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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SEU421+2 : TPTP v9.3.1. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n007.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 12:48:53 PM UTC 2026

% Result   : Theorem 95.33s 16.66s
% Output   : Refutation 111.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   31
%            Number of leaves      :   22
% Syntax   : Number of formulae    :  170 (  27 unt;  11 def)
%            Number of atoms       :  565 (  77 equ)
%            Maximal formula atoms :   15 (   3 avg)
%            Number of connectives :  679 ( 284   ~; 297   |;  67   &)
%                                         (  17 <=>;  14  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   5 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   11 (   9 usr;   6 prp; 0-2 aty)
%            Number of functors    :   24 (  24 usr;   9 con; 0-4 aty)
%            Number of variables   :  291 (   0 sgn 265   !;  26   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f8,axiom,
    ! [X0,X1] :
      ( r1_tarski(X0,X1)
    <=> ! [X2] :
          ( r2_hidden(X2,X0)
         => r2_hidden(X2,X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_tarski) ).

fof(f9,axiom,
    ! [X0,X1] :
      ( X1 = k3_tarski(X0)
    <=> ! [X2] :
          ( r2_hidden(X2,X1)
        <=> ? [X3] :
              ( r2_hidden(X2,X3)
              & r2_hidden(X3,X0) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_tarski) ).

fof(f38,axiom,
    ! [X0,X1] :
      ( X0 = X1
    <=> ( r1_tarski(X0,X1)
        & r1_tarski(X1,X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d10_xboole_0) ).

fof(f280,axiom,
    ! [X0,X1] :
      ( r2_hidden(X0,X1)
     => r1_tarski(X0,k3_tarski(X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t92_zfmisc_1) ).

fof(f282,axiom,
    ! [X0,X1] :
      ( ! [X2] :
          ( r2_hidden(X2,X0)
         => r1_tarski(X2,X1) )
     => r1_tarski(k3_tarski(X0),X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t94_zfmisc_1) ).

fof(f532,axiom,
    ! [X0,X1] :
      ( m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0)))
     => k5_setfam_1(X0,X1) = k3_tarski(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k5_setfam_1) ).

fof(f541,axiom,
    ! [X0,X1,X2] :
      ( ( r2_hidden(X0,X1)
        & m1_subset_1(X1,k1_zfmisc_1(X2)) )
     => m1_subset_1(X0,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_subset) ).

fof(f712,axiom,
    ! [X0] :
      ( v1_relat_1(X0)
     => ! [X1,X2] :
          ( X2 = k9_relat_1(X0,X1)
        <=> ! [X3] :
              ( r2_hidden(X3,X2)
            <=> ? [X4] :
                  ( r2_hidden(k4_tarski(X4,X3),X0)
                  & r2_hidden(X4,X1) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d13_relat_1) ).

fof(f728,axiom,
    ! [X0,X1,X2] :
      ( v1_relat_1(X2)
     => ( r1_tarski(X0,X1)
       => r1_tarski(k9_relat_1(X2,X0),k9_relat_1(X2,X1)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t156_relat_1) ).

fof(f4453,axiom,
    ! [X0,X1,X2,X3] :
      ( ( m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X1)))
        & v1_relat_1(X3) )
     => ( r2_hidden(X0,a_3_0_relset_2(X1,X2,X3))
      <=> ? [X4] :
            ( m1_subset_1(X4,k1_zfmisc_1(X1))
            & X0 = k9_relat_1(X3,X4)
            & r2_hidden(X4,X2) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fraenkel_a_3_0_relset_2) ).

fof(f4485,conjecture,
    ! [X0,X1] :
      ( m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0)))
     => ! [X2] :
          ( v1_relat_1(X2)
         => k9_relat_1(X2,k5_setfam_1(X0,X1)) = k3_tarski(a_3_0_relset_2(X0,X1,X2)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t14_relset_2) ).

fof(f4486,negated_conjecture,
    ~ ! [X0,X1] :
        ( m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0)))
       => ! [X2] :
            ( v1_relat_1(X2)
           => k9_relat_1(X2,k5_setfam_1(X0,X1)) = k3_tarski(a_3_0_relset_2(X0,X1,X2)) ) ),
    inference(negated_conjecture,[status(cth)],[f4485]) ).

fof(f4670,plain,
    ! [X0,X1] :
      ( r1_tarski(X0,X1)
    <=> ! [X2] :
          ( r2_hidden(X2,X1)
          | ~ r2_hidden(X2,X0) ) ),
    inference(ennf_transformation,[],[f8]) ).

fof(f4824,plain,
    ! [X0,X1] :
      ( r1_tarski(X0,k3_tarski(X1))
      | ~ r2_hidden(X0,X1) ),
    inference(ennf_transformation,[],[f280]) ).

fof(f4825,plain,
    ! [X0,X1] :
      ( r1_tarski(k3_tarski(X0),X1)
      | ? [X2] :
          ( ~ r1_tarski(X2,X1)
          & r2_hidden(X2,X0) ) ),
    inference(ennf_transformation,[],[f282]) ).

fof(f5066,plain,
    ! [X0,X1] :
      ( k5_setfam_1(X0,X1) = k3_tarski(X1)
      | ~ m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0))) ),
    inference(ennf_transformation,[],[f532]) ).

fof(f5075,plain,
    ! [X0,X1,X2] :
      ( m1_subset_1(X0,X2)
      | ~ r2_hidden(X0,X1)
      | ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
    inference(ennf_transformation,[],[f541]) ).

fof(f5076,plain,
    ! [X0,X1,X2] :
      ( m1_subset_1(X0,X2)
      | ~ r2_hidden(X0,X1)
      | ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
    inference(flattening,[],[f5075]) ).

fof(f5251,plain,
    ! [X0] :
      ( ! [X1,X2] :
          ( X2 = k9_relat_1(X0,X1)
        <=> ! [X3] :
              ( r2_hidden(X3,X2)
            <=> ? [X4] :
                  ( r2_hidden(k4_tarski(X4,X3),X0)
                  & r2_hidden(X4,X1) ) ) )
      | ~ v1_relat_1(X0) ),
    inference(ennf_transformation,[],[f712]) ).

fof(f5265,plain,
    ! [X0,X1,X2] :
      ( r1_tarski(k9_relat_1(X2,X0),k9_relat_1(X2,X1))
      | ~ r1_tarski(X0,X1)
      | ~ v1_relat_1(X2) ),
    inference(ennf_transformation,[],[f728]) ).

fof(f5266,plain,
    ! [X0,X1,X2] :
      ( r1_tarski(k9_relat_1(X2,X0),k9_relat_1(X2,X1))
      | ~ r1_tarski(X0,X1)
      | ~ v1_relat_1(X2) ),
    inference(flattening,[],[f5265]) ).

fof(f9682,plain,
    ! [X0,X1,X2,X3] :
      ( ( r2_hidden(X0,a_3_0_relset_2(X1,X2,X3))
      <=> ? [X4] :
            ( m1_subset_1(X4,k1_zfmisc_1(X1))
            & X0 = k9_relat_1(X3,X4)
            & r2_hidden(X4,X2) ) )
      | ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X1)))
      | ~ v1_relat_1(X3) ),
    inference(ennf_transformation,[],[f4453]) ).

fof(f9683,plain,
    ! [X0,X1,X2,X3] :
      ( ( r2_hidden(X0,a_3_0_relset_2(X1,X2,X3))
      <=> ? [X4] :
            ( m1_subset_1(X4,k1_zfmisc_1(X1))
            & X0 = k9_relat_1(X3,X4)
            & r2_hidden(X4,X2) ) )
      | ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X1)))
      | ~ v1_relat_1(X3) ),
    inference(flattening,[],[f9682]) ).

fof(f9718,plain,
    ? [X0,X1] :
      ( ? [X2] :
          ( k9_relat_1(X2,k5_setfam_1(X0,X1)) != k3_tarski(a_3_0_relset_2(X0,X1,X2))
          & v1_relat_1(X2) )
      & m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0))) ),
    inference(ennf_transformation,[],[f4486]) ).

fof(f9999,plain,
    ! [X0,X1] :
      ( ( r1_tarski(X0,X1)
        | ? [X2] :
            ( ~ r2_hidden(X2,X1)
            & r2_hidden(X2,X0) ) )
      & ( ! [X2] :
            ( r2_hidden(X2,X1)
            | ~ r2_hidden(X2,X0) )
        | ~ r1_tarski(X0,X1) ) ),
    inference(nnf_transformation,[],[f4670]) ).

fof(f10000,plain,
    ! [X0,X1] :
      ( ( r1_tarski(X0,X1)
        | ? [X2] :
            ( ~ r2_hidden(X2,X1)
            & r2_hidden(X2,X0) ) )
      & ( ! [X3] :
            ( r2_hidden(X3,X1)
            | ~ r2_hidden(X3,X0) )
        | ~ r1_tarski(X0,X1) ) ),
    inference(rectify,[],[f9999]) ).

fof(f10001,plain,
    ! [X0,X1] :
      ( ( r1_tarski(X0,X1)
        | ( ~ r2_hidden(sK180(X0,X1),X1)
          & r2_hidden(sK180(X0,X1),X0) ) )
      & ( ! [X3] :
            ( r2_hidden(X3,X1)
            | ~ r2_hidden(X3,X0) )
        | ~ r1_tarski(X0,X1) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK180]),skolemize(X2,sK180(X0,X1))],[f10000]) ).

fof(f10002,plain,
    ! [X0,X1] :
      ( ( X1 = k3_tarski(X0)
        | ? [X2] :
            ( ( ! [X3] :
                  ( ~ r2_hidden(X2,X3)
                  | ~ r2_hidden(X3,X0) )
              | ~ r2_hidden(X2,X1) )
            & ( ? [X3] :
                  ( r2_hidden(X2,X3)
                  & r2_hidden(X3,X0) )
              | r2_hidden(X2,X1) ) ) )
      & ( ! [X2] :
            ( ( r2_hidden(X2,X1)
              | ! [X3] :
                  ( ~ r2_hidden(X2,X3)
                  | ~ r2_hidden(X3,X0) ) )
            & ( ? [X3] :
                  ( r2_hidden(X2,X3)
                  & r2_hidden(X3,X0) )
              | ~ r2_hidden(X2,X1) ) )
        | k3_tarski(X0) != X1 ) ),
    inference(nnf_transformation,[],[f9]) ).

fof(f10003,plain,
    ! [X0,X1] :
      ( ( X1 = k3_tarski(X0)
        | ? [X2] :
            ( ( ! [X3] :
                  ( ~ r2_hidden(X2,X3)
                  | ~ r2_hidden(X3,X0) )
              | ~ r2_hidden(X2,X1) )
            & ( ? [X4] :
                  ( r2_hidden(X2,X4)
                  & r2_hidden(X4,X0) )
              | r2_hidden(X2,X1) ) ) )
      & ( ! [X5] :
            ( ( r2_hidden(X5,X1)
              | ! [X6] :
                  ( ~ r2_hidden(X5,X6)
                  | ~ r2_hidden(X6,X0) ) )
            & ( ? [X7] :
                  ( r2_hidden(X5,X7)
                  & r2_hidden(X7,X0) )
              | ~ r2_hidden(X5,X1) ) )
        | k3_tarski(X0) != X1 ) ),
    inference(rectify,[],[f10002]) ).

