%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET788+1 : TPTP v9.2.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.KqGDTwExXe true
% Computer : n008.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 04:52:50 PM UTC 2025
% Result : Theorem 0.56s 0.79s
% Output : Refutation 0.56s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SET788+1 : TPTP v9.2.0. Released v3.1.0.
% 0.07/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.KqGDTwExXe true
% 0.15/0.34 % Computer : n008.cluster.edu
% 0.15/0.34 % Model : x86_64 x86_64
% 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34 % Memory : 8042.1875MB
% 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34 % CPULimit : 300
% 0.15/0.34 % WCLimit : 300
% 0.15/0.34 % DateTime : Wed Oct 1 13:03:38 EDT 2025
% 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
% 0.15/0.35 % Python version: Python 3.6.8
% 0.15/0.35 % Running in FO mode
% 0.56/0.63 % Total configuration time : 435
% 0.56/0.63 % Estimated wc time : 1092
% 0.56/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.56/0.75 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.56/0.76 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.56/0.76 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.56/0.76 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.56/0.77 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.56/0.78 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.56/0.78 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.56/0.79 % Solved by fo/fo6_bce.sh.
% 0.56/0.79 % BCE start: 8
% 0.56/0.79 % BCE eliminated: 0
% 0.56/0.79 % PE start: 8
% 0.56/0.79 logic: neq
% 0.56/0.79 % PE eliminated: 2
% 0.56/0.79 % done 27 iterations in 0.014s
% 0.56/0.79 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.56/0.79 % SZS output start Refutation
% 0.56/0.79 thf(a_member_of_type, type, a_member_of: $i > $i > $o).
% 0.56/0.79 thf(sk__type, type, sk_: $i).
% 0.56/0.79 thf(sk__1_type, type, sk__1: $i).
% 0.56/0.79 thf(zip_tseitin_0_type, type, zip_tseitin_0: $i > $i > $i > $o).
% 0.56/0.79 thf(equalish_type, type, equalish: $i > $i > $o).
% 0.56/0.79 thf(sk__2_type, type, sk__2: $i > $i > $i).
% 0.56/0.79 thf(prove_this, conjecture,
% 0.56/0.79 (( ![X:$i,Y:$i]:
% 0.56/0.79 ( ( equalish @ X @ Y ) <=>
% 0.56/0.79 ( ![Z:$i]: ( ( a_member_of @ Z @ X ) <=> ( a_member_of @ Z @ Y ) ) ) ) ) =>
% 0.56/0.79 ( ![X:$i,Y:$i]: ( ( equalish @ X @ Y ) <=> ( equalish @ Y @ X ) ) ))).
% 0.56/0.79 thf(zf_stmt_0, type, zip_tseitin_0 : $i > $i > $i > $o).
% 0.56/0.79 thf(zf_stmt_1, axiom,
% 0.56/0.79 (![Z:$i,Y:$i,X:$i]:
% 0.56/0.79 ( ( zip_tseitin_0 @ Z @ Y @ X ) <=>
% 0.56/0.79 ( ( a_member_of @ Z @ X ) <=> ( a_member_of @ Z @ Y ) ) ))).
% 0.56/0.79 thf(zf_stmt_2, conjecture,
% 0.56/0.79 (( ![X:$i,Y:$i]:
% 0.56/0.79 ( ( equalish @ X @ Y ) <=> ( ![Z:$i]: ( zip_tseitin_0 @ Z @ Y @ X ) ) ) ) =>
% 0.56/0.79 ( ![X:$i,Y:$i]: ( ( equalish @ X @ Y ) <=> ( equalish @ Y @ X ) ) ))).
% 0.56/0.79 thf(zf_stmt_3, negated_conjecture,
% 0.56/0.79 (~( ( ![X:$i,Y:$i]:
% 0.56/0.79 ( ( equalish @ X @ Y ) <=> ( ![Z:$i]: ( zip_tseitin_0 @ Z @ Y @ X ) ) ) ) =>
% 0.56/0.79 ( ![X:$i,Y:$i]: ( ( equalish @ X @ Y ) <=> ( equalish @ Y @ X ) ) ) )),
% 0.56/0.79 inference('cnf.neg', [status(esa)], [zf_stmt_2])).
