TSTP Solution File: SET015-4 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET015-4 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.elY8syxZwo true
% Computer : n029.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 16:11:44 EDT 2023
% Result : Unsatisfiable 17.02s 3.08s
% Output : Refutation 17.02s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET015-4 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.elY8syxZwo true
% 0.14/0.35 % Computer : n029.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 14:33:55 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.36 % Running in FO mode
% 0.22/0.65 % Total configuration time : 435
% 0.22/0.65 % Estimated wc time : 1092
% 0.22/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.01/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 17.02/3.08 % Solved by fo/fo3_bce.sh.
% 17.02/3.08 % BCE start: 15
% 17.02/3.08 % BCE eliminated: 0
% 17.02/3.08 % PE start: 15
% 17.02/3.08 logic: eq
% 17.02/3.08 % PE eliminated: 0
% 17.02/3.08 % done 2820 iterations in 2.296s
% 17.02/3.08 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 17.02/3.08 % SZS output start Refutation
% 17.02/3.08 thf(intersection_type, type, intersection: $i > $i > $i).
% 17.02/3.08 thf(cs_type, type, cs: $i).
% 17.02/3.08 thf(bs_type, type, bs: $i).
% 17.02/3.08 thf(ds_type, type, ds: $i).
% 17.02/3.08 thf(complement_type, type, complement: $i > $i).
% 17.02/3.08 thf(as_type, type, as: $i).
% 17.02/3.08 thf(member_type, type, member: $i > $i > $o).
% 17.02/3.08 thf(little_set_type, type, little_set: $i > $o).
% 17.02/3.08 thf(union_type, type, union: $i > $i > $i).
% 17.02/3.08 thf(f1_type, type, f1: $i > $i > $i).
% 17.02/3.08 thf(a_union_b_is_c, axiom, (( union @ as @ bs ) = ( cs ))).
% 17.02/3.08 thf(zip_derived_cl12, plain, (((union @ as @ bs) = (cs))),
% 17.02/3.08 inference('cnf', [status(esa)], [a_union_b_is_c])).
% 17.02/3.08 thf(union, axiom,
% 17.02/3.08 (( union @ X @ Y ) =
% 17.02/3.08 ( complement @ ( intersection @ ( complement @ X ) @ ( complement @ Y ) ) ))).
% 17.02/3.08 thf(zip_derived_cl9, plain,
% 17.02/3.08 (![X0 : $i, X1 : $i]:
% 17.02/3.08 ((union @ X0 @ X1)
% 17.02/3.08 = (complement @
% 17.02/3.08 (intersection @ (complement @ X0) @ (complement @ X1))))),
% 17.02/3.08 inference('cnf', [status(esa)], [union])).
% 17.02/3.08 thf(zip_derived_cl139, plain,
% 17.02/3.08 (((cs)
% 17.02/3.08 = (complement @ (intersection @ (complement @ as) @ (complement @ bs))))),
% 17.02/3.08 inference('sup+', [status(thm)], [zip_derived_cl12, zip_derived_cl9])).
% 17.02/3.08 thf(complement1, axiom,
% 17.02/3.08 (( ~( member @ Z @ ( complement @ X ) ) ) | ( ~( member @ Z @ X ) ))).
% 17.02/3.08 thf(zip_derived_cl7, plain,
% 17.02/3.08 (![X0 : $i, X1 : $i]:
% 17.02/3.08 (~ (member @ X0 @ (complement @ X1)) | ~ (member @ X0 @ X1))),
% 17.02/3.08 inference('cnf', [status(esa)], [complement1])).
% 17.02/3.08 thf(zip_derived_cl158, plain,
% 17.02/3.08 (![X0 : $i]:
% 17.02/3.08 (~ (member @ X0 @ cs)
% 17.02/3.08 | ~ (member @ X0 @
% 17.02/3.08 (intersection @ (complement @ as) @ (complement @ bs))))),
% 17.02/3.08 inference('sup-', [status(thm)], [zip_derived_cl139, zip_derived_cl7])).
% 17.02/3.08 thf(intersection3, axiom,
% 17.02/3.08 (( member @ Z @ ( intersection @ X @ Y ) ) | ( ~( member @ Z @ X ) ) |
% 17.02/3.08 ( ~( member @ Z @ Y ) ))).
