TSTP Solution File: SET189-6 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET189-6 : 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.Sgen485yX0 true
% Computer : n027.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 16:13:20 EDT 2023
% Result : Unsatisfiable 0.22s 0.94s
% 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 : SET189-6 : 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.Sgen485yX0 true
% 0.16/0.35 % Computer : n027.cluster.edu
% 0.16/0.35 % Model : x86_64 x86_64
% 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.35 % Memory : 8042.1875MB
% 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.35 % CPULimit : 300
% 0.16/0.35 % WCLimit : 300
% 0.16/0.35 % DateTime : Sat Aug 26 16:59:50 EDT 2023
% 0.16/0.35 % CPUTime :
% 0.16/0.35 % Running portfolio for 300 s
% 0.16/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.36 % Number of cores: 8
% 0.16/0.36 % Python version: Python 3.6.8
% 0.16/0.36 % Running in FO mode
% 0.22/0.64 % Total configuration time : 435
% 0.22/0.64 % Estimated wc time : 1092
% 0.22/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.71 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.72 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.76 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.76 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 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/fo5.sh running for 50s
% 0.22/0.77 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.22/0.82 % /export/starexec/sandbox/solver/bin/fo/fo1_lcnf.sh running for 50s
% 0.22/0.94 % Solved by fo/fo6_bce.sh.
% 0.22/0.94 % BCE start: 115
% 0.22/0.94 % BCE eliminated: 1
% 0.22/0.94 % PE start: 114
% 0.22/0.94 logic: eq
% 0.22/0.94 % PE eliminated: 19
% 0.22/0.94 % done 229 iterations in 0.203s
% 0.22/0.94 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.22/0.94 % SZS output start Refutation
% 0.22/0.94 thf(universal_class_type, type, universal_class: $i).
% 0.22/0.94 thf(null_class_type, type, null_class: $i).
% 0.22/0.94 thf(member_type, type, member: $i > $i > $o).
% 0.22/0.94 thf(y_type, type, y: $i).
% 0.22/0.94 thf(complement_type, type, complement: $i > $i).
% 0.22/0.94 thf(intersection_type, type, intersection: $i > $i > $i).
% 0.22/0.94 thf(subclass_type, type, subclass: $i > $i > $o).
% 0.22/0.94 thf(x_type, type, x: $i).
% 0.22/0.94 thf(not_subclass_element_type, type, not_subclass_element: $i > $i > $i).
% 0.22/0.94 thf(regular_type, type, regular: $i > $i).
% 0.22/0.94 thf(prove_corollary_to_subclass_property6_2, conjecture,
% 0.22/0.94 (~( subclass @ y @ x ))).
% 0.22/0.94 thf(zf_stmt_0, negated_conjecture, (subclass @ y @ x),
% 0.22/0.94 inference('cnf.neg', [status(esa)],
% 0.22/0.94 [prove_corollary_to_subclass_property6_2])).
% 0.22/0.94 thf(zip_derived_cl113, plain, ( (subclass @ y @ x)),
% 0.22/0.94 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.22/0.94 thf(subclass_implies_equal, axiom,
% 0.22/0.94 (( ~( subclass @ X @ Y ) ) | ( ~( subclass @ Y @ X ) ) | ( ( X ) = ( Y ) ))).
% 0.22/0.94 thf(zip_derived_cl6, plain,
% 0.22/0.94 (![X0 : $i, X1 : $i]:
% 0.22/0.94 (~ (subclass @ X0 @ X1) | ~ (subclass @ X1 @ X0) | ((X0) = (X1)))),
% 0.22/0.94 inference('cnf', [status(esa)], [subclass_implies_equal])).
% 0.22/0.94 thf(zip_derived_cl505, plain, ((~ (subclass @ x @ y) | ((y) = (x)))),
% 0.22/0.94 inference('s_sup-', [status(thm)], [zip_derived_cl113, zip_derived_cl6])).
% 0.22/0.94 thf(prove_corollary_to_subclass_property6_3, conjecture, (( x ) = ( y ))).
% 0.22/0.94 thf(zf_stmt_1, negated_conjecture, (( x ) != ( y )),
% 0.22/0.94 inference('cnf.neg', [status(esa)],
% 0.22/0.94 [prove_corollary_to_subclass_property6_3])).