% 0.56/0.79 thf(zip_derived_cl7, plain,
% 0.56/0.79 (( (equalish @ sk__1 @ sk_) | (equalish @ sk_ @ sk__1))),
% 0.56/0.79 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.56/0.79 thf(zip_derived_cl5, plain,
% 0.56/0.79 (![X0 : $i, X2 : $i, X3 : $i]:
% 0.56/0.79 ( (zip_tseitin_0 @ X2 @ X3 @ X0) | ~ (equalish @ X0 @ X3))),
% 0.56/0.79 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.56/0.79 thf(zip_derived_cl0, plain,
% 0.56/0.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.56/0.79 (~ (a_member_of @ X0 @ X1)
% 0.56/0.79 | (a_member_of @ X0 @ X2)
% 0.56/0.79 | ~ (zip_tseitin_0 @ X0 @ X1 @ X2))),
% 0.56/0.79 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.56/0.79 thf(zip_derived_cl12, plain,
% 0.56/0.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.56/0.79 (~ (equalish @ X0 @ X2)
% 0.56/0.79 | (a_member_of @ X1 @ X0)
% 0.56/0.79 | ~ (a_member_of @ X1 @ X2))),
% 0.56/0.79 inference('dp-resolution', [status(thm)],
% 0.56/0.79 [zip_derived_cl5, zip_derived_cl0])).
% 0.56/0.79 thf(zip_derived_cl17, plain,
% 0.56/0.79 (![X0 : $i]:
% 0.56/0.79 ( (equalish @ sk_ @ sk__1)
% 0.56/0.79 | (a_member_of @ X0 @ sk__1)
% 0.56/0.79 | ~ (a_member_of @ X0 @ sk_))),
% 0.56/0.79 inference('s_sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl12])).
% 0.56/0.79 thf(zip_derived_cl5, plain,
% 0.56/0.79 (![X0 : $i, X2 : $i, X3 : $i]:
% 0.56/0.79 ( (zip_tseitin_0 @ X2 @ X3 @ X0) | ~ (equalish @ X0 @ X3))),
% 0.56/0.79 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.56/0.79 thf(zip_derived_cl1, plain,
% 0.56/0.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.56/0.79 (~ (a_member_of @ X0 @ X1)
% 0.56/0.79 | (a_member_of @ X0 @ X2)
% 0.56/0.79 | ~ (zip_tseitin_0 @ X0 @ X2 @ X1))),
% 0.56/0.79 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.56/0.79 thf(zip_derived_cl13, plain,
% 0.56/0.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.56/0.79 (~ (equalish @ X2 @ X0)
% 0.56/0.79 | (a_member_of @ X1 @ X0)
% 0.56/0.79 | ~ (a_member_of @ X1 @ X2))),
% 0.56/0.79 inference('dp-resolution', [status(thm)],
% 0.56/0.79 [zip_derived_cl5, zip_derived_cl1])).
% 0.56/0.79 thf(zip_derived_cl19, plain,
% 0.56/0.79 (![X0 : $i]: (~ (a_member_of @ X0 @ sk_) | (a_member_of @ X0 @ sk__1))),
% 0.56/0.79 inference('clc', [status(thm)], [zip_derived_cl17, zip_derived_cl13])).
% 0.56/0.79 thf(zip_derived_cl3, plain,
% 0.56/0.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.56/0.79 ( (zip_tseitin_0 @ X0 @ X1 @ X2)
% 0.56/0.79 | (a_member_of @ X0 @ X1)
% 0.56/0.79 | (a_member_of @ X0 @ X2))),
% 0.56/0.79 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.56/0.79 thf(zip_derived_cl4, plain,
% 0.56/0.79 (![X0 : $i, X1 : $i]:
% 0.56/0.79 ( (equalish @ X0 @ X1)
% 0.56/0.79 | ~ (zip_tseitin_0 @ (sk__2 @ X1 @ X0) @ X1 @ X0))),
% 0.56/0.79 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.56/0.79 thf(zip_derived_cl15, plain,
% 0.56/0.79 (![X0 : $i, X1 : $i]:
% 0.56/0.79 ( (a_member_of @ (sk__2 @ X0 @ X1) @ X1)
% 0.56/0.79 | (a_member_of @ (sk__2 @ X0 @ X1) @ X0)
% 0.56/0.79 | (equalish @ X1 @ X0))),
% 0.56/0.79 inference('dp-resolution', [status(thm)],
% 0.56/0.79 [zip_derived_cl3, zip_derived_cl4])).
