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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : LAT286+1 : 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 : n026.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 11:46:32 AM UTC 2026

% Result   : Theorem 5.44s 1.76s
% Output   : Refutation 7.01s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :   21
% Syntax   : Number of formulae    :  121 (  37 unt;   5 def)
%            Number of atoms       :  387 (  28 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives :  446 ( 180   ~; 180   |;  61   &)
%                                         (   9 <=>;  16  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   5 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :   20 (  18 usr;   6 prp; 0-3 aty)
%            Number of functors    :   13 (  13 usr;   1 con; 0-3 aty)
%            Number of variables   :  126 (   0 sgn 123   !;   3   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,conjecture,
    ! [X0] :
      ( ( ~ v3_struct_0(X0)
        & v2_pre_topc(X0)
        & l1_pre_topc(X0) )
     => m1_subset_1(k2_pre_topc(X0),u1_struct_0(k6_lopclset(X0))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t15_lopclset) ).

fof(f2,negated_conjecture,
    ~ ! [X0] :
        ( ( ~ v3_struct_0(X0)
          & v2_pre_topc(X0)
          & l1_pre_topc(X0) )
       => m1_subset_1(k2_pre_topc(X0),u1_struct_0(k6_lopclset(X0))) ),
    inference(negated_conjecture,[status(cth)],[f1]) ).

fof(f9,axiom,
    ! [X0] :
      ( l3_lattices(X0)
     => ( v3_lattices(X0)
       => X0 = g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',abstractness_v3_lattices) ).

fof(f14,axiom,
    ! [X0,X1,X2] :
      ( m2_relset_1(X2,X0,X1)
    <=> m1_relset_1(X2,X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).

fof(f50,axiom,
    ! [X0,X1] :
      ( r2_hidden(X0,X1)
     => m1_subset_1(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_subset) ).

fof(f52,axiom,
    ! [X0,X1,X2] :
      ~ ( r2_hidden(X0,X1)
        & m1_subset_1(X1,k1_zfmisc_1(X2))
        & v1_xboole_0(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_subset) ).

fof(f53,axiom,
    ! [X0,X1,X2] :
      ( ( v1_funct_1(X1)
        & v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
        & m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
        & v1_funct_1(X2)
        & v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
        & m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0) )
     => ! [X3,X4,X5] :
          ( g3_lattices(X0,X1,X2) = g3_lattices(X3,X4,X5)
         => ( X0 = X3
            & X1 = X4
            & X2 = X5 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',free_g3_lattices) ).

fof(f57,axiom,
    ! [X0,X1,X2] :
      ( ( v1_funct_1(X1)
        & v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
        & m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
        & v1_funct_1(X2)
        & v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
        & m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0) )
     => ( v3_lattices(g3_lattices(X0,X1,X2))
        & l3_lattices(g3_lattices(X0,X1,X2)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_g3_lattices) ).

fof(f58,axiom,
    ! [X0] :
      ( ( ~ v3_struct_0(X0)
        & v2_pre_topc(X0)
        & l1_pre_topc(X0) )
     => ( v1_funct_1(k4_lopclset(X0))
        & v1_funct_2(k4_lopclset(X0),k2_zfmisc_1(k1_lopclset(X0),k1_lopclset(X0)),k1_lopclset(X0))
        & m2_relset_1(k4_lopclset(X0),k2_zfmisc_1(k1_lopclset(X0),k1_lopclset(X0)),k1_lopclset(X0)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k4_lopclset) ).

fof(f59,axiom,
    ! [X0] :
      ( ( ~ v3_struct_0(X0)
        & v2_pre_topc(X0)
        & l1_pre_topc(X0) )
     => ( v1_funct_1(k5_lopclset(X0))
        & v1_funct_2(k5_lopclset(X0),k2_zfmisc_1(k1_lopclset(X0),k1_lopclset(X0)),k1_lopclset(X0))
        & m2_relset_1(k5_lopclset(X0),k2_zfmisc_1(k1_lopclset(X0),k1_lopclset(X0)),k1_lopclset(X0)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k5_lopclset) ).

fof(f73,axiom,
    ! [X0,X1] :
      ( m1_subset_1(X0,X1)
     => ( v1_xboole_0(X1)
        | r2_hidden(X0,X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_subset) ).

fof(f80,axiom,
    ! [X0] :
    ? [X1] : m1_subset_1(X1,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_m1_subset_1) ).

fof(f82,axiom,
    ! [X0,X1] :
      ( ( ~ v1_xboole_0(X0)
        & ~ v1_xboole_0(X1)
        & m1_subset_1(X1,k1_zfmisc_1(X0)) )
     => ! [X2] :
          ( m2_subset_1(X2,X0,X1)
        <=> m1_subset_1(X2,X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_m2_subset_1) ).

fof(f83,axiom,
    ! [X0] :
      ( ( ~ v3_struct_0(X0)
        & l1_pre_topc(X0) )
     => m1_subset_1(k1_lopclset(X0),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0)))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k1_lopclset) ).

fof(f92,axiom,
    ! [X0] :
      ( ( ~ v3_struct_0(X0)
        & v2_pre_topc(X0)
        & l1_pre_topc(X0) )
     => ~ v1_xboole_0(k1_lopclset(X0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_lopclset) ).

fof(f96,axiom,
    ! [X0] :
      ( ( ~ v3_struct_0(X0)
        & v2_pre_topc(X0)
        & l1_pre_topc(X0) )
     => k6_lopclset(X0) = g3_lattices(k1_lopclset(X0),k4_lopclset(X0),k5_lopclset(X0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_lopclset) ).

