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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : KLE075+1 : TPTP v9.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.UxLe1CNj0z true

% Computer : n008.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 Oct  2 04:40:15 PM UTC 2025

% Result   : Theorem 0.58s 0.80s
% Output   : Refutation 0.58s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   14 (  14 unt;   0 typ;   0 def)
%            Number of atoms       :   14 (  13 equ;   0 cnn)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :   54 (   4   ~;   0   |;   0   &;  50   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    3 (   2 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    6 (   4 usr;   3 con; 0-2 aty)
%            Number of variables   :   12 (   0   ^;  12   !;   0   ?;  12   :)

% Comments : 
%------------------------------------------------------------------------------
thf(multiplication_type,type,
    multiplication: $i > $i > $i ).

thf(one_type,type,
    one: $i ).

thf(sk__type,type,
    sk_: $i ).

thf(domain_type,type,
    domain: $i > $i ).

thf(goals,conjecture,
    ! [X0: $i] :
      ( ( domain @ ( multiplication @ one @ ( domain @ X0 ) ) )
      = ( domain @ X0 ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [X0: $i] :
        ( ( domain @ ( multiplication @ one @ ( domain @ X0 ) ) )
        = ( domain @ X0 ) ),
    inference('cnf.neg',[status(esa)],[goals]) ).

thf(zip_derived_cl18,plain,
    ( ( domain @ ( multiplication @ one @ ( domain @ sk_ ) ) )
   != ( domain @ sk_ ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(multiplicative_left_identity,axiom,
    ! [A: $i] :
      ( ( multiplication @ one @ A )
      = A ) ).

thf(zip_derived_cl6,plain,
    ! [X0: $i] :
      ( ( multiplication @ one @ X0 )
      = X0 ),
    inference(cnf,[status(esa)],[multiplicative_left_identity]) ).

thf(zip_derived_cl21,plain,
    ( ( domain @ ( domain @ sk_ ) )
   != ( domain @ sk_ ) ),
    inference(demod,[status(thm)],[zip_derived_cl18,zip_derived_cl6]) ).

thf(zip_derived_cl6_001,plain,
    ! [X0: $i] :
      ( ( multiplication @ one @ X0 )
      = X0 ),
    inference(cnf,[status(esa)],[multiplicative_left_identity]) ).

thf(domain2,axiom,
    ! [X0: $i,X1: $i] :
      ( ( domain @ ( multiplication @ X0 @ X1 ) )
      = ( domain @ ( multiplication @ X0 @ ( domain @ X1 ) ) ) ) ).

thf(zip_derived_cl14,plain,
    ! [X0: $i,X1: $i] :
      ( ( domain @ ( multiplication @ X0 @ X1 ) )
      = ( domain @ ( multiplication @ X0 @ ( domain @ X1 ) ) ) ),
    inference(cnf,[status(esa)],[domain2]) ).

thf(zip_derived_cl32,plain,
    ! [X0: $i] :
      ( ( domain @ ( multiplication @ one @ X0 ) )
      = ( domain @ ( domain @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl6,zip_derived_cl14]) ).

thf(zip_derived_cl6_002,plain,
    ! [X0: $i] :
      ( ( multiplication @ one @ X0 )
      = X0 ),
    inference(cnf,[status(esa)],[multiplicative_left_identity]) ).

thf(zip_derived_cl36,plain,
    ! [X0: $i] :
      ( ( domain @ X0 )
      = ( domain @ ( domain @ X0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl32,zip_derived_cl6]) ).

thf(zip_derived_cl40,plain,
    ( ( domain @ sk_ )
   != ( domain @ sk_ ) ),
    inference(demod,[status(thm)],[zip_derived_cl21,zip_derived_cl36]) ).

thf(zip_derived_cl41,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl40]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : KLE075+1 : TPTP v9.2.0. Released v4.0.0.
% 0.07/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.UxLe1CNj0z true
% 0.13/0.35  % Computer : n008.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Wed Oct  1 14:00:08 EDT 2025
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  % Running portfolio for 300 s
% 0.13/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.36  % Number of cores: 8
% 0.13/0.36  % Python version: Python 3.6.8
% 0.13/0.36  % Running in FO mode
% 0.56/0.66  % Total configuration time : 435
% 0.56/0.66  % Estimated wc time : 1092
% 0.56/0.66  % Estimated cpu time (7 cpus) : 156.0
% 0.58/0.77  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.58/0.78  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.58/0.78  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.58/0.79  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.58/0.80  % Solved by fo/fo3_bce.sh.
% 0.58/0.80  % BCE start: 19
% 0.58/0.80  % BCE eliminated: 2
% 0.58/0.80  % PE start: 17
% 0.58/0.80  logic: eq
% 0.58/0.80  % PE eliminated: 0
% 0.58/0.80  % done 12 iterations in 0.009s
% 0.58/0.80  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.58/0.80  % SZS output start Refutation
% See solution above
% 0.58/0.80  
% 0.58/0.80  
% 0.58/0.80  % Terminating...
% 0.64/0.87  % Runner terminated.
% 0.64/0.88  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------