% 0.56/0.79 thf(zip_derived_cl7, plain,
% 0.56/0.79 (( (equalish @ sk__1 @ sk_) | (equalish @ sk_ @ sk__1))),
% 0.56/0.79 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.56/0.79 thf(zip_derived_cl13, plain,
% 0.56/0.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.56/0.79 (~ (equalish @ X2 @ X0)
% 0.56/0.79 | (a_member_of @ X1 @ X0)
% 0.56/0.79 | ~ (a_member_of @ X1 @ X2))),
% 0.56/0.79 inference('dp-resolution', [status(thm)],
% 0.56/0.79 [zip_derived_cl5, zip_derived_cl1])).
% 0.56/0.79 thf(zip_derived_cl18, plain,
% 0.56/0.79 (![X0 : $i]:
% 0.56/0.79 ( (equalish @ sk_ @ sk__1)
% 0.56/0.79 | (a_member_of @ X0 @ sk_)
% 0.56/0.79 | ~ (a_member_of @ X0 @ sk__1))),
% 0.56/0.79 inference('s_sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl13])).
% 0.56/0.79 thf(zip_derived_cl12, plain,
% 0.56/0.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.56/0.79 (~ (equalish @ X0 @ X2)
% 0.56/0.79 | (a_member_of @ X1 @ X0)
% 0.56/0.79 | ~ (a_member_of @ X1 @ X2))),
% 0.56/0.79 inference('dp-resolution', [status(thm)],
% 0.56/0.79 [zip_derived_cl5, zip_derived_cl0])).
% 0.56/0.79 thf(zip_derived_cl20, plain,
% 0.56/0.79 (![X0 : $i]: (~ (a_member_of @ X0 @ sk__1) | (a_member_of @ X0 @ sk_))),
% 0.56/0.79 inference('clc', [status(thm)], [zip_derived_cl18, zip_derived_cl12])).
% 0.56/0.79 thf(zip_derived_cl28, plain,
% 0.56/0.79 (![X0 : $i]:
% 0.56/0.79 ( (equalish @ X0 @ sk__1)
% 0.56/0.79 | (a_member_of @ (sk__2 @ sk__1 @ X0) @ X0)
% 0.56/0.79 | (a_member_of @ (sk__2 @ sk__1 @ X0) @ sk_))),
% 0.56/0.79 inference('s_sup-', [status(thm)], [zip_derived_cl15, zip_derived_cl20])).
% 0.56/0.79 thf(zip_derived_cl64, plain,
% 0.56/0.79 (( (a_member_of @ (sk__2 @ sk__1 @ sk_) @ sk_)
% 0.56/0.79 | (equalish @ sk_ @ sk__1))),
% 0.56/0.79 inference('eq_fact', [status(thm)], [zip_derived_cl28])).
% 0.56/0.79 thf(zip_derived_cl6, plain,
% 0.56/0.79 ((~ (equalish @ sk__1 @ sk_) | ~ (equalish @ sk_ @ sk__1))),
% 0.56/0.79 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.56/0.79 thf(zip_derived_cl15, plain,
% 0.56/0.79 (![X0 : $i, X1 : $i]:
% 0.56/0.79 ( (a_member_of @ (sk__2 @ X0 @ X1) @ X1)
% 0.56/0.79 | (a_member_of @ (sk__2 @ X0 @ X1) @ X0)
% 0.56/0.79 | (equalish @ X1 @ X0))),
% 0.56/0.79 inference('dp-resolution', [status(thm)],
% 0.56/0.79 [zip_derived_cl3, zip_derived_cl4])).
