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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : LAT359+3 : 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 : n017.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 11:47:19 AM UTC 2026

% Result   : Theorem 62.68s 11.19s
% Output   : Refutation 62.89s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   25
%            Number of leaves      :   20
% Syntax   : Number of formulae    :  133 (  26 unt;   7 def)
%            Number of atoms       :  420 (  91 equ)
%            Maximal formula atoms :   12 (   3 avg)
%            Number of connectives :  493 ( 206   ~; 212   |;  39   &)
%                                         (  18 <=>;  18  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   5 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   17 (  15 usr;   8 prp; 0-2 aty)
%            Number of functors    :   16 (  16 usr;   5 con; 0-3 aty)
%            Number of variables   :  202 (   0 sgn 192   !;  10   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f13,axiom,
    ! [X0,X1] : k4_tarski(X0,X1) = k2_tarski(k2_tarski(X0,X1),k1_tarski(X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d5_tarski) ).

fof(f29,axiom,
    ! [X0] :
      ( X0 = k1_xboole_0
    <=> ! [X1] : ~ r2_hidden(X1,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_xboole_0) ).

fof(f258,axiom,
    ! [X0] : k2_tarski(X0,X0) = k1_tarski(X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t69_enumset1) ).

fof(f431,axiom,
    ! [X0,X1,X2,X3] :
      ( r2_hidden(k4_tarski(X0,X1),k2_zfmisc_1(X2,X3))
    <=> ( r2_hidden(X0,X2)
        & r2_hidden(X1,X3) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t106_zfmisc_1) ).

fof(f675,axiom,
    ! [X0,X1] :
      ( r2_hidden(X0,X1)
     => m1_subset_1(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_subset) ).

fof(f932,axiom,
    ! [X0] :
      ( ( v1_relat_1(X0)
        & v1_funct_1(X0) )
     => ! [X1,X2] :
          ( ( r2_hidden(X1,k1_relat_1(X0))
           => ( X2 = k1_funct_1(X0,X1)
            <=> r2_hidden(k4_tarski(X1,X2),X0) ) )
          & ( ~ r2_hidden(X1,k1_relat_1(X0))
           => ( X2 = k1_funct_1(X0,X1)
            <=> X2 = k1_xboole_0 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_funct_1) ).

fof(f2295,axiom,
    ! [X0] :
      ( ( v1_relat_1(X0)
        & v1_funct_1(X0) )
     => ! [X1,X2] : k1_binop_1(X0,X1,X2) = k1_funct_1(X0,k4_tarski(X1,X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_binop_1) ).

fof(f5209,axiom,
    ! [X0,X1] :
      ( ( v1_relat_1(X1)
        & v1_funct_1(X1) )
     => ( m1_pboole(X1,X0)
      <=> k1_relat_1(X1) = X0 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_pboole) ).

fof(f5388,axiom,
    ! [X0,X1] :
      ( m1_pboole(X1,X0)
     => ( v1_relat_1(X1)
        & v1_funct_1(X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m1_pboole) ).

fof(f13856,axiom,
    ! [X0] :
      ( l1_altcat_1(X0)
     => ! [X1] :
          ( m1_subset_1(X1,u1_struct_0(X0))
         => ! [X2] :
              ( m1_subset_1(X2,u1_struct_0(X0))
             => k1_altcat_1(X0,X1,X2) = k1_binop_1(u1_altcat_1(X0),X1,X2) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_altcat_1) ).

fof(f13900,axiom,
    ! [X0] :
      ( l2_altcat_1(X0)
     => l1_altcat_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l2_altcat_1) ).

fof(f13914,axiom,
    ! [X0] :
      ( l1_altcat_1(X0)
     => m1_pboole(u1_altcat_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_u1_altcat_1) ).

fof(f18925,conjecture,
    ! [X0] :
      ( ( ~ v3_struct_0(X0)
        & l2_altcat_1(X0) )
     => ! [X1,X2,X3] :
          ~ ( r2_hidden(X3,k1_binop_1(u1_altcat_1(X0),X1,X2))
            & ! [X4] :
                ( m1_subset_1(X4,u1_struct_0(X0))
               => ! [X5] :
                    ( m1_subset_1(X5,u1_struct_0(X0))
                   => ~ ( X4 = X1
                        & X5 = X2
                        & r2_hidden(X3,k1_altcat_1(X0,X4,X5))
                        & m1_subset_1(X3,k1_altcat_1(X0,X4,X5)) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t12_waybel34) ).

fof(f18926,negated_conjecture,
    ~ ! [X0] :
        ( ( ~ v3_struct_0(X0)
          & l2_altcat_1(X0) )
       => ! [X1,X2,X3] :
            ~ ( r2_hidden(X3,k1_binop_1(u1_altcat_1(X0),X1,X2))
              & ! [X4] :
                  ( m1_subset_1(X4,u1_struct_0(X0))
                 => ! [X5] :
                      ( m1_subset_1(X5,u1_struct_0(X0))
                     => ~ ( X4 = X1
                          & X5 = X2
                          & r2_hidden(X3,k1_altcat_1(X0,X4,X5))
                          & m1_subset_1(X3,k1_altcat_1(X0,X4,X5)) ) ) ) ) ),
    inference(negated_conjecture,[status(cth)],[f18925]) ).

fof(f19086,plain,
    ? [X0] :
      ( ? [X1,X2,X3] :
          ( r2_hidden(X3,k1_binop_1(u1_altcat_1(X0),X1,X2))
          & ! [X4] :
              ( ! [X5] :
                  ( X1 != X4
                  | X2 != X5
                  | ~ r2_hidden(X3,k1_altcat_1(X0,X4,X5))
                  | ~ m1_subset_1(X3,k1_altcat_1(X0,X4,X5))
                  | ~ m1_subset_1(X5,u1_struct_0(X0)) )
              | ~ m1_subset_1(X4,u1_struct_0(X0)) ) )
      & ~ v3_struct_0(X0)
      & l2_altcat_1(X0) ),
    inference(ennf_transformation,[],[f18926]) ).

fof(f19087,plain,
    ? [X0] :
      ( ? [X1,X2,X3] :
          ( r2_hidden(X3,k1_binop_1(u1_altcat_1(X0),X1,X2))
          & ! [X4] :
              ( ! [X5] :
                  ( X1 != X4
                  | X2 != X5
                  | ~ r2_hidden(X3,k1_altcat_1(X0,X4,X5))
                  | ~ m1_subset_1(X3,k1_altcat_1(X0,X4,X5))
                  | ~ m1_subset_1(X5,u1_struct_0(X0)) )
              | ~ m1_subset_1(X4,u1_struct_0(X0)) ) )
      & ~ v3_struct_0(X0)
      & l2_altcat_1(X0) ),
    inference(flattening,[],[f19086]) ).

fof(f19105,plain,
    ! [X0,X1] :
      ( m1_subset_1(X0,X1)
      | ~ r2_hidden(X0,X1) ),
    inference(ennf_transformation,[],[f675]) ).

fof(f19121,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( k1_altcat_1(X0,X1,X2) = k1_binop_1(u1_altcat_1(X0),X1,X2)
              | ~ m1_subset_1(X2,u1_struct_0(X0)) )
          | ~ m1_subset_1(X1,u1_struct_0(X0)) )
      | ~ l1_altcat_1(X0) ),
    inference(ennf_transformation,[],[f13856]) ).

fof(f19132,plain,
    ! [X0] :
      ( ! [X1,X2] : k1_binop_1(X0,X1,X2) = k1_funct_1(X0,k4_tarski(X1,X2))
      | ~ v1_relat_1(X0)
      | ~ v1_funct_1(X0) ),
    inference(ennf_transformation,[],[f2295]) ).

fof(f19133,plain,
    ! [X0] :
      ( ! [X1,X2] : k1_binop_1(X0,X1,X2) = k1_funct_1(X0,k4_tarski(X1,X2))
      | ~ v1_relat_1(X0)
      | ~ v1_funct_1(X0) ),
    inference(flattening,[],[f19132]) ).

