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Vampire---5.0.1.CAX-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : CSR105+5 : TPTP v9.3.1. Bugfixed v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n012.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 09:43:05 AM UTC 2026

% Result   : ContradictoryAxioms 19.96s 3.35s
% Output   : Refutation 20.40s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   20
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   88 (  11 unt;   7 def)
%            Number of atoms       :  285 (  36 equ)
%            Maximal formula atoms :   22 (   3 avg)
%            Number of connectives :  322 ( 125   ~; 139   |;  43   &)
%                                         (  11 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   18 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   10 (   8 usr;   7 prp; 0-3 aty)
%            Number of functors    :    7 (   7 usr;   3 con; 0-3 aty)
%            Number of variables   :  185 (   0 sgn 178   !;   7   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f605,axiom,
    ! [X0] : s__instance(X0,s__Entity),
    file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',kb_SUMO_4719) ).

fof(f23166,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(f23167,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,[],[f23166]) ).

fof(f23168,plain,
    ! [X0] :
      ( ! [X1] : ~ s__instance(X1,X0)
      | ~ s__instance(X0,s__NullSet)
      | ~ s__instance(X0,s__SetOrClass) ),
    inference(ennf_transformation,[],[f4706]) ).

fof(f23169,plain,
    ! [X0] :
      ( ! [X1] : ~ s__instance(X1,X0)
      | ~ s__instance(X0,s__NullSet)
      | ~ s__instance(X0,s__SetOrClass) ),
    inference(flattening,[],[f23168]) ).

fof(f27154,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(f27155,plain,
    ! [X0,X1,X2] :
      ( X1 = s__UnionFn(X2,X0)
    <=> sP15(X1,X2,X0) ),
    inference(definition_folding,[],[f23167,f27154]) ).

fof(f27477,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,[],[f27154]) ).

fof(f27478,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,[],[f27477]) ).

fof(f27479,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))],[f27478]) ).

fof(f27480,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,[],[f27155]) ).

fof(f29270,plain,
    ! [X0] : s__instance(X0,s__Entity),
    inference(cnf_transformation,[],[f605]) ).

fof(f33578,plain,
    ! [X2,X0,X1] :
      ( sP15(X0,X1,X2)
      | s__instance(X2,s__SetOrClass) ),
    inference(cnf_transformation,[],[f27479]) ).

fof(f33579,plain,
    ! [X2,X0,X1] :
      ( sP15(X0,X1,X2)
      | s__instance(X0,s__SetOrClass) ),
    inference(cnf_transformation,[],[f27479]) ).

fof(f33580,plain,
    ! [X2,X0,X1] :
      ( sP15(X0,X1,X2)
      | s__instance(X1,s__SetOrClass) ),
    inference(cnf_transformation,[],[f27479]) ).

fof(f33581,plain,
    ! [X2,X0,X1] :
      ( s__instance(sK227(X0,X1,X2),X0)
      | sP15(X0,X1,X2) ),
    inference(cnf_transformation,[],[f27479]) ).

fof(f33582,plain,
    ! [X2,X0,X1] :
      ( s__instance(sK226(X0,X1,X2),X2)
      | sP15(X0,X1,X2) ),
    inference(cnf_transformation,[],[f27479]) ).

fof(f33583,plain,
    ! [X2,X0,X1] :
      ( s__instance(sK225(X0,X1,X2),X1)
      | sP15(X0,X1,X2) ),
    inference(cnf_transformation,[],[f27479]) ).

fof(f33587,plain,
    ! [X2,X0,X1] :
      ( ~ sP15(X1,X2,X0)
      | s__UnionFn(X2,X0) = X1 ),
    inference(cnf_transformation,[],[f27480]) ).

fof(f33623,plain,
    ! [X0,X1] :
      ( ~ s__instance(X1,X0)
      | ~ s__instance(X0,s__NullSet)
      | ~ s__instance(X0,s__SetOrClass) ),
    inference(cnf_transformation,[],[f23169]) ).

fof(f50200,plain,
    ! [X2,X0,X1] :
      ( ~ s__instance(X0,s__NullSet)
      | ~ s__instance(X0,s__SetOrClass)
      | sP15(X1,X0,X2) ),
    inference(resolution,[],[f33623,f33583]) ).

fof(f50202,plain,
    ! [X2,X0,X1] :
      ( ~ s__instance(X0,s__NullSet)
      | ~ s__instance(X0,s__SetOrClass)
      | sP15(X1,X2,X0) ),
    inference(resolution,[],[f33623,f33582]) ).

fof(f50203,plain,
    ! [X2,X0,X1] :
      ( sP15(X1,X2,X0)
      | ~ s__instance(X0,s__NullSet) ),
    inference(forward_subsumption_resolution,[],[f50202,f33578]) ).

