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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : GRP644+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 : n019.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 10:15:15 AM UTC 2026

% Result   : Theorem 1.72s 1.11s
% Output   : Refutation 0.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   26
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   57 (  13 unt;   0 def)
%            Number of atoms       :  287 (   0 equ)
%            Maximal formula atoms :   11 (   5 avg)
%            Number of connectives :  408 ( 178   ~; 167   |;  44   &)
%                                         (   3 <=>;  16  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   6 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   10 (   9 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   3 con; 0-2 aty)
%            Number of variables   :   50 (  44   !;   6   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,conjecture,
    ! [X0] :
      ( ( ~ v3_struct_0(X0)
        & v3_group_1(X0)
        & v4_group_1(X0)
        & l1_group_1(X0) )
     => ! [X1] :
          ( ( v1_group_1(X1)
            & m1_group_2(X1,X0) )
         => ! [X2] :
              ( m1_subset_1(X2,u1_struct_0(X0))
             => ( r2_hidden(X2,k1_funct_1(k1_latsubgr(X0),X1))
               => r2_hidden(k3_group_1(X0,X2),k1_funct_1(k1_latsubgr(X0),X1)) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t22_latsubgr) ).

fof(f2,negated_conjecture,
    ~ ! [X0] :
        ( ( ~ v3_struct_0(X0)
          & v3_group_1(X0)
          & v4_group_1(X0)
          & l1_group_1(X0) )
       => ! [X1] :
            ( ( v1_group_1(X1)
              & m1_group_2(X1,X0) )
           => ! [X2] :
                ( m1_subset_1(X2,u1_struct_0(X0))
               => ( r2_hidden(X2,k1_funct_1(k1_latsubgr(X0),X1))
                 => r2_hidden(k3_group_1(X0,X2),k1_funct_1(k1_latsubgr(X0),X1)) ) ) ) ),
    inference(negated_conjecture,[status(cth)],[f1]) ).

fof(f16,axiom,
    ! [X0,X1] :
      ( ( ~ v3_struct_0(X0)
        & v3_group_1(X0)
        & v4_group_1(X0)
        & l1_group_1(X0)
        & m1_subset_1(X1,u1_struct_0(X0)) )
     => m1_subset_1(k3_group_1(X0,X1),u1_struct_0(X0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k3_group_1) ).

fof(f47,axiom,
    ! [X0] :
      ( ( ~ v3_struct_0(X0)
        & v3_group_1(X0)
        & v4_group_1(X0)
        & l1_group_1(X0) )
     => ! [X1] :
          ( ( v1_group_1(X1)
            & m1_group_2(X1,X0) )
         => ! [X2] :
              ( m1_subset_1(X2,u1_struct_0(X0))
             => ( r2_hidden(X2,k1_funct_1(k1_latsubgr(X0),X1))
              <=> r1_rlvect_1(X1,X2) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t18_latsubgr) ).

fof(f53,axiom,
    ! [X0] :
      ( ( ~ v3_struct_0(X0)
        & v3_group_1(X0)
        & v4_group_1(X0)
        & l1_group_1(X0) )
     => ! [X1] :
          ( m1_subset_1(X1,u1_struct_0(X0))
         => ! [X2] :
              ( m1_group_2(X2,X0)
             => ( r1_rlvect_1(X2,X1)
               => r1_rlvect_1(X2,k3_group_1(X0,X1)) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t60_group_2) ).

fof(f57,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ~ r2_hidden(k3_group_1(X0,X2),k1_funct_1(k1_latsubgr(X0),X1))
              & r2_hidden(X2,k1_funct_1(k1_latsubgr(X0),X1))
              & m1_subset_1(X2,u1_struct_0(X0)) )
          & v1_group_1(X1)
          & m1_group_2(X1,X0) )
      & ~ v3_struct_0(X0)
      & v3_group_1(X0)
      & v4_group_1(X0)
      & l1_group_1(X0) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f58,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ~ r2_hidden(k3_group_1(X0,X2),k1_funct_1(k1_latsubgr(X0),X1))
              & r2_hidden(X2,k1_funct_1(k1_latsubgr(X0),X1))
              & m1_subset_1(X2,u1_struct_0(X0)) )
          & v1_group_1(X1)
          & m1_group_2(X1,X0) )
      & ~ v3_struct_0(X0)
      & v3_group_1(X0)
      & v4_group_1(X0)
      & l1_group_1(X0) ),
    inference(flattening,[],[f57]) ).

