TSTP Solution File: SET047-5 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET047-5 : TPTP v8.1.2. Released v1.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.RicwZgUUYW true
% Computer : n025.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 16:12:10 EDT 2023
% Result : Unsatisfiable 0.13s 0.77s
% Output : Refutation 0.13s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SET047-5 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.10 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.RicwZgUUYW true
% 0.08/0.31 % Computer : n025.cluster.edu
% 0.08/0.31 % Model : x86_64 x86_64
% 0.08/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.31 % Memory : 8042.1875MB
% 0.08/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.31 % CPULimit : 300
% 0.08/0.31 % WCLimit : 300
% 0.08/0.31 % DateTime : Sat Aug 26 10:09:07 EDT 2023
% 0.08/0.31 % CPUTime :
% 0.08/0.31 % Running portfolio for 300 s
% 0.08/0.31 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.31 % Number of cores: 8
% 0.08/0.31 % Python version: Python 3.6.8
% 0.08/0.31 % Running in FO mode
% 0.13/0.55 % Total configuration time : 435
% 0.13/0.55 % Estimated wc time : 1092
% 0.13/0.55 % Estimated cpu time (7 cpus) : 156.0
% 0.13/0.66 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.13/0.66 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.13/0.74 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.13/0.77 % Solved by fo/fo6_bce.sh.
% 0.13/0.77 % BCE start: 6
% 0.13/0.77 % BCE eliminated: 0
% 0.13/0.77 % PE start: 6
% 0.13/0.77 logic: neq
% 0.13/0.77 % PE eliminated: 0
% 0.13/0.77 % done 23 iterations in 0.015s
% 0.13/0.77 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.13/0.77 % SZS output start Refutation
% 0.13/0.77 thf(f_type, type, f: $i > $i > $i).
% 0.13/0.77 thf(element_type, type, element: $i > $i > $o).
% 0.13/0.77 thf(a_type, type, a: $i).
% 0.13/0.77 thf(set_equal_type, type, set_equal: $i > $i > $o).
% 0.13/0.77 thf(b_type, type, b: $i).
% 0.13/0.77 thf(prove_symmetry1, conjecture,
% 0.13/0.77 (~( ( set_equal @ b @ a ) | ( set_equal @ a @ b ) ))).
% 0.13/0.77 thf(zf_stmt_0, negated_conjecture,
% 0.13/0.77 (( set_equal @ b @ a ) | ( set_equal @ a @ b )),
% 0.13/0.77 inference('cnf.neg', [status(esa)], [prove_symmetry1])).
% 0.13/0.77 thf(zip_derived_cl4, plain, (( (set_equal @ b @ a) | (set_equal @ a @ b))),
% 0.13/0.77 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.13/0.77 thf(element_substitution2, axiom,
% 0.13/0.77 (( ~( set_equal @ X @ Y ) ) | ( ~( element @ Z @ Y ) ) |
% 0.13/0.77 ( element @ Z @ X ))).
% 0.13/0.77 thf(zip_derived_cl1, plain,
% 0.13/0.77 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.13/0.77 (~ (set_equal @ X0 @ X1)
% 0.13/0.77 | ~ (element @ X2 @ X1)
% 0.13/0.77 | (element @ X2 @ X0))),
% 0.13/0.77 inference('cnf', [status(esa)], [element_substitution2])).
% 0.13/0.77 thf(zip_derived_cl7, plain,
% 0.13/0.77 (![X0 : $i]:
% 0.13/0.77 ( (set_equal @ a @ b) | ~ (element @ X0 @ a) | (element @ X0 @ b))),
% 0.13/0.77 inference('s_sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl1])).
% 0.13/0.77 thf(element_substitution1, axiom,
% 0.13/0.77 (( ~( set_equal @ X @ Y ) ) | ( ~( element @ Z @ X ) ) |
% 0.13/0.77 ( element @ Z @ Y ))).
% 0.13/0.77 thf(zip_derived_cl0, plain,
% 0.13/0.77 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.13/0.77 (~ (set_equal @ X0 @ X1)
% 0.13/0.77 | ~ (element @ X2 @ X0)
% 0.13/0.77 | (element @ X2 @ X1))),
% 0.13/0.77 inference('cnf', [status(esa)], [element_substitution1])).
% 0.13/0.77 thf(zip_derived_cl9, plain,
% 0.13/0.77 (![X0 : $i]: ( (element @ X0 @ b) | ~ (element @ X0 @ a))),
% 0.13/0.77 inference('clc', [status(thm)], [zip_derived_cl7, zip_derived_cl0])).
% 0.13/0.77 thf(clause_4, axiom,
% 0.13/0.77 (( ~( element @ ( f @ X @ Y ) @ Y ) ) |
% 0.13/0.77 ( ~( element @ ( f @ X @ Y ) @ X ) ) | ( set_equal @ X @ Y ))).
