TSTP Solution File: SET038-3 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET038-3 : TPTP v8.1.2. Released v1.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.W5J0ekkpLp true
% Computer : n001.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 222.65s 32.64s
% Output : Refutation 222.65s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SET038-3 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.W5J0ekkpLp true
% 0.12/0.34 % Computer : n001.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 : Sat Aug 26 09:31:16 EDT 2023
% 0.12/0.35 % CPUTime :
% 0.12/0.35 % Running portfolio for 300 s
% 0.12/0.35 % File : /export/starexec/sandbox2/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
% 0.18/0.57 % Total configuration time : 435
% 0.18/0.57 % Estimated wc time : 1092
% 0.18/0.57 % Estimated cpu time (7 cpus) : 156.0
% 0.18/0.67 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.18/0.67 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.18/0.68 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.18/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.18/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.18/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.18/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.18/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo1_lcnf.sh running for 50s
% 222.65/32.64 % Solved by fo/fo13.sh.
% 222.65/32.64 % done 7953 iterations in 31.850s
% 222.65/32.64 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 222.65/32.64 % SZS output start Refutation
% 222.65/32.64 thf(relation_type, type, relation: $i > $o).
% 222.65/32.64 thf(range_of_type, type, range_of: $i > $i).
% 222.65/32.64 thf(a_domain_type, type, a_domain: $i).
% 222.65/32.64 thf(second_type, type, second: $i > $i).
% 222.65/32.64 thf(f8_type, type, f8: $i > $i > $i).
% 222.65/32.64 thf(ordered_pair_type, type, ordered_pair: $i > $i > $i).
% 222.65/32.64 thf(a_type, type, a: $i).
% 222.65/32.64 thf(apply_type, type, apply: $i > $i > $i).
% 222.65/32.64 thf(subset_type, type, subset: $i > $i > $o).
% 222.65/32.64 thf(domain_of_type, type, domain_of: $i > $i).
% 222.65/32.64 thf(f3_type, type, f3: $i > $i).
% 222.65/32.64 thf(ordered_pair_predicate_type, type, ordered_pair_predicate: $i > $o).
% 222.65/32.64 thf(first_type, type, first: $i > $i).
% 222.65/32.64 thf(member_type, type, member: $i > $i > $o).
% 222.65/32.64 thf(a_range_type, type, a_range: $i).
% 222.65/32.64 thf(little_set_type, type, little_set: $i > $o).
% 222.65/32.64 thf(f2_type, type, f2: $i > $i).
% 222.65/32.64 thf(a_function_type, type, a_function: $i).
% 222.65/32.64 thf(maps_type, type, maps: $i > $i > $i > $o).
% 222.65/32.64 thf(function_type, type, function: $i > $o).
% 222.65/32.64 thf(member_of_domain, axiom, (member @ a @ a_domain)).
% 222.65/32.64 thf(zip_derived_cl164, plain, ( (member @ a @ a_domain)),
% 222.65/32.64 inference('cnf', [status(esa)], [member_of_domain])).
% 222.65/32.64 thf(a_mapping, axiom, (maps @ a_function @ a_domain @ a_range)).
% 222.65/32.64 thf(zip_derived_cl163, plain, ( (maps @ a_function @ a_domain @ a_range)),
% 222.65/32.64 inference('cnf', [status(esa)], [a_mapping])).
% 222.65/32.64 thf(maps2, axiom,
% 222.65/32.64 (( ~( maps @ Xf @ X @ Y ) ) | ( ( domain_of @ Xf ) = ( X ) ))).
% 222.65/32.64 thf(zip_derived_cl120, plain,
% 222.65/32.64 (![X0 : $i, X1 : $i, X2 : $i]:
% 222.65/32.64 (~ (maps @ X0 @ X1 @ X2) | ((domain_of @ X0) = (X1)))),
% 222.65/32.64 inference('cnf', [status(esa)], [maps2])).
% 222.65/32.64 thf(zip_derived_cl309, plain, (((domain_of @ a_function) = (a_domain))),
% 222.65/32.64 inference('s_sup-', [status(thm)], [zip_derived_cl163, zip_derived_cl120])).
