TSTP Solution File: SET096-6 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET096-6 : 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.xfWjQE7q7b true
% Computer : n012.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 16:12:41 EDT 2023
% Result : Unsatisfiable 0.21s 0.88s
% Output : Refutation 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SET096-6 : 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.xfWjQE7q7b true
% 0.17/0.35 % Computer : n012.cluster.edu
% 0.17/0.35 % Model : x86_64 x86_64
% 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.35 % Memory : 8042.1875MB
% 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.35 % CPULimit : 300
% 0.17/0.35 % WCLimit : 300
% 0.17/0.35 % DateTime : Sat Aug 26 09:35:55 EDT 2023
% 0.17/0.35 % CPUTime :
% 0.17/0.35 % Running portfolio for 300 s
% 0.17/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.35 % Number of cores: 8
% 0.17/0.36 % Python version: Python 3.6.8
% 0.17/0.36 % Running in FO mode
% 0.21/0.64 % Total configuration time : 435
% 0.21/0.64 % Estimated wc time : 1092
% 0.21/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.70 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.72 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.76 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.76 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.76 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.77 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.77 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.21/0.81 % /export/starexec/sandbox/solver/bin/fo/fo1_lcnf.sh running for 50s
% 0.21/0.88 % Solved by fo/fo1_lcnf.sh.
% 0.21/0.88 % done 75 iterations in 0.037s
% 0.21/0.88 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.21/0.88 % SZS output start Refutation
% 0.21/0.88 thf(null_class_type, type, null_class: $i).
% 0.21/0.88 thf(member_type, type, member: $i > $i > $o).
% 0.21/0.88 thf(x_type, type, x: $i).
% 0.21/0.88 thf(unordered_pair_type, type, unordered_pair: $i > $i > $i).
% 0.21/0.88 thf(y_type, type, y: $i).
% 0.21/0.88 thf(singleton_type, type, singleton: $i > $i).
% 0.21/0.88 thf(subclass_type, type, subclass: $i > $i > $o).
% 0.21/0.88 thf(not_subclass_element_type, type, not_subclass_element: $i > $i > $i).
% 0.21/0.88 thf(regular_type, type, regular: $i > $i).
% 0.21/0.88 thf(singleton_set, axiom, (( unordered_pair @ X @ X ) = ( singleton @ X ))).
% 0.21/0.88 thf(zip_derived_cl11, plain,
% 0.21/0.88 (![X0 : $i]: ((unordered_pair @ X0 @ X0) = (singleton @ X0))),
% 0.21/0.88 inference('cnf', [status(esa)], [singleton_set])).
% 0.21/0.88 thf(unordered_pair_member, axiom,
% 0.21/0.88 (( ~( member @ U @ ( unordered_pair @ X @ Y ) ) ) | ( ( U ) = ( X ) ) |
% 0.21/0.88 ( ( U ) = ( Y ) ))).
% 0.21/0.88 thf(zip_derived_cl7, plain,
% 0.21/0.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.21/0.88 (((((~) @ (member @ X0 @ (unordered_pair @ X1 @ X2)))) |
% 0.21/0.88 (((X0) = (X1))) | (((X0) = (X2)))))),
% 0.21/0.88 inference('cnf', [status(esa)], [unordered_pair_member])).
% 0.21/0.88 thf(zip_derived_cl171, plain,
% 0.21/0.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.21/0.88 (~ (member @ X0 @ (unordered_pair @ X1 @ X2))
% 0.21/0.88 | (((X0) = (X1)))
% 0.21/0.88 | (((X0) = (X2))))),
% 0.21/0.88 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl7])).
% 0.21/0.88 thf(zip_derived_cl172, plain,
% 0.21/0.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.21/0.88 (~ (member @ X0 @ (unordered_pair @ X1 @ X2))
% 0.21/0.88 | ((X0) = (X1))
% 0.21/0.88 | ((X0) = (X2)))),
% 0.21/0.88 inference('simplify nested equalities', [status(thm)],
% 0.21/0.88 [zip_derived_cl171])).
