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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : LAT303+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/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 11:46:42 AM UTC 2026

% Result   : Theorem 0.34s 0.89s
% Output   : Refutation 2.44s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   23
%            Number of leaves      :   23
% Syntax   : Number of formulae    :  157 (  21 unt;   9 def)
%            Number of atoms       :  572 (   8 equ)
%            Maximal formula atoms :   12 (   3 avg)
%            Number of connectives :  712 ( 297   ~; 289   |;  87   &)
%                                         (  17 <=>;  22  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   5 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   31 (  29 usr;   9 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   2 con; 0-2 aty)
%            Number of variables   :  113 (   0 sgn 109   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,conjecture,
    ! [X0] :
      ( ( ~ v3_struct_0(X0)
        & v10_lattices(X0)
        & l3_lattices(X0) )
     => ! [X1] :
          ( m1_subset_1(X1,u1_struct_0(X0))
         => ( m2_filter_2(k6_domain_1(u1_struct_0(X0),X1),X0)
           => v13_lattices(X0) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t27_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))
           => ( m2_filter_2(k6_domain_1(u1_struct_0(X0),X1),X0)
             => v13_lattices(X0) ) ) ),
    inference(negated_conjecture,[status(cth)],[f1]) ).

fof(f14,axiom,
    ! [X0] :
      ( ( ~ v3_struct_0(X0)
        & v10_lattices(X0)
        & l3_lattices(X0) )
     => ! [X1] :
          ( m1_subset_1(X1,u1_struct_0(X0))
         => k5_filter_2(X0,X1) = X1 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_filter_2) ).

fof(f16,axiom,
    ! [X0] :
      ( l3_lattices(X0)
     => ( v3_lattices(k1_lattice2(X0))
        & l3_lattices(k1_lattice2(X0)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_lattice2) ).

fof(f21,axiom,
    ! [X0,X1] :
      ( ( ~ v3_struct_0(X0)
        & v10_lattices(X0)
        & l3_lattices(X0)
        & m1_subset_1(X1,u1_struct_0(X0)) )
     => m1_subset_1(k5_filter_2(X0,X1),u1_struct_0(k1_lattice2(X0))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k5_filter_2) ).

fof(f25,axiom,
    ! [X0] :
      ( l2_lattices(X0)
     => l1_struct_0(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l2_lattices) ).

fof(f26,axiom,
    ! [X0] :
      ( l3_lattices(X0)
     => ( l1_lattices(X0)
        & l2_lattices(X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l3_lattices) ).

fof(f48,axiom,
    ! [X0] :
      ( ( ~ v3_struct_0(X0)
        & l3_lattices(X0) )
     => ( ~ v3_struct_0(k1_lattice2(X0))
        & v3_lattices(k1_lattice2(X0)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_lattice2) ).

fof(f49,axiom,
    ! [X0] :
      ( ( ~ v3_struct_0(X0)
        & l1_struct_0(X0) )
     => ~ v1_xboole_0(u1_struct_0(X0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_struct_0) ).

fof(f60,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/sandbox/benchmark/theBenchmark.p',fc6_lattice2) ).

fof(f78,axiom,
    ! [X0,X1] :
      ( ( ~ v1_xboole_0(X0)
        & m1_subset_1(X1,X0) )
     => k6_domain_1(X0,X1) = k1_tarski(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k6_domain_1) ).

fof(f79,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/sandbox/benchmark/theBenchmark.p',redefinition_m1_filter_2) ).

fof(f82,axiom,
    ! [X0] :
      ( ( ~ v3_struct_0(X0)
        & v10_lattices(X0)
        & l3_lattices(X0) )
     => ! [X1] :
          ( m1_subset_1(X1,u1_struct_0(X0))
         => ( m1_filter_0(k6_domain_1(u1_struct_0(X0),X1),X0)
           => v14_lattices(X0) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t14_filter_0) ).

fof(f84,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/sandbox/benchmark/theBenchmark.p',t21_filter_2) ).

fof(f89,axiom,
    ! [X0] :
      ( ( ~ v3_struct_0(X0)
        & v10_lattices(X0)
        & l3_lattices(X0) )
     => ( v13_lattices(X0)
      <=> v14_lattices(k1_lattice2(X0)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t63_lattice2) ).

fof(f106,plain,
    ? [X0] :
      ( ? [X1] :
          ( ~ v13_lattices(X0)
          & m2_filter_2(k6_domain_1(u1_struct_0(X0),X1),X0)
          & m1_subset_1(X1,u1_struct_0(X0)) )
      & ~ v3_struct_0(X0)
      & v10_lattices(X0)
      & l3_lattices(X0) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f107,plain,
    ? [X0] :
      ( ? [X1] :
          ( ~ v13_lattices(X0)
          & m2_filter_2(k6_domain_1(u1_struct_0(X0),X1),X0)
          & m1_subset_1(X1,u1_struct_0(X0)) )
      & ~ v3_struct_0(X0)
      & v10_lattices(X0)
      & l3_lattices(X0) ),
    inference(flattening,[],[f106]) ).

fof(f125,plain,
    ! [X0] :
      ( ! [X1] :
          ( k5_filter_2(X0,X1) = X1
          | ~ m1_subset_1(X1,u1_struct_0(X0)) )
      | v3_struct_0(X0)
      | ~ v10_lattices(X0)
      | ~ l3_lattices(X0) ),
    inference(ennf_transformation,[],[f14]) ).

