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Drodi---4.1.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : CSR011+1 : TPTP v9.3.1. Bugfixed v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n003.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 : Thu Sep 24 12:12:49 PM UTC 2026

% Result   : Theorem 171.59s 22.07s
% Output   : CNFRefutation 76.11s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :  121
% Syntax   : Number of formulae    :  583 (  89 unt;  86 def)
%            Number of atoms       : 1491 ( 253 equ)
%            Maximal formula atoms :   11 (   2 avg)
%            Number of connectives : 1546 ( 638   ~; 646   |; 149   &)
%                                         ( 105 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   98 (  96 usr;  84 prp; 0-4 aty)
%            Number of functors    :   25 (  25 usr;  15 con; 0-3 aty)
%            Number of variables   :  432 ( 407   !;  25   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [Time1,Fluent,Time2] :
      ( stoppedIn(Time1,Fluent,Time2)
    <=> ? [Event,Time] :
          ( terminates(Event,Fluent,Time)
          & less(Time,Time2)
          & less(Time1,Time)
          & happens(Event,Time) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f3,axiom,
    ! [Event,Time,Fluent,Fluent2,Offset] :
      ( ( ~ stoppedIn(Time,Fluent,plus(Time,Offset))
        & trajectory(Fluent,Time,Fluent2,Offset)
        & less(n0,Offset)
        & initiates(Event,Fluent,Time)
        & happens(Event,Time) )
     => holdsAt(Fluent2,plus(Time,Offset)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f5,axiom,
    ! [Fluent,Time] :
      ( ( ~ ? [Event] :
              ( terminates(Event,Fluent,Time)
              & happens(Event,Time) )
        & ~ releasedAt(Fluent,plus(Time,n1))
        & holdsAt(Fluent,Time) )
     => holdsAt(Fluent,plus(Time,n1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f6,axiom,
    ! [Fluent,Time] :
      ( ( ~ ? [Event] :
              ( initiates(Event,Fluent,Time)
              & happens(Event,Time) )
        & ~ releasedAt(Fluent,plus(Time,n1))
        & ~ holdsAt(Fluent,Time) )
     => ~ holdsAt(Fluent,plus(Time,n1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f8,axiom,
    ! [Fluent,Time] :
      ( ( ~ ? [Event] :
              ( releases(Event,Fluent,Time)
              & happens(Event,Time) )
        & ~ releasedAt(Fluent,Time) )
     => ~ releasedAt(Fluent,plus(Time,n1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f9,axiom,
    ! [Event,Time,Fluent] :
      ( ( initiates(Event,Fluent,Time)
        & happens(Event,Time) )
     => holdsAt(Fluent,plus(Time,n1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f12,axiom,
    ! [Event,Time,Fluent] :
      ( ( ( terminates(Event,Fluent,Time)
          | initiates(Event,Fluent,Time) )
        & happens(Event,Time) )
     => ~ releasedAt(Fluent,plus(Time,n1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f13,axiom,
    ! [Event,Fluent,Time] :
      ( initiates(Event,Fluent,Time)
    <=> ( ? [Height] :
            ( Fluent = waterLevel(Height)
            & Event = overflow
            & holdsAt(waterLevel(Height),Time) )
        | ? [Height] :
            ( Fluent = waterLevel(Height)
            & Event = tapOff
            & holdsAt(waterLevel(Height),Time) )
        | ( Fluent = spilling
          & Event = overflow )
        | ( Fluent = filling
          & Event = tapOn ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f14,axiom,
    ! [Event,Fluent,Time] :
      ( terminates(Event,Fluent,Time)
    <=> ( ( Fluent = filling
          & Event = overflow )
        | ( Fluent = filling
          & Event = tapOff ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f15,axiom,
    ! [Event,Fluent,Time] :
      ( releases(Event,Fluent,Time)
    <=> ? [Height] :
          ( Fluent = waterLevel(Height)
          & Event = tapOn ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f16,axiom,
    ! [Event,Time] :
      ( happens(Event,Time)
    <=> ( ( Event = overflow
          & holdsAt(filling,Time)
          & holdsAt(waterLevel(n3),Time) )
        | ( Time = n0
          & Event = tapOn ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f17,axiom,
    ! [Height1,Time,Height2,Offset] :
      ( ( Height2 = plus(Height1,Offset)
        & holdsAt(waterLevel(Height1),Time) )
     => trajectory(filling,Time,waterLevel(Height2),Offset) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f18,axiom,
    ! [Time,Height1,Height2] :
      ( ( holdsAt(waterLevel(Height2),Time)
        & holdsAt(waterLevel(Height1),Time) )
     => Height1 = Height2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f19,axiom,
    tapOff != tapOn,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f20,axiom,
    tapOff != overflow,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f22,axiom,
    ! [X] : filling != waterLevel(X),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f23,axiom,
    ! [X] : spilling != waterLevel(X),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

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

fof(f28,axiom,
    plus(n0,n2) = n2,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

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

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

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

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

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

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

fof(f43,axiom,
    ! [X] :
      ( less(X,n5)
    <=> less_or_equal(X,n4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f44,axiom,
    ! [X] :
      ( less(X,n6)
    <=> less_or_equal(X,n5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f45,axiom,
    ! [X] :
      ( less(X,n7)
    <=> less_or_equal(X,n6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f46,axiom,
    ! [X] :
      ( less(X,n8)
    <=> less_or_equal(X,n7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f47,axiom,
    ! [X] :
      ( less(X,n9)
    <=> less_or_equal(X,n8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f48,axiom,
    ! [X,Y] :
      ( less(X,Y)
    <=> ( Y != X
        & ~ less(Y,X) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f49,hypothesis,
    holdsAt(waterLevel(n0),n0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f50,hypothesis,
    ~ holdsAt(filling,n0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f53,hypothesis,
    ~ releasedAt(filling,n0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f55,conjecture,
    ~ stoppedIn(n0,filling,n3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f56,negated_conjecture,
    ~ ~ stoppedIn(n0,filling,n3),
    inference(negated_conjecture,[status(cth)],[f55]) ).

fof(f57,plain,
    ! [Time1,Fluent,Time2] :
      ( ( ! [Event,Time] :
            ( ~ terminates(Event,Fluent,Time)
            | ~ less(Time,Time2)
            | ~ less(Time1,Time)
            | ~ happens(Event,Time) )
        | stoppedIn(Time1,Fluent,Time2) )
      & ( ? [Event,Time] :
            ( terminates(Event,Fluent,Time)
            & less(Time,Time2)
            & less(Time1,Time)
            & happens(Event,Time) )
        | ~ stoppedIn(Time1,Fluent,Time2) ) ),
    inference(NNF_transformation,[status(thm)],[f1]) ).

fof(f58,plain,
    ( ! [Time1,Fluent,Time2] :
        ( ! [Event,Time] :
            ( ~ terminates(Event,Fluent,Time)
            | ~ less(Time,Time2)
            | ~ less(Time1,Time)
            | ~ happens(Event,Time) )
        | stoppedIn(Time1,Fluent,Time2) )
    & ! [Time1,Fluent,Time2] :
        ( ? [Event,Time] :
            ( terminates(Event,Fluent,Time)
            & less(Time,Time2)
            & less(Time1,Time)
            & happens(Event,Time) )
        | ~ stoppedIn(Time1,Fluent,Time2) ) ),
    inference(miniscoping,[status(thm)],[f57]) ).

fof(f59,plain,
    ( ! [Time1,Fluent,Time2] :
        ( ! [Event,Time] :
            ( ~ terminates(Event,Fluent,Time)
            | ~ less(Time,Time2)
            | ~ less(Time1,Time)
            | ~ happens(Event,Time) )
        | stoppedIn(Time1,Fluent,Time2) )
    & ! [Time1,Fluent,Time2] :
        ( ( terminates(sK0_skl(Time2,Fluent,Time1),Fluent,sK1_skl(Time2,Fluent,Time1))
          & less(sK1_skl(Time2,Fluent,Time1),Time2)
          & less(Time1,sK1_skl(Time2,Fluent,Time1))
          & happens(sK0_skl(Time2,Fluent,Time1),sK1_skl(Time2,Fluent,Time1)) )
        | ~ stoppedIn(Time1,Fluent,Time2) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl]),skolemize(Event,sK0_skl(Time2,Fluent,Time1)),skolemize(Time,sK1_skl(Time2,Fluent,Time1))],[f58]) ).

fof(f60,plain,
    ! [X0,X1,X2] :
      ( happens(sK0_skl(X2,X1,X0),sK1_skl(X2,X1,X0))
      | ~ stoppedIn(X0,X1,X2) ),
    inference(cnf_transformation,[status(thm)],[f59]) ).

fof(f61,plain,
    ! [X0,X1,X2] :
      ( less(X0,sK1_skl(X2,X1,X0))
      | ~ stoppedIn(X0,X1,X2) ),
    inference(cnf_transformation,[status(thm)],[f59]) ).

fof(f62,plain,
    ! [X0,X1,X2] :
      ( less(sK1_skl(X2,X1,X0),X2)
      | ~ stoppedIn(X0,X1,X2) ),
    inference(cnf_transformation,[status(thm)],[f59]) ).

fof(f63,plain,
    ! [X0,X1,X2] :
      ( terminates(sK0_skl(X2,X1,X0),X1,sK1_skl(X2,X1,X0))
      | ~ stoppedIn(X0,X1,X2) ),
    inference(cnf_transformation,[status(thm)],[f59]) ).

fof(f73,plain,
    ! [Event,Time,Fluent,Fluent2,Offset] :
      ( holdsAt(Fluent2,plus(Time,Offset))
      | stoppedIn(Time,Fluent,plus(Time,Offset))
      | ~ trajectory(Fluent,Time,Fluent2,Offset)
      | ~ less(n0,Offset)
      | ~ initiates(Event,Fluent,Time)
      | ~ happens(Event,Time) ),
    inference(pre_NNF_transformation,[status(thm)],[f3]) ).

fof(f74,plain,
    ! [Time,Fluent2,Offset] :
      ( holdsAt(Fluent2,plus(Time,Offset))
      | ! [Fluent] :
          ( stoppedIn(Time,Fluent,plus(Time,Offset))
          | ~ trajectory(Fluent,Time,Fluent2,Offset)
          | ~ less(n0,Offset)
          | ! [Event] :
              ( ~ initiates(Event,Fluent,Time)
              | ~ happens(Event,Time) ) ) ),
    inference(miniscoping,[status(thm)],[f73]) ).

fof(f75,plain,
    ! [X0,X1,X2,X3,X4] :
      ( holdsAt(X4,plus(X1,X3))
      | stoppedIn(X1,X2,plus(X1,X3))
      | ~ trajectory(X2,X1,X4,X3)
      | ~ less(n0,X3)
      | ~ initiates(X0,X2,X1)
      | ~ happens(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f74]) ).

fof(f79,plain,
    ! [Fluent,Time] :
      ( holdsAt(Fluent,plus(Time,n1))
      | ? [Event] :
          ( terminates(Event,Fluent,Time)
          & happens(Event,Time) )
      | releasedAt(Fluent,plus(Time,n1))
      | ~ holdsAt(Fluent,Time) ),
    inference(pre_NNF_transformation,[status(thm)],[f5]) ).

fof(f80,plain,
    ! [Fluent,Time] :
      ( holdsAt(Fluent,plus(Time,n1))
      | ( terminates(sK4_skl(Time,Fluent),Fluent,Time)
        & happens(sK4_skl(Time,Fluent),Time) )
      | releasedAt(Fluent,plus(Time,n1))
      | ~ holdsAt(Fluent,Time) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK4_skl]),skolemize(Event,sK4_skl(Time,Fluent))],[f79]) ).

fof(f82,plain,
    ! [X0,X1] :
      ( holdsAt(X0,plus(X1,n1))
      | terminates(sK4_skl(X1,X0),X0,X1)
      | releasedAt(X0,plus(X1,n1))
      | ~ holdsAt(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f80]) ).

fof(f83,plain,
    ! [Fluent,Time] :
      ( ~ holdsAt(Fluent,plus(Time,n1))
      | ? [Event] :
          ( initiates(Event,Fluent,Time)
          & happens(Event,Time) )
      | releasedAt(Fluent,plus(Time,n1))
      | holdsAt(Fluent,Time) ),
    inference(pre_NNF_transformation,[status(thm)],[f6]) ).

fof(f84,plain,
    ! [Fluent,Time] :
      ( ~ holdsAt(Fluent,plus(Time,n1))
      | ( initiates(sK5_skl(Time,Fluent),Fluent,Time)
        & happens(sK5_skl(Time,Fluent),Time) )
      | releasedAt(Fluent,plus(Time,n1))
      | holdsAt(Fluent,Time) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK5_skl]),skolemize(Event,sK5_skl(Time,Fluent))],[f83]) ).

fof(f85,plain,
    ! [X0,X1] :
      ( ~ holdsAt(X0,plus(X1,n1))
      | happens(sK5_skl(X1,X0),X1)
      | releasedAt(X0,plus(X1,n1))
      | holdsAt(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f84]) ).

fof(f91,plain,
    ! [Fluent,Time] :
      ( ~ releasedAt(Fluent,plus(Time,n1))
      | ? [Event] :
          ( releases(Event,Fluent,Time)
          & happens(Event,Time) )
      | releasedAt(Fluent,Time) ),
    inference(pre_NNF_transformation,[status(thm)],[f8]) ).

fof(f92,plain,
    ! [Fluent,Time] :
      ( ~ releasedAt(Fluent,plus(Time,n1))
      | ( releases(sK7_skl(Time,Fluent),Fluent,Time)
        & happens(sK7_skl(Time,Fluent),Time) )
      | releasedAt(Fluent,Time) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK7_skl]),skolemize(Event,sK7_skl(Time,Fluent))],[f91]) ).

fof(f94,plain,
    ! [X0,X1] :
      ( ~ releasedAt(X0,plus(X1,n1))
      | releases(sK7_skl(X1,X0),X0,X1)
      | releasedAt(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f92]) ).

fof(f95,plain,
    ! [Event,Time,Fluent] :
      ( holdsAt(Fluent,plus(Time,n1))
      | ~ initiates(Event,Fluent,Time)
      | ~ happens(Event,Time) ),
    inference(pre_NNF_transformation,[status(thm)],[f9]) ).

fof(f96,plain,
    ! [Time,Fluent] :
      ( holdsAt(Fluent,plus(Time,n1))
      | ! [Event] :
          ( ~ initiates(Event,Fluent,Time)
          | ~ happens(Event,Time) ) ),
    inference(miniscoping,[status(thm)],[f95]) ).

fof(f97,plain,
    ! [X0,X1,X2] :
      ( holdsAt(X2,plus(X1,n1))
      | ~ initiates(X0,X2,X1)
      | ~ happens(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f96]) ).

fof(f104,plain,
    ! [Event,Time,Fluent] :
      ( ~ releasedAt(Fluent,plus(Time,n1))
      | ( ~ terminates(Event,Fluent,Time)
        & ~ initiates(Event,Fluent,Time) )
      | ~ happens(Event,Time) ),
    inference(pre_NNF_transformation,[status(thm)],[f12]) ).

