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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWW288+1 : TPTP v9.2.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.Vf2nwVwr8H true

% Computer : n011.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 05:02:33 PM UTC 2025

% Result   : Theorem 4.17s 1.18s
% Output   : Refutation 4.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   24 (  16 unt;   0 typ;   0 def)
%            Number of atoms       :   34 (  15 equ;   0 cnn)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :  115 (   9   ~;   6   |;   1   &;  96   @)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   16 (  14 usr;   5 con; 0-3 aty)
%            Number of variables   :    8 (   0   ^;   8   !;   0   ?;   8   :)

% Comments : 
%------------------------------------------------------------------------------
thf(c_HOL_Obool_Obool__size_type,type,
    c_HOL_Obool_Obool__size: $i > $i ).

thf(hAPP_type,type,
    hAPP: $i > $i > $i ).

thf(c_Polynomial_Odegree_type,type,
    c_Polynomial_Odegree: $i > $i > $i ).

thf(v_p_type,type,
    v_p: $i ).

thf(tc_Polynomial_Opoly_type,type,
    tc_Polynomial_Opoly: $i > $i ).

thf(tc_Nat_Onat_type,type,
    tc_Nat_Onat: $i ).

thf(c_Polynomial_Opoly_type,type,
    c_Polynomial_Opoly: $i > $i > $i ).

thf(c_Groups_Ozero__class_Ozero_type,type,
    c_Groups_Ozero__class_Ozero: $i > $i ).

thf(c_fTrue_type,type,
    c_fTrue: $i ).

thf(class_Rings_Oidom_type,type,
    class_Rings_Oidom: $i > $o ).

thf(c_Polynomial_OpCons_type,type,
    c_Polynomial_OpCons: $i > $i > $i > $i ).

thf(class_Int_Oring__char__0_type,type,
    class_Int_Oring__char__0: $i > $o ).

thf(class_Groups_Ozero_type,type,
    class_Groups_Ozero: $i > $o ).

thf(t_a_type,type,
    t_a: $i ).

thf(fact__096p_A_061_A_091_058poly_Ap_A_I0_058_058_Ha_J_058_093_096,axiom,
    ( ( ( class_Int_Oring__char__0 @ t_a )
      & ( class_Rings_Oidom @ t_a ) )
   => ( v_p
      = ( c_Polynomial_OpCons @ t_a @ ( hAPP @ ( c_Polynomial_Opoly @ t_a @ v_p ) @ ( c_Groups_Ozero__class_Ozero @ t_a ) ) @ ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ t_a ) ) ) ) ) ).

thf(zip_derived_cl15,plain,
    ( ( v_p
      = ( c_Polynomial_OpCons @ t_a @ ( hAPP @ ( c_Polynomial_Opoly @ t_a @ v_p ) @ ( c_Groups_Ozero__class_Ozero @ t_a ) ) @ ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ t_a ) ) ) )
    | ~ ( class_Rings_Oidom @ t_a )
    | ~ ( class_Int_Oring__char__0 @ t_a ) ),
    inference(cnf,[status(esa)],[fact__096p_A_061_A_091_058poly_Ap_A_I0_058_058_Ha_J_058_093_096]) ).

thf(tfree_1,axiom,
    class_Rings_Oidom @ t_a ).

thf(zip_derived_cl1681,plain,
    class_Rings_Oidom @ t_a,
    inference(cnf,[status(esa)],[tfree_1]) ).

thf(tfree_0,axiom,
    class_Int_Oring__char__0 @ t_a ).

thf(zip_derived_cl1680,plain,
    class_Int_Oring__char__0 @ t_a,
    inference(cnf,[status(esa)],[tfree_0]) ).

thf(zip_derived_cl1902,plain,
    ( v_p
    = ( c_Polynomial_OpCons @ t_a @ ( hAPP @ ( c_Polynomial_Opoly @ t_a @ v_p ) @ ( c_Groups_Ozero__class_Ozero @ t_a ) ) @ ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ t_a ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl15,zip_derived_cl1681,zip_derived_cl1680]) ).

thf(fact_degree__pCons__0,axiom,
    ! [V_a: $i,T_a: $i] :
      ( ( class_Groups_Ozero @ T_a )
     => ( ( c_Polynomial_Odegree @ T_a @ ( c_Polynomial_OpCons @ T_a @ V_a @ ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ T_a ) ) ) )
        = ( c_Groups_Ozero__class_Ozero @ tc_Nat_Onat ) ) ) ).

thf(zip_derived_cl44,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( c_Polynomial_Odegree @ X0 @ ( c_Polynomial_OpCons @ X0 @ X1 @ ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ X0 ) ) ) )
        = ( c_Groups_Ozero__class_Ozero @ tc_Nat_Onat ) )
      | ~ ( class_Groups_Ozero @ X0 ) ),
    inference(cnf,[status(esa)],[fact_degree__pCons__0]) ).

