%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET766+4 : TPTP v9.2.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.h9b2Om7KFg 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 04:52:48 PM UTC 2025
% Result : Theorem 5.01s 1.36s
% Output : Refutation 5.01s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SET766+4 : TPTP v9.2.0. Released v2.2.0.
% 0.03/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.h9b2Om7KFg true
% 0.14/0.35 % Computer : n008.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 : Wed Oct 1 13:10:23 EDT 2025
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % Running portfolio for 300 s
% 0.14/0.36 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.36 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.22/0.36 % Running in FO mode
% 0.56/0.67 % Total configuration time : 435
% 0.56/0.67 % Estimated wc time : 1092
% 0.56/0.67 % Estimated cpu time (7 cpus) : 156.0
% 0.57/0.73 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.57/0.75 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.58/0.77 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.58/0.78 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.58/0.79 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.58/0.80 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.58/0.82 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 5.01/1.36 % Solved by fo/fo6_bce.sh.
% 5.01/1.36 % BCE start: 105
% 5.01/1.36 % BCE eliminated: 0
% 5.01/1.36 % PE start: 105
% 5.01/1.36 logic: eq
% 5.01/1.36 % PE eliminated: 20
% 5.01/1.36 % done 256 iterations in 0.585s
% 5.01/1.36 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 5.01/1.36 % SZS output start Refutation
% 5.01/1.36 thf(member_type, type, member: $i > $i > $o).
% 5.01/1.36 thf(sk__22_type, type, sk__22: $i).
% 5.01/1.36 thf(zip_tseitin_10_type, type, zip_tseitin_10: $i > $i > $i > $o).
% 5.01/1.36 thf(zip_tseitin_13_type, type, zip_tseitin_13: $i > $i > $i > $o).
% 5.01/1.36 thf(equivalence_class_type, type, equivalence_class: $i > $i > $i > $i).
% 5.01/1.36 thf(apply_type, type, apply: $i > $i > $i > $o).
% 5.01/1.36 thf(zip_tseitin_8_type, type, zip_tseitin_8: $i > $i > $i > $i > $o).
% 5.01/1.36 thf(zip_tseitin_7_type, type, zip_tseitin_7: $i > $i > $i > $i > $o).
% 5.01/1.36 thf(sk__21_type, type, sk__21: $i).
% 5.01/1.36 thf(zip_tseitin_9_type, type, zip_tseitin_9: $i > $i > $i > $i > $i > $o).
% 5.01/1.36 thf(sk__20_type, type, sk__20: $i).
% 5.01/1.36 thf(equivalence_type, type, equivalence: $i > $i > $o).
% 5.01/1.36 thf(zip_tseitin_11_type, type, zip_tseitin_11: $i > $i > $i > $o).
% 5.01/1.36 thf(zip_tseitin_6_type, type, zip_tseitin_6: $i > $i > $i > $i > $o).
% 5.01/1.36 thf(zip_tseitin_12_type, type, zip_tseitin_12: $i > $i > $i > $i > $o).
% 5.01/1.36 thf(thIII02, conjecture,
% 5.01/1.36 (![E:$i,R:$i,A:$i]:
% 5.01/1.36 ( ( ( equivalence @ R @ E ) & ( member @ A @ E ) ) =>
% 5.01/1.36 ( member @ A @ ( equivalence_class @ A @ E @ R ) ) ))).
% 5.01/1.36 thf(zf_stmt_0, negated_conjecture,
% 5.01/1.36 (~( ![E:$i,R:$i,A:$i]:
% 5.01/1.36 ( ( ( equivalence @ R @ E ) & ( member @ A @ E ) ) =>
% 5.01/1.36 ( member @ A @ ( equivalence_class @ A @ E @ R ) ) ) )),
% 5.01/1.36 inference('cnf.neg', [status(esa)], [thIII02])).
% 5.01/1.36 thf(zip_derived_cl104, plain, ( (equivalence @ sk__21 @ sk__20)),
% 5.01/1.36 inference('cnf', [status(esa)], [zf_stmt_0])).
% 5.01/1.36 thf(equivalence, axiom,
% 5.01/1.36 (![A:$i,R:$i]:
% 5.01/1.36 ( ( equivalence @ R @ A ) <=>
% 5.01/1.36 ( ( ![X:$i,Y:$i,Z:$i]:
% 5.01/1.36 ( ( ( member @ Z @ A ) & ( member @ Y @ A ) & ( member @ X @ A ) ) =>
% 5.01/1.36 ( ( ( apply @ R @ Y @ Z ) & ( apply @ R @ X @ Y ) ) =>
% 5.01/1.36 ( apply @ R @ X @ Z ) ) ) ) &
% 5.01/1.36 ( ![X:$i,Y:$i]:
% 5.01/1.36 ( ( ( member @ Y @ A ) & ( member @ X @ A ) ) =>
% 5.01/1.36 ( ( apply @ R @ X @ Y ) => ( apply @ R @ Y @ X ) ) ) ) &
% 5.01/1.36 ( ![X:$i]: ( ( member @ X @ A ) => ( apply @ R @ X @ X ) ) ) ) ))).
