TSTP Solution File: LAT300+1 by Metis---2.4

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : LAT300+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n011.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  : 600s
% DateTime : Sun Jul 17 06:02:19 EDT 2022

% Result   : Theorem 1.08s 1.23s
% Output   : CNFRefutation 1.08s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   21
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   73 (  21 unt;   0 def)
%            Number of atoms       :  224 (   0 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives :  257 ( 106   ~; 111   |;  28   &)
%                                         (   0 <=>;  12  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    9 (   8 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-1 aty)
%            Number of variables   :   82 (   0 sgn  51   !;  10   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(t24_filter_2,conjecture,
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v10_lattices(A)
        & l3_lattices(A) )
     => ! [B] :
          ( m2_filter_2(B,A)
         => ? [C] :
              ( m1_subset_1(C,u1_struct_0(A))
              & r2_hidden(C,B) ) ) ) ).

fof(dt_m2_filter_2,axiom,
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v10_lattices(A)
        & l3_lattices(A) )
     => ! [B] :
          ( m2_filter_2(B,A)
         => ( ~ v1_xboole_0(B)
            & m2_lattice4(B,A) ) ) ) ).

fof(dt_m2_lattice4,axiom,
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v10_lattices(A)
        & l3_lattices(A) )
     => ! [B] :
          ( m2_lattice4(B,A)
         => m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) ) ).

fof(existence_m1_subset_1,axiom,
    ! [A] :
    ? [B] : m1_subset_1(B,A) ).

fof(t2_subset,axiom,
    ! [A,B] :
      ( m1_subset_1(A,B)
     => ( v1_xboole_0(B)
        | r2_hidden(A,B) ) ) ).

fof(t4_subset,axiom,
    ! [A,B,C] :
      ( ( r2_hidden(A,B)
        & m1_subset_1(B,k1_zfmisc_1(C)) )
     => m1_subset_1(A,C) ) ).

fof(subgoal_0,plain,
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v10_lattices(A)
        & l3_lattices(A) )
     => ! [B] :
          ( m2_filter_2(B,A)
         => ? [C] :
              ( m1_subset_1(C,u1_struct_0(A))
              & r2_hidden(C,B) ) ) ),
    inference(strip,[],[t24_filter_2]) ).

fof(negate_0_0,plain,
    ~ ! [A] :
        ( ( ~ v3_struct_0(A)
          & v10_lattices(A)
          & l3_lattices(A) )
       => ! [B] :
            ( m2_filter_2(B,A)
           => ? [C] :
                ( m1_subset_1(C,u1_struct_0(A))
                & r2_hidden(C,B) ) ) ),
    inference(negate,[],[subgoal_0]) ).

fof(normalize_0_0,plain,
    ! [A] :
    ? [B] : m1_subset_1(B,A),
    inference(canonicalize,[],[existence_m1_subset_1]) ).

fof(normalize_0_1,plain,
    ! [A] :
    ? [B] : m1_subset_1(B,A),
    inference(specialize,[],[normalize_0_0]) ).

fof(normalize_0_2,plain,
    ! [A] : m1_subset_1(skolemFOFtoCNF_B(A),A),
    inference(skolemize,[],[normalize_0_1]) ).

fof(normalize_0_3,plain,
    ! [A,B] :
      ( ~ m1_subset_1(A,B)
      | r2_hidden(A,B)
      | v1_xboole_0(B) ),
    inference(canonicalize,[],[t2_subset]) ).

fof(normalize_0_4,plain,
    ! [A,B] :
      ( ~ m1_subset_1(A,B)
      | r2_hidden(A,B)
      | v1_xboole_0(B) ),
    inference(specialize,[],[normalize_0_3]) ).

fof(normalize_0_5,plain,
    ? [A] :
      ( ~ v3_struct_0(A)
      & l3_lattices(A)
      & v10_lattices(A)
      & ? [B] :
          ( m2_filter_2(B,A)
          & ! [C] :
              ( ~ m1_subset_1(C,u1_struct_0(A))
              | ~ r2_hidden(C,B) ) ) ),
    inference(canonicalize,[],[negate_0_0]) ).

