TSTP Solution File: SWW287+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWW287+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.TNpbXoVyvh true

% Computer : n032.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 01:41:26 EDT 2023

% Result   : Theorem 4.09s 1.02s
% Output   : Refutation 4.09s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   22
% Syntax   : Number of formulae    :   58 (  19 unt;  16 typ;   0 def)
%            Number of atoms       :   85 (  62 equ;   0 cnn)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :  632 (  30   ~;  32   |;   2   &; 559   @)
%                                         (   2 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   12 (  12   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   18 (  16 usr;   8 con; 0-2 aty)
%            Number of variables   :   13 (   0   ^;  13   !;   0   ?;  13   :)

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

thf(sk__19_type,type,
    sk__19: $i ).

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

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

thf(hBOOL_type,type,
    hBOOL: $i > $o ).

thf(c_Power_Opower__class_Opower_type,type,
    c_Power_Opower__class_Opower: $i > $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(v_n_____type,type,
    v_n____: $i ).

thf(c_Nat_OSuc_type,type,
    c_Nat_OSuc: $i > $i ).

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

thf(c_Rings_Odvd__class_Odvd_type,type,
    c_Rings_Odvd__class_Odvd: $i > $i ).

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

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,conjecture,
    ( ! [B_x: $i] :
        ( ( ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_p ) @ B_x )
          = ( c_Groups_Ozero__class_Ozero @ tc_Complex_Ocomplex ) )
       => ( ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_q ) @ B_x )
          = ( c_Groups_Ozero__class_Ozero @ tc_Complex_Ocomplex ) ) )
  <=> ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Rings_Odvd__class_Odvd @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) @ v_p ) @ ( hAPP @ ( hAPP @ ( c_Power_Opower__class_Opower @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) @ v_q ) @ ( c_Polynomial_Odegree @ tc_Complex_Ocomplex @ v_p ) ) ) )
      | ( ( v_p
          = ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) )
        & ( v_q
          = ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ! [B_x: $i] :
          ( ( ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_p ) @ B_x )
            = ( c_Groups_Ozero__class_Ozero @ tc_Complex_Ocomplex ) )
         => ( ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_q ) @ B_x )
            = ( c_Groups_Ozero__class_Ozero @ tc_Complex_Ocomplex ) ) )
    <=> ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Rings_Odvd__class_Odvd @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) @ v_p ) @ ( hAPP @ ( hAPP @ ( c_Power_Opower__class_Opower @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) @ v_q ) @ ( c_Polynomial_Odegree @ tc_Complex_Ocomplex @ v_p ) ) ) )
        | ( ( v_p
            = ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) )
          & ( v_q
            = ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[conj_0]) ).

thf(zip_derived_cl1679,plain,
    ( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Rings_Odvd__class_Odvd @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) @ v_p ) @ ( hAPP @ ( hAPP @ ( c_Power_Opower__class_Opower @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) @ v_q ) @ ( c_Polynomial_Odegree @ tc_Complex_Ocomplex @ v_p ) ) ) )
    | ( ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_p ) @ sk__19 )
      = ( c_Groups_Ozero__class_Ozero @ tc_Complex_Ocomplex ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(fact_n,axiom,
    ( ( c_Polynomial_Odegree @ tc_Complex_Ocomplex @ v_p )
    = ( c_Nat_OSuc @ v_n____ ) ) ).

thf(zip_derived_cl3,plain,
    ( ( c_Polynomial_Odegree @ tc_Complex_Ocomplex @ v_p )
    = ( c_Nat_OSuc @ v_n____ ) ),
    inference(cnf,[status(esa)],[fact_n]) ).

thf(zip_derived_cl6803,plain,
    ( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Rings_Odvd__class_Odvd @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) @ v_p ) @ ( hAPP @ ( hAPP @ ( c_Power_Opower__class_Opower @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) @ v_q ) @ ( c_Nat_OSuc @ v_n____ ) ) ) )
    | ( ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_p ) @ sk__19 )
      = ( c_Groups_Ozero__class_Ozero @ tc_Complex_Ocomplex ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl1679,zip_derived_cl3]) ).

