TSTP Solution File: SET037-3 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET037-3 : 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.lvqiXoC4Bs true
% Computer : n010.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 16:12:03 EDT 2023
% Result : Unsatisfiable 217.63s 31.76s
% Output : Refutation 217.63s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET037-3 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.lvqiXoC4Bs true
% 0.14/0.35 % Computer : n010.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
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sat Aug 26 08:32:20 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.35 % Running in FO mode
% 0.22/0.61 % Total configuration time : 435
% 0.22/0.61 % Estimated wc time : 1092
% 0.22/0.61 % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.69 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.73 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.73 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.73 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.73 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.73 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.88/0.73 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.88/0.77 % /export/starexec/sandbox/solver/bin/fo/fo1_lcnf.sh running for 50s
% 217.63/31.76 % Solved by fo/fo13.sh.
% 217.63/31.76 % done 8662 iterations in 31.008s
% 217.63/31.76 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 217.63/31.76 % SZS output start Refutation
% 217.63/31.76 thf(a_type, type, a: $i).
% 217.63/31.76 thf(f8_type, type, f8: $i > $i > $i).
% 217.63/31.76 thf(ordered_pair_type, type, ordered_pair: $i > $i > $i).
% 217.63/31.76 thf(apply_type, type, apply: $i > $i > $i).
% 217.63/31.76 thf(domain_of_type, type, domain_of: $i > $i).
% 217.63/31.76 thf(a_function_type, type, a_function: $i).
% 217.63/31.76 thf(f3_type, type, f3: $i > $i).
% 217.63/31.76 thf(ordered_pair_predicate_type, type, ordered_pair_predicate: $i > $o).
% 217.63/31.76 thf(first_type, type, first: $i > $i).
% 217.63/31.76 thf(member_type, type, member: $i > $i > $o).
% 217.63/31.76 thf(little_set_type, type, little_set: $i > $o).
% 217.63/31.76 thf(f2_type, type, f2: $i > $i).
% 217.63/31.76 thf(b_type, type, b: $i).
% 217.63/31.76 thf(function_type, type, function: $i > $o).
% 217.63/31.76 thf(member_of_function_domain, axiom,
% 217.63/31.76 (member @ a @ ( domain_of @ a_function ))).
% 217.63/31.76 thf(zip_derived_cl163, plain, ( (member @ a @ (domain_of @ a_function))),
% 217.63/31.76 inference('cnf', [status(esa)], [member_of_function_domain])).
% 217.63/31.76 thf(domain2, axiom,
% 217.63/31.76 (( ~( member @ Z @ ( domain_of @ X ) ) ) | ( member @ ( f8 @ Z @ X ) @ X ))).
% 217.63/31.76 thf(zip_derived_cl34, plain,
% 217.63/31.76 (![X0 : $i, X1 : $i]:
% 217.63/31.76 (~ (member @ X0 @ (domain_of @ X1)) | (member @ (f8 @ X0 @ X1) @ X1))),
% 217.63/31.76 inference('cnf', [status(esa)], [domain2])).
% 217.63/31.76 thf(zip_derived_cl754, plain,
% 217.63/31.76 ( (member @ (f8 @ a @ a_function) @ a_function)),
% 217.63/31.76 inference('s_sup-', [status(thm)], [zip_derived_cl163, zip_derived_cl34])).
% 217.63/31.76 thf(ordered_pair_predicate3, axiom,
% 217.63/31.76 (( ~( ordered_pair_predicate @ X ) ) |
% 217.63/31.76 ( ( X ) = ( ordered_pair @ ( f2 @ X ) @ ( f3 @ X ) ) ))).
% 217.63/31.76 thf(zip_derived_cl12, plain,
% 217.63/31.76 (![X0 : $i]:
% 217.63/31.76 (~ (ordered_pair_predicate @ X0)
% 217.63/31.76 | ((X0) = (ordered_pair @ (f2 @ X0) @ (f3 @ X0))))),
% 217.63/31.76 inference('cnf', [status(esa)], [ordered_pair_predicate3])).
% 217.63/31.76 thf(property_of_first, axiom,
% 217.63/31.76 (( ~( little_set @ X ) ) | ( ~( little_set @ Y ) ) |
% 217.63/31.76 ( ( first @ ( ordered_pair @ X @ Y ) ) = ( X ) ))).
