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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : CSR006+1 : TPTP v9.3.1. Bugfixed v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT

% Computer : n014.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 09:44:19 AM UTC 2026

% Result   : Theorem 4.02s 0.92s
% Output   : Refutation 4.02s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   23
%            Number of leaves      :   39
% Syntax   : Number of formulae    :  254 (  57 unt;  17 def)
%            Number of atoms       :  654 ( 109 equ)
%            Maximal formula atoms :   11 (   2 avg)
%            Number of connectives :  627 ( 227   ~; 336   |;  32   &)
%                                         (  27 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   27 (  25 usr;  18 prp; 0-4 aty)
%            Number of functors    :   14 (  14 usr;  10 con; 0-3 aty)
%            Number of variables   :  257 (   0 sgn 246   !;  11   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X0,X1,X2] :
      ( stoppedIn(X0,X1,X2)
    <=> ? [X3,X4] :
          ( happens(X3,X4)
          & less(X0,X4)
          & less(X4,X2)
          & terminates(X3,X1,X4) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR001+0.ax',stoppedin_defn) ).

fof(f3,axiom,
    ! [X0,X1,X2,X3,X4] :
      ( ( happens(X0,X1)
        & initiates(X0,X2,X1)
        & less(n0,X4)
        & trajectory(X2,X1,X3,X4)
        & ~ stoppedIn(X1,X2,plus(X1,X4)) )
     => holdsAt(X3,plus(X1,X4)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR001+0.ax',change_holding) ).

fof(f9,axiom,
    ! [X0,X1,X2] :
      ( ( happens(X0,X1)
        & initiates(X0,X2,X1) )
     => holdsAt(X2,plus(X1,n1)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR001+0.ax',happens_holds) ).

fof(f13,axiom,
    ! [X0,X1,X2] :
      ( initiates(X0,X1,X2)
    <=> ( ( X0 = tapOn
          & X1 = filling )
        | ( X0 = overflow
          & X1 = spilling )
        | ? [X3] :
            ( holdsAt(waterLevel(X3),X2)
            & X0 = tapOff
            & X1 = waterLevel(X3) )
        | ? [X3] :
            ( holdsAt(waterLevel(X3),X2)
            & X0 = overflow
            & X1 = waterLevel(X3) ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR001+1.ax',initiates_all_defn) ).

fof(f16,axiom,
    ! [X0,X1] :
      ( happens(X0,X1)
    <=> ( ( X0 = tapOn
          & X1 = n0 )
        | ( holdsAt(waterLevel(n3),X1)
          & holdsAt(filling,X1)
          & X0 = overflow ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR001+1.ax',happens_all_defn) ).

fof(f17,axiom,
    ! [X0,X1,X2,X3] :
      ( ( holdsAt(waterLevel(X0),X1)
        & X2 = plus(X0,X3) )
     => trajectory(filling,X1,waterLevel(X2),X3) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR001+1.ax',change_of_waterLevel) ).

fof(f18,axiom,
    ! [X0,X1,X2] :
      ( ( holdsAt(waterLevel(X1),X0)
        & holdsAt(waterLevel(X2),X0) )
     => X1 = X2 ),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR001+1.ax',same_waterLevel) ).

fof(f27,axiom,
    plus(n0,n1) = n1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',plus0_1) ).

fof(f29,axiom,
    plus(n0,n3) = n3,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',plus0_3) ).

fof(f30,axiom,
    plus(n1,n1) = n2,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',plus1_1) ).

fof(f31,axiom,
    plus(n1,n2) = n3,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',plus1_2) ).

fof(f32,axiom,
    plus(n1,n3) = n4,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',plus1_3) ).

fof(f36,axiom,
    ! [X0,X1] : plus(X0,X1) = plus(X1,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',symmetry_of_plus) ).

fof(f37,axiom,
    ! [X0,X1] :
      ( less_or_equal(X0,X1)
    <=> ( less(X0,X1)
        | X0 = X1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_or_equal) ).

fof(f38,axiom,
    ~ ? [X0] : less(X0,n0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less0) ).

fof(f39,axiom,
    ! [X0] :
      ( less(X0,n1)
    <=> less_or_equal(X0,n0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less1) ).

fof(f40,axiom,
    ! [X0] :
      ( less(X0,n2)
    <=> less_or_equal(X0,n1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less2) ).

fof(f41,axiom,
    ! [X0] :
      ( less(X0,n3)
    <=> less_or_equal(X0,n2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less3) ).

fof(f42,axiom,
    ! [X0] :
      ( less(X0,n4)
    <=> less_or_equal(X0,n3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less4) ).

fof(f48,axiom,
    ! [X0,X1] :
      ( less(X0,X1)
    <=> ( ~ less(X1,X0)
        & X1 != X0 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_property) ).

fof(f49,axiom,
    holdsAt(waterLevel(n0),n0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',waterLevel_0) ).

fof(f55,conjecture,
    holdsAt(waterLevel(n3),n3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',waterLevel_3) ).

fof(f56,negated_conjecture,
    ~ holdsAt(waterLevel(n3),n3),
    inference(negated_conjecture,[status(cth)],[f55]) ).

fof(f57,plain,
    ! [X0,X1,X2] :
      ( initiates(X0,X1,X2)
    <=> ( ( X0 = tapOn
          & X1 = filling )
        | ( X0 = overflow
          & X1 = spilling )
        | ? [X3] :
            ( holdsAt(waterLevel(X3),X2)
            & X0 = tapOff
            & X1 = waterLevel(X3) )
        | ? [X4] :
            ( holdsAt(waterLevel(X4),X2)
            & X0 = overflow
            & waterLevel(X4) = X1 ) ) ),
    inference(rectify,[],[f13]) ).

fof(f58,plain,
    ~ holdsAt(waterLevel(n3),n3),
    inference(flattening,[],[f56]) ).

fof(f60,plain,
    ! [X0,X1,X2] :
      ( stoppedIn(X0,X1,X2)
     => ? [X3,X4] :
          ( happens(X3,X4)
          & less(X0,X4)
          & less(X4,X2)
          & terminates(X3,X1,X4) ) ),
    inference(unused_predicate_definition_removal,[],[f1]) ).

fof(f63,plain,
    ! [X0,X1,X2] :
      ( ? [X3,X4] :
          ( happens(X3,X4)
          & less(X0,X4)
          & less(X4,X2)
          & terminates(X3,X1,X4) )
      | ~ stoppedIn(X0,X1,X2) ),
    inference(ennf_transformation,[],[f60]) ).

fof(f64,plain,
    ! [X0,X1,X2,X3,X4] :
      ( holdsAt(X3,plus(X1,X4))
      | ~ happens(X0,X1)
      | ~ initiates(X0,X2,X1)
      | ~ less(n0,X4)
      | ~ trajectory(X2,X1,X3,X4)
      | stoppedIn(X1,X2,plus(X1,X4)) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f65,plain,
    ! [X0,X1,X2,X3,X4] :
      ( holdsAt(X3,plus(X1,X4))
      | ~ happens(X0,X1)
      | ~ initiates(X0,X2,X1)
      | ~ less(n0,X4)
      | ~ trajectory(X2,X1,X3,X4)
      | stoppedIn(X1,X2,plus(X1,X4)) ),
    inference(flattening,[],[f64]) ).