thf(zip_derived_cl1676,plain,
    ! [X0: $i] :
      ( ( v_p
        = ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) )
      | ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Rings_Odvd__class_Odvd @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) @ v_p ) @ ( hAPP @ ( hAPP @ ( c_Power_Opower__class_Opower @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) @ v_q ) @ ( c_Polynomial_Odegree @ tc_Complex_Ocomplex @ v_p ) ) ) )
      | ( ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_p ) @ X0 )
       != ( c_Groups_Ozero__class_Ozero @ tc_Complex_Ocomplex ) )
      | ( ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_q ) @ X0 )
        = ( c_Groups_Ozero__class_Ozero @ tc_Complex_Ocomplex ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3_001,plain,
    ( ( c_Polynomial_Odegree @ tc_Complex_Ocomplex @ v_p )
    = ( c_Nat_OSuc @ v_n____ ) ),
    inference(cnf,[status(esa)],[fact_n]) ).

thf(zip_derived_cl6997,plain,
    ! [X0: $i] :
      ( ( v_p
        = ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) )
      | ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Rings_Odvd__class_Odvd @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) @ v_p ) @ ( hAPP @ ( hAPP @ ( c_Power_Opower__class_Opower @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) @ v_q ) @ ( c_Nat_OSuc @ v_n____ ) ) ) )
      | ( ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_p ) @ X0 )
       != ( c_Groups_Ozero__class_Ozero @ tc_Complex_Ocomplex ) )
      | ( ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_q ) @ X0 )
        = ( c_Groups_Ozero__class_Ozero @ tc_Complex_Ocomplex ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl1676,zip_derived_cl3]) ).

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(zip_derived_cl6998,plain,
    ! [X0: $i] :
      ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Rings_Odvd__class_Odvd @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) @ v_p ) @ ( hAPP @ ( hAPP @ ( c_Power_Opower__class_Opower @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) @ v_q ) @ ( c_Nat_OSuc @ v_n____ ) ) ) )
      | ( ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_p ) @ X0 )
       != ( c_Groups_Ozero__class_Ozero @ tc_Complex_Ocomplex ) )
      | ( ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_q ) @ X0 )
        = ( c_Groups_Ozero__class_Ozero @ tc_Complex_Ocomplex ) ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl6997,zip_derived_cl1]) ).

thf(fact__096_B_Bx_O_A_091_124_Ap_Advd_Aq_A_094_ASuc_An_059_Apoly_Ap_Ax_A_061_A0_059_Apoly_Aq_Ax_A_126_061_A0_A_124_093_A_061_061_062_AFalse_096,axiom,
    ! [V_x_3: $i] :
      ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Rings_Odvd__class_Odvd @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) @ v_p ) @ ( hAPP @ ( hAPP @ ( c_Power_Opower__class_Opower @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) @ v_q ) @ ( c_Nat_OSuc @ v_n____ ) ) ) )
     => ( ( ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_p ) @ V_x_3 )
          = ( c_Groups_Ozero__class_Ozero @ tc_Complex_Ocomplex ) )
       => ( ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_q ) @ V_x_3 )
          = ( c_Groups_Ozero__class_Ozero @ tc_Complex_Ocomplex ) ) ) ) ).

