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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : LAT313+2 : TPTP v9.3.1. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n006.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 : Tue Sep 29 11:46:49 AM UTC 2026

% Result   : Theorem 12.31s 2.75s
% Output   : Refutation 13.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   20
%            Number of leaves      :   26
% Syntax   : Number of formulae    :  185 (  26 unt;  12 def)
%            Number of atoms       :  793 (  56 equ)
%            Maximal formula atoms :   12 (   4 avg)
%            Number of connectives :  997 ( 389   ~; 455   |; 105   &)
%                                         (  24 <=>;  24  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   34 (  32 usr;  13 prp; 0-3 aty)
%            Number of functors    :   11 (  11 usr;   2 con; 0-1 aty)
%            Number of variables   :  104 (   0 sgn 100   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2475,axiom,
    ! [X0] :
      ( ( ~ v3_struct_0(X0)
        & v10_lattices(X0)
        & l3_lattices(X0) )
     => ! [X1] :
          ( m1_filter_0(X1,X0)
         => ( ( ~ v3_struct_0(X0)
              & v10_lattices(X0)
              & v13_lattices(X0)
              & l3_lattices(X0)
              & r2_hidden(k5_lattices(X0),X1) )
           => ( X1 = k1_filter_0(X0)
              & X1 = u1_struct_0(X0) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t32_filter_0) ).

fof(f2564,axiom,
    ! [X0] :
      ( ( ~ v3_struct_0(X0)
        & l3_lattices(X0) )
     => ( ~ v3_struct_0(k1_lattice2(X0))
        & v3_lattices(k1_lattice2(X0)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_lattice2) ).

fof(f2569,axiom,
    ! [X0] :
      ( ( ~ v3_struct_0(X0)
        & v10_lattices(X0)
        & l3_lattices(X0) )
     => ( ~ v3_struct_0(k1_lattice2(X0))
        & v3_lattices(k1_lattice2(X0))
        & v4_lattices(k1_lattice2(X0))
        & v5_lattices(k1_lattice2(X0))
        & v6_lattices(k1_lattice2(X0))
        & v7_lattices(k1_lattice2(X0))
        & v8_lattices(k1_lattice2(X0))
        & v9_lattices(k1_lattice2(X0))
        & v10_lattices(k1_lattice2(X0)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc6_lattice2) ).

fof(f2597,axiom,
    ! [X0] :
      ( ( ~ v3_struct_0(X0)
        & l3_lattices(X0) )
     => ( u1_struct_0(X0) = u1_struct_0(k1_lattice2(X0))
        & u2_lattices(X0) = u1_lattices(k1_lattice2(X0))
        & u1_lattices(X0) = u2_lattices(k1_lattice2(X0)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t18_lattice2) ).

fof(f2645,axiom,
    ! [X0] :
      ( ( ~ v3_struct_0(X0)
        & v10_lattices(X0)
        & l3_lattices(X0) )
     => ( v14_lattices(X0)
      <=> v13_lattices(k1_lattice2(X0)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t64_lattice2) ).

fof(f2660,axiom,
    ! [X0] :
      ( ( ~ v3_struct_0(X0)
        & v10_lattices(X0)
        & v14_lattices(X0)
        & l3_lattices(X0) )
     => k6_lattices(X0) = k5_lattices(k1_lattice2(X0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t79_lattice2) ).

fof(f2669,axiom,
    ! [X0] :
      ( l3_lattices(X0)
     => ( v3_lattices(k1_lattice2(X0))
        & l3_lattices(k1_lattice2(X0)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k1_lattice2) ).

fof(f2857,axiom,
    ! [X0] :
      ( ( ~ v3_struct_0(X0)
        & v10_lattices(X0)
        & l3_lattices(X0) )
     => ! [X1] :
          ( m2_lattice4(X1,X0)
         => m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m2_lattice4) ).

fof(f2872,axiom,
    ! [X0] :
      ( ( ~ v3_struct_0(X0)
        & v10_lattices(X0)
        & l3_lattices(X0) )
     => ! [X1] :
          ( m1_filter_2(X1,X0)
        <=> m1_filter_0(X1,X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_m1_filter_2) ).

fof(f2873,axiom,
    ! [X0] :
      ( ( ~ v3_struct_0(X0)
        & v10_lattices(X0)
        & l3_lattices(X0) )
     => ! [X1] :
          ( m2_filter_2(X1,X0)
         => ( ~ v1_xboole_0(X1)
            & m2_lattice4(X1,X0) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m2_filter_2) ).

fof(f2877,axiom,
    ! [X0,X1,X2] :
      ( ( ~ v1_xboole_0(X0)
        & m1_subset_1(X1,k1_zfmisc_1(X0))
        & m1_subset_1(X2,k1_zfmisc_1(X0)) )
     => ( r1_filter_2(X0,X1,X2)
      <=> X1 = X2 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_r1_filter_2) ).

fof(f2941,axiom,
    ! [X0] :
      ( ( ~ v3_struct_0(X0)
        & v10_lattices(X0)
        & l3_lattices(X0) )
     => ! [X1] :
          ( m2_filter_2(X1,X0)
        <=> m1_filter_2(X1,k1_lattice2(X0)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t21_filter_2) ).

fof(f2953,axiom,
    ! [X0] :
      ( ( ~ v3_struct_0(X0)
        & v10_lattices(X0)
        & l3_lattices(X0) )
     => k17_filter_2(X0) = u1_struct_0(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d8_filter_2) ).

fof(f2972,conjecture,
    ! [X0] :
      ( ( ~ v3_struct_0(X0)
        & v10_lattices(X0)
        & l3_lattices(X0) )
     => ! [X1] :
          ( m2_filter_2(X1,X0)
         => ( ( v14_lattices(X0)
              & r2_hidden(k6_lattices(X0),X1) )
           => ( r1_filter_2(u1_struct_0(X0),X1,k17_filter_2(X0))
              & X1 = u1_struct_0(X0) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t43_filter_2) ).

fof(f2973,negated_conjecture,
    ~ ! [X0] :
        ( ( ~ v3_struct_0(X0)
          & v10_lattices(X0)
          & l3_lattices(X0) )
       => ! [X1] :
            ( m2_filter_2(X1,X0)
           => ( ( v14_lattices(X0)
                & r2_hidden(k6_lattices(X0),X1) )
             => ( r1_filter_2(u1_struct_0(X0),X1,k17_filter_2(X0))
                & X1 = u1_struct_0(X0) ) ) ) ),
    inference(negated_conjecture,[status(cth)],[f2972]) ).

fof(f2997,plain,
    ! [X0] :
      ( ( ~ v3_struct_0(X0)
        & v10_lattices(X0)
        & l3_lattices(X0) )
     => ( ~ v3_struct_0(k1_lattice2(X0))
        & v3_lattices(k1_lattice2(X0))
        & v5_lattices(k1_lattice2(X0))
        & v6_lattices(k1_lattice2(X0))
        & v7_lattices(k1_lattice2(X0))
        & v8_lattices(k1_lattice2(X0))
        & v9_lattices(k1_lattice2(X0))
        & v10_lattices(k1_lattice2(X0)) ) ),
    inference(pure_predicate_removal,[],[f2569]) ).

fof(f3019,plain,
    ! [X0] :
      ( ! [X1] :
          ( m1_filter_2(X1,X0)
        <=> m1_filter_0(X1,X0) )
      | v3_struct_0(X0)
      | ~ v10_lattices(X0)
      | ~ l3_lattices(X0) ),
    inference(ennf_transformation,[],[f2872]) ).

fof(f3020,plain,
    ! [X0] :
      ( ! [X1] :
          ( m1_filter_2(X1,X0)
        <=> m1_filter_0(X1,X0) )
      | v3_struct_0(X0)
      | ~ v10_lattices(X0)
      | ~ l3_lattices(X0) ),
    inference(flattening,[],[f3019]) ).

fof(f3021,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ~ v1_xboole_0(X1)
            & m2_lattice4(X1,X0) )
          | ~ m2_filter_2(X1,X0) )
      | v3_struct_0(X0)
      | ~ v10_lattices(X0)
      | ~ l3_lattices(X0) ),
    inference(ennf_transformation,[],[f2873]) ).

fof(f3022,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ~ v1_xboole_0(X1)
            & m2_lattice4(X1,X0) )
          | ~ m2_filter_2(X1,X0) )
      | v3_struct_0(X0)
      | ~ v10_lattices(X0)
      | ~ l3_lattices(X0) ),
    inference(flattening,[],[f3021]) ).