fof(f59,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ( r2_hidden(X2,k1_funct_1(k1_latsubgr(X0),X1))
              <=> r1_rlvect_1(X1,X2) )
              | ~ m1_subset_1(X2,u1_struct_0(X0)) )
          | ~ v1_group_1(X1)
          | ~ m1_group_2(X1,X0) )
      | v3_struct_0(X0)
      | ~ v3_group_1(X0)
      | ~ v4_group_1(X0)
      | ~ l1_group_1(X0) ),
    inference(ennf_transformation,[],[f47]) ).

fof(f60,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ( r2_hidden(X2,k1_funct_1(k1_latsubgr(X0),X1))
              <=> r1_rlvect_1(X1,X2) )
              | ~ m1_subset_1(X2,u1_struct_0(X0)) )
          | ~ v1_group_1(X1)
          | ~ m1_group_2(X1,X0) )
      | v3_struct_0(X0)
      | ~ v3_group_1(X0)
      | ~ v4_group_1(X0)
      | ~ l1_group_1(X0) ),
    inference(flattening,[],[f59]) ).

fof(f61,plain,
    ! [X0,X1] :
      ( m1_subset_1(k3_group_1(X0,X1),u1_struct_0(X0))
      | v3_struct_0(X0)
      | ~ v3_group_1(X0)
      | ~ v4_group_1(X0)
      | ~ l1_group_1(X0)
      | ~ m1_subset_1(X1,u1_struct_0(X0)) ),
    inference(ennf_transformation,[],[f16]) ).

fof(f62,plain,
    ! [X0,X1] :
      ( m1_subset_1(k3_group_1(X0,X1),u1_struct_0(X0))
      | v3_struct_0(X0)
      | ~ v3_group_1(X0)
      | ~ v4_group_1(X0)
      | ~ l1_group_1(X0)
      | ~ m1_subset_1(X1,u1_struct_0(X0)) ),
    inference(flattening,[],[f61]) ).

fof(f75,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( r1_rlvect_1(X2,k3_group_1(X0,X1))
              | ~ r1_rlvect_1(X2,X1)
              | ~ m1_group_2(X2,X0) )
          | ~ m1_subset_1(X1,u1_struct_0(X0)) )
      | v3_struct_0(X0)
      | ~ v3_group_1(X0)
      | ~ v4_group_1(X0)
      | ~ l1_group_1(X0) ),
    inference(ennf_transformation,[],[f53]) ).

fof(f76,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( r1_rlvect_1(X2,k3_group_1(X0,X1))
              | ~ r1_rlvect_1(X2,X1)
              | ~ m1_group_2(X2,X0) )
          | ~ m1_subset_1(X1,u1_struct_0(X0)) )
      | v3_struct_0(X0)
      | ~ v3_group_1(X0)
      | ~ v4_group_1(X0)
      | ~ l1_group_1(X0) ),
    inference(flattening,[],[f75]) ).

fof(f78,plain,
    ( ~ r2_hidden(k3_group_1(sK0,sK2),k1_funct_1(k1_latsubgr(sK0),sK1))
    & r2_hidden(sK2,k1_funct_1(k1_latsubgr(sK0),sK1))
    & m1_subset_1(sK2,u1_struct_0(sK0))
    & v1_group_1(sK1)
    & m1_group_2(sK1,sK0)
    & ~ v3_struct_0(sK0)
    & v3_group_1(sK0)
    & v4_group_1(sK0)
    & l1_group_1(sK0) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f58]) ).

fof(f79,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ( ( r2_hidden(X2,k1_funct_1(k1_latsubgr(X0),X1))
                  | ~ r1_rlvect_1(X1,X2) )
                & ( r1_rlvect_1(X1,X2)
                  | ~ r2_hidden(X2,k1_funct_1(k1_latsubgr(X0),X1)) ) )
              | ~ m1_subset_1(X2,u1_struct_0(X0)) )
          | ~ v1_group_1(X1)
          | ~ m1_group_2(X1,X0) )
      | v3_struct_0(X0)
      | ~ v3_group_1(X0)
      | ~ v4_group_1(X0)
      | ~ l1_group_1(X0) ),
    inference(nnf_transformation,[],[f60]) ).