thf(zip_derived_cl10,plain,
    ! [X0: $i] :
      ( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Rings_Odvd__class_Odvd @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) @ v_p ) @ ( hAPP @ ( hAPP @ ( c_Power_Opower__class_Opower @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) @ v_q ) @ ( c_Nat_OSuc @ v_n____ ) ) ) )
      | ( ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_q ) @ X0 )
        = ( c_Groups_Ozero__class_Ozero @ tc_Complex_Ocomplex ) )
      | ( ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_p ) @ X0 )
       != ( c_Groups_Ozero__class_Ozero @ tc_Complex_Ocomplex ) ) ),
    inference(cnf,[status(esa)],[fact__096_B_Bx_O_A_091_124_Ap_Advd_Aq_A_094_ASuc_An_059_Apoly_Ap_Ax_A_061_A0_059_Apoly_Aq_Ax_A_126_061_A0_A_124_093_A_061_061_062_AFalse_096]) ).

thf(zip_derived_cl6999,plain,
    ! [X0: $i] :
      ( ( ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_q ) @ X0 )
        = ( c_Groups_Ozero__class_Ozero @ tc_Complex_Ocomplex ) )
      | ( ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_p ) @ X0 )
       != ( c_Groups_Ozero__class_Ozero @ tc_Complex_Ocomplex ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl6998,zip_derived_cl10]) ).

thf(fact__096_091_124_AALL_Ax_O_Apoly_Ap_Ax_A_061_A0_A_N_N_062_Apoly_Aq_Ax_A_061_A0_059_Adegree_Ap_A_061_Adegree_Ap_059_Adegree_Ap_A_126_061_A0_A_124_093_061_061_062_Ap_Advd_Aq_A_094_Adegree_Ap_096,axiom,
    ( ! [B_x: $i] :
        ( ( ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_p ) @ B_x )
          = ( c_Groups_Ozero__class_Ozero @ tc_Complex_Ocomplex ) )
       => ( ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_q ) @ B_x )
          = ( c_Groups_Ozero__class_Ozero @ tc_Complex_Ocomplex ) ) )
   => ( ( ( c_Polynomial_Odegree @ tc_Complex_Ocomplex @ v_p )
       != ( c_Groups_Ozero__class_Ozero @ tc_Nat_Onat ) )
     => ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Rings_Odvd__class_Odvd @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) @ v_p ) @ ( hAPP @ ( hAPP @ ( c_Power_Opower__class_Opower @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) @ v_q ) @ ( c_Polynomial_Odegree @ tc_Complex_Ocomplex @ v_p ) ) ) ) ) ) ).

thf(zip_derived_cl12,plain,
    ( ( ( c_Polynomial_Odegree @ tc_Complex_Ocomplex @ v_p )
      = ( c_Groups_Ozero__class_Ozero @ tc_Nat_Onat ) )
    | ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Rings_Odvd__class_Odvd @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) @ v_p ) @ ( hAPP @ ( hAPP @ ( c_Power_Opower__class_Opower @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) @ v_q ) @ ( c_Polynomial_Odegree @ tc_Complex_Ocomplex @ v_p ) ) ) )
    | ( ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_q ) @ sk__2 )
     != ( c_Groups_Ozero__class_Ozero @ tc_Complex_Ocomplex ) ) ),
    inference(cnf,[status(esa)],[fact__096_091_124_AALL_Ax_O_Apoly_Ap_Ax_A_061_A0_A_N_N_062_Apoly_Aq_Ax_A_061_A0_059_Adegree_Ap_A_061_Adegree_Ap_059_Adegree_Ap_A_126_061_A0_A_124_093_061_061_062_Ap_Advd_Aq_A_094_Adegree_Ap_096]) ).

thf(zip_derived_cl3_002,plain,
    ( ( c_Polynomial_Odegree @ tc_Complex_Ocomplex @ v_p )
    = ( c_Nat_OSuc @ v_n____ ) ),
    inference(cnf,[status(esa)],[fact_n]) ).

thf(zip_derived_cl3_003,plain,
    ( ( c_Polynomial_Odegree @ tc_Complex_Ocomplex @ v_p )
    = ( c_Nat_OSuc @ v_n____ ) ),
    inference(cnf,[status(esa)],[fact_n]) ).