fof(f19154,plain,
    ! [X0] :
      ( m1_pboole(u1_altcat_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)))
      | ~ l1_altcat_1(X0) ),
    inference(ennf_transformation,[],[f13914]) ).

fof(f19251,plain,
    ! [X0] :
      ( ! [X1,X2] :
          ( ( ( X2 = k1_funct_1(X0,X1)
            <=> r2_hidden(k4_tarski(X1,X2),X0) )
            | ~ r2_hidden(X1,k1_relat_1(X0)) )
          & ( ( X2 = k1_funct_1(X0,X1)
            <=> X2 = k1_xboole_0 )
            | r2_hidden(X1,k1_relat_1(X0)) ) )
      | ~ v1_relat_1(X0)
      | ~ v1_funct_1(X0) ),
    inference(ennf_transformation,[],[f932]) ).

fof(f19252,plain,
    ! [X0] :
      ( ! [X1,X2] :
          ( ( ( X2 = k1_funct_1(X0,X1)
            <=> r2_hidden(k4_tarski(X1,X2),X0) )
            | ~ r2_hidden(X1,k1_relat_1(X0)) )
          & ( ( X2 = k1_funct_1(X0,X1)
            <=> X2 = k1_xboole_0 )
            | r2_hidden(X1,k1_relat_1(X0)) ) )
      | ~ v1_relat_1(X0)
      | ~ v1_funct_1(X0) ),
    inference(flattening,[],[f19251]) ).

fof(f19266,plain,
    ! [X0,X1] :
      ( ( v1_relat_1(X1)
        & v1_funct_1(X1) )
      | ~ m1_pboole(X1,X0) ),
    inference(ennf_transformation,[],[f5388]) ).

fof(f19267,plain,
    ! [X0,X1] :
      ( ( m1_pboole(X1,X0)
      <=> k1_relat_1(X1) = X0 )
      | ~ v1_relat_1(X1)
      | ~ v1_funct_1(X1) ),
    inference(ennf_transformation,[],[f5209]) ).

fof(f19268,plain,
    ! [X0,X1] :
      ( ( m1_pboole(X1,X0)
      <=> k1_relat_1(X1) = X0 )
      | ~ v1_relat_1(X1)
      | ~ v1_funct_1(X1) ),
    inference(flattening,[],[f19267]) ).

fof(f19323,plain,
    ! [X0] :
      ( l1_altcat_1(X0)
      | ~ l2_altcat_1(X0) ),
    inference(ennf_transformation,[],[f13900]) ).

fof(f22279,plain,
    ( r2_hidden(sK91,k1_binop_1(u1_altcat_1(sK88),sK89,sK90))
    & ! [X4] :
        ( ! [X5] :
            ( sK89 != X4
            | sK90 != X5
            | ~ r2_hidden(sK91,k1_altcat_1(sK88,X4,X5))
            | ~ m1_subset_1(sK91,k1_altcat_1(sK88,X4,X5))
            | ~ m1_subset_1(X5,u1_struct_0(sK88)) )
        | ~ m1_subset_1(X4,u1_struct_0(sK88)) )
    & ~ v3_struct_0(sK88)
    & l2_altcat_1(sK88) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK88,sK89,sK90,sK91]),skolemize(X0,sK88),skolemize(X1,sK89),skolemize(X2,sK90),skolemize(X3,sK91)],[f19087]) ).

fof(f22296,plain,
    ! [X0] :
      ( ( X0 = k1_xboole_0
        | ? [X1] : r2_hidden(X1,X0) )
      & ( ! [X1] : ~ r2_hidden(X1,X0)
        | k1_xboole_0 != X0 ) ),
    inference(nnf_transformation,[],[f29]) ).

fof(f22297,plain,
    ! [X0] :
      ( ( X0 = k1_xboole_0
        | ? [X1] : r2_hidden(X1,X0) )
      & ( ! [X2] : ~ r2_hidden(X2,X0)
        | k1_xboole_0 != X0 ) ),
    inference(rectify,[],[f22296]) ).

fof(f22298,plain,
    ! [X0] :
      ( ( X0 = k1_xboole_0
        | r2_hidden(sK100(X0),X0) )
      & ( ! [X2] : ~ r2_hidden(X2,X0)
        | k1_xboole_0 != X0 ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK100]),skolemize(X1,sK100(X0))],[f22297]) ).

fof(f22341,plain,
    ! [X0] :
      ( ! [X1,X2] :
          ( ( ( ( X2 = k1_funct_1(X0,X1)
                | ~ r2_hidden(k4_tarski(X1,X2),X0) )
              & ( r2_hidden(k4_tarski(X1,X2),X0)
                | k1_funct_1(X0,X1) != X2 ) )
            | ~ r2_hidden(X1,k1_relat_1(X0)) )
          & ( ( ( X2 = k1_funct_1(X0,X1)
                | k1_xboole_0 != X2 )
              & ( X2 = k1_xboole_0
                | k1_funct_1(X0,X1) != X2 ) )
            | r2_hidden(X1,k1_relat_1(X0)) ) )
      | ~ v1_relat_1(X0)
      | ~ v1_funct_1(X0) ),
    inference(nnf_transformation,[],[f19252]) ).

fof(f22349,plain,
    ! [X0,X1] :
      ( ( ( m1_pboole(X1,X0)
          | k1_relat_1(X1) != X0 )
        & ( k1_relat_1(X1) = X0
          | ~ m1_pboole(X1,X0) ) )
      | ~ v1_relat_1(X1)
      | ~ v1_funct_1(X1) ),
    inference(nnf_transformation,[],[f19268]) ).

fof(f22397,plain,
    ! [X0,X1,X2,X3] :
      ( ( r2_hidden(k4_tarski(X0,X1),k2_zfmisc_1(X2,X3))
        | ~ r2_hidden(X0,X2)
        | ~ r2_hidden(X1,X3) )
      & ( ( r2_hidden(X0,X2)
          & r2_hidden(X1,X3) )
        | ~ r2_hidden(k4_tarski(X0,X1),k2_zfmisc_1(X2,X3)) ) ),
    inference(nnf_transformation,[],[f431]) ).

fof(f22398,plain,
    ! [X0,X1,X2,X3] :
      ( ( r2_hidden(k4_tarski(X0,X1),k2_zfmisc_1(X2,X3))
        | ~ r2_hidden(X0,X2)
        | ~ r2_hidden(X1,X3) )
      & ( ( r2_hidden(X0,X2)
          & r2_hidden(X1,X3) )
        | ~ r2_hidden(k4_tarski(X0,X1),k2_zfmisc_1(X2,X3)) ) ),
    inference(flattening,[],[f22397]) ).

fof(f23369,plain,
    l2_altcat_1(sK88),
    inference(cnf_transformation,[],[f22279]) ).

fof(f23371,plain,
    ! [X4,X5] :
      ( sK89 != X4
      | sK90 != X5
      | ~ r2_hidden(sK91,k1_altcat_1(sK88,X4,X5))
      | ~ m1_subset_1(sK91,k1_altcat_1(sK88,X4,X5))
      | ~ m1_subset_1(X5,u1_struct_0(sK88))
      | ~ m1_subset_1(X4,u1_struct_0(sK88)) ),
    inference(cnf_transformation,[],[f22279]) ).

fof(f23372,plain,
    r2_hidden(sK91,k1_binop_1(u1_altcat_1(sK88),sK89,sK90)),
    inference(cnf_transformation,[],[f22279]) ).

fof(f23391,plain,
    ! [X0,X1] :
      ( ~ r2_hidden(X0,X1)
      | m1_subset_1(X0,X1) ),
    inference(cnf_transformation,[],[f19105]) ).

fof(f23408,plain,
    ! [X2,X0] :
      ( ~ r2_hidden(X2,X0)
      | k1_xboole_0 != X0 ),
    inference(cnf_transformation,[],[f22298]) ).

