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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : ITP209_1 : TPTP v9.2.0. Released v8.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.wuOhegXsyP true

% Computer : n024.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 04:39:12 PM UTC 2025

% Result   : Theorem 0.84s 1.08s
% Output   : Refutation 0.84s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   13 (  13 unt;   0 typ;   0 def)
%            Number of atoms       :   13 (  12 equ;   0 cnn)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :  164 (   4   ~;   0   |;   0   &; 160   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 avg)
%            Number of types       :    3 (   3 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    8 (   6 usr;   5 con; 0-2 aty)
%            Number of variables   :   17 (   0   ^;  17   !;   0   ?;  17   :)

% Comments : 
%------------------------------------------------------------------------------
thf(a_type,type,
    a: $tType ).

thf(fun_a_a_type,type,
    fun_a_a: $tType ).

thf(fun_a_fun_a_a_type,type,
    fun_a_fun_a_a: $tType ).

thf(f_type,type,
    f: fun_a_fun_a_a ).

thf(b_type,type,
    b: a ).

thf(aa_a_a_type,type,
    aa_a_a: fun_a_a > a > a ).

thf(aa_a_fun_a_a_type,type,
    aa_a_fun_a_a: fun_a_fun_a_a > a > fun_a_a ).

thf(a2_type,type,
    a2: a ).

thf(c_type,type,
    c: a ).

thf(conj_0,conjecture,
    ( ( aa_a_a @ ( aa_a_fun_a_a @ f @ ( aa_a_a @ ( aa_a_fun_a_a @ f @ a2 ) @ b ) ) @ c )
    = ( aa_a_a @ ( aa_a_fun_a_a @ f @ ( aa_a_a @ ( aa_a_fun_a_a @ f @ a2 ) @ c ) ) @ b ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ( ( aa_a_a @ ( aa_a_fun_a_a @ f @ ( aa_a_a @ ( aa_a_fun_a_a @ f @ a2 ) @ b ) ) @ c )
   != ( aa_a_a @ ( aa_a_fun_a_a @ f @ ( aa_a_a @ ( aa_a_fun_a_a @ f @ a2 ) @ c ) ) @ b ) ),
    inference('cnf.neg',[status(esa)],[conj_0]) ).

thf(zip_derived_cl14,plain,
    ( ( aa_a_a @ ( aa_a_fun_a_a @ f @ ( aa_a_a @ ( aa_a_fun_a_a @ f @ a2 ) @ b ) ) @ c )
   != ( aa_a_a @ ( aa_a_fun_a_a @ f @ ( aa_a_a @ ( aa_a_fun_a_a @ f @ a2 ) @ c ) ) @ b ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(fact_1_commute,axiom,
    ! [A: a,B: a] :
      ( ( aa_a_a @ ( aa_a_fun_a_a @ f @ A ) @ B )
      = ( aa_a_a @ ( aa_a_fun_a_a @ f @ B ) @ A ) ) ).

thf(zip_derived_cl1,plain,
    ! [X0: a,X1: a] :
      ( ( aa_a_a @ ( aa_a_fun_a_a @ f @ X1 ) @ X0 )
      = ( aa_a_a @ ( aa_a_fun_a_a @ f @ X0 ) @ X1 ) ),
    inference(cnf,[status(esa)],[fact_1_commute]) ).

thf(zip_derived_cl1_001,plain,
    ! [X0: a,X1: a] :
      ( ( aa_a_a @ ( aa_a_fun_a_a @ f @ X1 ) @ X0 )
      = ( aa_a_a @ ( aa_a_fun_a_a @ f @ X0 ) @ X1 ) ),
    inference(cnf,[status(esa)],[fact_1_commute]) ).

thf(zip_derived_cl58,plain,
    ( ( aa_a_a @ ( aa_a_fun_a_a @ f @ c ) @ ( aa_a_a @ ( aa_a_fun_a_a @ f @ a2 ) @ b ) )
   != ( aa_a_a @ ( aa_a_fun_a_a @ f @ b ) @ ( aa_a_a @ ( aa_a_fun_a_a @ f @ a2 ) @ c ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl14,zip_derived_cl1,zip_derived_cl1]) ).

