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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWW390+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.4MvUBjkb3Y true

% Computer : n015.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 05:02:43 PM UTC 2025

% Result   : Theorem 171.30s 25.24s
% Output   : Refutation 171.30s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   17 (  15 unt;   0 typ;   0 def)
%            Number of atoms       :   19 (   8 equ;   0 cnn)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :  276 (   4   ~;   0   |;   0   &; 270   @)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   20 (   9 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   21 (  19 usr;   8 con; 0-3 aty)
%            Number of variables   :   38 (   0   ^;  30   !;   8   ?;  38   :)

% Comments : 
%------------------------------------------------------------------------------
thf(c_fequal_type,type,
    c_fequal: $i ).

thf(c_Set_OCollect_type,type,
    c_Set_OCollect: $i > $i ).

thf(v_G_type,type,
    v_G: $i ).

thf(c_Set_Oinsert_type,type,
    c_Set_Oinsert: $i > $i ).

thf(c_Hoare__Mirabelle_Ohoare__derivs_type,type,
    c_Hoare__Mirabelle_Ohoare__derivs: $i > $i > $i > $o ).

thf(c_COMBK_type,type,
    c_COMBK: $i > $i > $i ).

thf(tc_Com_Ostate_type,type,
    tc_Com_Ostate: $i ).

thf(hAPP_type,type,
    hAPP: $i > $i > $i ).

thf(c_List_Oset_type,type,
    c_List_Oset: $i > $i ).

thf(c_Orderings_Obot__class_Obot_type,type,
    c_Orderings_Obot__class_Obot: $i > $i ).

thf(c_Hoare__Mirabelle_Otriple_Otriple_type,type,
    c_Hoare__Mirabelle_Otriple_Otriple: $i > $i ).

thf(tc_HOL_Obool_type,type,
    tc_HOL_Obool: $i ).

thf(t_a_type,type,
    t_a: $i ).

thf(c_fFalse_type,type,
    c_fFalse: $i ).

thf(tc_Hoare__Mirabelle_Otriple_type,type,
    tc_Hoare__Mirabelle_Otriple: $i > $i ).

thf(v_c_type,type,
    v_c: $i ).

thf(v_P_type,type,
    v_P: $i > $i > $o ).

thf(c_List_Olist_ONil_type,type,
    c_List_Olist_ONil: $i > $i ).

thf(tc_fun_type,type,
    tc_fun: $i > $i > $i ).

thf(fact_falseE,axiom,
    ! [V_Q_2: $i,V_ca_2: $i,V_Ga_2: $i,T_b: $i] : ( c_Hoare__Mirabelle_Ohoare__derivs @ T_b @ V_Ga_2 @ ( hAPP @ ( hAPP @ ( c_Set_Oinsert @ ( tc_Hoare__Mirabelle_Otriple @ T_b ) ) @ ( hAPP @ ( hAPP @ ( hAPP @ ( c_Hoare__Mirabelle_Otriple_Otriple @ T_b ) @ ( hAPP @ ( c_COMBK @ ( tc_fun @ tc_Com_Ostate @ tc_HOL_Obool ) @ T_b ) @ ( hAPP @ ( c_COMBK @ tc_HOL_Obool @ tc_Com_Ostate ) @ c_fFalse ) ) ) @ V_ca_2 ) @ V_Q_2 ) ) @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ ( tc_Hoare__Mirabelle_Otriple @ T_b ) @ tc_HOL_Obool ) ) ) ) ).

thf(zip_derived_cl865,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] : ( c_Hoare__Mirabelle_Ohoare__derivs @ X0 @ X1 @ ( hAPP @ ( hAPP @ ( c_Set_Oinsert @ ( tc_Hoare__Mirabelle_Otriple @ X0 ) ) @ ( hAPP @ ( hAPP @ ( hAPP @ ( c_Hoare__Mirabelle_Otriple_Otriple @ X0 ) @ ( hAPP @ ( c_COMBK @ ( tc_fun @ tc_Com_Ostate @ tc_HOL_Obool ) @ X0 ) @ ( hAPP @ ( c_COMBK @ tc_HOL_Obool @ tc_Com_Ostate ) @ c_fFalse ) ) ) @ X2 ) @ X3 ) ) @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ ( tc_Hoare__Mirabelle_Otriple @ X0 ) @ tc_HOL_Obool ) ) ) ),
    inference(cnf,[status(esa)],[fact_falseE]) ).