% 0.21/0.88 thf(zip_derived_cl175, plain,
% 0.21/0.88 (![X0 : $i, X1 : $i]:
% 0.21/0.88 (~ (member @ X1 @ (singleton @ X0)) | ((X1) = (X0)) | ((X1) = (X0)))),
% 0.21/0.88 inference('s_sup-', [status(thm)], [zip_derived_cl11, zip_derived_cl172])).
% 0.21/0.88 thf(zip_derived_cl176, plain,
% 0.21/0.88 (![X0 : $i, X1 : $i]:
% 0.21/0.88 (((X1) = (X0)) | ~ (member @ X1 @ (singleton @ X0)))),
% 0.21/0.88 inference('simplify', [status(thm)], [zip_derived_cl175])).
% 0.21/0.88 thf(not_subclass_members1, axiom,
% 0.21/0.88 (( member @ ( not_subclass_element @ X @ Y ) @ X ) | ( subclass @ X @ Y ))).
% 0.21/0.88 thf(zip_derived_cl1, plain,
% 0.21/0.88 (![X0 : $i, X1 : $i]:
% 0.21/0.88 (((member @ (not_subclass_element @ X0 @ X1) @ X0) | (subclass @
% 0.21/0.88 X0 @ X1)))),
% 0.21/0.88 inference('cnf', [status(esa)], [not_subclass_members1])).
% 0.21/0.88 thf(zip_derived_cl100, plain,
% 0.21/0.88 (![X0 : $i, X1 : $i]:
% 0.21/0.88 ( (member @ (not_subclass_element @ X0 @ X1) @ X0)
% 0.21/0.88 | (subclass @ X0 @ X1))),
% 0.21/0.88 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl1])).
% 0.21/0.88 thf(zip_derived_cl178, plain,
% 0.21/0.88 (![X0 : $i, X1 : $i]:
% 0.21/0.88 (((not_subclass_element @ (singleton @ X0) @ X1) = (X0))
% 0.21/0.88 | (subclass @ (singleton @ X0) @ X1))),
% 0.21/0.88 inference('s_sup+', [status(thm)], [zip_derived_cl176, zip_derived_cl100])).
% 0.21/0.88 thf(prove_two_subsets_of_singleton_1, conjecture,
% 0.21/0.88 (~( subclass @ x @ ( singleton @ y ) ))).
% 0.21/0.88 thf(zf_stmt_0, negated_conjecture, (subclass @ x @ ( singleton @ y )),
% 0.21/0.88 inference('cnf.neg', [status(esa)], [prove_two_subsets_of_singleton_1])).
% 0.21/0.88 thf(zip_derived_cl91, plain, ( (subclass @ x @ (singleton @ y))),
% 0.21/0.88 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.21/0.88 thf(subclass_implies_equal, axiom,
% 0.21/0.88 (( ~( subclass @ X @ Y ) ) | ( ~( subclass @ Y @ X ) ) | ( ( X ) = ( Y ) ))).
% 0.21/0.88 thf(zip_derived_cl6, plain,
% 0.21/0.88 (![X0 : $i, X1 : $i]:
% 0.21/0.88 (((((~) @ (subclass @ X0 @ X1))) | (((~) @ (subclass @ X1 @ X0))) |
% 0.21/0.88 (((X0) = (X1)))))),
% 0.21/0.88 inference('cnf', [status(esa)], [subclass_implies_equal])).
% 0.21/0.88 thf(zip_derived_cl137, plain,
% 0.21/0.88 (![X0 : $i, X1 : $i]:
% 0.21/0.88 (~ (subclass @ X0 @ X1) | ~ (subclass @ X1 @ X0) | (((X0) = (X1))))),
% 0.21/0.88 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl6])).
% 0.21/0.88 thf(zip_derived_cl138, plain,
% 0.21/0.88 (![X0 : $i, X1 : $i]:
% 0.21/0.88 (~ (subclass @ X0 @ X1) | ~ (subclass @ X1 @ X0) | ((X0) = (X1)))),
% 0.21/0.88 inference('simplify nested equalities', [status(thm)],
% 0.21/0.88 [zip_derived_cl137])).
% 0.21/0.88 thf(zip_derived_cl145, plain,
% 0.21/0.88 ((~ (subclass @ (singleton @ y) @ x) | ((x) = (singleton @ y)))),
% 0.21/0.88 inference('s_sup-', [status(thm)], [zip_derived_cl91, zip_derived_cl138])).
