TSTP Solution File: SET240-6 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET240-6 : 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.TAVhDSmWhx true
% Computer : n019.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 16:13:33 EDT 2023
% Result : Unsatisfiable 0.22s 0.79s
% Output : Refutation 0.22s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SET240-6 : 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.TAVhDSmWhx true
% 0.14/0.35 % Computer : n019.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
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sat Aug 26 12:24:14 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
% 0.22/0.66 % Total configuration time : 435
% 0.22/0.66 % Estimated wc time : 1092
% 0.22/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.22/0.79 % Solved by fo/fo3_bce.sh.
% 0.22/0.79 % BCE start: 45
% 0.22/0.79 % BCE eliminated: 2
% 0.22/0.79 % PE start: 43
% 0.22/0.79 logic: eq
% 0.22/0.79 % PE eliminated: 12
% 0.22/0.79 % done 58 iterations in 0.039s
% 0.22/0.79 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.22/0.79 % SZS output start Refutation
% 0.22/0.79 thf(member_type, type, member: $i > $i > $o).
% 0.22/0.79 thf(u_type, type, u: $i).
% 0.22/0.79 thf(unordered_pair_type, type, unordered_pair: $i > $i > $i).
% 0.22/0.79 thf(x_type, type, x: $i).
% 0.22/0.79 thf(singleton_type, type, singleton: $i > $i).
% 0.22/0.79 thf(intersection_type, type, intersection: $i > $i > $i).
% 0.22/0.79 thf(restrict_type, type, restrict: $i > $i > $i > $i).
% 0.22/0.79 thf(cross_product_type, type, cross_product: $i > $i > $i).
% 0.22/0.79 thf(ordered_pair_type, type, ordered_pair: $i > $i > $i).
% 0.22/0.79 thf(v_type, type, v: $i).
% 0.22/0.79 thf(y_type, type, y: $i).
% 0.22/0.79 thf(xr_type, type, xr: $i).
% 0.22/0.79 thf(prove_restriction_alternate_defn3_2, conjecture, (member @ u @ x)).
% 0.22/0.79 thf(zf_stmt_0, negated_conjecture, (~( member @ u @ x )),
% 0.22/0.79 inference('cnf.neg', [status(esa)], [prove_restriction_alternate_defn3_2])).
% 0.22/0.79 thf(zip_derived_cl43, plain, (~ (member @ u @ x)),
% 0.22/0.79 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.22/0.79 thf(prove_restriction_alternate_defn3_1, conjecture,
% 0.22/0.79 (~( member @ ( ordered_pair @ u @ v ) @ ( restrict @ xr @ x @ y ) ))).
% 0.22/0.79 thf(zf_stmt_1, negated_conjecture,
% 0.22/0.79 (member @ ( ordered_pair @ u @ v ) @ ( restrict @ xr @ x @ y )),
% 0.22/0.79 inference('cnf.neg', [status(esa)], [prove_restriction_alternate_defn3_1])).
% 0.22/0.79 thf(zip_derived_cl44, plain,
% 0.22/0.79 ( (member @ (ordered_pair @ u @ v) @ (restrict @ xr @ x @ y))),
% 0.22/0.79 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.22/0.79 thf(ordered_pair, axiom,
% 0.22/0.79 (( unordered_pair @
% 0.22/0.79 ( singleton @ X ) @ ( unordered_pair @ X @ ( singleton @ Y ) ) ) =
% 0.22/0.79 ( ordered_pair @ X @ Y ))).
% 0.22/0.79 thf(zip_derived_cl6, plain,
% 0.22/0.79 (![X0 : $i, X1 : $i]:
% 0.22/0.79 ((unordered_pair @ (singleton @ X0) @
% 0.22/0.79 (unordered_pair @ X0 @ (singleton @ X1))) = (ordered_pair @ X0 @ X1))),
% 0.22/0.79 inference('cnf', [status(esa)], [ordered_pair])).
% 0.22/0.79 thf(zip_derived_cl217, plain,
% 0.22/0.79 ( (member @
% 0.22/0.79 (unordered_pair @ (singleton @ u) @
% 0.22/0.79 (unordered_pair @ u @ (singleton @ v))) @
% 0.22/0.79 (restrict @ xr @ x @ y))),
% 0.22/0.79 inference('demod', [status(thm)], [zip_derived_cl44, zip_derived_cl6])).
