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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : KLE119+1 : TPTP v9.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.fkYZvY5RIu true

% Computer : n006.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 04:40:18 PM UTC 2025

% Result   : Theorem 0.62s 0.82s
% Output   : Refutation 0.62s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   36 (  36 unt;   0 typ;   0 def)
%            Number of atoms       :   36 (  35 equ;   0 cnn)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :  143 (   6   ~;   0   |;   0   &; 137   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   13 (  11 usr;   5 con; 0-2 aty)
%            Number of variables   :   32 (   0   ^;  32   !;   0   ?;  32   :)

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

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

thf(backward_diamond_type,type,
    backward_diamond: $i > $i > $i ).

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

thf(addition_type,type,
    addition: $i > $i > $i ).

thf(antidomain_type,type,
    antidomain: $i > $i ).

thf(codomain_type,type,
    codomain: $i > $i ).

thf(sk__1_type,type,
    sk__1: $i ).

thf(coantidomain_type,type,
    coantidomain: $i > $i ).

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

thf(zero_type,type,
    zero: $i ).

thf(goals,conjecture,
    ! [X0: $i,X1: $i] :
      ( ( addition @ ( backward_diamond @ zero @ ( domain @ X0 ) ) @ ( domain @ X1 ) )
      = ( domain @ X1 ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [X0: $i,X1: $i] :
        ( ( addition @ ( backward_diamond @ zero @ ( domain @ X0 ) ) @ ( domain @ X1 ) )
        = ( domain @ X1 ) ),
    inference('cnf.neg',[status(esa)],[goals]) ).

thf(zip_derived_cl27,plain,
    ( ( addition @ ( backward_diamond @ zero @ ( domain @ sk_ ) ) @ ( domain @ sk__1 ) )
   != ( domain @ sk__1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(additive_commutativity,axiom,
    ! [A: $i,B: $i] :
      ( ( addition @ A @ B )
      = ( addition @ B @ A ) ) ).

thf(zip_derived_cl0,plain,
    ! [X0: $i,X1: $i] :
      ( ( addition @ X1 @ X0 )
      = ( addition @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[additive_commutativity]) ).

thf(zip_derived_cl30,plain,
    ( ( addition @ ( domain @ sk__1 ) @ ( backward_diamond @ zero @ ( domain @ sk_ ) ) )
   != ( domain @ sk__1 ) ),
    inference(demod,[status(thm)],[zip_derived_cl27,zip_derived_cl0]) ).

thf(domain4,axiom,
    ! [X0: $i] :
      ( ( domain @ X0 )
      = ( antidomain @ ( antidomain @ X0 ) ) ) ).

thf(zip_derived_cl16,plain,
    ! [X0: $i] :
      ( ( domain @ X0 )
      = ( antidomain @ ( antidomain @ X0 ) ) ),
    inference(cnf,[status(esa)],[domain4]) ).

thf(zip_derived_cl16_001,plain,
    ! [X0: $i] :
      ( ( domain @ X0 )
      = ( antidomain @ ( antidomain @ X0 ) ) ),
    inference(cnf,[status(esa)],[domain4]) ).

thf(zip_derived_cl16_002,plain,
    ! [X0: $i] :
      ( ( domain @ X0 )
      = ( antidomain @ ( antidomain @ X0 ) ) ),
    inference(cnf,[status(esa)],[domain4]) ).

thf(zip_derived_cl38,plain,
    ( ( addition @ ( antidomain @ ( antidomain @ sk__1 ) ) @ ( backward_diamond @ zero @ ( antidomain @ ( antidomain @ sk_ ) ) ) )
   != ( antidomain @ ( antidomain @ sk__1 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl30,zip_derived_cl16,zip_derived_cl16,zip_derived_cl16]) ).

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

thf(zip_derived_cl24,plain,
    ! [X0: $i,X1: $i] :
      ( ( backward_diamond @ X1 @ X0 )
      = ( codomain @ ( multiplication @ ( codomain @ X0 ) @ X1 ) ) ),
    inference(cnf,[status(esa)],[backward_diamond]) ).

thf(codomain4,axiom,
    ! [X0: $i] :
      ( ( codomain @ X0 )
      = ( coantidomain @ ( coantidomain @ X0 ) ) ) ).

thf(zip_derived_cl20,plain,
    ! [X0: $i] :
      ( ( codomain @ X0 )
      = ( coantidomain @ ( coantidomain @ X0 ) ) ),
    inference(cnf,[status(esa)],[codomain4]) ).

thf(zip_derived_cl20_003,plain,
    ! [X0: $i] :
      ( ( codomain @ X0 )
      = ( coantidomain @ ( coantidomain @ X0 ) ) ),
    inference(cnf,[status(esa)],[codomain4]) ).

thf(zip_derived_cl58,plain,
    ! [X0: $i,X1: $i] :
      ( ( backward_diamond @ X1 @ X0 )
      = ( coantidomain @ ( coantidomain @ ( multiplication @ ( coantidomain @ ( coantidomain @ X0 ) ) @ X1 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl24,zip_derived_cl20,zip_derived_cl20]) ).