thf(fact_List_Oset_Osimps_I1_J,axiom,
    ! [T_b: $i] :
      ( ( hAPP @ ( c_List_Oset @ T_b ) @ ( c_List_Olist_ONil @ T_b ) )
      = ( c_Orderings_Obot__class_Obot @ ( tc_fun @ T_b @ tc_HOL_Obool ) ) ) ).

thf(zip_derived_cl1355,plain,
    ! [X0: $i] :
      ( ( hAPP @ ( c_List_Oset @ X0 ) @ ( c_List_Olist_ONil @ X0 ) )
      = ( c_Orderings_Obot__class_Obot @ ( tc_fun @ X0 @ tc_HOL_Obool ) ) ),
    inference(cnf,[status(esa)],[fact_List_Oset_Osimps_I1_J]) ).

thf(fact_singleton__conv2,axiom,
    ! [V_a_2: $i,T_b: $i] :
      ( ( hAPP @ ( c_Set_OCollect @ T_b ) @ ( hAPP @ c_fequal @ V_a_2 ) )
      = ( hAPP @ ( hAPP @ ( c_Set_Oinsert @ T_b ) @ V_a_2 ) @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ T_b @ tc_HOL_Obool ) ) ) ) ).

thf(zip_derived_cl1228,plain,
    ! [X0: $i,X1: $i] :
      ( ( hAPP @ ( c_Set_OCollect @ X0 ) @ ( hAPP @ c_fequal @ X1 ) )
      = ( hAPP @ ( hAPP @ ( c_Set_Oinsert @ X0 ) @ X1 ) @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ X0 @ tc_HOL_Obool ) ) ) ),
    inference(cnf,[status(esa)],[fact_singleton__conv2]) ).

thf(zip_derived_cl1355_001,plain,
    ! [X0: $i] :
      ( ( hAPP @ ( c_List_Oset @ X0 ) @ ( c_List_Olist_ONil @ X0 ) )
      = ( c_Orderings_Obot__class_Obot @ ( tc_fun @ X0 @ tc_HOL_Obool ) ) ),
    inference(cnf,[status(esa)],[fact_List_Oset_Osimps_I1_J]) ).

thf(zip_derived_cl6112,plain,
    ! [X0: $i,X1: $i] :
      ( ( hAPP @ ( c_Set_OCollect @ X0 ) @ ( hAPP @ c_fequal @ X1 ) )
      = ( hAPP @ ( hAPP @ ( c_Set_Oinsert @ X0 ) @ X1 ) @ ( hAPP @ ( c_List_Oset @ X0 ) @ ( c_List_Olist_ONil @ X0 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl1228,zip_derived_cl1355]) ).

thf(zip_derived_cl47388,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] : ( c_Hoare__Mirabelle_Ohoare__derivs @ X0 @ X1 @ ( hAPP @ ( c_Set_OCollect @ ( tc_Hoare__Mirabelle_Otriple @ X0 ) ) @ ( hAPP @ c_fequal @ ( hAPP @ ( hAPP @ ( hAPP @ ( c_Hoare__Mirabelle_Otriple_Otriple @ X0 ) @ ( hAPP @ ( c_COMBK @ ( tc_fun @ tc_Com_Ostate @ tc_HOL_Obool ) @ X0 ) @ ( hAPP @ ( c_COMBK @ tc_HOL_Obool @ tc_Com_Ostate ) @ c_fFalse ) ) ) @ X2 ) @ X3 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl865,zip_derived_cl1355,zip_derived_cl6112]) ).

thf(conj_0,conjecture,
    ( ? [B_Z: $i,B_x1: $i] : ( v_P @ B_Z @ B_x1 )
   => ? [B_P_H: $i,B_Q_H: $i] : ( c_Hoare__Mirabelle_Ohoare__derivs @ t_a @ v_G @ ( hAPP @ ( hAPP @ ( c_Set_Oinsert @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) ) @ ( hAPP @ ( hAPP @ ( hAPP @ ( c_Hoare__Mirabelle_Otriple_Otriple @ t_a ) @ B_P_H ) @ v_c ) @ B_Q_H ) ) @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) @ tc_HOL_Obool ) ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ? [B_Z: $i,B_x1: $i] : ( v_P @ B_Z @ B_x1 )
     => ? [B_P_H: $i,B_Q_H: $i] : ( c_Hoare__Mirabelle_Ohoare__derivs @ t_a @ v_G @ ( hAPP @ ( hAPP @ ( c_Set_Oinsert @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) ) @ ( hAPP @ ( hAPP @ ( hAPP @ ( c_Hoare__Mirabelle_Otriple_Otriple @ t_a ) @ B_P_H ) @ v_c ) @ B_Q_H ) ) @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) @ tc_HOL_Obool ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[conj_0]) ).

