TSTP Solution File: SWW246+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWW246+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.nhzu4ZpzK8 true

% Computer : n031.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 : Fri Sep  1 01:41:18 EDT 2023

% Result   : Theorem 9.15s 1.97s
% Output   : Refutation 9.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   30 (   7 unt;  11 typ;   0 def)
%            Number of atoms       :   37 (  20 equ;   0 cnn)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :  208 (  23   ~;  14   |;   0   &; 167   @)
%                                         (   2 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   15 (  15   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   13 (  11 usr;   3 con; 0-3 aty)
%            Number of variables   :   17 (   0   ^;  17   !;   0   ?;  17   :)

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

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

thf(sk__2_type,type,
    sk__2: $i > $i ).

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

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

thf(c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant_type,type,
    c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant: $i > $i > $i > $o ).

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

thf(c_Polynomial_Oorder_type,type,
    c_Polynomial_Oorder: $i > $i > $i > $i ).

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

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

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

thf(fact_order__root,axiom,
    ! [V_a_2: $i,V_pa_2: $i,T_b: $i] :
      ( ( class_Rings_Oidom @ T_b )
     => ( ( ( hAPP @ ( c_Polynomial_Opoly @ T_b @ V_pa_2 ) @ V_a_2 )
          = ( c_Groups_Ozero__class_Ozero @ T_b ) )
      <=> ( ( V_pa_2
            = ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ T_b ) ) )
          | ( ( c_Polynomial_Oorder @ T_b @ V_a_2 @ V_pa_2 )
           != ( c_Groups_Ozero__class_Ozero @ tc_Nat_Onat ) ) ) ) ) ).

thf(zip_derived_cl87,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X1
       != ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ X0 ) ) )
      | ( ( hAPP @ ( c_Polynomial_Opoly @ X0 @ X1 ) @ X2 )
        = ( c_Groups_Ozero__class_Ozero @ X0 ) )
      | ~ ( class_Rings_Oidom @ X0 ) ),
    inference(cnf,[status(esa)],[fact_order__root]) ).

thf(zip_derived_cl87_001,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X1
       != ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ X0 ) ) )
      | ( ( hAPP @ ( c_Polynomial_Opoly @ X0 @ X1 ) @ X2 )
        = ( c_Groups_Ozero__class_Ozero @ X0 ) )
      | ~ ( class_Rings_Oidom @ X0 ) ),
    inference(cnf,[status(esa)],[fact_order__root]) ).

thf(fact_constant__def,axiom,
    ! [V_f_2: $i,T_c: $i,T_b: $i] :
      ( ( c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant @ T_b @ T_c @ V_f_2 )
    <=> ! [B_x: $i,B_y: $i] :
          ( ( hAPP @ V_f_2 @ B_x )
          = ( hAPP @ V_f_2 @ B_y ) ) ) ).

thf(zip_derived_cl28,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant @ X0 @ X1 @ X2 )
      | ( ( hAPP @ X2 @ ( sk__1 @ X2 ) )
       != ( hAPP @ X2 @ ( sk__2 @ X2 ) ) ) ),
    inference(cnf,[status(esa)],[fact_constant__def]) ).

thf(fact__C0_C,axiom,
    ( ( class_Rings_Oidom @ t_a )
   => ~ ( c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant @ t_a @ t_a @ ( c_Polynomial_Opoly @ t_a @ ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ t_a ) ) ) ) ) ).

thf(zip_derived_cl82,plain,
    ( ~ ( c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant @ t_a @ t_a @ ( c_Polynomial_Opoly @ t_a @ ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ t_a ) ) ) )
    | ~ ( class_Rings_Oidom @ t_a ) ),
    inference(cnf,[status(esa)],[fact__C0_C]) ).

thf(zip_derived_cl4453,plain,
    ( ( ( hAPP @ ( c_Polynomial_Opoly @ t_a @ ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ t_a ) ) ) @ ( sk__1 @ ( c_Polynomial_Opoly @ t_a @ ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ t_a ) ) ) ) )
     != ( hAPP @ ( c_Polynomial_Opoly @ t_a @ ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ t_a ) ) ) @ ( sk__2 @ ( c_Polynomial_Opoly @ t_a @ ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ t_a ) ) ) ) ) )
    | ~ ( class_Rings_Oidom @ t_a ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl28,zip_derived_cl82]) ).

thf(tfree_0,axiom,
    class_Rings_Oidom @ t_a ).

