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E-SAT---3.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : E-SAT---3.5.1
% Problem  : CSR001+1 : TPTP v9.3.1. Bugfixed v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n001.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 12:17:52 PM UTC 2026

% Result   : Theorem 64.94s 11.56s
% Output   : CNFRefutation 64.94s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   47
%            Number of leaves      :   64
% Syntax   : Number of formulae    :  560 ( 137 unt;   0 def)
%            Number of atoms       : 1760 ( 606 equ)
%            Maximal formula atoms :  194 (   3 avg)
%            Number of connectives : 2031 ( 831   ~;1012   |; 137   &)
%                                         (  35 <=>;  16  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   52 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   29 (  27 usr;  16 prp; 0-4 aty)
%            Number of functors    :   27 (  27 usr;  15 con; 0-3 aty)
%            Number of variables   :  784 (  62 sgn 200   !;  16   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(initiates_all_defn,axiom,
    ! [X4,X2,X5] :
      ( initiates(X4,X2,X5)
    <=> ( ? [X9] :
            ( X2 = waterLevel(X9)
            & X4 = overflow
            & holdsAt(waterLevel(X9),X5) )
        | ? [X9] :
            ( X2 = waterLevel(X9)
            & X4 = tapOff
            & holdsAt(waterLevel(X9),X5) )
        | ( X2 = spilling
          & X4 = overflow )
        | ( X2 = filling
          & X4 = tapOn ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR001+1.ax',initiates_all_defn) ).

fof(waterLevel_0,hypothesis,
    holdsAt(waterLevel(n0),n0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',waterLevel_0) ).

fof(tapOff_not_tapOn,axiom,
    tapOff != tapOn,
    file('/export/starexec/sandbox/benchmark/Axioms/CSR001+1.ax',tapOff_not_tapOn) ).

fof(tapOff_not_overflow,axiom,
    tapOff != overflow,
    file('/export/starexec/sandbox/benchmark/Axioms/CSR001+1.ax',tapOff_not_overflow) ).

fof(happens_holds,axiom,
    ! [X4,X5,X2] :
      ( ( initiates(X4,X2,X5)
        & happens(X4,X5) )
     => holdsAt(X2,plus(X5,n1)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR001+0.ax',happens_holds) ).

fof(keep_not_released,axiom,
    ! [X2,X5] :
      ( ( ~ ? [X4] :
              ( releases(X4,X2,X5)
              & happens(X4,X5) )
        & ~ releasedAt(X2,X5) )
     => ~ releasedAt(X2,plus(X5,n1)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR001+0.ax',keep_not_released) ).

fof(happens_not_released,axiom,
    ! [X4,X5,X2] :
      ( ( ( terminates(X4,X2,X5)
          | initiates(X4,X2,X5) )
        & happens(X4,X5) )
     => ~ releasedAt(X2,plus(X5,n1)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR001+0.ax',happens_not_released) ).

fof(change_of_waterLevel,axiom,
    ! [X10,X5,X11,X7] :
      ( ( X11 = plus(X10,X7)
        & holdsAt(waterLevel(X10),X5) )
     => trajectory(filling,X5,waterLevel(X11),X7) ),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR001+1.ax',change_of_waterLevel) ).

fof(releases_all_defn,axiom,
    ! [X4,X2,X5] :
      ( releases(X4,X2,X5)
    <=> ? [X9] :
          ( X2 = waterLevel(X9)
          & X4 = tapOn ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR001+1.ax',releases_all_defn) ).

fof(happens_all_defn,axiom,
    ! [X4,X5] :
      ( happens(X4,X5)
    <=> ( ( X4 = overflow
          & holdsAt(filling,X5)
          & holdsAt(waterLevel(n3),X5) )
        | ( X5 = n0
          & X4 = tapOn ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR001+1.ax',happens_all_defn) ).

fof(overflow_not_tapOn,axiom,
    overflow != tapOn,
    file('/export/starexec/sandbox/benchmark/Axioms/CSR001+1.ax',overflow_not_tapOn) ).

fof(symmetry_of_plus,axiom,
    ! [X12,X13] : plus(X12,X13) = plus(X13,X12),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetry_of_plus) ).

fof(less_or_equal,axiom,
    ! [X12,X13] :
      ( less_or_equal(X12,X13)
    <=> ( X12 = X13
        | less(X12,X13) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_or_equal) ).

fof(less1,axiom,
    ! [X12] :
      ( less(X12,n1)
    <=> less_or_equal(X12,n0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',less1) ).

fof(less0,axiom,
    ~ ? [X12] : less(X12,n0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',less0) ).

fof(happens_releases,axiom,
    ! [X4,X5,X2] :
      ( ( releases(X4,X2,X5)
        & happens(X4,X5) )
     => releasedAt(X2,plus(X5,n1)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR001+0.ax',happens_releases) ).

fof(keep_holding,axiom,
    ! [X2,X5] :
      ( ( ~ ? [X4] :
              ( terminates(X4,X2,X5)
              & happens(X4,X5) )
        & ~ releasedAt(X2,plus(X5,n1))
        & holdsAt(X2,X5) )
     => holdsAt(X2,plus(X5,n1)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR001+0.ax',keep_holding) ).

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

fof(stoppedin_defn,axiom,
    ! [X1,X2,X3] :
      ( stoppedIn(X1,X2,X3)
    <=> ? [X4,X5] :
          ( terminates(X4,X2,X5)
          & less(X5,X3)
          & less(X1,X5)
          & happens(X4,X5) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR001+0.ax',stoppedin_defn) ).

fof(change_holding,axiom,
    ! [X4,X5,X2,X6,X7] :
      ( ( ~ stoppedIn(X5,X2,plus(X5,X7))
        & trajectory(X2,X5,X6,X7)
        & less(n0,X7)
        & initiates(X4,X2,X5)
        & happens(X4,X5) )
     => holdsAt(X6,plus(X5,X7)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR001+0.ax',change_holding) ).

fof(not_released_waterLevel_0,hypothesis,
    ! [X9] : ~ releasedAt(waterLevel(X9),n0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_released_waterLevel_0) ).

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

fof(happens_terminates_not_holds,axiom,
    ! [X4,X5,X2] :
      ( ( terminates(X4,X2,X5)
        & happens(X4,X5) )
     => ~ holdsAt(X2,plus(X5,n1)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR001+0.ax',happens_terminates_not_holds) ).

fof(same_waterLevel,axiom,
    ! [X5,X10,X11] :
      ( ( holdsAt(waterLevel(X11),X5)
        & holdsAt(waterLevel(X10),X5) )
     => X10 = X11 ),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR001+1.ax',same_waterLevel) ).

fof(terminates_all_defn,axiom,
    ! [X4,X2,X5] :
      ( terminates(X4,X2,X5)
    <=> ( ( X2 = filling
          & X4 = overflow )
        | ( X2 = filling
          & X4 = tapOff ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR001+1.ax',terminates_all_defn) ).

fof(less_property,axiom,
    ! [X12,X13] :
      ( less(X12,X13)
    <=> ( X13 != X12
        & ~ less(X13,X12) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_property) ).

fof(less2,axiom,
    ! [X12] :
      ( less(X12,n2)
    <=> less_or_equal(X12,n1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',less2) ).

fof(less3,axiom,
    ! [X12] :
      ( less(X12,n3)
    <=> less_or_equal(X12,n2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',less3) ).

fof(spilling_not_waterLevel,axiom,
    ! [X12] : spilling != waterLevel(X12),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR001+1.ax',spilling_not_waterLevel) ).

fof(keep_not_holding,axiom,
    ! [X2,X5] :
      ( ( ~ ? [X4] :
              ( initiates(X4,X2,X5)
              & happens(X4,X5) )
        & ~ releasedAt(X2,plus(X5,n1))
        & ~ holdsAt(X2,X5) )
     => ~ holdsAt(X2,plus(X5,n1)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR001+0.ax',keep_not_holding) ).

fof(filling_not_waterLevel,axiom,
    ! [X12] : filling != waterLevel(X12),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR001+1.ax',filling_not_waterLevel) ).

fof(not_released_spilling_0,hypothesis,
    ~ releasedAt(spilling,n0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_released_spilling_0) ).

fof(not_spilling_0,hypothesis,
    ~ holdsAt(spilling,n0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_spilling_0) ).

fof(not_released_filling_0,hypothesis,
    ~ releasedAt(filling,n0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_released_filling_0) ).

fof(filling_not_spilling,axiom,
    filling != spilling,
    file('/export/starexec/sandbox/benchmark/Axioms/CSR001+1.ax',filling_not_spilling) ).

