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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : CSR094+5 : TPTP v9.3.1. Bugfixed v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n016.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 09:42:55 AM UTC 2026

% Result   : Theorem 20.10s 4.01s
% Output   : Refutation 21.63s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   81 (  15 unt;   6 def)
%            Number of atoms       :  257 (  35 equ)
%            Maximal formula atoms :   22 (   3 avg)
%            Number of connectives :  287 ( 111   ~; 119   |;  43   &)
%                                         (  10 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   18 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    9 (   7 usr;   6 prp; 0-3 aty)
%            Number of functors    :    9 (   9 usr;   5 con; 0-3 aty)
%            Number of variables   :  178 (   0 sgn 171   !;   7   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f605,axiom,
    ! [X0] : s__instance(X0,s__Entity),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb_SUMO_606) ).

fof(f4670,axiom,
    ! [X0,X1,X2] :
      ( X1 = s__UnionFn(X2,X0)
    <=> ! [X3,X4,X5] :
          ( ( s__instance(X2,s__SetOrClass)
            & s__instance(X1,s__SetOrClass)
            & s__instance(X0,s__SetOrClass) )
         => ( ( s__instance(X3,X2)
              & s__instance(X4,X0)
              & s__instance(X5,X1) )
           => ( s__instance(X3,X1)
              & s__instance(X4,X1)
              & ( s__instance(X5,X2)
                | s__instance(X5,X0) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb_SUMO_4682) ).

fof(f4706,axiom,
    ! [X0] :
      ( s__instance(X0,s__SetOrClass)
     => ( s__instance(X0,s__NullSet)
       => ~ ? [X1] : s__instance(X1,X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb_SUMO_4719) ).

fof(f16750,conjecture,
    s__instance(s__Rover24_1,s__CorpuscularObject),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_from_SUMO_MILO) ).

fof(f16751,negated_conjecture,
    ~ s__instance(s__Rover24_1,s__CorpuscularObject),
    inference(negated_conjecture,[status(cth)],[f16750]) ).

fof(f16764,plain,
    ~ s__instance(s__Rover24_1,s__CorpuscularObject),
    inference(flattening,[],[f16751]) ).

fof(f23162,plain,
    ! [X0,X1,X2] :
      ( X1 = s__UnionFn(X2,X0)
    <=> ! [X3,X4,X5] :
          ( ( s__instance(X3,X1)
            & s__instance(X4,X1)
            & ( s__instance(X5,X2)
              | s__instance(X5,X0) ) )
          | ~ s__instance(X3,X2)
          | ~ s__instance(X4,X0)
          | ~ s__instance(X5,X1)
          | ~ s__instance(X2,s__SetOrClass)
          | ~ s__instance(X1,s__SetOrClass)
          | ~ s__instance(X0,s__SetOrClass) ) ),
    inference(ennf_transformation,[],[f4670]) ).

fof(f23163,plain,
    ! [X0,X1,X2] :
      ( X1 = s__UnionFn(X2,X0)
    <=> ! [X3,X4,X5] :
          ( ( s__instance(X3,X1)
            & s__instance(X4,X1)
            & ( s__instance(X5,X2)
              | s__instance(X5,X0) ) )
          | ~ s__instance(X3,X2)
          | ~ s__instance(X4,X0)
          | ~ s__instance(X5,X1)
          | ~ s__instance(X2,s__SetOrClass)
          | ~ s__instance(X1,s__SetOrClass)
          | ~ s__instance(X0,s__SetOrClass) ) ),
    inference(flattening,[],[f23162]) ).

fof(f23164,plain,
    ! [X0] :
      ( ! [X1] : ~ s__instance(X1,X0)
      | ~ s__instance(X0,s__NullSet)
      | ~ s__instance(X0,s__SetOrClass) ),
    inference(ennf_transformation,[],[f4706]) ).

fof(f23165,plain,
    ! [X0] :
      ( ! [X1] : ~ s__instance(X1,X0)
      | ~ s__instance(X0,s__NullSet)
      | ~ s__instance(X0,s__SetOrClass) ),
    inference(flattening,[],[f23164]) ).

fof(f27150,definition,
    ! [X1,X2,X0] :
      ( sP15(X1,X2,X0)
    <=> ! [X3,X4,X5] :
          ( ( s__instance(X3,X1)
            & s__instance(X4,X1)
            & ( s__instance(X5,X2)
              | s__instance(X5,X0) ) )
          | ~ s__instance(X3,X2)
          | ~ s__instance(X4,X0)
          | ~ s__instance(X5,X1)
          | ~ s__instance(X2,s__SetOrClass)
          | ~ s__instance(X1,s__SetOrClass)
          | ~ s__instance(X0,s__SetOrClass) ) ),
    introduced(definition,[new_symbols(definition,[sP15])],[predicate_definition_introduction]) ).

fof(f27151,plain,
    ! [X0,X1,X2] :
      ( X1 = s__UnionFn(X2,X0)
    <=> sP15(X1,X2,X0) ),
    inference(definition_folding,[],[f23163,f27150]) ).