fof(f105,plain,
    ! [Time,Fluent] :
      ( ~ releasedAt(Fluent,plus(Time,n1))
      | ! [Event] :
          ( ( ~ terminates(Event,Fluent,Time)
            & ~ initiates(Event,Fluent,Time) )
          | ~ happens(Event,Time) ) ),
    inference(miniscoping,[status(thm)],[f104]) ).

fof(f106,plain,
    ! [X0,X1,X2] :
      ( ~ releasedAt(X2,plus(X1,n1))
      | ~ initiates(X0,X2,X1)
      | ~ happens(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f105]) ).

fof(f108,definition,
    ! [Event,Fluent,Time] :
      ( sP0_prd(Time,Fluent,Event)
    <=> ( ? [Height] :
            ( Fluent = waterLevel(Height)
            & Event = tapOff
            & holdsAt(waterLevel(Height),Time) )
        | ( Fluent = spilling
          & Event = overflow )
        | ( Fluent = filling
          & Event = tapOn ) ) ),
    introduced(definition,[new_symbols(definition,[sP0_prd])],[]) ).

fof(f109,plain,
    ! [Event,Fluent,Time] :
      ( initiates(Event,Fluent,Time)
    <=> ( ? [Height] :
            ( Fluent = waterLevel(Height)
            & Event = overflow
            & holdsAt(waterLevel(Height),Time) )
        | sP0_prd(Time,Fluent,Event) ) ),
    inference(formula_renaming,[status(thm)],[f13,f108]) ).

fof(f110,plain,
    ! [Event,Fluent,Time] :
      ( ( ( ! [Height] :
              ( Fluent != waterLevel(Height)
              | Event != overflow
              | ~ holdsAt(waterLevel(Height),Time) )
          & ~ sP0_prd(Time,Fluent,Event) )
        | initiates(Event,Fluent,Time) )
      & ( ? [Height] :
            ( Fluent = waterLevel(Height)
            & Event = overflow
            & holdsAt(waterLevel(Height),Time) )
        | sP0_prd(Time,Fluent,Event)
        | ~ initiates(Event,Fluent,Time) ) ),
    inference(NNF_transformation,[status(thm)],[f109]) ).

fof(f111,plain,
    ( ! [Event,Fluent,Time] :
        ( ( ! [Height] :
              ( Fluent != waterLevel(Height)
              | Event != overflow
              | ~ holdsAt(waterLevel(Height),Time) )
          & ~ sP0_prd(Time,Fluent,Event) )
        | initiates(Event,Fluent,Time) )
    & ! [Event,Fluent,Time] :
        ( ? [Height] :
            ( Fluent = waterLevel(Height)
            & Event = overflow
            & holdsAt(waterLevel(Height),Time) )
        | sP0_prd(Time,Fluent,Event)
        | ~ initiates(Event,Fluent,Time) ) ),
    inference(miniscoping,[status(thm)],[f110]) ).

fof(f112,plain,
    ( ! [Event,Fluent,Time] :
        ( ( ! [Height] :
              ( Fluent != waterLevel(Height)
              | Event != overflow
              | ~ holdsAt(waterLevel(Height),Time) )
          & ~ sP0_prd(Time,Fluent,Event) )
        | initiates(Event,Fluent,Time) )
    & ! [Event,Fluent,Time] :
        ( ( Fluent = waterLevel(sK8_skl(Time,Fluent,Event))
          & Event = overflow
          & holdsAt(waterLevel(sK8_skl(Time,Fluent,Event)),Time) )
        | sP0_prd(Time,Fluent,Event)
        | ~ initiates(Event,Fluent,Time) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK8_skl]),skolemize(Height,sK8_skl(Time,Fluent,Event))],[f111]) ).

fof(f116,plain,
    ! [X0,X1,X2] :
      ( ~ sP0_prd(X2,X1,X0)
      | initiates(X0,X1,X2) ),
    inference(cnf_transformation,[status(thm)],[f112]) ).

fof(f117,plain,
    ! [X0,X1,X2,X3] :
      ( X1 != waterLevel(X3)
      | X0 != overflow
      | ~ holdsAt(waterLevel(X3),X2)
      | initiates(X0,X1,X2) ),
    inference(cnf_transformation,[status(thm)],[f112]) ).

fof(f118,plain,
    ! [Event,Fluent,Time] :
      ( ( ( ( Fluent != filling
            | Event != overflow )
          & ( Fluent != filling
            | Event != tapOff ) )
        | terminates(Event,Fluent,Time) )
      & ( ( Fluent = filling
          & Event = overflow )
        | ( Fluent = filling
          & Event = tapOff )
        | ~ terminates(Event,Fluent,Time) ) ),
    inference(NNF_transformation,[status(thm)],[f14]) ).

fof(f119,plain,
    ( ! [Event,Fluent] :
        ( ( ( Fluent != filling
            | Event != overflow )
          & ( Fluent != filling
            | Event != tapOff ) )
        | ! [Time] : terminates(Event,Fluent,Time) )
    & ! [Event,Fluent] :
        ( ( Fluent = filling
          & Event = overflow )
        | ( Fluent = filling
          & Event = tapOff )
        | ! [Time] : ~ terminates(Event,Fluent,Time) ) ),
    inference(miniscoping,[status(thm)],[f118]) ).

fof(f120,plain,
    ! [X0,X1,X2] :
      ( X0 = overflow
      | X0 = tapOff
      | ~ terminates(X0,X1,X2) ),
    inference(cnf_transformation,[status(thm)],[f119]) ).

fof(f123,plain,
    ! [X0,X1,X2] :
      ( X1 = filling
      | X1 = filling
      | ~ terminates(X0,X1,X2) ),
    inference(cnf_transformation,[status(thm)],[f119]) ).

fof(f126,plain,
    ! [Event,Fluent,Time] :
      ( ( ! [Height] :
            ( Fluent != waterLevel(Height)
            | Event != tapOn )
        | releases(Event,Fluent,Time) )
      & ( ? [Height] :
            ( Fluent = waterLevel(Height)
            & Event = tapOn )
        | ~ releases(Event,Fluent,Time) ) ),
    inference(NNF_transformation,[status(thm)],[f15]) ).

fof(f127,plain,
    ( ! [Event,Fluent] :
        ( ! [Height] : Fluent != waterLevel(Height)
        | Event != tapOn
        | ! [Time] : releases(Event,Fluent,Time) )
    & ! [Event,Fluent] :
        ( ( ? [Height] : Fluent = waterLevel(Height)
          & Event = tapOn )
        | ! [Time] : ~ releases(Event,Fluent,Time) ) ),
    inference(miniscoping,[status(thm)],[f126]) ).

fof(f128,plain,
    ( ! [Event,Fluent] :
        ( ! [Height] : Fluent != waterLevel(Height)
        | Event != tapOn
        | ! [Time] : releases(Event,Fluent,Time) )
    & ! [Event,Fluent] :
        ( ( Fluent = waterLevel(sK9_skl(Fluent,Event))
          & Event = tapOn )
        | ! [Time] : ~ releases(Event,Fluent,Time) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK9_skl]),skolemize(Height,sK9_skl(Fluent,Event))],[f127]) ).

fof(f130,plain,
    ! [X0,X1,X2] :
      ( X1 = waterLevel(sK9_skl(X1,X0))
      | ~ releases(X0,X1,X2) ),
    inference(cnf_transformation,[status(thm)],[f128]) ).

fof(f132,definition,
    ! [Event,Time] :
      ( sP1_prd(Time,Event)
    <=> ( Time = n0
        & Event = tapOn ) ),
    introduced(definition,[new_symbols(definition,[sP1_prd])],[]) ).

fof(f133,plain,
    ! [Event,Time] :
      ( happens(Event,Time)
    <=> ( ( Event = overflow
          & holdsAt(filling,Time)
          & holdsAt(waterLevel(n3),Time) )
        | sP1_prd(Time,Event) ) ),
    inference(formula_renaming,[status(thm)],[f16,f132]) ).

fof(f134,plain,
    ! [Event,Time] :
      ( ( ( ( Event != overflow
            | ~ holdsAt(filling,Time)
            | ~ holdsAt(waterLevel(n3),Time) )
          & ~ sP1_prd(Time,Event) )
        | happens(Event,Time) )
      & ( ( Event = overflow
          & holdsAt(filling,Time)
          & holdsAt(waterLevel(n3),Time) )
        | sP1_prd(Time,Event)
        | ~ happens(Event,Time) ) ),
    inference(NNF_transformation,[status(thm)],[f133]) ).

fof(f135,plain,
    ( ! [Event,Time] :
        ( ( ( Event != overflow
            | ~ holdsAt(filling,Time)
            | ~ holdsAt(waterLevel(n3),Time) )
          & ~ sP1_prd(Time,Event) )
        | happens(Event,Time) )
    & ! [Event,Time] :
        ( ( Event = overflow
          & holdsAt(filling,Time)
          & holdsAt(waterLevel(n3),Time) )
        | sP1_prd(Time,Event)
        | ~ happens(Event,Time) ) ),
    inference(miniscoping,[status(thm)],[f134]) ).

fof(f136,plain,
    ! [X0,X1] :
      ( holdsAt(waterLevel(n3),X1)
      | sP1_prd(X1,X0)
      | ~ happens(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f135]) ).

fof(f137,plain,
    ! [X0,X1] :
      ( holdsAt(filling,X1)
      | sP1_prd(X1,X0)
      | ~ happens(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f135]) ).

fof(f138,plain,
    ! [X0,X1] :
      ( X0 = overflow
      | sP1_prd(X1,X0)
      | ~ happens(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f135]) ).

fof(f139,plain,
    ! [X0,X1] :
      ( ~ sP1_prd(X1,X0)
      | happens(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f135]) ).

fof(f141,plain,
    ! [Height1,Time,Height2,Offset] :
      ( trajectory(filling,Time,waterLevel(Height2),Offset)
      | Height2 != plus(Height1,Offset)
      | ~ holdsAt(waterLevel(Height1),Time) ),
    inference(pre_NNF_transformation,[status(thm)],[f17]) ).

fof(f142,plain,
    ! [Time,Height2,Offset] :
      ( trajectory(filling,Time,waterLevel(Height2),Offset)
      | ! [Height1] :
          ( Height2 != plus(Height1,Offset)
          | ~ holdsAt(waterLevel(Height1),Time) ) ),
    inference(miniscoping,[status(thm)],[f141]) ).

fof(f143,plain,
    ! [X0,X1,X2,X3] :
      ( trajectory(filling,X1,waterLevel(X2),X3)
      | X2 != plus(X0,X3)
      | ~ holdsAt(waterLevel(X0),X1) ),
    inference(cnf_transformation,[status(thm)],[f142]) ).

fof(f144,plain,
    ! [Time,Height1,Height2] :
      ( Height1 = Height2
      | ~ holdsAt(waterLevel(Height2),Time)
      | ~ holdsAt(waterLevel(Height1),Time) ),
    inference(pre_NNF_transformation,[status(thm)],[f18]) ).

fof(f145,plain,
    ! [Height1,Height2] :
      ( Height1 = Height2
      | ! [Time] :
          ( ~ holdsAt(waterLevel(Height2),Time)
          | ~ holdsAt(waterLevel(Height1),Time) ) ),
    inference(miniscoping,[status(thm)],[f144]) ).

fof(f146,plain,
    ! [X0,X1,X2] :
      ( X0 = X2
      | ~ holdsAt(waterLevel(X2),X1)
      | ~ holdsAt(waterLevel(X0),X1) ),
    inference(cnf_transformation,[status(thm)],[f145]) ).

fof(f147,plain,
    tapOff != tapOn,
    inference(cnf_transformation,[status(thm)],[f19]) ).

fof(f148,plain,
    tapOff != overflow,
    inference(cnf_transformation,[status(thm)],[f20]) ).

fof(f150,plain,
    ! [X0] : filling != waterLevel(X0),
    inference(cnf_transformation,[status(thm)],[f22]) ).

fof(f151,plain,
    ! [X0] : spilling != waterLevel(X0),
    inference(cnf_transformation,[status(thm)],[f23]) ).

fof(f158,plain,
    plus(n0,n1) = n1,
    inference(cnf_transformation,[status(thm)],[f27]) ).

fof(f159,plain,
    plus(n0,n2) = n2,
    inference(cnf_transformation,[status(thm)],[f28]) ).

fof(f168,plain,
    ! [X,Y] :
      ( ( ( X != Y
          & ~ less(X,Y) )
        | less_or_equal(X,Y) )
      & ( X = Y
        | less(X,Y)
        | ~ less_or_equal(X,Y) ) ),
    inference(NNF_transformation,[status(thm)],[f37]) ).

fof(f169,plain,
    ( ! [X,Y] :
        ( ( X != Y
          & ~ less(X,Y) )
        | less_or_equal(X,Y) )
    & ! [X,Y] :
        ( X = Y
        | less(X,Y)
        | ~ less_or_equal(X,Y) ) ),
    inference(miniscoping,[status(thm)],[f168]) ).

fof(f170,plain,
    ! [X0,X1] :
      ( X0 = X1
      | less(X0,X1)
      | ~ less_or_equal(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f169]) ).

fof(f171,plain,
    ! [X0,X1] :
      ( ~ less(X0,X1)
      | less_or_equal(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f169]) ).

fof(f172,plain,
    ! [X0,X1] :
      ( X0 != X1
      | less_or_equal(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f169]) ).

fof(f173,plain,
    ! [X] : ~ less(X,n0),
    inference(pre_NNF_transformation,[status(thm)],[f38]) ).

fof(f174,plain,
    ! [X0] : ~ less(X0,n0),
    inference(cnf_transformation,[status(thm)],[f173]) ).

fof(f175,plain,
    ! [X] :
      ( ( ~ less_or_equal(X,n0)
        | less(X,n1) )
      & ( less_or_equal(X,n0)
        | ~ less(X,n1) ) ),
    inference(NNF_transformation,[status(thm)],[f39]) ).

fof(f176,plain,
    ( ! [X] :
        ( ~ less_or_equal(X,n0)
        | less(X,n1) )
    & ! [X] :
        ( less_or_equal(X,n0)
        | ~ less(X,n1) ) ),
    inference(miniscoping,[status(thm)],[f175]) ).

fof(f177,plain,
    ! [X0] :
      ( less_or_equal(X0,n0)
      | ~ less(X0,n1) ),
    inference(cnf_transformation,[status(thm)],[f176]) ).

fof(f178,plain,
    ! [X0] :
      ( ~ less_or_equal(X0,n0)
      | less(X0,n1) ),
    inference(cnf_transformation,[status(thm)],[f176]) ).

fof(f179,plain,
    ! [X] :
      ( ( ~ less_or_equal(X,n1)
        | less(X,n2) )
      & ( less_or_equal(X,n1)
        | ~ less(X,n2) ) ),
    inference(NNF_transformation,[status(thm)],[f40]) ).

fof(f180,plain,
    ( ! [X] :
        ( ~ less_or_equal(X,n1)
        | less(X,n2) )
    & ! [X] :
        ( less_or_equal(X,n1)
        | ~ less(X,n2) ) ),
    inference(miniscoping,[status(thm)],[f179]) ).

fof(f181,plain,
    ! [X0] :
      ( less_or_equal(X0,n1)
      | ~ less(X0,n2) ),
    inference(cnf_transformation,[status(thm)],[f180]) ).

