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Vampire-SAT---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : NUM434+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT

% Computer : n005.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 12:24:17 PM UTC 2026

% Result   : Theorem 48.67s 7.36s
% Output   : Refutation 48.67s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :   15
% Syntax   : Number of formulae    :  101 (  19 unt;   6 def)
%            Number of atoms       :  312 (  66 equ)
%            Maximal formula atoms :   11 (   3 avg)
%            Number of connectives :  365 ( 154   ~; 157   |;  36   &)
%                                         (  11 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   4 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :   11 (   9 usr;   7 prp; 0-3 aty)
%            Number of functors    :    9 (   9 usr;   5 con; 0-2 aty)
%            Number of variables   :   73 (   0 sgn  66   !;   7   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f4,axiom,
    ! [X0] :
      ( aInteger0(X0)
     => aInteger0(smndt0(X0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mIntNeg) ).

fof(f5,axiom,
    ! [X0,X1] :
      ( ( aInteger0(X0)
        & aInteger0(X1) )
     => aInteger0(sdtpldt0(X0,X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mIntPlus) ).

fof(f6,axiom,
    ! [X0,X1] :
      ( ( aInteger0(X0)
        & aInteger0(X1) )
     => aInteger0(sdtasdt0(X0,X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mIntMult) ).

fof(f17,axiom,
    ! [X0,X1] :
      ( ( aInteger0(X0)
        & aInteger0(X1) )
     => ( sdtasdt0(X0,X1) = sz00
       => ( X0 = sz00
          | X1 = sz00 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mZeroDiv) ).

fof(f18,axiom,
    ! [X0] :
      ( aInteger0(X0)
     => ! [X1] :
          ( aDivisorOf0(X1,X0)
        <=> ( aInteger0(X1)
            & X1 != sz00
            & ? [X2] :
                ( aInteger0(X2)
                & sdtasdt0(X1,X2) = X0 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDivisor) ).

fof(f19,axiom,
    ! [X0,X1,X2] :
      ( ( aInteger0(X0)
        & aInteger0(X1)
        & aInteger0(X2)
        & X2 != sz00 )
     => ( sdteqdtlpzmzozddtrp0(X0,X1,X2)
      <=> aDivisorOf0(X2,sdtpldt0(X0,smndt0(X1))) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mEquMod) ).

fof(f23,axiom,
    ( aInteger0(xa)
    & aInteger0(xb)
    & aInteger0(xp)
    & xp != sz00
    & aInteger0(xq)
    & xq != sz00 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__979) ).

fof(f24,axiom,
    sdteqdtlpzmzozddtrp0(xa,xb,sdtasdt0(xp,xq)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1003) ).

fof(f25,conjecture,
    ? [X0] :
      ( aInteger0(X0)
      & sdtasdt0(sdtasdt0(xp,xq),X0) = sdtpldt0(xa,smndt0(xb)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).

fof(f26,negated_conjecture,
    ~ ? [X0] :
        ( aInteger0(X0)
        & sdtasdt0(sdtasdt0(xp,xq),X0) = sdtpldt0(xa,smndt0(xb)) ),
    inference(negated_conjecture,[status(cth)],[f25]) ).

fof(f28,plain,
    ! [X0] :
      ( aInteger0(smndt0(X0))
      | ~ aInteger0(X0) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f29,plain,
    ! [X0,X1] :
      ( aInteger0(sdtpldt0(X0,X1))
      | ~ aInteger0(X0)
      | ~ aInteger0(X1) ),
    inference(ennf_transformation,[],[f5]) ).

fof(f30,plain,
    ! [X0,X1] :
      ( aInteger0(sdtpldt0(X0,X1))
      | ~ aInteger0(X0)
      | ~ aInteger0(X1) ),
    inference(flattening,[],[f29]) ).

fof(f31,plain,
    ! [X0,X1] :
      ( aInteger0(sdtasdt0(X0,X1))
      | ~ aInteger0(X0)
      | ~ aInteger0(X1) ),
    inference(ennf_transformation,[],[f6]) ).

fof(f32,plain,
    ! [X0,X1] :
      ( aInteger0(sdtasdt0(X0,X1))
      | ~ aInteger0(X0)
      | ~ aInteger0(X1) ),
    inference(flattening,[],[f31]) ).

fof(f48,plain,
    ! [X0,X1] :
      ( X0 = sz00
      | X1 = sz00
      | sz00 != sdtasdt0(X0,X1)
      | ~ aInteger0(X0)
      | ~ aInteger0(X1) ),
    inference(ennf_transformation,[],[f17]) ).

fof(f49,plain,
    ! [X0,X1] :
      ( X0 = sz00
      | X1 = sz00
      | sz00 != sdtasdt0(X0,X1)
      | ~ aInteger0(X0)
      | ~ aInteger0(X1) ),
    inference(flattening,[],[f48]) ).

fof(f50,plain,
    ! [X0] :
      ( ! [X1] :
          ( aDivisorOf0(X1,X0)
        <=> ( aInteger0(X1)
            & X1 != sz00
            & ? [X2] :
                ( aInteger0(X2)
                & sdtasdt0(X1,X2) = X0 ) ) )
      | ~ aInteger0(X0) ),
    inference(ennf_transformation,[],[f18]) ).

fof(f51,plain,
    ! [X0,X1,X2] :
      ( ( sdteqdtlpzmzozddtrp0(X0,X1,X2)
      <=> aDivisorOf0(X2,sdtpldt0(X0,smndt0(X1))) )
      | ~ aInteger0(X0)
      | ~ aInteger0(X1)
      | ~ aInteger0(X2)
      | sz00 = X2 ),
    inference(ennf_transformation,[],[f19]) ).