fof(normalize_0_6,plain,
    ( ~ v3_struct_0(skolemFOFtoCNF_A_7)
    & l3_lattices(skolemFOFtoCNF_A_7)
    & v10_lattices(skolemFOFtoCNF_A_7)
    & ? [B] :
        ( m2_filter_2(B,skolemFOFtoCNF_A_7)
        & ! [C] :
            ( ~ m1_subset_1(C,u1_struct_0(skolemFOFtoCNF_A_7))
            | ~ r2_hidden(C,B) ) ) ),
    inference(skolemize,[],[normalize_0_5]) ).

fof(normalize_0_7,plain,
    ? [B] :
      ( m2_filter_2(B,skolemFOFtoCNF_A_7)
      & ! [C] :
          ( ~ m1_subset_1(C,u1_struct_0(skolemFOFtoCNF_A_7))
          | ~ r2_hidden(C,B) ) ),
    inference(conjunct,[],[normalize_0_6]) ).

fof(normalize_0_8,plain,
    ( m2_filter_2(skolemFOFtoCNF_B_7,skolemFOFtoCNF_A_7)
    & ! [C] :
        ( ~ m1_subset_1(C,u1_struct_0(skolemFOFtoCNF_A_7))
        | ~ r2_hidden(C,skolemFOFtoCNF_B_7) ) ),
    inference(skolemize,[],[normalize_0_7]) ).

fof(normalize_0_9,plain,
    ! [C] :
      ( ~ m1_subset_1(C,u1_struct_0(skolemFOFtoCNF_A_7))
      | ~ r2_hidden(C,skolemFOFtoCNF_B_7) ),
    inference(conjunct,[],[normalize_0_8]) ).

fof(normalize_0_10,plain,
    ! [C] :
      ( ~ m1_subset_1(C,u1_struct_0(skolemFOFtoCNF_A_7))
      | ~ r2_hidden(C,skolemFOFtoCNF_B_7) ),
    inference(specialize,[],[normalize_0_9]) ).

fof(normalize_0_11,plain,
    ! [A,B,C] :
      ( ~ m1_subset_1(B,k1_zfmisc_1(C))
      | ~ r2_hidden(A,B)
      | m1_subset_1(A,C) ),
    inference(canonicalize,[],[t4_subset]) ).

fof(normalize_0_12,plain,
    ! [A,B,C] :
      ( ~ m1_subset_1(B,k1_zfmisc_1(C))
      | ~ r2_hidden(A,B)
      | m1_subset_1(A,C) ),
    inference(specialize,[],[normalize_0_11]) ).

fof(normalize_0_13,plain,
    m2_filter_2(skolemFOFtoCNF_B_7,skolemFOFtoCNF_A_7),
    inference(conjunct,[],[normalize_0_8]) ).

fof(normalize_0_14,plain,
    ! [A] :
      ( ~ l3_lattices(A)
      | ~ v10_lattices(A)
      | v3_struct_0(A)
      | ! [B] :
          ( ~ m2_filter_2(B,A)
          | ( ~ v1_xboole_0(B)
            & m2_lattice4(B,A) ) ) ),
    inference(canonicalize,[],[dt_m2_filter_2]) ).

fof(normalize_0_15,plain,
    ! [A] :
      ( ~ l3_lattices(A)
      | ~ v10_lattices(A)
      | v3_struct_0(A)
      | ! [B] :
          ( ~ m2_filter_2(B,A)
          | ( ~ v1_xboole_0(B)
            & m2_lattice4(B,A) ) ) ),
    inference(specialize,[],[normalize_0_14]) ).

fof(normalize_0_16,plain,
    ! [A,B] :
      ( ( ~ l3_lattices(A)
        | ~ m2_filter_2(B,A)
        | ~ v10_lattices(A)
        | ~ v1_xboole_0(B)
        | v3_struct_0(A) )
      & ( ~ l3_lattices(A)
        | ~ m2_filter_2(B,A)
        | ~ v10_lattices(A)
        | m2_lattice4(B,A)
        | v3_struct_0(A) ) ),
    inference(clausify,[],[normalize_0_15]) ).

fof(normalize_0_17,plain,
    ! [A,B] :
      ( ~ l3_lattices(A)
      | ~ m2_filter_2(B,A)
      | ~ v10_lattices(A)
      | m2_lattice4(B,A)
      | v3_struct_0(A) ),
    inference(conjunct,[],[normalize_0_16]) ).