% 17.02/3.08 thf(zip_derived_cl6, plain,
% 17.02/3.08 (![X0 : $i, X1 : $i, X2 : $i]:
% 17.02/3.08 ( (member @ X0 @ (intersection @ X1 @ X2))
% 17.02/3.08 | ~ (member @ X0 @ X1)
% 17.02/3.08 | ~ (member @ X0 @ X2))),
% 17.02/3.08 inference('cnf', [status(esa)], [intersection3])).
% 17.02/3.08 thf(zip_derived_cl166, plain,
% 17.02/3.08 (![X0 : $i]:
% 17.02/3.08 (~ (member @ X0 @ cs)
% 17.02/3.08 | ~ (member @ X0 @ (complement @ bs))
% 17.02/3.08 | ~ (member @ X0 @ (complement @ as)))),
% 17.02/3.08 inference('sup+', [status(thm)], [zip_derived_cl158, zip_derived_cl6])).
% 17.02/3.08 thf(extensionality2, axiom,
% 17.02/3.08 (( member @ ( f1 @ X @ Y ) @ X ) | ( member @ ( f1 @ X @ Y ) @ Y ) |
% 17.02/3.08 ( ( X ) = ( Y ) ))).
% 17.02/3.08 thf(zip_derived_cl2, plain,
% 17.02/3.08 (![X0 : $i, X1 : $i]:
% 17.02/3.08 ( (member @ (f1 @ X0 @ X1) @ X0)
% 17.02/3.08 | (member @ (f1 @ X0 @ X1) @ X1)
% 17.02/3.08 | ((X0) = (X1)))),
% 17.02/3.08 inference('cnf', [status(esa)], [extensionality2])).
% 17.02/3.08 thf(zip_derived_cl139, plain,
% 17.02/3.08 (((cs)
% 17.02/3.08 = (complement @ (intersection @ (complement @ as) @ (complement @ bs))))),
% 17.02/3.08 inference('sup+', [status(thm)], [zip_derived_cl12, zip_derived_cl9])).
% 17.02/3.08 thf(b_union_a_is_d, axiom, (( union @ bs @ as ) = ( ds ))).
% 17.02/3.08 thf(zip_derived_cl13, plain, (((union @ bs @ as) = (ds))),
% 17.02/3.08 inference('cnf', [status(esa)], [b_union_a_is_d])).
% 17.02/3.08 thf(zip_derived_cl9, plain,
% 17.02/3.08 (![X0 : $i, X1 : $i]:
% 17.02/3.08 ((union @ X0 @ X1)
% 17.02/3.08 = (complement @
% 17.02/3.08 (intersection @ (complement @ X0) @ (complement @ X1))))),
% 17.02/3.08 inference('cnf', [status(esa)], [union])).
% 17.02/3.08 thf(zip_derived_cl140, plain,
% 17.02/3.08 (((ds)
% 17.02/3.08 = (complement @ (intersection @ (complement @ bs) @ (complement @ as))))),
% 17.02/3.08 inference('sup+', [status(thm)], [zip_derived_cl13, zip_derived_cl9])).
% 17.02/3.08 thf(zip_derived_cl7, plain,
% 17.02/3.08 (![X0 : $i, X1 : $i]:
% 17.02/3.08 (~ (member @ X0 @ (complement @ X1)) | ~ (member @ X0 @ X1))),
% 17.02/3.08 inference('cnf', [status(esa)], [complement1])).
% 17.02/3.08 thf(zip_derived_cl162, plain,
% 17.02/3.08 (![X0 : $i]:
% 17.02/3.08 (~ (member @ X0 @ ds)
% 17.02/3.08 | ~ (member @ X0 @
% 17.02/3.08 (intersection @ (complement @ bs) @ (complement @ as))))),
% 17.02/3.08 inference('sup-', [status(thm)], [zip_derived_cl140, zip_derived_cl7])).
% 17.02/3.08 thf(extensionality1, axiom,
% 17.02/3.08 (( little_set @ ( f1 @ X @ Y ) ) | ( ( X ) = ( Y ) ))).
% 17.02/3.08 thf(zip_derived_cl1, plain,
% 17.02/3.08 (![X0 : $i, X1 : $i]: ( (little_set @ (f1 @ X0 @ X1)) | ((X0) = (X1)))),
% 17.02/3.08 inference('cnf', [status(esa)], [extensionality1])).
