TSTP Solution File: SET012-4 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET012-4 : 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.DvUykAp3ti true
% Computer : n025.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 0.21s 0.79s
% Output : Refutation 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET012-4 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.DvUykAp3ti true
% 0.14/0.34 % Computer : n025.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Sat Aug 26 13:51:23 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.14/0.34 % Running portfolio for 300 s
% 0.14/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.34 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.35 % Running in FO mode
% 0.21/0.63 % Total configuration time : 435
% 0.21/0.63 % Estimated wc time : 1092
% 0.21/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.70 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.72 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.72 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.72 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.73 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.21/0.79 % Solved by fo/fo3_bce.sh.
% 0.21/0.79 % BCE start: 11
% 0.21/0.79 % BCE eliminated: 0
% 0.21/0.79 % PE start: 11
% 0.21/0.79 logic: eq
% 0.21/0.79 % PE eliminated: 0
% 0.21/0.79 % done 197 iterations in 0.065s
% 0.21/0.79 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.21/0.79 % SZS output start Refutation
% 0.21/0.79 thf(as_type, type, as: $i).
% 0.21/0.79 thf(cs_type, type, cs: $i).
% 0.21/0.79 thf(member_type, type, member: $i > $i > $o).
% 0.21/0.79 thf(bs_type, type, bs: $i).
% 0.21/0.79 thf(little_set_type, type, little_set: $i > $o).
% 0.21/0.79 thf(f1_type, type, f1: $i > $i > $i).
% 0.21/0.79 thf(complement_type, type, complement: $i > $i).
% 0.21/0.79 thf(complement_of_a_is_b, axiom, (( complement @ as ) = ( bs ))).
% 0.21/0.79 thf(zip_derived_cl8, plain, (((complement @ as) = (bs))),
% 0.21/0.79 inference('cnf', [status(esa)], [complement_of_a_is_b])).
% 0.21/0.79 thf(complement1, axiom,
% 0.21/0.79 (( ~( member @ Z @ ( complement @ X ) ) ) | ( ~( member @ Z @ X ) ))).
% 0.21/0.79 thf(zip_derived_cl4, plain,
% 0.21/0.79 (![X0 : $i, X1 : $i]:
% 0.21/0.79 (~ (member @ X0 @ (complement @ X1)) | ~ (member @ X0 @ X1))),
% 0.21/0.79 inference('cnf', [status(esa)], [complement1])).
% 0.21/0.79 thf(zip_derived_cl45, plain,
% 0.21/0.79 (![X0 : $i]: (~ (member @ X0 @ bs) | ~ (member @ X0 @ as))),
% 0.21/0.79 inference('sup-', [status(thm)], [zip_derived_cl8, zip_derived_cl4])).
% 0.21/0.79 thf(zip_derived_cl8, plain, (((complement @ as) = (bs))),
% 0.21/0.79 inference('cnf', [status(esa)], [complement_of_a_is_b])).
% 0.21/0.79 thf(extensionality1, axiom,
% 0.21/0.79 (( little_set @ ( f1 @ X @ Y ) ) | ( ( X ) = ( Y ) ))).
% 0.21/0.79 thf(zip_derived_cl1, plain,
% 0.21/0.79 (![X0 : $i, X1 : $i]: ( (little_set @ (f1 @ X0 @ X1)) | ((X0) = (X1)))),
% 0.21/0.79 inference('cnf', [status(esa)], [extensionality1])).
% 0.21/0.79 thf(complement2, axiom,
% 0.21/0.79 (( member @ Z @ ( complement @ X ) ) | ( ~( little_set @ Z ) ) |
% 0.21/0.79 ( member @ Z @ X ))).
% 0.21/0.79 thf(zip_derived_cl5, plain,
% 0.21/0.79 (![X0 : $i, X1 : $i]:
% 0.21/0.79 ( (member @ X0 @ (complement @ X1))
% 0.21/0.79 | ~ (little_set @ X0)
% 0.21/0.79 | (member @ X0 @ X1))),
% 0.21/0.79 inference('cnf', [status(esa)], [complement2])).