fof(normalize_0_18,plain,
    l3_lattices(skolemFOFtoCNF_A_7),
    inference(conjunct,[],[normalize_0_6]) ).

fof(normalize_0_19,plain,
    v10_lattices(skolemFOFtoCNF_A_7),
    inference(conjunct,[],[normalize_0_6]) ).

fof(normalize_0_20,plain,
    ~ v3_struct_0(skolemFOFtoCNF_A_7),
    inference(conjunct,[],[normalize_0_6]) ).

fof(normalize_0_21,plain,
    ! [A] :
      ( ~ l3_lattices(A)
      | ~ v10_lattices(A)
      | v3_struct_0(A)
      | ! [B] :
          ( ~ m2_lattice4(B,A)
          | m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) ),
    inference(canonicalize,[],[dt_m2_lattice4]) ).

fof(normalize_0_22,plain,
    ! [A] :
      ( ~ l3_lattices(A)
      | ~ v10_lattices(A)
      | v3_struct_0(A)
      | ! [B] :
          ( ~ m2_lattice4(B,A)
          | m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) ),
    inference(specialize,[],[normalize_0_21]) ).

fof(normalize_0_23,plain,
    ! [A,B] :
      ( ~ l3_lattices(A)
      | ~ m2_lattice4(B,A)
      | ~ v10_lattices(A)
      | m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
      | v3_struct_0(A) ),
    inference(clausify,[],[normalize_0_22]) ).

fof(normalize_0_24,plain,
    ! [A,B] :
      ( ~ l3_lattices(A)
      | ~ m2_filter_2(B,A)
      | ~ v10_lattices(A)
      | ~ v1_xboole_0(B)
      | v3_struct_0(A) ),
    inference(conjunct,[],[normalize_0_16]) ).

cnf(refute_0_0,plain,
    m1_subset_1(skolemFOFtoCNF_B(A),A),
    inference(canonicalize,[],[normalize_0_2]) ).

cnf(refute_0_1,plain,
    m1_subset_1(skolemFOFtoCNF_B(X_45),X_45),
    inference(subst,[],[refute_0_0:[bind(A,$fot(X_45))]]) ).

cnf(refute_0_2,plain,
    ( ~ m1_subset_1(A,B)
    | r2_hidden(A,B)
    | v1_xboole_0(B) ),
    inference(canonicalize,[],[normalize_0_4]) ).

cnf(refute_0_3,plain,
    ( ~ m1_subset_1(skolemFOFtoCNF_B(X_45),X_45)
    | r2_hidden(skolemFOFtoCNF_B(X_45),X_45)
    | v1_xboole_0(X_45) ),
    inference(subst,[],[refute_0_2:[bind(A,$fot(skolemFOFtoCNF_B(X_45))),bind(B,$fot(X_45))]]) ).

cnf(refute_0_4,plain,
    ( r2_hidden(skolemFOFtoCNF_B(X_45),X_45)
    | v1_xboole_0(X_45) ),
    inference(resolve,[$cnf( m1_subset_1(skolemFOFtoCNF_B(X_45),X_45) )],[refute_0_1,refute_0_3]) ).

cnf(refute_0_5,plain,
    ( r2_hidden(skolemFOFtoCNF_B(skolemFOFtoCNF_B_7),skolemFOFtoCNF_B_7)
    | v1_xboole_0(skolemFOFtoCNF_B_7) ),
    inference(subst,[],[refute_0_4:[bind(X_45,$fot(skolemFOFtoCNF_B_7))]]) ).

cnf(refute_0_6,plain,
    ( ~ m1_subset_1(C,u1_struct_0(skolemFOFtoCNF_A_7))
    | ~ r2_hidden(C,skolemFOFtoCNF_B_7) ),
    inference(canonicalize,[],[normalize_0_10]) ).

cnf(refute_0_7,plain,
    ( ~ m1_subset_1(skolemFOFtoCNF_B(skolemFOFtoCNF_B_7),u1_struct_0(skolemFOFtoCNF_A_7))
    | ~ r2_hidden(skolemFOFtoCNF_B(skolemFOFtoCNF_B_7),skolemFOFtoCNF_B_7) ),
    inference(subst,[],[refute_0_6:[bind(C,$fot(skolemFOFtoCNF_B(skolemFOFtoCNF_B_7)))]]) ).