fof(f23426,plain,
    ! [X2,X0,X1] :
      ( ~ m1_subset_1(X2,u1_struct_0(X0))
      | k1_altcat_1(X0,X1,X2) = k1_binop_1(u1_altcat_1(X0),X1,X2)
      | ~ m1_subset_1(X1,u1_struct_0(X0))
      | ~ l1_altcat_1(X0) ),
    inference(cnf_transformation,[],[f19121]) ).

fof(f23443,plain,
    ! [X2,X0,X1] :
      ( k1_funct_1(X0,k4_tarski(X1,X2)) = k1_binop_1(X0,X1,X2)
      | ~ v1_relat_1(X0)
      | ~ v1_funct_1(X0) ),
    inference(cnf_transformation,[],[f19133]) ).

fof(f23464,plain,
    ! [X0] :
      ( m1_pboole(u1_altcat_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)))
      | ~ l1_altcat_1(X0) ),
    inference(cnf_transformation,[],[f19154]) ).

fof(f23604,plain,
    ! [X2,X0,X1] :
      ( k1_xboole_0 = X2
      | k1_funct_1(X0,X1) != X2
      | r2_hidden(X1,k1_relat_1(X0))
      | ~ v1_relat_1(X0)
      | ~ v1_funct_1(X0) ),
    inference(cnf_transformation,[],[f22341]) ).

fof(f23631,plain,
    ! [X0,X1] :
      ( ~ m1_pboole(X1,X0)
      | v1_funct_1(X1) ),
    inference(cnf_transformation,[],[f19266]) ).

fof(f23632,plain,
    ! [X0,X1] :
      ( ~ m1_pboole(X1,X0)
      | v1_relat_1(X1) ),
    inference(cnf_transformation,[],[f19266]) ).

fof(f23633,plain,
    ! [X0,X1] :
      ( ~ m1_pboole(X1,X0)
      | k1_relat_1(X1) = X0
      | ~ v1_relat_1(X1)
      | ~ v1_funct_1(X1) ),
    inference(cnf_transformation,[],[f22349]) ).

fof(f23744,plain,
    ! [X0] :
      ( ~ l2_altcat_1(X0)
      | l1_altcat_1(X0) ),
    inference(cnf_transformation,[],[f19323]) ).

fof(f23848,plain,
    ! [X2,X3,X0,X1] :
      ( r2_hidden(X1,X3)
      | ~ r2_hidden(k4_tarski(X0,X1),k2_zfmisc_1(X2,X3)) ),
    inference(cnf_transformation,[],[f22398]) ).

fof(f23849,plain,
    ! [X2,X3,X0,X1] :
      ( r2_hidden(X0,X2)
      | ~ r2_hidden(k4_tarski(X0,X1),k2_zfmisc_1(X2,X3)) ),
    inference(cnf_transformation,[],[f22398]) ).

fof(f24220,plain,
    ! [X0,X1] : k4_tarski(X0,X1) = k2_tarski(k2_tarski(X0,X1),k1_tarski(X0)),
    inference(cnf_transformation,[],[f13]) ).

fof(f24733,plain,
    ! [X0] : k1_tarski(X0) = k2_tarski(X0,X0),
    inference(cnf_transformation,[],[f258]) ).

fof(f27975,plain,
    ! [X0,X1] : k4_tarski(X0,X1) = k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)),
    inference(definition_unfolding,[],[f24220,f24733]) ).

fof(f27983,plain,
    ! [X2,X0,X1] :
      ( ~ v1_funct_1(X0)
      | ~ v1_relat_1(X0)
      | k1_binop_1(X0,X1,X2) = k1_funct_1(X0,k2_tarski(k2_tarski(X1,X2),k2_tarski(X1,X1))) ),
    inference(definition_unfolding,[],[f23443,f27975]) ).

fof(f28039,plain,
    ! [X2,X3,X0,X1] :
      ( ~ r2_hidden(k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)),k2_zfmisc_1(X2,X3))
      | r2_hidden(X0,X2) ),
    inference(definition_unfolding,[],[f23849,f27975]) ).

fof(f28040,plain,
    ! [X2,X3,X0,X1] :
      ( ~ r2_hidden(k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)),k2_zfmisc_1(X2,X3))
      | r2_hidden(X1,X3) ),
    inference(definition_unfolding,[],[f23848,f27975]) ).

fof(f28769,plain,
    ! [X5] :
      ( sK90 != X5
      | ~ r2_hidden(sK91,k1_altcat_1(sK88,sK89,X5))
      | ~ m1_subset_1(sK91,k1_altcat_1(sK88,sK89,X5))
      | ~ m1_subset_1(X5,u1_struct_0(sK88))
      | ~ m1_subset_1(sK89,u1_struct_0(sK88)) ),
    inference(equality_resolution,[],[f23371]) ).

fof(f28770,plain,
    ( ~ r2_hidden(sK91,k1_altcat_1(sK88,sK89,sK90))
    | ~ m1_subset_1(sK91,k1_altcat_1(sK88,sK89,sK90))
    | ~ m1_subset_1(sK90,u1_struct_0(sK88))
    | ~ m1_subset_1(sK89,u1_struct_0(sK88)) ),
    inference(equality_resolution,[],[f28769]) ).

fof(f28773,plain,
    ! [X2] : ~ r2_hidden(X2,k1_xboole_0),
    inference(equality_resolution,[],[f23408]) ).

fof(f28795,plain,
    ! [X0,X1] :
      ( r2_hidden(X1,k1_relat_1(X0))
      | k1_xboole_0 = k1_funct_1(X0,X1)
      | ~ v1_relat_1(X0)
      | ~ v1_funct_1(X0) ),
    inference(equality_resolution,[],[f23604]) ).

fof(f29431,plain,
    ( ~ r2_hidden(sK91,k1_altcat_1(sK88,sK89,sK90))
    | ~ m1_subset_1(sK90,u1_struct_0(sK88))
    | ~ m1_subset_1(sK89,u1_struct_0(sK88)) ),
    inference(forward_subsumption_resolution,[],[f28770,f23391]) ).

fof(f29522,definition,
    ( spl839_11
  <=> m1_subset_1(sK89,u1_struct_0(sK88)) ),
    introduced(definition,[new_symbols(definition,[spl839_11])],[avatar_definition]) ).

fof(f29524,plain,
    ( ~ m1_subset_1(sK89,u1_struct_0(sK88))
    | spl839_11 ),
    inference(avatar_component_clause,[],[f29522]) ).

fof(f29526,definition,
    ( spl839_12
  <=> m1_subset_1(sK90,u1_struct_0(sK88)) ),
    introduced(definition,[new_symbols(definition,[spl839_12])],[avatar_definition]) ).

fof(f29528,plain,
    ( ~ m1_subset_1(sK90,u1_struct_0(sK88))
    | spl839_12 ),
    inference(avatar_component_clause,[],[f29526]) ).

fof(f29530,definition,
    ( spl839_13
  <=> r2_hidden(sK91,k1_altcat_1(sK88,sK89,sK90)) ),
    introduced(definition,[new_symbols(definition,[spl839_13])],[avatar_definition]) ).

fof(f29532,plain,
    ( ~ r2_hidden(sK91,k1_altcat_1(sK88,sK89,sK90))
    | spl839_13 ),
    inference(avatar_component_clause,[],[f29530]) ).

fof(f29533,plain,
    ( ~ spl839_11
    | ~ spl839_12
    | ~ spl839_13 ),
    inference(avatar_split_clause,[],[f29431,f29530,f29526,f29522]) ).

fof(f29604,plain,
    l1_altcat_1(sK88),
    inference(resolution,[],[f23744,f23369]) ).

fof(f29823,plain,
    ! [X0] :
      ( v1_relat_1(u1_altcat_1(X0))
      | ~ l1_altcat_1(X0) ),
    inference(resolution,[],[f23632,f23464]) ).