% 217.63/31.76 thf(zip_derived_cl145, plain,
% 217.63/31.76 (![X0 : $i, X1 : $i]:
% 217.63/31.76 (~ (little_set @ X0)
% 217.63/31.76 | ~ (little_set @ X1)
% 217.63/31.76 | ((first @ (ordered_pair @ X0 @ X1)) = (X0)))),
% 217.63/31.76 inference('cnf', [status(esa)], [property_of_first])).
% 217.63/31.76 thf(zip_derived_cl561, plain,
% 217.63/31.76 (![X0 : $i]:
% 217.63/31.76 (~ (ordered_pair_predicate @ X0)
% 217.63/31.76 | ~ (little_set @ (f2 @ X0))
% 217.63/31.76 | ~ (little_set @ (f3 @ X0))
% 217.63/31.76 | ((first @ X0) = (f2 @ X0)))),
% 217.63/31.76 inference('s_sup+', [status(thm)], [zip_derived_cl12, zip_derived_cl145])).
% 217.63/31.76 thf(ordered_pair_predicate1, axiom,
% 217.63/31.76 (( ~( ordered_pair_predicate @ X ) ) | ( little_set @ ( f2 @ X ) ))).
% 217.63/31.76 thf(zip_derived_cl10, plain,
% 217.63/31.76 (![X0 : $i]:
% 217.63/31.76 (~ (ordered_pair_predicate @ X0) | (little_set @ (f2 @ X0)))),
% 217.63/31.76 inference('cnf', [status(esa)], [ordered_pair_predicate1])).
% 217.63/31.76 thf(zip_derived_cl26723, plain,
% 217.63/31.76 (![X0 : $i]:
% 217.63/31.76 (((first @ X0) = (f2 @ X0))
% 217.63/31.76 | ~ (little_set @ (f3 @ X0))
% 217.63/31.76 | ~ (ordered_pair_predicate @ X0))),
% 217.63/31.76 inference('clc', [status(thm)], [zip_derived_cl561, zip_derived_cl10])).
% 217.63/31.76 thf(ordered_pair_predicate2, axiom,
% 217.63/31.76 (( ~( ordered_pair_predicate @ X ) ) | ( little_set @ ( f3 @ X ) ))).
% 217.63/31.76 thf(zip_derived_cl11, plain,
% 217.63/31.76 (![X0 : $i]:
% 217.63/31.76 (~ (ordered_pair_predicate @ X0) | (little_set @ (f3 @ X0)))),
% 217.63/31.76 inference('cnf', [status(esa)], [ordered_pair_predicate2])).
% 217.63/31.76 thf(zip_derived_cl26724, plain,
% 217.63/31.76 (![X0 : $i]:
% 217.63/31.76 (~ (ordered_pair_predicate @ X0) | ((first @ X0) = (f2 @ X0)))),
% 217.63/31.76 inference('clc', [status(thm)], [zip_derived_cl26723, zip_derived_cl11])).
% 217.63/31.76 thf(zip_derived_cl26724, plain,
% 217.63/31.76 (![X0 : $i]:
% 217.63/31.76 (~ (ordered_pair_predicate @ X0) | ((first @ X0) = (f2 @ X0)))),
% 217.63/31.76 inference('clc', [status(thm)], [zip_derived_cl26723, zip_derived_cl11])).
% 217.63/31.76 thf(zip_derived_cl754, plain,
% 217.63/31.76 ( (member @ (f8 @ a @ a_function) @ a_function)),
% 217.63/31.76 inference('s_sup-', [status(thm)], [zip_derived_cl163, zip_derived_cl34])).
% 217.63/31.76 thf(zip_derived_cl12, plain,
% 217.63/31.76 (![X0 : $i]:
% 217.63/31.76 (~ (ordered_pair_predicate @ X0)
% 217.63/31.76 | ((X0) = (ordered_pair @ (f2 @ X0) @ (f3 @ X0))))),
% 217.63/31.76 inference('cnf', [status(esa)], [ordered_pair_predicate3])).