fof(f10004,plain,
    ! [X0,X1] :
      ( ( X1 = k3_tarski(X0)
        | ( ( ! [X3] :
                ( ~ r2_hidden(sK181(X0,X1),X3)
                | ~ r2_hidden(X3,X0) )
            | ~ r2_hidden(sK181(X0,X1),X1) )
          & ( ( r2_hidden(sK181(X0,X1),sK182(X0,X1))
              & r2_hidden(sK182(X0,X1),X0) )
            | r2_hidden(sK181(X0,X1),X1) ) ) )
      & ( ! [X5] :
            ( ( r2_hidden(X5,X1)
              | ! [X6] :
                  ( ~ r2_hidden(X5,X6)
                  | ~ r2_hidden(X6,X0) ) )
            & ( ( r2_hidden(X5,sK183(X0,X5))
                & r2_hidden(sK183(X0,X5),X0) )
              | ~ r2_hidden(X5,X1) ) )
        | k3_tarski(X0) != X1 ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK181,sK182,sK183]),skolemize(X2,sK181(X0,X1)),skolemize(X4,sK182(X0,X1)),skolemize(X7,sK183(X0,X5))],[f10003]) ).

fof(f10037,plain,
    ! [X0,X1] :
      ( ( X0 = X1
        | ~ r1_tarski(X0,X1)
        | ~ r1_tarski(X1,X0) )
      & ( ( r1_tarski(X0,X1)
          & r1_tarski(X1,X0) )
        | X0 != X1 ) ),
    inference(nnf_transformation,[],[f38]) ).

fof(f10038,plain,
    ! [X0,X1] :
      ( ( X0 = X1
        | ~ r1_tarski(X0,X1)
        | ~ r1_tarski(X1,X0) )
      & ( ( r1_tarski(X0,X1)
          & r1_tarski(X1,X0) )
        | X0 != X1 ) ),
    inference(flattening,[],[f10037]) ).

fof(f10089,plain,
    ! [X0,X1] :
      ( r1_tarski(k3_tarski(X0),X1)
      | ( ~ r1_tarski(sK218(X0,X1),X1)
        & r2_hidden(sK218(X0,X1),X0) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK218]),skolemize(X2,sK218(X0,X1))],[f4825]) ).

fof(f10264,plain,
    ! [X0] :
      ( ! [X1,X2] :
          ( ( X2 = k9_relat_1(X0,X1)
            | ? [X3] :
                ( ( ! [X4] :
                      ( ~ r2_hidden(k4_tarski(X4,X3),X0)
                      | ~ r2_hidden(X4,X1) )
                  | ~ r2_hidden(X3,X2) )
                & ( ? [X4] :
                      ( r2_hidden(k4_tarski(X4,X3),X0)
                      & r2_hidden(X4,X1) )
                  | r2_hidden(X3,X2) ) ) )
          & ( ! [X3] :
                ( ( r2_hidden(X3,X2)
                  | ! [X4] :
                      ( ~ r2_hidden(k4_tarski(X4,X3),X0)
                      | ~ r2_hidden(X4,X1) ) )
                & ( ? [X4] :
                      ( r2_hidden(k4_tarski(X4,X3),X0)
                      & r2_hidden(X4,X1) )
                  | ~ r2_hidden(X3,X2) ) )
            | k9_relat_1(X0,X1) != X2 ) )
      | ~ v1_relat_1(X0) ),
    inference(nnf_transformation,[],[f5251]) ).

fof(f10265,plain,
    ! [X0] :
      ( ! [X1,X2] :
          ( ( X2 = k9_relat_1(X0,X1)
            | ? [X3] :
                ( ( ! [X4] :
                      ( ~ r2_hidden(k4_tarski(X4,X3),X0)
                      | ~ r2_hidden(X4,X1) )
                  | ~ r2_hidden(X3,X2) )
                & ( ? [X5] :
                      ( r2_hidden(k4_tarski(X5,X3),X0)
                      & r2_hidden(X5,X1) )
                  | r2_hidden(X3,X2) ) ) )
          & ( ! [X6] :
                ( ( r2_hidden(X6,X2)
                  | ! [X7] :
                      ( ~ r2_hidden(k4_tarski(X7,X6),X0)
                      | ~ r2_hidden(X7,X1) ) )
                & ( ? [X8] :
                      ( r2_hidden(k4_tarski(X8,X6),X0)
                      & r2_hidden(X8,X1) )
                  | ~ r2_hidden(X6,X2) ) )
            | k9_relat_1(X0,X1) != X2 ) )
      | ~ v1_relat_1(X0) ),
    inference(rectify,[],[f10264]) ).

fof(f10266,plain,
    ! [X0] :
      ( ! [X1,X2] :
          ( ( X2 = k9_relat_1(X0,X1)
            | ( ( ! [X4] :
                    ( ~ r2_hidden(k4_tarski(X4,sK328(X0,X1,X2)),X0)
                    | ~ r2_hidden(X4,X1) )
                | ~ r2_hidden(sK328(X0,X1,X2),X2) )
              & ( ( r2_hidden(k4_tarski(sK329(X0,X1,X2),sK328(X0,X1,X2)),X0)
                  & r2_hidden(sK329(X0,X1,X2),X1) )
                | r2_hidden(sK328(X0,X1,X2),X2) ) ) )
          & ( ! [X6] :
                ( ( r2_hidden(X6,X2)
                  | ! [X7] :
                      ( ~ r2_hidden(k4_tarski(X7,X6),X0)
                      | ~ r2_hidden(X7,X1) ) )
                & ( ( r2_hidden(k4_tarski(sK330(X0,X1,X6),X6),X0)
                    & r2_hidden(sK330(X0,X1,X6),X1) )
                  | ~ r2_hidden(X6,X2) ) )
            | k9_relat_1(X0,X1) != X2 ) )
      | ~ v1_relat_1(X0) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK328,sK329,sK330]),skolemize(X3,sK328(X0,X1,X2)),skolemize(X5,sK329(X0,X1,X2)),skolemize(X8,sK330(X0,X1,X6))],[f10265]) ).

fof(f12138,plain,
    ! [X0,X1,X2,X3] :
      ( ( ( r2_hidden(X0,a_3_0_relset_2(X1,X2,X3))
          | ! [X4] :
              ( ~ m1_subset_1(X4,k1_zfmisc_1(X1))
              | k9_relat_1(X3,X4) != X0
              | ~ r2_hidden(X4,X2) ) )
        & ( ? [X4] :
              ( m1_subset_1(X4,k1_zfmisc_1(X1))
              & X0 = k9_relat_1(X3,X4)
              & r2_hidden(X4,X2) )
          | ~ r2_hidden(X0,a_3_0_relset_2(X1,X2,X3)) ) )
      | ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X1)))
      | ~ v1_relat_1(X3) ),
    inference(nnf_transformation,[],[f9683]) ).

fof(f12139,plain,
    ! [X0,X1,X2,X3] :
      ( ( ( r2_hidden(X0,a_3_0_relset_2(X1,X2,X3))
          | ! [X4] :
              ( ~ m1_subset_1(X4,k1_zfmisc_1(X1))
              | k9_relat_1(X3,X4) != X0
              | ~ r2_hidden(X4,X2) ) )
        & ( ? [X5] :
              ( m1_subset_1(X5,k1_zfmisc_1(X1))
              & k9_relat_1(X3,X5) = X0
              & r2_hidden(X5,X2) )
          | ~ r2_hidden(X0,a_3_0_relset_2(X1,X2,X3)) ) )
      | ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X1)))
      | ~ v1_relat_1(X3) ),
    inference(rectify,[],[f12138]) ).

fof(f12140,plain,
    ! [X0,X1,X2,X3] :
      ( ( ( r2_hidden(X0,a_3_0_relset_2(X1,X2,X3))
          | ! [X4] :
              ( ~ m1_subset_1(X4,k1_zfmisc_1(X1))
              | k9_relat_1(X3,X4) != X0
              | ~ r2_hidden(X4,X2) ) )
        & ( ( m1_subset_1(sK1505(X0,X1,X2,X3),k1_zfmisc_1(X1))
            & k9_relat_1(X3,sK1505(X0,X1,X2,X3)) = X0
            & r2_hidden(sK1505(X0,X1,X2,X3),X2) )
          | ~ r2_hidden(X0,a_3_0_relset_2(X1,X2,X3)) ) )
      | ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X1)))
      | ~ v1_relat_1(X3) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK1505]),skolemize(X5,sK1505(X0,X1,X2,X3))],[f12139]) ).

fof(f12147,plain,
    ( k9_relat_1(sK1509,k5_setfam_1(sK1507,sK1508)) != k3_tarski(a_3_0_relset_2(sK1507,sK1508,sK1509))
    & v1_relat_1(sK1509)
    & m1_subset_1(sK1508,k1_zfmisc_1(k1_zfmisc_1(sK1507))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK1507,sK1508,sK1509]),skolemize(X0,sK1507),skolemize(X1,sK1508),skolemize(X2,sK1509)],[f9718]) ).

fof(f12162,plain,
    ! [X0,X1] :
      ( r2_hidden(sK180(X0,X1),X0)
      | r1_tarski(X0,X1) ),
    inference(cnf_transformation,[],[f10001]) ).

fof(f12163,plain,
    ! [X0,X1] :
      ( ~ r2_hidden(sK180(X0,X1),X1)
      | r1_tarski(X0,X1) ),
    inference(cnf_transformation,[],[f10001]) ).

fof(f12164,plain,
    ! [X0,X1,X5] :
      ( r2_hidden(sK183(X0,X5),X0)
      | ~ r2_hidden(X5,X1)
      | k3_tarski(X0) != X1 ),
    inference(cnf_transformation,[],[f10004]) ).

fof(f12165,plain,
    ! [X0,X1,X5] :
      ( r2_hidden(X5,sK183(X0,X5))
      | ~ r2_hidden(X5,X1)
      | k3_tarski(X0) != X1 ),
    inference(cnf_transformation,[],[f10004]) ).

fof(f12166,plain,
    ! [X0,X1,X6,X5] :
      ( r2_hidden(X5,X1)
      | ~ r2_hidden(X5,X6)
      | ~ r2_hidden(X6,X0)
      | k3_tarski(X0) != X1 ),
    inference(cnf_transformation,[],[f10004]) ).

fof(f12230,plain,
    ! [X0,X1] :
      ( ~ r1_tarski(X1,X0)
      | ~ r1_tarski(X0,X1)
      | X0 = X1 ),
    inference(cnf_transformation,[],[f10038]) ).