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

fof(not_filling_0,hypothesis,
    ~ holdsAt(filling,n0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_filling_0) ).

fof(plus0_2,axiom,
    plus(n0,n2) = n2,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',plus0_2) ).

fof(less9,axiom,
    ! [X12] :
      ( less(X12,n9)
    <=> less_or_equal(X12,n8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',less9) ).

fof(startedin_defn,axiom,
    ! [X1,X3,X2] :
      ( startedIn(X1,X2,X3)
    <=> ? [X4,X5] :
          ( initiates(X4,X2,X5)
          & less(X5,X3)
          & less(X1,X5)
          & happens(X4,X5) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR001+0.ax',startedin_defn) ).

fof(less8,axiom,
    ! [X12] :
      ( less(X12,n8)
    <=> less_or_equal(X12,n7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',less8) ).

fof(less6,axiom,
    ! [X12] :
      ( less(X12,n6)
    <=> less_or_equal(X12,n5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',less6) ).

fof(less7,axiom,
    ! [X12] :
      ( less(X12,n7)
    <=> less_or_equal(X12,n6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',less7) ).

fof(less5,axiom,
    ! [X12] :
      ( less(X12,n5)
    <=> less_or_equal(X12,n4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',less5) ).

fof(less4,axiom,
    ! [X12] :
      ( less(X12,n4)
    <=> less_or_equal(X12,n3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',less4) ).

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

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

fof(waterLevel_4,conjecture,
    holdsAt(waterLevel(n3),n4),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',waterLevel_4) ).

fof(c_0_48,plain,
    ! [X5,X4,X2] :
      ( epred1_3(X2,X4,X5)
    <=> ( ? [X9] :
            ( X2 = waterLevel(X9)
            & X4 = overflow
            & holdsAt(waterLevel(X9),X5) )
        | ? [X9] :
            ( X2 = waterLevel(X9)
            & X4 = tapOff
            & holdsAt(waterLevel(X9),X5) )
        | ( X2 = spilling
          & X4 = overflow )
        | ( X2 = filling
          & X4 = tapOn ) ) ),
    introduced(definition) ).

fof(c_0_49,plain,
    ! [X112,X113,X114,X117,X118,X119,X120,X121] :
      ( ( epred1_3(X119,X118,X117)
        | X119 != waterLevel(X121)
        | X118 != overflow
        | ~ holdsAt(waterLevel(X121),X117) )
      & ( epred1_3(X119,X118,X117)
        | X119 != waterLevel(X120)
        | X118 != tapOff
        | ~ holdsAt(waterLevel(X120),X117) )
      & ( epred1_3(X119,X118,X117)
        | X119 != spilling
        | X118 != overflow )
      & ( epred1_3(X119,X118,X117)
        | X119 != filling
        | X118 != tapOn )
      & ( ~ epred1_3(X114,X113,X112)
        | X114 = filling
        | X114 = spilling
        | X114 = waterLevel(esk10_3(X112,X113,X114))
        | X114 = waterLevel(esk11_3(X112,X113,X114)) )
      & ( ~ epred1_3(X114,X113,X112)
        | X114 = filling
        | X114 = spilling
        | X114 = waterLevel(esk10_3(X112,X113,X114))
        | X113 = overflow )
      & ( ~ epred1_3(X114,X113,X112)
        | X114 = filling
        | X114 = spilling
        | X114 = waterLevel(esk10_3(X112,X113,X114))
        | holdsAt(waterLevel(esk11_3(X112,X113,X114)),X112) )
      & ( ~ epred1_3(X114,X113,X112)
        | X114 = filling
        | X114 = spilling
        | X113 = tapOff
        | X114 = waterLevel(esk11_3(X112,X113,X114)) )
      & ( ~ epred1_3(X114,X113,X112)
        | X114 = filling
        | X114 = spilling
        | X113 = tapOff
        | X113 = overflow )
      & ( ~ epred1_3(X114,X113,X112)
        | X114 = filling
        | X114 = spilling
        | X113 = tapOff
        | holdsAt(waterLevel(esk11_3(X112,X113,X114)),X112) )
      & ( ~ epred1_3(X114,X113,X112)
        | X114 = filling
        | X114 = spilling
        | holdsAt(waterLevel(esk10_3(X112,X113,X114)),X112)
        | X114 = waterLevel(esk11_3(X112,X113,X114)) )
      & ( ~ epred1_3(X114,X113,X112)
        | X114 = filling
        | X114 = spilling
        | holdsAt(waterLevel(esk10_3(X112,X113,X114)),X112)
        | X113 = overflow )
      & ( ~ epred1_3(X114,X113,X112)
        | X114 = filling
        | X114 = spilling
        | holdsAt(waterLevel(esk10_3(X112,X113,X114)),X112)
        | holdsAt(waterLevel(esk11_3(X112,X113,X114)),X112) )
      & ( ~ epred1_3(X114,X113,X112)
        | X114 = filling
        | X113 = overflow
        | X114 = waterLevel(esk10_3(X112,X113,X114))
        | X114 = waterLevel(esk11_3(X112,X113,X114)) )
      & ( ~ epred1_3(X114,X113,X112)
        | X114 = filling
        | X113 = overflow
        | X114 = waterLevel(esk10_3(X112,X113,X114))
        | X113 = overflow )
      & ( ~ epred1_3(X114,X113,X112)
        | X114 = filling
        | X113 = overflow
        | X114 = waterLevel(esk10_3(X112,X113,X114))
        | holdsAt(waterLevel(esk11_3(X112,X113,X114)),X112) )
      & ( ~ epred1_3(X114,X113,X112)
        | X114 = filling
        | X113 = overflow
        | X113 = tapOff
        | X114 = waterLevel(esk11_3(X112,X113,X114)) )
      & ( ~ epred1_3(X114,X113,X112)
        | X114 = filling
        | X113 = overflow
        | X113 = tapOff
        | X113 = overflow )
      & ( ~ epred1_3(X114,X113,X112)
        | X114 = filling
        | X113 = overflow
        | X113 = tapOff
        | holdsAt(waterLevel(esk11_3(X112,X113,X114)),X112) )
      & ( ~ epred1_3(X114,X113,X112)
        | X114 = filling
        | X113 = overflow
        | holdsAt(waterLevel(esk10_3(X112,X113,X114)),X112)
        | X114 = waterLevel(esk11_3(X112,X113,X114)) )
      & ( ~ epred1_3(X114,X113,X112)
        | X114 = filling
        | X113 = overflow
        | holdsAt(waterLevel(esk10_3(X112,X113,X114)),X112)
        | X113 = overflow )
      & ( ~ epred1_3(X114,X113,X112)
        | X114 = filling
        | X113 = overflow
        | holdsAt(waterLevel(esk10_3(X112,X113,X114)),X112)
        | holdsAt(waterLevel(esk11_3(X112,X113,X114)),X112) )
      & ( ~ epred1_3(X114,X113,X112)
        | X113 = tapOn
        | X114 = spilling
        | X114 = waterLevel(esk10_3(X112,X113,X114))
        | X114 = waterLevel(esk11_3(X112,X113,X114)) )
      & ( ~ epred1_3(X114,X113,X112)
        | X113 = tapOn
        | X114 = spilling
        | X114 = waterLevel(esk10_3(X112,X113,X114))
        | X113 = overflow )
      & ( ~ epred1_3(X114,X113,X112)
        | X113 = tapOn
        | X114 = spilling
        | X114 = waterLevel(esk10_3(X112,X113,X114))
        | holdsAt(waterLevel(esk11_3(X112,X113,X114)),X112) )
      & ( ~ epred1_3(X114,X113,X112)
        | X113 = tapOn
        | X114 = spilling
        | X113 = tapOff
        | X114 = waterLevel(esk11_3(X112,X113,X114)) )
      & ( ~ epred1_3(X114,X113,X112)
        | X113 = tapOn
        | X114 = spilling
        | X113 = tapOff
        | X113 = overflow )
      & ( ~ epred1_3(X114,X113,X112)
        | X113 = tapOn
        | X114 = spilling
        | X113 = tapOff
        | holdsAt(waterLevel(esk11_3(X112,X113,X114)),X112) )
      & ( ~ epred1_3(X114,X113,X112)
        | X113 = tapOn
        | X114 = spilling
        | holdsAt(waterLevel(esk10_3(X112,X113,X114)),X112)
        | X114 = waterLevel(esk11_3(X112,X113,X114)) )
      & ( ~ epred1_3(X114,X113,X112)
        | X113 = tapOn
        | X114 = spilling
        | holdsAt(waterLevel(esk10_3(X112,X113,X114)),X112)
        | X113 = overflow )
      & ( ~ epred1_3(X114,X113,X112)
        | X113 = tapOn
        | X114 = spilling
        | holdsAt(waterLevel(esk10_3(X112,X113,X114)),X112)
        | holdsAt(waterLevel(esk11_3(X112,X113,X114)),X112) )
      & ( ~ epred1_3(X114,X113,X112)
        | X113 = tapOn
        | X113 = overflow
        | X114 = waterLevel(esk10_3(X112,X113,X114))
        | X114 = waterLevel(esk11_3(X112,X113,X114)) )
      & ( ~ epred1_3(X114,X113,X112)
        | X113 = tapOn
        | X113 = overflow
        | X114 = waterLevel(esk10_3(X112,X113,X114))
        | X113 = overflow )
      & ( ~ epred1_3(X114,X113,X112)
        | X113 = tapOn
        | X113 = overflow
        | X114 = waterLevel(esk10_3(X112,X113,X114))
        | holdsAt(waterLevel(esk11_3(X112,X113,X114)),X112) )
      & ( ~ epred1_3(X114,X113,X112)
        | X113 = tapOn
        | X113 = overflow
        | X113 = tapOff
        | X114 = waterLevel(esk11_3(X112,X113,X114)) )
      & ( ~ epred1_3(X114,X113,X112)
        | X113 = tapOn
        | X113 = overflow
        | X113 = tapOff
        | X113 = overflow )
      & ( ~ epred1_3(X114,X113,X112)
        | X113 = tapOn
        | X113 = overflow
        | X113 = tapOff
        | holdsAt(waterLevel(esk11_3(X112,X113,X114)),X112) )
      & ( ~ epred1_3(X114,X113,X112)
        | X113 = tapOn
        | X113 = overflow
        | holdsAt(waterLevel(esk10_3(X112,X113,X114)),X112)
        | X114 = waterLevel(esk11_3(X112,X113,X114)) )
      & ( ~ epred1_3(X114,X113,X112)
        | X113 = tapOn
        | X113 = overflow
        | holdsAt(waterLevel(esk10_3(X112,X113,X114)),X112)
        | X113 = overflow )
      & ( ~ epred1_3(X114,X113,X112)
        | X113 = tapOn
        | X113 = overflow
        | holdsAt(waterLevel(esk10_3(X112,X113,X114)),X112)
        | holdsAt(waterLevel(esk11_3(X112,X113,X114)),X112) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_48])])])])])])]) ).