fof(f50213,plain,
    ! [X2,X0,X1] :
      ( sP15(X1,X0,X2)
      | ~ s__instance(X0,s__NullSet) ),
    inference(forward_subsumption_resolution,[],[f50200,f33580]) ).

fof(f50214,plain,
    ! [X2,X0,X1] :
      ( ~ s__instance(X0,s__NullSet)
      | s__UnionFn(X0,X1) = X2 ),
    inference(resolution,[],[f50213,f33587]) ).

fof(f50215,plain,
    ! [X2,X0,X1] :
      ( ~ s__instance(X0,s__NullSet)
      | s__UnionFn(X1,X0) = X2 ),
    inference(resolution,[],[f50203,f33587]) ).

fof(f50216,plain,
    ! [X2,X0,X1] :
      ( sP15(X0,X1,X2)
      | ~ s__instance(X0,s__NullSet)
      | ~ s__instance(X0,s__SetOrClass) ),
    inference(resolution,[],[f33581,f33623]) ).

fof(f50217,plain,
    ! [X2,X0,X1] :
      ( sP15(X0,X1,X2)
      | ~ s__instance(X0,s__NullSet) ),
    inference(forward_subsumption_resolution,[],[f50216,f33579]) ).

fof(f50218,plain,
    ! [X2,X0,X1] :
      ( ~ s__instance(X0,s__NullSet)
      | s__UnionFn(X1,X2) = X0 ),
    inference(resolution,[],[f50217,f33587]) ).

fof(f50219,plain,
    ! [X2,X3,X0,X1] :
      ( sP15(X2,s__NullSet,X3)
      | s__UnionFn(X0,X1) = sK225(X2,s__NullSet,X3) ),
    inference(resolution,[],[f50218,f33583]) ).

fof(f50222,plain,
    ! [X2,X3,X0,X1] :
      ( s__UnionFn(X0,X1) = sK225(X2,s__NullSet,X3)
      | s__UnionFn(s__NullSet,X3) = X2 ),
    inference(resolution,[],[f50219,f33587]) ).

fof(f50225,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,[],[f33583,f50222]) ).

fof(f50227,plain,
    ! [X2,X3,X0,X1] :
      ( s__instance(s__UnionFn(X0,X1),s__NullSet)
      | s__UnionFn(s__NullSet,X3) = X2 ),
    inference(forward_subsumption_resolution,[],[f50225,f33587]) ).

fof(f50229,definition,
    ( spl1514_268
  <=> ! [X4,X5] : s__UnionFn(s__NullSet,X5) = X4 ),
    introduced(definition,[new_symbols(definition,[spl1514_268])],[avatar_definition]) ).

fof(f50230,plain,
    ( ! [X4,X5] : s__UnionFn(s__NullSet,X5) = X4
    | ~ spl1514_268 ),
    inference(avatar_component_clause,[],[f50229]) ).

fof(f50236,definition,
    ( spl1514_270
  <=> ! [X0,X1] : s__instance(s__UnionFn(X0,X1),s__NullSet) ),
    introduced(definition,[new_symbols(definition,[spl1514_270])],[avatar_definition]) ).

fof(f50237,plain,
    ( ! [X0,X1] : s__instance(s__UnionFn(X0,X1),s__NullSet)
    | ~ spl1514_270 ),
    inference(avatar_component_clause,[],[f50236]) ).

fof(f50238,plain,
    ( spl1514_268
    | spl1514_270 ),
    inference(avatar_split_clause,[],[f50227,f50236,f50229]) ).

fof(f50239,plain,
    ( ! [X2,X0] : X0 = X2
    | ~ spl1514_268 ),
    inference(superposition,[],[f50230,f50230]) ).

fof(f50259,plain,
    ( ! [X0,X1] : s__instance(X1,X0)
    | ~ spl1514_268 ),
    inference(superposition,[],[f29270,f50239]) ).

fof(f50270,plain,
    ( ! [X0] :
        ( ~ s__instance(X0,s__NullSet)
        | ~ s__instance(X0,s__SetOrClass) )
    | ~ spl1514_268 ),
    inference(resolution,[],[f50259,f33623]) ).

fof(f50272,plain,
    ( ! [X0] : ~ s__instance(X0,s__NullSet)
    | ~ spl1514_268 ),
    inference(forward_subsumption_resolution,[],[f50270,f50259]) ).

fof(f50273,plain,
    ( $false
    | ~ spl1514_268 ),
    inference(forward_subsumption_resolution,[],[f50272,f50259]) ).

fof(f50274,plain,
    ~ spl1514_268,
    inference(avatar_contradiction_clause,[],[f50273]) ).

fof(f50312,plain,
    ! [X2,X3,X0,X1] :
      ( sP15(s__NullSet,X1,X2)
      | s__UnionFn(X0,sK227(s__NullSet,X1,X2)) = X3 ),
    inference(resolution,[],[f50215,f33581]) ).