% 0.21/0.88 thf(prove_two_subsets_of_singleton_3, conjecture,
% 0.21/0.88 (( singleton @ y ) = ( x ))).
% 0.21/0.88 thf(zf_stmt_1, negated_conjecture, (( singleton @ y ) != ( x )),
% 0.21/0.88 inference('cnf.neg', [status(esa)], [prove_two_subsets_of_singleton_3])).
% 0.21/0.88 thf(zip_derived_cl93, plain, (((singleton @ y) != (x))),
% 0.21/0.88 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.21/0.88 thf(zip_derived_cl147, plain, (~ (subclass @ (singleton @ y) @ x)),
% 0.21/0.88 inference('simplify_reflect-', [status(thm)],
% 0.21/0.88 [zip_derived_cl145, zip_derived_cl93])).
% 0.21/0.88 thf(zip_derived_cl211, plain,
% 0.21/0.88 (((not_subclass_element @ (singleton @ y) @ x) = (y))),
% 0.21/0.88 inference('s_sup-', [status(thm)], [zip_derived_cl178, zip_derived_cl147])).
% 0.21/0.88 thf(not_subclass_members2, axiom,
% 0.21/0.88 (( ~( member @ ( not_subclass_element @ X @ Y ) @ Y ) ) |
% 0.21/0.88 ( subclass @ X @ Y ))).
% 0.21/0.88 thf(zip_derived_cl2, plain,
% 0.21/0.88 (![X0 : $i, X1 : $i]:
% 0.21/0.88 (((((~) @ (member @ (not_subclass_element @ X0 @ X1) @ X1))) |
% 0.21/0.88 (subclass @ X0 @ X1)))),
% 0.21/0.88 inference('cnf', [status(esa)], [not_subclass_members2])).
% 0.21/0.88 thf(zip_derived_cl118, plain,
% 0.21/0.88 (![X0 : $i, X1 : $i]:
% 0.21/0.88 (~ (member @ (not_subclass_element @ X0 @ X1) @ X1)
% 0.21/0.88 | (subclass @ X0 @ X1))),
% 0.21/0.88 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl2])).
% 0.21/0.88 thf(zip_derived_cl213, plain,
% 0.21/0.88 ((~ (member @ y @ x) | (subclass @ (singleton @ y) @ x))),
% 0.21/0.88 inference('s_sup-', [status(thm)], [zip_derived_cl211, zip_derived_cl118])).
% 0.21/0.88 thf(zip_derived_cl147, plain, (~ (subclass @ (singleton @ y) @ x)),
% 0.21/0.88 inference('simplify_reflect-', [status(thm)],
% 0.21/0.88 [zip_derived_cl145, zip_derived_cl93])).
% 0.21/0.88 thf(zip_derived_cl218, plain, (~ (member @ y @ x)),
% 0.21/0.88 inference('clc', [status(thm)], [zip_derived_cl213, zip_derived_cl147])).
% 0.21/0.88 thf(regularity1, axiom,
% 0.21/0.88 (( ( X ) = ( null_class ) ) | ( member @ ( regular @ X ) @ X ))).
% 0.21/0.88 thf(zip_derived_cl65, plain,
% 0.21/0.88 (![X0 : $i]:
% 0.21/0.88 (((((X0) = (null_class))) | (member @ (regular @ X0) @ X0)))),
% 0.21/0.88 inference('cnf', [status(esa)], [regularity1])).
% 0.21/0.88 thf(zip_derived_cl219, plain,
% 0.21/0.88 (![X0 : $i]: ( (((X0) = (null_class))) | (member @ (regular @ X0) @ X0))),
% 0.21/0.88 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl65])).
% 0.21/0.88 thf(zip_derived_cl220, plain,
% 0.21/0.88 (![X0 : $i]: (((X0) = (null_class)) | (member @ (regular @ X0) @ X0))),
% 0.21/0.88 inference('simplify nested equalities', [status(thm)],
% 0.21/0.88 [zip_derived_cl219])).
% 0.21/0.88 thf(zip_derived_cl176, plain,
% 0.21/0.88 (![X0 : $i, X1 : $i]:
% 0.21/0.88 (((X1) = (X0)) | ~ (member @ X1 @ (singleton @ X0)))),
% 0.21/0.88 inference('simplify', [status(thm)], [zip_derived_cl175])).