cnf(refute_0_8,plain,
    ( r2_hidden(skolemFOFtoCNF_B(X_77),X_77)
    | v1_xboole_0(X_77) ),
    inference(subst,[],[refute_0_4:[bind(X_45,$fot(X_77))]]) ).

cnf(refute_0_9,plain,
    ( ~ m1_subset_1(B,k1_zfmisc_1(C))
    | ~ r2_hidden(A,B)
    | m1_subset_1(A,C) ),
    inference(canonicalize,[],[normalize_0_12]) ).

cnf(refute_0_10,plain,
    ( ~ m1_subset_1(X_77,k1_zfmisc_1(X_78))
    | ~ r2_hidden(skolemFOFtoCNF_B(X_77),X_77)
    | m1_subset_1(skolemFOFtoCNF_B(X_77),X_78) ),
    inference(subst,[],[refute_0_9:[bind(A,$fot(skolemFOFtoCNF_B(X_77))),bind(B,$fot(X_77)),bind(C,$fot(X_78))]]) ).

cnf(refute_0_11,plain,
    ( ~ m1_subset_1(X_77,k1_zfmisc_1(X_78))
    | m1_subset_1(skolemFOFtoCNF_B(X_77),X_78)
    | v1_xboole_0(X_77) ),
    inference(resolve,[$cnf( r2_hidden(skolemFOFtoCNF_B(X_77),X_77) )],[refute_0_8,refute_0_10]) ).

cnf(refute_0_12,plain,
    ( ~ m1_subset_1(skolemFOFtoCNF_B_7,k1_zfmisc_1(u1_struct_0(skolemFOFtoCNF_A_7)))
    | m1_subset_1(skolemFOFtoCNF_B(skolemFOFtoCNF_B_7),u1_struct_0(skolemFOFtoCNF_A_7))
    | v1_xboole_0(skolemFOFtoCNF_B_7) ),
    inference(subst,[],[refute_0_11:[bind(X_77,$fot(skolemFOFtoCNF_B_7)),bind(X_78,$fot(u1_struct_0(skolemFOFtoCNF_A_7)))]]) ).

cnf(refute_0_13,plain,
    m2_filter_2(skolemFOFtoCNF_B_7,skolemFOFtoCNF_A_7),
    inference(canonicalize,[],[normalize_0_13]) ).

cnf(refute_0_14,plain,
    ( ~ l3_lattices(A)
    | ~ m2_filter_2(B,A)
    | ~ v10_lattices(A)
    | m2_lattice4(B,A)
    | v3_struct_0(A) ),
    inference(canonicalize,[],[normalize_0_17]) ).

cnf(refute_0_15,plain,
    ( ~ l3_lattices(skolemFOFtoCNF_A_7)
    | ~ m2_filter_2(skolemFOFtoCNF_B_7,skolemFOFtoCNF_A_7)
    | ~ v10_lattices(skolemFOFtoCNF_A_7)
    | m2_lattice4(skolemFOFtoCNF_B_7,skolemFOFtoCNF_A_7)
    | v3_struct_0(skolemFOFtoCNF_A_7) ),
    inference(subst,[],[refute_0_14:[bind(A,$fot(skolemFOFtoCNF_A_7)),bind(B,$fot(skolemFOFtoCNF_B_7))]]) ).

cnf(refute_0_16,plain,
    ( ~ l3_lattices(skolemFOFtoCNF_A_7)
    | ~ v10_lattices(skolemFOFtoCNF_A_7)
    | m2_lattice4(skolemFOFtoCNF_B_7,skolemFOFtoCNF_A_7)
    | v3_struct_0(skolemFOFtoCNF_A_7) ),
    inference(resolve,[$cnf( m2_filter_2(skolemFOFtoCNF_B_7,skolemFOFtoCNF_A_7) )],[refute_0_13,refute_0_15]) ).

cnf(refute_0_17,plain,
    l3_lattices(skolemFOFtoCNF_A_7),
    inference(canonicalize,[],[normalize_0_18]) ).

cnf(refute_0_18,plain,
    ( ~ v10_lattices(skolemFOFtoCNF_A_7)
    | m2_lattice4(skolemFOFtoCNF_B_7,skolemFOFtoCNF_A_7)
    | v3_struct_0(skolemFOFtoCNF_A_7) ),
    inference(resolve,[$cnf( l3_lattices(skolemFOFtoCNF_A_7) )],[refute_0_17,refute_0_16]) ).