fof(f3029,plain,
    ! [X0,X1,X2] :
      ( ( r1_filter_2(X0,X1,X2)
      <=> X1 = X2 )
      | v1_xboole_0(X0)
      | ~ m1_subset_1(X1,k1_zfmisc_1(X0))
      | ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
    inference(ennf_transformation,[],[f2877]) ).

fof(f3030,plain,
    ! [X0,X1,X2] :
      ( ( r1_filter_2(X0,X1,X2)
      <=> X1 = X2 )
      | v1_xboole_0(X0)
      | ~ m1_subset_1(X1,k1_zfmisc_1(X0))
      | ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
    inference(flattening,[],[f3029]) ).

fof(f3154,plain,
    ! [X0] :
      ( ! [X1] :
          ( m2_filter_2(X1,X0)
        <=> m1_filter_2(X1,k1_lattice2(X0)) )
      | v3_struct_0(X0)
      | ~ v10_lattices(X0)
      | ~ l3_lattices(X0) ),
    inference(ennf_transformation,[],[f2941]) ).

fof(f3155,plain,
    ! [X0] :
      ( ! [X1] :
          ( m2_filter_2(X1,X0)
        <=> m1_filter_2(X1,k1_lattice2(X0)) )
      | v3_struct_0(X0)
      | ~ v10_lattices(X0)
      | ~ l3_lattices(X0) ),
    inference(flattening,[],[f3154]) ).

fof(f3178,plain,
    ! [X0] :
      ( k17_filter_2(X0) = u1_struct_0(X0)
      | v3_struct_0(X0)
      | ~ v10_lattices(X0)
      | ~ l3_lattices(X0) ),
    inference(ennf_transformation,[],[f2953]) ).

fof(f3179,plain,
    ! [X0] :
      ( k17_filter_2(X0) = u1_struct_0(X0)
      | v3_struct_0(X0)
      | ~ v10_lattices(X0)
      | ~ l3_lattices(X0) ),
    inference(flattening,[],[f3178]) ).

fof(f3216,plain,
    ? [X0] :
      ( ? [X1] :
          ( ( ~ r1_filter_2(u1_struct_0(X0),X1,k17_filter_2(X0))
            | u1_struct_0(X0) != X1 )
          & v14_lattices(X0)
          & r2_hidden(k6_lattices(X0),X1)
          & m2_filter_2(X1,X0) )
      & ~ v3_struct_0(X0)
      & v10_lattices(X0)
      & l3_lattices(X0) ),
    inference(ennf_transformation,[],[f2973]) ).

fof(f3217,plain,
    ? [X0] :
      ( ? [X1] :
          ( ( ~ r1_filter_2(u1_struct_0(X0),X1,k17_filter_2(X0))
            | u1_struct_0(X0) != X1 )
          & v14_lattices(X0)
          & r2_hidden(k6_lattices(X0),X1)
          & m2_filter_2(X1,X0) )
      & ~ v3_struct_0(X0)
      & v10_lattices(X0)
      & l3_lattices(X0) ),
    inference(flattening,[],[f3216]) ).

fof(f3227,plain,
    ! [X0] :
      ( ! [X1] :
          ( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
          | ~ m2_lattice4(X1,X0) )
      | v3_struct_0(X0)
      | ~ v10_lattices(X0)
      | ~ l3_lattices(X0) ),
    inference(ennf_transformation,[],[f2857]) ).

fof(f3228,plain,
    ! [X0] :
      ( ! [X1] :
          ( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
          | ~ m2_lattice4(X1,X0) )
      | v3_struct_0(X0)
      | ~ v10_lattices(X0)
      | ~ l3_lattices(X0) ),
    inference(flattening,[],[f3227]) ).

fof(f3264,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( X1 = k1_filter_0(X0)
            & X1 = u1_struct_0(X0) )
          | v3_struct_0(X0)
          | ~ v10_lattices(X0)
          | ~ v13_lattices(X0)
          | ~ l3_lattices(X0)
          | ~ r2_hidden(k5_lattices(X0),X1)
          | ~ m1_filter_0(X1,X0) )
      | v3_struct_0(X0)
      | ~ v10_lattices(X0)
      | ~ l3_lattices(X0) ),
    inference(ennf_transformation,[],[f2475]) ).

fof(f3265,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( X1 = k1_filter_0(X0)
            & X1 = u1_struct_0(X0) )
          | v3_struct_0(X0)
          | ~ v10_lattices(X0)
          | ~ v13_lattices(X0)
          | ~ l3_lattices(X0)
          | ~ r2_hidden(k5_lattices(X0),X1)
          | ~ m1_filter_0(X1,X0) )
      | v3_struct_0(X0)
      | ~ v10_lattices(X0)
      | ~ l3_lattices(X0) ),
    inference(flattening,[],[f3264]) ).

fof(f3340,plain,
    ! [X0] :
      ( ( v3_lattices(k1_lattice2(X0))
        & l3_lattices(k1_lattice2(X0)) )
      | ~ l3_lattices(X0) ),
    inference(ennf_transformation,[],[f2669]) ).

fof(f3343,plain,
    ! [X0] :
      ( ( ~ v3_struct_0(k1_lattice2(X0))
        & v3_lattices(k1_lattice2(X0))
        & v5_lattices(k1_lattice2(X0))
        & v6_lattices(k1_lattice2(X0))
        & v7_lattices(k1_lattice2(X0))
        & v8_lattices(k1_lattice2(X0))
        & v9_lattices(k1_lattice2(X0))
        & v10_lattices(k1_lattice2(X0)) )
      | v3_struct_0(X0)
      | ~ v10_lattices(X0)
      | ~ l3_lattices(X0) ),
    inference(ennf_transformation,[],[f2997]) ).

fof(f3344,plain,
    ! [X0] :
      ( ( ~ v3_struct_0(k1_lattice2(X0))
        & v3_lattices(k1_lattice2(X0))
        & v5_lattices(k1_lattice2(X0))
        & v6_lattices(k1_lattice2(X0))
        & v7_lattices(k1_lattice2(X0))
        & v8_lattices(k1_lattice2(X0))
        & v9_lattices(k1_lattice2(X0))
        & v10_lattices(k1_lattice2(X0)) )
      | v3_struct_0(X0)
      | ~ v10_lattices(X0)
      | ~ l3_lattices(X0) ),
    inference(flattening,[],[f3343]) ).

fof(f3345,plain,
    ! [X0] :
      ( ( ~ v3_struct_0(k1_lattice2(X0))
        & v3_lattices(k1_lattice2(X0)) )
      | v3_struct_0(X0)
      | ~ l3_lattices(X0) ),
    inference(ennf_transformation,[],[f2564]) ).

fof(f3346,plain,
    ! [X0] :
      ( ( ~ v3_struct_0(k1_lattice2(X0))
        & v3_lattices(k1_lattice2(X0)) )
      | v3_struct_0(X0)
      | ~ l3_lattices(X0) ),
    inference(flattening,[],[f3345]) ).

fof(f3478,plain,
    ! [X0] :
      ( ( u1_struct_0(X0) = u1_struct_0(k1_lattice2(X0))
        & u2_lattices(X0) = u1_lattices(k1_lattice2(X0))
        & u1_lattices(X0) = u2_lattices(k1_lattice2(X0)) )
      | v3_struct_0(X0)
      | ~ l3_lattices(X0) ),
    inference(ennf_transformation,[],[f2597]) ).

fof(f3479,plain,
    ! [X0] :
      ( ( u1_struct_0(X0) = u1_struct_0(k1_lattice2(X0))
        & u2_lattices(X0) = u1_lattices(k1_lattice2(X0))
        & u1_lattices(X0) = u2_lattices(k1_lattice2(X0)) )
      | v3_struct_0(X0)
      | ~ l3_lattices(X0) ),
    inference(flattening,[],[f3478]) ).

fof(f3508,plain,
    ! [X0] :
      ( ( v14_lattices(X0)
      <=> v13_lattices(k1_lattice2(X0)) )
      | v3_struct_0(X0)
      | ~ v10_lattices(X0)
      | ~ l3_lattices(X0) ),
    inference(ennf_transformation,[],[f2645]) ).

fof(f3509,plain,
    ! [X0] :
      ( ( v14_lattices(X0)
      <=> v13_lattices(k1_lattice2(X0)) )
      | v3_struct_0(X0)
      | ~ v10_lattices(X0)
      | ~ l3_lattices(X0) ),
    inference(flattening,[],[f3508]) ).