fof(f30208,plain,
    ! [X0] :
      ( v1_funct_1(u1_altcat_1(X0))
      | ~ l1_altcat_1(X0) ),
    inference(resolution,[],[f23631,f23464]) ).

fof(f31452,definition,
    ( spl839_34
  <=> v1_funct_1(u1_altcat_1(sK88)) ),
    introduced(definition,[new_symbols(definition,[spl839_34])],[avatar_definition]) ).

fof(f31453,plain,
    ( v1_funct_1(u1_altcat_1(sK88))
    | ~ spl839_34 ),
    inference(avatar_component_clause,[],[f31452]) ).

fof(f31456,definition,
    ( spl839_35
  <=> v1_relat_1(u1_altcat_1(sK88)) ),
    introduced(definition,[new_symbols(definition,[spl839_35])],[avatar_definition]) ).

fof(f31457,plain,
    ( v1_relat_1(u1_altcat_1(sK88))
    | ~ spl839_35 ),
    inference(avatar_component_clause,[],[f31456]) ).

fof(f31697,plain,
    ! [X0] :
      ( k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)) = k1_relat_1(u1_altcat_1(X0))
      | ~ v1_relat_1(u1_altcat_1(X0))
      | ~ v1_funct_1(u1_altcat_1(X0))
      | ~ l1_altcat_1(X0) ),
    inference(resolution,[],[f23633,f23464]) ).

fof(f31698,plain,
    ! [X0] :
      ( k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)) = k1_relat_1(u1_altcat_1(X0))
      | ~ v1_funct_1(u1_altcat_1(X0))
      | ~ l1_altcat_1(X0) ),
    inference(forward_subsumption_resolution,[],[f31697,f29823]) ).

fof(f31699,plain,
    ! [X0] :
      ( ~ l1_altcat_1(X0)
      | k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)) = k1_relat_1(u1_altcat_1(X0)) ),
    inference(forward_subsumption_resolution,[],[f31698,f30208]) ).

fof(f31700,plain,
    k2_zfmisc_1(u1_struct_0(sK88),u1_struct_0(sK88)) = k1_relat_1(u1_altcat_1(sK88)),
    inference(resolution,[],[f31699,f29604]) ).

fof(f31701,plain,
    ( m1_pboole(u1_altcat_1(sK88),k1_relat_1(u1_altcat_1(sK88)))
    | ~ l1_altcat_1(sK88) ),
    inference(superposition,[],[f23464,f31700]) ).

fof(f31718,plain,
    ! [X0,X1] :
      ( ~ r2_hidden(k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)),k1_relat_1(u1_altcat_1(sK88)))
      | r2_hidden(X0,u1_struct_0(sK88)) ),
    inference(superposition,[],[f28039,f31700]) ).

fof(f31719,plain,
    ! [X0,X1] :
      ( ~ r2_hidden(k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)),k1_relat_1(u1_altcat_1(sK88)))
      | r2_hidden(X1,u1_struct_0(sK88)) ),
    inference(superposition,[],[f28040,f31700]) ).

fof(f31780,plain,
    m1_pboole(u1_altcat_1(sK88),k1_relat_1(u1_altcat_1(sK88))),
    inference(forward_subsumption_resolution,[],[f31701,f29604]) ).

fof(f31789,plain,
    v1_funct_1(u1_altcat_1(sK88)),
    inference(resolution,[],[f31780,f23631]) ).

fof(f31790,plain,
    v1_relat_1(u1_altcat_1(sK88)),
    inference(resolution,[],[f31780,f23632]) ).

fof(f31791,plain,
    spl839_35,
    inference(avatar_split_clause,[],[f31790,f31456]) ).

fof(f31792,plain,
    spl839_34,
    inference(avatar_split_clause,[],[f31789,f31452]) ).

fof(f31799,plain,
    ( ! [X0,X1] :
        ( ~ v1_relat_1(u1_altcat_1(sK88))
        | k1_binop_1(u1_altcat_1(sK88),X0,X1) = k1_funct_1(u1_altcat_1(sK88),k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0))) )
    | ~ spl839_34 ),
    inference(resolution,[],[f31453,f27983]) ).

fof(f31800,plain,
    ( ! [X0,X1] : k1_binop_1(u1_altcat_1(sK88),X0,X1) = k1_funct_1(u1_altcat_1(sK88),k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)))
    | ~ spl839_34
    | ~ spl839_35 ),
    inference(forward_subsumption_resolution,[],[f31799,f31457]) ).

fof(f32775,plain,
    ! [X0,X1] :
      ( r2_hidden(X0,u1_struct_0(sK88))
      | k1_xboole_0 = k1_funct_1(u1_altcat_1(sK88),k2_tarski(k2_tarski(X1,X0),k2_tarski(X1,X1)))
      | ~ v1_relat_1(u1_altcat_1(sK88))
      | ~ v1_funct_1(u1_altcat_1(sK88)) ),
    inference(resolution,[],[f31719,f28795]) ).

fof(f32784,plain,
    ( ! [X0,X1] :
        ( r2_hidden(X0,u1_struct_0(sK88))
        | k1_xboole_0 = k1_funct_1(u1_altcat_1(sK88),k2_tarski(k2_tarski(X1,X0),k2_tarski(X1,X1)))
        | ~ v1_funct_1(u1_altcat_1(sK88)) )
    | ~ spl839_35 ),
    inference(forward_subsumption_resolution,[],[f32775,f31457]) ).

fof(f32785,plain,
    ( ! [X0,X1] :
        ( r2_hidden(X0,u1_struct_0(sK88))
        | k1_xboole_0 = k1_funct_1(u1_altcat_1(sK88),k2_tarski(k2_tarski(X1,X0),k2_tarski(X1,X1))) )
    | ~ spl839_34
    | ~ spl839_35 ),
    inference(forward_subsumption_resolution,[],[f32784,f31453]) ).

fof(f32786,plain,
    ( ! [X0,X1] :
        ( r2_hidden(X0,u1_struct_0(sK88))
        | k1_xboole_0 = k1_binop_1(u1_altcat_1(sK88),X1,X0) )
    | ~ spl839_34
    | ~ spl839_35 ),
    inference(forward_demodulation,[],[f32785,f31800]) ).

fof(f32793,plain,
    ( ! [X0,X1] :
        ( m1_subset_1(X1,u1_struct_0(sK88))
        | k1_xboole_0 = k1_binop_1(u1_altcat_1(sK88),X0,X1) )
    | ~ spl839_34
    | ~ spl839_35 ),
    inference(resolution,[],[f32786,f23391]) ).

fof(f32987,plain,
    ( ! [X2,X0,X1] :
        ( k1_xboole_0 = k1_binop_1(u1_altcat_1(sK88),X0,X1)
        | k1_altcat_1(sK88,X2,X1) = k1_binop_1(u1_altcat_1(sK88),X2,X1)
        | ~ m1_subset_1(X2,u1_struct_0(sK88))
        | ~ l1_altcat_1(sK88) )
    | ~ spl839_34
    | ~ spl839_35 ),
    inference(resolution,[],[f32793,f23426]) ).

fof(f33012,plain,
    ( ! [X2,X0,X1] :
        ( ~ m1_subset_1(X2,u1_struct_0(sK88))
        | k1_altcat_1(sK88,X2,X1) = k1_binop_1(u1_altcat_1(sK88),X2,X1)
        | k1_xboole_0 = k1_binop_1(u1_altcat_1(sK88),X0,X1) )
    | ~ spl839_34
    | ~ spl839_35 ),
    inference(forward_subsumption_resolution,[],[f32987,f29604]) ).

fof(f33948,plain,
    ! [X0,X1] :
      ( r2_hidden(X0,u1_struct_0(sK88))
      | k1_xboole_0 = k1_funct_1(u1_altcat_1(sK88),k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)))
      | ~ v1_relat_1(u1_altcat_1(sK88))
      | ~ v1_funct_1(u1_altcat_1(sK88)) ),
    inference(resolution,[],[f31718,f28795]) ).