thf(zip_derived_cl1498,plain,
    ! [X0: $i,X1: $i] :
      ~ ( c_Hoare__Mirabelle_Ohoare__derivs @ t_a @ v_G @ ( hAPP @ ( hAPP @ ( c_Set_Oinsert @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) ) @ ( hAPP @ ( hAPP @ ( hAPP @ ( c_Hoare__Mirabelle_Otriple_Otriple @ t_a ) @ X0 ) @ v_c ) @ X1 ) ) @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) @ tc_HOL_Obool ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1355_002,plain,
    ! [X0: $i] :
      ( ( hAPP @ ( c_List_Oset @ X0 ) @ ( c_List_Olist_ONil @ X0 ) )
      = ( c_Orderings_Obot__class_Obot @ ( tc_fun @ X0 @ tc_HOL_Obool ) ) ),
    inference(cnf,[status(esa)],[fact_List_Oset_Osimps_I1_J]) ).

thf(zip_derived_cl2508,plain,
    ! [X0: $i,X1: $i] :
      ~ ( c_Hoare__Mirabelle_Ohoare__derivs @ t_a @ v_G @ ( hAPP @ ( hAPP @ ( c_Set_Oinsert @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) ) @ ( hAPP @ ( hAPP @ ( hAPP @ ( c_Hoare__Mirabelle_Otriple_Otriple @ t_a ) @ X0 ) @ v_c ) @ X1 ) ) @ ( hAPP @ ( c_List_Oset @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) ) @ ( c_List_Olist_ONil @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl1498,zip_derived_cl1355]) ).

thf(zip_derived_cl6112_003,plain,
    ! [X0: $i,X1: $i] :
      ( ( hAPP @ ( c_Set_OCollect @ X0 ) @ ( hAPP @ c_fequal @ X1 ) )
      = ( hAPP @ ( hAPP @ ( c_Set_Oinsert @ X0 ) @ X1 ) @ ( hAPP @ ( c_List_Oset @ X0 ) @ ( c_List_Olist_ONil @ X0 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl1228,zip_derived_cl1355]) ).

thf(zip_derived_cl6113,plain,
    ! [X0: $i,X1: $i] :
      ~ ( c_Hoare__Mirabelle_Ohoare__derivs @ t_a @ v_G @ ( hAPP @ ( c_Set_OCollect @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) ) @ ( hAPP @ c_fequal @ ( hAPP @ ( hAPP @ ( hAPP @ ( c_Hoare__Mirabelle_Otriple_Otriple @ t_a ) @ X0 ) @ v_c ) @ X1 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl2508,zip_derived_cl6112]) ).

thf(zip_derived_cl47390,plain,
    $false,
    inference('sup-',[status(thm)],[zip_derived_cl47388,zip_derived_cl6113]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SWW390+1 : TPTP v9.2.0. Released v5.2.0.
% 0.03/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.4MvUBjkb3Y true
% 0.14/0.35  % Computer : n015.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Wed Oct  1 12:10:08 EDT 2025
% 0.14/0.35  % CPUTime  : 
% 0.14/0.35  % Running portfolio for 300 s
% 0.14/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35  % Number of cores: 8
% 0.14/0.35  % Python version: Python 3.6.8
% 0.14/0.35  % Running in FO mode
% 0.55/0.65  % Total configuration time : 435
% 0.55/0.65  % Estimated wc time : 1092
% 0.55/0.65  % Estimated cpu time (7 cpus) : 156.0
% 0.56/0.72  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.56/0.73  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.56/0.73  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.56/0.73  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.58/0.75  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.58/0.76  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.58/0.78  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 171.30/25.24  % Solved by fo/fo3_bce.sh.
% 171.30/25.24  % BCE start: 1499
% 171.30/25.24  % BCE eliminated: 103
% 171.30/25.24  % PE start: 1396
% 171.30/25.24  logic: eq
% 171.30/25.24  % PE eliminated: 13
% 171.30/25.24  % done 2887 iterations in 24.472s
% 171.30/25.24  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 171.30/25.24  % SZS output start Refutation
% See solution above
% 171.30/25.24  
% 171.30/25.24  
% 171.30/25.24  % Terminating...
% 171.81/25.32  % Runner terminated.
% 171.81/25.34  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------