fof(f97,axiom,
    ! [X0] :
      ( ( ~ v3_struct_0(X0)
        & v2_pre_topc(X0)
        & l1_pre_topc(X0) )
     => m2_subset_1(k2_pre_topc(X0),k1_zfmisc_1(u1_struct_0(X0)),k1_lopclset(X0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t8_lopclset) ).

fof(f118,plain,
    ? [X0] :
      ( ~ m1_subset_1(k2_pre_topc(X0),u1_struct_0(k6_lopclset(X0)))
      & ~ v3_struct_0(X0)
      & v2_pre_topc(X0)
      & l1_pre_topc(X0) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f119,plain,
    ? [X0] :
      ( ~ m1_subset_1(k2_pre_topc(X0),u1_struct_0(k6_lopclset(X0)))
      & ~ v3_struct_0(X0)
      & v2_pre_topc(X0)
      & l1_pre_topc(X0) ),
    inference(flattening,[],[f118]) ).

fof(f125,plain,
    ! [X0] :
      ( X0 = g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0))
      | ~ v3_lattices(X0)
      | ~ l3_lattices(X0) ),
    inference(ennf_transformation,[],[f9]) ).

fof(f126,plain,
    ! [X0] :
      ( X0 = g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0))
      | ~ v3_lattices(X0)
      | ~ l3_lattices(X0) ),
    inference(flattening,[],[f125]) ).

fof(f152,plain,
    ! [X0,X1] :
      ( m1_subset_1(X0,X1)
      | ~ r2_hidden(X0,X1) ),
    inference(ennf_transformation,[],[f50]) ).

fof(f155,plain,
    ! [X0,X1,X2] :
      ( ~ r2_hidden(X0,X1)
      | ~ m1_subset_1(X1,k1_zfmisc_1(X2))
      | ~ v1_xboole_0(X2) ),
    inference(ennf_transformation,[],[f52]) ).

fof(f156,plain,
    ! [X0,X1,X2] :
      ( ! [X3,X4,X5] :
          ( ( X0 = X3
            & X1 = X4
            & X2 = X5 )
          | g3_lattices(X0,X1,X2) != g3_lattices(X3,X4,X5) )
      | ~ v1_funct_1(X1)
      | ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
      | ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
      | ~ v1_funct_1(X2)
      | ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
      | ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0) ),
    inference(ennf_transformation,[],[f53]) ).

fof(f157,plain,
    ! [X0,X1,X2] :
      ( ! [X3,X4,X5] :
          ( ( X0 = X3
            & X1 = X4
            & X2 = X5 )
          | g3_lattices(X0,X1,X2) != g3_lattices(X3,X4,X5) )
      | ~ v1_funct_1(X1)
      | ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
      | ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
      | ~ v1_funct_1(X2)
      | ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
      | ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0) ),
    inference(flattening,[],[f156]) ).

fof(f158,plain,
    ! [X0,X1,X2] :
      ( ( v3_lattices(g3_lattices(X0,X1,X2))
        & l3_lattices(g3_lattices(X0,X1,X2)) )
      | ~ v1_funct_1(X1)
      | ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
      | ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
      | ~ v1_funct_1(X2)
      | ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
      | ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0) ),
    inference(ennf_transformation,[],[f57]) ).

fof(f159,plain,
    ! [X0,X1,X2] :
      ( ( v3_lattices(g3_lattices(X0,X1,X2))
        & l3_lattices(g3_lattices(X0,X1,X2)) )
      | ~ v1_funct_1(X1)
      | ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
      | ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
      | ~ v1_funct_1(X2)
      | ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
      | ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0) ),
    inference(flattening,[],[f158]) ).

fof(f160,plain,
    ! [X0] :
      ( ( v1_funct_1(k4_lopclset(X0))
        & v1_funct_2(k4_lopclset(X0),k2_zfmisc_1(k1_lopclset(X0),k1_lopclset(X0)),k1_lopclset(X0))
        & m2_relset_1(k4_lopclset(X0),k2_zfmisc_1(k1_lopclset(X0),k1_lopclset(X0)),k1_lopclset(X0)) )
      | v3_struct_0(X0)
      | ~ v2_pre_topc(X0)
      | ~ l1_pre_topc(X0) ),
    inference(ennf_transformation,[],[f58]) ).

fof(f161,plain,
    ! [X0] :
      ( ( v1_funct_1(k4_lopclset(X0))
        & v1_funct_2(k4_lopclset(X0),k2_zfmisc_1(k1_lopclset(X0),k1_lopclset(X0)),k1_lopclset(X0))
        & m2_relset_1(k4_lopclset(X0),k2_zfmisc_1(k1_lopclset(X0),k1_lopclset(X0)),k1_lopclset(X0)) )
      | v3_struct_0(X0)
      | ~ v2_pre_topc(X0)
      | ~ l1_pre_topc(X0) ),
    inference(flattening,[],[f160]) ).

fof(f162,plain,
    ! [X0] :
      ( ( v1_funct_1(k5_lopclset(X0))
        & v1_funct_2(k5_lopclset(X0),k2_zfmisc_1(k1_lopclset(X0),k1_lopclset(X0)),k1_lopclset(X0))
        & m2_relset_1(k5_lopclset(X0),k2_zfmisc_1(k1_lopclset(X0),k1_lopclset(X0)),k1_lopclset(X0)) )
      | v3_struct_0(X0)
      | ~ v2_pre_topc(X0)
      | ~ l1_pre_topc(X0) ),
    inference(ennf_transformation,[],[f59]) ).