cnf(c_0_50,plain,
    ( ~ epred1_3(X3,X1,X2)
    | X1 = tapOn
    | X1 = overflow
    | holdsAt(waterLevel(esk10_3(X2,X1,X3)),X2)
    | X1 = overflow ),
    inference(split_conjunct,[status(thm)],[c_0_49]) ).

cnf(c_0_51,plain,
    ( ~ epred1_3(X2,X1,X3)
    | X1 = tapOn
    | X1 = overflow
    | X2 = waterLevel(esk10_3(X3,X1,X2))
    | X1 = overflow ),
    inference(split_conjunct,[status(thm)],[c_0_49]) ).

fof(c_0_52,axiom,
    ! [X4,X2,X5] :
      ( initiates(X4,X2,X5)
    <=> epred1_3(X2,X4,X5) ),
    inference(apply_def,[status(thm)],[initiates_all_defn,c_0_48]) ).

cnf(c_0_53,plain,
    ( ~ epred1_3(X3,X1,X2)
    | holdsAt(waterLevel(esk10_3(X2,X1,X3)),X2)
    | X1 = overflow
    | X1 = tapOn ),
    inference(cn,[status(thm)],[c_0_50]) ).

cnf(c_0_54,plain,
    ( ~ epred1_3(X2,X1,X3)
    | X2 = waterLevel(esk10_3(X3,X1,X2))
    | X1 = overflow
    | X1 = tapOn ),
    inference(cn,[status(thm)],[c_0_51]) ).

cnf(c_0_55,plain,
    ( X4 != waterLevel(X1)
    | X3 != tapOff
    | ~ holdsAt(waterLevel(X1),X2)
    | epred1_3(X4,X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_49]) ).

cnf(c_0_56,hypothesis,
    holdsAt(waterLevel(n0),n0),
    inference(split_conjunct,[status(thm)],[waterLevel_0]) ).

fof(c_0_57,plain,
    tapOff != tapOn,
    inference(fof_simplification,[status(thm)],[tapOff_not_tapOn]) ).

fof(c_0_58,plain,
    tapOff != overflow,
    inference(fof_simplification,[status(thm)],[tapOff_not_overflow]) ).

fof(c_0_59,plain,
    ! [X56,X57,X58] :
      ( holdsAt(X58,plus(X57,n1))
      | ~ initiates(X56,X58,X57)
      | ~ happens(X56,X57) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[happens_holds])])]) ).

fof(c_0_60,plain,
    ! [X68,X69,X70] :
      ( ( initiates(X68,X69,X70)
        | ~ epred1_3(X69,X68,X70) )
      & ( epred1_3(X69,X68,X70)
        | ~ initiates(X68,X69,X70) ) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_52])])]) ).

cnf(c_0_61,plain,
    ( ~ epred1_3(X2,X1,X3)
    | holdsAt(X2,X3)
    | X1 = tapOn
    | X1 = overflow ),
    inference(spm,[status(thm)],[c_0_53,c_0_54]) ).

cnf(c_0_62,hypothesis,
    ( X2 != tapOff
    | X1 != waterLevel(n0)
    | epred1_3(X1,X2,n0) ),
    inference(spm,[status(thm)],[c_0_55,c_0_56]) ).

fof(c_0_63,plain,
    tapOff != tapOn,
    inference(fof_nnf,[status(thm)],[c_0_57]) ).

fof(c_0_64,plain,
    tapOff != overflow,
    inference(fof_nnf,[status(thm)],[c_0_58]) ).

fof(c_0_65,plain,
    ! [X2,X5] :
      ( ( ~ ? [X4] :
              ( releases(X4,X2,X5)
              & happens(X4,X5) )
        & ~ releasedAt(X2,X5) )
     => ~ releasedAt(X2,plus(X5,n1)) ),
    inference(fof_simplification,[status(thm)],[keep_not_released]) ).

fof(c_0_66,plain,
    ! [X4,X5,X2] :
      ( ( ( terminates(X4,X2,X5)
          | initiates(X4,X2,X5) )
        & happens(X4,X5) )
     => ~ releasedAt(X2,plus(X5,n1)) ),
    inference(fof_simplification,[status(thm)],[happens_not_released]) ).

cnf(c_0_67,plain,
    ( ~ initiates(X1,X3,X2)
    | ~ happens(X1,X2)
    | holdsAt(X3,plus(X2,n1)) ),
    inference(split_conjunct,[status(thm)],[c_0_59]) ).

cnf(c_0_68,plain,
    ( ~ epred1_3(X1,X2,X3)
    | initiates(X2,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_60]) ).

fof(c_0_69,plain,
    ! [X84,X85,X86,X87] :
      ( trajectory(filling,X85,waterLevel(X86),X87)
      | X86 != plus(X84,X87)
      | ~ holdsAt(waterLevel(X84),X85) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[change_of_waterLevel])])]) ).

cnf(c_0_70,hypothesis,
    ( X1 != tapOff
    | X2 != waterLevel(n0)
    | holdsAt(X2,n0)
    | X1 = overflow
    | X1 = tapOn ),
    inference(spm,[status(thm)],[c_0_61,c_0_62]) ).

cnf(c_0_71,plain,
    tapOff != tapOn,
    inference(split_conjunct,[status(thm)],[c_0_63]) ).

cnf(c_0_72,plain,
    tapOff != overflow,
    inference(split_conjunct,[status(thm)],[c_0_64]) ).