fof(f126,plain,
    ! [X0] :
      ( ! [X1] :
          ( k5_filter_2(X0,X1) = X1
          | ~ m1_subset_1(X1,u1_struct_0(X0)) )
      | v3_struct_0(X0)
      | ~ v10_lattices(X0)
      | ~ l3_lattices(X0) ),
    inference(flattening,[],[f125]) ).

fof(f129,plain,
    ! [X0] :
      ( ( v3_lattices(k1_lattice2(X0))
        & l3_lattices(k1_lattice2(X0)) )
      | ~ l3_lattices(X0) ),
    inference(ennf_transformation,[],[f16]) ).

fof(f130,plain,
    ! [X0,X1] :
      ( m1_subset_1(k5_filter_2(X0,X1),u1_struct_0(k1_lattice2(X0)))
      | v3_struct_0(X0)
      | ~ v10_lattices(X0)
      | ~ l3_lattices(X0)
      | ~ m1_subset_1(X1,u1_struct_0(X0)) ),
    inference(ennf_transformation,[],[f21]) ).

fof(f131,plain,
    ! [X0,X1] :
      ( m1_subset_1(k5_filter_2(X0,X1),u1_struct_0(k1_lattice2(X0)))
      | v3_struct_0(X0)
      | ~ v10_lattices(X0)
      | ~ l3_lattices(X0)
      | ~ m1_subset_1(X1,u1_struct_0(X0)) ),
    inference(flattening,[],[f130]) ).

fof(f135,plain,
    ! [X0] :
      ( l1_struct_0(X0)
      | ~ l2_lattices(X0) ),
    inference(ennf_transformation,[],[f25]) ).

fof(f136,plain,
    ! [X0] :
      ( ( l1_lattices(X0)
        & l2_lattices(X0) )
      | ~ l3_lattices(X0) ),
    inference(ennf_transformation,[],[f26]) ).

fof(f156,plain,
    ! [X0] :
      ( ( ~ v3_struct_0(k1_lattice2(X0))
        & v3_lattices(k1_lattice2(X0)) )
      | v3_struct_0(X0)
      | ~ l3_lattices(X0) ),
    inference(ennf_transformation,[],[f48]) ).

fof(f157,plain,
    ! [X0] :
      ( ( ~ v3_struct_0(k1_lattice2(X0))
        & v3_lattices(k1_lattice2(X0)) )
      | v3_struct_0(X0)
      | ~ l3_lattices(X0) ),
    inference(flattening,[],[f156]) ).

fof(f158,plain,
    ! [X0] :
      ( ~ v1_xboole_0(u1_struct_0(X0))
      | v3_struct_0(X0)
      | ~ l1_struct_0(X0) ),
    inference(ennf_transformation,[],[f49]) ).

fof(f159,plain,
    ! [X0] :
      ( ~ v1_xboole_0(u1_struct_0(X0))
      | v3_struct_0(X0)
      | ~ l1_struct_0(X0) ),
    inference(flattening,[],[f158]) ).

fof(f172,plain,
    ! [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)) )
      | v3_struct_0(X0)
      | ~ v10_lattices(X0)
      | ~ l3_lattices(X0) ),
    inference(ennf_transformation,[],[f60]) ).

fof(f173,plain,
    ! [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)) )
      | v3_struct_0(X0)
      | ~ v10_lattices(X0)
      | ~ l3_lattices(X0) ),
    inference(flattening,[],[f172]) ).

fof(f181,plain,
    ! [X0,X1] :
      ( k6_domain_1(X0,X1) = k1_tarski(X1)
      | v1_xboole_0(X0)
      | ~ m1_subset_1(X1,X0) ),
    inference(ennf_transformation,[],[f78]) ).

fof(f182,plain,
    ! [X0,X1] :
      ( k6_domain_1(X0,X1) = k1_tarski(X1)
      | v1_xboole_0(X0)
      | ~ m1_subset_1(X1,X0) ),
    inference(flattening,[],[f181]) ).

fof(f183,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,[],[f79]) ).

fof(f184,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,[],[f183]) ).

fof(f185,plain,
    ! [X0] :
      ( ! [X1] :
          ( v14_lattices(X0)
          | ~ m1_filter_0(k6_domain_1(u1_struct_0(X0),X1),X0)
          | ~ m1_subset_1(X1,u1_struct_0(X0)) )
      | v3_struct_0(X0)
      | ~ v10_lattices(X0)
      | ~ l3_lattices(X0) ),
    inference(ennf_transformation,[],[f82]) ).

fof(f186,plain,
    ! [X0] :
      ( ! [X1] :
          ( v14_lattices(X0)
          | ~ m1_filter_0(k6_domain_1(u1_struct_0(X0),X1),X0)
          | ~ m1_subset_1(X1,u1_struct_0(X0)) )
      | v3_struct_0(X0)
      | ~ v10_lattices(X0)
      | ~ l3_lattices(X0) ),
    inference(flattening,[],[f185]) ).

fof(f188,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,[],[f84]) ).

fof(f189,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,[],[f188]) ).