% 222.65/32.64 thf(domain2, axiom,
% 222.65/32.64 (( ~( member @ Z @ ( domain_of @ X ) ) ) | ( member @ ( f8 @ Z @ X ) @ X ))).
% 222.65/32.64 thf(zip_derived_cl34, plain,
% 222.65/32.64 (![X0 : $i, X1 : $i]:
% 222.65/32.64 (~ (member @ X0 @ (domain_of @ X1)) | (member @ (f8 @ X0 @ X1) @ X1))),
% 222.65/32.64 inference('cnf', [status(esa)], [domain2])).
% 222.65/32.64 thf(zip_derived_cl764, plain,
% 222.65/32.64 (![X0 : $i]:
% 222.65/32.64 (~ (member @ X0 @ a_domain)
% 222.65/32.64 | (member @ (f8 @ X0 @ a_function) @ a_function))),
% 222.65/32.64 inference('s_sup-', [status(thm)], [zip_derived_cl309, zip_derived_cl34])).
% 222.65/32.64 thf(zip_derived_cl867, plain,
% 222.65/32.64 ( (member @ (f8 @ a @ a_function) @ a_function)),
% 222.65/32.64 inference('s_sup-', [status(thm)], [zip_derived_cl164, zip_derived_cl764])).
% 222.65/32.64 thf(range_of4, axiom,
% 222.65/32.64 (( member @ Z @ ( range_of @ X ) ) | ( ~( little_set @ Z ) ) |
% 222.65/32.64 ( ~( ordered_pair_predicate @ Xp ) ) | ( ~( member @ Xp @ X ) ) |
% 222.65/32.64 ( ( Z ) != ( second @ Xp ) ))).
% 222.65/32.64 thf(zip_derived_cl105, plain,
% 222.65/32.64 (![X0 : $i, X1 : $i, X2 : $i]:
% 222.65/32.64 ( (member @ X0 @ (range_of @ X1))
% 222.65/32.64 | ~ (little_set @ X0)
% 222.65/32.64 | ~ (ordered_pair_predicate @ X2)
% 222.65/32.64 | ~ (member @ X2 @ X1)
% 222.65/32.64 | ((X0) != (second @ X2)))),
% 222.65/32.64 inference('cnf', [status(esa)], [range_of4])).
% 222.65/32.64 thf(zip_derived_cl1134, plain,
% 222.65/32.64 (![X0 : $i, X1 : $i]:
% 222.65/32.64 (~ (member @ X1 @ X0)
% 222.65/32.64 | ~ (ordered_pair_predicate @ X1)
% 222.65/32.64 | ~ (little_set @ (second @ X1))
% 222.65/32.64 | (member @ (second @ X1) @ (range_of @ X0)))),
% 222.65/32.64 inference('eq_res', [status(thm)], [zip_derived_cl105])).
% 222.65/32.64 thf(second_component_is_small, axiom,
% 222.65/32.64 (( ~( ordered_pair_predicate @ X ) ) | ( little_set @ ( second @ X ) ))).
% 222.65/32.64 thf(zip_derived_cl148, plain,
% 222.65/32.64 (![X0 : $i]:
% 222.65/32.64 (~ (ordered_pair_predicate @ X0) | (little_set @ (second @ X0)))),
% 222.65/32.64 inference('cnf', [status(esa)], [second_component_is_small])).
% 222.65/32.64 thf(zip_derived_cl102251, plain,
% 222.65/32.64 (![X0 : $i, X1 : $i]:
% 222.65/32.64 ( (member @ (second @ X1) @ (range_of @ X0))
% 222.65/32.64 | ~ (ordered_pair_predicate @ X1)
% 222.65/32.64 | ~ (member @ X1 @ X0))),
% 222.65/32.64 inference('clc', [status(thm)], [zip_derived_cl1134, zip_derived_cl148])).