fof(f182,plain,
    ! [X0] :
      ( ~ less_or_equal(X0,n1)
      | less(X0,n2) ),
    inference(cnf_transformation,[status(thm)],[f180]) ).

fof(f183,plain,
    ! [X] :
      ( ( ~ less_or_equal(X,n2)
        | less(X,n3) )
      & ( less_or_equal(X,n2)
        | ~ less(X,n3) ) ),
    inference(NNF_transformation,[status(thm)],[f41]) ).

fof(f184,plain,
    ( ! [X] :
        ( ~ less_or_equal(X,n2)
        | less(X,n3) )
    & ! [X] :
        ( less_or_equal(X,n2)
        | ~ less(X,n3) ) ),
    inference(miniscoping,[status(thm)],[f183]) ).

fof(f185,plain,
    ! [X0] :
      ( less_or_equal(X0,n2)
      | ~ less(X0,n3) ),
    inference(cnf_transformation,[status(thm)],[f184]) ).

fof(f186,plain,
    ! [X0] :
      ( ~ less_or_equal(X0,n2)
      | less(X0,n3) ),
    inference(cnf_transformation,[status(thm)],[f184]) ).

fof(f187,plain,
    ! [X] :
      ( ( ~ less_or_equal(X,n3)
        | less(X,n4) )
      & ( less_or_equal(X,n3)
        | ~ less(X,n4) ) ),
    inference(NNF_transformation,[status(thm)],[f42]) ).

fof(f188,plain,
    ( ! [X] :
        ( ~ less_or_equal(X,n3)
        | less(X,n4) )
    & ! [X] :
        ( less_or_equal(X,n3)
        | ~ less(X,n4) ) ),
    inference(miniscoping,[status(thm)],[f187]) ).

fof(f190,plain,
    ! [X0] :
      ( ~ less_or_equal(X0,n3)
      | less(X0,n4) ),
    inference(cnf_transformation,[status(thm)],[f188]) ).

fof(f191,plain,
    ! [X] :
      ( ( ~ less_or_equal(X,n4)
        | less(X,n5) )
      & ( less_or_equal(X,n4)
        | ~ less(X,n5) ) ),
    inference(NNF_transformation,[status(thm)],[f43]) ).

fof(f192,plain,
    ( ! [X] :
        ( ~ less_or_equal(X,n4)
        | less(X,n5) )
    & ! [X] :
        ( less_or_equal(X,n4)
        | ~ less(X,n5) ) ),
    inference(miniscoping,[status(thm)],[f191]) ).

fof(f194,plain,
    ! [X0] :
      ( ~ less_or_equal(X0,n4)
      | less(X0,n5) ),
    inference(cnf_transformation,[status(thm)],[f192]) ).

fof(f195,plain,
    ! [X] :
      ( ( ~ less_or_equal(X,n5)
        | less(X,n6) )
      & ( less_or_equal(X,n5)
        | ~ less(X,n6) ) ),
    inference(NNF_transformation,[status(thm)],[f44]) ).

fof(f196,plain,
    ( ! [X] :
        ( ~ less_or_equal(X,n5)
        | less(X,n6) )
    & ! [X] :
        ( less_or_equal(X,n5)
        | ~ less(X,n6) ) ),
    inference(miniscoping,[status(thm)],[f195]) ).

fof(f198,plain,
    ! [X0] :
      ( ~ less_or_equal(X0,n5)
      | less(X0,n6) ),
    inference(cnf_transformation,[status(thm)],[f196]) ).

fof(f199,plain,
    ! [X] :
      ( ( ~ less_or_equal(X,n6)
        | less(X,n7) )
      & ( less_or_equal(X,n6)
        | ~ less(X,n7) ) ),
    inference(NNF_transformation,[status(thm)],[f45]) ).

fof(f200,plain,
    ( ! [X] :
        ( ~ less_or_equal(X,n6)
        | less(X,n7) )
    & ! [X] :
        ( less_or_equal(X,n6)
        | ~ less(X,n7) ) ),
    inference(miniscoping,[status(thm)],[f199]) ).

fof(f202,plain,
    ! [X0] :
      ( ~ less_or_equal(X0,n6)
      | less(X0,n7) ),
    inference(cnf_transformation,[status(thm)],[f200]) ).

fof(f203,plain,
    ! [X] :
      ( ( ~ less_or_equal(X,n7)
        | less(X,n8) )
      & ( less_or_equal(X,n7)
        | ~ less(X,n8) ) ),
    inference(NNF_transformation,[status(thm)],[f46]) ).

fof(f204,plain,
    ( ! [X] :
        ( ~ less_or_equal(X,n7)
        | less(X,n8) )
    & ! [X] :
        ( less_or_equal(X,n7)
        | ~ less(X,n8) ) ),
    inference(miniscoping,[status(thm)],[f203]) ).

fof(f206,plain,
    ! [X0] :
      ( ~ less_or_equal(X0,n7)
      | less(X0,n8) ),
    inference(cnf_transformation,[status(thm)],[f204]) ).

fof(f207,plain,
    ! [X] :
      ( ( ~ less_or_equal(X,n8)
        | less(X,n9) )
      & ( less_or_equal(X,n8)
        | ~ less(X,n9) ) ),
    inference(NNF_transformation,[status(thm)],[f47]) ).

fof(f208,plain,
    ( ! [X] :
        ( ~ less_or_equal(X,n8)
        | less(X,n9) )
    & ! [X] :
        ( less_or_equal(X,n8)
        | ~ less(X,n9) ) ),
    inference(miniscoping,[status(thm)],[f207]) ).

fof(f210,plain,
    ! [X0] :
      ( ~ less_or_equal(X0,n8)
      | less(X0,n9) ),
    inference(cnf_transformation,[status(thm)],[f208]) ).

fof(f211,plain,
    ! [X,Y] :
      ( ( Y = X
        | less(Y,X)
        | less(X,Y) )
      & ( ( Y != X
          & ~ less(Y,X) )
        | ~ less(X,Y) ) ),
    inference(NNF_transformation,[status(thm)],[f48]) ).

fof(f212,plain,
    ( ! [X,Y] :
        ( Y = X
        | less(Y,X)
        | less(X,Y) )
    & ! [X,Y] :
        ( ( Y != X
          & ~ less(Y,X) )
        | ~ less(X,Y) ) ),
    inference(miniscoping,[status(thm)],[f211]) ).

fof(f213,plain,
    ! [X0,X1] :
      ( ~ less(X1,X0)
      | ~ less(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f212]) ).

fof(f214,plain,
    ! [X0,X1] :
      ( X1 != X0
      | ~ less(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f212]) ).

fof(f215,plain,
    ! [X0,X1] :
      ( X1 = X0
      | less(X1,X0)
      | less(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f212]) ).

fof(f216,plain,
    holdsAt(waterLevel(n0),n0),
    inference(cnf_transformation,[status(thm)],[f49]) ).

fof(f217,plain,
    ~ holdsAt(filling,n0),
    inference(cnf_transformation,[status(thm)],[f50]) ).

fof(f220,plain,
    ~ releasedAt(filling,n0),
    inference(cnf_transformation,[status(thm)],[f53]) ).

fof(f222,plain,
    stoppedIn(n0,filling,n3),
    inference(cnf_transformation,[status(thm)],[f56]) ).

fof(f223,definition,
    ! [Event,Fluent] :
      ( sP2_prd(Fluent,Event)
    <=> ( ( Fluent = spilling
          & Event = overflow )
        | ( Fluent = filling
          & Event = tapOn ) ) ),
    introduced(definition,[new_symbols(definition,[sP2_prd])],[]) ).

fof(f224,plain,
    ! [Event,Fluent,Time] :
      ( sP0_prd(Time,Fluent,Event)
    <=> ( ? [Height] :
            ( Fluent = waterLevel(Height)
            & Event = tapOff
            & holdsAt(waterLevel(Height),Time) )
        | sP2_prd(Fluent,Event) ) ),
    inference(formula_renaming,[status(thm)],[f108,f223]) ).

fof(f225,plain,
    ! [Event,Fluent,Time] :
      ( ( ( ! [Height] :
              ( Fluent != waterLevel(Height)
              | Event != tapOff
              | ~ holdsAt(waterLevel(Height),Time) )
          & ~ sP2_prd(Fluent,Event) )
        | sP0_prd(Time,Fluent,Event) )
      & ( ? [Height] :
            ( Fluent = waterLevel(Height)
            & Event = tapOff
            & holdsAt(waterLevel(Height),Time) )
        | sP2_prd(Fluent,Event)
        | ~ sP0_prd(Time,Fluent,Event) ) ),
    inference(NNF_transformation,[status(thm)],[f224]) ).

fof(f226,plain,
    ( ! [Event,Fluent,Time] :
        ( ( ! [Height] :
              ( Fluent != waterLevel(Height)
              | Event != tapOff
              | ~ holdsAt(waterLevel(Height),Time) )
          & ~ sP2_prd(Fluent,Event) )
        | sP0_prd(Time,Fluent,Event) )
    & ! [Event,Fluent,Time] :
        ( ? [Height] :
            ( Fluent = waterLevel(Height)
            & Event = tapOff
            & holdsAt(waterLevel(Height),Time) )
        | sP2_prd(Fluent,Event)
        | ~ sP0_prd(Time,Fluent,Event) ) ),
    inference(miniscoping,[status(thm)],[f225]) ).

fof(f227,plain,
    ( ! [Event,Fluent,Time] :
        ( ( ! [Height] :
              ( Fluent != waterLevel(Height)
              | Event != tapOff
              | ~ holdsAt(waterLevel(Height),Time) )
          & ~ sP2_prd(Fluent,Event) )
        | sP0_prd(Time,Fluent,Event) )
    & ! [Event,Fluent,Time] :
        ( ( Fluent = waterLevel(sK10_skl(Time,Fluent,Event))
          & Event = tapOff
          & holdsAt(waterLevel(sK10_skl(Time,Fluent,Event)),Time) )
        | sP2_prd(Fluent,Event)
        | ~ sP0_prd(Time,Fluent,Event) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK10_skl]),skolemize(Height,sK10_skl(Time,Fluent,Event))],[f226]) ).

fof(f231,plain,
    ! [X0,X1,X2] :
      ( ~ sP2_prd(X1,X2)
      | sP0_prd(X0,X1,X2) ),
    inference(cnf_transformation,[status(thm)],[f227]) ).

fof(f233,plain,
    ! [Event,Time] :
      ( ( Time != n0
        | Event != tapOn
        | sP1_prd(Time,Event) )
      & ( ( Time = n0
          & Event = tapOn )
        | ~ sP1_prd(Time,Event) ) ),
    inference(NNF_transformation,[status(thm)],[f132]) ).

fof(f234,plain,
    ( ! [Event,Time] :
        ( Time != n0
        | Event != tapOn
        | sP1_prd(Time,Event) )
    & ! [Event,Time] :
        ( ( Time = n0
          & Event = tapOn )
        | ~ sP1_prd(Time,Event) ) ),
    inference(miniscoping,[status(thm)],[f233]) ).

fof(f235,plain,
    ! [X0,X1] :
      ( X1 = tapOn
      | ~ sP1_prd(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f234]) ).

fof(f236,plain,
    ! [X0,X1] :
      ( X0 = n0
      | ~ sP1_prd(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f234]) ).

fof(f237,plain,
    ! [X0,X1] :
      ( X0 != n0
      | X1 != tapOn
      | sP1_prd(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f234]) ).

fof(f238,plain,
    ! [Event,Fluent] :
      ( ( ( ( Fluent != spilling
            | Event != overflow )
          & ( Fluent != filling
            | Event != tapOn ) )
        | sP2_prd(Fluent,Event) )
      & ( ( Fluent = spilling
          & Event = overflow )
        | ( Fluent = filling
          & Event = tapOn )
        | ~ sP2_prd(Fluent,Event) ) ),
    inference(NNF_transformation,[status(thm)],[f223]) ).

fof(f239,plain,
    ( ! [Event,Fluent] :
        ( ( ( Fluent != spilling
            | Event != overflow )
          & ( Fluent != filling
            | Event != tapOn ) )
        | sP2_prd(Fluent,Event) )
    & ! [Event,Fluent] :
        ( ( Fluent = spilling
          & Event = overflow )
        | ( Fluent = filling
          & Event = tapOn )
        | ~ sP2_prd(Fluent,Event) ) ),
    inference(miniscoping,[status(thm)],[f238]) ).

fof(f244,plain,
    ! [X0,X1] :
      ( X0 != filling
      | X1 != tapOn
      | sP2_prd(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f239]) ).

fof(f246,plain,
    ! [X0,X1] :
      ( ~ holdsAt(waterLevel(X0),X1)
      | initiates(overflow,waterLevel(X0),X1) ),
    inference(destructive_equality_resolution,[status(thm)],[f117]) ).

fof(f247,plain,
    ! [X0,X1,X2] :
      ( X1 = filling
      | ~ terminates(X0,X1,X2) ),
    inference(duplicate_literals_removal,[status(thm)],[f123]) ).

fof(f252,plain,
    ! [X0,X1,X2] :
      ( trajectory(filling,X1,waterLevel(plus(X0,X2)),X2)
      | ~ holdsAt(waterLevel(X0),X1) ),
    inference(destructive_equality_resolution,[status(thm)],[f143]) ).

fof(f253,plain,
    ! [X0] : less_or_equal(X0,X0),
    inference(destructive_equality_resolution,[status(thm)],[f172]) ).

fof(f254,plain,
    ! [X0] : ~ less(X0,X0),
    inference(destructive_equality_resolution,[status(thm)],[f214]) ).

fof(f256,plain,
    sP1_prd(n0,tapOn),
    inference(destructive_equality_resolution,[status(thm)],[f237]) ).

fof(f257,plain,
    sP2_prd(filling,tapOn),
    inference(destructive_equality_resolution,[status(thm)],[f244]) ).

fof(f260,plain,
    less(n0,sK1_skl(n3,filling,n0)),
    inference(resolution,[status(thm)],[f61,f222]) ).

fof(f261,plain,
    less(n0,n1),
    inference(resolution,[status(thm)],[f253,f178]) ).

fof(f268,plain,
    less(sK1_skl(n3,filling,n0),n3),
    inference(resolution,[status(thm)],[f62,f222]) ).

fof(f279,definition,
    ( sQ1_spl
  <=> stoppedIn(n0,filling,n3) ),
    introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).

fof(f281,plain,
    ( sQ1_spl
    | ~ stoppedIn(n0,filling,n3) ),
    inference(component_clause,[status(thm)],[f279]) ).

fof(f302,plain,
    ! [X0] :
      ( ~ less(X0,n1)
      | X0 = n0
      | less(X0,n0) ),
    inference(resolution,[status(thm)],[f170,f177]) ).

fof(f305,plain,
    ! [X0] :
      ( ~ less(X0,n1)
      | X0 = n0 ),
    inference(forward_subsumption_resolution,[status(thm)],[f302,f174]) ).

fof(f308,plain,
    less(n1,n2),
    inference(resolution,[status(thm)],[f182,f253]) ).

fof(f314,plain,
    ~ less(n2,n1),
    inference(resolution,[status(thm)],[f308,f213]) ).