fof(f12533,plain,
    ! [X0,X1] :
      ( r1_tarski(X0,k3_tarski(X1))
      | ~ r2_hidden(X0,X1) ),
    inference(cnf_transformation,[],[f4824]) ).

fof(f12535,plain,
    ! [X0,X1] :
      ( r2_hidden(sK218(X0,X1),X0)
      | r1_tarski(k3_tarski(X0),X1) ),
    inference(cnf_transformation,[],[f10089]) ).

fof(f12536,plain,
    ! [X0,X1] :
      ( ~ r1_tarski(sK218(X0,X1),X1)
      | r1_tarski(k3_tarski(X0),X1) ),
    inference(cnf_transformation,[],[f10089]) ).

fof(f12895,plain,
    ! [X0,X1] :
      ( ~ m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0)))
      | k3_tarski(X1) = k5_setfam_1(X0,X1) ),
    inference(cnf_transformation,[],[f5066]) ).

fof(f12905,plain,
    ! [X2,X0,X1] :
      ( ~ m1_subset_1(X1,k1_zfmisc_1(X2))
      | ~ r2_hidden(X0,X1)
      | m1_subset_1(X0,X2) ),
    inference(cnf_transformation,[],[f5076]) ).

fof(f13123,plain,
    ! [X2,X0,X1,X6] :
      ( r2_hidden(sK330(X0,X1,X6),X1)
      | ~ r2_hidden(X6,X2)
      | k9_relat_1(X0,X1) != X2
      | ~ v1_relat_1(X0) ),
    inference(cnf_transformation,[],[f10266]) ).

fof(f13124,plain,
    ! [X2,X0,X1,X6] :
      ( r2_hidden(k4_tarski(sK330(X0,X1,X6),X6),X0)
      | ~ r2_hidden(X6,X2)
      | k9_relat_1(X0,X1) != X2
      | ~ v1_relat_1(X0) ),
    inference(cnf_transformation,[],[f10266]) ).

fof(f13125,plain,
    ! [X2,X0,X1,X6,X7] :
      ( r2_hidden(X6,X2)
      | ~ r2_hidden(k4_tarski(X7,X6),X0)
      | ~ r2_hidden(X7,X1)
      | k9_relat_1(X0,X1) != X2
      | ~ v1_relat_1(X0) ),
    inference(cnf_transformation,[],[f10266]) ).

fof(f13146,plain,
    ! [X2,X0,X1] :
      ( r1_tarski(k9_relat_1(X2,X0),k9_relat_1(X2,X1))
      | ~ r1_tarski(X0,X1)
      | ~ v1_relat_1(X2) ),
    inference(cnf_transformation,[],[f5266]) ).

fof(f20268,plain,
    ! [X2,X3,X0,X1] :
      ( r2_hidden(sK1505(X0,X1,X2,X3),X2)
      | ~ r2_hidden(X0,a_3_0_relset_2(X1,X2,X3))
      | ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X1)))
      | ~ v1_relat_1(X3) ),
    inference(cnf_transformation,[],[f12140]) ).

fof(f20269,plain,
    ! [X2,X3,X0,X1] :
      ( ~ r2_hidden(X0,a_3_0_relset_2(X1,X2,X3))
      | k9_relat_1(X3,sK1505(X0,X1,X2,X3)) = X0
      | ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X1)))
      | ~ v1_relat_1(X3) ),
    inference(cnf_transformation,[],[f12140]) ).

fof(f20271,plain,
    ! [X2,X3,X0,X1,X4] :
      ( r2_hidden(X0,a_3_0_relset_2(X1,X2,X3))
      | ~ m1_subset_1(X4,k1_zfmisc_1(X1))
      | k9_relat_1(X3,X4) != X0
      | ~ r2_hidden(X4,X2)
      | ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X1)))
      | ~ v1_relat_1(X3) ),
    inference(cnf_transformation,[],[f12140]) ).

fof(f20310,plain,
    m1_subset_1(sK1508,k1_zfmisc_1(k1_zfmisc_1(sK1507))),
    inference(cnf_transformation,[],[f12147]) ).

fof(f20311,plain,
    v1_relat_1(sK1509),
    inference(cnf_transformation,[],[f12147]) ).

fof(f20312,plain,
    k9_relat_1(sK1509,k5_setfam_1(sK1507,sK1508)) != k3_tarski(a_3_0_relset_2(sK1507,sK1508,sK1509)),
    inference(cnf_transformation,[],[f12147]) ).

fof(f22274,plain,
    ! [X0,X6,X5] :
      ( ~ r2_hidden(X6,X0)
      | ~ r2_hidden(X5,X6)
      | r2_hidden(X5,k3_tarski(X0)) ),
    inference(equality_resolution,[],[f12166]) ).

fof(f22275,plain,
    ! [X0,X5] :
      ( r2_hidden(X5,sK183(X0,X5))
      | ~ r2_hidden(X5,k3_tarski(X0)) ),
    inference(equality_resolution,[],[f12165]) ).

fof(f22276,plain,
    ! [X0,X5] :
      ( r2_hidden(sK183(X0,X5),X0)
      | ~ r2_hidden(X5,k3_tarski(X0)) ),
    inference(equality_resolution,[],[f12164]) ).

fof(f22378,plain,
    ! [X0,X1,X6,X7] :
      ( ~ r2_hidden(k4_tarski(X7,X6),X0)
      | r2_hidden(X6,k9_relat_1(X0,X1))
      | ~ r2_hidden(X7,X1)
      | ~ v1_relat_1(X0) ),
    inference(equality_resolution,[],[f13125]) ).

fof(f22379,plain,
    ! [X0,X1,X6] :
      ( r2_hidden(k4_tarski(sK330(X0,X1,X6),X6),X0)
      | ~ r2_hidden(X6,k9_relat_1(X0,X1))
      | ~ v1_relat_1(X0) ),
    inference(equality_resolution,[],[f13124]) ).

fof(f22380,plain,
    ! [X0,X1,X6] :
      ( r2_hidden(sK330(X0,X1,X6),X1)
      | ~ r2_hidden(X6,k9_relat_1(X0,X1))
      | ~ v1_relat_1(X0) ),
    inference(equality_resolution,[],[f13123]) ).

fof(f23178,plain,
    ! [X2,X3,X1,X4] :
      ( r2_hidden(k9_relat_1(X3,X4),a_3_0_relset_2(X1,X2,X3))
      | ~ m1_subset_1(X4,k1_zfmisc_1(X1))
      | ~ r2_hidden(X4,X2)
      | ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X1)))
      | ~ v1_relat_1(X3) ),
    inference(equality_resolution,[],[f20271]) ).

fof(f23181,definition,
    sF1510 = k5_setfam_1(sK1507,sK1508),
    introduced(definition,[new_symbols(definition,[sF1510])],[function_definition]) ).

fof(f23182,plain,
    k5_setfam_1(sK1507,sK1508) = sF1510,
    inference(reorient_equations,[],[f23181]) ).

fof(f23183,definition,
    sF1511 = k9_relat_1(sK1509,sF1510),
    introduced(definition,[new_symbols(definition,[sF1511])],[function_definition]) ).

fof(f23184,plain,
    k9_relat_1(sK1509,sF1510) = sF1511,
    inference(reorient_equations,[],[f23183]) ).

fof(f23185,definition,
    sF1512 = a_3_0_relset_2(sK1507,sK1508,sK1509),
    introduced(definition,[new_symbols(definition,[sF1512])],[function_definition]) ).

fof(f23186,plain,
    a_3_0_relset_2(sK1507,sK1508,sK1509) = sF1512,
    inference(reorient_equations,[],[f23185]) ).

fof(f23187,definition,
    sF1513 = k3_tarski(sF1512),
    introduced(definition,[new_symbols(definition,[sF1513])],[function_definition]) ).

fof(f23188,plain,
    k3_tarski(sF1512) = sF1513,
    inference(reorient_equations,[],[f23187]) ).

fof(f23189,plain,
    sF1511 != sF1513,
    inference(definition_folding,[],[f20312,f23188,f23186,f23184,f23182]) ).

fof(f23190,definition,
    sF1514 = k1_zfmisc_1(sK1507),
    introduced(definition,[new_symbols(definition,[sF1514])],[function_definition]) ).

fof(f23191,plain,
    k1_zfmisc_1(sK1507) = sF1514,
    inference(reorient_equations,[],[f23190]) ).

fof(f23192,definition,
    sF1515 = k1_zfmisc_1(sF1514),
    introduced(definition,[new_symbols(definition,[sF1515])],[function_definition]) ).

fof(f23193,plain,
    k1_zfmisc_1(sF1514) = sF1515,
    inference(reorient_equations,[],[f23192]) ).

fof(f23194,plain,
    m1_subset_1(sK1508,sF1515),
    inference(definition_folding,[],[f20310,f23193,f23191]) ).

fof(f26841,plain,
    ! [X0] :
      ( ~ m1_subset_1(X0,k1_zfmisc_1(sF1514))
      | k3_tarski(X0) = k5_setfam_1(sK1507,X0) ),
    inference(superposition,[],[f12895,f23191]) ).

fof(f26842,plain,
    ! [X0] :
      ( ~ m1_subset_1(X0,sF1515)
      | k3_tarski(X0) = k5_setfam_1(sK1507,X0) ),
    inference(forward_demodulation,[],[f26841,f23193]) ).

fof(f26847,plain,
    k5_setfam_1(sK1507,sK1508) = k3_tarski(sK1508),
    inference(resolution,[],[f26842,f23194]) ).

fof(f26848,plain,
    sF1510 = k3_tarski(sK1508),
    inference(forward_demodulation,[],[f26847,f23182]) ).

fof(f26869,plain,
    ! [X0] :
      ( ~ r2_hidden(X0,sF1512)
      | k9_relat_1(sK1509,sK1505(X0,sK1507,sK1508,sK1509)) = X0
      | ~ m1_subset_1(sK1508,k1_zfmisc_1(k1_zfmisc_1(sK1507)))
      | ~ v1_relat_1(sK1509) ),
    inference(superposition,[],[f20269,f23186]) ).

fof(f26870,plain,
    ! [X0] :
      ( ~ r2_hidden(X0,sF1512)
      | k9_relat_1(sK1509,sK1505(X0,sK1507,sK1508,sK1509)) = X0
      | ~ m1_subset_1(sK1508,k1_zfmisc_1(k1_zfmisc_1(sK1507))) ),
    inference(forward_subsumption_resolution,[],[f26869,f20311]) ).

fof(f26871,plain,
    ! [X0] :
      ( ~ m1_subset_1(sK1508,k1_zfmisc_1(sF1514))
      | ~ r2_hidden(X0,sF1512)
      | k9_relat_1(sK1509,sK1505(X0,sK1507,sK1508,sK1509)) = X0 ),
    inference(forward_demodulation,[],[f26870,f23191]) ).

