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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SET949+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.LjI38dtIVB true

% Computer : n024.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 0.72s 0.75s
% Output   : Refutation 0.72s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem  : SET949+1 : TPTP v9.2.0. Released v3.2.0.
% 0.10/0.11  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.LjI38dtIVB true
% 0.10/0.32  % Computer : n024.cluster.edu
% 0.10/0.32  % Model    : x86_64 x86_64
% 0.10/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32  % Memory   : 8042.1875MB
% 0.10/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32  % CPULimit : 300
% 0.10/0.32  % WCLimit  : 300
% 0.10/0.32  % DateTime : Wed Oct  1 13:12:08 EDT 2025
% 0.10/0.32  % CPUTime  : 
% 0.10/0.32  % Running portfolio for 300 s
% 0.10/0.32  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.32  % Number of cores: 8
% 0.10/0.32  % Python version: Python 3.6.8
% 0.10/0.32  % Running in FO mode
% 0.51/0.62  % Total configuration time : 435
% 0.51/0.62  % Estimated wc time : 1092
% 0.51/0.62  % Estimated cpu time (7 cpus) : 156.0
% 0.58/0.69  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.58/0.69  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.58/0.69  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.58/0.69  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.58/0.70  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.58/0.70  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.58/0.70  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.72/0.75  % Solved by fo/fo3_bce.sh.
% 0.72/0.75  % BCE start: 16
% 0.72/0.75  % BCE eliminated: 0
% 0.72/0.75  % PE start: 16
% 0.72/0.75  logic: eq
% 0.72/0.75  % PE eliminated: 1
% 0.72/0.75  % done 29 iterations in 0.029s
% 0.72/0.75  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.72/0.75  % SZS output start Refutation
% 0.72/0.75  thf(sk__3_type, type, sk__3: $i > $i > $i > $i).
% 0.72/0.75  thf(sk__9_type, type, sk__9: $i).
% 0.72/0.75  thf(unordered_pair_type, type, unordered_pair: $i > $i > $i).
% 0.72/0.75  thf(in_type, type, in: $i > $i > $o).
% 0.72/0.75  thf(zip_tseitin_0_type, type, zip_tseitin_0: $i > $i > $i > $i > $i > $o).
% 0.72/0.75  thf(sk__4_type, type, sk__4: $i > $i > $i > $i).
% 0.72/0.75  thf(sk__7_type, type, sk__7: $i).
% 0.72/0.75  thf(sk__8_type, type, sk__8: $i).
% 0.72/0.75  thf(cartesian_product2_type, type, cartesian_product2: $i > $i > $i).
% 0.72/0.75  thf(singleton_type, type, singleton: $i > $i).
% 0.72/0.75  thf(ordered_pair_type, type, ordered_pair: $i > $i > $i).
% 0.72/0.75  thf(t102_zfmisc_1, conjecture,
% 0.72/0.75    (![A:$i,B:$i,C:$i]:
% 0.72/0.75     ( ~( ( in @ A @ ( cartesian_product2 @ B @ C ) ) & 
% 0.72/0.75          ( ![D:$i,E:$i]: ( ( ordered_pair @ D @ E ) != ( A ) ) ) ) ))).
% 0.72/0.75  thf(zf_stmt_0, negated_conjecture,
% 0.72/0.75    (~( ![A:$i,B:$i,C:$i]:
% 0.72/0.75        ( ~( ( in @ A @ ( cartesian_product2 @ B @ C ) ) & 
% 0.72/0.75             ( ![D:$i,E:$i]: ( ( ordered_pair @ D @ E ) != ( A ) ) ) ) ) )),
% 0.72/0.75    inference('cnf.neg', [status(esa)], [t102_zfmisc_1])).
% 0.72/0.75  thf(zip_derived_cl14, plain,
% 0.72/0.75      ( (in @ sk__7 @ (cartesian_product2 @ sk__8 @ sk__9))),
% 0.72/0.75      inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.72/0.75  thf(d2_zfmisc_1, axiom,
% 0.72/0.75    (![A:$i,B:$i,C:$i]:
% 0.72/0.75     ( ( ( C ) = ( cartesian_product2 @ A @ B ) ) <=>
% 0.72/0.75       ( ![D:$i]:
% 0.72/0.75         ( ( in @ D @ C ) <=>
% 0.72/0.75           ( ?[E:$i,F:$i]:
% 0.72/0.75             ( ( in @ E @ A ) & ( in @ F @ B ) & 
% 0.72/0.75               ( ( D ) = ( ordered_pair @ E @ F ) ) ) ) ) ) ))).