fof(c_0_73,plain,
    ! [X74,X75,X76,X78,X79,X80,X81] :
      ( ( releases(X78,X79,X81)
        | X79 != waterLevel(X80)
        | X78 != tapOn )
      & ( ~ releases(X74,X75,X76)
        | X75 = waterLevel(esk9_2(X74,X75)) )
      & ( ~ releases(X74,X75,X76)
        | X74 = tapOn ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[releases_all_defn])])])])])])]) ).

fof(c_0_74,plain,
    ! [X82,X83] :
      ( ( happens(X82,X83)
        | X82 != overflow
        | ~ holdsAt(filling,X83)
        | ~ holdsAt(waterLevel(n3),X83) )
      & ( happens(X82,X83)
        | X83 != n0
        | X82 != tapOn )
      & ( ~ happens(X82,X83)
        | X83 = n0
        | X82 = overflow )
      & ( ~ happens(X82,X83)
        | X83 = n0
        | holdsAt(filling,X83) )
      & ( ~ happens(X82,X83)
        | X83 = n0
        | holdsAt(waterLevel(n3),X83) )
      & ( ~ happens(X82,X83)
        | X82 = tapOn
        | X82 = overflow )
      & ( ~ happens(X82,X83)
        | X82 = tapOn
        | holdsAt(filling,X83) )
      & ( ~ happens(X82,X83)
        | X82 = tapOn
        | holdsAt(waterLevel(n3),X83) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[happens_all_defn])])])]) ).

fof(c_0_75,plain,
    ! [X53,X54] :
      ( ( ~ releasedAt(X53,plus(X54,n1))
        | releasedAt(X53,X54)
        | releases(esk8_2(X53,X54),X53,X54) )
      & ( ~ releasedAt(X53,plus(X54,n1))
        | releasedAt(X53,X54)
        | happens(esk8_2(X53,X54),X54) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_65])])])])]) ).

fof(c_0_76,plain,
    overflow != tapOn,
    inference(fof_simplification,[status(thm)],[overflow_not_tapOn]) ).

fof(c_0_77,plain,
    ! [X65,X66,X67] :
      ( ( ~ releasedAt(X67,plus(X66,n1))
        | ~ happens(X65,X66)
        | ~ terminates(X65,X67,X66) )
      & ( ~ releasedAt(X67,plus(X66,n1))
        | ~ happens(X65,X66)
        | ~ initiates(X65,X67,X66) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_66])])])]) ).

fof(c_0_78,plain,
    ! [X95,X96] : plus(X95,X96) = plus(X96,X95),
    inference(variable_rename,[status(thm)],[symmetry_of_plus]) ).

cnf(c_0_79,plain,
    ( ~ happens(X3,X2)
    | ~ epred1_3(X1,X3,X2)
    | holdsAt(X1,plus(X2,n1)) ),
    inference(spm,[status(thm)],[c_0_67,c_0_68]) ).

cnf(c_0_80,plain,
    ( X2 != filling
    | X1 != tapOn
    | epred1_3(X2,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_49]) ).

cnf(c_0_81,plain,
    ( X3 != plus(X1,X4)
    | ~ holdsAt(waterLevel(X1),X2)
    | trajectory(filling,X2,waterLevel(X3),X4) ),
    inference(split_conjunct,[status(thm)],[c_0_69]) ).

cnf(c_0_82,hypothesis,
    ( X1 != waterLevel(n0)
    | holdsAt(X1,n0) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(er,[status(thm)],[c_0_70]),c_0_71]),c_0_72]) ).

fof(c_0_83,plain,
    ! [X97,X98] :
      ( ( less_or_equal(X97,X98)
        | X97 != X98 )
      & ( less_or_equal(X97,X98)
        | ~ less(X97,X98) )
      & ( X97 = X98
        | less(X97,X98)
        | ~ less_or_equal(X97,X98) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[less_or_equal])])])]) ).

fof(c_0_84,plain,
    ! [X100] :
      ( ( less(X100,n1)
        | ~ less_or_equal(X100,n0) )
      & ( less_or_equal(X100,n0)
        | ~ less(X100,n1) ) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[less1])])]) ).

fof(c_0_85,plain,
    ! [X99] : ~ less(X99,n0),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[less0])])]) ).

fof(c_0_86,plain,
    ! [X62,X63,X64] :
      ( releasedAt(X64,plus(X63,n1))
      | ~ releases(X62,X64,X63)
      | ~ happens(X62,X63) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[happens_releases])])]) ).

cnf(c_0_87,plain,
    ( X2 != waterLevel(X3)
    | X1 != tapOn
    | releases(X1,X2,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_73]) ).

cnf(c_0_88,plain,
    ( ~ happens(X1,X2)
    | X2 = n0
    | X1 = overflow ),
    inference(split_conjunct,[status(thm)],[c_0_74]) ).

cnf(c_0_89,plain,
    ( ~ releasedAt(X1,plus(X2,n1))
    | releasedAt(X1,X2)
    | happens(esk8_2(X1,X2),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_75]) ).

cnf(c_0_90,plain,
    ( ~ releases(X1,X2,X3)
    | X1 = tapOn ),
    inference(split_conjunct,[status(thm)],[c_0_73]) ).

cnf(c_0_91,plain,
    ( ~ releasedAt(X1,plus(X2,n1))
    | releasedAt(X1,X2)
    | releases(esk8_2(X1,X2),X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_75]) ).

fof(c_0_92,plain,
    overflow != tapOn,
    inference(fof_nnf,[status(thm)],[c_0_76]) ).

fof(c_0_93,plain,
    ! [X2,X5] :
      ( ( ~ ? [X4] :
              ( terminates(X4,X2,X5)
              & happens(X4,X5) )
        & ~ releasedAt(X2,plus(X5,n1))
        & holdsAt(X2,X5) )
     => holdsAt(X2,plus(X5,n1)) ),
    inference(fof_simplification,[status(thm)],[keep_holding]) ).

cnf(c_0_94,plain,
    ( ~ releasedAt(X2,plus(X3,n1))
    | ~ happens(X1,X3)
    | ~ initiates(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_77]) ).

cnf(c_0_95,plain,
    plus(X1,X2) = plus(X2,X1),
    inference(split_conjunct,[status(thm)],[c_0_78]) ).

cnf(c_0_96,plain,
    plus(n0,n1) = n1,
    inference(split_conjunct,[status(thm)],[plus0_1]) ).

fof(c_0_97,plain,
    ( ~ epred21_0
  <=> ! [X2] :
        ( X2 != tapOn
        | ~ happens(X2,n0) ) ),
    introduced(definition) ).

cnf(c_0_98,plain,
    ( ~ happens(X3,X2)
    | X3 != tapOn
    | X1 != filling
    | holdsAt(X1,plus(X2,n1)) ),
    inference(spm,[status(thm)],[c_0_79,c_0_80]) ).

cnf(c_0_99,plain,
    ( X2 != n0
    | X1 != tapOn
    | happens(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_74]) ).

cnf(c_0_100,hypothesis,
    ( X1 != plus(X3,X2)
    | waterLevel(X3) != waterLevel(n0)
    | trajectory(filling,n0,waterLevel(X1),X2) ),
    inference(spm,[status(thm)],[c_0_81,c_0_82]) ).

cnf(c_0_101,plain,
    ( ~ less_or_equal(X1,X2)
    | X1 = X2
    | less(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_83]) ).

cnf(c_0_102,plain,
    ( ~ less(X1,n1)
    | less_or_equal(X1,n0) ),
    inference(split_conjunct,[status(thm)],[c_0_84]) ).

cnf(c_0_103,plain,
    ~ less(X1,n0),
    inference(split_conjunct,[status(thm)],[c_0_85]) ).

fof(c_0_104,plain,
    ! [X14,X15,X16,X19,X20,X21,X22,X23] :
      ( ( stoppedIn(X19,X20,X21)
        | ~ terminates(X22,X20,X23)
        | ~ less(X23,X21)
        | ~ less(X19,X23)
        | ~ happens(X22,X23) )
      & ( ~ stoppedIn(X14,X15,X16)
        | terminates(esk1_3(X14,X15,X16),X15,esk2_3(X14,X15,X16)) )
      & ( ~ stoppedIn(X14,X15,X16)
        | less(esk2_3(X14,X15,X16),X16) )
      & ( ~ stoppedIn(X14,X15,X16)
        | less(X14,esk2_3(X14,X15,X16)) )
      & ( ~ stoppedIn(X14,X15,X16)
        | happens(esk1_3(X14,X15,X16),esk2_3(X14,X15,X16)) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[stoppedin_defn])])])])])])]) ).