% 222.65/32.64 thf(zip_derived_cl102596, plain,
% 222.65/32.64 (( (member @ (second @ (f8 @ a @ a_function)) @ (range_of @ a_function))
% 222.65/32.64 | ~ (ordered_pair_predicate @ (f8 @ a @ a_function)))),
% 222.65/32.64 inference('s_sup-', [status(thm)],
% 222.65/32.64 [zip_derived_cl867, zip_derived_cl102251])).
% 222.65/32.65 thf(function1, axiom, (( ~( function @ Xf ) ) | ( relation @ Xf ))).
% 222.65/32.65 thf(zip_derived_cl85, plain,
% 222.65/32.65 (![X0 : $i]: (~ (function @ X0) | (relation @ X0))),
% 222.65/32.65 inference('cnf', [status(esa)], [function1])).
% 222.65/32.65 thf(zip_derived_cl867, plain,
% 222.65/32.65 ( (member @ (f8 @ a @ a_function) @ a_function)),
% 222.65/32.65 inference('s_sup-', [status(thm)], [zip_derived_cl164, zip_derived_cl764])).
% 222.65/32.65 thf(relation1, axiom,
% 222.65/32.65 (( ~( relation @ Z ) ) | ( ~( member @ X @ Z ) ) |
% 222.65/32.65 ( ordered_pair_predicate @ X ))).
% 222.65/32.65 thf(zip_derived_cl75, plain,
% 222.65/32.65 (![X0 : $i, X1 : $i]:
% 222.65/32.65 (~ (relation @ X0)
% 222.65/32.65 | ~ (member @ X1 @ X0)
% 222.65/32.65 | (ordered_pair_predicate @ X1))),
% 222.65/32.65 inference('cnf', [status(esa)], [relation1])).
% 222.65/32.65 thf(zip_derived_cl875, plain,
% 222.65/32.65 ((~ (relation @ a_function)
% 222.65/32.65 | (ordered_pair_predicate @ (f8 @ a @ a_function)))),
% 222.65/32.65 inference('s_sup-', [status(thm)], [zip_derived_cl867, zip_derived_cl75])).
% 222.65/32.65 thf(zip_derived_cl1004, plain,
% 222.65/32.65 ((~ (function @ a_function)
% 222.65/32.65 | (ordered_pair_predicate @ (f8 @ a @ a_function)))),
% 222.65/32.65 inference('s_sup-', [status(thm)], [zip_derived_cl85, zip_derived_cl875])).
% 222.65/32.65 thf(zip_derived_cl163, plain, ( (maps @ a_function @ a_domain @ a_range)),
% 222.65/32.65 inference('cnf', [status(esa)], [a_mapping])).
% 222.65/32.65 thf(maps1, axiom, (( ~( maps @ Xf @ X @ Y ) ) | ( function @ Xf ))).
% 222.65/32.65 thf(zip_derived_cl119, plain,
% 222.65/32.65 (![X0 : $i, X1 : $i, X2 : $i]:
% 222.65/32.65 (~ (maps @ X0 @ X1 @ X2) | (function @ X0))),
% 222.65/32.65 inference('cnf', [status(esa)], [maps1])).
% 222.65/32.65 thf(zip_derived_cl214, plain, ( (function @ a_function)),
% 222.65/32.65 inference('s_sup-', [status(thm)], [zip_derived_cl163, zip_derived_cl119])).
% 222.65/32.65 thf(zip_derived_cl1005, plain,
% 222.65/32.65 ( (ordered_pair_predicate @ (f8 @ a @ a_function))),
% 222.65/32.65 inference('demod', [status(thm)], [zip_derived_cl1004, zip_derived_cl214])).
% 222.65/32.65 thf(zip_derived_cl102950, plain,
% 222.65/32.65 ( (member @ (second @ (f8 @ a @ a_function)) @ (range_of @ a_function))),
% 222.65/32.65 inference('demod', [status(thm)],
% 222.65/32.65 [zip_derived_cl102596, zip_derived_cl1005])).
% 222.65/32.65 thf(zip_derived_cl163, plain, ( (maps @ a_function @ a_domain @ a_range)),
% 222.65/32.65 inference('cnf', [status(esa)], [a_mapping])).