thf(zip_derived_cl1588,plain,
    class_Rings_Oidom @ t_a,
    inference(cnf,[status(esa)],[tfree_0]) ).

thf(zip_derived_cl8389,plain,
    ( ( hAPP @ ( c_Polynomial_Opoly @ t_a @ ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ t_a ) ) ) @ ( sk__1 @ ( c_Polynomial_Opoly @ t_a @ ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ t_a ) ) ) ) )
   != ( hAPP @ ( c_Polynomial_Opoly @ t_a @ ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ t_a ) ) ) @ ( sk__2 @ ( c_Polynomial_Opoly @ t_a @ ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ t_a ) ) ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl4453,zip_derived_cl1588]) ).

thf(zip_derived_cl9165,plain,
    ( ~ ( class_Rings_Oidom @ t_a )
    | ( ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ t_a ) )
     != ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ t_a ) ) )
    | ( ( hAPP @ ( c_Polynomial_Opoly @ t_a @ ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ t_a ) ) ) @ ( sk__1 @ ( c_Polynomial_Opoly @ t_a @ ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ t_a ) ) ) ) )
     != ( c_Groups_Ozero__class_Ozero @ t_a ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl87,zip_derived_cl8389]) ).

thf(zip_derived_cl1588_002,plain,
    class_Rings_Oidom @ t_a,
    inference(cnf,[status(esa)],[tfree_0]) ).

thf(zip_derived_cl9170,plain,
    ( ( ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ t_a ) )
     != ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ t_a ) ) )
    | ( ( hAPP @ ( c_Polynomial_Opoly @ t_a @ ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ t_a ) ) ) @ ( sk__1 @ ( c_Polynomial_Opoly @ t_a @ ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ t_a ) ) ) ) )
     != ( c_Groups_Ozero__class_Ozero @ t_a ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl9165,zip_derived_cl1588]) ).

thf(zip_derived_cl9171,plain,
    ( ( hAPP @ ( c_Polynomial_Opoly @ t_a @ ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ t_a ) ) ) @ ( sk__1 @ ( c_Polynomial_Opoly @ t_a @ ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ t_a ) ) ) ) )
   != ( c_Groups_Ozero__class_Ozero @ t_a ) ),
    inference(simplify,[status(thm)],[zip_derived_cl9170]) ).

thf(zip_derived_cl9173,plain,
    ( ~ ( class_Rings_Oidom @ t_a )
    | ( ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ t_a ) )
     != ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ t_a ) ) )
    | ( ( c_Groups_Ozero__class_Ozero @ t_a )
     != ( c_Groups_Ozero__class_Ozero @ t_a ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl87,zip_derived_cl9171]) ).

thf(zip_derived_cl1588_003,plain,
    class_Rings_Oidom @ t_a,
    inference(cnf,[status(esa)],[tfree_0]) ).

thf(zip_derived_cl9175,plain,
    ( ( ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ t_a ) )
     != ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ t_a ) ) )
    | ( ( c_Groups_Ozero__class_Ozero @ t_a )
     != ( c_Groups_Ozero__class_Ozero @ t_a ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl9173,zip_derived_cl1588]) ).

thf(zip_derived_cl9176,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl9175]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SWW246+1 : TPTP v8.1.2. Released v5.2.0.
% 0.12/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.nhzu4ZpzK8 true
% 0.13/0.35  % Computer : n031.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Sun Aug 27 22:01:54 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  % Running portfolio for 300 s
% 0.13/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35  % Number of cores: 8
% 0.19/0.35  % Python version: Python 3.6.8
% 0.19/0.36  % Running in FO mode
% 0.21/0.62  % Total configuration time : 435
% 0.21/0.62  % Estimated wc time : 1092
% 0.21/0.62  % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.69  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.73  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.73  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.70/0.74  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.70/0.74  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.70/0.74  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.70/0.74  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 9.15/1.97  % Solved by fo/fo6_bce.sh.
% 9.15/1.97  % BCE start: 1589
% 9.15/1.97  % BCE eliminated: 300
% 9.15/1.97  % PE start: 1289
% 9.15/1.97  logic: eq
% 9.15/1.97  % PE eliminated: 39
% 9.15/1.97  % done 356 iterations in 1.249s
% 9.15/1.97  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 9.15/1.97  % SZS output start Refutation
% See solution above
% 9.15/1.97  
% 9.15/1.97  
% 9.15/1.97  % Terminating...
% 9.64/2.04  % Runner terminated.
% 9.64/2.05  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------