%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET012-4 : TPTP v9.2.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.2nqK4qHHgy 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 Oct 2 04:51:06 PM UTC 2025
% Result : Unsatisfiable 0.64s 0.87s
% Output : Refutation 0.64s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SET012-4 : TPTP v9.2.0. Bugfixed v1.2.1.
% 0.12/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.2nqK4qHHgy true
% 0.13/0.35 % Computer : n025.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Wed Oct 1 13:07:23 EDT 2025
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.36 % Running in FO mode
% 0.58/0.70 % Total configuration time : 435
% 0.58/0.70 % Estimated wc time : 1092
% 0.58/0.70 % Estimated cpu time (7 cpus) : 156.0
% 0.63/0.76 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.63/0.77 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.63/0.81 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.63/0.81 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.63/0.81 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.63/0.83 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.63/0.83 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.64/0.87 % Solved by fo/fo6_bce.sh.
% 0.64/0.87 % BCE start: 11
% 0.64/0.87 % BCE eliminated: 0
% 0.64/0.87 % PE start: 11
% 0.64/0.87 logic: eq
% 0.64/0.87 % PE eliminated: 0
% 0.64/0.87 % done 166 iterations in 0.083s
% 0.64/0.87 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.64/0.87 % SZS output start Refutation
% 0.64/0.87 thf(as_type, type, as: $i).
% 0.64/0.87 thf(cs_type, type, cs: $i).
% 0.64/0.87 thf(member_type, type, member: $i > $i > $o).
% 0.64/0.87 thf(bs_type, type, bs: $i).
% 0.64/0.87 thf(little_set_type, type, little_set: $i > $o).
% 0.64/0.87 thf(f1_type, type, f1: $i > $i > $i).
% 0.64/0.87 thf(complement_type, type, complement: $i > $i).
% 0.64/0.87 thf(complement_of_a_is_b, axiom, (( complement @ as ) = ( bs ))).
% 0.64/0.87 thf(zip_derived_cl8, plain, (((complement @ as) = (bs))),
% 0.64/0.87 inference('cnf', [status(esa)], [complement_of_a_is_b])).
% 0.64/0.87 thf(complement2, axiom,
% 0.64/0.87 (( member @ Z @ ( complement @ X ) ) | ( ~( little_set @ Z ) ) |
% 0.64/0.87 ( member @ Z @ X ))).
% 0.64/0.87 thf(zip_derived_cl5, plain,
% 0.64/0.87 (![X0 : $i, X1 : $i]:
% 0.64/0.87 ( (member @ X0 @ (complement @ X1))
% 0.64/0.87 | ~ (little_set @ X0)
% 0.64/0.87 | (member @ X0 @ X1))),
% 0.64/0.87 inference('cnf', [status(esa)], [complement2])).
% 0.64/0.87 thf(extensionality2, axiom,
% 0.64/0.87 (( member @ ( f1 @ X @ Y ) @ X ) | ( member @ ( f1 @ X @ Y ) @ Y ) |
% 0.64/0.87 ( ( X ) = ( Y ) ))).
% 0.64/0.87 thf(zip_derived_cl2, plain,
% 0.64/0.87 (![X0 : $i, X1 : $i]:
% 0.64/0.87 ( (member @ (f1 @ X0 @ X1) @ X0)
% 0.64/0.87 | (member @ (f1 @ X0 @ X1) @ X1)
% 0.64/0.87 | ((X0) = (X1)))),
% 0.64/0.87 inference('cnf', [status(esa)], [extensionality2])).
% 0.64/0.87 thf(complement1, axiom,
% 0.64/0.87 (( ~( member @ Z @ ( complement @ X ) ) ) | ( ~( member @ Z @ X ) ))).
% 0.64/0.87 thf(zip_derived_cl4, plain,
% 0.64/0.87 (![X0 : $i, X1 : $i]:
% 0.64/0.87 (~ (member @ X0 @ (complement @ X1)) | ~ (member @ X0 @ X1))),
% 0.64/0.87 inference('cnf', [status(esa)], [complement1])).
% 0.64/0.87 thf(zip_derived_cl51, plain,
% 0.64/0.87 (![X0 : $i, X1 : $i]:
% 0.64/0.87 (((complement @ X0) = (X1))
% 0.64/0.87 | (member @ (f1 @ (complement @ X0) @ X1) @ X1)
% 0.64/0.87 | ~ (member @ (f1 @ (complement @ X0) @ X1) @ X0))),
% 0.64/0.87 inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl4])).
% 0.64/0.87 thf(zip_derived_cl106, plain,
% 0.64/0.87 (![X0 : $i, X1 : $i]:
% 0.64/0.87 ( (member @ (f1 @ (complement @ (complement @ X0)) @ X1) @ X0)
% 0.64/0.87 | ~ (little_set @ (f1 @ (complement @ (complement @ X0)) @ X1))
% 0.64/0.87 | ((complement @ (complement @ X0)) = (X1))
% 0.64/0.87 | (member @ (f1 @ (complement @ (complement @ X0)) @ X1) @ X1))),
% 0.64/0.87 inference('s_sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl51])).
