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Prover9---2026-6A.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Prover9---2026-6A
% Problem  : ALG214+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n004.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Sun Sep 27 06:49:47 AM UTC 2026

% Result   : Theorem 2.20s 0.73s
% Output   : CNFRefutation 2.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   45
%            Number of leaves      :    3
% Syntax   : Number of formulae    :  138 (  28 unt;   0 def)
%            Number of atoms       : 1465 ( 100 equ)
%            Maximal formula atoms :   82 (  10 avg)
%            Number of connectives : 2409 (1082   ~;1192   |; 113   &)
%                                         (   1 <=>;  21  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   28 (  10 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   18 (  16 usr;   1 prp; 0-4 aty)
%            Number of functors    :   11 (  11 usr;   5 con; 0-3 aty)
%            Number of variables   :  201 (   0 sgn  38   !;   5   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(d1_rmod_5,axiom,
    ! [A] :
      ( ( l3_vectsp_1(A)
        & v8_vectsp_1(A)
        & v7_vectsp_1(A)
        & v6_vectsp_1(A)
        & v4_group_1(A)
        & v6_rlvect_1(A)
        & v5_rlvect_1(A)
        & v4_rlvect_1(A)
        & v3_rlvect_1(A)
        & ~ v3_struct_0(A) )
     => ! [B] :
          ( ( l1_vectsp_2(B,A)
            & v5_vectsp_2(B,A)
            & v6_rlvect_1(B)
            & v5_rlvect_1(B)
            & v4_rlvect_1(B)
            & v3_rlvect_1(B)
            & ~ v3_struct_0(B) )
         => ! [C] :
              ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B)))
             => ( v1_rmod_5(C,A,B)
              <=> ! [D] :
                    ( m2_rmod_4(D,A,B,C)
                   => ( k5_rmod_4(A,B,D) = k1_rlvect_1(B)
                     => k2_rmod_4(A,B,D) = k1_xboole_0 ) ) ) ) ) ),
    file('theBenchmark.p',d1_rmod_5) ).

fof(t25_rmod_4,axiom,
    ! [A] :
      ( ( l3_vectsp_1(A)
        & v8_vectsp_1(A)
        & v7_vectsp_1(A)
        & v6_vectsp_1(A)
        & v4_group_1(A)
        & v6_rlvect_1(A)
        & v5_rlvect_1(A)
        & v4_rlvect_1(A)
        & v3_rlvect_1(A)
        & ~ v3_struct_0(A) )
     => ! [B] :
          ( ( l1_vectsp_2(B,A)
            & v5_vectsp_2(B,A)
            & v6_rlvect_1(B)
            & v5_rlvect_1(B)
            & v4_rlvect_1(B)
            & v3_rlvect_1(B)
            & ~ v3_struct_0(B) )
         => ! [C] :
              ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B)))
             => ! [D] :
                  ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B)))
                 => ! [E] :
                      ( m2_rmod_4(E,A,B,C)
                     => ( r1_tarski(C,D)
                       => m2_rmod_4(E,A,B,D) ) ) ) ) ) ),
    file('theBenchmark.p',t25_rmod_4) ).

fof(t2_rmod_5,conjecture,
    ! [A] :
      ( ( l3_vectsp_1(A)
        & v8_vectsp_1(A)
        & v7_vectsp_1(A)
        & v6_vectsp_1(A)
        & v4_group_1(A)
        & v6_rlvect_1(A)
        & v5_rlvect_1(A)
        & v4_rlvect_1(A)
        & v3_rlvect_1(A)
        & ~ v3_struct_0(A) )
     => ! [B] :
          ( ( l1_vectsp_2(B,A)
            & v5_vectsp_2(B,A)
            & v6_rlvect_1(B)
            & v5_rlvect_1(B)
            & v4_rlvect_1(B)
            & v3_rlvect_1(B)
            & ~ v3_struct_0(B) )
         => ! [C] :
              ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B)))
             => ! [D] :
                  ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B)))
                 => ( ( v1_rmod_5(D,A,B)
                      & r1_tarski(C,D) )
                   => v1_rmod_5(C,A,B) ) ) ) ) ),
    file('theBenchmark.p',t2_rmod_5) ).

fof(t2_rmod_5_neg,negated_conjecture,
    ~ ! [A] :
        ( ( l3_vectsp_1(A)
          & v8_vectsp_1(A)
          & v7_vectsp_1(A)
          & v6_vectsp_1(A)
          & v4_group_1(A)
          & v6_rlvect_1(A)
          & v5_rlvect_1(A)
          & v4_rlvect_1(A)
          & v3_rlvect_1(A)
          & ~ v3_struct_0(A) )
       => ! [B] :
            ( ( l1_vectsp_2(B,A)
              & v5_vectsp_2(B,A)
              & v6_rlvect_1(B)
              & v5_rlvect_1(B)
              & v4_rlvect_1(B)
              & v3_rlvect_1(B)
              & ~ v3_struct_0(B) )
           => ! [C] :
                ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B)))
               => ! [D] :
                    ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B)))
                   => ( ( v1_rmod_5(D,A,B)
                        & r1_tarski(C,D) )
                     => v1_rmod_5(C,A,B) ) ) ) ) ),
    inference(assume_negation,[status(cth)],[t2_rmod_5]) ).

fof(nnf_74,plain,
    ? [A] :
      ( ? [B] :
          ( ? [C] :
              ( ? [D] :
                  ( ~ v1_rmod_5(C,A,B)
                  & v1_rmod_5(D,A,B)
                  & r1_tarski(C,D)
                  & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) )
              & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) )
          & l1_vectsp_2(B,A)
          & v5_vectsp_2(B,A)
          & v6_rlvect_1(B)
          & v5_rlvect_1(B)
          & v4_rlvect_1(B)
          & v3_rlvect_1(B)
          & ~ v3_struct_0(B) )
      & l3_vectsp_1(A)
      & v8_vectsp_1(A)
      & v7_vectsp_1(A)
      & v6_vectsp_1(A)
      & v4_group_1(A)
      & v6_rlvect_1(A)
      & v5_rlvect_1(A)
      & v4_rlvect_1(A)
      & v3_rlvect_1(A)
      & ~ v3_struct_0(A) ),
    inference(fof_nnf,[status(thm)],[t2_rmod_5_neg]) ).

fof(sk_t2_rmod_5_neg,plain,
    ( ~ v1_rmod_5(sK2,sK0,sK4)
    & v1_rmod_5(sK3,sK0,sK4)
    & r1_tarski(sK2,sK3)
    & m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK4)))
    & m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK4)))
    & l1_vectsp_2(sK4,sK0)
    & v5_vectsp_2(sK4,sK0)
    & v6_rlvect_1(sK4)
    & v5_rlvect_1(sK4)
    & v4_rlvect_1(sK4)
    & v3_rlvect_1(sK4)
    & ~ v3_struct_0(sK4)
    & l3_vectsp_1(sK0)
    & v8_vectsp_1(sK0)
    & v7_vectsp_1(sK0)
    & v6_vectsp_1(sK0)
    & v4_group_1(sK0)
    & v6_rlvect_1(sK0)
    & v5_rlvect_1(sK0)
    & v4_rlvect_1(sK0)
    & v3_rlvect_1(sK0)
    & ~ v3_struct_0(sK0) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK4,sK2,sK3]),skolemize(A,sK0),skolemize(B,sK4),skolemize(C,sK2),skolemize(D,sK3)],[nnf_74]) ).

cnf(c_75,negated_conjecture,
    v4_group_1(sK0),
    inference(split_conjunct,[status(thm)],[sk_t2_rmod_5_neg]) ).

cnf(c_76,plain,
    ( m2_rmod_4(E,A,B,D)
    | ~ r1_tarski(C,D)
    | ~ m2_rmod_4(E,A,B,C)
    | ~ m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B)))
    | ~ m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B)))
    | ~ l1_vectsp_2(B,A)
    | ~ v5_vectsp_2(B,A)
    | ~ v6_rlvect_1(B)
    | ~ v5_rlvect_1(B)
    | ~ v4_rlvect_1(B)
    | ~ v3_rlvect_1(B)
    | v3_struct_0(B)
    | ~ l3_vectsp_1(A)
    | ~ v8_vectsp_1(A)
    | ~ v7_vectsp_1(A)
    | ~ v6_vectsp_1(A)
    | ~ v4_group_1(A)
    | ~ v6_rlvect_1(A)
    | ~ v5_rlvect_1(A)
    | ~ v4_rlvect_1(A)
    | ~ v3_rlvect_1(A)
    | v3_struct_0(A) ),
    inference(clausify,[status(thm)],[t25_rmod_4]) ).

fof(nnf_3,plain,
    ! [A] :
      ( ! [B] :
          ( ! [C] :
              ( ( ( ? [D] :
                      ( k2_rmod_4(A,B,D) != k1_xboole_0
                      & k1_rlvect_1(B) = k5_rmod_4(A,B,D)
                      & m2_rmod_4(D,A,B,C) )
                  | v1_rmod_5(C,A,B) )
                & ( ! [X0] :
                      ( k2_rmod_4(A,B,X0) = k1_xboole_0
                      | k1_rlvect_1(B) != k5_rmod_4(A,B,X0)
                      | ~ m2_rmod_4(X0,A,B,C) )
                  | ~ v1_rmod_5(C,A,B) ) )
              | ~ m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) )
          | ~ l1_vectsp_2(B,A)
          | ~ v5_vectsp_2(B,A)
          | ~ v6_rlvect_1(B)
          | ~ v5_rlvect_1(B)
          | ~ v4_rlvect_1(B)
          | ~ v3_rlvect_1(B)
          | v3_struct_0(B) )
      | ~ l3_vectsp_1(A)
      | ~ v8_vectsp_1(A)
      | ~ v7_vectsp_1(A)
      | ~ v6_vectsp_1(A)
      | ~ v4_group_1(A)
      | ~ v6_rlvect_1(A)
      | ~ v5_rlvect_1(A)
      | ~ v4_rlvect_1(A)
      | ~ v3_rlvect_1(A)
      | v3_struct_0(A) ),
    inference(fof_nnf,[status(thm)],[d1_rmod_5]) ).

fof(sk_d1_rmod_5_sk,plain,
    ! [A] :
      ( ! [B] :
          ( ! [C] :
              ( ( ( ( k2_rmod_4(A,B,sK1(A,B,C)) != k1_xboole_0
                    & k1_rlvect_1(B) = k5_rmod_4(A,B,sK1(A,B,C))
                    & m2_rmod_4(sK1(A,B,C),A,B,C) )
                  | v1_rmod_5(C,A,B) )
                & ( ! [X0] :
                      ( k2_rmod_4(A,B,X0) = k1_xboole_0
                      | k1_rlvect_1(B) != k5_rmod_4(A,B,X0)
                      | ~ m2_rmod_4(X0,A,B,C) )
                  | ~ v1_rmod_5(C,A,B) ) )
              | ~ m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) )
          | ~ l1_vectsp_2(B,A)
          | ~ v5_vectsp_2(B,A)
          | ~ v6_rlvect_1(B)
          | ~ v5_rlvect_1(B)
          | ~ v4_rlvect_1(B)
          | ~ v3_rlvect_1(B)
          | v3_struct_0(B) )
      | ~ l3_vectsp_1(A)
      | ~ v8_vectsp_1(A)
      | ~ v7_vectsp_1(A)
      | ~ v6_vectsp_1(A)
      | ~ v4_group_1(A)
      | ~ v6_rlvect_1(A)
      | ~ v5_rlvect_1(A)
      | ~ v4_rlvect_1(A)
      | ~ v3_rlvect_1(A)
      | v3_struct_0(A) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(D,sK1(A,B,C))],[nnf_3]) ).

