TSTP Solution File: KRS258+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : KRS258+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.QliGXt7j6r 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 : Thu Aug 31 05:57:00 EDT 2023

% Result   : Theorem 0.81s 0.81s
% Output   : Refutation 0.81s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   28 (   9 unt;   8 typ;   0 def)
%            Number of atoms       :   39 (   0 equ;   0 cnn)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :  143 (  15   ~;  12   |;   2   &; 109   @)
%                                         (   4 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   11 (  11   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    9 (   8 usr;   4 con; 0-3 aty)
%            Number of variables   :   34 (   0   ^;  30   !;   4   ?;  34   :)

% Comments : 
%------------------------------------------------------------------------------
thf(sk__51_type,type,
    sk__51: $i ).

thf(thm_type,type,
    thm: $i ).

thf(status_type,type,
    status: $i > $i > $i > $o ).

thf(sk__9_type,type,
    sk__9: $i > $i > $i ).

thf(sk__11_type,type,
    sk__11: $i > $i > $i ).

thf(model_type,type,
    model: $i > $i > $o ).

thf(eqv_type,type,
    eqv: $i ).

thf(mighta_type,type,
    mighta: $i > $i > $o ).

thf(tautology,axiom,
    ? [F: $i] :
    ! [I: $i] : ( model @ I @ F ) ).

thf(zip_derived_cl93,plain,
    ! [X0: $i] : ( model @ X0 @ sk__51 ),
    inference(cnf,[status(esa)],[tautology]) ).

thf(eqv,axiom,
    ! [Ax: $i,C: $i] :
      ( ( ? [I1: $i] : ( model @ I1 @ Ax )
        & ! [I2: $i] :
            ( ( model @ I2 @ Ax )
          <=> ( model @ I2 @ C ) ) )
    <=> ( status @ Ax @ C @ eqv ) ) ).

thf(zip_derived_cl17,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( status @ X0 @ X1 @ eqv )
      | ~ ( model @ ( sk__11 @ X1 @ X0 ) @ X0 )
      | ~ ( model @ ( sk__11 @ X1 @ X0 ) @ X1 )
      | ~ ( model @ X2 @ X0 ) ),
    inference(cnf,[status(esa)],[eqv]) ).

thf(zip_derived_cl266,plain,
    ! [X0: $i,X1: $i] :
      ( ( status @ X1 @ X0 @ eqv )
      | ~ ( model @ ( sk__11 @ X0 @ X1 ) @ X1 )
      | ~ ( model @ ( sk__11 @ X0 @ X1 ) @ X0 ) ),
    inference(condensation,[status(thm)],[zip_derived_cl17]) ).

thf(zip_derived_cl269,plain,
    ! [X0: $i] :
      ( ~ ( model @ ( sk__11 @ X0 @ X0 ) @ X0 )
      | ( status @ X0 @ X0 @ eqv ) ),
    inference(eq_fact,[status(thm)],[zip_derived_cl266]) ).

thf(thm,axiom,
    ! [Ax: $i,C: $i] :
      ( ! [I1: $i] :
          ( ( model @ I1 @ Ax )
         => ( model @ I1 @ C ) )
    <=> ( status @ Ax @ C @ thm ) ) ).

thf(zip_derived_cl14,plain,
    ! [X0: $i,X1: $i] :
      ( ( status @ X0 @ X1 @ thm )
      | ( model @ ( sk__9 @ X1 @ X0 ) @ X0 ) ),
    inference(cnf,[status(esa)],[thm]) ).

thf(zip_derived_cl13,plain,
    ! [X0: $i,X1: $i] :
      ( ( status @ X0 @ X1 @ thm )
      | ~ ( model @ ( sk__9 @ X1 @ X0 ) @ X1 ) ),
    inference(cnf,[status(esa)],[thm]) ).

thf(zip_derived_cl235,plain,
    ! [X0: $i] :
      ( ( status @ X0 @ X0 @ thm )
      | ( status @ X0 @ X0 @ thm ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl14,zip_derived_cl13]) ).

thf(zip_derived_cl236,plain,
    ! [X0: $i] : ( status @ X0 @ X0 @ thm ),
    inference(simplify,[status(thm)],[zip_derived_cl235]) ).

thf(mighta,axiom,
    ! [S1: $i,S2: $i] :
      ( ? [Ax: $i,C: $i] :
          ( ( status @ Ax @ C @ S2 )
          & ( status @ Ax @ C @ S1 ) )
    <=> ( mighta @ S1 @ S2 ) ) ).

thf(zip_derived_cl73,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( mighta @ X0 @ X1 )
      | ~ ( status @ X2 @ X3 @ X0 )
      | ~ ( status @ X2 @ X3 @ X1 ) ),
    inference(cnf,[status(esa)],[mighta]) ).

thf(mighta_eqv_thm,conjecture,
    mighta @ eqv @ thm ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( mighta @ eqv @ thm ),
    inference('cnf.neg',[status(esa)],[mighta_eqv_thm]) ).

thf(zip_derived_cl108,plain,
    ~ ( mighta @ eqv @ thm ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl117,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( status @ X1 @ X0 @ thm )
      | ~ ( status @ X1 @ X0 @ eqv ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl73,zip_derived_cl108]) ).

thf(zip_derived_cl241,plain,
    ! [X0: $i] :
      ~ ( status @ X0 @ X0 @ eqv ),
    inference('s_sup-',[status(thm)],[zip_derived_cl236,zip_derived_cl117]) ).

thf(zip_derived_cl270,plain,
    ! [X0: $i] :
      ~ ( model @ ( sk__11 @ X0 @ X0 ) @ X0 ),
    inference(demod,[status(thm)],[zip_derived_cl269,zip_derived_cl241]) ).

thf(zip_derived_cl303,plain,
    $false,
    inference('s_sup-',[status(thm)],[zip_derived_cl93,zip_derived_cl270]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14  % Problem  : KRS258+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% 0.14/0.15  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.QliGXt7j6r true
% 0.14/0.37  % Computer : n028.cluster.edu
% 0.14/0.37  % Model    : x86_64 x86_64
% 0.14/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.37  % Memory   : 8042.1875MB
% 0.14/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.37  % CPULimit : 300
% 0.14/0.37  % WCLimit  : 300
% 0.14/0.37  % DateTime : Mon Aug 28 01:26:24 EDT 2023
% 0.14/0.37  % CPUTime  : 
% 0.14/0.37  % Running portfolio for 300 s
% 0.14/0.37  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.37  % Number of cores: 8
% 0.14/0.37  % Python version: Python 3.6.8
% 0.14/0.38  % Running in FO mode
% 0.22/0.68  % Total configuration time : 435
% 0.22/0.68  % Estimated wc time : 1092
% 0.22/0.68  % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.73  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.76  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.76  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.77  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.81/0.78  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.81/0.80  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.81/0.80  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.81/0.81  % Solved by fo/fo6_bce.sh.
% 0.81/0.81  % BCE start: 109
% 0.81/0.81  % BCE eliminated: 0
% 0.81/0.81  % PE start: 109
% 0.81/0.81  logic: neq
% 0.81/0.81  % PE eliminated: 4
% 0.81/0.81  % done 85 iterations in 0.058s
% 0.81/0.81  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.81/0.81  % SZS output start Refutation
% See solution above
% 0.81/0.81  
% 0.81/0.81  
% 0.81/0.81  % Terminating...
% 1.38/0.89  % Runner terminated.
% 1.38/0.90  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------