fof(f319,plain,
    ! [X0] :
      ( X0 = n2
      | less(X0,n2)
      | ~ less(X0,n3) ),
    inference(resolution,[status(thm)],[f185,f170]) ).

fof(f321,plain,
    ! [X0] :
      ( ~ less(X0,n2)
      | less(X0,n3) ),
    inference(resolution,[status(thm)],[f186,f171]) ).

fof(f322,plain,
    less(n2,n3),
    inference(resolution,[status(thm)],[f186,f253]) ).

fof(f330,definition,
    ( sQ2_spl
  <=> releasedAt(waterLevel(n0),plus(n0,n1)) ),
    introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).

fof(f336,definition,
    ( sQ4_spl
  <=> holdsAt(waterLevel(n0),plus(n0,n1)) ),
    introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).

fof(f337,plain,
    ( ~ sQ4_spl
    | holdsAt(waterLevel(n0),plus(n0,n1)) ),
    inference(component_clause,[status(thm)],[f336]) ).

fof(f340,plain,
    ( ~ sQ4_spl
    | holdsAt(waterLevel(n0),n1) ),
    inference(forward_demodulation,[status(thm)],[f158,f337]) ).

fof(f365,plain,
    ! [X0] :
      ( ~ less(X0,n3)
      | less(X0,n4) ),
    inference(resolution,[status(thm)],[f190,f171]) ).

fof(f373,plain,
    ! [X0] :
      ( ~ less(X0,n4)
      | less(X0,n5) ),
    inference(resolution,[status(thm)],[f194,f171]) ).

fof(f374,plain,
    less(n4,n5),
    inference(resolution,[status(thm)],[f194,f253]) ).

fof(f379,plain,
    ! [X0] :
      ( ~ less(X0,n5)
      | less(X0,n6) ),
    inference(resolution,[status(thm)],[f198,f171]) ).

fof(f385,plain,
    ( holdsAt(waterLevel(n0),plus(n0,n1))
    | terminates(sK4_skl(n0,waterLevel(n0)),waterLevel(n0),n0)
    | releasedAt(waterLevel(n0),plus(n0,n1)) ),
    inference(resolution,[status(thm)],[f82,f216]) ).

fof(f386,definition,
    ( sQ11_spl
  <=> terminates(sK4_skl(n0,waterLevel(n0)),waterLevel(n0),n0) ),
    introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).

fof(f387,plain,
    ( ~ sQ11_spl
    | terminates(sK4_skl(n0,waterLevel(n0)),waterLevel(n0),n0) ),
    inference(component_clause,[status(thm)],[f386]) ).

fof(f389,plain,
    ( sQ4_spl
    | sQ11_spl
    | sQ2_spl ),
    inference(split_clause,[status(thm)],[f385,f330,f386,f336]) ).

fof(f400,plain,
    ( ~ sQ11_spl
    | waterLevel(n0) = filling ),
    inference(resolution,[status(thm)],[f387,f247]) ).

fof(f401,plain,
    ( ~ sQ11_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f400,f150]) ).

fof(f402,plain,
    ~ sQ11_spl,
    inference(contradiction_clause,[status(thm)],[f401]) ).

fof(f460,plain,
    ! [X0] :
      ( ~ less(X0,n6)
      | less(X0,n7) ),
    inference(resolution,[status(thm)],[f202,f171]) ).

fof(f466,plain,
    ! [X0] :
      ( ~ less(X0,n7)
      | less(X0,n8) ),
    inference(resolution,[status(thm)],[f206,f171]) ).

fof(f467,plain,
    less(n7,n8),
    inference(resolution,[status(thm)],[f206,f253]) ).

fof(f472,plain,
    ! [X0] :
      ( ~ less(X0,n8)
      | less(X0,n9) ),
    inference(resolution,[status(thm)],[f210,f171]) ).

fof(f505,plain,
    ! [X0] :
      ( X0 = n0
      | less(n0,X0) ),
    inference(resolution,[status(thm)],[f215,f174]) ).

fof(f564,definition,
    ( sQ35_spl
  <=> n3 = n2 ),
    introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).

fof(f565,plain,
    ( ~ sQ35_spl
    | n3 = n2 ),
    inference(component_clause,[status(thm)],[f564]) ).

fof(f599,plain,
    ( ~ sQ35_spl
    | less(n3,n3) ),
    inference(backward_demodulation,[status(thm)],[f565,f322]) ).

fof(f715,plain,
    ( ~ sQ35_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f599,f254]) ).

fof(f716,plain,
    ~ sQ35_spl,
    inference(contradiction_clause,[status(thm)],[f715]) ).

fof(f864,definition,
    ( sQ38_spl
  <=> sK1_skl(n3,filling,n0) = n0 ),
    introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).

fof(f865,plain,
    ( ~ sQ38_spl
    | sK1_skl(n3,filling,n0) = n0 ),
    inference(component_clause,[status(thm)],[f864]) ).

fof(f871,definition,
    ( sQ40_spl
  <=> n1 = n0 ),
    introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).

fof(f872,plain,
    ( ~ sQ40_spl
    | n1 = n0 ),
    inference(component_clause,[status(thm)],[f871]) ).

fof(f885,plain,
    ( ~ sQ38_spl
    | less(n0,n0) ),
    inference(backward_demodulation,[status(thm)],[f865,f260]) ).

fof(f913,plain,
    ( ~ sQ40_spl
    | less(n0,n0) ),
    inference(backward_demodulation,[status(thm)],[f872,f261]) ).

fof(f960,plain,
    ( ~ sQ38_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f885,f174]) ).

fof(f961,plain,
    ~ sQ38_spl,
    inference(contradiction_clause,[status(thm)],[f960]) ).

fof(f1036,plain,
    ( sQ1_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f281,f222]) ).

fof(f1037,plain,
    sQ1_spl,
    inference(contradiction_clause,[status(thm)],[f1036]) ).

fof(f1129,plain,
    ! [X0,X1,X2] :
      ( ~ stoppedIn(X2,X1,X0)
      | sK0_skl(X0,X1,X2) = overflow
      | sK0_skl(X0,X1,X2) = tapOff ),
    inference(resolution,[status(thm)],[f120,f63]) ).

fof(f1132,definition,
    ( sQ52_spl
  <=> overflow = tapOff ),
    introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition]) ).

fof(f1133,plain,
    ( ~ sQ52_spl
    | overflow = tapOff ),
    inference(component_clause,[status(thm)],[f1132]) ).

fof(f1140,plain,
    ( ~ sQ52_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f1133,f148]) ).

fof(f1141,plain,
    ~ sQ52_spl,
    inference(contradiction_clause,[status(thm)],[f1140]) ).

fof(f1170,plain,
    less(n1,n3),
    inference(resolution,[status(thm)],[f321,f308]) ).

fof(f1177,definition,
    ( sQ55_spl
  <=> n2 = n0 ),
    introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition]) ).

fof(f1178,plain,
    ( ~ sQ55_spl
    | n2 = n0 ),
    inference(component_clause,[status(thm)],[f1177]) ).

fof(f1199,plain,
    ( ~ sQ55_spl
    | less(n1,n0) ),
    inference(backward_demodulation,[status(thm)],[f1178,f308]) ).

fof(f1285,plain,
    ( ~ sQ55_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f1199,f174]) ).

fof(f1286,plain,
    ~ sQ55_spl,
    inference(contradiction_clause,[status(thm)],[f1285]) ).

fof(f1319,plain,
    ! [X0] :
      ( sP1_prd(n0,X0)
      | ~ happens(X0,n0) ),
    inference(resolution,[status(thm)],[f137,f217]) ).

fof(f1505,definition,
    ( sQ63_spl
  <=> n3 = n1 ),
    introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition]) ).

fof(f1506,plain,
    ( ~ sQ63_spl
    | n3 = n1 ),
    inference(component_clause,[status(thm)],[f1505]) ).

fof(f1510,plain,
    ( ~ sQ63_spl
    | less(n1,n1) ),
    inference(backward_demodulation,[status(thm)],[f1506,f1170]) ).

fof(f1587,plain,
    ( ~ sQ63_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f1510,f254]) ).

fof(f1588,plain,
    ~ sQ63_spl,
    inference(contradiction_clause,[status(thm)],[f1587]) ).

fof(f1602,plain,
    ! [X0] : trajectory(filling,n0,waterLevel(plus(n0,X0)),X0),
    inference(resolution,[status(thm)],[f252,f216]) ).

fof(f1650,plain,
    ! [X0,X1] :
      ( holdsAt(waterLevel(plus(n0,X1)),plus(n0,X1))
      | stoppedIn(n0,filling,plus(n0,X1))
      | ~ less(n0,X1)
      | ~ initiates(X0,filling,n0)
      | ~ happens(X0,n0) ),
    inference(resolution,[status(thm)],[f1602,f75]) ).

fof(f1656,definition,
    ! [X0] :
      ( sQ66_spl
    <=> ( ~ initiates(X0,filling,n0)
        | ~ happens(X0,n0) ) ),
    introduced(definition,[new_symbols(definition,[sQ66_spl])],[split_symbol_definition]) ).

fof(f1657,plain,
    ! [X0] :
      ( ~ sQ66_spl
      | ~ initiates(X0,filling,n0)
      | ~ happens(X0,n0) ),
    inference(component_clause,[status(thm)],[f1656]) ).

fof(f1659,definition,
    ! [X1] :
      ( sQ67_spl
    <=> ( holdsAt(waterLevel(plus(n0,X1)),plus(n0,X1))
        | stoppedIn(n0,filling,plus(n0,X1))
        | ~ less(n0,X1) ) ),
    introduced(definition,[new_symbols(definition,[sQ67_spl])],[split_symbol_definition]) ).

fof(f1660,plain,
    ! [X0] :
      ( ~ sQ67_spl
      | holdsAt(waterLevel(plus(n0,X0)),plus(n0,X0))
      | stoppedIn(n0,filling,plus(n0,X0))
      | ~ less(n0,X0) ),
    inference(component_clause,[status(thm)],[f1659]) ).

fof(f1662,plain,
    ( sQ67_spl
    | sQ66_spl ),
    inference(split_clause,[status(thm)],[f1650,f1656,f1659]) ).

fof(f1670,plain,
    trajectory(filling,n0,waterLevel(n2),n2),
    inference(paramodulation,[status(thm)],[f159,f1602]) ).

fof(f1766,definition,
    ( sQ75_spl
  <=> sK1_skl(n3,filling,n0) = n1 ),
    introduced(definition,[new_symbols(definition,[sQ75_spl])],[split_symbol_definition]) ).

fof(f1767,plain,
    ( ~ sQ75_spl
    | sK1_skl(n3,filling,n0) = n1 ),
    inference(component_clause,[status(thm)],[f1766]) ).

fof(f1839,plain,
    ( ~ sQ75_spl
    | happens(sK0_skl(n3,filling,n0),n1)
    | ~ stoppedIn(n0,filling,n3) ),
    inference(paramodulation,[status(thm)],[f1767,f60]) ).

fof(f1844,definition,
    ( sQ79_spl
  <=> happens(sK0_skl(n3,filling,n0),n1) ),
    introduced(definition,[new_symbols(definition,[sQ79_spl])],[split_symbol_definition]) ).

fof(f1845,plain,
    ( ~ sQ79_spl
    | happens(sK0_skl(n3,filling,n0),n1) ),
    inference(component_clause,[status(thm)],[f1844]) ).

fof(f1847,plain,
    ( ~ sQ75_spl
    | sQ79_spl
    | ~ sQ1_spl ),
    inference(split_clause,[status(thm)],[f1839,f279,f1844,f1766]) ).

fof(f2086,plain,
    ! [X0] :
      ( ~ sQ4_spl
      | X0 = n0
      | ~ holdsAt(waterLevel(X0),n1) ),
    inference(resolution,[status(thm)],[f340,f146]) ).

fof(f2098,definition,
    ( sQ82_spl
  <=> less(n0,n1) ),
    introduced(definition,[new_symbols(definition,[sQ82_spl])],[split_symbol_definition]) ).

fof(f2100,plain,
    ( sQ82_spl
    | ~ less(n0,n1) ),
    inference(component_clause,[status(thm)],[f2098]) ).

fof(f2104,definition,
    ( sQ84_spl
  <=> holdsAt(waterLevel(n1),plus(n0,n1)) ),
    introduced(definition,[new_symbols(definition,[sQ84_spl])],[split_symbol_definition]) ).

fof(f2105,plain,
    ( ~ sQ84_spl
    | holdsAt(waterLevel(n1),plus(n0,n1)) ),
    inference(component_clause,[status(thm)],[f2104]) ).

fof(f2106,plain,
    ( sQ84_spl
    | ~ holdsAt(waterLevel(n1),plus(n0,n1)) ),
    inference(component_clause,[status(thm)],[f2104]) ).

fof(f2108,plain,
    ( ~ sQ84_spl
    | holdsAt(waterLevel(n1),n1) ),
    inference(forward_demodulation,[status(thm)],[f158,f2105]) ).

fof(f2110,plain,
    ( sQ82_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f2100,f261]) ).

fof(f2111,plain,
    sQ82_spl,
    inference(contradiction_clause,[status(thm)],[f2110]) ).

fof(f2175,definition,
    ( sQ88_spl
  <=> sP1_prd(n1,sK0_skl(n3,filling,n0)) ),
    introduced(definition,[new_symbols(definition,[sQ88_spl])],[split_symbol_definition]) ).

fof(f2176,plain,
    ( ~ sQ88_spl
    | sP1_prd(n1,sK0_skl(n3,filling,n0)) ),
    inference(component_clause,[status(thm)],[f2175]) ).

fof(f2177,plain,
    ( sQ88_spl
    | ~ sP1_prd(n1,sK0_skl(n3,filling,n0)) ),
    inference(component_clause,[status(thm)],[f2175]) ).

fof(f2178,definition,
    ( sQ89_spl
  <=> sK0_skl(n3,filling,n0) = overflow ),
    introduced(definition,[new_symbols(definition,[sQ89_spl])],[split_symbol_definition]) ).

fof(f2179,plain,
    ( ~ sQ89_spl
    | sK0_skl(n3,filling,n0) = overflow ),
    inference(component_clause,[status(thm)],[f2178]) ).

fof(f2182,plain,
    ( ~ sQ79_spl
    | ~ sQ89_spl
    | happens(overflow,n1) ),
    inference(backward_demodulation,[status(thm)],[f2179,f1845]) ).

fof(f2196,plain,
    ( ~ sQ88_spl
    | n1 = n0 ),
    inference(resolution,[status(thm)],[f2176,f236]) ).

fof(f2198,plain,
    ( ~ sQ88_spl
    | sQ40_spl ),
    inference(split_clause,[status(thm)],[f2196,f871,f2175]) ).

fof(f2206,plain,
    ( sQ88_spl
    | ~ sQ89_spl
    | ~ sP1_prd(n1,overflow) ),
    inference(backward_demodulation,[status(thm)],[f2179,f2177]) ).

fof(f2215,definition,
    ( sQ90_spl
  <=> sP1_prd(n1,overflow) ),
    introduced(definition,[new_symbols(definition,[sQ90_spl])],[split_symbol_definition]) ).

fof(f2216,plain,
    ( ~ sQ90_spl
    | sP1_prd(n1,overflow) ),
    inference(component_clause,[status(thm)],[f2215]) ).

