TSTP Solution File: SET014-4 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET014-4 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.r21qALxWeD true
% Computer : n028.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 16:11:43 EDT 2023
% Result : Unsatisfiable 111.56s 16.67s
% Output : Refutation 111.56s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SET014-4 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.r21qALxWeD true
% 0.15/0.35 % Computer : n028.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Sat Aug 26 11:27:22 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.15/0.35 % Running portfolio for 300 s
% 0.15/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.35 % Number of cores: 8
% 0.15/0.36 % Python version: Python 3.6.8
% 0.15/0.36 % Running in FO mode
% 0.21/0.66 % Total configuration time : 435
% 0.21/0.66 % Estimated wc time : 1092
% 0.21/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.71 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.76 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.76 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.76 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.76 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.77 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.77 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 111.56/16.67 % Solved by fo/fo3_bce.sh.
% 111.56/16.67 % BCE start: 18
% 111.56/16.67 % BCE eliminated: 0
% 111.56/16.67 % PE start: 18
% 111.56/16.67 logic: eq
% 111.56/16.67 % PE eliminated: -2
% 111.56/16.67 % done 7436 iterations in 15.889s
% 111.56/16.67 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 111.56/16.67 % SZS output start Refutation
% 111.56/16.67 thf(intersection_type, type, intersection: $i > $i > $i).
% 111.56/16.67 thf(subset_type, type, subset: $i > $i > $o).
% 111.56/16.67 thf(as_type, type, as: $i).
% 111.56/16.67 thf(f17_type, type, f17: $i > $i > $i).
% 111.56/16.67 thf(bs_type, type, bs: $i).
% 111.56/16.67 thf(complement_type, type, complement: $i > $i).
% 111.56/16.67 thf(cs_type, type, cs: $i).
% 111.56/16.67 thf(member_type, type, member: $i > $i > $o).
% 111.56/16.67 thf(little_set_type, type, little_set: $i > $o).
% 111.56/16.67 thf(union_type, type, union: $i > $i > $i).
% 111.56/16.67 thf(empty_set_type, type, empty_set: $i).
% 111.56/16.67 thf(universal_set_type, type, universal_set: $i).
% 111.56/16.67 thf(f1_type, type, f1: $i > $i > $i).
% 111.56/16.67 thf(a_subset_of_c, axiom, (subset @ as @ cs)).
% 111.56/16.67 thf(zip_derived_cl15, plain, ( (subset @ as @ cs)),
% 111.56/16.67 inference('cnf', [status(esa)], [a_subset_of_c])).
% 111.56/16.67 thf(subset1, axiom,
% 111.56/16.67 (( ~( subset @ X @ Y ) ) | ( ~( member @ U @ X ) ) | ( member @ U @ Y ))).
% 111.56/16.67 thf(zip_derived_cl12, plain,
% 111.56/16.67 (![X0 : $i, X1 : $i, X2 : $i]:
% 111.56/16.67 (~ (subset @ X0 @ X1) | ~ (member @ X2 @ X0) | (member @ X2 @ X1))),
% 111.56/16.67 inference('cnf', [status(esa)], [subset1])).
% 111.56/16.67 thf(zip_derived_cl90, plain,
% 111.56/16.67 (![X0 : $i]: ( (member @ X0 @ cs) | ~ (member @ X0 @ as))),
% 111.56/16.67 inference('dp-resolution', [status(thm)],
% 111.56/16.67 [zip_derived_cl15, zip_derived_cl12])).
% 111.56/16.67 thf(subset3, axiom,
% 111.56/16.67 (( subset @ X @ Y ) | ( ~( member @ ( f17 @ X @ Y ) @ Y ) ))).
% 111.56/16.67 thf(zip_derived_cl14, plain,
% 111.56/16.67 (![X0 : $i, X1 : $i]:
% 111.56/16.67 ( (subset @ X0 @ X1) | ~ (member @ (f17 @ X0 @ X1) @ X1))),
% 111.56/16.67 inference('cnf', [status(esa)], [subset3])).
% 111.56/16.67 thf(prove_a_union_b_subset_of_c, conjecture,
% 111.56/16.67 (subset @ ( union @ as @ bs ) @ cs)).
% 111.56/16.67 thf(zf_stmt_0, negated_conjecture, (~( subset @ ( union @ as @ bs ) @ cs )),
% 111.56/16.67 inference('cnf.neg', [status(esa)], [prove_a_union_b_subset_of_c])).
