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hopCoP---0.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : hopCoP---0.1
% Problem  : LAT294+1 : TPTP v9.0.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n023.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 : Thu Jul 24 10:34:20 PM UTC 2025

% Result   : Theorem 15.05s 2.23s
% Output   : CNFRefutation 15.05s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   87 (  73 unt;   0 def)
%            Number of atoms       :  267 (  20 equ)
%            Maximal formula atoms :   21 (   3 avg)
%            Number of connectives :  303 ( 123   ~; 116   |;  38   &)
%                                         (   1 <=>;  25  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   19 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   10 (   8 usr;   1 prp; 0-3 aty)
%            Number of functors    :    9 (   9 usr;   6 con; 0-2 aty)
%            Number of variables   :   42 (   0 sgn  21   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(t4_filter_2,plain,
    ! [A] :
      ( ~ v1_xboole_0(A)
     => ! [B] :
          ( ( ~ v1_xboole_0(B)
            & m1_subset_1(B,k1_zfmisc_1(A)) )
         => ! [C] :
              ( ( v1_funct_1(C)
                & v1_funct_2(C,k2_zfmisc_1(A,A),A)
                & m2_relset_1(C,k2_zfmisc_1(A,A),A) )
             => ! [D] :
                  ( ( v1_funct_1(D)
                    & v1_funct_2(D,k2_zfmisc_1(A,A),A)
                    & m2_relset_1(D,k2_zfmisc_1(A,A),A) )
                 => ! [E] :
                      ( ( v1_funct_1(E)
                        & v1_funct_2(E,k2_zfmisc_1(B,B),B)
                        & m2_relset_1(E,k2_zfmisc_1(B,B),B) )
                     => ! [F] :
                          ( ( v1_funct_1(F)
                            & v1_funct_2(F,k2_zfmisc_1(B,B),B)
                            & m2_relset_1(F,k2_zfmisc_1(B,B),B) )
                         => ( ( E = k1_realset1(C,B)
                              & F = k1_realset1(D,B)
                              & r6_binop_1(A,C,D) )
                           => r6_binop_1(B,E,F) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_filter_2) ).

fof(t4_filter_2_negated,plain,
    ~ ! [A] :
        ( ~ v1_xboole_0(A)
       => ! [B] :
            ( ( ~ v1_xboole_0(B)
              & m1_subset_1(B,k1_zfmisc_1(A)) )
           => ! [C] :
                ( ( v1_funct_1(C)
                  & v1_funct_2(C,k2_zfmisc_1(A,A),A)
                  & m2_relset_1(C,k2_zfmisc_1(A,A),A) )
               => ! [D] :
                    ( ( v1_funct_1(D)
                      & v1_funct_2(D,k2_zfmisc_1(A,A),A)
                      & m2_relset_1(D,k2_zfmisc_1(A,A),A) )
                   => ! [E] :
                        ( ( v1_funct_1(E)
                          & v1_funct_2(E,k2_zfmisc_1(B,B),B)
                          & m2_relset_1(E,k2_zfmisc_1(B,B),B) )
                       => ! [F] :
                            ( ( v1_funct_1(F)
                              & v1_funct_2(F,k2_zfmisc_1(B,B),B)
                              & m2_relset_1(F,k2_zfmisc_1(B,B),B) )
                           => ( ( E = k1_realset1(C,B)
                                & F = k1_realset1(D,B)
                                & r6_binop_1(A,C,D) )
                             => r6_binop_1(B,E,F) ) ) ) ) ) ) ),
    inference(negate_conjecture,[status(cth)],[t4_filter_2]) ).

cnf(9,plain,
    v1_funct_1(sK5),
    inference(cnf,[status(esa)],[t4_filter_2_negated]) ).

cnf(l0,plain,
    v1_funct_1(sK5),
    inference(instantiation,[status(thm)],[9]) ).

