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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU165+2 : TPTP v9.2.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.KrZ0Nx4514 true

% Computer : n006.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 04:53:41 PM UTC 2025

% Result   : Theorem 1.34s 2.11s
% Output   : Refutation 1.34s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.89  % Problem  : SEU165+2 : TPTP v9.2.0. Released v3.3.0.
% 0.10/0.90  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.KrZ0Nx4514 true
% 0.14/1.10  % Computer : n006.cluster.edu
% 0.14/1.10  % Model    : x86_64 x86_64
% 0.14/1.10  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/1.10  % Memory   : 8042.1875MB
% 0.14/1.10  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/1.10  % CPULimit : 300
% 0.14/1.10  % WCLimit  : 300
% 0.14/1.10  % DateTime : Wed Oct  1 16:05:54 EDT 2025
% 0.14/1.11  % CPUTime  : 
% 0.14/1.11  % Running portfolio for 300 s
% 0.14/1.11  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/1.11  % Number of cores: 8
% 0.14/1.11  % Python version: Python 3.6.8
% 0.14/1.11  % Running in FO mode
% 0.18/1.43  % Total configuration time : 435
% 0.18/1.43  % Estimated wc time : 1092
% 0.18/1.43  % Estimated cpu time (7 cpus) : 156.0
% 0.18/1.57  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 1.31/1.65  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 1.31/1.65  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 1.31/1.66  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 1.31/1.68  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 1.31/1.70  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.31/1.71  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.34/2.11  % Solved by fo/fo4.sh.
% 1.34/2.11  % done 170 iterations in 0.296s
% 1.34/2.11  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.34/2.11  % SZS output start Refutation
% 1.34/2.11  thf(sk__11_type, type, sk__11: $i).
% 1.34/2.11  thf(sk__10_type, type, sk__10: $i).
% 1.34/2.11  thf(in_type, type, in: $i > $i > $o).
% 1.34/2.11  thf(zip_tseitin_0_type, type, zip_tseitin_0: $i > $i > $i > $i > $i > $o).
% 1.34/2.11  thf(cartesian_product2_type, type, cartesian_product2: $i > $i > $i).
% 1.34/2.11  thf(sk__8_type, type, sk__8: $i).
% 1.34/2.11  thf(ordered_pair_type, type, ordered_pair: $i > $i > $i).
% 1.34/2.11  thf(sk__9_type, type, sk__9: $i).
% 1.34/2.11  thf(d2_zfmisc_1, axiom,
% 1.34/2.11    (![A:$i,B:$i,C:$i]:
% 1.34/2.11     ( ( ( C ) = ( cartesian_product2 @ A @ B ) ) <=>
% 1.34/2.11       ( ![D:$i]:
% 1.34/2.11         ( ( in @ D @ C ) <=>
% 1.34/2.11           ( ?[E:$i,F:$i]:
% 1.34/2.11             ( ( in @ E @ A ) & ( in @ F @ B ) & 
% 1.34/2.11               ( ( D ) = ( ordered_pair @ E @ F ) ) ) ) ) ) ))).
% 1.34/2.11  thf(zf_stmt_0, axiom,
% 1.34/2.11    (![F:$i,E:$i,D:$i,B:$i,A:$i]:
% 1.34/2.11     ( ( zip_tseitin_0 @ F @ E @ D @ B @ A ) <=>
% 1.34/2.11       ( ( ( D ) = ( ordered_pair @ E @ F ) ) & ( in @ F @ B ) & ( in @ E @ A ) ) ))).
% 1.34/2.11  thf(zip_derived_cl8, plain,
% 1.34/2.11      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.34/2.11         ( (zip_tseitin_0 @ X0 @ X1 @ X2 @ X3 @ X4)
% 1.34/2.11          | ~ (in @ X1 @ X4)
% 1.34/2.11          | ~ (in @ X0 @ X3)
% 1.34/2.11          | ((X2) != (ordered_pair @ X1 @ X0)))),
% 1.34/2.11      inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.34/2.11  thf(zf_stmt_1, type, zip_tseitin_0 : $i > $i > $i > $i > $i > $o).
% 1.34/2.11  thf(zf_stmt_2, axiom,
% 1.34/2.11    (![A:$i,B:$i,C:$i]:
% 1.34/2.11     ( ( ( C ) = ( cartesian_product2 @ A @ B ) ) <=>
% 1.34/2.11       ( ![D:$i]:
% 1.34/2.11         ( ( in @ D @ C ) <=>
% 1.34/2.11           ( ?[E:$i,F:$i]: ( zip_tseitin_0 @ F @ E @ D @ B @ A ) ) ) ) ))).
