TSTP Solution File: SWW470^1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWW470^1 : TPTP v8.1.2. Released v5.3.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.xsqoNS97zW true

% Computer : n003.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 01:42:02 EDT 2023

% Result   : Theorem 1.54s 1.17s
% Output   : Refutation 1.54s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   16
% Syntax   : Number of formulae    :   29 (   1 unt;  14 typ;   0 def)
%            Number of atoms       :  123 (   9 equ;   3 cnn)
%            Maximal formula atoms :   13 (   8 avg)
%            Number of connectives :  323 (  10   ~;   4   |;   5   &; 266   @)
%                                         (   0 <=>;  15  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   23 (  16 avg)
%            Number of types       :    5 (   4 usr)
%            Number of type conns  :   88 (  88   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   14 (  10 usr;   4 con; 0-4 aty)
%                                         (  23  !!;   0  ??;   0 @@+;   0 @@-)
%            Number of variables   :  104 (  72   ^;  32   !;   0   ?; 104   :)

% Comments : 
%------------------------------------------------------------------------------
thf(hoare_669141180iple_a_type,type,
    hoare_669141180iple_a: $tType ).

thf(com_type,type,
    com: $tType ).

thf(state_type,type,
    state: $tType ).

thf(x_a_type,type,
    x_a: $tType ).

thf(g_type,type,
    g: hoare_669141180iple_a > $o ).

thf(bot_bo280939947le_a_o_type,type,
    bot_bo280939947le_a_o: hoare_669141180iple_a > $o ).

thf(p_type,type,
    p: x_a > state > $o ).

thf(hoare_1295064928iple_a_type,type,
    hoare_1295064928iple_a: ( x_a > state > $o ) > com > ( x_a > state > $o ) > hoare_669141180iple_a ).

thf('#sk956_type',type,
    '#sk956': ( hoare_669141180iple_a > $o ) > com > ( x_a > state > $o ) > ( x_a > state > $o ) > state ).

thf(insert175534902iple_a_type,type,
    insert175534902iple_a: hoare_669141180iple_a > ( hoare_669141180iple_a > $o ) > hoare_669141180iple_a > $o ).

thf('#sk937_type',type,
    '#sk937': ( hoare_669141180iple_a > $o ) > com > ( x_a > state > $o ) > ( x_a > state > $o ) > x_a ).

thf(c_type,type,
    c: com ).

thf(b_type,type,
    b: state > $o ).

thf(hoare_2128652938rivs_a_type,type,
    hoare_2128652938rivs_a: ( hoare_669141180iple_a > $o ) > ( hoare_669141180iple_a > $o ) > $o ).

thf(conj_0,conjecture,
    ( hoare_2128652938rivs_a @ g
    @ ( insert175534902iple_a
      @ ( hoare_1295064928iple_a
        @ ^ [Z: x_a,S: state] : $false
        @ c
        @ ^ [Z: x_a,S: state] :
            ( ~ ( b @ S )
            & ( p @ Z @ S ) ) )
      @ bot_bo280939947le_a_o ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( hoare_2128652938rivs_a @ g
      @ ( insert175534902iple_a
        @ ( hoare_1295064928iple_a
          @ ^ [Z: x_a,S: state] : $false
          @ c
          @ ^ [Z: x_a,S: state] :
              ( ~ ( b @ S )
              & ( p @ Z @ S ) ) )
        @ bot_bo280939947le_a_o ) ),
    inference('cnf.neg',[status(esa)],[conj_0]) ).