fof(f26872,plain,
    ! [X0] :
      ( ~ m1_subset_1(sK1508,sF1515)
      | ~ r2_hidden(X0,sF1512)
      | k9_relat_1(sK1509,sK1505(X0,sK1507,sK1508,sK1509)) = X0 ),
    inference(forward_demodulation,[],[f26871,f23193]) ).

fof(f26873,plain,
    ! [X0] :
      ( ~ r2_hidden(X0,sF1512)
      | k9_relat_1(sK1509,sK1505(X0,sK1507,sK1508,sK1509)) = X0 ),
    inference(forward_subsumption_resolution,[],[f26872,f23194]) ).

fof(f26879,plain,
    ! [X0] :
      ( r2_hidden(k9_relat_1(sK1509,X0),sF1512)
      | ~ m1_subset_1(X0,k1_zfmisc_1(sK1507))
      | ~ r2_hidden(X0,sK1508)
      | ~ m1_subset_1(sK1508,k1_zfmisc_1(k1_zfmisc_1(sK1507)))
      | ~ v1_relat_1(sK1509) ),
    inference(superposition,[],[f23178,f23186]) ).

fof(f26881,plain,
    ! [X0] :
      ( r2_hidden(k9_relat_1(sK1509,X0),sF1512)
      | ~ r2_hidden(X0,sK1508)
      | ~ m1_subset_1(sK1508,k1_zfmisc_1(k1_zfmisc_1(sK1507)))
      | ~ v1_relat_1(sK1509) ),
    inference(forward_subsumption_resolution,[],[f26879,f12905]) ).

fof(f26885,plain,
    ! [X0] :
      ( r2_hidden(k9_relat_1(sK1509,X0),sF1512)
      | ~ r2_hidden(X0,sK1508)
      | ~ m1_subset_1(sK1508,k1_zfmisc_1(k1_zfmisc_1(sK1507))) ),
    inference(forward_subsumption_resolution,[],[f26881,f20311]) ).

fof(f26888,plain,
    ! [X0] :
      ( ~ m1_subset_1(sK1508,k1_zfmisc_1(sF1514))
      | r2_hidden(k9_relat_1(sK1509,X0),sF1512)
      | ~ r2_hidden(X0,sK1508) ),
    inference(forward_demodulation,[],[f26885,f23191]) ).

fof(f26889,plain,
    ! [X0] :
      ( ~ m1_subset_1(sK1508,sF1515)
      | r2_hidden(k9_relat_1(sK1509,X0),sF1512)
      | ~ r2_hidden(X0,sK1508) ),
    inference(forward_demodulation,[],[f26888,f23193]) ).

fof(f26890,plain,
    ! [X0] :
      ( r2_hidden(k9_relat_1(sK1509,X0),sF1512)
      | ~ r2_hidden(X0,sK1508) ),
    inference(forward_subsumption_resolution,[],[f26889,f23194]) ).

fof(f27644,plain,
    ! [X0,X1] :
      ( ~ r2_hidden(X0,k9_relat_1(sK1509,X1))
      | r2_hidden(X0,k3_tarski(sF1512))
      | ~ r2_hidden(X1,sK1508) ),
    inference(resolution,[],[f22274,f26890]) ).

fof(f27654,plain,
    ! [X0,X1] :
      ( ~ r2_hidden(X0,k9_relat_1(sK1509,X1))
      | r2_hidden(X0,sF1513)
      | ~ r2_hidden(X1,sK1508) ),
    inference(forward_demodulation,[],[f27644,f23188]) ).

fof(f27858,plain,
    ! [X0] :
      ( r1_tarski(k3_tarski(sF1512),X0)
      | sK218(sF1512,X0) = k9_relat_1(sK1509,sK1505(sK218(sF1512,X0),sK1507,sK1508,sK1509)) ),
    inference(resolution,[],[f12535,f26873]) ).

fof(f27861,plain,
    ! [X0] :
      ( r1_tarski(sF1513,X0)
      | sK218(sF1512,X0) = k9_relat_1(sK1509,sK1505(sK218(sF1512,X0),sK1507,sK1508,sK1509)) ),
    inference(forward_demodulation,[],[f27858,f23188]) ).

fof(f28341,plain,
    ! [X0] :
      ( ~ r1_tarski(X0,sF1513)
      | sK218(sF1512,X0) = k9_relat_1(sK1509,sK1505(sK218(sF1512,X0),sK1507,sK1508,sK1509))
      | sF1513 = X0 ),
    inference(resolution,[],[f27861,f12230]) ).

fof(f28672,plain,
    ! [X0] :
      ( ~ r2_hidden(X0,sK1508)
      | r1_tarski(X0,sF1510) ),
    inference(superposition,[],[f12533,f26848]) ).

fof(f28780,plain,
    ! [X2,X0,X1] :
      ( r1_tarski(sK1505(X0,X1,sK1508,X2),sF1510)
      | ~ r2_hidden(X0,a_3_0_relset_2(X1,sK1508,X2))
      | ~ m1_subset_1(sK1508,k1_zfmisc_1(k1_zfmisc_1(X1)))
      | ~ v1_relat_1(X2) ),
    inference(resolution,[],[f28672,f20268]) ).

fof(f28827,definition,
    ( spl1516_618
  <=> r1_tarski(sF1511,sF1513) ),
    introduced(definition,[new_symbols(definition,[spl1516_618])],[avatar_definition]) ).

fof(f28828,plain,
    ( ~ r1_tarski(sF1511,sF1513)
    | spl1516_618 ),
    inference(avatar_component_clause,[],[f28827]) ).

fof(f28829,plain,
    ( r1_tarski(sF1511,sF1513)
    | ~ spl1516_618 ),
    inference(avatar_component_clause,[],[f28827]) ).

fof(f31144,plain,
    ! [X2,X3,X0,X1] :
      ( ~ r2_hidden(X0,k9_relat_1(X1,X2))
      | ~ v1_relat_1(X1)
      | r2_hidden(X0,k9_relat_1(X1,X3))
      | ~ r2_hidden(sK330(X1,X2,X0),X3)
      | ~ v1_relat_1(X1) ),
    inference(resolution,[],[f22379,f22378]) ).

fof(f31174,plain,
    ! [X2,X3,X0,X1] :
      ( ~ r2_hidden(sK330(X1,X2,X0),X3)
      | ~ v1_relat_1(X1)
      | r2_hidden(X0,k9_relat_1(X1,X3))
      | ~ r2_hidden(X0,k9_relat_1(X1,X2)) ),
    inference(duplicate_literal_removal,[],[f31144]) ).

fof(f32314,plain,
    ! [X2,X3,X0,X1] :
      ( r2_hidden(X1,k9_relat_1(X0,sK183(X2,sK330(X0,X3,X1))))
      | ~ v1_relat_1(X0)
      | ~ r2_hidden(X1,k9_relat_1(X0,X3))
      | ~ r2_hidden(sK330(X0,X3,X1),k3_tarski(X2)) ),
    inference(resolution,[],[f31174,f22275]) ).

fof(f58395,plain,
    ! [X2,X0,X1] :
      ( ~ v1_relat_1(sK1509)
      | ~ r2_hidden(X0,k9_relat_1(sK1509,X1))
      | ~ r2_hidden(sK330(sK1509,X1,X0),k3_tarski(X2))
      | r2_hidden(X0,sF1513)
      | ~ r2_hidden(sK183(X2,sK330(sK1509,X1,X0)),sK1508) ),
    inference(resolution,[],[f32314,f27654]) ).

fof(f58412,plain,
    ! [X2,X0,X1] :
      ( ~ r2_hidden(sK183(X2,sK330(sK1509,X1,X0)),sK1508)
      | ~ r2_hidden(sK330(sK1509,X1,X0),k3_tarski(X2))
      | r2_hidden(X0,sF1513)
      | ~ r2_hidden(X0,k9_relat_1(sK1509,X1)) ),
    inference(forward_subsumption_resolution,[],[f58395,f20311]) ).

fof(f58418,plain,
    ! [X0,X1] :
      ( ~ r2_hidden(sK330(sK1509,X0,X1),k3_tarski(sK1508))
      | r2_hidden(X1,sF1513)
      | ~ r2_hidden(X1,k9_relat_1(sK1509,X0))
      | ~ r2_hidden(sK330(sK1509,X0,X1),k3_tarski(sK1508)) ),
    inference(resolution,[],[f58412,f22276]) ).

fof(f58421,plain,
    ! [X0,X1] :
      ( ~ r2_hidden(sK330(sK1509,X0,X1),k3_tarski(sK1508))
      | r2_hidden(X1,sF1513)
      | ~ r2_hidden(X1,k9_relat_1(sK1509,X0)) ),
    inference(duplicate_literal_removal,[],[f58418]) ).

fof(f58422,plain,
    ! [X0,X1] :
      ( ~ r2_hidden(sK330(sK1509,X0,X1),sF1510)
      | r2_hidden(X1,sF1513)
      | ~ r2_hidden(X1,k9_relat_1(sK1509,X0)) ),
    inference(forward_demodulation,[],[f58421,f26848]) ).

fof(f58423,plain,
    ! [X0] :
      ( r2_hidden(X0,sF1513)
      | ~ r2_hidden(X0,k9_relat_1(sK1509,sF1510))
      | ~ r2_hidden(X0,k9_relat_1(sK1509,sF1510))
      | ~ v1_relat_1(sK1509) ),
    inference(resolution,[],[f58422,f22380]) ).

fof(f58426,plain,
    ! [X0] :
      ( r2_hidden(X0,sF1513)
      | ~ r2_hidden(X0,k9_relat_1(sK1509,sF1510))
      | ~ v1_relat_1(sK1509) ),
    inference(duplicate_literal_removal,[],[f58423]) ).

fof(f58427,plain,
    ! [X0] :
      ( r2_hidden(X0,sF1513)
      | ~ r2_hidden(X0,k9_relat_1(sK1509,sF1510)) ),
    inference(forward_subsumption_resolution,[],[f58426,f20311]) ).

fof(f58428,plain,
    ! [X0] :
      ( ~ r2_hidden(X0,sF1511)
      | r2_hidden(X0,sF1513) ),
    inference(forward_demodulation,[],[f58427,f23184]) ).

fof(f102785,definition,
    ( spl1516_2143
  <=> r1_tarski(sF1513,sF1511) ),
    introduced(definition,[new_symbols(definition,[spl1516_2143])],[avatar_definition]) ).

fof(f102786,plain,
    ( ~ r1_tarski(sF1513,sF1511)
    | spl1516_2143 ),
    inference(avatar_component_clause,[],[f102785]) ).

fof(f102787,plain,
    ( r1_tarski(sF1513,sF1511)
    | ~ spl1516_2143 ),
    inference(avatar_component_clause,[],[f102785]) ).

