TSTP Solution File: RNG045+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : RNG045+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.MNtKhxbtkU true

% Computer : n019.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 14:06:29 EDT 2023

% Result   : Theorem 0.21s 0.75s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   27 (  14 unt;   7 typ;   0 def)
%            Number of atoms       :   39 (  13 equ;   0 cnn)
%            Maximal formula atoms :    5 (   1 avg)
%            Number of connectives :  258 (  18   ~;  12   |;   6   &; 221   @)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    5 (   5   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    9 (   7 usr;   5 con; 0-2 aty)
%            Number of variables   :    9 (   0   ^;   9   !;   0   ?;   9   :)

% Comments : 
%------------------------------------------------------------------------------
thf(xv_type,type,
    xv: $i ).

thf(xu_type,type,
    xu: $i ).

thf(xx_type,type,
    xx: $i ).

thf(sdtpldt0_type,type,
    sdtpldt0: $i > $i > $i ).

thf(aScalar0_type,type,
    aScalar0: $i > $o ).

thf(xy_type,type,
    xy: $i ).

thf(sdtasdt0_type,type,
    sdtasdt0: $i > $i > $i ).

thf(mDistr,axiom,
    ! [W0: $i,W1: $i,W2: $i] :
      ( ( ( aScalar0 @ W0 )
        & ( aScalar0 @ W1 )
        & ( aScalar0 @ W2 ) )
     => ( ( ( sdtasdt0 @ W0 @ ( sdtpldt0 @ W1 @ W2 ) )
          = ( sdtpldt0 @ ( sdtasdt0 @ W0 @ W1 ) @ ( sdtasdt0 @ W0 @ W2 ) ) )
        & ( ( sdtasdt0 @ ( sdtpldt0 @ W0 @ W1 ) @ W2 )
          = ( sdtpldt0 @ ( sdtasdt0 @ W0 @ W2 ) @ ( sdtasdt0 @ W1 @ W2 ) ) ) ) ) ).

thf(zip_derived_cl26,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( aScalar0 @ X0 )
      | ~ ( aScalar0 @ X1 )
      | ~ ( aScalar0 @ X2 )
      | ( ( sdtasdt0 @ X1 @ ( sdtpldt0 @ X0 @ X2 ) )
        = ( sdtpldt0 @ ( sdtasdt0 @ X1 @ X0 ) @ ( sdtasdt0 @ X1 @ X2 ) ) ) ),
    inference(cnf,[status(esa)],[mDistr]) ).

thf(zip_derived_cl26_001,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( aScalar0 @ X0 )
      | ~ ( aScalar0 @ X1 )
      | ~ ( aScalar0 @ X2 )
      | ( ( sdtasdt0 @ X1 @ ( sdtpldt0 @ X0 @ X2 ) )
        = ( sdtpldt0 @ ( sdtasdt0 @ X1 @ X0 ) @ ( sdtasdt0 @ X1 @ X2 ) ) ) ),
    inference(cnf,[status(esa)],[mDistr]) ).

thf(m__,conjecture,
    ( ( sdtasdt0 @ ( sdtpldt0 @ xx @ xy ) @ ( sdtpldt0 @ xu @ xv ) )
    = ( sdtpldt0 @ ( sdtpldt0 @ ( sdtasdt0 @ xx @ xu ) @ ( sdtasdt0 @ xx @ xv ) ) @ ( sdtpldt0 @ ( sdtasdt0 @ xy @ xu ) @ ( sdtasdt0 @ xy @ xv ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ( ( sdtasdt0 @ ( sdtpldt0 @ xx @ xy ) @ ( sdtpldt0 @ xu @ xv ) )
   != ( sdtpldt0 @ ( sdtpldt0 @ ( sdtasdt0 @ xx @ xu ) @ ( sdtasdt0 @ xx @ xv ) ) @ ( sdtpldt0 @ ( sdtasdt0 @ xy @ xu ) @ ( sdtasdt0 @ xy @ xv ) ) ) ),
    inference('cnf.neg',[status(esa)],[m__]) ).

thf(zip_derived_cl33,plain,
    ( ( sdtasdt0 @ ( sdtpldt0 @ xx @ xy ) @ ( sdtpldt0 @ xu @ xv ) )
   != ( sdtpldt0 @ ( sdtpldt0 @ ( sdtasdt0 @ xx @ xu ) @ ( sdtasdt0 @ xx @ xv ) ) @ ( sdtpldt0 @ ( sdtasdt0 @ xy @ xu ) @ ( sdtasdt0 @ xy @ xv ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl299,plain,
    ( ~ ( aScalar0 @ xv )
    | ~ ( aScalar0 @ xx )
    | ~ ( aScalar0 @ xu )
    | ( ( sdtasdt0 @ ( sdtpldt0 @ xx @ xy ) @ ( sdtpldt0 @ xu @ xv ) )
     != ( sdtpldt0 @ ( sdtasdt0 @ xx @ ( sdtpldt0 @ xu @ xv ) ) @ ( sdtpldt0 @ ( sdtasdt0 @ xy @ xu ) @ ( sdtasdt0 @ xy @ xv ) ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl26,zip_derived_cl33]) ).

