TSTP Solution File: SWW284+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWW284+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.7X46fCYJjd true

% Computer : n016.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 01:41:25 EDT 2023

% Result   : Theorem 4.88s 1.35s
% Output   : Refutation 4.88s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   20
% Syntax   : Number of formulae    :   45 (  21 unt;  11 typ;   0 def)
%            Number of atoms       :   53 (  37 equ;   0 cnn)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :  170 (  17   ~;  14   |;   1   &; 134   @)
%                                         (   1 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   11 (  11   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   13 (  11 usr;   4 con; 0-2 aty)
%            Number of variables   :   20 (   0   ^;  20   !;   0   ?;  20   :)

% Comments : 
%------------------------------------------------------------------------------
thf(sk__type,type,
    sk_: $i > $i > $i ).

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

thf(v_q_type,type,
    v_q: $i ).

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

thf(tc_Complex_Ocomplex_type,type,
    tc_Complex_Ocomplex: $i ).

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

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

thf(class_Rings_Ocomm__semiring__0_type,type,
    class_Rings_Ocomm__semiring__0: $i > $o ).

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

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

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

thf(conj_0,axiom,
    ! [B_x: $i] :
      ( ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_q ) @ B_x )
      = ( c_Groups_Ozero__class_Ozero @ tc_Complex_Ocomplex ) ) ).

thf(zip_derived_cl1604,plain,
    ! [X0: $i] :
      ( ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_q ) @ X0 )
      = ( c_Groups_Ozero__class_Ozero @ tc_Complex_Ocomplex ) ),
    inference(cnf,[status(esa)],[conj_0]) ).

thf(fact_pe,axiom,
    ( v_p
    = ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) ) ).

thf(zip_derived_cl1,plain,
    ( v_p
    = ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) ),
    inference(cnf,[status(esa)],[fact_pe]) ).

thf(fact_poly__0,axiom,
    ! [V_x: $i,T_a: $i] :
      ( ( class_Rings_Ocomm__semiring__0 @ T_a )
     => ( ( hAPP @ ( c_Polynomial_Opoly @ T_a @ ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ T_a ) ) ) @ V_x )
        = ( c_Groups_Ozero__class_Ozero @ T_a ) ) ) ).

thf(zip_derived_cl2,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( hAPP @ ( c_Polynomial_Opoly @ X0 @ ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ X0 ) ) ) @ X1 )
        = ( c_Groups_Ozero__class_Ozero @ X0 ) )
      | ~ ( class_Rings_Ocomm__semiring__0 @ X0 ) ),
    inference(cnf,[status(esa)],[fact_poly__0]) ).

thf(zip_derived_cl1610,plain,
    ! [X0: $i] :
      ( ( ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_p ) @ X0 )
        = ( c_Groups_Ozero__class_Ozero @ tc_Complex_Ocomplex ) )
      | ~ ( class_Rings_Ocomm__semiring__0 @ tc_Complex_Ocomplex ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1,zip_derived_cl2]) ).

thf(arity_Complex__Ocomplex__Rings_Ocomm__semiring__0,axiom,
    class_Rings_Ocomm__semiring__0 @ tc_Complex_Ocomplex ).

thf(zip_derived_cl1526,plain,
    class_Rings_Ocomm__semiring__0 @ tc_Complex_Ocomplex,
    inference(cnf,[status(esa)],[arity_Complex__Ocomplex__Rings_Ocomm__semiring__0]) ).

thf(zip_derived_cl1611,plain,
    ! [X0: $i] :
      ( ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_p ) @ X0 )
      = ( c_Groups_Ozero__class_Ozero @ tc_Complex_Ocomplex ) ),
    inference(demod,[status(thm)],[zip_derived_cl1610,zip_derived_cl1526]) ).

thf(fact_ext,axiom,
    ! [V_g_2: $i,V_f_2: $i] :
      ( ! [B_x: $i] :
          ( ( hAPP @ V_f_2 @ B_x )
          = ( hAPP @ V_g_2 @ B_x ) )
     => ( V_f_2 = V_g_2 ) ) ).

thf(zip_derived_cl0,plain,
    ! [X0: $i,X1: $i] :
      ( ( X1 = X0 )
      | ( ( hAPP @ X1 @ ( sk_ @ X1 @ X0 ) )
       != ( hAPP @ X0 @ ( sk_ @ X1 @ X0 ) ) ) ),
    inference(cnf,[status(esa)],[fact_ext]) ).

thf(zip_derived_cl1612,plain,
    ! [X0: $i] :
      ( ( ( hAPP @ X0 @ ( sk_ @ X0 @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_p ) ) )
       != ( c_Groups_Ozero__class_Ozero @ tc_Complex_Ocomplex ) )
      | ( X0
        = ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_p ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1611,zip_derived_cl0]) ).

thf(zip_derived_cl1947,plain,
    ( ( ( c_Groups_Ozero__class_Ozero @ tc_Complex_Ocomplex )
     != ( c_Groups_Ozero__class_Ozero @ tc_Complex_Ocomplex ) )
    | ( ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_q )
      = ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_p ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1604,zip_derived_cl1612]) ).

thf(zip_derived_cl1949,plain,
    ( ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_q )
    = ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_p ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1947]) ).

