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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWW216+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.7s6COaNH7H true

% Computer : n027.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 05:02:26 PM UTC 2025

% Result   : Theorem 7.28s 1.63s
% Output   : Refutation 7.28s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   17 (  14 unt;   0 typ;   0 def)
%            Number of atoms       :   25 (   3 equ;   0 cnn)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :  138 (   8   ~;   5   |;   0   &; 122   @)
%                                         (   1 <=>;   2  =>;   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     :   12 (  10 usr;   5 con; 0-3 aty)
%            Number of variables   :   14 (   0   ^;  14   !;   0   ?;  14   :)

% Comments : 
%------------------------------------------------------------------------------
thf(v_da_____type,type,
    v_da____: $i ).

thf(class_Fields_Olinordered__field_type,type,
    class_Fields_Olinordered__field: $i > $o ).

thf(tc_RealDef_Oreal_type,type,
    tc_RealDef_Oreal: $i ).

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

thf(v_m_____type,type,
    v_m____: $i ).

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

thf(v_e_type,type,
    v_e: $i ).

thf(c_Rings_Oinverse__class_Odivide_type,type,
    c_Rings_Oinverse__class_Odivide: $i > $i > $i > $i ).

thf(c_Groups_Otimes__class_Otimes_type,type,
    c_Groups_Otimes__class_Otimes: $i > $i > $i ).

thf(c_Orderings_Oord__class_Oless_type,type,
    c_Orderings_Oord__class_Oless: $i > $i > $i > $o ).

thf(fact_H_I3_J,axiom,
    c_Orderings_Oord__class_Oless @ tc_RealDef_Oreal @ v_da____ @ ( c_Rings_Oinverse__class_Odivide @ tc_RealDef_Oreal @ v_e @ v_m____ ) ).

thf(zip_derived_cl2,plain,
    c_Orderings_Oord__class_Oless @ tc_RealDef_Oreal @ v_da____ @ ( c_Rings_Oinverse__class_Odivide @ tc_RealDef_Oreal @ v_e @ v_m____ ),
    inference(cnf,[status(esa)],[fact_H_I3_J]) ).

thf(fact_pos__less__divide__eq,axiom,
    ! [V_b_2: $i,V_a_2: $i,V_ca_2: $i,T_a: $i] :
      ( ( class_Fields_Olinordered__field @ T_a )
     => ( ( c_Orderings_Oord__class_Oless @ T_a @ ( c_Groups_Ozero__class_Ozero @ T_a ) @ V_ca_2 )
       => ( ( c_Orderings_Oord__class_Oless @ T_a @ V_a_2 @ ( c_Rings_Oinverse__class_Odivide @ T_a @ V_b_2 @ V_ca_2 ) )
        <=> ( c_Orderings_Oord__class_Oless @ T_a @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ T_a @ V_a_2 ) @ V_ca_2 ) @ V_b_2 ) ) ) ) ).

thf(zip_derived_cl56,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( c_Orderings_Oord__class_Oless @ X0 @ ( c_Groups_Ozero__class_Ozero @ X0 ) @ X1 )
      | ~ ( c_Orderings_Oord__class_Oless @ X0 @ X2 @ ( c_Rings_Oinverse__class_Odivide @ X0 @ X3 @ X1 ) )
      | ( c_Orderings_Oord__class_Oless @ X0 @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ X0 @ X2 ) @ X1 ) @ X3 )
      | ~ ( class_Fields_Olinordered__field @ X0 ) ),
    inference(cnf,[status(esa)],[fact_pos__less__divide__eq]) ).

thf(zip_derived_cl2829,plain,
    ( ~ ( c_Orderings_Oord__class_Oless @ tc_RealDef_Oreal @ ( c_Groups_Ozero__class_Ozero @ tc_RealDef_Oreal ) @ v_m____ )
    | ( c_Orderings_Oord__class_Oless @ tc_RealDef_Oreal @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ tc_RealDef_Oreal @ v_da____ ) @ v_m____ ) @ v_e )
    | ~ ( class_Fields_Olinordered__field @ tc_RealDef_Oreal ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl56]) ).

thf(fact_m_I1_J,axiom,
    c_Orderings_Oord__class_Oless @ tc_RealDef_Oreal @ ( c_Groups_Ozero__class_Ozero @ tc_RealDef_Oreal ) @ v_m____ ).

