%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET903+1 : TPTP v9.2.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.eycHfl6ScH true
% Computer : n019.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 04:53:07 PM UTC 2025
% Result : Theorem 0.60s 0.81s
% Output : Refutation 0.60s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14 % Problem : SET903+1 : TPTP v9.2.0. Released v3.2.0.
% 0.07/0.15 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.eycHfl6ScH true
% 0.15/0.36 % Computer : n019.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Wed Oct 1 13:04:38 EDT 2025
% 0.15/0.37 % CPUTime :
% 0.15/0.37 % Running portfolio for 300 s
% 0.15/0.37 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.37 % Number of cores: 8
% 0.15/0.37 % Python version: Python 3.6.8
% 0.15/0.37 % Running in FO mode
% 0.57/0.70 % Total configuration time : 435
% 0.57/0.70 % Estimated wc time : 1092
% 0.57/0.70 % Estimated cpu time (7 cpus) : 156.0
% 0.59/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.59/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.59/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.59/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.59/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.59/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.60/0.81 % Solved by fo/fo6_bce.sh.
% 0.60/0.81 % BCE start: 18
% 0.60/0.81 % BCE eliminated: 0
% 0.60/0.81 % PE start: 18
% 0.60/0.81 logic: eq
% 0.60/0.81 % PE eliminated: 1
% 0.60/0.81 % done 32 iterations in 0.021s
% 0.60/0.81 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.60/0.81 % SZS output start Refutation
% 0.60/0.81 thf(sk__3_type, type, sk__3: $i).
% 0.60/0.81 thf(zip_tseitin_2_type, type, zip_tseitin_2: $i > $i > $i > $o).
% 0.60/0.81 thf(set_union2_type, type, set_union2: $i > $i > $i).
% 0.60/0.81 thf(zip_tseitin_1_type, type, zip_tseitin_1: $i > $i > $i > $o).
% 0.60/0.81 thf(sk__2_type, type, sk__2: $i).
% 0.60/0.81 thf(singleton_type, type, singleton: $i > $i).
% 0.60/0.81 thf(zip_tseitin_0_type, type, zip_tseitin_0: $i > $i > $i > $o).
% 0.60/0.81 thf(sk__4_type, type, sk__4: $i).
% 0.60/0.81 thf(empty_set_type, type, empty_set: $i).
% 0.60/0.81 thf(t44_zfmisc_1, conjecture,
% 0.60/0.81 (![A:$i,B:$i,C:$i]:
% 0.60/0.81 ( ~( ( ( singleton @ A ) = ( set_union2 @ B @ C ) ) &
% 0.60/0.81 ( ( B ) != ( C ) ) & ( ( B ) != ( empty_set ) ) &
% 0.60/0.81 ( ( C ) != ( empty_set ) ) ) ))).
% 0.60/0.81 thf(zf_stmt_0, negated_conjecture,
% 0.60/0.81 (~( ![A:$i,B:$i,C:$i]:
% 0.60/0.81 ( ~( ( ( singleton @ A ) = ( set_union2 @ B @ C ) ) &
% 0.60/0.81 ( ( B ) != ( C ) ) & ( ( B ) != ( empty_set ) ) &
% 0.60/0.81 ( ( C ) != ( empty_set ) ) ) ) )),
% 0.60/0.81 inference('cnf.neg', [status(esa)], [t44_zfmisc_1])).
% 0.60/0.81 thf(zip_derived_cl14, plain,
% 0.60/0.81 (((singleton @ sk__2) = (set_union2 @ sk__3 @ sk__4))),
% 0.60/0.81 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.60/0.81 thf(t43_zfmisc_1, axiom,
% 0.60/0.81 (![A:$i,B:$i,C:$i]:
% 0.60/0.81 ( ~( ( ~( ( ( C ) = ( empty_set ) ) & ( ( B ) = ( singleton @ A ) ) ) ) &
% 0.60/0.81 ( ~( ( ( C ) = ( singleton @ A ) ) & ( ( B ) = ( empty_set ) ) ) ) &
% 0.60/0.81 ( ~( ( ( C ) = ( singleton @ A ) ) & ( ( B ) = ( singleton @ A ) ) ) ) &
% 0.60/0.81 ( ( singleton @ A ) = ( set_union2 @ B @ C ) ) ) ))).
% 0.60/0.81 thf(zf_stmt_1, type, zip_tseitin_2 : $i > $i > $i > $o).
% 0.60/0.81 thf(zf_stmt_2, axiom,
% 0.60/0.81 (![C:$i,B:$i,A:$i]:
% 0.60/0.81 ( ( zip_tseitin_2 @ C @ B @ A ) =>
% 0.60/0.81 ( ( ( B ) = ( singleton @ A ) ) & ( ( C ) = ( singleton @ A ) ) ) ))).
