TSTP Solution File: CSR138^2 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : CSR138^2 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.ZuVfcvxfYE true

% Computer : n017.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 : Wed Aug 30 22:08:10 EDT 2023

% Result   : Theorem 1.45s 0.92s
% Output   : Refutation 1.45s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   23
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   45 (  12 unt;   6 typ;   0 def)
%            Number of atoms       :  186 ( 105 equ;  24 cnn)
%            Maximal formula atoms :    5 (   4 avg)
%            Number of connectives :  209 (  65   ~;  17   |;  43   &;  65   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   26 (  26   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   13 (   6 usr;  11 con; 0-2 aty)
%                                         (   0  !!;  19  ??;   0 @@+;   0 @@-)
%            Number of variables   :  148 ( 115   ^;  25   !;   8   ?; 148   :)

% Comments : 
%------------------------------------------------------------------------------
thf(lBill_THFTYPE_i_type,type,
    lBill_THFTYPE_i: $i ).

thf(lAnna_THFTYPE_i_type,type,
    lAnna_THFTYPE_i: $i ).

thf(likes_THFTYPE_IiioI_type,type,
    likes_THFTYPE_IiioI: $i > $i > $o ).

thf(lSue_THFTYPE_i_type,type,
    lSue_THFTYPE_i: $i ).

thf('#sk2_type',type,
    '#sk2': $i ).

thf('#sk1_type',type,
    '#sk1': $i ).

thf(con,conjecture,
    ? [Q: $i > $i > $o,R: $i > $i > $o,Y: $i] :
      ( ( R @ Y @ lBill_THFTYPE_i )
      & ( Q @ Y @ lAnna_THFTYPE_i )
      & ( R
       != ( ^ [Z: $i,W: $i] : $true ) )
      & ( Q
       != ( ^ [Z: $i,W: $i] : $true ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ? [Q: $i > $i > $o,R: $i > $i > $o,Y: $i] :
        ( ( R @ Y @ lBill_THFTYPE_i )
        & ( Q @ Y @ lAnna_THFTYPE_i )
        & ( R
         != ( ^ [Z: $i,W: $i] : $true ) )
        & ( Q
         != ( ^ [Z: $i,W: $i] : $true ) ) ),
    inference('cnf.neg',[status(esa)],[con]) ).

thf(zip_derived_cl19,plain,
    ~ ( ??
      @ ^ [Y0: $i > $i > $o] :
          ( ??
          @ ^ [Y1: $i > $i > $o] :
              ( ??
              @ ^ [Y2: $i] :
                  ( ( Y1 @ Y2 @ lBill_THFTYPE_i )
                  & ( Y0 @ Y2 @ lAnna_THFTYPE_i )
                  & ( Y1
                   != ( ^ [Y3: $i,Y4: $i] : $true ) )
                  & ( Y0
                   != ( ^ [Y3: $i,Y4: $i] : $true ) ) ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl45,plain,
    ! [X2: $i > $i > $o] :
      ~ ( ??
        @ ^ [Y0: $i > $i > $o] :
            ( ??
            @ ^ [Y1: $i] :
                ( ( Y0 @ Y1 @ lBill_THFTYPE_i )
                & ( X2 @ Y1 @ lAnna_THFTYPE_i )
                & ( Y0
                 != ( ^ [Y2: $i,Y3: $i] : $true ) )
                & ( X2
                 != ( ^ [Y2: $i,Y3: $i] : $true ) ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl19]) ).

thf(zip_derived_cl49,plain,
    ~ ( ??
      @ ^ [Y0: $i > $i > $o] :
          ( ??
          @ ^ [Y1: $i] :
              ( ( Y0 @ Y1 @ lBill_THFTYPE_i )
              & ( Y1 = lAnna_THFTYPE_i )
              & ( Y0
               != ( ^ [Y2: $i,Y3: $i] : $true ) )
              & ( ( ^ [Y2: $i,Y3: $i] : ( Y2 = Y3 ) )
               != ( ^ [Y2: $i,Y3: $i] : $true ) ) ) ) ),
    inference('ho.refine.early.bird',[status(thm)],[zip_derived_cl45]) ).