% 111.56/16.67 thf(zip_derived_cl17, plain, (~ (subset @ (union @ as @ bs) @ cs)),
% 111.56/16.67 inference('cnf', [status(esa)], [zf_stmt_0])).
% 111.56/16.67 thf(zip_derived_cl89, plain,
% 111.56/16.67 (~ (member @ (f17 @ (union @ as @ bs) @ cs) @ cs)),
% 111.56/16.67 inference('dp-resolution', [status(thm)],
% 111.56/16.67 [zip_derived_cl14, zip_derived_cl17])).
% 111.56/16.67 thf(zip_derived_cl106, plain,
% 111.56/16.67 (~ (member @ (f17 @ (union @ as @ bs) @ cs) @ as)),
% 111.56/16.67 inference('sup-', [status(thm)], [zip_derived_cl90, zip_derived_cl89])).
% 111.56/16.67 thf(union, axiom,
% 111.56/16.67 (( union @ X @ Y ) =
% 111.56/16.67 ( complement @ ( intersection @ ( complement @ X ) @ ( complement @ Y ) ) ))).
% 111.56/16.67 thf(zip_derived_cl9, plain,
% 111.56/16.67 (![X0 : $i, X1 : $i]:
% 111.56/16.67 ((union @ X0 @ X1)
% 111.56/16.67 = (complement @
% 111.56/16.67 (intersection @ (complement @ X0) @ (complement @ X1))))),
% 111.56/16.67 inference('cnf', [status(esa)], [union])).
% 111.56/16.67 thf(zip_derived_cl126, plain,
% 111.56/16.67 (~ (member @
% 111.56/16.67 (f17 @
% 111.56/16.67 (complement @ (intersection @ (complement @ as) @ (complement @ bs))) @
% 111.56/16.67 cs) @
% 111.56/16.67 as)),
% 111.56/16.67 inference('demod', [status(thm)], [zip_derived_cl106, zip_derived_cl9])).
% 111.56/16.67 thf(subset2, axiom, (( subset @ X @ Y ) | ( member @ ( f17 @ X @ Y ) @ X ))).
% 111.56/16.67 thf(zip_derived_cl13, plain,
% 111.56/16.68 (![X0 : $i, X1 : $i]:
% 111.56/16.68 ( (subset @ X0 @ X1) | (member @ (f17 @ X0 @ X1) @ X0))),
% 111.56/16.68 inference('cnf', [status(esa)], [subset2])).
% 111.56/16.68 thf(zip_derived_cl17, plain, (~ (subset @ (union @ as @ bs) @ cs)),
% 111.56/16.68 inference('cnf', [status(esa)], [zf_stmt_0])).
% 111.56/16.68 thf(zip_derived_cl87, plain,
% 111.56/16.68 ( (member @ (f17 @ (union @ as @ bs) @ cs) @ (union @ as @ bs))),
% 111.56/16.68 inference('dp-resolution', [status(thm)],
% 111.56/16.68 [zip_derived_cl13, zip_derived_cl17])).
% 111.56/16.68 thf(a2, axiom, (( ~( member @ X @ Y ) ) | ( little_set @ X ))).
% 111.56/16.68 thf(zip_derived_cl0, plain,
% 111.56/16.68 (![X0 : $i, X1 : $i]: (~ (member @ X0 @ X1) | (little_set @ X0))),
% 111.56/16.68 inference('cnf', [status(esa)], [a2])).
% 111.56/16.68 thf(universal_set, axiom,
% 111.56/16.68 (( member @ Z @ universal_set ) | ( ~( little_set @ Z ) ))).
% 111.56/16.68 thf(zip_derived_cl11, plain,
% 111.56/16.68 (![X0 : $i]: ( (member @ X0 @ universal_set) | ~ (little_set @ X0))),
% 111.56/16.68 inference('cnf', [status(esa)], [universal_set])).
% 111.56/16.68 thf(zip_derived_cl83, plain,
% 111.56/16.68 (![X0 : $i, X1 : $i]:
% 111.56/16.68 (~ (member @ X1 @ X0) | (member @ X1 @ universal_set))),
% 111.56/16.68 inference('dp-resolution', [status(thm)],
% 111.56/16.68 [zip_derived_cl0, zip_derived_cl11])).
