%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : SWW291+1 : TPTP v8.2.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n014.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 : Tue May 21 06:42:08 EDT 2024

% Result   : Theorem 155.07s 20.18s
% Output   : CNFRefutation 155.07s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   33
%            Number of leaves      :   51
% Syntax   : Number of formulae    :  241 (  94 unt;   0 def)
%            Number of atoms       :  491 ( 314 equ)
%            Maximal formula atoms :   10 (   2 avg)
%            Number of connectives :  404 ( 154   ~; 171   |;   9   &)
%                                         (  13 <=>;  57  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   3 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :   14 (  12 usr;   1 prp; 0-3 aty)
%            Number of functors    :   20 (  20 usr;   8 con; 0-3 aty)
%            Number of variables   :  417 (  12 sgn 225   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(fact_divide__self,axiom,
    ! [X6,X7] :
      ( class_Rings_Odivision__ring(X7)
     => ( X6 != c_Groups_Ozero__class_Ozero(X7)
       => c_Rings_Oinverse__class_Odivide(X7,X6,X6) = c_Groups_Oone__class_Oone(X7) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_divide__self) ).

fof(fact_nonzero__eq__divide__eq,axiom,
    ! [X14,X12,X16,X7] :
      ( class_Rings_Odivision__ring(X7)
     => ( X16 != c_Groups_Ozero__class_Ozero(X7)
       => ( X12 = c_Rings_Oinverse__class_Odivide(X7,X14,X16)
        <=> hAPP(hAPP(c_Groups_Otimes__class_Otimes(X7),X12),X16) = X14 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_nonzero__eq__divide__eq) ).

fof(fact_a0,axiom,
    v_a != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_a0) ).

fof(fact_divide__1,axiom,
    ! [X6,X7] :
      ( class_Rings_Odivision__ring(X7)
     => c_Rings_Oinverse__class_Odivide(X7,X6,c_Groups_Oone__class_Oone(X7)) = X6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_divide__1) ).

fof(arity_Complex__Ocomplex__Rings_Odivision__ring,axiom,
    class_Rings_Odivision__ring(tc_Complex_Ocomplex),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_Complex__Ocomplex__Rings_Odivision__ring) ).

fof(fact_smult__1__left,axiom,
    ! [X4,X7] :
      ( class_Rings_Ocomm__semiring__1(X7)
     => c_Polynomial_Osmult(X7,c_Groups_Oone__class_Oone(X7),X4) = X4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_smult__1__left) ).

fof(arity_Complex__Ocomplex__Rings_Ocomm__semiring__1,axiom,
    class_Rings_Ocomm__semiring__1(tc_Complex_Ocomplex),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_Complex__Ocomplex__Rings_Ocomm__semiring__1) ).

fof(fact_square__eq__iff,axiom,
    ! [X14,X12,X7] :
      ( class_Rings_Oidom(X7)
     => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X7),X12),X12) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X7),X14),X14)
      <=> ( X12 = X14
          | X12 = c_Groups_Ouminus__class_Ouminus(X7,X14) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_square__eq__iff) ).

fof(fact_comm__ring__1__class_Onormalizing__ring__rules_I1_J,axiom,
    ! [X30,X7] :
      ( class_Rings_Ocomm__ring__1(X7)
     => c_Groups_Ouminus__class_Ouminus(X7,X30) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X7),c_Groups_Ouminus__class_Ouminus(X7,c_Groups_Oone__class_Oone(X7))),X30) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_comm__ring__1__class_Onormalizing__ring__rules_I1_J) ).

fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I12_J,axiom,
    ! [X6,X7] :
      ( class_Rings_Ocomm__semiring__1(X7)
     => hAPP(hAPP(c_Groups_Otimes__class_Otimes(X7),X6),c_Groups_Oone__class_Oone(X7)) = X6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_comm__semiring__1__class_Onormalizing__semiring__rules_I12_J) ).

fof(fact_equation__minus__iff,axiom,
    ! [X14,X12,X7] :
      ( class_Groups_Ogroup__add(X7)
     => ( X12 = c_Groups_Ouminus__class_Ouminus(X7,X14)
      <=> X14 = c_Groups_Ouminus__class_Ouminus(X7,X12) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_equation__minus__iff) ).

fof(fact_smult__pCons,axiom,
    ! [X4,X5,X6,X7] :
      ( class_Rings_Ocomm__semiring__0(X7)
     => c_Polynomial_Osmult(X7,X6,c_Polynomial_OpCons(X7,X5,X4)) = c_Polynomial_OpCons(X7,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X7),X6),X5),c_Polynomial_Osmult(X7,X6,X4)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_smult__pCons) ).

fof(arity_Complex__Ocomplex__Rings_Ocomm__ring__1,axiom,
    class_Rings_Ocomm__ring__1(tc_Complex_Ocomplex),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_Complex__Ocomplex__Rings_Ocomm__ring__1) ).

fof(fact_zero__neq__one,axiom,
    ! [X7] :
      ( class_Rings_Ozero__neq__one(X7)
     => c_Groups_Ozero__class_Ozero(X7) != c_Groups_Oone__class_Oone(X7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_zero__neq__one) ).

fof(fact_mpoly__base__conv_I2_J,axiom,
    ! [X30,X13] : X13 = hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_OpCons(tc_Complex_Ocomplex,X13,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)))),X30),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_mpoly__base__conv_I2_J) ).

fof(arity_Complex__Ocomplex__Rings_Ocomm__semiring__0,axiom,
    class_Rings_Ocomm__semiring__0(tc_Complex_Ocomplex),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_Complex__Ocomplex__Rings_Ocomm__semiring__0) ).

fof(fact_minus__divide__left,axiom,
    ! [X5,X6,X7] :
      ( class_Rings_Odivision__ring(X7)
     => c_Groups_Ouminus__class_Ouminus(X7,c_Rings_Oinverse__class_Odivide(X7,X6,X5)) = c_Rings_Oinverse__class_Odivide(X7,c_Groups_Ouminus__class_Ouminus(X7,X6),X5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_minus__divide__left) ).

fof(fact_minus__divide__right,axiom,
    ! [X5,X6,X7] :
      ( class_Fields_Ofield__inverse__zero(X7)
     => c_Groups_Ouminus__class_Ouminus(X7,c_Rings_Oinverse__class_Odivide(X7,X6,X5)) = c_Rings_Oinverse__class_Odivide(X7,X6,c_Groups_Ouminus__class_Ouminus(X7,X5)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_minus__divide__right) ).

fof(fact_minus__mult__commute,axiom,
    ! [X5,X6,X7] :
      ( class_Rings_Oring(X7)
     => hAPP(hAPP(c_Groups_Otimes__class_Otimes(X7),c_Groups_Ouminus__class_Ouminus(X7,X6)),X5) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X7),X6),c_Groups_Ouminus__class_Ouminus(X7,X5)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_minus__mult__commute) ).

fof(arity_Complex__Ocomplex__Rings_Oidom,axiom,
    class_Rings_Oidom(tc_Complex_Ocomplex),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_Complex__Ocomplex__Rings_Oidom) ).

fof(arity_Complex__Ocomplex__Groups_Ogroup__add,axiom,
    class_Groups_Ogroup__add(tc_Complex_Ocomplex),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_Complex__Ocomplex__Groups_Ogroup__add) ).

fof(arity_Complex__Ocomplex__Fields_Ofield__inverse__zero,axiom,
    class_Fields_Ofield__inverse__zero(tc_Complex_Ocomplex),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_Complex__Ocomplex__Fields_Ofield__inverse__zero) ).

fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I19_J,axiom,
    ! [X19,X20,X22,X7] :
      ( class_Rings_Ocomm__semiring__1(X7)
     => hAPP(hAPP(c_Groups_Otimes__class_Otimes(X7),X22),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X7),X20),X19)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X7),X20),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X7),X22),X19)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_comm__semiring__1__class_Onormalizing__semiring__rules_I19_J) ).

fof(arity_Complex__Ocomplex__Rings_Oring,axiom,
    class_Rings_Oring(tc_Complex_Ocomplex),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_Complex__Ocomplex__Rings_Oring) ).

fof(arity_Complex__Ocomplex__Rings_Ozero__neq__one,axiom,
    class_Rings_Ozero__neq__one(tc_Complex_Ocomplex),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_Complex__Ocomplex__Rings_Ozero__neq__one) ).

fof(fact_frac__eq__eq,axiom,
    ! [X26,X24,X23,X25,X7] :
      ( class_Fields_Ofield(X7)
     => ( X25 != c_Groups_Ozero__class_Ozero(X7)
       => ( X23 != c_Groups_Ozero__class_Ozero(X7)
         => ( c_Rings_Oinverse__class_Odivide(X7,X24,X25) = c_Rings_Oinverse__class_Odivide(X7,X26,X23)
          <=> hAPP(hAPP(c_Groups_Otimes__class_Otimes(X7),X24),X23) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X7),X26),X25) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_frac__eq__eq) ).

fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I7_J,axiom,
    ! [X5,X6,X7] :
      ( class_Rings_Ocomm__semiring__1(X7)
     => hAPP(hAPP(c_Groups_Otimes__class_Otimes(X7),X6),X5) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X7),X5),X6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_comm__semiring__1__class_Onormalizing__semiring__rules_I7_J) ).