% 17.02/3.08 thf(complement2, axiom,
% 17.02/3.08 (( member @ Z @ ( complement @ X ) ) | ( ~( little_set @ Z ) ) |
% 17.02/3.08 ( member @ Z @ X ))).
% 17.02/3.08 thf(zip_derived_cl8, plain,
% 17.02/3.08 (![X0 : $i, X1 : $i]:
% 17.02/3.08 ( (member @ X0 @ (complement @ X1))
% 17.02/3.08 | ~ (little_set @ X0)
% 17.02/3.08 | (member @ X0 @ X1))),
% 17.02/3.08 inference('cnf', [status(esa)], [complement2])).
% 17.02/3.08 thf(zip_derived_cl61, plain,
% 17.02/3.08 (![X0 : $i, X1 : $i, X2 : $i]:
% 17.02/3.08 (((X1) = (X0))
% 17.02/3.08 | (member @ (f1 @ X1 @ X0) @ X2)
% 17.02/3.08 | (member @ (f1 @ X1 @ X0) @ (complement @ X2)))),
% 17.02/3.08 inference('dp-resolution', [status(thm)],
% 17.02/3.08 [zip_derived_cl1, zip_derived_cl8])).
% 17.02/3.08 thf(zip_derived_cl61, plain,
% 17.02/3.08 (![X0 : $i, X1 : $i, X2 : $i]:
% 17.02/3.08 (((X1) = (X0))
% 17.02/3.08 | (member @ (f1 @ X1 @ X0) @ X2)
% 17.02/3.08 | (member @ (f1 @ X1 @ X0) @ (complement @ X2)))),
% 17.02/3.08 inference('dp-resolution', [status(thm)],
% 17.02/3.08 [zip_derived_cl1, zip_derived_cl8])).
% 17.02/3.08 thf(extensionality3, axiom,
% 17.02/3.08 (( ~( member @ ( f1 @ X @ Y ) @ X ) ) |
% 17.02/3.08 ( ~( member @ ( f1 @ X @ Y ) @ Y ) ) | ( ( X ) = ( Y ) ))).
% 17.02/3.08 thf(zip_derived_cl3, plain,
% 17.02/3.08 (![X0 : $i, X1 : $i]:
% 17.02/3.08 (~ (member @ (f1 @ X0 @ X1) @ X0)
% 17.02/3.08 | ~ (member @ (f1 @ X0 @ X1) @ X1)
% 17.02/3.08 | ((X0) = (X1)))),
% 17.02/3.08 inference('cnf', [status(esa)], [extensionality3])).
% 17.02/3.08 thf(zip_derived_cl144, plain,
% 17.02/3.08 (![X0 : $i, X1 : $i]:
% 17.02/3.08 ( (member @ (f1 @ (complement @ X0) @ X1) @ X0)
% 17.02/3.08 | ((complement @ X0) = (X1))
% 17.02/3.08 | ((complement @ X0) = (X1))
% 17.02/3.08 | ~ (member @ (f1 @ (complement @ X0) @ X1) @ X1))),
% 17.02/3.08 inference('sup-', [status(thm)], [zip_derived_cl61, zip_derived_cl3])).
% 17.02/3.08 thf(zip_derived_cl154, plain,
% 17.02/3.08 (![X0 : $i, X1 : $i]:
% 17.02/3.08 (~ (member @ (f1 @ (complement @ X0) @ X1) @ X1)
% 17.02/3.08 | ((complement @ X0) = (X1))
% 17.02/3.08 | (member @ (f1 @ (complement @ X0) @ X1) @ X0))),
% 17.02/3.08 inference('simplify', [status(thm)], [zip_derived_cl144])).
% 17.02/3.08 thf(zip_derived_cl657, plain,
% 17.02/3.08 (![X0 : $i, X1 : $i]:
% 17.02/3.08 ( (member @ (f1 @ (complement @ X1) @ (complement @ X0)) @ X0)
% 17.02/3.08 | ((complement @ X1) = (complement @ X0))
% 17.02/3.08 | (member @ (f1 @ (complement @ X1) @ (complement @ X0)) @ X1)
% 17.02/3.08 | ((complement @ X1) = (complement @ X0)))),
% 17.02/3.08 inference('sup-', [status(thm)], [zip_derived_cl61, zip_derived_cl154])).