fof(f3512,plain,
    ! [X0] :
      ( k6_lattices(X0) = k5_lattices(k1_lattice2(X0))
      | v3_struct_0(X0)
      | ~ v10_lattices(X0)
      | ~ v14_lattices(X0)
      | ~ l3_lattices(X0) ),
    inference(ennf_transformation,[],[f2660]) ).

fof(f3513,plain,
    ! [X0] :
      ( k6_lattices(X0) = k5_lattices(k1_lattice2(X0))
      | v3_struct_0(X0)
      | ~ v10_lattices(X0)
      | ~ v14_lattices(X0)
      | ~ l3_lattices(X0) ),
    inference(flattening,[],[f3512]) ).

fof(f3639,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( m1_filter_2(X1,X0)
            | ~ m1_filter_0(X1,X0) )
          & ( m1_filter_0(X1,X0)
            | ~ m1_filter_2(X1,X0) ) )
      | v3_struct_0(X0)
      | ~ v10_lattices(X0)
      | ~ l3_lattices(X0) ),
    inference(nnf_transformation,[],[f3020]) ).

fof(f3641,plain,
    ! [X0,X1,X2] :
      ( ( ( r1_filter_2(X0,X1,X2)
          | X1 != X2 )
        & ( X1 = X2
          | ~ r1_filter_2(X0,X1,X2) ) )
      | v1_xboole_0(X0)
      | ~ m1_subset_1(X1,k1_zfmisc_1(X0))
      | ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
    inference(nnf_transformation,[],[f3030]) ).

fof(f3659,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( m2_filter_2(X1,X0)
            | ~ m1_filter_2(X1,k1_lattice2(X0)) )
          & ( m1_filter_2(X1,k1_lattice2(X0))
            | ~ m2_filter_2(X1,X0) ) )
      | v3_struct_0(X0)
      | ~ v10_lattices(X0)
      | ~ l3_lattices(X0) ),
    inference(nnf_transformation,[],[f3155]) ).

fof(f3677,plain,
    ( ( ~ r1_filter_2(u1_struct_0(sK20),sK21,k17_filter_2(sK20))
      | sK21 != u1_struct_0(sK20) )
    & v14_lattices(sK20)
    & r2_hidden(k6_lattices(sK20),sK21)
    & m2_filter_2(sK21,sK20)
    & ~ v3_struct_0(sK20)
    & v10_lattices(sK20)
    & l3_lattices(sK20) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK20,sK21]),skolemize(X0,sK20),skolemize(X1,sK21)],[f3217]) ).

fof(f3819,plain,
    ! [X0] :
      ( ( ( v14_lattices(X0)
          | ~ v13_lattices(k1_lattice2(X0)) )
        & ( v13_lattices(k1_lattice2(X0))
          | ~ v14_lattices(X0) ) )
      | v3_struct_0(X0)
      | ~ v10_lattices(X0)
      | ~ l3_lattices(X0) ),
    inference(nnf_transformation,[],[f3509]) ).

fof(f3868,plain,
    ! [X0,X1] :
      ( m1_filter_0(X1,X0)
      | ~ m1_filter_2(X1,X0)
      | v3_struct_0(X0)
      | ~ v10_lattices(X0)
      | ~ l3_lattices(X0) ),
    inference(cnf_transformation,[],[f3639]) ).

fof(f3870,plain,
    ! [X0,X1] :
      ( m2_lattice4(X1,X0)
      | ~ m2_filter_2(X1,X0)
      | v3_struct_0(X0)
      | ~ v10_lattices(X0)
      | ~ l3_lattices(X0) ),
    inference(cnf_transformation,[],[f3022]) ).

fof(f3871,plain,
    ! [X0,X1] :
      ( ~ v1_xboole_0(X1)
      | ~ m2_filter_2(X1,X0)
      | v3_struct_0(X0)
      | ~ v10_lattices(X0)
      | ~ l3_lattices(X0) ),
    inference(cnf_transformation,[],[f3022]) ).

fof(f3876,plain,
    ! [X2,X0,X1] :
      ( r1_filter_2(X0,X1,X2)
      | X1 != X2
      | v1_xboole_0(X0)
      | ~ m1_subset_1(X1,k1_zfmisc_1(X0))
      | ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
    inference(cnf_transformation,[],[f3641]) ).

fof(f3981,plain,
    ! [X0,X1] :
      ( m1_filter_2(X1,k1_lattice2(X0))
      | ~ m2_filter_2(X1,X0)
      | v3_struct_0(X0)
      | ~ v10_lattices(X0)
      | ~ l3_lattices(X0) ),
    inference(cnf_transformation,[],[f3659]) ).

fof(f4022,plain,
    ! [X0] :
      ( u1_struct_0(X0) = k17_filter_2(X0)
      | v3_struct_0(X0)
      | ~ v10_lattices(X0)
      | ~ l3_lattices(X0) ),
    inference(cnf_transformation,[],[f3179]) ).

fof(f4065,plain,
    l3_lattices(sK20),
    inference(cnf_transformation,[],[f3677]) ).

fof(f4066,plain,
    v10_lattices(sK20),
    inference(cnf_transformation,[],[f3677]) ).

fof(f4067,plain,
    ~ v3_struct_0(sK20),
    inference(cnf_transformation,[],[f3677]) ).

fof(f4068,plain,
    m2_filter_2(sK21,sK20),
    inference(cnf_transformation,[],[f3677]) ).

fof(f4069,plain,
    r2_hidden(k6_lattices(sK20),sK21),
    inference(cnf_transformation,[],[f3677]) ).

fof(f4070,plain,
    v14_lattices(sK20),
    inference(cnf_transformation,[],[f3677]) ).

fof(f4071,plain,
    ( ~ r1_filter_2(u1_struct_0(sK20),sK21,k17_filter_2(sK20))
    | sK21 != u1_struct_0(sK20) ),
    inference(cnf_transformation,[],[f3677]) ).

fof(f4092,plain,
    ! [X0,X1] :
      ( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
      | ~ m2_lattice4(X1,X0)
      | v3_struct_0(X0)
      | ~ v10_lattices(X0)
      | ~ l3_lattices(X0) ),
    inference(cnf_transformation,[],[f3228]) ).

fof(f4140,plain,
    ! [X0,X1] :
      ( u1_struct_0(X0) = X1
      | v3_struct_0(X0)
      | ~ v10_lattices(X0)
      | ~ v13_lattices(X0)
      | ~ l3_lattices(X0)
      | ~ r2_hidden(k5_lattices(X0),X1)
      | ~ m1_filter_0(X1,X0)
      | v3_struct_0(X0)
      | ~ v10_lattices(X0)
      | ~ l3_lattices(X0) ),
    inference(cnf_transformation,[],[f3265]) ).

fof(f4220,plain,
    ! [X0] :
      ( l3_lattices(k1_lattice2(X0))
      | ~ l3_lattices(X0) ),
    inference(cnf_transformation,[],[f3340]) ).

fof(f4223,plain,
    ! [X0] :
      ( v10_lattices(k1_lattice2(X0))
      | v3_struct_0(X0)
      | ~ v10_lattices(X0)
      | ~ l3_lattices(X0) ),
    inference(cnf_transformation,[],[f3344]) ).

fof(f4232,plain,
    ! [X0] :
      ( ~ v3_struct_0(k1_lattice2(X0))
      | v3_struct_0(X0)
      | ~ l3_lattices(X0) ),
    inference(cnf_transformation,[],[f3346]) ).

fof(f4429,plain,
    ! [X0] :
      ( u1_struct_0(X0) = u1_struct_0(k1_lattice2(X0))
      | v3_struct_0(X0)
      | ~ l3_lattices(X0) ),
    inference(cnf_transformation,[],[f3479]) ).

fof(f4464,plain,
    ! [X0] :
      ( v13_lattices(k1_lattice2(X0))
      | ~ v14_lattices(X0)
      | v3_struct_0(X0)
      | ~ v10_lattices(X0)
      | ~ l3_lattices(X0) ),
    inference(cnf_transformation,[],[f3819]) ).

fof(f4468,plain,
    ! [X0] :
      ( k6_lattices(X0) = k5_lattices(k1_lattice2(X0))
      | v3_struct_0(X0)
      | ~ v10_lattices(X0)
      | ~ v14_lattices(X0)
      | ~ l3_lattices(X0) ),
    inference(cnf_transformation,[],[f3513]) ).