fof(f27473,plain,
    ! [X1,X2,X0] :
      ( ( sP15(X1,X2,X0)
        | ? [X3,X4,X5] :
            ( ( ~ s__instance(X3,X1)
              | ~ s__instance(X4,X1)
              | ( ~ s__instance(X5,X2)
                & ~ s__instance(X5,X0) ) )
            & s__instance(X3,X2)
            & s__instance(X4,X0)
            & s__instance(X5,X1)
            & s__instance(X2,s__SetOrClass)
            & s__instance(X1,s__SetOrClass)
            & s__instance(X0,s__SetOrClass) ) )
      & ( ! [X3,X4,X5] :
            ( ( s__instance(X3,X1)
              & s__instance(X4,X1)
              & ( s__instance(X5,X2)
                | s__instance(X5,X0) ) )
            | ~ s__instance(X3,X2)
            | ~ s__instance(X4,X0)
            | ~ s__instance(X5,X1)
            | ~ s__instance(X2,s__SetOrClass)
            | ~ s__instance(X1,s__SetOrClass)
            | ~ s__instance(X0,s__SetOrClass) )
        | ~ sP15(X1,X2,X0) ) ),
    inference(nnf_transformation,[],[f27150]) ).

fof(f27474,plain,
    ! [X0,X1,X2] :
      ( ( sP15(X0,X1,X2)
        | ? [X3,X4,X5] :
            ( ( ~ s__instance(X3,X0)
              | ~ s__instance(X4,X0)
              | ( ~ s__instance(X5,X1)
                & ~ s__instance(X5,X2) ) )
            & s__instance(X3,X1)
            & s__instance(X4,X2)
            & s__instance(X5,X0)
            & s__instance(X1,s__SetOrClass)
            & s__instance(X0,s__SetOrClass)
            & s__instance(X2,s__SetOrClass) ) )
      & ( ! [X6,X7,X8] :
            ( ( s__instance(X6,X0)
              & s__instance(X7,X0)
              & ( s__instance(X8,X1)
                | s__instance(X8,X2) ) )
            | ~ s__instance(X6,X1)
            | ~ s__instance(X7,X2)
            | ~ s__instance(X8,X0)
            | ~ s__instance(X1,s__SetOrClass)
            | ~ s__instance(X0,s__SetOrClass)
            | ~ s__instance(X2,s__SetOrClass) )
        | ~ sP15(X0,X1,X2) ) ),
    inference(rectify,[],[f27473]) ).

fof(f27475,plain,
    ! [X0,X1,X2] :
      ( ( sP15(X0,X1,X2)
        | ( ( ~ s__instance(sK225(X0,X1,X2),X0)
            | ~ s__instance(sK226(X0,X1,X2),X0)
            | ( ~ s__instance(sK227(X0,X1,X2),X1)
              & ~ s__instance(sK227(X0,X1,X2),X2) ) )
          & s__instance(sK225(X0,X1,X2),X1)
          & s__instance(sK226(X0,X1,X2),X2)
          & s__instance(sK227(X0,X1,X2),X0)
          & s__instance(X1,s__SetOrClass)
          & s__instance(X0,s__SetOrClass)
          & s__instance(X2,s__SetOrClass) ) )
      & ( ! [X6,X7,X8] :
            ( ( s__instance(X6,X0)
              & s__instance(X7,X0)
              & ( s__instance(X8,X1)
                | s__instance(X8,X2) ) )
            | ~ s__instance(X6,X1)
            | ~ s__instance(X7,X2)
            | ~ s__instance(X8,X0)
            | ~ s__instance(X1,s__SetOrClass)
            | ~ s__instance(X0,s__SetOrClass)
            | ~ s__instance(X2,s__SetOrClass) )
        | ~ sP15(X0,X1,X2) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK225,sK226,sK227]),skolemize(X3,sK225(X0,X1,X2)),skolemize(X4,sK226(X0,X1,X2)),skolemize(X5,sK227(X0,X1,X2))],[f27474]) ).

fof(f27476,plain,
    ! [X0,X1,X2] :
      ( ( X1 = s__UnionFn(X2,X0)
        | ~ sP15(X1,X2,X0) )
      & ( sP15(X1,X2,X0)
        | s__UnionFn(X2,X0) != X1 ) ),
    inference(nnf_transformation,[],[f27151]) ).

fof(f29266,plain,
    ! [X0] : s__instance(X0,s__Entity),
    inference(cnf_transformation,[],[f605]) ).

fof(f33574,plain,
    ! [X2,X0,X1] :
      ( sP15(X0,X1,X2)
      | s__instance(X2,s__SetOrClass) ),
    inference(cnf_transformation,[],[f27475]) ).

fof(f33575,plain,
    ! [X2,X0,X1] :
      ( sP15(X0,X1,X2)
      | s__instance(X0,s__SetOrClass) ),
    inference(cnf_transformation,[],[f27475]) ).

fof(f33576,plain,
    ! [X2,X0,X1] :
      ( sP15(X0,X1,X2)
      | s__instance(X1,s__SetOrClass) ),
    inference(cnf_transformation,[],[f27475]) ).

fof(f33577,plain,
    ! [X2,X0,X1] :
      ( s__instance(sK227(X0,X1,X2),X0)
      | sP15(X0,X1,X2) ),
    inference(cnf_transformation,[],[f27475]) ).

fof(f33578,plain,
    ! [X2,X0,X1] :
      ( s__instance(sK226(X0,X1,X2),X2)
      | sP15(X0,X1,X2) ),
    inference(cnf_transformation,[],[f27475]) ).

fof(f33579,plain,
    ! [X2,X0,X1] :
      ( s__instance(sK225(X0,X1,X2),X1)
      | sP15(X0,X1,X2) ),
    inference(cnf_transformation,[],[f27475]) ).

fof(f33583,plain,
    ! [X2,X0,X1] :
      ( ~ sP15(X1,X2,X0)
      | s__UnionFn(X2,X0) = X1 ),
    inference(cnf_transformation,[],[f27476]) ).

fof(f33619,plain,
    ! [X0,X1] :
      ( ~ s__instance(X1,X0)
      | ~ s__instance(X0,s__NullSet)
      | ~ s__instance(X0,s__SetOrClass) ),
    inference(cnf_transformation,[],[f23165]) ).