thf(zip_derived_cl6754,plain,
    ( ( ( c_Nat_OSuc @ v_n____ )
      = ( c_Groups_Ozero__class_Ozero @ tc_Nat_Onat ) )
    | ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Rings_Odvd__class_Odvd @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) @ v_p ) @ ( hAPP @ ( hAPP @ ( c_Power_Opower__class_Opower @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) @ v_q ) @ ( c_Nat_OSuc @ v_n____ ) ) ) )
    | ( ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_q ) @ sk__2 )
     != ( c_Groups_Ozero__class_Ozero @ tc_Complex_Ocomplex ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl12,zip_derived_cl3,zip_derived_cl3]) ).

thf(fact_Zero__not__Suc,axiom,
    ! [V_m: $i] :
      ( ( c_Groups_Ozero__class_Ozero @ tc_Nat_Onat )
     != ( c_Nat_OSuc @ V_m ) ) ).

thf(zip_derived_cl49,plain,
    ! [X0: $i] :
      ( ( c_Groups_Ozero__class_Ozero @ tc_Nat_Onat )
     != ( c_Nat_OSuc @ X0 ) ),
    inference(cnf,[status(esa)],[fact_Zero__not__Suc]) ).

thf(zip_derived_cl6755,plain,
    ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Rings_Odvd__class_Odvd @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) @ v_p ) @ ( hAPP @ ( hAPP @ ( c_Power_Opower__class_Opower @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) @ v_q ) @ ( c_Nat_OSuc @ v_n____ ) ) ) )
    | ( ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_q ) @ sk__2 )
     != ( c_Groups_Ozero__class_Ozero @ tc_Complex_Ocomplex ) ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl6754,zip_derived_cl49]) ).

thf(zip_derived_cl7006,plain,
    ( ( ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_p ) @ sk__2 )
     != ( c_Groups_Ozero__class_Ozero @ tc_Complex_Ocomplex ) )
    | ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Rings_Odvd__class_Odvd @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) @ v_p ) @ ( hAPP @ ( hAPP @ ( c_Power_Opower__class_Opower @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) @ v_q ) @ ( c_Nat_OSuc @ v_n____ ) ) ) )
    | ( ( c_Groups_Ozero__class_Ozero @ tc_Complex_Ocomplex )
     != ( c_Groups_Ozero__class_Ozero @ tc_Complex_Ocomplex ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl6999,zip_derived_cl6755]) ).

thf(zip_derived_cl7011,plain,
    ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Rings_Odvd__class_Odvd @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) @ v_p ) @ ( hAPP @ ( hAPP @ ( c_Power_Opower__class_Opower @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) @ v_q ) @ ( c_Nat_OSuc @ v_n____ ) ) ) )
    | ( ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_p ) @ sk__2 )
     != ( c_Groups_Ozero__class_Ozero @ tc_Complex_Ocomplex ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl7006]) ).

thf(zip_derived_cl11,plain,
    ( ( ( c_Polynomial_Odegree @ tc_Complex_Ocomplex @ v_p )
      = ( c_Groups_Ozero__class_Ozero @ tc_Nat_Onat ) )
    | ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Rings_Odvd__class_Odvd @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) @ v_p ) @ ( hAPP @ ( hAPP @ ( c_Power_Opower__class_Opower @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) @ v_q ) @ ( c_Polynomial_Odegree @ tc_Complex_Ocomplex @ v_p ) ) ) )
    | ( ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_p ) @ sk__2 )
      = ( c_Groups_Ozero__class_Ozero @ tc_Complex_Ocomplex ) ) ),
    inference(cnf,[status(esa)],[fact__096_091_124_AALL_Ax_O_Apoly_Ap_Ax_A_061_A0_A_N_N_062_Apoly_Aq_Ax_A_061_A0_059_Adegree_Ap_A_061_Adegree_Ap_059_Adegree_Ap_A_126_061_A0_A_124_093_061_061_062_Ap_Advd_Aq_A_094_Adegree_Ap_096]) ).