fof(f87,plain,
    l1_group_1(sK0),
    inference(cnf_transformation,[],[f78]) ).

fof(f88,plain,
    v4_group_1(sK0),
    inference(cnf_transformation,[],[f78]) ).

fof(f89,plain,
    v3_group_1(sK0),
    inference(cnf_transformation,[],[f78]) ).

fof(f90,plain,
    ~ v3_struct_0(sK0),
    inference(cnf_transformation,[],[f78]) ).

fof(f91,plain,
    m1_group_2(sK1,sK0),
    inference(cnf_transformation,[],[f78]) ).

fof(f92,plain,
    v1_group_1(sK1),
    inference(cnf_transformation,[],[f78]) ).

fof(f93,plain,
    m1_subset_1(sK2,u1_struct_0(sK0)),
    inference(cnf_transformation,[],[f78]) ).

fof(f94,plain,
    r2_hidden(sK2,k1_funct_1(k1_latsubgr(sK0),sK1)),
    inference(cnf_transformation,[],[f78]) ).

fof(f95,plain,
    ~ r2_hidden(k3_group_1(sK0,sK2),k1_funct_1(k1_latsubgr(sK0),sK1)),
    inference(cnf_transformation,[],[f78]) ).

fof(f96,plain,
    ! [X2,X0,X1] :
      ( ~ r2_hidden(X2,k1_funct_1(k1_latsubgr(X0),X1))
      | r1_rlvect_1(X1,X2)
      | ~ m1_subset_1(X2,u1_struct_0(X0))
      | ~ v1_group_1(X1)
      | ~ m1_group_2(X1,X0)
      | v3_struct_0(X0)
      | ~ v3_group_1(X0)
      | ~ v4_group_1(X0)
      | ~ l1_group_1(X0) ),
    inference(cnf_transformation,[],[f79]) ).

fof(f97,plain,
    ! [X2,X0,X1] :
      ( r2_hidden(X2,k1_funct_1(k1_latsubgr(X0),X1))
      | ~ r1_rlvect_1(X1,X2)
      | ~ m1_subset_1(X2,u1_struct_0(X0))
      | ~ v1_group_1(X1)
      | ~ m1_group_2(X1,X0)
      | v3_struct_0(X0)
      | ~ v3_group_1(X0)
      | ~ v4_group_1(X0)
      | ~ l1_group_1(X0) ),
    inference(cnf_transformation,[],[f79]) ).

fof(f98,plain,
    ! [X0,X1] :
      ( m1_subset_1(k3_group_1(X0,X1),u1_struct_0(X0))
      | v3_struct_0(X0)
      | ~ v3_group_1(X0)
      | ~ v4_group_1(X0)
      | ~ l1_group_1(X0)
      | ~ m1_subset_1(X1,u1_struct_0(X0)) ),
    inference(cnf_transformation,[],[f62]) ).

fof(f111,plain,
    ! [X2,X0,X1] :
      ( r1_rlvect_1(X2,k3_group_1(X0,X1))
      | ~ r1_rlvect_1(X2,X1)
      | ~ m1_group_2(X2,X0)
      | ~ m1_subset_1(X1,u1_struct_0(X0))
      | v3_struct_0(X0)
      | ~ v3_group_1(X0)
      | ~ v4_group_1(X0)
      | ~ l1_group_1(X0) ),
    inference(cnf_transformation,[],[f76]) ).

fof(f169,plain,
    ( r1_rlvect_1(sK1,sK2)
    | ~ m1_subset_1(sK2,u1_struct_0(sK0))
    | ~ v1_group_1(sK1)
    | ~ m1_group_2(sK1,sK0)
    | v3_struct_0(sK0)
    | ~ v3_group_1(sK0)
    | ~ v4_group_1(sK0)
    | ~ l1_group_1(sK0) ),
    inference(resolution,[],[f96,f94]) ).