% 0.64/0.87 thf(extensionality1, axiom,
% 0.64/0.87 (( little_set @ ( f1 @ X @ Y ) ) | ( ( X ) = ( Y ) ))).
% 0.64/0.87 thf(zip_derived_cl1, plain,
% 0.64/0.87 (![X0 : $i, X1 : $i]: ( (little_set @ (f1 @ X0 @ X1)) | ((X0) = (X1)))),
% 0.64/0.87 inference('cnf', [status(esa)], [extensionality1])).
% 0.64/0.87 thf(zip_derived_cl194, plain,
% 0.64/0.87 (![X0 : $i, X1 : $i]:
% 0.64/0.87 ( (member @ (f1 @ (complement @ (complement @ X0)) @ X1) @ X1)
% 0.64/0.87 | ((complement @ (complement @ X0)) = (X1))
% 0.64/0.87 | (member @ (f1 @ (complement @ (complement @ X0)) @ X1) @ X0))),
% 0.64/0.87 inference('clc', [status(thm)], [zip_derived_cl106, zip_derived_cl1])).
% 0.64/0.87 thf(zip_derived_cl218, plain,
% 0.64/0.87 (![X0 : $i]:
% 0.64/0.87 (((complement @ (complement @ X0)) = (X0))
% 0.64/0.87 | (member @ (f1 @ (complement @ (complement @ X0)) @ X0) @ X0))),
% 0.64/0.87 inference('eq_fact', [status(thm)], [zip_derived_cl194])).
% 0.64/0.87 thf(zip_derived_cl586, plain,
% 0.64/0.87 ((((complement @ bs) = (as))
% 0.64/0.87 | (member @ (f1 @ (complement @ bs) @ as) @ as))),
% 0.64/0.87 inference('s_sup+', [status(thm)], [zip_derived_cl8, zip_derived_cl218])).
% 0.64/0.87 thf(complement_of_b_is_c, axiom, (( complement @ bs ) = ( cs ))).
% 0.64/0.87 thf(zip_derived_cl9, plain, (((complement @ bs) = (cs))),
% 0.64/0.87 inference('cnf', [status(esa)], [complement_of_b_is_c])).
% 0.64/0.87 thf(zip_derived_cl9, plain, (((complement @ bs) = (cs))),
% 0.64/0.87 inference('cnf', [status(esa)], [complement_of_b_is_c])).
% 0.64/0.87 thf(zip_derived_cl590, plain,
% 0.64/0.87 ((((cs) = (as)) | (member @ (f1 @ cs @ as) @ as))),
% 0.64/0.87 inference('demod', [status(thm)],
% 0.64/0.87 [zip_derived_cl586, zip_derived_cl9, zip_derived_cl9])).
% 0.64/0.87 thf(prove_a_equals_c, conjecture, (( as ) = ( cs ))).
% 0.64/0.87 thf(zf_stmt_0, negated_conjecture, (( as ) != ( cs )),
% 0.64/0.87 inference('cnf.neg', [status(esa)], [prove_a_equals_c])).
% 0.64/0.87 thf(zip_derived_cl10, plain, (((as) != (cs))),
% 0.64/0.87 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.64/0.87 thf(zip_derived_cl591, plain, ( (member @ (f1 @ cs @ as) @ as)),
% 0.64/0.87 inference('simplify_reflect-', [status(thm)],
% 0.64/0.87 [zip_derived_cl590, zip_derived_cl10])).
% 0.64/0.87 thf(zip_derived_cl9, plain, (((complement @ bs) = (cs))),
% 0.64/0.87 inference('cnf', [status(esa)], [complement_of_b_is_c])).
% 0.64/0.87 thf(zip_derived_cl5, plain,
% 0.64/0.87 (![X0 : $i, X1 : $i]:
% 0.64/0.87 ( (member @ X0 @ (complement @ X1))
% 0.64/0.87 | ~ (little_set @ X0)
% 0.64/0.87 | (member @ X0 @ X1))),
% 0.64/0.87 inference('cnf', [status(esa)], [complement2])).
% 0.64/0.87 thf(extensionality3, axiom,
% 0.64/0.87 (( ~( member @ ( f1 @ X @ Y ) @ X ) ) |
% 0.64/0.87 ( ~( member @ ( f1 @ X @ Y ) @ Y ) ) | ( ( X ) = ( Y ) ))).
