%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET960+1 : TPTP v9.2.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.4ElAAjBkLS true
% Computer : n014.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 04:53:14 PM UTC 2025
% Result : Theorem 0.57s 0.81s
% Output : Refutation 0.57s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SET960+1 : TPTP v9.2.0. Released v3.2.0.
% 0.11/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.4ElAAjBkLS true
% 0.13/0.34 % Computer : n014.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Oct 1 13:12:38 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % 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
% 0.13/0.35 % Running in FO mode
% 0.53/0.63 % Total configuration time : 435
% 0.53/0.63 % Estimated wc time : 1092
% 0.53/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.55/0.70 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.56/0.72 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.56/0.75 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.56/0.75 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.56/0.76 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.56/0.76 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.56/0.76 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.57/0.81 % Solved by fo/fo6_bce.sh.
% 0.57/0.81 % BCE start: 20
% 0.57/0.81 % BCE eliminated: 0
% 0.57/0.81 % PE start: 20
% 0.57/0.81 logic: eq
% 0.57/0.81 % PE eliminated: 0
% 0.57/0.81 % done 95 iterations in 0.085s
% 0.57/0.81 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.57/0.81 % SZS output start Refutation
% 0.57/0.81 thf(sk__8_type, type, sk__8: $i).
% 0.57/0.81 thf(ordered_pair_type, type, ordered_pair: $i > $i > $i).
% 0.57/0.81 thf(sk__type, type, sk_: $i > $i).
% 0.57/0.81 thf(sk__5_type, type, sk__5: $i > $i > $i > $i).
% 0.57/0.81 thf(empty_set_type, type, empty_set: $i).
% 0.57/0.81 thf(in_type, type, in: $i > $i > $o).
% 0.57/0.81 thf(zip_tseitin_0_type, type, zip_tseitin_0: $i > $i > $i > $i > $i > $o).
% 0.57/0.81 thf(sk__9_type, type, sk__9: $i).
% 0.57/0.81 thf(sk__4_type, type, sk__4: $i > $i > $i > $i).
% 0.57/0.81 thf(cartesian_product2_type, type, cartesian_product2: $i > $i > $i).
% 0.57/0.81 thf(t113_zfmisc_1, conjecture,
% 0.57/0.81 (![A:$i,B:$i]:
% 0.57/0.81 ( ( ( cartesian_product2 @ A @ B ) = ( empty_set ) ) <=>
% 0.57/0.81 ( ( ( A ) = ( empty_set ) ) | ( ( B ) = ( empty_set ) ) ) ))).
% 0.57/0.81 thf(zf_stmt_0, negated_conjecture,
% 0.57/0.81 (~( ![A:$i,B:$i]:
% 0.57/0.81 ( ( ( cartesian_product2 @ A @ B ) = ( empty_set ) ) <=>
% 0.57/0.81 ( ( ( A ) = ( empty_set ) ) | ( ( B ) = ( empty_set ) ) ) ) )),
% 0.57/0.81 inference('cnf.neg', [status(esa)], [t113_zfmisc_1])).
% 0.57/0.81 thf(zip_derived_cl18, plain,
% 0.57/0.81 ((((sk__8) != (empty_set))
% 0.57/0.81 | ((cartesian_product2 @ sk__8 @ sk__9) != (empty_set)))),
% 0.57/0.81 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.57/0.81 thf(d1_xboole_0, axiom,
% 0.57/0.81 (![A:$i]:
% 0.57/0.81 ( ( ( A ) = ( empty_set ) ) <=> ( ![B:$i]: ( ~( in @ B @ A ) ) ) ))).
% 0.57/0.81 thf(zip_derived_cl3, plain,
% 0.57/0.81 (![X0 : $i]: (((X0) = (empty_set)) | (in @ (sk_ @ X0) @ X0))),
% 0.57/0.81 inference('cnf', [status(esa)], [d1_xboole_0])).
% 0.57/0.81 thf(zip_derived_cl3, plain,
% 0.57/0.81 (![X0 : $i]: (((X0) = (empty_set)) | (in @ (sk_ @ X0) @ X0))),
% 0.57/0.81 inference('cnf', [status(esa)], [d1_xboole_0])).