fof(f48577,plain,
    ~ s__instance(s__Rover24_1,s__CorpuscularObject),
    inference(cnf_transformation,[],[f16764]) ).

fof(f50192,plain,
    ! [X2,X0,X1] :
      ( ~ s__instance(X0,s__NullSet)
      | ~ s__instance(X0,s__SetOrClass)
      | sP15(X1,X0,X2) ),
    inference(resolution,[],[f33619,f33579]) ).

fof(f50193,plain,
    ! [X2,X0,X1] :
      ( ~ s__instance(X0,s__NullSet)
      | ~ s__instance(X0,s__SetOrClass)
      | sP15(X1,X2,X0) ),
    inference(resolution,[],[f33619,f33578]) ).

fof(f50204,plain,
    ! [X2,X0,X1] :
      ( sP15(X1,X2,X0)
      | ~ s__instance(X0,s__NullSet) ),
    inference(forward_subsumption_resolution,[],[f50193,f33574]) ).

fof(f50205,plain,
    ! [X2,X0,X1] :
      ( sP15(X1,X0,X2)
      | ~ s__instance(X0,s__NullSet) ),
    inference(forward_subsumption_resolution,[],[f50192,f33576]) ).

fof(f50206,plain,
    ! [X2,X0,X1] :
      ( ~ s__instance(X0,s__NullSet)
      | s__UnionFn(X1,X0) = X2 ),
    inference(resolution,[],[f50204,f33583]) ).

fof(f50207,plain,
    ! [X2,X0,X1] :
      ( ~ s__instance(X0,s__NullSet)
      | s__UnionFn(X0,X1) = X2 ),
    inference(resolution,[],[f50205,f33583]) ).

fof(f50208,plain,
    ! [X2,X0,X1] :
      ( sP15(X0,X1,X2)
      | ~ s__instance(X0,s__NullSet)
      | ~ s__instance(X0,s__SetOrClass) ),
    inference(resolution,[],[f33577,f33619]) ).

fof(f50209,plain,
    ! [X2,X0,X1] :
      ( sP15(X0,X1,X2)
      | ~ s__instance(X0,s__NullSet) ),
    inference(forward_subsumption_resolution,[],[f50208,f33575]) ).

fof(f50210,plain,
    ! [X2,X0,X1] :
      ( ~ s__instance(X0,s__NullSet)
      | s__UnionFn(X1,X2) = X0 ),
    inference(resolution,[],[f50209,f33583]) ).

fof(f50211,plain,
    ! [X2,X3,X0,X1] :
      ( sP15(X2,s__NullSet,X3)
      | s__UnionFn(X0,X1) = sK225(X2,s__NullSet,X3) ),
    inference(resolution,[],[f50210,f33579]) ).

fof(f50214,plain,
    ! [X2,X3,X0,X1] :
      ( s__UnionFn(X0,X1) = sK225(X2,s__NullSet,X3)
      | s__UnionFn(s__NullSet,X3) = X2 ),
    inference(resolution,[],[f50211,f33583]) ).

fof(f50217,plain,
    ! [X2,X3,X0,X1] :
      ( s__instance(s__UnionFn(X0,X1),s__NullSet)
      | sP15(X2,s__NullSet,X3)
      | s__UnionFn(s__NullSet,X3) = X2 ),
    inference(superposition,[],[f33579,f50214]) ).

fof(f50219,plain,
    ! [X2,X3,X0,X1] :
      ( s__instance(s__UnionFn(X0,X1),s__NullSet)
      | s__UnionFn(s__NullSet,X3) = X2 ),
    inference(forward_subsumption_resolution,[],[f50217,f33583]) ).

fof(f50221,definition,
    ( spl1514_268
  <=> ! [X4,X5] : s__UnionFn(s__NullSet,X5) = X4 ),
    introduced(definition,[new_symbols(definition,[spl1514_268])],[avatar_definition]) ).

fof(f50222,plain,
    ( ! [X4,X5] : s__UnionFn(s__NullSet,X5) = X4
    | ~ spl1514_268 ),
    inference(avatar_component_clause,[],[f50221]) ).

fof(f50228,definition,
    ( spl1514_270
  <=> ! [X0,X1] : s__instance(s__UnionFn(X0,X1),s__NullSet) ),
    introduced(definition,[new_symbols(definition,[spl1514_270])],[avatar_definition]) ).

fof(f50229,plain,
    ( ! [X0,X1] : s__instance(s__UnionFn(X0,X1),s__NullSet)
    | ~ spl1514_270 ),
    inference(avatar_component_clause,[],[f50228]) ).

fof(f50230,plain,
    ( spl1514_268
    | spl1514_270 ),
    inference(avatar_split_clause,[],[f50219,f50228,f50221]) ).

fof(f50231,plain,
    ( ! [X2,X0] : X0 = X2
    | ~ spl1514_268 ),
    inference(superposition,[],[f50222,f50222]) ).

fof(f50253,plain,
    ( ! [X0,X1] : s__instance(X1,X0)
    | ~ spl1514_268 ),
    inference(superposition,[],[f29266,f50231]) ).

fof(f50254,plain,
    ( ! [X0] : ~ s__instance(s__Rover24_1,X0)
    | ~ spl1514_268 ),
    inference(superposition,[],[f48577,f50231]) ).

fof(f50267,plain,
    ( ! [X0,X1] : ~ s__instance(X0,X1)
    | ~ spl1514_268 ),
    inference(superposition,[],[f50254,f50231]) ).