fof(f2221,plain,
    ( ~ sQ4_spl
    | ~ sQ84_spl
    | n1 = n0 ),
    inference(resolution,[status(thm)],[f2108,f2086]) ).

fof(f2222,plain,
    ! [X0] :
      ( ~ sQ84_spl
      | X0 = n1
      | ~ holdsAt(waterLevel(X0),n1) ),
    inference(resolution,[status(thm)],[f2108,f146]) ).

fof(f2224,plain,
    ( ~ sQ4_spl
    | ~ sQ84_spl
    | sQ40_spl ),
    inference(split_clause,[status(thm)],[f2221,f871,f2104,f336]) ).

fof(f2225,plain,
    ( sQ84_spl
    | ~ holdsAt(waterLevel(n1),n1) ),
    inference(forward_demodulation,[status(thm)],[f158,f2106]) ).

fof(f2270,plain,
    less(n7,n9),
    inference(resolution,[status(thm)],[f472,f467]) ).

fof(f2407,plain,
    ! [X0] :
      ( ~ holdsAt(X0,plus(n0,n1))
      | happens(sK5_skl(n0,X0),n0)
      | releasedAt(X0,n1)
      | holdsAt(X0,n0) ),
    inference(paramodulation,[status(thm)],[f158,f85]) ).

fof(f2411,plain,
    ! [X0] :
      ( ~ holdsAt(X0,n1)
      | happens(sK5_skl(n0,X0),n0)
      | releasedAt(X0,n1)
      | holdsAt(X0,n0) ),
    inference(forward_demodulation,[status(thm)],[f158,f2407]) ).

fof(f2430,definition,
    ( sQ103_spl
  <=> sP1_prd(sK1_skl(n3,filling,n0),overflow) ),
    introduced(definition,[new_symbols(definition,[sQ103_spl])],[split_symbol_definition]) ).

fof(f2431,plain,
    ( ~ sQ103_spl
    | sP1_prd(sK1_skl(n3,filling,n0),overflow) ),
    inference(component_clause,[status(thm)],[f2430]) ).

fof(f2432,plain,
    ( sQ103_spl
    | ~ sP1_prd(sK1_skl(n3,filling,n0),overflow) ),
    inference(component_clause,[status(thm)],[f2430]) ).

fof(f2434,plain,
    ( ~ sQ103_spl
    | sK1_skl(n3,filling,n0) = n0 ),
    inference(resolution,[status(thm)],[f2431,f236]) ).

fof(f2436,plain,
    ( ~ sQ103_spl
    | sQ38_spl ),
    inference(split_clause,[status(thm)],[f2434,f864,f2430]) ).

fof(f2457,plain,
    ! [X0] :
      ( holdsAt(waterLevel(n2),plus(n0,n2))
      | stoppedIn(n0,filling,plus(n0,n2))
      | ~ less(n0,n2)
      | ~ initiates(X0,filling,n0)
      | ~ happens(X0,n0) ),
    inference(resolution,[status(thm)],[f1670,f75]) ).

fof(f2458,definition,
    ( sQ105_spl
  <=> less(n0,n2) ),
    introduced(definition,[new_symbols(definition,[sQ105_spl])],[split_symbol_definition]) ).

fof(f2460,plain,
    ( sQ105_spl
    | ~ less(n0,n2) ),
    inference(component_clause,[status(thm)],[f2458]) ).

fof(f2461,definition,
    ( sQ106_spl
  <=> stoppedIn(n0,filling,plus(n0,n2)) ),
    introduced(definition,[new_symbols(definition,[sQ106_spl])],[split_symbol_definition]) ).

fof(f2462,plain,
    ( ~ sQ106_spl
    | stoppedIn(n0,filling,plus(n0,n2)) ),
    inference(component_clause,[status(thm)],[f2461]) ).

fof(f2464,definition,
    ( sQ107_spl
  <=> holdsAt(waterLevel(n2),plus(n0,n2)) ),
    introduced(definition,[new_symbols(definition,[sQ107_spl])],[split_symbol_definition]) ).

fof(f2465,plain,
    ( ~ sQ107_spl
    | holdsAt(waterLevel(n2),plus(n0,n2)) ),
    inference(component_clause,[status(thm)],[f2464]) ).

fof(f2467,plain,
    ( sQ107_spl
    | sQ106_spl
    | ~ sQ105_spl
    | sQ66_spl ),
    inference(split_clause,[status(thm)],[f2457,f1656,f2458,f2461,f2464]) ).

fof(f2468,plain,
    ( ~ sQ107_spl
    | holdsAt(waterLevel(n2),n2) ),
    inference(forward_demodulation,[status(thm)],[f159,f2465]) ).

fof(f2469,plain,
    ( ~ sQ106_spl
    | stoppedIn(n0,filling,n2) ),
    inference(forward_demodulation,[status(thm)],[f159,f2462]) ).

fof(f2470,plain,
    ( sQ105_spl
    | n2 = n0 ),
    inference(resolution,[status(thm)],[f2460,f505]) ).

fof(f2472,plain,
    ( sQ105_spl
    | sQ55_spl ),
    inference(split_clause,[status(thm)],[f2470,f1177,f2458]) ).

fof(f2483,plain,
    ! [X0] :
      ( ~ sQ107_spl
      | X0 = n2
      | ~ holdsAt(waterLevel(X0),n2) ),
    inference(resolution,[status(thm)],[f2468,f146]) ).

fof(f2486,plain,
    ( ~ sQ106_spl
    | less(sK1_skl(n2,filling,n0),n2) ),
    inference(resolution,[status(thm)],[f2469,f62]) ).

fof(f2523,plain,
    ! [X0] :
      ( X0 = n1
      | less(X0,n1)
      | ~ less(X0,n2) ),
    inference(resolution,[status(thm)],[f181,f170]) ).

fof(f2534,plain,
    less(sK1_skl(n3,filling,n0),n4),
    inference(resolution,[status(thm)],[f365,f268]) ).

fof(f2808,plain,
    ( ~ releasedAt(filling,plus(n0,n1))
    | releases(sK7_skl(n0,filling),filling,n0) ),
    inference(resolution,[status(thm)],[f94,f220]) ).

fof(f2817,definition,
    ( sQ118_spl
  <=> releases(sK7_skl(n0,filling),filling,n0) ),
    introduced(definition,[new_symbols(definition,[sQ118_spl])],[split_symbol_definition]) ).

fof(f2818,plain,
    ( ~ sQ118_spl
    | releases(sK7_skl(n0,filling),filling,n0) ),
    inference(component_clause,[status(thm)],[f2817]) ).

fof(f2820,definition,
    ( sQ119_spl
  <=> releasedAt(filling,plus(n0,n1)) ),
    introduced(definition,[new_symbols(definition,[sQ119_spl])],[split_symbol_definition]) ).

fof(f2822,plain,
    ( sQ119_spl
    | ~ releasedAt(filling,plus(n0,n1)) ),
    inference(component_clause,[status(thm)],[f2820]) ).

fof(f2823,plain,
    ( ~ sQ119_spl
    | sQ118_spl ),
    inference(split_clause,[status(thm)],[f2808,f2817,f2820]) ).

fof(f2824,plain,
    ( sQ119_spl
    | ~ releasedAt(filling,n1) ),
    inference(forward_demodulation,[status(thm)],[f158,f2822]) ).

fof(f2846,plain,
    ( sQ119_spl
    | ~ holdsAt(filling,n1)
    | happens(sK5_skl(n0,filling),n0)
    | holdsAt(filling,n0) ),
    inference(resolution,[status(thm)],[f2824,f2411]) ).

fof(f2848,definition,
    ( sQ120_spl
  <=> holdsAt(filling,n0) ),
    introduced(definition,[new_symbols(definition,[sQ120_spl])],[split_symbol_definition]) ).

fof(f2849,plain,
    ( ~ sQ120_spl
    | holdsAt(filling,n0) ),
    inference(component_clause,[status(thm)],[f2848]) ).

fof(f2854,definition,
    ( sQ122_spl
  <=> holdsAt(filling,n1) ),
    introduced(definition,[new_symbols(definition,[sQ122_spl])],[split_symbol_definition]) ).

fof(f2856,plain,
    ( sQ122_spl
    | ~ holdsAt(filling,n1) ),
    inference(component_clause,[status(thm)],[f2854]) ).

fof(f2862,definition,
    ( sQ124_spl
  <=> happens(sK5_skl(n0,filling),n0) ),
    introduced(definition,[new_symbols(definition,[sQ124_spl])],[split_symbol_definition]) ).

fof(f2863,plain,
    ( ~ sQ124_spl
    | happens(sK5_skl(n0,filling),n0) ),
    inference(component_clause,[status(thm)],[f2862]) ).

fof(f2865,plain,
    ( sQ119_spl
    | ~ sQ122_spl
    | sQ124_spl
    | sQ120_spl ),
    inference(split_clause,[status(thm)],[f2846,f2848,f2862,f2854,f2820]) ).

fof(f2926,plain,
    ( ~ sQ118_spl
    | filling = waterLevel(sK9_skl(filling,sK7_skl(n0,filling))) ),
    inference(resolution,[status(thm)],[f2818,f130]) ).

fof(f2932,plain,
    ( ~ sQ118_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f2926,f150]) ).

fof(f2933,plain,
    ~ sQ118_spl,
    inference(contradiction_clause,[status(thm)],[f2932]) ).

fof(f3086,plain,
    ( ~ sQ66_spl
    | ~ sQ124_spl
    | ~ initiates(sK5_skl(n0,filling),filling,n0) ),
    inference(resolution,[status(thm)],[f2863,f1657]) ).

fof(f3087,plain,
    ( ~ sQ124_spl
    | sP1_prd(n0,sK5_skl(n0,filling)) ),
    inference(resolution,[status(thm)],[f2863,f1319]) ).

fof(f3104,plain,
    ( ~ sQ120_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f2849,f217]) ).

fof(f3105,plain,
    ~ sQ120_spl,
    inference(contradiction_clause,[status(thm)],[f3104]) ).

fof(f3175,plain,
    less(n4,n6),
    inference(resolution,[status(thm)],[f379,f374]) ).

fof(f3314,definition,
    ( sQ155_spl
  <=> happens(tapOff,sK1_skl(n3,filling,n0)) ),
    introduced(definition,[new_symbols(definition,[sQ155_spl])],[split_symbol_definition]) ).

fof(f3315,plain,
    ( ~ sQ155_spl
    | happens(tapOff,sK1_skl(n3,filling,n0)) ),
    inference(component_clause,[status(thm)],[f3314]) ).

fof(f3410,plain,
    ( ~ sQ124_spl
    | sK5_skl(n0,filling) = tapOn ),
    inference(resolution,[status(thm)],[f3087,f235]) ).

fof(f3414,plain,
    ( ~ sQ66_spl
    | ~ sQ124_spl
    | ~ initiates(tapOn,filling,n0) ),
    inference(backward_demodulation,[status(thm)],[f3410,f3086]) ).

fof(f3433,definition,
    ( sQ173_spl
  <=> happens(overflow,n1) ),
    introduced(definition,[new_symbols(definition,[sQ173_spl])],[split_symbol_definition]) ).

fof(f3434,plain,
    ( ~ sQ173_spl
    | happens(overflow,n1) ),
    inference(component_clause,[status(thm)],[f3433]) ).

fof(f3435,plain,
    ( sQ173_spl
    | ~ happens(overflow,n1) ),
    inference(component_clause,[status(thm)],[f3433]) ).

fof(f3441,plain,
    ( sQ173_spl
    | ~ sQ79_spl
    | ~ sQ89_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f3435,f2182]) ).

fof(f3442,plain,
    ( sQ173_spl
    | ~ sQ79_spl
    | ~ sQ89_spl ),
    inference(contradiction_clause,[status(thm)],[f3441]) ).

fof(f3565,definition,
    ( sQ180_spl
  <=> initiates(tapOn,filling,n0) ),
    introduced(definition,[new_symbols(definition,[sQ180_spl])],[split_symbol_definition]) ).

fof(f3566,plain,
    ( ~ sQ180_spl
    | initiates(tapOn,filling,n0) ),
    inference(component_clause,[status(thm)],[f3565]) ).

fof(f3567,plain,
    ( sQ180_spl
    | ~ initiates(tapOn,filling,n0) ),
    inference(component_clause,[status(thm)],[f3565]) ).

fof(f3568,definition,
    ( sQ181_spl
  <=> holdsAt(filling,plus(n0,n1)) ),
    introduced(definition,[new_symbols(definition,[sQ181_spl])],[split_symbol_definition]) ).

fof(f3569,plain,
    ( ~ sQ181_spl
    | holdsAt(filling,plus(n0,n1)) ),
    inference(component_clause,[status(thm)],[f3568]) ).

fof(f3577,plain,
    ( ~ sQ181_spl
    | holdsAt(filling,n1) ),
    inference(forward_demodulation,[status(thm)],[f158,f3569]) ).

fof(f3578,plain,
    ( ~ sQ181_spl
    | sQ122_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f3577,f2856]) ).

fof(f3579,plain,
    ( ~ sQ181_spl
    | sQ122_spl ),
    inference(contradiction_clause,[status(thm)],[f3578]) ).

fof(f3604,plain,
    ( ~ sQ180_spl
    | holdsAt(filling,plus(n0,n1))
    | ~ happens(tapOn,n0) ),
    inference(resolution,[status(thm)],[f3566,f97]) ).

fof(f3607,definition,
    ( sQ182_spl
  <=> happens(tapOn,n0) ),
    introduced(definition,[new_symbols(definition,[sQ182_spl])],[split_symbol_definition]) ).

fof(f3609,plain,
    ( sQ182_spl
    | ~ happens(tapOn,n0) ),
    inference(component_clause,[status(thm)],[f3607]) ).

fof(f3610,plain,
    ( ~ sQ180_spl
    | sQ181_spl
    | ~ sQ182_spl ),
    inference(split_clause,[status(thm)],[f3604,f3607,f3568,f3565]) ).

fof(f3618,plain,
    ( ~ sQ66_spl
    | ~ sQ124_spl
    | ~ sP0_prd(n0,filling,tapOn) ),
    inference(resolution,[status(thm)],[f3414,f116]) ).

fof(f3621,plain,
    ( ~ sQ66_spl
    | ~ sQ124_spl
    | ~ sP2_prd(filling,tapOn) ),
    inference(resolution,[status(thm)],[f3618,f231]) ).

fof(f3622,definition,
    ( sQ184_spl
  <=> filling = waterLevel(sK8_skl(n0,filling,tapOn)) ),
    introduced(definition,[new_symbols(definition,[sQ184_spl])],[split_symbol_definition]) ).

fof(f3623,plain,
    ( ~ sQ184_spl
    | filling = waterLevel(sK8_skl(n0,filling,tapOn)) ),
    inference(component_clause,[status(thm)],[f3622]) ).

fof(f3627,plain,
    ( ~ sQ66_spl
    | ~ sQ124_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f3621,f257]) ).

fof(f3628,plain,
    ( ~ sQ66_spl
    | ~ sQ124_spl ),
    inference(contradiction_clause,[status(thm)],[f3627]) ).

