TSTP Solution File: SET012-3 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET012-3 : 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.RHEhUTlIJf true
% Computer : n014.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 16:11:40 EDT 2023
% Result : Unsatisfiable 45.12s 7.10s
% Output : Refutation 45.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SET012-3 : 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.RHEhUTlIJf true
% 0.15/0.36 % Computer : n014.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Sat Aug 26 12:57:47 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % Running portfolio for 300 s
% 0.15/0.36 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.36 % Number of cores: 8
% 0.15/0.36 % Python version: Python 3.6.8
% 0.15/0.36 % Running in FO mode
% 0.23/0.65 % Total configuration time : 435
% 0.23/0.65 % Estimated wc time : 1092
% 0.23/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.23/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.23/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.23/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.23/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.23/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.23/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.23/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.23/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo1_lcnf.sh running for 50s
% 0.23/0.80 % /export/starexec/sandbox2/solver/bin/fo/fo17_bce.sh running for 50s
% 0.23/0.80 % /export/starexec/sandbox2/solver/bin/fo/fo8.sh running for 50s
% 45.12/7.10 % Solved by fo/fo5.sh.
% 45.12/7.10 % done 4198 iterations in 6.303s
% 45.12/7.10 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 45.12/7.10 % SZS output start Refutation
% 45.12/7.10 thf(singleton_set_type, type, singleton_set: $i > $i).
% 45.12/7.10 thf(non_ordered_pair_type, type, non_ordered_pair: $i > $i > $i).
% 45.12/7.10 thf(complement_type, type, complement: $i > $i).
% 45.12/7.10 thf(subset_type, type, subset: $i > $i > $o).
% 45.12/7.10 thf(cs_type, type, cs: $i).
% 45.12/7.10 thf(f23_type, type, f23: $i > $i > $i).
% 45.12/7.10 thf(f17_type, type, f17: $i > $i > $i).
% 45.12/7.10 thf(member_type, type, member: $i > $i > $o).
% 45.12/7.10 thf(little_set_type, type, little_set: $i > $o).
% 45.12/7.10 thf(disjoint_type, type, disjoint: $i > $i > $o).
% 45.12/7.10 thf(bs_type, type, bs: $i).
% 45.12/7.10 thf(as_type, type, as: $i).
% 45.12/7.10 thf(f1_type, type, f1: $i > $i > $i).
% 45.12/7.10 thf(complement_of_b_is_c, axiom, (( complement @ bs ) = ( cs ))).
% 45.12/7.10 thf(zip_derived_cl142, plain, (((complement @ bs) = (cs))),
% 45.12/7.10 inference('cnf', [status(esa)], [complement_of_b_is_c])).
% 45.12/7.10 thf(complement2, axiom,
% 45.12/7.10 (( member @ Z @ ( complement @ X ) ) | ( ~( little_set @ Z ) ) |
% 45.12/7.10 ( member @ Z @ X ))).
% 45.12/7.10 thf(zip_derived_cl31, plain,
% 45.12/7.10 (![X0 : $i, X1 : $i]:
% 45.12/7.10 ( (member @ X0 @ (complement @ X1))
% 45.12/7.10 | ~ (little_set @ X0)
% 45.12/7.10 | (member @ X0 @ X1))),
% 45.12/7.10 inference('cnf', [status(esa)], [complement2])).
% 45.12/7.10 thf(zip_derived_cl789, plain,
% 45.12/7.10 (![X0 : $i]:
% 45.12/7.10 ( (member @ X0 @ cs) | (member @ X0 @ bs) | ~ (little_set @ X0))),
% 45.12/7.10 inference('sup+', [status(thm)], [zip_derived_cl142, zip_derived_cl31])).
% 45.12/7.10 thf(singleton_set, axiom,
% 45.12/7.10 (( singleton_set @ X ) = ( non_ordered_pair @ X @ X ))).
% 45.12/7.10 thf(zip_derived_cl8, plain,
% 45.12/7.10 (![X0 : $i]: ((singleton_set @ X0) = (non_ordered_pair @ X0 @ X0))),
% 45.12/7.10 inference('cnf', [status(esa)], [singleton_set])).