thf(zip_derived_cl1_001,plain,
    ( v_p
    = ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) ),
    inference(cnf,[status(esa)],[fact_pe]) ).

thf(fact_poly__zero,axiom,
    ! [V_pa_2: $i,T_a: $i] :
      ( ( ( class_Int_Oring__char__0 @ T_a )
        & ( class_Rings_Oidom @ T_a ) )
     => ( ( ( c_Polynomial_Opoly @ T_a @ V_pa_2 )
          = ( c_Polynomial_Opoly @ T_a @ ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ T_a ) ) ) )
      <=> ( V_pa_2
          = ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ T_a ) ) ) ) ) ).

thf(zip_derived_cl4,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( c_Polynomial_Opoly @ X0 @ X1 )
       != ( c_Polynomial_Opoly @ X0 @ ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ X0 ) ) ) )
      | ( X1
        = ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ X0 ) ) )
      | ~ ( class_Rings_Oidom @ X0 )
      | ~ ( class_Int_Oring__char__0 @ X0 ) ),
    inference(cnf,[status(esa)],[fact_poly__zero]) ).

thf(zip_derived_cl1631,plain,
    ! [X0: $i] :
      ( ( ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ X0 )
       != ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_p ) )
      | ~ ( class_Int_Oring__char__0 @ tc_Complex_Ocomplex )
      | ~ ( class_Rings_Oidom @ tc_Complex_Ocomplex )
      | ( X0
        = ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl4]) ).

thf(arity_Complex__Ocomplex__Int_Oring__char__0,axiom,
    class_Int_Oring__char__0 @ tc_Complex_Ocomplex ).

thf(zip_derived_cl1539,plain,
    class_Int_Oring__char__0 @ tc_Complex_Ocomplex,
    inference(cnf,[status(esa)],[arity_Complex__Ocomplex__Int_Oring__char__0]) ).

thf(arity_Complex__Ocomplex__Rings_Oidom,axiom,
    class_Rings_Oidom @ tc_Complex_Ocomplex ).

thf(zip_derived_cl1546,plain,
    class_Rings_Oidom @ tc_Complex_Ocomplex,
    inference(cnf,[status(esa)],[arity_Complex__Ocomplex__Rings_Oidom]) ).

thf(zip_derived_cl1633,plain,
    ! [X0: $i] :
      ( ( ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ X0 )
       != ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_p ) )
      | ( X0
        = ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl1631,zip_derived_cl1539,zip_derived_cl1546]) ).

thf(zip_derived_cl1955,plain,
    ( ( ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_p )
     != ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_p ) )
    | ( v_q
      = ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1949,zip_derived_cl1633]) ).

thf(zip_derived_cl1_002,plain,
    ( v_p
    = ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) ),
    inference(cnf,[status(esa)],[fact_pe]) ).

thf(zip_derived_cl1959,plain,
    ( ( ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_p )
     != ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_p ) )
    | ( v_q = v_p ) ),
    inference(demod,[status(thm)],[zip_derived_cl1955,zip_derived_cl1]) ).

thf(zip_derived_cl1960,plain,
    v_q = v_p,
    inference(simplify,[status(thm)],[zip_derived_cl1959]) ).

thf(conj_1,conjecture,
    ( v_q
    = ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ( v_q
   != ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) ),
    inference('cnf.neg',[status(esa)],[conj_1]) ).

thf(zip_derived_cl1605,plain,
    ( v_q
   != ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1_003,plain,
    ( v_p
    = ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) ),
    inference(cnf,[status(esa)],[fact_pe]) ).

thf(zip_derived_cl1607,plain,
    v_q != v_p,
    inference(demod,[status(thm)],[zip_derived_cl1605,zip_derived_cl1]) ).

thf(zip_derived_cl1961,plain,
    $false,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl1960,zip_derived_cl1607]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SWW284+1 : TPTP v8.1.2. Released v5.2.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.7X46fCYJjd true
% 0.17/0.35  % Computer : n016.cluster.edu
% 0.17/0.35  % Model    : x86_64 x86_64
% 0.17/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.35  % Memory   : 8042.1875MB
% 0.17/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.35  % CPULimit : 300
% 0.17/0.35  % WCLimit  : 300
% 0.17/0.35  % DateTime : Sun Aug 27 18:35:13 EDT 2023
% 0.19/0.35  % CPUTime  : 
% 0.19/0.35  % Running portfolio for 300 s
% 0.19/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.35  % Number of cores: 8
% 0.19/0.35  % Python version: Python 3.6.8
% 0.19/0.35  % Running in FO mode
% 0.20/0.65  % Total configuration time : 435
% 0.20/0.65  % Estimated wc time : 1092
% 0.20/0.65  % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.71  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.73  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.74  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.75  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.76  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.77  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.20/0.82  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 2.45/1.01  % /export/starexec/sandbox/solver/bin/fo/fo1_lcnf.sh running for 50s
% 4.88/1.35  % Solved by fo/fo5.sh.
% 4.88/1.35  % done 349 iterations in 0.551s
% 4.88/1.35  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 4.88/1.35  % SZS output start Refutation
% See solution above
% 4.88/1.35  
% 4.88/1.35  
% 4.88/1.35  % Terminating...
% 5.13/1.48  % Runner terminated.
% 5.13/1.50  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------