fof(f50272,plain,
    ( $false
    | ~ spl1514_268 ),
    inference(forward_subsumption_resolution,[],[f50267,f50253]) ).

fof(f50273,plain,
    ~ spl1514_268,
    inference(avatar_contradiction_clause,[],[f50272]) ).

fof(f50311,plain,
    ! [X2,X3,X0,X1] :
      ( sP15(s__NullSet,X1,X2)
      | s__UnionFn(X0,sK227(s__NullSet,X1,X2)) = X3 ),
    inference(resolution,[],[f50206,f33577]) ).

fof(f50312,plain,
    ! [X2,X3,X0,X1] :
      ( s__UnionFn(X0,sK227(s__NullSet,X1,X2)) = X3
      | s__NullSet = s__UnionFn(X1,X2) ),
    inference(resolution,[],[f50311,f33583]) ).

fof(f50314,plain,
    ! [X2,X3,X0,X4] :
      ( X0 = X4
      | s__NullSet = s__UnionFn(X2,X3)
      | s__NullSet = s__UnionFn(X2,X3) ),
    inference(superposition,[],[f50312,f50312]) ).

fof(f50335,plain,
    ! [X2,X3,X0,X4] :
      ( X0 = X4
      | s__NullSet = s__UnionFn(X2,X3) ),
    inference(duplicate_literal_removal,[],[f50314]) ).

fof(f50337,definition,
    ( spl1514_273
  <=> ! [X2,X3] : s__NullSet = s__UnionFn(X2,X3) ),
    introduced(definition,[new_symbols(definition,[spl1514_273])],[avatar_definition]) ).

fof(f50338,plain,
    ( ! [X2,X3] : s__NullSet = s__UnionFn(X2,X3)
    | ~ spl1514_273 ),
    inference(avatar_component_clause,[],[f50337]) ).

fof(f50361,definition,
    ( spl1514_278
  <=> ! [X4,X0] : X0 = X4 ),
    introduced(definition,[new_symbols(definition,[spl1514_278])],[avatar_definition]) ).

fof(f50362,plain,
    ( ! [X0,X4] : X0 = X4
    | ~ spl1514_278 ),
    inference(avatar_component_clause,[],[f50361]) ).

fof(f50363,plain,
    ( spl1514_273
    | spl1514_278 ),
    inference(avatar_split_clause,[],[f50335,f50361,f50337]) ).

fof(f50389,plain,
    ( ! [X2,X3,X0,X1] : s__UnionFn(s__UnionFn(X0,X1),X2) = X3
    | ~ spl1514_270 ),
    inference(resolution,[],[f50207,f50229]) ).

fof(f50396,plain,
    ( ! [X3] : s__NullSet = X3
    | ~ spl1514_270
    | ~ spl1514_273 ),
    inference(forward_demodulation,[],[f50389,f50338]) ).

fof(f50401,definition,
    ( spl1514_280
  <=> ! [X3] : s__NullSet = X3 ),
    introduced(definition,[new_symbols(definition,[spl1514_280])],[avatar_definition]) ).

fof(f50402,plain,
    ( ! [X3] : s__NullSet = X3
    | ~ spl1514_280 ),
    inference(avatar_component_clause,[],[f50401]) ).

fof(f50412,plain,
    ( spl1514_280
    | ~ spl1514_270
    | ~ spl1514_273 ),
    inference(avatar_split_clause,[],[f50396,f50337,f50228,f50401]) ).

fof(f50438,plain,
    ( ! [X0,X1] : s__instance(X1,X0)
    | ~ spl1514_278 ),
    inference(superposition,[],[f29266,f50362]) ).

fof(f50463,plain,
    ( $false
    | ~ spl1514_278 ),
    inference(resolution,[],[f50438,f48577]) ).

fof(f50468,plain,
    ~ spl1514_278,
    inference(avatar_contradiction_clause,[],[f50463]) ).

fof(f50472,plain,
    ( ! [X0,X1] : X0 = X1
    | ~ spl1514_280 ),
    inference(superposition,[],[f50402,f50402]) ).

fof(f50499,plain,
    ( spl1514_278
    | ~ spl1514_280 ),
    inference(avatar_split_clause,[],[f50472,f50401,f50361]) ).

cnf(s173,plain,
    ( spl1514_268
    | spl1514_270 ),
    inference(sat_conversion,[],[f50230]) ).

cnf(s176,plain,
    ~ spl1514_268,
    inference(sat_conversion,[],[f50273]) ).

cnf(s187,plain,
    ( spl1514_273
    | spl1514_278 ),
    inference(sat_conversion,[],[f50363]) ).

cnf(s192,plain,
    ( ~ spl1514_270
    | ~ spl1514_273
    | spl1514_280 ),
    inference(sat_conversion,[],[f50412]) ).

cnf(s193,plain,
    ~ spl1514_278,
    inference(sat_conversion,[],[f50468]) ).

cnf(s197,plain,
    ( spl1514_278
    | ~ spl1514_280 ),
    inference(sat_conversion,[],[f50499]) ).

cnf(s198,plain,
    ~ spl1514_280,
    inference(rat,[],[s197,s193]) ).

cnf(s199,plain,
    ( ~ spl1514_270
    | ~ spl1514_273 ),
    inference(rat,[],[s192,s198]) ).

cnf(s203,plain,
    spl1514_273,
    inference(rat,[],[s187,s193]) ).

cnf(s204,plain,
    ~ spl1514_270,
    inference(rat,[],[s199,s203]) ).

cnf(s208,plain,
    $false,
    inference(rat,[],[s173,s204,s176]) ).