thf(zip_derived_cl79,plain,
    ~ ( ??
      @ ^ [Y0: $i > $i > $o] :
          ( ??
          @ ^ [Y1: $i] :
              ( ( Y0 @ Y1 @ lBill_THFTYPE_i )
              & ( Y1 = lAnna_THFTYPE_i )
              & ( Y0
               != ( ^ [Y2: $i,Y3: $i] : $true ) )
              & ( (=)
               != ( ^ [Y2: $i,Y3: $i] : $true ) ) ) ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl49]) ).

thf(zip_derived_cl80,plain,
    ! [X2: $i > $i > $o] :
      ~ ( ??
        @ ^ [Y0: $i] :
            ( ( X2 @ Y0 @ lBill_THFTYPE_i )
            & ( Y0 = lAnna_THFTYPE_i )
            & ( X2
             != ( ^ [Y1: $i,Y2: $i] : $true ) )
            & ( (=)
             != ( ^ [Y1: $i,Y2: $i] : $true ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl79]) ).

thf(zip_derived_cl85,plain,
    ~ ( ??
      @ ^ [Y0: $i] :
          ( ( Y0 != lBill_THFTYPE_i )
          & ( Y0 = lAnna_THFTYPE_i )
          & ( ( ^ [Y1: $i,Y2: $i] : ( Y1 != Y2 ) )
           != ( ^ [Y1: $i,Y2: $i] : $true ) )
          & ( (=)
           != ( ^ [Y1: $i,Y2: $i] : $true ) ) ) ),
    inference('ho.refine.early.bird',[status(thm)],[zip_derived_cl80]) ).

thf(zip_derived_cl106,plain,
    ~ ( ??
      @ ^ [Y0: $i] :
          ( ( Y0 != lBill_THFTYPE_i )
          & ( Y0 = lAnna_THFTYPE_i )
          & ( !=
           != ( ^ [Y1: $i,Y2: $i] : $true ) )
          & ( (=)
           != ( ^ [Y1: $i,Y2: $i] : $true ) ) ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl85]) ).

thf(zip_derived_cl107,plain,
    ! [X2: $i] :
      ~ ( ( X2 != lBill_THFTYPE_i )
        & ( X2 = lAnna_THFTYPE_i )
        & ( !=
         != ( ^ [Y0: $i,Y1: $i] : $true ) )
        & ( (=)
         != ( ^ [Y0: $i,Y1: $i] : $true ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl106]) ).

thf(zip_derived_cl108,plain,
    ! [X2: $i] :
      ( ( X2 != lBill_THFTYPE_i )
      | ( X2 != lAnna_THFTYPE_i )
      | ( !=
       != ( ^ [Y0: $i,Y1: $i] : $true ) )
      | ( (=)
       != ( ^ [Y0: $i,Y1: $i] : $true ) ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl107]) ).

thf(zip_derived_cl109,plain,
    ! [X2: $i] :
      ( ( X2 = lBill_THFTYPE_i )
      | ( X2 != lAnna_THFTYPE_i )
      | ( !=
        = ( ^ [Y0: $i,Y1: $i] : $true ) )
      | ( (=)
        = ( ^ [Y0: $i,Y1: $i] : $true ) ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl108]) ).

thf(zip_derived_cl110,plain,
    ( ( (=)
      = ( ^ [Y0: $i,Y1: $i] : $true ) )
    | ( !=
      = ( ^ [Y0: $i,Y1: $i] : $true ) )
    | ( lAnna_THFTYPE_i = lBill_THFTYPE_i ) ),
    inference(simplify,[status(thm)],[zip_derived_cl109]) ).