% 0.56/0.79 thf(zip_derived_cl20, plain,
% 0.56/0.79 (![X0 : $i]: (~ (a_member_of @ X0 @ sk__1) | (a_member_of @ X0 @ sk_))),
% 0.56/0.79 inference('clc', [status(thm)], [zip_derived_cl18, zip_derived_cl12])).
% 0.56/0.79 thf(zip_derived_cl25, plain,
% 0.56/0.79 (![X0 : $i]:
% 0.56/0.79 ( (equalish @ sk__1 @ X0)
% 0.56/0.79 | (a_member_of @ (sk__2 @ X0 @ sk__1) @ X0)
% 0.56/0.79 | (a_member_of @ (sk__2 @ X0 @ sk__1) @ sk_))),
% 0.56/0.79 inference('s_sup-', [status(thm)], [zip_derived_cl15, zip_derived_cl20])).
% 0.56/0.79 thf(zip_derived_cl19, plain,
% 0.56/0.79 (![X0 : $i]: (~ (a_member_of @ X0 @ sk_) | (a_member_of @ X0 @ sk__1))),
% 0.56/0.79 inference('clc', [status(thm)], [zip_derived_cl17, zip_derived_cl13])).
% 0.56/0.79 thf(zip_derived_cl2, plain,
% 0.56/0.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.56/0.79 ( (zip_tseitin_0 @ X0 @ X1 @ X2)
% 0.56/0.79 | ~ (a_member_of @ X0 @ X1)
% 0.56/0.79 | ~ (a_member_of @ X0 @ X2))),
% 0.56/0.79 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.56/0.79 thf(zip_derived_cl4, plain,
% 0.56/0.79 (![X0 : $i, X1 : $i]:
% 0.56/0.79 ( (equalish @ X0 @ X1)
% 0.56/0.79 | ~ (zip_tseitin_0 @ (sk__2 @ X1 @ X0) @ X1 @ X0))),
% 0.56/0.79 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.56/0.79 thf(zip_derived_cl14, plain,
% 0.56/0.79 (![X0 : $i, X1 : $i]:
% 0.56/0.79 (~ (a_member_of @ (sk__2 @ X0 @ X1) @ X1)
% 0.56/0.79 | ~ (a_member_of @ (sk__2 @ X0 @ X1) @ X0)
% 0.56/0.79 | (equalish @ X1 @ X0))),
% 0.56/0.79 inference('dp-resolution', [status(thm)],
% 0.56/0.79 [zip_derived_cl2, zip_derived_cl4])).
% 0.56/0.79 thf(zip_derived_cl22, plain,
% 0.56/0.79 (![X0 : $i]:
% 0.56/0.79 (~ (a_member_of @ (sk__2 @ X0 @ sk__1) @ sk_)
% 0.56/0.79 | ~ (a_member_of @ (sk__2 @ X0 @ sk__1) @ X0)
% 0.56/0.79 | (equalish @ sk__1 @ X0))),
% 0.56/0.79 inference('s_sup-', [status(thm)], [zip_derived_cl19, zip_derived_cl14])).
% 0.56/0.79 thf(zip_derived_cl44, plain,
% 0.56/0.79 (( (a_member_of @ (sk__2 @ sk_ @ sk__1) @ sk_)
% 0.56/0.79 | (equalish @ sk__1 @ sk_)
% 0.56/0.79 | (equalish @ sk__1 @ sk_))),
% 0.56/0.79 inference('s_sup-', [status(thm)], [zip_derived_cl25, zip_derived_cl22])).
% 0.56/0.79 thf(zip_derived_cl52, plain,
% 0.56/0.79 (( (equalish @ sk__1 @ sk_)
% 0.56/0.79 | (a_member_of @ (sk__2 @ sk_ @ sk__1) @ sk_))),
% 0.56/0.79 inference('simplify', [status(thm)], [zip_derived_cl44])).