fof(fact_times__divide__eq__right,axiom,
    ! [X13,X5,X6,X7] :
      ( class_Rings_Odivision__ring(X7)
     => hAPP(hAPP(c_Groups_Otimes__class_Otimes(X7),X6),c_Rings_Oinverse__class_Odivide(X7,X5,X13)) = c_Rings_Oinverse__class_Odivide(X7,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X7),X6),X5),X13) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_times__divide__eq__right) ).

fof(fact_dvd__triv__right,axiom,
    ! [X5,X6,X7] :
      ( class_Rings_Ocomm__semiring__1(X7)
     => c_Rings_Odvd__class_Odvd(X7,X6,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X7),X5),X6)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_dvd__triv__right) ).

fof(arity_Complex__Ocomplex__Fields_Ofield,axiom,
    class_Fields_Ofield(tc_Complex_Ocomplex),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_Complex__Ocomplex__Fields_Ofield) ).

fof(fact_minus__mult__left,axiom,
    ! [X5,X6,X7] :
      ( class_Rings_Oring(X7)
     => c_Groups_Ouminus__class_Ouminus(X7,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X7),X6),X5)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X7),c_Groups_Ouminus__class_Ouminus(X7,X6)),X5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_minus__mult__left) ).

fof(fact_dvd__minus__iff,axiom,
    ! [X25,X24,X7] :
      ( class_Rings_Ocomm__ring__1(X7)
     => ( c_Rings_Odvd__class_Odvd(X7,X24,c_Groups_Ouminus__class_Ouminus(X7,X25))
      <=> c_Rings_Odvd__class_Odvd(X7,X24,X25) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_dvd__minus__iff) ).

fof(fact_dvd__mult2,axiom,
    ! [X13,X5,X6,X7] :
      ( class_Rings_Ocomm__semiring__1(X7)
     => ( c_Rings_Odvd__class_Odvd(X7,X6,X5)
       => c_Rings_Odvd__class_Odvd(X7,X6,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X7),X5),X13)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_dvd__mult2) ).

fof(fact_dvd__0__left,axiom,
    ! [X6,X7] :
      ( class_Rings_Ocomm__semiring__1(X7)
     => ( c_Rings_Odvd__class_Odvd(X7,c_Groups_Ozero__class_Ozero(X7),X6)
       => X6 = c_Groups_Ozero__class_Ozero(X7) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_dvd__0__left) ).

fof(fact_nonzero__divide__eq__eq,axiom,
    ! [X12,X14,X16,X7] :
      ( class_Rings_Odivision__ring(X7)
     => ( X16 != c_Groups_Ozero__class_Ozero(X7)
       => ( c_Rings_Oinverse__class_Odivide(X7,X14,X16) = X12
        <=> X14 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X7),X12),X16) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_nonzero__divide__eq__eq) ).

fof(fact_poly__cancel__eq__conv,axiom,
    ! [X14,X36,X12,X11] :
      ( X11 = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
     => ( X12 != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
       => ( X36 = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
        <=> c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),X12),X36),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),X14),X11)) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_poly__cancel__eq__conv) ).

fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I10_J,axiom,
    ! [X6,X7] :
      ( class_Rings_Ocomm__semiring__1(X7)
     => hAPP(hAPP(c_Groups_Otimes__class_Otimes(X7),X6),c_Groups_Ozero__class_Ozero(X7)) = c_Groups_Ozero__class_Ozero(X7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_comm__semiring__1__class_Onormalizing__semiring__rules_I10_J) ).

fof(fact_diff__0__right,axiom,
    ! [X6,X7] :
      ( class_Groups_Ogroup__add(X7)
     => c_Groups_Ominus__class_Ominus(X7,X6,c_Groups_Ozero__class_Ozero(X7)) = X6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_diff__0__right) ).

fof(arity_Polynomial__Opoly__Rings_Ocomm__semiring__1,axiom,
    ! [X89] :
      ( class_Rings_Ocomm__semiring__1(X89)
     => class_Rings_Ocomm__semiring__1(tc_Polynomial_Opoly(X89)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_Polynomial__Opoly__Rings_Ocomm__semiring__1) ).

fof(arity_Polynomial__Opoly__Groups_Ogroup__add,axiom,
    ! [X89] :
      ( class_Groups_Oab__group__add(X89)
     => class_Groups_Ogroup__add(tc_Polynomial_Opoly(X89)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_Polynomial__Opoly__Groups_Ogroup__add) ).

fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I34_J,axiom,
    ! [X28,X29,X30,X7] :
      ( class_Rings_Ocomm__semiring__1(X7)
     => hAPP(hAPP(c_Groups_Otimes__class_Otimes(X7),X30),c_Groups_Oplus__class_Oplus(X7,X29,X28)) = c_Groups_Oplus__class_Oplus(X7,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X7),X30),X29),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X7),X30),X28)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_comm__semiring__1__class_Onormalizing__semiring__rules_I34_J) ).

fof(fact_diff__add__cancel,axiom,
    ! [X5,X6,X7] :
      ( class_Groups_Ogroup__add(X7)
     => c_Groups_Oplus__class_Oplus(X7,c_Groups_Ominus__class_Ominus(X7,X6,X5),X5) = X6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_diff__add__cancel) ).

fof(arity_Complex__Ocomplex__Groups_Oab__group__add,axiom,
    class_Groups_Oab__group__add(tc_Complex_Ocomplex),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_Complex__Ocomplex__Groups_Oab__group__add) ).

fof(fact_right__inverse__eq,axiom,
    ! [X12,X14,X7] :
      ( class_Rings_Odivision__ring(X7)
     => ( X14 != c_Groups_Ozero__class_Ozero(X7)
       => ( c_Rings_Oinverse__class_Odivide(X7,X12,X14) = c_Groups_Oone__class_Oone(X7)
        <=> X12 = X14 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_right__inverse__eq) ).

fof(fact_t,axiom,
    v_p_H = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_p),v_t____),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_t) ).

fof(fact__096r_A_061_061_Asmult_Aa_Aq_A_N_Ap_H_096,axiom,
    v_r = c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(tc_Complex_Ocomplex),c_Polynomial_Osmult(tc_Complex_Ocomplex,v_a,v_q),v_p_H),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact__096r_A_061_061_Asmult_Aa_Aq_A_N_Ap_H_096) ).

fof(conj_0,conjecture,
    v_q = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_p),c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),v_a),c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(tc_Complex_Ocomplex),v_u____,v_t____))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).

fof(fact_mult__smult__right,axiom,
    ! [X10,X6,X4,X7] :
      ( class_Rings_Ocomm__semiring__0(X7)
     => hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X7)),X4),c_Polynomial_Osmult(X7,X6,X10)) = c_Polynomial_Osmult(X7,X6,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X7)),X4),X10)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_mult__smult__right) ).

fof(fact_u,axiom,
    v_r = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_p),v_u____),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_u) ).

fof(fact_divide__zero__left,axiom,
    ! [X6,X7] :
      ( class_Rings_Odivision__ring(X7)
     => c_Rings_Oinverse__class_Odivide(X7,c_Groups_Ozero__class_Ozero(X7),X6) = c_Groups_Ozero__class_Ozero(X7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_divide__zero__left) ).

fof(fact_smult__smult,axiom,
    ! [X4,X5,X6,X7] :
      ( class_Rings_Ocomm__semiring__0(X7)
     => c_Polynomial_Osmult(X7,X6,c_Polynomial_Osmult(X7,X5,X4)) = c_Polynomial_Osmult(X7,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X7),X6),X5),X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_smult__smult) ).

fof(c_0_51,plain,
    ! [X6,X7] :
      ( class_Rings_Odivision__ring(X7)
     => ( X6 != c_Groups_Ozero__class_Ozero(X7)
       => c_Rings_Oinverse__class_Odivide(X7,X6,X6) = c_Groups_Oone__class_Oone(X7) ) ),
    inference(fof_simplification,[status(thm)],[fact_divide__self]) ).

fof(c_0_52,plain,
    ! [X214,X215] :
      ( ~ class_Rings_Odivision__ring(X215)
      | X214 = c_Groups_Ozero__class_Ozero(X215)
      | c_Rings_Oinverse__class_Odivide(X215,X214,X214) = c_Groups_Oone__class_Oone(X215) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_51])])]) ).

fof(c_0_53,plain,
    ! [X14,X12,X16,X7] :
      ( class_Rings_Odivision__ring(X7)
     => ( X16 != c_Groups_Ozero__class_Ozero(X7)
       => ( X12 = c_Rings_Oinverse__class_Odivide(X7,X14,X16)
        <=> hAPP(hAPP(c_Groups_Otimes__class_Otimes(X7),X12),X16) = X14 ) ) ),
    inference(fof_simplification,[status(thm)],[fact_nonzero__eq__divide__eq]) ).

fof(c_0_54,plain,
    v_a != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),
    inference(fof_simplification,[status(thm)],[fact_a0]) ).