% 5.01/1.36 thf(zf_stmt_1, type, zip_tseitin_13 : $i > $i > $i > $o).
% 5.01/1.36 thf(zf_stmt_2, axiom,
% 5.01/1.36 (![X:$i,R:$i,A:$i]:
% 5.01/1.36 ( ( zip_tseitin_13 @ X @ R @ A ) <=>
% 5.01/1.36 ( ( member @ X @ A ) => ( apply @ R @ X @ X ) ) ))).
% 5.01/1.36 thf(zf_stmt_3, type, zip_tseitin_12 : $i > $i > $i > $i > $o).
% 5.01/1.36 thf(zf_stmt_4, axiom,
% 5.01/1.36 (![Y:$i,X:$i,R:$i,A:$i]:
% 5.01/1.36 ( ( zip_tseitin_12 @ Y @ X @ R @ A ) <=>
% 5.01/1.36 ( ( zip_tseitin_10 @ Y @ X @ A ) => ( zip_tseitin_11 @ Y @ X @ R ) ) ))).
% 5.01/1.36 thf(zf_stmt_5, type, zip_tseitin_11 : $i > $i > $i > $o).
% 5.01/1.36 thf(zf_stmt_6, axiom,
% 5.01/1.36 (![Y:$i,X:$i,R:$i]:
% 5.01/1.36 ( ( zip_tseitin_11 @ Y @ X @ R ) <=>
% 5.01/1.36 ( ( apply @ R @ X @ Y ) => ( apply @ R @ Y @ X ) ) ))).
% 5.01/1.36 thf(zf_stmt_7, type, zip_tseitin_10 : $i > $i > $i > $o).
% 5.01/1.36 thf(zf_stmt_8, axiom,
% 5.01/1.36 (![Y:$i,X:$i,A:$i]:
% 5.01/1.36 ( ( zip_tseitin_10 @ Y @ X @ A ) <=>
% 5.01/1.36 ( ( member @ X @ A ) & ( member @ Y @ A ) ) ))).
% 5.01/1.36 thf(zf_stmt_9, type, zip_tseitin_9 : $i > $i > $i > $i > $i > $o).
% 5.01/1.36 thf(zf_stmt_10, axiom,
% 5.01/1.36 (![Z:$i,Y:$i,X:$i,R:$i,A:$i]:
% 5.01/1.36 ( ( zip_tseitin_9 @ Z @ Y @ X @ R @ A ) <=>
% 5.01/1.36 ( ( zip_tseitin_6 @ Z @ Y @ X @ A ) => ( zip_tseitin_8 @ Z @ Y @ X @ R ) ) ))).
% 5.01/1.36 thf(zf_stmt_11, type, zip_tseitin_8 : $i > $i > $i > $i > $o).
% 5.01/1.36 thf(zf_stmt_12, axiom,
% 5.01/1.36 (![Z:$i,Y:$i,X:$i,R:$i]:
% 5.01/1.36 ( ( zip_tseitin_8 @ Z @ Y @ X @ R ) <=>
% 5.01/1.36 ( ( zip_tseitin_7 @ Z @ Y @ X @ R ) => ( apply @ R @ X @ Z ) ) ))).
% 5.01/1.36 thf(zf_stmt_13, type, zip_tseitin_7 : $i > $i > $i > $i > $o).
% 5.01/1.36 thf(zf_stmt_14, axiom,
% 5.01/1.36 (![Z:$i,Y:$i,X:$i,R:$i]:
% 5.01/1.36 ( ( zip_tseitin_7 @ Z @ Y @ X @ R ) <=>
% 5.01/1.36 ( ( apply @ R @ X @ Y ) & ( apply @ R @ Y @ Z ) ) ))).
% 5.01/1.36 thf(zf_stmt_15, type, zip_tseitin_6 : $i > $i > $i > $i > $o).
% 5.01/1.36 thf(zf_stmt_16, axiom,
% 5.01/1.36 (![Z:$i,Y:$i,X:$i,A:$i]:
% 5.01/1.36 ( ( zip_tseitin_6 @ Z @ Y @ X @ A ) <=>
% 5.01/1.36 ( ( member @ X @ A ) & ( member @ Y @ A ) & ( member @ Z @ A ) ) ))).