fof(f52,plain,
    ! [X0,X1,X2] :
      ( ( sdteqdtlpzmzozddtrp0(X0,X1,X2)
      <=> aDivisorOf0(X2,sdtpldt0(X0,smndt0(X1))) )
      | ~ aInteger0(X0)
      | ~ aInteger0(X1)
      | ~ aInteger0(X2)
      | sz00 = X2 ),
    inference(flattening,[],[f51]) ).

fof(f59,plain,
    ! [X0] :
      ( ~ aInteger0(X0)
      | sdtasdt0(sdtasdt0(xp,xq),X0) != sdtpldt0(xa,smndt0(xb)) ),
    inference(ennf_transformation,[],[f26]) ).

fof(f60,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( aDivisorOf0(X1,X0)
            | ~ aInteger0(X1)
            | sz00 = X1
            | ! [X2] :
                ( ~ aInteger0(X2)
                | sdtasdt0(X1,X2) != X0 ) )
          & ( ( aInteger0(X1)
              & X1 != sz00
              & ? [X2] :
                  ( aInteger0(X2)
                  & sdtasdt0(X1,X2) = X0 ) )
            | ~ aDivisorOf0(X1,X0) ) )
      | ~ aInteger0(X0) ),
    inference(nnf_transformation,[],[f50]) ).

fof(f61,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( aDivisorOf0(X1,X0)
            | ~ aInteger0(X1)
            | sz00 = X1
            | ! [X2] :
                ( ~ aInteger0(X2)
                | sdtasdt0(X1,X2) != X0 ) )
          & ( ( aInteger0(X1)
              & X1 != sz00
              & ? [X2] :
                  ( aInteger0(X2)
                  & sdtasdt0(X1,X2) = X0 ) )
            | ~ aDivisorOf0(X1,X0) ) )
      | ~ aInteger0(X0) ),
    inference(flattening,[],[f60]) ).

fof(f62,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( aDivisorOf0(X1,X0)
            | ~ aInteger0(X1)
            | sz00 = X1
            | ! [X2] :
                ( ~ aInteger0(X2)
                | sdtasdt0(X1,X2) != X0 ) )
          & ( ( aInteger0(X1)
              & X1 != sz00
              & ? [X3] :
                  ( aInteger0(X3)
                  & sdtasdt0(X1,X3) = X0 ) )
            | ~ aDivisorOf0(X1,X0) ) )
      | ~ aInteger0(X0) ),
    inference(rectify,[],[f61]) ).

fof(f63,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( aDivisorOf0(X1,X0)
            | ~ aInteger0(X1)
            | sz00 = X1
            | ! [X2] :
                ( ~ aInteger0(X2)
                | sdtasdt0(X1,X2) != X0 ) )
          & ( ( aInteger0(X1)
              & X1 != sz00
              & aInteger0(sK0(X0,X1))
              & sdtasdt0(X1,sK0(X0,X1)) = X0 )
            | ~ aDivisorOf0(X1,X0) ) )
      | ~ aInteger0(X0) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X3,sK0(X0,X1))],[f62]) ).

fof(f64,plain,
    ! [X0,X1,X2] :
      ( ( ( sdteqdtlpzmzozddtrp0(X0,X1,X2)
          | ~ aDivisorOf0(X2,sdtpldt0(X0,smndt0(X1))) )
        & ( aDivisorOf0(X2,sdtpldt0(X0,smndt0(X1)))
          | ~ sdteqdtlpzmzozddtrp0(X0,X1,X2) ) )
      | ~ aInteger0(X0)
      | ~ aInteger0(X1)
      | ~ aInteger0(X2)
      | sz00 = X2 ),
    inference(nnf_transformation,[],[f52]) ).

fof(f67,plain,
    ! [X0] :
      ( aInteger0(smndt0(X0))
      | ~ aInteger0(X0) ),
    inference(cnf_transformation,[],[f28]) ).

fof(f68,plain,
    ! [X0,X1] :
      ( aInteger0(sdtpldt0(X0,X1))
      | ~ aInteger0(X0)
      | ~ aInteger0(X1) ),
    inference(cnf_transformation,[],[f30]) ).

fof(f69,plain,
    ! [X0,X1] :
      ( aInteger0(sdtasdt0(X0,X1))
      | ~ aInteger0(X0)
      | ~ aInteger0(X1) ),
    inference(cnf_transformation,[],[f32]) ).

fof(f86,plain,
    ! [X0,X1] :
      ( sz00 != sdtasdt0(X0,X1)
      | sz00 = X1
      | sz00 = X0
      | ~ aInteger0(X0)
      | ~ aInteger0(X1) ),
    inference(cnf_transformation,[],[f49]) ).

fof(f87,plain,
    ! [X0,X1] :
      ( ~ aDivisorOf0(X1,X0)
      | sdtasdt0(X1,sK0(X0,X1)) = X0
      | ~ aInteger0(X0) ),
    inference(cnf_transformation,[],[f63]) ).

fof(f88,plain,
    ! [X0,X1] :
      ( aInteger0(sK0(X0,X1))
      | ~ aDivisorOf0(X1,X0)
      | ~ aInteger0(X0) ),
    inference(cnf_transformation,[],[f63]) ).

fof(f92,plain,
    ! [X2,X0,X1] :
      ( aDivisorOf0(X2,sdtpldt0(X0,smndt0(X1)))
      | ~ sdteqdtlpzmzozddtrp0(X0,X1,X2)
      | ~ aInteger0(X0)
      | ~ aInteger0(X1)
      | ~ aInteger0(X2)
      | sz00 = X2 ),
    inference(cnf_transformation,[],[f64]) ).