fof(f50313,plain,
    ! [X2,X3,X0,X1] :
      ( s__UnionFn(X0,sK227(s__NullSet,X1,X2)) = X3
      | s__NullSet = s__UnionFn(X1,X2) ),
    inference(resolution,[],[f50312,f33587]) ).

fof(f50315,plain,
    ! [X2,X3,X0,X4] :
      ( X0 = X4
      | s__NullSet = s__UnionFn(X2,X3)
      | s__NullSet = s__UnionFn(X2,X3) ),
    inference(superposition,[],[f50313,f50313]) ).

fof(f50324,plain,
    ( ! [X2,X3,X0] :
        ( s__instance(X0,s__NullSet)
        | s__NullSet = s__UnionFn(X2,X3) )
    | ~ spl1514_270 ),
    inference(superposition,[],[f50237,f50313]) ).

fof(f50336,plain,
    ! [X2,X3,X0,X4] :
      ( X0 = X4
      | s__NullSet = s__UnionFn(X2,X3) ),
    inference(duplicate_literal_removal,[],[f50315]) ).

fof(f50338,definition,
    ( spl1514_273
  <=> ! [X2,X3] : s__NullSet = s__UnionFn(X2,X3) ),
    introduced(definition,[new_symbols(definition,[spl1514_273])],[avatar_definition]) ).

fof(f50339,plain,
    ( ! [X2,X3] : s__NullSet = s__UnionFn(X2,X3)
    | ~ spl1514_273 ),
    inference(avatar_component_clause,[],[f50338]) ).

fof(f50345,definition,
    ( spl1514_275
  <=> ! [X0] : s__instance(X0,s__NullSet) ),
    introduced(definition,[new_symbols(definition,[spl1514_275])],[avatar_definition]) ).

fof(f50346,plain,
    ( ! [X0] : s__instance(X0,s__NullSet)
    | ~ spl1514_275 ),
    inference(avatar_component_clause,[],[f50345]) ).

fof(f50347,plain,
    ( spl1514_273
    | spl1514_275
    | ~ spl1514_270 ),
    inference(avatar_split_clause,[],[f50324,f50236,f50345,f50338]) ).

fof(f50362,definition,
    ( spl1514_278
  <=> ! [X4,X0] : X0 = X4 ),
    introduced(definition,[new_symbols(definition,[spl1514_278])],[avatar_definition]) ).

fof(f50363,plain,
    ( ! [X0,X4] : X0 = X4
    | ~ spl1514_278 ),
    inference(avatar_component_clause,[],[f50362]) ).

fof(f50364,plain,
    ( spl1514_273
    | spl1514_278 ),
    inference(avatar_split_clause,[],[f50336,f50362,f50338]) ).

fof(f50390,plain,
    ( ! [X2,X3,X0,X1] : s__UnionFn(s__UnionFn(X0,X1),X2) = X3
    | ~ spl1514_270 ),
    inference(resolution,[],[f50214,f50237]) ).

fof(f50397,plain,
    ( ! [X3] : s__NullSet = X3
    | ~ spl1514_270
    | ~ spl1514_273 ),
    inference(forward_demodulation,[],[f50390,f50339]) ).

fof(f50402,definition,
    ( spl1514_280
  <=> ! [X3] : s__NullSet = X3 ),
    introduced(definition,[new_symbols(definition,[spl1514_280])],[avatar_definition]) ).

fof(f50403,plain,
    ( ! [X3] : s__NullSet = X3
    | ~ spl1514_280 ),
    inference(avatar_component_clause,[],[f50402]) ).

fof(f50413,plain,
    ( spl1514_280
    | ~ spl1514_270
    | ~ spl1514_273 ),
    inference(avatar_split_clause,[],[f50397,f50338,f50236,f50402]) ).

fof(f50437,plain,
    ( ! [X0,X1] : s__instance(X1,X0)
    | ~ spl1514_278 ),
    inference(superposition,[],[f29270,f50363]) ).

fof(f50441,plain,
    ( ! [X0] : s__instance(X0,s__NullSet)
    | ~ spl1514_270
    | ~ spl1514_278 ),
    inference(superposition,[],[f50237,f50363]) ).

fof(f50460,plain,
    ( ! [X0] :
        ( ~ s__instance(X0,s__NullSet)
        | ~ s__instance(X0,s__SetOrClass) )
    | ~ spl1514_278 ),
    inference(resolution,[],[f50437,f33623]) ).

fof(f50464,plain,
    ( ! [X0] : ~ s__instance(X0,s__SetOrClass)
    | ~ spl1514_275
    | ~ spl1514_278 ),
    inference(forward_subsumption_resolution,[],[f50460,f50346]) ).

fof(f50465,plain,
    ( $false
    | ~ spl1514_275
    | ~ spl1514_278 ),
    inference(forward_subsumption_resolution,[],[f50464,f50437]) ).