% 0.22/0.94 thf(zip_derived_cl114, plain, (((x) != (y))),
% 0.22/0.94 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.22/0.94 thf(zip_derived_cl507, plain, (~ (subclass @ x @ y)),
% 0.22/0.94 inference('simplify_reflect-', [status(thm)],
% 0.22/0.94 [zip_derived_cl505, zip_derived_cl114])).
% 0.22/0.94 thf(complement2, axiom,
% 0.22/0.94 (( ~( member @ Z @ universal_class ) ) |
% 0.22/0.94 ( member @ Z @ ( complement @ X ) ) | ( member @ Z @ X ))).
% 0.22/0.94 thf(zip_derived_cl24, plain,
% 0.22/0.94 (![X0 : $i, X1 : $i]:
% 0.22/0.94 (~ (member @ X0 @ universal_class)
% 0.22/0.94 | (member @ X0 @ (complement @ X1))
% 0.22/0.94 | (member @ X0 @ X1))),
% 0.22/0.94 inference('cnf', [status(esa)], [complement2])).
% 0.22/0.94 thf(not_subclass_members1, axiom,
% 0.22/0.94 (( member @ ( not_subclass_element @ X @ Y ) @ X ) | ( subclass @ X @ Y ))).
% 0.22/0.94 thf(zip_derived_cl1, plain,
% 0.22/0.94 (![X0 : $i, X1 : $i]:
% 0.22/0.94 ( (member @ (not_subclass_element @ X0 @ X1) @ X0)
% 0.22/0.94 | (subclass @ X0 @ X1))),
% 0.22/0.94 inference('cnf', [status(esa)], [not_subclass_members1])).
% 0.22/0.94 thf(prove_corollary_to_subclass_property6_1, conjecture,
% 0.22/0.94 (( intersection @ ( complement @ y ) @ x ) != ( null_class ))).
% 0.22/0.94 thf(zf_stmt_2, negated_conjecture,
% 0.22/0.94 (( intersection @ ( complement @ y ) @ x ) = ( null_class )),
% 0.22/0.94 inference('cnf.neg', [status(esa)],
% 0.22/0.94 [prove_corollary_to_subclass_property6_1])).
% 0.22/0.94 thf(zip_derived_cl112, plain,
% 0.22/0.94 (((intersection @ (complement @ y) @ x) = (null_class))),
% 0.22/0.94 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.22/0.94 thf(intersection3, axiom,
% 0.22/0.94 (( ~( member @ Z @ X ) ) | ( ~( member @ Z @ Y ) ) |
% 0.22/0.94 ( member @ Z @ ( intersection @ X @ Y ) ))).
% 0.22/0.94 thf(zip_derived_cl22, plain,
% 0.22/0.94 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.22/0.94 (~ (member @ X0 @ X1)
% 0.22/0.94 | ~ (member @ X0 @ X2)
% 0.22/0.94 | (member @ X0 @ (intersection @ X1 @ X2)))),
% 0.22/0.94 inference('cnf', [status(esa)], [intersection3])).
% 0.22/0.94 thf(zip_derived_cl600, plain,
% 0.22/0.94 (![X0 : $i]:
% 0.22/0.94 (~ (member @ X0 @ (complement @ y))
% 0.22/0.94 | ~ (member @ X0 @ x)
% 0.22/0.94 | (member @ X0 @ null_class))),
% 0.22/0.94 inference('s_sup+', [status(thm)], [zip_derived_cl112, zip_derived_cl22])).
% 0.22/0.94 thf(regularity1, axiom,
% 0.22/0.94 (( ( X ) = ( null_class ) ) | ( member @ ( regular @ X ) @ X ))).
% 0.22/0.94 thf(zip_derived_cl65, plain,
% 0.22/0.94 (![X0 : $i]: (((X0) = (null_class)) | (member @ (regular @ X0) @ X0))),
% 0.22/0.94 inference('cnf', [status(esa)], [regularity1])).
% 0.22/0.94 thf(class_elements_are_sets, axiom, (subclass @ X @ universal_class)).
% 0.22/0.94 thf(zip_derived_cl3, plain, (![X0 : $i]: (subclass @ X0 @ universal_class)),
% 0.22/0.94 inference('cnf', [status(esa)], [class_elements_are_sets])).