% 0.57/0.81 thf(zip_derived_cl17, plain,
% 0.57/0.81 ((((sk__9) = (empty_set))
% 0.57/0.81 | ((sk__8) = (empty_set))
% 0.57/0.81 | ((cartesian_product2 @ sk__8 @ sk__9) = (empty_set)))),
% 0.57/0.81 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.57/0.81 thf(d2_zfmisc_1, axiom,
% 0.57/0.81 (![A:$i,B:$i,C:$i]:
% 0.57/0.81 ( ( ( C ) = ( cartesian_product2 @ A @ B ) ) <=>
% 0.57/0.81 ( ![D:$i]:
% 0.57/0.81 ( ( in @ D @ C ) <=>
% 0.57/0.81 ( ?[E:$i,F:$i]:
% 0.57/0.81 ( ( in @ E @ A ) & ( in @ F @ B ) &
% 0.57/0.81 ( ( D ) = ( ordered_pair @ E @ F ) ) ) ) ) ) ))).
% 0.57/0.81 thf(zf_stmt_1, axiom,
% 0.57/0.81 (![F:$i,E:$i,D:$i,B:$i,A:$i]:
% 0.57/0.81 ( ( zip_tseitin_0 @ F @ E @ D @ B @ A ) <=>
% 0.57/0.81 ( ( ( D ) = ( ordered_pair @ E @ F ) ) & ( in @ F @ B ) & ( in @ E @ A ) ) ))).
% 0.57/0.81 thf(zip_derived_cl7, plain,
% 0.57/0.81 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.57/0.81 ( (zip_tseitin_0 @ X0 @ X1 @ X2 @ X3 @ X4)
% 0.57/0.81 | ~ (in @ X1 @ X4)
% 0.57/0.81 | ~ (in @ X0 @ X3)
% 0.57/0.81 | ((X2) != (ordered_pair @ X1 @ X0)))),
% 0.57/0.81 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.57/0.81 thf(zf_stmt_2, type, zip_tseitin_0 : $i > $i > $i > $i > $i > $o).
% 0.57/0.81 thf(zf_stmt_3, axiom,
% 0.57/0.81 (![A:$i,B:$i,C:$i]:
% 0.57/0.81 ( ( ( C ) = ( cartesian_product2 @ A @ B ) ) <=>
% 0.57/0.81 ( ![D:$i]:
% 0.57/0.81 ( ( in @ D @ C ) <=>
% 0.57/0.81 ( ?[E:$i,F:$i]: ( zip_tseitin_0 @ F @ E @ D @ B @ A ) ) ) ) ))).
% 0.57/0.81 thf(zip_derived_cl8, plain,
% 0.57/0.81 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 0.57/0.81 (~ (zip_tseitin_0 @ X0 @ X1 @ X2 @ X3 @ X4)
% 0.57/0.81 | (in @ X2 @ X5)
% 0.57/0.81 | ((X5) != (cartesian_product2 @ X4 @ X3)))),
% 0.57/0.81 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.57/0.81 thf(zip_derived_cl95, plain,
% 0.57/0.81 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 0.57/0.81 (((X2) != (ordered_pair @ X3 @ X4))
% 0.57/0.81 | ~ (in @ X4 @ X1)
% 0.57/0.81 | ~ (in @ X3 @ X0)
% 0.57/0.81 | ((X5) != (cartesian_product2 @ X0 @ X1))
% 0.57/0.81 | (in @ X2 @ X5))),
% 0.57/0.81 inference('dp-resolution', [status(thm)],
% 0.57/0.81 [zip_derived_cl7, zip_derived_cl8])).
% 0.57/0.81 thf(zip_derived_cl208, plain,
% 0.57/0.81 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.57/0.81 ( (in @ (ordered_pair @ X2 @ X1) @ X0)
% 0.57/0.81 | ((X0) != (cartesian_product2 @ X4 @ X3))
% 0.57/0.81 | ~ (in @ X2 @ X4)
% 0.57/0.81 | ~ (in @ X1 @ X3))),
% 0.57/0.81 inference('eq_res', [status(thm)], [zip_derived_cl95])).