thf(zip_derived_cl1,plain,
    c_Orderings_Oord__class_Oless @ tc_RealDef_Oreal @ ( c_Groups_Ozero__class_Ozero @ tc_RealDef_Oreal ) @ v_m____,
    inference(cnf,[status(esa)],[fact_m_I1_J]) ).

thf(fact_real__mult__commute,axiom,
    ! [V_w: $i,V_z: $i] :
      ( ( hAPP @ ( c_Groups_Otimes__class_Otimes @ tc_RealDef_Oreal @ V_z ) @ V_w )
      = ( hAPP @ ( c_Groups_Otimes__class_Otimes @ tc_RealDef_Oreal @ V_w ) @ V_z ) ) ).

thf(zip_derived_cl10,plain,
    ! [X0: $i,X1: $i] :
      ( ( hAPP @ ( c_Groups_Otimes__class_Otimes @ tc_RealDef_Oreal @ X1 ) @ X0 )
      = ( hAPP @ ( c_Groups_Otimes__class_Otimes @ tc_RealDef_Oreal @ X0 ) @ X1 ) ),
    inference(cnf,[status(esa)],[fact_real__mult__commute]) ).

thf(conj_0,conjecture,
    c_Orderings_Oord__class_Oless @ tc_RealDef_Oreal @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ tc_RealDef_Oreal @ v_da____ ) @ v_m____ ) @ v_e ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( c_Orderings_Oord__class_Oless @ tc_RealDef_Oreal @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ tc_RealDef_Oreal @ v_da____ ) @ v_m____ ) @ v_e ),
    inference('cnf.neg',[status(esa)],[conj_0]) ).

thf(zip_derived_cl1833,plain,
    ~ ( c_Orderings_Oord__class_Oless @ tc_RealDef_Oreal @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ tc_RealDef_Oreal @ v_da____ ) @ v_m____ ) @ v_e ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl10_001,plain,
    ! [X0: $i,X1: $i] :
      ( ( hAPP @ ( c_Groups_Otimes__class_Otimes @ tc_RealDef_Oreal @ X1 ) @ X0 )
      = ( hAPP @ ( c_Groups_Otimes__class_Otimes @ tc_RealDef_Oreal @ X0 ) @ X1 ) ),
    inference(cnf,[status(esa)],[fact_real__mult__commute]) ).

thf(zip_derived_cl1856,plain,
    ~ ( c_Orderings_Oord__class_Oless @ tc_RealDef_Oreal @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ tc_RealDef_Oreal @ v_m____ ) @ v_da____ ) @ v_e ),
    inference(demod,[status(thm)],[zip_derived_cl1833,zip_derived_cl10]) ).

thf(arity_RealDef__Oreal__Fields_Olinordered__field,axiom,
    class_Fields_Olinordered__field @ tc_RealDef_Oreal ).

thf(zip_derived_cl1717,plain,
    class_Fields_Olinordered__field @ tc_RealDef_Oreal,
    inference(cnf,[status(esa)],[arity_RealDef__Oreal__Fields_Olinordered__field]) ).

thf(zip_derived_cl2836,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl2829,zip_derived_cl1,zip_derived_cl10,zip_derived_cl1856,zip_derived_cl1717]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SWW216+1 : TPTP v9.2.0. Released v5.2.0.
% 0.11/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.7s6COaNH7H true
% 0.13/0.34  % Computer : n027.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 12:01:38 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
% 0.13/0.34  % Python version: Python 3.6.8
% 0.13/0.34  % Running in FO mode
% 0.55/0.65  % Total configuration time : 435
% 0.55/0.65  % Estimated wc time : 1092
% 0.55/0.65  % Estimated cpu time (7 cpus) : 156.0
% 0.56/0.72  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.56/0.73  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.56/0.75  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.57/0.79  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.57/0.79  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.57/0.79  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.57/0.82  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 7.28/1.63  % Solved by fo/fo1_av.sh.
% 7.28/1.63  % done 599 iterations in 0.849s
% 7.28/1.63  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 7.28/1.63  % SZS output start Refutation
% See solution above
% 7.28/1.63  
% 7.28/1.63  
% 7.28/1.63  % Terminating...
% 7.28/1.71  % Runner terminated.
% 7.28/1.72  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------