% 0.13/0.77 thf(zip_derived_cl3, plain,
% 0.13/0.77 (![X0 : $i, X1 : $i]:
% 0.13/0.77 (~ (element @ (f @ X0 @ X1) @ X1)
% 0.13/0.77 | ~ (element @ (f @ X0 @ X1) @ X0)
% 0.13/0.77 | (set_equal @ X0 @ X1))),
% 0.13/0.77 inference('cnf', [status(esa)], [clause_4])).
% 0.13/0.77 thf(zip_derived_cl11, plain,
% 0.13/0.77 (![X0 : $i]:
% 0.13/0.77 (~ (element @ (f @ X0 @ b) @ a)
% 0.13/0.77 | ~ (element @ (f @ X0 @ b) @ X0)
% 0.13/0.77 | (set_equal @ X0 @ b))),
% 0.13/0.77 inference('s_sup-', [status(thm)], [zip_derived_cl9, zip_derived_cl3])).
% 0.13/0.77 thf(zip_derived_cl30, plain,
% 0.13/0.77 (( (set_equal @ a @ b) | ~ (element @ (f @ a @ b) @ a))),
% 0.13/0.77 inference('eq_fact', [status(thm)], [zip_derived_cl11])).
% 0.13/0.77 thf(prove_symmetry2, conjecture,
% 0.13/0.77 (~( ( ~( set_equal @ a @ b ) ) | ( ~( set_equal @ b @ a ) ) ))).
% 0.13/0.77 thf(zf_stmt_1, negated_conjecture,
% 0.13/0.77 (( ~( set_equal @ a @ b ) ) | ( ~( set_equal @ b @ a ) )),
% 0.13/0.77 inference('cnf.neg', [status(esa)], [prove_symmetry2])).
% 0.13/0.77 thf(zip_derived_cl5, plain,
% 0.13/0.77 ((~ (set_equal @ a @ b) | ~ (set_equal @ b @ a))),
% 0.13/0.77 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.13/0.77 thf(zip_derived_cl9, plain,
% 0.13/0.77 (![X0 : $i]: ( (element @ X0 @ b) | ~ (element @ X0 @ a))),
% 0.13/0.77 inference('clc', [status(thm)], [zip_derived_cl7, zip_derived_cl0])).
% 0.13/0.77 thf(clause_3, axiom,
% 0.13/0.77 (( element @ ( f @ X @ Y ) @ X ) | ( element @ ( f @ X @ Y ) @ Y ) |
% 0.13/0.77 ( set_equal @ X @ Y ))).
% 0.13/0.77 thf(zip_derived_cl2, plain,
% 0.13/0.77 (![X0 : $i, X1 : $i]:
% 0.13/0.77 ( (element @ (f @ X0 @ X1) @ X0)
% 0.13/0.77 | (element @ (f @ X0 @ X1) @ X1)
% 0.13/0.77 | (set_equal @ X0 @ X1))),
% 0.13/0.77 inference('cnf', [status(esa)], [clause_3])).
% 0.13/0.77 thf(zip_derived_cl4, plain, (( (set_equal @ b @ a) | (set_equal @ a @ b))),
% 0.13/0.77 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.13/0.77 thf(zip_derived_cl0, plain,
% 0.13/0.77 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.13/0.77 (~ (set_equal @ X0 @ X1)
% 0.13/0.77 | ~ (element @ X2 @ X0)
% 0.13/0.77 | (element @ X2 @ X1))),
% 0.13/0.77 inference('cnf', [status(esa)], [element_substitution1])).
% 0.13/0.77 thf(zip_derived_cl6, plain,
% 0.13/0.77 (![X0 : $i]:
% 0.13/0.77 ( (set_equal @ a @ b) | ~ (element @ X0 @ b) | (element @ X0 @ a))),
% 0.13/0.77 inference('s_sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl0])).
% 0.13/0.77 thf(zip_derived_cl1, plain,
% 0.13/0.77 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.13/0.77 (~ (set_equal @ X0 @ X1)
% 0.13/0.77 | ~ (element @ X2 @ X1)
% 0.13/0.77 | (element @ X2 @ X0))),
% 0.13/0.77 inference('cnf', [status(esa)], [element_substitution2])).
% 0.13/0.77 thf(zip_derived_cl8, plain,
% 0.13/0.77 (![X0 : $i]: ( (element @ X0 @ a) | ~ (element @ X0 @ b))),
% 0.13/0.77 inference('clc', [status(thm)], [zip_derived_cl6, zip_derived_cl1])).
% 0.13/0.77 thf(zip_derived_cl14, plain,
% 0.13/0.77 (![X0 : $i]:
% 0.13/0.77 ( (set_equal @ b @ X0)
% 0.13/0.77 | (element @ (f @ b @ X0) @ X0)
% 0.13/0.77 | (element @ (f @ b @ X0) @ a))),
% 0.13/0.77 inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl8])).
% 0.13/0.77 thf(zip_derived_cl34, plain,
% 0.13/0.77 (( (element @ (f @ b @ a) @ a) | (set_equal @ b @ a))),
% 0.13/0.77 inference('eq_fact', [status(thm)], [zip_derived_cl14])).