fof(sk_d1_rmod_5,plain,
    ( ! [VAR_0,VAR_1,VAR_2] :
        ( k2_rmod_4(VAR_0,VAR_1,sK1(VAR_0,VAR_1,VAR_2)) != k1_xboole_0
        | v1_rmod_5(VAR_2,VAR_0,VAR_1)
        | ~ m1_subset_1(VAR_2,k1_zfmisc_1(u1_struct_0(VAR_1)))
        | ~ l1_vectsp_2(VAR_1,VAR_0)
        | ~ v5_vectsp_2(VAR_1,VAR_0)
        | ~ v6_rlvect_1(VAR_1)
        | ~ v5_rlvect_1(VAR_1)
        | ~ v4_rlvect_1(VAR_1)
        | ~ v3_rlvect_1(VAR_1)
        | v3_struct_0(VAR_1)
        | ~ l3_vectsp_1(VAR_0)
        | ~ v8_vectsp_1(VAR_0)
        | ~ v7_vectsp_1(VAR_0)
        | ~ v6_vectsp_1(VAR_0)
        | ~ v4_group_1(VAR_0)
        | ~ v6_rlvect_1(VAR_0)
        | ~ v5_rlvect_1(VAR_0)
        | ~ v4_rlvect_1(VAR_0)
        | ~ v3_rlvect_1(VAR_0)
        | v3_struct_0(VAR_0) )
    & ! [VAR_0,VAR_1,VAR_2] :
        ( k1_rlvect_1(VAR_1) = k5_rmod_4(VAR_0,VAR_1,sK1(VAR_0,VAR_1,VAR_2))
        | v1_rmod_5(VAR_2,VAR_0,VAR_1)
        | ~ m1_subset_1(VAR_2,k1_zfmisc_1(u1_struct_0(VAR_1)))
        | ~ l1_vectsp_2(VAR_1,VAR_0)
        | ~ v5_vectsp_2(VAR_1,VAR_0)
        | ~ v6_rlvect_1(VAR_1)
        | ~ v5_rlvect_1(VAR_1)
        | ~ v4_rlvect_1(VAR_1)
        | ~ v3_rlvect_1(VAR_1)
        | v3_struct_0(VAR_1)
        | ~ l3_vectsp_1(VAR_0)
        | ~ v8_vectsp_1(VAR_0)
        | ~ v7_vectsp_1(VAR_0)
        | ~ v6_vectsp_1(VAR_0)
        | ~ v4_group_1(VAR_0)
        | ~ v6_rlvect_1(VAR_0)
        | ~ v5_rlvect_1(VAR_0)
        | ~ v4_rlvect_1(VAR_0)
        | ~ v3_rlvect_1(VAR_0)
        | v3_struct_0(VAR_0) )
    & ! [VAR_0,VAR_1,VAR_2] :
        ( m2_rmod_4(sK1(VAR_0,VAR_1,VAR_2),VAR_0,VAR_1,VAR_2)
        | v1_rmod_5(VAR_2,VAR_0,VAR_1)
        | ~ m1_subset_1(VAR_2,k1_zfmisc_1(u1_struct_0(VAR_1)))
        | ~ l1_vectsp_2(VAR_1,VAR_0)
        | ~ v5_vectsp_2(VAR_1,VAR_0)
        | ~ v6_rlvect_1(VAR_1)
        | ~ v5_rlvect_1(VAR_1)
        | ~ v4_rlvect_1(VAR_1)
        | ~ v3_rlvect_1(VAR_1)
        | v3_struct_0(VAR_1)
        | ~ l3_vectsp_1(VAR_0)
        | ~ v8_vectsp_1(VAR_0)
        | ~ v7_vectsp_1(VAR_0)
        | ~ v6_vectsp_1(VAR_0)
        | ~ v4_group_1(VAR_0)
        | ~ v6_rlvect_1(VAR_0)
        | ~ v5_rlvect_1(VAR_0)
        | ~ v4_rlvect_1(VAR_0)
        | ~ v3_rlvect_1(VAR_0)
        | v3_struct_0(VAR_0) )
    & ! [VAR_0,VAR_1,VAR_2,VAR_3] :
        ( k2_rmod_4(VAR_0,VAR_1,VAR_3) = k1_xboole_0
        | k1_rlvect_1(VAR_1) != k5_rmod_4(VAR_0,VAR_1,VAR_3)
        | ~ m2_rmod_4(VAR_3,VAR_0,VAR_1,VAR_2)
        | ~ v1_rmod_5(VAR_2,VAR_0,VAR_1)
        | ~ m1_subset_1(VAR_2,k1_zfmisc_1(u1_struct_0(VAR_1)))
        | ~ l1_vectsp_2(VAR_1,VAR_0)
        | ~ v5_vectsp_2(VAR_1,VAR_0)
        | ~ v6_rlvect_1(VAR_1)
        | ~ v5_rlvect_1(VAR_1)
        | ~ v4_rlvect_1(VAR_1)
        | ~ v3_rlvect_1(VAR_1)
        | v3_struct_0(VAR_1)
        | ~ l3_vectsp_1(VAR_0)
        | ~ v8_vectsp_1(VAR_0)
        | ~ v7_vectsp_1(VAR_0)
        | ~ v6_vectsp_1(VAR_0)
        | ~ v4_group_1(VAR_0)
        | ~ v6_rlvect_1(VAR_0)
        | ~ v5_rlvect_1(VAR_0)
        | ~ v4_rlvect_1(VAR_0)
        | ~ v3_rlvect_1(VAR_0)
        | v3_struct_0(VAR_0) ) ),
    inference(cnf_transformation,[status(thm)],[sk_d1_rmod_5_sk]) ).

cnf(c_89,plain,
    ( k2_rmod_4(A,B,sK1(A,B,C)) != k1_xboole_0
    | v1_rmod_5(C,A,B)
    | ~ m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B)))
    | ~ l1_vectsp_2(B,A)
    | ~ v5_vectsp_2(B,A)
    | ~ v6_rlvect_1(B)
    | ~ v5_rlvect_1(B)
    | ~ v4_rlvect_1(B)
    | ~ v3_rlvect_1(B)
    | v3_struct_0(B)
    | ~ l3_vectsp_1(A)
    | ~ v8_vectsp_1(A)
    | ~ v7_vectsp_1(A)
    | ~ v6_vectsp_1(A)
    | ~ v4_group_1(A)
    | ~ v6_rlvect_1(A)
    | ~ v5_rlvect_1(A)
    | ~ v4_rlvect_1(A)
    | ~ v3_rlvect_1(A)
    | v3_struct_0(A) ),
    inference(split_conjunct,[status(thm)],[sk_d1_rmod_5]) ).

cnf(c_90,plain,
    ( k1_rlvect_1(B) = k5_rmod_4(A,B,sK1(A,B,C))
    | v1_rmod_5(C,A,B)
    | ~ m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B)))
    | ~ l1_vectsp_2(B,A)
    | ~ v5_vectsp_2(B,A)
    | ~ v6_rlvect_1(B)
    | ~ v5_rlvect_1(B)
    | ~ v4_rlvect_1(B)
    | ~ v3_rlvect_1(B)
    | v3_struct_0(B)
    | ~ l3_vectsp_1(A)
    | ~ v8_vectsp_1(A)
    | ~ v7_vectsp_1(A)
    | ~ v6_vectsp_1(A)
    | ~ v4_group_1(A)
    | ~ v6_rlvect_1(A)
    | ~ v5_rlvect_1(A)
    | ~ v4_rlvect_1(A)
    | ~ v3_rlvect_1(A)
    | v3_struct_0(A) ),
    inference(split_conjunct,[status(thm)],[sk_d1_rmod_5]) ).

cnf(c_91,plain,
    ( m2_rmod_4(sK1(A,B,C),A,B,C)
    | v1_rmod_5(C,A,B)
    | ~ m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B)))
    | ~ l1_vectsp_2(B,A)
    | ~ v5_vectsp_2(B,A)
    | ~ v6_rlvect_1(B)
    | ~ v5_rlvect_1(B)
    | ~ v4_rlvect_1(B)
    | ~ v3_rlvect_1(B)
    | v3_struct_0(B)
    | ~ l3_vectsp_1(A)
    | ~ v8_vectsp_1(A)
    | ~ v7_vectsp_1(A)
    | ~ v6_vectsp_1(A)
    | ~ v4_group_1(A)
    | ~ v6_rlvect_1(A)
    | ~ v5_rlvect_1(A)
    | ~ v4_rlvect_1(A)
    | ~ v3_rlvect_1(A)
    | v3_struct_0(A) ),
    inference(split_conjunct,[status(thm)],[sk_d1_rmod_5]) ).

cnf(c_92,plain,
    ( k2_rmod_4(A,B,D) = k1_xboole_0
    | k1_rlvect_1(B) != k5_rmod_4(A,B,D)
    | ~ m2_rmod_4(D,A,B,C)
    | ~ v1_rmod_5(C,A,B)
    | ~ m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B)))
    | ~ l1_vectsp_2(B,A)
    | ~ v5_vectsp_2(B,A)
    | ~ v6_rlvect_1(B)
    | ~ v5_rlvect_1(B)
    | ~ v4_rlvect_1(B)
    | ~ v3_rlvect_1(B)
    | v3_struct_0(B)
    | ~ l3_vectsp_1(A)
    | ~ v8_vectsp_1(A)
    | ~ v7_vectsp_1(A)
    | ~ v6_vectsp_1(A)
    | ~ v4_group_1(A)
    | ~ v6_rlvect_1(A)
    | ~ v5_rlvect_1(A)
    | ~ v4_rlvect_1(A)
    | ~ v3_rlvect_1(A)
    | v3_struct_0(A) ),
    inference(split_conjunct,[status(thm)],[sk_d1_rmod_5]) ).

cnf(c_93,negated_conjecture,
    r1_tarski(sK2,sK3),
    inference(split_conjunct,[status(thm)],[sk_t2_rmod_5_neg]) ).

cnf(c_94,negated_conjecture,
    ( m2_rmod_4(D,sK0,A,C)
    | ~ r1_tarski(B,C)
    | ~ m2_rmod_4(D,sK0,A,B)
    | ~ m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A)))
    | ~ m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
    | ~ l1_vectsp_2(A,sK0)
    | ~ v5_vectsp_2(A,sK0)
    | ~ v6_rlvect_1(A)
    | ~ v5_rlvect_1(A)
    | ~ v4_rlvect_1(A)
    | ~ v3_rlvect_1(A)
    | v3_struct_0(A)
    | ~ l3_vectsp_1(sK0)
    | ~ v8_vectsp_1(sK0)
    | ~ v7_vectsp_1(sK0)
    | ~ v6_vectsp_1(sK0)
    | ~ v6_rlvect_1(sK0)
    | ~ v5_rlvect_1(sK0)
    | ~ v4_rlvect_1(sK0)
    | ~ v3_rlvect_1(sK0)
    | v3_struct_0(sK0) ),
    inference(resolve,[status(thm)],[c_75,c_76]) ).

cnf(c_300,negated_conjecture,
    ( k2_rmod_4(sK0,A,C) = k1_xboole_0
    | k1_rlvect_1(A) != k5_rmod_4(sK0,A,C)
    | ~ m2_rmod_4(C,sK0,A,B)
    | ~ v1_rmod_5(B,sK0,A)
    | ~ m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
    | ~ l1_vectsp_2(A,sK0)
    | ~ v5_vectsp_2(A,sK0)
    | ~ v6_rlvect_1(A)
    | ~ v5_rlvect_1(A)
    | ~ v4_rlvect_1(A)
    | ~ v3_rlvect_1(A)
    | v3_struct_0(A)
    | ~ l3_vectsp_1(sK0)
    | ~ v8_vectsp_1(sK0)
    | ~ v7_vectsp_1(sK0)
    | ~ v6_vectsp_1(sK0)
    | ~ v6_rlvect_1(sK0)
    | ~ v5_rlvect_1(sK0)
    | ~ v4_rlvect_1(sK0)
    | ~ v3_rlvect_1(sK0)
    | v3_struct_0(sK0) ),
    inference(resolve,[status(thm)],[c_75,c_92]) ).

