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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SET950+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.SfAJbcCQhq true

% Computer : n021.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 04:53:13 PM UTC 2025

% Result   : Theorem 0.56s 0.85s
% Output   : Refutation 0.56s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SET950+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.SfAJbcCQhq true
% 0.13/0.34  % Computer : n021.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 13:16:38 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
% 0.54/0.63  % Total configuration time : 435
% 0.54/0.63  % Estimated wc time : 1092
% 0.54/0.63  % Estimated cpu time (7 cpus) : 156.0
% 0.54/0.70  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.54/0.72  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.54/0.75  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.54/0.75  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.54/0.76  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.54/0.76  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.54/0.76  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.56/0.85  % Solved by fo/fo5.sh.
% 0.56/0.85  % done 128 iterations in 0.075s
% 0.56/0.85  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.56/0.85  % SZS output start Refutation
% 0.56/0.85  thf(sk__9_type, type, sk__9: $i).
% 0.56/0.85  thf(sk__4_type, type, sk__4: $i > $i > $i > $i).
% 0.56/0.85  thf(sk__11_type, type, sk__11: $i).
% 0.56/0.85  thf(in_type, type, in: $i > $i > $o).
% 0.56/0.85  thf(sk__10_type, type, sk__10: $i).
% 0.56/0.85  thf(subset_type, type, subset: $i > $i > $o).
% 0.56/0.85  thf(zip_tseitin_0_type, type, zip_tseitin_0: $i > $i > $i > $i > $i > $o).
% 0.56/0.85  thf(sk__8_type, type, sk__8: $i).
% 0.56/0.85  thf(cartesian_product2_type, type, cartesian_product2: $i > $i > $i).
% 0.56/0.85  thf(ordered_pair_type, type, ordered_pair: $i > $i > $i).
% 0.56/0.85  thf(sk__3_type, type, sk__3: $i > $i > $i > $i).
% 0.56/0.85  thf(t103_zfmisc_1, conjecture,
% 0.56/0.85    (![A:$i,B:$i,C:$i,D:$i]:
% 0.56/0.85     ( ~( ( subset @ A @ ( cartesian_product2 @ B @ C ) ) & ( in @ D @ A ) & 
% 0.56/0.85          ( ![E:$i,F:$i]:
% 0.56/0.85            ( ~( ( in @ E @ B ) & ( in @ F @ C ) & 
% 0.56/0.85                 ( ( D ) = ( ordered_pair @ E @ F ) ) ) ) ) ) ))).
% 0.56/0.85  thf(zf_stmt_0, negated_conjecture,
% 0.56/0.85    (~( ![A:$i,B:$i,C:$i,D:$i]:
% 0.56/0.85        ( ~( ( subset @ A @ ( cartesian_product2 @ B @ C ) ) & 
% 0.56/0.85             ( in @ D @ A ) & 
% 0.56/0.85             ( ![E:$i,F:$i]:
% 0.56/0.85               ( ~( ( in @ E @ B ) & ( in @ F @ C ) & 
% 0.56/0.85                    ( ( D ) = ( ordered_pair @ E @ F ) ) ) ) ) ) ) )),
% 0.56/0.85    inference('cnf.neg', [status(esa)], [t103_zfmisc_1])).
% 0.56/0.85  thf(zip_derived_cl18, plain, ( (in @ sk__11 @ sk__8)),
% 0.56/0.85      inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.56/0.85  thf(zip_derived_cl20, plain,
% 0.56/0.85      ( (subset @ sk__8 @ (cartesian_product2 @ sk__9 @ sk__10))),
% 0.56/0.85      inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.56/0.85  thf(d3_tarski, axiom,
% 0.56/0.85    (![A:$i,B:$i]:
% 0.56/0.85     ( ( subset @ A @ B ) <=> ( ![C:$i]: ( ( in @ C @ A ) => ( in @ C @ B ) ) ) ))).
% 0.56/0.85  thf(zip_derived_cl10, plain,
% 0.56/0.85      (![X0 : $i, X1 : $i, X2 : $i]:
% 0.56/0.85         (~ (in @ X0 @ X1) |  (in @ X0 @ X2) | ~ (subset @ X1 @ X2))),
% 0.56/0.85      inference('cnf', [status(esa)], [d3_tarski])).