thf(m__674,axiom,
    ( ( aScalar0 @ xv )
    & ( aScalar0 @ xu )
    & ( aScalar0 @ xy )
    & ( aScalar0 @ xx ) ) ).

thf(zip_derived_cl28,plain,
    aScalar0 @ xv,
    inference(cnf,[status(esa)],[m__674]) ).

thf(zip_derived_cl31,plain,
    aScalar0 @ xx,
    inference(cnf,[status(esa)],[m__674]) ).

thf(zip_derived_cl29,plain,
    aScalar0 @ xu,
    inference(cnf,[status(esa)],[m__674]) ).

thf(zip_derived_cl327,plain,
    ( ( sdtasdt0 @ ( sdtpldt0 @ xx @ xy ) @ ( sdtpldt0 @ xu @ xv ) )
   != ( sdtpldt0 @ ( sdtasdt0 @ xx @ ( sdtpldt0 @ xu @ xv ) ) @ ( sdtpldt0 @ ( sdtasdt0 @ xy @ xu ) @ ( sdtasdt0 @ xy @ xv ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl299,zip_derived_cl28,zip_derived_cl31,zip_derived_cl29]) ).

thf(zip_derived_cl329,plain,
    ( ~ ( aScalar0 @ xv )
    | ~ ( aScalar0 @ xy )
    | ~ ( aScalar0 @ xu )
    | ( ( sdtasdt0 @ ( sdtpldt0 @ xx @ xy ) @ ( sdtpldt0 @ xu @ xv ) )
     != ( sdtpldt0 @ ( sdtasdt0 @ xx @ ( sdtpldt0 @ xu @ xv ) ) @ ( sdtasdt0 @ xy @ ( sdtpldt0 @ xu @ xv ) ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl26,zip_derived_cl327]) ).

thf(zip_derived_cl28_002,plain,
    aScalar0 @ xv,
    inference(cnf,[status(esa)],[m__674]) ).

thf(zip_derived_cl30,plain,
    aScalar0 @ xy,
    inference(cnf,[status(esa)],[m__674]) ).

thf(zip_derived_cl29_003,plain,
    aScalar0 @ xu,
    inference(cnf,[status(esa)],[m__674]) ).

thf(m__733,axiom,
    ( ( sdtasdt0 @ ( sdtpldt0 @ xx @ xy ) @ ( sdtpldt0 @ xu @ xv ) )
    = ( sdtpldt0 @ ( sdtasdt0 @ xx @ ( sdtpldt0 @ xu @ xv ) ) @ ( sdtasdt0 @ xy @ ( sdtpldt0 @ xu @ xv ) ) ) ) ).

thf(zip_derived_cl32,plain,
    ( ( sdtasdt0 @ ( sdtpldt0 @ xx @ xy ) @ ( sdtpldt0 @ xu @ xv ) )
    = ( sdtpldt0 @ ( sdtasdt0 @ xx @ ( sdtpldt0 @ xu @ xv ) ) @ ( sdtasdt0 @ xy @ ( sdtpldt0 @ xu @ xv ) ) ) ),
    inference(cnf,[status(esa)],[m__733]) ).

thf(zip_derived_cl330,plain,
    ( ( sdtasdt0 @ ( sdtpldt0 @ xx @ xy ) @ ( sdtpldt0 @ xu @ xv ) )
   != ( sdtasdt0 @ ( sdtpldt0 @ xx @ xy ) @ ( sdtpldt0 @ xu @ xv ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl329,zip_derived_cl28,zip_derived_cl30,zip_derived_cl29,zip_derived_cl32]) ).

thf(zip_derived_cl331,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl330]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : RNG045+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.MNtKhxbtkU true
% 0.14/0.34  % Computer : n019.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Sun Aug 27 01:48:43 EDT 2023
% 0.14/0.34  % CPUTime  : 
% 0.14/0.34  % Running portfolio for 300 s
% 0.14/0.34  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.35  % Number of cores: 8
% 0.21/0.35  % Python version: Python 3.6.8
% 0.21/0.35  % Running in FO mode
% 0.21/0.65  % Total configuration time : 435
% 0.21/0.65  % Estimated wc time : 1092
% 0.21/0.65  % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.70  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.75  % Solved by fo/fo6_bce.sh.
% 0.21/0.75  % BCE start: 34
% 0.21/0.75  % BCE eliminated: 1
% 0.21/0.75  % PE start: 33
% 0.21/0.75  logic: eq
% 0.21/0.75  % PE eliminated: 0
% 0.21/0.75  % done 49 iterations in 0.035s
% 0.21/0.75  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.21/0.75  % SZS output start Refutation
% See solution above
% 0.21/0.75  
% 0.21/0.75  
% 0.21/0.75  % Terminating...
% 1.11/0.85  % Runner terminated.
% 1.11/0.87  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------