fof(f50500,plain,
    $false,
    inference(avatar_sat_refutation,[],[s208]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : CSR094+5 : TPTP v9.3.1. Bugfixed v7.3.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.19  % Computer : n016.cluster.edu
% 0.08/0.19  % Model    : x86_64 x86_64
% 0.08/0.19  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19  % Memory   : 8046.5625MB
% 0.08/0.19  % OS       : Linux 6.8.0-71-generic
% 0.08/0.19  % CPULimit : 300
% 0.08/0.19  % WCLimit  : 300
% 0.08/0.19  % DateTime : Mon Sep 28 22:49:03 UTC 2026
% 0.08/0.20  % CPUTime  : 
% 0.08/0.20  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.23  Running first-order theorem proving
% 0.08/0.23  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
% 8.91/2.38  % (4124070)Detected formulas, will run a generic FOF schedule.
% 8.91/2.38  % (4124076)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=167644165:i=141193_2995 on theBenchmark for (2995ds/141193Mi)
% 8.91/2.38  % (4124082)dis-21_1_sil=8000:lcm=predicate:random_seed=1212865471:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2995 on theBenchmark for (2995ds/129Mi)
% 8.91/2.38  % (4124080)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2012226657:i=119:av=off:ss=axioms_2995 on theBenchmark for (2995ds/119Mi)
% 8.91/2.38  % (4124081)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=186980504:s2a=on:i=139:gtg=position_2995 on theBenchmark for (2995ds/139Mi)
% 8.91/2.38  % (4124078)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=3322836505:i=141695:sd=1:nm=32:gsp=on:ss=included_2995 on theBenchmark for (2995ds/141695Mi)
% 8.91/2.38  % (4124079)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2778372834:i=109:sd=1:ins=1:gsp=on:ss=axioms_2995 on theBenchmark for (2995ds/109Mi)
% 8.91/2.38  % (4124077)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=4195754461:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2995 on theBenchmark for (2995ds/134677Mi)
% 8.91/2.38  % (4124079)Refutation not found, incomplete strategy
% 8.91/2.38  % (4124079)------------------------------
% 8.91/2.38  % (4124079)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.91/2.38  % (4124079)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.91/2.38  % (4124079)CaDiCaL version: 2.1.3
% 8.91/2.38  % (4124079)Termination reason: Refutation not found, incomplete strategy
% 8.91/2.38  % (4124079)Time elapsed: 0.039 s
% 8.91/2.38  % (4124079)Peak memory usage: 101 MB
% 8.91/2.38  % (4124079)Instructions burned: 60 (million)
% 8.91/2.38  % (4124080)Instruction limit reached! 
% 8.91/2.38  % (4124080)------------------------------
% 8.91/2.38  % (4124080)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.91/2.38  % (4124080)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.91/2.38  % (4124080)CaDiCaL version: 2.1.3
% 8.91/2.38  % (4124080)Termination reason: Instruction limit
% 8.91/2.38  % (4124080)Termination phase: Saturation
% 8.91/2.38  % (4124080)Time elapsed: 0.063 s
% 8.91/2.38  % (4124080)Peak memory usage: 101 MB
% 8.91/2.38  % (4124080)Instructions burned: 121 (million)
% 8.91/2.38  % (4124081)Instruction limit reached! 
% 8.91/2.38  % (4124081)------------------------------
% 8.91/2.38  % (4124081)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.91/2.38  % (4124081)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.91/2.38  % (4124081)CaDiCaL version: 2.1.3
% 8.91/2.38  % (4124081)Termination reason: Instruction limit
% 8.91/2.38  % (4124081)Termination phase: SInE selection
% 8.91/2.38  % (4124081)Time elapsed: 0.073 s
% 8.91/2.38  % (4124081)Peak memory usage: 99 MB
% 8.91/2.38  % (4124081)Instructions burned: 139 (million)
% 8.91/2.38  % (4124082)Instruction limit reached! 
% 8.91/2.38  % (4124082)------------------------------
% 8.91/2.38  % (4124082)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.91/2.38  % (4124082)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.91/2.38  % (4124082)CaDiCaL version: 2.1.3
% 8.91/2.38  % (4124082)Termination reason: Instruction limit
% 8.91/2.38  % (4124082)Termination phase: Saturation
% 8.91/2.38  % (4124082)Time elapsed: 0.080 s
% 8.91/2.38  % (4124082)Peak memory usage: 102 MB
% 8.91/2.38  % (4124082)Instructions burned: 130 (million)
% 8.91/2.38  % (4124090)lrs+10_1_sil=8000:sp=occurrence:random_seed=2914668106:i=285:sd=3:ss=axioms:sgt=8_2993 on theBenchmark for (2993ds/285Mi)
% 8.91/2.38  % (4124091)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1761122876:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2993 on theBenchmark for (2993ds/157Mi)
% 8.91/2.38  % (4124092)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3066767241:i=325:sd=1:ss=axioms:sgt=32_2993 on theBenchmark for (2993ds/325Mi)
% 8.91/2.38  % (4124092)Refutation not found, incomplete strategy
% 8.91/2.38  % (4124092)------------------------------
% 8.91/2.38  % (4124092)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.91/2.38  % (4124092)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.17/3.35  % (4124092)CaDiCaL version: 2.1.3
% 16.17/3.35  % (4124092)Termination reason: Refutation not found, incomplete strategy
% 16.17/3.35  % (4124092)Time elapsed: 0.037 s
% 16.17/3.35  % (4124092)Peak memory usage: 102 MB
% 16.17/3.35  % (4124092)Instructions burned: 47 (million)
% 16.17/3.35  % (4124079)------------------------------
% 16.17/3.35  % (4124079)------------------------------
% 16.17/3.35  % (4124091)Refutation not found, incomplete strategy
% 16.17/3.35  % (4124091)------------------------------