fof(d11_binop_1,plain,
    ! [A,B] :
      ( ( v1_funct_1(B)
        & v1_funct_2(B,k2_zfmisc_1(A,A),A)
        & m2_relset_1(B,k2_zfmisc_1(A,A),A) )
     => ! [C] :
          ( ( v1_funct_1(C)
            & v1_funct_2(C,k2_zfmisc_1(A,A),A)
            & m2_relset_1(C,k2_zfmisc_1(A,A),A) )
         => ( r6_binop_1(A,B,C)
          <=> ( r4_binop_1(A,B,C)
              & r5_binop_1(A,B,C) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d11_binop_1) ).

cnf(25,plain,
    ( ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1)
    | ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
    | ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
    | ~ m2_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
    | ~ v1_funct_1(X0)
    | ~ v1_funct_1(X2)
    | ~ r4_binop_1(X1,X0,X2)
    | ~ r5_binop_1(X1,X0,X2)
    | r6_binop_1(X1,X0,X2) ),
    inference(cnf,[status(esa)],[d11_binop_1]) ).

cnf(l1,plain,
    ( ~ v1_funct_2(sK5,k2_zfmisc_1(sK2,sK2),sK2)
    | ~ v1_funct_2(sK6,k2_zfmisc_1(sK2,sK2),sK2)
    | ~ m2_relset_1(sK5,k2_zfmisc_1(sK2,sK2),sK2)
    | ~ m2_relset_1(sK6,k2_zfmisc_1(sK2,sK2),sK2)
    | ~ v1_funct_1(sK5)
    | ~ v1_funct_1(sK6)
    | ~ r4_binop_1(sK2,sK5,sK6)
    | ~ r5_binop_1(sK2,sK5,sK6)
    | r6_binop_1(sK2,sK5,sK6) ),
    inference(instantiation,[status(thm)],[25]) ).

cnf(11,plain,
    m2_relset_1(sK5,k2_zfmisc_1(sK2,sK2),sK2),
    inference(cnf,[status(esa)],[t4_filter_2_negated]) ).

cnf(l4,plain,
    m2_relset_1(sK5,k2_zfmisc_1(sK2,sK2),sK2),
    inference(instantiation,[status(thm)],[11]) ).

cnf(18,plain,
    ~ r6_binop_1(sK2,sK5,sK6),
    inference(cnf,[status(esa)],[t4_filter_2_negated]) ).

cnf(l10,plain,
    ~ r6_binop_1(sK2,sK5,sK6),
    inference(instantiation,[status(thm)],[18]) ).

fof(t3_filter_2,plain,
    ! [A] :
      ( ~ v1_xboole_0(A)
     => ! [B] :
          ( ( ~ v1_xboole_0(B)
            & m1_subset_1(B,k1_zfmisc_1(A)) )
         => ! [C] :
              ( ( v1_funct_1(C)
                & v1_funct_2(C,k2_zfmisc_1(A,A),A)
                & m2_relset_1(C,k2_zfmisc_1(A,A),A) )
             => ! [D] :
                  ( ( v1_funct_1(D)
                    & v1_funct_2(D,k2_zfmisc_1(A,A),A)
                    & m2_relset_1(D,k2_zfmisc_1(A,A),A) )
                 => ! [E] :
                      ( ( v1_funct_1(E)
                        & v1_funct_2(E,k2_zfmisc_1(B,B),B)
                        & m2_relset_1(E,k2_zfmisc_1(B,B),B) )
                     => ! [F] :
                          ( ( v1_funct_1(F)
                            & v1_funct_2(F,k2_zfmisc_1(B,B),B)
                            & m2_relset_1(F,k2_zfmisc_1(B,B),B) )
                         => ( ( E = k1_realset1(C,B)
                              & F = k1_realset1(D,B) )
                           => ( ( r4_binop_1(A,C,D)
                               => r4_binop_1(B,E,F) )
                              & ( r5_binop_1(A,C,D)
                               => r5_binop_1(B,E,F) ) ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_filter_2) ).