% 17.02/3.08 thf(zip_derived_cl666, plain,
% 17.02/3.08 (![X0 : $i, X1 : $i]:
% 17.02/3.08 ( (member @ (f1 @ (complement @ X1) @ (complement @ X0)) @ X1)
% 17.02/3.08 | ((complement @ X1) = (complement @ X0))
% 17.02/3.08 | (member @ (f1 @ (complement @ X1) @ (complement @ X0)) @ X0))),
% 17.02/3.08 inference('simplify', [status(thm)], [zip_derived_cl657])).
% 17.02/3.08 thf(zip_derived_cl18555, plain,
% 17.02/3.08 (![X0 : $i]:
% 17.02/3.08 (~ (member @
% 17.02/3.08 (f1 @
% 17.02/3.08 (complement @
% 17.02/3.08 (intersection @ (complement @ bs) @ (complement @ as))) @
% 17.02/3.08 (complement @ X0)) @
% 17.02/3.08 ds)
% 17.02/3.08 | (member @
% 17.02/3.08 (f1 @
% 17.02/3.08 (complement @
% 17.02/3.08 (intersection @ (complement @ bs) @ (complement @ as))) @
% 17.02/3.08 (complement @ X0)) @
% 17.02/3.08 X0)
% 17.02/3.08 | ((complement @
% 17.02/3.08 (intersection @ (complement @ bs) @ (complement @ as)))
% 17.02/3.08 = (complement @ X0)))),
% 17.02/3.08 inference('sup+', [status(thm)], [zip_derived_cl162, zip_derived_cl666])).
% 17.02/3.08 thf(zip_derived_cl140, plain,
% 17.02/3.08 (((ds)
% 17.02/3.08 = (complement @ (intersection @ (complement @ bs) @ (complement @ as))))),
% 17.02/3.08 inference('sup+', [status(thm)], [zip_derived_cl13, zip_derived_cl9])).
% 17.02/3.08 thf(zip_derived_cl140, plain,
% 17.02/3.08 (((ds)
% 17.02/3.08 = (complement @ (intersection @ (complement @ bs) @ (complement @ as))))),
% 17.02/3.08 inference('sup+', [status(thm)], [zip_derived_cl13, zip_derived_cl9])).
% 17.02/3.08 thf(zip_derived_cl140, plain,
% 17.02/3.08 (((ds)
% 17.02/3.08 = (complement @ (intersection @ (complement @ bs) @ (complement @ as))))),
% 17.02/3.08 inference('sup+', [status(thm)], [zip_derived_cl13, zip_derived_cl9])).
% 17.02/3.08 thf(zip_derived_cl18619, plain,
% 17.02/3.08 (![X0 : $i]:
% 17.02/3.08 (~ (member @ (f1 @ ds @ (complement @ X0)) @ ds)
% 17.02/3.08 | (member @ (f1 @ ds @ (complement @ X0)) @ X0)
% 17.02/3.08 | ((ds) = (complement @ X0)))),
% 17.02/3.08 inference('demod', [status(thm)],
% 17.02/3.08 [zip_derived_cl18555, zip_derived_cl140, zip_derived_cl140,
% 17.02/3.08 zip_derived_cl140])).
% 17.02/3.08 thf(zip_derived_cl19555, plain,
% 17.02/3.08 ((~ (member @ (f1 @ ds @ cs) @ ds)
% 17.02/3.08 | ((ds)
% 17.02/3.08 = (complement @
% 17.02/3.08 (intersection @ (complement @ as) @ (complement @ bs))))
% 17.02/3.08 | (member @
% 17.02/3.08 (f1 @ ds @
% 17.02/3.08 (complement @
% 17.02/3.08 (intersection @ (complement @ as) @ (complement @ bs)))) @
% 17.02/3.08 (intersection @ (complement @ as) @ (complement @ bs))))),
% 17.02/3.08 inference('sup-', [status(thm)], [zip_derived_cl139, zip_derived_cl18619])).
% 17.02/3.08 thf(zip_derived_cl139, plain,
% 17.02/3.08 (((cs)
% 17.02/3.08 = (complement @ (intersection @ (complement @ as) @ (complement @ bs))))),
% 17.02/3.08 inference('sup+', [status(thm)], [zip_derived_cl12, zip_derived_cl9])).