% 0.64/0.87 thf(zip_derived_cl3, plain,
% 0.64/0.87 (![X0 : $i, X1 : $i]:
% 0.64/0.87 (~ (member @ (f1 @ X0 @ X1) @ X0)
% 0.64/0.87 | ~ (member @ (f1 @ X0 @ X1) @ X1)
% 0.64/0.87 | ((X0) = (X1)))),
% 0.64/0.87 inference('cnf', [status(esa)], [extensionality3])).
% 0.64/0.87 thf(zip_derived_cl85, plain,
% 0.64/0.87 (![X0 : $i, X1 : $i]:
% 0.64/0.87 ( (member @ (f1 @ (complement @ X0) @ X1) @ X0)
% 0.64/0.87 | ~ (little_set @ (f1 @ (complement @ X0) @ X1))
% 0.64/0.87 | ~ (member @ (f1 @ (complement @ X0) @ X1) @ X1)
% 0.64/0.87 | ((complement @ X0) = (X1)))),
% 0.64/0.87 inference('s_sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl3])).
% 0.64/0.87 thf(a2, axiom, (( ~( member @ X @ Y ) ) | ( little_set @ X ))).
% 0.64/0.87 thf(zip_derived_cl0, plain,
% 0.64/0.87 (![X0 : $i, X1 : $i]: (~ (member @ X0 @ X1) | (little_set @ X0))),
% 0.64/0.87 inference('cnf', [status(esa)], [a2])).
% 0.64/0.87 thf(zip_derived_cl139, plain,
% 0.64/0.87 (![X0 : $i, X1 : $i]:
% 0.64/0.87 (((complement @ X0) = (X1))
% 0.64/0.87 | ~ (member @ (f1 @ (complement @ X0) @ X1) @ X1)
% 0.64/0.87 | (member @ (f1 @ (complement @ X0) @ X1) @ X0))),
% 0.64/0.87 inference('clc', [status(thm)], [zip_derived_cl85, zip_derived_cl0])).
% 0.64/0.87 thf(zip_derived_cl146, plain,
% 0.64/0.87 (![X0 : $i]:
% 0.64/0.87 (((cs) = (X0))
% 0.64/0.87 | ~ (member @ (f1 @ cs @ X0) @ X0)
% 0.64/0.87 | (member @ (f1 @ cs @ X0) @ bs))),
% 0.64/0.87 inference('s_sup-', [status(thm)], [zip_derived_cl9, zip_derived_cl139])).
% 0.64/0.87 thf(zip_derived_cl598, plain,
% 0.64/0.87 ((((cs) = (as)) | (member @ (f1 @ cs @ as) @ bs))),
% 0.64/0.87 inference('s_sup-', [status(thm)], [zip_derived_cl591, zip_derived_cl146])).
% 0.64/0.87 thf(zip_derived_cl10, plain, (((as) != (cs))),
% 0.64/0.87 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.64/0.87 thf(zip_derived_cl599, plain, ( (member @ (f1 @ cs @ as) @ bs)),
% 0.64/0.87 inference('simplify_reflect-', [status(thm)],
% 0.64/0.87 [zip_derived_cl598, zip_derived_cl10])).
% 0.64/0.87 thf(zip_derived_cl8, plain, (((complement @ as) = (bs))),
% 0.64/0.87 inference('cnf', [status(esa)], [complement_of_a_is_b])).
% 0.64/0.87 thf(zip_derived_cl4, plain,
% 0.64/0.87 (![X0 : $i, X1 : $i]:
% 0.64/0.87 (~ (member @ X0 @ (complement @ X1)) | ~ (member @ X0 @ X1))),
% 0.64/0.87 inference('cnf', [status(esa)], [complement1])).
% 0.64/0.87 thf(zip_derived_cl45, plain,
% 0.64/0.87 (![X0 : $i]: (~ (member @ X0 @ bs) | ~ (member @ X0 @ as))),
% 0.64/0.87 inference('s_sup-', [status(thm)], [zip_derived_cl8, zip_derived_cl4])).
% 0.64/0.87 thf(zip_derived_cl605, plain, (~ (member @ (f1 @ cs @ as) @ as)),
% 0.64/0.87 inference('s_sup-', [status(thm)], [zip_derived_cl599, zip_derived_cl45])).
% 0.64/0.87 thf(zip_derived_cl591, plain, ( (member @ (f1 @ cs @ as) @ as)),
% 0.64/0.87 inference('simplify_reflect-', [status(thm)],
% 0.64/0.87 [zip_derived_cl590, zip_derived_cl10])).
% 0.64/0.87 thf(zip_derived_cl607, plain, ($false),
% 0.64/0.87 inference('demod', [status(thm)], [zip_derived_cl605, zip_derived_cl591])).
% 0.64/0.87
% 0.64/0.87 % SZS output end Refutation
% 0.64/0.87
% 0.64/0.87
% 0.64/0.87 % Terminating...
% 1.71/0.90 % Runner terminated.
% 1.71/0.91 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------