fof(c_0_55,plain,
    ! [X128,X129] :
      ( ~ class_Rings_Odivision__ring(X129)
      | c_Rings_Oinverse__class_Odivide(X129,X128,c_Groups_Oone__class_Oone(X129)) = X128 ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_divide__1])])]) ).

cnf(c_0_56,plain,
    ( X2 = c_Groups_Ozero__class_Ozero(X1)
    | c_Rings_Oinverse__class_Odivide(X1,X2,X2) = c_Groups_Oone__class_Oone(X1)
    | ~ class_Rings_Odivision__ring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_52]) ).

cnf(c_0_57,plain,
    class_Rings_Odivision__ring(tc_Complex_Ocomplex),
    inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__Rings_Odivision__ring]) ).

fof(c_0_58,plain,
    ! [X207,X208,X209,X210] :
      ( ( X208 != c_Rings_Oinverse__class_Odivide(X210,X207,X209)
        | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X210),X208),X209) = X207
        | X209 = c_Groups_Ozero__class_Ozero(X210)
        | ~ class_Rings_Odivision__ring(X210) )
      & ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X210),X208),X209) != X207
        | X208 = c_Rings_Oinverse__class_Odivide(X210,X207,X209)
        | X209 = c_Groups_Ozero__class_Ozero(X210)
        | ~ class_Rings_Odivision__ring(X210) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_53])])])]) ).

fof(c_0_59,plain,
    v_a != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),
    inference(fof_nnf,[status(thm)],[c_0_54]) ).

cnf(c_0_60,plain,
    ( c_Rings_Oinverse__class_Odivide(X1,X2,c_Groups_Oone__class_Oone(X1)) = X2
    | ~ class_Rings_Odivision__ring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_55]) ).

cnf(c_0_61,plain,
    ( c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X1,X1) = c_Groups_Oone__class_Oone(tc_Complex_Ocomplex)
    | X1 = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
    inference(spm,[status(thm)],[c_0_56,c_0_57]) ).

fof(c_0_62,plain,
    ! [X122,X123] :
      ( ~ class_Rings_Ocomm__semiring__1(X123)
      | c_Polynomial_Osmult(X123,c_Groups_Oone__class_Oone(X123),X122) = X122 ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_smult__1__left])])]) ).

cnf(c_0_63,plain,
    ( X2 = c_Rings_Oinverse__class_Odivide(X1,X4,X3)
    | X3 = c_Groups_Ozero__class_Ozero(X1)
    | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3) != X4
    | ~ class_Rings_Odivision__ring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_58]) ).

cnf(c_0_64,plain,
    v_a != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),
    inference(split_conjunct,[status(thm)],[c_0_59]) ).

cnf(c_0_65,plain,
    ( c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X1,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X2,X2)) = X1
    | X2 = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_61]),c_0_57])]) ).

cnf(c_0_66,plain,
    ( c_Polynomial_Osmult(X1,c_Groups_Oone__class_Oone(X1),X2) = X2
    | ~ class_Rings_Ocomm__semiring__1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_62]) ).

cnf(c_0_67,plain,
    class_Rings_Ocomm__semiring__1(tc_Complex_Ocomplex),
    inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__Rings_Ocomm__semiring__1]) ).

fof(c_0_68,plain,
    ! [X1884,X1885,X1886] :
      ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1886),X1885),X1885) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1886),X1884),X1884)
        | X1885 = X1884
        | X1885 = c_Groups_Ouminus__class_Ouminus(X1886,X1884)
        | ~ class_Rings_Oidom(X1886) )
      & ( X1885 != X1884
        | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1886),X1885),X1885) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1886),X1884),X1884)
        | ~ class_Rings_Oidom(X1886) )
      & ( X1885 != c_Groups_Ouminus__class_Ouminus(X1886,X1884)
        | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1886),X1885),X1885) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1886),X1884),X1884)
        | ~ class_Rings_Oidom(X1886) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_square__eq__iff])])])]) ).

fof(c_0_69,plain,
    ! [X2031,X2032] :
      ( ~ class_Rings_Ocomm__ring__1(X2032)
      | c_Groups_Ouminus__class_Ouminus(X2032,X2031) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2032),c_Groups_Ouminus__class_Ouminus(X2032,c_Groups_Oone__class_Oone(X2032))),X2031) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_comm__ring__1__class_Onormalizing__ring__rules_I1_J])])]) ).

cnf(c_0_70,plain,
    ( c_Rings_Oinverse__class_Odivide(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3),X3) = X2
    | X3 = c_Groups_Ozero__class_Ozero(X1)
    | ~ class_Rings_Odivision__ring(X1) ),
    inference(er,[status(thm)],[c_0_63]) ).

cnf(c_0_71,plain,
    c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X1,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,v_a,v_a)) = X1,
    inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_65])]) ).

fof(c_0_72,plain,
    ! [X307,X308] :
      ( ~ class_Rings_Ocomm__semiring__1(X308)
      | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X308),X307),c_Groups_Oone__class_Oone(X308)) = X307 ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_comm__semiring__1__class_Onormalizing__semiring__rules_I12_J])])]) ).

fof(c_0_73,plain,
    ! [X1934,X1935,X1936] :
      ( ( X1935 != c_Groups_Ouminus__class_Ouminus(X1936,X1934)
        | X1934 = c_Groups_Ouminus__class_Ouminus(X1936,X1935)
        | ~ class_Groups_Ogroup__add(X1936) )
      & ( X1934 != c_Groups_Ouminus__class_Ouminus(X1936,X1935)
        | X1935 = c_Groups_Ouminus__class_Ouminus(X1936,X1934)
        | ~ class_Groups_Ogroup__add(X1936) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_equation__minus__iff])])])]) ).

fof(c_0_74,plain,
    ! [X734,X735,X736,X737] :
      ( ~ class_Rings_Ocomm__semiring__0(X737)
      | c_Polynomial_Osmult(X737,X736,c_Polynomial_OpCons(X737,X735,X734)) = c_Polynomial_OpCons(X737,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X737),X736),X735),c_Polynomial_Osmult(X737,X736,X734)) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_smult__pCons])])]) ).

cnf(c_0_75,plain,
    ( c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X1,X1),X2) = X2
    | X1 = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_61]),c_0_67])]) ).

cnf(c_0_76,plain,
    ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),X1),X1) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),X3),X3)
    | X1 != c_Groups_Ouminus__class_Ouminus(X2,X3)
    | ~ class_Rings_Oidom(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_68]) ).

cnf(c_0_77,plain,
    ( c_Groups_Ouminus__class_Ouminus(X1,X2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Ouminus__class_Ouminus(X1,c_Groups_Oone__class_Oone(X1))),X2)
    | ~ class_Rings_Ocomm__ring__1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_69]) ).

cnf(c_0_78,plain,
    ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),X1),c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,v_a,v_a)) = X1
    | c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,v_a,v_a) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_71]),c_0_57])]) ).

cnf(c_0_79,plain,
    class_Rings_Ocomm__ring__1(tc_Complex_Ocomplex),
    inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__Rings_Ocomm__ring__1]) ).

cnf(c_0_80,plain,
    ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),c_Groups_Oone__class_Oone(X1)) = X2
    | ~ class_Rings_Ocomm__semiring__1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_72]) ).

cnf(c_0_81,plain,
    ( X3 = c_Groups_Ouminus__class_Ouminus(X2,X1)
    | X1 != c_Groups_Ouminus__class_Ouminus(X2,X3)
    | ~ class_Groups_Ogroup__add(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_73]) ).

fof(c_0_82,plain,
    ! [X7] :
      ( class_Rings_Ozero__neq__one(X7)
     => c_Groups_Ozero__class_Ozero(X7) != c_Groups_Oone__class_Oone(X7) ),
    inference(fof_simplification,[status(thm)],[fact_zero__neq__one]) ).

fof(c_0_83,plain,
    ! [X1736,X1737] : X1737 = hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_OpCons(tc_Complex_Ocomplex,X1737,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)))),X1736),
    inference(variable_rename,[status(thm)],[fact_mpoly__base__conv_I2_J]) ).

cnf(c_0_84,plain,
    ( c_Polynomial_Osmult(X1,X2,c_Polynomial_OpCons(X1,X3,X4)) = c_Polynomial_OpCons(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3),c_Polynomial_Osmult(X1,X2,X4))
    | ~ class_Rings_Ocomm__semiring__0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_74]) ).

cnf(c_0_85,plain,
    c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,v_a,v_a),X1) = X1,
    inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_75])]) ).

cnf(c_0_86,plain,
    class_Rings_Ocomm__semiring__0(tc_Complex_Ocomplex),
    inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__Rings_Ocomm__semiring__0]) ).

fof(c_0_87,plain,
    ! [X1957,X1958,X1959] :
      ( ~ class_Rings_Odivision__ring(X1959)
      | c_Groups_Ouminus__class_Ouminus(X1959,c_Rings_Oinverse__class_Odivide(X1959,X1958,X1957)) = c_Rings_Oinverse__class_Odivide(X1959,c_Groups_Ouminus__class_Ouminus(X1959,X1958),X1957) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_minus__divide__left])])]) ).

