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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWW326+1 : TPTP v9.2.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.Vr1bPF2sXh true

% Computer : n028.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 05:02:37 PM UTC 2025

% Result   : Theorem 4.66s 1.27s
% Output   : Refutation 4.66s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SWW326+1 : TPTP v9.2.0. Released v5.2.0.
% 0.11/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.Vr1bPF2sXh true
% 0.13/0.34  % Computer : n028.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 12:03:38 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
% 0.13/0.34  % Number of cores: 8
% 0.13/0.34  % 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
% 0.54/0.70  % /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
% 0.54/0.75  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.54/0.75  % /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
% 4.66/1.27  % Solved by fo/fo4.sh.
% 4.66/1.27  % done 82 iterations in 0.493s
% 4.66/1.27  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 4.66/1.27  % SZS output start Refutation
% 4.66/1.27  thf(v_b_type, type, v_b: $i).
% 4.66/1.27  thf(zip_tseitin_14_type, type, zip_tseitin_14: $i > $o).
% 4.66/1.27  thf(c_Natural_Oevaln_type, type, c_Natural_Oevaln: $i > $i > $i > $i > $o).
% 4.66/1.27  thf(c_Com_Ocom_OWhile_type, type, c_Com_Ocom_OWhile: $i > $i > $i).
% 4.66/1.27  thf(sk__22_type, type, sk__22: $i).
% 4.66/1.27  thf(tc_Hoare__Mirabelle_Otriple_type, type, tc_Hoare__Mirabelle_Otriple: 
% 4.66/1.27      $i > $i).
% 4.66/1.27  thf(hAPP_type, type, hAPP: $i > $i > $i).
% 4.66/1.27  thf(c_member_type, type, c_member: $i > $i).
% 4.66/1.27  thf(zip_tseitin_15_type, type, zip_tseitin_15: $i > $i > $o).
% 4.66/1.27  thf(sk__21_type, type, sk__21: $i).
% 4.66/1.27  thf(t_a_type, type, t_a: $i).
% 4.66/1.27  thf(v_P_type, type, v_P: $i > $i > $o).
% 4.66/1.27  thf(v_c_type, type, v_c: $i).
% 4.66/1.27  thf(sk__20_type, type, sk__20: $i).
% 4.66/1.27  thf(c_Hoare__Mirabelle_Otriple__valid_type, type, c_Hoare__Mirabelle_Otriple__valid: 
% 4.66/1.27      $i > $i > $i > $o).
% 4.66/1.27  thf(sk__23_type, type, sk__23: $i).
% 4.66/1.27  thf(v_G_type, type, v_G: $i).
% 4.66/1.27  thf(hBOOL_type, type, hBOOL: $i > $o).
% 4.66/1.27  thf(v_n_type, type, v_n: $i).
% 4.66/1.27  thf(conj_2, conjecture,
% 4.66/1.27    (( ![B_x:$i]:
% 4.66/1.27       ( ( hBOOL @
% 4.66/1.27           ( hAPP @
% 4.66/1.27             ( hAPP @
% 4.66/1.27               ( c_member @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) ) @ B_x ) @ 
% 4.66/1.27             v_G ) ) =>
% 4.66/1.27         ( c_Hoare__Mirabelle_Otriple__valid @ t_a @ v_n @ B_x ) ) ) =>
% 4.66/1.27     ( ![B_Z:$i,B_s:$i]:
% 4.66/1.27       ( ( v_P @ B_Z @ B_s ) =>
% 4.66/1.27         ( ![B_s_H:$i]:
% 4.66/1.27           ( ( c_Natural_Oevaln @
% 4.66/1.27               ( c_Com_Ocom_OWhile @ v_b @ v_c ) @ B_s @ v_n @ B_s_H ) =>
% 4.66/1.27             ( ( v_P @ B_Z @ B_s_H ) & ( ~( hBOOL @ ( hAPP @ v_b @ B_s_H ) ) ) ) ) ) ) ))).
