TSTP Solution File: SEU217+2 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU217+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.rnyW9uDxFA true

% Computer : n005.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 Aug 31 19:11:19 EDT 2023

% Result   : Theorem 1.33s 0.89s
% Output   : Refutation 1.33s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   22 (   6 unt;   8 typ;   0 def)
%            Number of atoms       :   33 (  14 equ;   0 cnn)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   87 (  15   ~;  11   |;   3   &;  53   @)
%                                         (   1 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    8 (   8   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   10 (   8 usr;   3 con; 0-2 aty)
%            Number of variables   :   15 (   0   ^;  15   !;   0   ?;  15   :)

% Comments : 
%------------------------------------------------------------------------------
thf(function_type,type,
    function: $i > $o ).

thf(relation_dom_type,type,
    relation_dom: $i > $i ).

thf(in_type,type,
    in: $i > $i > $o ).

thf(relation_type,type,
    relation: $i > $o ).

thf(sk__5_type,type,
    sk__5: $i ).

thf(identity_relation_type,type,
    identity_relation: $i > $i ).

thf(sk__6_type,type,
    sk__6: $i ).

thf(apply_type,type,
    apply: $i > $i > $i ).

thf(t35_funct_1,conjecture,
    ! [A: $i,B: $i] :
      ( ( in @ B @ A )
     => ( ( apply @ ( identity_relation @ A ) @ B )
        = B ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i,B: $i] :
        ( ( in @ B @ A )
       => ( ( apply @ ( identity_relation @ A ) @ B )
          = B ) ),
    inference('cnf.neg',[status(esa)],[t35_funct_1]) ).

thf(zip_derived_cl37,plain,
    in @ sk__6 @ sk__5,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(t34_funct_1,axiom,
    ! [A: $i,B: $i] :
      ( ( ( relation @ B )
        & ( function @ B ) )
     => ( ( B
          = ( identity_relation @ A ) )
      <=> ( ( ( relation_dom @ B )
            = A )
          & ! [C: $i] :
              ( ( in @ C @ A )
             => ( ( apply @ B @ C )
                = C ) ) ) ) ) ).

thf(zip_derived_cl26,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X1
       != ( identity_relation @ X0 ) )
      | ( ( apply @ X1 @ X2 )
        = X2 )
      | ~ ( in @ X2 @ X0 )
      | ~ ( function @ X1 )
      | ~ ( relation @ X1 ) ),
    inference(cnf,[status(esa)],[t34_funct_1]) ).

thf(zip_derived_cl144,plain,
    ! [X0: $i] :
      ( ~ ( relation @ X0 )
      | ~ ( function @ X0 )
      | ( ( apply @ X0 @ sk__6 )
        = sk__6 )
      | ( X0
       != ( identity_relation @ sk__5 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl37,zip_derived_cl26]) ).

thf(zip_derived_cl38,plain,
    ( ( apply @ ( identity_relation @ sk__5 ) @ sk__6 )
   != sk__6 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl177,plain,
    ( ( sk__6 != sk__6 )
    | ( ( identity_relation @ sk__5 )
     != ( identity_relation @ sk__5 ) )
    | ~ ( function @ ( identity_relation @ sk__5 ) )
    | ~ ( relation @ ( identity_relation @ sk__5 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl144,zip_derived_cl38]) ).

thf(fc2_funct_1,axiom,
    ! [A: $i] :
      ( ( function @ ( identity_relation @ A ) )
      & ( relation @ ( identity_relation @ A ) ) ) ).

thf(zip_derived_cl16,plain,
    ! [X0: $i] : ( function @ ( identity_relation @ X0 ) ),
    inference(cnf,[status(esa)],[fc2_funct_1]) ).

thf(dt_k6_relat_1,axiom,
    ! [A: $i] : ( relation @ ( identity_relation @ A ) ) ).

thf(zip_derived_cl14,plain,
    ! [X0: $i] : ( relation @ ( identity_relation @ X0 ) ),
    inference(cnf,[status(esa)],[dt_k6_relat_1]) ).

thf(zip_derived_cl183,plain,
    ( ( sk__6 != sk__6 )
    | ( ( identity_relation @ sk__5 )
     != ( identity_relation @ sk__5 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl177,zip_derived_cl16,zip_derived_cl14]) ).

thf(zip_derived_cl184,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl183]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SEU217+2 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.rnyW9uDxFA true
% 0.14/0.35  % Computer : n005.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 Aug 23 13:21:08 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
% 0.14/0.36  % Number of cores: 8
% 0.14/0.36  % Python version: Python 3.6.8
% 0.14/0.36  % Running in FO mode
% 0.22/0.71  % Total configuration time : 435
% 0.22/0.71  % Estimated wc time : 1092
% 0.22/0.71  % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.77  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.77  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.79  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.79  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.80  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 1.33/0.82  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.33/0.82  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.33/0.89  % Solved by fo/fo4.sh.
% 1.33/0.89  % done 37 iterations in 0.038s
% 1.33/0.89  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.33/0.89  % SZS output start Refutation
% See solution above
% 1.33/0.89  
% 1.33/0.89  
% 1.33/0.89  % Terminating...
% 1.53/1.01  % Runner terminated.
% 1.53/1.02  % Zipperpin 1.5 exiting
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