fof(c_0_88,plain,
    ! [X1951,X1952,X1953] :
      ( ~ class_Fields_Ofield__inverse__zero(X1953)
      | c_Groups_Ouminus__class_Ouminus(X1953,c_Rings_Oinverse__class_Odivide(X1953,X1952,X1951)) = c_Rings_Oinverse__class_Odivide(X1953,X1952,c_Groups_Ouminus__class_Ouminus(X1953,X1951)) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_minus__divide__right])])]) ).

fof(c_0_89,plain,
    ! [X1890,X1891,X1892] :
      ( ~ class_Rings_Oring(X1892)
      | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1892),c_Groups_Ouminus__class_Ouminus(X1892,X1891)),X1890) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1892),X1891),c_Groups_Ouminus__class_Ouminus(X1892,X1890)) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_minus__mult__commute])])]) ).

cnf(c_0_90,plain,
    ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Ouminus__class_Ouminus(X1,X2)),c_Groups_Ouminus__class_Ouminus(X1,X2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X2)
    | ~ class_Rings_Oidom(X1) ),
    inference(er,[status(thm)],[c_0_76]) ).

cnf(c_0_91,plain,
    ( c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex)) = c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,v_a,v_a))
    | c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,v_a,v_a) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_78]),c_0_79])]) ).

cnf(c_0_92,plain,
    hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),X1),c_Groups_Oone__class_Oone(tc_Complex_Ocomplex)) = X1,
    inference(spm,[status(thm)],[c_0_80,c_0_67]) ).

cnf(c_0_93,plain,
    class_Rings_Oidom(tc_Complex_Ocomplex),
    inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__Rings_Oidom]) ).

cnf(c_0_94,plain,
    ( c_Groups_Ouminus__class_Ouminus(X1,c_Groups_Ouminus__class_Ouminus(X1,X2)) = X2
    | ~ class_Groups_Ogroup__add(X1) ),
    inference(er,[status(thm)],[c_0_81]) ).

cnf(c_0_95,plain,
    class_Groups_Ogroup__add(tc_Complex_Ocomplex),
    inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__Groups_Ogroup__add]) ).

fof(c_0_96,plain,
    ! [X167] :
      ( ~ class_Rings_Ozero__neq__one(X167)
      | c_Groups_Ozero__class_Ozero(X167) != c_Groups_Oone__class_Oone(X167) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_82])])]) ).

cnf(c_0_97,plain,
    X1 = hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_OpCons(tc_Complex_Ocomplex,X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)))),X2),
    inference(split_conjunct,[status(thm)],[c_0_83]) ).

cnf(c_0_98,plain,
    c_Polynomial_OpCons(tc_Complex_Ocomplex,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,v_a,v_a)),X1),X2) = c_Polynomial_OpCons(tc_Complex_Ocomplex,X1,X2),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_85]),c_0_85]),c_0_86])]) ).

cnf(c_0_99,plain,
    ( c_Groups_Ouminus__class_Ouminus(X1,c_Rings_Oinverse__class_Odivide(X1,X2,X3)) = c_Rings_Oinverse__class_Odivide(X1,c_Groups_Ouminus__class_Ouminus(X1,X2),X3)
    | ~ class_Rings_Odivision__ring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_87]) ).

cnf(c_0_100,plain,
    ( c_Groups_Ouminus__class_Ouminus(X1,c_Rings_Oinverse__class_Odivide(X1,X2,X3)) = c_Rings_Oinverse__class_Odivide(X1,X2,c_Groups_Ouminus__class_Ouminus(X1,X3))
    | ~ class_Fields_Ofield__inverse__zero(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_88]) ).

cnf(c_0_101,plain,
    class_Fields_Ofield__inverse__zero(tc_Complex_Ocomplex),
    inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__Fields_Ofield__inverse__zero]) ).

fof(c_0_102,plain,
    ! [X245,X246,X247,X248] :
      ( ~ class_Rings_Ocomm__semiring__1(X248)
      | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X248),X247),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X248),X246),X245)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X248),X246),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X248),X247),X245)) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_comm__semiring__1__class_Onormalizing__semiring__rules_I19_J])])]) ).

cnf(c_0_103,plain,
    ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Ouminus__class_Ouminus(X1,X2)),X3) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),c_Groups_Ouminus__class_Ouminus(X1,X3))
    | ~ class_Rings_Oring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_89]) ).

cnf(c_0_104,plain,
    ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,v_a,v_a))),c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,v_a,v_a))) = c_Groups_Oone__class_Oone(tc_Complex_Ocomplex)
    | c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,v_a,v_a) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_91]),c_0_92]),c_0_93])]) ).

cnf(c_0_105,plain,
    c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,X1)) = X1,
    inference(spm,[status(thm)],[c_0_94,c_0_95]) ).

cnf(c_0_106,plain,
    class_Rings_Oring(tc_Complex_Ocomplex),
    inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__Rings_Oring]) ).

cnf(c_0_107,plain,
    ( ~ class_Rings_Ozero__neq__one(X1)
    | c_Groups_Ozero__class_Ozero(X1) != c_Groups_Oone__class_Oone(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_96]) ).

cnf(c_0_108,plain,
    class_Rings_Ozero__neq__one(tc_Complex_Ocomplex),
    inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__Rings_Ozero__neq__one]) ).

cnf(c_0_109,plain,
    hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,v_a,v_a)),X1) = X1,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_98]),c_0_97]) ).

cnf(c_0_110,plain,
    c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,X1),X2) = c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X1,X2)),
    inference(spm,[status(thm)],[c_0_99,c_0_57]) ).

cnf(c_0_111,plain,
    c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X1,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,X2)) = c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X1,X2)),
    inference(spm,[status(thm)],[c_0_100,c_0_101]) ).

cnf(c_0_112,plain,
    ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X4)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4))
    | ~ class_Rings_Ocomm__semiring__1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_102]) ).

cnf(c_0_113,plain,
    ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,v_a,v_a)),c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,v_a,v_a)) = c_Groups_Oone__class_Oone(tc_Complex_Ocomplex)
    | c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,v_a,v_a) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_104]),c_0_105]),c_0_106])]) ).

cnf(c_0_114,plain,
    c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),
    inference(spm,[status(thm)],[c_0_107,c_0_108]) ).

cnf(c_0_115,plain,
    c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) = c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,v_a,v_a),
    inference(spm,[status(thm)],[c_0_92,c_0_109]) ).

fof(c_0_116,plain,
    ! [X26,X24,X23,X25,X7] :
      ( class_Fields_Ofield(X7)
     => ( X25 != c_Groups_Ozero__class_Ozero(X7)
       => ( X23 != c_Groups_Ozero__class_Ozero(X7)
         => ( c_Rings_Oinverse__class_Odivide(X7,X24,X25) = c_Rings_Oinverse__class_Odivide(X7,X26,X23)
          <=> hAPP(hAPP(c_Groups_Otimes__class_Otimes(X7),X24),X23) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X7),X26),X25) ) ) ) ),
    inference(fof_simplification,[status(thm)],[fact_frac__eq__eq]) ).

fof(c_0_117,plain,
    ! [X249,X250,X251] :
      ( ~ class_Rings_Ocomm__semiring__1(X251)
      | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X251),X250),X249) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X251),X249),X250) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_comm__semiring__1__class_Onormalizing__semiring__rules_I7_J])])]) ).

cnf(c_0_118,plain,
    ( c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X1,X1) = c_Groups_Oone__class_Oone(tc_Complex_Ocomplex)
    | c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,X1) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_110]),c_0_111]),c_0_105]),c_0_57])]) ).

fof(c_0_119,plain,
    ! [X311,X312,X313,X314] :
      ( ~ class_Rings_Odivision__ring(X314)
      | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X314),X313),c_Rings_Oinverse__class_Odivide(X314,X312,X311)) = c_Rings_Oinverse__class_Odivide(X314,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X314),X313),X312),X311) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_times__divide__eq__right])])]) ).

cnf(c_0_120,plain,
    ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,v_a,v_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),X1),c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,v_a,v_a))) = X1
    | c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,v_a,v_a) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_113]),c_0_92]),c_0_67])]) ).

cnf(c_0_121,plain,
    c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) != c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,v_a,v_a),
    inference(rw,[status(thm)],[c_0_114,c_0_115]) ).

fof(c_0_122,plain,
    ! [X489,X490,X491,X492,X493] :
      ( ( c_Rings_Oinverse__class_Odivide(X493,X490,X492) != c_Rings_Oinverse__class_Odivide(X493,X489,X491)
        | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X493),X490),X491) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X493),X489),X492)
        | X491 = c_Groups_Ozero__class_Ozero(X493)
        | X492 = c_Groups_Ozero__class_Ozero(X493)
        | ~ class_Fields_Ofield(X493) )
      & ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X493),X490),X491) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(X493),X489),X492)
        | c_Rings_Oinverse__class_Odivide(X493,X490,X492) = c_Rings_Oinverse__class_Odivide(X493,X489,X491)
        | X491 = c_Groups_Ozero__class_Ozero(X493)
        | X492 = c_Groups_Ozero__class_Ozero(X493)
        | ~ class_Fields_Ofield(X493) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_116])])])]) ).

cnf(c_0_123,plain,
    ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X2)
    | ~ class_Rings_Ocomm__semiring__1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_117]) ).

