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Vampire-SAT---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : LAT305+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT

% Computer : n009.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 11:48:19 AM UTC 2026

% Result   : Theorem 0.15s 0.48s
% Output   : Refutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   24
%            Number of leaves      :   14
% Syntax   : Number of formulae    :  133 (  19 unt;   4 def)
%            Number of atoms       :  604 (  27 equ)
%            Maximal formula atoms :   14 (   4 avg)
%            Number of connectives :  802 ( 331   ~; 354   |;  88   &)
%                                         (  10 <=>;  19  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   6 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   21 (  19 usr;   5 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   3 con; 0-3 aty)
%            Number of variables   :  146 (   0 sgn 135   !;  11   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,conjecture,
    ! [X0] :
      ( ( ~ v3_struct_0(X0)
        & v10_lattices(X0)
        & l3_lattices(X0) )
     => ! [X1] :
          ( m1_subset_1(X1,u1_struct_0(X0))
         => ! [X2] :
              ( m1_subset_1(X2,u1_struct_0(X0))
             => ( r2_hidden(X1,k18_filter_2(X0,X1))
                & r2_hidden(k4_lattices(X0,X1,X2),k18_filter_2(X0,X1))
                & r2_hidden(k4_lattices(X0,X2,X1),k18_filter_2(X0,X1)) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t31_filter_2) ).

fof(f2,negated_conjecture,
    ~ ! [X0] :
        ( ( ~ v3_struct_0(X0)
          & v10_lattices(X0)
          & l3_lattices(X0) )
       => ! [X1] :
            ( m1_subset_1(X1,u1_struct_0(X0))
           => ! [X2] :
                ( m1_subset_1(X2,u1_struct_0(X0))
               => ( r2_hidden(X1,k18_filter_2(X0,X1))
                  & r2_hidden(k4_lattices(X0,X1,X2),k18_filter_2(X0,X1))
                  & r2_hidden(k4_lattices(X0,X2,X1),k18_filter_2(X0,X1)) ) ) ) ),
    inference(negated_conjecture,[status(cth)],[f1]) ).

fof(f5,axiom,
    ! [X0] :
      ( l3_lattices(X0)
     => ( ( ~ v3_struct_0(X0)
          & v10_lattices(X0) )
       => ( ~ v3_struct_0(X0)
          & v4_lattices(X0)
          & v5_lattices(X0)
          & v6_lattices(X0)
          & v7_lattices(X0)
          & v8_lattices(X0)
          & v9_lattices(X0) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_lattices) ).

fof(f11,axiom,
    ! [X0,X1,X2] :
      ( ( ~ v3_struct_0(X0)
        & v6_lattices(X0)
        & l1_lattices(X0)
        & m1_subset_1(X1,u1_struct_0(X0))
        & m1_subset_1(X2,u1_struct_0(X0)) )
     => k4_lattices(X0,X1,X2) = k4_lattices(X0,X2,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_k4_lattices) ).

fof(f15,axiom,
    ! [X0] :
      ( ( ~ v3_struct_0(X0)
        & v10_lattices(X0)
        & l3_lattices(X0) )
     => ! [X1] :
          ( m1_subset_1(X1,u1_struct_0(X0))
         => k18_filter_2(X0,X1) = a_2_0_filter_2(X0,X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d9_filter_2) ).

fof(f26,axiom,
    ! [X0,X1,X2] :
      ( ( ~ v3_struct_0(X0)
        & v6_lattices(X0)
        & l1_lattices(X0)
        & m1_subset_1(X1,u1_struct_0(X0))
        & m1_subset_1(X2,u1_struct_0(X0)) )
     => m1_subset_1(k4_lattices(X0,X1,X2),u1_struct_0(X0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k4_lattices) ).

fof(f31,axiom,
    ! [X0] :
      ( l3_lattices(X0)
     => ( l1_lattices(X0)
        & l2_lattices(X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l3_lattices) ).

fof(f57,axiom,
    ! [X0,X1,X2] :
      ( ( ~ v3_struct_0(X1)
        & v10_lattices(X1)
        & l3_lattices(X1)
        & m1_subset_1(X2,u1_struct_0(X1)) )
     => ( r2_hidden(X0,a_2_0_filter_2(X1,X2))
      <=> ? [X3] :
            ( m1_subset_1(X3,u1_struct_0(X1))
            & X0 = X3
            & r3_lattices(X1,X3,X2) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fraenkel_a_2_0_filter_2) ).

fof(f73,axiom,
    ! [X0,X1,X2] :
      ( ( ~ v3_struct_0(X0)
        & v6_lattices(X0)
        & v8_lattices(X0)
        & v9_lattices(X0)
        & l3_lattices(X0)
        & m1_subset_1(X1,u1_struct_0(X0))
        & m1_subset_1(X2,u1_struct_0(X0)) )
     => ( r3_lattices(X0,X1,X2)
      <=> r1_lattices(X0,X1,X2) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_r3_lattices) ).

fof(f75,axiom,
    ! [X0,X1,X2] :
      ( ( ~ v3_struct_0(X0)
        & v6_lattices(X0)
        & v8_lattices(X0)
        & v9_lattices(X0)
        & l3_lattices(X0)
        & m1_subset_1(X1,u1_struct_0(X0))
        & m1_subset_1(X2,u1_struct_0(X0)) )
     => r3_lattices(X0,X1,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_r3_lattices) ).

fof(f77,axiom,
    ! [X0] :
      ( ( ~ v3_struct_0(X0)
        & v6_lattices(X0)
        & v8_lattices(X0)
        & l3_lattices(X0) )
     => ! [X1] :
          ( m1_subset_1(X1,u1_struct_0(X0))
         => ! [X2] :
              ( m1_subset_1(X2,u1_struct_0(X0))
             => r1_lattices(X0,k4_lattices(X0,X1,X2),X1) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t23_lattices) ).