thf(zip_derived_cl3_004,plain,
    ( ( c_Polynomial_Odegree @ tc_Complex_Ocomplex @ v_p )
    = ( c_Nat_OSuc @ v_n____ ) ),
    inference(cnf,[status(esa)],[fact_n]) ).

thf(zip_derived_cl3_005,plain,
    ( ( c_Polynomial_Odegree @ tc_Complex_Ocomplex @ v_p )
    = ( c_Nat_OSuc @ v_n____ ) ),
    inference(cnf,[status(esa)],[fact_n]) ).

thf(zip_derived_cl6749,plain,
    ( ( ( c_Nat_OSuc @ v_n____ )
      = ( c_Groups_Ozero__class_Ozero @ tc_Nat_Onat ) )
    | ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Rings_Odvd__class_Odvd @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) @ v_p ) @ ( hAPP @ ( hAPP @ ( c_Power_Opower__class_Opower @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) @ v_q ) @ ( c_Nat_OSuc @ v_n____ ) ) ) )
    | ( ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_p ) @ sk__2 )
      = ( c_Groups_Ozero__class_Ozero @ tc_Complex_Ocomplex ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl11,zip_derived_cl3,zip_derived_cl3]) ).

thf(zip_derived_cl49_006,plain,
    ! [X0: $i] :
      ( ( c_Groups_Ozero__class_Ozero @ tc_Nat_Onat )
     != ( c_Nat_OSuc @ X0 ) ),
    inference(cnf,[status(esa)],[fact_Zero__not__Suc]) ).

thf(zip_derived_cl6750,plain,
    ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Rings_Odvd__class_Odvd @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) @ v_p ) @ ( hAPP @ ( hAPP @ ( c_Power_Opower__class_Opower @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) @ v_q ) @ ( c_Nat_OSuc @ v_n____ ) ) ) )
    | ( ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_p ) @ sk__2 )
      = ( c_Groups_Ozero__class_Ozero @ tc_Complex_Ocomplex ) ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl6749,zip_derived_cl49]) ).

thf(zip_derived_cl7015,plain,
    hBOOL @ ( hAPP @ ( hAPP @ ( c_Rings_Odvd__class_Odvd @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) @ v_p ) @ ( hAPP @ ( hAPP @ ( c_Power_Opower__class_Opower @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) @ v_q ) @ ( c_Nat_OSuc @ v_n____ ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl7011,zip_derived_cl6750]) ).

thf(zip_derived_cl7017,plain,
    ( ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_p ) @ sk__19 )
    = ( c_Groups_Ozero__class_Ozero @ tc_Complex_Ocomplex ) ),
    inference(demod,[status(thm)],[zip_derived_cl6803,zip_derived_cl7015]) ).

thf(zip_derived_cl6999_007,plain,
    ! [X0: $i] :
      ( ( ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_q ) @ X0 )
        = ( c_Groups_Ozero__class_Ozero @ tc_Complex_Ocomplex ) )
      | ( ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_p ) @ X0 )
       != ( c_Groups_Ozero__class_Ozero @ tc_Complex_Ocomplex ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl6998,zip_derived_cl10]) ).

thf(zip_derived_cl1678,plain,
    ( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Rings_Odvd__class_Odvd @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) @ v_p ) @ ( hAPP @ ( hAPP @ ( c_Power_Opower__class_Opower @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) @ v_q ) @ ( c_Polynomial_Odegree @ tc_Complex_Ocomplex @ v_p ) ) ) )
    | ( ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_q ) @ sk__19 )
     != ( c_Groups_Ozero__class_Ozero @ tc_Complex_Ocomplex ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3_008,plain,
    ( ( c_Polynomial_Odegree @ tc_Complex_Ocomplex @ v_p )
    = ( c_Nat_OSuc @ v_n____ ) ),
    inference(cnf,[status(esa)],[fact_n]) ).