% 17.02/3.08 thf(zip_derived_cl139, plain,
% 17.02/3.08 (((cs)
% 17.02/3.08 = (complement @ (intersection @ (complement @ as) @ (complement @ bs))))),
% 17.02/3.08 inference('sup+', [status(thm)], [zip_derived_cl12, zip_derived_cl9])).
% 17.02/3.08 thf(zip_derived_cl19563, plain,
% 17.02/3.08 ((~ (member @ (f1 @ ds @ cs) @ ds)
% 17.02/3.08 | ((ds) = (cs))
% 17.02/3.08 | (member @ (f1 @ ds @ cs) @
% 17.02/3.08 (intersection @ (complement @ as) @ (complement @ bs))))),
% 17.02/3.08 inference('demod', [status(thm)],
% 17.02/3.08 [zip_derived_cl19555, zip_derived_cl139, zip_derived_cl139])).
% 17.02/3.08 thf(prove_c_equals_d, conjecture, (( cs ) = ( ds ))).
% 17.02/3.08 thf(zf_stmt_0, negated_conjecture, (( cs ) != ( ds )),
% 17.02/3.08 inference('cnf.neg', [status(esa)], [prove_c_equals_d])).
% 17.02/3.08 thf(zip_derived_cl14, plain, (((cs) != (ds))),
% 17.02/3.08 inference('cnf', [status(esa)], [zf_stmt_0])).
% 17.02/3.08 thf(zip_derived_cl19564, plain,
% 17.02/3.08 ((~ (member @ (f1 @ ds @ cs) @ ds)
% 17.02/3.08 | (member @ (f1 @ ds @ cs) @
% 17.02/3.08 (intersection @ (complement @ as) @ (complement @ bs))))),
% 17.02/3.08 inference('simplify_reflect-', [status(thm)],
% 17.02/3.08 [zip_derived_cl19563, zip_derived_cl14])).
% 17.02/3.08 thf(intersection2, axiom,
% 17.02/3.08 (( ~( member @ Z @ ( intersection @ X @ Y ) ) ) | ( member @ Z @ Y ))).
% 17.02/3.08 thf(zip_derived_cl5, plain,
% 17.02/3.08 (![X0 : $i, X1 : $i, X2 : $i]:
% 17.02/3.08 (~ (member @ X0 @ (intersection @ X1 @ X2)) | (member @ X0 @ X2))),
% 17.02/3.08 inference('cnf', [status(esa)], [intersection2])).
% 17.02/3.08 thf(zip_derived_cl19637, plain,
% 17.02/3.08 ((~ (member @ (f1 @ ds @ cs) @ ds)
% 17.02/3.08 | (member @ (f1 @ ds @ cs) @ (complement @ bs)))),
% 17.02/3.08 inference('sup-', [status(thm)], [zip_derived_cl19564, zip_derived_cl5])).
% 17.02/3.08 thf(zip_derived_cl7, plain,
% 17.02/3.08 (![X0 : $i, X1 : $i]:
% 17.02/3.08 (~ (member @ X0 @ (complement @ X1)) | ~ (member @ X0 @ X1))),
% 17.02/3.08 inference('cnf', [status(esa)], [complement1])).
% 17.02/3.08 thf(zip_derived_cl19724, plain,
% 17.02/3.08 ((~ (member @ (f1 @ ds @ cs) @ ds) | ~ (member @ (f1 @ ds @ cs) @ bs))),
% 17.02/3.08 inference('sup-', [status(thm)], [zip_derived_cl19637, zip_derived_cl7])).
% 17.02/3.08 thf(zip_derived_cl162, plain,
% 17.02/3.08 (![X0 : $i]:
% 17.02/3.08 (~ (member @ X0 @ ds)
% 17.02/3.08 | ~ (member @ X0 @
% 17.02/3.08 (intersection @ (complement @ bs) @ (complement @ as))))),
% 17.02/3.08 inference('sup-', [status(thm)], [zip_derived_cl140, zip_derived_cl7])).
% 17.02/3.08 thf(zip_derived_cl6, plain,
% 17.02/3.08 (![X0 : $i, X1 : $i, X2 : $i]:
% 17.02/3.08 ( (member @ X0 @ (intersection @ X1 @ X2))
% 17.02/3.08 | ~ (member @ X0 @ X1)
% 17.02/3.08 | ~ (member @ X0 @ X2))),
% 17.02/3.08 inference('cnf', [status(esa)], [intersection3])).