fof(f196,plain,
    ! [X0] :
      ( ( v13_lattices(X0)
      <=> v14_lattices(k1_lattice2(X0)) )
      | v3_struct_0(X0)
      | ~ v10_lattices(X0)
      | ~ l3_lattices(X0) ),
    inference(ennf_transformation,[],[f89]) ).

fof(f197,plain,
    ! [X0] :
      ( ( v13_lattices(X0)
      <=> v14_lattices(k1_lattice2(X0)) )
      | v3_struct_0(X0)
      | ~ v10_lattices(X0)
      | ~ l3_lattices(X0) ),
    inference(flattening,[],[f196]) ).

fof(f201,definition,
    ! [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)) )
      | ~ sP0(X0) ),
    introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).

fof(f202,plain,
    ! [X0] :
      ( sP0(X0)
      | v3_struct_0(X0)
      | ~ v10_lattices(X0)
      | ~ l3_lattices(X0) ),
    inference(definition_folding,[],[f173,f201]) ).

fof(f203,plain,
    ( ~ v13_lattices(sK1)
    & m2_filter_2(k6_domain_1(u1_struct_0(sK1),sK2),sK1)
    & m1_subset_1(sK2,u1_struct_0(sK1))
    & ~ v3_struct_0(sK1)
    & v10_lattices(sK1)
    & l3_lattices(sK1) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2]),skolemize(X0,sK1),skolemize(X1,sK2)],[f107]) ).

fof(f215,plain,
    ! [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)) )
      | ~ sP0(X0) ),
    inference(nnf_transformation,[],[f201]) ).

fof(f232,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,[],[f184]) ).

fof(f234,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,[],[f189]) ).

fof(f235,plain,
    ! [X0] :
      ( ( ( v13_lattices(X0)
          | ~ v14_lattices(k1_lattice2(X0)) )
        & ( v14_lattices(k1_lattice2(X0))
          | ~ v13_lattices(X0) ) )
      | v3_struct_0(X0)
      | ~ v10_lattices(X0)
      | ~ l3_lattices(X0) ),
    inference(nnf_transformation,[],[f197]) ).

fof(f236,plain,
    l3_lattices(sK1),
    inference(cnf_transformation,[],[f203]) ).

fof(f237,plain,
    v10_lattices(sK1),
    inference(cnf_transformation,[],[f203]) ).

fof(f238,plain,
    ~ v3_struct_0(sK1),
    inference(cnf_transformation,[],[f203]) ).

fof(f239,plain,
    m1_subset_1(sK2,u1_struct_0(sK1)),
    inference(cnf_transformation,[],[f203]) ).

fof(f240,plain,
    m2_filter_2(k6_domain_1(u1_struct_0(sK1),sK2),sK1),
    inference(cnf_transformation,[],[f203]) ).

fof(f241,plain,
    ~ v13_lattices(sK1),
    inference(cnf_transformation,[],[f203]) ).

fof(f264,plain,
    ! [X0,X1] :
      ( k5_filter_2(X0,X1) = X1
      | ~ m1_subset_1(X1,u1_struct_0(X0))
      | v3_struct_0(X0)
      | ~ v10_lattices(X0)
      | ~ l3_lattices(X0) ),
    inference(cnf_transformation,[],[f126]) ).

fof(f267,plain,
    ! [X0] :
      ( l3_lattices(k1_lattice2(X0))
      | ~ l3_lattices(X0) ),
    inference(cnf_transformation,[],[f129]) ).

fof(f269,plain,
    ! [X0,X1] :
      ( m1_subset_1(k5_filter_2(X0,X1),u1_struct_0(k1_lattice2(X0)))
      | v3_struct_0(X0)
      | ~ v10_lattices(X0)
      | ~ l3_lattices(X0)
      | ~ m1_subset_1(X1,u1_struct_0(X0)) ),
    inference(cnf_transformation,[],[f131]) ).

fof(f272,plain,
    ! [X0] :
      ( l1_struct_0(X0)
      | ~ l2_lattices(X0) ),
    inference(cnf_transformation,[],[f135]) ).

fof(f273,plain,
    ! [X0] :
      ( l2_lattices(X0)
      | ~ l3_lattices(X0) ),
    inference(cnf_transformation,[],[f136]) ).

fof(f301,plain,
    ! [X0] :
      ( ~ v3_struct_0(k1_lattice2(X0))
      | v3_struct_0(X0)
      | ~ l3_lattices(X0) ),
    inference(cnf_transformation,[],[f157]) ).

fof(f302,plain,
    ! [X0] :
      ( ~ v1_xboole_0(u1_struct_0(X0))
      | v3_struct_0(X0)
      | ~ l1_struct_0(X0) ),
    inference(cnf_transformation,[],[f159]) ).

fof(f323,plain,
    ! [X0] :
      ( v10_lattices(k1_lattice2(X0))
      | ~ sP0(X0) ),
    inference(cnf_transformation,[],[f215]) ).

fof(f332,plain,
    ! [X0] :
      ( sP0(X0)
      | v3_struct_0(X0)
      | ~ v10_lattices(X0)
      | ~ l3_lattices(X0) ),
    inference(cnf_transformation,[],[f202]) ).

fof(f387,plain,
    ! [X0,X1] :
      ( k6_domain_1(X0,X1) = k1_tarski(X1)
      | v1_xboole_0(X0)
      | ~ m1_subset_1(X1,X0) ),
    inference(cnf_transformation,[],[f182]) ).