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

thf(zip_derived_cl9,plain,
    ! [X0: $i] :
      ( ( multiplication @ X0 @ zero )
      = zero ),
    inference(cnf,[status(esa)],[right_annihilation]) ).

thf(zip_derived_cl59,plain,
    ( ( addition @ ( antidomain @ ( antidomain @ sk__1 ) ) @ ( coantidomain @ ( coantidomain @ zero ) ) )
   != ( antidomain @ ( antidomain @ sk__1 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl38,zip_derived_cl58,zip_derived_cl9]) ).

thf(codomain1,axiom,
    ! [X0: $i] :
      ( ( multiplication @ X0 @ ( coantidomain @ X0 ) )
      = zero ) ).

thf(zip_derived_cl17,plain,
    ! [X0: $i] :
      ( ( multiplication @ X0 @ ( coantidomain @ X0 ) )
      = zero ),
    inference(cnf,[status(esa)],[codomain1]) ).

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_cl55,plain,
    ( zero
    = ( coantidomain @ one ) ),
    inference('sup+',[status(thm)],[zip_derived_cl17,zip_derived_cl6]) ).

thf(codomain3,axiom,
    ! [X0: $i] :
      ( ( addition @ ( coantidomain @ ( coantidomain @ X0 ) ) @ ( coantidomain @ X0 ) )
      = one ) ).

thf(zip_derived_cl19,plain,
    ! [X0: $i] :
      ( ( addition @ ( coantidomain @ ( coantidomain @ X0 ) ) @ ( coantidomain @ X0 ) )
      = one ),
    inference(cnf,[status(esa)],[codomain3]) ).

thf(zip_derived_cl94,plain,
    ( ( addition @ ( coantidomain @ ( coantidomain @ one ) ) @ zero )
    = one ),
    inference('sup+',[status(thm)],[zip_derived_cl55,zip_derived_cl19]) ).

thf(zip_derived_cl55_004,plain,
    ( zero
    = ( coantidomain @ one ) ),
    inference('sup+',[status(thm)],[zip_derived_cl17,zip_derived_cl6]) ).

thf(additive_identity,axiom,
    ! [A: $i] :
      ( ( addition @ A @ zero )
      = A ) ).

thf(zip_derived_cl2,plain,
    ! [X0: $i] :
      ( ( addition @ X0 @ zero )
      = X0 ),
    inference(cnf,[status(esa)],[additive_identity]) ).

thf(zip_derived_cl96,plain,
    ( ( coantidomain @ zero )
    = one ),
    inference(demod,[status(thm)],[zip_derived_cl94,zip_derived_cl55,zip_derived_cl2]) ).

thf(zip_derived_cl55_005,plain,
    ( zero
    = ( coantidomain @ one ) ),
    inference('sup+',[status(thm)],[zip_derived_cl17,zip_derived_cl6]) ).

thf(zip_derived_cl2_006,plain,
    ! [X0: $i] :
      ( ( addition @ X0 @ zero )
      = X0 ),
    inference(cnf,[status(esa)],[additive_identity]) ).

thf(zip_derived_cl103,plain,
    ( ( antidomain @ ( antidomain @ sk__1 ) )
   != ( antidomain @ ( antidomain @ sk__1 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl59,zip_derived_cl96,zip_derived_cl55,zip_derived_cl2]) ).

thf(zip_derived_cl104,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl103]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : KLE119+1 : TPTP v9.2.0. Released v4.0.0.
% 0.03/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.fkYZvY5RIu true
% 0.13/0.34  % Computer : n006.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Wed Oct  1 14:01:53 EDT 2025
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  % Running portfolio for 300 s
% 0.13/0.34  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34  % Number of cores: 8
% 0.13/0.35  % Python version: Python 3.6.8
% 0.13/0.35  % Running in FO mode
% 0.62/0.68  % Total configuration time : 435
% 0.62/0.68  % Estimated wc time : 1092
% 0.62/0.68  % Estimated cpu time (7 cpus) : 156.0
% 0.62/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.62/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.62/0.78  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.62/0.80  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.62/0.80  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.62/0.80  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.62/0.81  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.62/0.82  % Solved by fo/fo3_bce.sh.
% 0.62/0.82  % BCE start: 28
% 0.62/0.82  % BCE eliminated: 2
% 0.62/0.82  % PE start: 26
% 0.62/0.82  logic: eq
% 0.62/0.82  % PE eliminated: 0
% 0.62/0.82  % done 36 iterations in 0.030s
% 0.62/0.82  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.62/0.82  % SZS output start Refutation
% See solution above
% 0.62/0.82  
% 0.62/0.82  
% 0.62/0.82  % Terminating...
% 0.69/0.89  % Runner terminated.
% 0.69/0.91  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------