% 45.12/7.10 thf(non_ordered_pair2, axiom,
% 45.12/7.10 (( member @ U @ ( non_ordered_pair @ X @ Y ) ) | ( ~( little_set @ U ) ) |
% 45.12/7.10 ( ( U ) != ( X ) ))).
% 45.12/7.10 thf(zip_derived_cl5, plain,
% 45.12/7.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 45.12/7.10 ( (member @ X0 @ (non_ordered_pair @ X1 @ X2))
% 45.12/7.10 | ~ (little_set @ X0)
% 45.12/7.10 | ((X0) != (X1)))),
% 45.12/7.10 inference('cnf', [status(esa)], [non_ordered_pair2])).
% 45.12/7.10 thf(zip_derived_cl284, plain,
% 45.12/7.10 (![X0 : $i, X1 : $i]:
% 45.12/7.10 (~ (little_set @ X0) | (member @ X0 @ (non_ordered_pair @ X0 @ X1)))),
% 45.12/7.10 inference('eq_res', [status(thm)], [zip_derived_cl5])).
% 45.12/7.10 thf(zip_derived_cl3988, plain,
% 45.12/7.10 (![X0 : $i]:
% 45.12/7.10 ( (member @ X0 @ (singleton_set @ X0)) | ~ (little_set @ X0))),
% 45.12/7.10 inference('sup+', [status(thm)], [zip_derived_cl8, zip_derived_cl284])).
% 45.12/7.10 thf(zip_derived_cl789, plain,
% 45.12/7.10 (![X0 : $i]:
% 45.12/7.10 ( (member @ X0 @ cs) | (member @ X0 @ bs) | ~ (little_set @ X0))),
% 45.12/7.10 inference('sup+', [status(thm)], [zip_derived_cl142, zip_derived_cl31])).
% 45.12/7.10 thf(disjoint2, axiom,
% 45.12/7.10 (( disjoint @ X @ Y ) | ( member @ ( f23 @ X @ Y ) @ X ))).
% 45.12/7.10 thf(zip_derived_cl95, plain,
% 45.12/7.10 (![X0 : $i, X1 : $i]:
% 45.12/7.10 ( (disjoint @ X0 @ X1) | (member @ (f23 @ X0 @ X1) @ X0))),
% 45.12/7.10 inference('cnf', [status(esa)], [disjoint2])).
% 45.12/7.10 thf(zip_derived_cl8, plain,
% 45.12/7.10 (![X0 : $i]: ((singleton_set @ X0) = (non_ordered_pair @ X0 @ X0))),
% 45.12/7.10 inference('cnf', [status(esa)], [singleton_set])).
% 45.12/7.10 thf(non_ordered_pair1, axiom,
% 45.12/7.10 (( ~( member @ U @ ( non_ordered_pair @ X @ Y ) ) ) | ( ( U ) = ( X ) ) |
% 45.12/7.10 ( ( U ) = ( Y ) ))).
% 45.12/7.10 thf(zip_derived_cl4, plain,
% 45.12/7.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 45.12/7.10 (~ (member @ X0 @ (non_ordered_pair @ X1 @ X2))
% 45.12/7.10 | ((X0) = (X1))
% 45.12/7.10 | ((X0) = (X2)))),
% 45.12/7.10 inference('cnf', [status(esa)], [non_ordered_pair1])).
% 45.12/7.10 thf(zip_derived_cl248, plain,
% 45.12/7.10 (![X0 : $i, X1 : $i]:
% 45.12/7.10 (~ (member @ X1 @ (singleton_set @ X0))
% 45.12/7.10 | ((X1) = (X0))
% 45.12/7.10 | ((X1) = (X0)))),
% 45.12/7.10 inference('sup-', [status(thm)], [zip_derived_cl8, zip_derived_cl4])).