fof(f388,plain,
    ! [X0,X1] :
      ( ~ m1_filter_2(X1,X0)
      | m1_filter_0(X1,X0)
      | v3_struct_0(X0)
      | ~ v10_lattices(X0)
      | ~ l3_lattices(X0) ),
    inference(cnf_transformation,[],[f232]) ).

fof(f393,plain,
    ! [X0,X1] :
      ( v14_lattices(X0)
      | ~ m1_filter_0(k6_domain_1(u1_struct_0(X0),X1),X0)
      | ~ m1_subset_1(X1,u1_struct_0(X0))
      | v3_struct_0(X0)
      | ~ v10_lattices(X0)
      | ~ l3_lattices(X0) ),
    inference(cnf_transformation,[],[f186]) ).

fof(f395,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,[],[f234]) ).

fof(f402,plain,
    ! [X0] :
      ( v13_lattices(X0)
      | ~ v14_lattices(k1_lattice2(X0))
      | v3_struct_0(X0)
      | ~ v10_lattices(X0)
      | ~ l3_lattices(X0) ),
    inference(cnf_transformation,[],[f235]) ).

fof(f452,plain,
    ( m2_filter_2(k1_tarski(sK2),sK1)
    | v1_xboole_0(u1_struct_0(sK1))
    | ~ m1_subset_1(sK2,u1_struct_0(sK1)) ),
    inference(superposition,[],[f240,f387]) ).

fof(f455,plain,
    ( m2_filter_2(k1_tarski(sK2),sK1)
    | v1_xboole_0(u1_struct_0(sK1)) ),
    inference(forward_subsumption_resolution,[],[f452,f239]) ).

fof(f457,definition,
    ( spl30_1
  <=> v1_xboole_0(u1_struct_0(sK1)) ),
    introduced(definition,[new_symbols(definition,[spl30_1])],[avatar_definition]) ).

fof(f459,plain,
    ( v1_xboole_0(u1_struct_0(sK1))
    | ~ spl30_1 ),
    inference(avatar_component_clause,[],[f457]) ).

fof(f461,definition,
    ( spl30_2
  <=> m2_filter_2(k1_tarski(sK2),sK1) ),
    introduced(definition,[new_symbols(definition,[spl30_2])],[avatar_definition]) ).

fof(f463,plain,
    ( m2_filter_2(k1_tarski(sK2),sK1)
    | ~ spl30_2 ),
    inference(avatar_component_clause,[],[f461]) ).

fof(f464,plain,
    ( spl30_1
    | spl30_2 ),
    inference(avatar_split_clause,[],[f455,f461,f457]) ).

fof(f469,plain,
    ( ~ v14_lattices(k1_lattice2(sK1))
    | v3_struct_0(sK1)
    | ~ v10_lattices(sK1)
    | ~ l3_lattices(sK1) ),
    inference(resolution,[],[f402,f241]) ).

fof(f470,plain,
    ( ~ v14_lattices(k1_lattice2(sK1))
    | ~ v10_lattices(sK1)
    | ~ l3_lattices(sK1) ),
    inference(forward_subsumption_resolution,[],[f469,f238]) ).

fof(f471,plain,
    ( ~ v14_lattices(k1_lattice2(sK1))
    | ~ l3_lattices(sK1) ),
    inference(forward_subsumption_resolution,[],[f470,f237]) ).

fof(f472,plain,
    ~ v14_lattices(k1_lattice2(sK1)),
    inference(forward_subsumption_resolution,[],[f471,f236]) ).

fof(f476,definition,
    ( spl30_3
  <=> l3_lattices(k1_lattice2(sK1)) ),
    introduced(definition,[new_symbols(definition,[spl30_3])],[avatar_definition]) ).

fof(f477,plain,
    ( l3_lattices(k1_lattice2(sK1))
    | ~ spl30_3 ),
    inference(avatar_component_clause,[],[f476]) ).

fof(f478,plain,
    ( ~ l3_lattices(k1_lattice2(sK1))
    | spl30_3 ),
    inference(avatar_component_clause,[],[f476]) ).

fof(f484,definition,
    ( spl30_5
  <=> v3_struct_0(k1_lattice2(sK1)) ),
    introduced(definition,[new_symbols(definition,[spl30_5])],[avatar_definition]) ).

fof(f485,plain,
    ( ~ v3_struct_0(k1_lattice2(sK1))
    | spl30_5 ),
    inference(avatar_component_clause,[],[f484]) ).

fof(f486,plain,
    ( v3_struct_0(k1_lattice2(sK1))
    | ~ spl30_5 ),
    inference(avatar_component_clause,[],[f484]) ).

fof(f488,plain,
    ( ~ l3_lattices(sK1)
    | spl30_3 ),
    inference(resolution,[],[f478,f267]) ).

fof(f489,plain,
    ( $false
    | spl30_3 ),
    inference(forward_subsumption_resolution,[],[f488,f236]) ).

fof(f490,plain,
    spl30_3,
    inference(avatar_contradiction_clause,[],[f489]) ).