% 222.65/32.65 thf(maps3, axiom,
% 222.65/32.65 (( ~( maps @ Xf @ X @ Y ) ) | ( subset @ ( range_of @ Xf ) @ Y ))).
% 222.65/32.65 thf(zip_derived_cl121, plain,
% 222.65/32.65 (![X0 : $i, X1 : $i, X2 : $i]:
% 222.65/32.65 (~ (maps @ X0 @ X1 @ X2) | (subset @ (range_of @ X0) @ X2))),
% 222.65/32.65 inference('cnf', [status(esa)], [maps3])).
% 222.65/32.65 thf(zip_derived_cl414, plain,
% 222.65/32.65 ( (subset @ (range_of @ a_function) @ a_range)),
% 222.65/32.65 inference('s_sup-', [status(thm)], [zip_derived_cl163, zip_derived_cl121])).
% 222.65/32.65 thf(subset1, axiom,
% 222.65/32.65 (( ~( subset @ X @ Y ) ) | ( ~( member @ U @ X ) ) | ( member @ U @ Y ))).
% 222.65/32.65 thf(zip_derived_cl66, plain,
% 222.65/32.65 (![X0 : $i, X1 : $i, X2 : $i]:
% 222.65/32.65 (~ (subset @ X0 @ X1) | ~ (member @ X2 @ X0) | (member @ X2 @ X1))),
% 222.65/32.65 inference('cnf', [status(esa)], [subset1])).
% 222.65/32.65 thf(zip_derived_cl427, plain,
% 222.65/32.65 (![X0 : $i]:
% 222.65/32.65 (~ (member @ X0 @ (range_of @ a_function)) | (member @ X0 @ a_range))),
% 222.65/32.65 inference('s_sup-', [status(thm)], [zip_derived_cl414, zip_derived_cl66])).
% 222.65/32.65 thf(zip_derived_cl103054, plain,
% 222.65/32.65 ( (member @ (second @ (f8 @ a @ a_function)) @ a_range)),
% 222.65/32.65 inference('s_sup-', [status(thm)],
% 222.65/32.65 [zip_derived_cl102950, zip_derived_cl427])).
% 222.65/32.65 thf(ordered_pair_predicate3, axiom,
% 222.65/32.65 (( ~( ordered_pair_predicate @ X ) ) |
% 222.65/32.65 ( ( X ) = ( ordered_pair @ ( f2 @ X ) @ ( f3 @ X ) ) ))).
% 222.65/32.65 thf(zip_derived_cl12, plain,
% 222.65/32.65 (![X0 : $i]:
% 222.65/32.65 (~ (ordered_pair_predicate @ X0)
% 222.65/32.65 | ((X0) = (ordered_pair @ (f2 @ X0) @ (f3 @ X0))))),
% 222.65/32.65 inference('cnf', [status(esa)], [ordered_pair_predicate3])).
% 222.65/32.65 thf(property_of_first, axiom,
% 222.65/32.65 (( ~( little_set @ X ) ) | ( ~( little_set @ Y ) ) |
% 222.65/32.65 ( ( first @ ( ordered_pair @ X @ Y ) ) = ( X ) ))).
% 222.65/32.65 thf(zip_derived_cl145, plain,
% 222.65/32.65 (![X0 : $i, X1 : $i]:
% 222.65/32.65 (~ (little_set @ X0)
% 222.65/32.65 | ~ (little_set @ X1)
% 222.65/32.65 | ((first @ (ordered_pair @ X0 @ X1)) = (X0)))),
% 222.65/32.65 inference('cnf', [status(esa)], [property_of_first])).
% 222.65/32.65 thf(zip_derived_cl568, plain,
% 222.65/32.65 (![X0 : $i]:
% 222.65/32.65 (~ (ordered_pair_predicate @ X0)
% 222.65/32.65 | ~ (little_set @ (f2 @ X0))
% 222.65/32.65 | ~ (little_set @ (f3 @ X0))
% 222.65/32.65 | ((first @ X0) = (f2 @ X0)))),
% 222.65/32.65 inference('s_sup+', [status(thm)], [zip_derived_cl12, zip_derived_cl145])).