% 45.12/7.10 thf(zip_derived_cl249, plain,
% 45.12/7.10 (![X0 : $i, X1 : $i]:
% 45.12/7.10 (((X1) = (X0)) | ~ (member @ X1 @ (singleton_set @ X0)))),
% 45.12/7.10 inference('simplify', [status(thm)], [zip_derived_cl248])).
% 45.12/7.10 thf(zip_derived_cl877, plain,
% 45.12/7.10 (![X0 : $i, X1 : $i]:
% 45.12/7.10 ( (disjoint @ (singleton_set @ X0) @ X1)
% 45.12/7.10 | ((f23 @ (singleton_set @ X0) @ X1) = (X0)))),
% 45.12/7.10 inference('sup-', [status(thm)], [zip_derived_cl95, zip_derived_cl249])).
% 45.12/7.10 thf(disjoint3, axiom,
% 45.12/7.10 (( disjoint @ X @ Y ) | ( member @ ( f23 @ X @ Y ) @ Y ))).
% 45.12/7.10 thf(zip_derived_cl96, plain,
% 45.12/7.10 (![X0 : $i, X1 : $i]:
% 45.12/7.10 ( (disjoint @ X0 @ X1) | (member @ (f23 @ X0 @ X1) @ X1))),
% 45.12/7.10 inference('cnf', [status(esa)], [disjoint3])).
% 45.12/7.10 thf(complement_of_a_is_b, axiom, (( complement @ as ) = ( bs ))).
% 45.12/7.10 thf(zip_derived_cl141, plain, (((complement @ as) = (bs))),
% 45.12/7.10 inference('cnf', [status(esa)], [complement_of_a_is_b])).
% 45.12/7.10 thf(zip_derived_cl31, plain,
% 45.12/7.10 (![X0 : $i, X1 : $i]:
% 45.12/7.10 ( (member @ X0 @ (complement @ X1))
% 45.12/7.10 | ~ (little_set @ X0)
% 45.12/7.10 | (member @ X0 @ X1))),
% 45.12/7.10 inference('cnf', [status(esa)], [complement2])).
% 45.12/7.10 thf(zip_derived_cl788, plain,
% 45.12/7.10 (![X0 : $i]:
% 45.12/7.10 ( (member @ X0 @ bs) | (member @ X0 @ as) | ~ (little_set @ X0))),
% 45.12/7.10 inference('sup+', [status(thm)], [zip_derived_cl141, zip_derived_cl31])).
% 45.12/7.10 thf(subset2, axiom, (( subset @ X @ Y ) | ( member @ ( f17 @ X @ Y ) @ X ))).
% 45.12/7.10 thf(zip_derived_cl67, plain,
% 45.12/7.10 (![X0 : $i, X1 : $i]:
% 45.12/7.10 ( (subset @ X0 @ X1) | (member @ (f17 @ X0 @ X1) @ X0))),
% 45.12/7.10 inference('cnf', [status(esa)], [subset2])).
% 45.12/7.10 thf(zip_derived_cl142, plain, (((complement @ bs) = (cs))),
% 45.12/7.10 inference('cnf', [status(esa)], [complement_of_b_is_c])).
% 45.12/7.10 thf(complement1, axiom,
% 45.12/7.10 (( ~( member @ Z @ ( complement @ X ) ) ) | ( ~( member @ Z @ X ) ))).
% 45.12/7.10 thf(zip_derived_cl30, plain,
% 45.12/7.10 (![X0 : $i, X1 : $i]:
% 45.12/7.10 (~ (member @ X0 @ (complement @ X1)) | ~ (member @ X0 @ X1))),
% 45.12/7.10 inference('cnf', [status(esa)], [complement1])).
% 45.12/7.10 thf(zip_derived_cl156, plain,
% 45.12/7.10 (![X0 : $i]: (~ (member @ X0 @ cs) | ~ (member @ X0 @ bs))),
% 45.12/7.10 inference('sup-', [status(thm)], [zip_derived_cl142, zip_derived_cl30])).