fof(f74,plain,
    ! [X0,X1,X2] :
      ( holdsAt(X2,plus(X1,n1))
      | ~ happens(X0,X1)
      | ~ initiates(X0,X2,X1) ),
    inference(ennf_transformation,[],[f9]) ).

fof(f75,plain,
    ! [X0,X1,X2] :
      ( holdsAt(X2,plus(X1,n1))
      | ~ happens(X0,X1)
      | ~ initiates(X0,X2,X1) ),
    inference(flattening,[],[f74]) ).

fof(f82,plain,
    ! [X0,X1,X2,X3] :
      ( trajectory(filling,X1,waterLevel(X2),X3)
      | ~ holdsAt(waterLevel(X0),X1)
      | plus(X0,X3) != X2 ),
    inference(ennf_transformation,[],[f17]) ).

fof(f83,plain,
    ! [X0,X1,X2,X3] :
      ( trajectory(filling,X1,waterLevel(X2),X3)
      | ~ holdsAt(waterLevel(X0),X1)
      | plus(X0,X3) != X2 ),
    inference(flattening,[],[f82]) ).

fof(f84,plain,
    ! [X0,X1,X2] :
      ( X1 = X2
      | ~ holdsAt(waterLevel(X1),X0)
      | ~ holdsAt(waterLevel(X2),X0) ),
    inference(ennf_transformation,[],[f18]) ).

fof(f85,plain,
    ! [X0,X1,X2] :
      ( X1 = X2
      | ~ holdsAt(waterLevel(X1),X0)
      | ~ holdsAt(waterLevel(X2),X0) ),
    inference(flattening,[],[f84]) ).

fof(f86,plain,
    ! [X0] : ~ less(X0,n0),
    inference(ennf_transformation,[],[f38]) ).

fof(f88,plain,
    ! [X2,X0,X1] :
      ( ~ stoppedIn(X0,X1,X2)
      | less(sK1(X0,X1,X2),X2) ),
    inference(cnf_transformation,[],[f63]) ).

fof(f89,plain,
    ! [X2,X0,X1] :
      ( ~ stoppedIn(X0,X1,X2)
      | less(X0,sK1(X0,X1,X2)) ),
    inference(cnf_transformation,[],[f63]) ).

fof(f90,plain,
    ! [X2,X0,X1] :
      ( ~ stoppedIn(X0,X1,X2)
      | happens(sK0(X0,X1,X2),sK1(X0,X1,X2)) ),
    inference(cnf_transformation,[],[f63]) ).

fof(f91,plain,
    ! [X2,X3,X0,X1,X4] :
      ( stoppedIn(X1,X2,plus(X1,X4))
      | ~ trajectory(X2,X1,X3,X4)
      | ~ less(n0,X4)
      | ~ initiates(X0,X2,X1)
      | ~ happens(X0,X1)
      | holdsAt(X3,plus(X1,X4)) ),
    inference(cnf_transformation,[],[f65]) ).

fof(f100,plain,
    ! [X2,X0,X1] :
      ( ~ initiates(X0,X2,X1)
      | ~ happens(X0,X1)
      | holdsAt(X2,plus(X1,n1)) ),
    inference(cnf_transformation,[],[f75]) ).

fof(f109,plain,
    ! [X2,X0,X1,X4] :
      ( waterLevel(X4) != X1
      | overflow != X0
      | ~ holdsAt(waterLevel(X4),X2)
      | initiates(X0,X1,X2) ),
    inference(cnf_transformation,[],[f57]) ).

fof(f122,plain,
    ! [X2,X0,X1] :
      ( filling != X1
      | tapOn != X0
      | initiates(X0,X1,X2) ),
    inference(cnf_transformation,[],[f57]) ).

fof(f134,plain,
    ! [X0,X1] :
      ( n0 != X1
      | tapOn != X0
      | happens(X0,X1) ),
    inference(cnf_transformation,[],[f16]) ).

fof(f135,plain,
    ! [X0,X1] :
      ( holdsAt(waterLevel(n3),X1)
      | n0 = X1
      | ~ happens(X0,X1) ),
    inference(cnf_transformation,[],[f16]) ).

fof(f137,plain,
    ! [X0,X1] :
      ( holdsAt(filling,X1)
      | n0 = X1
      | ~ happens(X0,X1) ),
    inference(cnf_transformation,[],[f16]) ).

fof(f141,plain,
    ! [X0,X1] :
      ( overflow != X0
      | ~ holdsAt(filling,X1)
      | ~ holdsAt(waterLevel(n3),X1)
      | happens(X0,X1) ),
    inference(cnf_transformation,[],[f16]) ).

fof(f142,plain,
    ! [X2,X3,X0,X1] :
      ( plus(X0,X3) != X2
      | ~ holdsAt(waterLevel(X0),X1)
      | trajectory(filling,X1,waterLevel(X2),X3) ),
    inference(cnf_transformation,[],[f83]) ).

fof(f143,plain,
    ! [X2,X0,X1] :
      ( ~ holdsAt(waterLevel(X2),X0)
      | ~ holdsAt(waterLevel(X1),X0)
      | X1 = X2 ),
    inference(cnf_transformation,[],[f85]) ).

fof(f153,plain,
    n1 = plus(n0,n1),
    inference(cnf_transformation,[],[f27]) ).

fof(f155,plain,
    n3 = plus(n0,n3),
    inference(cnf_transformation,[],[f29]) ).

fof(f156,plain,
    n2 = plus(n1,n1),
    inference(cnf_transformation,[],[f30]) ).

fof(f157,plain,
    n3 = plus(n1,n2),
    inference(cnf_transformation,[],[f31]) ).

fof(f158,plain,
    plus(n1,n3) = n4,
    inference(cnf_transformation,[],[f32]) ).

fof(f162,plain,
    ! [X0,X1] : plus(X0,X1) = plus(X1,X0),
    inference(cnf_transformation,[],[f36]) ).

fof(f163,plain,
    ! [X0,X1] :
      ( ~ less_or_equal(X0,X1)
      | less(X0,X1)
      | X0 = X1 ),
    inference(cnf_transformation,[],[f37]) ).

fof(f164,plain,
    ! [X0,X1] :
      ( X0 != X1
      | less_or_equal(X0,X1) ),
    inference(cnf_transformation,[],[f37]) ).

fof(f166,plain,
    ! [X0] : ~ less(X0,n0),
    inference(cnf_transformation,[],[f86]) ).

fof(f167,plain,
    ! [X0] :
      ( ~ less_or_equal(X0,n0)
      | less(X0,n1) ),
    inference(cnf_transformation,[],[f39]) ).

fof(f168,plain,
    ! [X0] :
      ( ~ less(X0,n1)
      | less_or_equal(X0,n0) ),
    inference(cnf_transformation,[],[f39]) ).

fof(f169,plain,
    ! [X0] :
      ( ~ less_or_equal(X0,n1)
      | less(X0,n2) ),
    inference(cnf_transformation,[],[f40]) ).

fof(f170,plain,
    ! [X0] :
      ( ~ less(X0,n2)
      | less_or_equal(X0,n1) ),
    inference(cnf_transformation,[],[f40]) ).

fof(f171,plain,
    ! [X0] :
      ( ~ less_or_equal(X0,n2)
      | less(X0,n3) ),
    inference(cnf_transformation,[],[f41]) ).