fof(f171,plain,
    ( r1_rlvect_1(sK1,sK2)
    | ~ v1_group_1(sK1)
    | ~ m1_group_2(sK1,sK0)
    | v3_struct_0(sK0)
    | ~ v3_group_1(sK0)
    | ~ v4_group_1(sK0)
    | ~ l1_group_1(sK0) ),
    inference(forward_subsumption_resolution,[],[f169,f93]) ).

fof(f172,plain,
    ( r1_rlvect_1(sK1,sK2)
    | ~ m1_group_2(sK1,sK0)
    | v3_struct_0(sK0)
    | ~ v3_group_1(sK0)
    | ~ v4_group_1(sK0)
    | ~ l1_group_1(sK0) ),
    inference(forward_subsumption_resolution,[],[f171,f92]) ).

fof(f173,plain,
    ( r1_rlvect_1(sK1,sK2)
    | v3_struct_0(sK0)
    | ~ v3_group_1(sK0)
    | ~ v4_group_1(sK0)
    | ~ l1_group_1(sK0) ),
    inference(forward_subsumption_resolution,[],[f172,f91]) ).

fof(f174,plain,
    ( r1_rlvect_1(sK1,sK2)
    | ~ v3_group_1(sK0)
    | ~ v4_group_1(sK0)
    | ~ l1_group_1(sK0) ),
    inference(forward_subsumption_resolution,[],[f173,f90]) ).

fof(f175,plain,
    ( r1_rlvect_1(sK1,sK2)
    | ~ v4_group_1(sK0)
    | ~ l1_group_1(sK0) ),
    inference(forward_subsumption_resolution,[],[f174,f89]) ).

fof(f176,plain,
    ( r1_rlvect_1(sK1,sK2)
    | ~ l1_group_1(sK0) ),
    inference(forward_subsumption_resolution,[],[f175,f88]) ).

fof(f177,plain,
    r1_rlvect_1(sK1,sK2),
    inference(forward_subsumption_resolution,[],[f176,f87]) ).

fof(f178,plain,
    ( ~ r1_rlvect_1(sK1,k3_group_1(sK0,sK2))
    | ~ m1_subset_1(k3_group_1(sK0,sK2),u1_struct_0(sK0))
    | ~ v1_group_1(sK1)
    | ~ m1_group_2(sK1,sK0)
    | v3_struct_0(sK0)
    | ~ v3_group_1(sK0)
    | ~ v4_group_1(sK0)
    | ~ l1_group_1(sK0) ),
    inference(resolution,[],[f97,f95]) ).

fof(f185,plain,
    ( ~ r1_rlvect_1(sK1,k3_group_1(sK0,sK2))
    | ~ m1_subset_1(k3_group_1(sK0,sK2),u1_struct_0(sK0))
    | ~ m1_group_2(sK1,sK0)
    | v3_struct_0(sK0)
    | ~ v3_group_1(sK0)
    | ~ v4_group_1(sK0)
    | ~ l1_group_1(sK0) ),
    inference(forward_subsumption_resolution,[],[f178,f92]) ).

fof(f186,plain,
    ( ~ r1_rlvect_1(sK1,k3_group_1(sK0,sK2))
    | ~ m1_subset_1(k3_group_1(sK0,sK2),u1_struct_0(sK0))
    | v3_struct_0(sK0)
    | ~ v3_group_1(sK0)
    | ~ v4_group_1(sK0)
    | ~ l1_group_1(sK0) ),
    inference(forward_subsumption_resolution,[],[f185,f91]) ).

fof(f187,plain,
    ( ~ r1_rlvect_1(sK1,k3_group_1(sK0,sK2))
    | ~ m1_subset_1(k3_group_1(sK0,sK2),u1_struct_0(sK0))
    | ~ v3_group_1(sK0)
    | ~ v4_group_1(sK0)
    | ~ l1_group_1(sK0) ),
    inference(forward_subsumption_resolution,[],[f186,f90]) ).

fof(f188,plain,
    ( ~ r1_rlvect_1(sK1,k3_group_1(sK0,sK2))
    | ~ m1_subset_1(k3_group_1(sK0,sK2),u1_struct_0(sK0))
    | ~ v4_group_1(sK0)
    | ~ l1_group_1(sK0) ),
    inference(forward_subsumption_resolution,[],[f187,f89]) ).

