TSTP Solution File: SEU217+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU217+1 : 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.AhvNL9t5Bh true

% Computer : n029.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 19:11:18 EDT 2023

% Result   : Theorem 0.21s 0.77s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   23 (   7 unt;   8 typ;   0 def)
%            Number of atoms       :   32 (  12 equ;   0 cnn)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   86 (  13   ~;   9   |;   3   &;  56   @)
%                                         (   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   :   18 (   0   ^;  18   !;   0   ?;  18   :)

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

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

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

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

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

thf(sk__7_type,type,
    sk__7: $i ).

thf(sk__8_type,type,
    sk__8: $i ).

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

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_cl39,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_cl281,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( relation @ ( identity_relation @ X0 ) )
      | ~ ( function @ ( identity_relation @ X0 ) )
      | ~ ( in @ X1 @ X0 )
      | ( ( apply @ ( identity_relation @ X0 ) @ X1 )
        = X1 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl39]) ).

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

thf(zip_derived_cl28,plain,
    ! [X0: $i] : ( relation @ ( identity_relation @ X0 ) ),
    inference(cnf,[status(esa)],[dt_k6_relat_1]) ).

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

thf(zip_derived_cl32,plain,
    ! [X0: $i] : ( function @ ( identity_relation @ X0 ) ),
    inference(cnf,[status(esa)],[fc2_funct_1]) ).

thf(zip_derived_cl282,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( in @ X1 @ X0 )
      | ( ( apply @ ( identity_relation @ X0 ) @ X1 )
        = X1 ) ),
    inference(demod,[status(thm)],[zip_derived_cl281,zip_derived_cl28,zip_derived_cl32]) ).

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_cl36,plain,
    ( ( apply @ ( identity_relation @ sk__7 ) @ sk__8 )
   != sk__8 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl303,plain,
    ( ~ ( in @ sk__8 @ sk__7 )
    | ( sk__8 != sk__8 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl282,zip_derived_cl36]) ).

thf(zip_derived_cl35,plain,
    in @ sk__8 @ sk__7,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl306,plain,
    sk__8 != sk__8,
    inference(demod,[status(thm)],[zip_derived_cl303,zip_derived_cl35]) ).

thf(zip_derived_cl307,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl306]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SEU217+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.AhvNL9t5Bh true
% 0.14/0.35  % Computer : n029.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 : Thu Aug 24 01:59:54 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
% 0.14/0.36  % 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
% 0.21/0.75  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.75  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.75  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 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/fo5.sh running for 50s
% 0.21/0.77  % Solved by fo/fo6_bce.sh.
% 0.21/0.77  % BCE start: 41
% 0.21/0.77  % BCE eliminated: 2
% 0.21/0.77  % PE start: 39
% 0.21/0.77  logic: eq
% 0.21/0.77  % PE eliminated: 2
% 0.21/0.77  % done 54 iterations in 0.027s
% 0.21/0.77  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.21/0.77  % SZS output start Refutation
% See solution above
% 0.21/0.77  
% 0.21/0.77  
% 0.21/0.77  % Terminating...
% 0.21/0.87  % Runner terminated.
% 0.21/0.88  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------