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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU034+1 : TPTP v9.2.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.U5rItC8U2d 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 Oct  2 04:53:21 PM UTC 2025

% Result   : Theorem 2.02s 1.22s
% Output   : Refutation 2.02s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   34 (  13 unt;   0 typ;   0 def)
%            Number of atoms       :  119 (  43 equ;   0 cnn)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives :  371 (  69   ~;  66   |;  11   &; 217   @)
%                                         (   0 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   11 (   9 usr;   2 con; 0-2 aty)
%            Number of variables   :   33 (   0   ^;  33   !;   0   ?;  33   :)

% Comments : 
%------------------------------------------------------------------------------
thf(relation_rng_type,type,
    relation_rng: $i > $i ).

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

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

thf(function_inverse_type,type,
    function_inverse: $i > $i ).

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

thf(relation_composition_type,type,
    relation_composition: $i > $i > $i ).

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

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

thf(one_to_one_type,type,
    one_to_one: $i > $o ).

thf(t67_funct_1,conjecture,
    ! [A: $i] :
      ( ( function_inverse @ ( identity_relation @ A ) )
      = ( identity_relation @ A ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i] :
        ( ( function_inverse @ ( identity_relation @ A ) )
        = ( identity_relation @ A ) ),
    inference('cnf.neg',[status(esa)],[t67_funct_1]) ).

thf(zip_derived_cl13,plain,
    ( ( function_inverse @ ( identity_relation @ sk_ ) )
   != ( identity_relation @ sk_ ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(t71_relat_1,axiom,
    ! [A: $i] :
      ( ( ( relation_rng @ ( identity_relation @ A ) )
        = A )
      & ( ( relation_dom @ ( identity_relation @ A ) )
        = A ) ) ).

thf(zip_derived_cl12,plain,
    ! [X0: $i] :
      ( ( relation_rng @ ( identity_relation @ X0 ) )
      = X0 ),
    inference(cnf,[status(esa)],[t71_relat_1]) ).

thf(t55_funct_1,axiom,
    ! [A: $i] :
      ( ( ( relation @ A )
        & ( function @ A ) )
     => ( ( one_to_one @ A )
       => ( ( ( relation_rng @ A )
            = ( relation_dom @ ( function_inverse @ A ) ) )
          & ( ( relation_dom @ A )
            = ( relation_rng @ ( function_inverse @ A ) ) ) ) ) ) ).

thf(zip_derived_cl8,plain,
    ! [X0: $i] :
      ( ~ ( one_to_one @ X0 )
      | ( ( relation_rng @ X0 )
        = ( relation_dom @ ( function_inverse @ X0 ) ) )
      | ~ ( function @ X0 )
      | ~ ( relation @ X0 ) ),
    inference(cnf,[status(esa)],[t55_funct_1]) ).

thf(t61_funct_1,axiom,
    ! [A: $i] :
      ( ( ( relation @ A )
        & ( function @ A ) )
     => ( ( one_to_one @ A )
       => ( ( ( relation_composition @ A @ ( function_inverse @ A ) )
            = ( identity_relation @ ( relation_dom @ A ) ) )
          & ( ( relation_composition @ ( function_inverse @ A ) @ A )
            = ( identity_relation @ ( relation_rng @ A ) ) ) ) ) ) ).

thf(zip_derived_cl10,plain,
    ! [X0: $i] :
      ( ~ ( one_to_one @ X0 )
      | ( ( relation_composition @ X0 @ ( function_inverse @ X0 ) )
        = ( identity_relation @ ( relation_dom @ X0 ) ) )
      | ~ ( function @ X0 )
      | ~ ( relation @ X0 ) ),
    inference(cnf,[status(esa)],[t61_funct_1]) ).

thf(t44_funct_1,axiom,
    ! [A: $i] :
      ( ( ( relation @ A )
        & ( function @ A ) )
     => ! [B: $i] :
          ( ( ( relation @ B )
            & ( function @ B ) )
         => ( ( ( ( relation_rng @ A )
                = ( relation_dom @ B ) )
              & ( ( relation_composition @ A @ B )
                = A ) )
           => ( B
              = ( identity_relation @ ( relation_dom @ B ) ) ) ) ) ) ).

thf(zip_derived_cl5,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( relation @ X0 )
      | ~ ( function @ X0 )
      | ( X0
        = ( identity_relation @ ( relation_dom @ X0 ) ) )
      | ( ( relation_composition @ X1 @ X0 )
       != X1 )
      | ( ( relation_rng @ X1 )
       != ( relation_dom @ X0 ) )
      | ~ ( function @ X1 )
      | ~ ( relation @ X1 ) ),
    inference(cnf,[status(esa)],[t44_funct_1]) ).

