TSTP Solution File: SWW375+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWW375+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.2hCW3dFXCW true

% Computer : n027.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 : Fri Sep  1 01:41:45 EDT 2023

% Result   : Theorem 14.27s 2.68s
% Output   : Refutation 14.27s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   27 (   9 unt;   9 typ;   0 def)
%            Number of atoms       :   35 (  12 equ;   0 cnn)
%            Maximal formula atoms :    5 (   1 avg)
%            Number of connectives :  120 (   6   ~;   3   |;   0   &;  97   @)
%                                         (   0 <=>;  11  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    4 (   4   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   13 (   9 usr;   9 con; 0-2 aty)
%                                         (   3  !!;   0  ??;   0 @@+;   0 @@-)
%            Number of variables   :   18 (   3   ^;  15   !;   0   ?;  18   :)

% Comments : 
%------------------------------------------------------------------------------
thf(c_Com_OWT__bodies_type,type,
    c_Com_OWT__bodies: $o ).

thf(v_pn_type,type,
    v_pn: $i ).

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

thf(v_y_type,type,
    v_y: $i ).

thf(tc_Com_Ocom_type,type,
    tc_Com_Ocom: $i ).

thf(c_Option_Ooption_OSome_type,type,
    c_Option_Ooption_OSome: $i > $i ).

thf(c_Com_OWT_type,type,
    c_Com_OWT: $i ).

thf(hBOOL_type,type,
    hBOOL: $i > $o ).

thf(c_Com_Obody_type,type,
    c_Com_Obody: $i ).

thf(conj_3,axiom,
    ( ( hAPP @ c_Com_Obody @ v_pn )
    = ( hAPP @ ( c_Option_Ooption_OSome @ tc_Com_Ocom ) @ v_y ) ) ).

thf(zip_derived_cl5228,plain,
    ( ( hAPP @ c_Com_Obody @ v_pn )
    = ( hAPP @ ( c_Option_Ooption_OSome @ tc_Com_Ocom ) @ v_y ) ),
    inference(cnf,[status(esa)],[conj_3]) ).

thf(fact_WT__bodiesD,axiom,
    ! [V_b: $i,V_pn: $i] :
      ( c_Com_OWT__bodies
     => ( ( ( hAPP @ c_Com_Obody @ V_pn )
          = ( hAPP @ ( c_Option_Ooption_OSome @ tc_Com_Ocom ) @ V_b ) )
       => ( hBOOL @ ( hAPP @ c_Com_OWT @ V_b ) ) ) ) ).

thf(zip_derived_cl1,plain,
    ( !!
    @ ^ [Y0: $i] :
        ( !!
        @ ^ [Y1: $i] :
            ( c_Com_OWT__bodies
           => ( ( ( hAPP @ c_Com_Obody @ Y1 )
                = ( hAPP @ ( c_Option_Ooption_OSome @ tc_Com_Ocom ) @ Y0 ) )
             => ( hBOOL @ ( hAPP @ c_Com_OWT @ Y0 ) ) ) ) ) ),
    inference(cnf,[status(esa)],[fact_WT__bodiesD]) ).

thf(zip_derived_cl5237,plain,
    ! [X2: $i] :
      ( !!
      @ ^ [Y0: $i] :
          ( c_Com_OWT__bodies
         => ( ( ( hAPP @ c_Com_Obody @ Y0 )
              = ( hAPP @ ( c_Option_Ooption_OSome @ tc_Com_Ocom ) @ X2 ) )
           => ( hBOOL @ ( hAPP @ c_Com_OWT @ X2 ) ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl1]) ).

thf(zip_derived_cl5238,plain,
    ! [X2: $i,X4: $i] :
      ( c_Com_OWT__bodies
     => ( ( ( hAPP @ c_Com_Obody @ X4 )
          = ( hAPP @ ( c_Option_Ooption_OSome @ tc_Com_Ocom ) @ X2 ) )
       => ( hBOOL @ ( hAPP @ c_Com_OWT @ X2 ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl5237]) ).