% 1.34/2.11  thf(zip_derived_cl9, plain,
% 1.34/2.11      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.34/2.11         (~ (zip_tseitin_0 @ X0 @ X1 @ X2 @ X3 @ X4)
% 1.34/2.11          |  (in @ X2 @ X5)
% 1.34/2.11          | ((X5) != (cartesian_product2 @ X4 @ X3)))),
% 1.34/2.11      inference('cnf', [status(esa)], [zf_stmt_2])).
% 1.34/2.11  thf(zip_derived_cl193, plain,
% 1.34/2.11      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.34/2.11         (((X2) != (ordered_pair @ X3 @ X4))
% 1.34/2.11          | ~ (in @ X4 @ X1)
% 1.34/2.11          | ~ (in @ X3 @ X0)
% 1.34/2.11          | ((X5) != (cartesian_product2 @ X0 @ X1))
% 1.34/2.11          |  (in @ X2 @ X5))),
% 1.34/2.11      inference('sup-', [status(thm)], [zip_derived_cl8, zip_derived_cl9])).
% 1.34/2.11  thf(zip_derived_cl462, plain,
% 1.34/2.11      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.34/2.11         ( (in @ (ordered_pair @ X2 @ X1) @ X0)
% 1.34/2.11          | ((X0) != (cartesian_product2 @ X4 @ X3))
% 1.34/2.11          | ~ (in @ X2 @ X4)
% 1.34/2.11          | ~ (in @ X1 @ X3))),
% 1.34/2.11      inference('eq_res', [status(thm)], [zip_derived_cl193])).
% 1.34/2.11  thf(zip_derived_cl889, plain,
% 1.34/2.11      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.34/2.11         (~ (in @ X1 @ X0)
% 1.34/2.11          | ~ (in @ X3 @ X2)
% 1.34/2.11          |  (in @ (ordered_pair @ X3 @ X1) @ (cartesian_product2 @ X2 @ X0)))),
% 1.34/2.11      inference('eq_res', [status(thm)], [zip_derived_cl462])).
% 1.34/2.11  thf(t106_zfmisc_1, conjecture,
% 1.34/2.11    (![A:$i,B:$i,C:$i,D:$i]:
% 1.34/2.11     ( ( in @ ( ordered_pair @ A @ B ) @ ( cartesian_product2 @ C @ D ) ) <=>
% 1.34/2.11       ( ( in @ A @ C ) & ( in @ B @ D ) ) ))).
% 1.34/2.11  thf(zf_stmt_3, negated_conjecture,
% 1.34/2.11    (~( ![A:$i,B:$i,C:$i,D:$i]:
% 1.34/2.11        ( ( in @ ( ordered_pair @ A @ B ) @ ( cartesian_product2 @ C @ D ) ) <=>
% 1.34/2.11          ( ( in @ A @ C ) & ( in @ B @ D ) ) ) )),
% 1.34/2.11    inference('cnf.neg', [status(esa)], [t106_zfmisc_1])).
% 1.34/2.11  thf(zip_derived_cl31, plain,
% 1.34/2.11      ((~ (in @ sk__9 @ sk__11)
% 1.34/2.11        | ~ (in @ sk__8 @ sk__10)
% 1.34/2.11        | ~ (in @ (ordered_pair @ sk__8 @ sk__9) @ 
% 1.34/2.11             (cartesian_product2 @ sk__10 @ sk__11)))),
% 1.34/2.11      inference('cnf', [status(esa)], [zf_stmt_3])).
% 1.34/2.11  thf(zip_derived_cl29, plain,
% 1.34/2.11      (( (in @ sk__8 @ sk__10)
% 1.34/2.11        |  (in @ (ordered_pair @ sk__8 @ sk__9) @ 
% 1.34/2.11            (cartesian_product2 @ sk__10 @ sk__11)))),
% 1.34/2.11      inference('cnf', [status(esa)], [zf_stmt_3])).
% 1.34/2.11  thf(l55_zfmisc_1, axiom,
% 1.34/2.11    (![A:$i,B:$i,C:$i,D:$i]:
% 1.34/2.11     ( ( in @ ( ordered_pair @ A @ B ) @ ( cartesian_product2 @ C @ D ) ) <=>
% 1.34/2.11       ( ( in @ A @ C ) & ( in @ B @ D ) ) ))).