fof(f33957,plain,
    ( ! [X0,X1] :
        ( r2_hidden(X0,u1_struct_0(sK88))
        | k1_xboole_0 = k1_funct_1(u1_altcat_1(sK88),k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)))
        | ~ v1_funct_1(u1_altcat_1(sK88)) )
    | ~ spl839_35 ),
    inference(forward_subsumption_resolution,[],[f33948,f31457]) ).

fof(f33958,plain,
    ( ! [X0,X1] :
        ( r2_hidden(X0,u1_struct_0(sK88))
        | k1_xboole_0 = k1_funct_1(u1_altcat_1(sK88),k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0))) )
    | ~ spl839_34
    | ~ spl839_35 ),
    inference(forward_subsumption_resolution,[],[f33957,f31453]) ).

fof(f33959,plain,
    ( ! [X0,X1] :
        ( r2_hidden(X0,u1_struct_0(sK88))
        | k1_xboole_0 = k1_binop_1(u1_altcat_1(sK88),X0,X1) )
    | ~ spl839_34
    | ~ spl839_35 ),
    inference(forward_demodulation,[],[f33958,f31800]) ).

fof(f33966,plain,
    ( ! [X0,X1] :
        ( m1_subset_1(X0,u1_struct_0(sK88))
        | k1_xboole_0 = k1_binop_1(u1_altcat_1(sK88),X0,X1) )
    | ~ spl839_34
    | ~ spl839_35 ),
    inference(resolution,[],[f33959,f23391]) ).

fof(f34096,plain,
    ( ! [X2,X3,X0,X1] :
        ( k1_xboole_0 = k1_binop_1(u1_altcat_1(sK88),X0,X1)
        | k1_altcat_1(sK88,X0,X2) = k1_binop_1(u1_altcat_1(sK88),X0,X2)
        | k1_xboole_0 = k1_binop_1(u1_altcat_1(sK88),X3,X2) )
    | ~ spl839_34
    | ~ spl839_35 ),
    inference(resolution,[],[f33966,f33012]) ).

fof(f34767,plain,
    ( ! [X0,X1] :
        ( r2_hidden(sK91,k1_altcat_1(sK88,sK89,sK90))
        | k1_xboole_0 = k1_binop_1(u1_altcat_1(sK88),sK89,X0)
        | k1_xboole_0 = k1_binop_1(u1_altcat_1(sK88),X1,sK90) )
    | ~ spl839_34
    | ~ spl839_35 ),
    inference(superposition,[],[f23372,f34096]) ).

fof(f35036,definition,
    ( spl839_150
  <=> ! [X1] : k1_xboole_0 = k1_binop_1(u1_altcat_1(sK88),X1,sK90) ),
    introduced(definition,[new_symbols(definition,[spl839_150])],[avatar_definition]) ).

fof(f35037,plain,
    ( ! [X1] : k1_xboole_0 = k1_binop_1(u1_altcat_1(sK88),X1,sK90)
    | ~ spl839_150 ),
    inference(avatar_component_clause,[],[f35036]) ).

fof(f35039,definition,
    ( spl839_151
  <=> ! [X0] : k1_xboole_0 = k1_binop_1(u1_altcat_1(sK88),sK89,X0) ),
    introduced(definition,[new_symbols(definition,[spl839_151])],[avatar_definition]) ).

fof(f35040,plain,
    ( ! [X0] : k1_xboole_0 = k1_binop_1(u1_altcat_1(sK88),sK89,X0)
    | ~ spl839_151 ),
    inference(avatar_component_clause,[],[f35039]) ).

fof(f35275,plain,
    ( ! [X0,X1] :
        ( k1_xboole_0 = k1_binop_1(u1_altcat_1(sK88),sK89,X0)
        | k1_xboole_0 = k1_binop_1(u1_altcat_1(sK88),X1,sK90) )
    | spl839_13
    | ~ spl839_34
    | ~ spl839_35 ),
    inference(forward_subsumption_resolution,[],[f34767,f29532]) ).

fof(f35395,plain,
    ( spl839_150
    | spl839_151
    | spl839_13
    | ~ spl839_34
    | ~ spl839_35 ),
    inference(avatar_split_clause,[],[f35275,f31456,f31452,f29530,f35039,f35036]) ).

fof(f35507,plain,
    ( r2_hidden(sK91,k1_xboole_0)
    | ~ spl839_150 ),
    inference(superposition,[],[f23372,f35037]) ).

fof(f35639,plain,
    ( $false
    | ~ spl839_150 ),
    inference(forward_subsumption_resolution,[],[f35507,f28773]) ).

fof(f35640,plain,
    ~ spl839_150,
    inference(avatar_contradiction_clause,[],[f35639]) ).

fof(f35696,plain,
    ( r2_hidden(sK91,k1_xboole_0)
    | ~ spl839_151 ),
    inference(superposition,[],[f23372,f35040]) ).

fof(f35828,plain,
    ( $false
    | ~ spl839_151 ),
    inference(forward_subsumption_resolution,[],[f35696,f28773]) ).

fof(f35829,plain,
    ~ spl839_151,
    inference(avatar_contradiction_clause,[],[f35828]) ).

fof(f35884,plain,
    ( ! [X0] : k1_xboole_0 = k1_binop_1(u1_altcat_1(sK88),sK89,X0)
    | spl839_11
    | ~ spl839_34
    | ~ spl839_35 ),
    inference(resolution,[],[f29524,f33966]) ).

fof(f35890,plain,
    ( spl839_151
    | spl839_11
    | ~ spl839_34
    | ~ spl839_35 ),
    inference(avatar_split_clause,[],[f35884,f31456,f31452,f29522,f35039]) ).

fof(f35892,plain,
    ( ! [X0] : k1_xboole_0 = k1_binop_1(u1_altcat_1(sK88),X0,sK90)
    | spl839_12
    | ~ spl839_34
    | ~ spl839_35 ),
    inference(resolution,[],[f29528,f32793]) ).

fof(f35897,plain,
    ( spl839_150
    | spl839_12
    | ~ spl839_34
    | ~ spl839_35 ),
    inference(avatar_split_clause,[],[f35892,f31456,f31452,f29526,f35036]) ).

cnf(s7,plain,
    ( ~ spl839_11
    | ~ spl839_12
    | ~ spl839_13 ),
    inference(sat_conversion,[],[f29533]) ).

cnf(s31,plain,
    spl839_35,
    inference(sat_conversion,[],[f31791]) ).

cnf(s32,plain,
    spl839_34,
    inference(sat_conversion,[],[f31792]) ).

cnf(s243,plain,
    ( spl839_13
    | ~ spl839_34
    | ~ spl839_35
    | spl839_150
    | spl839_151 ),
    inference(sat_conversion,[],[f35395]) ).

cnf(s325,plain,
    ~ spl839_150,
    inference(sat_conversion,[],[f35640]) ).

cnf(s382,plain,
    ~ spl839_151,
    inference(sat_conversion,[],[f35829]) ).

cnf(s414,plain,
    ( spl839_11
    | ~ spl839_34
    | ~ spl839_35
    | spl839_151 ),
    inference(sat_conversion,[],[f35890]) ).

cnf(s415,plain,
    ( spl839_12
    | ~ spl839_34
    | ~ spl839_35
    | spl839_150 ),
    inference(sat_conversion,[],[f35897]) ).

cnf(s416,plain,
    ( spl839_13
    | ~ spl839_34
    | ~ spl839_35 ),
    inference(rat,[],[s243,s382,s325]) ).

cnf(s538,plain,
    spl839_12,
    inference(rat,[],[s415,s325,s32,s31]) ).

cnf(s539,plain,
    spl839_11,
    inference(rat,[],[s414,s382,s32,s31]) ).

cnf(s540,plain,
    spl839_13,
    inference(rat,[],[s416,s32,s31]) ).