fof(f95,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ( ~ r2_hidden(X1,k18_filter_2(X0,X1))
                | ~ r2_hidden(k4_lattices(X0,X1,X2),k18_filter_2(X0,X1))
                | ~ r2_hidden(k4_lattices(X0,X2,X1),k18_filter_2(X0,X1)) )
              & m1_subset_1(X2,u1_struct_0(X0)) )
          & m1_subset_1(X1,u1_struct_0(X0)) )
      & ~ v3_struct_0(X0)
      & v10_lattices(X0)
      & l3_lattices(X0) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f96,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ( ~ r2_hidden(X1,k18_filter_2(X0,X1))
                | ~ r2_hidden(k4_lattices(X0,X1,X2),k18_filter_2(X0,X1))
                | ~ r2_hidden(k4_lattices(X0,X2,X1),k18_filter_2(X0,X1)) )
              & m1_subset_1(X2,u1_struct_0(X0)) )
          & m1_subset_1(X1,u1_struct_0(X0)) )
      & ~ v3_struct_0(X0)
      & v10_lattices(X0)
      & l3_lattices(X0) ),
    inference(flattening,[],[f95]) ).

fof(f99,plain,
    ! [X0] :
      ( ( ~ v3_struct_0(X0)
        & v4_lattices(X0)
        & v5_lattices(X0)
        & v6_lattices(X0)
        & v7_lattices(X0)
        & v8_lattices(X0)
        & v9_lattices(X0) )
      | v3_struct_0(X0)
      | ~ v10_lattices(X0)
      | ~ l3_lattices(X0) ),
    inference(ennf_transformation,[],[f5]) ).

fof(f100,plain,
    ! [X0] :
      ( ( ~ v3_struct_0(X0)
        & v4_lattices(X0)
        & v5_lattices(X0)
        & v6_lattices(X0)
        & v7_lattices(X0)
        & v8_lattices(X0)
        & v9_lattices(X0) )
      | v3_struct_0(X0)
      | ~ v10_lattices(X0)
      | ~ l3_lattices(X0) ),
    inference(flattening,[],[f99]) ).

fof(f107,plain,
    ! [X0,X1,X2] :
      ( k4_lattices(X0,X1,X2) = k4_lattices(X0,X2,X1)
      | v3_struct_0(X0)
      | ~ v6_lattices(X0)
      | ~ l1_lattices(X0)
      | ~ m1_subset_1(X1,u1_struct_0(X0))
      | ~ m1_subset_1(X2,u1_struct_0(X0)) ),
    inference(ennf_transformation,[],[f11]) ).

fof(f108,plain,
    ! [X0,X1,X2] :
      ( k4_lattices(X0,X1,X2) = k4_lattices(X0,X2,X1)
      | v3_struct_0(X0)
      | ~ v6_lattices(X0)
      | ~ l1_lattices(X0)
      | ~ m1_subset_1(X1,u1_struct_0(X0))
      | ~ m1_subset_1(X2,u1_struct_0(X0)) ),
    inference(flattening,[],[f107]) ).

fof(f113,plain,
    ! [X0] :
      ( ! [X1] :
          ( k18_filter_2(X0,X1) = a_2_0_filter_2(X0,X1)
          | ~ m1_subset_1(X1,u1_struct_0(X0)) )
      | v3_struct_0(X0)
      | ~ v10_lattices(X0)
      | ~ l3_lattices(X0) ),
    inference(ennf_transformation,[],[f15]) ).

fof(f114,plain,
    ! [X0] :
      ( ! [X1] :
          ( k18_filter_2(X0,X1) = a_2_0_filter_2(X0,X1)
          | ~ m1_subset_1(X1,u1_struct_0(X0)) )
      | v3_struct_0(X0)
      | ~ v10_lattices(X0)
      | ~ l3_lattices(X0) ),
    inference(flattening,[],[f113]) ).

fof(f121,plain,
    ! [X0,X1,X2] :
      ( m1_subset_1(k4_lattices(X0,X1,X2),u1_struct_0(X0))
      | v3_struct_0(X0)
      | ~ v6_lattices(X0)
      | ~ l1_lattices(X0)
      | ~ m1_subset_1(X1,u1_struct_0(X0))
      | ~ m1_subset_1(X2,u1_struct_0(X0)) ),
    inference(ennf_transformation,[],[f26]) ).

fof(f122,plain,
    ! [X0,X1,X2] :
      ( m1_subset_1(k4_lattices(X0,X1,X2),u1_struct_0(X0))
      | v3_struct_0(X0)
      | ~ v6_lattices(X0)
      | ~ l1_lattices(X0)
      | ~ m1_subset_1(X1,u1_struct_0(X0))
      | ~ m1_subset_1(X2,u1_struct_0(X0)) ),
    inference(flattening,[],[f121]) ).

fof(f125,plain,
    ! [X0] :
      ( ( l1_lattices(X0)
        & l2_lattices(X0) )
      | ~ l3_lattices(X0) ),
    inference(ennf_transformation,[],[f31]) ).

fof(f144,plain,
    ! [X0,X1,X2] :
      ( ( r2_hidden(X0,a_2_0_filter_2(X1,X2))
      <=> ? [X3] :
            ( m1_subset_1(X3,u1_struct_0(X1))
            & X0 = X3
            & r3_lattices(X1,X3,X2) ) )
      | v3_struct_0(X1)
      | ~ v10_lattices(X1)
      | ~ l3_lattices(X1)
      | ~ m1_subset_1(X2,u1_struct_0(X1)) ),
    inference(ennf_transformation,[],[f57]) ).

fof(f145,plain,
    ! [X0,X1,X2] :
      ( ( r2_hidden(X0,a_2_0_filter_2(X1,X2))
      <=> ? [X3] :
            ( m1_subset_1(X3,u1_struct_0(X1))
            & X0 = X3
            & r3_lattices(X1,X3,X2) ) )
      | v3_struct_0(X1)
      | ~ v10_lattices(X1)
      | ~ l3_lattices(X1)
      | ~ m1_subset_1(X2,u1_struct_0(X1)) ),
    inference(flattening,[],[f144]) ).

fof(f155,plain,
    ! [X0,X1,X2] :
      ( ( r3_lattices(X0,X1,X2)
      <=> r1_lattices(X0,X1,X2) )
      | v3_struct_0(X0)
      | ~ v6_lattices(X0)
      | ~ v8_lattices(X0)
      | ~ v9_lattices(X0)
      | ~ l3_lattices(X0)
      | ~ m1_subset_1(X1,u1_struct_0(X0))
      | ~ m1_subset_1(X2,u1_struct_0(X0)) ),
    inference(ennf_transformation,[],[f73]) ).