% 0.57/0.81 thf(zip_derived_cl464, plain,
% 0.57/0.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.57/0.81 (((sk__8) = (empty_set))
% 0.57/0.81 | ((sk__9) = (empty_set))
% 0.57/0.81 | (in @ (ordered_pair @ X2 @ X1) @ X0)
% 0.57/0.81 | ((X0) != (empty_set))
% 0.57/0.81 | ~ (in @ X2 @ sk__8)
% 0.57/0.81 | ~ (in @ X1 @ sk__9))),
% 0.57/0.81 inference('s_sup-', [status(thm)], [zip_derived_cl17, zip_derived_cl208])).
% 0.57/0.81 thf(zip_derived_cl2, plain,
% 0.57/0.81 (![X0 : $i, X1 : $i]: (~ (in @ X0 @ X1) | ((X1) != (empty_set)))),
% 0.57/0.81 inference('cnf', [status(esa)], [d1_xboole_0])).
% 0.57/0.81 thf(zip_derived_cl494, plain,
% 0.57/0.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.57/0.81 (~ (in @ X1 @ sk__9)
% 0.57/0.81 | ~ (in @ X2 @ sk__8)
% 0.57/0.81 | ((X0) != (empty_set))
% 0.57/0.81 | (in @ (ordered_pair @ X2 @ X1) @ X0)
% 0.57/0.81 | ((sk__9) = (empty_set)))),
% 0.57/0.81 inference('clc', [status(thm)], [zip_derived_cl464, zip_derived_cl2])).
% 0.57/0.81 thf(zip_derived_cl2, plain,
% 0.57/0.81 (![X0 : $i, X1 : $i]: (~ (in @ X0 @ X1) | ((X1) != (empty_set)))),
% 0.57/0.81 inference('cnf', [status(esa)], [d1_xboole_0])).
% 0.57/0.81 thf(zip_derived_cl495, plain,
% 0.57/0.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.57/0.81 (((sk__9) = (empty_set))
% 0.57/0.81 | ((X0) != (empty_set))
% 0.57/0.81 | ~ (in @ X2 @ sk__8)
% 0.57/0.81 | ~ (in @ X1 @ sk__9))),
% 0.57/0.81 inference('clc', [status(thm)], [zip_derived_cl494, zip_derived_cl2])).
% 0.57/0.81 thf(zip_derived_cl2, plain,
% 0.57/0.81 (![X0 : $i, X1 : $i]: (~ (in @ X0 @ X1) | ((X1) != (empty_set)))),
% 0.57/0.81 inference('cnf', [status(esa)], [d1_xboole_0])).
% 0.57/0.81 thf(zip_derived_cl496, plain,
% 0.57/0.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.57/0.81 (~ (in @ X1 @ sk__9) | ~ (in @ X2 @ sk__8) | ((X0) != (empty_set)))),
% 0.57/0.81 inference('clc', [status(thm)], [zip_derived_cl495, zip_derived_cl2])).
% 0.57/0.81 thf(zip_derived_cl497, plain,
% 0.57/0.81 (![X0 : $i, X1 : $i]: (~ (in @ X0 @ sk__8) | ~ (in @ X1 @ sk__9))),
% 0.57/0.81 inference('eq_res', [status(thm)], [zip_derived_cl496])).
% 0.57/0.81 thf(zip_derived_cl498, plain,
% 0.57/0.81 (![X0 : $i]: (((sk__8) = (empty_set)) | ~ (in @ X0 @ sk__9))),
% 0.57/0.81 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl497])).
% 0.57/0.81 thf(zip_derived_cl524, plain,
% 0.57/0.81 ((((sk__9) = (empty_set)) | ((sk__8) = (empty_set)))),
% 0.57/0.81 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl498])).