fof(f50466,plain,
    ( ~ spl1514_275
    | ~ spl1514_278 ),
    inference(avatar_contradiction_clause,[],[f50465]) ).

fof(f50471,plain,
    ( ! [X0,X1] : X0 = X1
    | ~ spl1514_280 ),
    inference(superposition,[],[f50403,f50403]) ).

fof(f50495,plain,
    ( spl1514_278
    | ~ spl1514_280 ),
    inference(avatar_split_clause,[],[f50471,f50402,f50362]) ).

fof(f50496,plain,
    ( spl1514_275
    | ~ spl1514_270
    | ~ spl1514_278 ),
    inference(avatar_split_clause,[],[f50441,f50362,f50236,f50345]) ).

cnf(s173,plain,
    ( spl1514_268
    | spl1514_270 ),
    inference(sat_conversion,[],[f50238]) ).

cnf(s174,plain,
    ~ spl1514_268,
    inference(sat_conversion,[],[f50274]) ).

cnf(s177,plain,
    ( ~ spl1514_270
    | spl1514_273
    | spl1514_275 ),
    inference(sat_conversion,[],[f50347]) ).

cnf(s185,plain,
    ( spl1514_273
    | spl1514_278 ),
    inference(sat_conversion,[],[f50364]) ).

cnf(s190,plain,
    ( ~ spl1514_270
    | ~ spl1514_273
    | spl1514_280 ),
    inference(sat_conversion,[],[f50413]) ).

cnf(s191,plain,
    ( ~ spl1514_275
    | ~ spl1514_278 ),
    inference(sat_conversion,[],[f50466]) ).

cnf(s193,plain,
    ( spl1514_278
    | ~ spl1514_280 ),
    inference(sat_conversion,[],[f50495]) ).

cnf(s194,plain,
    ( ~ spl1514_270
    | spl1514_275
    | ~ spl1514_278 ),
    inference(sat_conversion,[],[f50496]) ).

cnf(s196,plain,
    spl1514_270,
    inference(rat,[],[s173,s174]) ).

cnf(s198,plain,
    spl1514_273,
    inference(rat,[],[s191,s177,s185,s196]) ).

cnf(s199,plain,
    spl1514_280,
    inference(rat,[],[s190,s196,s198]) ).

cnf(s201,plain,
    spl1514_278,
    inference(rat,[],[s193,s199]) ).

cnf(s202,plain,
    ~ spl1514_275,
    inference(rat,[],[s191,s201]) ).

cnf(s203,plain,
    $false,
    inference(rat,[],[s194,s196,s201,s202]) ).