thf(zip_derived_cl80_001,plain,
    ! [X2: $i > $i > $o] :
      ~ ( ??
        @ ^ [Y0: $i] :
            ( ( X2 @ Y0 @ lBill_THFTYPE_i )
            & ( Y0 = lAnna_THFTYPE_i )
            & ( X2
             != ( ^ [Y1: $i,Y2: $i] : $true ) )
            & ( (=)
             != ( ^ [Y1: $i,Y2: $i] : $true ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl79]) ).

thf(zip_derived_cl84,plain,
    ~ ( ??
      @ ^ [Y0: $i] :
          ( ( Y0 = lBill_THFTYPE_i )
          & ( Y0 = lAnna_THFTYPE_i )
          & ( ( ^ [Y1: $i,Y2: $i] : ( Y1 = Y2 ) )
           != ( ^ [Y1: $i,Y2: $i] : $true ) )
          & ( (=)
           != ( ^ [Y1: $i,Y2: $i] : $true ) ) ) ),
    inference('ho.refine.early.bird',[status(thm)],[zip_derived_cl80]) ).

thf(zip_derived_cl100,plain,
    ~ ( ??
      @ ^ [Y0: $i] :
          ( ( Y0 = lBill_THFTYPE_i )
          & ( Y0 = lAnna_THFTYPE_i )
          & ( (=)
           != ( ^ [Y1: $i,Y2: $i] : $true ) )
          & ( (=)
           != ( ^ [Y1: $i,Y2: $i] : $true ) ) ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl84]) ).

thf(zip_derived_cl101,plain,
    ~ ( ??
      @ ^ [Y0: $i] :
          ( ( Y0 = lAnna_THFTYPE_i )
          & ( (=)
           != ( ^ [Y1: $i,Y2: $i] : $true ) )
          & ( Y0 = lBill_THFTYPE_i ) ) ),
    inference('simplify boolean subterms',[status(thm)],[zip_derived_cl100]) ).

thf(zip_derived_cl102,plain,
    ! [X2: $i] :
      ~ ( ( X2 = lAnna_THFTYPE_i )
        & ( (=)
         != ( ^ [Y0: $i,Y1: $i] : $true ) )
        & ( X2 = lBill_THFTYPE_i ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl101]) ).

thf(zip_derived_cl103,plain,
    ! [X2: $i] :
      ( ( X2 != lAnna_THFTYPE_i )
      | ( (=)
       != ( ^ [Y0: $i,Y1: $i] : $true ) )
      | ( X2 != lBill_THFTYPE_i ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl102]) ).

thf(zip_derived_cl104,plain,
    ! [X2: $i] :
      ( ( X2 != lAnna_THFTYPE_i )
      | ( (=)
        = ( ^ [Y0: $i,Y1: $i] : $true ) )
      | ( X2 != lBill_THFTYPE_i ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl103]) ).

thf(zip_derived_cl105,plain,
    ( ( lAnna_THFTYPE_i != lBill_THFTYPE_i )
    | ( (=)
      = ( ^ [Y0: $i,Y1: $i] : $true ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl104]) ).

thf(zip_derived_cl111,plain,
    ( ( !=
      = ( ^ [Y0: $i,Y1: $i] : $true ) )
    | ( (=)
      = ( ^ [Y0: $i,Y1: $i] : $true ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl110,zip_derived_cl105]) ).

thf(zip_derived_cl219,plain,
    ! [X1: $i,X2: $i] :
      ( ( ( X1 != X2 )
        = ( ^ [Y0: $i,Y1: $i] : $true
          @ X1
          @ X2 ) )
      | ( (=)
        = ( ^ [Y0: $i,Y1: $i] : $true ) ) ),
    inference(ho_complete_eq,[status(thm)],[zip_derived_cl111]) ).

thf(zip_derived_cl222,plain,
    ! [X1: $i,X2: $i] :
      ( ( X1 != X2 )
      | ( (=)
        = ( ^ [Y0: $i,Y1: $i] : $true ) ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl219]) ).

thf(zip_derived_cl223,plain,
    ! [X1: $i,X2: $i] :
      ( ( X1 != X2 )
      | ( (=)
        = ( ^ [Y0: $i,Y1: $i] : $true ) ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl222]) ).