fof(f499,plain,
    ! [X0,X1] :
      ( ~ m2_filter_2(X0,X1)
      | v3_struct_0(X1)
      | ~ v10_lattices(X1)
      | ~ l3_lattices(X1)
      | m1_filter_0(X0,k1_lattice2(X1))
      | v3_struct_0(k1_lattice2(X1))
      | ~ v10_lattices(k1_lattice2(X1))
      | ~ l3_lattices(k1_lattice2(X1)) ),
    inference(resolution,[],[f395,f388]) ).

fof(f501,plain,
    ! [X0,X1] :
      ( ~ m2_filter_2(X0,X1)
      | v3_struct_0(X1)
      | ~ v10_lattices(X1)
      | ~ l3_lattices(X1)
      | m1_filter_0(X0,k1_lattice2(X1))
      | ~ v10_lattices(k1_lattice2(X1))
      | ~ l3_lattices(k1_lattice2(X1)) ),
    inference(forward_subsumption_resolution,[],[f499,f301]) ).

fof(f502,plain,
    ! [X0,X1] :
      ( m1_filter_0(X0,k1_lattice2(X1))
      | v3_struct_0(X1)
      | ~ v10_lattices(X1)
      | ~ l3_lattices(X1)
      | ~ m2_filter_2(X0,X1)
      | ~ v10_lattices(k1_lattice2(X1)) ),
    inference(forward_subsumption_resolution,[],[f501,f267]) ).

fof(f553,plain,
    ! [X0,X1] :
      ( m1_subset_1(X0,u1_struct_0(k1_lattice2(X1)))
      | v3_struct_0(X1)
      | ~ v10_lattices(X1)
      | ~ l3_lattices(X1)
      | ~ m1_subset_1(X0,u1_struct_0(X1))
      | ~ m1_subset_1(X0,u1_struct_0(X1))
      | v3_struct_0(X1)
      | ~ v10_lattices(X1)
      | ~ l3_lattices(X1) ),
    inference(superposition,[],[f269,f264]) ).

fof(f554,plain,
    ! [X0,X1] :
      ( m1_subset_1(X0,u1_struct_0(k1_lattice2(X1)))
      | v3_struct_0(X1)
      | ~ v10_lattices(X1)
      | ~ l3_lattices(X1)
      | ~ m1_subset_1(X0,u1_struct_0(X1)) ),
    inference(duplicate_literal_removal,[],[f553]) ).

fof(f556,plain,
    ! [X0] :
      ( ~ m1_filter_0(k6_domain_1(u1_struct_0(k1_lattice2(sK1)),X0),k1_lattice2(sK1))
      | ~ m1_subset_1(X0,u1_struct_0(k1_lattice2(sK1)))
      | v3_struct_0(k1_lattice2(sK1))
      | ~ v10_lattices(k1_lattice2(sK1))
      | ~ l3_lattices(k1_lattice2(sK1)) ),
    inference(resolution,[],[f393,f472]) ).

fof(f557,plain,
    ( ! [X0] :
        ( ~ m1_filter_0(k6_domain_1(u1_struct_0(k1_lattice2(sK1)),X0),k1_lattice2(sK1))
        | ~ m1_subset_1(X0,u1_struct_0(k1_lattice2(sK1)))
        | v3_struct_0(k1_lattice2(sK1))
        | ~ v10_lattices(k1_lattice2(sK1)) )
    | ~ spl30_3 ),
    inference(forward_subsumption_resolution,[],[f556,f477]) ).

fof(f559,definition,
    ( spl30_8
  <=> v10_lattices(k1_lattice2(sK1)) ),
    introduced(definition,[new_symbols(definition,[spl30_8])],[avatar_definition]) ).

fof(f560,plain,
    ( v10_lattices(k1_lattice2(sK1))
    | ~ spl30_8 ),
    inference(avatar_component_clause,[],[f559]) ).

fof(f561,plain,
    ( ~ v10_lattices(k1_lattice2(sK1))
    | spl30_8 ),
    inference(avatar_component_clause,[],[f559]) ).

fof(f563,definition,
    ( spl30_9
  <=> ! [X0] :
        ( ~ m1_filter_0(k6_domain_1(u1_struct_0(k1_lattice2(sK1)),X0),k1_lattice2(sK1))
        | ~ m1_subset_1(X0,u1_struct_0(k1_lattice2(sK1))) ) ),
    introduced(definition,[new_symbols(definition,[spl30_9])],[avatar_definition]) ).

fof(f564,plain,
    ( ! [X0] :
        ( ~ m1_filter_0(k6_domain_1(u1_struct_0(k1_lattice2(sK1)),X0),k1_lattice2(sK1))
        | ~ m1_subset_1(X0,u1_struct_0(k1_lattice2(sK1))) )
    | ~ spl30_9 ),
    inference(avatar_component_clause,[],[f563]) ).

fof(f565,plain,
    ( ~ spl30_8
    | spl30_5
    | spl30_9
    | ~ spl30_3 ),
    inference(avatar_split_clause,[],[f557,f476,f563,f484,f559]) ).

fof(f566,plain,
    ( ~ sP0(sK1)
    | spl30_8 ),
    inference(resolution,[],[f561,f323]) ).

fof(f596,plain,
    ( v3_struct_0(sK1)
    | ~ v10_lattices(sK1)
    | ~ l3_lattices(sK1)
    | spl30_8 ),
    inference(resolution,[],[f566,f332]) ).