cnf(c_0_105,plain,
    ( ~ releases(X1,X3,X2)
    | ~ happens(X1,X2)
    | releasedAt(X3,plus(X2,n1)) ),
    inference(split_conjunct,[status(thm)],[c_0_86]) ).

cnf(c_0_106,plain,
    ( X1 != tapOn
    | releases(X1,waterLevel(X2),X3) ),
    inference(er,[status(thm)],[c_0_87]) ).

cnf(c_0_107,plain,
    ( ~ releasedAt(X1,plus(X2,n1))
    | releasedAt(X1,X2)
    | X2 = n0
    | esk8_2(X1,X2) = overflow ),
    inference(spm,[status(thm)],[c_0_88,c_0_89]) ).

cnf(c_0_108,plain,
    ( ~ releasedAt(X1,plus(X2,n1))
    | releasedAt(X1,X2)
    | esk8_2(X1,X2) = tapOn ),
    inference(spm,[status(thm)],[c_0_90,c_0_91]) ).

cnf(c_0_109,plain,
    overflow != tapOn,
    inference(split_conjunct,[status(thm)],[c_0_92]) ).

fof(c_0_110,plain,
    ! [X44,X45] :
      ( ( holdsAt(X44,plus(X45,n1))
        | releasedAt(X44,plus(X45,n1))
        | ~ holdsAt(X44,X45)
        | terminates(esk5_2(X44,X45),X44,X45) )
      & ( holdsAt(X44,plus(X45,n1))
        | releasedAt(X44,plus(X45,n1))
        | ~ holdsAt(X44,X45)
        | happens(esk5_2(X44,X45),X45) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_93])])])])]) ).

cnf(c_0_111,plain,
    ( ~ happens(X3,X2)
    | ~ initiates(X3,X1,X2)
    | ~ releasedAt(X1,plus(n1,X2)) ),
    inference(spm,[status(thm)],[c_0_94,c_0_95]) ).

cnf(c_0_112,plain,
    plus(n1,n0) = n1,
    inference(rw,[status(thm)],[c_0_96,c_0_95]) ).

cnf(c_0_113,plain,
    ( ~ happens(X1,n0)
    | X1 != tapOn
    | epred21_0 ),
    inference(split_equiv,[status(thm)],[c_0_97]) ).

cnf(c_0_114,plain,
    ( X2 != n0
    | X3 != tapOn
    | X1 != filling
    | holdsAt(X1,plus(X2,n1)) ),
    inference(spm,[status(thm)],[c_0_98,c_0_99]) ).

fof(c_0_115,plain,
    ! [X4,X5,X2,X6,X7] :
      ( ( ~ stoppedIn(X5,X2,plus(X5,X7))
        & trajectory(X2,X5,X6,X7)
        & less(n0,X7)
        & initiates(X4,X2,X5)
        & happens(X4,X5) )
     => holdsAt(X6,plus(X5,X7)) ),
    inference(fof_simplification,[status(thm)],[change_holding]) ).

cnf(c_0_116,hypothesis,
    ( X1 != plus(X2,X3)
    | waterLevel(X3) != waterLevel(n0)
    | trajectory(filling,n0,waterLevel(X1),X2) ),
    inference(spm,[status(thm)],[c_0_100,c_0_95]) ).

cnf(c_0_117,plain,
    ( X1 != X2
    | less_or_equal(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_83]) ).

cnf(c_0_118,plain,
    ( ~ less(X1,n1)
    | X1 = n0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_102]),c_0_103]) ).

cnf(c_0_119,plain,
    ( ~ stoppedIn(X1,X2,X3)
    | less(esk2_3(X1,X2,X3),X3) ),
    inference(split_conjunct,[status(thm)],[c_0_104]) ).

cnf(c_0_120,plain,
    ( ~ happens(X3,X2)
    | X3 != tapOn
    | releasedAt(waterLevel(X1),plus(X2,n1)) ),
    inference(spm,[status(thm)],[c_0_105,c_0_106]) ).

cnf(c_0_121,plain,
    ( ~ releasedAt(X2,plus(X1,n1))
    | releasedAt(X2,X1)
    | X1 = n0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_108]),c_0_109]) ).

cnf(c_0_122,plain,
    ( ~ happens(X2,X1)
    | X1 = n0
    | holdsAt(waterLevel(n3),X1) ),
    inference(split_conjunct,[status(thm)],[c_0_74]) ).

cnf(c_0_123,plain,
    ( ~ holdsAt(X1,X2)
    | holdsAt(X1,plus(X2,n1))
    | releasedAt(X1,plus(X2,n1))
    | happens(esk5_2(X1,X2),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_110]) ).

cnf(c_0_124,plain,
    ( ~ happens(X2,n0)
    | ~ initiates(X2,X1,n0)
    | ~ releasedAt(X1,n1) ),
    inference(spm,[status(thm)],[c_0_111,c_0_112]) ).

cnf(c_0_125,plain,
    ( X1 != tapOn
    | epred21_0 ),
    inference(spm,[status(thm)],[c_0_113,c_0_99]) ).

cnf(c_0_126,plain,
    ( X2 != n0
    | X1 != filling
    | holdsAt(X1,plus(X2,n1)) ),
    inference(er,[status(thm)],[c_0_114]) ).

fof(c_0_127,plain,
    ! [X34,X35,X36,X37,X38] :
      ( holdsAt(X37,plus(X35,X38))
      | stoppedIn(X35,X36,plus(X35,X38))
      | ~ trajectory(X36,X35,X37,X38)
      | ~ less(n0,X38)
      | ~ initiates(X34,X36,X35)
      | ~ happens(X34,X35) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_115])])]) ).

cnf(c_0_128,hypothesis,
    ( waterLevel(X2) != waterLevel(n0)
    | trajectory(filling,n0,waterLevel(plus(X1,X2)),X1) ),
    inference(er,[status(thm)],[c_0_116]) ).

cnf(c_0_129,plain,
    ( ~ less_or_equal(X1,n0)
    | less(X1,n1) ),
    inference(split_conjunct,[status(thm)],[c_0_84]) ).

cnf(c_0_130,plain,
    less_or_equal(X1,X1),
    inference(er,[status(thm)],[c_0_117]) ).

cnf(c_0_131,plain,
    ( ~ stoppedIn(X1,X2,X3)
    | less(X1,esk2_3(X1,X2,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_104]) ).

cnf(c_0_132,plain,
    ( ~ stoppedIn(X1,X2,n1)
    | esk2_3(X1,X2,n1) = n0 ),
    inference(spm,[status(thm)],[c_0_118,c_0_119]) ).

fof(c_0_133,hypothesis,
    ! [X9] : ~ releasedAt(waterLevel(X9),n0),
    inference(fof_simplification,[status(thm)],[not_released_waterLevel_0]) ).

cnf(c_0_134,plain,
    ( X2 != n0
    | X3 != tapOn
    | releasedAt(waterLevel(X1),plus(X2,n1)) ),
    inference(spm,[status(thm)],[c_0_120,c_0_99]) ).

fof(c_0_135,plain,
    ( ~ epred16_0
  <=> ! [X1] :
        ( X1 != filling
        | ~ releasedAt(X1,n1) ) ),
    introduced(definition) ).

cnf(c_0_136,plain,
    ( ~ releasedAt(X2,plus(n1,X1))
    | releasedAt(X2,X1)
    | X1 = n0 ),
    inference(spm,[status(thm)],[c_0_121,c_0_95]) ).

cnf(c_0_137,plain,
    ( ~ holdsAt(X2,X1)
    | holdsAt(waterLevel(n3),X1)
    | holdsAt(X2,plus(X1,n1))
    | releasedAt(X2,plus(X1,n1))
    | X1 = n0 ),
    inference(spm,[status(thm)],[c_0_122,c_0_123]) ).

cnf(c_0_138,plain,
    plus(n1,n1) = n2,
    inference(split_conjunct,[status(thm)],[plus1_1]) ).