fof(f97,plain,
    sz00 != xq,
    inference(cnf_transformation,[],[f23]) ).

fof(f98,plain,
    aInteger0(xq),
    inference(cnf_transformation,[],[f23]) ).

fof(f99,plain,
    sz00 != xp,
    inference(cnf_transformation,[],[f23]) ).

fof(f100,plain,
    aInteger0(xp),
    inference(cnf_transformation,[],[f23]) ).

fof(f101,plain,
    aInteger0(xb),
    inference(cnf_transformation,[],[f23]) ).

fof(f102,plain,
    aInteger0(xa),
    inference(cnf_transformation,[],[f23]) ).

fof(f103,plain,
    sdteqdtlpzmzozddtrp0(xa,xb,sdtasdt0(xp,xq)),
    inference(cnf_transformation,[],[f24]) ).

fof(f104,plain,
    ! [X0] :
      ( ~ aInteger0(X0)
      | sdtasdt0(sdtasdt0(xp,xq),X0) != sdtpldt0(xa,smndt0(xb)) ),
    inference(cnf_transformation,[],[f59]) ).

fof(f243,plain,
    ! [X0,X1] :
      ( ~ aDivisorOf0(X0,X1)
      | ~ aInteger0(X1)
      | sdtpldt0(xa,smndt0(xb)) != sdtasdt0(sdtasdt0(xp,xq),sK0(X1,X0)) ),
    inference(resolution,[],[f88,f104]) ).

fof(f308,definition,
    ( spl1_1
  <=> sz00 = sdtasdt0(xp,xq) ),
    introduced(definition,[new_symbols(definition,[spl1_1])],[avatar_definition]) ).

fof(f309,plain,
    ( sz00 != sdtasdt0(xp,xq)
    | spl1_1 ),
    inference(avatar_component_clause,[],[f308]) ).

fof(f310,plain,
    ( sz00 = sdtasdt0(xp,xq)
    | ~ spl1_1 ),
    inference(avatar_component_clause,[],[f308]) ).

fof(f312,definition,
    ( spl1_2
  <=> aInteger0(sdtasdt0(xp,xq)) ),
    introduced(definition,[new_symbols(definition,[spl1_2])],[avatar_definition]) ).

fof(f313,plain,
    ( aInteger0(sdtasdt0(xp,xq))
    | ~ spl1_2 ),
    inference(avatar_component_clause,[],[f312]) ).

fof(f314,plain,
    ( ~ aInteger0(sdtasdt0(xp,xq))
    | spl1_2 ),
    inference(avatar_component_clause,[],[f312]) ).

fof(f357,plain,
    ( ~ aInteger0(xp)
    | ~ aInteger0(xq)
    | spl1_2 ),
    inference(resolution,[],[f314,f69]) ).

fof(f358,plain,
    ( ~ aInteger0(xq)
    | spl1_2 ),
    inference(forward_subsumption_resolution,[],[f357,f100]) ).

fof(f359,plain,
    ( $false
    | spl1_2 ),
    inference(forward_subsumption_resolution,[],[f358,f98]) ).

fof(f360,plain,
    spl1_2,
    inference(avatar_contradiction_clause,[],[f359]) ).

fof(f667,plain,
    ( sz00 != sz00
    | sz00 = xq
    | sz00 = xp
    | ~ aInteger0(xp)
    | ~ aInteger0(xq)
    | ~ spl1_1 ),
    inference(superposition,[],[f86,f310]) ).

fof(f669,plain,
    ( sz00 = xq
    | sz00 = xp
    | ~ aInteger0(xp)
    | ~ aInteger0(xq)
    | ~ spl1_1 ),
    inference(trivial_inequality_removal,[],[f667]) ).

fof(f670,plain,
    ( sz00 = xp
    | ~ aInteger0(xp)
    | ~ aInteger0(xq)
    | ~ spl1_1 ),
    inference(forward_subsumption_resolution,[],[f669,f97]) ).

fof(f679,plain,
    ( ~ aInteger0(xp)
    | ~ aInteger0(xq)
    | ~ spl1_1 ),
    inference(forward_subsumption_resolution,[],[f670,f99]) ).

fof(f684,plain,
    ( ~ aInteger0(xq)
    | ~ spl1_1 ),
    inference(forward_subsumption_resolution,[],[f679,f100]) ).

fof(f686,plain,
    ( $false
    | ~ spl1_1 ),
    inference(forward_subsumption_resolution,[],[f684,f98]) ).

fof(f687,plain,
    ~ spl1_1,
    inference(avatar_contradiction_clause,[],[f686]) ).

fof(f1064,definition,
    ( spl1_34
  <=> aInteger0(sdtpldt0(xa,smndt0(xb))) ),
    introduced(definition,[new_symbols(definition,[spl1_34])],[avatar_definition]) ).

fof(f1065,plain,
    ( ~ aInteger0(sdtpldt0(xa,smndt0(xb)))
    | spl1_34 ),
    inference(avatar_component_clause,[],[f1064]) ).

fof(f1066,plain,
    ( aInteger0(sdtpldt0(xa,smndt0(xb)))
    | ~ spl1_34 ),
    inference(avatar_component_clause,[],[f1064]) ).

fof(f1069,definition,
    ( spl1_35
  <=> sdtpldt0(xa,smndt0(xb)) = sdtasdt0(sdtasdt0(xp,xq),sK0(sdtpldt0(xa,smndt0(xb)),sdtasdt0(xp,xq))) ),
    introduced(definition,[new_symbols(definition,[spl1_35])],[avatar_definition]) ).

