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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU030+1 : TPTP v9.2.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.AOruSgNY7E true

% Computer : n007.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 04:53:20 PM UTC 2025

% Result   : Theorem 0.53s 0.85s
% Output   : Refutation 0.53s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   42 (  20 unt;   0 typ;   0 def)
%            Number of atoms       :  138 (  49 equ;   0 cnn)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives :  391 (  71   ~;  62   |;  19   &; 224   @)
%                                         (   0 <=>;  15  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   12 (  10 usr;   3 con; 0-2 aty)
%            Number of variables   :   24 (   0   ^;  24   !;   0   ?;  24   :)

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

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

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

thf(sk__5_type,type,
    sk__5: $i ).

thf(sk__6_type,type,
    sk__6: $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(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_cl36,plain,
    ! [X0: $i] :
      ( ~ ( one_to_one @ X0 )
      | ( ( relation_dom @ X0 )
        = ( relation_rng @ ( function_inverse @ X0 ) ) )
      | ~ ( function @ X0 )
      | ~ ( relation @ X0 ) ),
    inference(cnf,[status(esa)],[t55_funct_1]) ).

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

thf(zip_derived_cl5,plain,
    ! [X0: $i] :
      ( ( relation @ ( function_inverse @ X0 ) )
      | ~ ( function @ X0 )
      | ~ ( relation @ X0 ) ),
    inference(cnf,[status(esa)],[dt_k2_funct_1]) ).

thf(zip_derived_cl6,plain,
    ! [X0: $i] :
      ( ( function @ ( function_inverse @ X0 ) )
      | ~ ( function @ X0 )
      | ~ ( relation @ X0 ) ),
    inference(cnf,[status(esa)],[dt_k2_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_cl38,plain,
    ! [X0: $i] :
      ( ~ ( one_to_one @ X0 )
      | ( ( relation_composition @ ( function_inverse @ X0 ) @ X0 )
        = ( identity_relation @ ( relation_rng @ X0 ) ) )
      | ~ ( function @ X0 )
      | ~ ( relation @ X0 ) ),
    inference(cnf,[status(esa)],[t61_funct_1]) ).

thf(t63_funct_1,conjecture,
    ! [A: $i] :
      ( ( ( relation @ A )
        & ( function @ A ) )
     => ! [B: $i] :
          ( ( ( relation @ B )
            & ( function @ B ) )
         => ( ( ( one_to_one @ A )
              & ( ( relation_rng @ A )
                = ( relation_dom @ B ) )
              & ( ( relation_composition @ A @ B )
                = ( identity_relation @ ( relation_dom @ A ) ) ) )
           => ( B
              = ( function_inverse @ A ) ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i] :
        ( ( ( relation @ A )
          & ( function @ A ) )
       => ! [B: $i] :
            ( ( ( relation @ B )
              & ( function @ B ) )
           => ( ( ( one_to_one @ A )
                & ( ( relation_rng @ A )
                  = ( relation_dom @ B ) )
                & ( ( relation_composition @ A @ B )
                  = ( identity_relation @ ( relation_dom @ A ) ) ) )
             => ( B
                = ( function_inverse @ A ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[t63_funct_1]) ).

thf(zip_derived_cl44,plain,
    ( ( relation_composition @ sk__5 @ sk__6 )
    = ( identity_relation @ ( relation_dom @ sk__5 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(l72_funct_1,axiom,
    ! [A: $i,B: $i] :
      ( ( ( relation @ B )
        & ( function @ B ) )
     => ! [C: $i] :
          ( ( ( relation @ C )
            & ( function @ C ) )
         => ! [D: $i] :
              ( ( ( relation @ D )
                & ( function @ D ) )
             => ( ( ( ( relation_rng @ B )
                    = A )
                  & ( ( relation_composition @ B @ C )
                    = ( identity_relation @ ( relation_dom @ D ) ) )
                  & ( ( relation_composition @ C @ D )
                    = ( identity_relation @ A ) ) )
               => ( D = B ) ) ) ) ) ).