cnf(c_0_139,plain,
    ( ~ happens(X2,n0)
    | ~ releasedAt(X1,n1)
    | ~ epred1_3(X1,X2,n0) ),
    inference(spm,[status(thm)],[c_0_124,c_0_68]) ).

cnf(c_0_140,plain,
    epred21_0,
    inference(er,[status(thm)],[c_0_125]) ).

cnf(c_0_141,plain,
    ( X2 != n0
    | X1 != filling
    | holdsAt(X1,plus(n1,X2)) ),
    inference(spm,[status(thm)],[c_0_126,c_0_95]) ).

cnf(c_0_142,plain,
    ( ~ trajectory(X3,X2,X5,X4)
    | ~ less(n0,X4)
    | ~ initiates(X1,X3,X2)
    | ~ happens(X1,X2)
    | holdsAt(X5,plus(X2,X4))
    | stoppedIn(X2,X3,plus(X2,X4)) ),
    inference(split_conjunct,[status(thm)],[c_0_127]) ).

cnf(c_0_143,hypothesis,
    trajectory(filling,n0,waterLevel(n1),n1),
    inference(spm,[status(thm)],[c_0_128,c_0_112]) ).

cnf(c_0_144,plain,
    less(n0,n1),
    inference(spm,[status(thm)],[c_0_129,c_0_130]) ).

cnf(c_0_145,plain,
    ~ stoppedIn(X1,X2,n1),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_132]),c_0_103]) ).

fof(c_0_146,hypothesis,
    ! [X111] : ~ releasedAt(waterLevel(X111),n0),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_133])]) ).

cnf(c_0_147,plain,
    ( ~ releasedAt(X1,plus(X2,n1))
    | happens(tapOn,X2)
    | releasedAt(X1,X2) ),
    inference(spm,[status(thm)],[c_0_89,c_0_108]) ).

cnf(c_0_148,plain,
    ( X2 != n0
    | releasedAt(waterLevel(X1),plus(X2,n1)) ),
    inference(er,[status(thm)],[c_0_134]) ).

cnf(c_0_149,plain,
    ( ~ releasedAt(X1,n1)
    | X1 != filling
    | epred16_0 ),
    inference(split_equiv,[status(thm)],[c_0_135]) ).

cnf(c_0_150,plain,
    ( ~ holdsAt(X1,n1)
    | holdsAt(X1,n2)
    | holdsAt(waterLevel(n3),n1)
    | releasedAt(X1,n1)
    | n0 = n1 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_137]),c_0_138]) ).

cnf(c_0_151,plain,
    ~ epred16_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_80]),c_0_135]),c_0_97]),c_0_140])]) ).

cnf(c_0_152,plain,
    ( X1 != filling
    | holdsAt(X1,n1) ),
    inference(spm,[status(thm)],[c_0_141,c_0_112]) ).

cnf(c_0_153,plain,
    ( X1 != filling
    | n0 != n1
    | holdsAt(X1,n2) ),
    inference(spm,[status(thm)],[c_0_126,c_0_138]) ).

cnf(c_0_154,hypothesis,
    ( ~ happens(X1,n0)
    | ~ initiates(X1,filling,n0)
    | holdsAt(waterLevel(n1),n1) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_143]),c_0_95]),c_0_112]),c_0_95]),c_0_112]),c_0_144])]),c_0_145]) ).

cnf(c_0_155,hypothesis,
    ~ releasedAt(waterLevel(X1),n0),
    inference(split_conjunct,[status(thm)],[c_0_146]) ).

cnf(c_0_156,plain,
    ( X2 != n0
    | happens(tapOn,X2)
    | releasedAt(waterLevel(X1),X2) ),
    inference(spm,[status(thm)],[c_0_147,c_0_148]) ).

fof(c_0_157,plain,
    ! [X4,X5,X2] :
      ( ( terminates(X4,X2,X5)
        & happens(X4,X5) )
     => ~ holdsAt(X2,plus(X5,n1)) ),
    inference(fof_simplification,[status(thm)],[happens_terminates_not_holds]) ).

fof(c_0_158,plain,
    ! [X88,X89,X90] :
      ( X89 = X90
      | ~ holdsAt(waterLevel(X90),X88)
      | ~ holdsAt(waterLevel(X89),X88) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[same_waterLevel])])]) ).

cnf(c_0_159,plain,
    ( X1 != filling
    | holdsAt(X1,n2)
    | holdsAt(waterLevel(n3),n1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_150]),c_0_151]),c_0_152]),c_0_153]) ).

cnf(c_0_160,hypothesis,
    ( ~ happens(X1,n0)
    | ~ epred1_3(filling,X1,n0)
    | holdsAt(waterLevel(n1),n1) ),
    inference(spm,[status(thm)],[c_0_154,c_0_68]) ).

cnf(c_0_161,hypothesis,
    happens(tapOn,n0),
    inference(spm,[status(thm)],[c_0_155,c_0_156]) ).

fof(c_0_162,plain,
    ! [X59,X60,X61] :
      ( ~ holdsAt(X61,plus(X60,n1))
      | ~ terminates(X59,X61,X60)
      | ~ happens(X59,X60) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_157])])]) ).

fof(c_0_163,plain,
    ! [X71,X72,X73] :
      ( ( terminates(X71,X72,X73)
        | X72 != filling
        | X71 != overflow )
      & ( terminates(X71,X72,X73)
        | X72 != filling
        | X71 != tapOff )
      & ( ~ terminates(X71,X72,X73)
        | X72 = filling
        | X72 = filling )
      & ( ~ terminates(X71,X72,X73)
        | X72 = filling
        | X71 = overflow )
      & ( ~ terminates(X71,X72,X73)
        | X71 = tapOff
        | X72 = filling )
      & ( ~ terminates(X71,X72,X73)
        | X71 = tapOff
        | X71 = overflow ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[terminates_all_defn])])])]) ).

cnf(c_0_164,plain,
    ( ~ holdsAt(waterLevel(X3),X2)
    | ~ holdsAt(waterLevel(X1),X2)
    | X1 = X3 ),
    inference(split_conjunct,[status(thm)],[c_0_158]) ).

cnf(c_0_165,plain,
    ( holdsAt(filling,n2)
    | holdsAt(waterLevel(n3),n1) ),
    inference(er,[status(thm)],[c_0_159]) ).

cnf(c_0_166,hypothesis,
    ( ~ epred1_3(filling,tapOn,n0)
    | holdsAt(waterLevel(n1),n1) ),
    inference(spm,[status(thm)],[c_0_160,c_0_161]) ).

fof(c_0_167,plain,
    ! [X12,X13] :
      ( less(X12,X13)
    <=> ( X13 != X12
        & ~ less(X13,X12) ) ),
    inference(fof_simplification,[status(thm)],[less_property]) ).

fof(c_0_168,plain,
    ! [X101] :
      ( ( less(X101,n2)
        | ~ less_or_equal(X101,n1) )
      & ( less_or_equal(X101,n1)
        | ~ less(X101,n2) ) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[less2])])]) ).

cnf(c_0_169,plain,
    ( ~ holdsAt(X3,plus(X2,n1))
    | ~ terminates(X1,X3,X2)
    | ~ happens(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_162]) ).

cnf(c_0_170,plain,
    ( X2 != filling
    | X1 != overflow
    | terminates(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_163]) ).

fof(c_0_171,plain,
    ( ~ epred26_0
  <=> ! [X1] :
        ( X1 != filling
        | ~ holdsAt(X1,n1) ) ),
    introduced(definition) ).

fof(c_0_172,plain,
    ! [X102] :
      ( ( less(X102,n3)
        | ~ less_or_equal(X102,n2) )
      & ( less_or_equal(X102,n2)
        | ~ less(X102,n3) ) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[less3])])]) ).

fof(c_0_173,plain,
    ( ~ epred2_0
  <=> ! [X1] :
        ( X1 != filling
        | ~ holdsAt(X1,n2) ) ),
    introduced(definition) ).

cnf(c_0_174,plain,
    ( ~ holdsAt(waterLevel(X1),n1)
    | holdsAt(filling,n2)
    | X1 = n3 ),
    inference(spm,[status(thm)],[c_0_164,c_0_165]) ).

cnf(c_0_175,plain,
    holdsAt(waterLevel(n1),n1),
    inference(spm,[status(thm)],[c_0_166,c_0_80]) ).