cnf(c_301,negated_conjecture,
    ( k2_rmod_4(sK0,A,C) = k1_xboole_0
    | k5_rmod_4(sK0,A,C) != k1_rlvect_1(A)
    | ~ m2_rmod_4(C,sK0,A,B)
    | ~ v1_rmod_5(B,sK0,A)
    | ~ m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
    | ~ l1_vectsp_2(A,sK0)
    | ~ v5_vectsp_2(A,sK0)
    | ~ v6_rlvect_1(A)
    | ~ v5_rlvect_1(A)
    | ~ v4_rlvect_1(A)
    | ~ v3_rlvect_1(A)
    | v3_struct_0(A)
    | ~ l3_vectsp_1(sK0)
    | ~ v8_vectsp_1(sK0)
    | ~ v7_vectsp_1(sK0)
    | ~ v6_vectsp_1(sK0)
    | ~ v6_rlvect_1(sK0)
    | ~ v5_rlvect_1(sK0)
    | ~ v4_rlvect_1(sK0)
    | ~ v3_rlvect_1(sK0)
    | v3_struct_0(sK0) ),
    inference(copy,[status(thm)],[c_300]) ).

cnf(c_302,negated_conjecture,
    ( m2_rmod_4(sK1(sK0,A,B),sK0,A,B)
    | v1_rmod_5(B,sK0,A)
    | ~ m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
    | ~ l1_vectsp_2(A,sK0)
    | ~ v5_vectsp_2(A,sK0)
    | ~ v6_rlvect_1(A)
    | ~ v5_rlvect_1(A)
    | ~ v4_rlvect_1(A)
    | ~ v3_rlvect_1(A)
    | v3_struct_0(A)
    | ~ l3_vectsp_1(sK0)
    | ~ v8_vectsp_1(sK0)
    | ~ v7_vectsp_1(sK0)
    | ~ v6_vectsp_1(sK0)
    | ~ v6_rlvect_1(sK0)
    | ~ v5_rlvect_1(sK0)
    | ~ v4_rlvect_1(sK0)
    | ~ v3_rlvect_1(sK0)
    | v3_struct_0(sK0) ),
    inference(resolve,[status(thm)],[c_75,c_91]) ).

cnf(c_303,negated_conjecture,
    ( k1_rlvect_1(A) = k5_rmod_4(sK0,A,sK1(sK0,A,B))
    | v1_rmod_5(B,sK0,A)
    | ~ m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
    | ~ l1_vectsp_2(A,sK0)
    | ~ v5_vectsp_2(A,sK0)
    | ~ v6_rlvect_1(A)
    | ~ v5_rlvect_1(A)
    | ~ v4_rlvect_1(A)
    | ~ v3_rlvect_1(A)
    | v3_struct_0(A)
    | ~ l3_vectsp_1(sK0)
    | ~ v8_vectsp_1(sK0)
    | ~ v7_vectsp_1(sK0)
    | ~ v6_vectsp_1(sK0)
    | ~ v6_rlvect_1(sK0)
    | ~ v5_rlvect_1(sK0)
    | ~ v4_rlvect_1(sK0)
    | ~ v3_rlvect_1(sK0)
    | v3_struct_0(sK0) ),
    inference(resolve,[status(thm)],[c_75,c_90]) ).

cnf(c_304,negated_conjecture,
    ( k5_rmod_4(sK0,A,sK1(sK0,A,B)) = k1_rlvect_1(A)
    | v1_rmod_5(B,sK0,A)
    | ~ m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
    | ~ l1_vectsp_2(A,sK0)
    | ~ v5_vectsp_2(A,sK0)
    | ~ v6_rlvect_1(A)
    | ~ v5_rlvect_1(A)
    | ~ v4_rlvect_1(A)
    | ~ v3_rlvect_1(A)
    | v3_struct_0(A)
    | ~ l3_vectsp_1(sK0)
    | ~ v8_vectsp_1(sK0)
    | ~ v7_vectsp_1(sK0)
    | ~ v6_vectsp_1(sK0)
    | ~ v6_rlvect_1(sK0)
    | ~ v5_rlvect_1(sK0)
    | ~ v4_rlvect_1(sK0)
    | ~ v3_rlvect_1(sK0)
    | v3_struct_0(sK0) ),
    inference(copy,[status(thm)],[c_303]) ).

cnf(c_305,negated_conjecture,
    ( k2_rmod_4(sK0,A,sK1(sK0,A,B)) != k1_xboole_0
    | v1_rmod_5(B,sK0,A)
    | ~ m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
    | ~ l1_vectsp_2(A,sK0)
    | ~ v5_vectsp_2(A,sK0)
    | ~ v6_rlvect_1(A)
    | ~ v5_rlvect_1(A)
    | ~ v4_rlvect_1(A)
    | ~ v3_rlvect_1(A)
    | v3_struct_0(A)
    | ~ l3_vectsp_1(sK0)
    | ~ v8_vectsp_1(sK0)
    | ~ v7_vectsp_1(sK0)
    | ~ v6_vectsp_1(sK0)
    | ~ v6_rlvect_1(sK0)
    | ~ v5_rlvect_1(sK0)
    | ~ v4_rlvect_1(sK0)
    | ~ v3_rlvect_1(sK0)
    | v3_struct_0(sK0) ),
    inference(resolve,[status(thm)],[c_75,c_89]) ).

cnf(c_318,negated_conjecture,
    ~ v1_rmod_5(sK2,sK0,sK4),
    inference(split_conjunct,[status(thm)],[sk_t2_rmod_5_neg]) ).

cnf(c_319,negated_conjecture,
    v1_rmod_5(sK3,sK0,sK4),
    inference(split_conjunct,[status(thm)],[sk_t2_rmod_5_neg]) ).

cnf(c_320,negated_conjecture,
    m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK4))),
    inference(split_conjunct,[status(thm)],[sk_t2_rmod_5_neg]) ).

cnf(c_321,negated_conjecture,
    m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK4))),
    inference(split_conjunct,[status(thm)],[sk_t2_rmod_5_neg]) ).

cnf(c_322,negated_conjecture,
    l1_vectsp_2(sK4,sK0),
    inference(split_conjunct,[status(thm)],[sk_t2_rmod_5_neg]) ).

cnf(c_323,negated_conjecture,
    v5_vectsp_2(sK4,sK0),
    inference(split_conjunct,[status(thm)],[sk_t2_rmod_5_neg]) ).

cnf(c_324,negated_conjecture,
    v6_rlvect_1(sK4),
    inference(split_conjunct,[status(thm)],[sk_t2_rmod_5_neg]) ).

cnf(c_325,negated_conjecture,
    v5_rlvect_1(sK4),
    inference(split_conjunct,[status(thm)],[sk_t2_rmod_5_neg]) ).

cnf(c_326,negated_conjecture,
    v4_rlvect_1(sK4),
    inference(split_conjunct,[status(thm)],[sk_t2_rmod_5_neg]) ).

cnf(c_327,negated_conjecture,
    v3_rlvect_1(sK4),
    inference(split_conjunct,[status(thm)],[sk_t2_rmod_5_neg]) ).

cnf(c_328,negated_conjecture,
    ~ v3_struct_0(sK4),
    inference(split_conjunct,[status(thm)],[sk_t2_rmod_5_neg]) ).

cnf(c_329,negated_conjecture,
    l3_vectsp_1(sK0),
    inference(split_conjunct,[status(thm)],[sk_t2_rmod_5_neg]) ).

cnf(c_330,negated_conjecture,
    v8_vectsp_1(sK0),
    inference(split_conjunct,[status(thm)],[sk_t2_rmod_5_neg]) ).

cnf(c_331,negated_conjecture,
    v7_vectsp_1(sK0),
    inference(split_conjunct,[status(thm)],[sk_t2_rmod_5_neg]) ).

cnf(c_332,negated_conjecture,
    v6_vectsp_1(sK0),
    inference(split_conjunct,[status(thm)],[sk_t2_rmod_5_neg]) ).

cnf(c_333,negated_conjecture,
    v6_rlvect_1(sK0),
    inference(split_conjunct,[status(thm)],[sk_t2_rmod_5_neg]) ).

cnf(c_334,negated_conjecture,
    v5_rlvect_1(sK0),
    inference(split_conjunct,[status(thm)],[sk_t2_rmod_5_neg]) ).

cnf(c_335,negated_conjecture,
    v4_rlvect_1(sK0),
    inference(split_conjunct,[status(thm)],[sk_t2_rmod_5_neg]) ).

cnf(c_336,negated_conjecture,
    v3_rlvect_1(sK0),
    inference(split_conjunct,[status(thm)],[sk_t2_rmod_5_neg]) ).

cnf(c_337,negated_conjecture,
    ~ v3_struct_0(sK0),
    inference(split_conjunct,[status(thm)],[sk_t2_rmod_5_neg]) ).

cnf(c_364,negated_conjecture,
    ( m2_rmod_4(B,sK0,A,sK3)
    | ~ m2_rmod_4(B,sK0,A,sK2)
    | ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(A)))
    | ~ m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(A)))
    | ~ l1_vectsp_2(A,sK0)
    | ~ v5_vectsp_2(A,sK0)
    | ~ v6_rlvect_1(A)
    | ~ v5_rlvect_1(A)
    | ~ v4_rlvect_1(A)
    | ~ v3_rlvect_1(A)
    | v3_struct_0(A)
    | ~ l3_vectsp_1(sK0)
    | ~ v8_vectsp_1(sK0)
    | ~ v7_vectsp_1(sK0)
    | ~ v6_vectsp_1(sK0)
    | ~ v6_rlvect_1(sK0)
    | ~ v5_rlvect_1(sK0)
    | ~ v4_rlvect_1(sK0)
    | ~ v3_rlvect_1(sK0)
    | v3_struct_0(sK0) ),
    inference(resolve,[status(thm)],[c_93,c_94]) ).

cnf(c_2515,negated_conjecture,
    ( m2_rmod_4(B,sK0,A,sK3)
    | ~ m2_rmod_4(B,sK0,A,sK2)
    | ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(A)))
    | ~ m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(A)))
    | ~ l1_vectsp_2(A,sK0)
    | ~ v5_vectsp_2(A,sK0)
    | ~ v6_rlvect_1(A)
    | ~ v5_rlvect_1(A)
    | ~ v4_rlvect_1(A)
    | ~ v3_rlvect_1(A)
    | v3_struct_0(A)
    | ~ l3_vectsp_1(sK0)
    | ~ v8_vectsp_1(sK0)
    | ~ v7_vectsp_1(sK0)
    | ~ v6_vectsp_1(sK0)
    | ~ v6_rlvect_1(sK0)
    | ~ v5_rlvect_1(sK0)
    | ~ v4_rlvect_1(sK0)
    | ~ v3_rlvect_1(sK0) ),
    inference(resolve,[status(thm)],[c_337,c_364]) ).

cnf(c_2516,negated_conjecture,
    ( m2_rmod_4(B,sK0,A,sK3)
    | ~ m2_rmod_4(B,sK0,A,sK2)
    | ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(A)))
    | ~ m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(A)))
    | ~ l1_vectsp_2(A,sK0)
    | ~ v5_vectsp_2(A,sK0)
    | ~ v6_rlvect_1(A)
    | ~ v5_rlvect_1(A)
    | ~ v4_rlvect_1(A)
    | ~ v3_rlvect_1(A)
    | v3_struct_0(A)
    | ~ l3_vectsp_1(sK0)
    | ~ v8_vectsp_1(sK0)
    | ~ v7_vectsp_1(sK0)
    | ~ v6_vectsp_1(sK0)
    | ~ v6_rlvect_1(sK0)
    | ~ v5_rlvect_1(sK0)
    | ~ v4_rlvect_1(sK0) ),
    inference(resolve,[status(thm)],[c_336,c_2515]) ).