thf(fact_bool_Osize_I1_J,axiom,
    ( ( c_HOL_Obool_Obool__size @ c_fTrue )
    = ( c_Groups_Ozero__class_Ozero @ tc_Nat_Onat ) ) ).

thf(zip_derived_cl10,plain,
    ( ( c_HOL_Obool_Obool__size @ c_fTrue )
    = ( c_Groups_Ozero__class_Ozero @ tc_Nat_Onat ) ),
    inference(cnf,[status(esa)],[fact_bool_Osize_I1_J]) ).

thf(zip_derived_cl2694,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( c_Polynomial_Odegree @ X0 @ ( c_Polynomial_OpCons @ X0 @ X1 @ ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ X0 ) ) ) )
        = ( c_HOL_Obool_Obool__size @ c_fTrue ) )
      | ~ ( class_Groups_Ozero @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl44,zip_derived_cl10]) ).

thf(zip_derived_cl2697,plain,
    ( ( ( c_Polynomial_Odegree @ t_a @ v_p )
      = ( c_HOL_Obool_Obool__size @ c_fTrue ) )
    | ~ ( class_Groups_Ozero @ t_a ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1902,zip_derived_cl2694]) ).

thf(clrel_Rings_Oidom__Groups_Ozero,axiom,
    ! [T: $i] :
      ( ( class_Rings_Oidom @ T )
     => ( class_Groups_Ozero @ T ) ) ).

thf(zip_derived_cl1506,plain,
    ! [X0: $i] :
      ( ( class_Groups_Ozero @ X0 )
      | ~ ( class_Rings_Oidom @ X0 ) ),
    inference(cnf,[status(esa)],[clrel_Rings_Oidom__Groups_Ozero]) ).

thf(zip_derived_cl1681_001,plain,
    class_Rings_Oidom @ t_a,
    inference(cnf,[status(esa)],[tfree_1]) ).

thf(zip_derived_cl1909,plain,
    class_Groups_Ozero @ t_a,
    inference('sup+',[status(thm)],[zip_derived_cl1506,zip_derived_cl1681]) ).

thf(zip_derived_cl2702,plain,
    ( ( c_Polynomial_Odegree @ t_a @ v_p )
    = ( c_HOL_Obool_Obool__size @ c_fTrue ) ),
    inference(demod,[status(thm)],[zip_derived_cl2697,zip_derived_cl1909]) ).

thf(conj_0,conjecture,
    ( ( c_Polynomial_Odegree @ t_a @ v_p )
    = ( c_Groups_Ozero__class_Ozero @ tc_Nat_Onat ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ( ( c_Polynomial_Odegree @ t_a @ v_p )
   != ( c_Groups_Ozero__class_Ozero @ tc_Nat_Onat ) ),
    inference('cnf.neg',[status(esa)],[conj_0]) ).

thf(zip_derived_cl1679,plain,
    ( ( c_Polynomial_Odegree @ t_a @ v_p )
   != ( c_Groups_Ozero__class_Ozero @ tc_Nat_Onat ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl10_002,plain,
    ( ( c_HOL_Obool_Obool__size @ c_fTrue )
    = ( c_Groups_Ozero__class_Ozero @ tc_Nat_Onat ) ),
    inference(cnf,[status(esa)],[fact_bool_Osize_I1_J]) ).

thf(zip_derived_cl1776,plain,
    ( ( c_Polynomial_Odegree @ t_a @ v_p )
   != ( c_HOL_Obool_Obool__size @ c_fTrue ) ),
    inference(demod,[status(thm)],[zip_derived_cl1679,zip_derived_cl10]) ).

thf(zip_derived_cl2703,plain,
    $false,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl2702,zip_derived_cl1776]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SWW288+1 : TPTP v9.2.0. Released v5.2.0.
% 0.03/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.Vf2nwVwr8H true
% 0.13/0.34  % Computer : n011.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 11:59:23 EDT 2025
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  % Running portfolio for 300 s
% 0.13/0.34  % File         : /export/starexec/sandbox/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
% 0.55/0.63  % Total configuration time : 435
% 0.55/0.63  % Estimated wc time : 1092
% 0.55/0.63  % Estimated cpu time (7 cpus) : 156.0
% 0.55/0.70  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.55/0.73  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.56/0.74  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.56/0.75  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.56/0.75  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.56/0.75  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.56/0.75  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 4.17/1.18  % Solved by fo/fo5.sh.
% 4.17/1.18  % done 802 iterations in 0.395s
% 4.17/1.18  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 4.17/1.18  % SZS output start Refutation
% See solution above
% 4.17/1.18  
% 4.17/1.18  
% 4.17/1.18  % Terminating...
% 4.17/1.24  % Runner terminated.
% 4.17/1.25  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------