TSTP Solution File: SET075-6 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET075-6 : 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.gbfo25TGDR true
% Computer : n021.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 16:12:27 EDT 2023
% Result : Unsatisfiable 1.22s 0.81s
% Output : Refutation 1.22s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : SET075-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.13/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.gbfo25TGDR true
% 0.14/0.35 % Computer : n021.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 12:49:56 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % Running portfolio for 300 s
% 0.14/0.36 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.36 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.22/0.36 % Running in FO mode
% 0.22/0.67 % Total configuration time : 435
% 0.22/0.67 % Estimated wc time : 1092
% 0.22/0.67 % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.74 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.74 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.75 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.76 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.76 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.78 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.22/0.80 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.22/0.81 % Solved by fo/fo1_av.sh.
% 1.22/0.81 % done 86 iterations in 0.041s
% 1.22/0.81 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.22/0.81 % SZS output start Refutation
% 1.22/0.81 thf(universal_class_type, type, universal_class: $i).
% 1.22/0.81 thf(null_class_type, type, null_class: $i).
% 1.22/0.81 thf(member_type, type, member: $i > $i > $o).
% 1.22/0.81 thf(x_type, type, x: $i).
% 1.22/0.81 thf(unordered_pair_type, type, unordered_pair: $i > $i > $i).
% 1.22/0.81 thf(complement_type, type, complement: $i > $i).
% 1.22/0.81 thf(u_type, type, u: $i).
% 1.22/0.81 thf(y_type, type, y: $i).
% 1.22/0.81 thf(v_type, type, v: $i).
% 1.22/0.81 thf(intersection_type, type, intersection: $i > $i > $i).
% 1.22/0.81 thf(subclass_type, type, subclass: $i > $i > $o).
% 1.22/0.81 thf(cross_product_type, type, cross_product: $i > $i > $i).
% 1.22/0.81 thf(ordered_pair_type, type, ordered_pair: $i > $i > $i).
% 1.22/0.81 thf(regular_type, type, regular: $i > $i).
% 1.22/0.81 thf(prove_corollary_to_unordered_pair_axiom3_2, conjecture,
% 1.22/0.81 (( unordered_pair @ x @ y ) != ( null_class ))).
% 1.22/0.81 thf(zf_stmt_0, negated_conjecture,
% 1.22/0.81 (( unordered_pair @ x @ y ) = ( null_class )),
% 1.22/0.81 inference('cnf.neg', [status(esa)],
% 1.22/0.81 [prove_corollary_to_unordered_pair_axiom3_2])).
% 1.22/0.81 thf(zip_derived_cl92, plain, (((unordered_pair @ x @ y) = (null_class))),
% 1.22/0.81 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.22/0.81 thf(unordered_pair2, axiom,
% 1.22/0.81 (( ~( member @ X @ universal_class ) ) |
% 1.22/0.81 ( member @ X @ ( unordered_pair @ X @ Y ) ))).
% 1.22/0.81 thf(zip_derived_cl8, plain,
% 1.22/0.81 (![X0 : $i, X1 : $i]:
% 1.22/0.81 (~ (member @ X0 @ universal_class)
% 1.22/0.81 | (member @ X0 @ (unordered_pair @ X0 @ X1)))),
% 1.22/0.81 inference('cnf', [status(esa)], [unordered_pair2])).
% 1.22/0.81 thf(zip_derived_cl156, plain,
% 1.22/0.81 ((~ (member @ x @ universal_class) | (member @ x @ null_class))),
% 1.22/0.81 inference('s_sup+', [status(thm)], [zip_derived_cl92, zip_derived_cl8])).
% 1.22/0.81 thf(zip_derived_cl158, plain,
% 1.22/0.81 ((~ (member @ x @ universal_class))
% 1.22/0.81 <= (~ ( (member @ x @ universal_class)))),
% 1.22/0.81 inference('split', [status(esa)], [zip_derived_cl156])).
% 1.22/0.81 thf(zip_derived_cl157, plain,
% 1.22/0.81 (( (member @ x @ null_class)) <= (( (member @ x @ null_class)))),
% 1.22/0.81 inference('split', [status(esa)], [zip_derived_cl156])).
% 1.22/0.81 thf(regularity2, axiom,
% 1.22/0.81 (( ( X ) = ( null_class ) ) |
% 1.22/0.81 ( ( intersection @ X @ ( regular @ X ) ) = ( null_class ) ))).