fof(f189,plain,
    ( ~ r1_rlvect_1(sK1,k3_group_1(sK0,sK2))
    | ~ m1_subset_1(k3_group_1(sK0,sK2),u1_struct_0(sK0))
    | ~ l1_group_1(sK0) ),
    inference(forward_subsumption_resolution,[],[f188,f88]) ).

fof(f190,plain,
    ( ~ m1_subset_1(k3_group_1(sK0,sK2),u1_struct_0(sK0))
    | ~ r1_rlvect_1(sK1,k3_group_1(sK0,sK2)) ),
    inference(forward_subsumption_resolution,[],[f189,f87]) ).

fof(f191,plain,
    ( ~ r1_rlvect_1(sK1,k3_group_1(sK0,sK2))
    | v3_struct_0(sK0)
    | ~ v3_group_1(sK0)
    | ~ v4_group_1(sK0)
    | ~ l1_group_1(sK0)
    | ~ m1_subset_1(sK2,u1_struct_0(sK0)) ),
    inference(resolution,[],[f190,f98]) ).

fof(f193,plain,
    ( ~ r1_rlvect_1(sK1,k3_group_1(sK0,sK2))
    | ~ v3_group_1(sK0)
    | ~ v4_group_1(sK0)
    | ~ l1_group_1(sK0)
    | ~ m1_subset_1(sK2,u1_struct_0(sK0)) ),
    inference(forward_subsumption_resolution,[],[f191,f90]) ).

fof(f194,plain,
    ( ~ r1_rlvect_1(sK1,k3_group_1(sK0,sK2))
    | ~ v4_group_1(sK0)
    | ~ l1_group_1(sK0)
    | ~ m1_subset_1(sK2,u1_struct_0(sK0)) ),
    inference(forward_subsumption_resolution,[],[f193,f89]) ).

fof(f195,plain,
    ( ~ r1_rlvect_1(sK1,k3_group_1(sK0,sK2))
    | ~ l1_group_1(sK0)
    | ~ m1_subset_1(sK2,u1_struct_0(sK0)) ),
    inference(forward_subsumption_resolution,[],[f194,f88]) ).

fof(f196,plain,
    ( ~ r1_rlvect_1(sK1,k3_group_1(sK0,sK2))
    | ~ m1_subset_1(sK2,u1_struct_0(sK0)) ),
    inference(forward_subsumption_resolution,[],[f195,f87]) ).

fof(f197,plain,
    ~ r1_rlvect_1(sK1,k3_group_1(sK0,sK2)),
    inference(forward_subsumption_resolution,[],[f196,f93]) ).

fof(f198,plain,
    ( ~ r1_rlvect_1(sK1,sK2)
    | ~ m1_group_2(sK1,sK0)
    | ~ m1_subset_1(sK2,u1_struct_0(sK0))
    | v3_struct_0(sK0)
    | ~ v3_group_1(sK0)
    | ~ v4_group_1(sK0)
    | ~ l1_group_1(sK0) ),
    inference(resolution,[],[f197,f111]) ).

fof(f199,plain,
    ( ~ m1_group_2(sK1,sK0)
    | ~ m1_subset_1(sK2,u1_struct_0(sK0))
    | v3_struct_0(sK0)
    | ~ v3_group_1(sK0)
    | ~ v4_group_1(sK0)
    | ~ l1_group_1(sK0) ),
    inference(forward_subsumption_resolution,[],[f198,f177]) ).

fof(f200,plain,
    ( ~ m1_subset_1(sK2,u1_struct_0(sK0))
    | v3_struct_0(sK0)
    | ~ v3_group_1(sK0)
    | ~ v4_group_1(sK0)
    | ~ l1_group_1(sK0) ),
    inference(forward_subsumption_resolution,[],[f199,f91]) ).

fof(f201,plain,
    ( v3_struct_0(sK0)
    | ~ v3_group_1(sK0)
    | ~ v4_group_1(sK0)
    | ~ l1_group_1(sK0) ),
    inference(forward_subsumption_resolution,[],[f200,f93]) ).