thf(zip_derived_cl97,plain,
    ~ ( hoare_2128652938rivs_a @ g
      @ ( insert175534902iple_a
        @ ( hoare_1295064928iple_a
          @ ^ [Y0: x_a,Y1: state] : $false
          @ c
          @ ^ [Y0: x_a,Y1: state] :
              ( ( (~) @ ( b @ Y1 ) )
              & ( p @ Y0 @ Y1 ) ) )
        @ bot_bo280939947le_a_o ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(fact_5_escape,axiom,
    ! [G_7: hoare_669141180iple_a > $o,C_7: com,Q_10: x_a > state > $o,P_24: x_a > state > $o] :
      ( ! [Z: x_a,S: state] :
          ( ( P_24 @ Z @ S )
         => ( hoare_2128652938rivs_a @ G_7
            @ ( insert175534902iple_a
              @ ( hoare_1295064928iple_a
                @ ^ [Za: x_a,S_1: state] : ( S_1 = S )
                @ C_7
                @ ^ [Z_6: x_a] : ( Q_10 @ Z ) )
              @ bot_bo280939947le_a_o ) ) )
     => ( hoare_2128652938rivs_a @ G_7 @ ( insert175534902iple_a @ ( hoare_1295064928iple_a @ P_24 @ C_7 @ Q_10 ) @ bot_bo280939947le_a_o ) ) ) ).

thf(zip_derived_cl5,plain,
    ( !!
    @ ^ [Y0: hoare_669141180iple_a > $o] :
        ( !!
        @ ^ [Y1: com] :
            ( !!
            @ ^ [Y2: x_a > state > $o] :
                ( !!
                @ ^ [Y3: x_a > state > $o] :
                    ( ( !!
                      @ ^ [Y4: x_a] :
                          ( !!
                          @ ^ [Y5: state] :
                              ( ( Y3 @ Y4 @ Y5 )
                             => ( hoare_2128652938rivs_a @ Y0
                                @ ( insert175534902iple_a
                                  @ ( hoare_1295064928iple_a
                                    @ ^ [Y6: x_a,Y7: state] : ( Y7 = Y5 )
                                    @ Y1
                                    @ ^ [Y6: x_a] : ( Y2 @ Y4 ) )
                                  @ bot_bo280939947le_a_o ) ) ) ) )
                   => ( hoare_2128652938rivs_a @ Y0 @ ( insert175534902iple_a @ ( hoare_1295064928iple_a @ Y3 @ Y1 @ Y2 ) @ bot_bo280939947le_a_o ) ) ) ) ) ) ),
    inference(cnf,[status(esa)],[fact_5_escape]) ).

thf(zip_derived_cl613,plain,
    ! [X2: hoare_669141180iple_a > $o] :
      ( !!
      @ ^ [Y0: com] :
          ( !!
          @ ^ [Y1: x_a > state > $o] :
              ( !!
              @ ^ [Y2: x_a > state > $o] :
                  ( ( !!
                    @ ^ [Y3: x_a] :
                        ( !!
                        @ ^ [Y4: state] :
                            ( ( Y2 @ Y3 @ Y4 )
                           => ( hoare_2128652938rivs_a @ X2
                              @ ( insert175534902iple_a
                                @ ( hoare_1295064928iple_a
                                  @ ^ [Y5: x_a,Y6: state] : ( Y6 = Y4 )
                                  @ Y0
                                  @ ^ [Y5: x_a] : ( Y1 @ Y3 ) )
                                @ bot_bo280939947le_a_o ) ) ) ) )
                 => ( hoare_2128652938rivs_a @ X2 @ ( insert175534902iple_a @ ( hoare_1295064928iple_a @ Y2 @ Y0 @ Y1 ) @ bot_bo280939947le_a_o ) ) ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl5]) ).

thf(zip_derived_cl627,plain,
    ! [X2: hoare_669141180iple_a > $o,X4: com] :
      ( !!
      @ ^ [Y0: x_a > state > $o] :
          ( !!
          @ ^ [Y1: x_a > state > $o] :
              ( ( !!
                @ ^ [Y2: x_a] :
                    ( !!
                    @ ^ [Y3: state] :
                        ( ( Y1 @ Y2 @ Y3 )
                       => ( hoare_2128652938rivs_a @ X2
                          @ ( insert175534902iple_a
                            @ ( hoare_1295064928iple_a
                              @ ^ [Y4: x_a,Y5: state] : ( Y5 = Y3 )
                              @ X4
                              @ ^ [Y4: x_a] : ( Y0 @ Y2 ) )
                            @ bot_bo280939947le_a_o ) ) ) ) )
             => ( hoare_2128652938rivs_a @ X2 @ ( insert175534902iple_a @ ( hoare_1295064928iple_a @ Y1 @ X4 @ Y0 ) @ bot_bo280939947le_a_o ) ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl613]) ).