fof(f156,plain,
    ! [X0,X1,X2] :
      ( ( r3_lattices(X0,X1,X2)
      <=> r1_lattices(X0,X1,X2) )
      | v3_struct_0(X0)
      | ~ v6_lattices(X0)
      | ~ v8_lattices(X0)
      | ~ v9_lattices(X0)
      | ~ l3_lattices(X0)
      | ~ m1_subset_1(X1,u1_struct_0(X0))
      | ~ m1_subset_1(X2,u1_struct_0(X0)) ),
    inference(flattening,[],[f155]) ).

fof(f157,plain,
    ! [X0,X1,X2] :
      ( r3_lattices(X0,X1,X1)
      | v3_struct_0(X0)
      | ~ v6_lattices(X0)
      | ~ v8_lattices(X0)
      | ~ v9_lattices(X0)
      | ~ l3_lattices(X0)
      | ~ m1_subset_1(X1,u1_struct_0(X0))
      | ~ m1_subset_1(X2,u1_struct_0(X0)) ),
    inference(ennf_transformation,[],[f75]) ).

fof(f158,plain,
    ! [X0,X1,X2] :
      ( r3_lattices(X0,X1,X1)
      | v3_struct_0(X0)
      | ~ v6_lattices(X0)
      | ~ v8_lattices(X0)
      | ~ v9_lattices(X0)
      | ~ l3_lattices(X0)
      | ~ m1_subset_1(X1,u1_struct_0(X0))
      | ~ m1_subset_1(X2,u1_struct_0(X0)) ),
    inference(flattening,[],[f157]) ).

fof(f160,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( r1_lattices(X0,k4_lattices(X0,X1,X2),X1)
              | ~ m1_subset_1(X2,u1_struct_0(X0)) )
          | ~ m1_subset_1(X1,u1_struct_0(X0)) )
      | v3_struct_0(X0)
      | ~ v6_lattices(X0)
      | ~ v8_lattices(X0)
      | ~ l3_lattices(X0) ),
    inference(ennf_transformation,[],[f77]) ).

fof(f161,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( r1_lattices(X0,k4_lattices(X0,X1,X2),X1)
              | ~ m1_subset_1(X2,u1_struct_0(X0)) )
          | ~ m1_subset_1(X1,u1_struct_0(X0)) )
      | v3_struct_0(X0)
      | ~ v6_lattices(X0)
      | ~ v8_lattices(X0)
      | ~ l3_lattices(X0) ),
    inference(flattening,[],[f160]) ).

fof(f172,plain,
    ( ( ~ r2_hidden(sK1,k18_filter_2(sK0,sK1))
      | ~ r2_hidden(k4_lattices(sK0,sK1,sK2),k18_filter_2(sK0,sK1))
      | ~ r2_hidden(k4_lattices(sK0,sK2,sK1),k18_filter_2(sK0,sK1)) )
    & m1_subset_1(sK2,u1_struct_0(sK0))
    & m1_subset_1(sK1,u1_struct_0(sK0))
    & ~ v3_struct_0(sK0)
    & v10_lattices(sK0)
    & l3_lattices(sK0) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f96]) ).

fof(f182,plain,
    ! [X0,X1,X2] :
      ( ( ( r2_hidden(X0,a_2_0_filter_2(X1,X2))
          | ! [X3] :
              ( ~ m1_subset_1(X3,u1_struct_0(X1))
              | X0 != X3
              | ~ r3_lattices(X1,X3,X2) ) )
        & ( ? [X3] :
              ( m1_subset_1(X3,u1_struct_0(X1))
              & X0 = X3
              & r3_lattices(X1,X3,X2) )
          | ~ r2_hidden(X0,a_2_0_filter_2(X1,X2)) ) )
      | v3_struct_0(X1)
      | ~ v10_lattices(X1)
      | ~ l3_lattices(X1)
      | ~ m1_subset_1(X2,u1_struct_0(X1)) ),
    inference(nnf_transformation,[],[f145]) ).

fof(f183,plain,
    ! [X0,X1,X2] :
      ( ( ( r2_hidden(X0,a_2_0_filter_2(X1,X2))
          | ! [X3] :
              ( ~ m1_subset_1(X3,u1_struct_0(X1))
              | X0 != X3
              | ~ r3_lattices(X1,X3,X2) ) )
        & ( ? [X4] :
              ( m1_subset_1(X4,u1_struct_0(X1))
              & X0 = X4
              & r3_lattices(X1,X4,X2) )
          | ~ r2_hidden(X0,a_2_0_filter_2(X1,X2)) ) )
      | v3_struct_0(X1)
      | ~ v10_lattices(X1)
      | ~ l3_lattices(X1)
      | ~ m1_subset_1(X2,u1_struct_0(X1)) ),
    inference(rectify,[],[f182]) ).

fof(f184,plain,
    ! [X0,X1,X2] :
      ( ( ( r2_hidden(X0,a_2_0_filter_2(X1,X2))
          | ! [X3] :
              ( ~ m1_subset_1(X3,u1_struct_0(X1))
              | X0 != X3
              | ~ r3_lattices(X1,X3,X2) ) )
        & ( ( m1_subset_1(sK12(X0,X1,X2),u1_struct_0(X1))
            & sK12(X0,X1,X2) = X0
            & r3_lattices(X1,sK12(X0,X1,X2),X2) )
          | ~ r2_hidden(X0,a_2_0_filter_2(X1,X2)) ) )
      | v3_struct_0(X1)
      | ~ v10_lattices(X1)
      | ~ l3_lattices(X1)
      | ~ m1_subset_1(X2,u1_struct_0(X1)) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK12]),skolemize(X4,sK12(X0,X1,X2))],[f183]) ).