fof(f163,plain,
    ! [X0] :
      ( ( v1_funct_1(k5_lopclset(X0))
        & v1_funct_2(k5_lopclset(X0),k2_zfmisc_1(k1_lopclset(X0),k1_lopclset(X0)),k1_lopclset(X0))
        & m2_relset_1(k5_lopclset(X0),k2_zfmisc_1(k1_lopclset(X0),k1_lopclset(X0)),k1_lopclset(X0)) )
      | v3_struct_0(X0)
      | ~ v2_pre_topc(X0)
      | ~ l1_pre_topc(X0) ),
    inference(flattening,[],[f162]) ).

fof(f182,plain,
    ! [X0,X1] :
      ( v1_xboole_0(X1)
      | r2_hidden(X0,X1)
      | ~ m1_subset_1(X0,X1) ),
    inference(ennf_transformation,[],[f73]) ).

fof(f183,plain,
    ! [X0,X1] :
      ( v1_xboole_0(X1)
      | r2_hidden(X0,X1)
      | ~ m1_subset_1(X0,X1) ),
    inference(flattening,[],[f182]) ).

fof(f192,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( m2_subset_1(X2,X0,X1)
        <=> m1_subset_1(X2,X1) )
      | v1_xboole_0(X0)
      | v1_xboole_0(X1)
      | ~ m1_subset_1(X1,k1_zfmisc_1(X0)) ),
    inference(ennf_transformation,[],[f82]) ).

fof(f193,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( m2_subset_1(X2,X0,X1)
        <=> m1_subset_1(X2,X1) )
      | v1_xboole_0(X0)
      | v1_xboole_0(X1)
      | ~ m1_subset_1(X1,k1_zfmisc_1(X0)) ),
    inference(flattening,[],[f192]) ).

fof(f194,plain,
    ! [X0] :
      ( m1_subset_1(k1_lopclset(X0),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0))))
      | v3_struct_0(X0)
      | ~ l1_pre_topc(X0) ),
    inference(ennf_transformation,[],[f83]) ).

fof(f195,plain,
    ! [X0] :
      ( m1_subset_1(k1_lopclset(X0),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0))))
      | v3_struct_0(X0)
      | ~ l1_pre_topc(X0) ),
    inference(flattening,[],[f194]) ).

fof(f202,plain,
    ! [X0] :
      ( ~ v1_xboole_0(k1_lopclset(X0))
      | v3_struct_0(X0)
      | ~ v2_pre_topc(X0)
      | ~ l1_pre_topc(X0) ),
    inference(ennf_transformation,[],[f92]) ).

fof(f203,plain,
    ! [X0] :
      ( ~ v1_xboole_0(k1_lopclset(X0))
      | v3_struct_0(X0)
      | ~ v2_pre_topc(X0)
      | ~ l1_pre_topc(X0) ),
    inference(flattening,[],[f202]) ).

fof(f209,plain,
    ! [X0] :
      ( k6_lopclset(X0) = g3_lattices(k1_lopclset(X0),k4_lopclset(X0),k5_lopclset(X0))
      | v3_struct_0(X0)
      | ~ v2_pre_topc(X0)
      | ~ l1_pre_topc(X0) ),
    inference(ennf_transformation,[],[f96]) ).

fof(f210,plain,
    ! [X0] :
      ( k6_lopclset(X0) = g3_lattices(k1_lopclset(X0),k4_lopclset(X0),k5_lopclset(X0))
      | v3_struct_0(X0)
      | ~ v2_pre_topc(X0)
      | ~ l1_pre_topc(X0) ),
    inference(flattening,[],[f209]) ).

fof(f211,plain,
    ! [X0] :
      ( m2_subset_1(k2_pre_topc(X0),k1_zfmisc_1(u1_struct_0(X0)),k1_lopclset(X0))
      | v3_struct_0(X0)
      | ~ v2_pre_topc(X0)
      | ~ l1_pre_topc(X0) ),
    inference(ennf_transformation,[],[f97]) ).

fof(f212,plain,
    ! [X0] :
      ( m2_subset_1(k2_pre_topc(X0),k1_zfmisc_1(u1_struct_0(X0)),k1_lopclset(X0))
      | v3_struct_0(X0)
      | ~ v2_pre_topc(X0)
      | ~ l1_pre_topc(X0) ),
    inference(flattening,[],[f211]) ).

fof(f213,plain,
    ( ~ m1_subset_1(k2_pre_topc(sK0),u1_struct_0(k6_lopclset(sK0)))
    & ~ v3_struct_0(sK0)
    & v2_pre_topc(sK0)
    & l1_pre_topc(sK0) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f119]) ).

fof(f220,plain,
    ! [X0,X1,X2] :
      ( ( m2_relset_1(X2,X0,X1)
        | ~ m1_relset_1(X2,X0,X1) )
      & ( m1_relset_1(X2,X0,X1)
        | ~ m2_relset_1(X2,X0,X1) ) ),
    inference(nnf_transformation,[],[f14]) ).

fof(f240,plain,
    ! [X0] : m1_subset_1(sK23(X0),X0),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK23]),skolemize(X1,sK23(X0))],[f80]) ).