% 0.22/0.79 thf(restriction1, axiom,
% 0.22/0.79 (( intersection @ Xr @ ( cross_product @ X @ Y ) ) =
% 0.22/0.79 ( restrict @ Xr @ X @ Y ))).
% 0.22/0.79 thf(zip_derived_cl16, plain,
% 0.22/0.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.22/0.79 ((intersection @ X0 @ (cross_product @ X1 @ X2))
% 0.22/0.79 = (restrict @ X0 @ X1 @ X2))),
% 0.22/0.79 inference('cnf', [status(esa)], [restriction1])).
% 0.22/0.79 thf(zip_derived_cl245, plain,
% 0.22/0.79 ( (member @
% 0.22/0.79 (unordered_pair @ (singleton @ u) @
% 0.22/0.79 (unordered_pair @ u @ (singleton @ v))) @
% 0.22/0.79 (intersection @ xr @ (cross_product @ x @ y)))),
% 0.22/0.79 inference('demod', [status(thm)], [zip_derived_cl217, zip_derived_cl16])).
% 0.22/0.79 thf(intersection2, axiom,
% 0.22/0.79 (( ~( member @ Z @ ( intersection @ X @ Y ) ) ) | ( member @ Z @ Y ))).
% 0.22/0.79 thf(zip_derived_cl14, plain,
% 0.22/0.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.22/0.79 (~ (member @ X0 @ (intersection @ X1 @ X2)) | (member @ X0 @ X2))),
% 0.22/0.79 inference('cnf', [status(esa)], [intersection2])).
% 0.22/0.79 thf(zip_derived_cl293, plain,
% 0.22/0.79 ( (member @
% 0.22/0.79 (unordered_pair @ (singleton @ u) @
% 0.22/0.79 (unordered_pair @ u @ (singleton @ v))) @
% 0.22/0.79 (cross_product @ x @ y))),
% 0.22/0.79 inference('sup-', [status(thm)], [zip_derived_cl245, zip_derived_cl14])).
% 0.22/0.79 thf(cartesian_product1, axiom,
% 0.22/0.79 (( ~( member @ ( ordered_pair @ U @ V ) @ ( cross_product @ X @ Y ) ) ) |
% 0.22/0.79 ( member @ U @ X ))).
% 0.22/0.79 thf(zip_derived_cl7, plain,
% 0.22/0.79 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.22/0.79 (~ (member @ (ordered_pair @ X0 @ X1) @ (cross_product @ X2 @ X3))
% 0.22/0.79 | (member @ X0 @ X2))),
% 0.22/0.79 inference('cnf', [status(esa)], [cartesian_product1])).
% 0.22/0.79 thf(zip_derived_cl6, plain,
% 0.22/0.79 (![X0 : $i, X1 : $i]:
% 0.22/0.79 ((unordered_pair @ (singleton @ X0) @
% 0.22/0.79 (unordered_pair @ X0 @ (singleton @ X1))) = (ordered_pair @ X0 @ X1))),
% 0.22/0.79 inference('cnf', [status(esa)], [ordered_pair])).
% 0.22/0.79 thf(zip_derived_cl222, plain,
% 0.22/0.79 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.22/0.79 (~ (member @
% 0.22/0.79 (unordered_pair @ (singleton @ X0) @
% 0.22/0.79 (unordered_pair @ X0 @ (singleton @ X1))) @
% 0.22/0.79 (cross_product @ X2 @ X3))
% 0.22/0.79 | (member @ X0 @ X2))),
% 0.22/0.79 inference('demod', [status(thm)], [zip_derived_cl7, zip_derived_cl6])).
% 0.22/0.79 thf(zip_derived_cl298, plain, ( (member @ u @ x)),
% 0.22/0.79 inference('sup-', [status(thm)], [zip_derived_cl293, zip_derived_cl222])).
% 0.22/0.79 thf(zip_derived_cl302, plain, ($false),
% 0.22/0.79 inference('demod', [status(thm)], [zip_derived_cl43, zip_derived_cl298])).
% 0.22/0.79
% 0.22/0.79 % SZS output end Refutation
% 0.22/0.79
% 0.22/0.79
% 0.22/0.79 % Terminating...
% 1.59/0.86 % Runner terminated.
% 1.59/0.87 % Zipperpin 1.5 exiting
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