% 4.66/1.27  thf(zf_stmt_0, negated_conjecture,
% 4.66/1.27    (~( ( ![B_x:$i]:
% 4.66/1.27          ( ( hBOOL @
% 4.66/1.27              ( hAPP @
% 4.66/1.27                ( hAPP @
% 4.66/1.27                  ( c_member @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) ) @ B_x ) @ 
% 4.66/1.27                v_G ) ) =>
% 4.66/1.27            ( c_Hoare__Mirabelle_Otriple__valid @ t_a @ v_n @ B_x ) ) ) =>
% 4.66/1.27        ( ![B_Z:$i,B_s:$i]:
% 4.66/1.27          ( ( v_P @ B_Z @ B_s ) =>
% 4.66/1.27            ( ![B_s_H:$i]:
% 4.66/1.27              ( ( c_Natural_Oevaln @
% 4.66/1.27                  ( c_Com_Ocom_OWhile @ v_b @ v_c ) @ B_s @ v_n @ B_s_H ) =>
% 4.66/1.27                ( ( v_P @ B_Z @ B_s_H ) & 
% 4.66/1.27                  ( ~( hBOOL @ ( hAPP @ v_b @ B_s_H ) ) ) ) ) ) ) ) )),
% 4.66/1.27    inference('cnf.neg', [status(esa)], [conj_2])).
% 4.66/1.27  thf(zip_derived_cl152, plain, ( (v_P @ sk__21 @ sk__22)),
% 4.66/1.27      inference('cnf', [status(esa)], [zf_stmt_0])).
% 4.66/1.27  thf(zip_derived_cl150, plain,
% 4.66/1.27      ( (c_Natural_Oevaln @ (c_Com_Ocom_OWhile @ v_b @ v_c) @ sk__22 @ v_n @ 
% 4.66/1.27         sk__23)),
% 4.66/1.27      inference('cnf', [status(esa)], [zf_stmt_0])).
% 4.66/1.27  thf(conj_1, axiom,
% 4.66/1.27    (![B_s:$i,B_s_H:$i]:
% 4.66/1.27     ( ( c_Natural_Oevaln @
% 4.66/1.27         ( c_Com_Ocom_OWhile @ v_b @ v_c ) @ B_s @ v_n @ B_s_H ) =>
% 4.66/1.27       ( ( ![B_x:$i]:
% 4.66/1.27           ( ( hBOOL @
% 4.66/1.27               ( hAPP @
% 4.66/1.27                 ( hAPP @
% 4.66/1.27                   ( c_member @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) ) @ B_x ) @ 
% 4.66/1.27                 v_G ) ) =>
% 4.66/1.27             ( c_Hoare__Mirabelle_Otriple__valid @ t_a @ v_n @ B_x ) ) ) =>
% 4.66/1.27         ( ![B_Z:$i]:
% 4.66/1.27           ( ( v_P @ B_Z @ B_s ) =>
% 4.66/1.27             ( ( ~( hBOOL @ ( hAPP @ v_b @ B_s_H ) ) ) & ( v_P @ B_Z @ B_s_H ) ) ) ) ) ))).
% 4.66/1.27  thf(zf_stmt_1, type, zip_tseitin_15 : $i > $i > $o).
% 4.66/1.27  thf(zf_stmt_2, axiom,
% 4.66/1.27    (![B_Z:$i,B_s_H:$i]:
% 4.66/1.27     ( ( zip_tseitin_15 @ B_Z @ B_s_H ) =>
% 4.66/1.27       ( ( v_P @ B_Z @ B_s_H ) & ( ~( hBOOL @ ( hAPP @ v_b @ B_s_H ) ) ) ) ))).
% 4.66/1.27  thf(zf_stmt_3, type, zip_tseitin_14 : $i > $o).
% 4.66/1.27  thf(zf_stmt_4, axiom,
% 4.66/1.27    (![B_x:$i]:
% 4.66/1.27     ( ( ( hBOOL @
% 4.66/1.27           ( hAPP @
% 4.66/1.27             ( hAPP @
% 4.66/1.27               ( c_member @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) ) @ B_x ) @ 
% 4.66/1.27             v_G ) ) =>
% 4.66/1.27         ( c_Hoare__Mirabelle_Otriple__valid @ t_a @ v_n @ B_x ) ) =>
% 4.66/1.27       ( zip_tseitin_14 @ B_x ) ))).