% 0.56/0.79 thf(zip_derived_cl22, plain,
% 0.56/0.79 (![X0 : $i]:
% 0.56/0.79 (~ (a_member_of @ (sk__2 @ X0 @ sk__1) @ sk_)
% 0.56/0.79 | ~ (a_member_of @ (sk__2 @ X0 @ sk__1) @ X0)
% 0.56/0.79 | (equalish @ sk__1 @ X0))),
% 0.56/0.79 inference('s_sup-', [status(thm)], [zip_derived_cl19, zip_derived_cl14])).
% 0.56/0.79 thf(zip_derived_cl41, plain,
% 0.56/0.79 (( (equalish @ sk__1 @ sk_)
% 0.56/0.79 | ~ (a_member_of @ (sk__2 @ sk_ @ sk__1) @ sk_))),
% 0.56/0.79 inference('eq_fact', [status(thm)], [zip_derived_cl22])).
% 0.56/0.79 thf(zip_derived_cl70, plain, ( (equalish @ sk__1 @ sk_)),
% 0.56/0.79 inference('clc', [status(thm)], [zip_derived_cl52, zip_derived_cl41])).
% 0.56/0.79 thf(zip_derived_cl71, plain, (~ (equalish @ sk_ @ sk__1)),
% 0.56/0.79 inference('demod', [status(thm)], [zip_derived_cl6, zip_derived_cl70])).
% 0.56/0.79 thf(zip_derived_cl78, plain, ( (a_member_of @ (sk__2 @ sk__1 @ sk_) @ sk_)),
% 0.56/0.79 inference('demod', [status(thm)], [zip_derived_cl64, zip_derived_cl71])).
% 0.56/0.79 thf(zip_derived_cl14, plain,
% 0.56/0.79 (![X0 : $i, X1 : $i]:
% 0.56/0.79 (~ (a_member_of @ (sk__2 @ X0 @ X1) @ X1)
% 0.56/0.79 | ~ (a_member_of @ (sk__2 @ X0 @ X1) @ X0)
% 0.56/0.79 | (equalish @ X1 @ X0))),
% 0.56/0.79 inference('dp-resolution', [status(thm)],
% 0.56/0.79 [zip_derived_cl2, zip_derived_cl4])).
% 0.56/0.79 thf(zip_derived_cl79, plain,
% 0.56/0.79 ((~ (a_member_of @ (sk__2 @ sk__1 @ sk_) @ sk__1)
% 0.56/0.79 | (equalish @ sk_ @ sk__1))),
% 0.56/0.79 inference('s_sup-', [status(thm)], [zip_derived_cl78, zip_derived_cl14])).
% 0.56/0.79 thf(zip_derived_cl71, plain, (~ (equalish @ sk_ @ sk__1)),
% 0.56/0.79 inference('demod', [status(thm)], [zip_derived_cl6, zip_derived_cl70])).
% 0.56/0.79 thf(zip_derived_cl80, plain,
% 0.56/0.79 (~ (a_member_of @ (sk__2 @ sk__1 @ sk_) @ sk__1)),
% 0.56/0.79 inference('demod', [status(thm)], [zip_derived_cl79, zip_derived_cl71])).
% 0.56/0.79 thf(zip_derived_cl81, plain, (~ (a_member_of @ (sk__2 @ sk__1 @ sk_) @ sk_)),
% 0.56/0.79 inference('s_sup-', [status(thm)], [zip_derived_cl19, zip_derived_cl80])).
% 0.56/0.79 thf(zip_derived_cl78, plain, ( (a_member_of @ (sk__2 @ sk__1 @ sk_) @ sk_)),
% 0.56/0.79 inference('demod', [status(thm)], [zip_derived_cl64, zip_derived_cl71])).
% 0.56/0.79 thf(zip_derived_cl83, plain, ($false),
% 0.56/0.79 inference('demod', [status(thm)], [zip_derived_cl81, zip_derived_cl78])).
% 0.56/0.79
% 0.56/0.79 % SZS output end Refutation
% 0.56/0.79
% 0.56/0.79
% 0.56/0.79 % Terminating...
% 0.57/0.84 % Runner terminated.
% 0.57/0.85 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------