thf(zip_derived_cl628,plain,
    ! [X2: hoare_669141180iple_a > $o,X4: com,X6: x_a > state > $o] :
      ( !!
      @ ^ [Y0: x_a > state > $o] :
          ( ( !!
            @ ^ [Y1: x_a] :
                ( !!
                @ ^ [Y2: state] :
                    ( ( Y0 @ Y1 @ Y2 )
                   => ( hoare_2128652938rivs_a @ X2
                      @ ( insert175534902iple_a
                        @ ( hoare_1295064928iple_a
                          @ ^ [Y3: x_a,Y4: state] : ( Y4 = Y2 )
                          @ X4
                          @ ^ [Y3: x_a] : ( X6 @ Y1 ) )
                        @ bot_bo280939947le_a_o ) ) ) ) )
         => ( hoare_2128652938rivs_a @ X2 @ ( insert175534902iple_a @ ( hoare_1295064928iple_a @ Y0 @ X4 @ X6 ) @ bot_bo280939947le_a_o ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl627]) ).

thf(zip_derived_cl631,plain,
    ! [X2: hoare_669141180iple_a > $o,X4: com,X6: x_a > state > $o,X8: x_a > state > $o] :
      ( ( !!
        @ ^ [Y0: x_a] :
            ( !!
            @ ^ [Y1: state] :
                ( ( X8 @ Y0 @ Y1 )
               => ( hoare_2128652938rivs_a @ X2
                  @ ( insert175534902iple_a
                    @ ( hoare_1295064928iple_a
                      @ ^ [Y2: x_a,Y3: state] : ( Y3 = Y1 )
                      @ X4
                      @ ^ [Y2: x_a] : ( X6 @ Y0 ) )
                    @ bot_bo280939947le_a_o ) ) ) ) )
     => ( hoare_2128652938rivs_a @ X2 @ ( insert175534902iple_a @ ( hoare_1295064928iple_a @ X8 @ X4 @ X6 ) @ bot_bo280939947le_a_o ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl628]) ).

thf(zip_derived_cl634,plain,
    ! [X2: hoare_669141180iple_a > $o,X4: com,X6: x_a > state > $o,X8: x_a > state > $o] :
      ( ~ ( !!
          @ ^ [Y0: x_a] :
              ( !!
              @ ^ [Y1: state] :
                  ( ( X8 @ Y0 @ Y1 )
                 => ( hoare_2128652938rivs_a @ X2
                    @ ( insert175534902iple_a
                      @ ( hoare_1295064928iple_a
                        @ ^ [Y2: x_a,Y3: state] : ( Y3 = Y1 )
                        @ X4
                        @ ^ [Y2: x_a] : ( X6 @ Y0 ) )
                      @ bot_bo280939947le_a_o ) ) ) ) )
      | ( hoare_2128652938rivs_a @ X2 @ ( insert175534902iple_a @ ( hoare_1295064928iple_a @ X8 @ X4 @ X6 ) @ bot_bo280939947le_a_o ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl631]) ).

thf(zip_derived_cl635,plain,
    ! [X2: hoare_669141180iple_a > $o,X4: com,X6: x_a > state > $o,X8: x_a > state > $o] :
      ( ~ ( !!
          @ ^ [Y0: state] :
              ( ( X8 @ ( '#sk937' @ X2 @ X4 @ X6 @ X8 ) @ Y0 )
             => ( hoare_2128652938rivs_a @ X2
                @ ( insert175534902iple_a
                  @ ( hoare_1295064928iple_a
                    @ ^ [Y1: x_a,Y2: state] : ( Y2 = Y0 )
                    @ X4
                    @ ^ [Y1: x_a] : ( X6 @ ( '#sk937' @ X2 @ X4 @ X6 @ X8 ) ) )
                  @ bot_bo280939947le_a_o ) ) ) )
      | ( hoare_2128652938rivs_a @ X2 @ ( insert175534902iple_a @ ( hoare_1295064928iple_a @ X8 @ X4 @ X6 ) @ bot_bo280939947le_a_o ) ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl634]) ).