fof(f172,plain,
    ! [X0] :
      ( ~ less(X0,n3)
      | less_or_equal(X0,n2) ),
    inference(cnf_transformation,[],[f41]) ).

fof(f173,plain,
    ! [X0] :
      ( ~ less_or_equal(X0,n3)
      | less(X0,n4) ),
    inference(cnf_transformation,[],[f42]) ).

fof(f185,plain,
    ! [X0,X1] :
      ( X0 != X1
      | ~ less(X0,X1) ),
    inference(cnf_transformation,[],[f48]) ).

fof(f186,plain,
    ! [X0,X1] :
      ( ~ less(X0,X1)
      | ~ less(X1,X0) ),
    inference(cnf_transformation,[],[f48]) ).

fof(f187,plain,
    ! [X0,X1] :
      ( less(X1,X0)
      | less(X0,X1)
      | X0 = X1 ),
    inference(cnf_transformation,[],[f48]) ).

fof(f188,plain,
    holdsAt(waterLevel(n0),n0),
    inference(cnf_transformation,[],[f49]) ).

fof(f194,plain,
    ~ holdsAt(waterLevel(n3),n3),
    inference(cnf_transformation,[],[f58]) ).

fof(f197,plain,
    ! [X2,X0] :
      ( tapOn != X0
      | initiates(X0,filling,X2) ),
    inference(equality_resolution,[],[f122]) ).

fof(f198,plain,
    ! [X2] : initiates(tapOn,filling,X2),
    inference(equality_resolution,[],[f197]) ).

fof(f199,plain,
    ! [X2,X0,X4] :
      ( overflow != X0
      | ~ holdsAt(waterLevel(X4),X2)
      | initiates(X0,waterLevel(X4),X2) ),
    inference(equality_resolution,[],[f109]) ).

fof(f200,plain,
    ! [X2,X4] :
      ( ~ holdsAt(waterLevel(X4),X2)
      | initiates(overflow,waterLevel(X4),X2) ),
    inference(equality_resolution,[],[f199]) ).

fof(f209,plain,
    ! [X1] :
      ( ~ holdsAt(filling,X1)
      | ~ holdsAt(waterLevel(n3),X1)
      | happens(overflow,X1) ),
    inference(equality_resolution,[],[f141]) ).

fof(f210,plain,
    ! [X0] :
      ( tapOn != X0
      | happens(X0,n0) ),
    inference(equality_resolution,[],[f134]) ).

fof(f211,plain,
    happens(tapOn,n0),
    inference(equality_resolution,[],[f210]) ).

fof(f212,plain,
    ! [X3,X0,X1] :
      ( ~ holdsAt(waterLevel(X0),X1)
      | trajectory(filling,X1,waterLevel(plus(X0,X3)),X3) ),
    inference(equality_resolution,[],[f142]) ).

fof(f214,plain,
    ! [X1] : less_or_equal(X1,X1),
    inference(equality_resolution,[],[f164]) ).

fof(f215,plain,
    ! [X1] : ~ less(X1,X1),
    inference(equality_resolution,[],[f185]) ).

fof(f216,plain,
    ! [X2,X0,X1] :
      ( ~ stoppedIn(X0,X1,X2)
      | ~ happens(sK0(X0,X1,X2),sK1(X0,X1,X2)) ),
    inference(consistent_polarity_flipping,[],[f90]) ).

fof(f217,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ less(n0,X4)
      | trajectory(X2,X1,X3,X4)
      | stoppedIn(X1,X2,plus(X1,X4))
      | initiates(X0,X2,X1)
      | happens(X0,X1)
      | ~ holdsAt(X3,plus(X1,X4)) ),
    inference(consistent_polarity_flipping,[],[f91]) ).

fof(f225,plain,
    ! [X2,X0,X1] :
      ( ~ holdsAt(X2,plus(X1,n1))
      | happens(X0,X1)
      | initiates(X0,X2,X1) ),
    inference(consistent_polarity_flipping,[],[f100]) ).

fof(f232,plain,
    ! [X2] : ~ initiates(tapOn,filling,X2),
    inference(consistent_polarity_flipping,[],[f198]) ).

fof(f245,plain,
    ! [X2,X4] :
      ( ~ initiates(overflow,waterLevel(X4),X2)
      | holdsAt(waterLevel(X4),X2) ),
    inference(consistent_polarity_flipping,[],[f200]) ).

fof(f250,plain,
    ! [X1] :
      ( holdsAt(waterLevel(n3),X1)
      | holdsAt(filling,X1)
      | ~ happens(overflow,X1) ),
    inference(consistent_polarity_flipping,[],[f209]) ).

fof(f254,plain,
    ! [X0,X1] :
      ( ~ holdsAt(filling,X1)
      | n0 = X1
      | happens(X0,X1) ),
    inference(consistent_polarity_flipping,[],[f137]) ).

fof(f256,plain,
    ! [X0,X1] :
      ( ~ holdsAt(waterLevel(n3),X1)
      | n0 = X1
      | happens(X0,X1) ),
    inference(consistent_polarity_flipping,[],[f135]) ).

fof(f257,plain,
    ~ happens(tapOn,n0),
    inference(consistent_polarity_flipping,[],[f211]) ).

fof(f258,plain,
    ! [X3,X0,X1] :
      ( ~ trajectory(filling,X1,waterLevel(plus(X0,X3)),X3)
      | holdsAt(waterLevel(X0),X1) ),
    inference(consistent_polarity_flipping,[],[f212]) ).

fof(f259,plain,
    ! [X2,X0,X1] :
      ( holdsAt(waterLevel(X2),X0)
      | holdsAt(waterLevel(X1),X0)
      | X1 = X2 ),
    inference(consistent_polarity_flipping,[],[f143]) ).

fof(f260,plain,
    ~ holdsAt(waterLevel(n0),n0),
    inference(consistent_polarity_flipping,[],[f188]) ).

fof(f263,plain,
    holdsAt(waterLevel(n3),n3),
    inference(consistent_polarity_flipping,[],[f194]) ).

fof(f264,plain,
    less(n0,n1),
    inference(resolution,[],[f167,f214]) ).

fof(f265,plain,
    less(n1,n2),
    inference(resolution,[],[f169,f214]) ).

fof(f268,plain,
    less(n2,n3),
    inference(resolution,[],[f171,f214]) ).

fof(f269,plain,
    less(n3,n4),
    inference(resolution,[],[f173,f214]) ).

fof(f292,plain,
    ~ less(n3,n2),
    inference(resolution,[],[f186,f268]) ).

fof(f323,plain,
    ! [X0] :
      ( less(n0,X0)
      | n0 = X0 ),
    inference(resolution,[],[f187,f166]) ).

fof(f372,plain,
    ! [X0,X1] :
      ( n0 = X0
      | happens(X1,X0)
      | holdsAt(filling,X0)
      | ~ happens(overflow,X0) ),
    inference(resolution,[],[f256,f250]) ).

fof(f373,plain,
    ! [X0,X1] :
      ( ~ happens(overflow,X0)
      | happens(X1,X0)
      | n0 = X0 ),
    inference(forward_subsumption_resolution,[],[f372,f254]) ).

fof(f378,definition,
    ( spl10_2
  <=> n0 = n3 ),
    introduced(definition,[new_symbols(definition,[spl10_2])],[avatar_definition]) ).

