%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET084-7 : 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.wiFzCn5zmr true
% Computer : n031.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 04:51:30 PM UTC 2025
% Result : Unsatisfiable 0.51s 0.78s
% Output : Refutation 0.51s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.12 % Problem : SET084-7 : TPTP v9.2.0. Bugfixed v2.1.0.
% 0.02/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.wiFzCn5zmr true
% 0.12/0.34 % Computer : n031.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Wed Oct 1 13:21:23 EDT 2025
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % Running portfolio for 300 s
% 0.12/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.35 % Number of cores: 8
% 0.12/0.35 % Python version: Python 3.6.8
% 0.12/0.35 % 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
% 0.49/0.69 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.49/0.72 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.49/0.73 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.49/0.73 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.49/0.73 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.49/0.73 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.50/0.74 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.51/0.78 % Solved by fo/fo6_bce.sh.
% 0.51/0.78 % BCE start: 129
% 0.51/0.78 % BCE eliminated: 0
% 0.51/0.78 % PE start: 129
% 0.51/0.78 logic: eq
% 0.51/0.78 % PE eliminated: 16
% 0.51/0.78 % done 127 iterations in 0.075s
% 0.51/0.78 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.51/0.78 % SZS output start Refutation
% 0.51/0.78 thf(universal_class_type, type, universal_class: $i).
% 0.51/0.78 thf(null_class_type, type, null_class: $i).
% 0.51/0.78 thf(member_type, type, member: $i > $i > $o).
% 0.51/0.78 thf(unordered_pair_type, type, unordered_pair: $i > $i > $i).
% 0.51/0.78 thf(x_type, type, x: $i).
% 0.51/0.78 thf(singleton_type, type, singleton: $i > $i).
% 0.51/0.78 thf(y_type, type, y: $i).
% 0.51/0.78 thf(singleton_set, axiom, (( unordered_pair @ X @ X ) = ( singleton @ X ))).
% 0.51/0.78 thf(zip_derived_cl11, plain,
% 0.51/0.78 (![X0 : $i]: ((unordered_pair @ X0 @ X0) = (singleton @ X0))),
% 0.51/0.78 inference('cnf', [status(esa)], [singleton_set])).
% 0.51/0.78 thf(unordered_pair2, axiom,
% 0.51/0.78 (( ~( member @ X @ universal_class ) ) |
% 0.51/0.78 ( member @ X @ ( unordered_pair @ X @ Y ) ))).
% 0.51/0.78 thf(zip_derived_cl8, plain,
% 0.51/0.78 (![X0 : $i, X1 : $i]:
% 0.51/0.78 (~ (member @ X0 @ universal_class)
% 0.51/0.78 | (member @ X0 @ (unordered_pair @ X0 @ X1)))),
% 0.51/0.78 inference('cnf', [status(esa)], [unordered_pair2])).
% 0.51/0.78 thf(zip_derived_cl605, plain,
% 0.51/0.78 (![X0 : $i]:
% 0.51/0.78 (~ (member @ X0 @ universal_class) | (member @ X0 @ (singleton @ X0)))),
% 0.51/0.78 inference('s_sup+', [status(thm)], [zip_derived_cl11, zip_derived_cl8])).
% 0.51/0.78 thf(prove_singleton_identified_by_element2_1, conjecture,
% 0.51/0.78 (( singleton @ x ) != ( singleton @ y ))).
% 0.51/0.78 thf(zf_stmt_0, negated_conjecture, (( singleton @ x ) = ( singleton @ y )),
% 0.51/0.78 inference('cnf.neg', [status(esa)],
% 0.51/0.78 [prove_singleton_identified_by_element2_1])).
% 0.51/0.78 thf(zip_derived_cl126, plain, (((singleton @ x) = (singleton @ y))),
% 0.51/0.78 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.51/0.78 thf(only_member_in_singleton, axiom,
% 0.51/0.78 (( ~( member @ Y @ ( singleton @ X ) ) ) | ( ( Y ) = ( X ) ))).
% 0.51/0.78 thf(zip_derived_cl124, plain,
% 0.51/0.78 (![X0 : $i, X1 : $i]:
% 0.51/0.78 (~ (member @ X0 @ (singleton @ X1)) | ((X0) = (X1)))),
% 0.51/0.78 inference('cnf', [status(esa)], [only_member_in_singleton])).