fof(f1074,definition,
    ( spl1_36
  <=> aDivisorOf0(sdtasdt0(xp,xq),sdtpldt0(xa,smndt0(xb))) ),
    introduced(definition,[new_symbols(definition,[spl1_36])],[avatar_definition]) ).

fof(f1075,plain,
    ( ~ aDivisorOf0(sdtasdt0(xp,xq),sdtpldt0(xa,smndt0(xb)))
    | spl1_36 ),
    inference(avatar_component_clause,[],[f1074]) ).

fof(f1076,plain,
    ( aDivisorOf0(sdtasdt0(xp,xq),sdtpldt0(xa,smndt0(xb)))
    | ~ spl1_36 ),
    inference(avatar_component_clause,[],[f1074]) ).

fof(f1306,definition,
    ( spl1_47
  <=> aInteger0(smndt0(xb)) ),
    introduced(definition,[new_symbols(definition,[spl1_47])],[avatar_definition]) ).

fof(f1307,plain,
    ( aInteger0(smndt0(xb))
    | ~ spl1_47 ),
    inference(avatar_component_clause,[],[f1306]) ).

fof(f1308,plain,
    ( ~ aInteger0(smndt0(xb))
    | spl1_47 ),
    inference(avatar_component_clause,[],[f1306]) ).

fof(f1353,plain,
    ( ~ aInteger0(xb)
    | spl1_47 ),
    inference(resolution,[],[f1308,f67]) ).

fof(f1354,plain,
    ( $false
    | spl1_47 ),
    inference(forward_subsumption_resolution,[],[f1353,f101]) ).

fof(f1355,plain,
    spl1_47,
    inference(avatar_contradiction_clause,[],[f1354]) ).

fof(f3014,plain,
    ( ~ aInteger0(xa)
    | ~ aInteger0(smndt0(xb))
    | spl1_34 ),
    inference(resolution,[],[f1065,f68]) ).

fof(f3015,plain,
    ( ~ aInteger0(smndt0(xb))
    | spl1_34 ),
    inference(forward_subsumption_resolution,[],[f3014,f102]) ).

fof(f3016,plain,
    ( $false
    | spl1_34
    | ~ spl1_47 ),
    inference(forward_subsumption_resolution,[],[f3015,f1307]) ).

fof(f3017,plain,
    ( spl1_34
    | ~ spl1_47 ),
    inference(avatar_contradiction_clause,[],[f3016]) ).

fof(f10273,plain,
    ( ~ sdteqdtlpzmzozddtrp0(xa,xb,sdtasdt0(xp,xq))
    | ~ aInteger0(xa)
    | ~ aInteger0(xb)
    | ~ aInteger0(sdtasdt0(xp,xq))
    | sz00 = sdtasdt0(xp,xq)
    | spl1_36 ),
    inference(resolution,[],[f1075,f92]) ).

fof(f10274,plain,
    ( ~ aInteger0(xa)
    | ~ aInteger0(xb)
    | ~ aInteger0(sdtasdt0(xp,xq))
    | sz00 = sdtasdt0(xp,xq)
    | spl1_36 ),
    inference(forward_subsumption_resolution,[],[f10273,f103]) ).

fof(f10275,plain,
    ( ~ aInteger0(xb)
    | ~ aInteger0(sdtasdt0(xp,xq))
    | sz00 = sdtasdt0(xp,xq)
    | spl1_36 ),
    inference(forward_subsumption_resolution,[],[f10274,f102]) ).

fof(f10276,plain,
    ( ~ aInteger0(sdtasdt0(xp,xq))
    | sz00 = sdtasdt0(xp,xq)
    | spl1_36 ),
    inference(forward_subsumption_resolution,[],[f10275,f101]) ).

fof(f10277,plain,
    ( sz00 = sdtasdt0(xp,xq)
    | ~ spl1_2
    | spl1_36 ),
    inference(forward_subsumption_resolution,[],[f10276,f313]) ).

fof(f10278,plain,
    ( $false
    | spl1_1
    | ~ spl1_2
    | spl1_36 ),
    inference(forward_subsumption_resolution,[],[f10277,f309]) ).

fof(f10279,plain,
    ( spl1_1
    | ~ spl1_2
    | spl1_36 ),
    inference(avatar_contradiction_clause,[],[f10278]) ).

fof(f10281,plain,
    ( sdtpldt0(xa,smndt0(xb)) = sdtasdt0(sdtasdt0(xp,xq),sK0(sdtpldt0(xa,smndt0(xb)),sdtasdt0(xp,xq)))
    | ~ aInteger0(sdtpldt0(xa,smndt0(xb)))
    | ~ spl1_36 ),
    inference(resolution,[],[f1076,f87]) ).

fof(f10293,plain,
    ( ~ aInteger0(sdtpldt0(xa,smndt0(xb)))
    | sdtpldt0(xa,smndt0(xb)) != sdtasdt0(sdtasdt0(xp,xq),sK0(sdtpldt0(xa,smndt0(xb)),sdtasdt0(xp,xq)))
    | ~ spl1_36 ),
    inference(resolution,[],[f1076,f243]) ).

fof(f10312,plain,
    ( sdtpldt0(xa,smndt0(xb)) != sdtasdt0(sdtasdt0(xp,xq),sK0(sdtpldt0(xa,smndt0(xb)),sdtasdt0(xp,xq)))
    | ~ spl1_34
    | ~ spl1_36 ),
    inference(forward_subsumption_resolution,[],[f10293,f1066]) ).

fof(f10323,plain,
    ( sdtpldt0(xa,smndt0(xb)) = sdtasdt0(sdtasdt0(xp,xq),sK0(sdtpldt0(xa,smndt0(xb)),sdtasdt0(xp,xq)))
    | ~ spl1_34
    | ~ spl1_36 ),
    inference(forward_subsumption_resolution,[],[f10281,f1066]) ).