fof(f379,plain,
    ( n0 != n3
    | spl10_2 ),
    inference(avatar_component_clause,[],[f378]) ).

fof(f380,plain,
    ( n0 = n3
    | ~ spl10_2 ),
    inference(avatar_component_clause,[],[f378]) ).

fof(f383,plain,
    ! [X2,X0,X1] :
      ( holdsAt(waterLevel(X1),X0)
      | happens(X2,X0)
      | n0 = X0
      | n3 = X1 ),
    inference(resolution,[],[f259,f256]) ).

fof(f392,plain,
    ! [X2,X0,X1] :
      ( ~ holdsAt(X1,plus(n1,X0))
      | happens(X2,X0)
      | initiates(X2,X1,X0) ),
    inference(superposition,[],[f225,f162]) ).

fof(f405,plain,
    ( holdsAt(waterLevel(n0),n0)
    | ~ spl10_2 ),
    inference(superposition,[],[f263,f380]) ).

fof(f413,plain,
    ( $false
    | ~ spl10_2 ),
    inference(forward_subsumption_resolution,[],[f405,f260]) ).

fof(f414,plain,
    ~ spl10_2,
    inference(avatar_contradiction_clause,[],[f413]) ).

fof(f428,plain,
    ! [X0] :
      ( ~ trajectory(filling,X0,waterLevel(n1),n1)
      | holdsAt(waterLevel(n0),X0) ),
    inference(superposition,[],[f258,f153]) ).

fof(f429,plain,
    ! [X0] :
      ( ~ trajectory(filling,X0,waterLevel(n3),n3)
      | holdsAt(waterLevel(n0),X0) ),
    inference(superposition,[],[f258,f155]) ).

fof(f535,plain,
    ! [X2,X3,X0,X1,X4] :
      ( trajectory(X0,X1,X2,X3)
      | stoppedIn(X1,X0,plus(X1,X3))
      | initiates(X4,X0,X1)
      | happens(X4,X1)
      | ~ holdsAt(X2,plus(X1,X3))
      | less(X3,n0)
      | n0 = X3 ),
    inference(resolution,[],[f217,f187]) ).

fof(f536,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ holdsAt(X2,plus(X1,X3))
      | stoppedIn(X1,X0,plus(X1,X3))
      | initiates(X4,X0,X1)
      | happens(X4,X1)
      | trajectory(X0,X1,X2,X3)
      | n0 = X3 ),
    inference(forward_subsumption_resolution,[],[f535,f166]) ).

fof(f562,plain,
    ( n0 = n3
    | less_or_equal(n0,n2) ),
    inference(resolution,[],[f323,f172]) ).

fof(f616,plain,
    ( less_or_equal(n0,n2)
    | spl10_2 ),
    inference(forward_subsumption_resolution,[],[f562,f379]) ).

fof(f692,plain,
    ( less(n0,n3)
    | spl10_2 ),
    inference(resolution,[],[f616,f171]) ).

fof(f716,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ holdsAt(X2,plus(X1,n3))
        | stoppedIn(X1,X0,plus(X1,n3))
        | initiates(X3,X0,X1)
        | happens(X3,X1)
        | trajectory(X0,X1,X2,n3) )
    | spl10_2 ),
    inference(resolution,[],[f692,f217]) ).

fof(f741,plain,
    ( ! [X2,X0,X1] :
        ( ~ holdsAt(X0,n3)
        | stoppedIn(n0,X1,n3)
        | initiates(X2,X1,n0)
        | happens(X2,n0)
        | trajectory(X1,n0,X0,n3) )
    | spl10_2 ),
    inference(superposition,[],[f716,f155]) ).

fof(f745,plain,
    ( ! [X0,X1] :
        ( stoppedIn(n0,X0,n3)
        | initiates(X1,X0,n0)
        | happens(X1,n0)
        | trajectory(X0,n0,waterLevel(n3),n3) )
    | spl10_2 ),
    inference(resolution,[],[f741,f263]) ).

fof(f755,definition,
    ( spl10_25
  <=> ! [X0,X1] :
        ( stoppedIn(n0,X0,n3)
        | trajectory(X0,n0,waterLevel(n3),n3)
        | happens(X1,n0)
        | initiates(X1,X0,n0) ) ),
    introduced(definition,[new_symbols(definition,[spl10_25])],[avatar_definition]) ).

fof(f756,plain,
    ( ! [X0,X1] :
        ( trajectory(X0,n0,waterLevel(n3),n3)
        | initiates(X1,X0,n0)
        | happens(X1,n0)
        | stoppedIn(n0,X0,n3) )
    | ~ spl10_25 ),
    inference(avatar_component_clause,[],[f755]) ).

fof(f774,plain,
    ( spl10_25
    | spl10_2 ),
    inference(avatar_split_clause,[],[f745,f378,f755]) ).

fof(f854,definition,
    ( spl10_34
  <=> happens(overflow,n2) ),
    introduced(definition,[new_symbols(definition,[spl10_34])],[avatar_definition]) ).

fof(f855,plain,
    ( happens(overflow,n2)
    | ~ spl10_34 ),
    inference(avatar_component_clause,[],[f854]) ).

fof(f856,plain,
    ( ~ happens(overflow,n2)
    | spl10_34 ),
    inference(avatar_component_clause,[],[f854]) ).

fof(f890,plain,
    ( ! [X0] :
        ( holdsAt(waterLevel(n0),n0)
        | initiates(X0,filling,n0)
        | happens(X0,n0)
        | stoppedIn(n0,filling,n3) )
    | ~ spl10_25 ),
    inference(resolution,[],[f429,f756]) ).

fof(f891,plain,
    ( ! [X0] :
        ( initiates(X0,filling,n0)
        | happens(X0,n0)
        | stoppedIn(n0,filling,n3) )
    | ~ spl10_25 ),
    inference(forward_subsumption_resolution,[],[f890,f260]) ).

fof(f895,definition,
    ( spl10_39
  <=> stoppedIn(n0,filling,n3) ),
    introduced(definition,[new_symbols(definition,[spl10_39])],[avatar_definition]) ).

fof(f897,plain,
    ( stoppedIn(n0,filling,n3)
    | ~ spl10_39 ),
    inference(avatar_component_clause,[],[f895]) ).

fof(f899,definition,
    ( spl10_40
  <=> ! [X0] :
        ( initiates(X0,filling,n0)
        | happens(X0,n0) ) ),
    introduced(definition,[new_symbols(definition,[spl10_40])],[avatar_definition]) ).

fof(f900,plain,
    ( ! [X0] :
        ( initiates(X0,filling,n0)
        | happens(X0,n0) )
    | ~ spl10_40 ),
    inference(avatar_component_clause,[],[f899]) ).

fof(f901,plain,
    ( spl10_39
    | spl10_40
    | ~ spl10_25 ),
    inference(avatar_split_clause,[],[f891,f755,f899,f895]) ).

fof(f909,plain,
    ( ~ happens(sK0(n0,filling,n3),sK1(n0,filling,n3))
    | ~ spl10_39 ),
    inference(resolution,[],[f897,f216]) ).

fof(f910,plain,
    ( less(n0,sK1(n0,filling,n3))
    | ~ spl10_39 ),
    inference(resolution,[],[f897,f89]) ).

fof(f911,plain,
    ( less(sK1(n0,filling,n3),n3)
    | ~ spl10_39 ),
    inference(resolution,[],[f897,f88]) ).