cnf(c_2517,negated_conjecture,
    ( m2_rmod_4(B,sK0,A,sK3)
    | ~ m2_rmod_4(B,sK0,A,sK2)
    | ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(A)))
    | ~ m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(A)))
    | ~ l1_vectsp_2(A,sK0)
    | ~ v5_vectsp_2(A,sK0)
    | ~ v6_rlvect_1(A)
    | ~ v5_rlvect_1(A)
    | ~ v4_rlvect_1(A)
    | ~ v3_rlvect_1(A)
    | v3_struct_0(A)
    | ~ l3_vectsp_1(sK0)
    | ~ v8_vectsp_1(sK0)
    | ~ v7_vectsp_1(sK0)
    | ~ v6_vectsp_1(sK0)
    | ~ v6_rlvect_1(sK0)
    | ~ v5_rlvect_1(sK0) ),
    inference(resolve,[status(thm)],[c_335,c_2516]) ).

cnf(c_2518,negated_conjecture,
    ( m2_rmod_4(B,sK0,A,sK3)
    | ~ m2_rmod_4(B,sK0,A,sK2)
    | ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(A)))
    | ~ m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(A)))
    | ~ l1_vectsp_2(A,sK0)
    | ~ v5_vectsp_2(A,sK0)
    | ~ v6_rlvect_1(A)
    | ~ v5_rlvect_1(A)
    | ~ v4_rlvect_1(A)
    | ~ v3_rlvect_1(A)
    | v3_struct_0(A)
    | ~ l3_vectsp_1(sK0)
    | ~ v8_vectsp_1(sK0)
    | ~ v7_vectsp_1(sK0)
    | ~ v6_vectsp_1(sK0)
    | ~ v6_rlvect_1(sK0) ),
    inference(resolve,[status(thm)],[c_334,c_2517]) ).

cnf(c_2519,negated_conjecture,
    ( m2_rmod_4(B,sK0,A,sK3)
    | ~ m2_rmod_4(B,sK0,A,sK2)
    | ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(A)))
    | ~ m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(A)))
    | ~ l1_vectsp_2(A,sK0)
    | ~ v5_vectsp_2(A,sK0)
    | ~ v6_rlvect_1(A)
    | ~ v5_rlvect_1(A)
    | ~ v4_rlvect_1(A)
    | ~ v3_rlvect_1(A)
    | v3_struct_0(A)
    | ~ l3_vectsp_1(sK0)
    | ~ v8_vectsp_1(sK0)
    | ~ v7_vectsp_1(sK0)
    | ~ v6_vectsp_1(sK0) ),
    inference(resolve,[status(thm)],[c_333,c_2518]) ).

cnf(c_2520,negated_conjecture,
    ( m2_rmod_4(B,sK0,A,sK3)
    | ~ m2_rmod_4(B,sK0,A,sK2)
    | ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(A)))
    | ~ m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(A)))
    | ~ l1_vectsp_2(A,sK0)
    | ~ v5_vectsp_2(A,sK0)
    | ~ v6_rlvect_1(A)
    | ~ v5_rlvect_1(A)
    | ~ v4_rlvect_1(A)
    | ~ v3_rlvect_1(A)
    | v3_struct_0(A)
    | ~ l3_vectsp_1(sK0)
    | ~ v8_vectsp_1(sK0)
    | ~ v7_vectsp_1(sK0) ),
    inference(resolve,[status(thm)],[c_332,c_2519]) ).

cnf(c_2521,negated_conjecture,
    ( m2_rmod_4(B,sK0,A,sK3)
    | ~ m2_rmod_4(B,sK0,A,sK2)
    | ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(A)))
    | ~ m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(A)))
    | ~ l1_vectsp_2(A,sK0)
    | ~ v5_vectsp_2(A,sK0)
    | ~ v6_rlvect_1(A)
    | ~ v5_rlvect_1(A)
    | ~ v4_rlvect_1(A)
    | ~ v3_rlvect_1(A)
    | v3_struct_0(A)
    | ~ l3_vectsp_1(sK0)
    | ~ v8_vectsp_1(sK0) ),
    inference(resolve,[status(thm)],[c_331,c_2520]) ).

cnf(c_2522,negated_conjecture,
    ( m2_rmod_4(B,sK0,A,sK3)
    | ~ m2_rmod_4(B,sK0,A,sK2)
    | ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(A)))
    | ~ m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(A)))
    | ~ l1_vectsp_2(A,sK0)
    | ~ v5_vectsp_2(A,sK0)
    | ~ v6_rlvect_1(A)
    | ~ v5_rlvect_1(A)
    | ~ v4_rlvect_1(A)
    | ~ v3_rlvect_1(A)
    | v3_struct_0(A)
    | ~ l3_vectsp_1(sK0) ),
    inference(resolve,[status(thm)],[c_330,c_2521]) ).

cnf(c_365,negated_conjecture,
    ( m2_rmod_4(B,sK0,A,sK3)
    | ~ m2_rmod_4(B,sK0,A,sK2)
    | ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(A)))
    | ~ m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(A)))
    | ~ l1_vectsp_2(A,sK0)
    | ~ v5_vectsp_2(A,sK0)
    | ~ v6_rlvect_1(A)
    | ~ v5_rlvect_1(A)
    | ~ v4_rlvect_1(A)
    | ~ v3_rlvect_1(A)
    | v3_struct_0(A) ),
    inference(resolve,[status(thm)],[c_329,c_2522]) ).

cnf(c_2523,negated_conjecture,
    ( k2_rmod_4(sK0,A,sK1(sK0,A,B)) != k1_xboole_0
    | v1_rmod_5(B,sK0,A)
    | ~ m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
    | ~ l1_vectsp_2(A,sK0)
    | ~ v5_vectsp_2(A,sK0)
    | ~ v6_rlvect_1(A)
    | ~ v5_rlvect_1(A)
    | ~ v4_rlvect_1(A)
    | ~ v3_rlvect_1(A)
    | v3_struct_0(A)
    | ~ l3_vectsp_1(sK0)
    | ~ v8_vectsp_1(sK0)
    | ~ v7_vectsp_1(sK0)
    | ~ v6_vectsp_1(sK0)
    | ~ v6_rlvect_1(sK0)
    | ~ v5_rlvect_1(sK0)
    | ~ v4_rlvect_1(sK0)
    | ~ v3_rlvect_1(sK0) ),
    inference(resolve,[status(thm)],[c_337,c_305]) ).

cnf(c_2524,negated_conjecture,
    ( k2_rmod_4(sK0,A,sK1(sK0,A,B)) != k1_xboole_0
    | v1_rmod_5(B,sK0,A)
    | ~ m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
    | ~ l1_vectsp_2(A,sK0)
    | ~ v5_vectsp_2(A,sK0)
    | ~ v6_rlvect_1(A)
    | ~ v5_rlvect_1(A)
    | ~ v4_rlvect_1(A)
    | ~ v3_rlvect_1(A)
    | v3_struct_0(A)
    | ~ l3_vectsp_1(sK0)
    | ~ v8_vectsp_1(sK0)
    | ~ v7_vectsp_1(sK0)
    | ~ v6_vectsp_1(sK0)
    | ~ v6_rlvect_1(sK0)
    | ~ v5_rlvect_1(sK0)
    | ~ v4_rlvect_1(sK0) ),
    inference(resolve,[status(thm)],[c_336,c_2523]) ).

cnf(c_2525,negated_conjecture,
    ( k2_rmod_4(sK0,A,sK1(sK0,A,B)) != k1_xboole_0
    | v1_rmod_5(B,sK0,A)
    | ~ m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
    | ~ l1_vectsp_2(A,sK0)
    | ~ v5_vectsp_2(A,sK0)
    | ~ v6_rlvect_1(A)
    | ~ v5_rlvect_1(A)
    | ~ v4_rlvect_1(A)
    | ~ v3_rlvect_1(A)
    | v3_struct_0(A)
    | ~ l3_vectsp_1(sK0)
    | ~ v8_vectsp_1(sK0)
    | ~ v7_vectsp_1(sK0)
    | ~ v6_vectsp_1(sK0)
    | ~ v6_rlvect_1(sK0)
    | ~ v5_rlvect_1(sK0) ),
    inference(resolve,[status(thm)],[c_335,c_2524]) ).

cnf(c_2526,negated_conjecture,
    ( k2_rmod_4(sK0,A,sK1(sK0,A,B)) != k1_xboole_0
    | v1_rmod_5(B,sK0,A)
    | ~ m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
    | ~ l1_vectsp_2(A,sK0)
    | ~ v5_vectsp_2(A,sK0)
    | ~ v6_rlvect_1(A)
    | ~ v5_rlvect_1(A)
    | ~ v4_rlvect_1(A)
    | ~ v3_rlvect_1(A)
    | v3_struct_0(A)
    | ~ l3_vectsp_1(sK0)
    | ~ v8_vectsp_1(sK0)
    | ~ v7_vectsp_1(sK0)
    | ~ v6_vectsp_1(sK0)
    | ~ v6_rlvect_1(sK0) ),
    inference(resolve,[status(thm)],[c_334,c_2525]) ).

cnf(c_2527,negated_conjecture,
    ( k2_rmod_4(sK0,A,sK1(sK0,A,B)) != k1_xboole_0
    | v1_rmod_5(B,sK0,A)
    | ~ m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
    | ~ l1_vectsp_2(A,sK0)
    | ~ v5_vectsp_2(A,sK0)
    | ~ v6_rlvect_1(A)
    | ~ v5_rlvect_1(A)
    | ~ v4_rlvect_1(A)
    | ~ v3_rlvect_1(A)
    | v3_struct_0(A)
    | ~ l3_vectsp_1(sK0)
    | ~ v8_vectsp_1(sK0)
    | ~ v7_vectsp_1(sK0)
    | ~ v6_vectsp_1(sK0) ),
    inference(resolve,[status(thm)],[c_333,c_2526]) ).

cnf(c_2528,negated_conjecture,
    ( k2_rmod_4(sK0,A,sK1(sK0,A,B)) != k1_xboole_0
    | v1_rmod_5(B,sK0,A)
    | ~ m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
    | ~ l1_vectsp_2(A,sK0)
    | ~ v5_vectsp_2(A,sK0)
    | ~ v6_rlvect_1(A)
    | ~ v5_rlvect_1(A)
    | ~ v4_rlvect_1(A)
    | ~ v3_rlvect_1(A)
    | v3_struct_0(A)
    | ~ l3_vectsp_1(sK0)
    | ~ v8_vectsp_1(sK0)
    | ~ v7_vectsp_1(sK0) ),
    inference(resolve,[status(thm)],[c_332,c_2527]) ).

cnf(c_2529,negated_conjecture,
    ( k2_rmod_4(sK0,A,sK1(sK0,A,B)) != k1_xboole_0
    | v1_rmod_5(B,sK0,A)
    | ~ m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
    | ~ l1_vectsp_2(A,sK0)
    | ~ v5_vectsp_2(A,sK0)
    | ~ v6_rlvect_1(A)
    | ~ v5_rlvect_1(A)
    | ~ v4_rlvect_1(A)
    | ~ v3_rlvect_1(A)
    | v3_struct_0(A)
    | ~ l3_vectsp_1(sK0)
    | ~ v8_vectsp_1(sK0) ),
    inference(resolve,[status(thm)],[c_331,c_2528]) ).

cnf(c_2530,negated_conjecture,
    ( k2_rmod_4(sK0,A,sK1(sK0,A,B)) != k1_xboole_0
    | v1_rmod_5(B,sK0,A)
    | ~ m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
    | ~ l1_vectsp_2(A,sK0)
    | ~ v5_vectsp_2(A,sK0)
    | ~ v6_rlvect_1(A)
    | ~ v5_rlvect_1(A)
    | ~ v4_rlvect_1(A)
    | ~ v3_rlvect_1(A)
    | v3_struct_0(A)
    | ~ l3_vectsp_1(sK0) ),
    inference(resolve,[status(thm)],[c_330,c_2529]) ).