% 0.21/0.79 thf(zip_derived_cl43, plain,
% 0.21/0.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.21/0.79 (((X1) = (X0))
% 0.21/0.79 | (member @ (f1 @ X1 @ X0) @ X2)
% 0.21/0.79 | (member @ (f1 @ X1 @ X0) @ (complement @ X2)))),
% 0.21/0.79 inference('dp-resolution', [status(thm)],
% 0.21/0.79 [zip_derived_cl1, zip_derived_cl5])).
% 0.21/0.79 thf(extensionality2, axiom,
% 0.21/0.79 (( member @ ( f1 @ X @ Y ) @ X ) | ( member @ ( f1 @ X @ Y ) @ Y ) |
% 0.21/0.79 ( ( X ) = ( Y ) ))).
% 0.21/0.79 thf(zip_derived_cl2, plain,
% 0.21/0.79 (![X0 : $i, X1 : $i]:
% 0.21/0.79 ( (member @ (f1 @ X0 @ X1) @ X0)
% 0.21/0.79 | (member @ (f1 @ X0 @ X1) @ X1)
% 0.21/0.79 | ((X0) = (X1)))),
% 0.21/0.79 inference('cnf', [status(esa)], [extensionality2])).
% 0.21/0.79 thf(zip_derived_cl4, plain,
% 0.21/0.79 (![X0 : $i, X1 : $i]:
% 0.21/0.79 (~ (member @ X0 @ (complement @ X1)) | ~ (member @ X0 @ X1))),
% 0.21/0.79 inference('cnf', [status(esa)], [complement1])).
% 0.21/0.79 thf(zip_derived_cl47, plain,
% 0.21/0.79 (![X0 : $i, X1 : $i]:
% 0.21/0.79 (((complement @ X0) = (X1))
% 0.21/0.79 | (member @ (f1 @ (complement @ X0) @ X1) @ X1)
% 0.21/0.79 | ~ (member @ (f1 @ (complement @ X0) @ X1) @ X0))),
% 0.21/0.79 inference('sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl4])).
% 0.21/0.79 thf(zip_derived_cl116, plain,
% 0.21/0.79 (![X0 : $i, X1 : $i]:
% 0.21/0.79 ( (member @ (f1 @ (complement @ (complement @ X0)) @ X1) @ X0)
% 0.21/0.79 | ((complement @ (complement @ X0)) = (X1))
% 0.21/0.79 | (member @ (f1 @ (complement @ (complement @ X0)) @ X1) @ X1)
% 0.21/0.79 | ((complement @ (complement @ X0)) = (X1)))),
% 0.21/0.79 inference('sup-', [status(thm)], [zip_derived_cl43, zip_derived_cl47])).
% 0.21/0.79 thf(zip_derived_cl121, plain,
% 0.21/0.79 (![X0 : $i, X1 : $i]:
% 0.21/0.79 ( (member @ (f1 @ (complement @ (complement @ X0)) @ X1) @ X1)
% 0.21/0.79 | ((complement @ (complement @ X0)) = (X1))
% 0.21/0.79 | (member @ (f1 @ (complement @ (complement @ X0)) @ X1) @ X0))),
% 0.21/0.79 inference('simplify', [status(thm)], [zip_derived_cl116])).
% 0.21/0.79 thf(zip_derived_cl513, plain,
% 0.21/0.79 (![X0 : $i]:
% 0.21/0.79 ( (member @ (f1 @ (complement @ (complement @ X0)) @ X0) @ X0)
% 0.21/0.79 | ((complement @ (complement @ X0)) = (X0)))),
% 0.21/0.79 inference('eq_fact', [status(thm)], [zip_derived_cl121])).
