TSTP Solution File: CSR150^1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : CSR150^1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.KQTyYRxebz 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 : Wed Aug 30 22:08:16 EDT 2023

% Result   : Theorem 0.22s 0.77s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   41 (   8 unt;  10 typ;   0 def)
%            Number of atoms       :   68 (   3 equ;   0 cnn)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :  196 (  27   ~;  21   |;   2   &; 144   @)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   14 (  14   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   12 (  10 usr;   4 con; 0-2 aty)
%            Number of variables   :   45 (   8   ^;  33   !;   4   ?;  45   :)

% Comments : 
%------------------------------------------------------------------------------
thf(lJohn_THFTYPE_i_type,type,
    lJohn_THFTYPE_i: $i ).

thf(grandparent_THFTYPE_IiioI_type,type,
    grandparent_THFTYPE_IiioI: $i > $i > $o ).

thf(n3_THFTYPE_i_type,type,
    n3_THFTYPE_i: $i ).

thf(sk__type,type,
    sk_: $i > $i > $i ).

thf(parent_THFTYPE_IiioI_type,type,
    parent_THFTYPE_IiioI: $i > $i > $o ).

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

thf(ltet_THFTYPE_IiioI_type,type,
    ltet_THFTYPE_IiioI: $i > $i > $o ).

thf(lCardinalityFn_THFTYPE_IIioIiI_type,type,
    lCardinalityFn_THFTYPE_IIioIiI: ( $i > $o ) > $i ).

thf(sk__1_type,type,
    sk__1: $i > $i > $i ).

thf(grandchild_THFTYPE_IiioI_type,type,
    grandchild_THFTYPE_IiioI: $i > $i > $o ).

thf(ax_002,axiom,
    ! [X: $i,Y: $i] :
      ( ( grandchild_THFTYPE_IiioI @ X @ Y )
    <=> ? [Z: $i] :
          ( ( parent_THFTYPE_IiioI @ Y @ Z )
          & ( parent_THFTYPE_IiioI @ Z @ X ) ) ) ).

thf(zip_derived_cl5,plain,
    ! [X0: $i,X1: $i] :
      ( ( parent_THFTYPE_IiioI @ ( sk__1 @ X0 @ X1 ) @ X1 )
      | ~ ( grandchild_THFTYPE_IiioI @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[ax_002]) ).

thf(zip_derived_cl4,plain,
    ! [X0: $i,X1: $i] :
      ( ( parent_THFTYPE_IiioI @ X0 @ ( sk__1 @ X0 @ X1 ) )
      | ~ ( grandchild_THFTYPE_IiioI @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[ax_002]) ).

thf(ax,axiom,
    ! [X: $i,Y: $i] :
      ( ( grandparent_THFTYPE_IiioI @ X @ Y )
    <=> ? [Z: $i] :
          ( ( parent_THFTYPE_IiioI @ Z @ Y )
          & ( parent_THFTYPE_IiioI @ X @ Z ) ) ) ).

thf(zip_derived_cl2,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( grandparent_THFTYPE_IiioI @ X0 @ X1 )
      | ~ ( parent_THFTYPE_IiioI @ X0 @ X2 )
      | ~ ( parent_THFTYPE_IiioI @ X2 @ X1 ) ),
    inference(cnf,[status(esa)],[ax]) ).

thf(zip_derived_cl11,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( grandchild_THFTYPE_IiioI @ X0 @ X1 )
      | ~ ( parent_THFTYPE_IiioI @ ( sk__1 @ X1 @ X0 ) @ X2 )
      | ( grandparent_THFTYPE_IiioI @ X1 @ X2 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl2]) ).

thf(zip_derived_cl65,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( grandchild_THFTYPE_IiioI @ X0 @ X1 )
      | ( grandparent_THFTYPE_IiioI @ X1 @ X0 )
      | ~ ( grandchild_THFTYPE_IiioI @ X0 @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl11]) ).

thf(zip_derived_cl71,plain,
    ! [X0: $i,X1: $i] :
      ( ( grandparent_THFTYPE_IiioI @ X1 @ X0 )
      | ~ ( grandchild_THFTYPE_IiioI @ X0 @ X1 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl65]) ).