fof(f242,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( ( m2_subset_1(X2,X0,X1)
            | ~ m1_subset_1(X2,X1) )
          & ( m1_subset_1(X2,X1)
            | ~ m2_subset_1(X2,X0,X1) ) )
      | v1_xboole_0(X0)
      | v1_xboole_0(X1)
      | ~ m1_subset_1(X1,k1_zfmisc_1(X0)) ),
    inference(nnf_transformation,[],[f193]) ).

fof(f243,plain,
    l1_pre_topc(sK0),
    inference(cnf_transformation,[],[f213]) ).

fof(f244,plain,
    v2_pre_topc(sK0),
    inference(cnf_transformation,[],[f213]) ).

fof(f245,plain,
    ~ v3_struct_0(sK0),
    inference(cnf_transformation,[],[f213]) ).

fof(f246,plain,
    ~ m1_subset_1(k2_pre_topc(sK0),u1_struct_0(k6_lopclset(sK0))),
    inference(cnf_transformation,[],[f213]) ).

fof(f261,plain,
    ! [X0] :
      ( ~ v3_lattices(X0)
      | g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) = X0
      | ~ l3_lattices(X0) ),
    inference(cnf_transformation,[],[f126]) ).

fof(f266,plain,
    ! [X2,X0,X1] :
      ( ~ m2_relset_1(X2,X0,X1)
      | m1_relset_1(X2,X0,X1) ),
    inference(cnf_transformation,[],[f220]) ).

fof(f338,plain,
    ! [X0,X1] :
      ( ~ r2_hidden(X0,X1)
      | m1_subset_1(X0,X1) ),
    inference(cnf_transformation,[],[f152]) ).

fof(f340,plain,
    ! [X2,X0,X1] :
      ( ~ m1_subset_1(X1,k1_zfmisc_1(X2))
      | ~ r2_hidden(X0,X1)
      | ~ v1_xboole_0(X2) ),
    inference(cnf_transformation,[],[f155]) ).

fof(f343,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( g3_lattices(X0,X1,X2) != g3_lattices(X3,X4,X5)
      | X0 = X3
      | ~ v1_funct_1(X1)
      | ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
      | ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
      | ~ v1_funct_1(X2)
      | ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
      | ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0) ),
    inference(cnf_transformation,[],[f157]) ).

fof(f347,plain,
    ! [X2,X0,X1] :
      ( ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
      | ~ v1_funct_1(X1)
      | ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
      | ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
      | ~ v1_funct_1(X2)
      | ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
      | l3_lattices(g3_lattices(X0,X1,X2)) ),
    inference(cnf_transformation,[],[f159]) ).

fof(f348,plain,
    ! [X2,X0,X1] :
      ( ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
      | ~ v1_funct_1(X1)
      | ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
      | ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
      | ~ v1_funct_1(X2)
      | ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
      | v3_lattices(g3_lattices(X0,X1,X2)) ),
    inference(cnf_transformation,[],[f159]) ).

fof(f349,plain,
    ! [X0] :
      ( m2_relset_1(k4_lopclset(X0),k2_zfmisc_1(k1_lopclset(X0),k1_lopclset(X0)),k1_lopclset(X0))
      | v3_struct_0(X0)
      | ~ v2_pre_topc(X0)
      | ~ l1_pre_topc(X0) ),
    inference(cnf_transformation,[],[f161]) ).

fof(f350,plain,
    ! [X0] :
      ( v1_funct_2(k4_lopclset(X0),k2_zfmisc_1(k1_lopclset(X0),k1_lopclset(X0)),k1_lopclset(X0))
      | v3_struct_0(X0)
      | ~ v2_pre_topc(X0)
      | ~ l1_pre_topc(X0) ),
    inference(cnf_transformation,[],[f161]) ).

fof(f351,plain,
    ! [X0] :
      ( v1_funct_1(k4_lopclset(X0))
      | v3_struct_0(X0)
      | ~ v2_pre_topc(X0)
      | ~ l1_pre_topc(X0) ),
    inference(cnf_transformation,[],[f161]) ).

fof(f352,plain,
    ! [X0] :
      ( m2_relset_1(k5_lopclset(X0),k2_zfmisc_1(k1_lopclset(X0),k1_lopclset(X0)),k1_lopclset(X0))
      | v3_struct_0(X0)
      | ~ v2_pre_topc(X0)
      | ~ l1_pre_topc(X0) ),
    inference(cnf_transformation,[],[f163]) ).

fof(f353,plain,
    ! [X0] :
      ( v1_funct_2(k5_lopclset(X0),k2_zfmisc_1(k1_lopclset(X0),k1_lopclset(X0)),k1_lopclset(X0))
      | v3_struct_0(X0)
      | ~ v2_pre_topc(X0)
      | ~ l1_pre_topc(X0) ),
    inference(cnf_transformation,[],[f163]) ).

fof(f354,plain,
    ! [X0] :
      ( v1_funct_1(k5_lopclset(X0))
      | v3_struct_0(X0)
      | ~ v2_pre_topc(X0)
      | ~ l1_pre_topc(X0) ),
    inference(cnf_transformation,[],[f163]) ).

fof(f384,plain,
    ! [X0,X1] :
      ( ~ m1_subset_1(X0,X1)
      | r2_hidden(X0,X1)
      | v1_xboole_0(X1) ),
    inference(cnf_transformation,[],[f183]) ).

fof(f396,plain,
    ! [X0] : m1_subset_1(sK23(X0),X0),
    inference(cnf_transformation,[],[f240]) ).