fof(f3629,plain,
    ( sQ180_spl
    | ~ sP0_prd(n0,filling,tapOn) ),
    inference(resolution,[status(thm)],[f3567,f116]) ).

fof(f3632,plain,
    ( sQ180_spl
    | ~ sP2_prd(filling,tapOn) ),
    inference(resolution,[status(thm)],[f3629,f231]) ).

fof(f3635,plain,
    ( sQ180_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f3632,f257]) ).

fof(f3636,plain,
    sQ180_spl,
    inference(contradiction_clause,[status(thm)],[f3635]) ).

fof(f3672,plain,
    ! [X0] :
      ( ~ sQ107_spl
      | n3 = n2
      | sP1_prd(n2,X0)
      | ~ happens(X0,n2) ),
    inference(resolution,[status(thm)],[f136,f2483]) ).

fof(f3677,definition,
    ! [X0] :
      ( sQ189_spl
    <=> ( sP1_prd(n2,X0)
        | ~ happens(X0,n2) ) ),
    introduced(definition,[new_symbols(definition,[sQ189_spl])],[split_symbol_definition]) ).

fof(f3678,plain,
    ! [X0] :
      ( ~ sQ189_spl
      | sP1_prd(n2,X0)
      | ~ happens(X0,n2) ),
    inference(component_clause,[status(thm)],[f3677]) ).

fof(f3680,plain,
    ( ~ sQ107_spl
    | sQ35_spl
    | sQ189_spl ),
    inference(split_clause,[status(thm)],[f3672,f3677,f564,f2464]) ).

fof(f4182,definition,
    ( sQ213_spl
  <=> happens(overflow,n2) ),
    introduced(definition,[new_symbols(definition,[sQ213_spl])],[split_symbol_definition]) ).

fof(f4183,plain,
    ( ~ sQ213_spl
    | happens(overflow,n2) ),
    inference(component_clause,[status(thm)],[f4182]) ).

fof(f4222,definition,
    ( sQ219_spl
  <=> tapOn = tapOff ),
    introduced(definition,[new_symbols(definition,[sQ219_spl])],[split_symbol_definition]) ).

fof(f4223,plain,
    ( ~ sQ219_spl
    | tapOn = tapOff ),
    inference(component_clause,[status(thm)],[f4222]) ).

fof(f4231,plain,
    ( ~ sQ219_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f4223,f147]) ).

fof(f4232,plain,
    ~ sQ219_spl,
    inference(contradiction_clause,[status(thm)],[f4231]) ).

fof(f4238,plain,
    less(sK1_skl(n3,filling,n0),n5),
    inference(resolution,[status(thm)],[f373,f2534]) ).

fof(f4645,definition,
    ( sQ233_spl
  <=> happens(overflow,n0) ),
    introduced(definition,[new_symbols(definition,[sQ233_spl])],[split_symbol_definition]) ).

fof(f4647,plain,
    ( sQ233_spl
    | ~ happens(overflow,n0) ),
    inference(component_clause,[status(thm)],[f4645]) ).

fof(f4856,plain,
    ( ~ sQ67_spl
    | holdsAt(waterLevel(plus(n0,n2)),plus(n0,n2))
    | stoppedIn(n0,filling,n2)
    | ~ less(n0,n2) ),
    inference(paramodulation,[status(thm)],[f159,f1660]) ).

fof(f4857,plain,
    ( ~ sQ67_spl
    | holdsAt(waterLevel(plus(n0,n1)),plus(n0,n1))
    | stoppedIn(n0,filling,n1)
    | ~ less(n0,n1) ),
    inference(paramodulation,[status(thm)],[f158,f1660]) ).

fof(f4869,definition,
    ( sQ245_spl
  <=> stoppedIn(n0,filling,n2) ),
    introduced(definition,[new_symbols(definition,[sQ245_spl])],[split_symbol_definition]) ).

fof(f4872,definition,
    ( sQ246_spl
  <=> holdsAt(waterLevel(plus(n0,n2)),plus(n0,n2)) ),
    introduced(definition,[new_symbols(definition,[sQ246_spl])],[split_symbol_definition]) ).

fof(f4873,plain,
    ( ~ sQ246_spl
    | holdsAt(waterLevel(plus(n0,n2)),plus(n0,n2)) ),
    inference(component_clause,[status(thm)],[f4872]) ).

fof(f4875,plain,
    ( ~ sQ67_spl
    | sQ246_spl
    | sQ245_spl
    | ~ sQ105_spl ),
    inference(split_clause,[status(thm)],[f4856,f2458,f4869,f4872,f1659]) ).

fof(f4876,definition,
    ( sQ247_spl
  <=> stoppedIn(n0,filling,n1) ),
    introduced(definition,[new_symbols(definition,[sQ247_spl])],[split_symbol_definition]) ).

fof(f4877,plain,
    ( ~ sQ247_spl
    | stoppedIn(n0,filling,n1) ),
    inference(component_clause,[status(thm)],[f4876]) ).

fof(f4879,definition,
    ( sQ248_spl
  <=> holdsAt(waterLevel(plus(n0,n1)),plus(n0,n1)) ),
    introduced(definition,[new_symbols(definition,[sQ248_spl])],[split_symbol_definition]) ).

fof(f4880,plain,
    ( ~ sQ248_spl
    | holdsAt(waterLevel(plus(n0,n1)),plus(n0,n1)) ),
    inference(component_clause,[status(thm)],[f4879]) ).

fof(f4882,plain,
    ( ~ sQ67_spl
    | sQ248_spl
    | sQ247_spl
    | ~ sQ82_spl ),
    inference(split_clause,[status(thm)],[f4857,f2098,f4876,f4879,f1659]) ).

fof(f4894,plain,
    ( ~ sQ248_spl
    | holdsAt(waterLevel(n1),plus(n0,n1)) ),
    inference(forward_demodulation,[status(thm)],[f158,f4880]) ).

fof(f4895,plain,
    ( ~ sQ248_spl
    | holdsAt(waterLevel(n1),n1) ),
    inference(forward_demodulation,[status(thm)],[f158,f4894]) ).

fof(f4896,plain,
    ( ~ sQ248_spl
    | sQ84_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f4895,f2225]) ).

fof(f4897,plain,
    ( ~ sQ248_spl
    | sQ84_spl ),
    inference(contradiction_clause,[status(thm)],[f4896]) ).

fof(f4898,plain,
    ( ~ sQ246_spl
    | holdsAt(waterLevel(n2),plus(n0,n2)) ),
    inference(forward_demodulation,[status(thm)],[f159,f4873]) ).

fof(f4899,plain,
    ( ~ sQ246_spl
    | holdsAt(waterLevel(n2),n2) ),
    inference(forward_demodulation,[status(thm)],[f159,f4898]) ).

fof(f4980,definition,
    ( sQ252_spl
  <=> sP1_prd(n2,overflow) ),
    introduced(definition,[new_symbols(definition,[sQ252_spl])],[split_symbol_definition]) ).

fof(f5692,definition,
    ( sQ275_spl
  <=> spilling = waterLevel(sK8_skl(n2,spilling,overflow)) ),
    introduced(definition,[new_symbols(definition,[sQ275_spl])],[split_symbol_definition]) ).

fof(f5693,plain,
    ( ~ sQ275_spl
    | spilling = waterLevel(sK8_skl(n2,spilling,overflow)) ),
    inference(component_clause,[status(thm)],[f5692]) ).

fof(f5713,plain,
    ( ~ sQ213_spl
    | ~ sQ189_spl
    | sP1_prd(n2,overflow) ),
    inference(resolution,[status(thm)],[f3678,f4183]) ).

fof(f5717,plain,
    ( ~ sQ213_spl
    | ~ sQ189_spl
    | sQ252_spl ),
    inference(split_clause,[status(thm)],[f5713,f4980,f3677,f4182]) ).

fof(f5748,plain,
    ! [X0] :
      ( ~ sQ246_spl
      | X0 = n2
      | ~ holdsAt(waterLevel(X0),n2) ),
    inference(resolution,[status(thm)],[f4899,f146]) ).

fof(f5834,plain,
    ! [X0] :
      ( ~ sQ246_spl
      | sP1_prd(n2,X0)
      | ~ happens(X0,n2)
      | n3 = n2 ),
    inference(resolution,[status(thm)],[f5748,f136]) ).

fof(f5837,plain,
    ( ~ sQ246_spl
    | sQ189_spl
    | sQ35_spl ),
    inference(split_clause,[status(thm)],[f5834,f564,f3677,f4872]) ).

fof(f7547,plain,
    ( sK0_skl(n3,filling,n0) = overflow
    | sK0_skl(n3,filling,n0) = tapOff ),
    inference(resolution,[status(thm)],[f1129,f222]) ).

fof(f7548,plain,
    ( ~ sQ106_spl
    | sK0_skl(n2,filling,n0) = overflow
    | sK0_skl(n2,filling,n0) = tapOff ),
    inference(resolution,[status(thm)],[f1129,f2469]) ).

fof(f7558,definition,
    ( sQ343_spl
  <=> sK0_skl(n3,filling,n0) = tapOff ),
    introduced(definition,[new_symbols(definition,[sQ343_spl])],[split_symbol_definition]) ).

fof(f7559,plain,
    ( ~ sQ343_spl
    | sK0_skl(n3,filling,n0) = tapOff ),
    inference(component_clause,[status(thm)],[f7558]) ).

fof(f7561,plain,
    ( sQ89_spl
    | sQ343_spl ),
    inference(split_clause,[status(thm)],[f7547,f7558,f2178]) ).

fof(f7562,definition,
    ( sQ344_spl
  <=> sK0_skl(n2,filling,n0) = tapOff ),
    introduced(definition,[new_symbols(definition,[sQ344_spl])],[split_symbol_definition]) ).

fof(f7563,plain,
    ( ~ sQ344_spl
    | sK0_skl(n2,filling,n0) = tapOff ),
    inference(component_clause,[status(thm)],[f7562]) ).

fof(f7565,definition,
    ( sQ345_spl
  <=> sK0_skl(n2,filling,n0) = overflow ),
    introduced(definition,[new_symbols(definition,[sQ345_spl])],[split_symbol_definition]) ).

fof(f7566,plain,
    ( ~ sQ345_spl
    | sK0_skl(n2,filling,n0) = overflow ),
    inference(component_clause,[status(thm)],[f7565]) ).

fof(f7568,plain,
    ( ~ sQ106_spl
    | sQ345_spl
    | sQ344_spl ),
    inference(split_clause,[status(thm)],[f7548,f7562,f7565,f2461]) ).

fof(f7584,plain,
    ( ~ sQ40_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f913,f174]) ).

fof(f7585,plain,
    ~ sQ40_spl,
    inference(contradiction_clause,[status(thm)],[f7584]) ).

fof(f7686,plain,
    ( ~ sQ247_spl
    | less(sK1_skl(n1,filling,n0),n1) ),
    inference(resolution,[status(thm)],[f4877,f62]) ).

fof(f7687,plain,
    ( ~ sQ247_spl
    | less(n0,sK1_skl(n1,filling,n0)) ),
    inference(resolution,[status(thm)],[f4877,f61]) ).

fof(f7690,plain,
    less(sK1_skl(n3,filling,n0),n6),
    inference(resolution,[status(thm)],[f379,f4238]) ).

fof(f7779,plain,
    less(sK1_skl(n3,filling,n0),n7),
    inference(resolution,[status(thm)],[f7690,f460]) ).

fof(f8107,definition,
    ( sQ364_spl
  <=> spilling = waterLevel(sK8_skl(n3,spilling,overflow)) ),
    introduced(definition,[new_symbols(definition,[sQ364_spl])],[split_symbol_definition]) ).

fof(f8108,plain,
    ( ~ sQ364_spl
    | spilling = waterLevel(sK8_skl(n3,spilling,overflow)) ),
    inference(component_clause,[status(thm)],[f8107]) ).

fof(f8187,plain,
    ! [X0] :
      ( ~ sQ84_spl
      | sP1_prd(n1,X0)
      | ~ happens(X0,n1)
      | n3 = n1 ),
    inference(resolution,[status(thm)],[f2222,f136]) ).

fof(f8190,definition,
    ! [X0] :
      ( sQ376_spl
    <=> ( sP1_prd(n1,X0)
        | ~ happens(X0,n1) ) ),
    introduced(definition,[new_symbols(definition,[sQ376_spl])],[split_symbol_definition]) ).

fof(f8191,plain,
    ! [X0] :
      ( ~ sQ376_spl
      | sP1_prd(n1,X0)
      | ~ happens(X0,n1) ),
    inference(component_clause,[status(thm)],[f8190]) ).

fof(f8193,plain,
    ( ~ sQ84_spl
    | sQ376_spl
    | sQ63_spl ),
    inference(split_clause,[status(thm)],[f8187,f1505,f8190,f2104]) ).

fof(f8230,plain,
    ( ~ sQ344_spl
    | happens(tapOff,sK1_skl(n2,filling,n0))
    | ~ stoppedIn(n0,filling,n2) ),
    inference(paramodulation,[status(thm)],[f7563,f60]) ).

fof(f8231,definition,
    ( sQ383_spl
  <=> sP1_prd(sK1_skl(n2,filling,n0),tapOff) ),
    introduced(definition,[new_symbols(definition,[sQ383_spl])],[split_symbol_definition]) ).

fof(f8232,plain,
    ( ~ sQ383_spl
    | sP1_prd(sK1_skl(n2,filling,n0),tapOff) ),
    inference(component_clause,[status(thm)],[f8231]) ).

fof(f8239,definition,
    ( sQ385_spl
  <=> happens(tapOff,sK1_skl(n2,filling,n0)) ),
    introduced(definition,[new_symbols(definition,[sQ385_spl])],[split_symbol_definition]) ).

fof(f8240,plain,
    ( ~ sQ385_spl
    | happens(tapOff,sK1_skl(n2,filling,n0)) ),
    inference(component_clause,[status(thm)],[f8239]) ).

fof(f8242,plain,
    ( ~ sQ344_spl
    | sQ385_spl
    | ~ sQ245_spl ),
    inference(split_clause,[status(thm)],[f8230,f4869,f8239,f7562]) ).

fof(f8334,definition,
    ( sQ395_spl
  <=> less(n7,n7) ),
    introduced(definition,[new_symbols(definition,[sQ395_spl])],[split_symbol_definition]) ).

fof(f8335,plain,
    ( ~ sQ395_spl
    | less(n7,n7) ),
    inference(component_clause,[status(thm)],[f8334]) ).

fof(f8342,definition,
    ( sQ397_spl
  <=> less(n8,n8) ),
    introduced(definition,[new_symbols(definition,[sQ397_spl])],[split_symbol_definition]) ).

fof(f8343,plain,
    ( ~ sQ397_spl
    | less(n8,n8) ),
    inference(component_clause,[status(thm)],[f8342]) ).

fof(f8493,plain,
    ( ~ sQ173_spl
    | ~ sQ376_spl
    | sP1_prd(n1,overflow) ),
    inference(resolution,[status(thm)],[f8191,f3434]) ).

fof(f8497,plain,
    ( ~ sQ173_spl
    | ~ sQ376_spl
    | sQ90_spl ),
    inference(split_clause,[status(thm)],[f8493,f2215,f8190,f3433]) ).