thf(ax_001,axiom,
    ( ltet_THFTYPE_IiioI
    @ ( lCardinalityFn_THFTYPE_IIioIiI
      @ ^ [X: $i] : ( grandparent_THFTYPE_IiioI @ lJohn_THFTYPE_i @ X ) )
    @ n3_THFTYPE_i ) ).

thf(zip_derived_cl3,plain,
    ( ltet_THFTYPE_IiioI
    @ ( lCardinalityFn_THFTYPE_IIioIiI
      @ ^ [Y0: $i] : ( grandparent_THFTYPE_IiioI @ lJohn_THFTYPE_i @ Y0 ) )
    @ n3_THFTYPE_i ),
    inference(cnf,[status(esa)],[ax_001]) ).

thf(zip_derived_cl8,plain,
    ltet_THFTYPE_IiioI @ ( lCardinalityFn_THFTYPE_IIioIiI @ ( grandparent_THFTYPE_IiioI @ lJohn_THFTYPE_i ) ) @ n3_THFTYPE_i,
    inference(ho_norm,[status(thm)],[zip_derived_cl3]) ).

thf(con,conjecture,
    ? [Y: $i] :
      ( ltet_THFTYPE_IiioI
      @ ( lCardinalityFn_THFTYPE_IIioIiI
        @ ^ [X: $i] : ( grandchild_THFTYPE_IiioI @ X @ lJohn_THFTYPE_i ) )
      @ Y ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ? [Y: $i] :
        ( ltet_THFTYPE_IiioI
        @ ( lCardinalityFn_THFTYPE_IIioIiI
          @ ^ [X: $i] : ( grandchild_THFTYPE_IiioI @ X @ lJohn_THFTYPE_i ) )
        @ Y ),
    inference('cnf.neg',[status(esa)],[con]) ).

thf(zip_derived_cl7,plain,
    ! [X0: $i] :
      ~ ( ltet_THFTYPE_IiioI
        @ ( lCardinalityFn_THFTYPE_IIioIiI
          @ ^ [Y0: $i] : ( grandchild_THFTYPE_IiioI @ Y0 @ lJohn_THFTYPE_i ) )
        @ X0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl17,plain,
    ( ( ^ [Y0: $i] : ( grandparent_THFTYPE_IiioI @ lJohn_THFTYPE_i @ Y0 ) )
   != ( ^ [Y0: $i] : ( grandchild_THFTYPE_IiioI @ Y0 @ lJohn_THFTYPE_i ) ) ),
    inference(ext_sup,[status(thm)],[zip_derived_cl8,zip_derived_cl7]) ).

thf(zip_derived_cl18,plain,
    ( ( grandparent_THFTYPE_IiioI @ lJohn_THFTYPE_i )
   != ( ^ [Y0: $i] : ( grandchild_THFTYPE_IiioI @ Y0 @ lJohn_THFTYPE_i ) ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl17]) ).

thf(zip_derived_cl19,plain,
    ( ( grandparent_THFTYPE_IiioI @ lJohn_THFTYPE_i @ '#sk1' )
   != ( grandchild_THFTYPE_IiioI @ '#sk1' @ lJohn_THFTYPE_i ) ),
    inference(neg_ext,[status(thm)],[zip_derived_cl18]) ).

thf(zip_derived_cl23,plain,
    ( ~ ( grandchild_THFTYPE_IiioI @ '#sk1' @ lJohn_THFTYPE_i )
    | ~ ( grandparent_THFTYPE_IiioI @ lJohn_THFTYPE_i @ '#sk1' ) ),
    inference(cnf_otf,[status(thm)],[zip_derived_cl19]) ).

thf(zip_derived_cl22,plain,
    ( ( grandchild_THFTYPE_IiioI @ '#sk1' @ lJohn_THFTYPE_i )
    | ( grandparent_THFTYPE_IiioI @ lJohn_THFTYPE_i @ '#sk1' ) ),
    inference(cnf_otf,[status(thm)],[zip_derived_cl19]) ).

thf(zip_derived_cl1,plain,
    ! [X0: $i,X1: $i] :
      ( ( parent_THFTYPE_IiioI @ X0 @ ( sk_ @ X1 @ X0 ) )
      | ~ ( grandparent_THFTYPE_IiioI @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[ax]) ).