% 4.66/1.27  thf(zf_stmt_5, axiom,
% 4.66/1.27    (![B_s:$i,B_s_H:$i]:
% 4.66/1.27     ( ( c_Natural_Oevaln @
% 4.66/1.27         ( c_Com_Ocom_OWhile @ v_b @ v_c ) @ B_s @ v_n @ B_s_H ) =>
% 4.66/1.27       ( ( ![B_x:$i]: ( zip_tseitin_14 @ B_x ) ) =>
% 4.66/1.27         ( ![B_Z:$i]:
% 4.66/1.27           ( ( v_P @ B_Z @ B_s ) => ( zip_tseitin_15 @ B_Z @ B_s_H ) ) ) ) ))).
% 4.66/1.27  thf(zip_derived_cl148, plain,
% 4.66/1.27      (![X0 : $i, X1 : $i, X2 : $i]:
% 4.66/1.27         (~ (zip_tseitin_14 @ sk__20)
% 4.66/1.27          | ~ (c_Natural_Oevaln @ (c_Com_Ocom_OWhile @ v_b @ v_c) @ X0 @ v_n @ 
% 4.66/1.27               X1)
% 4.66/1.27          |  (zip_tseitin_15 @ X2 @ X1)
% 4.66/1.27          | ~ (v_P @ X2 @ X0))),
% 4.66/1.27      inference('cnf', [status(esa)], [zf_stmt_5])).
% 4.66/1.27  thf(zip_derived_cl145, plain,
% 4.66/1.27      (![X0 : $i]:
% 4.66/1.27         ( (zip_tseitin_14 @ X0)
% 4.66/1.27          |  (hBOOL @ 
% 4.66/1.27              (hAPP @ 
% 4.66/1.27               (hAPP @ (c_member @ (tc_Hoare__Mirabelle_Otriple @ t_a)) @ X0) @ 
% 4.66/1.27               v_G)))),
% 4.66/1.27      inference('cnf', [status(esa)], [zf_stmt_4])).
% 4.66/1.27  thf(zip_derived_cl149, plain,
% 4.66/1.27      (![X0 : $i]:
% 4.66/1.27         ( (c_Hoare__Mirabelle_Otriple__valid @ t_a @ v_n @ X0)
% 4.66/1.27          | ~ (hBOOL @ 
% 4.66/1.27               (hAPP @ 
% 4.66/1.27                (hAPP @ (c_member @ (tc_Hoare__Mirabelle_Otriple @ t_a)) @ X0) @ 
% 4.66/1.27                v_G)))),
% 4.66/1.27      inference('cnf', [status(esa)], [zf_stmt_0])).
% 4.66/1.27  thf(zip_derived_cl166, plain,
% 4.66/1.27      (![X0 : $i]:
% 4.66/1.27         ( (zip_tseitin_14 @ X0)
% 4.66/1.27          |  (c_Hoare__Mirabelle_Otriple__valid @ t_a @ v_n @ X0))),
% 4.66/1.27      inference('sup-', [status(thm)], [zip_derived_cl145, zip_derived_cl149])).
% 4.66/1.27  thf(zip_derived_cl144, plain,
% 4.66/1.27      (![X0 : $i]:
% 4.66/1.27         ( (zip_tseitin_14 @ X0)
% 4.66/1.27          | ~ (c_Hoare__Mirabelle_Otriple__valid @ t_a @ v_n @ X0))),
% 4.66/1.27      inference('cnf', [status(esa)], [zf_stmt_4])).
% 4.66/1.27  thf(zip_derived_cl175, plain, (![X0 : $i]:  (zip_tseitin_14 @ X0)),
% 4.66/1.27      inference('clc', [status(thm)], [zip_derived_cl166, zip_derived_cl144])).
% 4.66/1.27  thf(zip_derived_cl176, plain,
% 4.66/1.27      (![X0 : $i, X1 : $i, X2 : $i]:
% 4.66/1.27         (~ (c_Natural_Oevaln @ (c_Com_Ocom_OWhile @ v_b @ v_c) @ X0 @ v_n @ X1)
% 4.66/1.27          |  (zip_tseitin_15 @ X2 @ X1)
% 4.66/1.27          | ~ (v_P @ X2 @ X0))),
% 4.66/1.27      inference('demod', [status(thm)], [zip_derived_cl148, zip_derived_cl175])).