% 111.56/16.68 thf(zip_derived_cl115, plain,
% 111.56/16.68 ( (member @ (f17 @ (union @ as @ bs) @ cs) @ universal_set)),
% 111.56/16.68 inference('sup-', [status(thm)], [zip_derived_cl87, zip_derived_cl83])).
% 111.56/16.68 thf(zip_derived_cl9, plain,
% 111.56/16.68 (![X0 : $i, X1 : $i]:
% 111.56/16.68 ((union @ X0 @ X1)
% 111.56/16.68 = (complement @
% 111.56/16.68 (intersection @ (complement @ X0) @ (complement @ X1))))),
% 111.56/16.68 inference('cnf', [status(esa)], [union])).
% 111.56/16.68 thf(zip_derived_cl127, plain,
% 111.56/16.68 ( (member @
% 111.56/16.68 (f17 @
% 111.56/16.68 (complement @ (intersection @ (complement @ as) @ (complement @ bs))) @
% 111.56/16.68 cs) @
% 111.56/16.68 universal_set)),
% 111.56/16.68 inference('demod', [status(thm)], [zip_derived_cl115, zip_derived_cl9])).
% 111.56/16.68 thf(zip_derived_cl0, plain,
% 111.56/16.68 (![X0 : $i, X1 : $i]: (~ (member @ X0 @ X1) | (little_set @ X0))),
% 111.56/16.68 inference('cnf', [status(esa)], [a2])).
% 111.56/16.68 thf(complement2, axiom,
% 111.56/16.68 (( member @ Z @ ( complement @ X ) ) | ( ~( little_set @ Z ) ) |
% 111.56/16.68 ( member @ Z @ X ))).
% 111.56/16.68 thf(zip_derived_cl8, plain,
% 111.56/16.68 (![X0 : $i, X1 : $i]:
% 111.56/16.68 ( (member @ X0 @ (complement @ X1))
% 111.56/16.68 | ~ (little_set @ X0)
% 111.56/16.68 | (member @ X0 @ X1))),
% 111.56/16.68 inference('cnf', [status(esa)], [complement2])).
% 111.56/16.68 thf(zip_derived_cl82, plain,
% 111.56/16.68 (![X0 : $i, X1 : $i, X2 : $i]:
% 111.56/16.68 (~ (member @ X1 @ X0)
% 111.56/16.68 | (member @ X1 @ X2)
% 111.56/16.68 | (member @ X1 @ (complement @ X2)))),
% 111.56/16.68 inference('dp-resolution', [status(thm)],
% 111.56/16.68 [zip_derived_cl0, zip_derived_cl8])).
% 111.56/16.68 thf(zip_derived_cl193, plain,
% 111.56/16.68 (![X0 : $i]:
% 111.56/16.68 ( (member @
% 111.56/16.68 (f17 @
% 111.56/16.68 (complement @
% 111.56/16.68 (intersection @ (complement @ as) @ (complement @ bs))) @
% 111.56/16.68 cs) @
% 111.56/16.68 (complement @ X0))
% 111.56/16.68 | (member @
% 111.56/16.68 (f17 @
% 111.56/16.68 (complement @
% 111.56/16.68 (intersection @ (complement @ as) @ (complement @ bs))) @
% 111.56/16.68 cs) @
% 111.56/16.68 X0))),
% 111.56/16.68 inference('sup-', [status(thm)], [zip_derived_cl127, zip_derived_cl82])).
% 111.56/16.68 thf(zip_derived_cl87, plain,
% 111.56/16.68 ( (member @ (f17 @ (union @ as @ bs) @ cs) @ (union @ as @ bs))),
% 111.56/16.68 inference('dp-resolution', [status(thm)],
% 111.56/16.68 [zip_derived_cl13, zip_derived_cl17])).
% 111.56/16.68 thf(zip_derived_cl9, plain,
% 111.56/16.68 (![X0 : $i, X1 : $i]:
% 111.56/16.68 ((union @ X0 @ X1)
% 111.56/16.68 = (complement @
% 111.56/16.68 (intersection @ (complement @ X0) @ (complement @ X1))))),
% 111.56/16.68 inference('cnf', [status(esa)], [union])).
% 111.56/16.68 thf(zip_derived_cl9, plain,
% 111.56/16.68 (![X0 : $i, X1 : $i]:
% 111.56/16.68 ((union @ X0 @ X1)
% 111.56/16.68 = (complement @
% 111.56/16.68 (intersection @ (complement @ X0) @ (complement @ X1))))),
% 111.56/16.68 inference('cnf', [status(esa)], [union])).