% 17.02/3.08 thf(zip_derived_cl174, plain,
% 17.02/3.08 (![X0 : $i]:
% 17.02/3.08 (~ (member @ X0 @ ds)
% 17.02/3.08 | ~ (member @ X0 @ (complement @ as))
% 17.02/3.08 | ~ (member @ X0 @ (complement @ bs)))),
% 17.02/3.08 inference('sup+', [status(thm)], [zip_derived_cl162, zip_derived_cl6])).
% 17.02/3.08 thf(zip_derived_cl61, plain,
% 17.02/3.08 (![X0 : $i, X1 : $i, X2 : $i]:
% 17.02/3.08 (((X1) = (X0))
% 17.02/3.08 | (member @ (f1 @ X1 @ X0) @ X2)
% 17.02/3.08 | (member @ (f1 @ X1 @ X0) @ (complement @ X2)))),
% 17.02/3.08 inference('dp-resolution', [status(thm)],
% 17.02/3.08 [zip_derived_cl1, zip_derived_cl8])).
% 17.02/3.08 thf(zip_derived_cl228, plain,
% 17.02/3.08 (![X0 : $i, X1 : $i]:
% 17.02/3.08 (~ (member @ (f1 @ X1 @ X0) @ (complement @ as))
% 17.02/3.08 | ~ (member @ (f1 @ X1 @ X0) @ ds)
% 17.02/3.08 | (member @ (f1 @ X1 @ X0) @ bs)
% 17.02/3.08 | ((X1) = (X0)))),
% 17.02/3.08 inference('sup+', [status(thm)], [zip_derived_cl174, zip_derived_cl61])).
% 17.02/3.08 thf(zip_derived_cl19564, plain,
% 17.02/3.08 ((~ (member @ (f1 @ ds @ cs) @ ds)
% 17.02/3.08 | (member @ (f1 @ ds @ cs) @
% 17.02/3.08 (intersection @ (complement @ as) @ (complement @ bs))))),
% 17.02/3.08 inference('simplify_reflect-', [status(thm)],
% 17.02/3.08 [zip_derived_cl19563, zip_derived_cl14])).
% 17.02/3.08 thf(intersection1, axiom,
% 17.02/3.08 (( ~( member @ Z @ ( intersection @ X @ Y ) ) ) | ( member @ Z @ X ))).
% 17.02/3.08 thf(zip_derived_cl4, plain,
% 17.02/3.08 (![X0 : $i, X1 : $i, X2 : $i]:
% 17.02/3.08 (~ (member @ X0 @ (intersection @ X1 @ X2)) | (member @ X0 @ X1))),
% 17.02/3.08 inference('cnf', [status(esa)], [intersection1])).
% 17.02/3.08 thf(zip_derived_cl19636, plain,
% 17.02/3.08 ((~ (member @ (f1 @ ds @ cs) @ ds)
% 17.02/3.08 | (member @ (f1 @ ds @ cs) @ (complement @ as)))),
% 17.02/3.08 inference('sup-', [status(thm)], [zip_derived_cl19564, zip_derived_cl4])).
% 17.02/3.08 thf(zip_derived_cl19677, plain,
% 17.02/3.08 ((((ds) = (cs))
% 17.02/3.08 | (member @ (f1 @ ds @ cs) @ bs)
% 17.02/3.08 | ~ (member @ (f1 @ ds @ cs) @ ds)
% 17.02/3.08 | ~ (member @ (f1 @ ds @ cs) @ ds))),
% 17.02/3.08 inference('sup+', [status(thm)], [zip_derived_cl228, zip_derived_cl19636])).
% 17.02/3.08 thf(zip_derived_cl19679, plain,
% 17.02/3.08 ((~ (member @ (f1 @ ds @ cs) @ ds)
% 17.02/3.08 | (member @ (f1 @ ds @ cs) @ bs)
% 17.02/3.08 | ((ds) = (cs)))),
% 17.02/3.08 inference('simplify', [status(thm)], [zip_derived_cl19677])).
% 17.02/3.08 thf(zip_derived_cl14, plain, (((cs) != (ds))),
% 17.02/3.08 inference('cnf', [status(esa)], [zf_stmt_0])).