fof(f198,plain,
    ! [X0,X1,X2] :
      ( ( ( r3_lattices(X0,X1,X2)
          | ~ r1_lattices(X0,X1,X2) )
        & ( r1_lattices(X0,X1,X2)
          | ~ r3_lattices(X0,X1,X2) ) )
      | v3_struct_0(X0)
      | ~ v6_lattices(X0)
      | ~ v8_lattices(X0)
      | ~ v9_lattices(X0)
      | ~ l3_lattices(X0)
      | ~ m1_subset_1(X1,u1_struct_0(X0))
      | ~ m1_subset_1(X2,u1_struct_0(X0)) ),
    inference(nnf_transformation,[],[f156]) ).

fof(f201,plain,
    l3_lattices(sK0),
    inference(cnf_transformation,[],[f172]) ).

fof(f202,plain,
    v10_lattices(sK0),
    inference(cnf_transformation,[],[f172]) ).

fof(f203,plain,
    ~ v3_struct_0(sK0),
    inference(cnf_transformation,[],[f172]) ).

fof(f204,plain,
    m1_subset_1(sK1,u1_struct_0(sK0)),
    inference(cnf_transformation,[],[f172]) ).

fof(f205,plain,
    m1_subset_1(sK2,u1_struct_0(sK0)),
    inference(cnf_transformation,[],[f172]) ).

fof(f206,plain,
    ( ~ r2_hidden(sK1,k18_filter_2(sK0,sK1))
    | ~ r2_hidden(k4_lattices(sK0,sK1,sK2),k18_filter_2(sK0,sK1))
    | ~ r2_hidden(k4_lattices(sK0,sK2,sK1),k18_filter_2(sK0,sK1)) ),
    inference(cnf_transformation,[],[f172]) ).

fof(f209,plain,
    ! [X0] :
      ( ~ l3_lattices(X0)
      | v3_struct_0(X0)
      | ~ v10_lattices(X0)
      | v9_lattices(X0) ),
    inference(cnf_transformation,[],[f100]) ).

fof(f210,plain,
    ! [X0] :
      ( ~ l3_lattices(X0)
      | v3_struct_0(X0)
      | ~ v10_lattices(X0)
      | v8_lattices(X0) ),
    inference(cnf_transformation,[],[f100]) ).

fof(f212,plain,
    ! [X0] :
      ( ~ l3_lattices(X0)
      | v3_struct_0(X0)
      | ~ v10_lattices(X0)
      | v6_lattices(X0) ),
    inference(cnf_transformation,[],[f100]) ).

fof(f223,plain,
    ! [X2,X0,X1] :
      ( ~ m1_subset_1(X2,u1_struct_0(X0))
      | v3_struct_0(X0)
      | ~ v6_lattices(X0)
      | ~ l1_lattices(X0)
      | ~ m1_subset_1(X1,u1_struct_0(X0))
      | k4_lattices(X0,X1,X2) = k4_lattices(X0,X2,X1) ),
    inference(cnf_transformation,[],[f108]) ).

fof(f227,plain,
    ! [X0,X1] :
      ( ~ m1_subset_1(X1,u1_struct_0(X0))
      | k18_filter_2(X0,X1) = a_2_0_filter_2(X0,X1)
      | v3_struct_0(X0)
      | ~ v10_lattices(X0)
      | ~ l3_lattices(X0) ),
    inference(cnf_transformation,[],[f114]) ).

fof(f231,plain,
    ! [X2,X0,X1] :
      ( m1_subset_1(k4_lattices(X0,X1,X2),u1_struct_0(X0))
      | v3_struct_0(X0)
      | ~ v6_lattices(X0)
      | ~ l1_lattices(X0)
      | ~ m1_subset_1(X1,u1_struct_0(X0))
      | ~ m1_subset_1(X2,u1_struct_0(X0)) ),
    inference(cnf_transformation,[],[f122]) ).

fof(f235,plain,
    ! [X0] :
      ( ~ l3_lattices(X0)
      | l1_lattices(X0) ),
    inference(cnf_transformation,[],[f125]) ).

fof(f269,plain,
    ! [X2,X3,X0,X1] :
      ( r2_hidden(X0,a_2_0_filter_2(X1,X2))
      | ~ m1_subset_1(X3,u1_struct_0(X1))
      | X0 != X3
      | ~ r3_lattices(X1,X3,X2)
      | v3_struct_0(X1)
      | ~ v10_lattices(X1)
      | ~ l3_lattices(X1)
      | ~ m1_subset_1(X2,u1_struct_0(X1)) ),
    inference(cnf_transformation,[],[f184]) ).

fof(f298,plain,
    ! [X2,X0,X1] :
      ( ~ r1_lattices(X0,X1,X2)
      | r3_lattices(X0,X1,X2)
      | v3_struct_0(X0)
      | ~ v6_lattices(X0)
      | ~ v8_lattices(X0)
      | ~ v9_lattices(X0)
      | ~ l3_lattices(X0)
      | ~ m1_subset_1(X1,u1_struct_0(X0))
      | ~ m1_subset_1(X2,u1_struct_0(X0)) ),
    inference(cnf_transformation,[],[f198]) ).

fof(f300,plain,
    ! [X2,X0,X1] :
      ( ~ m1_subset_1(X2,u1_struct_0(X0))
      | v3_struct_0(X0)
      | ~ v6_lattices(X0)
      | ~ v8_lattices(X0)
      | ~ v9_lattices(X0)
      | ~ l3_lattices(X0)
      | ~ m1_subset_1(X1,u1_struct_0(X0))
      | r3_lattices(X0,X1,X1) ),
    inference(cnf_transformation,[],[f158]) ).

fof(f302,plain,
    ! [X2,X0,X1] :
      ( r1_lattices(X0,k4_lattices(X0,X1,X2),X1)
      | ~ m1_subset_1(X2,u1_struct_0(X0))
      | ~ m1_subset_1(X1,u1_struct_0(X0))
      | v3_struct_0(X0)
      | ~ v6_lattices(X0)
      | ~ v8_lattices(X0)
      | ~ l3_lattices(X0) ),
    inference(cnf_transformation,[],[f161]) ).