% 0.57/0.81 thf(zip_derived_cl19, plain,
% 0.57/0.81 ((((sk__9) != (empty_set))
% 0.57/0.81 | ((cartesian_product2 @ sk__8 @ sk__9) != (empty_set)))),
% 0.57/0.81 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.57/0.81 thf(zip_derived_cl531, plain,
% 0.57/0.81 ((((sk__8) = (empty_set))
% 0.57/0.81 | ((empty_set) != (empty_set))
% 0.57/0.81 | ((cartesian_product2 @ sk__8 @ empty_set) != (empty_set)))),
% 0.57/0.81 inference('s_sup-', [status(thm)], [zip_derived_cl524, zip_derived_cl19])).
% 0.57/0.81 thf(zip_derived_cl3, plain,
% 0.57/0.81 (![X0 : $i]: (((X0) = (empty_set)) | (in @ (sk_ @ X0) @ X0))),
% 0.57/0.81 inference('cnf', [status(esa)], [d1_xboole_0])).
% 0.57/0.81 thf(zip_derived_cl9, plain,
% 0.57/0.81 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.57/0.81 (~ (in @ X0 @ X1)
% 0.57/0.81 | (zip_tseitin_0 @ (sk__5 @ X0 @ X2 @ X3) @
% 0.57/0.81 (sk__4 @ X0 @ X2 @ X3) @ X0 @ X2 @ X3)
% 0.57/0.81 | ((X1) != (cartesian_product2 @ X3 @ X2)))),
% 0.57/0.81 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.57/0.81 thf(zip_derived_cl5, plain,
% 0.57/0.81 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.57/0.81 ( (in @ X0 @ X1) | ~ (zip_tseitin_0 @ X0 @ X2 @ X3 @ X1 @ X4))),
% 0.57/0.81 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.57/0.81 thf(zip_derived_cl90, plain,
% 0.57/0.81 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.57/0.81 (((X0) != (cartesian_product2 @ X2 @ X3))
% 0.57/0.81 | ~ (in @ X1 @ X0)
% 0.57/0.81 | (in @ (sk__5 @ X1 @ X3 @ X2) @ X3))),
% 0.57/0.81 inference('dp-resolution', [status(thm)],
% 0.57/0.81 [zip_derived_cl9, zip_derived_cl5])).
% 0.57/0.81 thf(zip_derived_cl102, plain,
% 0.57/0.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.57/0.81 ( (in @ (sk__5 @ X2 @ X0 @ X1) @ X0)
% 0.57/0.81 | ~ (in @ X2 @ (cartesian_product2 @ X1 @ X0)))),
% 0.57/0.81 inference('eq_res', [status(thm)], [zip_derived_cl90])).
% 0.57/0.81 thf(zip_derived_cl2, plain,
% 0.57/0.81 (![X0 : $i, X1 : $i]: (~ (in @ X0 @ X1) | ((X1) != (empty_set)))),
% 0.57/0.81 inference('cnf', [status(esa)], [d1_xboole_0])).
% 0.57/0.81 thf(zip_derived_cl98, plain, (![X0 : $i]: ~ (in @ X0 @ empty_set)),
% 0.57/0.81 inference('eq_res', [status(thm)], [zip_derived_cl2])).
% 0.57/0.81 thf(zip_derived_cl115, plain,
% 0.57/0.81 (![X0 : $i, X1 : $i]: ~ (in @ X1 @ (cartesian_product2 @ X0 @ empty_set))),
% 0.57/0.81 inference('s_sup-', [status(thm)], [zip_derived_cl102, zip_derived_cl98])).
% 0.57/0.81 thf(zip_derived_cl116, plain,
% 0.57/0.81 (![X0 : $i]: ((cartesian_product2 @ X0 @ empty_set) = (empty_set))),
% 0.57/0.81 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl115])).
% 0.57/0.81 thf(zip_derived_cl533, plain,
% 0.57/0.81 ((((sk__8) = (empty_set))
% 0.57/0.81 | ((empty_set) != (empty_set))
% 0.57/0.81 | ((empty_set) != (empty_set)))),
% 0.57/0.81 inference('demod', [status(thm)], [zip_derived_cl531, zip_derived_cl116])).