% 0.56/0.85  thf(zip_derived_cl25, plain,
% 0.56/0.85      (![X0 : $i]:
% 0.56/0.85         ( (in @ X0 @ (cartesian_product2 @ sk__9 @ sk__10))
% 0.56/0.85          | ~ (in @ X0 @ sk__8))),
% 0.56/0.85      inference('sup-', [status(thm)], [zip_derived_cl20, zip_derived_cl10])).
% 0.56/0.85  thf(zip_derived_cl30, plain,
% 0.56/0.85      ( (in @ sk__11 @ (cartesian_product2 @ sk__9 @ sk__10))),
% 0.56/0.85      inference('sup-', [status(thm)], [zip_derived_cl18, zip_derived_cl25])).
% 0.56/0.85  thf(d2_zfmisc_1, axiom,
% 0.56/0.85    (![A:$i,B:$i,C:$i]:
% 0.56/0.85     ( ( ( C ) = ( cartesian_product2 @ A @ B ) ) <=>
% 0.56/0.85       ( ![D:$i]:
% 0.56/0.85         ( ( in @ D @ C ) <=>
% 0.56/0.85           ( ?[E:$i,F:$i]:
% 0.56/0.85             ( ( in @ E @ A ) & ( in @ F @ B ) & 
% 0.56/0.85               ( ( D ) = ( ordered_pair @ E @ F ) ) ) ) ) ) ))).
% 0.56/0.85  thf(zf_stmt_1, type, zip_tseitin_0 : $i > $i > $i > $i > $i > $o).
% 0.56/0.85  thf(zf_stmt_2, axiom,
% 0.56/0.85    (![F:$i,E:$i,D:$i,B:$i,A:$i]:
% 0.56/0.85     ( ( zip_tseitin_0 @ F @ E @ D @ B @ A ) <=>
% 0.56/0.85       ( ( ( D ) = ( ordered_pair @ E @ F ) ) & ( in @ F @ B ) & ( in @ E @ A ) ) ))).
% 0.56/0.85  thf(zf_stmt_3, axiom,
% 0.56/0.85    (![A:$i,B:$i,C:$i]:
% 0.56/0.85     ( ( ( C ) = ( cartesian_product2 @ A @ B ) ) <=>
% 0.56/0.85       ( ![D:$i]:
% 0.56/0.85         ( ( in @ D @ C ) <=>
% 0.56/0.85           ( ?[E:$i,F:$i]: ( zip_tseitin_0 @ F @ E @ D @ B @ A ) ) ) ) ))).
% 0.56/0.85  thf(zip_derived_cl7, plain,
% 0.56/0.85      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.56/0.85         (~ (in @ X0 @ X1)
% 0.56/0.85          |  (zip_tseitin_0 @ (sk__4 @ X0 @ X2 @ X3) @ 
% 0.56/0.85              (sk__3 @ X0 @ X2 @ X3) @ X0 @ X2 @ X3)
% 0.56/0.85          | ((X1) != (cartesian_product2 @ X3 @ X2)))),
% 0.56/0.85      inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.56/0.85  thf(zip_derived_cl83, plain,
% 0.56/0.85      (![X0 : $i, X1 : $i, X2 : $i]:
% 0.56/0.85         ( (zip_tseitin_0 @ (sk__4 @ X2 @ X1 @ X0) @ (sk__3 @ X2 @ X1 @ X0) @ 
% 0.56/0.85            X2 @ X1 @ X0)
% 0.56/0.85          | ~ (in @ X2 @ (cartesian_product2 @ X0 @ X1)))),
% 0.56/0.85      inference('eq_res', [status(thm)], [zip_derived_cl7])).
% 0.56/0.85  thf(zip_derived_cl92, plain,
% 0.56/0.85      ( (zip_tseitin_0 @ (sk__4 @ sk__11 @ sk__10 @ sk__9) @ 
% 0.56/0.85         (sk__3 @ sk__11 @ sk__10 @ sk__9) @ sk__11 @ sk__10 @ sk__9)),
% 0.56/0.85      inference('sup-', [status(thm)], [zip_derived_cl30, zip_derived_cl83])).
% 0.56/0.85  thf(zip_derived_cl2, plain,
% 0.56/0.85      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.56/0.85         (((X2) = (ordered_pair @ X0 @ X1))
% 0.56/0.85          | ~ (zip_tseitin_0 @ X1 @ X0 @ X2 @ X3 @ X4))),
% 0.56/0.85      inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.56/0.85  thf(zip_derived_cl351, plain,
% 0.56/0.85      (((sk__11)
% 0.56/0.85         = (ordered_pair @ (sk__3 @ sk__11 @ sk__10 @ sk__9) @ 
% 0.56/0.85            (sk__4 @ sk__11 @ sk__10 @ sk__9)))),
% 0.56/0.85      inference('sup-', [status(thm)], [zip_derived_cl92, zip_derived_cl2])).