cnf(s543,plain,
    $false,
    inference(rat,[],[s7,s540,s538,s539]) ).

fof(f35898,plain,
    $false,
    inference(avatar_sat_refutation,[],[s543]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : LAT359+3 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.39  % Computer : n017.cluster.edu
% 0.12/0.39  % Model    : x86_64 x86_64
% 0.12/0.39  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39  % Memory   : 8046.5625MB
% 0.12/0.39  % OS       : Linux 6.8.0-71-generic
% 0.12/0.39  % CPULimit : 300
% 0.12/0.39  % WCLimit  : 300
% 0.12/0.39  % DateTime : Sun Sep 27 14:55:22 UTC 2026
% 0.12/0.40  % CPUTime  : 
% 0.12/0.40  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.45  Running first-order theorem proving
% 0.12/0.45  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
% 24.40/5.87  % (2664997)Detected formulas, will run a generic FOF schedule.
% 24.40/5.87  % (2665023)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=1078034156:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2985 on theBenchmark for (2985ds/134677Mi)
% 24.40/5.87  % (2665022)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=2534334867:i=141193_2985 on theBenchmark for (2985ds/141193Mi)
% 24.40/5.87  % (2665024)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=2975775817:i=141695:sd=1:nm=32:gsp=on:ss=included_2985 on theBenchmark for (2985ds/141695Mi)
% 24.40/5.87  % (2665025)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2562527778:i=109:sd=1:ins=1:gsp=on:ss=axioms_2985 on theBenchmark for (2985ds/109Mi)
% 24.40/5.87  % (2665026)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1748115000:i=119:av=off:ss=axioms_2985 on theBenchmark for (2985ds/119Mi)
% 24.40/5.87  % (2665028)dis-21_1_sil=8000:lcm=predicate:random_seed=2087941962:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2985 on theBenchmark for (2985ds/129Mi)
% 24.40/5.87  % (2665027)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3132888935:s2a=on:i=139:gtg=position_2985 on theBenchmark for (2985ds/139Mi)
% 24.40/5.87  % (2665025)Instruction limit reached! 
% 24.40/5.87  % (2665025)------------------------------
% 24.40/5.87  % (2665025)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.40/5.87  % (2665025)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.40/5.87  % (2665025)CaDiCaL version: 2.1.3
% 24.40/5.87  % (2665025)Termination reason: Instruction limit
% 24.40/5.87  % (2665025)Termination phase: SInE selection
% 24.40/5.87  % (2665025)Time elapsed: 0.139 s
% 24.40/5.87  % (2665025)Peak memory usage: 112 MB
% 24.40/5.87  % (2665025)Instructions burned: 109 (million)
% 24.40/5.87  % (2665027)Instruction limit reached! 
% 24.40/5.87  % (2665027)------------------------------
% 24.40/5.87  % (2665027)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.40/5.87  % (2665027)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.40/5.87  % (2665027)CaDiCaL version: 2.1.3
% 24.40/5.87  % (2665027)Termination reason: Instruction limit
% 24.40/5.87  % (2665027)Termination phase: Property scanning
% 24.40/5.87  % (2665027)Time elapsed: 0.130 s
% 24.40/5.87  % (2665027)Peak memory usage: 112 MB
% 24.40/5.87  % (2665027)Instructions burned: 140 (million)
% 24.40/5.87  % (2665028)Instruction limit reached! 
% 24.40/5.87  % (2665028)------------------------------
% 24.40/5.87  % (2665028)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.40/5.87  % (2665028)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.40/5.87  % (2665028)CaDiCaL version: 2.1.3
% 24.40/5.87  % (2665028)Termination reason: Instruction limit
% 24.40/5.87  % (2665028)Termination phase: SInE selection
% 24.40/5.87  % (2665028)Time elapsed: 0.151 s
% 24.40/5.87  % (2665028)Peak memory usage: 112 MB
% 24.40/5.87  % (2665028)Instructions burned: 129 (million)
% 24.40/5.87  % (2665026)Instruction limit reached! 
% 24.40/5.87  % (2665026)------------------------------
% 24.40/5.87  % (2665026)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.40/5.87  % (2665026)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.40/5.87  % (2665026)CaDiCaL version: 2.1.3
% 24.40/5.87  % (2665026)Termination reason: Instruction limit
% 24.40/5.87  % (2665026)Termination phase: Preprocessing 3
% 24.40/5.87  % (2665026)Time elapsed: 0.168 s
% 24.40/5.87  % (2665026)Peak memory usage: 114 MB
% 24.40/5.87  % (2665026)Instructions burned: 119 (million)
% 24.40/5.87  % (2665036)lrs+10_1_sil=8000:sp=occurrence:random_seed=1512086855:i=285:sd=3:ss=axioms:sgt=8_2981 on theBenchmark for (2981ds/285Mi)
% 24.40/5.87  % (2665039)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=671632535:s2a=on:i=248:s2at=1.23:gtg=position_2981 on theBenchmark for (2981ds/248Mi)
% 24.40/5.87  % (2665037)lrs+10_1_sil=32000:urr=on:br=off:random_seed=148165987:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2981 on theBenchmark for (2981ds/157Mi)
% 24.40/5.87  % (2665038)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1783699883:i=325:sd=1:ss=axioms:sgt=32_2981 on theBenchmark for (2981ds/325Mi)
% 24.40/5.87  % (2665037)Instruction limit reached! 
% 36.85/7.44  % (2665037)------------------------------
% 36.85/7.44  % (2665037)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 36.85/7.44  % (2665037)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.85/7.44  % (2665037)CaDiCaL version: 2.1.3
% 36.85/7.44  % (2665037)Termination reason: Instruction limit
% 36.85/7.44  % (2665037)Termination phase: Property scanning
% 36.85/7.44  % (2665037)Time elapsed: 0.146 s
% 36.85/7.44  % (2665037)Peak memory usage: 112 MB
% 36.85/7.44  % (2665037)Instructions burned: 158 (million)
% 36.85/7.44  % (2665039)Instruction limit reached! 
% 36.85/7.44  % (2665039)------------------------------
% 36.85/7.44  % (2665039)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 36.85/7.44  % (2665039)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.85/7.44  % (2665039)CaDiCaL version: 2.1.3
% 36.85/7.44  % (2665039)Termination reason: Instruction limit
% 36.85/7.44  % (2665039)Termination phase: Property scanning
% 36.85/7.44  % (2665039)Time elapsed: 0.226 s
% 36.85/7.44  % (2665039)Peak memory usage: 112 MB
% 36.85/7.44  % (2665039)Instructions burned: 249 (million)
% 36.85/7.44  % (2665036)Instruction limit reached! 
% 36.85/7.44  % (2665036)------------------------------
% 36.85/7.44  % (2665036)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 36.85/7.44  % (2665036)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.85/7.44  % (2665036)CaDiCaL version: 2.1.3
% 36.85/7.44  % (2665036)Termination reason: Instruction limit
% 36.85/7.44  % (2665036)Termination phase: Saturation
% 36.85/7.44  % (2665036)Time elapsed: 0.364 s
% 36.85/7.44  % (2665036)Peak memory usage: 118 MB
% 36.85/7.44  % (2665036)Instructions burned: 285 (million)
% 36.85/7.44  % (2665038)Instruction limit reached! 
% 36.85/7.44  % (2665038)------------------------------
% 36.85/7.44  % (2665038)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 36.85/7.44  % (2665038)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.85/7.44  % (2665038)CaDiCaL version: 2.1.3
% 36.85/7.44  % (2665038)Termination reason: Instruction limit
% 36.85/7.44  % (2665038)Termination phase: Saturation
% 36.85/7.44  % (2665038)Time elapsed: 0.376 s
% 36.85/7.44  % (2665038)Peak memory usage: 119 MB
% 36.85/7.44  % (2665038)Instructions burned: 325 (million)
% 36.85/7.44  % (2665044)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=4146955352:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2977 on theBenchmark for (2977ds/294Mi)