% 0.51/0.78 thf(zip_derived_cl569, plain,
% 0.51/0.78 (![X0 : $i]: (~ (member @ X0 @ (singleton @ x)) | ((X0) = (y)))),
% 0.51/0.78 inference('s_sup-', [status(thm)], [zip_derived_cl126, zip_derived_cl124])).
% 0.51/0.78 thf(zip_derived_cl791, plain,
% 0.51/0.78 ((~ (member @ x @ universal_class) | ((x) = (y)))),
% 0.51/0.78 inference('s_sup-', [status(thm)], [zip_derived_cl605, zip_derived_cl569])).
% 0.51/0.78 thf(singleton_is_null_class, axiom,
% 0.51/0.78 (( member @ X @ universal_class ) | ( ( singleton @ X ) = ( null_class ) ))).
% 0.51/0.78 thf(zip_derived_cl125, plain,
% 0.51/0.78 (![X0 : $i]:
% 0.51/0.78 ( (member @ X0 @ universal_class) | ((singleton @ X0) = (null_class)))),
% 0.51/0.78 inference('cnf', [status(esa)], [singleton_is_null_class])).
% 0.51/0.78 thf(zip_derived_cl126, plain, (((singleton @ x) = (singleton @ y))),
% 0.51/0.78 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.51/0.78 thf(corollary_to_set_in_its_singleton, axiom,
% 0.51/0.78 (( ~( member @ X @ universal_class ) ) |
% 0.51/0.78 ( ( singleton @ X ) != ( null_class ) ))).
% 0.51/0.78 thf(zip_derived_cl122, plain,
% 0.51/0.78 (![X0 : $i]:
% 0.51/0.78 (~ (member @ X0 @ universal_class)
% 0.51/0.78 | ((singleton @ X0) != (null_class)))),
% 0.51/0.78 inference('cnf', [status(esa)], [corollary_to_set_in_its_singleton])).
% 0.51/0.78 thf(zip_derived_cl556, plain,
% 0.51/0.78 ((~ (member @ y @ universal_class) | ((singleton @ x) != (null_class)))),
% 0.51/0.78 inference('s_sup-', [status(thm)], [zip_derived_cl126, zip_derived_cl122])).
% 0.51/0.78 thf(prove_singleton_identified_by_element2_2, conjecture,
% 0.51/0.78 (~( member @ y @ universal_class ))).
% 0.51/0.78 thf(zf_stmt_1, negated_conjecture, (member @ y @ universal_class),
% 0.51/0.78 inference('cnf.neg', [status(esa)],
% 0.51/0.78 [prove_singleton_identified_by_element2_2])).
% 0.51/0.78 thf(zip_derived_cl127, plain, ( (member @ y @ universal_class)),
% 0.51/0.78 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.51/0.78 thf(zip_derived_cl557, plain, (((singleton @ x) != (null_class))),
% 0.51/0.78 inference('demod', [status(thm)], [zip_derived_cl556, zip_derived_cl127])).
% 0.51/0.78 thf(zip_derived_cl660, plain,
% 0.51/0.78 (( (member @ x @ universal_class) | ((null_class) != (null_class)))),
% 0.51/0.78 inference('s_sup-', [status(thm)], [zip_derived_cl125, zip_derived_cl557])).
% 0.51/0.78 thf(zip_derived_cl670, plain, ( (member @ x @ universal_class)),
% 0.51/0.78 inference('simplify', [status(thm)], [zip_derived_cl660])).
% 0.51/0.78 thf(zip_derived_cl795, plain, (((x) = (y))),
% 0.51/0.78 inference('demod', [status(thm)], [zip_derived_cl791, zip_derived_cl670])).
% 0.51/0.78 thf(prove_singleton_identified_by_element2_3, conjecture, (( x ) = ( y ))).
% 0.51/0.78 thf(zf_stmt_2, negated_conjecture, (( x ) != ( y )),
% 0.51/0.78 inference('cnf.neg', [status(esa)],
% 0.51/0.78 [prove_singleton_identified_by_element2_3])).
% 0.51/0.78 thf(zip_derived_cl128, plain, (((x) != (y))),
% 0.51/0.78 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.51/0.78 thf(zip_derived_cl796, plain, ($false),
% 0.51/0.78 inference('simplify_reflect-', [status(thm)],
% 0.51/0.78 [zip_derived_cl795, zip_derived_cl128])).
% 0.51/0.78
% 0.51/0.78 % SZS output end Refutation
% 0.51/0.78
% 0.51/0.78
% 0.51/0.78 % Terminating...
% 1.71/0.83 % Runner terminated.
% 1.71/0.84 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------