thf(zip_derived_cl0,plain,
    ! [X0: $i,X1: $i] :
      ( ( parent_THFTYPE_IiioI @ ( sk_ @ X0 @ X1 ) @ X0 )
      | ~ ( grandparent_THFTYPE_IiioI @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[ax]) ).

thf(zip_derived_cl6,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( grandchild_THFTYPE_IiioI @ X0 @ X1 )
      | ~ ( parent_THFTYPE_IiioI @ X2 @ X0 )
      | ~ ( parent_THFTYPE_IiioI @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[ax_002]) ).

thf(zip_derived_cl25,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( grandparent_THFTYPE_IiioI @ X1 @ X0 )
      | ~ ( parent_THFTYPE_IiioI @ X2 @ ( sk_ @ X0 @ X1 ) )
      | ( grandchild_THFTYPE_IiioI @ X0 @ X2 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl6]) ).

thf(zip_derived_cl42,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( grandparent_THFTYPE_IiioI @ X0 @ X1 )
      | ( grandchild_THFTYPE_IiioI @ X1 @ X0 )
      | ~ ( grandparent_THFTYPE_IiioI @ X0 @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl25]) ).

thf(zip_derived_cl46,plain,
    ! [X0: $i,X1: $i] :
      ( ( grandchild_THFTYPE_IiioI @ X1 @ X0 )
      | ~ ( grandparent_THFTYPE_IiioI @ X0 @ X1 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl42]) ).

thf(zip_derived_cl51,plain,
    ( ( grandchild_THFTYPE_IiioI @ '#sk1' @ lJohn_THFTYPE_i )
    | ( grandchild_THFTYPE_IiioI @ '#sk1' @ lJohn_THFTYPE_i ) ),
    inference('sup-',[status(thm)],[zip_derived_cl22,zip_derived_cl46]) ).

thf(zip_derived_cl56,plain,
    grandchild_THFTYPE_IiioI @ '#sk1' @ lJohn_THFTYPE_i,
    inference(simplify,[status(thm)],[zip_derived_cl51]) ).

thf(zip_derived_cl60,plain,
    ~ ( grandparent_THFTYPE_IiioI @ lJohn_THFTYPE_i @ '#sk1' ),
    inference(demod,[status(thm)],[zip_derived_cl23,zip_derived_cl56]) ).

thf(zip_derived_cl73,plain,
    ~ ( grandchild_THFTYPE_IiioI @ '#sk1' @ lJohn_THFTYPE_i ),
    inference('sup-',[status(thm)],[zip_derived_cl71,zip_derived_cl60]) ).

thf(zip_derived_cl56_001,plain,
    grandchild_THFTYPE_IiioI @ '#sk1' @ lJohn_THFTYPE_i,
    inference(simplify,[status(thm)],[zip_derived_cl51]) ).

thf(zip_derived_cl79,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl73,zip_derived_cl56]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : CSR150^1 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.KQTyYRxebz true
% 0.15/0.35  % Computer : n028.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit : 300
% 0.15/0.35  % WCLimit  : 300
% 0.15/0.35  % DateTime : Mon Aug 28 07:40:09 EDT 2023
% 0.15/0.35  % CPUTime  : 
% 0.15/0.35  % Running portfolio for 300 s
% 0.15/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.35  % Number of cores: 8
% 0.15/0.36  % Python version: Python 3.6.8
% 0.15/0.36  % Running in HO mode
% 0.22/0.63  % Total configuration time : 828
% 0.22/0.63  % Estimated wc time : 1656
% 0.22/0.63  % Estimated cpu time (8 cpus) : 207.0
% 0.22/0.72  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.22/0.74  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.22/0.74  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.22/0.75  % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.22/0.76  % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.22/0.77  % Solved by lams/40_c.s.sh.
% 0.22/0.77  % done 26 iterations in 0.024s
% 0.22/0.77  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.22/0.77  % SZS output start Refutation
% See solution above
% 0.22/0.77  
% 0.22/0.77  
% 0.22/0.77  % Terminating...
% 1.29/0.85  % Runner terminated.
% 1.29/0.86  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------