thf(fact_2_left__commute,axiom,
    ! [A: a,B: a,C: a] :
      ( ( aa_a_a @ ( aa_a_fun_a_a @ f @ A ) @ ( aa_a_a @ ( aa_a_fun_a_a @ f @ B ) @ C ) )
      = ( aa_a_a @ ( aa_a_fun_a_a @ f @ B ) @ ( aa_a_a @ ( aa_a_fun_a_a @ f @ A ) @ C ) ) ) ).

thf(zip_derived_cl2,plain,
    ! [X0: a,X1: a,X2: a] :
      ( ( aa_a_a @ ( aa_a_fun_a_a @ f @ X1 ) @ ( aa_a_a @ ( aa_a_fun_a_a @ f @ X0 ) @ X2 ) )
      = ( aa_a_a @ ( aa_a_fun_a_a @ f @ X0 ) @ ( aa_a_a @ ( aa_a_fun_a_a @ f @ X1 ) @ X2 ) ) ),
    inference(cnf,[status(esa)],[fact_2_left__commute]) ).

thf(zip_derived_cl1_002,plain,
    ! [X0: a,X1: a] :
      ( ( aa_a_a @ ( aa_a_fun_a_a @ f @ X1 ) @ X0 )
      = ( aa_a_a @ ( aa_a_fun_a_a @ f @ X0 ) @ X1 ) ),
    inference(cnf,[status(esa)],[fact_1_commute]) ).

thf(zip_derived_cl2_003,plain,
    ! [X0: a,X1: a,X2: a] :
      ( ( aa_a_a @ ( aa_a_fun_a_a @ f @ X1 ) @ ( aa_a_a @ ( aa_a_fun_a_a @ f @ X0 ) @ X2 ) )
      = ( aa_a_a @ ( aa_a_fun_a_a @ f @ X0 ) @ ( aa_a_a @ ( aa_a_fun_a_a @ f @ X1 ) @ X2 ) ) ),
    inference(cnf,[status(esa)],[fact_2_left__commute]) ).

thf(zip_derived_cl59,plain,
    ( ( aa_a_a @ ( aa_a_fun_a_a @ f @ a2 ) @ ( aa_a_a @ ( aa_a_fun_a_a @ f @ b ) @ c ) )
   != ( aa_a_a @ ( aa_a_fun_a_a @ f @ a2 ) @ ( aa_a_a @ ( aa_a_fun_a_a @ f @ b ) @ c ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl58,zip_derived_cl2,zip_derived_cl1,zip_derived_cl2]) ).

thf(zip_derived_cl60,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl59]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.36  % Problem  : ITP209_1 : TPTP v9.2.0. Released v8.0.0.
% 0.07/0.39  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.wuOhegXsyP true
% 0.11/0.66  % Computer : n024.cluster.edu
% 0.11/0.66  % Model    : x86_64 x86_64
% 0.11/0.66  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.66  % Memory   : 8042.1875MB
% 0.11/0.66  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.66  % CPULimit : 300
% 0.11/0.66  % WCLimit  : 300
% 0.11/0.66  % DateTime : Wed Oct  1 15:31:24 EDT 2025
% 0.11/0.67  % CPUTime  : 
% 0.11/0.67  % Running portfolio for 300 s
% 0.11/0.67  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.67  % Number of cores: 8
% 0.11/0.68  % Python version: Python 3.6.8
% 0.11/0.69  % Running in FO mode
% 0.15/0.93  % Total configuration time : 435
% 0.15/0.93  % Estimated wc time : 1092
% 0.15/0.93  % Estimated cpu time (7 cpus) : 156.0
% 0.15/0.98  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.84/1.06  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.84/1.08  % Solved by fo/fo6_bce.sh.
% 0.84/1.08  % BCE start: 15
% 0.84/1.08  % BCE eliminated: 0
% 0.84/1.08  % PE start: 15
% 0.84/1.08  logic: eq
% 0.84/1.08  % PE eliminated: 1
% 0.84/1.08  % done 5 iterations in 0.025s
% 0.84/1.08  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.84/1.08  % SZS output start Refutation
% See solution above
% 0.84/1.08  
% 0.84/1.08  
% 0.84/1.08  % Terminating...
% 0.90/1.15  % Runner terminated.
% 1.03/1.16  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------