% 0.21/0.79 thf(zip_derived_cl615, plain,
% 0.21/0.79 (( (member @ (f1 @ (complement @ bs) @ as) @ as)
% 0.21/0.79 | ((complement @ (complement @ as)) = (as)))),
% 0.21/0.79 inference('sup+', [status(thm)], [zip_derived_cl8, zip_derived_cl513])).
% 0.21/0.79 thf(complement_of_b_is_c, axiom, (( complement @ bs ) = ( cs ))).
% 0.21/0.79 thf(zip_derived_cl9, plain, (((complement @ bs) = (cs))),
% 0.21/0.79 inference('cnf', [status(esa)], [complement_of_b_is_c])).
% 0.21/0.79 thf(zip_derived_cl8, plain, (((complement @ as) = (bs))),
% 0.21/0.79 inference('cnf', [status(esa)], [complement_of_a_is_b])).
% 0.21/0.79 thf(zip_derived_cl9, plain, (((complement @ bs) = (cs))),
% 0.21/0.79 inference('cnf', [status(esa)], [complement_of_b_is_c])).
% 0.21/0.79 thf(zip_derived_cl623, plain,
% 0.21/0.79 (( (member @ (f1 @ cs @ as) @ as) | ((cs) = (as)))),
% 0.21/0.79 inference('demod', [status(thm)],
% 0.21/0.79 [zip_derived_cl615, zip_derived_cl9, zip_derived_cl8,
% 0.21/0.79 zip_derived_cl9])).
% 0.21/0.79 thf(prove_a_equals_c, conjecture, (( as ) = ( cs ))).
% 0.21/0.79 thf(zf_stmt_0, negated_conjecture, (( as ) != ( cs )),
% 0.21/0.79 inference('cnf.neg', [status(esa)], [prove_a_equals_c])).
% 0.21/0.79 thf(zip_derived_cl10, plain, (((as) != (cs))),
% 0.21/0.79 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.21/0.79 thf(zip_derived_cl624, plain, ( (member @ (f1 @ cs @ as) @ as)),
% 0.21/0.79 inference('simplify_reflect-', [status(thm)],
% 0.21/0.79 [zip_derived_cl623, zip_derived_cl10])).
% 0.21/0.79 thf(zip_derived_cl9, plain, (((complement @ bs) = (cs))),
% 0.21/0.79 inference('cnf', [status(esa)], [complement_of_b_is_c])).
% 0.21/0.79 thf(zip_derived_cl43, plain,
% 0.21/0.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.21/0.79 (((X1) = (X0))
% 0.21/0.79 | (member @ (f1 @ X1 @ X0) @ X2)
% 0.21/0.79 | (member @ (f1 @ X1 @ X0) @ (complement @ X2)))),
% 0.21/0.79 inference('dp-resolution', [status(thm)],
% 0.21/0.79 [zip_derived_cl1, zip_derived_cl5])).
% 0.21/0.79 thf(extensionality3, axiom,
% 0.21/0.79 (( ~( member @ ( f1 @ X @ Y ) @ X ) ) |
% 0.21/0.79 ( ~( member @ ( f1 @ X @ Y ) @ Y ) ) | ( ( X ) = ( Y ) ))).
% 0.21/0.79 thf(zip_derived_cl3, plain,
% 0.21/0.79 (![X0 : $i, X1 : $i]:
% 0.21/0.79 (~ (member @ (f1 @ X0 @ X1) @ X0)
% 0.21/0.79 | ~ (member @ (f1 @ X0 @ X1) @ X1)
% 0.21/0.79 | ((X0) = (X1)))),
% 0.21/0.79 inference('cnf', [status(esa)], [extensionality3])).
% 0.21/0.79 thf(zip_derived_cl75, plain,
% 0.21/0.79 (![X0 : $i, X1 : $i]:
% 0.21/0.79 ( (member @ (f1 @ (complement @ X0) @ X1) @ X0)
% 0.21/0.79 | ((complement @ X0) = (X1))
% 0.21/0.79 | ((complement @ X0) = (X1))
% 0.21/0.79 | ~ (member @ (f1 @ (complement @ X0) @ X1) @ X1))),
% 0.21/0.79 inference('sup-', [status(thm)], [zip_derived_cl43, zip_derived_cl3])).