% 0.22/0.94 thf(subclass_members, axiom,
% 0.22/0.94 (( ~( subclass @ X @ Y ) ) | ( ~( member @ U @ X ) ) | ( member @ U @ Y ))).
% 0.22/0.94 thf(zip_derived_cl0, plain,
% 0.22/0.94 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.22/0.94 (~ (subclass @ X0 @ X1) | ~ (member @ X2 @ X0) | (member @ X2 @ X1))),
% 0.22/0.94 inference('cnf', [status(esa)], [subclass_members])).
% 0.22/0.94 thf(zip_derived_cl499, plain,
% 0.22/0.94 (![X0 : $i, X1 : $i]:
% 0.22/0.94 (~ (member @ X1 @ X0) | (member @ X1 @ universal_class))),
% 0.22/0.94 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 0.22/0.94 thf(zip_derived_cl669, plain,
% 0.22/0.94 (![X0 : $i]:
% 0.22/0.94 (((X0) = (null_class)) | (member @ (regular @ X0) @ universal_class))),
% 0.22/0.94 inference('s_sup-', [status(thm)], [zip_derived_cl65, zip_derived_cl499])).
% 0.22/0.94 thf(zip_derived_cl65, plain,
% 0.22/0.94 (![X0 : $i]: (((X0) = (null_class)) | (member @ (regular @ X0) @ X0))),
% 0.22/0.94 inference('cnf', [status(esa)], [regularity1])).
% 0.22/0.94 thf(complement1, axiom,
% 0.22/0.94 (( ~( member @ Z @ ( complement @ X ) ) ) | ( ~( member @ Z @ X ) ))).
% 0.22/0.94 thf(zip_derived_cl23, plain,
% 0.22/0.94 (![X0 : $i, X1 : $i]:
% 0.22/0.94 (~ (member @ X0 @ (complement @ X1)) | ~ (member @ X0 @ X1))),
% 0.22/0.94 inference('cnf', [status(esa)], [complement1])).
% 0.22/0.94 thf(zip_derived_cl675, plain,
% 0.22/0.94 (![X0 : $i]:
% 0.22/0.94 (((complement @ X0) = (null_class))
% 0.22/0.94 | ~ (member @ (regular @ (complement @ X0)) @ X0))),
% 0.22/0.94 inference('s_sup-', [status(thm)], [zip_derived_cl65, zip_derived_cl23])).
% 0.22/0.94 thf(zip_derived_cl721, plain,
% 0.22/0.94 ((((complement @ universal_class) = (null_class))
% 0.22/0.94 | ((complement @ universal_class) = (null_class)))),
% 0.22/0.94 inference('s_sup-', [status(thm)], [zip_derived_cl669, zip_derived_cl675])).
% 0.22/0.94 thf(zip_derived_cl724, plain,
% 0.22/0.94 (((complement @ universal_class) = (null_class))),
% 0.22/0.94 inference('simplify', [status(thm)], [zip_derived_cl721])).
% 0.22/0.94 thf(zip_derived_cl23, plain,
% 0.22/0.94 (![X0 : $i, X1 : $i]:
% 0.22/0.94 (~ (member @ X0 @ (complement @ X1)) | ~ (member @ X0 @ X1))),
% 0.22/0.94 inference('cnf', [status(esa)], [complement1])).
% 0.22/0.94 thf(zip_derived_cl725, plain,
% 0.22/0.94 (![X0 : $i]:
% 0.22/0.94 (~ (member @ X0 @ null_class) | ~ (member @ X0 @ universal_class))),
% 0.22/0.94 inference('s_sup-', [status(thm)], [zip_derived_cl724, zip_derived_cl23])).
% 0.22/0.94 thf(zip_derived_cl499, plain,
% 0.22/0.94 (![X0 : $i, X1 : $i]:
% 0.22/0.94 (~ (member @ X1 @ X0) | (member @ X1 @ universal_class))),
% 0.22/0.94 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 0.22/0.94 thf(zip_derived_cl741, plain, (![X0 : $i]: ~ (member @ X0 @ null_class)),
% 0.22/0.94 inference('clc', [status(thm)], [zip_derived_cl725, zip_derived_cl499])).