cnf(60,plain,
    ( ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1)
    | ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
    | ~ v1_funct_2(X3,k2_zfmisc_1(X4,X4),X4)
    | ~ v1_funct_2(X5,k2_zfmisc_1(X4,X4),X4)
    | ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
    | ~ m2_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
    | ~ m2_relset_1(X3,k2_zfmisc_1(X4,X4),X4)
    | ~ m2_relset_1(X5,k2_zfmisc_1(X4,X4),X4)
    | ~ m1_subset_1(X4,k1_zfmisc_1(X1))
    | ~ v1_funct_1(X0)
    | ~ v1_funct_1(X2)
    | ~ v1_funct_1(X3)
    | ~ v1_funct_1(X5)
    | X3 != k1_realset1(X0,X4)
    | X5 != k1_realset1(X2,X4)
    | ~ r5_binop_1(X1,X0,X2)
    | v1_xboole_0(X1)
    | v1_xboole_0(X4)
    | r5_binop_1(X4,X3,X5) ),
    inference(cnf,[status(esa)],[t3_filter_2]) ).

cnf(l5,plain,
    ( ~ v1_funct_2(sK3,k2_zfmisc_1(sK1,sK1),sK1)
    | ~ v1_funct_2(sK4,k2_zfmisc_1(sK1,sK1),sK1)
    | ~ v1_funct_2(sK5,k2_zfmisc_1(sK2,sK2),sK2)
    | ~ v1_funct_2(sK6,k2_zfmisc_1(sK2,sK2),sK2)
    | ~ m2_relset_1(sK3,k2_zfmisc_1(sK1,sK1),sK1)
    | ~ m2_relset_1(sK4,k2_zfmisc_1(sK1,sK1),sK1)
    | ~ m2_relset_1(sK5,k2_zfmisc_1(sK2,sK2),sK2)
    | ~ m2_relset_1(sK6,k2_zfmisc_1(sK2,sK2),sK2)
    | ~ m1_subset_1(sK2,k1_zfmisc_1(sK1))
    | ~ v1_funct_1(sK3)
    | ~ v1_funct_1(sK4)
    | ~ v1_funct_1(sK5)
    | ~ v1_funct_1(sK6)
    | sK5 != k1_realset1(sK3,sK2)
    | sK6 != k1_realset1(sK4,sK2)
    | ~ r5_binop_1(sK1,sK3,sK4)
    | v1_xboole_0(sK1)
    | v1_xboole_0(sK2)
    | r5_binop_1(sK2,sK5,sK6) ),
    inference(instantiation,[status(thm)],[60]) ).

cnf(13,plain,
    v1_funct_2(sK6,k2_zfmisc_1(sK2,sK2),sK2),
    inference(cnf,[status(esa)],[t4_filter_2_negated]) ).

cnf(l455,plain,
    v1_funct_2(sK6,k2_zfmisc_1(sK2,sK2),sK2),
    inference(instantiation,[status(thm)],[13]) ).

cnf(12,plain,
    v1_funct_1(sK6),
    inference(cnf,[status(esa)],[t4_filter_2_negated]) ).

cnf(l1096,plain,
    v1_funct_1(sK6),
    inference(instantiation,[status(thm)],[12]) ).

cnf(6,plain,
    v1_funct_1(sK4),
    inference(cnf,[status(esa)],[t4_filter_2_negated]) ).

cnf(l1180,plain,
    v1_funct_1(sK4),
    inference(instantiation,[status(thm)],[6]) ).

cnf(l947,plain,
    m2_relset_1(sK5,k2_zfmisc_1(sK2,sK2),sK2),
    inference(instantiation,[status(thm)],[11]) ).

cnf(5,plain,
    m2_relset_1(sK3,k2_zfmisc_1(sK1,sK1),sK1),
    inference(cnf,[status(esa)],[t4_filter_2_negated]) ).