fof(f4676,plain,
    ! [X2,X0] :
      ( r1_filter_2(X0,X2,X2)
      | v1_xboole_0(X0)
      | ~ m1_subset_1(X2,k1_zfmisc_1(X0))
      | ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
    inference(equality_resolution,[],[f3876]) ).

fof(f4823,plain,
    ! [X2,X0] :
      ( r1_filter_2(X0,X2,X2)
      | v1_xboole_0(X0)
      | ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
    inference(duplicate_literal_removal,[],[f4676]) ).

fof(f4827,plain,
    ! [X0,X1] :
      ( u1_struct_0(X0) = X1
      | v3_struct_0(X0)
      | ~ v10_lattices(X0)
      | ~ v13_lattices(X0)
      | ~ l3_lattices(X0)
      | ~ r2_hidden(k5_lattices(X0),X1)
      | ~ m1_filter_0(X1,X0) ),
    inference(duplicate_literal_removal,[],[f4140]) ).

fof(f4852,definition,
    ( spl182_1
  <=> v3_struct_0(sK20) ),
    introduced(definition,[new_symbols(definition,[spl182_1])],[avatar_definition]) ).

fof(f4854,plain,
    ( ~ v3_struct_0(sK20)
    | spl182_1 ),
    inference(avatar_component_clause,[],[f4852]) ).

fof(f4855,plain,
    ~ spl182_1,
    inference(avatar_split_clause,[],[f4067,f4852]) ).

fof(f4857,definition,
    ( spl182_2
  <=> m2_filter_2(sK21,sK20) ),
    introduced(definition,[new_symbols(definition,[spl182_2])],[avatar_definition]) ).

fof(f4859,plain,
    ( m2_filter_2(sK21,sK20)
    | ~ spl182_2 ),
    inference(avatar_component_clause,[],[f4857]) ).

fof(f4860,plain,
    spl182_2,
    inference(avatar_split_clause,[],[f4068,f4857]) ).

fof(f4861,plain,
    ( m2_lattice4(sK21,sK20)
    | v3_struct_0(sK20)
    | ~ v10_lattices(sK20)
    | ~ l3_lattices(sK20)
    | ~ spl182_2 ),
    inference(resolution,[],[f4859,f3870]) ).

fof(f4862,plain,
    ( ~ v1_xboole_0(sK21)
    | v3_struct_0(sK20)
    | ~ v10_lattices(sK20)
    | ~ l3_lattices(sK20)
    | ~ spl182_2 ),
    inference(resolution,[],[f4859,f3871]) ).

fof(f4873,plain,
    ( m1_filter_2(sK21,k1_lattice2(sK20))
    | v3_struct_0(sK20)
    | ~ v10_lattices(sK20)
    | ~ l3_lattices(sK20)
    | ~ spl182_2 ),
    inference(resolution,[],[f4859,f3981]) ).

fof(f4920,plain,
    ( m1_filter_2(sK21,k1_lattice2(sK20))
    | ~ v10_lattices(sK20)
    | ~ l3_lattices(sK20)
    | spl182_1
    | ~ spl182_2 ),
    inference(forward_subsumption_resolution,[],[f4873,f4854]) ).

fof(f4931,plain,
    ( ~ v1_xboole_0(sK21)
    | ~ v10_lattices(sK20)
    | ~ l3_lattices(sK20)
    | spl182_1
    | ~ spl182_2 ),
    inference(forward_subsumption_resolution,[],[f4862,f4854]) ).

fof(f4932,plain,
    ( m2_lattice4(sK21,sK20)
    | ~ v10_lattices(sK20)
    | ~ l3_lattices(sK20)
    | spl182_1
    | ~ spl182_2 ),
    inference(forward_subsumption_resolution,[],[f4861,f4854]) ).

fof(f4956,plain,
    ( m1_filter_2(sK21,k1_lattice2(sK20))
    | ~ l3_lattices(sK20)
    | spl182_1
    | ~ spl182_2 ),
    inference(forward_subsumption_resolution,[],[f4920,f4066]) ).

fof(f4967,plain,
    ( ~ v1_xboole_0(sK21)
    | ~ l3_lattices(sK20)
    | spl182_1
    | ~ spl182_2 ),
    inference(forward_subsumption_resolution,[],[f4931,f4066]) ).

fof(f4968,plain,
    ( m2_lattice4(sK21,sK20)
    | ~ l3_lattices(sK20)
    | spl182_1
    | ~ spl182_2 ),
    inference(forward_subsumption_resolution,[],[f4932,f4066]) ).

fof(f4992,plain,
    ( m1_filter_2(sK21,k1_lattice2(sK20))
    | spl182_1
    | ~ spl182_2 ),
    inference(forward_subsumption_resolution,[],[f4956,f4065]) ).

fof(f5003,plain,
    ( ~ v1_xboole_0(sK21)
    | spl182_1
    | ~ spl182_2 ),
    inference(forward_subsumption_resolution,[],[f4967,f4065]) ).

fof(f5004,plain,
    ( m2_lattice4(sK21,sK20)
    | spl182_1
    | ~ spl182_2 ),
    inference(forward_subsumption_resolution,[],[f4968,f4065]) ).

fof(f5022,definition,
    ( spl182_3
  <=> l3_lattices(sK20) ),
    introduced(definition,[new_symbols(definition,[spl182_3])],[avatar_definition]) ).

fof(f5024,plain,
    ( l3_lattices(sK20)
    | ~ spl182_3 ),
    inference(avatar_component_clause,[],[f5022]) ).

fof(f5025,plain,
    spl182_3,
    inference(avatar_split_clause,[],[f4065,f5022]) ).

fof(f5027,definition,
    ( spl182_4
  <=> v10_lattices(sK20) ),
    introduced(definition,[new_symbols(definition,[spl182_4])],[avatar_definition]) ).

fof(f5029,plain,
    ( v10_lattices(sK20)
    | ~ spl182_4 ),
    inference(avatar_component_clause,[],[f5027]) ).

fof(f5030,plain,
    spl182_4,
    inference(avatar_split_clause,[],[f4066,f5027]) ).

fof(f5032,definition,
    ( spl182_5
  <=> r2_hidden(k6_lattices(sK20),sK21) ),
    introduced(definition,[new_symbols(definition,[spl182_5])],[avatar_definition]) ).

fof(f5034,plain,
    ( r2_hidden(k6_lattices(sK20),sK21)
    | ~ spl182_5 ),
    inference(avatar_component_clause,[],[f5032]) ).

fof(f5035,plain,
    spl182_5,
    inference(avatar_split_clause,[],[f4069,f5032]) ).

fof(f5037,definition,
    ( spl182_6
  <=> v14_lattices(sK20) ),
    introduced(definition,[new_symbols(definition,[spl182_6])],[avatar_definition]) ).

fof(f5039,plain,
    ( v14_lattices(sK20)
    | ~ spl182_6 ),
    inference(avatar_component_clause,[],[f5037]) ).

fof(f5040,plain,
    spl182_6,
    inference(avatar_split_clause,[],[f4070,f5037]) ).

fof(f5042,definition,
    ( spl182_7
  <=> sK21 = u1_struct_0(sK20) ),
    introduced(definition,[new_symbols(definition,[spl182_7])],[avatar_definition]) ).

fof(f5043,plain,
    ( sK21 = u1_struct_0(sK20)
    | ~ spl182_7 ),
    inference(avatar_component_clause,[],[f5042]) ).

fof(f5044,plain,
    ( sK21 != u1_struct_0(sK20)
    | spl182_7 ),
    inference(avatar_component_clause,[],[f5042]) ).

fof(f5046,definition,
    ( spl182_8
  <=> r1_filter_2(u1_struct_0(sK20),sK21,k17_filter_2(sK20)) ),
    introduced(definition,[new_symbols(definition,[spl182_8])],[avatar_definition]) ).

fof(f5048,plain,
    ( ~ r1_filter_2(u1_struct_0(sK20),sK21,k17_filter_2(sK20))
    | spl182_8 ),
    inference(avatar_component_clause,[],[f5046]) ).

fof(f5049,plain,
    ( ~ spl182_7
    | ~ spl182_8 ),
    inference(avatar_split_clause,[],[f4071,f5046,f5042]) ).

fof(f5183,plain,
    ( u1_struct_0(sK20) = k17_filter_2(sK20)
    | ~ v10_lattices(sK20)
    | ~ l3_lattices(sK20)
    | spl182_1 ),
    inference(resolution,[],[f4854,f4022]) ).