fof(f313,plain,
    ! [X2,X3,X1] :
      ( r2_hidden(X3,a_2_0_filter_2(X1,X2))
      | ~ m1_subset_1(X3,u1_struct_0(X1))
      | ~ r3_lattices(X1,X3,X2)
      | v3_struct_0(X1)
      | ~ v10_lattices(X1)
      | ~ l3_lattices(X1)
      | ~ m1_subset_1(X2,u1_struct_0(X1)) ),
    inference(equality_resolution,[],[f269]) ).

fof(f315,definition,
    ( spl26_1
  <=> r2_hidden(k4_lattices(sK0,sK2,sK1),k18_filter_2(sK0,sK1)) ),
    introduced(definition,[new_symbols(definition,[spl26_1])],[avatar_definition]) ).

fof(f317,plain,
    ( ~ r2_hidden(k4_lattices(sK0,sK2,sK1),k18_filter_2(sK0,sK1))
    | spl26_1 ),
    inference(avatar_component_clause,[],[f315]) ).

fof(f319,definition,
    ( spl26_2
  <=> r2_hidden(k4_lattices(sK0,sK1,sK2),k18_filter_2(sK0,sK1)) ),
    introduced(definition,[new_symbols(definition,[spl26_2])],[avatar_definition]) ).

fof(f321,plain,
    ( ~ r2_hidden(k4_lattices(sK0,sK1,sK2),k18_filter_2(sK0,sK1))
    | spl26_2 ),
    inference(avatar_component_clause,[],[f319]) ).

fof(f323,definition,
    ( spl26_3
  <=> r2_hidden(sK1,k18_filter_2(sK0,sK1)) ),
    introduced(definition,[new_symbols(definition,[spl26_3])],[avatar_definition]) ).

fof(f325,plain,
    ( ~ r2_hidden(sK1,k18_filter_2(sK0,sK1))
    | spl26_3 ),
    inference(avatar_component_clause,[],[f323]) ).

fof(f326,plain,
    ( ~ spl26_1
    | ~ spl26_2
    | ~ spl26_3 ),
    inference(avatar_split_clause,[],[f206,f323,f319,f315]) ).

fof(f340,plain,
    l1_lattices(sK0),
    inference(resolution,[],[f235,f201]) ).

fof(f369,plain,
    ( v3_struct_0(sK0)
    | ~ v10_lattices(sK0)
    | v9_lattices(sK0) ),
    inference(resolution,[],[f209,f201]) ).

fof(f384,plain,
    ( ~ v10_lattices(sK0)
    | v9_lattices(sK0) ),
    inference(forward_subsumption_resolution,[],[f369,f203]) ).

fof(f385,plain,
    v9_lattices(sK0),
    inference(forward_subsumption_resolution,[],[f384,f202]) ).

fof(f386,plain,
    ( v3_struct_0(sK0)
    | ~ v10_lattices(sK0)
    | v8_lattices(sK0) ),
    inference(resolution,[],[f210,f201]) ).

fof(f393,plain,
    ( ~ v10_lattices(sK0)
    | v8_lattices(sK0) ),
    inference(forward_subsumption_resolution,[],[f386,f203]) ).

fof(f394,plain,
    v8_lattices(sK0),
    inference(forward_subsumption_resolution,[],[f393,f202]) ).

fof(f404,plain,
    ( v3_struct_0(sK0)
    | ~ v10_lattices(sK0)
    | v6_lattices(sK0) ),
    inference(resolution,[],[f212,f201]) ).

fof(f411,plain,
    ( ~ v10_lattices(sK0)
    | v6_lattices(sK0) ),
    inference(forward_subsumption_resolution,[],[f404,f203]) ).

fof(f412,plain,
    v6_lattices(sK0),
    inference(forward_subsumption_resolution,[],[f411,f202]) ).

fof(f567,plain,
    ( k18_filter_2(sK0,sK1) = a_2_0_filter_2(sK0,sK1)
    | v3_struct_0(sK0)
    | ~ v10_lattices(sK0)
    | ~ l3_lattices(sK0) ),
    inference(resolution,[],[f227,f204]) ).

fof(f571,plain,
    ( k18_filter_2(sK0,sK1) = a_2_0_filter_2(sK0,sK1)
    | ~ v10_lattices(sK0)
    | ~ l3_lattices(sK0) ),
    inference(forward_subsumption_resolution,[],[f567,f203]) ).

fof(f573,plain,
    ( k18_filter_2(sK0,sK1) = a_2_0_filter_2(sK0,sK1)
    | ~ l3_lattices(sK0) ),
    inference(forward_subsumption_resolution,[],[f571,f202]) ).

fof(f575,plain,
    k18_filter_2(sK0,sK1) = a_2_0_filter_2(sK0,sK1),
    inference(forward_subsumption_resolution,[],[f573,f201]) ).

fof(f649,plain,
    ! [X0] :
      ( v3_struct_0(sK0)
      | ~ v6_lattices(sK0)
      | ~ v8_lattices(sK0)
      | ~ v9_lattices(sK0)
      | ~ l3_lattices(sK0)
      | ~ m1_subset_1(X0,u1_struct_0(sK0))
      | r3_lattices(sK0,X0,X0) ),
    inference(resolution,[],[f300,f205]) ).

fof(f657,plain,
    ! [X0] :
      ( ~ v6_lattices(sK0)
      | ~ v8_lattices(sK0)
      | ~ v9_lattices(sK0)
      | ~ l3_lattices(sK0)
      | ~ m1_subset_1(X0,u1_struct_0(sK0))
      | r3_lattices(sK0,X0,X0) ),
    inference(forward_subsumption_resolution,[],[f649,f203]) ).

fof(f659,plain,
    ! [X0] :
      ( ~ v8_lattices(sK0)
      | ~ v9_lattices(sK0)
      | ~ l3_lattices(sK0)
      | ~ m1_subset_1(X0,u1_struct_0(sK0))
      | r3_lattices(sK0,X0,X0) ),
    inference(forward_subsumption_resolution,[],[f657,f412]) ).

fof(f661,plain,
    ! [X0] :
      ( ~ v9_lattices(sK0)
      | ~ l3_lattices(sK0)
      | ~ m1_subset_1(X0,u1_struct_0(sK0))
      | r3_lattices(sK0,X0,X0) ),
    inference(forward_subsumption_resolution,[],[f659,f394]) ).