cnf(l1016,plain,
    m2_relset_1(sK3,k2_zfmisc_1(sK1,sK1),sK1),
    inference(instantiation,[status(thm)],[5]) ).

cnf(24,plain,
    ( ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1)
    | ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
    | ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
    | ~ m2_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
    | ~ v1_funct_1(X0)
    | ~ v1_funct_1(X2)
    | ~ r6_binop_1(X1,X0,X2)
    | r5_binop_1(X1,X0,X2) ),
    inference(cnf,[status(esa)],[d11_binop_1]) ).

cnf(l1020,plain,
    ( ~ v1_funct_2(sK3,k2_zfmisc_1(sK1,sK1),sK1)
    | ~ v1_funct_2(sK4,k2_zfmisc_1(sK1,sK1),sK1)
    | ~ m2_relset_1(sK3,k2_zfmisc_1(sK1,sK1),sK1)
    | ~ m2_relset_1(sK4,k2_zfmisc_1(sK1,sK1),sK1)
    | ~ v1_funct_1(sK3)
    | ~ v1_funct_1(sK4)
    | ~ r6_binop_1(sK1,sK3,sK4)
    | r5_binop_1(sK1,sK3,sK4) ),
    inference(instantiation,[status(thm)],[24]) ).

cnf(0,plain,
    ~ v1_xboole_0(sK1),
    inference(cnf,[status(esa)],[t4_filter_2_negated]) ).

cnf(l1019,plain,
    ~ v1_xboole_0(sK1),
    inference(instantiation,[status(thm)],[0]) ).

cnf(10,plain,
    v1_funct_2(sK5,k2_zfmisc_1(sK2,sK2),sK2),
    inference(cnf,[status(esa)],[t4_filter_2_negated]) ).

cnf(l7,plain,
    v1_funct_2(sK5,k2_zfmisc_1(sK2,sK2),sK2),
    inference(instantiation,[status(thm)],[10]) ).

cnf(4,plain,
    v1_funct_2(sK3,k2_zfmisc_1(sK1,sK1),sK1),
    inference(cnf,[status(esa)],[t4_filter_2_negated]) ).

cnf(l1385,plain,
    v1_funct_2(sK3,k2_zfmisc_1(sK1,sK1),sK1),
    inference(instantiation,[status(thm)],[4]) ).

cnf(7,plain,
    v1_funct_2(sK4,k2_zfmisc_1(sK1,sK1),sK1),
    inference(cnf,[status(esa)],[t4_filter_2_negated]) ).

cnf(l442,plain,
    v1_funct_2(sK4,k2_zfmisc_1(sK1,sK1),sK1),
    inference(instantiation,[status(thm)],[7]) ).

cnf(2,plain,
    m1_subset_1(sK2,k1_zfmisc_1(sK1)),
    inference(cnf,[status(esa)],[t4_filter_2_negated]) ).

cnf(l1014,plain,
    m1_subset_1(sK2,k1_zfmisc_1(sK1)),
    inference(instantiation,[status(thm)],[2]) ).

cnf(17,plain,
    r6_binop_1(sK1,sK3,sK4),
    inference(cnf,[status(esa)],[t4_filter_2_negated]) ).

cnf(l1376,plain,
    r6_binop_1(sK1,sK3,sK4),
    inference(instantiation,[status(thm)],[17]) ).

cnf(14,plain,
    m2_relset_1(sK6,k2_zfmisc_1(sK2,sK2),sK2),
    inference(cnf,[status(esa)],[t4_filter_2_negated]) ).

cnf(l1015,plain,
    m2_relset_1(sK6,k2_zfmisc_1(sK2,sK2),sK2),
    inference(instantiation,[status(thm)],[14]) ).

cnf(l1233,plain,
    v1_funct_2(sK4,k2_zfmisc_1(sK1,sK1),sK1),
    inference(instantiation,[status(thm)],[7]) ).