fof(f102812,definition,
    ( spl1516_2145
  <=> ! [X0] :
        ( r2_hidden(X0,sF1513)
        | ~ r2_hidden(X0,sF1511) ) ),
    introduced(definition,[new_symbols(definition,[spl1516_2145])],[avatar_definition]) ).

fof(f102813,plain,
    ( ! [X0] :
        ( ~ r2_hidden(X0,sF1511)
        | r2_hidden(X0,sF1513) )
    | ~ spl1516_2145 ),
    inference(avatar_component_clause,[],[f102812]) ).

fof(f103095,plain,
    spl1516_2145,
    inference(avatar_split_clause,[],[f58428,f102812]) ).

fof(f103449,plain,
    ( ~ r1_tarski(sF1511,sF1513)
    | sF1511 = sF1513
    | ~ spl1516_2143 ),
    inference(resolution,[],[f102787,f12230]) ).

fof(f103468,plain,
    ( sF1511 = sF1513
    | ~ spl1516_618
    | ~ spl1516_2143 ),
    inference(forward_subsumption_resolution,[],[f103449,f28829]) ).

fof(f103471,plain,
    ( $false
    | ~ spl1516_618
    | ~ spl1516_2143 ),
    inference(forward_subsumption_resolution,[],[f103468,f23189]) ).

fof(f103472,plain,
    ( ~ spl1516_618
    | ~ spl1516_2143 ),
    inference(avatar_contradiction_clause,[],[f103471]) ).

fof(f103474,plain,
    ( sK218(sF1512,sF1511) = k9_relat_1(sK1509,sK1505(sK218(sF1512,sF1511),sK1507,sK1508,sK1509))
    | sF1511 = sF1513
    | ~ spl1516_618 ),
    inference(resolution,[],[f28829,f28341]) ).

fof(f103493,plain,
    ( sK218(sF1512,sF1511) = k9_relat_1(sK1509,sK1505(sK218(sF1512,sF1511),sK1507,sK1508,sK1509))
    | ~ spl1516_618 ),
    inference(forward_subsumption_resolution,[],[f103474,f23189]) ).

fof(f103587,plain,
    ( ! [X0] :
        ( r2_hidden(sK180(sF1511,X0),sF1513)
        | r1_tarski(sF1511,X0) )
    | ~ spl1516_2145 ),
    inference(resolution,[],[f102813,f12162]) ).

fof(f103609,plain,
    ( r1_tarski(sF1511,sF1513)
    | r1_tarski(sF1511,sF1513)
    | ~ spl1516_2145 ),
    inference(resolution,[],[f103587,f12163]) ).

fof(f103621,plain,
    ( r1_tarski(sF1511,sF1513)
    | ~ spl1516_2145 ),
    inference(duplicate_literal_removal,[],[f103609]) ).

fof(f106489,plain,
    ( ! [X0] :
        ( r1_tarski(sK218(sF1512,sF1511),k9_relat_1(sK1509,X0))
        | ~ r1_tarski(sK1505(sK218(sF1512,sF1511),sK1507,sK1508,sK1509),X0)
        | ~ v1_relat_1(sK1509) )
    | ~ spl1516_618 ),
    inference(superposition,[],[f13146,f103493]) ).

fof(f106547,plain,
    ( ! [X0] :
        ( ~ r1_tarski(sK1505(sK218(sF1512,sF1511),sK1507,sK1508,sK1509),X0)
        | r1_tarski(sK218(sF1512,sF1511),k9_relat_1(sK1509,X0)) )
    | ~ spl1516_618 ),
    inference(forward_subsumption_resolution,[],[f106489,f20311]) ).

fof(f106659,definition,
    ( spl1516_2312
  <=> r1_tarski(sK218(sF1512,sF1511),sF1511) ),
    introduced(definition,[new_symbols(definition,[spl1516_2312])],[avatar_definition]) ).

fof(f106660,plain,
    ( r1_tarski(sK218(sF1512,sF1511),sF1511)
    | ~ spl1516_2312 ),
    inference(avatar_component_clause,[],[f106659]) ).

fof(f106669,definition,
    ( spl1516_2314
  <=> r2_hidden(sK218(sF1512,sF1511),sF1512) ),
    introduced(definition,[new_symbols(definition,[spl1516_2314])],[avatar_definition]) ).

fof(f106670,plain,
    ( ~ r2_hidden(sK218(sF1512,sF1511),sF1512)
    | spl1516_2314 ),
    inference(avatar_component_clause,[],[f106669]) ).

fof(f144022,plain,
    ( r1_tarski(sK218(sF1512,sF1511),k9_relat_1(sK1509,sF1510))
    | ~ r2_hidden(sK218(sF1512,sF1511),a_3_0_relset_2(sK1507,sK1508,sK1509))
    | ~ m1_subset_1(sK1508,k1_zfmisc_1(k1_zfmisc_1(sK1507)))
    | ~ v1_relat_1(sK1509)
    | ~ spl1516_618 ),
    inference(resolution,[],[f106547,f28780]) ).

fof(f144069,plain,
    ( r1_tarski(sK218(sF1512,sF1511),k9_relat_1(sK1509,sF1510))
    | ~ r2_hidden(sK218(sF1512,sF1511),a_3_0_relset_2(sK1507,sK1508,sK1509))
    | ~ m1_subset_1(sK1508,k1_zfmisc_1(k1_zfmisc_1(sK1507)))
    | ~ spl1516_618 ),
    inference(forward_subsumption_resolution,[],[f144022,f20311]) ).

fof(f144097,plain,
    ( r1_tarski(sK218(sF1512,sF1511),sF1511)
    | ~ r2_hidden(sK218(sF1512,sF1511),a_3_0_relset_2(sK1507,sK1508,sK1509))
    | ~ m1_subset_1(sK1508,k1_zfmisc_1(k1_zfmisc_1(sK1507)))
    | ~ spl1516_618 ),
    inference(forward_demodulation,[],[f144069,f23184]) ).

fof(f144108,plain,
    ( ~ r2_hidden(sK218(sF1512,sF1511),sF1512)
    | r1_tarski(sK218(sF1512,sF1511),sF1511)
    | ~ m1_subset_1(sK1508,k1_zfmisc_1(k1_zfmisc_1(sK1507)))
    | ~ spl1516_618 ),
    inference(forward_demodulation,[],[f144097,f23186]) ).

fof(f144110,plain,
    ( ~ m1_subset_1(sK1508,k1_zfmisc_1(sF1514))
    | ~ r2_hidden(sK218(sF1512,sF1511),sF1512)
    | r1_tarski(sK218(sF1512,sF1511),sF1511)
    | ~ spl1516_618 ),
    inference(forward_demodulation,[],[f144108,f23191]) ).

fof(f144112,plain,
    ( ~ m1_subset_1(sK1508,sF1515)
    | ~ r2_hidden(sK218(sF1512,sF1511),sF1512)
    | r1_tarski(sK218(sF1512,sF1511),sF1511)
    | ~ spl1516_618 ),
    inference(forward_demodulation,[],[f144110,f23193]) ).

fof(f144118,plain,
    ( ~ r2_hidden(sK218(sF1512,sF1511),sF1512)
    | r1_tarski(sK218(sF1512,sF1511),sF1511)
    | ~ spl1516_618 ),
    inference(forward_subsumption_resolution,[],[f144112,f23194]) ).

fof(f144119,plain,
    ( spl1516_2312
    | ~ spl1516_2314
    | ~ spl1516_618 ),
    inference(avatar_split_clause,[],[f144118,f28827,f106669,f106659]) ).

fof(f144120,plain,
    ( r1_tarski(k3_tarski(sF1512),sF1511)
    | spl1516_2314 ),
    inference(resolution,[],[f106670,f12535]) ).

fof(f144128,plain,
    ( r1_tarski(sF1513,sF1511)
    | spl1516_2314 ),
    inference(forward_demodulation,[],[f144120,f23188]) ).

fof(f144129,plain,
    ( $false
    | spl1516_2143
    | spl1516_2314 ),
    inference(forward_subsumption_resolution,[],[f144128,f102786]) ).

fof(f144130,plain,
    ( spl1516_2143
    | spl1516_2314 ),
    inference(avatar_contradiction_clause,[],[f144129]) ).

fof(f144223,plain,
    ( r1_tarski(k3_tarski(sF1512),sF1511)
    | ~ spl1516_2312 ),
    inference(resolution,[],[f106660,f12536]) ).

fof(f144252,plain,
    ( r1_tarski(sF1513,sF1511)
    | ~ spl1516_2312 ),
    inference(forward_demodulation,[],[f144223,f23188]) ).

fof(f144253,plain,
    ( $false
    | spl1516_2143
    | ~ spl1516_2312 ),
    inference(forward_subsumption_resolution,[],[f144252,f102786]) ).

fof(f144254,plain,
    ( spl1516_2143
    | ~ spl1516_2312 ),
    inference(avatar_contradiction_clause,[],[f144253]) ).

fof(f144255,plain,
    ( $false
    | spl1516_618
    | ~ spl1516_2145 ),
    inference(forward_subsumption_resolution,[],[f103621,f28828]) ).

fof(f144256,plain,
    ( spl1516_618
    | ~ spl1516_2145 ),
    inference(avatar_contradiction_clause,[],[f144255]) ).

cnf(s2422,plain,
    spl1516_2145,
    inference(sat_conversion,[],[f103095]) ).

cnf(s2474,plain,
    ( ~ spl1516_618
    | ~ spl1516_2143 ),
    inference(sat_conversion,[],[f103472]) ).

cnf(s3757,plain,
    ( ~ spl1516_618
    | spl1516_2312
    | ~ spl1516_2314 ),
    inference(sat_conversion,[],[f144119]) ).

cnf(s3758,plain,
    ( spl1516_2143
    | spl1516_2314 ),
    inference(sat_conversion,[],[f144130]) ).

cnf(s3772,plain,
    ( spl1516_2143
    | ~ spl1516_2312 ),
    inference(sat_conversion,[],[f144254]) ).

cnf(s3773,plain,
    ( spl1516_618
    | ~ spl1516_2145 ),
    inference(sat_conversion,[],[f144256]) ).

cnf(s3788,plain,
    spl1516_618,
    inference(rat,[],[s3773,s2422]) ).

cnf(s3789,plain,
    ~ spl1516_2143,
    inference(rat,[],[s2474,s3788]) ).

cnf(s3790,plain,
    ~ spl1516_2312,
    inference(rat,[],[s3772,s3789]) ).

cnf(s3791,plain,
    spl1516_2314,
    inference(rat,[],[s3758,s3789]) ).

cnf(s3798,plain,
    $false,
    inference(rat,[],[s3757,s3788,s3791,s3790]) ).