% 17.02/3.08 thf(zip_derived_cl19680, plain,
% 17.02/3.08 ((~ (member @ (f1 @ ds @ cs) @ ds) | (member @ (f1 @ ds @ cs) @ bs))),
% 17.02/3.08 inference('simplify_reflect-', [status(thm)],
% 17.02/3.08 [zip_derived_cl19679, zip_derived_cl14])).
% 17.02/3.08 thf(zip_derived_cl19733, plain, (~ (member @ (f1 @ ds @ cs) @ ds)),
% 17.02/3.08 inference('clc', [status(thm)],
% 17.02/3.08 [zip_derived_cl19724, zip_derived_cl19680])).
% 17.02/3.08 thf(zip_derived_cl19735, plain,
% 17.02/3.08 ((((ds) = (cs)) | (member @ (f1 @ ds @ cs) @ cs))),
% 17.02/3.08 inference('sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl19733])).
% 17.02/3.08 thf(zip_derived_cl14, plain, (((cs) != (ds))),
% 17.02/3.08 inference('cnf', [status(esa)], [zf_stmt_0])).
% 17.02/3.08 thf(zip_derived_cl19736, plain, ( (member @ (f1 @ ds @ cs) @ cs)),
% 17.02/3.08 inference('simplify_reflect-', [status(thm)],
% 17.02/3.08 [zip_derived_cl19735, zip_derived_cl14])).
% 17.02/3.08 thf(zip_derived_cl140, plain,
% 17.02/3.08 (((ds)
% 17.02/3.08 = (complement @ (intersection @ (complement @ bs) @ (complement @ as))))),
% 17.02/3.08 inference('sup+', [status(thm)], [zip_derived_cl13, zip_derived_cl9])).
% 17.02/3.08 thf(zip_derived_cl154, plain,
% 17.02/3.08 (![X0 : $i, X1 : $i]:
% 17.02/3.08 (~ (member @ (f1 @ (complement @ X0) @ X1) @ X1)
% 17.02/3.08 | ((complement @ X0) = (X1))
% 17.02/3.08 | (member @ (f1 @ (complement @ X0) @ X1) @ X0))),
% 17.02/3.08 inference('simplify', [status(thm)], [zip_derived_cl144])).
% 17.02/3.08 thf(zip_derived_cl660, plain,
% 17.02/3.08 (![X0 : $i]:
% 17.02/3.08 (~ (member @ (f1 @ ds @ X0) @ X0)
% 17.02/3.08 | (member @
% 17.02/3.08 (f1 @
% 17.02/3.08 (complement @
% 17.02/3.08 (intersection @ (complement @ bs) @ (complement @ as))) @
% 17.02/3.08 X0) @
% 17.02/3.08 (intersection @ (complement @ bs) @ (complement @ as)))
% 17.02/3.08 | ((complement @
% 17.02/3.08 (intersection @ (complement @ bs) @ (complement @ as))) = (
% 17.02/3.08 X0)))),
% 17.02/3.08 inference('sup-', [status(thm)], [zip_derived_cl140, zip_derived_cl154])).
% 17.02/3.08 thf(zip_derived_cl140, plain,
% 17.02/3.08 (((ds)
% 17.02/3.08 = (complement @ (intersection @ (complement @ bs) @ (complement @ as))))),
% 17.02/3.08 inference('sup+', [status(thm)], [zip_derived_cl13, zip_derived_cl9])).
% 17.02/3.08 thf(zip_derived_cl140, plain,
% 17.02/3.08 (((ds)
% 17.02/3.08 = (complement @ (intersection @ (complement @ bs) @ (complement @ as))))),
% 17.02/3.08 inference('sup+', [status(thm)], [zip_derived_cl13, zip_derived_cl9])).
% 17.02/3.08 thf(zip_derived_cl669, plain,
% 17.02/3.08 (![X0 : $i]:
% 17.02/3.08 (~ (member @ (f1 @ ds @ X0) @ X0)
% 17.02/3.08 | (member @ (f1 @ ds @ X0) @
% 17.02/3.08 (intersection @ (complement @ bs) @ (complement @ as)))
% 17.02/3.08 | ((ds) = (X0)))),
% 17.02/3.08 inference('demod', [status(thm)],
% 17.02/3.08 [zip_derived_cl660, zip_derived_cl140, zip_derived_cl140])).