fof(f10324,plain,
    ( ~ spl1_35
    | ~ spl1_34
    | ~ spl1_36 ),
    inference(avatar_split_clause,[],[f10312,f1074,f1064,f1069]) ).

fof(f10325,plain,
    ( spl1_35
    | ~ spl1_34
    | ~ spl1_36 ),
    inference(avatar_split_clause,[],[f10323,f1074,f1064,f1069]) ).

cnf(s3,plain,
    spl1_2,
    inference(sat_conversion,[],[f360]) ).

cnf(s12,plain,
    ~ spl1_1,
    inference(sat_conversion,[],[f687]) ).

cnf(s54,plain,
    spl1_47,
    inference(sat_conversion,[],[f1355]) ).

cnf(s122,plain,
    ( spl1_34
    | ~ spl1_47 ),
    inference(sat_conversion,[],[f3017]) ).

cnf(s315,plain,
    ( spl1_1
    | ~ spl1_2
    | spl1_36 ),
    inference(sat_conversion,[],[f10279]) ).

cnf(s316,plain,
    ( ~ spl1_34
    | ~ spl1_35
    | ~ spl1_36 ),
    inference(sat_conversion,[],[f10324]) ).

cnf(s317,plain,
    ( ~ spl1_34
    | spl1_35
    | ~ spl1_36 ),
    inference(sat_conversion,[],[f10325]) ).

cnf(s406,plain,
    spl1_34,
    inference(rat,[],[s122,s54]) ).

cnf(s436,plain,
    spl1_36,
    inference(rat,[],[s315,s12,s3]) ).

cnf(s437,plain,
    spl1_35,
    inference(rat,[],[s317,s406,s436]) ).

cnf(s438,plain,
    $false,
    inference(rat,[],[s316,s406,s436,s437]) ).