fof(c_0_176,plain,
    ! [X109,X110] :
      ( ( less(X109,X110)
        | X110 = X109
        | less(X110,X109) )
      & ( ~ less(X109,X110)
        | X110 != X109 )
      & ( ~ less(X109,X110)
        | ~ less(X110,X109) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_167])])])]) ).

cnf(c_0_177,plain,
    ( ~ less_or_equal(X1,n1)
    | less(X1,n2) ),
    inference(split_conjunct,[status(thm)],[c_0_168]) ).

fof(c_0_178,plain,
    ( ~ epred27_0
  <=> ! [X1] : X1 != filling ),
    introduced(definition) ).

fof(c_0_179,plain,
    ! [X12] : spilling != waterLevel(X12),
    inference(fof_simplification,[status(thm)],[spilling_not_waterLevel]) ).

cnf(c_0_180,plain,
    ( ~ happens(X2,X3)
    | ~ holdsAt(X1,plus(X3,n1))
    | X2 != overflow
    | X1 != filling ),
    inference(spm,[status(thm)],[c_0_169,c_0_170]) ).

cnf(c_0_181,plain,
    ( ~ holdsAt(X1,n1)
    | X1 != filling
    | epred26_0 ),
    inference(split_equiv,[status(thm)],[c_0_171]) ).

fof(c_0_182,plain,
    ! [X2,X5] :
      ( ( ~ ? [X4] :
              ( initiates(X4,X2,X5)
              & happens(X4,X5) )
        & ~ releasedAt(X2,plus(X5,n1))
        & ~ holdsAt(X2,X5) )
     => ~ holdsAt(X2,plus(X5,n1)) ),
    inference(fof_simplification,[status(thm)],[keep_not_holding]) ).

cnf(c_0_183,plain,
    ( ~ less_or_equal(X1,n2)
    | less(X1,n3) ),
    inference(split_conjunct,[status(thm)],[c_0_172]) ).

cnf(c_0_184,plain,
    ( ~ holdsAt(X1,n2)
    | X1 != filling
    | epred2_0 ),
    inference(split_equiv,[status(thm)],[c_0_173]) ).

cnf(c_0_185,plain,
    ( holdsAt(filling,n2)
    | n3 = n1 ),
    inference(spm,[status(thm)],[c_0_174,c_0_175]) ).

cnf(c_0_186,plain,
    ( ~ less(X2,X1)
    | ~ less(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_176]) ).

cnf(c_0_187,plain,
    less(n1,n2),
    inference(spm,[status(thm)],[c_0_177,c_0_130]) ).

cnf(c_0_188,plain,
    ( X1 != filling
    | epred27_0 ),
    inference(split_equiv,[status(thm)],[c_0_178]) ).

fof(c_0_189,plain,
    ! [X92] : spilling != waterLevel(X92),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_179])]) ).

cnf(c_0_190,plain,
    ( ~ releases(X2,X1,X3)
    | X1 = waterLevel(esk9_2(X2,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_73]) ).

fof(c_0_191,plain,
    ( ~ epred17_0
  <=> ! [X2] :
        ( X2 != overflow
        | ~ happens(X2,n0) ) ),
    introduced(definition) ).

cnf(c_0_192,plain,
    ( ~ happens(X2,X3)
    | ~ holdsAt(X1,plus(n1,X3))
    | X2 != overflow
    | X1 != filling ),
    inference(spm,[status(thm)],[c_0_180,c_0_95]) ).

cnf(c_0_193,plain,
    ( X1 != filling
    | epred26_0 ),
    inference(spm,[status(thm)],[c_0_181,c_0_152]) ).

fof(c_0_194,plain,
    ! [X47,X48] :
      ( ( ~ holdsAt(X47,plus(X48,n1))
        | releasedAt(X47,plus(X48,n1))
        | holdsAt(X47,X48)
        | initiates(esk6_2(X47,X48),X47,X48) )
      & ( ~ holdsAt(X47,plus(X48,n1))
        | releasedAt(X47,plus(X48,n1))
        | holdsAt(X47,X48)
        | happens(esk6_2(X47,X48),X48) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_182])])])])]) ).

fof(c_0_195,plain,
    ( ~ epred3_0
  <=> ! [X2] :
        ( X2 != overflow
        | ~ happens(X2,n1) ) ),
    introduced(definition) ).

cnf(c_0_196,plain,
    less(n2,n3),
    inference(spm,[status(thm)],[c_0_183,c_0_130]) ).

cnf(c_0_197,plain,
    ( epred2_0
    | n3 = n1 ),
    inference(spm,[status(thm)],[c_0_184,c_0_185]) ).

cnf(c_0_198,plain,
    ~ less(n2,n1),
    inference(spm,[status(thm)],[c_0_186,c_0_187]) ).

cnf(c_0_199,plain,
    ( X2 != spilling
    | X1 != overflow
    | epred1_3(X2,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_49]) ).

cnf(c_0_200,hypothesis,
    ( X1 != n1
    | trajectory(filling,n0,waterLevel(X1),n1) ),
    inference(spm,[status(thm)],[c_0_116,c_0_112]) ).

fof(c_0_201,plain,
    ( ~ epred31_0
  <=> ! [X3,X2] :
        ( X2 != overflow
        | X3 != n0
        | ~ happens(X2,X3) ) ),
    introduced(definition) ).

cnf(c_0_202,plain,
    epred27_0,
    inference(er,[status(thm)],[c_0_188]) ).

fof(c_0_203,plain,
    ! [X12] : filling != waterLevel(X12),
    inference(fof_simplification,[status(thm)],[filling_not_waterLevel]) ).

cnf(c_0_204,plain,
    ( ~ epred1_3(X3,X1,X2)
    | X3 = filling
    | X1 = overflow
    | holdsAt(waterLevel(esk10_3(X2,X1,X3)),X2)
    | X1 = overflow ),
    inference(split_conjunct,[status(thm)],[c_0_49]) ).

cnf(c_0_205,plain,
    ( ~ epred1_3(X2,X1,X3)
    | X2 = filling
    | X1 = overflow
    | X2 = waterLevel(esk10_3(X3,X1,X2))
    | X1 = overflow ),
    inference(split_conjunct,[status(thm)],[c_0_49]) ).

cnf(c_0_206,plain,
    spilling != waterLevel(X1),
    inference(split_conjunct,[status(thm)],[c_0_189]) ).

cnf(c_0_207,plain,
    ( ~ releasedAt(X1,plus(X2,n1))
    | releasedAt(X1,X2)
    | waterLevel(esk9_2(esk8_2(X1,X2),X1)) = X1 ),
    inference(spm,[status(thm)],[c_0_190,c_0_91]) ).

cnf(c_0_208,plain,
    ( ~ epred17_0
    | ~ epred26_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_112]),c_0_171]),c_0_191]) ).

cnf(c_0_209,plain,
    epred26_0,
    inference(er,[status(thm)],[c_0_193]) ).

cnf(c_0_210,plain,
    ( ~ happens(X1,X2)
    | X1 = tapOn
    | X1 = overflow ),
    inference(split_conjunct,[status(thm)],[c_0_74]) ).

cnf(c_0_211,plain,
    ( ~ holdsAt(X1,plus(X2,n1))
    | releasedAt(X1,plus(X2,n1))
    | holdsAt(X1,X2)
    | happens(esk6_2(X1,X2),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_194]) ).

cnf(c_0_212,plain,
    ( X2 != n0
    | releasedAt(waterLevel(X1),plus(n1,X2)) ),
    inference(spm,[status(thm)],[c_0_148,c_0_95]) ).

cnf(c_0_213,plain,
    ( ~ epred2_0
    | ~ epred3_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(spm,[status(thm)],[c_0_180,c_0_138]),c_0_173]),c_0_195]) ).

cnf(c_0_214,plain,
    epred2_0,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_196,c_0_197]),c_0_198]) ).

cnf(c_0_215,plain,
    ( ~ happens(X3,X2)
    | X3 != overflow
    | X1 != spilling
    | holdsAt(X1,plus(X2,n1)) ),
    inference(spm,[status(thm)],[c_0_79,c_0_199]) ).

cnf(c_0_216,plain,
    ( X2 != overflow
    | ~ holdsAt(filling,X1)
    | ~ holdsAt(waterLevel(n3),X1)
    | happens(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_74]) ).