thf(zip_derived_cl23,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( relation @ X0 )
      | ~ ( function @ X0 )
      | ( ( relation_rng @ X2 )
       != X1 )
      | ( ( relation_composition @ X2 @ X0 )
       != ( identity_relation @ ( relation_dom @ X3 ) ) )
      | ( ( relation_composition @ X0 @ X3 )
       != ( identity_relation @ X1 ) )
      | ( X3 = X2 )
      | ~ ( function @ X3 )
      | ~ ( relation @ X3 )
      | ~ ( function @ X2 )
      | ~ ( relation @ X2 ) ),
    inference(cnf,[status(esa)],[l72_funct_1]) ).

thf(zip_derived_cl138,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( identity_relation @ ( relation_dom @ sk__5 ) )
       != ( identity_relation @ X0 ) )
      | ~ ( relation @ X1 )
      | ~ ( function @ X1 )
      | ~ ( relation @ sk__6 )
      | ~ ( function @ sk__6 )
      | ( sk__6 = X1 )
      | ( ( relation_composition @ X1 @ sk__5 )
       != ( identity_relation @ ( relation_dom @ sk__6 ) ) )
      | ( ( relation_rng @ X1 )
       != X0 )
      | ~ ( function @ sk__5 )
      | ~ ( relation @ sk__5 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl44,zip_derived_cl23]) ).

thf(zip_derived_cl47,plain,
    relation @ sk__6,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl46,plain,
    function @ sk__6,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl43,plain,
    ( ( relation_rng @ sk__5 )
    = ( relation_dom @ sk__6 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl41,plain,
    function @ sk__5,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl40,plain,
    relation @ sk__5,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl139,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( identity_relation @ ( relation_dom @ sk__5 ) )
       != ( identity_relation @ X0 ) )
      | ~ ( relation @ X1 )
      | ~ ( function @ X1 )
      | ( sk__6 = X1 )
      | ( ( relation_composition @ X1 @ sk__5 )
       != ( identity_relation @ ( relation_rng @ sk__5 ) ) )
      | ( ( relation_rng @ X1 )
       != X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl138,zip_derived_cl47,zip_derived_cl46,zip_derived_cl43,zip_derived_cl41,zip_derived_cl40]) ).

thf(zip_derived_cl150,plain,
    ! [X0: $i] :
      ( ( ( relation_rng @ X0 )
       != ( relation_dom @ sk__5 ) )
      | ( ( relation_composition @ X0 @ sk__5 )
       != ( identity_relation @ ( relation_rng @ sk__5 ) ) )
      | ( sk__6 = X0 )
      | ~ ( function @ X0 )
      | ~ ( relation @ X0 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl139]) ).

thf(zip_derived_cl201,plain,
    ( ( ( identity_relation @ ( relation_rng @ sk__5 ) )
     != ( identity_relation @ ( relation_rng @ sk__5 ) ) )
    | ~ ( relation @ sk__5 )
    | ~ ( function @ sk__5 )
    | ~ ( one_to_one @ sk__5 )
    | ~ ( relation @ ( function_inverse @ sk__5 ) )
    | ~ ( function @ ( function_inverse @ sk__5 ) )
    | ( sk__6
      = ( function_inverse @ sk__5 ) )
    | ( ( relation_rng @ ( function_inverse @ sk__5 ) )
     != ( relation_dom @ sk__5 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl38,zip_derived_cl150]) ).

thf(zip_derived_cl40_001,plain,
    relation @ sk__5,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl41_002,plain,
    function @ sk__5,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl42,plain,
    one_to_one @ sk__5,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl208,plain,
    ( ( ( identity_relation @ ( relation_rng @ sk__5 ) )
     != ( identity_relation @ ( relation_rng @ sk__5 ) ) )
    | ~ ( relation @ ( function_inverse @ sk__5 ) )
    | ~ ( function @ ( function_inverse @ sk__5 ) )
    | ( sk__6
      = ( function_inverse @ sk__5 ) )
    | ( ( relation_rng @ ( function_inverse @ sk__5 ) )
     != ( relation_dom @ sk__5 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl201,zip_derived_cl40,zip_derived_cl41,zip_derived_cl42]) ).

thf(zip_derived_cl209,plain,
    ( ( ( relation_rng @ ( function_inverse @ sk__5 ) )
     != ( relation_dom @ sk__5 ) )
    | ( sk__6
      = ( function_inverse @ sk__5 ) )
    | ~ ( function @ ( function_inverse @ sk__5 ) )
    | ~ ( relation @ ( function_inverse @ sk__5 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl208]) ).