fof(f398,plain,
    ! [X2,X0,X1] :
      ( ~ m2_subset_1(X2,X0,X1)
      | m1_subset_1(X2,X1)
      | v1_xboole_0(X0)
      | v1_xboole_0(X1)
      | ~ m1_subset_1(X1,k1_zfmisc_1(X0)) ),
    inference(cnf_transformation,[],[f242]) ).

fof(f400,plain,
    ! [X0] :
      ( m1_subset_1(k1_lopclset(X0),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0))))
      | v3_struct_0(X0)
      | ~ l1_pre_topc(X0) ),
    inference(cnf_transformation,[],[f195]) ).

fof(f411,plain,
    ! [X0] :
      ( ~ v1_xboole_0(k1_lopclset(X0))
      | v3_struct_0(X0)
      | ~ v2_pre_topc(X0)
      | ~ l1_pre_topc(X0) ),
    inference(cnf_transformation,[],[f203]) ).

fof(f415,plain,
    ! [X0] :
      ( ~ l1_pre_topc(X0)
      | v3_struct_0(X0)
      | ~ v2_pre_topc(X0)
      | k6_lopclset(X0) = g3_lattices(k1_lopclset(X0),k4_lopclset(X0),k5_lopclset(X0)) ),
    inference(cnf_transformation,[],[f210]) ).

fof(f416,plain,
    ! [X0] :
      ( m2_subset_1(k2_pre_topc(X0),k1_zfmisc_1(u1_struct_0(X0)),k1_lopclset(X0))
      | v3_struct_0(X0)
      | ~ v2_pre_topc(X0)
      | ~ l1_pre_topc(X0) ),
    inference(cnf_transformation,[],[f212]) ).

fof(f421,plain,
    m2_subset_1(k2_pre_topc(sK0),k1_zfmisc_1(u1_struct_0(sK0)),k1_lopclset(sK0)),
    inference(unit_resulting_resolution,[],[f416,f243,f244,f245]) ).

fof(f422,plain,
    k6_lopclset(sK0) = g3_lattices(k1_lopclset(sK0),k4_lopclset(sK0),k5_lopclset(sK0)),
    inference(unit_resulting_resolution,[],[f415,f243,f244,f245]) ).

fof(f447,plain,
    v1_funct_1(k4_lopclset(sK0)),
    inference(unit_resulting_resolution,[],[f351,f243,f244,f245]) ).

fof(f448,plain,
    v1_funct_1(k5_lopclset(sK0)),
    inference(unit_resulting_resolution,[],[f354,f243,f244,f245]) ).

fof(f450,plain,
    ~ v1_xboole_0(k1_lopclset(sK0)),
    inference(unit_resulting_resolution,[],[f411,f243,f244,f245]) ).

fof(f456,plain,
    m1_subset_1(k1_lopclset(sK0),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(sK0)))),
    inference(unit_resulting_resolution,[],[f400,f243,f245]) ).

fof(f463,plain,
    m2_relset_1(k4_lopclset(sK0),k2_zfmisc_1(k1_lopclset(sK0),k1_lopclset(sK0)),k1_lopclset(sK0)),
    inference(unit_resulting_resolution,[],[f349,f243,f244,f245]) ).

fof(f464,plain,
    v1_funct_2(k4_lopclset(sK0),k2_zfmisc_1(k1_lopclset(sK0),k1_lopclset(sK0)),k1_lopclset(sK0)),
    inference(unit_resulting_resolution,[],[f350,f243,f244,f245]) ).

fof(f465,plain,
    m2_relset_1(k5_lopclset(sK0),k2_zfmisc_1(k1_lopclset(sK0),k1_lopclset(sK0)),k1_lopclset(sK0)),
    inference(unit_resulting_resolution,[],[f352,f243,f244,f245]) ).

fof(f468,plain,
    v1_funct_2(k5_lopclset(sK0),k2_zfmisc_1(k1_lopclset(sK0),k1_lopclset(sK0)),k1_lopclset(sK0)),
    inference(unit_resulting_resolution,[],[f353,f243,f244,f245]) ).

fof(f480,definition,
    ( spl25_1
  <=> m1_relset_1(k5_lopclset(sK0),k2_zfmisc_1(k1_lopclset(sK0),k1_lopclset(sK0)),k1_lopclset(sK0)) ),
    introduced(definition,[new_symbols(definition,[spl25_1])],[avatar_definition]) ).

fof(f481,plain,
    ( m1_relset_1(k5_lopclset(sK0),k2_zfmisc_1(k1_lopclset(sK0),k1_lopclset(sK0)),k1_lopclset(sK0))
    | ~ spl25_1 ),
    inference(avatar_component_clause,[],[f480]) ).

fof(f484,definition,
    ( spl25_2
  <=> v1_funct_2(k5_lopclset(sK0),k2_zfmisc_1(k1_lopclset(sK0),k1_lopclset(sK0)),k1_lopclset(sK0)) ),
    introduced(definition,[new_symbols(definition,[spl25_2])],[avatar_definition]) ).

fof(f485,plain,
    ( v1_funct_2(k5_lopclset(sK0),k2_zfmisc_1(k1_lopclset(sK0),k1_lopclset(sK0)),k1_lopclset(sK0))
    | ~ spl25_2 ),
    inference(avatar_component_clause,[],[f484]) ).

fof(f488,definition,
    ( spl25_3
  <=> m1_relset_1(k4_lopclset(sK0),k2_zfmisc_1(k1_lopclset(sK0),k1_lopclset(sK0)),k1_lopclset(sK0)) ),
    introduced(definition,[new_symbols(definition,[spl25_3])],[avatar_definition]) ).