fof(f663,plain,
    ! [X0] :
      ( ~ l3_lattices(sK0)
      | ~ m1_subset_1(X0,u1_struct_0(sK0))
      | r3_lattices(sK0,X0,X0) ),
    inference(forward_subsumption_resolution,[],[f661,f385]) ).

fof(f665,plain,
    ! [X0] :
      ( ~ m1_subset_1(X0,u1_struct_0(sK0))
      | r3_lattices(sK0,X0,X0) ),
    inference(forward_subsumption_resolution,[],[f663,f201]) ).

fof(f668,plain,
    ! [X0] :
      ( v3_struct_0(sK0)
      | ~ v6_lattices(sK0)
      | ~ l1_lattices(sK0)
      | ~ m1_subset_1(X0,u1_struct_0(sK0))
      | k4_lattices(sK0,X0,sK2) = k4_lattices(sK0,sK2,X0) ),
    inference(resolution,[],[f223,f205]) ).

fof(f677,plain,
    ! [X0] :
      ( ~ v6_lattices(sK0)
      | ~ l1_lattices(sK0)
      | ~ m1_subset_1(X0,u1_struct_0(sK0))
      | k4_lattices(sK0,X0,sK2) = k4_lattices(sK0,sK2,X0) ),
    inference(forward_subsumption_resolution,[],[f668,f203]) ).

fof(f680,plain,
    ! [X0] :
      ( ~ l1_lattices(sK0)
      | ~ m1_subset_1(X0,u1_struct_0(sK0))
      | k4_lattices(sK0,X0,sK2) = k4_lattices(sK0,sK2,X0) ),
    inference(forward_subsumption_resolution,[],[f677,f412]) ).

fof(f682,plain,
    ! [X0] :
      ( ~ m1_subset_1(X0,u1_struct_0(sK0))
      | k4_lattices(sK0,X0,sK2) = k4_lattices(sK0,sK2,X0) ),
    inference(forward_subsumption_resolution,[],[f680,f340]) ).

fof(f728,plain,
    ! [X0] :
      ( r2_hidden(X0,k18_filter_2(sK0,sK1))
      | ~ m1_subset_1(X0,u1_struct_0(sK0))
      | ~ r3_lattices(sK0,X0,sK1)
      | v3_struct_0(sK0)
      | ~ v10_lattices(sK0)
      | ~ l3_lattices(sK0)
      | ~ m1_subset_1(sK1,u1_struct_0(sK0)) ),
    inference(superposition,[],[f313,f575]) ).

fof(f730,plain,
    ! [X0] :
      ( r2_hidden(X0,k18_filter_2(sK0,sK1))
      | ~ m1_subset_1(X0,u1_struct_0(sK0))
      | ~ r3_lattices(sK0,X0,sK1)
      | ~ v10_lattices(sK0)
      | ~ l3_lattices(sK0)
      | ~ m1_subset_1(sK1,u1_struct_0(sK0)) ),
    inference(forward_subsumption_resolution,[],[f728,f203]) ).

fof(f732,plain,
    ! [X0] :
      ( r2_hidden(X0,k18_filter_2(sK0,sK1))
      | ~ m1_subset_1(X0,u1_struct_0(sK0))
      | ~ r3_lattices(sK0,X0,sK1)
      | ~ l3_lattices(sK0)
      | ~ m1_subset_1(sK1,u1_struct_0(sK0)) ),
    inference(forward_subsumption_resolution,[],[f730,f202]) ).

fof(f734,plain,
    ! [X0] :
      ( r2_hidden(X0,k18_filter_2(sK0,sK1))
      | ~ m1_subset_1(X0,u1_struct_0(sK0))
      | ~ r3_lattices(sK0,X0,sK1)
      | ~ m1_subset_1(sK1,u1_struct_0(sK0)) ),
    inference(forward_subsumption_resolution,[],[f732,f201]) ).

fof(f736,plain,
    ! [X0] :
      ( r2_hidden(X0,k18_filter_2(sK0,sK1))
      | ~ m1_subset_1(X0,u1_struct_0(sK0))
      | ~ r3_lattices(sK0,X0,sK1) ),
    inference(forward_subsumption_resolution,[],[f734,f204]) ).

fof(f766,plain,
    ! [X2,X0,X1] :
      ( r3_lattices(X0,k4_lattices(X0,X1,X2),X1)
      | v3_struct_0(X0)
      | ~ v6_lattices(X0)
      | ~ v8_lattices(X0)
      | ~ v9_lattices(X0)
      | ~ l3_lattices(X0)
      | ~ m1_subset_1(k4_lattices(X0,X1,X2),u1_struct_0(X0))
      | ~ m1_subset_1(X1,u1_struct_0(X0))
      | ~ m1_subset_1(X2,u1_struct_0(X0))
      | ~ m1_subset_1(X1,u1_struct_0(X0))
      | v3_struct_0(X0)
      | ~ v6_lattices(X0)
      | ~ v8_lattices(X0)
      | ~ l3_lattices(X0) ),
    inference(resolution,[],[f298,f302]) ).

fof(f767,plain,
    ! [X2,X0,X1] :
      ( ~ m1_subset_1(k4_lattices(X0,X1,X2),u1_struct_0(X0))
      | v3_struct_0(X0)
      | ~ v6_lattices(X0)
      | ~ v8_lattices(X0)
      | ~ v9_lattices(X0)
      | ~ l3_lattices(X0)
      | r3_lattices(X0,k4_lattices(X0,X1,X2),X1)
      | ~ m1_subset_1(X1,u1_struct_0(X0))
      | ~ m1_subset_1(X2,u1_struct_0(X0)) ),
    inference(duplicate_literal_removal,[],[f766]) ).

fof(f806,plain,
    k4_lattices(sK0,sK1,sK2) = k4_lattices(sK0,sK2,sK1),
    inference(resolution,[],[f682,f204]) ).

fof(f879,definition,
    ( spl26_19
  <=> m1_subset_1(k4_lattices(sK0,sK1,sK2),u1_struct_0(sK0)) ),
    introduced(definition,[new_symbols(definition,[spl26_19])],[avatar_definition]) ).