% 222.65/32.65 thf(ordered_pair_predicate1, axiom,
% 222.65/32.65 (( ~( ordered_pair_predicate @ X ) ) | ( little_set @ ( f2 @ X ) ))).
% 222.65/32.65 thf(zip_derived_cl10, plain,
% 222.65/32.65 (![X0 : $i]:
% 222.65/32.65 (~ (ordered_pair_predicate @ X0) | (little_set @ (f2 @ X0)))),
% 222.65/32.65 inference('cnf', [status(esa)], [ordered_pair_predicate1])).
% 222.65/32.65 thf(zip_derived_cl24581, plain,
% 222.65/32.65 (![X0 : $i]:
% 222.65/32.65 (((first @ X0) = (f2 @ X0))
% 222.65/32.65 | ~ (little_set @ (f3 @ X0))
% 222.65/32.65 | ~ (ordered_pair_predicate @ X0))),
% 222.65/32.65 inference('clc', [status(thm)], [zip_derived_cl568, zip_derived_cl10])).
% 222.65/32.65 thf(ordered_pair_predicate2, axiom,
% 222.65/32.65 (( ~( ordered_pair_predicate @ X ) ) | ( little_set @ ( f3 @ X ) ))).
% 222.65/32.65 thf(zip_derived_cl11, plain,
% 222.65/32.65 (![X0 : $i]:
% 222.65/32.65 (~ (ordered_pair_predicate @ X0) | (little_set @ (f3 @ X0)))),
% 222.65/32.65 inference('cnf', [status(esa)], [ordered_pair_predicate2])).
% 222.65/32.65 thf(zip_derived_cl24582, plain,
% 222.65/32.65 (![X0 : $i]:
% 222.65/32.65 (~ (ordered_pair_predicate @ X0) | ((first @ X0) = (f2 @ X0)))),
% 222.65/32.65 inference('clc', [status(thm)], [zip_derived_cl24581, zip_derived_cl11])).
% 222.65/32.65 thf(zip_derived_cl867, plain,
% 222.65/32.65 ( (member @ (f8 @ a @ a_function) @ a_function)),
% 222.65/32.65 inference('s_sup-', [status(thm)], [zip_derived_cl164, zip_derived_cl764])).
% 222.65/32.65 thf(zip_derived_cl12, plain,
% 222.65/32.65 (![X0 : $i]:
% 222.65/32.65 (~ (ordered_pair_predicate @ X0)
% 222.65/32.65 | ((X0) = (ordered_pair @ (f2 @ X0) @ (f3 @ X0))))),
% 222.65/32.65 inference('cnf', [status(esa)], [ordered_pair_predicate3])).
% 222.65/32.65 thf(apply_for_functions1, axiom,
% 222.65/32.65 (( ~( little_set @ X ) ) | ( ~( little_set @ Y ) ) |
% 222.65/32.65 ( ~( function @ Xf ) ) |
% 222.65/32.65 ( ~( member @ ( ordered_pair @ X @ Y ) @ Xf ) ) |
% 222.65/32.65 ( ( apply @ Xf @ X ) = ( Y ) ))).
% 222.65/32.65 thf(zip_derived_cl161, plain,
% 222.65/32.65 (![X0 : $i, X1 : $i, X2 : $i]:
% 222.65/32.65 (~ (little_set @ X0)
% 222.65/32.65 | ~ (little_set @ X1)
% 222.65/32.65 | ~ (function @ X2)
% 222.65/32.65 | ~ (member @ (ordered_pair @ X0 @ X1) @ X2)
% 222.65/32.65 | ((apply @ X2 @ X0) = (X1)))),
% 222.65/32.65 inference('cnf', [status(esa)], [apply_for_functions1])).