% 4.66/1.27  thf(zip_derived_cl206, plain,
% 4.66/1.27      (![X0 : $i]: (~ (v_P @ X0 @ sk__22) |  (zip_tseitin_15 @ X0 @ sk__23))),
% 4.66/1.27      inference('sup-', [status(thm)], [zip_derived_cl150, zip_derived_cl176])).
% 4.66/1.27  thf(zip_derived_cl151, plain,
% 4.66/1.27      ((~ (v_P @ sk__21 @ sk__23) |  (hBOOL @ (hAPP @ v_b @ sk__23)))),
% 4.66/1.27      inference('cnf', [status(esa)], [zf_stmt_0])).
% 4.66/1.27  thf(zip_derived_cl147, plain,
% 4.66/1.27      (![X0 : $i, X1 : $i]:
% 4.66/1.27         (~ (hBOOL @ (hAPP @ v_b @ X0)) | ~ (zip_tseitin_15 @ X1 @ X0))),
% 4.66/1.27      inference('cnf', [status(esa)], [zf_stmt_2])).
% 4.66/1.27  thf(zip_derived_cl154, plain,
% 4.66/1.27      (![X0 : $i]:
% 4.66/1.27         (~ (v_P @ sk__21 @ sk__23) | ~ (zip_tseitin_15 @ X0 @ sk__23))),
% 4.66/1.27      inference('sup-', [status(thm)], [zip_derived_cl151, zip_derived_cl147])).
% 4.66/1.27  thf(zip_derived_cl206, plain,
% 4.66/1.27      (![X0 : $i]: (~ (v_P @ X0 @ sk__22) |  (zip_tseitin_15 @ X0 @ sk__23))),
% 4.66/1.27      inference('sup-', [status(thm)], [zip_derived_cl150, zip_derived_cl176])).
% 4.66/1.27  thf(zip_derived_cl146, plain,
% 4.66/1.27      (![X0 : $i, X1 : $i]: ( (v_P @ X0 @ X1) | ~ (zip_tseitin_15 @ X0 @ X1))),
% 4.66/1.27      inference('cnf', [status(esa)], [zf_stmt_2])).
% 4.66/1.27  thf(zip_derived_cl207, plain,
% 4.66/1.27      (![X0 : $i]: (~ (v_P @ X0 @ sk__22) |  (v_P @ X0 @ sk__23))),
% 4.66/1.27      inference('sup-', [status(thm)], [zip_derived_cl206, zip_derived_cl146])).
% 4.66/1.27  thf(zip_derived_cl152, plain, ( (v_P @ sk__21 @ sk__22)),
% 4.66/1.27      inference('cnf', [status(esa)], [zf_stmt_0])).
% 4.66/1.27  thf(zip_derived_cl210, plain, ( (v_P @ sk__21 @ sk__23)),
% 4.66/1.27      inference('sup+', [status(thm)], [zip_derived_cl207, zip_derived_cl152])).
% 4.66/1.27  thf(zip_derived_cl214, plain, (![X0 : $i]: ~ (zip_tseitin_15 @ X0 @ sk__23)),
% 4.66/1.27      inference('demod', [status(thm)], [zip_derived_cl154, zip_derived_cl210])).
% 4.66/1.27  thf(zip_derived_cl218, plain, (![X0 : $i]: ~ (v_P @ X0 @ sk__22)),
% 4.66/1.27      inference('sup-', [status(thm)], [zip_derived_cl206, zip_derived_cl214])).
% 4.66/1.27  thf(zip_derived_cl219, plain, ($false),
% 4.66/1.27      inference('sup-', [status(thm)], [zip_derived_cl152, zip_derived_cl218])).
% 4.66/1.27  
% 4.66/1.27  % SZS output end Refutation
% 4.66/1.27  
% 4.66/1.27  
% 4.66/1.28  % Terminating...
% 4.66/1.34  % Runner terminated.
% 4.66/1.36  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------