cnf(c_0_124,plain,
    ( c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X1,X1) = c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,v_a,v_a)
    | c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,X1) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
    inference(rw,[status(thm)],[c_0_118,c_0_115]) ).

cnf(c_0_125,plain,
    ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),c_Rings_Oinverse__class_Odivide(X1,X3,X4)) = c_Rings_Oinverse__class_Odivide(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3),X4)
    | ~ class_Rings_Odivision__ring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_119]) ).

cnf(c_0_126,plain,
    hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),X1),c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,v_a,v_a)) = X1,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_120,c_0_109]),c_0_121]) ).

fof(c_0_127,plain,
    ! [X374,X375,X376] :
      ( ~ class_Rings_Ocomm__semiring__1(X376)
      | c_Rings_Odvd__class_Odvd(X376,X375,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X376),X374),X375)) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_dvd__triv__right])])]) ).

cnf(c_0_128,plain,
    ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X5) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X3)
    | X5 = c_Groups_Ozero__class_Ozero(X1)
    | X3 = c_Groups_Ozero__class_Ozero(X1)
    | c_Rings_Oinverse__class_Odivide(X1,X2,X3) != c_Rings_Oinverse__class_Odivide(X1,X4,X5)
    | ~ class_Fields_Ofield(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_122]) ).

cnf(c_0_129,plain,
    class_Fields_Ofield(tc_Complex_Ocomplex),
    inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__Fields_Ofield]) ).

cnf(c_0_130,plain,
    hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),X1),X2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),X2),X1),
    inference(spm,[status(thm)],[c_0_123,c_0_67]) ).

cnf(c_0_131,plain,
    ( c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X1,X1) = c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,v_a,v_a)
    | c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,X1) != v_a ),
    inference(spm,[status(thm)],[c_0_64,c_0_124]) ).

cnf(c_0_132,plain,
    c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X1,X2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),X1),c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,v_a,v_a),X2)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_126]),c_0_57])]) ).

cnf(c_0_133,plain,
    ( c_Rings_Odvd__class_Odvd(X1,X2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X2))
    | ~ class_Rings_Ocomm__semiring__1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_127]) ).

cnf(c_0_134,plain,
    ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),X1),c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X2,X1)) = X2
    | X1 = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
    inference(rw,[status(thm)],[inference(er,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_126]),c_0_71]),c_0_129])]),c_0_121])]),c_0_130]) ).

fof(c_0_135,plain,
    ! [X1893,X1894,X1895] :
      ( ~ class_Rings_Oring(X1895)
      | c_Groups_Ouminus__class_Ouminus(X1895,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1895),X1894),X1893)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1895),c_Groups_Ouminus__class_Ouminus(X1895,X1894)),X1893) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_minus__mult__left])])]) ).

cnf(c_0_136,plain,
    ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),X1),c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,v_a,v_a),X1)) = c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,v_a,v_a)
    | c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,X1) != v_a ),
    inference(spm,[status(thm)],[c_0_131,c_0_132]) ).

fof(c_0_137,plain,
    ! [X1971,X1972,X1973] :
      ( ( ~ c_Rings_Odvd__class_Odvd(X1973,X1972,c_Groups_Ouminus__class_Ouminus(X1973,X1971))
        | c_Rings_Odvd__class_Odvd(X1973,X1972,X1971)
        | ~ class_Rings_Ocomm__ring__1(X1973) )
      & ( ~ c_Rings_Odvd__class_Odvd(X1973,X1972,X1971)
        | c_Rings_Odvd__class_Odvd(X1973,X1972,c_Groups_Ouminus__class_Ouminus(X1973,X1971))
        | ~ class_Rings_Ocomm__ring__1(X1973) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_dvd__minus__iff])])])]) ).

cnf(c_0_138,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
    | c_Rings_Odvd__class_Odvd(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X2,X1),X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_134]),c_0_67])]) ).

cnf(c_0_139,plain,
    ( c_Groups_Ouminus__class_Ouminus(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Ouminus__class_Ouminus(X1,X2)),X3)
    | ~ class_Rings_Oring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_135]) ).

cnf(c_0_140,plain,
    hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a)),c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,v_a,v_a),v_a))) = c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,v_a,v_a),
    inference(er,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_105]),c_0_111])]) ).

fof(c_0_141,plain,
    ! [X377,X378,X379,X380] :
      ( ~ class_Rings_Ocomm__semiring__1(X380)
      | ~ c_Rings_Odvd__class_Odvd(X380,X379,X378)
      | c_Rings_Odvd__class_Odvd(X380,X379,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X380),X378),X377)) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_dvd__mult2])])]) ).

cnf(c_0_142,plain,
    ( c_Rings_Odvd__class_Odvd(X1,X2,X3)
    | ~ c_Rings_Odvd__class_Odvd(X1,X2,c_Groups_Ouminus__class_Ouminus(X1,X3))
    | ~ class_Rings_Ocomm__ring__1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_137]) ).

cnf(c_0_143,plain,
    c_Rings_Odvd__class_Odvd(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X1,v_a),X1),
    inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_138])]) ).

cnf(c_0_144,plain,
    c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),v_a),c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,v_a,v_a),v_a)))) = c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,v_a,v_a),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_140]),c_0_106])]) ).

cnf(c_0_145,plain,
    ( c_Rings_Odvd__class_Odvd(X1,X2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X4))
    | ~ class_Rings_Ocomm__semiring__1(X1)
    | ~ c_Rings_Odvd__class_Odvd(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_141]) ).

cnf(c_0_146,plain,
    ( c_Rings_Odvd__class_Odvd(tc_Complex_Ocomplex,X1,X2)
    | ~ c_Rings_Odvd__class_Odvd(tc_Complex_Ocomplex,X1,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,X2)) ),
    inference(spm,[status(thm)],[c_0_142,c_0_79]) ).

cnf(c_0_147,plain,
    c_Rings_Odvd__class_Odvd(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X1,v_a)),c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,X1)),
    inference(spm,[status(thm)],[c_0_143,c_0_110]) ).

cnf(c_0_148,plain,
    hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),v_a),c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,v_a,v_a),v_a))) = c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,v_a,v_a)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_144]),c_0_95])]) ).

fof(c_0_149,plain,
    ! [X369,X370] :
      ( ~ class_Rings_Ocomm__semiring__1(X370)
      | ~ c_Rings_Odvd__class_Odvd(X370,c_Groups_Ozero__class_Ozero(X370),X369)
      | X369 = c_Groups_Ozero__class_Ozero(X370) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_dvd__0__left])])]) ).

cnf(c_0_150,plain,
    ( c_Rings_Odvd__class_Odvd(tc_Complex_Ocomplex,X1,X2)
    | ~ c_Rings_Odvd__class_Odvd(tc_Complex_Ocomplex,X1,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,v_a,v_a)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_109]),c_0_67])]) ).

cnf(c_0_151,plain,
    c_Rings_Odvd__class_Odvd(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X1,v_a)),X1),
    inference(spm,[status(thm)],[c_0_146,c_0_147]) ).

cnf(c_0_152,plain,
    ( c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,v_a,v_a),c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,v_a,v_a),v_a)) = v_a
    | c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,v_a,v_a),v_a)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_148]),c_0_111]),c_0_110]),c_0_105]),c_0_57])]) ).

cnf(c_0_153,plain,
    ( X2 = c_Groups_Ozero__class_Ozero(X1)
    | ~ class_Rings_Ocomm__semiring__1(X1)
    | ~ c_Rings_Odvd__class_Odvd(X1,c_Groups_Ozero__class_Ozero(X1),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_149]) ).

cnf(c_0_154,plain,
    c_Rings_Odvd__class_Odvd(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,v_a,v_a),v_a)),X1),
    inference(spm,[status(thm)],[c_0_150,c_0_151]) ).

fof(c_0_155,plain,
    ! [X12,X14,X16,X7] :
      ( class_Rings_Odivision__ring(X7)
     => ( X16 != c_Groups_Ozero__class_Ozero(X7)
       => ( c_Rings_Oinverse__class_Odivide(X7,X14,X16) = X12
        <=> X14 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X7),X12),X16) ) ) ),
    inference(fof_simplification,[status(thm)],[fact_nonzero__divide__eq__eq]) ).

cnf(c_0_156,plain,
    ( c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,v_a,v_a),c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,v_a,v_a),v_a)) = v_a
    | c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,v_a,v_a),v_a)) != v_a ),
    inference(spm,[status(thm)],[c_0_64,c_0_152]) ).

cnf(c_0_157,plain,
    ( c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,v_a,v_a),c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,v_a,v_a),v_a)) = v_a
    | X1 = c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,v_a,v_a),v_a)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_153,c_0_152]),c_0_154]),c_0_67])]) ).

fof(c_0_158,plain,
    ! [X203,X204,X205,X206] :
      ( ( c_Rings_Oinverse__class_Odivide(X206,X204,X205) != X203
        | X204 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X206),X203),X205)
        | X205 = c_Groups_Ozero__class_Ozero(X206)
        | ~ class_Rings_Odivision__ring(X206) )
      & ( X204 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(X206),X203),X205)
        | c_Rings_Oinverse__class_Odivide(X206,X204,X205) = X203
        | X205 = c_Groups_Ozero__class_Ozero(X206)
        | ~ class_Rings_Odivision__ring(X206) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_155])])])]) ).