% 222.65/32.65 thf(zip_derived_cl1148, plain,
% 222.65/32.65 (![X0 : $i, X1 : $i]:
% 222.65/32.65 (~ (ordered_pair_predicate @ X0)
% 222.65/32.65 | ~ (little_set @ (f2 @ X0))
% 222.65/32.65 | ~ (little_set @ (f3 @ X0))
% 222.65/32.65 | ~ (function @ X1)
% 222.65/32.65 | ~ (member @ X0 @ X1)
% 222.65/32.65 | ((apply @ X1 @ (f2 @ X0)) = (f3 @ X0)))),
% 222.65/32.65 inference('s_sup-', [status(thm)], [zip_derived_cl12, zip_derived_cl161])).
% 222.65/32.65 thf(zip_derived_cl10, plain,
% 222.65/32.65 (![X0 : $i]:
% 222.65/32.65 (~ (ordered_pair_predicate @ X0) | (little_set @ (f2 @ X0)))),
% 222.65/32.65 inference('cnf', [status(esa)], [ordered_pair_predicate1])).
% 222.65/32.65 thf(zip_derived_cl104905, plain,
% 222.65/32.65 (![X0 : $i, X1 : $i]:
% 222.65/32.65 (((apply @ X1 @ (f2 @ X0)) = (f3 @ X0))
% 222.65/32.65 | ~ (member @ X0 @ X1)
% 222.65/32.65 | ~ (function @ X1)
% 222.65/32.65 | ~ (little_set @ (f3 @ X0))
% 222.65/32.65 | ~ (ordered_pair_predicate @ X0))),
% 222.65/32.65 inference('clc', [status(thm)], [zip_derived_cl1148, zip_derived_cl10])).
% 222.65/32.65 thf(zip_derived_cl11, plain,
% 222.65/32.65 (![X0 : $i]:
% 222.65/32.65 (~ (ordered_pair_predicate @ X0) | (little_set @ (f3 @ X0)))),
% 222.65/32.65 inference('cnf', [status(esa)], [ordered_pair_predicate2])).
% 222.65/32.65 thf(zip_derived_cl104906, plain,
% 222.65/32.65 (![X0 : $i, X1 : $i]:
% 222.65/32.65 (~ (ordered_pair_predicate @ X0)
% 222.65/32.65 | ~ (function @ X1)
% 222.65/32.65 | ~ (member @ X0 @ X1)
% 222.65/32.65 | ((apply @ X1 @ (f2 @ X0)) = (f3 @ X0)))),
% 222.65/32.65 inference('clc', [status(thm)], [zip_derived_cl104905, zip_derived_cl11])).
% 222.65/32.65 thf(zip_derived_cl105221, plain,
% 222.65/32.65 ((~ (ordered_pair_predicate @ (f8 @ a @ a_function))
% 222.65/32.65 | ~ (function @ a_function)
% 222.65/32.65 | ((apply @ a_function @ (f2 @ (f8 @ a @ a_function)))
% 222.65/32.65 = (f3 @ (f8 @ a @ a_function))))),
% 222.65/32.65 inference('s_sup-', [status(thm)],
% 222.65/32.65 [zip_derived_cl867, zip_derived_cl104906])).
% 222.65/32.65 thf(zip_derived_cl1005, plain,
% 222.65/32.65 ( (ordered_pair_predicate @ (f8 @ a @ a_function))),
% 222.65/32.65 inference('demod', [status(thm)], [zip_derived_cl1004, zip_derived_cl214])).
% 222.65/32.65 thf(zip_derived_cl214, plain, ( (function @ a_function)),
% 222.65/32.65 inference('s_sup-', [status(thm)], [zip_derived_cl163, zip_derived_cl119])).
% 222.65/32.65 thf(zip_derived_cl105622, plain,
% 222.65/32.65 (((apply @ a_function @ (f2 @ (f8 @ a @ a_function)))
% 222.65/32.65 = (f3 @ (f8 @ a @ a_function)))),
% 222.65/32.65 inference('demod', [status(thm)],
% 222.65/32.65 [zip_derived_cl105221, zip_derived_cl1005, zip_derived_cl214])).
% 222.65/32.65 thf(zip_derived_cl106096, plain,
% 222.65/32.65 ((~ (ordered_pair_predicate @ (f8 @ a @ a_function))
% 222.65/32.65 | ((apply @ a_function @ (first @ (f8 @ a @ a_function)))
% 222.65/32.65 = (f3 @ (f8 @ a @ a_function))))),
% 222.65/32.65 inference('s_sup+', [status(thm)],
% 222.65/32.65 [zip_derived_cl24582, zip_derived_cl105622])).