% 1.22/0.81 thf(zip_derived_cl66, plain,
% 1.22/0.81 (![X0 : $i]:
% 1.22/0.81 (((X0) = (null_class))
% 1.22/0.81 | ((intersection @ X0 @ (regular @ X0)) = (null_class)))),
% 1.22/0.81 inference('cnf', [status(esa)], [regularity2])).
% 1.22/0.81 thf(intersection1, axiom,
% 1.22/0.81 (( ~( member @ Z @ ( intersection @ X @ Y ) ) ) | ( member @ Z @ X ))).
% 1.22/0.81 thf(zip_derived_cl20, plain,
% 1.22/0.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.22/0.81 (~ (member @ X0 @ (intersection @ X1 @ X2)) | (member @ X0 @ X1))),
% 1.22/0.81 inference('cnf', [status(esa)], [intersection1])).
% 1.22/0.81 thf(zip_derived_cl140, plain,
% 1.22/0.81 (![X0 : $i, X1 : $i]:
% 1.22/0.81 (((X0) = (null_class))
% 1.22/0.81 | ~ (member @ X1 @ null_class)
% 1.22/0.81 | (member @ X1 @ X0))),
% 1.22/0.81 inference('s_sup-', [status(thm)], [zip_derived_cl66, zip_derived_cl20])).
% 1.22/0.81 thf(zip_derived_cl160, plain,
% 1.22/0.81 ((![X0 : $i]: (((X0) = (null_class)) | (member @ x @ X0)))
% 1.22/0.81 <= (( (member @ x @ null_class)))),
% 1.22/0.81 inference('s_sup-', [status(thm)], [zip_derived_cl157, zip_derived_cl140])).
% 1.22/0.81 thf(complement1, axiom,
% 1.22/0.81 (( ~( member @ Z @ ( complement @ X ) ) ) | ( ~( member @ Z @ X ) ))).
% 1.22/0.81 thf(zip_derived_cl23, plain,
% 1.22/0.81 (![X0 : $i, X1 : $i]:
% 1.22/0.81 (~ (member @ X0 @ (complement @ X1)) | ~ (member @ X0 @ X1))),
% 1.22/0.81 inference('cnf', [status(esa)], [complement1])).
% 1.22/0.81 thf(zip_derived_cl167, plain,
% 1.22/0.81 ((![X0 : $i]: (((complement @ X0) = (null_class)) | ~ (member @ x @ X0)))
% 1.22/0.81 <= (( (member @ x @ null_class)))),
% 1.22/0.81 inference('s_sup-', [status(thm)], [zip_derived_cl160, zip_derived_cl23])).
% 1.22/0.81 thf(zip_derived_cl23, plain,
% 1.22/0.81 (![X0 : $i, X1 : $i]:
% 1.22/0.81 (~ (member @ X0 @ (complement @ X1)) | ~ (member @ X0 @ X1))),
% 1.22/0.81 inference('cnf', [status(esa)], [complement1])).
% 1.22/0.81 thf(zip_derived_cl170, plain,
% 1.22/0.81 ((![X0 : $i, X1 : $i]:
% 1.22/0.81 (~ (member @ x @ X0)
% 1.22/0.81 | ~ (member @ X1 @ null_class)
% 1.22/0.81 | ~ (member @ X1 @ X0)))
% 1.22/0.81 <= (( (member @ x @ null_class)))),
% 1.22/0.81 inference('s_sup-', [status(thm)], [zip_derived_cl167, zip_derived_cl23])).
% 1.22/0.81 thf(zip_derived_cl190, plain,
% 1.22/0.81 (((~ (member @ x @ null_class) | ~ (member @ x @ null_class)))
% 1.22/0.81 <= (( (member @ x @ null_class)))),
% 1.22/0.81 inference('eq_fact', [status(thm)], [zip_derived_cl170])).
% 1.22/0.81 thf(zip_derived_cl192, plain,
% 1.22/0.81 ((~ (member @ x @ null_class)) <= (( (member @ x @ null_class)))),
% 1.22/0.81 inference('simplify', [status(thm)], [zip_derived_cl190])).
% 1.22/0.81 thf(zip_derived_cl157, plain,
% 1.22/0.81 (( (member @ x @ null_class)) <= (( (member @ x @ null_class)))),
% 1.22/0.81 inference('split', [status(esa)], [zip_derived_cl156])).