% 0.22/0.94 thf(zip_derived_cl742, plain,
% 0.22/0.94 (![X0 : $i]: (~ (member @ X0 @ (complement @ y)) | ~ (member @ X0 @ x))),
% 0.22/0.94 inference('demod', [status(thm)], [zip_derived_cl600, zip_derived_cl741])).
% 0.22/0.94 thf(zip_derived_cl758, plain,
% 0.22/0.94 (![X0 : $i]:
% 0.22/0.94 ( (subclass @ x @ X0)
% 0.22/0.94 | ~ (member @ (not_subclass_element @ x @ X0) @ (complement @ y)))),
% 0.22/0.94 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl742])).
% 0.22/0.94 thf(zip_derived_cl766, plain,
% 0.22/0.94 (![X0 : $i]:
% 0.22/0.94 ( (member @ (not_subclass_element @ x @ X0) @ y)
% 0.22/0.94 | ~ (member @ (not_subclass_element @ x @ X0) @ universal_class)
% 0.22/0.94 | (subclass @ x @ X0))),
% 0.22/0.94 inference('s_sup-', [status(thm)], [zip_derived_cl24, zip_derived_cl758])).
% 0.22/0.94 thf(zip_derived_cl1, plain,
% 0.22/0.94 (![X0 : $i, X1 : $i]:
% 0.22/0.94 ( (member @ (not_subclass_element @ X0 @ X1) @ X0)
% 0.22/0.94 | (subclass @ X0 @ X1))),
% 0.22/0.94 inference('cnf', [status(esa)], [not_subclass_members1])).
% 0.22/0.94 thf(zip_derived_cl499, plain,
% 0.22/0.94 (![X0 : $i, X1 : $i]:
% 0.22/0.94 (~ (member @ X1 @ X0) | (member @ X1 @ universal_class))),
% 0.22/0.94 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 0.22/0.94 thf(zip_derived_cl554, plain,
% 0.22/0.94 (![X0 : $i, X1 : $i]:
% 0.22/0.94 ( (subclass @ X0 @ X1)
% 0.22/0.94 | (member @ (not_subclass_element @ X0 @ X1) @ universal_class))),
% 0.22/0.94 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl499])).
% 0.22/0.94 thf(zip_derived_cl1078, plain,
% 0.22/0.94 (![X0 : $i]:
% 0.22/0.94 ( (subclass @ x @ X0)
% 0.22/0.94 | (member @ (not_subclass_element @ x @ X0) @ y))),
% 0.22/0.94 inference('clc', [status(thm)], [zip_derived_cl766, zip_derived_cl554])).
% 0.22/0.94 thf(not_subclass_members2, axiom,
% 0.22/0.94 (( ~( member @ ( not_subclass_element @ X @ Y ) @ Y ) ) |
% 0.22/0.94 ( subclass @ X @ Y ))).
% 0.22/0.94 thf(zip_derived_cl2, plain,
% 0.22/0.94 (![X0 : $i, X1 : $i]:
% 0.22/0.94 (~ (member @ (not_subclass_element @ X0 @ X1) @ X1)
% 0.22/0.94 | (subclass @ X0 @ X1))),
% 0.22/0.94 inference('cnf', [status(esa)], [not_subclass_members2])).
% 0.22/0.94 thf(zip_derived_cl1080, plain, (( (subclass @ x @ y) | (subclass @ x @ y))),
% 0.22/0.94 inference('s_sup-', [status(thm)], [zip_derived_cl1078, zip_derived_cl2])).
% 0.22/0.94 thf(zip_derived_cl1082, plain, ( (subclass @ x @ y)),
% 0.22/0.94 inference('simplify', [status(thm)], [zip_derived_cl1080])).
% 0.22/0.94 thf(zip_derived_cl1084, plain, ($false),
% 0.22/0.94 inference('demod', [status(thm)], [zip_derived_cl507, zip_derived_cl1082])).
% 0.22/0.94
% 0.22/0.94 % SZS output end Refutation
% 0.22/0.94
% 0.22/0.94
% 0.22/0.94 % Terminating...
% 2.73/1.05 % Runner terminated.
% 2.73/1.06 % Zipperpin 1.5 exiting
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