% 217.63/31.76 thf(apply_for_functions1, axiom,
% 217.63/31.76 (( ~( little_set @ X ) ) | ( ~( little_set @ Y ) ) |
% 217.63/31.77 ( ~( function @ Xf ) ) |
% 217.63/31.77 ( ~( member @ ( ordered_pair @ X @ Y ) @ Xf ) ) |
% 217.63/31.77 ( ( apply @ Xf @ X ) = ( Y ) ))).
% 217.63/31.77 thf(zip_derived_cl161, plain,
% 217.63/31.77 (![X0 : $i, X1 : $i, X2 : $i]:
% 217.63/31.77 (~ (little_set @ X0)
% 217.63/31.77 | ~ (little_set @ X1)
% 217.63/31.77 | ~ (function @ X2)
% 217.63/31.77 | ~ (member @ (ordered_pair @ X0 @ X1) @ X2)
% 217.63/31.77 | ((apply @ X2 @ X0) = (X1)))),
% 217.63/31.77 inference('cnf', [status(esa)], [apply_for_functions1])).
% 217.63/31.77 thf(zip_derived_cl1220, plain,
% 217.63/31.77 (![X0 : $i, X1 : $i]:
% 217.63/31.77 (~ (ordered_pair_predicate @ X0)
% 217.63/31.77 | ~ (little_set @ (f2 @ X0))
% 217.63/31.77 | ~ (little_set @ (f3 @ X0))
% 217.63/31.77 | ~ (function @ X1)
% 217.63/31.77 | ~ (member @ X0 @ X1)
% 217.63/31.77 | ((apply @ X1 @ (f2 @ X0)) = (f3 @ X0)))),
% 217.63/31.77 inference('s_sup-', [status(thm)], [zip_derived_cl12, zip_derived_cl161])).
% 217.63/31.77 thf(zip_derived_cl10, plain,
% 217.63/31.77 (![X0 : $i]:
% 217.63/31.77 (~ (ordered_pair_predicate @ X0) | (little_set @ (f2 @ X0)))),
% 217.63/31.77 inference('cnf', [status(esa)], [ordered_pair_predicate1])).
% 217.63/31.77 thf(zip_derived_cl167353, plain,
% 217.63/31.77 (![X0 : $i, X1 : $i]:
% 217.63/31.77 (((apply @ X1 @ (f2 @ X0)) = (f3 @ X0))
% 217.63/31.77 | ~ (member @ X0 @ X1)
% 217.63/31.77 | ~ (function @ X1)
% 217.63/31.77 | ~ (little_set @ (f3 @ X0))
% 217.63/31.77 | ~ (ordered_pair_predicate @ X0))),
% 217.63/31.77 inference('clc', [status(thm)], [zip_derived_cl1220, zip_derived_cl10])).
% 217.63/31.77 thf(zip_derived_cl11, plain,
% 217.63/31.77 (![X0 : $i]:
% 217.63/31.77 (~ (ordered_pair_predicate @ X0) | (little_set @ (f3 @ X0)))),
% 217.63/31.77 inference('cnf', [status(esa)], [ordered_pair_predicate2])).
% 217.63/31.77 thf(zip_derived_cl167354, plain,
% 217.63/31.77 (![X0 : $i, X1 : $i]:
% 217.63/31.77 (~ (ordered_pair_predicate @ X0)
% 217.63/31.77 | ~ (function @ X1)
% 217.63/31.77 | ~ (member @ X0 @ X1)
% 217.63/31.77 | ((apply @ X1 @ (f2 @ X0)) = (f3 @ X0)))),
% 217.63/31.77 inference('clc', [status(thm)], [zip_derived_cl167353, zip_derived_cl11])).
% 217.63/31.77 thf(zip_derived_cl167662, plain,
% 217.63/31.77 ((~ (ordered_pair_predicate @ (f8 @ a @ a_function))
% 217.63/31.77 | ~ (function @ a_function)
% 217.63/31.77 | ((apply @ a_function @ (f2 @ (f8 @ a @ a_function)))
% 217.63/31.77 = (f3 @ (f8 @ a @ a_function))))),
% 217.63/31.77 inference('s_sup-', [status(thm)],
% 217.63/31.77 [zip_derived_cl754, zip_derived_cl167354])).
% 217.63/31.77 thf(zip_derived_cl163, plain, ( (member @ a @ (domain_of @ a_function))),
% 217.63/31.77 inference('cnf', [status(esa)], [member_of_function_domain])).