cnf(c_0_159,plain,
    c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,v_a,v_a),c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,v_a,v_a),v_a)) = v_a,
    inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_156,c_0_157])]) ).

cnf(c_0_160,plain,
    ( X2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X3)
    | X3 = c_Groups_Ozero__class_Ozero(X1)
    | c_Rings_Oinverse__class_Odivide(X1,X2,X3) != X4
    | ~ class_Rings_Odivision__ring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_158]) ).

cnf(c_0_161,plain,
    c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X1,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,v_a,v_a),v_a)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),X1),v_a),
    inference(spm,[status(thm)],[c_0_132,c_0_159]) ).

cnf(c_0_162,plain,
    ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Rings_Oinverse__class_Odivide(X1,X2,X3)),X3) = X2
    | X3 = c_Groups_Ozero__class_Ozero(X1)
    | ~ class_Rings_Odivision__ring(X1) ),
    inference(er,[status(thm)],[c_0_160]) ).

fof(c_0_163,plain,
    ! [X14,X36,X12,X11] :
      ( X11 = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
     => ( X12 != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
       => ( X36 = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
        <=> c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),X12),X36),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),X14),X11)) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ) ),
    inference(fof_simplification,[status(thm)],[fact_poly__cancel__eq__conv]) ).

cnf(c_0_164,plain,
    c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X1,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,v_a,v_a),v_a)),v_a) = X1,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_161]),c_0_57])]),c_0_64]) ).

cnf(c_0_165,plain,
    c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X1,v_a),c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,v_a,v_a),v_a)) = X1,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_162,c_0_161]),c_0_57])]),c_0_64]) ).

fof(c_0_166,plain,
    ! [X420,X421,X422,X423] :
      ( ( X421 != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
        | c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),X422),X421),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),X420),X423)) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
        | X422 = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
        | X423 != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) )
      & ( c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),X422),X421),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),X420),X423)) != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
        | X421 = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
        | X422 = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
        | X423 != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_163])])])]) ).

fof(c_0_167,plain,
    ! [X152,X153] :
      ( ~ class_Rings_Ocomm__semiring__1(X153)
      | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X153),X152),c_Groups_Ozero__class_Ozero(X153)) = c_Groups_Ozero__class_Ozero(X153) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_comm__semiring__1__class_Onormalizing__semiring__rules_I10_J])])]) ).

fof(c_0_168,plain,
    ! [X592,X593] :
      ( ~ class_Groups_Ogroup__add(X593)
      | c_Groups_Ominus__class_Ominus(X593,X592,c_Groups_Ozero__class_Ozero(X593)) = X592 ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_diff__0__right])])]) ).

fof(c_0_169,plain,
    ! [X3019] :
      ( ~ class_Rings_Ocomm__semiring__1(X3019)
      | class_Rings_Ocomm__semiring__1(tc_Polynomial_Opoly(X3019)) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Rings_Ocomm__semiring__1])])]) ).

fof(c_0_170,plain,
    ! [X3031] :
      ( ~ class_Groups_Oab__group__add(X3031)
      | class_Groups_Ogroup__add(tc_Polynomial_Opoly(X3031)) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Groups_Ogroup__add])])]) ).

cnf(c_0_171,plain,
    hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,v_a,v_a),v_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),X1),v_a)) = X1,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_164,c_0_132]),c_0_165]),c_0_132]),c_0_130]) ).

cnf(c_0_172,plain,
    ( X2 = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
    | X1 = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
    | c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),X3),X4)) != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
    | X4 != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
    inference(split_conjunct,[status(thm)],[c_0_166]) ).

cnf(c_0_173,plain,
    ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),c_Groups_Ozero__class_Ozero(X1)) = c_Groups_Ozero__class_Ozero(X1)
    | ~ class_Rings_Ocomm__semiring__1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_167]) ).

cnf(c_0_174,plain,
    ( c_Groups_Ominus__class_Ominus(X1,X2,c_Groups_Ozero__class_Ozero(X1)) = X2
    | ~ class_Groups_Ogroup__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_168]) ).

fof(c_0_175,plain,
    ! [X303,X304,X305,X306] :
      ( ~ class_Rings_Ocomm__semiring__1(X306)
      | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X306),X305),c_Groups_Oplus__class_Oplus(X306,X304,X303)) = c_Groups_Oplus__class_Oplus(X306,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X306),X305),X304),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X306),X305),X303)) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_comm__semiring__1__class_Onormalizing__semiring__rules_I34_J])])]) ).

cnf(c_0_176,plain,
    ( class_Rings_Ocomm__semiring__1(tc_Polynomial_Opoly(X1))
    | ~ class_Rings_Ocomm__semiring__1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_169]) ).

fof(c_0_177,plain,
    ! [X581,X582,X583] :
      ( ~ class_Groups_Ogroup__add(X583)
      | c_Groups_Oplus__class_Oplus(X583,c_Groups_Ominus__class_Ominus(X583,X582,X581),X581) = X582 ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_diff__add__cancel])])]) ).

cnf(c_0_178,plain,
    ( class_Groups_Ogroup__add(tc_Polynomial_Opoly(X1))
    | ~ class_Groups_Oab__group__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_170]) ).

cnf(c_0_179,plain,
    class_Groups_Oab__group__add(tc_Complex_Ocomplex),
    inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__Groups_Oab__group__add]) ).

fof(c_0_180,plain,
    ! [X12,X14,X7] :
      ( class_Rings_Odivision__ring(X7)
     => ( X14 != c_Groups_Ozero__class_Ozero(X7)
       => ( c_Rings_Oinverse__class_Odivide(X7,X12,X14) = c_Groups_Oone__class_Oone(X7)
        <=> X12 = X14 ) ) ),
    inference(fof_simplification,[status(thm)],[fact_right__inverse__eq]) ).

cnf(c_0_181,plain,
    hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,v_a,v_a),v_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),v_a),X1)) = X1,
    inference(spm,[status(thm)],[c_0_171,c_0_130]) ).

cnf(c_0_182,plain,
    hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),v_a),X1) = c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X1,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,v_a,v_a),v_a)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_161]),c_0_67])]) ).

cnf(c_0_183,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
    | X2 = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
    | c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),X2),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),X3),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))) != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
    inference(er,[status(thm)],[c_0_172]) ).

cnf(c_0_184,plain,
    hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),X1),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),
    inference(spm,[status(thm)],[c_0_173,c_0_67]) ).

cnf(c_0_185,plain,
    c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,X1,c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)) = X1,
    inference(spm,[status(thm)],[c_0_174,c_0_95]) ).

cnf(c_0_186,plain,
    ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),c_Groups_Oplus__class_Oplus(X1,X3,X4)) = c_Groups_Oplus__class_Oplus(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4))
    | ~ class_Rings_Ocomm__semiring__1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_175]) ).

cnf(c_0_187,plain,
    v_p_H = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_p),v_t____),
    inference(split_conjunct,[status(thm)],[fact_t]) ).

cnf(c_0_188,plain,
    class_Rings_Ocomm__semiring__1(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
    inference(spm,[status(thm)],[c_0_176,c_0_67]) ).

cnf(c_0_189,plain,
    ( c_Groups_Oplus__class_Oplus(X1,c_Groups_Ominus__class_Ominus(X1,X2,X3),X3) = X2
    | ~ class_Groups_Ogroup__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_177]) ).

cnf(c_0_190,plain,
    v_r = c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(tc_Complex_Ocomplex),c_Polynomial_Osmult(tc_Complex_Ocomplex,v_a,v_q),v_p_H),
    inference(split_conjunct,[status(thm)],[fact__096r_A_061_061_Asmult_Aa_Aq_A_N_Ap_H_096]) ).

cnf(c_0_191,plain,
    class_Groups_Ogroup__add(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
    inference(spm,[status(thm)],[c_0_178,c_0_179]) ).

fof(c_0_192,plain,
    ! [X211,X212,X213] :
      ( ( c_Rings_Oinverse__class_Odivide(X213,X211,X212) != c_Groups_Oone__class_Oone(X213)
        | X211 = X212
        | X212 = c_Groups_Ozero__class_Ozero(X213)
        | ~ class_Rings_Odivision__ring(X213) )
      & ( X211 != X212
        | c_Rings_Oinverse__class_Odivide(X213,X211,X212) = c_Groups_Oone__class_Oone(X213)
        | X212 = c_Groups_Ozero__class_Ozero(X213)
        | ~ class_Rings_Odivision__ring(X213) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_180])])])]) ).

cnf(c_0_193,plain,
    hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,v_a,v_a),v_a)),X1) = c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X1,v_a),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_181,c_0_134]),c_0_64]) ).

cnf(c_0_194,plain,
    c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,v_a,v_a),X1),c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,v_a,v_a),v_a)) = c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,v_a,X1),
    inference(spm,[status(thm)],[c_0_132,c_0_182]) ).