fof(f202,plain,
    ( ~ v3_group_1(sK0)
    | ~ v4_group_1(sK0)
    | ~ l1_group_1(sK0) ),
    inference(forward_subsumption_resolution,[],[f201,f90]) ).

fof(f203,plain,
    ( ~ v4_group_1(sK0)
    | ~ l1_group_1(sK0) ),
    inference(forward_subsumption_resolution,[],[f202,f89]) ).

fof(f204,plain,
    ~ l1_group_1(sK0),
    inference(forward_subsumption_resolution,[],[f203,f88]) ).

fof(f205,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f204,f87]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : GRP644+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.37  % Computer : n019.cluster.edu
% 0.13/0.37  % Model    : x86_64 x86_64
% 0.13/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.37  % Memory   : 8046.5625MB
% 0.13/0.37  % OS       : Linux 6.8.0-71-generic
% 0.13/0.37  % CPULimit : 300
% 0.13/0.37  % WCLimit  : 300
% 0.13/0.37  % DateTime : Sun Sep 27 10:25:04 UTC 2026
% 0.13/0.38  % CPUTime  : 
% 0.13/0.38  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.41  Running first-order theorem proving
% 0.13/0.41  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
% 1.72/1.11  % (2878699)Detected formulas, will run a generic FOF schedule.
% 1.72/1.11  % (2878708)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1565700245:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 1.72/1.11  % (2878708)First to succeed.
% 1.72/1.11  % (2878708)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2878699"
% 1.72/1.11  % (2878705)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=3246278715:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 1.72/1.11  % (2878709)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1658943545:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 1.72/1.11  % (2878704)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=2560008619:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 1.72/1.11  % (2878706)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=166579235:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 1.72/1.11  % (2878710)dis-21_1_sil=8000:lcm=predicate:random_seed=701172089: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)
% 1.72/1.11  % (2878707)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1502694009:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 1.72/1.11  % (2878707)Refutation not found, incomplete strategy
% 1.72/1.11  % (2878707)------------------------------
% 1.72/1.11  % (2878707)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.72/1.11  % (2878707)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.72/1.11  % (2878707)CaDiCaL version: 2.1.3
% 1.72/1.11  % (2878707)Termination reason: Refutation not found, incomplete strategy
% 1.72/1.11  % (2878707)Time elapsed: 0.003 s
% 1.72/1.11  % (2878707)Peak memory usage: 88 MB
% 1.72/1.11  % (2878707)Instructions burned: 2 (million)
% 1.72/1.11  % (2878710)Instruction limit reached! 
% 1.72/1.11  % (2878710)------------------------------
% 1.72/1.11  % (2878710)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.72/1.11  % (2878710)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.72/1.11  % (2878710)CaDiCaL version: 2.1.3
% 1.72/1.11  % (2878710)Termination reason: Instruction limit
% 1.72/1.11  % (2878710)Termination phase: Saturation
% 1.72/1.11  % (2878710)Time elapsed: 0.071 s
% 1.72/1.11  % (2878710)Peak memory usage: 91 MB
% 1.72/1.11  % (2878710)Instructions burned: 131 (million)
% 1.72/1.11  % (2878709)Also succeeded, but the first one will report.
% 1.72/1.11  % (2878708)Refutation found. Thanks to Tanya!
% 1.72/1.11  % SZS status Theorem for theBenchmark
% 1.72/1.11  % SZS output start Proof for theBenchmark
% See solution above
% 0.16/1.30  % (2878708)------------------------------
% 0.16/1.30  % (2878708)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.16/1.30  % (2878708)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/1.30  % (2878708)CaDiCaL version: 2.1.3
% 0.16/1.30  % (2878708)Termination reason: Refutation
% 0.16/1.30  % (2878708)Time elapsed: 0.002 s
% 0.16/1.30  % (2878708)Peak memory usage: 88 MB
% 0.16/1.30  % (2878708)Instructions burned: 5 (million)
% 0.16/1.30  % (2878708)------------------------------
% 0.16/1.30  % (2878708)------------------------------
% 0.16/1.30  % (2878699)Success in time 0.263 s
% 0.16/1.30  % Vampire exiting
%------------------------------------------------------------------------------