cnf(c_428,negated_conjecture,
    ( k2_rmod_4(sK0,A,sK1(sK0,A,B)) != k1_xboole_0
    | v1_rmod_5(B,sK0,A)
    | ~ m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
    | ~ l1_vectsp_2(A,sK0)
    | ~ v5_vectsp_2(A,sK0)
    | ~ v6_rlvect_1(A)
    | ~ v5_rlvect_1(A)
    | ~ v4_rlvect_1(A)
    | ~ v3_rlvect_1(A)
    | v3_struct_0(A) ),
    inference(resolve,[status(thm)],[c_329,c_2530]) ).

cnf(c_2531,negated_conjecture,
    ( k5_rmod_4(sK0,A,sK1(sK0,A,B)) = k1_rlvect_1(A)
    | v1_rmod_5(B,sK0,A)
    | ~ m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
    | ~ l1_vectsp_2(A,sK0)
    | ~ v5_vectsp_2(A,sK0)
    | ~ v6_rlvect_1(A)
    | ~ v5_rlvect_1(A)
    | ~ v4_rlvect_1(A)
    | ~ v3_rlvect_1(A)
    | v3_struct_0(A)
    | ~ l3_vectsp_1(sK0)
    | ~ v8_vectsp_1(sK0)
    | ~ v7_vectsp_1(sK0)
    | ~ v6_vectsp_1(sK0)
    | ~ v6_rlvect_1(sK0)
    | ~ v5_rlvect_1(sK0)
    | ~ v4_rlvect_1(sK0)
    | ~ v3_rlvect_1(sK0) ),
    inference(resolve,[status(thm)],[c_337,c_304]) ).

cnf(c_2532,negated_conjecture,
    ( k5_rmod_4(sK0,A,sK1(sK0,A,B)) = k1_rlvect_1(A)
    | v1_rmod_5(B,sK0,A)
    | ~ m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
    | ~ l1_vectsp_2(A,sK0)
    | ~ v5_vectsp_2(A,sK0)
    | ~ v6_rlvect_1(A)
    | ~ v5_rlvect_1(A)
    | ~ v4_rlvect_1(A)
    | ~ v3_rlvect_1(A)
    | v3_struct_0(A)
    | ~ l3_vectsp_1(sK0)
    | ~ v8_vectsp_1(sK0)
    | ~ v7_vectsp_1(sK0)
    | ~ v6_vectsp_1(sK0)
    | ~ v6_rlvect_1(sK0)
    | ~ v5_rlvect_1(sK0)
    | ~ v4_rlvect_1(sK0) ),
    inference(resolve,[status(thm)],[c_336,c_2531]) ).

cnf(c_2533,negated_conjecture,
    ( k5_rmod_4(sK0,A,sK1(sK0,A,B)) = k1_rlvect_1(A)
    | v1_rmod_5(B,sK0,A)
    | ~ m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
    | ~ l1_vectsp_2(A,sK0)
    | ~ v5_vectsp_2(A,sK0)
    | ~ v6_rlvect_1(A)
    | ~ v5_rlvect_1(A)
    | ~ v4_rlvect_1(A)
    | ~ v3_rlvect_1(A)
    | v3_struct_0(A)
    | ~ l3_vectsp_1(sK0)
    | ~ v8_vectsp_1(sK0)
    | ~ v7_vectsp_1(sK0)
    | ~ v6_vectsp_1(sK0)
    | ~ v6_rlvect_1(sK0)
    | ~ v5_rlvect_1(sK0) ),
    inference(resolve,[status(thm)],[c_335,c_2532]) ).

cnf(c_2534,negated_conjecture,
    ( k5_rmod_4(sK0,A,sK1(sK0,A,B)) = k1_rlvect_1(A)
    | v1_rmod_5(B,sK0,A)
    | ~ m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
    | ~ l1_vectsp_2(A,sK0)
    | ~ v5_vectsp_2(A,sK0)
    | ~ v6_rlvect_1(A)
    | ~ v5_rlvect_1(A)
    | ~ v4_rlvect_1(A)
    | ~ v3_rlvect_1(A)
    | v3_struct_0(A)
    | ~ l3_vectsp_1(sK0)
    | ~ v8_vectsp_1(sK0)
    | ~ v7_vectsp_1(sK0)
    | ~ v6_vectsp_1(sK0)
    | ~ v6_rlvect_1(sK0) ),
    inference(resolve,[status(thm)],[c_334,c_2533]) ).

cnf(c_2535,negated_conjecture,
    ( k5_rmod_4(sK0,A,sK1(sK0,A,B)) = k1_rlvect_1(A)
    | v1_rmod_5(B,sK0,A)
    | ~ m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
    | ~ l1_vectsp_2(A,sK0)
    | ~ v5_vectsp_2(A,sK0)
    | ~ v6_rlvect_1(A)
    | ~ v5_rlvect_1(A)
    | ~ v4_rlvect_1(A)
    | ~ v3_rlvect_1(A)
    | v3_struct_0(A)
    | ~ l3_vectsp_1(sK0)
    | ~ v8_vectsp_1(sK0)
    | ~ v7_vectsp_1(sK0)
    | ~ v6_vectsp_1(sK0) ),
    inference(resolve,[status(thm)],[c_333,c_2534]) ).

cnf(c_2536,negated_conjecture,
    ( k5_rmod_4(sK0,A,sK1(sK0,A,B)) = k1_rlvect_1(A)
    | v1_rmod_5(B,sK0,A)
    | ~ m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
    | ~ l1_vectsp_2(A,sK0)
    | ~ v5_vectsp_2(A,sK0)
    | ~ v6_rlvect_1(A)
    | ~ v5_rlvect_1(A)
    | ~ v4_rlvect_1(A)
    | ~ v3_rlvect_1(A)
    | v3_struct_0(A)
    | ~ l3_vectsp_1(sK0)
    | ~ v8_vectsp_1(sK0)
    | ~ v7_vectsp_1(sK0) ),
    inference(resolve,[status(thm)],[c_332,c_2535]) ).

cnf(c_2537,negated_conjecture,
    ( k5_rmod_4(sK0,A,sK1(sK0,A,B)) = k1_rlvect_1(A)
    | v1_rmod_5(B,sK0,A)
    | ~ m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
    | ~ l1_vectsp_2(A,sK0)
    | ~ v5_vectsp_2(A,sK0)
    | ~ v6_rlvect_1(A)
    | ~ v5_rlvect_1(A)
    | ~ v4_rlvect_1(A)
    | ~ v3_rlvect_1(A)
    | v3_struct_0(A)
    | ~ l3_vectsp_1(sK0)
    | ~ v8_vectsp_1(sK0) ),
    inference(resolve,[status(thm)],[c_331,c_2536]) ).

cnf(c_2538,negated_conjecture,
    ( k5_rmod_4(sK0,A,sK1(sK0,A,B)) = k1_rlvect_1(A)
    | v1_rmod_5(B,sK0,A)
    | ~ m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
    | ~ l1_vectsp_2(A,sK0)
    | ~ v5_vectsp_2(A,sK0)
    | ~ v6_rlvect_1(A)
    | ~ v5_rlvect_1(A)
    | ~ v4_rlvect_1(A)
    | ~ v3_rlvect_1(A)
    | v3_struct_0(A)
    | ~ l3_vectsp_1(sK0) ),
    inference(resolve,[status(thm)],[c_330,c_2537]) ).

cnf(c_429,negated_conjecture,
    ( k5_rmod_4(sK0,A,sK1(sK0,A,B)) = k1_rlvect_1(A)
    | v1_rmod_5(B,sK0,A)
    | ~ m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
    | ~ l1_vectsp_2(A,sK0)
    | ~ v5_vectsp_2(A,sK0)
    | ~ v6_rlvect_1(A)
    | ~ v5_rlvect_1(A)
    | ~ v4_rlvect_1(A)
    | ~ v3_rlvect_1(A)
    | v3_struct_0(A) ),
    inference(resolve,[status(thm)],[c_329,c_2538]) ).

cnf(c_2539,negated_conjecture,
    ( m2_rmod_4(sK1(sK0,A,B),sK0,A,B)
    | v1_rmod_5(B,sK0,A)
    | ~ m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
    | ~ l1_vectsp_2(A,sK0)
    | ~ v5_vectsp_2(A,sK0)
    | ~ v6_rlvect_1(A)
    | ~ v5_rlvect_1(A)
    | ~ v4_rlvect_1(A)
    | ~ v3_rlvect_1(A)
    | v3_struct_0(A)
    | ~ l3_vectsp_1(sK0)
    | ~ v8_vectsp_1(sK0)
    | ~ v7_vectsp_1(sK0)
    | ~ v6_vectsp_1(sK0)
    | ~ v6_rlvect_1(sK0)
    | ~ v5_rlvect_1(sK0)
    | ~ v4_rlvect_1(sK0)
    | ~ v3_rlvect_1(sK0) ),
    inference(resolve,[status(thm)],[c_337,c_302]) ).

cnf(c_2540,negated_conjecture,
    ( m2_rmod_4(sK1(sK0,A,B),sK0,A,B)
    | v1_rmod_5(B,sK0,A)
    | ~ m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
    | ~ l1_vectsp_2(A,sK0)
    | ~ v5_vectsp_2(A,sK0)
    | ~ v6_rlvect_1(A)
    | ~ v5_rlvect_1(A)
    | ~ v4_rlvect_1(A)
    | ~ v3_rlvect_1(A)
    | v3_struct_0(A)
    | ~ l3_vectsp_1(sK0)
    | ~ v8_vectsp_1(sK0)
    | ~ v7_vectsp_1(sK0)
    | ~ v6_vectsp_1(sK0)
    | ~ v6_rlvect_1(sK0)
    | ~ v5_rlvect_1(sK0)
    | ~ v4_rlvect_1(sK0) ),
    inference(resolve,[status(thm)],[c_336,c_2539]) ).

cnf(c_2541,negated_conjecture,
    ( m2_rmod_4(sK1(sK0,A,B),sK0,A,B)
    | v1_rmod_5(B,sK0,A)
    | ~ m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
    | ~ l1_vectsp_2(A,sK0)
    | ~ v5_vectsp_2(A,sK0)
    | ~ v6_rlvect_1(A)
    | ~ v5_rlvect_1(A)
    | ~ v4_rlvect_1(A)
    | ~ v3_rlvect_1(A)
    | v3_struct_0(A)
    | ~ l3_vectsp_1(sK0)
    | ~ v8_vectsp_1(sK0)
    | ~ v7_vectsp_1(sK0)
    | ~ v6_vectsp_1(sK0)
    | ~ v6_rlvect_1(sK0)
    | ~ v5_rlvect_1(sK0) ),
    inference(resolve,[status(thm)],[c_335,c_2540]) ).

cnf(c_2542,negated_conjecture,
    ( m2_rmod_4(sK1(sK0,A,B),sK0,A,B)
    | v1_rmod_5(B,sK0,A)
    | ~ m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
    | ~ l1_vectsp_2(A,sK0)
    | ~ v5_vectsp_2(A,sK0)
    | ~ v6_rlvect_1(A)
    | ~ v5_rlvect_1(A)
    | ~ v4_rlvect_1(A)
    | ~ v3_rlvect_1(A)
    | v3_struct_0(A)
    | ~ l3_vectsp_1(sK0)
    | ~ v8_vectsp_1(sK0)
    | ~ v7_vectsp_1(sK0)
    | ~ v6_vectsp_1(sK0)
    | ~ v6_rlvect_1(sK0) ),
    inference(resolve,[status(thm)],[c_334,c_2541]) ).

cnf(c_2543,negated_conjecture,
    ( m2_rmod_4(sK1(sK0,A,B),sK0,A,B)
    | v1_rmod_5(B,sK0,A)
    | ~ m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
    | ~ l1_vectsp_2(A,sK0)
    | ~ v5_vectsp_2(A,sK0)
    | ~ v6_rlvect_1(A)
    | ~ v5_rlvect_1(A)
    | ~ v4_rlvect_1(A)
    | ~ v3_rlvect_1(A)
    | v3_struct_0(A)
    | ~ l3_vectsp_1(sK0)
    | ~ v8_vectsp_1(sK0)
    | ~ v7_vectsp_1(sK0)
    | ~ v6_vectsp_1(sK0) ),
    inference(resolve,[status(thm)],[c_333,c_2542]) ).