% 1.34/2.11  thf(zip_derived_cl20, plain,
% 1.34/2.11      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.34/2.11         ( (in @ X0 @ X1)
% 1.34/2.11          | ~ (in @ (ordered_pair @ X0 @ X2) @ (cartesian_product2 @ X1 @ X3)))),
% 1.34/2.11      inference('cnf', [status(esa)], [l55_zfmisc_1])).
% 1.34/2.11  thf(zip_derived_cl69, plain,
% 1.34/2.11      (( (in @ sk__8 @ sk__10) |  (in @ sk__8 @ sk__10))),
% 1.34/2.11      inference('sup-', [status(thm)], [zip_derived_cl29, zip_derived_cl20])).
% 1.34/2.11  thf(zip_derived_cl71, plain, ( (in @ sk__8 @ sk__10)),
% 1.34/2.11      inference('simplify', [status(thm)], [zip_derived_cl69])).
% 1.34/2.11  thf(zip_derived_cl76, plain,
% 1.34/2.11      ((~ (in @ sk__9 @ sk__11)
% 1.34/2.11        | ~ (in @ (ordered_pair @ sk__8 @ sk__9) @ 
% 1.34/2.11             (cartesian_product2 @ sk__10 @ sk__11)))),
% 1.34/2.11      inference('demod', [status(thm)], [zip_derived_cl31, zip_derived_cl71])).
% 1.34/2.11  thf(zip_derived_cl30, plain,
% 1.34/2.11      (( (in @ sk__9 @ sk__11)
% 1.34/2.11        |  (in @ (ordered_pair @ sk__8 @ sk__9) @ 
% 1.34/2.11            (cartesian_product2 @ sk__10 @ sk__11)))),
% 1.34/2.11      inference('cnf', [status(esa)], [zf_stmt_3])).
% 1.34/2.11  thf(zip_derived_cl21, plain,
% 1.34/2.11      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.34/2.11         ( (in @ X0 @ X1)
% 1.34/2.11          | ~ (in @ (ordered_pair @ X2 @ X0) @ (cartesian_product2 @ X3 @ X1)))),
% 1.34/2.11      inference('cnf', [status(esa)], [l55_zfmisc_1])).
% 1.34/2.11  thf(zip_derived_cl74, plain,
% 1.34/2.11      (( (in @ sk__9 @ sk__11) |  (in @ sk__9 @ sk__11))),
% 1.34/2.11      inference('sup-', [status(thm)], [zip_derived_cl30, zip_derived_cl21])).
% 1.34/2.11  thf(zip_derived_cl75, plain, ( (in @ sk__9 @ sk__11)),
% 1.34/2.11      inference('simplify', [status(thm)], [zip_derived_cl74])).
% 1.34/2.11  thf(zip_derived_cl96, plain,
% 1.34/2.11      (~ (in @ (ordered_pair @ sk__8 @ sk__9) @ 
% 1.34/2.11          (cartesian_product2 @ sk__10 @ sk__11))),
% 1.34/2.11      inference('demod', [status(thm)], [zip_derived_cl76, zip_derived_cl75])).
% 1.34/2.11  thf(zip_derived_cl1046, plain,
% 1.34/2.11      ((~ (in @ sk__8 @ sk__10) | ~ (in @ sk__9 @ sk__11))),
% 1.34/2.11      inference('sup-', [status(thm)], [zip_derived_cl889, zip_derived_cl96])).
% 1.34/2.11  thf(zip_derived_cl71, plain, ( (in @ sk__8 @ sk__10)),
% 1.34/2.11      inference('simplify', [status(thm)], [zip_derived_cl69])).
% 1.34/2.11  thf(zip_derived_cl75, plain, ( (in @ sk__9 @ sk__11)),
% 1.34/2.11      inference('simplify', [status(thm)], [zip_derived_cl74])).
% 1.34/2.11  thf(zip_derived_cl1059, plain, ($false),
% 1.34/2.11      inference('demod', [status(thm)],
% 1.34/2.11                [zip_derived_cl1046, zip_derived_cl71, zip_derived_cl75])).
% 1.34/2.11  
% 1.34/2.11  % SZS output end Refutation
% 1.34/2.11  
% 1.34/2.11  
% 1.34/2.11  % Terminating...
% 1.99/2.28  % Runner terminated.
% 1.99/2.32  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------