% 222.65/32.65 thf(zip_derived_cl1005, plain,
% 222.65/32.65 ( (ordered_pair_predicate @ (f8 @ a @ a_function))),
% 222.65/32.65 inference('demod', [status(thm)], [zip_derived_cl1004, zip_derived_cl214])).
% 222.65/32.65 thf(zip_derived_cl164, plain, ( (member @ a @ a_domain)),
% 222.65/32.65 inference('cnf', [status(esa)], [member_of_domain])).
% 222.65/32.65 thf(zip_derived_cl309, plain, (((domain_of @ a_function) = (a_domain))),
% 222.65/32.65 inference('s_sup-', [status(thm)], [zip_derived_cl163, zip_derived_cl120])).
% 222.65/32.65 thf(domain3, axiom,
% 222.65/32.65 (( ~( member @ Z @ ( domain_of @ X ) ) ) |
% 222.65/32.65 ( ( Z ) = ( first @ ( f8 @ Z @ X ) ) ))).
% 222.65/32.65 thf(zip_derived_cl35, plain,
% 222.65/32.65 (![X0 : $i, X1 : $i]:
% 222.65/32.65 (~ (member @ X0 @ (domain_of @ X1))
% 222.65/32.65 | ((X0) = (first @ (f8 @ X0 @ X1))))),
% 222.65/32.65 inference('cnf', [status(esa)], [domain3])).
% 222.65/32.65 thf(zip_derived_cl773, plain,
% 222.65/32.65 (![X0 : $i]:
% 222.65/32.65 (~ (member @ X0 @ a_domain)
% 222.65/32.65 | ((X0) = (first @ (f8 @ X0 @ a_function))))),
% 222.65/32.65 inference('s_sup-', [status(thm)], [zip_derived_cl309, zip_derived_cl35])).
% 222.65/32.65 thf(zip_derived_cl14908, plain, (((a) = (first @ (f8 @ a @ a_function)))),
% 222.65/32.65 inference('s_sup-', [status(thm)], [zip_derived_cl164, zip_derived_cl773])).
% 222.65/32.65 thf(zip_derived_cl106097, plain,
% 222.65/32.65 (((apply @ a_function @ a) = (f3 @ (f8 @ a @ a_function)))),
% 222.65/32.65 inference('demod', [status(thm)],
% 222.65/32.65 [zip_derived_cl106096, zip_derived_cl1005, zip_derived_cl14908])).
% 222.65/32.65 thf(zip_derived_cl12, plain,
% 222.65/32.65 (![X0 : $i]:
% 222.65/32.65 (~ (ordered_pair_predicate @ X0)
% 222.65/32.65 | ((X0) = (ordered_pair @ (f2 @ X0) @ (f3 @ X0))))),
% 222.65/32.65 inference('cnf', [status(esa)], [ordered_pair_predicate3])).
% 222.65/32.65 thf(property_of_second, axiom,
% 222.65/32.65 (( ~( little_set @ X ) ) | ( ~( little_set @ Y ) ) |
% 222.65/32.65 ( ( second @ ( ordered_pair @ X @ Y ) ) = ( Y ) ))).
% 222.65/32.65 thf(zip_derived_cl146, plain,
% 222.65/32.65 (![X0 : $i, X1 : $i]:
% 222.65/32.65 (~ (little_set @ X0)
% 222.65/32.65 | ~ (little_set @ X1)
% 222.65/32.65 | ((second @ (ordered_pair @ X0 @ X1)) = (X1)))),
% 222.65/32.65 inference('cnf', [status(esa)], [property_of_second])).