% 17.02/3.08 thf(zip_derived_cl19772, plain,
% 17.02/3.08 ((((ds) = (cs))
% 17.02/3.08 | (member @ (f1 @ ds @ cs) @
% 17.02/3.08 (intersection @ (complement @ bs) @ (complement @ as))))),
% 17.02/3.08 inference('sup-', [status(thm)], [zip_derived_cl19736, zip_derived_cl669])).
% 17.02/3.08 thf(zip_derived_cl14, plain, (((cs) != (ds))),
% 17.02/3.08 inference('cnf', [status(esa)], [zf_stmt_0])).
% 17.02/3.08 thf(zip_derived_cl19773, plain,
% 17.02/3.08 ( (member @ (f1 @ ds @ cs) @
% 17.02/3.08 (intersection @ (complement @ bs) @ (complement @ as)))),
% 17.02/3.08 inference('simplify_reflect-', [status(thm)],
% 17.02/3.08 [zip_derived_cl19772, zip_derived_cl14])).
% 17.02/3.08 thf(zip_derived_cl4, plain,
% 17.02/3.08 (![X0 : $i, X1 : $i, X2 : $i]:
% 17.02/3.08 (~ (member @ X0 @ (intersection @ X1 @ X2)) | (member @ X0 @ X1))),
% 17.02/3.08 inference('cnf', [status(esa)], [intersection1])).
% 17.02/3.08 thf(zip_derived_cl19803, plain,
% 17.02/3.08 ( (member @ (f1 @ ds @ cs) @ (complement @ bs))),
% 17.02/3.08 inference('sup-', [status(thm)], [zip_derived_cl19773, zip_derived_cl4])).
% 17.02/3.08 thf(zip_derived_cl20122, plain,
% 17.02/3.08 ((~ (member @ (f1 @ ds @ cs) @ (complement @ as))
% 17.02/3.08 | ~ (member @ (f1 @ ds @ cs) @ cs))),
% 17.02/3.08 inference('sup+', [status(thm)], [zip_derived_cl166, zip_derived_cl19803])).
% 17.02/3.08 thf(zip_derived_cl19736, plain, ( (member @ (f1 @ ds @ cs) @ cs)),
% 17.02/3.08 inference('simplify_reflect-', [status(thm)],
% 17.02/3.08 [zip_derived_cl19735, zip_derived_cl14])).
% 17.02/3.08 thf(zip_derived_cl20124, plain,
% 17.02/3.08 (~ (member @ (f1 @ ds @ cs) @ (complement @ as))),
% 17.02/3.08 inference('demod', [status(thm)],
% 17.02/3.08 [zip_derived_cl20122, zip_derived_cl19736])).
% 17.02/3.08 thf(zip_derived_cl19773, plain,
% 17.02/3.08 ( (member @ (f1 @ ds @ cs) @
% 17.02/3.08 (intersection @ (complement @ bs) @ (complement @ as)))),
% 17.02/3.08 inference('simplify_reflect-', [status(thm)],
% 17.02/3.08 [zip_derived_cl19772, zip_derived_cl14])).
% 17.02/3.08 thf(zip_derived_cl5, plain,
% 17.02/3.08 (![X0 : $i, X1 : $i, X2 : $i]:
% 17.02/3.08 (~ (member @ X0 @ (intersection @ X1 @ X2)) | (member @ X0 @ X2))),
% 17.02/3.08 inference('cnf', [status(esa)], [intersection2])).
% 17.02/3.08 thf(zip_derived_cl19804, plain,
% 17.02/3.08 ( (member @ (f1 @ ds @ cs) @ (complement @ as))),
% 17.02/3.08 inference('sup-', [status(thm)], [zip_derived_cl19773, zip_derived_cl5])).
% 17.02/3.08 thf(zip_derived_cl20136, plain, ($false),
% 17.02/3.08 inference('demod', [status(thm)],
% 17.02/3.08 [zip_derived_cl20124, zip_derived_cl19804])).
% 17.02/3.08
% 17.02/3.08 % SZS output end Refutation
% 17.02/3.08
% 17.02/3.08
% 17.02/3.08 % Terminating...
% 17.65/3.17 % Runner terminated.
% 17.65/3.18 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------