cnf(refute_0_19,plain,
    v10_lattices(skolemFOFtoCNF_A_7),
    inference(canonicalize,[],[normalize_0_19]) ).

cnf(refute_0_20,plain,
    ( m2_lattice4(skolemFOFtoCNF_B_7,skolemFOFtoCNF_A_7)
    | v3_struct_0(skolemFOFtoCNF_A_7) ),
    inference(resolve,[$cnf( v10_lattices(skolemFOFtoCNF_A_7) )],[refute_0_19,refute_0_18]) ).

cnf(refute_0_21,plain,
    ~ v3_struct_0(skolemFOFtoCNF_A_7),
    inference(canonicalize,[],[normalize_0_20]) ).

cnf(refute_0_22,plain,
    m2_lattice4(skolemFOFtoCNF_B_7,skolemFOFtoCNF_A_7),
    inference(resolve,[$cnf( v3_struct_0(skolemFOFtoCNF_A_7) )],[refute_0_20,refute_0_21]) ).

cnf(refute_0_23,plain,
    ( ~ l3_lattices(A)
    | ~ m2_lattice4(B,A)
    | ~ v10_lattices(A)
    | m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
    | v3_struct_0(A) ),
    inference(canonicalize,[],[normalize_0_23]) ).

cnf(refute_0_24,plain,
    ( ~ l3_lattices(skolemFOFtoCNF_A_7)
    | ~ m2_lattice4(skolemFOFtoCNF_B_7,skolemFOFtoCNF_A_7)
    | ~ v10_lattices(skolemFOFtoCNF_A_7)
    | m1_subset_1(skolemFOFtoCNF_B_7,k1_zfmisc_1(u1_struct_0(skolemFOFtoCNF_A_7)))
    | v3_struct_0(skolemFOFtoCNF_A_7) ),
    inference(subst,[],[refute_0_23:[bind(A,$fot(skolemFOFtoCNF_A_7)),bind(B,$fot(skolemFOFtoCNF_B_7))]]) ).

cnf(refute_0_25,plain,
    ( ~ l3_lattices(skolemFOFtoCNF_A_7)
    | ~ v10_lattices(skolemFOFtoCNF_A_7)
    | m1_subset_1(skolemFOFtoCNF_B_7,k1_zfmisc_1(u1_struct_0(skolemFOFtoCNF_A_7)))
    | v3_struct_0(skolemFOFtoCNF_A_7) ),
    inference(resolve,[$cnf( m2_lattice4(skolemFOFtoCNF_B_7,skolemFOFtoCNF_A_7) )],[refute_0_22,refute_0_24]) ).

cnf(refute_0_26,plain,
    ( ~ v10_lattices(skolemFOFtoCNF_A_7)
    | m1_subset_1(skolemFOFtoCNF_B_7,k1_zfmisc_1(u1_struct_0(skolemFOFtoCNF_A_7)))
    | v3_struct_0(skolemFOFtoCNF_A_7) ),
    inference(resolve,[$cnf( l3_lattices(skolemFOFtoCNF_A_7) )],[refute_0_17,refute_0_25]) ).

cnf(refute_0_27,plain,
    ( m1_subset_1(skolemFOFtoCNF_B_7,k1_zfmisc_1(u1_struct_0(skolemFOFtoCNF_A_7)))
    | v3_struct_0(skolemFOFtoCNF_A_7) ),
    inference(resolve,[$cnf( v10_lattices(skolemFOFtoCNF_A_7) )],[refute_0_19,refute_0_26]) ).

cnf(refute_0_28,plain,
    m1_subset_1(skolemFOFtoCNF_B_7,k1_zfmisc_1(u1_struct_0(skolemFOFtoCNF_A_7))),
    inference(resolve,[$cnf( v3_struct_0(skolemFOFtoCNF_A_7) )],[refute_0_27,refute_0_21]) ).

cnf(refute_0_29,plain,
    ( m1_subset_1(skolemFOFtoCNF_B(skolemFOFtoCNF_B_7),u1_struct_0(skolemFOFtoCNF_A_7))
    | v1_xboole_0(skolemFOFtoCNF_B_7) ),
    inference(resolve,[$cnf( m1_subset_1(skolemFOFtoCNF_B_7,k1_zfmisc_1(u1_struct_0(skolemFOFtoCNF_A_7))) )],[refute_0_28,refute_0_12]) ).