% 45.12/7.10 thf(zip_derived_cl868, plain,
% 45.12/7.10 (![X0 : $i]: ( (subset @ cs @ X0) | ~ (member @ (f17 @ cs @ X0) @ bs))),
% 45.12/7.10 inference('sup-', [status(thm)], [zip_derived_cl67, zip_derived_cl156])).
% 45.12/7.10 thf(zip_derived_cl2894, plain,
% 45.12/7.10 (![X0 : $i]:
% 45.12/7.10 (~ (little_set @ (f17 @ cs @ X0))
% 45.12/7.10 | (member @ (f17 @ cs @ X0) @ as)
% 45.12/7.10 | (subset @ cs @ X0))),
% 45.12/7.10 inference('sup-', [status(thm)], [zip_derived_cl788, zip_derived_cl868])).
% 45.12/7.10 thf(zip_derived_cl67, plain,
% 45.12/7.10 (![X0 : $i, X1 : $i]:
% 45.12/7.10 ( (subset @ X0 @ X1) | (member @ (f17 @ X0 @ X1) @ X0))),
% 45.12/7.10 inference('cnf', [status(esa)], [subset2])).
% 45.12/7.10 thf(a2, axiom, (( ~( member @ X @ Y ) ) | ( little_set @ X ))).
% 45.12/7.10 thf(zip_derived_cl0, plain,
% 45.12/7.10 (![X0 : $i, X1 : $i]: (~ (member @ X0 @ X1) | (little_set @ X0))),
% 45.12/7.10 inference('cnf', [status(esa)], [a2])).
% 45.12/7.10 thf(zip_derived_cl816, plain,
% 45.12/7.10 (![X0 : $i, X1 : $i]:
% 45.12/7.10 ( (subset @ X0 @ X1) | (little_set @ (f17 @ X0 @ X1)))),
% 45.12/7.10 inference('sup-', [status(thm)], [zip_derived_cl67, zip_derived_cl0])).
% 45.12/7.10 thf(zip_derived_cl7611, plain,
% 45.12/7.10 (![X0 : $i]: ( (subset @ cs @ X0) | (member @ (f17 @ cs @ X0) @ as))),
% 45.12/7.10 inference('clc', [status(thm)], [zip_derived_cl2894, zip_derived_cl816])).
% 45.12/7.10 thf(subset3, axiom,
% 45.12/7.10 (( subset @ X @ Y ) | ( ~( member @ ( f17 @ X @ Y ) @ Y ) ))).
% 45.12/7.10 thf(zip_derived_cl68, plain,
% 45.12/7.10 (![X0 : $i, X1 : $i]:
% 45.12/7.10 ( (subset @ X0 @ X1) | ~ (member @ (f17 @ X0 @ X1) @ X1))),
% 45.12/7.10 inference('cnf', [status(esa)], [subset3])).
% 45.12/7.10 thf(zip_derived_cl7621, plain, (( (subset @ cs @ as) | (subset @ cs @ as))),
% 45.12/7.10 inference('sup-', [status(thm)], [zip_derived_cl7611, zip_derived_cl68])).
% 45.12/7.10 thf(zip_derived_cl7622, plain, ( (subset @ cs @ as)),
% 45.12/7.10 inference('simplify', [status(thm)], [zip_derived_cl7621])).
% 45.12/7.10 thf(subset1, axiom,
% 45.12/7.10 (( ~( subset @ X @ Y ) ) | ( ~( member @ U @ X ) ) | ( member @ U @ Y ))).
% 45.12/7.10 thf(zip_derived_cl66, plain,
% 45.12/7.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 45.12/7.10 (~ (subset @ X0 @ X1) | ~ (member @ X2 @ X0) | (member @ X2 @ X1))),
% 45.12/7.10 inference('cnf', [status(esa)], [subset1])).
% 45.12/7.10 thf(zip_derived_cl7623, plain,
% 45.12/7.10 (![X0 : $i]: ( (member @ X0 @ as) | ~ (member @ X0 @ cs))),
% 45.12/7.10 inference('sup-', [status(thm)], [zip_derived_cl7622, zip_derived_cl66])).