thf(conj_1,axiom,
    c_Com_OWT__bodies ).

thf(zip_derived_cl5226,plain,
    c_Com_OWT__bodies,
    inference(cnf,[status(esa)],[conj_1]) ).

thf(zip_derived_cl5239,plain,
    ! [X2: $i,X4: $i] :
      ( $true
     => ( ( ( hAPP @ c_Com_Obody @ X4 )
          = ( hAPP @ ( c_Option_Ooption_OSome @ tc_Com_Ocom ) @ X2 ) )
       => ( hBOOL @ ( hAPP @ c_Com_OWT @ X2 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl5238,zip_derived_cl5226]) ).

thf(zip_derived_cl5240,plain,
    ! [X2: $i,X4: $i] :
      ( ( ( hAPP @ c_Com_Obody @ X4 )
        = ( hAPP @ ( c_Option_Ooption_OSome @ tc_Com_Ocom ) @ X2 ) )
     => ( hBOOL @ ( hAPP @ c_Com_OWT @ X2 ) ) ),
    inference('simplify boolean subterms',[status(thm)],[zip_derived_cl5239]) ).

thf(zip_derived_cl5241,plain,
    ! [X2: $i,X4: $i] :
      ( ( ( hAPP @ c_Com_Obody @ X4 )
       != ( hAPP @ ( c_Option_Ooption_OSome @ tc_Com_Ocom ) @ X2 ) )
      | ( hBOOL @ ( hAPP @ c_Com_OWT @ X2 ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl5240]) ).

thf(zip_derived_cl5242,plain,
    ! [X2: $i,X4: $i] :
      ( ( ( hAPP @ c_Com_Obody @ X4 )
       != ( hAPP @ ( c_Option_Ooption_OSome @ tc_Com_Ocom ) @ X2 ) )
      | ( hBOOL @ ( hAPP @ c_Com_OWT @ X2 ) ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl5241]) ).

thf(zip_derived_cl5460,plain,
    ! [X0: $i] :
      ( ( ( hAPP @ c_Com_Obody @ X0 )
       != ( hAPP @ c_Com_Obody @ v_pn ) )
      | ( hBOOL @ ( hAPP @ c_Com_OWT @ v_y ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl5228,zip_derived_cl5242]) ).

thf(conj_4,conjecture,
    hBOOL @ ( hAPP @ c_Com_OWT @ v_y ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( hBOOL @ ( hAPP @ c_Com_OWT @ v_y ) ),
    inference('cnf.neg',[status(esa)],[conj_4]) ).

thf(zip_derived_cl5229,plain,
    ~ ( hBOOL @ ( hAPP @ c_Com_OWT @ v_y ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl5461,plain,
    ! [X0: $i] :
      ( ( hAPP @ c_Com_Obody @ X0 )
     != ( hAPP @ c_Com_Obody @ v_pn ) ),
    inference(clc,[status(thm)],[zip_derived_cl5460,zip_derived_cl5229]) ).

thf(zip_derived_cl5462,plain,
    $false,
    inference(eq_res,[status(thm)],[zip_derived_cl5461]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SWW375+1 : TPTP v8.1.2. Released v5.2.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.2hCW3dFXCW true
% 0.14/0.34  % Computer : n027.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Sun Aug 27 20:06:21 EDT 2023
% 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
% 0.21/0.67  % Total configuration time : 435
% 0.21/0.67  % Estimated wc time : 1092
% 0.21/0.67  % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.71  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.73  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.73  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.75  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.76  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.76  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.76  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.85/1.24  % /export/starexec/sandbox/solver/bin/fo/fo1_lcnf.sh running for 50s
% 14.27/2.68  % Solved by fo/fo1_lcnf.sh.
% 14.27/2.68  % done 268 iterations in 1.416s
% 14.27/2.68  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 14.27/2.68  % SZS output start Refutation
% See solution above
% 14.27/2.68  
% 14.27/2.68  
% 14.27/2.68  % Terminating...
% 14.78/2.77  % Runner terminated.
% 14.78/2.78  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------