fof(f50497,plain,
    $false,
    inference(avatar_sat_refutation,[],[s203]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01  % Problem  : CSR105+5 : TPTP v9.3.1. Bugfixed v7.3.0.
% 0.00/0.03  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.00/0.11  % Computer : n012.cluster.edu
% 0.00/0.11  % Model    : x86_64 x86_64
% 0.00/0.11  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.00/0.11  % Memory   : 8046.5625MB
% 0.00/0.11  % OS       : Linux 6.8.0-71-generic
% 0.00/0.11  % CPULimit : 300
% 0.00/0.11  % WCLimit  : 300
% 0.00/0.11  % DateTime : Mon Sep 28 22:55:04 UTC 2026
% 0.00/0.11  % CPUTime  : 
% 0.00/0.11  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.13  Running first-order theorem proving
% 0.09/0.13  Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 8.93/1.99  % (3881058)Detected formulas, will run a generic FOF schedule.
% 8.93/1.99  % (3881067)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=680364825:i=119:av=off:ss=axioms_2998 on theBenchmark for (2998ds/119Mi)
% 8.93/1.99  % (3881068)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=26745583:s2a=on:i=139:gtg=position_2998 on theBenchmark for (2998ds/139Mi)
% 8.93/1.99  % (3881065)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=3177705641:i=141695:sd=1:nm=32:gsp=on:ss=included_2998 on theBenchmark for (2998ds/141695Mi)
% 8.93/1.99  % (3881069)dis-21_1_sil=8000:lcm=predicate:random_seed=916792416: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)
% 8.93/1.99  % (3881066)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1137168300:i=109:sd=1:ins=1:gsp=on:ss=axioms_2998 on theBenchmark for (2998ds/109Mi)
% 8.93/1.99  % (3881064)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=1362276619:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2998 on theBenchmark for (2998ds/134677Mi)
% 8.93/1.99  % (3881063)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=3886579312:i=141193_2998 on theBenchmark for (2998ds/141193Mi)
% 8.93/1.99  % (3881066)Refutation not found, incomplete strategy
% 8.93/1.99  % (3881066)------------------------------
% 8.93/1.99  % (3881066)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.93/1.99  % (3881066)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.93/1.99  % (3881066)CaDiCaL version: 2.1.3
% 8.93/1.99  % (3881066)Termination reason: Refutation not found, incomplete strategy
% 8.93/1.99  % (3881066)Time elapsed: 0.023 s
% 8.93/1.99  % (3881066)Peak memory usage: 102 MB
% 8.93/1.99  % (3881066)Instructions burned: 60 (million)
% 8.93/1.99  % (3881068)Instruction limit reached! 
% 8.93/1.99  % (3881068)------------------------------
% 8.93/1.99  % (3881068)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.93/1.99  % (3881068)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.93/1.99  % (3881068)CaDiCaL version: 2.1.3
% 8.93/1.99  % (3881068)Termination reason: Instruction limit
% 8.93/1.99  % (3881068)Termination phase: SInE selection
% 8.93/1.99  % (3881068)Time elapsed: 0.041 s
% 8.93/1.99  % (3881068)Peak memory usage: 99 MB
% 8.93/1.99  % (3881068)Instructions burned: 139 (million)
% 8.93/1.99  % (3881067)Instruction limit reached! 
% 8.93/1.99  % (3881067)------------------------------
% 8.93/1.99  % (3881067)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.93/1.99  % (3881067)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.93/1.99  % (3881067)CaDiCaL version: 2.1.3
% 8.93/1.99  % (3881067)Termination reason: Instruction limit
% 8.93/1.99  % (3881067)Termination phase: Saturation
% 8.93/1.99  % (3881067)Time elapsed: 0.042 s
% 8.93/1.99  % (3881067)Peak memory usage: 102 MB
% 8.93/1.99  % (3881067)Instructions burned: 122 (million)
% 8.93/1.99  % (3881069)Instruction limit reached! 
% 8.93/1.99  % (3881069)------------------------------
% 8.93/1.99  % (3881069)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.93/1.99  % (3881069)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.93/1.99  % (3881069)CaDiCaL version: 2.1.3
% 8.93/1.99  % (3881069)Termination reason: Instruction limit
% 8.93/1.99  % (3881069)Termination phase: Property scanning
% 8.93/1.99  % (3881069)Time elapsed: 0.053 s
% 8.93/1.99  % (3881069)Peak memory usage: 101 MB
% 8.93/1.99  % (3881069)Instructions burned: 132 (million)
% 8.93/1.99  % (3881077)lrs+10_1_sil=8000:sp=occurrence:random_seed=1832972151:i=285:sd=3:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/285Mi)
% 8.93/1.99  % (3881078)lrs+10_1_sil=32000:urr=on:br=off:random_seed=387274336:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 8.93/1.99  % (3881066)------------------------------
% 8.93/1.99  % (3881066)------------------------------
% 8.93/1.99  % (3881079)lrs+1011_1_sil=32000:sp=occurrence:random_seed=580328684:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 8.93/1.99  % (3881079)Refutation not found, incomplete strategy
% 8.93/1.99  % (3881079)------------------------------
% 8.93/1.99  % (3881079)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.77/2.66  % (3881079)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.77/2.66  % (3881079)CaDiCaL version: 2.1.3
% 14.77/2.66  % (3881079)Termination reason: Refutation not found, incomplete strategy
% 14.77/2.66  % (3881079)Time elapsed: 0.024 s