% 36.85/7.44  % (2665045)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2481711662:i=2350_2976 on theBenchmark for (2976ds/2350Mi)
% 36.85/7.44  % (2665046)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=4181623742:cts=off:i=113:fsr=off:ss=included:sgt=4_2975 on theBenchmark for (2975ds/113Mi)
% 36.85/7.44  % (2665047)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3967998803:i=127:av=off:fsr=off:sup=off_2974 on theBenchmark for (2974ds/127Mi)
% 36.85/7.44  % (2665046)Instruction limit reached! 
% 36.85/7.44  % (2665046)------------------------------
% 36.85/7.44  % (2665046)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 36.85/7.44  % (2665046)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.85/7.44  % (2665046)CaDiCaL version: 2.1.3
% 36.85/7.44  % (2665046)Termination reason: Instruction limit
% 36.85/7.44  % (2665046)Termination phase: SInE selection
% 36.85/7.44  % (2665046)Time elapsed: 0.152 s
% 36.85/7.44  % (2665046)Peak memory usage: 112 MB
% 36.85/7.44  % (2665046)Instructions burned: 113 (million)
% 36.85/7.44  % (2665044)Instruction limit reached! 
% 36.85/7.44  % (2665044)------------------------------
% 36.85/7.44  % (2665044)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 36.85/7.44  % (2665044)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.85/7.44  % (2665044)CaDiCaL version: 2.1.3
% 36.85/7.44  % (2665044)Termination reason: Instruction limit
% 36.85/7.44  % (2665044)Termination phase: Saturation
% 36.85/7.44  % (2665044)Time elapsed: 0.336 s
% 36.85/7.44  % (2665044)Peak memory usage: 119 MB
% 36.85/7.44  % (2665044)Instructions burned: 294 (million)
% 36.85/7.44  % (2665047)Instruction limit reached! 
% 36.85/7.44  % (2665047)------------------------------
% 36.85/7.44  % (2665047)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 36.85/7.44  % (2665047)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.85/7.44  % (2665047)CaDiCaL version: 2.1.3
% 36.85/7.44  % (2665047)Termination reason: Instruction limit
% 32.52/11.12  % (2665047)Termination phase: Preprocessing 1
% 32.52/11.12  % (2665047)Time elapsed: 0.160 s
% 32.52/11.12  % (2665047)Peak memory usage: 113 MB
% 32.52/11.12  % (2665047)Instructions burned: 127 (million)
% 32.52/11.12  % (2665052)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2762931061:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2971 on theBenchmark for (2971ds/114Mi)
% 32.52/11.12  % (2665053)lrs+10_1_sil=8000:sp=occurrence:random_seed=1752428358:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2971 on theBenchmark for (2971ds/907Mi)
% 32.52/11.12  % (2665054)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2453723175:i=437:sd=1:aac=none:ss=included_2970 on theBenchmark for (2970ds/437Mi)
% 32.52/11.12  % (2665052)Instruction limit reached! 
% 32.52/11.12  % (2665052)------------------------------
% 32.52/11.12  % (2665052)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.52/11.12  % (2665052)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.52/11.12  % (2665052)CaDiCaL version: 2.1.3
% 32.52/11.12  % (2665052)Termination reason: Instruction limit
% 62.68/11.19  % (2665052)Termination phase: Property scanning
% 62.68/11.19  % (2665052)Time elapsed: 0.106 s
% 62.68/11.19  % (2665052)Peak memory usage: 112 MB
% 62.68/11.19  % (2665052)Instructions burned: 117 (million)
% 62.68/11.19  % (2665061)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=876226973:i=5202:ss=axioms:sgt=16_2967 on theBenchmark for (2967ds/5202Mi)
% 62.68/11.19  % (2665054)Instruction limit reached! 
% 62.68/11.19  % (2665054)------------------------------
% 62.68/11.19  % (2665054)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 62.68/11.19  % (2665054)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 62.68/11.19  % (2665054)CaDiCaL version: 2.1.3
% 62.68/11.19  % (2665054)Termination reason: Instruction limit
% 62.68/11.19  % (2665054)Termination phase: Saturation
% 62.68/11.19  % (2665054)Time elapsed: 0.459 s
% 62.68/11.19  % (2665054)Peak memory usage: 118 MB
% 62.68/11.19  % (2665054)Instructions burned: 437 (million)
% 62.68/11.19  % (2665064)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=3754550551:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2963 on theBenchmark for (2963ds/134Mi)
% 62.68/11.19  % (2665064)Instruction limit reached! 
% 62.68/11.19  % (2665064)------------------------------
% 62.68/11.19  % (2665064)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 62.68/11.19  % (2665064)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 62.68/11.19  % (2665064)CaDiCaL version: 2.1.3
% 62.68/11.19  % (2665064)Termination reason: Instruction limit
% 62.68/11.19  % (2665064)Termination phase: NewCNF
% 62.68/11.19  % (2665064)Time elapsed: 0.188 s
% 62.68/11.19  % (2665064)Peak memory usage: 115 MB
% 62.68/11.19  % (2665064)Instructions burned: 134 (million)
% 62.68/11.19  % (2665053)Instruction limit reached! 
% 62.68/11.19  % (2665053)------------------------------
% 62.68/11.19  % (2665053)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 62.68/11.19  % (2665053)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 62.68/11.19  % (2665053)CaDiCaL version: 2.1.3
% 62.68/11.19  % (2665053)Termination reason: Instruction limit
% 62.68/11.19  % (2665053)Termination phase: Saturation
% 62.68/11.19  % (2665053)Time elapsed: 0.997 s
% 62.68/11.19  % (2665053)Peak memory usage: 129 MB
% 62.68/11.19  % (2665053)Instructions burned: 907 (million)
% 62.68/11.19  % (2665066)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=571489092:st=8:i=592:sd=3:ep=RST:ss=axioms_2958 on theBenchmark for (2958ds/592Mi)
% 62.68/11.19  % (2665067)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=1514924314:st=3:i=13193:sd=3:ss=axioms_2958 on theBenchmark for (2958ds/13193Mi)
% 62.68/11.19  % (2665066)Instruction limit reached! 
% 62.68/11.19  % (2665066)------------------------------
% 62.68/11.19  % (2665066)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 62.68/11.19  % (2665066)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 62.68/11.19  % (2665066)CaDiCaL version: 2.1.3
% 62.68/11.19  % (2665066)Termination reason: Instruction limit
% 62.68/11.19  % (2665066)Termination phase: Preprocessing 3
% 62.68/11.19  % (2665066)Time elapsed: 0.412 s
% 62.68/11.19  % (2665066)Peak memory usage: 133 MB
% 62.68/11.19  % (2665066)Instructions burned: 592 (million)
% 62.68/11.19  % (2665045)Instruction limit reached! 
% 62.68/11.19  % (2665045)------------------------------
% 62.68/11.19  % (2665045)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 62.68/11.19  % (2665045)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 62.68/11.19  % (2665045)CaDiCaL version: 2.1.3
% 62.68/11.19  % (2665045)Termination reason: Instruction limit
% 62.68/11.19  % (2665045)Termination phase: Property scanning
% 62.68/11.19  % (2665045)Time elapsed: 2.220 s
% 62.68/11.19  % (2665045)Peak memory usage: 170 MB
% 62.68/11.19  % (2665045)Instructions burned: 2350 (million)
% 62.68/11.19  % (2665072)lrs+1666_7_slsqr=4,1:sil=8000:plsq=on:plsqc=1:sos=on:urr=on:plsql=on:rp=on:alpa=false:sac=on:slsq=on:random_seed=1782881726:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2952 on theBenchmark for (2952ds/125Mi)
% 62.68/11.19  % (2665072)Instruction limit reached! 
% 62.68/11.19  % (2665072)------------------------------