% 217.63/31.77 thf(domain1, axiom,
% 217.63/31.77 (( ~( member @ Z @ ( domain_of @ X ) ) ) |
% 217.63/31.77 ( ordered_pair_predicate @ ( f8 @ Z @ X ) ))).
% 217.63/31.77 thf(zip_derived_cl33, plain,
% 217.63/31.77 (![X0 : $i, X1 : $i]:
% 217.63/31.77 (~ (member @ X0 @ (domain_of @ X1))
% 217.63/31.77 | (ordered_pair_predicate @ (f8 @ X0 @ X1)))),
% 217.63/31.77 inference('cnf', [status(esa)], [domain1])).
% 217.63/31.77 thf(zip_derived_cl439, plain,
% 217.63/31.77 ( (ordered_pair_predicate @ (f8 @ a @ a_function))),
% 217.63/31.77 inference('s_sup-', [status(thm)], [zip_derived_cl163, zip_derived_cl33])).
% 217.63/31.77 thf(a_function, axiom, (function @ a_function)).
% 217.63/31.77 thf(zip_derived_cl162, plain, ( (function @ a_function)),
% 217.63/31.77 inference('cnf', [status(esa)], [a_function])).
% 217.63/31.77 thf(zip_derived_cl168023, plain,
% 217.63/31.77 (((apply @ a_function @ (f2 @ (f8 @ a @ a_function)))
% 217.63/31.77 = (f3 @ (f8 @ a @ a_function)))),
% 217.63/31.77 inference('demod', [status(thm)],
% 217.63/31.77 [zip_derived_cl167662, zip_derived_cl439, zip_derived_cl162])).
% 217.63/31.77 thf(zip_derived_cl168486, plain,
% 217.63/31.77 ((~ (ordered_pair_predicate @ (f8 @ a @ a_function))
% 217.63/31.77 | ((apply @ a_function @ (first @ (f8 @ a @ a_function)))
% 217.63/31.77 = (f3 @ (f8 @ a @ a_function))))),
% 217.63/31.77 inference('s_sup+', [status(thm)],
% 217.63/31.77 [zip_derived_cl26724, zip_derived_cl168023])).
% 217.63/31.77 thf(zip_derived_cl439, plain,
% 217.63/31.77 ( (ordered_pair_predicate @ (f8 @ a @ a_function))),
% 217.63/31.77 inference('s_sup-', [status(thm)], [zip_derived_cl163, zip_derived_cl33])).
% 217.63/31.77 thf(zip_derived_cl163, plain, ( (member @ a @ (domain_of @ a_function))),
% 217.63/31.77 inference('cnf', [status(esa)], [member_of_function_domain])).
% 217.63/31.77 thf(domain3, axiom,
% 217.63/31.77 (( ~( member @ Z @ ( domain_of @ X ) ) ) |
% 217.63/31.77 ( ( Z ) = ( first @ ( f8 @ Z @ X ) ) ))).
% 217.63/31.77 thf(zip_derived_cl35, plain,
% 217.63/31.77 (![X0 : $i, X1 : $i]:
% 217.63/31.77 (~ (member @ X0 @ (domain_of @ X1))
% 217.63/31.77 | ((X0) = (first @ (f8 @ X0 @ X1))))),
% 217.63/31.77 inference('cnf', [status(esa)], [domain3])).
% 217.63/31.77 thf(zip_derived_cl763, plain, (((a) = (first @ (f8 @ a @ a_function)))),
% 217.63/31.77 inference('s_sup-', [status(thm)], [zip_derived_cl163, zip_derived_cl35])).
% 217.63/31.77 thf(applying_the_function, axiom, (( apply @ a_function @ a ) = ( b ))).
% 217.63/31.77 thf(zip_derived_cl164, plain, (((apply @ a_function @ a) = (b))),
% 217.63/31.77 inference('cnf', [status(esa)], [applying_the_function])).
% 217.63/31.77 thf(zip_derived_cl168487, plain, (((b) = (f3 @ (f8 @ a @ a_function)))),
% 217.63/31.77 inference('demod', [status(thm)],
% 217.63/31.77 [zip_derived_cl168486, zip_derived_cl439, zip_derived_cl763,
% 217.63/31.77 zip_derived_cl164])).