% 16.17/3.35  % (4124091)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.17/3.35  % (4124091)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.17/3.35  % (4124091)CaDiCaL version: 2.1.3
% 16.17/3.35  % (4124091)Termination reason: Refutation not found, incomplete strategy
% 16.17/3.35  % (4124091)Time elapsed: 0.080 s
% 16.17/3.35  % (4124091)Peak memory usage: 102 MB
% 16.17/3.35  % (4124091)Instructions burned: 154 (million)
% 16.17/3.35  % (4124090)Instruction limit reached! 
% 16.17/3.35  % (4124090)------------------------------
% 16.17/3.35  % (4124090)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.17/3.35  % (4124090)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.17/3.35  % (4124090)CaDiCaL version: 2.1.3
% 16.17/3.35  % (4124090)Termination reason: Instruction limit
% 16.17/3.35  % (4124090)Termination phase: Saturation
% 16.17/3.35  % (4124090)Time elapsed: 0.164 s
% 16.17/3.35  % (4124090)Peak memory usage: 104 MB
% 16.17/3.35  % (4124090)Instructions burned: 286 (million)
% 16.17/3.35  % (4124096)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=756666736:s2a=on:i=248:s2at=1.23:gtg=position_2991 on theBenchmark for (2991ds/248Mi)
% 16.17/3.35  [W928 22:49:05.938752429 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type  (currently Float) in python but a tensor of type int in torchscript.
% 16.17/3.35  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 16.17/3.35  [W928 22:49:05.938783126 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type  (currently Float) in python but a tensor of type int in torchscript.
% 16.17/3.35  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 16.17/3.35  [W928 22:49:05.938818986 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type  (currently Float) in python but a tensor of type int in torchscript.
% 16.17/3.35  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 16.17/3.35  [W928 22:49:05.938831149 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type  (currently Float) in python but a tensor of type int in torchscript.
% 16.17/3.35  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 16.17/3.35  [W928 22:49:05.938857349 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type  (currently Float) in python but a tensor of type int in torchscript.
% 16.17/3.35  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 16.17/3.35  [W928 22:49:05.938868549 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type  (currently Float) in python but a tensor of type int in torchscript.
% 16.17/3.35  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 16.17/3.35  % (4124092)------------------------------
% 16.17/3.35  % (4124092)------------------------------
% 16.17/3.35  % (4124091)------------------------------
% 16.17/3.35  % (4124091)------------------------------
% 16.17/3.35  % (4124097)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=4242537356:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2989 on theBenchmark for (2989ds/294Mi)
% 16.17/3.35  % (4124096)Instruction limit reached! 
% 16.17/3.35  % (4124096)------------------------------
% 16.17/3.35  % (4124096)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.17/3.35  % (4124096)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.17/3.35  % (4124096)CaDiCaL version: 2.1.3
% 20.10/4.01  % (4124096)Termination reason: Instruction limit
% 20.10/4.01  % (4124096)Termination phase: Preprocessing 3
% 20.10/4.01  % (4124096)Time elapsed: 0.158 s
% 20.10/4.01  % (4124096)Peak memory usage: 104 MB
% 20.10/4.01  % (4124096)Instructions burned: 249 (million)
% 20.10/4.01  % (4124097)Refutation not found, incomplete strategy
% 20.10/4.01  % (4124097)------------------------------
% 20.10/4.01  % (4124097)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.10/4.01  % (4124097)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.10/4.01  % (4124097)CaDiCaL version: 2.1.3
% 20.10/4.01  % (4124097)Termination reason: Refutation not found, incomplete strategy
% 20.10/4.01  % (4124097)Time elapsed: 0.058 s
% 20.10/4.01  % (4124097)Peak memory usage: 103 MB
% 20.10/4.01  % (4124097)Instructions burned: 86 (million)
% 20.10/4.01  % (4124099)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=584042776:i=2350_2988 on theBenchmark for (2988ds/2350Mi)
% 20.10/4.01  % (4124100)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2914133455:cts=off:i=113:fsr=off:ss=included:sgt=4_2988 on theBenchmark for (2988ds/113Mi)
% 20.10/4.01  % (4124102)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2218579296:i=127:av=off:fsr=off:sup=off_2987 on theBenchmark for (2987ds/127Mi)
% 20.10/4.01  % (4124100)Instruction limit reached! 
% 20.10/4.01  % (4124100)------------------------------
% 20.10/4.01  % (4124100)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.10/4.01  % (4124100)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.10/4.01  % (4124100)CaDiCaL version: 2.1.3
% 20.10/4.01  % (4124100)Termination reason: Instruction limit
% 20.10/4.01  % (4124100)Termination phase: Saturation
% 20.10/4.01  % (4124100)Time elapsed: 0.077 s
% 20.10/4.01  % (4124100)Peak memory usage: 103 MB
% 20.10/4.01  % (4124100)Instructions burned: 115 (million)
% 20.10/4.01  % (4124078)Refutation not found, incomplete strategy
% 20.10/4.01  % (4124078)------------------------------
% 20.10/4.01  % (4124078)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.10/4.01  % (4124078)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.10/4.01  % (4124078)CaDiCaL version: 2.1.3
% 20.10/4.01  % (4124078)Termination reason: Refutation not found, incomplete strategy