fof(f10326,plain,
    $false,
    inference(avatar_sat_refutation,[],[s438]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : NUM434+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.37  % Computer : n005.cluster.edu
% 0.10/0.37  % Model    : x86_64 x86_64
% 0.10/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37  % Memory   : 8046.5625MB
% 0.10/0.37  % OS       : Linux 6.8.0-71-generic
% 0.10/0.37  % CPULimit : 300
% 0.10/0.37  % WCLimit  : 300
% 0.10/0.37  % DateTime : Sun Sep 27 19:53:32 UTC 2026
% 0.10/0.37  % CPUTime  : 
% 0.10/0.37  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.40  Running first-order model finding
% 0.10/0.40  Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 26.89/4.22  % (128861)Will run a generic schedule for satisfiability detection.
% 26.89/4.22  % (128868)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3927545966:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 26.89/4.22  % (128867)% WARNING: option uhcvi not known.
% 26.89/4.22  % (128866)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=267015514_2999 on theBenchmark for (2999ds/0Mi)
% 26.89/4.22  % (128869)dis+10_1_sil=32000:sp=arity:random_seed=1132018031:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 26.89/4.22  % (128870)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3049238668:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 26.89/4.22  % (128871)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3064381608:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 26.89/4.22  % (128867)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3038276240:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 26.89/4.22  % (128872)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1955841270:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 26.89/4.22  % TRYING [1]
% 26.89/4.22  % TRYING [2]
% 26.89/4.22  % TRYING [3]
% 26.89/4.22  % TRYING [4]
% 26.89/4.22  % TRYING [5]
% 26.89/4.22  % (128869)Instruction limit reached! 
% 26.89/4.22  % (128869)------------------------------
% 26.89/4.22  % (128869)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.89/4.22  % (128869)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.89/4.22  % (128869)CaDiCaL version: 2.1.3
% 26.89/4.22  % (128869)Termination reason: Instruction limit
% 26.89/4.22  % (128869)Termination phase: Saturation
% 26.89/4.22  % (128869)Time elapsed: 0.059 s
% 26.89/4.22  % (128869)Peak memory usage: 12 MB
% 26.89/4.22  % (128869)Instructions burned: 103 (million)
% 26.89/4.22  % (128870)Instruction limit reached! 
% 26.89/4.22  % (128870)------------------------------
% 26.89/4.22  % (128870)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.89/4.22  % (128870)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.89/4.22  % (128870)CaDiCaL version: 2.1.3
% 26.89/4.22  % (128870)Termination reason: Instruction limit
% 26.89/4.22  % (128870)Termination phase: Saturation
% 26.89/4.22  % (128870)Time elapsed: 0.063 s
% 26.89/4.22  % (128870)Peak memory usage: 12 MB
% 26.89/4.22  % (128870)Instructions burned: 116 (million)
% 26.89/4.22  % (128871)Instruction limit reached! 
% 26.89/4.22  % (128871)------------------------------
% 26.89/4.22  % (128871)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.89/4.22  % (128871)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.89/4.22  % (128871)CaDiCaL version: 2.1.3
% 26.89/4.22  % (128871)Termination reason: Instruction limit
% 26.89/4.22  % (128871)Termination phase: Saturation
% 26.89/4.22  % (128871)Time elapsed: 0.070 s
% 26.89/4.22  % (128871)Peak memory usage: 13 MB
% 26.89/4.22  % (128871)Instructions burned: 132 (million)
% 26.89/4.22  % (128880)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2700499674:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 26.89/4.22  % (128881)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1502202644:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 26.89/4.22  % TRYING [1]
% 26.89/4.22  % TRYING [2]
% 26.89/4.22  % TRYING [3]
% 26.89/4.22  % TRYING [4]
% 26.89/4.22  % (128882)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=92196418:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 26.89/4.22  % (128872)Instruction limit reached! 
% 26.89/4.22  % (128872)------------------------------
% 26.89/4.22  % (128872)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.89/4.22  % (128872)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.89/4.22  % (128872)CaDiCaL version: 2.1.3
% 26.89/4.22  % (128872)Termination reason: Instruction limit
% 26.89/4.22  % (128872)Termination phase: Saturation
% 26.89/4.22  % (128872)Time elapsed: 0.102 s
% 26.89/4.22  % (128872)Peak memory usage: 14 MB
% 26.89/4.22  % (128872)Instructions burned: 160 (million)
% 26.89/4.22  % TRYING [5]
% 26.89/4.22  % (128886)ott-21_1_sil=16000:fs=off:random_seed=4164572886:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 26.89/4.22  % TRYING [6]
% 26.89/4.22  % (128881)Instruction limit reached! 
% 26.89/4.22  % (128881)------------------------------
% 26.89/4.22  % (128881)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.89/4.22  % (128881)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.67/7.36  % (128881)CaDiCaL version: 2.1.3
% 48.67/7.36  % (128881)Termination reason: Instruction limit
% 48.67/7.36  % (128881)Termination phase: Saturation
% 48.67/7.36  % (128881)Time elapsed: 0.064 s
% 48.67/7.36  % (128881)Peak memory usage: 12 MB
% 48.67/7.36  % (128881)Instructions burned: 131 (million)
% 48.67/7.36  % (128888)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=4046801268:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 48.67/7.36  % TRYING [6]
% 48.67/7.36  % (128886)Instruction limit reached! 
% 48.67/7.36  % (128886)------------------------------
% 48.67/7.36  % (128886)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 48.67/7.36  % (128886)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.67/7.36  % (128886)CaDiCaL version: 2.1.3
% 48.67/7.36  % (128886)Termination reason: Instruction limit
% 48.67/7.36  % (128886)Termination phase: Saturation
% 48.67/7.36  % (128886)Time elapsed: 0.091 s
% 48.67/7.36  % (128886)Peak memory usage: 14 MB
% 48.67/7.36  % (128886)Instructions burned: 182 (million)
% 48.67/7.36  % (128890)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1015914940:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 48.67/7.36  % TRYING [1]
% 48.67/7.36  % TRYING [2]
% 48.67/7.36  % TRYING [3]
% 48.67/7.36  % TRYING [4]
% 48.67/7.36  % TRYING [5]
% 48.67/7.36  % (128880)Instruction limit reached! 
% 48.67/7.36  % (128880)------------------------------