% 14.77/2.66  % (3881079)Peak memory usage: 103 MB
% 14.77/2.66  % (3881079)Instructions burned: 51 (million)
% 14.77/2.66  % (3881078)Instruction limit reached! 
% 14.77/2.66  % (3881078)------------------------------
% 14.77/2.66  % (3881078)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.77/2.66  % (3881078)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.77/2.66  % (3881078)CaDiCaL version: 2.1.3
% 14.77/2.66  % (3881078)Termination reason: Instruction limit
% 14.77/2.66  % (3881078)Termination phase: Saturation
% 14.77/2.66  % (3881078)Time elapsed: 0.048 s
% 14.77/2.66  % (3881078)Peak memory usage: 102 MB
% 14.77/2.66  % (3881078)Instructions burned: 158 (million)
% 14.77/2.66  % (3881077)Instruction limit reached! 
% 14.77/2.66  % (3881077)------------------------------
% 14.77/2.66  % (3881077)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.77/2.66  % (3881077)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.77/2.66  % (3881077)CaDiCaL version: 2.1.3
% 14.77/2.66  % (3881077)Termination reason: Instruction limit
% 14.77/2.66  % (3881077)Termination phase: Saturation
% 14.77/2.66  % (3881077)Time elapsed: 0.103 s
% 14.77/2.66  % (3881077)Peak memory usage: 105 MB
% 14.77/2.66  % (3881077)Instructions burned: 286 (million)
% 14.77/2.66  % (3881083)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=3183307589:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 14.77/2.66  % (3881084)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1204026571:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 14.77/2.66  % (3881079)------------------------------
% 14.77/2.66  % (3881079)------------------------------
% 14.77/2.66  % (3881083)Instruction limit reached! 
% 14.77/2.66  % (3881083)------------------------------
% 14.77/2.66  % (3881083)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.77/2.66  % (3881083)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.77/2.66  % (3881083)CaDiCaL version: 2.1.3
% 14.77/2.66  % (3881083)Termination reason: Instruction limit
% 14.77/2.66  % (3881083)Termination phase: Preprocessing 3
% 14.77/2.66  % (3881083)Time elapsed: 0.091 s
% 14.77/2.66  % (3881083)Peak memory usage: 104 MB
% 14.77/2.66  % (3881083)Instructions burned: 251 (million)
% 14.77/2.66  % (3881085)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1437518463:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 14.77/2.66  % (3881084)Instruction limit reached! 
% 14.77/2.66  % (3881084)------------------------------
% 14.77/2.66  % (3881084)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.77/2.66  % (3881084)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.77/2.66  % (3881084)CaDiCaL version: 2.1.3
% 14.77/2.66  % (3881084)Termination reason: Instruction limit
% 14.77/2.66  % (3881084)Termination phase: Saturation
% 14.77/2.66  % (3881084)Time elapsed: 0.089 s
% 14.77/2.66  % (3881084)Peak memory usage: 103 MB
% 14.77/2.66  % (3881084)Instructions burned: 297 (million)
% 14.77/2.66  % (3881088)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1681534932:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 14.77/2.66  % (3881090)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2375000469:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 14.77/2.66  % (3881088)Instruction limit reached! 
% 14.77/2.66  % (3881088)------------------------------
% 14.77/2.66  % (3881088)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.77/2.66  % (3881088)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.77/2.66  % (3881088)CaDiCaL version: 2.1.3
% 14.77/2.66  % (3881088)Termination reason: Instruction limit
% 14.77/2.66  % (3881088)Termination phase: Saturation
% 14.77/2.66  % (3881088)Time elapsed: 0.047 s
% 14.77/2.66  % (3881088)Peak memory usage: 104 MB
% 14.77/2.66  % (3881088)Instructions burned: 113 (million)
% 14.77/2.66  % (3881091)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=648366449:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 14.77/2.66  % (3881090)Instruction limit reached! 
% 19.96/3.35  % (3881090)------------------------------
% 19.96/3.35  % (3881090)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.96/3.35  % (3881090)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.96/3.35  % (3881090)CaDiCaL version: 2.1.3
% 19.96/3.35  % (3881090)Termination reason: Instruction limit
% 19.96/3.35  % (3881090)Termination phase: Preprocessing 3
% 19.96/3.35  % (3881090)Time elapsed: 0.054 s
% 19.96/3.35  % (3881090)Peak memory usage: 104 MB
% 19.96/3.35  % (3881090)Instructions burned: 127 (million)
% 19.96/3.35  % (3881091)Instruction limit reached! 
% 19.96/3.35  % (3881091)------------------------------
% 19.96/3.35  % (3881091)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.96/3.35  % (3881091)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.96/3.35  % (3881091)CaDiCaL version: 2.1.3
% 19.96/3.35  % (3881091)Termination reason: Instruction limit
% 19.96/3.35  % (3881091)Termination phase: Initialization
% 19.96/3.35  % (3881091)Time elapsed: 0.034 s
% 19.96/3.35  % (3881091)Peak memory usage: 98 MB
% 19.96/3.35  % (3881091)Instructions burned: 116 (million)