cnf(c_2544,negated_conjecture,
    ( m2_rmod_4(sK1(sK0,A,B),sK0,A,B)
    | v1_rmod_5(B,sK0,A)
    | ~ m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
    | ~ l1_vectsp_2(A,sK0)
    | ~ v5_vectsp_2(A,sK0)
    | ~ v6_rlvect_1(A)
    | ~ v5_rlvect_1(A)
    | ~ v4_rlvect_1(A)
    | ~ v3_rlvect_1(A)
    | v3_struct_0(A)
    | ~ l3_vectsp_1(sK0)
    | ~ v8_vectsp_1(sK0)
    | ~ v7_vectsp_1(sK0) ),
    inference(resolve,[status(thm)],[c_332,c_2543]) ).

cnf(c_2545,negated_conjecture,
    ( m2_rmod_4(sK1(sK0,A,B),sK0,A,B)
    | v1_rmod_5(B,sK0,A)
    | ~ m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
    | ~ l1_vectsp_2(A,sK0)
    | ~ v5_vectsp_2(A,sK0)
    | ~ v6_rlvect_1(A)
    | ~ v5_rlvect_1(A)
    | ~ v4_rlvect_1(A)
    | ~ v3_rlvect_1(A)
    | v3_struct_0(A)
    | ~ l3_vectsp_1(sK0)
    | ~ v8_vectsp_1(sK0) ),
    inference(resolve,[status(thm)],[c_331,c_2544]) ).

cnf(c_2546,negated_conjecture,
    ( m2_rmod_4(sK1(sK0,A,B),sK0,A,B)
    | v1_rmod_5(B,sK0,A)
    | ~ m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
    | ~ l1_vectsp_2(A,sK0)
    | ~ v5_vectsp_2(A,sK0)
    | ~ v6_rlvect_1(A)
    | ~ v5_rlvect_1(A)
    | ~ v4_rlvect_1(A)
    | ~ v3_rlvect_1(A)
    | v3_struct_0(A)
    | ~ l3_vectsp_1(sK0) ),
    inference(resolve,[status(thm)],[c_330,c_2545]) ).

cnf(c_430,negated_conjecture,
    ( m2_rmod_4(sK1(sK0,A,B),sK0,A,B)
    | v1_rmod_5(B,sK0,A)
    | ~ m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
    | ~ l1_vectsp_2(A,sK0)
    | ~ v5_vectsp_2(A,sK0)
    | ~ v6_rlvect_1(A)
    | ~ v5_rlvect_1(A)
    | ~ v4_rlvect_1(A)
    | ~ v3_rlvect_1(A)
    | v3_struct_0(A) ),
    inference(resolve,[status(thm)],[c_329,c_2546]) ).

cnf(c_2547,negated_conjecture,
    ( k2_rmod_4(sK0,A,C) = k1_xboole_0
    | k5_rmod_4(sK0,A,C) != k1_rlvect_1(A)
    | ~ m2_rmod_4(C,sK0,A,B)
    | ~ v1_rmod_5(B,sK0,A)
    | ~ m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
    | ~ l1_vectsp_2(A,sK0)
    | ~ v5_vectsp_2(A,sK0)
    | ~ v6_rlvect_1(A)
    | ~ v5_rlvect_1(A)
    | ~ v4_rlvect_1(A)
    | ~ v3_rlvect_1(A)
    | v3_struct_0(A)
    | ~ l3_vectsp_1(sK0)
    | ~ v8_vectsp_1(sK0)
    | ~ v7_vectsp_1(sK0)
    | ~ v6_vectsp_1(sK0)
    | ~ v6_rlvect_1(sK0)
    | ~ v5_rlvect_1(sK0)
    | ~ v4_rlvect_1(sK0)
    | ~ v3_rlvect_1(sK0) ),
    inference(resolve,[status(thm)],[c_337,c_301]) ).

cnf(c_2548,negated_conjecture,
    ( k2_rmod_4(sK0,A,C) = k1_xboole_0
    | k5_rmod_4(sK0,A,C) != k1_rlvect_1(A)
    | ~ m2_rmod_4(C,sK0,A,B)
    | ~ v1_rmod_5(B,sK0,A)
    | ~ m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
    | ~ l1_vectsp_2(A,sK0)
    | ~ v5_vectsp_2(A,sK0)
    | ~ v6_rlvect_1(A)
    | ~ v5_rlvect_1(A)
    | ~ v4_rlvect_1(A)
    | ~ v3_rlvect_1(A)
    | v3_struct_0(A)
    | ~ l3_vectsp_1(sK0)
    | ~ v8_vectsp_1(sK0)
    | ~ v7_vectsp_1(sK0)
    | ~ v6_vectsp_1(sK0)
    | ~ v6_rlvect_1(sK0)
    | ~ v5_rlvect_1(sK0)
    | ~ v4_rlvect_1(sK0) ),
    inference(resolve,[status(thm)],[c_336,c_2547]) ).

cnf(c_2549,negated_conjecture,
    ( k2_rmod_4(sK0,A,C) = k1_xboole_0
    | k5_rmod_4(sK0,A,C) != k1_rlvect_1(A)
    | ~ m2_rmod_4(C,sK0,A,B)
    | ~ v1_rmod_5(B,sK0,A)
    | ~ m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
    | ~ l1_vectsp_2(A,sK0)
    | ~ v5_vectsp_2(A,sK0)
    | ~ v6_rlvect_1(A)
    | ~ v5_rlvect_1(A)
    | ~ v4_rlvect_1(A)
    | ~ v3_rlvect_1(A)
    | v3_struct_0(A)
    | ~ l3_vectsp_1(sK0)
    | ~ v8_vectsp_1(sK0)
    | ~ v7_vectsp_1(sK0)
    | ~ v6_vectsp_1(sK0)
    | ~ v6_rlvect_1(sK0)
    | ~ v5_rlvect_1(sK0) ),
    inference(resolve,[status(thm)],[c_335,c_2548]) ).

cnf(c_2550,negated_conjecture,
    ( k2_rmod_4(sK0,A,C) = k1_xboole_0
    | k5_rmod_4(sK0,A,C) != k1_rlvect_1(A)
    | ~ m2_rmod_4(C,sK0,A,B)
    | ~ v1_rmod_5(B,sK0,A)
    | ~ m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
    | ~ l1_vectsp_2(A,sK0)
    | ~ v5_vectsp_2(A,sK0)
    | ~ v6_rlvect_1(A)
    | ~ v5_rlvect_1(A)
    | ~ v4_rlvect_1(A)
    | ~ v3_rlvect_1(A)
    | v3_struct_0(A)
    | ~ l3_vectsp_1(sK0)
    | ~ v8_vectsp_1(sK0)
    | ~ v7_vectsp_1(sK0)
    | ~ v6_vectsp_1(sK0)
    | ~ v6_rlvect_1(sK0) ),
    inference(resolve,[status(thm)],[c_334,c_2549]) ).

cnf(c_2551,negated_conjecture,
    ( k2_rmod_4(sK0,A,C) = k1_xboole_0
    | k5_rmod_4(sK0,A,C) != k1_rlvect_1(A)
    | ~ m2_rmod_4(C,sK0,A,B)
    | ~ v1_rmod_5(B,sK0,A)
    | ~ m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
    | ~ l1_vectsp_2(A,sK0)
    | ~ v5_vectsp_2(A,sK0)
    | ~ v6_rlvect_1(A)
    | ~ v5_rlvect_1(A)
    | ~ v4_rlvect_1(A)
    | ~ v3_rlvect_1(A)
    | v3_struct_0(A)
    | ~ l3_vectsp_1(sK0)
    | ~ v8_vectsp_1(sK0)
    | ~ v7_vectsp_1(sK0)
    | ~ v6_vectsp_1(sK0) ),
    inference(resolve,[status(thm)],[c_333,c_2550]) ).

cnf(c_2552,negated_conjecture,
    ( k2_rmod_4(sK0,A,C) = k1_xboole_0
    | k5_rmod_4(sK0,A,C) != k1_rlvect_1(A)
    | ~ m2_rmod_4(C,sK0,A,B)
    | ~ v1_rmod_5(B,sK0,A)
    | ~ m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
    | ~ l1_vectsp_2(A,sK0)
    | ~ v5_vectsp_2(A,sK0)
    | ~ v6_rlvect_1(A)
    | ~ v5_rlvect_1(A)
    | ~ v4_rlvect_1(A)
    | ~ v3_rlvect_1(A)
    | v3_struct_0(A)
    | ~ l3_vectsp_1(sK0)
    | ~ v8_vectsp_1(sK0)
    | ~ v7_vectsp_1(sK0) ),
    inference(resolve,[status(thm)],[c_332,c_2551]) ).

cnf(c_2553,negated_conjecture,
    ( k2_rmod_4(sK0,A,C) = k1_xboole_0
    | k5_rmod_4(sK0,A,C) != k1_rlvect_1(A)
    | ~ m2_rmod_4(C,sK0,A,B)
    | ~ v1_rmod_5(B,sK0,A)
    | ~ m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
    | ~ l1_vectsp_2(A,sK0)
    | ~ v5_vectsp_2(A,sK0)
    | ~ v6_rlvect_1(A)
    | ~ v5_rlvect_1(A)
    | ~ v4_rlvect_1(A)
    | ~ v3_rlvect_1(A)
    | v3_struct_0(A)
    | ~ l3_vectsp_1(sK0)
    | ~ v8_vectsp_1(sK0) ),
    inference(resolve,[status(thm)],[c_331,c_2552]) ).

cnf(c_2554,negated_conjecture,
    ( k2_rmod_4(sK0,A,C) = k1_xboole_0
    | k5_rmod_4(sK0,A,C) != k1_rlvect_1(A)
    | ~ m2_rmod_4(C,sK0,A,B)
    | ~ v1_rmod_5(B,sK0,A)
    | ~ m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
    | ~ l1_vectsp_2(A,sK0)
    | ~ v5_vectsp_2(A,sK0)
    | ~ v6_rlvect_1(A)
    | ~ v5_rlvect_1(A)
    | ~ v4_rlvect_1(A)
    | ~ v3_rlvect_1(A)
    | v3_struct_0(A)
    | ~ l3_vectsp_1(sK0) ),
    inference(resolve,[status(thm)],[c_330,c_2553]) ).

cnf(c_431,negated_conjecture,
    ( k2_rmod_4(sK0,A,C) = k1_xboole_0
    | k5_rmod_4(sK0,A,C) != k1_rlvect_1(A)
    | ~ m2_rmod_4(C,sK0,A,B)
    | ~ v1_rmod_5(B,sK0,A)
    | ~ m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
    | ~ l1_vectsp_2(A,sK0)
    | ~ v5_vectsp_2(A,sK0)
    | ~ v6_rlvect_1(A)
    | ~ v5_rlvect_1(A)
    | ~ v4_rlvect_1(A)
    | ~ v3_rlvect_1(A)
    | v3_struct_0(A) ),
    inference(resolve,[status(thm)],[c_329,c_2554]) ).

cnf(c_2555,negated_conjecture,
    ( k2_rmod_4(sK0,sK4,sK1(sK0,sK4,A)) != k1_xboole_0
    | v1_rmod_5(A,sK0,sK4)
    | ~ m1_subset_1(A,k1_zfmisc_1(u1_struct_0(sK4)))
    | ~ l1_vectsp_2(sK4,sK0)
    | ~ v6_rlvect_1(sK4)
    | ~ v5_rlvect_1(sK4)
    | ~ v4_rlvect_1(sK4)
    | ~ v3_rlvect_1(sK4)
    | v3_struct_0(sK4) ),
    inference(resolve,[status(thm)],[c_428,c_323]) ).