% 45.12/7.10 thf(zip_derived_cl7656, plain,
% 45.12/7.10 (![X0 : $i]: ( (disjoint @ X0 @ cs) | (member @ (f23 @ X0 @ cs) @ as))),
% 45.12/7.10 inference('sup-', [status(thm)], [zip_derived_cl96, zip_derived_cl7623])).
% 45.12/7.10 thf(zip_derived_cl10174, plain,
% 45.12/7.10 (![X0 : $i]:
% 45.12/7.10 ( (member @ X0 @ as)
% 45.12/7.10 | (disjoint @ (singleton_set @ X0) @ cs)
% 45.12/7.10 | (disjoint @ (singleton_set @ X0) @ cs))),
% 45.12/7.10 inference('sup+', [status(thm)], [zip_derived_cl877, zip_derived_cl7656])).
% 45.12/7.10 thf(zip_derived_cl10187, plain,
% 45.12/7.10 (![X0 : $i]:
% 45.12/7.10 ( (disjoint @ (singleton_set @ X0) @ cs) | (member @ X0 @ as))),
% 45.12/7.10 inference('simplify', [status(thm)], [zip_derived_cl10174])).
% 45.12/7.10 thf(extensionality3, axiom,
% 45.12/7.10 (( ~( member @ ( f1 @ X @ Y ) @ X ) ) |
% 45.12/7.10 ( ~( member @ ( f1 @ X @ Y ) @ Y ) ) | ( ( X ) = ( Y ) ))).
% 45.12/7.10 thf(zip_derived_cl3, plain,
% 45.12/7.10 (![X0 : $i, X1 : $i]:
% 45.12/7.10 (~ (member @ (f1 @ X0 @ X1) @ X0)
% 45.12/7.10 | ~ (member @ (f1 @ X0 @ X1) @ X1)
% 45.12/7.10 | ((X0) = (X1)))),
% 45.12/7.10 inference('cnf', [status(esa)], [extensionality3])).
% 45.12/7.10 thf(zip_derived_cl10472, plain,
% 45.12/7.10 (![X0 : $i]:
% 45.12/7.10 ( (disjoint @ (singleton_set @ (f1 @ as @ X0)) @ cs)
% 45.12/7.10 | ((as) = (X0))
% 45.12/7.10 | ~ (member @ (f1 @ as @ X0) @ X0))),
% 45.12/7.10 inference('sup-', [status(thm)], [zip_derived_cl10187, zip_derived_cl3])).
% 45.12/7.10 thf(zip_derived_cl44887, plain,
% 45.12/7.10 ((~ (little_set @ (f1 @ as @ cs))
% 45.12/7.10 | (member @ (f1 @ as @ cs) @ bs)
% 45.12/7.10 | ((as) = (cs))
% 45.12/7.10 | (disjoint @ (singleton_set @ (f1 @ as @ cs)) @ cs))),
% 45.12/7.10 inference('sup-', [status(thm)], [zip_derived_cl789, zip_derived_cl10472])).
% 45.12/7.10 thf(prove_a_equals_c, conjecture, (( as ) = ( cs ))).
% 45.12/7.10 thf(zf_stmt_0, negated_conjecture, (( as ) != ( cs )),
% 45.12/7.10 inference('cnf.neg', [status(esa)], [prove_a_equals_c])).
% 45.12/7.10 thf(zip_derived_cl143, plain, (((as) != (cs))),
% 45.12/7.10 inference('cnf', [status(esa)], [zf_stmt_0])).
% 45.12/7.10 thf(zip_derived_cl44895, plain,
% 45.12/7.10 ((~ (little_set @ (f1 @ as @ cs))
% 45.12/7.10 | (member @ (f1 @ as @ cs) @ bs)
% 45.12/7.10 | (disjoint @ (singleton_set @ (f1 @ as @ cs)) @ cs))),
% 45.12/7.10 inference('simplify_reflect-', [status(thm)],
% 45.12/7.10 [zip_derived_cl44887, zip_derived_cl143])).