% 5.01/1.36 thf(zf_stmt_17, axiom,
% 5.01/1.36 (![A:$i,R:$i]:
% 5.01/1.36 ( ( equivalence @ R @ A ) <=>
% 5.01/1.36 ( ( ![X:$i]: ( zip_tseitin_13 @ X @ R @ A ) ) &
% 5.01/1.36 ( ![X:$i,Y:$i]: ( zip_tseitin_12 @ Y @ X @ R @ A ) ) &
% 5.01/1.36 ( ![X:$i,Y:$i,Z:$i]: ( zip_tseitin_9 @ Z @ Y @ X @ R @ A ) ) ) ))).
% 5.01/1.36 thf(zip_derived_cl80, plain,
% 5.01/1.36 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.01/1.36 ( (zip_tseitin_13 @ X0 @ X1 @ X2) | ~ (equivalence @ X1 @ X2))),
% 5.01/1.36 inference('cnf', [status(esa)], [zf_stmt_17])).
% 5.01/1.36 thf(zip_derived_cl77, plain,
% 5.01/1.36 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.01/1.36 (~ (member @ X0 @ X1)
% 5.01/1.36 | (apply @ X2 @ X0 @ X0)
% 5.01/1.36 | ~ (zip_tseitin_13 @ X0 @ X2 @ X1))),
% 5.01/1.36 inference('cnf', [status(esa)], [zf_stmt_2])).
% 5.01/1.36 thf(zip_derived_cl640, plain,
% 5.01/1.36 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.01/1.36 (~ (equivalence @ X1 @ X0)
% 5.01/1.36 | (apply @ X1 @ X2 @ X2)
% 5.01/1.36 | ~ (member @ X2 @ X0))),
% 5.01/1.36 inference('dp-resolution', [status(thm)],
% 5.01/1.36 [zip_derived_cl80, zip_derived_cl77])).
% 5.01/1.36 thf(zip_derived_cl1304, plain,
% 5.01/1.36 (![X0 : $i]: ( (apply @ sk__21 @ X0 @ X0) | ~ (member @ X0 @ sk__20))),
% 5.01/1.36 inference('s_sup-', [status(thm)], [zip_derived_cl104, zip_derived_cl640])).
% 5.01/1.36 thf(equivalence_class, axiom,
% 5.01/1.36 (![R:$i,E:$i,A:$i,X:$i]:
% 5.01/1.36 ( ( member @ X @ ( equivalence_class @ A @ E @ R ) ) <=>
% 5.01/1.36 ( ( member @ X @ E ) & ( apply @ R @ A @ X ) ) ))).
% 5.01/1.36 thf(zip_derived_cl86, plain,
% 5.01/1.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 5.01/1.36 ( (member @ X0 @ (equivalence_class @ X1 @ X2 @ X3))
% 5.01/1.36 | ~ (apply @ X3 @ X1 @ X0)
% 5.01/1.36 | ~ (member @ X0 @ X2))),
% 5.01/1.36 inference('cnf', [status(esa)], [equivalence_class])).
% 5.01/1.36 thf(zip_derived_cl102, plain,
% 5.01/1.36 (~ (member @ sk__22 @ (equivalence_class @ sk__22 @ sk__20 @ sk__21))),
% 5.01/1.36 inference('cnf', [status(esa)], [zf_stmt_0])).
% 5.01/1.36 thf(zip_derived_cl1042, plain,
% 5.01/1.36 ((~ (member @ sk__22 @ sk__20) | ~ (apply @ sk__21 @ sk__22 @ sk__22))),
% 5.01/1.36 inference('s_sup-', [status(thm)], [zip_derived_cl86, zip_derived_cl102])).
% 5.01/1.36 thf(zip_derived_cl103, plain, ( (member @ sk__22 @ sk__20)),
% 5.01/1.36 inference('cnf', [status(esa)], [zf_stmt_0])).
% 5.01/1.36 thf(zip_derived_cl1043, plain, (~ (apply @ sk__21 @ sk__22 @ sk__22)),
% 5.01/1.36 inference('demod', [status(thm)], [zip_derived_cl1042, zip_derived_cl103])).
% 5.01/1.36 thf(zip_derived_cl2308, plain, (~ (member @ sk__22 @ sk__20)),
% 5.01/1.36 inference('s_sup-', [status(thm)],
% 5.01/1.36 [zip_derived_cl1304, zip_derived_cl1043])).
% 5.01/1.36 thf(zip_derived_cl103, plain, ( (member @ sk__22 @ sk__20)),
% 5.01/1.36 inference('cnf', [status(esa)], [zf_stmt_0])).
% 5.01/1.36 thf(zip_derived_cl2311, plain, ($false),
% 5.01/1.36 inference('demod', [status(thm)], [zip_derived_cl2308, zip_derived_cl103])).
% 5.01/1.36
% 5.01/1.36 % SZS output end Refutation
% 5.01/1.36
% 5.01/1.36
% 5.01/1.36 % Terminating...
% 5.43/1.47 % Runner terminated.
% 5.47/1.49 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------