fof(f915,plain,
    ( less_or_equal(sK1(n0,filling,n3),n2)
    | ~ spl10_39 ),
    inference(resolution,[],[f911,f172]) ).

fof(f922,definition,
    ( spl10_42
  <=> n2 = sK1(n0,filling,n3) ),
    introduced(definition,[new_symbols(definition,[spl10_42])],[avatar_definition]) ).

fof(f924,plain,
    ( n2 = sK1(n0,filling,n3)
    | ~ spl10_42 ),
    inference(avatar_component_clause,[],[f922]) ).

fof(f926,definition,
    ( spl10_43
  <=> less(sK1(n0,filling,n3),n2) ),
    introduced(definition,[new_symbols(definition,[spl10_43])],[avatar_definition]) ).

fof(f928,plain,
    ( less(sK1(n0,filling,n3),n2)
    | ~ spl10_43 ),
    inference(avatar_component_clause,[],[f926]) ).

fof(f938,plain,
    ! [X0,X1] :
      ( initiates(X1,X0,n2)
      | happens(X1,n2)
      | ~ holdsAt(X0,n3) ),
    inference(superposition,[],[f392,f157]) ).

fof(f973,plain,
    ( happens(tapOn,n0)
    | ~ spl10_40 ),
    inference(resolution,[],[f900,f232]) ).

fof(f978,plain,
    ( $false
    | ~ spl10_40 ),
    inference(forward_subsumption_resolution,[],[f973,f257]) ).

fof(f979,plain,
    ~ spl10_40,
    inference(avatar_contradiction_clause,[],[f978]) ).

fof(f1022,definition,
    ( spl10_49
  <=> n0 = n2 ),
    introduced(definition,[new_symbols(definition,[spl10_49])],[avatar_definition]) ).

fof(f1023,plain,
    ( n0 != n2
    | spl10_49 ),
    inference(avatar_component_clause,[],[f1022]) ).

fof(f1024,plain,
    ( n0 = n2
    | ~ spl10_49 ),
    inference(avatar_component_clause,[],[f1022]) ).

fof(f1026,definition,
    ( spl10_50
  <=> ! [X1] : happens(X1,n2) ),
    introduced(definition,[new_symbols(definition,[spl10_50])],[avatar_definition]) ).

fof(f1027,plain,
    ( ! [X1] : happens(X1,n2)
    | ~ spl10_50 ),
    inference(avatar_component_clause,[],[f1026]) ).

fof(f1033,definition,
    ( spl10_52
  <=> n0 = n1 ),
    introduced(definition,[new_symbols(definition,[spl10_52])],[avatar_definition]) ).

fof(f1034,plain,
    ( n0 != n1
    | spl10_52 ),
    inference(avatar_component_clause,[],[f1033]) ).

fof(f1035,plain,
    ( n0 = n1
    | ~ spl10_52 ),
    inference(avatar_component_clause,[],[f1033]) ).

fof(f1037,definition,
    ( spl10_53
  <=> ! [X1] : happens(X1,n1) ),
    introduced(definition,[new_symbols(definition,[spl10_53])],[avatar_definition]) ).

fof(f1038,plain,
    ( ! [X1] : happens(X1,n1)
    | ~ spl10_53 ),
    inference(avatar_component_clause,[],[f1037]) ).

fof(f1261,plain,
    ( less(sK1(n0,filling,n3),n2)
    | n2 = sK1(n0,filling,n3)
    | ~ spl10_39 ),
    inference(resolution,[],[f915,f163]) ).

fof(f1262,plain,
    ( spl10_42
    | spl10_43
    | ~ spl10_39 ),
    inference(avatar_split_clause,[],[f1261,f895,f926,f922]) ).

fof(f1401,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( stoppedIn(X0,X1,plus(X0,X2))
      | initiates(X3,X1,X0)
      | trajectory(X1,X0,waterLevel(X4),X2)
      | happens(X5,plus(X0,X2))
      | n0 = X2
      | happens(X3,X0)
      | n0 = plus(X0,X2)
      | n3 = X4 ),
    inference(resolution,[],[f536,f383]) ).

fof(f1568,plain,
    ( less(n1,n0)
    | ~ spl10_49 ),
    inference(superposition,[],[f265,f1024]) ).

fof(f1600,plain,
    ( $false
    | ~ spl10_49 ),
    inference(forward_subsumption_resolution,[],[f1568,f166]) ).

fof(f1601,plain,
    ~ spl10_49,
    inference(avatar_contradiction_clause,[],[f1600]) ).

fof(f1637,plain,
    ( less(n1,n1)
    | ~ spl10_52 ),
    inference(superposition,[],[f264,f1035]) ).

fof(f1678,plain,
    ( $false
    | ~ spl10_52 ),
    inference(forward_subsumption_resolution,[],[f1637,f215]) ).

fof(f1679,plain,
    ~ spl10_52,
    inference(avatar_contradiction_clause,[],[f1678]) ).

fof(f1981,definition,
    ( spl10_96
  <=> n1 = n3 ),
    introduced(definition,[new_symbols(definition,[spl10_96])],[avatar_definition]) ).

fof(f1982,plain,
    ( n1 != n3
    | spl10_96 ),
    inference(avatar_component_clause,[],[f1981]) ).

fof(f1983,plain,
    ( n1 = n3
    | ~ spl10_96 ),
    inference(avatar_component_clause,[],[f1981]) ).

fof(f2045,definition,
    ( spl10_101
  <=> n2 = n4 ),
    introduced(definition,[new_symbols(definition,[spl10_101])],[avatar_definition]) ).

fof(f2047,plain,
    ( n2 = n4
    | ~ spl10_101 ),
    inference(avatar_component_clause,[],[f2045]) ).

fof(f2675,plain,
    ( plus(n1,n1) = n4
    | ~ spl10_96 ),
    inference(superposition,[],[f158,f1983]) ).

fof(f2735,plain,
    ( n2 = n4
    | ~ spl10_96 ),
    inference(forward_demodulation,[],[f2675,f156]) ).

fof(f2738,plain,
    ( spl10_101
    | ~ spl10_96 ),
    inference(avatar_split_clause,[],[f2735,f1981,f2045]) ).

fof(f3880,plain,
    ( less_or_equal(sK1(n0,filling,n3),n1)
    | ~ spl10_43 ),
    inference(resolution,[],[f928,f170]) ).

fof(f3895,plain,
    ( less(sK1(n0,filling,n3),n1)
    | n1 = sK1(n0,filling,n3)
    | ~ spl10_43 ),
    inference(resolution,[],[f3880,f163]) ).

fof(f3897,definition,
    ( spl10_200
  <=> n1 = sK1(n0,filling,n3) ),
    introduced(definition,[new_symbols(definition,[spl10_200])],[avatar_definition]) ).

fof(f3899,plain,
    ( n1 = sK1(n0,filling,n3)
    | ~ spl10_200 ),
    inference(avatar_component_clause,[],[f3897]) ).

fof(f3901,definition,
    ( spl10_201
  <=> less(sK1(n0,filling,n3),n1) ),
    introduced(definition,[new_symbols(definition,[spl10_201])],[avatar_definition]) ).

fof(f3903,plain,
    ( less(sK1(n0,filling,n3),n1)
    | ~ spl10_201 ),
    inference(avatar_component_clause,[],[f3901]) ).