% 1.22/0.81 thf('0', plain, (~ ( (member @ x @ null_class))),
% 1.22/0.81 inference('demod', [status(thm)], [zip_derived_cl192, zip_derived_cl157])).
% 1.22/0.81 thf('1', plain,
% 1.22/0.81 (~ ( (member @ x @ universal_class)) | ( (member @ x @ null_class))),
% 1.22/0.81 inference('split', [status(esa)], [zip_derived_cl156])).
% 1.22/0.81 thf('2', plain, (~ ( (member @ x @ universal_class))),
% 1.22/0.81 inference('sat_resolution*', [status(thm)], ['0', '1'])).
% 1.22/0.81 thf(zip_derived_cl201, plain, (~ (member @ x @ universal_class)),
% 1.22/0.81 inference('simpl_trail', [status(thm)], [zip_derived_cl158, '2'])).
% 1.22/0.81 thf(prove_corollary_to_unordered_pair_axiom3_1, conjecture,
% 1.22/0.81 (~( member @ ( ordered_pair @ x @ y ) @ ( cross_product @ u @ v ) ))).
% 1.22/0.81 thf(zf_stmt_1, negated_conjecture,
% 1.22/0.81 (member @ ( ordered_pair @ x @ y ) @ ( cross_product @ u @ v )),
% 1.22/0.81 inference('cnf.neg', [status(esa)],
% 1.22/0.81 [prove_corollary_to_unordered_pair_axiom3_1])).
% 1.22/0.81 thf(zip_derived_cl91, plain,
% 1.22/0.81 ( (member @ (ordered_pair @ x @ y) @ (cross_product @ u @ v))),
% 1.22/0.81 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.22/0.81 thf(cartesian_product1, axiom,
% 1.22/0.81 (( ~( member @ ( ordered_pair @ U @ V ) @ ( cross_product @ X @ Y ) ) ) |
% 1.22/0.81 ( member @ U @ X ))).
% 1.22/0.81 thf(zip_derived_cl13, plain,
% 1.22/0.81 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.22/0.81 (~ (member @ (ordered_pair @ X0 @ X1) @ (cross_product @ X2 @ X3))
% 1.22/0.81 | (member @ X0 @ X2))),
% 1.22/0.81 inference('cnf', [status(esa)], [cartesian_product1])).
% 1.22/0.81 thf(zip_derived_cl242, plain, ( (member @ x @ u)),
% 1.22/0.81 inference('s_sup-', [status(thm)], [zip_derived_cl91, zip_derived_cl13])).
% 1.22/0.81 thf(class_elements_are_sets, axiom, (subclass @ X @ universal_class)).
% 1.22/0.81 thf(zip_derived_cl3, plain, (![X0 : $i]: (subclass @ X0 @ universal_class)),
% 1.22/0.81 inference('cnf', [status(esa)], [class_elements_are_sets])).
% 1.22/0.81 thf(subclass_members, axiom,
% 1.22/0.81 (( ~( subclass @ X @ Y ) ) | ( ~( member @ U @ X ) ) | ( member @ U @ Y ))).
% 1.22/0.81 thf(zip_derived_cl0, plain,
% 1.22/0.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.22/0.81 (~ (subclass @ X0 @ X1) | ~ (member @ X2 @ X0) | (member @ X2 @ X1))),
% 1.22/0.81 inference('cnf', [status(esa)], [subclass_members])).
% 1.22/0.81 thf(zip_derived_cl96, plain,
% 1.22/0.81 (![X0 : $i, X1 : $i]:
% 1.22/0.81 (~ (member @ X1 @ X0) | (member @ X1 @ universal_class))),
% 1.22/0.81 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 1.22/0.81 thf(zip_derived_cl247, plain, ( (member @ x @ universal_class)),
% 1.22/0.81 inference('s_sup-', [status(thm)], [zip_derived_cl242, zip_derived_cl96])).
% 1.22/0.81 thf(zip_derived_cl248, plain, ($false),
% 1.22/0.81 inference('demod', [status(thm)], [zip_derived_cl201, zip_derived_cl247])).
% 1.22/0.81
% 1.22/0.81 % SZS output end Refutation
% 1.22/0.81
% 1.22/0.81
% 1.22/0.81 % Terminating...
% 1.38/0.86 % Runner terminated.
% 1.38/0.87 % Zipperpin 1.5 exiting
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