fof(f880,plain,
    ( m1_subset_1(k4_lattices(sK0,sK1,sK2),u1_struct_0(sK0))
    | ~ spl26_19 ),
    inference(avatar_component_clause,[],[f879]) ).

fof(f881,plain,
    ( ~ m1_subset_1(k4_lattices(sK0,sK1,sK2),u1_struct_0(sK0))
    | spl26_19 ),
    inference(avatar_component_clause,[],[f879]) ).

fof(f903,plain,
    ( v3_struct_0(sK0)
    | ~ v6_lattices(sK0)
    | ~ l1_lattices(sK0)
    | ~ m1_subset_1(sK1,u1_struct_0(sK0))
    | ~ m1_subset_1(sK2,u1_struct_0(sK0))
    | spl26_19 ),
    inference(resolution,[],[f881,f231]) ).

fof(f904,plain,
    ( ~ v6_lattices(sK0)
    | ~ l1_lattices(sK0)
    | ~ m1_subset_1(sK1,u1_struct_0(sK0))
    | ~ m1_subset_1(sK2,u1_struct_0(sK0))
    | spl26_19 ),
    inference(forward_subsumption_resolution,[],[f903,f203]) ).

fof(f905,plain,
    ( ~ l1_lattices(sK0)
    | ~ m1_subset_1(sK1,u1_struct_0(sK0))
    | ~ m1_subset_1(sK2,u1_struct_0(sK0))
    | spl26_19 ),
    inference(forward_subsumption_resolution,[],[f904,f412]) ).

fof(f906,plain,
    ( ~ m1_subset_1(sK1,u1_struct_0(sK0))
    | ~ m1_subset_1(sK2,u1_struct_0(sK0))
    | spl26_19 ),
    inference(forward_subsumption_resolution,[],[f905,f340]) ).

fof(f907,plain,
    ( ~ m1_subset_1(sK2,u1_struct_0(sK0))
    | spl26_19 ),
    inference(forward_subsumption_resolution,[],[f906,f204]) ).

fof(f908,plain,
    ( $false
    | spl26_19 ),
    inference(forward_subsumption_resolution,[],[f907,f205]) ).

fof(f909,plain,
    spl26_19,
    inference(avatar_contradiction_clause,[],[f908]) ).

fof(f1819,plain,
    ( v3_struct_0(sK0)
    | ~ v6_lattices(sK0)
    | ~ v8_lattices(sK0)
    | ~ v9_lattices(sK0)
    | ~ l3_lattices(sK0)
    | r3_lattices(sK0,k4_lattices(sK0,sK1,sK2),sK1)
    | ~ m1_subset_1(sK1,u1_struct_0(sK0))
    | ~ m1_subset_1(sK2,u1_struct_0(sK0))
    | ~ spl26_19 ),
    inference(resolution,[],[f767,f880]) ).

fof(f1830,plain,
    ( ~ v6_lattices(sK0)
    | ~ v8_lattices(sK0)
    | ~ v9_lattices(sK0)
    | ~ l3_lattices(sK0)
    | r3_lattices(sK0,k4_lattices(sK0,sK1,sK2),sK1)
    | ~ m1_subset_1(sK1,u1_struct_0(sK0))
    | ~ m1_subset_1(sK2,u1_struct_0(sK0))
    | ~ spl26_19 ),
    inference(forward_subsumption_resolution,[],[f1819,f203]) ).

fof(f1833,plain,
    ( ~ v8_lattices(sK0)
    | ~ v9_lattices(sK0)
    | ~ l3_lattices(sK0)
    | r3_lattices(sK0,k4_lattices(sK0,sK1,sK2),sK1)
    | ~ m1_subset_1(sK1,u1_struct_0(sK0))
    | ~ m1_subset_1(sK2,u1_struct_0(sK0))
    | ~ spl26_19 ),
    inference(forward_subsumption_resolution,[],[f1830,f412]) ).

fof(f1836,plain,
    ( ~ v9_lattices(sK0)
    | ~ l3_lattices(sK0)
    | r3_lattices(sK0,k4_lattices(sK0,sK1,sK2),sK1)
    | ~ m1_subset_1(sK1,u1_struct_0(sK0))
    | ~ m1_subset_1(sK2,u1_struct_0(sK0))
    | ~ spl26_19 ),
    inference(forward_subsumption_resolution,[],[f1833,f394]) ).

fof(f1839,plain,
    ( ~ l3_lattices(sK0)
    | r3_lattices(sK0,k4_lattices(sK0,sK1,sK2),sK1)
    | ~ m1_subset_1(sK1,u1_struct_0(sK0))
    | ~ m1_subset_1(sK2,u1_struct_0(sK0))
    | ~ spl26_19 ),
    inference(forward_subsumption_resolution,[],[f1836,f385]) ).

fof(f1842,plain,
    ( r3_lattices(sK0,k4_lattices(sK0,sK1,sK2),sK1)
    | ~ m1_subset_1(sK1,u1_struct_0(sK0))
    | ~ m1_subset_1(sK2,u1_struct_0(sK0))
    | ~ spl26_19 ),
    inference(forward_subsumption_resolution,[],[f1839,f201]) ).

fof(f1845,plain,
    ( r3_lattices(sK0,k4_lattices(sK0,sK1,sK2),sK1)
    | ~ m1_subset_1(sK2,u1_struct_0(sK0))
    | ~ spl26_19 ),
    inference(forward_subsumption_resolution,[],[f1842,f204]) ).

fof(f1846,plain,
    ( r3_lattices(sK0,k4_lattices(sK0,sK1,sK2),sK1)
    | ~ spl26_19 ),
    inference(forward_subsumption_resolution,[],[f1845,f205]) ).

fof(f2481,plain,
    ( ~ m1_subset_1(k4_lattices(sK0,sK2,sK1),u1_struct_0(sK0))
    | ~ r3_lattices(sK0,k4_lattices(sK0,sK2,sK1),sK1)
    | spl26_1 ),
    inference(resolution,[],[f736,f317]) ).