thf(zip_derived_cl224,plain,
    ( (=)
    = ( ^ [Y0: $i,Y1: $i] : $true ) ),
    inference(simplify,[status(thm)],[zip_derived_cl223]) ).

thf(zip_derived_cl226,plain,
    ! [X1: $i,X2: $i] :
      ( ( X1 = X2 )
      = ( ^ [Y0: $i,Y1: $i] : $true
        @ X1
        @ X2 ) ),
    inference(ho_complete_eq,[status(thm)],[zip_derived_cl224]) ).

thf(zip_derived_cl228,plain,
    ! [X1: $i,X2: $i] : ( X1 = X2 ),
    inference(ho_norm,[status(thm)],[zip_derived_cl226]) ).

thf(zip_derived_cl229,plain,
    ! [X1: $i,X2: $i] : ( X1 = X2 ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl228]) ).

thf(ax_072,axiom,
    likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ).

thf(zip_derived_cl14,plain,
    likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i,
    inference(cnf,[status(esa)],[ax_072]) ).

thf(zip_derived_cl234,plain,
    ! [X0: $i] : ( likes_THFTYPE_IiioI @ X0 @ lBill_THFTYPE_i ),
    inference('sup+',[status(thm)],[zip_derived_cl229,zip_derived_cl14]) ).

thf(zip_derived_cl229_002,plain,
    ! [X1: $i,X2: $i] : ( X1 = X2 ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl228]) ).

thf(ax_004,axiom,
    ? [X: $i,Y: $i] :
      ~ ( likes_THFTYPE_IiioI @ X @ Y ) ).

thf(zip_derived_cl3,plain,
    ( ??
    @ ^ [Y0: $i] :
        ( ??
        @ ^ [Y1: $i] : ( (~) @ ( likes_THFTYPE_IiioI @ Y0 @ Y1 ) ) ) ),
    inference(cnf,[status(esa)],[ax_004]) ).

thf(zip_derived_cl25,plain,
    ( ??
    @ ^ [Y0: $i] : ( (~) @ ( likes_THFTYPE_IiioI @ '#sk1' @ Y0 ) ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl3]) ).

thf(zip_derived_cl26,plain,
    ~ ( likes_THFTYPE_IiioI @ '#sk1' @ '#sk2' ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl25]) ).

thf(zip_derived_cl232,plain,
    ! [X0: $i] :
      ~ ( likes_THFTYPE_IiioI @ '#sk1' @ X0 ),
    inference('sup-',[status(thm)],[zip_derived_cl229,zip_derived_cl26]) ).

thf(zip_derived_cl282,plain,
    $false,
    inference('sup-',[status(thm)],[zip_derived_cl234,zip_derived_cl232]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : CSR138^2 : TPTP v8.1.2. Released v4.1.0.
% 0.07/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.ZuVfcvxfYE true
% 0.13/0.35  % Computer : n017.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Mon Aug 28 09:27:57 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  % Running portfolio for 300 s
% 0.13/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35  % Number of cores: 8
% 0.13/0.36  % Python version: Python 3.6.8
% 0.13/0.36  % Running in HO mode
% 0.20/0.66  % Total configuration time : 828
% 0.20/0.66  % Estimated wc time : 1656
% 0.20/0.66  % Estimated cpu time (8 cpus) : 207.0
% 1.31/0.75  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 1.31/0.75  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 1.31/0.76  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 1.31/0.76  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 1.31/0.76  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 1.31/0.76  % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 1.31/0.77  % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.31/0.80  % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 1.38/0.84  % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s
% 1.45/0.92  % Solved by lams/30_sp5.sh.
% 1.45/0.92  % done 27 iterations in 0.088s
% 1.45/0.92  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.45/0.92  % SZS output start Refutation
% See solution above
% 1.45/0.92  
% 1.45/0.92  
% 1.45/0.92  % Terminating...
% 1.56/0.98  % Runner terminated.
% 1.71/0.99  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------