% 0.60/0.81 thf(zf_stmt_3, type, zip_tseitin_1 : $i > $i > $i > $o).
% 0.60/0.81 thf(zf_stmt_4, axiom,
% 0.60/0.81 (![C:$i,B:$i,A:$i]:
% 0.60/0.81 ( ( zip_tseitin_1 @ C @ B @ A ) =>
% 0.60/0.81 ( ( ( B ) = ( empty_set ) ) & ( ( C ) = ( singleton @ A ) ) ) ))).
% 0.60/0.81 thf(zf_stmt_5, type, zip_tseitin_0 : $i > $i > $i > $o).
% 0.60/0.81 thf(zf_stmt_6, axiom,
% 0.60/0.81 (![C:$i,B:$i,A:$i]:
% 0.60/0.81 ( ( zip_tseitin_0 @ C @ B @ A ) =>
% 0.60/0.81 ( ( ( B ) = ( singleton @ A ) ) & ( ( C ) = ( empty_set ) ) ) ))).
% 0.60/0.81 thf(zf_stmt_7, axiom,
% 0.60/0.81 (![A:$i,B:$i,C:$i]:
% 0.60/0.81 ( ~( ( ( singleton @ A ) = ( set_union2 @ B @ C ) ) &
% 0.60/0.81 ( ~( zip_tseitin_2 @ C @ B @ A ) ) &
% 0.60/0.81 ( ~( zip_tseitin_1 @ C @ B @ A ) ) &
% 0.60/0.81 ( ~( zip_tseitin_0 @ C @ B @ A ) ) ) ))).
% 0.60/0.81 thf(zip_derived_cl13, plain,
% 0.60/0.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.60/0.81 (((singleton @ X2) != (set_union2 @ X0 @ X1))
% 0.60/0.81 | (zip_tseitin_2 @ X1 @ X0 @ X2)
% 0.60/0.81 | (zip_tseitin_1 @ X1 @ X0 @ X2)
% 0.60/0.81 | (zip_tseitin_0 @ X1 @ X0 @ X2))),
% 0.60/0.81 inference('cnf', [status(esa)], [zf_stmt_7])).
% 0.60/0.81 thf(zip_derived_cl7, plain,
% 0.60/0.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.60/0.81 (((X1) = (singleton @ X0)) | ~ (zip_tseitin_0 @ X2 @ X1 @ X0))),
% 0.60/0.81 inference('cnf', [status(esa)], [zf_stmt_6])).
% 0.60/0.81 thf(zip_derived_cl50, plain,
% 0.60/0.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.60/0.81 ( (zip_tseitin_1 @ X1 @ X2 @ X0)
% 0.60/0.81 | (zip_tseitin_2 @ X1 @ X2 @ X0)
% 0.60/0.81 | ((singleton @ X0) != (set_union2 @ X2 @ X1))
% 0.60/0.81 | ((X2) = (singleton @ X0)))),
% 0.60/0.81 inference('dp-resolution', [status(thm)],
% 0.60/0.81 [zip_derived_cl13, zip_derived_cl7])).
% 0.60/0.81 thf(zip_derived_cl11, plain,
% 0.60/0.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.60/0.81 (((X1) = (singleton @ X0)) | ~ (zip_tseitin_2 @ X2 @ X1 @ X0))),
% 0.60/0.81 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.60/0.81 thf(zip_derived_cl68, plain,
% 0.60/0.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.60/0.81 (((X2) = (singleton @ X0))
% 0.60/0.81 | ((singleton @ X0) != (set_union2 @ X2 @ X1))
% 0.60/0.81 | (zip_tseitin_1 @ X1 @ X2 @ X0))),
% 0.60/0.81 inference('clc', [status(thm)], [zip_derived_cl50, zip_derived_cl11])).
% 0.60/0.81 thf(zip_derived_cl9, plain,
% 0.60/0.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.60/0.81 (((X0) = (empty_set)) | ~ (zip_tseitin_1 @ X1 @ X0 @ X2))),
% 0.60/0.81 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.60/0.81 thf(zip_derived_cl69, plain,
% 0.60/0.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.60/0.81 (((singleton @ X0) != (set_union2 @ X1 @ X2))
% 0.60/0.81 | ((X1) = (singleton @ X0))
% 0.60/0.81 | ((X1) = (empty_set)))),
% 0.60/0.81 inference('s_sup-', [status(thm)], [zip_derived_cl68, zip_derived_cl9])).
% 0.60/0.81 thf(zip_derived_cl71, plain,
% 0.60/0.81 (![X0 : $i, X1 : $i]:
% 0.60/0.81 (((set_union2 @ sk__3 @ sk__4) != (set_union2 @ X1 @ X0))
% 0.60/0.81 | ((X1) = (set_union2 @ sk__3 @ sk__4))
% 0.60/0.81 | ((X1) = (empty_set)))),
% 0.60/0.81 inference('s_sup-', [status(thm)], [zip_derived_cl14, zip_derived_cl69])).