% 111.56/16.68 thf(zip_derived_cl122, plain,
% 111.56/16.68 ( (member @
% 111.56/16.68 (f17 @
% 111.56/16.68 (complement @ (intersection @ (complement @ as) @ (complement @ bs))) @
% 111.56/16.68 cs) @
% 111.56/16.68 (complement @ (intersection @ (complement @ as) @ (complement @ bs))))),
% 111.56/16.68 inference('demod', [status(thm)],
% 111.56/16.68 [zip_derived_cl87, zip_derived_cl9, zip_derived_cl9])).
% 111.56/16.68 thf(complement1, axiom,
% 111.56/16.68 (( ~( member @ Z @ ( complement @ X ) ) ) | ( ~( member @ Z @ X ) ))).
% 111.56/16.68 thf(zip_derived_cl7, plain,
% 111.56/16.68 (![X0 : $i, X1 : $i]:
% 111.56/16.68 (~ (member @ X0 @ (complement @ X1)) | ~ (member @ X0 @ X1))),
% 111.56/16.68 inference('cnf', [status(esa)], [complement1])).
% 111.56/16.68 thf(zip_derived_cl614, plain,
% 111.56/16.68 (~ (member @
% 111.56/16.68 (f17 @
% 111.56/16.68 (complement @ (intersection @ (complement @ as) @ (complement @ bs))) @
% 111.56/16.68 cs) @
% 111.56/16.68 (intersection @ (complement @ as) @ (complement @ bs)))),
% 111.56/16.68 inference('sup-', [status(thm)], [zip_derived_cl122, zip_derived_cl7])).
% 111.56/16.68 thf(intersection3, axiom,
% 111.56/16.68 (( member @ Z @ ( intersection @ X @ Y ) ) | ( ~( member @ Z @ X ) ) |
% 111.56/16.68 ( ~( member @ Z @ Y ) ))).
% 111.56/16.68 thf(zip_derived_cl6, plain,
% 111.56/16.68 (![X0 : $i, X1 : $i, X2 : $i]:
% 111.56/16.68 ( (member @ X0 @ (intersection @ X1 @ X2))
% 111.56/16.68 | ~ (member @ X0 @ X1)
% 111.56/16.68 | ~ (member @ X0 @ X2))),
% 111.56/16.68 inference('cnf', [status(esa)], [intersection3])).
% 111.56/16.68 thf(zip_derived_cl617, plain,
% 111.56/16.68 ((~ (member @
% 111.56/16.68 (f17 @
% 111.56/16.68 (complement @
% 111.56/16.68 (intersection @ (complement @ as) @ (complement @ bs))) @
% 111.56/16.68 cs) @
% 111.56/16.68 (complement @ bs))
% 111.56/16.68 | ~ (member @
% 111.56/16.68 (f17 @
% 111.56/16.68 (complement @
% 111.56/16.68 (intersection @ (complement @ as) @ (complement @ bs))) @
% 111.56/16.68 cs) @
% 111.56/16.68 (complement @ as)))),
% 111.56/16.68 inference('sup+', [status(thm)], [zip_derived_cl614, zip_derived_cl6])).
% 111.56/16.68 thf(zip_derived_cl1898, plain,
% 111.56/16.68 (( (member @
% 111.56/16.68 (f17 @
% 111.56/16.68 (complement @ (intersection @ (complement @ as) @ (complement @ bs))) @
% 111.56/16.68 cs) @
% 111.56/16.68 bs)
% 111.56/16.68 | ~ (member @
% 111.56/16.68 (f17 @
% 111.56/16.68 (complement @
% 111.56/16.68 (intersection @ (complement @ as) @ (complement @ bs))) @
% 111.56/16.68 cs) @
% 111.56/16.68 (complement @ as)))),
% 111.56/16.68 inference('sup-', [status(thm)], [zip_derived_cl193, zip_derived_cl617])).
% 111.56/16.68 thf(zip_derived_cl193, plain,
% 111.56/16.68 (![X0 : $i]:
% 111.56/16.68 ( (member @
% 111.56/16.68 (f17 @
% 111.56/16.68 (complement @
% 111.56/16.68 (intersection @ (complement @ as) @ (complement @ bs))) @
% 111.56/16.68 cs) @
% 111.56/16.68 (complement @ X0))
% 111.56/16.68 | (member @
% 111.56/16.68 (f17 @
% 111.56/16.68 (complement @
% 111.56/16.68 (intersection @ (complement @ as) @ (complement @ bs))) @
% 111.56/16.68 cs) @
% 111.56/16.68 X0))),
% 111.56/16.68 inference('sup-', [status(thm)], [zip_derived_cl127, zip_derived_cl82])).