fof(f489,plain,
    ( m1_relset_1(k4_lopclset(sK0),k2_zfmisc_1(k1_lopclset(sK0),k1_lopclset(sK0)),k1_lopclset(sK0))
    | ~ spl25_3 ),
    inference(avatar_component_clause,[],[f488]) ).

fof(f492,definition,
    ( spl25_4
  <=> v1_funct_2(k4_lopclset(sK0),k2_zfmisc_1(k1_lopclset(sK0),k1_lopclset(sK0)),k1_lopclset(sK0)) ),
    introduced(definition,[new_symbols(definition,[spl25_4])],[avatar_definition]) ).

fof(f493,plain,
    ( v1_funct_2(k4_lopclset(sK0),k2_zfmisc_1(k1_lopclset(sK0),k1_lopclset(sK0)),k1_lopclset(sK0))
    | ~ spl25_4 ),
    inference(avatar_component_clause,[],[f492]) ).

fof(f499,plain,
    spl25_4,
    inference(avatar_split_clause,[],[f464,f492]) ).

fof(f520,plain,
    spl25_2,
    inference(avatar_split_clause,[],[f468,f484]) ).

fof(f536,plain,
    ~ r2_hidden(k2_pre_topc(sK0),u1_struct_0(k6_lopclset(sK0))),
    inference(unit_resulting_resolution,[],[f338,f246]) ).

fof(f542,plain,
    m1_relset_1(k4_lopclset(sK0),k2_zfmisc_1(k1_lopclset(sK0),k1_lopclset(sK0)),k1_lopclset(sK0)),
    inference(unit_resulting_resolution,[],[f266,f463]) ).

fof(f543,plain,
    m1_relset_1(k5_lopclset(sK0),k2_zfmisc_1(k1_lopclset(sK0),k1_lopclset(sK0)),k1_lopclset(sK0)),
    inference(unit_resulting_resolution,[],[f266,f465]) ).

fof(f549,plain,
    spl25_3,
    inference(avatar_split_clause,[],[f542,f488]) ).

fof(f552,plain,
    spl25_1,
    inference(avatar_split_clause,[],[f543,f480]) ).

fof(f566,plain,
    ( l3_lattices(g3_lattices(k1_lopclset(sK0),k4_lopclset(sK0),k5_lopclset(sK0)))
    | ~ spl25_1
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_4 ),
    inference(unit_resulting_resolution,[],[f347,f448,f447,f485,f481,f493,f489]) ).

fof(f570,plain,
    ( v3_lattices(g3_lattices(k1_lopclset(sK0),k4_lopclset(sK0),k5_lopclset(sK0)))
    | ~ spl25_1
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_4 ),
    inference(unit_resulting_resolution,[],[f348,f448,f447,f485,f481,f493,f489]) ).

fof(f585,plain,
    r2_hidden(sK23(k1_lopclset(sK0)),k1_lopclset(sK0)),
    inference(unit_resulting_resolution,[],[f384,f450,f396]) ).

fof(f673,plain,
    ~ v1_xboole_0(k1_zfmisc_1(u1_struct_0(sK0))),
    inference(unit_resulting_resolution,[],[f340,f456,f585]) ).

fof(f684,plain,
    m1_subset_1(k2_pre_topc(sK0),k1_lopclset(sK0)),
    inference(unit_resulting_resolution,[],[f398,f450,f421,f456,f673]) ).

fof(f703,plain,
    ( g3_lattices(k1_lopclset(sK0),k4_lopclset(sK0),k5_lopclset(sK0)) = g3_lattices(u1_struct_0(g3_lattices(k1_lopclset(sK0),k4_lopclset(sK0),k5_lopclset(sK0))),u2_lattices(g3_lattices(k1_lopclset(sK0),k4_lopclset(sK0),k5_lopclset(sK0))),u1_lattices(g3_lattices(k1_lopclset(sK0),k4_lopclset(sK0),k5_lopclset(sK0))))
    | ~ spl25_1
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_4 ),
    inference(unit_resulting_resolution,[],[f261,f566,f570]) ).

fof(f719,plain,
    r2_hidden(k2_pre_topc(sK0),k1_lopclset(sK0)),
    inference(unit_resulting_resolution,[],[f384,f450,f684]) ).

fof(f1588,plain,
    ( k1_lopclset(sK0) = u1_struct_0(g3_lattices(k1_lopclset(sK0),k4_lopclset(sK0),k5_lopclset(sK0)))
    | ~ spl25_1
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_4 ),
    inference(unit_resulting_resolution,[],[f343,f448,f447,f481,f485,f489,f493,f703]) ).

fof(f1675,definition,
    ( spl25_122
  <=> k1_lopclset(sK0) = u1_struct_0(g3_lattices(k1_lopclset(sK0),k4_lopclset(sK0),k5_lopclset(sK0))) ),
    introduced(definition,[new_symbols(definition,[spl25_122])],[avatar_definition]) ).

fof(f1677,plain,
    ( k1_lopclset(sK0) = u1_struct_0(g3_lattices(k1_lopclset(sK0),k4_lopclset(sK0),k5_lopclset(sK0)))
    | ~ spl25_122 ),
    inference(avatar_component_clause,[],[f1675]) ).

fof(f2603,plain,
    ( spl25_122
    | ~ spl25_1
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_4 ),
    inference(avatar_split_clause,[],[f1588,f492,f488,f484,f480,f1675]) ).