cnf(refute_0_30,plain,
    ( ~ l3_lattices(A)
    | ~ m2_filter_2(B,A)
    | ~ v10_lattices(A)
    | ~ v1_xboole_0(B)
    | v3_struct_0(A) ),
    inference(canonicalize,[],[normalize_0_24]) ).

cnf(refute_0_31,plain,
    ( ~ l3_lattices(skolemFOFtoCNF_A_7)
    | ~ m2_filter_2(skolemFOFtoCNF_B_7,skolemFOFtoCNF_A_7)
    | ~ v10_lattices(skolemFOFtoCNF_A_7)
    | ~ v1_xboole_0(skolemFOFtoCNF_B_7)
    | v3_struct_0(skolemFOFtoCNF_A_7) ),
    inference(subst,[],[refute_0_30:[bind(A,$fot(skolemFOFtoCNF_A_7)),bind(B,$fot(skolemFOFtoCNF_B_7))]]) ).

cnf(refute_0_32,plain,
    ( ~ l3_lattices(skolemFOFtoCNF_A_7)
    | ~ v10_lattices(skolemFOFtoCNF_A_7)
    | ~ v1_xboole_0(skolemFOFtoCNF_B_7)
    | v3_struct_0(skolemFOFtoCNF_A_7) ),
    inference(resolve,[$cnf( m2_filter_2(skolemFOFtoCNF_B_7,skolemFOFtoCNF_A_7) )],[refute_0_13,refute_0_31]) ).

cnf(refute_0_33,plain,
    ( ~ v10_lattices(skolemFOFtoCNF_A_7)
    | ~ v1_xboole_0(skolemFOFtoCNF_B_7)
    | v3_struct_0(skolemFOFtoCNF_A_7) ),
    inference(resolve,[$cnf( l3_lattices(skolemFOFtoCNF_A_7) )],[refute_0_17,refute_0_32]) ).

cnf(refute_0_34,plain,
    ( ~ v1_xboole_0(skolemFOFtoCNF_B_7)
    | v3_struct_0(skolemFOFtoCNF_A_7) ),
    inference(resolve,[$cnf( v10_lattices(skolemFOFtoCNF_A_7) )],[refute_0_19,refute_0_33]) ).

cnf(refute_0_35,plain,
    ~ v1_xboole_0(skolemFOFtoCNF_B_7),
    inference(resolve,[$cnf( v3_struct_0(skolemFOFtoCNF_A_7) )],[refute_0_34,refute_0_21]) ).

cnf(refute_0_36,plain,
    m1_subset_1(skolemFOFtoCNF_B(skolemFOFtoCNF_B_7),u1_struct_0(skolemFOFtoCNF_A_7)),
    inference(resolve,[$cnf( v1_xboole_0(skolemFOFtoCNF_B_7) )],[refute_0_29,refute_0_35]) ).

cnf(refute_0_37,plain,
    ~ r2_hidden(skolemFOFtoCNF_B(skolemFOFtoCNF_B_7),skolemFOFtoCNF_B_7),
    inference(resolve,[$cnf( m1_subset_1(skolemFOFtoCNF_B(skolemFOFtoCNF_B_7),u1_struct_0(skolemFOFtoCNF_A_7)) )],[refute_0_36,refute_0_7]) ).

cnf(refute_0_38,plain,
    v1_xboole_0(skolemFOFtoCNF_B_7),
    inference(resolve,[$cnf( r2_hidden(skolemFOFtoCNF_B(skolemFOFtoCNF_B_7),skolemFOFtoCNF_B_7) )],[refute_0_5,refute_0_37]) ).

cnf(refute_0_39,plain,
    $false,
    inference(resolve,[$cnf( v1_xboole_0(skolemFOFtoCNF_B_7) )],[refute_0_38,refute_0_35]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11  % Problem  : LAT300+1 : TPTP v8.1.0. Released v3.4.0.
% 0.11/0.12  % Command  : metis --show proof --show saturation %s
% 0.12/0.33  % Computer : n011.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Wed Jun 29 14:20:47 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.12/0.34  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 1.08/1.23  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.08/1.23  
% 1.08/1.23  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 1.08/1.23  
%------------------------------------------------------------------------------