% 45.12/7.10 thf(zip_derived_cl877, plain,
% 45.12/7.10 (![X0 : $i, X1 : $i]:
% 45.12/7.10 ( (disjoint @ (singleton_set @ X0) @ X1)
% 45.12/7.10 | ((f23 @ (singleton_set @ X0) @ X1) = (X0)))),
% 45.12/7.10 inference('sup-', [status(thm)], [zip_derived_cl95, zip_derived_cl249])).
% 45.12/7.10 thf(zip_derived_cl95, plain,
% 45.12/7.10 (![X0 : $i, X1 : $i]:
% 45.12/7.10 ( (disjoint @ X0 @ X1) | (member @ (f23 @ X0 @ X1) @ X0))),
% 45.12/7.10 inference('cnf', [status(esa)], [disjoint2])).
% 45.12/7.10 thf(zip_derived_cl0, plain,
% 45.12/7.10 (![X0 : $i, X1 : $i]: (~ (member @ X0 @ X1) | (little_set @ X0))),
% 45.12/7.10 inference('cnf', [status(esa)], [a2])).
% 45.12/7.10 thf(zip_derived_cl871, plain,
% 45.12/7.10 (![X0 : $i, X1 : $i]:
% 45.12/7.10 ( (disjoint @ X0 @ X1) | (little_set @ (f23 @ X0 @ X1)))),
% 45.12/7.10 inference('sup-', [status(thm)], [zip_derived_cl95, zip_derived_cl0])).
% 45.12/7.10 thf(zip_derived_cl10168, plain,
% 45.12/7.10 (![X0 : $i, X1 : $i]:
% 45.12/7.10 ( (little_set @ X0)
% 45.12/7.10 | (disjoint @ (singleton_set @ X0) @ X1)
% 45.12/7.10 | (disjoint @ (singleton_set @ X0) @ X1))),
% 45.12/7.10 inference('sup+', [status(thm)], [zip_derived_cl877, zip_derived_cl871])).
% 45.12/7.10 thf(zip_derived_cl10181, plain,
% 45.12/7.10 (![X0 : $i, X1 : $i]:
% 45.12/7.10 ( (disjoint @ (singleton_set @ X0) @ X1) | (little_set @ X0))),
% 45.12/7.10 inference('simplify', [status(thm)], [zip_derived_cl10168])).
% 45.12/7.10 thf(zip_derived_cl45141, plain,
% 45.12/7.10 (( (disjoint @ (singleton_set @ (f1 @ as @ cs)) @ cs)
% 45.12/7.10 | (member @ (f1 @ as @ cs) @ bs))),
% 45.12/7.10 inference('clc', [status(thm)],
% 45.12/7.10 [zip_derived_cl44895, zip_derived_cl10181])).
% 45.12/7.10 thf(zip_derived_cl877, plain,
% 45.12/7.10 (![X0 : $i, X1 : $i]:
% 45.12/7.10 ( (disjoint @ (singleton_set @ X0) @ X1)
% 45.12/7.10 | ((f23 @ (singleton_set @ X0) @ X1) = (X0)))),
% 45.12/7.10 inference('sup-', [status(thm)], [zip_derived_cl95, zip_derived_cl249])).
% 45.12/7.10 thf(zip_derived_cl96, plain,
% 45.12/7.10 (![X0 : $i, X1 : $i]:
% 45.12/7.10 ( (disjoint @ X0 @ X1) | (member @ (f23 @ X0 @ X1) @ X1))),
% 45.12/7.10 inference('cnf', [status(esa)], [disjoint3])).
% 45.12/7.10 thf(zip_derived_cl156, plain,
% 45.12/7.10 (![X0 : $i]: (~ (member @ X0 @ cs) | ~ (member @ X0 @ bs))),
% 45.12/7.10 inference('sup-', [status(thm)], [zip_derived_cl142, zip_derived_cl30])).