fof(f2609,plain,
    ( u1_struct_0(k6_lopclset(sK0)) = k1_lopclset(sK0)
    | ~ spl25_122 ),
    inference(superposition,[],[f1677,f422]) ).

fof(f2690,plain,
    ( ~ r2_hidden(k2_pre_topc(sK0),k1_lopclset(sK0))
    | ~ spl25_122 ),
    inference(superposition,[],[f536,f2609]) ).

fof(f2731,plain,
    ( $false
    | ~ spl25_122 ),
    inference(forward_subsumption_resolution,[],[f2690,f719]) ).

fof(f2732,plain,
    ~ spl25_122,
    inference(avatar_contradiction_clause,[],[f2731]) ).

cnf(s2,plain,
    spl25_4,
    inference(sat_conversion,[],[f499]) ).

cnf(s5,plain,
    spl25_2,
    inference(sat_conversion,[],[f520]) ).

cnf(s8,plain,
    spl25_3,
    inference(sat_conversion,[],[f549]) ).

cnf(s10,plain,
    spl25_1,
    inference(sat_conversion,[],[f552]) ).

cnf(s230,plain,
    ( ~ spl25_1
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_4
    | spl25_122 ),
    inference(sat_conversion,[],[f2603]) ).

cnf(s244,plain,
    ~ spl25_122,
    inference(sat_conversion,[],[f2732]) ).

cnf(s251,plain,
    ( ~ spl25_1
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_4 ),
    inference(rat,[],[s230,s244]) ).

cnf(s285,plain,
    ~ spl25_4,
    inference(rat,[],[s251,s8,s10,s5]) ).

cnf(s290,plain,
    $false,
    inference(rat,[],[s2,s285]) ).