% 111.56/16.68 thf(extensionality2, axiom,
% 111.56/16.68 (( member @ ( f1 @ X @ Y ) @ X ) | ( member @ ( f1 @ X @ Y ) @ Y ) |
% 111.56/16.68 ( ( X ) = ( Y ) ))).
% 111.56/16.68 thf(zip_derived_cl2, plain,
% 111.56/16.68 (![X0 : $i, X1 : $i]:
% 111.56/16.68 ( (member @ (f1 @ X0 @ X1) @ X0)
% 111.56/16.68 | (member @ (f1 @ X0 @ X1) @ X1)
% 111.56/16.68 | ((X0) = (X1)))),
% 111.56/16.68 inference('cnf', [status(esa)], [extensionality2])).
% 111.56/16.68 thf(empty_set, axiom, (~( member @ Z @ empty_set ))).
% 111.56/16.68 thf(zip_derived_cl10, plain, (![X0 : $i]: ~ (member @ X0 @ empty_set)),
% 111.56/16.68 inference('cnf', [status(esa)], [empty_set])).
% 111.56/16.68 thf(zip_derived_cl100, plain,
% 111.56/16.68 (![X0 : $i]:
% 111.56/16.68 (((empty_set) = (X0)) | (member @ (f1 @ empty_set @ X0) @ X0))),
% 111.56/16.68 inference('sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl10])).
% 111.56/16.68 thf(intersection2, axiom,
% 111.56/16.68 (( ~( member @ Z @ ( intersection @ X @ Y ) ) ) | ( member @ Z @ Y ))).
% 111.56/16.68 thf(zip_derived_cl5, plain,
% 111.56/16.68 (![X0 : $i, X1 : $i, X2 : $i]:
% 111.56/16.68 (~ (member @ X0 @ (intersection @ X1 @ X2)) | (member @ X0 @ X2))),
% 111.56/16.68 inference('cnf', [status(esa)], [intersection2])).
% 111.56/16.68 thf(zip_derived_cl171, plain,
% 111.56/16.68 (![X0 : $i, X1 : $i]:
% 111.56/16.68 (((empty_set) = (intersection @ X1 @ X0))
% 111.56/16.68 | (member @ (f1 @ empty_set @ (intersection @ X1 @ X0)) @ X0))),
% 111.56/16.68 inference('sup-', [status(thm)], [zip_derived_cl100, zip_derived_cl5])).
% 111.56/16.68 thf(b_subset_of_c, axiom, (subset @ bs @ cs)).
% 111.56/16.68 thf(zip_derived_cl16, plain, ( (subset @ bs @ cs)),
% 111.56/16.68 inference('cnf', [status(esa)], [b_subset_of_c])).
% 111.56/16.68 thf(zip_derived_cl12, plain,
% 111.56/16.68 (![X0 : $i, X1 : $i, X2 : $i]:
% 111.56/16.68 (~ (subset @ X0 @ X1) | ~ (member @ X2 @ X0) | (member @ X2 @ X1))),
% 111.56/16.68 inference('cnf', [status(esa)], [subset1])).
% 111.56/16.68 thf(zip_derived_cl94, plain,
% 111.56/16.68 (![X0 : $i]: ( (member @ X0 @ cs) | ~ (member @ X0 @ bs))),
% 111.56/16.68 inference('dp-resolution', [status(thm)],
% 111.56/16.68 [zip_derived_cl16, zip_derived_cl12])).
% 111.56/16.68 thf(zip_derived_cl1291, plain,
% 111.56/16.68 (![X0 : $i]:
% 111.56/16.68 (((empty_set) = (intersection @ X0 @ bs))
% 111.56/16.68 | (member @ (f1 @ empty_set @ (intersection @ X0 @ bs)) @ cs))),
% 111.56/16.68 inference('sup-', [status(thm)], [zip_derived_cl171, zip_derived_cl94])).