fof(f8500,plain,
    ( ~ sQ90_spl
    | sQ88_spl
    | ~ sQ89_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f2216,f2206]) ).

fof(f8501,plain,
    ( ~ sQ90_spl
    | sQ88_spl
    | ~ sQ89_spl ),
    inference(contradiction_clause,[status(thm)],[f8500]) ).

fof(f8506,plain,
    ( ~ sQ345_spl
    | happens(overflow,sK1_skl(n2,filling,n0))
    | ~ stoppedIn(n0,filling,n2) ),
    inference(paramodulation,[status(thm)],[f7566,f60]) ).

fof(f8515,definition,
    ( sQ416_spl
  <=> happens(overflow,sK1_skl(n2,filling,n0)) ),
    introduced(definition,[new_symbols(definition,[sQ416_spl])],[split_symbol_definition]) ).

fof(f8516,plain,
    ( ~ sQ416_spl
    | happens(overflow,sK1_skl(n2,filling,n0)) ),
    inference(component_clause,[status(thm)],[f8515]) ).

fof(f8518,plain,
    ( ~ sQ345_spl
    | sQ416_spl
    | ~ sQ245_spl ),
    inference(split_clause,[status(thm)],[f8506,f4869,f8515,f7565]) ).

fof(f9202,plain,
    initiates(overflow,waterLevel(n0),n0),
    inference(resolution,[status(thm)],[f246,f216]) ).

fof(f9259,plain,
    ( sQ182_spl
    | ~ sP1_prd(n0,tapOn) ),
    inference(resolution,[status(thm)],[f3609,f139]) ).

fof(f9260,plain,
    ( sQ182_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f9259,f256]) ).

fof(f9261,plain,
    sQ182_spl,
    inference(contradiction_clause,[status(thm)],[f9260]) ).

fof(f9485,plain,
    ( ~ releasedAt(waterLevel(n0),plus(n0,n1))
    | ~ happens(overflow,n0) ),
    inference(resolution,[status(thm)],[f9202,f106]) ).

fof(f9488,plain,
    ( ~ sQ2_spl
    | ~ sQ233_spl ),
    inference(split_clause,[status(thm)],[f9485,f4645,f330]) ).

fof(f9754,plain,
    ( ~ sQ343_spl
    | happens(tapOff,sK1_skl(n3,filling,n0))
    | ~ stoppedIn(n0,filling,n3) ),
    inference(paramodulation,[status(thm)],[f7559,f60]) ).

fof(f9755,definition,
    ( sQ518_spl
  <=> sP1_prd(sK1_skl(n3,filling,n0),tapOff) ),
    introduced(definition,[new_symbols(definition,[sQ518_spl])],[split_symbol_definition]) ).

fof(f9756,plain,
    ( ~ sQ518_spl
    | sP1_prd(sK1_skl(n3,filling,n0),tapOff) ),
    inference(component_clause,[status(thm)],[f9755]) ).

fof(f9763,plain,
    ( ~ sQ343_spl
    | sQ155_spl
    | ~ sQ1_spl ),
    inference(split_clause,[status(thm)],[f9754,f279,f3314,f7558]) ).

fof(f10010,plain,
    ( ~ sQ155_spl
    | tapOff = overflow
    | sP1_prd(sK1_skl(n3,filling,n0),tapOff) ),
    inference(resolution,[status(thm)],[f3315,f138]) ).

fof(f10011,plain,
    ( ~ sQ155_spl
    | sQ52_spl
    | sQ518_spl ),
    inference(split_clause,[status(thm)],[f10010,f9755,f1132,f3314]) ).

fof(f10768,definition,
    ( sQ595_spl
  <=> stoppedIn(n9,filling,n9) ),
    introduced(definition,[new_symbols(definition,[sQ595_spl])],[split_symbol_definition]) ).

fof(f10769,plain,
    ( ~ sQ595_spl
    | stoppedIn(n9,filling,n9) ),
    inference(component_clause,[status(thm)],[f10768]) ).

fof(f10797,plain,
    ( ~ sQ595_spl
    | less(sK1_skl(n9,filling,n9),n9) ),
    inference(resolution,[status(thm)],[f10769,f62]) ).

fof(f10798,plain,
    ( ~ sQ595_spl
    | less(n9,sK1_skl(n9,filling,n9)) ),
    inference(resolution,[status(thm)],[f10769,f61]) ).

fof(f11283,definition,
    ( sQ626_spl
  <=> stoppedIn(n7,filling,n7) ),
    introduced(definition,[new_symbols(definition,[sQ626_spl])],[split_symbol_definition]) ).

fof(f11284,plain,
    ( ~ sQ626_spl
    | stoppedIn(n7,filling,n7) ),
    inference(component_clause,[status(thm)],[f11283]) ).

fof(f11290,plain,
    ( ~ sQ626_spl
    | less(sK1_skl(n7,filling,n7),n7) ),
    inference(resolution,[status(thm)],[f11284,f62]) ).

fof(f11291,plain,
    ( ~ sQ626_spl
    | less(n7,sK1_skl(n7,filling,n7)) ),
    inference(resolution,[status(thm)],[f11284,f61]) ).

fof(f11393,plain,
    ( ~ sQ518_spl
    | sK1_skl(n3,filling,n0) = n0 ),
    inference(resolution,[status(thm)],[f9756,f236]) ).

fof(f11395,plain,
    ( ~ sQ518_spl
    | sQ38_spl ),
    inference(split_clause,[status(thm)],[f11393,f864,f9755]) ).

fof(f12275,plain,
    less(sK1_skl(n3,filling,n0),n8),
    inference(resolution,[status(thm)],[f466,f7779]) ).

fof(f12730,plain,
    ( ~ sQ385_spl
    | tapOff = overflow
    | sP1_prd(sK1_skl(n2,filling,n0),tapOff) ),
    inference(resolution,[status(thm)],[f8240,f138]) ).

fof(f12731,plain,
    ( ~ sQ385_spl
    | sQ52_spl
    | sQ383_spl ),
    inference(split_clause,[status(thm)],[f12730,f8231,f1132,f8239]) ).

fof(f12733,plain,
    ( ~ sQ383_spl
    | tapOff = tapOn ),
    inference(resolution,[status(thm)],[f8232,f235]) ).

fof(f12744,plain,
    ( ~ sQ383_spl
    | sQ219_spl ),
    inference(split_clause,[status(thm)],[f12733,f4222,f8231]) ).

fof(f15332,plain,
    ( ~ sQ247_spl
    | sK1_skl(n1,filling,n0) = n0 ),
    inference(resolution,[status(thm)],[f7686,f305]) ).

fof(f15343,plain,
    ( ~ sQ247_spl
    | less(n0,n0) ),
    inference(backward_demodulation,[status(thm)],[f15332,f7687]) ).

fof(f15353,plain,
    ( ~ sQ247_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f15343,f174]) ).

fof(f15354,plain,
    ~ sQ247_spl,
    inference(contradiction_clause,[status(thm)],[f15353]) ).

fof(f15416,plain,
    ( sK1_skl(n3,filling,n0) = n2
    | less(sK1_skl(n3,filling,n0),n2) ),
    inference(resolution,[status(thm)],[f319,f268]) ).

fof(f15420,definition,
    ( sQ893_spl
  <=> less(n2,n2) ),
    introduced(definition,[new_symbols(definition,[sQ893_spl])],[split_symbol_definition]) ).

fof(f15421,plain,
    ( ~ sQ893_spl
    | less(n2,n2) ),
    inference(component_clause,[status(thm)],[f15420]) ).

fof(f15429,definition,
    ( sQ895_spl
  <=> less(sK1_skl(n3,filling,n0),n2) ),
    introduced(definition,[new_symbols(definition,[sQ895_spl])],[split_symbol_definition]) ).

fof(f15430,plain,
    ( ~ sQ895_spl
    | less(sK1_skl(n3,filling,n0),n2) ),
    inference(component_clause,[status(thm)],[f15429]) ).

fof(f15432,definition,
    ( sQ896_spl
  <=> sK1_skl(n3,filling,n0) = n2 ),
    introduced(definition,[new_symbols(definition,[sQ896_spl])],[split_symbol_definition]) ).

fof(f15433,plain,
    ( ~ sQ896_spl
    | sK1_skl(n3,filling,n0) = n2 ),
    inference(component_clause,[status(thm)],[f15432]) ).

fof(f15435,plain,
    ( sQ896_spl
    | sQ895_spl ),
    inference(split_clause,[status(thm)],[f15416,f15429,f15432]) ).

fof(f15436,plain,
    ( ~ sQ893_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f15421,f254]) ).

fof(f15437,plain,
    ~ sQ893_spl,
    inference(contradiction_clause,[status(thm)],[f15436]) ).

fof(f16092,definition,
    ( sQ920_spl
  <=> less(n6,n6) ),
    introduced(definition,[new_symbols(definition,[sQ920_spl])],[split_symbol_definition]) ).

fof(f16093,plain,
    ( ~ sQ920_spl
    | less(n6,n6) ),
    inference(component_clause,[status(thm)],[f16092]) ).

fof(f16104,plain,
    ( ~ sQ920_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f16093,f254]) ).

fof(f16105,plain,
    ~ sQ920_spl,
    inference(contradiction_clause,[status(thm)],[f16104]) ).

fof(f16249,definition,
    ( sQ932_spl
  <=> less(sK1_skl(n3,filling,n0),n8) ),
    introduced(definition,[new_symbols(definition,[sQ932_spl])],[split_symbol_definition]) ).

fof(f16251,plain,
    ( sQ932_spl
    | ~ less(sK1_skl(n3,filling,n0),n8) ),
    inference(component_clause,[status(thm)],[f16249]) ).

fof(f16255,plain,
    ( sQ932_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f16251,f12275]) ).

fof(f16256,plain,
    sQ932_spl,
    inference(contradiction_clause,[status(thm)],[f16255]) ).

fof(f16257,plain,
    ( ~ sQ397_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f8343,f254]) ).

fof(f16258,plain,
    ~ sQ397_spl,
    inference(contradiction_clause,[status(thm)],[f16257]) ).

fof(f16417,plain,
    ( ~ sQ395_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f8335,f254]) ).

fof(f16418,plain,
    ~ sQ395_spl,
    inference(contradiction_clause,[status(thm)],[f16417]) ).

fof(f16435,definition,
    ( sQ940_spl
  <=> less(n5,n5) ),
    introduced(definition,[new_symbols(definition,[sQ940_spl])],[split_symbol_definition]) ).

fof(f16436,plain,
    ( ~ sQ940_spl
    | less(n5,n5) ),
    inference(component_clause,[status(thm)],[f16435]) ).

fof(f16446,plain,
    ( ~ sQ940_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f16436,f254]) ).

fof(f16447,plain,
    ~ sQ940_spl,
    inference(contradiction_clause,[status(thm)],[f16446]) ).

fof(f16817,definition,
    ( sQ968_spl
  <=> less(n4,n4) ),
    introduced(definition,[new_symbols(definition,[sQ968_spl])],[split_symbol_definition]) ).

fof(f16818,plain,
    ( ~ sQ968_spl
    | less(n4,n4) ),
    inference(component_clause,[status(thm)],[f16817]) ).

fof(f16830,plain,
    ( ~ sQ968_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f16818,f254]) ).

fof(f16831,plain,
    ~ sQ968_spl,
    inference(contradiction_clause,[status(thm)],[f16830]) ).

fof(f17045,definition,
    ( sQ994_spl
  <=> releases(sK7_skl(n7,filling),filling,n7) ),
    introduced(definition,[new_symbols(definition,[sQ994_spl])],[split_symbol_definition]) ).

fof(f17046,plain,
    ( ~ sQ994_spl
    | releases(sK7_skl(n7,filling),filling,n7) ),
    inference(component_clause,[status(thm)],[f17045]) ).

fof(f17172,plain,
    ( ~ sQ895_spl
    | sK1_skl(n3,filling,n0) = n1
    | less(sK1_skl(n3,filling,n0),n1) ),
    inference(resolution,[status(thm)],[f15430,f2523]) ).

fof(f17183,definition,
    ( sQ1007_spl
  <=> less(sK1_skl(n3,filling,n0),n1) ),
    introduced(definition,[new_symbols(definition,[sQ1007_spl])],[split_symbol_definition]) ).

fof(f17184,plain,
    ( ~ sQ1007_spl
    | less(sK1_skl(n3,filling,n0),n1) ),
    inference(component_clause,[status(thm)],[f17183]) ).

fof(f17186,plain,
    ( ~ sQ895_spl
    | sQ75_spl
    | sQ1007_spl ),
    inference(split_clause,[status(thm)],[f17172,f17183,f1766,f15429]) ).

fof(f17255,plain,
    ( sQ103_spl
    | ~ sQ896_spl
    | ~ sP1_prd(n2,overflow) ),
    inference(backward_demodulation,[status(thm)],[f15433,f2432]) ).

fof(f17389,definition,
    ( sQ1009_spl
  <=> less(n2,n1) ),
    introduced(definition,[new_symbols(definition,[sQ1009_spl])],[split_symbol_definition]) ).

fof(f17390,plain,
    ( ~ sQ1009_spl
    | less(n2,n1) ),
    inference(component_clause,[status(thm)],[f17389]) ).

fof(f17415,plain,
    ( ~ sQ1009_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f17390,f314]) ).

fof(f17416,plain,
    ~ sQ1009_spl,
    inference(contradiction_clause,[status(thm)],[f17415]) ).

fof(f17776,plain,
    ( ~ sQ896_spl
    | happens(sK0_skl(n3,filling,n0),n2)
    | ~ stoppedIn(n0,filling,n3) ),
    inference(paramodulation,[status(thm)],[f15433,f60]) ).

fof(f17791,definition,
    ( sQ1035_spl
  <=> happens(sK0_skl(n3,filling,n0),n2) ),
    introduced(definition,[new_symbols(definition,[sQ1035_spl])],[split_symbol_definition]) ).

fof(f17792,plain,
    ( ~ sQ1035_spl
    | happens(sK0_skl(n3,filling,n0),n2) ),
    inference(component_clause,[status(thm)],[f17791]) ).

fof(f17794,plain,
    ( ~ sQ896_spl
    | sQ1035_spl
    | ~ sQ1_spl ),
    inference(split_clause,[status(thm)],[f17776,f279,f17791,f15432]) ).

fof(f17798,plain,
    ( ~ sQ1035_spl
    | ~ sQ89_spl
    | happens(overflow,n2) ),
    inference(forward_demodulation,[status(thm)],[f2179,f17792]) ).

fof(f18154,definition,
    ! [X0] :
      ( sQ1048_spl
    <=> ~ less(X0,n6) ),
    introduced(definition,[new_symbols(definition,[sQ1048_spl])],[split_symbol_definition]) ).

fof(f18155,plain,
    ! [X0] :
      ( ~ sQ1048_spl
      | ~ less(X0,n6) ),
    inference(component_clause,[status(thm)],[f18154]) ).

fof(f18162,plain,
    ( ~ sQ1048_spl
    | $false ),
    inference(backward_subsumption_resolution,[status(thm)],[f3175,f18155]) ).

fof(f18186,plain,
    ~ sQ1048_spl,
    inference(contradiction_clause,[status(thm)],[f18162]) ).