fof(f5298,plain,
    ( v10_lattices(k1_lattice2(sK20))
    | ~ v10_lattices(sK20)
    | ~ l3_lattices(sK20)
    | spl182_1 ),
    inference(resolution,[],[f4854,f4223]) ).

fof(f5307,plain,
    ( ~ v3_struct_0(k1_lattice2(sK20))
    | ~ l3_lattices(sK20)
    | spl182_1 ),
    inference(resolution,[],[f4854,f4232]) ).

fof(f5322,plain,
    ( u1_struct_0(sK20) = u1_struct_0(k1_lattice2(sK20))
    | ~ l3_lattices(sK20)
    | spl182_1 ),
    inference(resolution,[],[f4854,f4429]) ).

fof(f5357,plain,
    ( v13_lattices(k1_lattice2(sK20))
    | ~ v14_lattices(sK20)
    | ~ v10_lattices(sK20)
    | ~ l3_lattices(sK20)
    | spl182_1 ),
    inference(resolution,[],[f4854,f4464]) ).

fof(f5361,plain,
    ( k6_lattices(sK20) = k5_lattices(k1_lattice2(sK20))
    | ~ v10_lattices(sK20)
    | ~ v14_lattices(sK20)
    | ~ l3_lattices(sK20)
    | spl182_1 ),
    inference(resolution,[],[f4854,f4468]) ).

fof(f5745,plain,
    ( k6_lattices(sK20) = k5_lattices(k1_lattice2(sK20))
    | ~ v14_lattices(sK20)
    | ~ l3_lattices(sK20)
    | spl182_1
    | ~ spl182_4 ),
    inference(forward_subsumption_resolution,[],[f5361,f5029]) ).

fof(f5748,plain,
    ( v13_lattices(k1_lattice2(sK20))
    | ~ v10_lattices(sK20)
    | ~ l3_lattices(sK20)
    | spl182_1
    | ~ spl182_6 ),
    inference(forward_subsumption_resolution,[],[f5357,f5039]) ).

fof(f5783,plain,
    ( u1_struct_0(sK20) = u1_struct_0(k1_lattice2(sK20))
    | spl182_1
    | ~ spl182_3 ),
    inference(forward_subsumption_resolution,[],[f5322,f5024]) ).

fof(f5797,plain,
    ( ~ v3_struct_0(k1_lattice2(sK20))
    | spl182_1
    | ~ spl182_3 ),
    inference(forward_subsumption_resolution,[],[f5307,f5024]) ).

fof(f5804,plain,
    ( v10_lattices(k1_lattice2(sK20))
    | ~ l3_lattices(sK20)
    | spl182_1
    | ~ spl182_4 ),
    inference(forward_subsumption_resolution,[],[f5298,f5029]) ).

fof(f5919,plain,
    ( u1_struct_0(sK20) = k17_filter_2(sK20)
    | ~ l3_lattices(sK20)
    | spl182_1
    | ~ spl182_4 ),
    inference(forward_subsumption_resolution,[],[f5183,f5029]) ).

fof(f6205,plain,
    ( k6_lattices(sK20) = k5_lattices(k1_lattice2(sK20))
    | ~ l3_lattices(sK20)
    | spl182_1
    | ~ spl182_4
    | ~ spl182_6 ),
    inference(forward_subsumption_resolution,[],[f5745,f5039]) ).

fof(f6208,plain,
    ( v13_lattices(k1_lattice2(sK20))
    | ~ l3_lattices(sK20)
    | spl182_1
    | ~ spl182_4
    | ~ spl182_6 ),
    inference(forward_subsumption_resolution,[],[f5748,f5029]) ).

fof(f6230,plain,
    ( v10_lattices(k1_lattice2(sK20))
    | spl182_1
    | ~ spl182_3
    | ~ spl182_4 ),
    inference(forward_subsumption_resolution,[],[f5804,f5024]) ).

fof(f6344,plain,
    ( u1_struct_0(sK20) = k17_filter_2(sK20)
    | spl182_1
    | ~ spl182_3
    | ~ spl182_4 ),
    inference(forward_subsumption_resolution,[],[f5919,f5024]) ).

fof(f6510,plain,
    ( k6_lattices(sK20) = k5_lattices(k1_lattice2(sK20))
    | spl182_1
    | ~ spl182_3
    | ~ spl182_4
    | ~ spl182_6 ),
    inference(forward_subsumption_resolution,[],[f6205,f5024]) ).

fof(f6511,plain,
    ( v13_lattices(k1_lattice2(sK20))
    | spl182_1
    | ~ spl182_3
    | ~ spl182_4
    | ~ spl182_6 ),
    inference(forward_subsumption_resolution,[],[f6208,f5024]) ).

fof(f7031,plain,
    ( l3_lattices(k1_lattice2(sK20))
    | ~ spl182_3 ),
    inference(resolution,[],[f5024,f4220]) ).

fof(f8107,plain,
    ( ~ r1_filter_2(u1_struct_0(sK20),sK21,u1_struct_0(sK20))
    | spl182_1
    | ~ spl182_3
    | ~ spl182_4
    | spl182_8 ),
    inference(forward_demodulation,[],[f5048,f6344]) ).

fof(f8108,plain,
    ( ~ r1_filter_2(sK21,sK21,sK21)
    | spl182_1
    | ~ spl182_3
    | ~ spl182_4
    | ~ spl182_7
    | spl182_8 ),
    inference(forward_demodulation,[],[f8107,f5043]) ).

fof(f10914,definition,
    ( spl182_11
  <=> r1_filter_2(sK21,sK21,sK21) ),
    introduced(definition,[new_symbols(definition,[spl182_11])],[avatar_definition]) ).

fof(f10916,plain,
    ( ~ r1_filter_2(sK21,sK21,sK21)
    | spl182_11 ),
    inference(avatar_component_clause,[],[f10914]) ).

fof(f10917,plain,
    ( ~ spl182_11
    | spl182_1
    | ~ spl182_3
    | ~ spl182_4
    | ~ spl182_7
    | spl182_8 ),
    inference(avatar_split_clause,[],[f8108,f5046,f5042,f5027,f5022,f4852,f10914]) ).

fof(f10918,plain,
    ( v1_xboole_0(sK21)
    | ~ m1_subset_1(sK21,k1_zfmisc_1(sK21))
    | spl182_11 ),
    inference(resolution,[],[f10916,f4823]) ).

fof(f10932,plain,
    ( ~ m1_subset_1(sK21,k1_zfmisc_1(sK21))
    | spl182_1
    | ~ spl182_2
    | spl182_11 ),
    inference(forward_subsumption_resolution,[],[f10918,f5003]) ).

fof(f10951,definition,
    ( spl182_15
  <=> m2_lattice4(sK21,sK20) ),
    introduced(definition,[new_symbols(definition,[spl182_15])],[avatar_definition]) ).

fof(f10953,plain,
    ( m2_lattice4(sK21,sK20)
    | ~ spl182_15 ),
    inference(avatar_component_clause,[],[f10951]) ).

fof(f10954,plain,
    ( spl182_15
    | spl182_1
    | ~ spl182_2 ),
    inference(avatar_split_clause,[],[f5004,f4857,f4852,f10951]) ).

fof(f10969,plain,
    ( m1_subset_1(sK21,k1_zfmisc_1(u1_struct_0(sK20)))
    | v3_struct_0(sK20)
    | ~ v10_lattices(sK20)
    | ~ l3_lattices(sK20)
    | ~ spl182_15 ),
    inference(resolution,[],[f10953,f4092]) ).

fof(f10974,plain,
    ( m1_subset_1(sK21,k1_zfmisc_1(u1_struct_0(sK20)))
    | ~ v10_lattices(sK20)
    | ~ l3_lattices(sK20)
    | spl182_1
    | ~ spl182_15 ),
    inference(forward_subsumption_resolution,[],[f10969,f4854]) ).

fof(f10986,plain,
    ( m1_subset_1(sK21,k1_zfmisc_1(u1_struct_0(sK20)))
    | ~ l3_lattices(sK20)
    | spl182_1
    | ~ spl182_4
    | ~ spl182_15 ),
    inference(forward_subsumption_resolution,[],[f10974,f5029]) ).