cnf(c_2556,negated_conjecture,
    ( k2_rmod_4(sK0,sK4,sK1(sK0,sK4,A)) != k1_xboole_0
    | v1_rmod_5(A,sK0,sK4)
    | ~ m1_subset_1(A,k1_zfmisc_1(u1_struct_0(sK4)))
    | ~ l1_vectsp_2(sK4,sK0)
    | ~ v6_rlvect_1(sK4)
    | ~ v5_rlvect_1(sK4)
    | ~ v4_rlvect_1(sK4)
    | ~ v3_rlvect_1(sK4) ),
    inference(resolve,[status(thm)],[c_328,c_2555]) ).

cnf(c_2557,negated_conjecture,
    ( k2_rmod_4(sK0,sK4,sK1(sK0,sK4,A)) != k1_xboole_0
    | v1_rmod_5(A,sK0,sK4)
    | ~ m1_subset_1(A,k1_zfmisc_1(u1_struct_0(sK4)))
    | ~ l1_vectsp_2(sK4,sK0)
    | ~ v6_rlvect_1(sK4)
    | ~ v5_rlvect_1(sK4)
    | ~ v4_rlvect_1(sK4) ),
    inference(resolve,[status(thm)],[c_327,c_2556]) ).

cnf(c_2558,negated_conjecture,
    ( k2_rmod_4(sK0,sK4,sK1(sK0,sK4,A)) != k1_xboole_0
    | v1_rmod_5(A,sK0,sK4)
    | ~ m1_subset_1(A,k1_zfmisc_1(u1_struct_0(sK4)))
    | ~ l1_vectsp_2(sK4,sK0)
    | ~ v6_rlvect_1(sK4)
    | ~ v5_rlvect_1(sK4) ),
    inference(resolve,[status(thm)],[c_326,c_2557]) ).

cnf(c_2559,negated_conjecture,
    ( k2_rmod_4(sK0,sK4,sK1(sK0,sK4,A)) != k1_xboole_0
    | v1_rmod_5(A,sK0,sK4)
    | ~ m1_subset_1(A,k1_zfmisc_1(u1_struct_0(sK4)))
    | ~ l1_vectsp_2(sK4,sK0)
    | ~ v6_rlvect_1(sK4) ),
    inference(resolve,[status(thm)],[c_325,c_2558]) ).

cnf(c_2560,negated_conjecture,
    ( k2_rmod_4(sK0,sK4,sK1(sK0,sK4,A)) != k1_xboole_0
    | v1_rmod_5(A,sK0,sK4)
    | ~ m1_subset_1(A,k1_zfmisc_1(u1_struct_0(sK4)))
    | ~ l1_vectsp_2(sK4,sK0) ),
    inference(resolve,[status(thm)],[c_324,c_2559]) ).

cnf(c_585,negated_conjecture,
    ( k2_rmod_4(sK0,sK4,sK1(sK0,sK4,A)) != k1_xboole_0
    | v1_rmod_5(A,sK0,sK4)
    | ~ m1_subset_1(A,k1_zfmisc_1(u1_struct_0(sK4))) ),
    inference(resolve,[status(thm)],[c_322,c_2560]) ).

cnf(c_2561,negated_conjecture,
    ( k5_rmod_4(sK0,sK4,sK1(sK0,sK4,A)) = k1_rlvect_1(sK4)
    | v1_rmod_5(A,sK0,sK4)
    | ~ m1_subset_1(A,k1_zfmisc_1(u1_struct_0(sK4)))
    | ~ l1_vectsp_2(sK4,sK0)
    | ~ v6_rlvect_1(sK4)
    | ~ v5_rlvect_1(sK4)
    | ~ v4_rlvect_1(sK4)
    | ~ v3_rlvect_1(sK4)
    | v3_struct_0(sK4) ),
    inference(resolve,[status(thm)],[c_429,c_323]) ).

cnf(c_2562,negated_conjecture,
    ( k5_rmod_4(sK0,sK4,sK1(sK0,sK4,A)) = k1_rlvect_1(sK4)
    | v1_rmod_5(A,sK0,sK4)
    | ~ m1_subset_1(A,k1_zfmisc_1(u1_struct_0(sK4)))
    | ~ l1_vectsp_2(sK4,sK0)
    | ~ v6_rlvect_1(sK4)
    | ~ v5_rlvect_1(sK4)
    | ~ v4_rlvect_1(sK4)
    | ~ v3_rlvect_1(sK4) ),
    inference(resolve,[status(thm)],[c_328,c_2561]) ).

cnf(c_2563,negated_conjecture,
    ( k5_rmod_4(sK0,sK4,sK1(sK0,sK4,A)) = k1_rlvect_1(sK4)
    | v1_rmod_5(A,sK0,sK4)
    | ~ m1_subset_1(A,k1_zfmisc_1(u1_struct_0(sK4)))
    | ~ l1_vectsp_2(sK4,sK0)
    | ~ v6_rlvect_1(sK4)
    | ~ v5_rlvect_1(sK4)
    | ~ v4_rlvect_1(sK4) ),
    inference(resolve,[status(thm)],[c_327,c_2562]) ).

cnf(c_2564,negated_conjecture,
    ( k5_rmod_4(sK0,sK4,sK1(sK0,sK4,A)) = k1_rlvect_1(sK4)
    | v1_rmod_5(A,sK0,sK4)
    | ~ m1_subset_1(A,k1_zfmisc_1(u1_struct_0(sK4)))
    | ~ l1_vectsp_2(sK4,sK0)
    | ~ v6_rlvect_1(sK4)
    | ~ v5_rlvect_1(sK4) ),
    inference(resolve,[status(thm)],[c_326,c_2563]) ).

cnf(c_2565,negated_conjecture,
    ( k5_rmod_4(sK0,sK4,sK1(sK0,sK4,A)) = k1_rlvect_1(sK4)
    | v1_rmod_5(A,sK0,sK4)
    | ~ m1_subset_1(A,k1_zfmisc_1(u1_struct_0(sK4)))
    | ~ l1_vectsp_2(sK4,sK0)
    | ~ v6_rlvect_1(sK4) ),
    inference(resolve,[status(thm)],[c_325,c_2564]) ).

cnf(c_2566,negated_conjecture,
    ( k5_rmod_4(sK0,sK4,sK1(sK0,sK4,A)) = k1_rlvect_1(sK4)
    | v1_rmod_5(A,sK0,sK4)
    | ~ m1_subset_1(A,k1_zfmisc_1(u1_struct_0(sK4)))
    | ~ l1_vectsp_2(sK4,sK0) ),
    inference(resolve,[status(thm)],[c_324,c_2565]) ).

cnf(c_586,negated_conjecture,
    ( k5_rmod_4(sK0,sK4,sK1(sK0,sK4,A)) = k1_rlvect_1(sK4)
    | v1_rmod_5(A,sK0,sK4)
    | ~ m1_subset_1(A,k1_zfmisc_1(u1_struct_0(sK4))) ),
    inference(resolve,[status(thm)],[c_322,c_2566]) ).

cnf(c_2567,negated_conjecture,
    ( m2_rmod_4(sK1(sK0,sK4,A),sK0,sK4,A)
    | v1_rmod_5(A,sK0,sK4)
    | ~ m1_subset_1(A,k1_zfmisc_1(u1_struct_0(sK4)))
    | ~ l1_vectsp_2(sK4,sK0)
    | ~ v6_rlvect_1(sK4)
    | ~ v5_rlvect_1(sK4)
    | ~ v4_rlvect_1(sK4)
    | ~ v3_rlvect_1(sK4)
    | v3_struct_0(sK4) ),
    inference(resolve,[status(thm)],[c_430,c_323]) ).

cnf(c_2568,negated_conjecture,
    ( m2_rmod_4(sK1(sK0,sK4,A),sK0,sK4,A)
    | v1_rmod_5(A,sK0,sK4)
    | ~ m1_subset_1(A,k1_zfmisc_1(u1_struct_0(sK4)))
    | ~ l1_vectsp_2(sK4,sK0)
    | ~ v6_rlvect_1(sK4)
    | ~ v5_rlvect_1(sK4)
    | ~ v4_rlvect_1(sK4)
    | ~ v3_rlvect_1(sK4) ),
    inference(resolve,[status(thm)],[c_328,c_2567]) ).

cnf(c_2569,negated_conjecture,
    ( m2_rmod_4(sK1(sK0,sK4,A),sK0,sK4,A)
    | v1_rmod_5(A,sK0,sK4)
    | ~ m1_subset_1(A,k1_zfmisc_1(u1_struct_0(sK4)))
    | ~ l1_vectsp_2(sK4,sK0)
    | ~ v6_rlvect_1(sK4)
    | ~ v5_rlvect_1(sK4)
    | ~ v4_rlvect_1(sK4) ),
    inference(resolve,[status(thm)],[c_327,c_2568]) ).

cnf(c_2570,negated_conjecture,
    ( m2_rmod_4(sK1(sK0,sK4,A),sK0,sK4,A)
    | v1_rmod_5(A,sK0,sK4)
    | ~ m1_subset_1(A,k1_zfmisc_1(u1_struct_0(sK4)))
    | ~ l1_vectsp_2(sK4,sK0)
    | ~ v6_rlvect_1(sK4)
    | ~ v5_rlvect_1(sK4) ),
    inference(resolve,[status(thm)],[c_326,c_2569]) ).

cnf(c_2571,negated_conjecture,
    ( m2_rmod_4(sK1(sK0,sK4,A),sK0,sK4,A)
    | v1_rmod_5(A,sK0,sK4)
    | ~ m1_subset_1(A,k1_zfmisc_1(u1_struct_0(sK4)))
    | ~ l1_vectsp_2(sK4,sK0)
    | ~ v6_rlvect_1(sK4) ),
    inference(resolve,[status(thm)],[c_325,c_2570]) ).

cnf(c_2572,negated_conjecture,
    ( m2_rmod_4(sK1(sK0,sK4,A),sK0,sK4,A)
    | v1_rmod_5(A,sK0,sK4)
    | ~ m1_subset_1(A,k1_zfmisc_1(u1_struct_0(sK4)))
    | ~ l1_vectsp_2(sK4,sK0) ),
    inference(resolve,[status(thm)],[c_324,c_2571]) ).

cnf(c_587,negated_conjecture,
    ( m2_rmod_4(sK1(sK0,sK4,A),sK0,sK4,A)
    | v1_rmod_5(A,sK0,sK4)
    | ~ m1_subset_1(A,k1_zfmisc_1(u1_struct_0(sK4))) ),
    inference(resolve,[status(thm)],[c_322,c_2572]) ).

cnf(c_2573,negated_conjecture,
    ( k2_rmod_4(sK0,sK4,sK1(sK0,sK4,sK2)) != k1_xboole_0
    | v1_rmod_5(sK2,sK0,sK4) ),
    inference(resolve,[status(thm)],[c_585,c_321]) ).

cnf(c_2363,negated_conjecture,
    k2_rmod_4(sK0,sK4,sK1(sK0,sK4,sK2)) != k1_xboole_0,
    inference(resolve,[status(thm)],[c_318,c_2573]) ).

cnf(c_2574,negated_conjecture,
    ( k5_rmod_4(sK0,sK4,sK1(sK0,sK4,sK2)) = k1_rlvect_1(sK4)
    | v1_rmod_5(sK2,sK0,sK4) ),
    inference(resolve,[status(thm)],[c_586,c_321]) ).

cnf(c_2434,negated_conjecture,
    k5_rmod_4(sK0,sK4,sK1(sK0,sK4,sK2)) = k1_rlvect_1(sK4),
    inference(resolve,[status(thm)],[c_318,c_2574]) ).

cnf(c_2575,negated_conjecture,
    ( m2_rmod_4(sK1(sK0,sK4,sK2),sK0,sK4,sK2)
    | v1_rmod_5(sK2,sK0,sK4) ),
    inference(resolve,[status(thm)],[c_587,c_321]) ).

cnf(c_2449,negated_conjecture,
    m2_rmod_4(sK1(sK0,sK4,sK2),sK0,sK4,sK2),
    inference(resolve,[status(thm)],[c_318,c_2575]) ).