thf(zip_derived_cl16,plain,
    ! [X0: $i] :
      ( ( ( identity_relation @ ( relation_dom @ X0 ) )
       != X0 )
      | ~ ( relation @ X0 )
      | ~ ( function @ X0 )
      | ~ ( one_to_one @ X0 )
      | ~ ( relation @ X0 )
      | ~ ( function @ X0 )
      | ( ( relation_rng @ X0 )
       != ( relation_dom @ ( function_inverse @ X0 ) ) )
      | ( ( function_inverse @ X0 )
        = ( identity_relation @ ( relation_dom @ ( function_inverse @ X0 ) ) ) )
      | ~ ( function @ ( function_inverse @ X0 ) )
      | ~ ( relation @ ( function_inverse @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl5]) ).

thf(zip_derived_cl17,plain,
    ! [X0: $i] :
      ( ~ ( relation @ ( function_inverse @ X0 ) )
      | ~ ( function @ ( function_inverse @ X0 ) )
      | ( ( function_inverse @ X0 )
        = ( identity_relation @ ( relation_dom @ ( function_inverse @ X0 ) ) ) )
      | ( ( relation_rng @ X0 )
       != ( relation_dom @ ( function_inverse @ X0 ) ) )
      | ~ ( one_to_one @ X0 )
      | ~ ( function @ X0 )
      | ~ ( relation @ X0 )
      | ( ( identity_relation @ ( relation_dom @ X0 ) )
       != X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl16]) ).

thf(dt_k2_funct_1,axiom,
    ! [A: $i] :
      ( ( ( relation @ A )
        & ( function @ A ) )
     => ( ( relation @ ( function_inverse @ A ) )
        & ( function @ ( function_inverse @ A ) ) ) ) ).

thf(zip_derived_cl0,plain,
    ! [X0: $i] :
      ( ( relation @ ( function_inverse @ X0 ) )
      | ~ ( function @ X0 )
      | ~ ( relation @ X0 ) ),
    inference(cnf,[status(esa)],[dt_k2_funct_1]) ).

thf(zip_derived_cl39,plain,
    ! [X0: $i] :
      ( ( ( identity_relation @ ( relation_dom @ X0 ) )
       != X0 )
      | ~ ( relation @ X0 )
      | ~ ( function @ X0 )
      | ~ ( one_to_one @ X0 )
      | ( ( relation_rng @ X0 )
       != ( relation_dom @ ( function_inverse @ X0 ) ) )
      | ( ( function_inverse @ X0 )
        = ( identity_relation @ ( relation_dom @ ( function_inverse @ X0 ) ) ) )
      | ~ ( function @ ( function_inverse @ X0 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl17,zip_derived_cl0]) ).

thf(zip_derived_cl8_001,plain,
    ! [X0: $i] :
      ( ~ ( one_to_one @ X0 )
      | ( ( relation_rng @ X0 )
        = ( relation_dom @ ( function_inverse @ X0 ) ) )
      | ~ ( function @ X0 )
      | ~ ( relation @ X0 ) ),
    inference(cnf,[status(esa)],[t55_funct_1]) ).

thf(zip_derived_cl40,plain,
    ! [X0: $i] :
      ( ~ ( function @ ( function_inverse @ X0 ) )
      | ( ( function_inverse @ X0 )
        = ( identity_relation @ ( relation_dom @ ( function_inverse @ X0 ) ) ) )
      | ~ ( one_to_one @ X0 )
      | ~ ( function @ X0 )
      | ~ ( relation @ X0 )
      | ( ( identity_relation @ ( relation_dom @ X0 ) )
       != X0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl39,zip_derived_cl8]) ).

thf(zip_derived_cl1,plain,
    ! [X0: $i] :
      ( ( function @ ( function_inverse @ X0 ) )
      | ~ ( function @ X0 )
      | ~ ( relation @ X0 ) ),
    inference(cnf,[status(esa)],[dt_k2_funct_1]) ).

thf(zip_derived_cl41,plain,
    ! [X0: $i] :
      ( ( ( identity_relation @ ( relation_dom @ X0 ) )
       != X0 )
      | ~ ( relation @ X0 )
      | ~ ( function @ X0 )
      | ~ ( one_to_one @ X0 )
      | ( ( function_inverse @ X0 )
        = ( identity_relation @ ( relation_dom @ ( function_inverse @ X0 ) ) ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl40,zip_derived_cl1]) ).