fof(f144329,plain,
    $false,
    inference(avatar_sat_refutation,[],[s3798]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SEU421+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.38  % Computer : n007.cluster.edu
% 0.10/0.38  % Model    : x86_64 x86_64
% 0.10/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38  % Memory   : 8046.5625MB
% 0.10/0.38  % OS       : Linux 6.8.0-71-generic
% 0.10/0.38  % CPULimit : 300
% 0.10/0.38  % WCLimit  : 300
% 0.10/0.38  % DateTime : Mon Sep 28 05:16:41 UTC 2026
% 0.10/0.38  % CPUTime  : 
% 0.10/0.38  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.41  Running first-order theorem proving
% 0.10/0.41  Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 14.85/3.05  % (2043195)Detected formulas, will run a generic FOF schedule.
% 14.85/3.05  % (2043202)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=531770514:i=141695:sd=1:nm=32:gsp=on:ss=included_2998 on theBenchmark for (2998ds/141695Mi)
% 14.85/3.05  % (2043204)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3229307464:i=119:av=off:ss=axioms_2998 on theBenchmark for (2998ds/119Mi)
% 14.85/3.05  % (2043201)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=1446652630:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2998 on theBenchmark for (2998ds/134677Mi)
% 14.85/3.05  % (2043200)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=3789693296:i=141193_2998 on theBenchmark for (2998ds/141193Mi)
% 14.85/3.05  % (2043203)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3873682707:i=109:sd=1:ins=1:gsp=on:ss=axioms_2998 on theBenchmark for (2998ds/109Mi)
% 14.85/3.05  % (2043206)dis-21_1_sil=8000:lcm=predicate:random_seed=217267724:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2998 on theBenchmark for (2998ds/129Mi)
% 14.85/3.05  % (2043205)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=515511757:s2a=on:i=139:gtg=position_2998 on theBenchmark for (2998ds/139Mi)
% 14.85/3.05  % (2043204)Instruction limit reached! 
% 14.85/3.05  % (2043204)------------------------------
% 14.85/3.05  % (2043204)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.85/3.05  % (2043204)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.85/3.05  % (2043204)CaDiCaL version: 2.1.3
% 14.85/3.05  % (2043204)Termination reason: Instruction limit
% 14.85/3.05  % (2043204)Termination phase: Saturation
% 14.85/3.05  % (2043204)Time elapsed: 0.079 s
% 14.85/3.05  % (2043204)Peak memory usage: 94 MB
% 14.85/3.05  % (2043204)Instructions burned: 119 (million)
% 14.85/3.05  % (2043203)Instruction limit reached! 
% 14.85/3.05  % (2043203)------------------------------
% 14.85/3.05  % (2043203)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.85/3.05  % (2043203)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.85/3.05  % (2043203)CaDiCaL version: 2.1.3
% 14.85/3.05  % (2043203)Termination reason: Instruction limit
% 14.85/3.05  % (2043203)Termination phase: Saturation
% 14.85/3.05  % (2043203)Time elapsed: 0.073 s
% 14.85/3.05  % (2043203)Peak memory usage: 94 MB
% 14.85/3.05  % (2043203)Instructions burned: 110 (million)
% 14.85/3.05  % (2043205)Instruction limit reached! 
% 14.85/3.05  % (2043205)------------------------------
% 14.85/3.05  % (2043205)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.85/3.05  % (2043205)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.85/3.05  % (2043205)CaDiCaL version: 2.1.3
% 14.85/3.05  % (2043205)Termination reason: Instruction limit
% 14.85/3.05  % (2043205)Termination phase: Preprocessing 3
% 14.85/3.05  % (2043205)Time elapsed: 0.088 s
% 14.85/3.05  % (2043205)Peak memory usage: 94 MB
% 14.85/3.05  % (2043205)Instructions burned: 139 (million)
% 14.85/3.05  % (2043206)Instruction limit reached! 
% 14.85/3.05  % (2043206)------------------------------
% 14.85/3.05  % (2043206)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.85/3.05  % (2043206)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.85/3.05  % (2043206)CaDiCaL version: 2.1.3
% 14.85/3.05  % (2043206)Termination reason: Instruction limit
% 14.85/3.05  % (2043206)Termination phase: Clausification
% 14.85/3.05  % (2043206)Time elapsed: 0.089 s
% 14.85/3.05  % (2043206)Peak memory usage: 95 MB
% 14.85/3.05  % (2043206)Instructions burned: 129 (million)
% 14.85/3.05  % (2043214)lrs+10_1_sil=8000:sp=occurrence:random_seed=3813240653:i=285:sd=3:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/285Mi)
% 14.85/3.05  % (2043215)lrs+10_1_sil=32000:urr=on:br=off:random_seed=653980683:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 14.85/3.05  % (2043216)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2912885427:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 14.85/3.05  % (2043217)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=969768192:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 14.85/3.05  % (2043215)Instruction limit reached! 
% 20.29/3.93  % (2043215)------------------------------
% 20.29/3.93  % (2043215)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.29/3.93  % (2043215)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.29/3.93  % (2043215)CaDiCaL version: 2.1.3
% 20.29/3.93  % (2043215)Termination reason: Instruction limit
% 20.29/3.93  % (2043215)Termination phase: Saturation
% 20.29/3.93  % (2043215)Time elapsed: 0.096 s
% 20.29/3.93  % (2043215)Peak memory usage: 95 MB
% 20.29/3.93  % (2043215)Instructions burned: 158 (million)
% 20.29/3.93  % (2043217)Instruction limit reached! 
% 20.29/3.93  % (2043217)------------------------------
% 20.29/3.93  % (2043217)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.29/3.93  % (2043217)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.29/3.93  % (2043217)CaDiCaL version: 2.1.3
% 20.29/3.93  % (2043217)Termination reason: Instruction limit
% 20.29/3.93  % (2043217)Termination phase: Property scanning
% 20.29/3.93  % (2043217)Time elapsed: 0.138 s
% 20.29/3.93  % (2043217)Peak memory usage: 98 MB
% 20.29/3.93  % (2043217)Instructions burned: 248 (million)
% 20.29/3.93  % (2043214)Instruction limit reached! 
% 20.29/3.93  % (2043214)------------------------------
% 20.29/3.93  % (2043214)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.29/3.93  % (2043214)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.29/3.93  % (2043214)CaDiCaL version: 2.1.3
% 20.29/3.93  % (2043214)Termination reason: Instruction limit
% 20.29/3.93  % (2043214)Termination phase: Saturation
% 20.29/3.93  % (2043214)Time elapsed: 0.191 s
% 20.29/3.93  % (2043214)Peak memory usage: 98 MB
% 20.29/3.93  % (2043214)Instructions burned: 286 (million)
% 20.29/3.93  % (2043222)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2780669779:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2993 on theBenchmark for (2993ds/294Mi)
% 20.29/3.93  % (2043216)Instruction limit reached! 
% 20.29/3.93  % (2043216)------------------------------
% 20.29/3.93  % (2043216)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.29/3.93  % (2043216)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.29/3.93  % (2043216)CaDiCaL version: 2.1.3
% 20.29/3.93  % (2043216)Termination reason: Instruction limit
% 20.29/3.93  % (2043216)Termination phase: Saturation
% 20.29/3.93  % (2043216)Time elapsed: 0.222 s
% 20.29/3.93  % (2043216)Peak memory usage: 97 MB
% 20.29/3.93  % (2043216)Instructions burned: 326 (million)
% 20.29/3.93  % (2043223)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=53630839:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 20.29/3.93  % (2043224)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3619928827:cts=off:i=113:fsr=off:ss=included:sgt=4_2992 on theBenchmark for (2992ds/113Mi)
% 20.29/3.93  % (2043226)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2289355911:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 20.29/3.93  % (2043224)Instruction limit reached! 
% 20.29/3.93  % (2043224)------------------------------
% 20.29/3.93  % (2043224)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.29/3.93  % (2043224)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.29/3.93  % (2043224)CaDiCaL version: 2.1.3
% 20.29/3.93  % (2043224)Termination reason: Instruction limit
% 20.29/3.93  % (2043224)Termination phase: Saturation
% 20.29/3.93  % (2043224)Time elapsed: 0.068 s
% 20.29/3.93  % (2043224)Peak memory usage: 95 MB
% 20.29/3.93  % (2043224)Instructions burned: 114 (million)
% 20.29/3.93  % (2043222)Instruction limit reached! 
% 20.29/3.93  % (2043222)------------------------------
% 20.29/3.93  % (2043222)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.29/3.93  % (2043222)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.29/3.93  % (2043222)CaDiCaL version: 2.1.3
% 20.29/3.93  % (2043222)Termination reason: Instruction limit
% 20.29/3.93  % (2043222)Termination phase: Saturation
% 20.29/3.93  % (2043222)Time elapsed: 0.174 s
% 20.29/3.93  % (2043222)Peak memory usage: 97 MB
% 20.29/3.93  % (2043222)Instructions burned: 295 (million)
% 20.29/3.93  % (2043226)Instruction limit reached! 
% 20.29/3.93  % (2043226)------------------------------
% 20.29/3.93  % (2043226)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.29/3.93  % (2043226)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.29/3.93  % (2043226)CaDiCaL version: 2.1.3
% 20.29/3.93  % (2043226)Termination reason: Instruction limit
% 57.44/9.10  % (2043226)Termination phase: Preprocessing 3
% 57.44/9.10  % (2043226)Time elapsed: 0.085 s
% 57.44/9.10  % (2043226)Peak memory usage: 97 MB
% 57.44/9.10  % (2043226)Instructions burned: 128 (million)
% 57.44/9.10  % (2043230)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3829114766:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2991 on theBenchmark for (2991ds/114Mi)
% 57.44/9.10  % (2043231)lrs+10_1_sil=8000:sp=occurrence:random_seed=2381240336:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2990 on theBenchmark for (2990ds/907Mi)
% 57.44/9.10  % (2043230)Instruction limit reached! 
% 57.44/9.10  % (2043230)------------------------------
% 57.44/9.10  % (2043230)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 57.44/9.10  % (2043230)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 57.44/9.10  % (2043230)CaDiCaL version: 2.1.3
% 57.44/9.10  % (2043230)Termination reason: Instruction limit
% 57.44/9.10  % (2043230)Termination phase: SInE selection
% 57.44/9.10  % (2043230)Time elapsed: 0.054 s
% 57.44/9.10  % (2043230)Peak memory usage: 89 MB