% 0.21/0.79 thf(zip_derived_cl79, plain,
% 0.21/0.79 (![X0 : $i, X1 : $i]:
% 0.21/0.79 (~ (member @ (f1 @ (complement @ X0) @ X1) @ X1)
% 0.21/0.79 | ((complement @ X0) = (X1))
% 0.21/0.79 | (member @ (f1 @ (complement @ X0) @ X1) @ X0))),
% 0.21/0.79 inference('simplify', [status(thm)], [zip_derived_cl75])).
% 0.21/0.79 thf(zip_derived_cl269, plain,
% 0.21/0.79 (![X0 : $i]:
% 0.21/0.79 (~ (member @ (f1 @ cs @ X0) @ X0)
% 0.21/0.79 | (member @ (f1 @ (complement @ bs) @ X0) @ bs)
% 0.21/0.79 | ((complement @ bs) = (X0)))),
% 0.21/0.79 inference('sup-', [status(thm)], [zip_derived_cl9, zip_derived_cl79])).
% 0.21/0.79 thf(zip_derived_cl9, plain, (((complement @ bs) = (cs))),
% 0.21/0.79 inference('cnf', [status(esa)], [complement_of_b_is_c])).
% 0.21/0.79 thf(zip_derived_cl9, plain, (((complement @ bs) = (cs))),
% 0.21/0.79 inference('cnf', [status(esa)], [complement_of_b_is_c])).
% 0.21/0.79 thf(zip_derived_cl278, plain,
% 0.21/0.79 (![X0 : $i]:
% 0.21/0.79 (~ (member @ (f1 @ cs @ X0) @ X0)
% 0.21/0.79 | (member @ (f1 @ cs @ X0) @ bs)
% 0.21/0.79 | ((cs) = (X0)))),
% 0.21/0.79 inference('demod', [status(thm)],
% 0.21/0.79 [zip_derived_cl269, zip_derived_cl9, zip_derived_cl9])).
% 0.21/0.79 thf(zip_derived_cl633, plain,
% 0.21/0.79 ((((cs) = (as)) | (member @ (f1 @ cs @ as) @ bs))),
% 0.21/0.79 inference('sup-', [status(thm)], [zip_derived_cl624, zip_derived_cl278])).
% 0.21/0.79 thf(zip_derived_cl10, plain, (((as) != (cs))),
% 0.21/0.79 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.21/0.79 thf(zip_derived_cl634, plain, ( (member @ (f1 @ cs @ as) @ bs)),
% 0.21/0.79 inference('simplify_reflect-', [status(thm)],
% 0.21/0.79 [zip_derived_cl633, zip_derived_cl10])).
% 0.21/0.79 thf(zip_derived_cl641, plain, (~ (member @ (f1 @ cs @ as) @ as)),
% 0.21/0.79 inference('sup+', [status(thm)], [zip_derived_cl45, zip_derived_cl634])).
% 0.21/0.79 thf(zip_derived_cl624, plain, ( (member @ (f1 @ cs @ as) @ as)),
% 0.21/0.79 inference('simplify_reflect-', [status(thm)],
% 0.21/0.79 [zip_derived_cl623, zip_derived_cl10])).
% 0.21/0.79 thf(zip_derived_cl642, plain, ($false),
% 0.21/0.79 inference('demod', [status(thm)], [zip_derived_cl641, zip_derived_cl624])).
% 0.21/0.79
% 0.21/0.79 % SZS output end Refutation
% 0.21/0.79
% 0.21/0.79
% 0.21/0.79 % Terminating...
% 1.62/0.84 % Runner terminated.
% 1.62/0.85 % Zipperpin 1.5 exiting
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