cnf(l443,plain,
    v1_funct_2(sK5,k2_zfmisc_1(sK2,sK2),sK2),
    inference(instantiation,[status(thm)],[10]) ).

cnf(1,plain,
    ~ v1_xboole_0(sK2),
    inference(cnf,[status(esa)],[t4_filter_2_negated]) ).

cnf(l1098,plain,
    ~ v1_xboole_0(sK2),
    inference(instantiation,[status(thm)],[1]) ).

cnf(8,plain,
    m2_relset_1(sK4,k2_zfmisc_1(sK1,sK1),sK1),
    inference(cnf,[status(esa)],[t4_filter_2_negated]) ).

cnf(l964,plain,
    m2_relset_1(sK4,k2_zfmisc_1(sK1,sK1),sK1),
    inference(instantiation,[status(thm)],[8]) ).

cnf(l12,plain,
    m2_relset_1(sK6,k2_zfmisc_1(sK2,sK2),sK2),
    inference(instantiation,[status(thm)],[14]) ).

cnf(l432,plain,
    v1_funct_2(sK3,k2_zfmisc_1(sK1,sK1),sK1),
    inference(instantiation,[status(thm)],[4]) ).

cnf(l6,plain,
    v1_funct_1(sK6),
    inference(instantiation,[status(thm)],[12]) ).

cnf(l3,plain,
    v1_funct_2(sK6,k2_zfmisc_1(sK2,sK2),sK2),
    inference(instantiation,[status(thm)],[13]) ).

cnf(15,plain,
    sK5 = k1_realset1(sK3,sK2),
    inference(cnf,[status(esa)],[t4_filter_2_negated]) ).

cnf(l1036,plain,
    sK5 = k1_realset1(sK3,sK2),
    inference(instantiation,[status(thm)],[15]) ).

cnf(16,plain,
    sK6 = k1_realset1(sK4,sK2),
    inference(cnf,[status(esa)],[t4_filter_2_negated]) ).

cnf(l1017,plain,
    sK6 = k1_realset1(sK4,sK2),
    inference(instantiation,[status(thm)],[16]) ).

cnf(3,plain,
    v1_funct_1(sK3),
    inference(cnf,[status(esa)],[t4_filter_2_negated]) ).

cnf(l1236,plain,
    v1_funct_1(sK3),
    inference(instantiation,[status(thm)],[3]) ).

cnf(59,plain,
    ( ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1)
    | ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
    | ~ v1_funct_2(X3,k2_zfmisc_1(X4,X4),X4)
    | ~ v1_funct_2(X5,k2_zfmisc_1(X4,X4),X4)
    | ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
    | ~ m2_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
    | ~ m2_relset_1(X3,k2_zfmisc_1(X4,X4),X4)
    | ~ m2_relset_1(X5,k2_zfmisc_1(X4,X4),X4)
    | ~ m1_subset_1(X4,k1_zfmisc_1(X1))
    | ~ v1_funct_1(X0)
    | ~ v1_funct_1(X2)
    | ~ v1_funct_1(X3)
    | ~ v1_funct_1(X5)
    | X3 != k1_realset1(X0,X4)
    | X5 != k1_realset1(X2,X4)
    | ~ r4_binop_1(X1,X0,X2)
    | v1_xboole_0(X1)
    | v1_xboole_0(X4)
    | r4_binop_1(X4,X3,X5) ),
    inference(cnf,[status(esa)],[t3_filter_2]) ).