% 57.44/9.10  % (2043230)Instructions burned: 114 (million)
% 57.44/9.10  % (2043232)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3058710750:i=437:sd=1:aac=none:ss=included_2990 on theBenchmark for (2990ds/437Mi)
% 57.44/9.10  % (2043235)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=66561351:i=5202:ss=axioms:sgt=16_2989 on theBenchmark for (2989ds/5202Mi)
% 57.44/9.10  % (2043232)Instruction limit reached! 
% 57.44/9.10  % (2043232)------------------------------
% 57.44/9.10  % (2043232)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 57.44/9.10  % (2043232)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 57.44/9.10  % (2043232)CaDiCaL version: 2.1.3
% 57.44/9.10  % (2043232)Termination reason: Instruction limit
% 57.44/9.10  % (2043232)Termination phase: Saturation
% 57.44/9.10  % (2043232)Time elapsed: 0.282 s
% 57.44/9.10  % (2043232)Peak memory usage: 97 MB
% 57.44/9.10  % (2043232)Instructions burned: 438 (million)
% 57.44/9.10  % (2043238)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=2508082600:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2986 on theBenchmark for (2986ds/134Mi)
% 57.44/9.10  % (2043238)Instruction limit reached! 
% 57.44/9.10  % (2043238)------------------------------
% 57.44/9.10  % (2043238)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 57.44/9.10  % (2043238)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 57.44/9.10  % (2043238)CaDiCaL version: 2.1.3
% 57.44/9.10  % (2043238)Termination reason: Instruction limit
% 57.44/9.10  % (2043238)Termination phase: Saturation
% 57.44/9.10  % (2043238)Time elapsed: 0.084 s
% 57.44/9.10  % (2043238)Peak memory usage: 96 MB
% 57.44/9.10  % (2043238)Instructions burned: 135 (million)
% 57.44/9.10  % (2043231)Instruction limit reached! 
% 57.44/9.10  % (2043231)------------------------------
% 57.44/9.10  % (2043231)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 57.44/9.10  % (2043231)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 57.44/9.10  % (2043231)CaDiCaL version: 2.1.3
% 57.44/9.10  % (2043231)Termination reason: Instruction limit
% 57.44/9.10  % (2043231)Termination phase: Saturation
% 57.44/9.10  % (2043231)Time elapsed: 0.622 s
% 57.44/9.10  % (2043231)Peak memory usage: 107 MB
% 57.44/9.10  % (2043231)Instructions burned: 908 (million)
% 57.44/9.10  % (2043240)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=3346954694:st=8:i=592:sd=3:ep=RST:ss=axioms_2983 on theBenchmark for (2983ds/592Mi)
% 57.44/9.10  % (2043241)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=3717378912:st=3:i=13193:sd=3:ss=axioms_2982 on theBenchmark for (2982ds/13193Mi)
% 57.44/9.10  % (2043240)Instruction limit reached! 
% 57.44/9.10  % (2043240)------------------------------
% 57.44/9.10  % (2043240)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 57.44/9.10  % (2043240)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 57.44/9.10  % (2043240)CaDiCaL version: 2.1.3
% 57.44/9.10  % (2043240)Termination reason: Instruction limit
% 57.44/9.10  % (2043240)Termination phase: Saturation
% 57.44/9.10  % (2043240)Time elapsed: 0.317 s
% 57.44/9.10  % (2043240)Peak memory usage: 106 MB
% 57.44/9.10  % (2043240)Instructions burned: 593 (million)
% 57.44/9.10  % (2043244)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=1900789569:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2979 on theBenchmark for (2979ds/125Mi)
% 85.86/13.06  % (2043244)Instruction limit reached! 
% 85.86/13.06  % (2043244)------------------------------
% 85.86/13.06  % (2043244)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 85.86/13.06  % (2043244)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 85.86/13.06  % (2043244)CaDiCaL version: 2.1.3
% 85.86/13.06  % (2043244)Termination reason: Instruction limit
% 85.86/13.06  % (2043244)Termination phase: General splitting
% 85.86/13.06  % (2043244)Time elapsed: 0.070 s
% 85.86/13.06  % (2043244)Peak memory usage: 92 MB
% 85.86/13.06  % (2043244)Instructions burned: 125 (million)
% 85.86/13.06  % (2043223)Instruction limit reached! 
% 85.86/13.06  % (2043223)------------------------------
% 85.86/13.06  % (2043223)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 85.86/13.06  % (2043223)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 85.86/13.06  % (2043223)CaDiCaL version: 2.1.3
% 85.86/13.06  % (2043223)Termination reason: Instruction limit
% 85.86/13.06  % (2043223)Termination phase: Saturation
% 85.86/13.06  % (2043223)Time elapsed: 1.532 s
% 85.86/13.06  % (2043223)Peak memory usage: 243 MB
% 85.86/13.06  % (2043223)Instructions burned: 2351 (million)
% 85.86/13.06  % (2043246)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=181378327:i=134:gtgl=5:slsql=off:gtg=exists_sym_2977 on theBenchmark for (2977ds/134Mi)
% 85.86/13.06  % (2043246)Instruction limit reached! 
% 85.86/13.06  % (2043246)------------------------------
% 85.86/13.06  % (2043246)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 85.86/13.06  % (2043246)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 85.86/13.06  % (2043246)CaDiCaL version: 2.1.3
% 85.86/13.06  % (2043246)Termination reason: Instruction limit
% 85.86/13.06  % (2043246)Termination phase: Preprocessing 1
% 85.86/13.06  % (2043246)Time elapsed: 0.069 s
% 85.86/13.06  % (2043246)Peak memory usage: 90 MB
% 85.86/13.06  % (2043246)Instructions burned: 134 (million)
% 85.86/13.06  % (2043247)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=1032496597:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2976 on theBenchmark for (2976ds/141Mi)
% 85.86/13.06  % (2043247)Instruction limit reached! 
% 85.86/13.06  % (2043247)------------------------------
% 85.86/13.06  % (2043247)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 85.86/13.06  % (2043247)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 85.86/13.06  % (2043247)CaDiCaL version: 2.1.3
% 85.86/13.06  % (2043247)Termination reason: Instruction limit
% 85.86/13.06  % (2043247)Termination phase: Saturation
% 85.86/13.06  % (2043247)Time elapsed: 0.094 s
% 85.86/13.06  % (2043247)Peak memory usage: 94 MB
% 85.86/13.06  % (2043247)Instructions burned: 142 (million)
% 85.86/13.06  % (2043249)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=1231529332:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2975 on theBenchmark for (2975ds/431Mi)
% 85.86/13.06  % (2043252)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=2793302482:i=6060:aac=none:ins=25_2974 on theBenchmark for (2974ds/6060Mi)
% 85.86/13.06  % (2043249)Instruction limit reached! 
% 85.86/13.06  % (2043249)------------------------------
% 85.86/13.06  % (2043249)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 85.86/13.06  % (2043249)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 85.86/13.06  % (2043249)CaDiCaL version: 2.1.3
% 85.86/13.06  % (2043249)Termination reason: Instruction limit
% 85.86/13.06  % (2043249)Termination phase: Saturation
% 85.86/13.06  % (2043249)Time elapsed: 0.252 s
% 85.86/13.06  % (2043249)Peak memory usage: 97 MB
% 85.86/13.06  % (2043249)Instructions burned: 432 (million)
% 85.86/13.06  % (2043254)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=1538833347:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2971 on theBenchmark for (2971ds/150Mi)
% 85.86/13.06  % (2043254)Instruction limit reached! 
% 85.86/13.06  % (2043254)------------------------------
% 85.86/13.06  % (2043254)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 85.86/13.06  % (2043254)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 85.86/13.06  % (2043254)CaDiCaL version: 2.1.3
% 85.86/13.06  % (2043254)Termination reason: Instruction limit
% 85.86/13.06  % (2043254)Termination phase: Preprocessing 3
% 95.33/16.66  % (2043254)Time elapsed: 0.097 s
% 95.33/16.66  % (2043254)Peak memory usage: 97 MB
% 95.33/16.66  % (2043254)Instructions burned: 152 (million)
% 95.33/16.66  % (2043256)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=2628169290:i=14155:bd=all_2969 on theBenchmark for (2969ds/14155Mi)
% 95.33/16.66  % (2043235)Instruction limit reached! 
% 95.33/16.66  % (2043235)------------------------------
% 95.33/16.66  % (2043235)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 95.33/16.66  % (2043235)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 95.33/16.66  % (2043235)CaDiCaL version: 2.1.3
% 95.33/16.66  % (2043235)Termination reason: Instruction limit
% 95.33/16.66  % (2043235)Termination phase: Saturation
% 95.33/16.66  % (2043235)Time elapsed: 3.142 s
% 95.33/16.66  % (2043235)Peak memory usage: 176 MB
% 95.33/16.66  % (2043235)Instructions burned: 5203 (million)
% 95.33/16.66  % (2043259)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=2163633786:i=667:av=off:fsr=off_2956 on theBenchmark for (2956ds/667Mi)
% 95.33/16.66  % (2043259)Instruction limit reached! 
% 95.33/16.66  % (2043259)------------------------------
% 95.33/16.66  % (2043259)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 95.33/16.66  % (2043259)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 95.33/16.66  % (2043259)CaDiCaL version: 2.1.3
% 95.33/16.66  % (2043259)Termination reason: Instruction limit
% 95.33/16.66  % (2043259)Termination phase: Saturation
% 95.33/16.66  % (2043259)Time elapsed: 0.361 s
% 95.33/16.66  % (2043259)Peak memory usage: 107 MB
% 95.33/16.66  % (2043259)Instructions burned: 667 (million)
% 95.33/16.66  % (2043261)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=1534063406:s2a=on:i=185:s2at=1.8:fdi=4_2951 on theBenchmark for (2951ds/185Mi)
% 95.33/16.66  % (2043261)Instruction limit reached! 
% 95.33/16.66  % (2043261)------------------------------
% 95.33/16.66  % (2043261)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 95.33/16.66  % (2043261)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 95.33/16.66  % (2043261)CaDiCaL version: 2.1.3
% 95.33/16.66  % (2043261)Termination reason: Instruction limit
% 95.33/16.66  % (2043261)Termination phase: NewCNF
% 95.33/16.66  % (2043261)Time elapsed: 0.126 s
% 95.33/16.66  % (2043261)Peak memory usage: 98 MB
% 95.33/16.66  % (2043261)Instructions burned: 187 (million)
% 95.33/16.66  % (2043263)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=2777446422:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2948 on theBenchmark for (2948ds/193Mi)
% 95.33/16.66  % (2043263)Instruction limit reached! 
% 95.33/16.66  % (2043263)------------------------------