% 222.65/32.65 thf(zip_derived_cl574, plain,
% 222.65/32.65 (![X0 : $i]:
% 222.65/32.65 (~ (ordered_pair_predicate @ X0)
% 222.65/32.65 | ~ (little_set @ (f2 @ X0))
% 222.65/32.65 | ~ (little_set @ (f3 @ X0))
% 222.65/32.65 | ((second @ X0) = (f3 @ X0)))),
% 222.65/32.65 inference('s_sup+', [status(thm)], [zip_derived_cl12, zip_derived_cl146])).
% 222.65/32.65 thf(zip_derived_cl10, plain,
% 222.65/32.65 (![X0 : $i]:
% 222.65/32.65 (~ (ordered_pair_predicate @ X0) | (little_set @ (f2 @ X0)))),
% 222.65/32.65 inference('cnf', [status(esa)], [ordered_pair_predicate1])).
% 222.65/32.65 thf(zip_derived_cl25819, plain,
% 222.65/32.65 (![X0 : $i]:
% 222.65/32.65 (((second @ X0) = (f3 @ X0))
% 222.65/32.65 | ~ (little_set @ (f3 @ X0))
% 222.65/32.65 | ~ (ordered_pair_predicate @ X0))),
% 222.65/32.65 inference('clc', [status(thm)], [zip_derived_cl574, zip_derived_cl10])).
% 222.65/32.65 thf(zip_derived_cl11, plain,
% 222.65/32.65 (![X0 : $i]:
% 222.65/32.65 (~ (ordered_pair_predicate @ X0) | (little_set @ (f3 @ X0)))),
% 222.65/32.65 inference('cnf', [status(esa)], [ordered_pair_predicate2])).
% 222.65/32.65 thf(zip_derived_cl25820, plain,
% 222.65/32.65 (![X0 : $i]:
% 222.65/32.65 (~ (ordered_pair_predicate @ X0) | ((second @ X0) = (f3 @ X0)))),
% 222.65/32.65 inference('clc', [status(thm)], [zip_derived_cl25819, zip_derived_cl11])).
% 222.65/32.65 thf(zip_derived_cl106107, plain,
% 222.65/32.65 ((~ (ordered_pair_predicate @ (f8 @ a @ a_function))
% 222.65/32.65 | ((second @ (f8 @ a @ a_function)) = (apply @ a_function @ a)))),
% 222.65/32.65 inference('s_sup+', [status(thm)],
% 222.65/32.65 [zip_derived_cl106097, zip_derived_cl25820])).
% 222.65/32.65 thf(zip_derived_cl1005, plain,
% 222.65/32.65 ( (ordered_pair_predicate @ (f8 @ a @ a_function))),
% 222.65/32.65 inference('demod', [status(thm)], [zip_derived_cl1004, zip_derived_cl214])).
% 222.65/32.65 thf(zip_derived_cl106113, plain,
% 222.65/32.65 (((second @ (f8 @ a @ a_function)) = (apply @ a_function @ a))),
% 222.65/32.65 inference('demod', [status(thm)],
% 222.65/32.65 [zip_derived_cl106107, zip_derived_cl1005])).
% 222.65/32.65 thf(prove_mapping_in_range, conjecture,
% 222.65/32.65 (member @ ( apply @ a_function @ a ) @ a_range)).
% 222.65/32.65 thf(zf_stmt_0, negated_conjecture,
% 222.65/32.65 (~( member @ ( apply @ a_function @ a ) @ a_range )),
% 222.65/32.65 inference('cnf.neg', [status(esa)], [prove_mapping_in_range])).
% 222.65/32.65 thf(zip_derived_cl165, plain,
% 222.65/32.65 (~ (member @ (apply @ a_function @ a) @ a_range)),
% 222.65/32.65 inference('cnf', [status(esa)], [zf_stmt_0])).
% 222.65/32.65 thf(zip_derived_cl106258, plain, ($false),
% 222.65/32.65 inference('demod', [status(thm)],
% 222.65/32.65 [zip_derived_cl103054, zip_derived_cl106113, zip_derived_cl165])).
% 222.65/32.65
% 222.65/32.65 % SZS output end Refutation
% 222.65/32.65
% 222.65/32.65
% 222.65/32.65 % Terminating...
% 223.00/32.77 % Runner terminated.
% 223.00/32.79 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------