% 0.72/0.75  thf(zf_stmt_1, type, zip_tseitin_0 : $i > $i > $i > $i > $i > $o).
% 0.72/0.75  thf(zf_stmt_2, axiom,
% 0.72/0.75    (![F:$i,E:$i,D:$i,B:$i,A:$i]:
% 0.72/0.75     ( ( zip_tseitin_0 @ F @ E @ D @ B @ A ) <=>
% 0.72/0.75       ( ( ( D ) = ( ordered_pair @ E @ F ) ) & ( in @ F @ B ) & ( in @ E @ A ) ) ))).
% 0.72/0.75  thf(zf_stmt_3, axiom,
% 0.72/0.75    (![A:$i,B:$i,C:$i]:
% 0.72/0.75     ( ( ( C ) = ( cartesian_product2 @ A @ B ) ) <=>
% 0.72/0.75       ( ![D:$i]:
% 0.72/0.75         ( ( in @ D @ C ) <=>
% 0.72/0.75           ( ?[E:$i,F:$i]: ( zip_tseitin_0 @ F @ E @ D @ B @ A ) ) ) ) ))).
% 0.72/0.75  thf(zip_derived_cl7, plain,
% 0.72/0.75      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.72/0.75         (~ (in @ X0 @ X1)
% 0.72/0.75          |  (zip_tseitin_0 @ (sk__4 @ X0 @ X2 @ X3) @ 
% 0.72/0.75              (sk__3 @ X0 @ X2 @ X3) @ X0 @ X2 @ X3)
% 0.72/0.75          | ((X1) != (cartesian_product2 @ X3 @ X2)))),
% 0.72/0.75      inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.72/0.75  thf(zip_derived_cl2, plain,
% 0.72/0.75      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.72/0.75         (((X2) = (ordered_pair @ X0 @ X1))
% 0.72/0.75          | ~ (zip_tseitin_0 @ X1 @ X0 @ X2 @ X3 @ X4))),
% 0.72/0.75      inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.72/0.75  thf(zip_derived_cl73, plain,
% 0.72/0.75      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.72/0.75         (((X0) != (cartesian_product2 @ X2 @ X3))
% 0.72/0.75          | ~ (in @ X1 @ X0)
% 0.72/0.75          | ((X1)
% 0.72/0.75              = (ordered_pair @ (sk__3 @ X1 @ X3 @ X2) @ (sk__4 @ X1 @ X3 @ X2))))),
% 0.72/0.75      inference('dp-resolution', [status(thm)],
% 0.72/0.75                [zip_derived_cl7, zip_derived_cl2])).
% 0.72/0.75  thf(zip_derived_cl94, plain,
% 0.72/0.75      (![X0 : $i, X1 : $i]:
% 0.72/0.75         (((sk__7)
% 0.72/0.75            = (ordered_pair @ (sk__3 @ sk__7 @ X1 @ X0) @ 
% 0.72/0.75               (sk__4 @ sk__7 @ X1 @ X0)))
% 0.72/0.75          | ((cartesian_product2 @ sk__8 @ sk__9)
% 0.72/0.75              != (cartesian_product2 @ X0 @ X1)))),
% 0.72/0.75      inference('sup-', [status(thm)], [zip_derived_cl14, zip_derived_cl73])).
% 0.72/0.75  thf(d5_tarski, axiom,
% 0.72/0.75    (![A:$i,B:$i]:
% 0.72/0.75     ( ( ordered_pair @ A @ B ) =
% 0.72/0.75       ( unordered_pair @ ( unordered_pair @ A @ B ) @ ( singleton @ A ) ) ))).