% 111.56/16.68 thf(zip_derived_cl100, plain,
% 111.56/16.68 (![X0 : $i]:
% 111.56/16.68 (((empty_set) = (X0)) | (member @ (f1 @ empty_set @ X0) @ X0))),
% 111.56/16.68 inference('sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl10])).
% 111.56/16.68 thf(intersection1, axiom,
% 111.56/16.68 (( ~( member @ Z @ ( intersection @ X @ Y ) ) ) | ( member @ Z @ X ))).
% 111.56/16.68 thf(zip_derived_cl4, plain,
% 111.56/16.68 (![X0 : $i, X1 : $i, X2 : $i]:
% 111.56/16.68 (~ (member @ X0 @ (intersection @ X1 @ X2)) | (member @ X0 @ X1))),
% 111.56/16.68 inference('cnf', [status(esa)], [intersection1])).
% 111.56/16.68 thf(zip_derived_cl170, plain,
% 111.56/16.68 (![X0 : $i, X1 : $i]:
% 111.56/16.68 (((empty_set) = (intersection @ X1 @ X0))
% 111.56/16.68 | (member @ (f1 @ empty_set @ (intersection @ X1 @ X0)) @ X1))),
% 111.56/16.68 inference('sup-', [status(thm)], [zip_derived_cl100, zip_derived_cl4])).
% 111.56/16.68 thf(zip_derived_cl7, plain,
% 111.56/16.68 (![X0 : $i, X1 : $i]:
% 111.56/16.68 (~ (member @ X0 @ (complement @ X1)) | ~ (member @ X0 @ X1))),
% 111.56/16.68 inference('cnf', [status(esa)], [complement1])).
% 111.56/16.68 thf(zip_derived_cl1232, plain,
% 111.56/16.68 (![X0 : $i, X1 : $i]:
% 111.56/16.68 (((empty_set) = (intersection @ (complement @ X0) @ X1))
% 111.56/16.68 | ~ (member @
% 111.56/16.68 (f1 @ empty_set @ (intersection @ (complement @ X0) @ X1)) @ X0))),
% 111.56/16.68 inference('sup-', [status(thm)], [zip_derived_cl170, zip_derived_cl7])).
% 111.56/16.68 thf(zip_derived_cl1870, plain,
% 111.56/16.68 ((((empty_set) = (intersection @ (complement @ cs) @ bs))
% 111.56/16.68 | ((empty_set) = (intersection @ (complement @ cs) @ bs)))),
% 111.56/16.68 inference('sup-', [status(thm)], [zip_derived_cl1291, zip_derived_cl1232])).
% 111.56/16.68 thf(zip_derived_cl1881, plain,
% 111.56/16.68 (((empty_set) = (intersection @ (complement @ cs) @ bs))),
% 111.56/16.68 inference('simplify', [status(thm)], [zip_derived_cl1870])).
% 111.56/16.68 thf(zip_derived_cl6, plain,
% 111.56/16.68 (![X0 : $i, X1 : $i, X2 : $i]:
% 111.56/16.68 ( (member @ X0 @ (intersection @ X1 @ X2))
% 111.56/16.68 | ~ (member @ X0 @ X1)
% 111.56/16.68 | ~ (member @ X0 @ X2))),
% 111.56/16.68 inference('cnf', [status(esa)], [intersection3])).
% 111.56/16.68 thf(zip_derived_cl1908, plain,
% 111.56/16.68 (![X0 : $i]:
% 111.56/16.68 ( (member @ X0 @ empty_set)
% 111.56/16.68 | ~ (member @ X0 @ bs)
% 111.56/16.68 | ~ (member @ X0 @ (complement @ cs)))),
% 111.56/16.68 inference('sup+', [status(thm)], [zip_derived_cl1881, zip_derived_cl6])).
% 111.56/16.68 thf(zip_derived_cl10, plain, (![X0 : $i]: ~ (member @ X0 @ empty_set)),
% 111.56/16.68 inference('cnf', [status(esa)], [empty_set])).
% 111.56/16.68 thf(zip_derived_cl1926, plain,
% 111.56/16.68 (![X0 : $i]: (~ (member @ X0 @ bs) | ~ (member @ X0 @ (complement @ cs)))),
% 111.56/16.68 inference('demod', [status(thm)], [zip_derived_cl1908, zip_derived_cl10])).