cnf(l26,plain,
    ( ~ v1_funct_2(sK3,k2_zfmisc_1(sK1,sK1),sK1)
    | ~ v1_funct_2(sK4,k2_zfmisc_1(sK1,sK1),sK1)
    | ~ v1_funct_2(sK5,k2_zfmisc_1(sK2,sK2),sK2)
    | ~ v1_funct_2(sK6,k2_zfmisc_1(sK2,sK2),sK2)
    | ~ m2_relset_1(sK3,k2_zfmisc_1(sK1,sK1),sK1)
    | ~ m2_relset_1(sK4,k2_zfmisc_1(sK1,sK1),sK1)
    | ~ m2_relset_1(sK5,k2_zfmisc_1(sK2,sK2),sK2)
    | ~ m2_relset_1(sK6,k2_zfmisc_1(sK2,sK2),sK2)
    | ~ m1_subset_1(sK2,k1_zfmisc_1(sK1))
    | ~ v1_funct_1(sK3)
    | ~ v1_funct_1(sK4)
    | ~ v1_funct_1(sK5)
    | ~ v1_funct_1(sK6)
    | sK5 != k1_realset1(sK3,sK2)
    | sK6 != k1_realset1(sK4,sK2)
    | ~ r4_binop_1(sK1,sK3,sK4)
    | v1_xboole_0(sK1)
    | v1_xboole_0(sK2)
    | r4_binop_1(sK2,sK5,sK6) ),
    inference(instantiation,[status(thm)],[59]) ).

cnf(l1377,plain,
    m2_relset_1(sK3,k2_zfmisc_1(sK1,sK1),sK1),
    inference(instantiation,[status(thm)],[5]) ).

cnf(23,plain,
    ( ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1)
    | ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
    | ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
    | ~ m2_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
    | ~ v1_funct_1(X0)
    | ~ v1_funct_1(X2)
    | ~ r6_binop_1(X1,X0,X2)
    | r4_binop_1(X1,X0,X2) ),
    inference(cnf,[status(esa)],[d11_binop_1]) ).

cnf(l1041,plain,
    ( ~ v1_funct_2(sK3,k2_zfmisc_1(sK1,sK1),sK1)
    | ~ v1_funct_2(sK4,k2_zfmisc_1(sK1,sK1),sK1)
    | ~ m2_relset_1(sK3,k2_zfmisc_1(sK1,sK1),sK1)
    | ~ m2_relset_1(sK4,k2_zfmisc_1(sK1,sK1),sK1)
    | ~ v1_funct_1(sK3)
    | ~ v1_funct_1(sK4)
    | ~ r6_binop_1(sK1,sK3,sK4)
    | r4_binop_1(sK1,sK3,sK4) ),
    inference(instantiation,[status(thm)],[23]) ).

cnf(l1046,plain,
    m2_relset_1(sK3,k2_zfmisc_1(sK1,sK1),sK1),
    inference(instantiation,[status(thm)],[5]) ).

cnf(l1382,plain,
    v1_funct_1(sK3),
    inference(instantiation,[status(thm)],[3]) ).

cnf(l517,plain,
    v1_funct_2(sK4,k2_zfmisc_1(sK1,sK1),sK1),
    inference(instantiation,[status(thm)],[7]) ).

cnf(l1234,plain,
    m2_relset_1(sK4,k2_zfmisc_1(sK1,sK1),sK1),
    inference(instantiation,[status(thm)],[8]) ).

cnf(l1077,plain,
    v1_funct_1(sK4),
    inference(instantiation,[status(thm)],[6]) ).

cnf(l1070,plain,
    v1_funct_1(sK3),
    inference(instantiation,[status(thm)],[3]) ).

cnf(l1033,plain,
    m1_subset_1(sK2,k1_zfmisc_1(sK1)),
    inference(instantiation,[status(thm)],[2]) ).

cnf(l518,plain,
    v1_funct_2(sK5,k2_zfmisc_1(sK2,sK2),sK2),
    inference(instantiation,[status(thm)],[10]) ).

cnf(l1052,plain,
    v1_funct_1(sK6),
    inference(instantiation,[status(thm)],[12]) ).

cnf(l1058,plain,
    m2_relset_1(sK4,k2_zfmisc_1(sK1,sK1),sK1),
    inference(instantiation,[status(thm)],[8]) ).

cnf(l544,plain,
    v1_funct_2(sK6,k2_zfmisc_1(sK2,sK2),sK2),
    inference(instantiation,[status(thm)],[13]) ).