% 217.63/31.77 thf(zip_derived_cl12, plain,
% 217.63/31.77 (![X0 : $i]:
% 217.63/31.77 (~ (ordered_pair_predicate @ X0)
% 217.63/31.77 | ((X0) = (ordered_pair @ (f2 @ X0) @ (f3 @ X0))))),
% 217.63/31.77 inference('cnf', [status(esa)], [ordered_pair_predicate3])).
% 217.63/31.77 thf(zip_derived_cl168495, plain,
% 217.63/31.77 ((~ (ordered_pair_predicate @ (f8 @ a @ a_function))
% 217.63/31.77 | ((f8 @ a @ a_function)
% 217.63/31.77 = (ordered_pair @ (f2 @ (f8 @ a @ a_function)) @ b)))),
% 217.63/31.77 inference('s_sup+', [status(thm)],
% 217.63/31.77 [zip_derived_cl168487, zip_derived_cl12])).
% 217.63/31.77 thf(zip_derived_cl439, plain,
% 217.63/31.77 ( (ordered_pair_predicate @ (f8 @ a @ a_function))),
% 217.63/31.77 inference('s_sup-', [status(thm)], [zip_derived_cl163, zip_derived_cl33])).
% 217.63/31.77 thf(zip_derived_cl168501, plain,
% 217.63/31.77 (((f8 @ a @ a_function)
% 217.63/31.77 = (ordered_pair @ (f2 @ (f8 @ a @ a_function)) @ b))),
% 217.63/31.77 inference('demod', [status(thm)],
% 217.63/31.77 [zip_derived_cl168495, zip_derived_cl439])).
% 217.63/31.77 thf(zip_derived_cl170258, plain,
% 217.63/31.77 ((~ (ordered_pair_predicate @ (f8 @ a @ a_function))
% 217.63/31.77 | ((f8 @ a @ a_function)
% 217.63/31.77 = (ordered_pair @ (first @ (f8 @ a @ a_function)) @ b)))),
% 217.63/31.77 inference('s_sup+', [status(thm)],
% 217.63/31.77 [zip_derived_cl26724, zip_derived_cl168501])).
% 217.63/31.77 thf(zip_derived_cl439, plain,
% 217.63/31.77 ( (ordered_pair_predicate @ (f8 @ a @ a_function))),
% 217.63/31.77 inference('s_sup-', [status(thm)], [zip_derived_cl163, zip_derived_cl33])).
% 217.63/31.77 thf(zip_derived_cl763, plain, (((a) = (first @ (f8 @ a @ a_function)))),
% 217.63/31.77 inference('s_sup-', [status(thm)], [zip_derived_cl163, zip_derived_cl35])).
% 217.63/31.77 thf(zip_derived_cl170259, plain,
% 217.63/31.77 (((f8 @ a @ a_function) = (ordered_pair @ a @ b))),
% 217.63/31.77 inference('demod', [status(thm)],
% 217.63/31.77 [zip_derived_cl170258, zip_derived_cl439, zip_derived_cl763])).
% 217.63/31.77 thf(prove_ordered_pair_in_function, conjecture,
% 217.63/31.77 (member @ ( ordered_pair @ a @ b ) @ a_function)).
% 217.63/31.77 thf(zf_stmt_0, negated_conjecture,
% 217.63/31.77 (~( member @ ( ordered_pair @ a @ b ) @ a_function )),
% 217.63/31.77 inference('cnf.neg', [status(esa)], [prove_ordered_pair_in_function])).
% 217.63/31.77 thf(zip_derived_cl165, plain,
% 217.63/31.77 (~ (member @ (ordered_pair @ a @ b) @ a_function)),
% 217.63/31.77 inference('cnf', [status(esa)], [zf_stmt_0])).
% 217.63/31.77 thf(zip_derived_cl170445, plain, ($false),
% 217.63/31.77 inference('demod', [status(thm)],
% 217.63/31.77 [zip_derived_cl754, zip_derived_cl170259, zip_derived_cl165])).
% 217.63/31.77
% 217.63/31.77 % SZS output end Refutation
% 217.63/31.77
% 217.63/31.77
% 217.63/31.77 % Terminating...
% 218.22/31.89 % Runner terminated.
% 218.22/31.90 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------