cnf(c_2576,negated_conjecture,
    ( m2_rmod_4(sK1(sK0,sK4,sK2),sK0,sK4,sK3)
    | ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK4)))
    | ~ m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK4)))
    | ~ l1_vectsp_2(sK4,sK0)
    | ~ v5_vectsp_2(sK4,sK0)
    | ~ v6_rlvect_1(sK4)
    | ~ v5_rlvect_1(sK4)
    | ~ v4_rlvect_1(sK4)
    | ~ v3_rlvect_1(sK4)
    | v3_struct_0(sK4) ),
    inference(resolve,[status(thm)],[c_2449,c_365]) ).

cnf(c_2577,negated_conjecture,
    ( m2_rmod_4(sK1(sK0,sK4,sK2),sK0,sK4,sK3)
    | ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK4)))
    | ~ m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK4)))
    | ~ l1_vectsp_2(sK4,sK0)
    | ~ v5_vectsp_2(sK4,sK0)
    | ~ v6_rlvect_1(sK4)
    | ~ v5_rlvect_1(sK4)
    | ~ v4_rlvect_1(sK4)
    | ~ v3_rlvect_1(sK4) ),
    inference(resolve,[status(thm)],[c_328,c_2576]) ).

cnf(c_2578,negated_conjecture,
    ( m2_rmod_4(sK1(sK0,sK4,sK2),sK0,sK4,sK3)
    | ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK4)))
    | ~ m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK4)))
    | ~ l1_vectsp_2(sK4,sK0)
    | ~ v5_vectsp_2(sK4,sK0)
    | ~ v6_rlvect_1(sK4)
    | ~ v5_rlvect_1(sK4)
    | ~ v4_rlvect_1(sK4) ),
    inference(resolve,[status(thm)],[c_327,c_2577]) ).

cnf(c_2579,negated_conjecture,
    ( m2_rmod_4(sK1(sK0,sK4,sK2),sK0,sK4,sK3)
    | ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK4)))
    | ~ m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK4)))
    | ~ l1_vectsp_2(sK4,sK0)
    | ~ v5_vectsp_2(sK4,sK0)
    | ~ v6_rlvect_1(sK4)
    | ~ v5_rlvect_1(sK4) ),
    inference(resolve,[status(thm)],[c_326,c_2578]) ).

cnf(c_2580,negated_conjecture,
    ( m2_rmod_4(sK1(sK0,sK4,sK2),sK0,sK4,sK3)
    | ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK4)))
    | ~ m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK4)))
    | ~ l1_vectsp_2(sK4,sK0)
    | ~ v5_vectsp_2(sK4,sK0)
    | ~ v6_rlvect_1(sK4) ),
    inference(resolve,[status(thm)],[c_325,c_2579]) ).

cnf(c_2581,negated_conjecture,
    ( m2_rmod_4(sK1(sK0,sK4,sK2),sK0,sK4,sK3)
    | ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK4)))
    | ~ m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK4)))
    | ~ l1_vectsp_2(sK4,sK0)
    | ~ v5_vectsp_2(sK4,sK0) ),
    inference(resolve,[status(thm)],[c_324,c_2580]) ).

cnf(c_2582,negated_conjecture,
    ( m2_rmod_4(sK1(sK0,sK4,sK2),sK0,sK4,sK3)
    | ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK4)))
    | ~ m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK4)))
    | ~ l1_vectsp_2(sK4,sK0) ),
    inference(resolve,[status(thm)],[c_323,c_2581]) ).

cnf(c_2583,negated_conjecture,
    ( m2_rmod_4(sK1(sK0,sK4,sK2),sK0,sK4,sK3)
    | ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK4)))
    | ~ m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK4))) ),
    inference(resolve,[status(thm)],[c_322,c_2582]) ).

cnf(c_2584,negated_conjecture,
    ( m2_rmod_4(sK1(sK0,sK4,sK2),sK0,sK4,sK3)
    | ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK4))) ),
    inference(resolve,[status(thm)],[c_321,c_2583]) ).

cnf(c_2481,negated_conjecture,
    m2_rmod_4(sK1(sK0,sK4,sK2),sK0,sK4,sK3),
    inference(resolve,[status(thm)],[c_320,c_2584]) ).

cnf(c_2585,negated_conjecture,
    ( k2_rmod_4(sK0,sK4,sK1(sK0,sK4,sK2)) = k1_xboole_0
    | k5_rmod_4(sK0,sK4,sK1(sK0,sK4,sK2)) != k1_rlvect_1(sK4)
    | ~ v1_rmod_5(sK3,sK0,sK4)
    | ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK4)))
    | ~ l1_vectsp_2(sK4,sK0)
    | ~ v5_vectsp_2(sK4,sK0)
    | ~ v6_rlvect_1(sK4)
    | ~ v5_rlvect_1(sK4)
    | ~ v4_rlvect_1(sK4)
    | ~ v3_rlvect_1(sK4)
    | v3_struct_0(sK4) ),
    inference(resolve,[status(thm)],[c_2481,c_431]) ).

cnf(c_2586,negated_conjecture,
    ( k2_rmod_4(sK0,sK4,sK1(sK0,sK4,sK2)) = k1_xboole_0
    | k5_rmod_4(sK0,sK4,sK1(sK0,sK4,sK2)) != k1_rlvect_1(sK4)
    | ~ v1_rmod_5(sK3,sK0,sK4)
    | ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK4)))
    | ~ l1_vectsp_2(sK4,sK0)
    | ~ v5_vectsp_2(sK4,sK0)
    | ~ v6_rlvect_1(sK4)
    | ~ v5_rlvect_1(sK4)
    | ~ v4_rlvect_1(sK4)
    | ~ v3_rlvect_1(sK4) ),
    inference(resolve,[status(thm)],[c_328,c_2585]) ).

cnf(c_2587,negated_conjecture,
    ( k2_rmod_4(sK0,sK4,sK1(sK0,sK4,sK2)) = k1_xboole_0
    | k5_rmod_4(sK0,sK4,sK1(sK0,sK4,sK2)) != k1_rlvect_1(sK4)
    | ~ v1_rmod_5(sK3,sK0,sK4)
    | ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK4)))
    | ~ l1_vectsp_2(sK4,sK0)
    | ~ v5_vectsp_2(sK4,sK0)
    | ~ v6_rlvect_1(sK4)
    | ~ v5_rlvect_1(sK4)
    | ~ v4_rlvect_1(sK4) ),
    inference(resolve,[status(thm)],[c_327,c_2586]) ).

cnf(c_2588,negated_conjecture,
    ( k2_rmod_4(sK0,sK4,sK1(sK0,sK4,sK2)) = k1_xboole_0
    | k5_rmod_4(sK0,sK4,sK1(sK0,sK4,sK2)) != k1_rlvect_1(sK4)
    | ~ v1_rmod_5(sK3,sK0,sK4)
    | ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK4)))
    | ~ l1_vectsp_2(sK4,sK0)
    | ~ v5_vectsp_2(sK4,sK0)
    | ~ v6_rlvect_1(sK4)
    | ~ v5_rlvect_1(sK4) ),
    inference(resolve,[status(thm)],[c_326,c_2587]) ).

cnf(c_2589,negated_conjecture,
    ( k2_rmod_4(sK0,sK4,sK1(sK0,sK4,sK2)) = k1_xboole_0
    | k5_rmod_4(sK0,sK4,sK1(sK0,sK4,sK2)) != k1_rlvect_1(sK4)
    | ~ v1_rmod_5(sK3,sK0,sK4)
    | ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK4)))
    | ~ l1_vectsp_2(sK4,sK0)
    | ~ v5_vectsp_2(sK4,sK0)
    | ~ v6_rlvect_1(sK4) ),
    inference(resolve,[status(thm)],[c_325,c_2588]) ).

cnf(c_2590,negated_conjecture,
    ( k2_rmod_4(sK0,sK4,sK1(sK0,sK4,sK2)) = k1_xboole_0
    | k5_rmod_4(sK0,sK4,sK1(sK0,sK4,sK2)) != k1_rlvect_1(sK4)
    | ~ v1_rmod_5(sK3,sK0,sK4)
    | ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK4)))
    | ~ l1_vectsp_2(sK4,sK0)
    | ~ v5_vectsp_2(sK4,sK0) ),
    inference(resolve,[status(thm)],[c_324,c_2589]) ).

cnf(c_2591,negated_conjecture,
    ( k2_rmod_4(sK0,sK4,sK1(sK0,sK4,sK2)) = k1_xboole_0
    | k5_rmod_4(sK0,sK4,sK1(sK0,sK4,sK2)) != k1_rlvect_1(sK4)
    | ~ v1_rmod_5(sK3,sK0,sK4)
    | ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK4)))
    | ~ l1_vectsp_2(sK4,sK0) ),
    inference(resolve,[status(thm)],[c_323,c_2590]) ).

cnf(c_2592,negated_conjecture,
    ( k2_rmod_4(sK0,sK4,sK1(sK0,sK4,sK2)) = k1_xboole_0
    | k5_rmod_4(sK0,sK4,sK1(sK0,sK4,sK2)) != k1_rlvect_1(sK4)
    | ~ v1_rmod_5(sK3,sK0,sK4)
    | ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK4))) ),
    inference(resolve,[status(thm)],[c_322,c_2591]) ).

cnf(c_2593,negated_conjecture,
    ( k2_rmod_4(sK0,sK4,sK1(sK0,sK4,sK2)) = k1_xboole_0
    | k5_rmod_4(sK0,sK4,sK1(sK0,sK4,sK2)) != k1_rlvect_1(sK4)
    | ~ v1_rmod_5(sK3,sK0,sK4) ),
    inference(resolve,[status(thm)],[c_320,c_2592]) ).

cnf(c_2594,negated_conjecture,
    ( k2_rmod_4(sK0,sK4,sK1(sK0,sK4,sK2)) = k1_xboole_0
    | k5_rmod_4(sK0,sK4,sK1(sK0,sK4,sK2)) != k1_rlvect_1(sK4) ),
    inference(resolve,[status(thm)],[c_319,c_2593]) ).

cnf(c_2595,negated_conjecture,
    k2_rmod_4(sK0,sK4,sK1(sK0,sK4,sK2)) = k1_xboole_0,
    inference(resolve,[status(thm)],[c_2434,c_2594]) ).

cnf(c_2514,negated_conjecture,
    $false,
    inference(resolve,[status(thm)],[c_2363,c_2595]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : ALG214+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.03  % Command  : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35  % Computer : n004.cluster.edu
% 0.08/0.35  % Model    : x86_64 x86_64
% 0.08/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35  % Memory   : 8046.5625MB
% 0.08/0.35  % OS       : Linux 6.8.0-71-generic
% 0.08/0.36  % CPULimit : 300
% 0.08/0.36  % WCLimit  : 300
% 0.08/0.36  % DateTime : Sat Sep 26 21:26:36 UTC 2026
% 0.12/0.36  % CPUTime  : 
% 0.12/0.36  % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.12/0.36  % Process 2638603 was started by sandbox2 on n004,
% 0.12/0.36  % Sat Sep 26 21:26:36 2026
% 0.12/0.36  % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.12/0.38  
% 0.12/0.38  % From the command line: assign(max_seconds, 300).
% 2.20/0.73  
% 2.20/0.73  % given #500 (T,wt=19): 2027 l1_rlvect_1(f2(f15(c11))).  [resolve(647,a,256,b),unit_del(a,456)].
% 2.20/0.73  
% 2.20/0.73  % SZS status Theorem for theBenchmark
% 2.20/0.73  
% 2.20/0.73  % Proof 1 at 0.25 (+ 0.07) seconds.
% 2.20/0.73  % Length of proof is 51.
% 2.20/0.73  % Level of proof is 7.
% 2.20/0.73  % Maximum clause weight is 76.000.
% 2.20/0.73  % Given clauses 552.
% 2.20/0.73  
% 2.20/0.73  % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------