TSTP Solution File: SEU418+4 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU418+4 : TPTP v8.1.2. Released v3.4.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.IA3NcA9syS true

% Computer : n004.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 19:12:48 EDT 2023

% Result   : Theorem 66.25s 10.15s
% Output   : Refutation 66.25s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   36 (  16 unt;   7 typ;   0 def)
%            Number of atoms       :   63 (   4 equ;   0 cnn)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :  261 (  27   ~;  20   |;   1   &; 200   @)
%                                         (   0 <=>;  13  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    7 (   7   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    9 (   7 usr;   4 con; 0-2 aty)
%            Number of variables   :   44 (   0   ^;  44   !;   0   ?;  44   :)

% Comments : 
%------------------------------------------------------------------------------
thf(sk__37_type,type,
    sk__37: $i ).

thf(sk__38_type,type,
    sk__38: $i ).

thf(k3_xboole_0_type,type,
    k3_xboole_0: $i > $i > $i ).

thf(k5_relat_1_type,type,
    k5_relat_1: $i > $i > $i ).

thf(sk__36_type,type,
    sk__36: $i ).

thf(v1_relat_1_type,type,
    v1_relat_1: $i > $o ).

thf(r1_tarski_type,type,
    r1_tarski: $i > $i > $o ).

thf(t49_relat_1,axiom,
    ! [A: $i] :
      ( ( v1_relat_1 @ A )
     => ! [B: $i] :
          ( ( v1_relat_1 @ B )
         => ! [C: $i] :
              ( ( v1_relat_1 @ C )
             => ( ( r1_tarski @ A @ B )
               => ( r1_tarski @ ( k5_relat_1 @ A @ C ) @ ( k5_relat_1 @ B @ C ) ) ) ) ) ) ).

thf(zip_derived_cl125,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( v1_relat_1 @ X0 )
      | ~ ( r1_tarski @ X1 @ X0 )
      | ( r1_tarski @ ( k5_relat_1 @ X1 @ X2 ) @ ( k5_relat_1 @ X0 @ X2 ) )
      | ~ ( v1_relat_1 @ X2 )
      | ~ ( v1_relat_1 @ X1 ) ),
    inference(cnf,[status(esa)],[t49_relat_1]) ).

thf(t3_relat_1,axiom,
    ! [A: $i,B: $i] :
      ( ( v1_relat_1 @ B )
     => ( ( r1_tarski @ A @ B )
       => ( v1_relat_1 @ A ) ) ) ).

thf(zip_derived_cl109,plain,
    ! [X0: $i,X1: $i] :
      ( ( v1_relat_1 @ X0 )
      | ~ ( v1_relat_1 @ X1 )
      | ~ ( r1_tarski @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[t3_relat_1]) ).

thf(zip_derived_cl13587,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( v1_relat_1 @ X2 )
      | ( r1_tarski @ ( k5_relat_1 @ X1 @ X2 ) @ ( k5_relat_1 @ X0 @ X2 ) )
      | ~ ( r1_tarski @ X1 @ X0 )
      | ~ ( v1_relat_1 @ X0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl125,zip_derived_cl109]) ).

thf(zip_derived_cl13587_001,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( v1_relat_1 @ X2 )
      | ( r1_tarski @ ( k5_relat_1 @ X1 @ X2 ) @ ( k5_relat_1 @ X0 @ X2 ) )
      | ~ ( r1_tarski @ X1 @ X0 )
      | ~ ( v1_relat_1 @ X0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl125,zip_derived_cl109]) ).

thf(t19_xboole_1,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( r1_tarski @ A @ B )
        & ( r1_tarski @ A @ C ) )
     => ( r1_tarski @ A @ ( k3_xboole_0 @ B @ C ) ) ) ).

thf(zip_derived_cl24,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( r1_tarski @ X0 @ X1 )
      | ~ ( r1_tarski @ X0 @ X2 )
      | ( r1_tarski @ X0 @ ( k3_xboole_0 @ X1 @ X2 ) ) ),
    inference(cnf,[status(esa)],[t19_xboole_1]) ).

thf(t8_relset_2,conjecture,
    ! [A: $i] :
      ( ( v1_relat_1 @ A )
     => ! [B: $i] :
          ( ( v1_relat_1 @ B )
         => ! [C: $i] :
              ( ( v1_relat_1 @ C )
             => ( r1_tarski @ ( k5_relat_1 @ ( k3_xboole_0 @ A @ B ) @ C ) @ ( k3_xboole_0 @ ( k5_relat_1 @ A @ C ) @ ( k5_relat_1 @ B @ C ) ) ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i] :
        ( ( v1_relat_1 @ A )
       => ! [B: $i] :
            ( ( v1_relat_1 @ B )
           => ! [C: $i] :
                ( ( v1_relat_1 @ C )
               => ( r1_tarski @ ( k5_relat_1 @ ( k3_xboole_0 @ A @ B ) @ C ) @ ( k3_xboole_0 @ ( k5_relat_1 @ A @ C ) @ ( k5_relat_1 @ B @ C ) ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[t8_relset_2]) ).

thf(zip_derived_cl323,plain,
    ~ ( r1_tarski @ ( k5_relat_1 @ ( k3_xboole_0 @ sk__36 @ sk__37 ) @ sk__38 ) @ ( k3_xboole_0 @ ( k5_relat_1 @ sk__36 @ sk__38 ) @ ( k5_relat_1 @ sk__37 @ sk__38 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(commutativity_k3_xboole_0,axiom,
    ! [A: $i,B: $i] :
      ( ( k3_xboole_0 @ A @ B )
      = ( k3_xboole_0 @ B @ A ) ) ).