cnf(c_0_195,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
    | X2 = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
    | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),X2),X1) != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_183,c_0_184]),c_0_185]) ).

fof(c_0_196,negated_conjecture,
    v_q != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_p),c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),v_a),c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(tc_Complex_Ocomplex),v_u____,v_t____))),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_0])]) ).

fof(c_0_197,plain,
    ! [X114,X115,X116,X117] :
      ( ~ class_Rings_Ocomm__semiring__0(X117)
      | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X117)),X116),c_Polynomial_Osmult(X117,X115,X114)) = c_Polynomial_Osmult(X117,X115,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X117)),X116),X114)) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__smult__right])])]) ).

cnf(c_0_198,plain,
    c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_p),X1),v_p_H) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_p),c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(tc_Complex_Ocomplex),X1,v_t____)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_186,c_0_187]),c_0_188])]) ).

cnf(c_0_199,plain,
    v_r = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_p),v_u____),
    inference(split_conjunct,[status(thm)],[fact_u]) ).

cnf(c_0_200,plain,
    c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(tc_Complex_Ocomplex),v_r,v_p_H) = c_Polynomial_Osmult(tc_Complex_Ocomplex,v_a,v_q),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_189,c_0_190]),c_0_191])]) ).

fof(c_0_201,plain,
    ! [X171,X172] :
      ( ~ class_Rings_Odivision__ring(X172)
      | c_Rings_Oinverse__class_Odivide(X172,c_Groups_Ozero__class_Ozero(X172),X171) = c_Groups_Ozero__class_Ozero(X172) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_divide__zero__left])])]) ).

cnf(c_0_202,plain,
    ( X2 = X3
    | X3 = c_Groups_Ozero__class_Ozero(X1)
    | c_Rings_Oinverse__class_Odivide(X1,X2,X3) != c_Groups_Oone__class_Oone(X1)
    | ~ class_Rings_Odivision__ring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_192]) ).

cnf(c_0_203,plain,
    c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,v_a,v_a),v_a),X1) = c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,v_a,v_a),X1),v_a),
    inference(spm,[status(thm)],[c_0_132,c_0_193]) ).

cnf(c_0_204,plain,
    c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,v_a,X1),v_a) = c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,v_a,v_a),X1),
    inference(spm,[status(thm)],[c_0_164,c_0_194]) ).

cnf(c_0_205,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
    | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),X1),X1) != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
    inference(ef,[status(thm)],[c_0_195]) ).

fof(c_0_206,negated_conjecture,
    v_q != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_p),c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),v_a),c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(tc_Complex_Ocomplex),v_u____,v_t____))),
    inference(fof_nnf,[status(thm)],[c_0_196]) ).

cnf(c_0_207,plain,
    ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X1)),X2),c_Polynomial_Osmult(X1,X3,X4)) = c_Polynomial_Osmult(X1,X3,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X1)),X2),X4))
    | ~ class_Rings_Ocomm__semiring__0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_197]) ).

cnf(c_0_208,plain,
    hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_p),c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(tc_Complex_Ocomplex),v_u____,v_t____)) = c_Polynomial_Osmult(tc_Complex_Ocomplex,v_a,v_q),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_198,c_0_199]),c_0_200]) ).

fof(c_0_209,plain,
    ! [X124,X125,X126,X127] :
      ( ~ class_Rings_Ocomm__semiring__0(X127)
      | c_Polynomial_Osmult(X127,X126,c_Polynomial_Osmult(X127,X125,X124)) = c_Polynomial_Osmult(X127,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X127),X126),X125),X124) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_smult__smult])])]) ).

cnf(c_0_210,plain,
    ( c_Rings_Oinverse__class_Odivide(X1,c_Groups_Ozero__class_Ozero(X1),X2) = c_Groups_Ozero__class_Ozero(X1)
    | ~ class_Rings_Odivision__ring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_201]) ).

cnf(c_0_211,plain,
    ( c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X1,X1) = c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,v_a,v_a)
    | X1 = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_109]),c_0_57])]) ).

cnf(c_0_212,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
    | X2 = X1
    | c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X2,X1) != c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,v_a,v_a) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_202,c_0_57]),c_0_115]) ).

cnf(c_0_213,plain,
    c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,v_a,v_a),v_a),X1) = c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,v_a,X1),v_a),v_a),
    inference(spm,[status(thm)],[c_0_203,c_0_204]) ).

cnf(c_0_214,plain,
    hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),v_a),c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X1,v_a)) = X1,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_165]),c_0_165]),c_0_130]) ).

cnf(c_0_215,plain,
    hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,v_a,v_a),v_a)),c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,v_a,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,v_a,v_a),v_a))) = v_a,
    inference(spm,[status(thm)],[c_0_181,c_0_161]) ).

cnf(c_0_216,plain,
    c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) != c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,v_a,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,v_a,v_a),v_a)),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_205,c_0_161]),c_0_64]) ).

cnf(c_0_217,negated_conjecture,
    v_q != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_p),c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),v_a),c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(tc_Complex_Ocomplex),v_u____,v_t____))),
    inference(split_conjunct,[status(thm)],[c_0_206]) ).

cnf(c_0_218,plain,
    hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_p),c_Polynomial_Osmult(tc_Complex_Ocomplex,X1,c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(tc_Complex_Ocomplex),v_u____,v_t____))) = c_Polynomial_Osmult(tc_Complex_Ocomplex,X1,c_Polynomial_Osmult(tc_Complex_Ocomplex,v_a,v_q)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_207,c_0_208]),c_0_86])]) ).

cnf(c_0_219,plain,
    ( c_Polynomial_Osmult(X1,X2,c_Polynomial_Osmult(X1,X3,X4)) = c_Polynomial_Osmult(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3),X4)
    | ~ class_Rings_Ocomm__semiring__0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_209]) ).

cnf(c_0_220,plain,
    ( c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X1,X1) = c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,v_a,v_a)
    | c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X1,X2) = X1 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_210,c_0_211]),c_0_57])]) ).

cnf(c_0_221,plain,
    ( c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,v_a,X1),v_a) = v_a
    | c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,v_a,v_a),v_a),X1) != c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,v_a,v_a) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_212,c_0_213]),c_0_64]) ).

cnf(c_0_222,plain,
    ( c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X1,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X1,v_a)) = v_a
    | c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X1,v_a) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_214]),c_0_57])]) ).

cnf(c_0_223,plain,
    c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,v_a,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,v_a,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,v_a,v_a),v_a))) = c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,v_a,v_a),v_a),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_215]),c_0_57])]),c_0_216]) ).

cnf(c_0_224,negated_conjecture,
    c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),v_a),c_Polynomial_Osmult(tc_Complex_Ocomplex,v_a,v_q)) != v_q,
    inference(rw,[status(thm)],[c_0_217,c_0_218]) ).

cnf(c_0_225,plain,
    c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X1,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,v_a,v_a),v_a)),X2) = c_Polynomial_Osmult(tc_Complex_Ocomplex,X1,c_Polynomial_Osmult(tc_Complex_Ocomplex,v_a,X2)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_219,c_0_161]),c_0_86])]) ).

cnf(c_0_226,plain,
    ( c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X1,v_a),c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X1,v_a)) = c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,v_a,v_a)
    | c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X1,v_a) = X1 ),
    inference(spm,[status(thm)],[c_0_220,c_0_165]) ).

cnf(c_0_227,plain,
    ( c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,v_a,X1),c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,v_a,X1),v_a)) = v_a
    | c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,v_a,v_a),v_a),X1) != c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,v_a,v_a) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_221,c_0_222]),c_0_64]) ).

cnf(c_0_228,plain,
    ( c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),X1),v_a)) = c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,v_a,v_a),v_a)
    | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),X1),v_a) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_171]),c_0_57])]) ).

cnf(c_0_229,plain,
    c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,v_a,v_a),v_a),v_a) = c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,v_a,v_a),c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,v_a,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,v_a,v_a),v_a))),
    inference(spm,[status(thm)],[c_0_204,c_0_223]) ).

cnf(c_0_230,negated_conjecture,
    ( X1 = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
    | c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X1,X1),v_a),c_Polynomial_Osmult(tc_Complex_Ocomplex,v_a,v_q)) != v_q ),
    inference(spm,[status(thm)],[c_0_224,c_0_61]) ).

cnf(c_0_231,plain,
    ( c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,v_a,v_a),v_a),c_Polynomial_Osmult(tc_Complex_Ocomplex,v_a,X1)) = X1
    | c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,v_a,v_a),v_a) = c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,v_a,v_a) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_225,c_0_226]),c_0_85]) ).

cnf(c_0_232,plain,
    ( c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,v_a,v_a),v_a),c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,v_a,v_a),c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,v_a,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,v_a,v_a),v_a)))) = v_a
    | c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,v_a,v_a),v_a),c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,v_a,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,v_a,v_a),v_a))) != c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,v_a,v_a) ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_227,c_0_228]),c_0_229]),c_0_161]),c_0_161]),c_0_216]) ).

cnf(c_0_233,negated_conjecture,
    c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,v_a,v_a),v_a) = c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,v_a,v_a),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_230,c_0_231]),c_0_64]) ).