thf(zip_derived_cl47,plain,
    ! [X0: $i] :
      ( ( ( function_inverse @ X0 )
        = ( identity_relation @ ( relation_rng @ X0 ) ) )
      | ~ ( relation @ X0 )
      | ~ ( function @ X0 )
      | ~ ( one_to_one @ X0 )
      | ~ ( one_to_one @ X0 )
      | ~ ( function @ X0 )
      | ~ ( relation @ X0 )
      | ( ( identity_relation @ ( relation_dom @ X0 ) )
       != X0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl8,zip_derived_cl41]) ).

thf(zip_derived_cl48,plain,
    ! [X0: $i] :
      ( ( ( identity_relation @ ( relation_dom @ X0 ) )
       != X0 )
      | ~ ( one_to_one @ X0 )
      | ~ ( function @ X0 )
      | ~ ( relation @ X0 )
      | ( ( function_inverse @ X0 )
        = ( identity_relation @ ( relation_rng @ X0 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl47]) ).

thf(zip_derived_cl66,plain,
    ! [X0: $i] :
      ( ( ( function_inverse @ ( identity_relation @ X0 ) )
        = ( identity_relation @ X0 ) )
      | ~ ( relation @ ( identity_relation @ X0 ) )
      | ~ ( function @ ( identity_relation @ X0 ) )
      | ~ ( one_to_one @ ( identity_relation @ X0 ) )
      | ( ( identity_relation @ ( relation_dom @ ( identity_relation @ X0 ) ) )
       != ( identity_relation @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl12,zip_derived_cl48]) ).

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

thf(zip_derived_cl2,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_cl4,plain,
    ! [X0: $i] : ( function @ ( identity_relation @ X0 ) ),
    inference(cnf,[status(esa)],[fc2_funct_1]) ).

thf(t52_funct_1,axiom,
    ! [A: $i] : ( one_to_one @ ( identity_relation @ A ) ) ).

thf(zip_derived_cl6,plain,
    ! [X0: $i] : ( one_to_one @ ( identity_relation @ X0 ) ),
    inference(cnf,[status(esa)],[t52_funct_1]) ).

thf(zip_derived_cl11,plain,
    ! [X0: $i] :
      ( ( relation_dom @ ( identity_relation @ X0 ) )
      = X0 ),
    inference(cnf,[status(esa)],[t71_relat_1]) ).

thf(zip_derived_cl67,plain,
    ! [X0: $i] :
      ( ( ( function_inverse @ ( identity_relation @ X0 ) )
        = ( identity_relation @ X0 ) )
      | ( ( identity_relation @ X0 )
       != ( identity_relation @ X0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl66,zip_derived_cl2,zip_derived_cl4,zip_derived_cl6,zip_derived_cl11]) ).

thf(zip_derived_cl68,plain,
    ! [X0: $i] :
      ( ( function_inverse @ ( identity_relation @ X0 ) )
      = ( identity_relation @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl67]) ).

thf(zip_derived_cl71,plain,
    ( ( identity_relation @ sk_ )
   != ( identity_relation @ sk_ ) ),
    inference(demod,[status(thm)],[zip_derived_cl13,zip_derived_cl68]) ).

thf(zip_derived_cl72,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl71]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.13  % Problem  : SEU034+1 : TPTP v9.2.0. Released v3.2.0.
% 0.06/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.U5rItC8U2d true
% 0.12/0.35  % Computer : n019.cluster.edu
% 0.12/0.35  % Model    : x86_64 x86_64
% 0.12/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.35  % Memory   : 8042.1875MB
% 0.12/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.35  % CPULimit : 300
% 0.12/0.35  % WCLimit  : 300
% 0.12/0.35  % DateTime : Wed Oct  1 16:04:53 EDT 2025
% 0.12/0.36  % CPUTime  : 
% 0.12/0.36  % Running portfolio for 300 s
% 0.12/0.36  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.36  % Number of cores: 8
% 0.12/0.36  % Python version: Python 3.6.8
% 0.12/0.36  % Running in FO mode
% 0.53/0.67  % Total configuration time : 435
% 0.53/0.67  % Estimated wc time : 1092
% 0.53/0.67  % Estimated cpu time (7 cpus) : 156.0
% 0.53/0.79  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.54/0.86  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.54/0.95  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.54/0.97  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.55/1.03  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.55/1.04  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.55/1.05  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 2.02/1.22  % Solved by fo/fo4.sh.
% 2.02/1.22  % done 26 iterations in 0.049s
% 2.02/1.22  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 2.02/1.22  % SZS output start Refutation
% See solution above
% 2.02/1.22  
% 2.02/1.22  
% 2.02/1.22  % Terminating...
% 2.55/1.40  % Runner terminated.
% 2.57/1.42  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------