% 0.56/0.85  thf(zip_derived_cl92, plain,
% 0.56/0.85      ( (zip_tseitin_0 @ (sk__4 @ sk__11 @ sk__10 @ sk__9) @ 
% 0.56/0.85         (sk__3 @ sk__11 @ sk__10 @ sk__9) @ sk__11 @ sk__10 @ sk__9)),
% 0.56/0.85      inference('sup-', [status(thm)], [zip_derived_cl30, zip_derived_cl83])).
% 0.56/0.85  thf(zip_derived_cl4, plain,
% 0.56/0.85      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.56/0.85         ( (in @ X0 @ X1) | ~ (zip_tseitin_0 @ X2 @ X0 @ X3 @ X4 @ X1))),
% 0.56/0.85      inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.56/0.85  thf(zip_derived_cl353, plain,
% 0.56/0.85      ( (in @ (sk__3 @ sk__11 @ sk__10 @ sk__9) @ sk__9)),
% 0.56/0.85      inference('sup-', [status(thm)], [zip_derived_cl92, zip_derived_cl4])).
% 0.56/0.85  thf(zip_derived_cl19, plain,
% 0.56/0.85      (![X0 : $i, X1 : $i]:
% 0.56/0.85         (~ (in @ X0 @ sk__9)
% 0.56/0.85          | ((sk__11) != (ordered_pair @ X0 @ X1))
% 0.56/0.85          | ~ (in @ X1 @ sk__10))),
% 0.56/0.85      inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.56/0.85  thf(zip_derived_cl373, plain,
% 0.56/0.85      (![X0 : $i]:
% 0.56/0.85         (~ (in @ X0 @ sk__10)
% 0.56/0.85          | ((sk__11)
% 0.56/0.85              != (ordered_pair @ (sk__3 @ sk__11 @ sk__10 @ sk__9) @ X0)))),
% 0.56/0.85      inference('sup-', [status(thm)], [zip_derived_cl353, zip_derived_cl19])).
% 0.56/0.85  thf(zip_derived_cl475, plain,
% 0.56/0.85      ((((sk__11) != (sk__11))
% 0.56/0.85        | ~ (in @ (sk__4 @ sk__11 @ sk__10 @ sk__9) @ sk__10))),
% 0.56/0.85      inference('sup-', [status(thm)], [zip_derived_cl351, zip_derived_cl373])).
% 0.56/0.85  thf(zip_derived_cl92, plain,
% 0.56/0.85      ( (zip_tseitin_0 @ (sk__4 @ sk__11 @ sk__10 @ sk__9) @ 
% 0.56/0.85         (sk__3 @ sk__11 @ sk__10 @ sk__9) @ sk__11 @ sk__10 @ sk__9)),
% 0.56/0.85      inference('sup-', [status(thm)], [zip_derived_cl30, zip_derived_cl83])).
% 0.56/0.85  thf(zip_derived_cl3, plain,
% 0.56/0.85      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.56/0.85         ( (in @ X0 @ X1) | ~ (zip_tseitin_0 @ X0 @ X2 @ X3 @ X1 @ X4))),
% 0.56/0.85      inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.56/0.85  thf(zip_derived_cl352, plain,
% 0.56/0.85      ( (in @ (sk__4 @ sk__11 @ sk__10 @ sk__9) @ sk__10)),
% 0.56/0.85      inference('sup-', [status(thm)], [zip_derived_cl92, zip_derived_cl3])).
% 0.56/0.85  thf(zip_derived_cl476, plain, (((sk__11) != (sk__11))),
% 0.56/0.85      inference('demod', [status(thm)], [zip_derived_cl475, zip_derived_cl352])).
% 0.56/0.85  thf(zip_derived_cl477, plain, ($false),
% 0.56/0.85      inference('simplify', [status(thm)], [zip_derived_cl476])).
% 0.56/0.85  
% 0.56/0.85  % SZS output end Refutation
% 0.56/0.85  
% 0.56/0.85  
% 0.56/0.85  % Terminating...
% 1.69/0.94  % Runner terminated.
% 1.69/0.95  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------