% 95.33/16.66  % (2043263)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 95.33/16.66  % (2043263)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 95.33/16.66  % (2043263)CaDiCaL version: 2.1.3
% 95.33/16.66  % (2043263)Termination reason: Instruction limit
% 95.33/16.66  % (2043263)Termination phase: Saturation
% 95.33/16.66  % (2043263)Time elapsed: 0.116 s
% 95.33/16.66  % (2043263)Peak memory usage: 97 MB
% 95.33/16.66  % (2043263)Instructions burned: 193 (million)
% 95.33/16.66  % (2043265)dis+1011_7_sil=8000:sp=occurrence:sos=all:fd=off:random_seed=1786763545:st=5.3:i=4850:sd=4:av=off:sup=off:ss=included:sgt=16_2946 on theBenchmark for (2946ds/4850Mi)
% 95.33/16.66  % (2043252)Instruction limit reached! 
% 95.33/16.66  % (2043252)------------------------------
% 95.33/16.66  % (2043252)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 95.33/16.66  % (2043252)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 95.33/16.66  % (2043252)CaDiCaL version: 2.1.3
% 95.33/16.66  % (2043252)Termination reason: Instruction limit
% 95.33/16.66  % (2043252)Termination phase: Saturation
% 95.33/16.66  % (2043252)Time elapsed: 3.603 s
% 95.33/16.66  % (2043252)Peak memory usage: 255 MB
% 95.33/16.66  % (2043252)Instructions burned: 6060 (million)
% 95.33/16.66  % (2043267)lrs+1011_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:sp=const_frequency:acc=on:urr=on:random_seed=934144053:i=12111:sd=1:ss=included_2936 on theBenchmark for (2936ds/12111Mi)
% 95.33/16.66  % (2043265)Instruction limit reached! 
% 95.33/16.66  % (2043265)------------------------------
% 95.33/16.66  % (2043265)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 95.33/16.66  % (2043265)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 95.33/16.66  % (2043265)CaDiCaL version: 2.1.3
% 95.33/16.66  % (2043265)Termination reason: Instruction limit
% 95.33/16.66  % (2043265)Termination phase: Saturation
% 95.33/16.66  % (2043265)Time elapsed: 2.756 s
% 95.33/16.66  % (2043265)Peak memory usage: 138 MB
% 95.33/16.66  % (2043265)Instructions burned: 4851 (million)
% 95.33/16.66  % (2043269)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=2000460578:i=319:kws=precedence:fsr=off_2917 on theBenchmark for (2917ds/319Mi)
% 95.33/16.66  % (2043269)Instruction limit reached! 
% 95.33/16.66  % (2043269)------------------------------
% 95.33/16.66  % (2043269)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 95.33/16.66  % (2043269)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 95.33/16.66  % (2043269)CaDiCaL version: 2.1.3
% 95.33/16.66  % (2043269)Termination reason: Instruction limit
% 95.33/16.66  % (2043269)Termination phase: Property scanning
% 95.33/16.66  % (2043269)Time elapsed: 0.167 s
% 95.33/16.66  % (2043269)Peak memory usage: 99 MB
% 95.33/16.66  % (2043269)Instructions burned: 321 (million)
% 95.33/16.66  % (2043271)dis+2_1024_sil=8000:sp=reverse_arity:sos=on:lcm=reverse:sac=on:random_seed=1579414166:i=2064:ep=RST_2914 on theBenchmark for (2914ds/2064Mi)
% 95.33/16.66  % (2043271)Instruction limit reached! 
% 95.33/16.66  % (2043271)------------------------------
% 95.33/16.66  % (2043271)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 95.33/16.66  % (2043271)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 95.33/16.66  % (2043271)CaDiCaL version: 2.1.3
% 95.33/16.66  % (2043271)Termination reason: Instruction limit
% 95.33/16.66  % (2043271)Termination phase: Saturation
% 95.33/16.66  % (2043271)Time elapsed: 1.194 s
% 95.33/16.66  % (2043271)Peak memory usage: 128 MB
% 95.33/16.66  % (2043271)Instructions burned: 2065 (million)
% 95.33/16.66  % (2043241)Instruction limit reached! 
% 95.33/16.66  % (2043241)------------------------------
% 95.33/16.66  % (2043241)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 95.33/16.66  % (2043241)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 95.33/16.66  % (2043241)CaDiCaL version: 2.1.3
% 95.33/16.66  % (2043241)Termination reason: Instruction limit
% 95.33/16.66  % (2043241)Termination phase: Saturation
% 95.33/16.66  % (2043241)Time elapsed: 8.061 s
% 95.33/16.66  % (2043241)Peak memory usage: 250 MB
% 95.33/16.66  % (2043241)Instructions burned: 13194 (million)
% 95.33/16.66  % (2043273)dis-1011_128_sil=32000:random_seed=1611252720:i=3706:ep=RST:av=off_2901 on theBenchmark for (2901ds/3706Mi)
% 95.33/16.66  % (2043274)lrs-1002_1_sil=8000:plsq=on:plsqr=32,1:sp=occurrence:sos=on:fs=off:gs=on:newcnf=on:random_seed=3609908051:i=757:sd=2:fsr=off:ss=axioms:sgt=40_2900 on theBenchmark for (2900ds/757Mi)
% 95.33/16.66  % (2043274)Instruction limit reached! 
% 95.33/16.66  % (2043274)------------------------------
% 95.33/16.66  % (2043274)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 95.33/16.66  % (2043274)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 95.33/16.66  % (2043274)CaDiCaL version: 2.1.3
% 95.33/16.66  % (2043274)Termination reason: Instruction limit
% 95.33/16.66  % (2043274)Termination phase: Saturation
% 95.33/16.66  % (2043274)Time elapsed: 0.521 s
% 95.33/16.66  % (2043274)Peak memory usage: 107 MB
% 95.33/16.66  % (2043274)Instructions burned: 757 (million)
% 95.33/16.66  % (2043277)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:sp=occurrence:random_seed=1604575923:i=13913:ss=axioms:sgt=8_2894 on theBenchmark for (2894ds/13913Mi)
% 95.33/16.66  % (2043273)Instruction limit reached! 
% 95.33/16.66  % (2043273)------------------------------
% 95.33/16.66  % (2043273)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 95.33/16.66  % (2043273)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 95.33/16.66  % (2043273)CaDiCaL version: 2.1.3
% 95.33/16.66  % (2043273)Termination reason: Instruction limit
% 95.33/16.66  % (2043273)Termination phase: Saturation
% 95.33/16.66  % (2043273)Time elapsed: 1.999 s
% 95.33/16.66  % (2043273)Peak memory usage: 128 MB
% 95.33/16.66  % (2043273)Instructions burned: 3707 (million)
% 95.33/16.66  % (2043279)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=const_frequency:sos=all:lma=off:random_seed=981098656:i=9925:aac=none_2879 on theBenchmark for (2879ds/9925Mi)
% 95.33/16.66  % (2043256)Instruction limit reached! 
% 95.33/16.66  % (2043256)------------------------------
% 95.33/16.66  % (2043256)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 95.33/16.66  % (2043256)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 95.33/16.66  % (2043256)CaDiCaL version: 2.1.3
% 95.33/16.66  % (2043256)Termination reason: Instruction limit
% 95.33/16.66  % (2043256)Termination phase: Saturation
% 95.33/16.66  % (2043256)Time elapsed: 9.005 s
% 95.33/16.66  % (2043256)Peak memory usage: 259 MB
% 95.33/16.66  % (2043256)Instructions burned: 14157 (million)
% 95.33/16.66  % (2043281)dis-1010_50_to=lpo:sil=32000:sp=arity:sos=on:spb=goal_then_units:urr=ec_only:slsq=on:random_seed=1882345256:i=2479:sd=2:nm=16:fsr=off:ss=axioms_2877 on theBenchmark for (2877ds/2479Mi)
% 95.33/16.66  % (2043281)Instruction limit reached! 
% 95.33/16.66  % (2043281)------------------------------
% 95.33/16.66  % (2043281)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 95.33/16.66  % (2043281)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 95.33/16.66  % (2043281)CaDiCaL version: 2.1.3
% 95.33/16.66  % (2043281)Termination reason: Instruction limit
% 95.33/16.66  % (2043281)Termination phase: Saturation
% 95.33/16.66  % (2043281)Time elapsed: 1.501 s
% 95.33/16.66  % (2043281)Peak memory usage: 110 MB
% 95.33/16.66  % (2043281)Instructions burned: 2479 (million)
% 95.33/16.66  % (2043283)ott+1002_64_sil=16000:sp=const_min:nwc=0.5:random_seed=3595009953:i=440:nm=2:av=off:gtg=exists_all:fdi=8:gsp=on_2861 on theBenchmark for (2861ds/440Mi)
% 95.33/16.66  % (2043283)Instruction limit reached! 
% 95.33/16.66  % (2043283)------------------------------
% 95.33/16.66  % (2043283)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 95.33/16.66  % (2043283)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 95.33/16.66  % (2043283)CaDiCaL version: 2.1.3
% 95.33/16.66  % (2043283)Termination reason: Instruction limit
% 95.33/16.66  % (2043283)Termination phase: Property scanning
% 95.33/16.66  % (2043283)Time elapsed: 0.231 s
% 95.33/16.66  % (2043283)Peak memory usage: 102 MB
% 95.33/16.66  % (2043283)Instructions burned: 441 (million)
% 95.33/16.66  % (2043267)Instruction limit reached! 
% 95.33/16.66  % (2043267)------------------------------
% 95.33/16.66  % (2043267)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 95.33/16.66  % (2043267)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 95.33/16.66  % (2043267)CaDiCaL version: 2.1.3
% 95.33/16.66  % (2043267)Termination reason: Instruction limit
% 95.33/16.66  % (2043267)Termination phase: Saturation
% 95.33/16.66  % (2043267)Time elapsed: 7.814 s
% 95.33/16.66  % (2043267)Peak memory usage: 239 MB
% 95.33/16.66  % (2043267)Instructions burned: 12112 (million)
% 95.33/16.66  % (2043285)dis-1011_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:erd=off:lsd=100:bsr=unit_only:random_seed=475612690:st=1.5:i=11145:s2at=3:sd=3:fsr=off:ss=axioms_2857 on theBenchmark for (2857ds/11145Mi)
% 95.33/16.66  % (2043286)lrs+1002_1_to=lpo:ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=unary_frequency:lcm=reverse:urr=on:bsr=on:random_seed=1120942675:cts=off:i=3034:av=off:er=known:fsd=on_2856 on theBenchmark for (2856ds/3034Mi)
% 95.33/16.66  % (2043200)First to succeed.
% 95.33/16.66  % (2043200)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2043195"
% 95.33/16.66  % (2043200)Refutation found. Thanks to Tanya!
% 95.33/16.66  % SZS status Theorem for theBenchmark
% 95.33/16.66  % SZS output start Proof for theBenchmark
% See solution above
% 111.56/16.86  % (2043200)------------------------------
% 111.56/16.86  % (2043200)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 111.56/16.86  % (2043200)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 111.56/16.86  % (2043200)CaDiCaL version: 2.1.3
% 111.56/16.86  % (2043200)Termination reason: Refutation
% 111.56/16.86  % (2043200)Time elapsed: 15.146 s
% 111.56/16.86  % (2043200)Peak memory usage: 349 MB
% 111.56/16.86  % (2043200)Instructions burned: 23356 (million)
% 111.56/16.86  % (2043200)------------------------------
% 111.56/16.86  % (2043200)------------------------------
% 111.56/16.86  % (2043195)Success in time 15.803 s
% 111.56/16.86  % Vampire exiting
%------------------------------------------------------------------------------