fof(f597,plain,
    ( ~ v10_lattices(sK1)
    | ~ l3_lattices(sK1)
    | spl30_8 ),
    inference(forward_subsumption_resolution,[],[f596,f238]) ).

fof(f598,plain,
    ( ~ l3_lattices(sK1)
    | spl30_8 ),
    inference(forward_subsumption_resolution,[],[f597,f237]) ).

fof(f599,plain,
    ( $false
    | spl30_8 ),
    inference(forward_subsumption_resolution,[],[f598,f236]) ).

fof(f600,plain,
    spl30_8,
    inference(avatar_contradiction_clause,[],[f599]) ).

fof(f604,plain,
    ( v3_struct_0(sK1)
    | ~ l3_lattices(sK1)
    | ~ spl30_5 ),
    inference(resolution,[],[f486,f301]) ).

fof(f605,plain,
    ( ~ l3_lattices(sK1)
    | ~ spl30_5 ),
    inference(forward_subsumption_resolution,[],[f604,f238]) ).

fof(f606,plain,
    ( $false
    | ~ spl30_5 ),
    inference(forward_subsumption_resolution,[],[f605,f236]) ).

fof(f607,plain,
    ~ spl30_5,
    inference(avatar_contradiction_clause,[],[f606]) ).

fof(f683,plain,
    ( ! [X0] :
        ( ~ m1_filter_0(k1_tarski(X0),k1_lattice2(sK1))
        | ~ m1_subset_1(X0,u1_struct_0(k1_lattice2(sK1)))
        | v1_xboole_0(u1_struct_0(k1_lattice2(sK1)))
        | ~ m1_subset_1(X0,u1_struct_0(k1_lattice2(sK1))) )
    | ~ spl30_9 ),
    inference(superposition,[],[f564,f387]) ).

fof(f684,plain,
    ( ! [X0] :
        ( ~ m1_filter_0(k1_tarski(X0),k1_lattice2(sK1))
        | ~ m1_subset_1(X0,u1_struct_0(k1_lattice2(sK1)))
        | v1_xboole_0(u1_struct_0(k1_lattice2(sK1))) )
    | ~ spl30_9 ),
    inference(duplicate_literal_removal,[],[f683]) ).

fof(f686,definition,
    ( spl30_16
  <=> v1_xboole_0(u1_struct_0(k1_lattice2(sK1))) ),
    introduced(definition,[new_symbols(definition,[spl30_16])],[avatar_definition]) ).

fof(f688,plain,
    ( v1_xboole_0(u1_struct_0(k1_lattice2(sK1)))
    | ~ spl30_16 ),
    inference(avatar_component_clause,[],[f686]) ).

fof(f690,definition,
    ( spl30_17
  <=> ! [X0] :
        ( ~ m1_filter_0(k1_tarski(X0),k1_lattice2(sK1))
        | ~ m1_subset_1(X0,u1_struct_0(k1_lattice2(sK1))) ) ),
    introduced(definition,[new_symbols(definition,[spl30_17])],[avatar_definition]) ).

fof(f691,plain,
    ( ! [X0] :
        ( ~ m1_filter_0(k1_tarski(X0),k1_lattice2(sK1))
        | ~ m1_subset_1(X0,u1_struct_0(k1_lattice2(sK1))) )
    | ~ spl30_17 ),
    inference(avatar_component_clause,[],[f690]) ).

fof(f692,plain,
    ( spl30_16
    | spl30_17
    | ~ spl30_9 ),
    inference(avatar_split_clause,[],[f684,f563,f690,f686]) ).

fof(f697,plain,
    ( v3_struct_0(k1_lattice2(sK1))
    | ~ l1_struct_0(k1_lattice2(sK1))
    | ~ spl30_16 ),
    inference(resolution,[],[f688,f302]) ).

fof(f703,plain,
    ( ~ l1_struct_0(k1_lattice2(sK1))
    | spl30_5
    | ~ spl30_16 ),
    inference(forward_subsumption_resolution,[],[f697,f485]) ).

fof(f721,plain,
    ( ~ l2_lattices(k1_lattice2(sK1))
    | spl30_5
    | ~ spl30_16 ),
    inference(resolution,[],[f703,f272]) ).

fof(f723,plain,
    ( ~ l3_lattices(k1_lattice2(sK1))
    | spl30_5
    | ~ spl30_16 ),
    inference(resolution,[],[f721,f273]) ).

fof(f724,plain,
    ( $false
    | ~ spl30_3
    | spl30_5
    | ~ spl30_16 ),
    inference(forward_subsumption_resolution,[],[f723,f477]) ).

fof(f725,plain,
    ( ~ spl30_3
    | spl30_5
    | ~ spl30_16 ),
    inference(avatar_contradiction_clause,[],[f724]) ).

fof(f732,plain,
    ( ! [X0] :
        ( ~ m1_subset_1(X0,u1_struct_0(k1_lattice2(sK1)))
        | v3_struct_0(sK1)
        | ~ v10_lattices(sK1)
        | ~ l3_lattices(sK1)
        | ~ m2_filter_2(k1_tarski(X0),sK1)
        | ~ v10_lattices(k1_lattice2(sK1)) )
    | ~ spl30_17 ),
    inference(resolution,[],[f691,f502]) ).