fof(f2757,plain,
    $false,
    inference(avatar_sat_refutation,[],[s290]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : LAT286+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.37  % Computer : n026.cluster.edu
% 0.11/0.37  % Model    : x86_64 x86_64
% 0.11/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37  % Memory   : 8046.5625MB
% 0.11/0.37  % OS       : Linux 6.8.0-71-generic
% 0.11/0.37  % CPULimit : 300
% 0.11/0.37  % WCLimit  : 300
% 0.11/0.37  % DateTime : Sun Sep 27 14:18:27 UTC 2026
% 0.11/0.38  % CPUTime  : 
% 0.11/0.38  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.41  Running first-order theorem proving
% 0.11/0.41  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
% 5.44/1.76  % (2886346)Detected formulas, will run a generic FOF schedule.
% 5.44/1.76  % (2886355)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=881390847:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 5.44/1.76  % (2886355)Refutation not found, incomplete strategy
% 5.44/1.76  % (2886355)------------------------------
% 5.44/1.76  % (2886355)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.44/1.76  % (2886355)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.44/1.76  % (2886355)CaDiCaL version: 2.1.3
% 5.44/1.76  % (2886355)Termination reason: Refutation not found, incomplete strategy
% 5.44/1.76  % (2886355)Time elapsed: 0.001 s
% 5.44/1.76  % (2886355)Peak memory usage: 88 MB
% 5.44/1.76  % (2886355)Instructions burned: 1 (million)
% 5.44/1.76  % (2886352)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=3751321726:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 5.44/1.76  % (2886353)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=3923025056:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 5.44/1.76  % (2886354)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3657073855:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 5.44/1.76  % (2886351)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=2630758555:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 5.44/1.76  % (2886356)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=66091254:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 5.44/1.76  % (2886354)Refutation not found, incomplete strategy
% 5.44/1.76  % (2886354)------------------------------
% 5.44/1.76  % (2886354)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.44/1.76  % (2886354)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.44/1.76  % (2886354)CaDiCaL version: 2.1.3
% 5.44/1.76  % (2886354)Termination reason: Refutation not found, incomplete strategy
% 5.44/1.76  % (2886354)Time elapsed: 0.001 s
% 5.44/1.76  % (2886354)Peak memory usage: 87 MB
% 5.44/1.76  % (2886357)dis-21_1_sil=8000:lcm=predicate:random_seed=698595857: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)
% 5.44/1.76  % (2886357)Instruction limit reached! 
% 5.44/1.76  % (2886357)------------------------------
% 5.44/1.76  % (2886357)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.44/1.76  % (2886357)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.44/1.76  % (2886357)CaDiCaL version: 2.1.3
% 5.44/1.76  % (2886357)Termination reason: Instruction limit
% 5.44/1.76  % (2886357)Termination phase: Saturation
% 5.44/1.76  % (2886357)Time elapsed: 0.065 s
% 5.44/1.76  % (2886357)Peak memory usage: 91 MB
% 5.44/1.76  % (2886357)Instructions burned: 131 (million)
% 5.44/1.76  % (2886356)Instruction limit reached! 
% 5.44/1.76  % (2886356)------------------------------
% 5.44/1.76  % (2886356)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.44/1.76  % (2886356)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.44/1.76  % (2886356)CaDiCaL version: 2.1.3
% 5.44/1.76  % (2886356)Termination reason: Instruction limit
% 5.44/1.76  % (2886356)Termination phase: Saturation
% 5.44/1.76  % (2886356)Time elapsed: 0.102 s
% 5.44/1.76  % (2886356)Peak memory usage: 90 MB
% 5.44/1.76  % (2886356)Instructions burned: 140 (million)
% 5.44/1.76  % (2886355)------------------------------
% 5.44/1.76  % (2886355)------------------------------
% 5.44/1.76  % (2886367)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1463517744:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 5.44/1.76  % (2886365)lrs+10_1_sil=8000:sp=occurrence:random_seed=1057519630:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 5.44/1.76  % (2886366)lrs+10_1_sil=32000:urr=on:br=off:random_seed=4256720796:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 5.44/1.76  % (2886366)Refutation not found, incomplete strategy
% 5.44/1.76  % (2886366)------------------------------
% 5.44/1.76  % (2886366)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.44/1.76  % (2886366)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.44/1.76  % (2886366)CaDiCaL version: 2.1.3
% 5.44/1.76  % (2886366)Termination reason: Refutation not found, incomplete strategy
% 5.44/1.76  % (2886366)Time elapsed: 0.002 s
% 5.44/1.76  % (2886366)Peak memory usage: 88 MB
% 5.44/1.76  % (2886366)Instructions burned: 1 (million)
% 5.44/1.76  % (2886354)------------------------------
% 5.44/1.76  % (2886354)------------------------------
% 5.44/1.76  % (2886367)Instruction limit reached! 
% 5.44/1.76  % (2886367)------------------------------
% 5.44/1.76  % (2886367)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.44/1.76  % (2886367)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.44/1.76  % (2886367)CaDiCaL version: 2.1.3
% 5.44/1.76  % (2886367)Termination reason: Instruction limit
% 5.44/1.76  % (2886367)Termination phase: Saturation
% 5.44/1.76  % (2886367)Time elapsed: 0.127 s
% 5.44/1.76  % (2886367)Peak memory usage: 92 MB
% 5.44/1.76  % (2886367)Instructions burned: 326 (million)
% 5.44/1.76  % (2886371)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=3703134405:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 5.44/1.76  % (2886365)Instruction limit reached! 
% 5.44/1.76  % (2886365)------------------------------
% 5.44/1.76  % (2886365)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.44/1.76  % (2886365)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.44/1.76  % (2886365)CaDiCaL version: 2.1.3
% 5.44/1.76  % (2886365)Termination reason: Instruction limit
% 5.44/1.76  % (2886365)Termination phase: Saturation
% 5.44/1.76  % (2886365)Time elapsed: 0.178 s
% 5.44/1.76  % (2886365)Peak memory usage: 91 MB
% 5.44/1.76  % (2886365)Instructions burned: 285 (million)
% 5.44/1.76  % (2886372)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3027713551:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 5.44/1.76  % (2886372)Refutation not found, incomplete strategy
% 5.44/1.76  % (2886372)------------------------------
% 5.44/1.76  % (2886372)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.44/1.76  % (2886372)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.44/1.76  % (2886372)CaDiCaL version: 2.1.3
% 5.44/1.76  % (2886372)Termination reason: Refutation not found, incomplete strategy
% 5.44/1.76  % (2886372)Time elapsed: 0.002 s
% 5.44/1.76  % (2886372)Peak memory usage: 88 MB
% 5.44/1.76  % (2886372)Instructions burned: 5 (million)
% 5.44/1.76  % (2886366)------------------------------
% 5.44/1.76  % (2886366)------------------------------
% 5.44/1.76  % (2886371)First to succeed.
% 5.44/1.76  % (2886371)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2886346"
% 5.44/1.76  % (2886374)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2505693259:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 5.44/1.76  % (2886372)------------------------------
% 5.44/1.76  % (2886372)------------------------------
% 5.44/1.76  % (2886376)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=714777573:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 5.44/1.76  % (2886378)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1293308279:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 5.44/1.76  % (2886351)Also succeeded, but the first one will report.
% 5.44/1.76  % (2886378)Instruction limit reached! 
% 5.44/1.76  % (2886378)------------------------------
% 5.44/1.76  % (2886378)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.44/1.76  % (2886378)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.44/1.76  % (2886378)CaDiCaL version: 2.1.3
% 5.44/1.76  % (2886378)Termination reason: Instruction limit
% 5.44/1.76  % (2886378)Termination phase: Saturation
% 5.44/1.76  % (2886378)Time elapsed: 0.035 s
% 5.44/1.76  % (2886378)Peak memory usage: 89 MB
% 5.44/1.76  % (2886378)Instructions burned: 127 (million)
% 5.44/1.76  % (2886353)Also succeeded, but the first one will report.
% 5.44/1.76  % (2886376)Also succeeded, but the first one will report.
% 5.44/1.76  % (2886371)Refutation found. Thanks to Tanya!
% 5.44/1.76  % SZS status Theorem for theBenchmark
% 5.44/1.76  % SZS output start Proof for theBenchmark
% See solution above
% 7.01/1.95  % (2886371)------------------------------
% 7.01/1.95  % (2886371)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.01/1.95  % (2886371)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.01/1.95  % (2886371)CaDiCaL version: 2.1.3
% 7.01/1.95  % (2886371)Termination reason: Refutation
% 7.01/1.95  % (2886371)Time elapsed: 0.121 s
% 7.01/1.95  % (2886371)Peak memory usage: 91 MB
% 7.01/1.95  % (2886371)Instructions burned: 213 (million)
% 7.01/1.95  % (2886371)------------------------------
% 7.01/1.95  % (2886371)------------------------------
% 7.01/1.95  % (2886346)Success in time 0.911 s
% 7.01/1.95  % Vampire exiting
%------------------------------------------------------------------------------