% 0.21/0.88 thf(zip_derived_cl91, plain, ( (subclass @ x @ (singleton @ y))),
% 0.21/0.88 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.21/0.88 thf(subclass_members, axiom,
% 0.21/0.88 (( ~( subclass @ X @ Y ) ) | ( ~( member @ U @ X ) ) | ( member @ U @ Y ))).
% 0.21/0.88 thf(zip_derived_cl0, plain,
% 0.21/0.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.21/0.88 (((((~) @ (subclass @ X0 @ X1))) | (((~) @ (member @ X2 @ X0))) |
% 0.21/0.88 (member @ X2 @ X1)))),
% 0.21/0.88 inference('cnf', [status(esa)], [subclass_members])).
% 0.21/0.88 thf(zip_derived_cl94, plain,
% 0.21/0.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.21/0.88 (~ (subclass @ X0 @ X1) | ~ (member @ X2 @ X0) | (member @ X2 @ X1))),
% 0.21/0.88 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl0])).
% 0.21/0.88 thf(zip_derived_cl95, plain,
% 0.21/0.88 (![X0 : $i]: (~ (member @ X0 @ x) | (member @ X0 @ (singleton @ y)))),
% 0.21/0.88 inference('s_sup-', [status(thm)], [zip_derived_cl91, zip_derived_cl94])).
% 0.21/0.88 thf(zip_derived_cl177, plain,
% 0.21/0.88 (![X0 : $i]: (((X0) = (y)) | ~ (member @ X0 @ x))),
% 0.21/0.88 inference('s_sup+', [status(thm)], [zip_derived_cl176, zip_derived_cl95])).
% 0.21/0.88 thf(zip_derived_cl225, plain,
% 0.21/0.88 ((((x) = (null_class)) | ((regular @ x) = (y)))),
% 0.21/0.88 inference('s_sup-', [status(thm)], [zip_derived_cl220, zip_derived_cl177])).
% 0.21/0.88 thf(prove_two_subsets_of_singleton_2, conjecture, (( x ) = ( null_class ))).
% 0.21/0.88 thf(zf_stmt_2, negated_conjecture, (( x ) != ( null_class )),
% 0.21/0.88 inference('cnf.neg', [status(esa)], [prove_two_subsets_of_singleton_2])).
% 0.21/0.88 thf(zip_derived_cl92, plain, (((x) != (null_class))),
% 0.21/0.88 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.21/0.88 thf(zip_derived_cl227, plain, (((regular @ x) = (y))),
% 0.21/0.88 inference('simplify_reflect-', [status(thm)],
% 0.21/0.88 [zip_derived_cl225, zip_derived_cl92])).
% 0.21/0.88 thf(zip_derived_cl220, plain,
% 0.21/0.88 (![X0 : $i]: (((X0) = (null_class)) | (member @ (regular @ X0) @ X0))),
% 0.21/0.88 inference('simplify nested equalities', [status(thm)],
% 0.21/0.88 [zip_derived_cl219])).
% 0.21/0.88 thf(zip_derived_cl229, plain, ((((x) = (null_class)) | (member @ y @ x))),
% 0.21/0.88 inference('s_sup+', [status(thm)], [zip_derived_cl227, zip_derived_cl220])).
% 0.21/0.88 thf(zip_derived_cl92, plain, (((x) != (null_class))),
% 0.21/0.88 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.21/0.88 thf(zip_derived_cl230, plain, ( (member @ y @ x)),
% 0.21/0.88 inference('simplify_reflect-', [status(thm)],
% 0.21/0.88 [zip_derived_cl229, zip_derived_cl92])).
% 0.21/0.88 thf(zip_derived_cl231, plain, ($false),
% 0.21/0.88 inference('demod', [status(thm)], [zip_derived_cl218, zip_derived_cl230])).
% 0.21/0.88
% 0.21/0.88 % SZS output end Refutation
% 0.21/0.88
% 0.21/0.88
% 0.21/0.88 % Terminating...
% 2.40/0.97 % Runner terminated.
% 2.40/0.99 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------