% 19.96/3.35  % (3881095)lrs+10_1_sil=8000:sp=occurrence:random_seed=1031753996:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 19.96/3.35  % (3881096)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2954419004:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 19.96/3.35  % (3881097)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2096815580:i=5202:ss=axioms:sgt=16_2991 on theBenchmark for (2991ds/5202Mi)
% 19.96/3.35  % (3881096)Instruction limit reached! 
% 19.96/3.35  % (3881096)------------------------------
% 19.96/3.35  % (3881096)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.96/3.35  % (3881096)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.96/3.35  % (3881096)CaDiCaL version: 2.1.3
% 19.96/3.35  % (3881096)Termination reason: Instruction limit
% 19.96/3.35  % (3881096)Termination phase: Saturation
% 19.96/3.35  % (3881096)Time elapsed: 0.100 s
% 19.96/3.35  % (3881096)Peak memory usage: 102 MB
% 19.96/3.35  % (3881096)Instructions burned: 438 (million)
% 19.96/3.35  % (3881101)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=3980244659:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2988 on theBenchmark for (2988ds/134Mi)
% 19.96/3.35  % (3881101)Instruction limit reached! 
% 19.96/3.35  % (3881101)------------------------------
% 19.96/3.35  % (3881101)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.96/3.35  % (3881101)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.96/3.35  % (3881101)CaDiCaL version: 2.1.3
% 19.96/3.35  % (3881101)Termination reason: Instruction limit
% 19.96/3.35  % (3881101)Termination phase: Saturation
% 19.96/3.35  % (3881101)Time elapsed: 0.051 s
% 19.96/3.35  % (3881101)Peak memory usage: 103 MB
% 19.96/3.35  % (3881101)Instructions burned: 137 (million)
% 19.96/3.35  % (3881095)Instruction limit reached! 
% 19.96/3.35  % (3881095)------------------------------
% 19.96/3.35  % (3881095)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.96/3.35  % (3881095)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.96/3.35  % (3881095)CaDiCaL version: 2.1.3
% 19.96/3.35  % (3881095)Termination reason: Instruction limit
% 19.96/3.35  % (3881095)Termination phase: Saturation
% 19.96/3.35  % (3881095)Time elapsed: 0.308 s
% 19.96/3.35  % (3881095)Peak memory usage: 111 MB
% 19.96/3.35  % (3881095)Instructions burned: 907 (million)
% 19.96/3.35  % (3881103)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=2591286889:st=8:i=592:sd=3:ep=RST:ss=axioms_2987 on theBenchmark for (2987ds/592Mi)
% 19.96/3.35  % (3881104)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=1123908527:st=3:i=13193:sd=3:ss=axioms_2987 on theBenchmark for (2987ds/13193Mi)
% 19.96/3.35  % (3881103)Instruction limit reached! 
% 19.96/3.35  % (3881103)------------------------------
% 19.96/3.35  % (3881103)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.96/3.35  % (3881103)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.96/3.35  % (3881103)CaDiCaL version: 2.1.3
% 19.96/3.35  % (3881103)Termination reason: Instruction limit
% 19.96/3.35  % (3881103)Termination phase: Saturation
% 19.96/3.35  % (3881103)Time elapsed: 0.175 s
% 19.96/3.35  % (3881103)Peak memory usage: 108 MB
% 19.96/3.35  % (3881103)Instructions burned: 592 (million)
% 19.96/3.35  % (3881085)Instruction limit reached! 
% 19.96/3.35  % (3881085)------------------------------
% 19.96/3.35  % (3881085)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.96/3.35  % (3881085)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.96/3.35  % (3881085)CaDiCaL version: 2.1.3
% 19.96/3.35  % (3881085)Termination reason: Instruction limit
% 19.96/3.35  % (3881085)Termination phase: Saturation
% 19.96/3.35  % (3881085)Time elapsed: 0.967 s
% 19.96/3.35  % (3881085)Peak memory usage: 253 MB
% 19.96/3.35  % (3881085)Instructions burned: 2356 (million)
% 19.96/3.35  % (3881108)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=2891985041:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2983 on theBenchmark for (2983ds/125Mi)
% 19.96/3.35  % (3881108)Instruction limit reached! 
% 19.96/3.35  % (3881108)------------------------------
% 19.96/3.35  % (3881108)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.96/3.35  % (3881108)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.96/3.35  % (3881108)CaDiCaL version: 2.1.3
% 19.96/3.35  % (3881108)Termination reason: Instruction limit
% 19.96/3.35  % (3881108)Termination phase: SInE selection
% 19.96/3.35  % (3881108)Time elapsed: 0.036 s
% 19.96/3.35  % (3881108)Peak memory usage: 99 MB
% 19.96/3.35  % (3881108)Instructions burned: 125 (million)
% 19.96/3.35  % (3881109)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=593559072:i=134:gtgl=5:slsql=off:gtg=exists_sym_2983 on theBenchmark for (2983ds/134Mi)
% 19.96/3.35  % (3881109)Instruction limit reached! 
% 19.96/3.35  % (3881109)------------------------------
% 19.96/3.35  % (3881109)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.96/3.35  % (3881109)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.96/3.35  % (3881109)CaDiCaL version: 2.1.3
% 19.96/3.35  % (3881109)Termination reason: Instruction limit
% 19.96/3.35  % (3881109)Termination phase: Property scanning
% 19.96/3.35  % (3881109)Time elapsed: 0.039 s
% 19.96/3.35  % (3881109)Peak memory usage: 98 MB