% 48.67/7.36  % (128880)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 48.67/7.36  % (128880)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.67/7.36  % (128880)CaDiCaL version: 2.1.3
% 48.67/7.36  % (128880)Termination reason: Instruction limit
% 48.67/7.36  % (128880)Termination phase: Finite model building SAT solving
% 48.67/7.36  % (128880)Time elapsed: 0.337 s
% 48.67/7.36  % (128880)Peak memory usage: 31 MB
% 48.67/7.36  % (128880)Instructions burned: 715 (million)
% 48.67/7.36  % (128892)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3901407688:i=1179_2995 on theBenchmark for (2995ds/1179Mi)
% 48.67/7.36  % (128888)Instruction limit reached! 
% 48.67/7.36  % (128888)------------------------------
% 48.67/7.36  % (128888)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 48.67/7.36  % (128888)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.67/7.36  % (128888)CaDiCaL version: 2.1.3
% 48.67/7.36  % (128888)Termination reason: Instruction limit
% 48.67/7.36  % (128888)Termination phase: Saturation
% 48.67/7.36  % (128888)Time elapsed: 0.274 s
% 48.67/7.36  % (128888)Peak memory usage: 15 MB
% 48.67/7.36  % (128888)Instructions burned: 477 (million)
% 48.67/7.36  % (128882)Instruction limit reached! 
% 48.67/7.36  % (128882)------------------------------
% 48.67/7.36  % (128882)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 48.67/7.36  % (128882)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.67/7.36  % (128882)CaDiCaL version: 2.1.3
% 48.67/7.36  % (128882)Termination reason: Instruction limit
% 48.67/7.36  % (128882)Termination phase: Saturation
% 48.67/7.36  % (128882)Time elapsed: 0.363 s
% 48.67/7.36  % (128882)Peak memory usage: 19 MB
% 48.67/7.36  % (128882)Instructions burned: 684 (million)
% 48.67/7.36  % (128894)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=787789808:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 48.67/7.36  % (128895)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=2615873015:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2995 on theBenchmark for (2995ds/692Mi)
% 48.67/7.36  % TRYING [7]
% 48.67/7.36  % TRYING [6]
% 48.67/7.36  % (128890)Instruction limit reached! 
% 48.67/7.36  % (128890)------------------------------
% 48.67/7.36  % (128890)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 48.67/7.36  % (128890)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.67/7.36  % (128890)CaDiCaL version: 2.1.3
% 48.67/7.36  % (128890)Termination reason: Instruction limit
% 48.67/7.36  % (128890)Termination phase: Finite model building constraint generation
% 48.67/7.36  % (128890)Time elapsed: 0.335 s
% 48.67/7.36  % (128890)Peak memory usage: 21 MB
% 48.67/7.36  % (128890)Instructions burned: 865 (million)
% 48.67/7.36  % TRYING [14]
% 48.67/7.36  % (128898)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=2240240047:i=879:kws=inv_precedence:fsr=off_2993 on theBenchmark for (2993ds/879Mi)
% 48.67/7.36  % (128894)Instruction limit reached! 
% 48.67/7.36  % (128894)------------------------------
% 48.67/7.36  % (128894)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 48.67/7.36  % (128894)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.67/7.36  % (128894)CaDiCaL version: 2.1.3
% 48.67/7.36  % (128894)Termination reason: Instruction limit
% 48.67/7.36  % (128894)Termination phase: Finite model building constraint generation
% 48.67/7.36  % (128894)Time elapsed: 0.331 s
% 48.67/7.36  % (128894)Peak memory usage: 74 MB
% 48.67/7.36  % (128894)Instructions burned: 891 (million)
% 48.67/7.36  % (128900)fmb+10_1_sil=64000:random_seed=1113194480:i=22061:nm=2:gsp=on_2991 on theBenchmark for (2991ds/22061Mi)
% 48.67/7.36  % TRYING [1]
% 48.67/7.36  % TRYING [2]
% 48.67/7.36  % TRYING [3]
% 48.67/7.36  % TRYING [4]
% 48.67/7.36  % (128895)Instruction limit reached! 
% 48.67/7.36  % (128895)------------------------------
% 48.67/7.36  % (128895)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 48.67/7.36  % (128895)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.67/7.36  % (128895)CaDiCaL version: 2.1.3
% 48.67/7.36  % (128895)Termination reason: Instruction limit
% 48.67/7.36  % (128895)Termination phase: Saturation
% 48.67/7.36  % (128895)Time elapsed: 0.385 s
% 48.67/7.36  % (128895)Peak memory usage: 19 MB
% 48.67/7.36  % (128895)Instructions burned: 694 (million)
% 48.67/7.36  % (128902)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=2819673980:i=9515:nm=5_2991 on theBenchmark for (2991ds/9515Mi)
% 48.67/7.36  % TRYING [20]
% 48.67/7.36  % TRYING [5]
% 48.67/7.36  % TRYING [6]
% 48.67/7.36  % (128892)Instruction limit reached! 
% 48.67/7.36  % (128892)------------------------------
% 48.67/7.36  % (128892)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 48.67/7.36  % (128892)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.67/7.36  % (128892)CaDiCaL version: 2.1.3
% 48.67/7.36  % (128892)Termination reason: Instruction limit
% 48.67/7.36  % (128892)Termination phase: Saturation
% 48.67/7.36  % (128892)Time elapsed: 0.648 s
% 48.67/7.36  % (128892)Peak memory usage: 28 MB
% 48.67/7.36  % (128892)Instructions burned: 1180 (million)
% 48.67/7.36  % (128898)Instruction limit reached! 
% 48.67/7.36  % (128898)------------------------------
% 48.67/7.36  % (128898)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 48.67/7.36  % (128898)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.67/7.36  % (128898)CaDiCaL version: 2.1.3
% 48.67/7.36  % (128898)Termination reason: Instruction limit
% 48.67/7.36  % (128898)Termination phase: Saturation
% 48.67/7.36  % (128898)Time elapsed: 0.510 s
% 48.67/7.36  % (128898)Peak memory usage: 20 MB
% 48.67/7.36  % (128898)Instructions burned: 881 (million)
% 48.67/7.36  % (128904)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=1640248089:fmbsr=1.7:i=920_2988 on theBenchmark for (2988ds/920Mi)
% 48.67/7.36  % TRYING [8]
% 48.67/7.36  % (128905)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=3190258996:i=5131_2988 on theBenchmark for (2988ds/5131Mi)
% 48.67/7.36  % (128904)Instruction limit reached! 
% 48.67/7.36  % (128904)------------------------------
% 48.67/7.36  % (128904)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 48.67/7.36  % (128904)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.67/7.36  % (128904)CaDiCaL version: 2.1.3
% 48.67/7.36  % (128904)Termination reason: Instruction limit
% 48.67/7.36  % (128904)Termination phase: Finite model building constraint generation
% 48.67/7.36  % (128904)Time elapsed: 0.343 s
% 48.67/7.36  % (128904)Peak memory usage: 66 MB