% 0.13/0.77 thf(zip_derived_cl3, plain,
% 0.13/0.77 (![X0 : $i, X1 : $i]:
% 0.13/0.77 (~ (element @ (f @ X0 @ X1) @ X1)
% 0.13/0.77 | ~ (element @ (f @ X0 @ X1) @ X0)
% 0.13/0.77 | (set_equal @ X0 @ X1))),
% 0.13/0.77 inference('cnf', [status(esa)], [clause_4])).
% 0.13/0.77 thf(zip_derived_cl40, plain,
% 0.13/0.77 (( (set_equal @ b @ a)
% 0.13/0.77 | ~ (element @ (f @ b @ a) @ b)
% 0.13/0.77 | (set_equal @ b @ a))),
% 0.13/0.77 inference('s_sup-', [status(thm)], [zip_derived_cl34, zip_derived_cl3])).
% 0.13/0.77 thf(zip_derived_cl41, plain,
% 0.13/0.77 ((~ (element @ (f @ b @ a) @ b) | (set_equal @ b @ a))),
% 0.13/0.77 inference('simplify', [status(thm)], [zip_derived_cl40])).
% 0.13/0.77 thf(zip_derived_cl42, plain,
% 0.13/0.77 ((~ (element @ (f @ b @ a) @ a) | (set_equal @ b @ a))),
% 0.13/0.77 inference('s_sup-', [status(thm)], [zip_derived_cl9, zip_derived_cl41])).
% 0.13/0.77 thf(zip_derived_cl34, plain,
% 0.13/0.77 (( (element @ (f @ b @ a) @ a) | (set_equal @ b @ a))),
% 0.13/0.77 inference('eq_fact', [status(thm)], [zip_derived_cl14])).
% 0.13/0.77 thf(zip_derived_cl45, plain, ( (set_equal @ b @ a)),
% 0.13/0.77 inference('clc', [status(thm)], [zip_derived_cl42, zip_derived_cl34])).
% 0.13/0.77 thf(zip_derived_cl46, plain, (~ (set_equal @ a @ b)),
% 0.13/0.77 inference('demod', [status(thm)], [zip_derived_cl5, zip_derived_cl45])).
% 0.13/0.77 thf(zip_derived_cl65, plain, (~ (element @ (f @ a @ b) @ a)),
% 0.13/0.77 inference('demod', [status(thm)], [zip_derived_cl30, zip_derived_cl46])).
% 0.13/0.77 thf(zip_derived_cl2, plain,
% 0.13/0.77 (![X0 : $i, X1 : $i]:
% 0.13/0.77 ( (element @ (f @ X0 @ X1) @ X0)
% 0.13/0.77 | (element @ (f @ X0 @ X1) @ X1)
% 0.13/0.77 | (set_equal @ X0 @ X1))),
% 0.13/0.77 inference('cnf', [status(esa)], [clause_3])).
% 0.13/0.77 thf(zip_derived_cl8, plain,
% 0.13/0.77 (![X0 : $i]: ( (element @ X0 @ a) | ~ (element @ X0 @ b))),
% 0.13/0.77 inference('clc', [status(thm)], [zip_derived_cl6, zip_derived_cl1])).
% 0.13/0.77 thf(zip_derived_cl17, plain,
% 0.13/0.77 (![X0 : $i]:
% 0.13/0.77 ( (set_equal @ X0 @ b)
% 0.13/0.77 | (element @ (f @ X0 @ b) @ X0)
% 0.13/0.77 | (element @ (f @ X0 @ b) @ a))),
% 0.13/0.77 inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl8])).
% 0.13/0.77 thf(zip_derived_cl65, plain, (~ (element @ (f @ a @ b) @ a)),
% 0.13/0.77 inference('demod', [status(thm)], [zip_derived_cl30, zip_derived_cl46])).
% 0.13/0.77 thf(zip_derived_cl69, plain,
% 0.13/0.77 (( (element @ (f @ a @ b) @ a) | (set_equal @ a @ b))),
% 0.13/0.77 inference('s_sup-', [status(thm)], [zip_derived_cl17, zip_derived_cl65])).
% 0.13/0.77 thf(zip_derived_cl46, plain, (~ (set_equal @ a @ b)),
% 0.13/0.77 inference('demod', [status(thm)], [zip_derived_cl5, zip_derived_cl45])).
% 0.13/0.77 thf(zip_derived_cl71, plain, ( (element @ (f @ a @ b) @ a)),
% 0.13/0.77 inference('demod', [status(thm)], [zip_derived_cl69, zip_derived_cl46])).
% 0.13/0.77 thf(zip_derived_cl73, plain, ($false),
% 0.13/0.77 inference('demod', [status(thm)], [zip_derived_cl65, zip_derived_cl71])).
% 0.13/0.77
% 0.13/0.77 % SZS output end Refutation
% 0.13/0.77
% 0.13/0.77
% 0.13/0.77 % Terminating...
% 1.08/0.92 % Runner terminated.
% 1.08/0.93 % Zipperpin 1.5 exiting
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