl9, zip_derived_cl6])).
% 0.21/0.78 thf(zip_derived_cl175, plain, ((~ (member @ u @ x) | ~ (member @ v @ y))),
% 0.21/0.78 inference('sup+', [status(thm)], [zip_derived_cl153, zip_derived_cl168])).
% 0.21/0.78 thf(cartesian_product1, axiom,
% 0.21/0.78 (( ~( member @ ( ordered_pair @ U @ V ) @ ( cross_product @ X @ Y ) ) ) |
% 0.21/0.78 ( member @ U @ X ))).
% 0.21/0.78 thf(zip_derived_cl7, plain,
% 0.21/0.78 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.21/0.78 (~ (member @ (ordered_pair @ X0 @ X1) @ (cross_product @ X2 @ X3))
% 0.21/0.78 | (member @ X0 @ X2))),
% 0.21/0.78 inference('cnf', [status(esa)], [cartesian_product1])).
% 0.21/0.78 thf(prove_cross_product_property2_1, conjecture,
% 0.21/0.78 (~( member @ ( ordered_pair @ u @ v ) @ ( cross_product @ x @ y ) ))).
% 0.21/0.78 thf(zf_stmt_1, negated_conjecture,
% 0.21/0.78 (member @ ( ordered_pair @ u @ v ) @ ( cross_product @ x @ y )),
% 0.21/0.78 inference('cnf.neg', [status(esa)], [prove_cross_product_property2_1])).
% 0.21/0.78 thf(zip_derived_cl28, plain,
% 0.21/0.78 ( (member @ (ordered_pair @ u @ v) @ (cross_product @ x @ y))),
% 0.21/0.78 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.21/0.78 thf(zip_derived_cl142, plain, ( (member @ u @ x)),
% 0.21/0.78 inference('sup+', [status(thm)], [zip_derived_cl7, zip_derived_cl28])).
% 0.21/0.78 thf(zip_derived_cl28, plain,
% 0.21/0.78 ( (member @ (ordered_pair @ u @ v) @ (cross_product @ x @ y))),
% 0.21/0.78 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.21/0.78 thf(zip_derived_cl6, plain,
% 0.21/0.78 (![X0 : $i, X1 : $i]:
% 0.21/0.78 ((unordered_pair @ (singleton @ X0) @
% 0.21/0.78 (unordered_pair @ X0 @ (singleton @ X1))) = (ordered_pair @ X0 @ X1))),
% 0.21/0.78 inference('cnf', [status(esa)], [ordered_pair])).
% 0.21/0.78 thf(zip_derived_cl154, plain,
% 0.21/0.78 ( (member @
% 0.21/0.78 (unordered_pair @ (singleton @ u) @
% 0.21/0.78 (unordered_pair @ u @ (singleton @ v))) @
% 0.21/0.78 (cross_product @ x @ y))),
% 0.21/0.78 inference('demod', [status(thm)], [zip_derived_cl28, zip_derived_cl6])).
% 0.21/0.78 thf(cartesian_product2, axiom,
% 0.21/0.78 (( ~( member @ ( ordered_pair @ U @ V ) @ ( cross_product @ X @ Y ) ) ) |
% 0.21/0.78 ( member @ V @ Y ))).
% 0.21/0.78 thf(zip_derived_cl8, plain,
% 0.21/0.78 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.21/0.78 (~ (member @ (ordered_pair @ X0 @ X1) @ (cross_product @ X2 @ X3))
% 0.21/0.78 | (member @ X1 @ X3))),
% 0.21/0.78 inference('cnf', [status(esa)], [cartesian_product2])).
% 0.21/0.78 thf(zip_derived_cl6, plain,
% 0.21/0.78 (![X0 : $i, X1 : $i]:
% 0.21/0.78 ((unordered_pair @ (singleton @ X0) @
% 0.21/0.78 (unordered_pair @ X0 @ (singleton @ X1))) = (ordered_pair @ X0 @ X1))),
% 0.21/0.78 inference('cnf', [status(esa)], [ordered_pair])).
% 0.21/0.78 thf(zip_derived_cl155, plain,
% 0.21/0.78 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.21/0.78 (~ (member @
% 0.21/0.78 (unordered_pair @ (singleton @ X0) @
% 0.21/0.78 (unordered_pair @ X0 @ (singleton @ X1))) @
% 0.21/0.78 (cross_product @ X2 @ X3))
% 0.21/0.78 | (member @ X1 @ X3))),
% 0.21/0.78 inference('demod', [status(thm)], [zip_derived_cl8, zip_derived_cl6])).
% 0.21/0.78 thf(zip_derived_cl164, plain, ( (member @ v @ y)),
% 0.21/0.78 inference('sup-', [status(thm)], [zip_derived_cl154, zip_derived_cl155])).
% 0.21/0.78 thf(zip_derived_cl177, plain, ($false),
% 0.21/0.78 inference('demod', [status(thm)],
% 0.21/0.78 [zip_derived_cl175, zip_derived_cl142, zip_derived_cl164])).
% 0.21/0.78
% 0.21/0.78 % SZS output end Refutation
% 0.21/0.78
% 0.21/0.78
% 0.21/0.78 % Terminating...
% 1.35/0.85 % Runner terminated.
% 1.35/0.86 % Zipperpin 1.5 exiting
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