fof(f10994,plain,
    ( m1_subset_1(sK21,k1_zfmisc_1(u1_struct_0(sK20)))
    | spl182_1
    | ~ spl182_3
    | ~ spl182_4
    | ~ spl182_15 ),
    inference(forward_subsumption_resolution,[],[f10986,f5024]) ).

fof(f11002,plain,
    ( m1_subset_1(sK21,k1_zfmisc_1(sK21))
    | spl182_1
    | ~ spl182_3
    | ~ spl182_4
    | ~ spl182_7
    | ~ spl182_15 ),
    inference(forward_demodulation,[],[f10994,f5043]) ).

fof(f11009,plain,
    ( $false
    | spl182_1
    | ~ spl182_2
    | ~ spl182_3
    | ~ spl182_4
    | ~ spl182_7
    | spl182_11
    | ~ spl182_15 ),
    inference(forward_subsumption_resolution,[],[f11002,f10932]) ).

fof(f11010,plain,
    ( spl182_1
    | ~ spl182_2
    | ~ spl182_3
    | ~ spl182_4
    | ~ spl182_7
    | spl182_11
    | ~ spl182_15 ),
    inference(avatar_contradiction_clause,[],[f11009]) ).

fof(f11948,definition,
    ( spl182_25
  <=> m1_filter_2(sK21,k1_lattice2(sK20)) ),
    introduced(definition,[new_symbols(definition,[spl182_25])],[avatar_definition]) ).

fof(f11950,plain,
    ( m1_filter_2(sK21,k1_lattice2(sK20))
    | ~ spl182_25 ),
    inference(avatar_component_clause,[],[f11948]) ).

fof(f11951,plain,
    ( spl182_25
    | spl182_1
    | ~ spl182_2 ),
    inference(avatar_split_clause,[],[f4992,f4857,f4852,f11948]) ).

fof(f11959,plain,
    ( m1_filter_0(sK21,k1_lattice2(sK20))
    | v3_struct_0(k1_lattice2(sK20))
    | ~ v10_lattices(k1_lattice2(sK20))
    | ~ l3_lattices(k1_lattice2(sK20))
    | ~ spl182_25 ),
    inference(resolution,[],[f11950,f3868]) ).

fof(f11967,plain,
    ( m1_filter_0(sK21,k1_lattice2(sK20))
    | ~ v10_lattices(k1_lattice2(sK20))
    | ~ l3_lattices(k1_lattice2(sK20))
    | spl182_1
    | ~ spl182_3
    | ~ spl182_25 ),
    inference(forward_subsumption_resolution,[],[f11959,f5797]) ).

fof(f11972,plain,
    ( m1_filter_0(sK21,k1_lattice2(sK20))
    | ~ l3_lattices(k1_lattice2(sK20))
    | spl182_1
    | ~ spl182_3
    | ~ spl182_4
    | ~ spl182_25 ),
    inference(forward_subsumption_resolution,[],[f11967,f6230]) ).

fof(f11975,plain,
    ( m1_filter_0(sK21,k1_lattice2(sK20))
    | spl182_1
    | ~ spl182_3
    | ~ spl182_4
    | ~ spl182_25 ),
    inference(forward_subsumption_resolution,[],[f11972,f7031]) ).

fof(f12164,definition,
    ( spl182_30
  <=> m1_filter_0(sK21,k1_lattice2(sK20)) ),
    introduced(definition,[new_symbols(definition,[spl182_30])],[avatar_definition]) ).

fof(f12166,plain,
    ( m1_filter_0(sK21,k1_lattice2(sK20))
    | ~ spl182_30 ),
    inference(avatar_component_clause,[],[f12164]) ).

fof(f12167,plain,
    ( spl182_30
    | spl182_1
    | ~ spl182_3
    | ~ spl182_4
    | ~ spl182_25 ),
    inference(avatar_split_clause,[],[f11975,f11948,f5027,f5022,f4852,f12164]) ).

fof(f12536,plain,
    ( sK21 = u1_struct_0(k1_lattice2(sK20))
    | v3_struct_0(k1_lattice2(sK20))
    | ~ v10_lattices(k1_lattice2(sK20))
    | ~ v13_lattices(k1_lattice2(sK20))
    | ~ l3_lattices(k1_lattice2(sK20))
    | ~ r2_hidden(k5_lattices(k1_lattice2(sK20)),sK21)
    | ~ spl182_30 ),
    inference(resolution,[],[f12166,f4827]) ).

fof(f12543,plain,
    ( sK21 = u1_struct_0(k1_lattice2(sK20))
    | ~ v10_lattices(k1_lattice2(sK20))
    | ~ v13_lattices(k1_lattice2(sK20))
    | ~ l3_lattices(k1_lattice2(sK20))
    | ~ r2_hidden(k5_lattices(k1_lattice2(sK20)),sK21)
    | spl182_1
    | ~ spl182_3
    | ~ spl182_30 ),
    inference(forward_subsumption_resolution,[],[f12536,f5797]) ).

fof(f12583,plain,
    ( sK21 = u1_struct_0(k1_lattice2(sK20))
    | ~ v13_lattices(k1_lattice2(sK20))
    | ~ l3_lattices(k1_lattice2(sK20))
    | ~ r2_hidden(k5_lattices(k1_lattice2(sK20)),sK21)
    | spl182_1
    | ~ spl182_3
    | ~ spl182_4
    | ~ spl182_30 ),
    inference(forward_subsumption_resolution,[],[f12543,f6230]) ).

fof(f12621,plain,
    ( sK21 = u1_struct_0(k1_lattice2(sK20))
    | ~ l3_lattices(k1_lattice2(sK20))
    | ~ r2_hidden(k5_lattices(k1_lattice2(sK20)),sK21)
    | spl182_1
    | ~ spl182_3
    | ~ spl182_4
    | ~ spl182_6
    | ~ spl182_30 ),
    inference(forward_subsumption_resolution,[],[f12583,f6511]) ).

fof(f12658,plain,
    ( sK21 = u1_struct_0(k1_lattice2(sK20))
    | ~ r2_hidden(k5_lattices(k1_lattice2(sK20)),sK21)
    | spl182_1
    | ~ spl182_3
    | ~ spl182_4
    | ~ spl182_6
    | ~ spl182_30 ),
    inference(forward_subsumption_resolution,[],[f12621,f7031]) ).

fof(f12682,plain,
    ( sK21 = u1_struct_0(sK20)
    | ~ r2_hidden(k5_lattices(k1_lattice2(sK20)),sK21)
    | spl182_1
    | ~ spl182_3
    | ~ spl182_4
    | ~ spl182_6
    | ~ spl182_30 ),
    inference(forward_demodulation,[],[f12658,f5783]) ).

fof(f12698,plain,
    ( ~ r2_hidden(k5_lattices(k1_lattice2(sK20)),sK21)
    | spl182_1
    | ~ spl182_3
    | ~ spl182_4
    | ~ spl182_6
    | spl182_7
    | ~ spl182_30 ),
    inference(forward_subsumption_resolution,[],[f12682,f5044]) ).

fof(f12710,plain,
    ( ~ r2_hidden(k6_lattices(sK20),sK21)
    | spl182_1
    | ~ spl182_3
    | ~ spl182_4
    | ~ spl182_6
    | spl182_7
    | ~ spl182_30 ),
    inference(forward_demodulation,[],[f12698,f6510]) ).

fof(f12718,plain,
    ( $false
    | spl182_1
    | ~ spl182_3
    | ~ spl182_4
    | ~ spl182_5
    | ~ spl182_6
    | spl182_7
    | ~ spl182_30 ),
    inference(forward_subsumption_resolution,[],[f12710,f5034]) ).

fof(f12719,plain,
    ( spl182_1
    | ~ spl182_3
    | ~ spl182_4
    | ~ spl182_5
    | ~ spl182_6
    | spl182_7
    | ~ spl182_30 ),
    inference(avatar_contradiction_clause,[],[f12718]) ).

cnf(s1,plain,
    ~ spl182_1,
    inference(sat_conversion,[],[f4855]) ).

cnf(s2,plain,
    spl182_2,
    inference(sat_conversion,[],[f4860]) ).

cnf(s3,plain,
    spl182_3,
    inference(sat_conversion,[],[f5025]) ).

cnf(s4,plain,
    spl182_4,
    inference(sat_conversion,[],[f5030]) ).

cnf(s5,plain,
    spl182_5,
    inference(sat_conversion,[],[f5035]) ).

cnf(s6,plain,
    spl182_6,
    inference(sat_conversion,[],[f5040]) ).