fof(f2482,plain,
    ( ~ m1_subset_1(k4_lattices(sK0,sK1,sK2),u1_struct_0(sK0))
    | ~ r3_lattices(sK0,k4_lattices(sK0,sK1,sK2),sK1)
    | spl26_2 ),
    inference(resolution,[],[f736,f321]) ).

fof(f2486,plain,
    ( ~ r3_lattices(sK0,k4_lattices(sK0,sK1,sK2),sK1)
    | spl26_2
    | ~ spl26_19 ),
    inference(forward_subsumption_resolution,[],[f2482,f880]) ).

fof(f2487,plain,
    ( ~ m1_subset_1(k4_lattices(sK0,sK1,sK2),u1_struct_0(sK0))
    | ~ r3_lattices(sK0,k4_lattices(sK0,sK2,sK1),sK1)
    | spl26_1 ),
    inference(forward_demodulation,[],[f2481,f806]) ).

fof(f2488,plain,
    ( $false
    | spl26_2
    | ~ spl26_19 ),
    inference(forward_subsumption_resolution,[],[f2486,f1846]) ).

fof(f2489,plain,
    ( spl26_2
    | ~ spl26_19 ),
    inference(avatar_contradiction_clause,[],[f2488]) ).

fof(f2490,plain,
    ( ~ r3_lattices(sK0,k4_lattices(sK0,sK2,sK1),sK1)
    | spl26_1
    | ~ spl26_19 ),
    inference(forward_subsumption_resolution,[],[f2487,f880]) ).

fof(f2491,plain,
    ( ~ r3_lattices(sK0,k4_lattices(sK0,sK1,sK2),sK1)
    | spl26_1
    | ~ spl26_19 ),
    inference(forward_demodulation,[],[f2490,f806]) ).

fof(f2492,plain,
    ( $false
    | spl26_1
    | ~ spl26_19 ),
    inference(forward_subsumption_resolution,[],[f2491,f1846]) ).

fof(f2493,plain,
    ( spl26_1
    | ~ spl26_19 ),
    inference(avatar_contradiction_clause,[],[f2492]) ).

fof(f2496,plain,
    ( ~ m1_subset_1(sK1,u1_struct_0(sK0))
    | ~ r3_lattices(sK0,sK1,sK1)
    | spl26_3 ),
    inference(resolution,[],[f325,f736]) ).

fof(f2497,plain,
    ( ~ m1_subset_1(sK1,u1_struct_0(sK0))
    | spl26_3 ),
    inference(forward_subsumption_resolution,[],[f2496,f665]) ).

fof(f2498,plain,
    ( $false
    | spl26_3 ),
    inference(forward_subsumption_resolution,[],[f2497,f204]) ).

fof(f2499,plain,
    spl26_3,
    inference(avatar_contradiction_clause,[],[f2498]) ).

cnf(s1,plain,
    ( ~ spl26_1
    | ~ spl26_2
    | ~ spl26_3 ),
    inference(sat_conversion,[],[f326]) ).

cnf(s21,plain,
    spl26_19,
    inference(sat_conversion,[],[f909]) ).

cnf(s39,plain,
    ( spl26_2
    | ~ spl26_19 ),
    inference(sat_conversion,[],[f2489]) ).

cnf(s40,plain,
    ( spl26_1
    | ~ spl26_19 ),
    inference(sat_conversion,[],[f2493]) ).

cnf(s42,plain,
    spl26_3,
    inference(sat_conversion,[],[f2499]) ).

cnf(s48,plain,
    spl26_1,
    inference(rat,[],[s40,s21]) ).

cnf(s49,plain,
    spl26_2,
    inference(rat,[],[s39,s21]) ).

cnf(s60,plain,
    $false,
    inference(rat,[],[s1,s42,s49,s48]) ).

fof(f2500,plain,
    $false,
    inference(avatar_sat_refutation,[],[s60]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : LAT305+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.37  % Computer : n009.cluster.edu
% 0.12/0.37  % Model    : x86_64 x86_64
% 0.12/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37  % Memory   : 8046.5625MB
% 0.12/0.37  % OS       : Linux 6.8.0-71-generic
% 0.12/0.37  % CPULimit : 300
% 0.12/0.37  % WCLimit  : 300
% 0.12/0.37  % DateTime : Sun Sep 27 14:25:30 UTC 2026
% 0.12/0.37  % CPUTime  : 
% 0.12/0.37  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.40  Running first-order model finding
% 0.12/0.40  Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.48  % (2085885)Will run a generic schedule for satisfiability detection.
% 0.15/0.48  % (2085893)dis+10_1_sil=32000:sp=arity:random_seed=2439724332:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.15/0.48  % (2085891)% WARNING: option uhcvi not known.
% 0.15/0.48  % (2085895)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2473380098:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.15/0.48  % (2085891)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=4012040954:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.15/0.48  % (2085890)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1317362918_2999 on theBenchmark for (2999ds/0Mi)
% 0.15/0.48  % (2085892)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3204816643:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.15/0.48  % (2085894)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2340603754:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.15/0.48  % (2085896)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3304369981:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.15/0.48  % TRYING [1]
% 0.15/0.48  % TRYING [2]
% 0.15/0.48  % TRYING [3]
% 0.15/0.48  % (2085893) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2085885-2085893"...
% 0.15/0.48  % (2085893)...printing done.
% 0.15/0.48  % (2085893)Refutation found. Thanks to Tanya!
% 0.15/0.48  % SZS status Theorem for theBenchmark
% 0.15/0.48  % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.48  % (2085893)------------------------------
% 0.15/0.48  % (2085893)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.15/0.48  % (2085893)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/0.48  % (2085893)CaDiCaL version: 2.1.3
% 0.15/0.48  % (2085893)Termination reason: Refutation
% 0.15/0.48  % (2085893)Time elapsed: 0.036 s
% 0.15/0.48  % (2085893)Peak memory usage: 13 MB
% 0.15/0.48  % (2085893)Instructions burned: 98 (million)
% 0.15/0.48  % (2085885)Success in time 0.068 s
% 0.15/0.48  % Vampire exiting
%------------------------------------------------------------------------------