fof(f733,plain,
    ( ! [X0] :
        ( ~ m1_subset_1(X0,u1_struct_0(k1_lattice2(sK1)))
        | ~ v10_lattices(sK1)
        | ~ l3_lattices(sK1)
        | ~ m2_filter_2(k1_tarski(X0),sK1)
        | ~ v10_lattices(k1_lattice2(sK1)) )
    | ~ spl30_17 ),
    inference(forward_subsumption_resolution,[],[f732,f238]) ).

fof(f734,plain,
    ( ! [X0] :
        ( ~ m1_subset_1(X0,u1_struct_0(k1_lattice2(sK1)))
        | ~ l3_lattices(sK1)
        | ~ m2_filter_2(k1_tarski(X0),sK1)
        | ~ v10_lattices(k1_lattice2(sK1)) )
    | ~ spl30_17 ),
    inference(forward_subsumption_resolution,[],[f733,f237]) ).

fof(f735,plain,
    ( ! [X0] :
        ( ~ m1_subset_1(X0,u1_struct_0(k1_lattice2(sK1)))
        | ~ m2_filter_2(k1_tarski(X0),sK1)
        | ~ v10_lattices(k1_lattice2(sK1)) )
    | ~ spl30_17 ),
    inference(forward_subsumption_resolution,[],[f734,f236]) ).

fof(f736,plain,
    ( ! [X0] :
        ( ~ m2_filter_2(k1_tarski(X0),sK1)
        | ~ m1_subset_1(X0,u1_struct_0(k1_lattice2(sK1))) )
    | ~ spl30_8
    | ~ spl30_17 ),
    inference(forward_subsumption_resolution,[],[f735,f560]) ).

fof(f739,plain,
    ( ~ m1_subset_1(sK2,u1_struct_0(k1_lattice2(sK1)))
    | ~ spl30_2
    | ~ spl30_8
    | ~ spl30_17 ),
    inference(resolution,[],[f736,f463]) ).

fof(f746,plain,
    ( v3_struct_0(sK1)
    | ~ v10_lattices(sK1)
    | ~ l3_lattices(sK1)
    | ~ m1_subset_1(sK2,u1_struct_0(sK1))
    | ~ spl30_2
    | ~ spl30_8
    | ~ spl30_17 ),
    inference(resolution,[],[f739,f554]) ).

fof(f748,plain,
    ( ~ v10_lattices(sK1)
    | ~ l3_lattices(sK1)
    | ~ m1_subset_1(sK2,u1_struct_0(sK1))
    | ~ spl30_2
    | ~ spl30_8
    | ~ spl30_17 ),
    inference(forward_subsumption_resolution,[],[f746,f238]) ).

fof(f749,plain,
    ( ~ l3_lattices(sK1)
    | ~ m1_subset_1(sK2,u1_struct_0(sK1))
    | ~ spl30_2
    | ~ spl30_8
    | ~ spl30_17 ),
    inference(forward_subsumption_resolution,[],[f748,f237]) ).

fof(f750,plain,
    ( ~ m1_subset_1(sK2,u1_struct_0(sK1))
    | ~ spl30_2
    | ~ spl30_8
    | ~ spl30_17 ),
    inference(forward_subsumption_resolution,[],[f749,f236]) ).

fof(f751,plain,
    ( $false
    | ~ spl30_2
    | ~ spl30_8
    | ~ spl30_17 ),
    inference(forward_subsumption_resolution,[],[f750,f239]) ).

fof(f752,plain,
    ( ~ spl30_2
    | ~ spl30_8
    | ~ spl30_17 ),
    inference(avatar_contradiction_clause,[],[f751]) ).

fof(f753,plain,
    ( v3_struct_0(sK1)
    | ~ l1_struct_0(sK1)
    | ~ spl30_1 ),
    inference(resolution,[],[f459,f302]) ).

fof(f759,plain,
    ( ~ l1_struct_0(sK1)
    | ~ spl30_1 ),
    inference(forward_subsumption_resolution,[],[f753,f238]) ).

fof(f760,plain,
    ( ~ l2_lattices(sK1)
    | ~ spl30_1 ),
    inference(resolution,[],[f759,f272]) ).

fof(f766,plain,
    ( ~ l3_lattices(sK1)
    | ~ spl30_1 ),
    inference(resolution,[],[f760,f273]) ).

fof(f767,plain,
    ( $false
    | ~ spl30_1 ),
    inference(forward_subsumption_resolution,[],[f766,f236]) ).

fof(f768,plain,
    ~ spl30_1,
    inference(avatar_contradiction_clause,[],[f767]) ).

cnf(s1,plain,
    ( spl30_1
    | spl30_2 ),
    inference(sat_conversion,[],[f464]) ).

cnf(s3,plain,
    spl30_3,
    inference(sat_conversion,[],[f490]) ).

cnf(s5,plain,
    ( ~ spl30_3
    | spl30_5
    | ~ spl30_8
    | spl30_9 ),
    inference(sat_conversion,[],[f565]) ).

cnf(s7,plain,
    spl30_8,
    inference(sat_conversion,[],[f600]) ).

cnf(s8,plain,
    ~ spl30_5,
    inference(sat_conversion,[],[f607]) ).

cnf(s10,plain,
    ( ~ spl30_9
    | spl30_16
    | spl30_17 ),
    inference(sat_conversion,[],[f692]) ).