cnf(s7,plain,
    ( ~ spl182_7
    | ~ spl182_8 ),
    inference(sat_conversion,[],[f5049]) ).

cnf(s10,plain,
    ( spl182_1
    | ~ spl182_3
    | ~ spl182_4
    | ~ spl182_7
    | spl182_8
    | ~ spl182_11 ),
    inference(sat_conversion,[],[f10917]) ).

cnf(s13,plain,
    ( spl182_1
    | ~ spl182_2
    | spl182_15 ),
    inference(sat_conversion,[],[f10954]) ).

cnf(s14,plain,
    ( spl182_1
    | ~ spl182_2
    | ~ spl182_3
    | ~ spl182_4
    | ~ spl182_7
    | spl182_11
    | ~ spl182_15 ),
    inference(sat_conversion,[],[f11010]) ).

cnf(s24,plain,
    ( spl182_1
    | ~ spl182_2
    | spl182_25 ),
    inference(sat_conversion,[],[f11951]) ).

cnf(s29,plain,
    ( spl182_1
    | ~ spl182_3
    | ~ spl182_4
    | ~ spl182_25
    | spl182_30 ),
    inference(sat_conversion,[],[f12167]) ).

cnf(s33,plain,
    ( spl182_1
    | ~ spl182_3
    | ~ spl182_4
    | ~ spl182_5
    | ~ spl182_6
    | spl182_7
    | ~ spl182_30 ),
    inference(sat_conversion,[],[f12719]) ).

cnf(s37,plain,
    spl182_25,
    inference(rat,[],[s24,s2,s1]) ).

cnf(s38,plain,
    spl182_15,
    inference(rat,[],[s13,s2,s1]) ).

cnf(s40,plain,
    spl182_30,
    inference(rat,[],[s29,s1,s3,s4,s37]) ).

cnf(s44,plain,
    spl182_7,
    inference(rat,[],[s33,s1,s3,s6,s5,s4,s40]) ).

cnf(s46,plain,
    ~ spl182_8,
    inference(rat,[],[s7,s44]) ).

cnf(s47,plain,
    spl182_11,
    inference(rat,[],[s14,s38,s1,s2,s4,s3,s44]) ).

cnf(s50,plain,
    $false,
    inference(rat,[],[s10,s44,s1,s3,s4,s47,s46]) ).