% 19.96/3.35  % (3881109)Instructions burned: 134 (million)
% 19.96/3.35  % (3881111)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=2992851840:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2982 on theBenchmark for (2982ds/141Mi)
% 19.96/3.35  % (3881111)Refutation not found, incomplete strategy
% 19.96/3.35  % (3881111)------------------------------
% 19.96/3.35  % (3881111)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.96/3.35  % (3881111)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.96/3.35  % (3881111)CaDiCaL version: 2.1.3
% 19.96/3.35  % (3881111)Termination reason: Refutation not found, incomplete strategy
% 19.96/3.35  % (3881111)Time elapsed: 0.025 s
% 19.96/3.35  % (3881111)Peak memory usage: 102 MB
% 19.96/3.35  % (3881111)Instructions burned: 60 (million)
% 19.96/3.35  % (3881113)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=2686815842:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2981 on theBenchmark for (2981ds/431Mi)
% 19.96/3.35  % (3881113)Refutation not found, incomplete strategy
% 19.96/3.35  % (3881113)------------------------------
% 19.96/3.35  % (3881113)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.96/3.35  % (3881113)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.96/3.35  % (3881113)CaDiCaL version: 2.1.3
% 19.96/3.35  % (3881113)Termination reason: Refutation not found, incomplete strategy
% 19.96/3.35  % (3881113)Time elapsed: 0.024 s
% 19.96/3.35  % (3881113)Peak memory usage: 103 MB
% 19.96/3.35  % (3881113)Instructions burned: 50 (million)
% 19.96/3.35  % (3881111)------------------------------
% 19.96/3.35  % (3881111)------------------------------
% 19.96/3.35  % (3881113)------------------------------
% 19.96/3.35  % (3881113)------------------------------
% 19.96/3.35  % (3881116)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=646009259:i=6060:aac=none:ins=25_2979 on theBenchmark for (2979ds/6060Mi)
% 19.96/3.35  % (3881117)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=1144930687:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2978 on theBenchmark for (2978ds/150Mi)
% 19.96/3.35  % (3881117)Instruction limit reached! 
% 19.96/3.35  % (3881117)------------------------------
% 19.96/3.35  % (3881117)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.96/3.35  % (3881117)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.96/3.35  % (3881117)CaDiCaL version: 2.1.3
% 19.96/3.35  % (3881117)Termination reason: Instruction limit
% 19.96/3.35  % (3881117)Termination phase: Preprocessing 3
% 19.96/3.35  % (3881117)Time elapsed: 0.063 s
% 19.96/3.35  % (3881117)Peak memory usage: 104 MB
% 19.96/3.35  % (3881117)Instructions burned: 151 (million)
% 19.96/3.35  % (3881120)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=3572873353:i=14155:bd=all_2976 on theBenchmark for (2976ds/14155Mi)
% 19.96/3.35  % (3881097)Instruction limit reached! 
% 19.96/3.35  % (3881097)------------------------------
% 19.96/3.35  % (3881097)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.96/3.35  % (3881097)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.96/3.35  % (3881097)CaDiCaL version: 2.1.3
% 19.96/3.35  % (3881097)Termination reason: Instruction limit
% 19.96/3.35  % (3881097)Termination phase: Saturation
% 19.96/3.35  % (3881097)Time elapsed: 1.587 s
% 19.96/3.35  % (3881097)Peak memory usage: 170 MB
% 19.96/3.35  % (3881097)Instructions burned: 5206 (million)
% 19.96/3.35  % (3881122)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=3758060651:i=667:av=off:fsr=off_2973 on theBenchmark for (2973ds/667Mi)
% 19.96/3.35  % (3881063)First to succeed.
% 19.96/3.35  % (3881063)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3881058"
% 19.96/3.35  % (3881122)Instruction limit reached! 
% 19.96/3.35  % (3881122)------------------------------
% 19.96/3.35  % (3881122)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.96/3.35  % (3881122)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.96/3.35  % (3881122)CaDiCaL version: 2.1.3
% 19.96/3.35  % (3881122)Termination reason: Instruction limit
% 19.96/3.35  % (3881122)Termination phase: Saturation
% 19.96/3.35  % (3881122)Time elapsed: 0.232 s
% 19.96/3.35  % (3881122)Peak memory usage: 117 MB
% 19.96/3.35  % (3881122)Instructions burned: 668 (million)
% 19.96/3.35  % (3881063)Refutation found. Thanks to Tanya!
% 19.96/3.35  % SZS status ContradictoryAxioms for theBenchmark
% 19.96/3.35  % SZS output start Proof for theBenchmark
% See solution above
% 20.40/3.45  % (3881063)------------------------------
% 20.40/3.45  % (3881063)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.40/3.45  % (3881063)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.40/3.45  % (3881063)CaDiCaL version: 2.1.3
% 20.40/3.45  % (3881063)Termination reason: Refutation
% 20.40/3.45  % (3881063)Time elapsed: 2.495 s
% 20.40/3.45  % (3881063)Peak memory usage: 314 MB
% 20.40/3.45  % (3881063)Instructions burned: 7178 (million)
% 20.40/3.45  % (3881063)------------------------------
% 20.40/3.45  % (3881063)------------------------------
% 20.40/3.45  % (3881058)Success in time 3.026 s
% 20.40/3.45  % Vampire exiting
%------------------------------------------------------------------------------