fof(f3977,plain,
    ( less_or_equal(sK1(n0,filling,n3),n0)
    | ~ spl10_201 ),
    inference(resolution,[],[f3903,f168]) ).

fof(f4106,plain,
    ( less(sK1(n0,filling,n3),n0)
    | n0 = sK1(n0,filling,n3)
    | ~ spl10_201 ),
    inference(resolution,[],[f3977,f163]) ).

fof(f4107,plain,
    ( n0 = sK1(n0,filling,n3)
    | ~ spl10_201 ),
    inference(forward_subsumption_resolution,[],[f4106,f166]) ).

fof(f4154,plain,
    ( less(n0,n0)
    | ~ spl10_39
    | ~ spl10_201 ),
    inference(superposition,[],[f910,f4107]) ).

fof(f4174,plain,
    ( $false
    | ~ spl10_39
    | ~ spl10_201 ),
    inference(forward_subsumption_resolution,[],[f4154,f166]) ).

fof(f4175,plain,
    ( ~ spl10_39
    | ~ spl10_201 ),
    inference(avatar_contradiction_clause,[],[f4174]) ).

fof(f4839,plain,
    ( ~ happens(sK0(n0,filling,n3),n2)
    | ~ spl10_39
    | ~ spl10_42 ),
    inference(forward_demodulation,[],[f909,f924]) ).

fof(f4840,plain,
    ( $false
    | ~ spl10_39
    | ~ spl10_42
    | ~ spl10_50 ),
    inference(forward_subsumption_resolution,[],[f4839,f1027]) ).

fof(f4841,plain,
    ( ~ spl10_39
    | ~ spl10_42
    | ~ spl10_50 ),
    inference(avatar_contradiction_clause,[],[f4840]) ).

fof(f4906,plain,
    ( ~ happens(sK0(n0,filling,n3),n1)
    | ~ spl10_39
    | ~ spl10_200 ),
    inference(forward_demodulation,[],[f909,f3899]) ).

fof(f4907,plain,
    ( $false
    | ~ spl10_39
    | ~ spl10_53
    | ~ spl10_200 ),
    inference(forward_subsumption_resolution,[],[f4906,f1038]) ).

fof(f4908,plain,
    ( ~ spl10_39
    | ~ spl10_53
    | ~ spl10_200 ),
    inference(avatar_contradiction_clause,[],[f4907]) ).

fof(f4942,plain,
    ( ! [X0] :
        ( happens(X0,n2)
        | n0 = n2 )
    | ~ spl10_34 ),
    inference(resolution,[],[f855,f373]) ).

fof(f4945,plain,
    ( ! [X0] : happens(X0,n2)
    | ~ spl10_34
    | spl10_49 ),
    inference(forward_subsumption_resolution,[],[f4942,f1023]) ).

fof(f4946,plain,
    ( spl10_50
    | ~ spl10_34
    | spl10_49 ),
    inference(avatar_split_clause,[],[f4945,f1022,f854,f1026]) ).

fof(f5014,plain,
    ! [X0] :
      ( happens(overflow,n2)
      | ~ holdsAt(waterLevel(X0),n3)
      | holdsAt(waterLevel(X0),n2) ),
    inference(resolution,[],[f938,f245]) ).

fof(f5018,plain,
    ( ! [X0] :
        ( holdsAt(waterLevel(X0),n2)
        | ~ holdsAt(waterLevel(X0),n3) )
    | spl10_34 ),
    inference(forward_subsumption_resolution,[],[f5014,f856]) ).

fof(f6761,plain,
    ! [X2,X0,X1] :
      ( stoppedIn(X0,filling,plus(X0,n1))
      | initiates(X1,filling,X0)
      | happens(X2,plus(X0,n1))
      | n0 = n1
      | happens(X1,X0)
      | n0 = plus(X0,n1)
      | n1 = n3
      | holdsAt(waterLevel(n0),X0) ),
    inference(resolution,[],[f1401,f428]) ).

fof(f6812,plain,
    ( ! [X2,X0,X1] :
        ( stoppedIn(X0,filling,plus(X0,n1))
        | initiates(X1,filling,X0)
        | happens(X2,plus(X0,n1))
        | happens(X1,X0)
        | n0 = plus(X0,n1)
        | n1 = n3
        | holdsAt(waterLevel(n0),X0) )
    | spl10_52 ),
    inference(forward_subsumption_resolution,[],[f6761,f1034]) ).

fof(f6849,plain,
    ( ! [X2,X0,X1] :
        ( stoppedIn(X0,filling,plus(X0,n1))
        | initiates(X1,filling,X0)
        | happens(X2,plus(X0,n1))
        | happens(X1,X0)
        | n0 = plus(X0,n1)
        | holdsAt(waterLevel(n0),X0) )
    | spl10_52
    | spl10_96 ),
    inference(forward_subsumption_resolution,[],[f6812,f1982]) ).

fof(f7381,plain,
    ( ! [X0,X1] :
        ( stoppedIn(n0,filling,n1)
        | initiates(X0,filling,n0)
        | happens(X1,n1)
        | happens(X0,n0)
        | n0 = n1
        | holdsAt(waterLevel(n0),n0) )
    | spl10_52
    | spl10_96 ),
    inference(superposition,[],[f6849,f153]) ).

fof(f8012,plain,
    ( less(n3,n2)
    | ~ spl10_101 ),
    inference(superposition,[],[f269,f2047]) ).

fof(f8084,plain,
    ( $false
    | ~ spl10_101 ),
    inference(forward_subsumption_resolution,[],[f8012,f292]) ).

fof(f8085,plain,
    ~ spl10_101,
    inference(avatar_contradiction_clause,[],[f8084]) ).

fof(f10268,plain,
    ( ! [X0] :
        ( ~ holdsAt(waterLevel(n3),n3)
        | n0 = n2
        | happens(X0,n2) )
    | spl10_34 ),
    inference(resolution,[],[f5018,f256]) ).

fof(f10286,plain,
    ( ! [X0] :
        ( n0 = n2
        | happens(X0,n2) )
    | spl10_34 ),
    inference(forward_subsumption_resolution,[],[f10268,f263]) ).

fof(f10290,plain,
    ( ! [X0] : happens(X0,n2)
    | spl10_34
    | spl10_49 ),
    inference(forward_subsumption_resolution,[],[f10286,f1023]) ).

fof(f10291,plain,
    ( spl10_50
    | spl10_34
    | spl10_49 ),
    inference(avatar_split_clause,[],[f10290,f1022,f854,f1026]) ).

fof(f10303,plain,
    ( spl10_200
    | spl10_201
    | ~ spl10_43 ),
    inference(avatar_split_clause,[],[f3895,f926,f3901,f3897]) ).

fof(f10388,plain,
    ( ! [X0,X1] :
        ( stoppedIn(n0,filling,n1)
        | initiates(X0,filling,n0)
        | happens(X1,n1)
        | happens(X0,n0)
        | holdsAt(waterLevel(n0),n0) )
    | spl10_52
    | spl10_96 ),
    inference(forward_subsumption_resolution,[],[f7381,f1034]) ).

fof(f10465,definition,
    ( spl10_374
  <=> stoppedIn(n0,filling,n1) ),
    introduced(definition,[new_symbols(definition,[spl10_374])],[avatar_definition]) ).