% 0.72/0.75  thf(zip_derived_cl10, plain,
% 0.72/0.75      (![X0 : $i, X1 : $i]:
% 0.72/0.75         ((ordered_pair @ X0 @ X1)
% 0.72/0.75           = (unordered_pair @ (unordered_pair @ X0 @ X1) @ (singleton @ X0)))),
% 0.72/0.75      inference('cnf', [status(esa)], [d5_tarski])).
% 0.72/0.75  thf(commutativity_k2_tarski, axiom,
% 0.72/0.75    (![A:$i,B:$i]: ( ( unordered_pair @ A @ B ) = ( unordered_pair @ B @ A ) ))).
% 0.72/0.75  thf(zip_derived_cl1, plain,
% 0.72/0.75      (![X0 : $i, X1 : $i]:
% 0.72/0.75         ((unordered_pair @ X1 @ X0) = (unordered_pair @ X0 @ X1))),
% 0.72/0.75      inference('cnf', [status(esa)], [commutativity_k2_tarski])).
% 0.72/0.75  thf(zip_derived_cl83, plain,
% 0.72/0.75      (![X0 : $i, X1 : $i]:
% 0.72/0.75         ((ordered_pair @ X0 @ X1)
% 0.72/0.75           = (unordered_pair @ (singleton @ X0) @ (unordered_pair @ X0 @ X1)))),
% 0.72/0.75      inference('demod', [status(thm)], [zip_derived_cl10, zip_derived_cl1])).
% 0.72/0.75  thf(zip_derived_cl110, plain,
% 0.72/0.75      (![X0 : $i, X1 : $i]:
% 0.72/0.75         (((sk__7)
% 0.72/0.75            = (unordered_pair @ (singleton @ (sk__3 @ sk__7 @ X1 @ X0)) @ 
% 0.72/0.75               (unordered_pair @ (sk__3 @ sk__7 @ X1 @ X0) @ 
% 0.72/0.75                (sk__4 @ sk__7 @ X1 @ X0))))
% 0.72/0.75          | ((cartesian_product2 @ sk__8 @ sk__9)
% 0.72/0.75              != (cartesian_product2 @ X0 @ X1)))),
% 0.72/0.75      inference('sup+', [status(thm)], [zip_derived_cl94, zip_derived_cl83])).
% 0.72/0.75  thf(zip_derived_cl15, plain,
% 0.72/0.75      (![X0 : $i, X1 : $i]: ((ordered_pair @ X0 @ X1) != (sk__7))),
% 0.72/0.75      inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.72/0.75  thf(zip_derived_cl83, plain,
% 0.72/0.75      (![X0 : $i, X1 : $i]:
% 0.72/0.75         ((ordered_pair @ X0 @ X1)
% 0.72/0.75           = (unordered_pair @ (singleton @ X0) @ (unordered_pair @ X0 @ X1)))),
% 0.72/0.75      inference('demod', [status(thm)], [zip_derived_cl10, zip_derived_cl1])).
% 0.72/0.75  thf(zip_derived_cl84, plain,
% 0.72/0.75      (![X0 : $i, X1 : $i]:
% 0.72/0.75         ((unordered_pair @ (singleton @ X0) @ (unordered_pair @ X0 @ X1))
% 0.72/0.75           != (sk__7))),
% 0.72/0.75      inference('demod', [status(thm)], [zip_derived_cl15, zip_derived_cl83])).
% 0.72/0.75  thf(zip_derived_cl111, plain,
% 0.72/0.75      (![X0 : $i, X1 : $i]:
% 0.72/0.75         ((cartesian_product2 @ sk__8 @ sk__9)
% 0.72/0.75           != (cartesian_product2 @ X0 @ X1))),
% 0.72/0.75      inference('simplify_reflect-', [status(thm)],
% 0.72/0.75                [zip_derived_cl110, zip_derived_cl84])).
% 0.72/0.75  thf(zip_derived_cl112, plain, ($false),
% 0.72/0.75      inference('eq_res', [status(thm)], [zip_derived_cl111])).
% 0.72/0.75  
% 0.72/0.75  % SZS output end Refutation
% 0.72/0.75  
% 0.72/0.75  
% 0.72/0.75  % Terminating...
% 0.82/0.82  % Runner terminated.
% 0.82/0.84  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------