% 111.56/16.68 thf(zip_derived_cl2102, plain,
% 111.56/16.68 (( (member @
% 111.56/16.68 (f17 @
% 111.56/16.68 (complement @ (intersection @ (complement @ as) @ (complement @ bs))) @
% 111.56/16.68 cs) @
% 111.56/16.68 cs)
% 111.56/16.68 | ~ (member @
% 111.56/16.68 (f17 @
% 111.56/16.68 (complement @
% 111.56/16.68 (intersection @ (complement @ as) @ (complement @ bs))) @
% 111.56/16.68 cs) @
% 111.56/16.68 bs))),
% 111.56/16.68 inference('sup-', [status(thm)], [zip_derived_cl193, zip_derived_cl1926])).
% 111.56/16.68 thf(zip_derived_cl89, plain,
% 111.56/16.68 (~ (member @ (f17 @ (union @ as @ bs) @ cs) @ cs)),
% 111.56/16.68 inference('dp-resolution', [status(thm)],
% 111.56/16.68 [zip_derived_cl14, zip_derived_cl17])).
% 111.56/16.68 thf(zip_derived_cl9, plain,
% 111.56/16.68 (![X0 : $i, X1 : $i]:
% 111.56/16.68 ((union @ X0 @ X1)
% 111.56/16.68 = (complement @
% 111.56/16.68 (intersection @ (complement @ X0) @ (complement @ X1))))),
% 111.56/16.68 inference('cnf', [status(esa)], [union])).
% 111.56/16.68 thf(zip_derived_cl123, plain,
% 111.56/16.68 (~ (member @
% 111.56/16.68 (f17 @
% 111.56/16.68 (complement @ (intersection @ (complement @ as) @ (complement @ bs))) @
% 111.56/16.68 cs) @
% 111.56/16.68 cs)),
% 111.56/16.68 inference('demod', [status(thm)], [zip_derived_cl89, zip_derived_cl9])).
% 111.56/16.68 thf(zip_derived_cl2108, plain,
% 111.56/16.68 (~ (member @
% 111.56/16.68 (f17 @
% 111.56/16.68 (complement @ (intersection @ (complement @ as) @ (complement @ bs))) @
% 111.56/16.68 cs) @
% 111.56/16.68 bs)),
% 111.56/16.68 inference('demod', [status(thm)], [zip_derived_cl2102, zip_derived_cl123])).
% 111.56/16.68 thf(zip_derived_cl95678, plain,
% 111.56/16.68 (~ (member @
% 111.56/16.68 (f17 @
% 111.56/16.68 (complement @ (intersection @ (complement @ as) @ (complement @ bs))) @
% 111.56/16.68 cs) @
% 111.56/16.68 (complement @ as))),
% 111.56/16.68 inference('demod', [status(thm)],
% 111.56/16.68 [zip_derived_cl1898, zip_derived_cl2108])).
% 111.56/16.68 thf(zip_derived_cl193, plain,
% 111.56/16.68 (![X0 : $i]:
% 111.56/16.68 ( (member @
% 111.56/16.68 (f17 @
% 111.56/16.68 (complement @
% 111.56/16.68 (intersection @ (complement @ as) @ (complement @ bs))) @
% 111.56/16.68 cs) @
% 111.56/16.68 (complement @ X0))
% 111.56/16.68 | (member @
% 111.56/16.68 (f17 @
% 111.56/16.68 (complement @
% 111.56/16.68 (intersection @ (complement @ as) @ (complement @ bs))) @
% 111.56/16.68 cs) @
% 111.56/16.68 X0))),
% 111.56/16.68 inference('sup-', [status(thm)], [zip_derived_cl127, zip_derived_cl82])).
% 111.56/16.68 thf(zip_derived_cl95696, plain,
% 111.56/16.68 ( (member @
% 111.56/16.68 (f17 @
% 111.56/16.68 (complement @ (intersection @ (complement @ as) @ (complement @ bs))) @
% 111.56/16.68 cs) @
% 111.56/16.68 as)),
% 111.56/16.68 inference('sup+', [status(thm)], [zip_derived_cl95678, zip_derived_cl193])).
% 111.56/16.68 thf(zip_derived_cl156233, plain, ($false),
% 111.56/16.68 inference('demod', [status(thm)],
% 111.56/16.68 [zip_derived_cl126, zip_derived_cl95696])).
% 111.56/16.68
% 111.56/16.68 % SZS output end Refutation
% 111.56/16.68
% 111.56/16.68
% 111.56/16.68 % Terminating...
% 111.56/16.76 % Runner terminated.
% 111.56/16.78 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------