thf(zip_derived_cl636,plain,
    ! [X2: hoare_669141180iple_a > $o,X4: com,X6: x_a > state > $o,X8: x_a > state > $o] :
      ( ~ ( ( X8 @ ( '#sk937' @ X2 @ X4 @ X6 @ X8 ) @ ( '#sk956' @ X2 @ X4 @ X6 @ X8 ) )
         => ( hoare_2128652938rivs_a @ X2
            @ ( insert175534902iple_a
              @ ( hoare_1295064928iple_a
                @ ^ [Y0: x_a,Y1: state] :
                    ( Y1
                    = ( '#sk956' @ X2 @ X4 @ X6 @ X8 ) )
                @ X4
                @ ^ [Y0: x_a] : ( X6 @ ( '#sk937' @ X2 @ X4 @ X6 @ X8 ) ) )
              @ bot_bo280939947le_a_o ) ) )
      | ( hoare_2128652938rivs_a @ X2 @ ( insert175534902iple_a @ ( hoare_1295064928iple_a @ X8 @ X4 @ X6 ) @ bot_bo280939947le_a_o ) ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl635]) ).

thf(zip_derived_cl637,plain,
    ! [X2: hoare_669141180iple_a > $o,X4: com,X6: x_a > state > $o,X8: x_a > state > $o] :
      ( ( X8 @ ( '#sk937' @ X2 @ X4 @ X6 @ X8 ) @ ( '#sk956' @ X2 @ X4 @ X6 @ X8 ) )
      | ( hoare_2128652938rivs_a @ X2 @ ( insert175534902iple_a @ ( hoare_1295064928iple_a @ X8 @ X4 @ X6 ) @ bot_bo280939947le_a_o ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl636]) ).

thf(zip_derived_cl673,plain,
    ( ^ [Y0: x_a,Y1: state] : $false
    @ ( '#sk937' @ g @ c
      @ ^ [Y0: x_a,Y1: state] :
          ( ( (~) @ ( b @ Y1 ) )
          & ( p @ Y0 @ Y1 ) )
      @ ^ [Y0: x_a,Y1: state] : $false )
    @ ( '#sk956' @ g @ c
      @ ^ [Y0: x_a,Y1: state] :
          ( ( (~) @ ( b @ Y1 ) )
          & ( p @ Y0 @ Y1 ) )
      @ ^ [Y0: x_a,Y1: state] : $false ) ),
    inference('sup+',[status(thm)],[zip_derived_cl97,zip_derived_cl637]) ).

thf(zip_derived_cl690,plain,
    $false,
    inference(ho_norm,[status(thm)],[zip_derived_cl673]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SWW470^1 : TPTP v8.1.2. Released v5.3.0.
% 0.13/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.xsqoNS97zW true
% 0.14/0.36  % Computer : n003.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 300
% 0.14/0.36  % DateTime : Sun Aug 27 19:38:25 EDT 2023
% 0.21/0.36  % CPUTime  : 
% 0.21/0.36  % Running portfolio for 300 s
% 0.21/0.36  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.36  % Number of cores: 8
% 0.21/0.36  % Python version: Python 3.6.8
% 0.21/0.37  % Running in HO mode
% 0.22/0.68  % Total configuration time : 828
% 0.22/0.68  % Estimated wc time : 1656
% 0.22/0.68  % Estimated cpu time (8 cpus) : 207.0
% 0.22/0.76  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.22/0.76  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.22/0.76  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 1.17/0.77  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 1.17/0.77  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 1.17/0.77  % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 1.17/0.78  % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.17/0.78  % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 1.51/0.82  % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s
% 1.54/1.16  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif.sh running for 56s
% 1.54/1.17  % Solved by lams/35_full_unif4.sh.
% 1.54/1.17  % done 64 iterations in 0.366s
% 1.54/1.17  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.54/1.17  % SZS output start Refutation
% See solution above
% 1.54/1.17  
% 1.54/1.17  
% 1.54/1.17  % Terminating...
% 6.79/1.48  % Runner terminated.
% 6.79/1.50  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------