thf(zip_derived_cl45,plain,
    ( sk__6
   != ( function_inverse @ sk__5 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl210,plain,
    ( ( ( relation_rng @ ( function_inverse @ sk__5 ) )
     != ( relation_dom @ sk__5 ) )
    | ~ ( function @ ( function_inverse @ sk__5 ) )
    | ~ ( relation @ ( function_inverse @ sk__5 ) ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl209,zip_derived_cl45]) ).

thf(zip_derived_cl211,plain,
    ( ~ ( relation @ sk__5 )
    | ~ ( function @ sk__5 )
    | ~ ( relation @ ( function_inverse @ sk__5 ) )
    | ( ( relation_rng @ ( function_inverse @ sk__5 ) )
     != ( relation_dom @ sk__5 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl210]) ).

thf(zip_derived_cl40_003,plain,
    relation @ sk__5,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl41_004,plain,
    function @ sk__5,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl212,plain,
    ( ~ ( relation @ ( function_inverse @ sk__5 ) )
    | ( ( relation_rng @ ( function_inverse @ sk__5 ) )
     != ( relation_dom @ sk__5 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl211,zip_derived_cl40,zip_derived_cl41]) ).

thf(zip_derived_cl213,plain,
    ( ~ ( relation @ sk__5 )
    | ~ ( function @ sk__5 )
    | ( ( relation_rng @ ( function_inverse @ sk__5 ) )
     != ( relation_dom @ sk__5 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl212]) ).

thf(zip_derived_cl40_005,plain,
    relation @ sk__5,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl41_006,plain,
    function @ sk__5,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl214,plain,
    ( ( relation_rng @ ( function_inverse @ sk__5 ) )
   != ( relation_dom @ sk__5 ) ),
    inference(demod,[status(thm)],[zip_derived_cl213,zip_derived_cl40,zip_derived_cl41]) ).

thf(zip_derived_cl215,plain,
    ( ( ( relation_dom @ sk__5 )
     != ( relation_dom @ sk__5 ) )
    | ~ ( relation @ sk__5 )
    | ~ ( function @ sk__5 )
    | ~ ( one_to_one @ sk__5 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl36,zip_derived_cl214]) ).

thf(zip_derived_cl40_007,plain,
    relation @ sk__5,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl41_008,plain,
    function @ sk__5,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl42_009,plain,
    one_to_one @ sk__5,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl216,plain,
    ( ( relation_dom @ sk__5 )
   != ( relation_dom @ sk__5 ) ),
    inference(demod,[status(thm)],[zip_derived_cl215,zip_derived_cl40,zip_derived_cl41,zip_derived_cl42]) ).

thf(zip_derived_cl217,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl216]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem  : SEU030+1 : TPTP v9.2.0. Released v3.2.0.
% 0.12/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.AOruSgNY7E true
% 0.12/0.36  % Computer : n007.cluster.edu
% 0.12/0.36  % Model    : x86_64 x86_64
% 0.12/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.36  % Memory   : 8042.1875MB
% 0.12/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.36  % CPULimit : 300
% 0.12/0.36  % WCLimit  : 300
% 0.12/0.36  % DateTime : Wed Oct  1 16:04:23 EDT 2025
% 0.12/0.36  % CPUTime  : 
% 0.12/0.36  % Running portfolio for 300 s
% 0.12/0.36  % File         : /export/starexec/sandbox2/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
% 0.49/0.63  % Total configuration time : 435
% 0.49/0.63  % Estimated wc time : 1092
% 0.49/0.63  % Estimated cpu time (7 cpus) : 156.0
% 0.52/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.52/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.52/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.52/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.52/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.52/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.52/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.53/0.85  % Solved by fo/fo4.sh.
% 0.53/0.85  % done 114 iterations in 0.073s
% 0.53/0.85  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.53/0.85  % SZS output start Refutation
% See solution above
% 0.53/0.85  
% 0.53/0.85  
% 0.53/0.85  % Terminating...
% 0.56/1.00  % Runner terminated.
% 0.56/1.02  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------