% 45.12/7.10 thf(zip_derived_cl976, plain,
% 45.12/7.10 (![X0 : $i]: ( (disjoint @ X0 @ cs) | ~ (member @ (f23 @ X0 @ cs) @ bs))),
% 45.12/7.10 inference('sup-', [status(thm)], [zip_derived_cl96, zip_derived_cl156])).
% 45.12/7.10 thf(zip_derived_cl10173, plain,
% 45.12/7.10 (![X0 : $i]:
% 45.12/7.10 (~ (member @ X0 @ bs)
% 45.12/7.10 | (disjoint @ (singleton_set @ X0) @ cs)
% 45.12/7.10 | (disjoint @ (singleton_set @ X0) @ cs))),
% 45.12/7.10 inference('sup-', [status(thm)], [zip_derived_cl877, zip_derived_cl976])).
% 45.12/7.10 thf(zip_derived_cl10186, plain,
% 45.12/7.10 (![X0 : $i]:
% 45.12/7.10 ( (disjoint @ (singleton_set @ X0) @ cs) | ~ (member @ X0 @ bs))),
% 45.12/7.10 inference('simplify', [status(thm)], [zip_derived_cl10173])).
% 45.12/7.10 thf(zip_derived_cl45142, plain,
% 45.12/7.10 ( (disjoint @ (singleton_set @ (f1 @ as @ cs)) @ cs)),
% 45.12/7.10 inference('clc', [status(thm)],
% 45.12/7.10 [zip_derived_cl45141, zip_derived_cl10186])).
% 45.12/7.10 thf(disjoint1, axiom,
% 45.12/7.10 (( ~( disjoint @ X @ Y ) ) | ( ~( member @ U @ X ) ) |
% 45.12/7.10 ( ~( member @ U @ Y ) ))).
% 45.12/7.10 thf(zip_derived_cl94, plain,
% 45.12/7.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 45.12/7.10 (~ (disjoint @ X0 @ X1) | ~ (member @ X2 @ X0) | ~ (member @ X2 @ X1))),
% 45.12/7.10 inference('cnf', [status(esa)], [disjoint1])).
% 45.12/7.10 thf(zip_derived_cl45143, plain,
% 45.12/7.10 (![X0 : $i]:
% 45.12/7.10 (~ (member @ X0 @ cs)
% 45.12/7.10 | ~ (member @ X0 @ (singleton_set @ (f1 @ as @ cs))))),
% 45.12/7.10 inference('sup-', [status(thm)], [zip_derived_cl45142, zip_derived_cl94])).
% 45.12/7.10 thf(zip_derived_cl45148, plain,
% 45.12/7.10 ((~ (little_set @ (f1 @ as @ cs)) | ~ (member @ (f1 @ as @ cs) @ cs))),
% 45.12/7.10 inference('sup-', [status(thm)],
% 45.12/7.10 [zip_derived_cl3988, zip_derived_cl45143])).
% 45.12/7.10 thf(zip_derived_cl0, plain,
% 45.12/7.10 (![X0 : $i, X1 : $i]: (~ (member @ X0 @ X1) | (little_set @ X0))),
% 45.12/7.10 inference('cnf', [status(esa)], [a2])).
% 45.12/7.10 thf(zip_derived_cl45258, plain, (~ (member @ (f1 @ as @ cs) @ cs)),
% 45.12/7.10 inference('clc', [status(thm)], [zip_derived_cl45148, zip_derived_cl0])).
% 45.12/7.10 thf(zip_derived_cl45261, plain,
% 45.12/7.10 ((~ (little_set @ (f1 @ as @ cs)) | (member @ (f1 @ as @ cs) @ bs))),
% 45.12/7.10 inference('sup-', [status(thm)], [zip_derived_cl789, zip_derived_cl45258])).
% 45.12/7.10 thf(extensionality2, axiom,
% 45.12/7.10 (( member @ ( f1 @ X @ Y ) @ X ) | ( member @ ( f1 @ X @ Y ) @ Y ) |
% 45.12/7.10 ( ( X ) = ( Y ) ))).