% 0.60/0.81 thf(zip_derived_cl84, plain,
% 0.60/0.81 ((((sk__3) = (empty_set)) | ((sk__3) = (set_union2 @ sk__3 @ sk__4)))),
% 0.60/0.81 inference('eq_res', [status(thm)], [zip_derived_cl71])).
% 0.60/0.81 thf(zip_derived_cl17, plain, (((sk__3) != (empty_set))),
% 0.60/0.81 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.60/0.81 thf(zip_derived_cl85, plain, (((sk__3) = (set_union2 @ sk__3 @ sk__4))),
% 0.60/0.81 inference('simplify_reflect-', [status(thm)],
% 0.60/0.81 [zip_derived_cl84, zip_derived_cl17])).
% 0.60/0.81 thf(zip_derived_cl14, plain,
% 0.60/0.81 (((singleton @ sk__2) = (set_union2 @ sk__3 @ sk__4))),
% 0.60/0.81 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.60/0.81 thf(zip_derived_cl85, plain, (((sk__3) = (set_union2 @ sk__3 @ sk__4))),
% 0.60/0.81 inference('simplify_reflect-', [status(thm)],
% 0.60/0.81 [zip_derived_cl84, zip_derived_cl17])).
% 0.60/0.81 thf(zip_derived_cl86, plain, (((singleton @ sk__2) = (sk__3))),
% 0.60/0.81 inference('demod', [status(thm)], [zip_derived_cl14, zip_derived_cl85])).
% 0.60/0.81 thf(commutativity_k2_xboole_0, axiom,
% 0.60/0.81 (![A:$i,B:$i]: ( ( set_union2 @ A @ B ) = ( set_union2 @ B @ A ) ))).
% 0.60/0.81 thf(zip_derived_cl0, plain,
% 0.60/0.81 (![X0 : $i, X1 : $i]: ((set_union2 @ X1 @ X0) = (set_union2 @ X0 @ X1))),
% 0.60/0.81 inference('cnf', [status(esa)], [commutativity_k2_xboole_0])).
% 0.60/0.81 thf(zip_derived_cl69, plain,
% 0.60/0.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.60/0.81 (((singleton @ X0) != (set_union2 @ X1 @ X2))
% 0.60/0.81 | ((X1) = (singleton @ X0))
% 0.60/0.81 | ((X1) = (empty_set)))),
% 0.60/0.81 inference('s_sup-', [status(thm)], [zip_derived_cl68, zip_derived_cl9])).
% 0.60/0.81 thf(zip_derived_cl72, plain,
% 0.60/0.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.60/0.81 (((singleton @ X2) != (set_union2 @ X1 @ X0))
% 0.60/0.81 | ((X0) = (singleton @ X2))
% 0.60/0.81 | ((X0) = (empty_set)))),
% 0.60/0.81 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl69])).
% 0.60/0.81 thf(zip_derived_cl96, plain,
% 0.60/0.81 (![X0 : $i, X1 : $i]:
% 0.60/0.81 (((sk__3) != (set_union2 @ X1 @ X0))
% 0.60/0.81 | ((X0) = (sk__3))
% 0.60/0.81 | ((X0) = (empty_set)))),
% 0.60/0.81 inference('s_sup-', [status(thm)], [zip_derived_cl86, zip_derived_cl72])).
% 0.60/0.81 thf(zip_derived_cl105, plain,
% 0.60/0.81 ((((sk__3) != (sk__3)) | ((sk__4) = (sk__3)) | ((sk__4) = (empty_set)))),
% 0.60/0.81 inference('s_sup-', [status(thm)], [zip_derived_cl85, zip_derived_cl96])).
% 0.60/0.81 thf(zip_derived_cl106, plain,
% 0.60/0.81 ((((sk__4) = (empty_set)) | ((sk__4) = (sk__3)))),
% 0.60/0.81 inference('simplify', [status(thm)], [zip_derived_cl105])).
% 0.60/0.81 thf(zip_derived_cl15, plain, (((sk__3) != (sk__4))),
% 0.60/0.81 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.60/0.81 thf(zip_derived_cl16, plain, (((sk__4) != (empty_set))),
% 0.60/0.81 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.60/0.81 thf(zip_derived_cl107, plain, ($false),
% 0.60/0.81 inference('simplify_reflect-', [status(thm)],
% 0.60/0.81 [zip_derived_cl106, zip_derived_cl15, zip_derived_cl16])).
% 0.60/0.81
% 0.60/0.81 % SZS output end Refutation
% 0.60/0.81
% 0.60/0.81
% 0.60/0.81 % Terminating...
% 1.42/0.88 % Runner terminated.
% 1.42/0.89 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------