cnf(s12,plain,
    ( ~ spl30_3
    | spl30_5
    | ~ spl30_16 ),
    inference(sat_conversion,[],[f725]) ).

cnf(s13,plain,
    ( ~ spl30_2
    | ~ spl30_8
    | ~ spl30_17 ),
    inference(sat_conversion,[],[f752]) ).

cnf(s14,plain,
    ~ spl30_1,
    inference(sat_conversion,[],[f768]) ).

cnf(s15,plain,
    ( ~ spl30_3
    | spl30_9 ),
    inference(rat,[],[s5,s7,s8]) ).

cnf(s17,plain,
    ~ spl30_16,
    inference(rat,[],[s12,s8,s3]) ).

cnf(s19,plain,
    spl30_9,
    inference(rat,[],[s15,s3]) ).

cnf(s20,plain,
    spl30_17,
    inference(rat,[],[s10,s17,s19]) ).

cnf(s21,plain,
    ~ spl30_2,
    inference(rat,[],[s13,s7,s20]) ).

cnf(s23,plain,
    $false,
    inference(rat,[],[s1,s21,s14]) ).

fof(f769,plain,
    $false,
    inference(avatar_sat_refutation,[],[s23]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : LAT303+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.36  % Computer : n006.cluster.edu
% 0.11/0.36  % Model    : x86_64 x86_64
% 0.11/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36  % Memory   : 8046.5625MB
% 0.11/0.36  % OS       : Linux 6.8.0-71-generic
% 0.11/0.36  % CPULimit : 300
% 0.11/0.36  % WCLimit  : 300
% 0.11/0.36  % DateTime : Sun Sep 27 14:23:56 UTC 2026
% 0.11/0.36  % CPUTime  : 
% 0.11/0.36  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.39  Running first-order theorem proving
% 0.11/0.39  Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.34/0.89  % (3027453)Detected formulas, will run a generic FOF schedule.
% 0.34/0.89  % (3027463)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1034399041:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 0.34/0.89  % (3027463)First to succeed.
% 0.34/0.89  % (3027463)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3027453"
% 0.34/0.89  % (3027462)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1221763211:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 0.34/0.89  % (3027461)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3039100046:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 0.34/0.89  % (3027459)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=3586111805:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 0.34/0.89  % (3027458)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=994101963:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 0.34/0.89  % (3027460)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=3507321262:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 0.34/0.89  % (3027461)Refutation not found, incomplete strategy
% 0.34/0.89  % (3027461)------------------------------
% 0.34/0.89  % (3027461)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.34/0.89  % (3027461)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.34/0.89  % (3027461)CaDiCaL version: 2.1.3
% 0.34/0.89  % (3027461)Termination reason: Refutation not found, incomplete strategy
% 0.34/0.89  % (3027461)Time elapsed: 0.001 s
% 0.34/0.89  % (3027461)Peak memory usage: 88 MB
% 0.34/0.89  % (3027461)Instructions burned: 1 (million)
% 0.34/0.89  % (3027464)dis-21_1_sil=8000:lcm=predicate:random_seed=1342958148:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 0.34/0.89  % (3027462)Refutation not found, incomplete strategy
% 0.34/0.89  % (3027462)------------------------------
% 0.34/0.89  % (3027462)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.34/0.89  % (3027462)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.34/0.89  % (3027462)CaDiCaL version: 2.1.3
% 0.34/0.89  % (3027462)Termination reason: Refutation not found, incomplete strategy
% 0.34/0.89  % (3027462)Time elapsed: 0.003 s
% 0.34/0.89  % (3027462)Peak memory usage: 88 MB
% 0.34/0.89  % (3027462)Instructions burned: 3 (million)
% 0.34/0.89  % (3027464)Instruction limit reached! 
% 0.34/0.89  % (3027464)------------------------------
% 0.34/0.89  % (3027464)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.34/0.89  % (3027464)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.34/0.89  % (3027464)CaDiCaL version: 2.1.3
% 0.34/0.89  % (3027464)Termination reason: Instruction limit
% 0.34/0.89  % (3027464)Termination phase: Saturation
% 0.34/0.89  % (3027464)Time elapsed: 0.071 s
% 0.34/0.89  % (3027464)Peak memory usage: 93 MB
% 0.34/0.89  % (3027464)Instructions burned: 131 (million)
% 0.34/0.89  % (3027463)Refutation found. Thanks to Tanya!
% 0.34/0.89  % SZS status Theorem for theBenchmark
% 0.34/0.89  % SZS output start Proof for theBenchmark
% See solution above
% 2.44/1.07  % (3027463)------------------------------
% 2.44/1.07  % (3027463)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.44/1.07  % (3027463)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.44/1.07  % (3027463)CaDiCaL version: 2.1.3
% 2.44/1.07  % (3027463)Termination reason: Refutation
% 2.44/1.07  % (3027463)Time elapsed: 0.011 s
% 2.44/1.07  % (3027463)Peak memory usage: 90 MB
% 2.44/1.07  % (3027463)Instructions burned: 27 (million)
% 2.44/1.07  % (3027463)------------------------------
% 2.44/1.07  % (3027463)------------------------------
% 2.44/1.07  % (3027453)Success in time 0.293 s
% 2.44/1.07  % Vampire exiting
%------------------------------------------------------------------------------