cnf(l1050,plain,
    r6_binop_1(sK1,sK3,sK4),
    inference(instantiation,[status(thm)],[17]) ).

cnf(l1060,plain,
    m2_relset_1(sK3,k2_zfmisc_1(sK1,sK1),sK1),
    inference(instantiation,[status(thm)],[5]) ).

cnf(l129,plain,
    v1_funct_2(sK3,k2_zfmisc_1(sK1,sK1),sK1),
    inference(instantiation,[status(thm)],[4]) ).

cnf(l1032,plain,
    sK5 = k1_realset1(sK3,sK2),
    inference(instantiation,[status(thm)],[15]) ).

cnf(l1089,plain,
    v1_funct_1(sK3),
    inference(instantiation,[status(thm)],[3]) ).

cnf(l1038,plain,
    m2_relset_1(sK4,k2_zfmisc_1(sK1,sK1),sK1),
    inference(instantiation,[status(thm)],[8]) ).

cnf(l1051,plain,
    m2_relset_1(sK6,k2_zfmisc_1(sK2,sK2),sK2),
    inference(instantiation,[status(thm)],[14]) ).

cnf(l1053,plain,
    v1_funct_2(sK4,k2_zfmisc_1(sK1,sK1),sK1),
    inference(instantiation,[status(thm)],[7]) ).

cnf(l1031,plain,
    ~ v1_xboole_0(sK2),
    inference(instantiation,[status(thm)],[1]) ).

cnf(l1386,plain,
    v1_funct_1(sK4),
    inference(instantiation,[status(thm)],[6]) ).

cnf(l1043,plain,
    m2_relset_1(sK5,k2_zfmisc_1(sK2,sK2),sK2),
    inference(instantiation,[status(thm)],[11]) ).

cnf(l1040,plain,
    ~ v1_xboole_0(sK1),
    inference(instantiation,[status(thm)],[0]) ).

cnf(l1087,plain,
    v1_funct_1(sK4),
    inference(instantiation,[status(thm)],[6]) ).

cnf(l1049,plain,
    sK6 = k1_realset1(sK4,sK2),
    inference(instantiation,[status(thm)],[16]) ).

cnf(l1055,plain,
    v1_funct_2(sK3,k2_zfmisc_1(sK1,sK1),sK1),
    inference(instantiation,[status(thm)],[4]) ).

cnf(final,plain,
    $false,
    inference(ground_refutation,[status(thm)],[l0,l1,l4,l10,l5,l455,l1096,l1180,l947,l1016,l1020,l1019,l7,l1385,l442,l1014,l1376,l1015,l1233,l443,l1098,l964,l12,l432,l6,l3,l1036,l1017,l1236,l26,l1377,l1041,l1046,l1382,l517,l1234,l1077,l1070,l1033,l518,l1052,l1058,l544,l1050,l1060,l129,l1032,l1089,l1038,l1051,l1053,l1031,l1386,l1043,l1040,l1087,l1049,l1055]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : LAT294+1 : TPTP v9.0.0. Released v3.4.0.
% 0.11/0.13  % Command  : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34  % Computer : n023.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 : Mon Jul 21 00:09:49 EDT 2025
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  % launching worker at depth: 6
% 0.13/0.34  % launching worker at depth: 1
% 0.13/0.34  % launching worker at depth: 2
% 0.13/0.34  % launching worker at depth: 7
% 0.13/0.34  % launching worker at depth: 8
% 0.13/0.34  % launching worker at depth: 4
% 0.13/0.34  % launching worker at depth: 5
% 0.13/0.34  % launching worker at depth: 3
% 0.13/0.36  % launching worker at depth: 9
% 0.13/0.37  % launching worker at depth: 10
% 0.20/0.56  % launching worker at depth: 11
% 15.05/2.23  % SZS status Theorem for theBenchmark
% 15.05/2.23  % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------