fof(f10467,plain,
    ( stoppedIn(n0,filling,n1)
    | ~ spl10_374 ),
    inference(avatar_component_clause,[],[f10465]) ).

fof(f10471,plain,
    ( ! [X0,X1] :
        ( stoppedIn(n0,filling,n1)
        | initiates(X0,filling,n0)
        | happens(X1,n1)
        | happens(X0,n0) )
    | spl10_52
    | spl10_96 ),
    inference(forward_subsumption_resolution,[],[f10388,f260]) ).

fof(f10498,plain,
    ( spl10_53
    | spl10_40
    | spl10_374
    | spl10_52
    | spl10_96 ),
    inference(avatar_split_clause,[],[f10471,f1981,f1033,f10465,f899,f1037]) ).

fof(f10549,plain,
    ( less(n0,sK1(n0,filling,n1))
    | ~ spl10_374 ),
    inference(resolution,[],[f10467,f89]) ).

fof(f10550,plain,
    ( less(sK1(n0,filling,n1),n1)
    | ~ spl10_374 ),
    inference(resolution,[],[f10467,f88]) ).

fof(f10565,plain,
    ( less_or_equal(sK1(n0,filling,n1),n0)
    | ~ spl10_374 ),
    inference(resolution,[],[f10550,f168]) ).

fof(f10660,plain,
    ( less(sK1(n0,filling,n1),n0)
    | n0 = sK1(n0,filling,n1)
    | ~ spl10_374 ),
    inference(resolution,[],[f10565,f163]) ).

fof(f10661,plain,
    ( n0 = sK1(n0,filling,n1)
    | ~ spl10_374 ),
    inference(forward_subsumption_resolution,[],[f10660,f166]) ).

fof(f10664,definition,
    ( spl10_381
  <=> n0 = sK1(n0,filling,n1) ),
    introduced(definition,[new_symbols(definition,[spl10_381])],[avatar_definition]) ).

fof(f10666,plain,
    ( n0 = sK1(n0,filling,n1)
    | ~ spl10_381 ),
    inference(avatar_component_clause,[],[f10664]) ).

fof(f10685,plain,
    ( spl10_381
    | ~ spl10_374 ),
    inference(avatar_split_clause,[],[f10661,f10465,f10664]) ).

fof(f10686,plain,
    ( less(n0,n0)
    | ~ spl10_374
    | ~ spl10_381 ),
    inference(superposition,[],[f10549,f10666]) ).

fof(f10692,plain,
    ( $false
    | ~ spl10_374
    | ~ spl10_381 ),
    inference(forward_subsumption_resolution,[],[f10686,f166]) ).

fof(f10693,plain,
    ( ~ spl10_374
    | ~ spl10_381 ),
    inference(avatar_contradiction_clause,[],[f10692]) ).

cnf(s3,plain,
    ~ spl10_2,
    inference(sat_conversion,[],[f414]) ).

cnf(s22,plain,
    ( spl10_2
    | spl10_25 ),
    inference(sat_conversion,[],[f774]) ).

cnf(s30,plain,
    ( ~ spl10_25
    | spl10_39
    | spl10_40 ),
    inference(sat_conversion,[],[f901]) ).

cnf(s38,plain,
    ~ spl10_40,
    inference(sat_conversion,[],[f979]) ).

cnf(s61,plain,
    ( ~ spl10_39
    | spl10_42
    | spl10_43 ),
    inference(sat_conversion,[],[f1262]) ).

cnf(s89,plain,
    ~ spl10_49,
    inference(sat_conversion,[],[f1601]) ).

cnf(s93,plain,
    ~ spl10_52,
    inference(sat_conversion,[],[f1679]) ).

cnf(s215,plain,
    ( ~ spl10_96
    | spl10_101 ),
    inference(sat_conversion,[],[f2738]) ).

cnf(s297,plain,
    ( ~ spl10_39
    | ~ spl10_201 ),
    inference(sat_conversion,[],[f4175]) ).

cnf(s358,plain,
    ( ~ spl10_39
    | ~ spl10_42
    | ~ spl10_50 ),
    inference(sat_conversion,[],[f4841]) ).

cnf(s374,plain,
    ( ~ spl10_39
    | ~ spl10_53
    | ~ spl10_200 ),
    inference(sat_conversion,[],[f4908]) ).

cnf(s423,plain,
    ( ~ spl10_34
    | spl10_49
    | spl10_50 ),
    inference(sat_conversion,[],[f4946]) ).

cnf(s598,plain,
    ~ spl10_101,
    inference(sat_conversion,[],[f8085]) ).

cnf(s838,plain,
    ( spl10_34
    | spl10_49
    | spl10_50 ),
    inference(sat_conversion,[],[f10291]) ).

cnf(s846,plain,
    ( ~ spl10_43
    | spl10_200
    | spl10_201 ),
    inference(sat_conversion,[],[f10303]) ).

cnf(s903,plain,
    ( spl10_40
    | spl10_52
    | spl10_53
    | spl10_96
    | spl10_374 ),
    inference(sat_conversion,[],[f10498]) ).

cnf(s931,plain,
    ( ~ spl10_374
    | spl10_381 ),
    inference(sat_conversion,[],[f10685]) ).

cnf(s932,plain,
    ( ~ spl10_374
    | ~ spl10_381 ),
    inference(sat_conversion,[],[f10693]) ).

cnf(s978,plain,
    ~ spl10_96,
    inference(rat,[],[s215,s598]) ).

cnf(s1054,plain,
    ( ~ spl10_25
    | spl10_39 ),
    inference(rat,[],[s30,s38]) ).

cnf(s1072,plain,
    spl10_25,
    inference(rat,[],[s22,s3]) ).

cnf(s1073,plain,
    spl10_39,
    inference(rat,[],[s1054,s1072]) ).

cnf(s1074,plain,
    ~ spl10_201,
    inference(rat,[],[s297,s1073]) ).

cnf(s1078,plain,
    ~ spl10_374,
    inference(rat,[],[s931,s932]) ).

cnf(s1079,plain,
    spl10_53,
    inference(rat,[],[s903,s38,s978,s93,s1078]) ).

cnf(s1082,plain,
    ~ spl10_200,
    inference(rat,[],[s374,s1073,s1079]) ).

cnf(s1089,plain,
    ~ spl10_43,
    inference(rat,[],[s846,s1074,s1082]) ).

cnf(s1092,plain,
    spl10_42,
    inference(rat,[],[s61,s1073,s1089]) ).

cnf(s1103,plain,
    ~ spl10_50,
    inference(rat,[],[s358,s1073,s1092]) ).

cnf(s1114,plain,
    spl10_34,
    inference(rat,[],[s838,s89,s1103]) ).

cnf(s1115,plain,
    $false,
    inference(rat,[],[s423,s89,s1103,s1114]) ).