fof(f18879,plain,
    ( ~ sQ106_spl
    | sK1_skl(n2,filling,n0) = n1
    | less(sK1_skl(n2,filling,n0),n1) ),
    inference(resolution,[status(thm)],[f2486,f2523]) ).

fof(f18887,definition,
    ( sQ1082_spl
  <=> less(sK1_skl(n2,filling,n0),n1) ),
    introduced(definition,[new_symbols(definition,[sQ1082_spl])],[split_symbol_definition]) ).

fof(f18888,plain,
    ( ~ sQ1082_spl
    | less(sK1_skl(n2,filling,n0),n1) ),
    inference(component_clause,[status(thm)],[f18887]) ).

fof(f18890,definition,
    ( sQ1083_spl
  <=> sK1_skl(n2,filling,n0) = n1 ),
    introduced(definition,[new_symbols(definition,[sQ1083_spl])],[split_symbol_definition]) ).

fof(f18891,plain,
    ( ~ sQ1083_spl
    | sK1_skl(n2,filling,n0) = n1 ),
    inference(component_clause,[status(thm)],[f18890]) ).

fof(f18893,plain,
    ( ~ sQ106_spl
    | sQ1083_spl
    | sQ1082_spl ),
    inference(split_clause,[status(thm)],[f18879,f18887,f18890,f2461]) ).

fof(f18902,plain,
    ( ~ sQ416_spl
    | ~ sQ1083_spl
    | happens(overflow,n1) ),
    inference(backward_demodulation,[status(thm)],[f18891,f8516]) ).

fof(f18916,plain,
    ( ~ sQ416_spl
    | ~ sQ1083_spl
    | sQ173_spl ),
    inference(split_clause,[status(thm)],[f18902,f3433,f18890,f8515]) ).

fof(f19195,definition,
    ( sQ1109_spl
  <=> releases(sK7_skl(n9,filling),filling,n9) ),
    introduced(definition,[new_symbols(definition,[sQ1109_spl])],[split_symbol_definition]) ).

fof(f19196,plain,
    ( ~ sQ1109_spl
    | releases(sK7_skl(n9,filling),filling,n9) ),
    inference(component_clause,[status(thm)],[f19195]) ).

fof(f19436,definition,
    ! [X0] :
      ( sQ1122_spl
    <=> ~ less(n7,X0) ),
    introduced(definition,[new_symbols(definition,[sQ1122_spl])],[split_symbol_definition]) ).

fof(f19437,plain,
    ! [X0] :
      ( ~ sQ1122_spl
      | ~ less(n7,X0) ),
    inference(component_clause,[status(thm)],[f19436]) ).

fof(f19441,plain,
    ( ~ sQ1122_spl
    | $false ),
    inference(backward_subsumption_resolution,[status(thm)],[f2270,f19437]) ).

fof(f19447,plain,
    ~ sQ1122_spl,
    inference(contradiction_clause,[status(thm)],[f19441]) ).

fof(f20078,definition,
    ( sQ1173_spl
  <=> releases(sK7_skl(n5,filling),filling,n5) ),
    introduced(definition,[new_symbols(definition,[sQ1173_spl])],[split_symbol_definition]) ).

fof(f20079,plain,
    ( ~ sQ1173_spl
    | releases(sK7_skl(n5,filling),filling,n5) ),
    inference(component_clause,[status(thm)],[f20078]) ).

fof(f20409,plain,
    ( ~ sQ1035_spl
    | ~ sQ89_spl
    | sQ213_spl ),
    inference(split_clause,[status(thm)],[f17798,f4182,f2178,f17791]) ).

fof(f20413,plain,
    ( sQ103_spl
    | ~ sQ896_spl
    | ~ sQ252_spl ),
    inference(split_clause,[status(thm)],[f17255,f4980,f15432,f2430]) ).

fof(f20878,definition,
    ( sQ1205_spl
  <=> waterLevel(n2) = filling ),
    introduced(definition,[new_symbols(definition,[sQ1205_spl])],[split_symbol_definition]) ).

fof(f20879,plain,
    ( ~ sQ1205_spl
    | waterLevel(n2) = filling ),
    inference(component_clause,[status(thm)],[f20878]) ).

fof(f20881,definition,
    ( sQ1206_spl
  <=> waterLevel(n2) = spilling ),
    introduced(definition,[new_symbols(definition,[sQ1206_spl])],[split_symbol_definition]) ).

fof(f20882,plain,
    ( ~ sQ1206_spl
    | waterLevel(n2) = spilling ),
    inference(component_clause,[status(thm)],[f20881]) ).

fof(f20888,plain,
    ( ~ sQ1206_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f20882,f151]) ).

fof(f20889,plain,
    ~ sQ1206_spl,
    inference(contradiction_clause,[status(thm)],[f20888]) ).

fof(f20890,plain,
    ( ~ sQ1205_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f20879,f150]) ).

fof(f20891,plain,
    ~ sQ1205_spl,
    inference(contradiction_clause,[status(thm)],[f20890]) ).

fof(f21619,definition,
    ( sQ1259_spl
  <=> spilling = waterLevel(sK8_skl(n4,spilling,overflow)) ),
    introduced(definition,[new_symbols(definition,[sQ1259_spl])],[split_symbol_definition]) ).

fof(f21620,plain,
    ( ~ sQ1259_spl
    | spilling = waterLevel(sK8_skl(n4,spilling,overflow)) ),
    inference(component_clause,[status(thm)],[f21619]) ).

fof(f21626,plain,
    ( ~ sQ275_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f5693,f151]) ).

fof(f21627,plain,
    ~ sQ275_spl,
    inference(contradiction_clause,[status(thm)],[f21626]) ).

fof(f21628,plain,
    ( ~ sQ364_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f8108,f151]) ).

fof(f21629,plain,
    ~ sQ364_spl,
    inference(contradiction_clause,[status(thm)],[f21628]) ).

fof(f21630,plain,
    ( ~ sQ1259_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f21620,f151]) ).

fof(f21631,plain,
    ~ sQ1259_spl,
    inference(contradiction_clause,[status(thm)],[f21630]) ).

fof(f21632,plain,
    ( ~ sQ184_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f3623,f150]) ).

fof(f21633,plain,
    ~ sQ184_spl,
    inference(contradiction_clause,[status(thm)],[f21632]) ).

fof(f21960,definition,
    ( sQ1268_spl
  <=> spilling = waterLevel(sK10_skl(n4,spilling,overflow)) ),
    introduced(definition,[new_symbols(definition,[sQ1268_spl])],[split_symbol_definition]) ).

fof(f21961,plain,
    ( ~ sQ1268_spl
    | spilling = waterLevel(sK10_skl(n4,spilling,overflow)) ),
    inference(component_clause,[status(thm)],[f21960]) ).

fof(f21964,definition,
    ( sQ1269_spl
  <=> spilling = waterLevel(sK10_skl(n3,spilling,overflow)) ),
    introduced(definition,[new_symbols(definition,[sQ1269_spl])],[split_symbol_definition]) ).

fof(f21965,plain,
    ( ~ sQ1269_spl
    | spilling = waterLevel(sK10_skl(n3,spilling,overflow)) ),
    inference(component_clause,[status(thm)],[f21964]) ).

fof(f21968,definition,
    ( sQ1270_spl
  <=> spilling = waterLevel(sK10_skl(n2,spilling,overflow)) ),
    introduced(definition,[new_symbols(definition,[sQ1270_spl])],[split_symbol_definition]) ).

fof(f21969,plain,
    ( ~ sQ1270_spl
    | spilling = waterLevel(sK10_skl(n2,spilling,overflow)) ),
    inference(component_clause,[status(thm)],[f21968]) ).

fof(f21973,plain,
    ( ~ sQ1270_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f21969,f151]) ).

fof(f21974,plain,
    ~ sQ1270_spl,
    inference(contradiction_clause,[status(thm)],[f21973]) ).

fof(f21975,plain,
    ( ~ sQ1269_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f21965,f151]) ).

fof(f21976,plain,
    ~ sQ1269_spl,
    inference(contradiction_clause,[status(thm)],[f21975]) ).

fof(f21977,plain,
    ( ~ sQ1268_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f21961,f151]) ).

fof(f21978,plain,
    ~ sQ1268_spl,
    inference(contradiction_clause,[status(thm)],[f21977]) ).

fof(f22092,definition,
    ( sQ1284_spl
  <=> filling = waterLevel(sK10_skl(n5,filling,tapOff)) ),
    introduced(definition,[new_symbols(definition,[sQ1284_spl])],[split_symbol_definition]) ).

fof(f22093,plain,
    ( ~ sQ1284_spl
    | filling = waterLevel(sK10_skl(n5,filling,tapOff)) ),
    inference(component_clause,[status(thm)],[f22092]) ).

fof(f22095,definition,
    ( sQ1285_spl
  <=> filling = waterLevel(sK8_skl(n5,filling,tapOff)) ),
    introduced(definition,[new_symbols(definition,[sQ1285_spl])],[split_symbol_definition]) ).

fof(f22096,plain,
    ( ~ sQ1285_spl
    | filling = waterLevel(sK8_skl(n5,filling,tapOff)) ),
    inference(component_clause,[status(thm)],[f22095]) ).

fof(f22109,plain,
    ( ~ sQ1285_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f22096,f150]) ).

fof(f22110,plain,
    ~ sQ1285_spl,
    inference(contradiction_clause,[status(thm)],[f22109]) ).

fof(f22111,plain,
    ( ~ sQ1284_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f22093,f150]) ).

fof(f22112,plain,
    ~ sQ1284_spl,
    inference(contradiction_clause,[status(thm)],[f22111]) ).

fof(f22134,plain,
    ( ~ sQ994_spl
    | filling = waterLevel(sK9_skl(filling,sK7_skl(n7,filling))) ),
    inference(resolution,[status(thm)],[f17046,f130]) ).

fof(f22140,plain,
    ( ~ sQ994_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f22134,f150]) ).

fof(f22141,plain,
    ~ sQ994_spl,
    inference(contradiction_clause,[status(thm)],[f22140]) ).

fof(f22536,plain,
    ( ~ sQ1173_spl
    | filling = waterLevel(sK9_skl(filling,sK7_skl(n5,filling))) ),
    inference(resolution,[status(thm)],[f20079,f130]) ).

fof(f22542,plain,
    ( ~ sQ1173_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f22536,f150]) ).

fof(f22543,plain,
    ~ sQ1173_spl,
    inference(contradiction_clause,[status(thm)],[f22542]) ).

fof(f22934,plain,
    ( ~ sQ1109_spl
    | filling = waterLevel(sK9_skl(filling,sK7_skl(n9,filling))) ),
    inference(resolution,[status(thm)],[f19196,f130]) ).

fof(f22940,plain,
    ( ~ sQ1109_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f22934,f150]) ).

fof(f22941,plain,
    ~ sQ1109_spl,
    inference(contradiction_clause,[status(thm)],[f22940]) ).

fof(f23302,plain,
    ( ~ sQ1007_spl
    | sK1_skl(n3,filling,n0) = n0 ),
    inference(resolution,[status(thm)],[f17184,f305]) ).

fof(f23311,plain,
    ( ~ sQ1007_spl
    | sQ38_spl ),
    inference(split_clause,[status(thm)],[f23302,f864,f17183]) ).

fof(f23725,definition,
    ( sQ1404_spl
  <=> sK1_skl(n2,filling,n0) = n0 ),
    introduced(definition,[new_symbols(definition,[sQ1404_spl])],[split_symbol_definition]) ).

fof(f23726,plain,
    ( ~ sQ1404_spl
    | sK1_skl(n2,filling,n0) = n0 ),
    inference(component_clause,[status(thm)],[f23725]) ).

fof(f23734,plain,
    ( ~ sQ416_spl
    | ~ sQ1404_spl
    | happens(overflow,n0) ),
    inference(backward_demodulation,[status(thm)],[f23726,f8516]) ).

fof(f23747,plain,
    ( ~ sQ416_spl
    | ~ sQ1404_spl
    | sQ233_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f23734,f4647]) ).

fof(f23748,plain,
    ( ~ sQ416_spl
    | ~ sQ1404_spl
    | sQ233_spl ),
    inference(contradiction_clause,[status(thm)],[f23747]) ).

fof(f24257,plain,
    ( ~ sQ595_spl
    | ~ less(sK1_skl(n9,filling,n9),n9) ),
    inference(resolution,[status(thm)],[f10798,f213]) ).

fof(f24260,plain,
    ( ~ sQ595_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f24257,f10797]) ).

fof(f24261,plain,
    ~ sQ595_spl,
    inference(contradiction_clause,[status(thm)],[f24260]) ).

fof(f26560,plain,
    ( ~ sQ626_spl
    | ~ less(n7,sK1_skl(n7,filling,n7)) ),
    inference(resolution,[status(thm)],[f11290,f213]) ).

fof(f26574,plain,
    ( ~ sQ626_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f26560,f11291]) ).

fof(f26575,plain,
    ~ sQ626_spl,
    inference(contradiction_clause,[status(thm)],[f26574]) ).

fof(f27809,plain,
    ( ~ sQ1082_spl
    | sK1_skl(n2,filling,n0) = n0 ),
    inference(resolution,[status(thm)],[f18888,f305]) ).

fof(f27818,plain,
    ( ~ sQ1082_spl
    | sQ1404_spl ),
    inference(split_clause,[status(thm)],[f27809,f23725,f18887]) ).

fof(f27819,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f389,f402,f716,f961,f1037,f1141,f1286,f1588,f1662,f1847,f2111,f2198,f2224,f2436,f2467,f2472,f2823,f2865,f2933,f3105,f3442,f3579,f3610,f3628,f3636,f3680,f4232,f4875,f4882,f4897,f5717,f5837,f7561,f7568,f7585,f8193,f8242,f8497,f8501,f8518,f9261,f9488,f9763,f10011,f11395,f12731,f12744,f15354,f15435,f15437,f16105,f16256,f16258,f16418,f16447,f16831,f17186,f17416,f17794,f18186,f18893,f18916,f19447,f20409,f20413,f20889,f20891,f21627,f21629,f21631,f21633,f21974,f21976,f21978,f22110,f22112,f22141,f22543,f22941,f23311,f23748,f24261,f26575,f27818]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : CSR011+1 : TPTP v9.3.1. Bugfixed v3.1.0.
% 0.00/0.04  % Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.36  % Computer : n003.cluster.edu
% 0.08/0.36  % Model    : x86_64 x86_64
% 0.08/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36  % Memory   : 8046.5625MB
% 0.08/0.36  % OS       : Linux 6.8.0-71-generic
% 0.08/0.36  % CPULimit : 300
% 0.08/0.36  % WCLimit  : 300
% 0.08/0.36  % DateTime : Mon Sep 21 14:25:46 UTC 2026
% 0.08/0.37  % CPUTime  : 
% 0.08/0.38  % Drodi V4.1.1
% 171.59/22.07  % Refutation found
% 171.59/22.07  % SZS status Theorem for theBenchmark: Theorem is valid
% 171.59/22.07  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 76.11/22.16  % Elapsed time: 21.777817 seconds
% 76.11/22.16  % CPU time: 172.417508 seconds
% 76.11/22.16  % Total memory used: 447.739 MB
% 76.11/22.16  % Net memory used: 389.240 MB
%------------------------------------------------------------------------------