thf(zip_derived_cl17,plain,
    ! [X0: $i,X1: $i] :
      ( ( k3_xboole_0 @ X1 @ X0 )
      = ( k3_xboole_0 @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[commutativity_k3_xboole_0]) ).

thf(zip_derived_cl17_002,plain,
    ! [X0: $i,X1: $i] :
      ( ( k3_xboole_0 @ X1 @ X0 )
      = ( k3_xboole_0 @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[commutativity_k3_xboole_0]) ).

thf(zip_derived_cl1301,plain,
    ~ ( r1_tarski @ ( k5_relat_1 @ ( k3_xboole_0 @ sk__37 @ sk__36 ) @ sk__38 ) @ ( k3_xboole_0 @ ( k5_relat_1 @ sk__37 @ sk__38 ) @ ( k5_relat_1 @ sk__36 @ sk__38 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl323,zip_derived_cl17,zip_derived_cl17]) ).

thf(zip_derived_cl1721,plain,
    ( ~ ( r1_tarski @ ( k5_relat_1 @ ( k3_xboole_0 @ sk__37 @ sk__36 ) @ sk__38 ) @ ( k5_relat_1 @ sk__36 @ sk__38 ) )
    | ~ ( r1_tarski @ ( k5_relat_1 @ ( k3_xboole_0 @ sk__37 @ sk__36 ) @ sk__38 ) @ ( k5_relat_1 @ sk__37 @ sk__38 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl24,zip_derived_cl1301]) ).

thf(zip_derived_cl13610,plain,
    ( ~ ( v1_relat_1 @ sk__36 )
    | ~ ( r1_tarski @ ( k3_xboole_0 @ sk__37 @ sk__36 ) @ sk__36 )
    | ~ ( v1_relat_1 @ sk__38 )
    | ~ ( r1_tarski @ ( k5_relat_1 @ ( k3_xboole_0 @ sk__37 @ sk__36 ) @ sk__38 ) @ ( k5_relat_1 @ sk__37 @ sk__38 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl13587,zip_derived_cl1721]) ).

thf(zip_derived_cl321,plain,
    v1_relat_1 @ sk__36,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl17_003,plain,
    ! [X0: $i,X1: $i] :
      ( ( k3_xboole_0 @ X1 @ X0 )
      = ( k3_xboole_0 @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[commutativity_k3_xboole_0]) ).

thf(t17_xboole_1,axiom,
    ! [A: $i,B: $i] : ( r1_tarski @ ( k3_xboole_0 @ A @ B ) @ A ) ).

thf(zip_derived_cl22,plain,
    ! [X0: $i,X1: $i] : ( r1_tarski @ ( k3_xboole_0 @ X0 @ X1 ) @ X0 ),
    inference(cnf,[status(esa)],[t17_xboole_1]) ).

thf(zip_derived_cl1313,plain,
    ! [X0: $i,X1: $i] : ( r1_tarski @ ( k3_xboole_0 @ X1 @ X0 ) @ X0 ),
    inference('sup+',[status(thm)],[zip_derived_cl17,zip_derived_cl22]) ).

thf(zip_derived_cl322,plain,
    v1_relat_1 @ sk__38,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl13629,plain,
    ~ ( r1_tarski @ ( k5_relat_1 @ ( k3_xboole_0 @ sk__37 @ sk__36 ) @ sk__38 ) @ ( k5_relat_1 @ sk__37 @ sk__38 ) ),
    inference(demod,[status(thm)],[zip_derived_cl13610,zip_derived_cl321,zip_derived_cl1313,zip_derived_cl322]) ).

thf(zip_derived_cl13633,plain,
    ( ~ ( v1_relat_1 @ sk__37 )
    | ~ ( r1_tarski @ ( k3_xboole_0 @ sk__37 @ sk__36 ) @ sk__37 )
    | ~ ( v1_relat_1 @ sk__38 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl13587,zip_derived_cl13629]) ).

thf(zip_derived_cl324,plain,
    v1_relat_1 @ sk__37,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl22_004,plain,
    ! [X0: $i,X1: $i] : ( r1_tarski @ ( k3_xboole_0 @ X0 @ X1 ) @ X0 ),
    inference(cnf,[status(esa)],[t17_xboole_1]) ).

thf(zip_derived_cl322_005,plain,
    v1_relat_1 @ sk__38,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl13638,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl13633,zip_derived_cl324,zip_derived_cl22,zip_derived_cl322]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : SEU418+4 : TPTP v8.1.2. Released v3.4.0.
% 0.10/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.IA3NcA9syS true
% 0.13/0.34  % Computer : n004.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Wed Aug 23 12:22:49 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  % Running portfolio for 300 s
% 0.13/0.34  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34  % Number of cores: 8
% 0.13/0.35  % Python version: Python 3.6.8
% 0.13/0.35  % Running in FO mode
% 0.21/0.63  % Total configuration time : 435
% 0.21/0.63  % Estimated wc time : 1092
% 0.21/0.63  % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.68  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.71  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.74  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.74  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.74  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.74  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.75  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 66.25/10.15  % Solved by fo/fo4.sh.
% 66.25/10.15  % done 2437 iterations in 9.363s
% 66.25/10.15  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 66.25/10.15  % SZS output start Refutation
% See solution above
% 66.25/10.15  
% 66.25/10.15  
% 66.25/10.15  % Terminating...
% 66.93/10.26  % Runner terminated.
% 66.93/10.28  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------