% 20.10/4.01  % (4124078)Time elapsed: 0.835 s
% 20.10/4.01  % (4124078)Peak memory usage: 183 MB
% 20.10/4.01  % (4124078)Instructions burned: 1215 (million)
% 20.10/4.01  % (4124102)Instruction limit reached! 
% 20.10/4.01  % (4124102)------------------------------
% 20.10/4.01  % (4124102)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.10/4.01  % (4124102)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.10/4.01  % (4124102)CaDiCaL version: 2.1.3
% 20.10/4.01  % (4124102)Termination reason: Instruction limit
% 20.10/4.01  % (4124102)Termination phase: Preprocessing 3
% 20.10/4.01  % (4124102)Time elapsed: 0.089 s
% 20.10/4.01  % (4124102)Peak memory usage: 104 MB
% 20.10/4.01  % (4124102)Instructions burned: 128 (million)
% 20.10/4.01  % (4124097)------------------------------
% 20.10/4.01  % (4124097)------------------------------
% 20.10/4.01  % (4124106)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=4035646986:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2985 on theBenchmark for (2985ds/114Mi)
% 20.10/4.01  % (4124107)lrs+10_1_sil=8000:sp=occurrence:random_seed=453218929:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2985 on theBenchmark for (2985ds/907Mi)
% 20.10/4.01  % (4124106)Instruction limit reached! 
% 20.10/4.01  % (4124106)------------------------------
% 20.10/4.01  % (4124106)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.10/4.01  % (4124106)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.10/4.01  % (4124106)CaDiCaL version: 2.1.3
% 20.10/4.01  % (4124106)Termination reason: Instruction limit
% 20.10/4.01  % (4124106)Termination phase: Initialization
% 20.10/4.01  % (4124106)Time elapsed: 0.060 s
% 20.10/4.01  % (4124106)Peak memory usage: 98 MB
% 20.10/4.01  % (4124106)Instructions burned: 114 (million)
% 20.10/4.01  % (4124108)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3226026123:i=437:sd=1:aac=none:ss=included_2985 on theBenchmark for (2985ds/437Mi)
% 20.10/4.01  % (4124078)------------------------------
% 20.10/4.01  % (4124078)------------------------------
% 20.10/4.01  % (4124108)Refutation not found, incomplete strategy
% 20.10/4.01  % (4124108)------------------------------
% 20.10/4.01  % (4124108)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.10/4.01  % (4124108)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.10/4.01  % (4124108)CaDiCaL version: 2.1.3
% 20.10/4.01  % (4124108)Termination reason: Refutation not found, incomplete strategy
% 20.10/4.01  % (4124108)Time elapsed: 0.040 s
% 20.10/4.01  % (4124108)Peak memory usage: 102 MB
% 20.10/4.01  % (4124108)Instructions burned: 47 (million)
% 20.10/4.01  % (4124111)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1964985310:i=5202:ss=axioms:sgt=16_2983 on theBenchmark for (2983ds/5202Mi)
% 20.10/4.01  % (4124113)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=2656186898:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2982 on theBenchmark for (2982ds/134Mi)
% 20.10/4.01  % (4124113)Refutation not found, incomplete strategy
% 20.10/4.01  % (4124113)------------------------------
% 20.10/4.01  % (4124113)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.10/4.01  % (4124113)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.10/4.01  % (4124113)CaDiCaL version: 2.1.3
% 20.10/4.01  % (4124113)Termination reason: Refutation not found, incomplete strategy
% 20.10/4.01  % (4124113)Time elapsed: 0.044 s
% 20.10/4.01  % (4124113)Peak memory usage: 103 MB
% 20.10/4.01  % (4124113)Instructions burned: 60 (million)
% 20.10/4.01  % (4124108)------------------------------
% 20.10/4.01  % (4124108)------------------------------
% 20.10/4.01  % (4124116)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=1701359447:st=8:i=592:sd=3:ep=RST:ss=axioms_2980 on theBenchmark for (2980ds/592Mi)
% 20.10/4.01  % (4124113)------------------------------
% 20.10/4.01  % (4124113)------------------------------
% 20.10/4.01  % (4124107)Instruction limit reached! 
% 20.10/4.01  % (4124107)------------------------------
% 20.10/4.01  % (4124107)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.10/4.01  % (4124107)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.10/4.01  % (4124107)CaDiCaL version: 2.1.3
% 20.10/4.01  % (4124107)Termination reason: Instruction limit
% 20.10/4.01  % (4124107)Termination phase: Saturation
% 20.10/4.01  % (4124107)Time elapsed: 0.550 s
% 20.10/4.01  % (4124107)Peak memory usage: 117 MB
% 20.10/4.01  % (4124107)Instructions burned: 908 (million)
% 20.10/4.01  % (4124116)Refutation not found, incomplete strategy
% 20.10/4.01  % (4124116)------------------------------
% 20.10/4.01  % (4124116)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.10/4.01  % (4124116)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.10/4.01  % (4124116)CaDiCaL version: 2.1.3
% 20.10/4.01  % (4124116)Termination reason: Refutation not found, incomplete strategy
% 20.10/4.01  % (4124116)Time elapsed: 0.150 s
% 20.10/4.01  % (4124116)Peak memory usage: 106 MB
% 20.10/4.01  % (4124116)Instructions burned: 237 (million)
% 20.10/4.01  % (4124118)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=1420002337:st=3:i=13193:sd=3:ss=axioms_2978 on theBenchmark for (2978ds/13193Mi)
% 20.10/4.01  % (4124119)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=4174846032:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2977 on theBenchmark for (2977ds/125Mi)
% 20.10/4.01  % (4124119)Instruction limit reached! 
% 20.10/4.01  % (4124119)------------------------------