fof(f10694,plain,
    $false,
    inference(avatar_sat_refutation,[],[s1115]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : CSR006+1 : TPTP v9.3.1. Bugfixed v3.1.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.21  % Computer : n014.cluster.edu
% 0.08/0.21  % Model    : x86_64 x86_64
% 0.08/0.21  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.21  % Memory   : 8046.5625MB
% 0.08/0.21  % OS       : Linux 6.8.0-71-generic
% 0.08/0.22  % CPULimit : 300
% 0.08/0.22  % WCLimit  : 300
% 0.08/0.22  % DateTime : Mon Sep 28 22:05:16 UTC 2026
% 0.08/0.22  % CPUTime  : 
% 0.08/0.22  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.27  Running first-order model finding
% 0.08/0.27  Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.02/0.92  % (2235237)Will run a generic schedule for satisfiability detection.
% 4.02/0.92  % (2235242)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=4017913772_2999 on theBenchmark for (2999ds/0Mi)
% 4.02/0.92  % Detected minimum model sizes of [3]
% 4.02/0.92  % Detected maximum model sizes of [max]
% 4.02/0.92  % TRYING [3]
% 4.02/0.92  % (2235246)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2928130493:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 4.02/0.92  % (2235243)% WARNING: option uhcvi not known.
% 4.02/0.92  % TRYING [4]
% 4.02/0.92  % (2235247)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2342895054:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 4.02/0.92  % (2235248)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=4207354933:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 4.02/0.92  % (2235243)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2942028600:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 4.02/0.92  % (2235244)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=514147880:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 4.02/0.92  % (2235245)dis+10_1_sil=32000:sp=arity:random_seed=3942689892:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 4.02/0.92  % TRYING [5]
% 4.02/0.92  % TRYING [6]
% 4.02/0.92  % (2235246)Instruction limit reached! 
% 4.02/0.92  % (2235246)------------------------------
% 4.02/0.92  % (2235246)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.02/0.92  % (2235246)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.02/0.92  % (2235246)CaDiCaL version: 2.1.3
% 4.02/0.92  % (2235246)Termination reason: Instruction limit
% 4.02/0.92  % (2235246)Termination phase: Saturation
% 4.02/0.92  % (2235246)Time elapsed: 0.104 s
% 4.02/0.92  % (2235246)Peak memory usage: 13 MB
% 4.02/0.92  % (2235246)Instructions burned: 116 (million)
% 4.02/0.92  % (2235245)Instruction limit reached! 
% 4.02/0.92  % (2235245)------------------------------
% 4.02/0.92  % (2235245)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.02/0.92  % (2235245)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.02/0.92  % (2235245)CaDiCaL version: 2.1.3
% 4.02/0.92  % (2235245)Termination reason: Instruction limit
% 4.02/0.92  % (2235245)Termination phase: Saturation
% 4.02/0.92  % (2235245)Time elapsed: 0.106 s
% 4.02/0.92  % (2235245)Peak memory usage: 12 MB
% 4.02/0.92  % (2235245)Instructions burned: 103 (million)
% 4.02/0.92  % TRYING [7]
% 4.02/0.92  % (2235258)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=4178712529:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 4.02/0.92  % (2235247)Instruction limit reached! 
% 4.02/0.92  % (2235247)------------------------------
% 4.02/0.92  % (2235247)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.02/0.92  % (2235247)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.02/0.92  % (2235247)CaDiCaL version: 2.1.3
% 4.02/0.92  % (2235247)Termination reason: Instruction limit
% 4.02/0.92  % (2235247)Termination phase: Saturation
% 4.02/0.92  % (2235247)Time elapsed: 0.135 s
% 4.02/0.92  % (2235247)Peak memory usage: 12 MB
% 4.02/0.92  % (2235247)Instructions burned: 131 (million)
% 4.02/0.92  % Detected minimum model sizes of [3]
% 4.02/0.92  % Detected maximum model sizes of [max]
% 4.02/0.92  % TRYING [3]
% 4.02/0.92  % (2235259)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1870420783:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 4.02/0.92  % (2235248)Instruction limit reached! 
% 4.02/0.92  % (2235248)------------------------------
% 4.02/0.92  % (2235248)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.02/0.92  % (2235248)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.02/0.92  % (2235248)CaDiCaL version: 2.1.3
% 4.02/0.92  % (2235248)Termination reason: Instruction limit
% 4.02/0.92  % (2235248)Termination phase: Saturation
% 4.02/0.92  % (2235248)Time elapsed: 0.144 s
% 4.02/0.92  % (2235248)Peak memory usage: 12 MB
% 4.02/0.92  % (2235248)Instructions burned: 159 (million)
% 4.02/0.92  % TRYING [4]
% 4.02/0.92  % (2235261)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=524943190:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 4.02/0.92  % (2235263)ott-21_1_sil=16000:fs=off:random_seed=1746762742:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 4.02/0.92  % TRYING [5]
% 4.02/0.92  % TRYING [8]
% 4.02/0.92  % (2235259)Instruction limit reached! 
% 4.02/0.92  % (2235259)------------------------------
% 4.02/0.92  % (2235259)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.02/0.92  % (2235259)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.02/0.92  % (2235259)CaDiCaL version: 2.1.3
% 4.02/0.92  % (2235259)Termination reason: Instruction limit
% 4.02/0.92  % (2235259)Termination phase: Saturation
% 4.02/0.92  % (2235259)Time elapsed: 0.135 s
% 4.02/0.92  % (2235259)Peak memory usage: 12 MB
% 4.02/0.92  % (2235259)Instructions burned: 131 (million)
% 4.02/0.92  % TRYING [6]
% 4.02/0.92  % (2235269)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2143257773:i=477:bd=all_2996 on theBenchmark for (2996ds/477Mi)
% 4.02/0.92  % (2235263)Instruction limit reached! 
% 4.02/0.92  % (2235263)------------------------------
% 4.02/0.92  % (2235263)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.02/0.92  % (2235263)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.02/0.92  % (2235263)CaDiCaL version: 2.1.3
% 4.02/0.92  % (2235263)Termination reason: Instruction limit
% 4.02/0.92  % (2235263)Termination phase: Saturation
% 4.02/0.92  % (2235263)Time elapsed: 0.170 s
% 4.02/0.92  % (2235263)Peak memory usage: 13 MB
% 4.02/0.92  % (2235263)Instructions burned: 181 (million)
% 4.02/0.92  % (2235273)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=100545172:fmbsr=1.3:i=865:ins=25_2996 on theBenchmark for (2996ds/865Mi)
% 4.02/0.92  % Detected minimum model sizes of [3]
% 4.02/0.92  % Detected maximum model sizes of [max]
% 4.02/0.92  % TRYING [3]
% 4.02/0.92  % TRYING [4]
% 4.02/0.92  % TRYING [9]
% 4.02/0.92  % TRYING [5]
% 4.02/0.92  % TRYING [7]
% 4.02/0.92  % (2235243) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2235237-2235243"...
% 4.02/0.92  % (2235243)...printing done.
% 4.02/0.92  % (2235243)Refutation found. Thanks to Tanya!
% 4.02/0.92  % SZS status Theorem for theBenchmark
% 4.02/0.92  % SZS output start Proof for theBenchmark
% See solution above
% 4.02/0.92  % (2235243)------------------------------
% 4.02/0.92  % (2235243)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.02/0.92  % (2235243)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.02/0.92  % (2235243)CaDiCaL version: 2.1.3
% 4.02/0.92  % (2235243)Termination reason: Refutation
% 4.02/0.92  % (2235243)Time elapsed: 0.591 s
% 4.02/0.92  % (2235243)Peak memory usage: 16 MB
% 4.02/0.92  % (2235243)Instructions burned: 594 (million)
% 4.02/0.92  % (2235237)Success in time 0.642 s
% 4.02/0.92  % Vampire exiting
%------------------------------------------------------------------------------