% 48.67/7.36  % (128904)Instructions burned: 921 (million)
% 48.67/7.36  % (128908)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=1083711000:i=1472:ins=7:fdi=8:gsp=on_2985 on theBenchmark for (2985ds/1472Mi)
% 48.67/7.36  % TRYING [7]
% 48.67/7.36  % (128908)Instruction limit reached! 
% 48.67/7.36  % (128908)------------------------------
% 48.67/7.36  % (128908)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 48.67/7.36  % (128908)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.67/7.36  % (128908)CaDiCaL version: 2.1.3
% 48.67/7.36  % (128908)Termination reason: Instruction limit
% 48.67/7.36  % (128908)Termination phase: Saturation
% 48.67/7.36  % (128908)Time elapsed: 0.745 s
% 48.67/7.36  % (128908)Peak memory usage: 30 MB
% 48.67/7.36  % (128908)Instructions burned: 1474 (million)
% 48.67/7.36  % (128910)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=2842812254:i=6324_2977 on theBenchmark for (2977ds/6324Mi)
% 48.67/7.36  % TRYING [77]
% 48.67/7.36  % TRYING [8]
% 48.67/7.36  % TRYING [8]
% 48.67/7.36  % (128905)Instruction limit reached! 
% 48.67/7.36  % (128905)------------------------------
% 48.67/7.36  % (128905)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 48.67/7.36  % (128905)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.67/7.36  % (128905)CaDiCaL version: 2.1.3
% 48.67/7.36  % (128905)Termination reason: Instruction limit
% 48.67/7.36  % (128905)Termination phase: Saturation
% 48.67/7.36  % (128905)Time elapsed: 2.659 s
% 48.67/7.36  % (128905)Peak memory usage: 53 MB
% 48.67/7.36  % (128905)Instructions burned: 5131 (million)
% 48.67/7.36  % (128912)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=2131809991:fmbsr=2.30978:i=2174_2961 on theBenchmark for (2961ds/2174Mi)
% 48.67/7.36  % TRYING [16]
% 48.67/7.36  % (128902)Instruction limit reached! 
% 48.67/7.36  % (128902)------------------------------
% 48.67/7.36  % (128902)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 48.67/7.36  % (128902)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.67/7.36  % (128902)CaDiCaL version: 2.1.3
% 48.67/7.36  % (128902)Termination reason: Instruction limit
% 48.67/7.36  % (128902)Termination phase: Finite model building constraint generation
% 48.67/7.36  % (128902)Time elapsed: 3.342 s
% 48.67/7.36  % (128902)Peak memory usage: 578 MB
% 48.67/7.36  % (128902)Instructions burned: 9516 (million)
% 48.67/7.36  % (128914)ott-2_1_sil=16000:newcnf=on:random_seed=2548808710:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2956 on theBenchmark for (2956ds/869Mi)
% 48.67/7.36  % (128910)Instruction limit reached! 
% 48.67/7.36  % (128910)------------------------------
% 48.67/7.36  % (128910)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 48.67/7.36  % (128910)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.67/7.36  % (128910)CaDiCaL version: 2.1.3
% 48.67/7.36  % (128910)Termination reason: Instruction limit
% 48.67/7.36  % (128910)Termination phase: Finite model building constraint generation
% 48.67/7.36  % (128910)Time elapsed: 2.153 s
% 48.67/7.36  % (128910)Peak memory usage: 381 MB
% 48.67/7.36  % (128910)Instructions burned: 6325 (million)
% 48.67/7.36  % (128916)ott+10_1_sil=32000:tgt=ground:random_seed=2349429665:i=5114:av=off_2955 on theBenchmark for (2955ds/5114Mi)
% 48.67/7.36  % (128912)Instruction limit reached! 
% 48.67/7.36  % (128912)------------------------------
% 48.67/7.36  % (128912)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 48.67/7.36  % (128912)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.67/7.36  % (128912)CaDiCaL version: 2.1.3
% 48.67/7.36  % (128912)Termination reason: Instruction limit
% 48.67/7.36  % (128912)Termination phase: Finite model building constraint generation
% 48.67/7.36  % (128912)Time elapsed: 0.760 s
% 48.67/7.36  % (128912)Peak memory usage: 146 MB
% 48.67/7.36  % (128912)Instructions burned: 2177 (million)
% 48.67/7.36  % (128918)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=192158741:i=54282_2953 on theBenchmark for (2953ds/54282Mi)
% 48.67/7.36  % TRYING [1]
% 48.67/7.36  % TRYING [2]
% 48.67/7.36  % TRYING [3]
% 48.67/7.36  % TRYING [4]
% 48.67/7.36  % TRYING [5]
% 48.67/7.36  % TRYING [6]
% 48.67/7.36  % (128914)Instruction limit reached! 
% 48.67/7.36  % (128914)------------------------------
% 48.67/7.36  % (128914)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 48.67/7.36  % (128914)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.67/7.36  % (128914)CaDiCaL version: 2.1.3
% 48.67/7.36  % (128914)Termination reason: Instruction limit
% 48.67/7.36  % (128914)Termination phase: Saturation
% 48.67/7.36  % (128914)Time elapsed: 0.478 s
% 48.67/7.36  % (128914)Peak memory usage: 24 MB
% 48.67/7.36  % (128914)Instructions burned: 871 (million)
% 48.67/7.36  % (128920)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=555044328:i=3512:aac=none_2951 on theBenchmark for (2951ds/3512Mi)
% 48.67/7.36  % TRYING [7]
% 48.67/7.36  % (128920)Instruction limit reached! 
% 48.67/7.36  % (128920)------------------------------
% 48.67/7.36  % (128920)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 48.67/7.36  % (128920)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.67/7.36  % (128920)CaDiCaL version: 2.1.3
% 48.67/7.36  % (128920)Termination reason: Instruction limit
% 48.67/7.36  % (128920)Termination phase: Saturation
% 48.67/7.36  % (128920)Time elapsed: 1.849 s
% 48.67/7.36  % (128920)Peak memory usage: 47 MB
% 48.67/7.36  % (128920)Instructions burned: 3512 (million)
% 48.67/7.36  % (128922)dis+21_1_sil=32000:sas=cadical:random_seed=3605835834:i=3773:amm=off_2932 on theBenchmark for (2932ds/3773Mi)
% 48.67/7.36  % (128922) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-128861-128922"...
% 48.67/7.36  % (128922)...printing done.
% 48.67/7.36  % (128922)Refutation found. Thanks to Tanya!
% 48.67/7.36  % SZS status Theorem for theBenchmark
% 48.67/7.36  % SZS output start Proof for theBenchmark
% See solution above
% 48.67/7.37  % (128922)------------------------------
% 48.67/7.37  % (128922)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 48.67/7.37  % (128922)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.67/7.37  % (128922)CaDiCaL version: 2.1.3
% 48.67/7.37  % (128922)Termination reason: Refutation
% 48.67/7.37  % (128922)Time elapsed: 0.207 s
% 48.67/7.37  % (128922)Peak memory usage: 16 MB
% 48.67/7.37  % (128922)Instructions burned: 377 (million)
% 48.67/7.37  % (128861)Success in time 6.956 s
% 48.67/7.37  % Vampire exiting
%------------------------------------------------------------------------------