% 0.57/0.81 thf(zip_derived_cl534, plain, (((sk__8) = (empty_set))),
% 0.57/0.81 inference('simplify', [status(thm)], [zip_derived_cl533])).
% 0.57/0.81 thf(zip_derived_cl534, plain, (((sk__8) = (empty_set))),
% 0.57/0.81 inference('simplify', [status(thm)], [zip_derived_cl533])).
% 0.57/0.81 thf(zip_derived_cl3, plain,
% 0.57/0.81 (![X0 : $i]: (((X0) = (empty_set)) | (in @ (sk_ @ X0) @ X0))),
% 0.57/0.81 inference('cnf', [status(esa)], [d1_xboole_0])).
% 0.57/0.81 thf(zip_derived_cl9, plain,
% 0.57/0.81 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.57/0.81 (~ (in @ X0 @ X1)
% 0.57/0.81 | (zip_tseitin_0 @ (sk__5 @ X0 @ X2 @ X3) @
% 0.57/0.81 (sk__4 @ X0 @ X2 @ X3) @ X0 @ X2 @ X3)
% 0.57/0.81 | ((X1) != (cartesian_product2 @ X3 @ X2)))),
% 0.57/0.81 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.57/0.81 thf(zip_derived_cl6, plain,
% 0.57/0.81 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.57/0.81 ( (in @ X0 @ X1) | ~ (zip_tseitin_0 @ X2 @ X0 @ X3 @ X4 @ X1))),
% 0.57/0.81 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.57/0.81 thf(zip_derived_cl91, plain,
% 0.57/0.81 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.57/0.81 (((X0) != (cartesian_product2 @ X2 @ X3))
% 0.57/0.81 | ~ (in @ X1 @ X0)
% 0.57/0.81 | (in @ (sk__4 @ X1 @ X3 @ X2) @ X2))),
% 0.57/0.81 inference('dp-resolution', [status(thm)],
% 0.57/0.81 [zip_derived_cl9, zip_derived_cl6])).
% 0.57/0.81 thf(zip_derived_cl104, plain,
% 0.57/0.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.57/0.81 ( (in @ (sk__4 @ X2 @ X1 @ X0) @ X0)
% 0.57/0.81 | ~ (in @ X2 @ (cartesian_product2 @ X0 @ X1)))),
% 0.57/0.81 inference('eq_res', [status(thm)], [zip_derived_cl91])).
% 0.57/0.81 thf(zip_derived_cl98, plain, (![X0 : $i]: ~ (in @ X0 @ empty_set)),
% 0.57/0.81 inference('eq_res', [status(thm)], [zip_derived_cl2])).
% 0.57/0.81 thf(zip_derived_cl140, plain,
% 0.57/0.81 (![X0 : $i, X1 : $i]: ~ (in @ X1 @ (cartesian_product2 @ empty_set @ X0))),
% 0.57/0.81 inference('s_sup-', [status(thm)], [zip_derived_cl104, zip_derived_cl98])).
% 0.57/0.81 thf(zip_derived_cl154, plain,
% 0.57/0.81 (![X0 : $i]: ((cartesian_product2 @ empty_set @ X0) = (empty_set))),
% 0.57/0.81 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl140])).
% 0.57/0.81 thf(zip_derived_cl536, plain,
% 0.57/0.81 ((((empty_set) != (empty_set)) | ((empty_set) != (empty_set)))),
% 0.57/0.81 inference('demod', [status(thm)],
% 0.57/0.81 [zip_derived_cl18, zip_derived_cl534, zip_derived_cl534,
% 0.57/0.81 zip_derived_cl154])).
% 0.57/0.81 thf(zip_derived_cl537, plain, ($false),
% 0.57/0.81 inference('simplify', [status(thm)], [zip_derived_cl536])).
% 0.57/0.81
% 0.57/0.81 % SZS output end Refutation
% 0.57/0.81
% 0.57/0.81
% 0.57/0.81 % Terminating...
% 0.57/0.84 % Runner terminated.
% 1.70/0.86 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------