thf(zip_derived_cl6788,plain,
    ( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Rings_Odvd__class_Odvd @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) @ v_p ) @ ( hAPP @ ( hAPP @ ( c_Power_Opower__class_Opower @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) @ v_q ) @ ( c_Nat_OSuc @ v_n____ ) ) ) )
    | ( ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_q ) @ sk__19 )
     != ( c_Groups_Ozero__class_Ozero @ tc_Complex_Ocomplex ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl1678,zip_derived_cl3]) ).

thf(zip_derived_cl7015_009,plain,
    hBOOL @ ( hAPP @ ( hAPP @ ( c_Rings_Odvd__class_Odvd @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) @ v_p ) @ ( hAPP @ ( hAPP @ ( c_Power_Opower__class_Opower @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) @ v_q ) @ ( c_Nat_OSuc @ v_n____ ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl7011,zip_derived_cl6750]) ).

thf(zip_derived_cl7016,plain,
    ( ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_q ) @ sk__19 )
   != ( c_Groups_Ozero__class_Ozero @ tc_Complex_Ocomplex ) ),
    inference(demod,[status(thm)],[zip_derived_cl6788,zip_derived_cl7015]) ).

thf(zip_derived_cl7019,plain,
    ( ( ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_p ) @ sk__19 )
     != ( c_Groups_Ozero__class_Ozero @ tc_Complex_Ocomplex ) )
    | ( ( c_Groups_Ozero__class_Ozero @ tc_Complex_Ocomplex )
     != ( c_Groups_Ozero__class_Ozero @ tc_Complex_Ocomplex ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl6999,zip_derived_cl7016]) ).

thf(zip_derived_cl7020,plain,
    ( ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_p ) @ sk__19 )
   != ( c_Groups_Ozero__class_Ozero @ tc_Complex_Ocomplex ) ),
    inference(simplify,[status(thm)],[zip_derived_cl7019]) ).

thf(zip_derived_cl7023,plain,
    $false,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl7017,zip_derived_cl7020]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08  % Problem  : SWW287+1 : TPTP v8.1.2. Released v5.2.0.
% 0.00/0.09  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.TNpbXoVyvh true
% 0.09/0.28  % Computer : n032.cluster.edu
% 0.09/0.28  % Model    : x86_64 x86_64
% 0.09/0.28  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.28  % Memory   : 8042.1875MB
% 0.09/0.28  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.28  % CPULimit : 300
% 0.09/0.28  % WCLimit  : 300
% 0.09/0.28  % DateTime : Sun Aug 27 21:45:30 EDT 2023
% 0.09/0.28  % CPUTime  : 
% 0.09/0.28  % Running portfolio for 300 s
% 0.09/0.28  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.28  % Number of cores: 8
% 0.09/0.28  % Python version: Python 3.6.8
% 0.09/0.28  % Running in FO mode
% 0.12/0.47  % Total configuration time : 435
% 0.12/0.47  % Estimated wc time : 1092
% 0.12/0.47  % Estimated cpu time (7 cpus) : 156.0
% 0.12/0.53  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.12/0.53  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.12/0.53  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.12/0.53  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.12/0.53  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.12/0.55  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.12/0.55  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 4.09/1.02  % Solved by fo/fo6_bce.sh.
% 4.09/1.02  % BCE start: 1682
% 4.09/1.02  % BCE eliminated: 117
% 4.09/1.02  % PE start: 1565
% 4.09/1.02  logic: eq
% 4.09/1.02  % PE eliminated: 61
% 4.09/1.02  % done 294 iterations in 0.472s
% 4.09/1.02  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 4.09/1.02  % SZS output start Refutation
% See solution above
% 4.09/1.02  
% 4.09/1.02  
% 4.09/1.02  % Terminating...
% 4.09/1.07  % Runner terminated.
% 4.09/1.08  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------