% 20.10/4.01  % (4124119)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.10/4.01  % (4124119)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.10/4.01  % (4124119)CaDiCaL version: 2.1.3
% 20.10/4.01  % (4124119)Termination reason: Instruction limit
% 20.10/4.01  % (4124119)Termination phase: SInE selection
% 20.10/4.01  % (4124119)Time elapsed: 0.064 s
% 20.10/4.01  % (4124119)Peak memory usage: 99 MB
% 20.10/4.01  % (4124119)Instructions burned: 126 (million)
% 20.10/4.01  % (4124116)------------------------------
% 20.10/4.01  % (4124116)------------------------------
% 20.10/4.01  % (4124122)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=2875084791:i=134:gtgl=5:slsql=off:gtg=exists_sym_2975 on theBenchmark for (2975ds/134Mi)
% 20.10/4.01  % (4124122)Instruction limit reached! 
% 20.10/4.01  % (4124122)------------------------------
% 20.10/4.01  % (4124122)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.10/4.01  % (4124122)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.10/4.01  % (4124122)CaDiCaL version: 2.1.3
% 20.10/4.01  % (4124122)Termination reason: Instruction limit
% 20.10/4.01  % (4124122)Termination phase: Property scanning
% 20.10/4.01  % (4124122)Time elapsed: 0.070 s
% 20.10/4.01  % (4124122)Peak memory usage: 98 MB
% 20.10/4.01  % (4124122)Instructions burned: 136 (million)
% 20.10/4.01  % (4124123)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=1535088864:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2974 on theBenchmark for (2974ds/141Mi)
% 20.10/4.01  % (4124123)Refutation not found, incomplete strategy
% 20.10/4.01  % (4124123)------------------------------
% 20.10/4.01  % (4124123)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.10/4.01  % (4124123)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.10/4.01  % (4124123)CaDiCaL version: 2.1.3
% 20.10/4.01  % (4124123)Termination reason: Refutation not found, incomplete strategy
% 20.10/4.01  % (4124123)Time elapsed: 0.042 s
% 20.10/4.01  % (4124123)Peak memory usage: 102 MB
% 20.10/4.01  % (4124123)Instructions burned: 59 (million)
% 20.10/4.01  % (4124125)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=245243537:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2973 on theBenchmark for (2973ds/431Mi)
% 20.10/4.01  % (4124099)Instruction limit reached! 
% 20.10/4.01  % (4124099)------------------------------
% 20.10/4.01  % (4124099)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.10/4.01  % (4124099)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.10/4.01  % (4124099)CaDiCaL version: 2.1.3
% 20.10/4.01  % (4124099)Termination reason: Instruction limit
% 20.10/4.01  % (4124099)Termination phase: Saturation
% 20.10/4.01  % (4124099)Time elapsed: 1.593 s
% 20.10/4.01  % (4124099)Peak memory usage: 276 MB
% 20.10/4.01  % (4124099)Instructions burned: 2354 (million)
% 20.10/4.01  % (4124125)Refutation not found, incomplete strategy
% 20.10/4.01  % (4124125)------------------------------
% 20.10/4.01  % (4124125)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.10/4.01  % (4124125)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.10/4.01  % (4124125)CaDiCaL version: 2.1.3
% 20.10/4.01  % (4124125)Termination reason: Refutation not found, incomplete strategy
% 20.10/4.01  % (4124125)Time elapsed: 0.045 s
% 20.10/4.01  % (4124125)Peak memory usage: 103 MB
% 20.10/4.01  % (4124125)Instructions burned: 54 (million)
% 20.10/4.01  % (4124123)------------------------------
% 20.10/4.01  % (4124123)------------------------------
% 20.10/4.01  % (4124128)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=1949491095:i=6060:aac=none:ins=25_2970 on theBenchmark for (2970ds/6060Mi)
% 20.10/4.01  % (4124076)First to succeed.
% 20.10/4.01  % (4124076)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-4124070"
% 20.10/4.01  % (4124125)------------------------------
% 20.10/4.01  % (4124125)------------------------------
% 20.10/4.01  % (4124129)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=3456020431:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2969 on theBenchmark for (2969ds/150Mi)
% 20.10/4.01  % (4124129)Instruction limit reached! 
% 20.10/4.01  % (4124129)------------------------------
% 20.10/4.01  % (4124129)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.10/4.01  % (4124129)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.10/4.01  % (4124129)CaDiCaL version: 2.1.3
% 20.10/4.01  % (4124129)Termination reason: Instruction limit
% 20.10/4.01  % (4124129)Termination phase: Preprocessing 3
% 20.10/4.01  % (4124129)Time elapsed: 0.112 s
% 20.10/4.01  % (4124129)Peak memory usage: 104 MB
% 20.10/4.01  % (4124129)Instructions burned: 150 (million)
% 20.10/4.01  % (4124076)Refutation found. Thanks to Tanya!
% 20.10/4.01  % SZS status Theorem for theBenchmark
% 20.10/4.01  % SZS output start Proof for theBenchmark
% See solution above
% 21.63/4.25  % (4124076)------------------------------
% 21.63/4.25  % (4124076)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.63/4.25  % (4124076)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.63/4.25  % (4124076)CaDiCaL version: 2.1.3
% 21.63/4.25  % (4124076)Termination reason: Refutation
% 21.63/4.25  % (4124076)Time elapsed: 2.573 s
% 21.63/4.25  % (4124076)Peak memory usage: 299 MB
% 21.63/4.25  % (4124076)Instructions burned: 7167 (million)
% 21.63/4.25  % (4124076)------------------------------
% 21.63/4.25  % (4124076)------------------------------
% 21.63/4.25  % (4124070)Success in time 3.343 s
% 21.63/4.25  % Vampire exiting
%------------------------------------------------------------------------------