% 45.12/7.10 thf(zip_derived_cl2, plain,
% 45.12/7.10 (![X0 : $i, X1 : $i]:
% 45.12/7.10 ( (member @ (f1 @ X0 @ X1) @ X0)
% 45.12/7.10 | (member @ (f1 @ X0 @ X1) @ X1)
% 45.12/7.10 | ((X0) = (X1)))),
% 45.12/7.10 inference('cnf', [status(esa)], [extensionality2])).
% 45.12/7.10 thf(zip_derived_cl45258, plain, (~ (member @ (f1 @ as @ cs) @ cs)),
% 45.12/7.10 inference('clc', [status(thm)], [zip_derived_cl45148, zip_derived_cl0])).
% 45.12/7.10 thf(zip_derived_cl45264, plain,
% 45.12/7.10 ((((as) = (cs)) | (member @ (f1 @ as @ cs) @ as))),
% 45.12/7.10 inference('sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl45258])).
% 45.12/7.10 thf(zip_derived_cl143, plain, (((as) != (cs))),
% 45.12/7.10 inference('cnf', [status(esa)], [zf_stmt_0])).
% 45.12/7.10 thf(zip_derived_cl45266, plain, ( (member @ (f1 @ as @ cs) @ as)),
% 45.12/7.10 inference('simplify_reflect-', [status(thm)],
% 45.12/7.10 [zip_derived_cl45264, zip_derived_cl143])).
% 45.12/7.10 thf(zip_derived_cl0, plain,
% 45.12/7.10 (![X0 : $i, X1 : $i]: (~ (member @ X0 @ X1) | (little_set @ X0))),
% 45.12/7.10 inference('cnf', [status(esa)], [a2])).
% 45.12/7.10 thf(zip_derived_cl45269, plain, ( (little_set @ (f1 @ as @ cs))),
% 45.12/7.10 inference('sup-', [status(thm)], [zip_derived_cl45266, zip_derived_cl0])).
% 45.12/7.10 thf(zip_derived_cl45681, plain, ( (member @ (f1 @ as @ cs) @ bs)),
% 45.12/7.10 inference('demod', [status(thm)],
% 45.12/7.10 [zip_derived_cl45261, zip_derived_cl45269])).
% 45.12/7.10 thf(zip_derived_cl141, plain, (((complement @ as) = (bs))),
% 45.12/7.10 inference('cnf', [status(esa)], [complement_of_a_is_b])).
% 45.12/7.10 thf(zip_derived_cl30, plain,
% 45.12/7.10 (![X0 : $i, X1 : $i]:
% 45.12/7.10 (~ (member @ X0 @ (complement @ X1)) | ~ (member @ X0 @ X1))),
% 45.12/7.10 inference('cnf', [status(esa)], [complement1])).
% 45.12/7.10 thf(zip_derived_cl155, plain,
% 45.12/7.10 (![X0 : $i]: (~ (member @ X0 @ bs) | ~ (member @ X0 @ as))),
% 45.12/7.10 inference('sup-', [status(thm)], [zip_derived_cl141, zip_derived_cl30])).
% 45.12/7.10 thf(zip_derived_cl45702, plain, (~ (member @ (f1 @ as @ cs) @ as)),
% 45.12/7.10 inference('sup-', [status(thm)], [zip_derived_cl45681, zip_derived_cl155])).
% 45.12/7.10 thf(zip_derived_cl45266, plain, ( (member @ (f1 @ as @ cs) @ as)),
% 45.12/7.10 inference('simplify_reflect-', [status(thm)],
% 45.12/7.10 [zip_derived_cl45264, zip_derived_cl143])).
% 45.12/7.10 thf(zip_derived_cl45712, plain, ($false),
% 45.12/7.10 inference('demod', [status(thm)],
% 45.12/7.10 [zip_derived_cl45702, zip_derived_cl45266])).
% 45.12/7.10
% 45.12/7.10 % SZS output end Refutation
% 45.12/7.10
% 45.12/7.10
% 45.12/7.10 % Terminating...
% 45.12/7.20 % Runner terminated.
% 45.12/7.20 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------