% 62.68/11.19  % (2665072)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 62.68/11.19  % (2665072)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 62.68/11.19  % (2665072)CaDiCaL version: 2.1.3
% 62.68/11.19  % (2665072)Termination reason: Instruction limit
% 62.68/11.19  % (2665072)Termination phase: Property scanning
% 62.68/11.19  % (2665072)Time elapsed: 0.064 s
% 62.68/11.19  % (2665072)Peak memory usage: 112 MB
% 62.68/11.19  % (2665072)Instructions burned: 125 (million)
% 62.68/11.19  % (2665073)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=2042919073:i=134:gtgl=5:slsql=off:gtg=exists_sym_2951 on theBenchmark for (2951ds/134Mi)
% 62.68/11.19  % (2665073)Instruction limit reached! 
% 62.68/11.19  % (2665073)------------------------------
% 62.68/11.19  % (2665073)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 62.68/11.19  % (2665073)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 62.68/11.19  % (2665073)CaDiCaL version: 2.1.3
% 62.68/11.19  % (2665073)Termination reason: Instruction limit
% 62.68/11.19  % (2665073)Termination phase: Property scanning
% 62.68/11.19  % (2665073)Time elapsed: 0.125 s
% 62.68/11.19  % (2665073)Peak memory usage: 112 MB
% 62.68/11.19  % (2665073)Instructions burned: 135 (million)
% 62.68/11.19  % (2665075)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=3153056220:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2949 on theBenchmark for (2949ds/141Mi)
% 62.68/11.19  % (2665078)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=4032636375:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2947 on theBenchmark for (2947ds/431Mi)
% 62.68/11.19  % (2665075)Refutation not found, incomplete strategy
% 62.68/11.19  % (2665075)------------------------------
% 62.68/11.19  % (2665075)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 62.68/11.19  % (2665075)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 62.68/11.19  % (2665075)CaDiCaL version: 2.1.3
% 62.68/11.19  % (2665075)Termination reason: Refutation not found, incomplete strategy
% 62.68/11.19  % (2665075)Time elapsed: 0.158 s
% 62.68/11.19  % (2665075)Peak memory usage: 117 MB
% 62.68/11.19  % (2665075)Instructions burned: 121 (million)
% 62.68/11.19  % (2665078)Instruction limit reached! 
% 62.68/11.19  % (2665078)------------------------------
% 62.68/11.19  % (2665078)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 62.68/11.19  % (2665078)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 62.68/11.19  % (2665078)CaDiCaL version: 2.1.3
% 62.68/11.19  % (2665078)Termination reason: Instruction limit
% 62.68/11.19  % (2665078)Termination phase: Saturation
% 62.68/11.19  % (2665078)Time elapsed: 0.253 s
% 62.68/11.19  % (2665078)Peak memory usage: 118 MB
% 62.68/11.19  % (2665078)Instructions burned: 432 (million)
% 62.68/11.19  % (2665075)------------------------------
% 62.68/11.19  % (2665075)------------------------------
% 62.68/11.19  % (2665082)lrs+1010_1_ncem=casc2026/models/loop6.pt:sil=64000:tgt=full:npcc=on:prc=on:urr=ec_only:bsr=on:fd=preordered:gs=on:sac=on:newcnf=on:random_seed=2899240188:i=6060:aac=none:ins=25_2942 on theBenchmark for (2942ds/6060Mi)
% 62.68/11.19  % (2665083)lrs+10_16_anc=all:slsqr=32,1:sil=8000:avsql=on:sp=unary_frequency:lcm=predicate:urr=full:rp=on:br=off:slsqc=4:flr=on:sac=on:slsq=on:avsqc=1:random_seed=3542921735:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2940 on theBenchmark for (2940ds/150Mi)
% 62.68/11.19  % (2665083)Instruction limit reached! 
% 62.68/11.19  % (2665083)------------------------------
% 62.68/11.19  % (2665083)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 62.68/11.19  % (2665083)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 62.68/11.19  % (2665083)CaDiCaL version: 2.1.3
% 62.68/11.19  % (2665083)Termination reason: Instruction limit
% 62.68/11.19  % (2665083)Termination phase: Preprocessing 1
% 62.68/11.19  % (2665083)Time elapsed: 0.200 s
% 62.68/11.19  % (2665083)Peak memory usage: 113 MB
% 62.68/11.19  % (2665083)Instructions burned: 150 (million)
% 62.68/11.19  % (2665086)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=988360204:i=14155:bd=all_2935 on theBenchmark for (2935ds/14155Mi)
% 62.68/11.19  % (2665061)Instruction limit reached! 
% 62.68/11.19  % (2665061)------------------------------
% 62.68/11.19  % (2665061)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 62.68/11.19  % (2665061)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 62.68/11.19  % (2665061)CaDiCaL version: 2.1.3
% 62.68/11.19  % (2665061)Termination reason: Instruction limit
% 62.68/11.19  % (2665061)Termination phase: Saturation
% 62.68/11.19  % (2665061)Time elapsed: 4.760 s
% 62.68/11.19  % (2665061)Peak memory usage: 193 MB
% 62.68/11.19  % (2665061)Instructions burned: 5204 (million)
% 62.68/11.19  % (2665092)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=3059870830:i=667:av=off:fsr=off_2916 on theBenchmark for (2916ds/667Mi)
% 62.68/11.19  % (2665067)First to succeed.
% 62.68/11.19  % (2665067)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2664997"
% 62.68/11.19  % (2665092)Instruction limit reached! 
% 62.68/11.19  % (2665092)------------------------------
% 62.68/11.19  % (2665092)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 62.68/11.19  % (2665092)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 62.68/11.19  % (2665092)CaDiCaL version: 2.1.3
% 62.68/11.19  % (2665092)Termination reason: Instruction limit
% 62.68/11.19  % (2665092)Termination phase: NewCNF
% 62.68/11.19  % (2665092)Time elapsed: 0.866 s
% 62.68/11.19  % (2665092)Peak memory usage: 148 MB
% 62.68/11.19  % (2665092)Instructions burned: 667 (million)
% 62.68/11.19  % (2665082)Instruction limit reached! 
% 62.68/11.19  % (2665082)------------------------------
% 62.68/11.19  % (2665082)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 62.68/11.19  % (2665082)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 62.68/11.19  % (2665082)CaDiCaL version: 2.1.3
% 62.68/11.19  % (2665082)Termination reason: Instruction limit
% 62.68/11.19  % (2665082)Termination phase: Saturation
% 62.68/11.19  % (2665082)Time elapsed: 3.924 s
% 62.68/11.19  % (2665082)Peak memory usage: 509 MB
% 62.68/11.19  % (2665082)Instructions burned: 6061 (million)
% 62.68/11.19  % (2665094)ott-1011_3:1_anc=all_dependent:to=lpo:sil=8000:drc=ordering:sas=cadical:fdtod=off:sp=reverse_frequency:spb=goal_then_units:urr=full:lftc=20:newcnf=on:random_seed=4072307073:s2a=on:i=185:s2at=1.8:fdi=4_2904 on theBenchmark for (2904ds/185Mi)
% 62.68/11.19  % (2665067)Refutation found. Thanks to Tanya!
% 62.68/11.19  % SZS status Theorem for theBenchmark
% 62.68/11.19  % SZS output start Proof for theBenchmark
% See solution above
% 62.89/11.49  % (2665067)------------------------------
% 62.89/11.49  % (2665067)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 62.89/11.49  % (2665067)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 62.89/11.49  % (2665067)CaDiCaL version: 2.1.3
% 62.89/11.49  % (2665067)Termination reason: Refutation
% 62.89/11.49  % (2665067)Time elapsed: 4.954 s
% 62.89/11.49  % (2665067)Peak memory usage: 230 MB
% 62.89/11.49  % (2665067)Instructions burned: 4815 (million)
% 62.89/11.49  % (2665067)------------------------------
% 62.89/11.49  % (2665067)------------------------------
% 62.89/11.49  % (2664997)Success in time 10.147 s
% 62.89/11.49  % Vampire exiting
%------------------------------------------------------------------------------