fof(f12725,plain,
    $false,
    inference(avatar_sat_refutation,[],[s50]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : LAT313+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.39  % Computer : n006.cluster.edu
% 0.11/0.39  % Model    : x86_64 x86_64
% 0.11/0.39  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39  % Memory   : 8046.5625MB
% 0.11/0.39  % OS       : Linux 6.8.0-71-generic
% 0.11/0.39  % CPULimit : 300
% 0.11/0.39  % WCLimit  : 300
% 0.11/0.39  % DateTime : Sun Sep 27 14:29:56 UTC 2026
% 0.11/0.40  % CPUTime  : 
% 0.11/0.40  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.43  Running first-order theorem proving
% 0.11/0.43  Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 12.31/2.75  % (3039802)Detected formulas, will run a generic FOF schedule.
% 12.31/2.75  % (3039813)dis-21_1_sil=8000:lcm=predicate:random_seed=310940151:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2998 on theBenchmark for (2998ds/129Mi)
% 12.31/2.75  % (3039811)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3928396584:i=119:av=off:ss=axioms_2998 on theBenchmark for (2998ds/119Mi)
% 12.31/2.75  % (3039807)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=1630979804:i=141193_2998 on theBenchmark for (2998ds/141193Mi)
% 12.31/2.75  % (3039809)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=3134172412:i=141695:sd=1:nm=32:gsp=on:ss=included_2998 on theBenchmark for (2998ds/141695Mi)
% 12.31/2.75  % (3039808)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=1404890744:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2998 on theBenchmark for (2998ds/134677Mi)
% 12.31/2.75  % (3039810)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=61748188:i=109:sd=1:ins=1:gsp=on:ss=axioms_2998 on theBenchmark for (2998ds/109Mi)
% 12.31/2.75  % (3039813)Instruction limit reached! 
% 12.31/2.75  % (3039813)------------------------------
% 12.31/2.75  % (3039813)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.31/2.75  % (3039813)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.31/2.75  % (3039813)CaDiCaL version: 2.1.3
% 12.31/2.75  % (3039813)Termination reason: Instruction limit
% 12.31/2.75  % (3039813)Termination phase: Function definition elimination
% 12.31/2.75  % (3039813)Time elapsed: 0.047 s
% 12.31/2.75  % (3039813)Peak memory usage: 93 MB
% 12.31/2.75  % (3039813)Instructions burned: 132 (million)
% 12.31/2.75  % (3039812)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1872676530:s2a=on:i=139:gtg=position_2998 on theBenchmark for (2998ds/139Mi)
% 12.31/2.75  % (3039810)Instruction limit reached! 
% 12.31/2.75  % (3039810)------------------------------
% 12.31/2.75  % (3039810)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.31/2.75  % (3039810)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.31/2.75  % (3039810)CaDiCaL version: 2.1.3
% 12.31/2.75  % (3039810)Termination reason: Instruction limit
% 12.31/2.75  % (3039810)Termination phase: Saturation
% 12.31/2.75  % (3039810)Time elapsed: 0.070 s
% 12.31/2.75  % (3039810)Peak memory usage: 92 MB
% 12.31/2.75  % (3039810)Instructions burned: 109 (million)
% 12.31/2.75  % (3039811)Instruction limit reached! 
% 12.31/2.75  % (3039811)------------------------------
% 12.31/2.75  % (3039811)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.31/2.75  % (3039811)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.31/2.75  % (3039811)CaDiCaL version: 2.1.3
% 12.31/2.75  % (3039811)Termination reason: Instruction limit
% 12.31/2.75  % (3039811)Termination phase: Saturation
% 12.31/2.75  % (3039811)Time elapsed: 0.077 s
% 12.31/2.75  % (3039811)Peak memory usage: 93 MB
% 12.31/2.75  % (3039811)Instructions burned: 119 (million)
% 12.31/2.75  % (3039812)Instruction limit reached! 
% 12.31/2.75  % (3039812)------------------------------
% 12.31/2.75  % (3039812)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.31/2.75  % (3039812)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.31/2.75  % (3039812)CaDiCaL version: 2.1.3
% 12.31/2.75  % (3039812)Termination reason: Instruction limit
% 12.31/2.75  % (3039812)Termination phase: Property scanning
% 12.31/2.75  % (3039812)Time elapsed: 0.090 s
% 12.31/2.75  % (3039812)Peak memory usage: 94 MB
% 12.31/2.75  % (3039812)Instructions burned: 141 (million)
% 12.31/2.75  % (3039820)lrs+10_1_sil=8000:sp=occurrence:random_seed=2044304119:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 12.31/2.75  % (3039822)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1074710192:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 12.31/2.75  % (3039820)Instruction limit reached! 
% 12.31/2.75  % (3039820)------------------------------
% 12.31/2.75  % (3039820)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.31/2.75  % (3039820)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.31/2.75  % (3039820)CaDiCaL version: 2.1.3
% 12.31/2.75  % (3039820)Termination reason: Instruction limit
% 12.31/2.75  % (3039820)Termination phase: Saturation
% 12.31/2.75  % (3039820)Time elapsed: 0.098 s
% 12.31/2.75  % (3039820)Peak memory usage: 95 MB
% 12.31/2.75  % (3039820)Instructions burned: 287 (million)
% 12.31/2.75  % (3039823)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2333392934:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 12.31/2.75  % (3039824)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=732160968:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 12.31/2.75  % (3039822)Instruction limit reached! 
% 12.31/2.75  % (3039822)------------------------------
% 12.31/2.75  % (3039822)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.31/2.75  % (3039822)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.31/2.75  % (3039822)CaDiCaL version: 2.1.3
% 12.31/2.75  % (3039822)Termination reason: Instruction limit
% 12.31/2.75  % (3039822)Termination phase: Saturation
% 12.31/2.75  % (3039822)Time elapsed: 0.083 s
% 12.31/2.75  % (3039822)Peak memory usage: 92 MB
% 12.31/2.75  % (3039822)Instructions burned: 159 (million)
% 12.31/2.75  % (3039827)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1722016449:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 12.31/2.75  % (3039824)Instruction limit reached! 
% 12.31/2.75  % (3039824)------------------------------
% 12.31/2.75  % (3039824)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.31/2.75  % (3039824)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.31/2.75  % (3039824)CaDiCaL version: 2.1.3
% 12.31/2.75  % (3039824)Termination reason: Instruction limit
% 12.31/2.75  % (3039824)Termination phase: Saturation
% 12.31/2.75  % (3039824)Time elapsed: 0.142 s
% 12.31/2.75  % (3039824)Peak memory usage: 98 MB
% 12.31/2.75  % (3039824)Instructions burned: 248 (million)
% 12.31/2.75  % (3039827)Instruction limit reached! 
% 12.31/2.75  % (3039827)------------------------------
% 12.31/2.75  % (3039827)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.31/2.75  % (3039827)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.31/2.75  % (3039827)CaDiCaL version: 2.1.3
% 12.31/2.75  % (3039827)Termination reason: Instruction limit
% 12.31/2.75  % (3039827)Termination phase: Saturation
% 12.31/2.75  % (3039827)Time elapsed: 0.086 s
% 12.31/2.75  % (3039827)Peak memory usage: 95 MB
% 12.31/2.75  % (3039827)Instructions burned: 297 (million)
% 12.31/2.75  % (3039823)Instruction limit reached! 
% 12.31/2.75  % (3039823)------------------------------
% 12.31/2.75  % (3039823)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.31/2.75  % (3039823)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.31/2.75  % (3039823)CaDiCaL version: 2.1.3
% 12.31/2.75  % (3039823)Termination reason: Instruction limit
% 12.31/2.75  % (3039823)Termination phase: Saturation
% 12.31/2.75  % (3039823)Time elapsed: 0.225 s
% 12.31/2.75  % (3039823)Peak memory usage: 94 MB
% 12.31/2.75  % (3039823)Instructions burned: 326 (million)
% 12.31/2.75  % (3039830)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3469976621:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 12.31/2.75  % (3039833)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=329952040:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 12.31/2.75  % (3039832)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2846172845:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 12.31/2.75  % (3039833)Instruction limit reached! 
% 12.31/2.75  % (3039833)------------------------------
% 12.31/2.75  % (3039833)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.31/2.75  % (3039833)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.31/2.75  % (3039833)CaDiCaL version: 2.1.3
% 12.31/2.75  % (3039833)Termination reason: Instruction limit
% 12.31/2.75  % (3039833)Termination phase: Property scanning
% 12.31/2.75  % (3039833)Time elapsed: 0.043 s
% 12.31/2.75  % (3039833)Peak memory usage: 94 MB
% 12.31/2.75  % (3039833)Instructions burned: 129 (million)
% 12.31/2.75  % (3039834)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=646603825:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 12.31/2.75  % (3039832)Instruction limit reached! 
% 12.31/2.75  % (3039832)------------------------------
% 12.31/2.75  % (3039832)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.31/2.75  % (3039832)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.31/2.75  % (3039832)CaDiCaL version: 2.1.3
% 12.31/2.75  % (3039832)Termination reason: Instruction limit
% 12.31/2.75  % (3039832)Termination phase: Saturation
% 12.31/2.75  % (3039832)Time elapsed: 0.065 s
% 12.31/2.75  % (3039832)Peak memory usage: 93 MB
% 12.31/2.75  % (3039832)Instructions burned: 113 (million)
% 12.31/2.75  % (3039834)Instruction limit reached! 
% 12.31/2.75  % (3039834)------------------------------
% 12.31/2.75  % (3039834)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.31/2.75  % (3039834)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.31/2.75  % (3039834)CaDiCaL version: 2.1.3
% 12.31/2.75  % (3039834)Termination reason: Instruction limit
% 12.31/2.75  % (3039834)Termination phase: Property scanning
% 12.31/2.75  % (3039834)Time elapsed: 0.059 s
% 12.31/2.75  % (3039834)Peak memory usage: 91 MB
% 12.31/2.75  % (3039834)Instructions burned: 115 (million)
% 12.31/2.75  % (3039838)lrs+10_1_sil=8000:sp=occurrence:random_seed=542848038:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 12.31/2.75  % (3039840)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=760007809:i=437:sd=1:aac=none:ss=included_2990 on theBenchmark for (2990ds/437Mi)
% 12.31/2.75  % (3039841)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2017875414:i=5202:ss=axioms:sgt=16_2990 on theBenchmark for (2990ds/5202Mi)
% 12.31/2.75  % (3039838)Instruction limit reached! 
% 12.31/2.75  % (3039838)------------------------------
% 12.31/2.75  % (3039838)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.31/2.75  % (3039838)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.31/2.75  % (3039838)CaDiCaL version: 2.1.3
% 12.31/2.75  % (3039838)Termination reason: Instruction limit
% 12.31/2.75  % (3039838)Termination phase: Saturation
% 12.31/2.75  % (3039838)Time elapsed: 0.331 s
% 12.31/2.75  % (3039838)Peak memory usage: 104 MB
% 12.31/2.75  % (3039838)Instructions burned: 910 (million)
% 12.31/2.75  % (3039840)Instruction limit reached! 
% 12.31/2.75  % (3039840)------------------------------
% 12.31/2.75  % (3039840)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.31/2.75  % (3039840)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.31/2.75  % (3039840)CaDiCaL version: 2.1.3
% 12.31/2.75  % (3039840)Termination reason: Instruction limit
% 12.31/2.75  % (3039840)Termination phase: Saturation
% 12.31/2.75  % (3039840)Time elapsed: 0.244 s
% 12.31/2.75  % (3039840)Peak memory usage: 95 MB
% 12.31/2.75  % (3039840)Instructions burned: 437 (million)
% 12.31/2.75  % (3039845)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=4006904395:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2986 on theBenchmark for (2986ds/134Mi)
% 12.31/2.75  % (3039845)Instruction limit reached! 
% 12.31/2.75  % (3039845)------------------------------
% 12.31/2.75  % (3039845)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.31/2.75  % (3039845)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.31/2.75  % (3039845)CaDiCaL version: 2.1.3
% 12.31/2.75  % (3039845)Termination reason: Instruction limit
% 12.31/2.75  % (3039845)Termination phase: Saturation
% 12.31/2.75  % (3039845)Time elapsed: 0.045 s
% 12.31/2.75  % (3039845)Peak memory usage: 94 MB
% 12.31/2.75  % (3039845)Instructions burned: 135 (million)
% 12.31/2.75  % (3039846)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=3185636857:st=8:i=592:sd=3:ep=RST:ss=axioms_2986 on theBenchmark for (2986ds/592Mi)
% 12.31/2.75  % (3039809)First to succeed.
% 12.31/2.75  % (3039809)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3039802"
% 12.31/2.75  % (3039848)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=2101038364:st=3:i=13193:sd=3:ss=axioms_2985 on theBenchmark for (2985ds/13193Mi)
% 12.31/2.75  % (3039808)Also succeeded, but the first one will report.
% 12.31/2.75  % (3039846)Instruction limit reached! 
% 12.31/2.75  % (3039846)------------------------------
% 12.31/2.75  % (3039846)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.31/2.75  % (3039846)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.31/2.75  % (3039846)CaDiCaL version: 2.1.3
% 12.31/2.75  % (3039846)Termination reason: Instruction limit
% 12.31/2.75  % (3039846)Termination phase: Saturation
% 12.31/2.75  % (3039846)Time elapsed: 0.298 s
% 12.31/2.75  % (3039846)Peak memory usage: 102 MB
% 12.31/2.75  % (3039846)Instructions burned: 594 (million)
% 12.31/2.75  % (3039809)Refutation found. Thanks to Tanya!
% 12.31/2.75  % SZS status Theorem for theBenchmark
% 12.31/2.75  % SZS output start Proof for theBenchmark
% See solution above
% 13.19/2.94  % (3039809)------------------------------
% 13.19/2.94  % (3039809)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.19/2.94  % (3039809)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.19/2.94  % (3039809)CaDiCaL version: 2.1.3
% 13.19/2.94  % (3039809)Termination reason: Refutation
% 13.19/2.94  % (3039809)Time elapsed: 1.325 s
% 13.19/2.94  % (3039809)Peak memory usage: 145 MB
% 13.19/2.94  % (3039809)Instructions burned: 2093 (million)
% 13.19/2.94  % (3039809)------------------------------
% 13.19/2.94  % (3039809)------------------------------
% 13.19/2.94  % (3039802)Success in time 1.877 s
% 13.19/2.94  % Vampire exiting
%------------------------------------------------------------------------------