cnf(c_0_234,plain,
    c_Polynomial_Osmult(tc_Complex_Ocomplex,v_a,c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X1,v_a),X2)) = c_Polynomial_Osmult(tc_Complex_Ocomplex,X1,X2),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_219,c_0_214]),c_0_86])]) ).

cnf(c_0_235,negated_conjecture,
    ( X1 = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
    | c_Polynomial_Osmult(tc_Complex_Ocomplex,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X1,X1)),c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,v_a,v_a),v_a)),c_Polynomial_Osmult(tc_Complex_Ocomplex,v_a,v_q)) != v_q ),
    inference(spm,[status(thm)],[c_0_230,c_0_132]) ).

cnf(c_0_236,plain,
    c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,v_a,v_a) = v_a,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_232,c_0_233]),c_0_233]),c_0_71]),c_0_233]),c_0_71]),c_0_233]),c_0_233]),c_0_71]),c_0_233])]) ).

cnf(c_0_237,plain,
    c_Polynomial_Osmult(tc_Complex_Ocomplex,v_a,c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,v_a,v_a),c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,v_a,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,v_a,v_a),v_a))),X1)) = c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,v_a,v_a),v_a),X1),
    inference(spm,[status(thm)],[c_0_234,c_0_229]) ).

cnf(c_0_238,negated_conjecture,
    c_Polynomial_Osmult(tc_Complex_Ocomplex,v_a,c_Polynomial_Osmult(tc_Complex_Ocomplex,v_a,v_q)) != v_q,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_235,c_0_236]),c_0_132]),c_0_236]),c_0_64]) ).

cnf(c_0_239,plain,
    c_Polynomial_Osmult(tc_Complex_Ocomplex,v_a,X1) = X1,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_237,c_0_233]),c_0_71]),c_0_233]),c_0_85]),c_0_233]),c_0_85]) ).

cnf(c_0_240,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_238,c_0_239]),c_0_239])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SWW291+1 : TPTP v8.2.0. Released v5.2.0.
% 0.03/0.13  % Command    : run_E %s %d THM
% 0.13/0.34  % Computer : n014.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   : Sat May 18 20:21:38 EDT 2024
% 0.13/0.34  % CPUTime    : 
% 0.19/0.47  Running first-order theorem proving
% 0.19/0.47  Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 155.07/20.18  # Version: 3.1.0
% 155.07/20.18  # Preprocessing class: FMLMSMSMSSSNFFN.
% 155.07/20.18  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 155.07/20.18  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 155.07/20.18  # Starting new_bool_3 with 300s (1) cores
% 155.07/20.18  # Starting new_bool_1 with 300s (1) cores
% 155.07/20.18  # Starting sh5l with 300s (1) cores
% 155.07/20.18  # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 18747 completed with status 0
% 155.07/20.18  # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 155.07/20.18  # Preprocessing class: FMLMSMSMSSSNFFN.
% 155.07/20.18  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 155.07/20.18  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 155.07/20.18  # No SInE strategy applied
% 155.07/20.18  # Search class: FGHSM-SMLM32-DFFFFFNN
% 155.07/20.18  # Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 155.07/20.18  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S0Y with 113s (1) cores
% 155.07/20.18  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 155.07/20.18  # Starting G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with 113s (1) cores
% 155.07/20.18  # Starting G-E--_208_B07CMA_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 113s (1) cores
% 155.07/20.18  # Starting G-E--_208_B00_00_F1_SE_CS_SP_PS_S5PRR_S00EN with 113s (1) cores
% 155.07/20.18  # G-E--_208_B00_00_F1_SE_CS_SP_PS_S5PRR_S00EN with pid 18758 completed with status 0
% 155.07/20.18  # Result found by G-E--_208_B00_00_F1_SE_CS_SP_PS_S5PRR_S00EN
% 155.07/20.18  # Preprocessing class: FMLMSMSMSSSNFFN.
% 155.07/20.18  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 155.07/20.18  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 155.07/20.18  # No SInE strategy applied
% 155.07/20.18  # Search class: FGHSM-SMLM32-DFFFFFNN
% 155.07/20.18  # Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 155.07/20.18  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S0Y with 113s (1) cores
% 155.07/20.18  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 155.07/20.18  # Starting G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with 113s (1) cores
% 155.07/20.18  # Starting G-E--_208_B07CMA_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 113s (1) cores
% 155.07/20.18  # Starting G-E--_208_B00_00_F1_SE_CS_SP_PS_S5PRR_S00EN with 113s (1) cores
% 155.07/20.18  # Preprocessing time       : 0.026 s
% 155.07/20.18  # Presaturation interreduction done
% 155.07/20.18  
% 155.07/20.18  # Proof found!
% 155.07/20.18  # SZS status Theorem
% 155.07/20.18  # SZS output start CNFRefutation
% See solution above
% 155.07/20.18  # Parsed axioms                        : 1211
% 155.07/20.18  # Removed by relevancy pruning/SinE    : 0
% 155.07/20.18  # Initial clauses                      : 1793
% 155.07/20.18  # Removed in clause preprocessing      : 122
% 155.07/20.18  # Initial clauses in saturation        : 1671
% 155.07/20.18  # Processed clauses                    : 46691
% 155.07/20.18  # ...of these trivial                  : 2783
% 155.07/20.18  # ...subsumed                          : 30706
% 155.07/20.18  # ...remaining for further processing  : 13202
% 155.07/20.18  # Other redundant clauses eliminated   : 4510
% 155.07/20.18  # Clauses deleted for lack of memory   : 0
% 155.07/20.18  # Backward-subsumed                    : 196
% 155.07/20.18  # Backward-rewritten                   : 3240
% 155.07/20.18  # Generated clauses                    : 1075512
% 155.07/20.18  # ...of the previous two non-redundant : 995014
% 155.07/20.18  # ...aggressively subsumed             : 0
% 155.07/20.18  # Contextual simplify-reflections      : 8
% 155.07/20.18  # Paramodulations                      : 1070490
% 155.07/20.18  # Factorizations                       : 365
% 155.07/20.18  # NegExts                              : 0
% 155.07/20.18  # Equation resolutions                 : 4661
% 155.07/20.18  # Disequality decompositions           : 0
% 155.07/20.18  # Total rewrite steps                  : 1701073
% 155.07/20.18  # ...of those cached                   : 1624250
% 155.07/20.18  # Propositional unsat checks           : 0
% 155.07/20.18  #    Propositional check models        : 0
% 155.07/20.18  #    Propositional check unsatisfiable : 0
% 155.07/20.18  #    Propositional clauses             : 0
% 155.07/20.18  #    Propositional clauses after purity: 0
% 155.07/20.18  #    Propositional unsat core size     : 0
% 155.07/20.18  #    Propositional preprocessing time  : 0.000
% 155.07/20.18  #    Propositional encoding time       : 0.000
% 155.07/20.18  #    Propositional solver time         : 0.000
% 155.07/20.18  #    Success case prop preproc time    : 0.000
% 155.07/20.18  #    Success case prop encoding time   : 0.000
% 155.07/20.18  #    Success case prop solver time     : 0.000
% 155.07/20.18  # Current number of processed clauses  : 8335
% 155.07/20.18  #    Positive orientable unit clauses  : 5042
% 155.07/20.18  #    Positive unorientable unit clauses: 239
% 155.07/20.18  #    Negative unit clauses             : 687
% 155.07/20.18  #    Non-unit-clauses                  : 2367
% 155.07/20.18  # Current number of unprocessed clauses: 908494
% 155.07/20.18  # ...number of literals in the above   : 2174553
% 155.07/20.18  # Current number of archived formulas  : 0
% 155.07/20.18  # Current number of archived clauses   : 4706
% 155.07/20.18  # Clause-clause subsumption calls (NU) : 1203500
% 155.07/20.18  # Rec. Clause-clause subsumption calls : 971044
% 155.07/20.18  # Non-unit clause-clause subsumptions  : 11908
% 155.07/20.18  # Unit Clause-clause subsumption calls : 81352
% 155.07/20.18  # Rewrite failures with RHS unbound    : 54703
% 155.07/20.18  # BW rewrite match attempts            : 210373
% 155.07/20.18  # BW rewrite match successes           : 5003
% 155.07/20.18  # Condensation attempts                : 0
% 155.07/20.18  # Condensation successes               : 0
% 155.07/20.18  # Termbank termtop insertions          : 41477087
% 155.07/20.18  # Search garbage collected termcells   : 22851
% 155.07/20.18  
% 155.07/20.18  # -------------------------------------------------
% 155.07/20.18  # User time                : 18.662 s
% 155.07/20.18  # System time              : 0.518 s
% 155.07/20.18  # Total time               : 19.179 s
% 155.07/20.18  # Maximum resident set size: 8660 pages
% 155.07/20.18  
% 155.07/20.18  # -------------------------------------------------
% 155.07/20.18  # User time                : 93.259 s
% 155.07/20.18  # System time              : 3.007 s
% 155.07/20.18  # Total time               : 96.266 s
% 155.07/20.18  # Maximum resident set size: 3100 pages
% 155.07/20.18  % E---3.1 exiting
% 155.07/20.18  % E exiting
%------------------------------------------------------------------------------