cnf(c_0_217,hypothesis,
    ( ~ happens(X2,n0)
    | ~ initiates(X2,filling,n0)
    | X1 != n1
    | holdsAt(waterLevel(X1),n1) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_200]),c_0_95]),c_0_112]),c_0_95]),c_0_112]),c_0_144])]),c_0_145]) ).

cnf(c_0_218,plain,
    ~ epred31_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(spm,[status(thm)],[c_0_180,c_0_126]),c_0_178]),c_0_201]),c_0_202])]) ).

fof(c_0_219,plain,
    ( ~ epred34_0
  <=> ! [X2] : X2 != overflow ),
    introduced(definition) ).

fof(c_0_220,plain,
    ! [X91] : filling != waterLevel(X91),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_203])]) ).

cnf(c_0_221,plain,
    ( ~ epred1_3(X3,X1,X2)
    | holdsAt(waterLevel(esk10_3(X2,X1,X3)),X2)
    | X1 = overflow
    | X3 = filling ),
    inference(cn,[status(thm)],[c_0_204]) ).

cnf(c_0_222,plain,
    ( ~ epred1_3(X2,X1,X3)
    | X2 = waterLevel(esk10_3(X3,X1,X2))
    | X1 = overflow
    | X2 = filling ),
    inference(cn,[status(thm)],[c_0_205]) ).

fof(c_0_223,hypothesis,
    ~ releasedAt(spilling,n0),
    inference(fof_simplification,[status(thm)],[not_released_spilling_0]) ).

cnf(c_0_224,plain,
    ( ~ releasedAt(X1,plus(X2,n1))
    | X1 != spilling
    | releasedAt(X1,X2) ),
    inference(spm,[status(thm)],[c_0_206,c_0_207]) ).

cnf(c_0_225,plain,
    ( ~ happens(X1,n0)
    | X1 != overflow
    | epred17_0 ),
    inference(split_equiv,[status(thm)],[c_0_191]) ).

cnf(c_0_226,plain,
    ~ epred17_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_208,c_0_209])]) ).

cnf(c_0_227,plain,
    ( ~ holdsAt(X1,plus(X2,n1))
    | releasedAt(X1,plus(X2,n1))
    | holdsAt(X1,X2)
    | initiates(esk6_2(X1,X2),X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_194]) ).

cnf(c_0_228,plain,
    ( ~ holdsAt(X1,plus(X2,n1))
    | holdsAt(X1,X2)
    | releasedAt(X1,plus(X2,n1))
    | esk6_2(X1,X2) = tapOn
    | esk6_2(X1,X2) = overflow ),
    inference(spm,[status(thm)],[c_0_210,c_0_211]) ).

cnf(c_0_229,plain,
    releasedAt(waterLevel(X1),n1),
    inference(spm,[status(thm)],[c_0_212,c_0_112]) ).

cnf(c_0_230,plain,
    ( ~ happens(X1,n1)
    | X1 != overflow
    | epred3_0 ),
    inference(split_equiv,[status(thm)],[c_0_195]) ).

cnf(c_0_231,plain,
    ~ epred3_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_213,c_0_214])]) ).

cnf(c_0_232,plain,
    ( ~ holdsAt(filling,X2)
    | ~ holdsAt(waterLevel(n3),X2)
    | X3 != overflow
    | X1 != spilling
    | holdsAt(X1,plus(X2,n1)) ),
    inference(spm,[status(thm)],[c_0_215,c_0_216]) ).

cnf(c_0_233,hypothesis,
    ( ~ happens(X2,n0)
    | ~ epred1_3(filling,X2,n0)
    | X1 != n1
    | holdsAt(waterLevel(X1),n1) ),
    inference(spm,[status(thm)],[c_0_217,c_0_68]) ).

fof(c_0_234,plain,
    ( ~ epred33_0
  <=> ! [X1] :
        ( X1 != n0
        | ~ holdsAt(waterLevel(n3),X1)
        | ~ holdsAt(filling,X1) ) ),
    introduced(definition) ).

cnf(c_0_235,plain,
    ( ~ happens(X2,X1)
    | X2 != overflow
    | X1 != n0 ),
    inference(sr,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_201]),c_0_218]) ).

cnf(c_0_236,plain,
    ( X1 != overflow
    | epred34_0 ),
    inference(split_equiv,[status(thm)],[c_0_219]) ).

cnf(c_0_237,plain,
    filling != waterLevel(X1),
    inference(split_conjunct,[status(thm)],[c_0_220]) ).

cnf(c_0_238,plain,
    ( ~ epred1_3(X2,X1,X3)
    | holdsAt(X2,X3)
    | X2 = filling
    | X1 = overflow ),
    inference(spm,[status(thm)],[c_0_221,c_0_222]) ).

cnf(c_0_239,plain,
    ( X2 != tapOff
    | X1 != waterLevel(n1)
    | epred1_3(X1,X2,n1) ),
    inference(spm,[status(thm)],[c_0_55,c_0_175]) ).

fof(c_0_240,hypothesis,
    ~ releasedAt(spilling,n0),
    inference(fof_nnf,[status(thm)],[c_0_223]) ).

cnf(c_0_241,plain,
    ( ~ releasedAt(X1,plus(n1,X2))
    | X1 != spilling
    | releasedAt(X1,X2) ),
    inference(spm,[status(thm)],[c_0_224,c_0_95]) ).

cnf(c_0_242,plain,
    ( ~ holdsAt(X1,n1)
    | esk6_2(X1,n0) != overflow
    | holdsAt(X1,n0)
    | releasedAt(X1,n1) ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_225,c_0_211]),c_0_95]),c_0_112]),c_0_95]),c_0_112]),c_0_226]) ).

cnf(c_0_243,plain,
    ( ~ holdsAt(X1,plus(X2,n1))
    | initiates(tapOn,X1,X2)
    | holdsAt(X1,X2)
    | releasedAt(X1,plus(X2,n1))
    | esk6_2(X1,X2) = overflow ),
    inference(spm,[status(thm)],[c_0_227,c_0_228]) ).

fof(c_0_244,hypothesis,
    ~ holdsAt(spilling,n0),
    inference(fof_simplification,[status(thm)],[not_spilling_0]) ).

cnf(c_0_245,plain,
    ( ~ releasedAt(X1,plus(X2,n1))
    | releasedAt(X1,X2)
    | releasedAt(X1,n1) ),
    inference(spm,[status(thm)],[c_0_229,c_0_207]) ).

cnf(c_0_246,plain,
    ( ~ holdsAt(X1,n2)
    | esk6_2(X1,n1) != overflow
    | holdsAt(X1,n1)
    | releasedAt(X1,n2) ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_230,c_0_211]),c_0_138]),c_0_138]),c_0_231]) ).

cnf(c_0_247,plain,
    ( ~ holdsAt(X1,plus(X2,n1))
    | holdsAt(X1,X2)
    | releasedAt(X1,plus(X2,n1))
    | X2 = n0
    | esk6_2(X1,X2) = overflow ),
    inference(spm,[status(thm)],[c_0_88,c_0_211]) ).

cnf(c_0_248,plain,
    ( ~ holdsAt(filling,X2)
    | ~ holdsAt(waterLevel(n3),X2)
    | X1 != spilling
    | holdsAt(X1,plus(X2,n1)) ),
    inference(er,[status(thm)],[c_0_232]) ).

cnf(c_0_249,hypothesis,
    ( ~ epred1_3(filling,tapOn,n0)
    | X1 != n1
    | holdsAt(waterLevel(X1),n1) ),
    inference(spm,[status(thm)],[c_0_233,c_0_161]) ).

cnf(c_0_250,plain,
    ( ~ epred33_0
    | ~ epred34_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(spm,[status(thm)],[c_0_235,c_0_216]),c_0_234]),c_0_219]) ).

cnf(c_0_251,plain,
    epred34_0,
    inference(er,[status(thm)],[c_0_236]) ).

fof(c_0_252,hypothesis,
    ~ releasedAt(filling,n0),
    inference(fof_simplification,[status(thm)],[not_released_filling_0]) ).

cnf(c_0_253,plain,
    ( ~ releasedAt(X1,plus(X2,n1))
    | X1 != filling
    | releasedAt(X1,X2) ),
    inference(spm,[status(thm)],[c_0_237,c_0_207]) ).

cnf(c_0_254,plain,
    ( X1 != tapOff
    | X2 != waterLevel(n1)
    | holdsAt(X2,n1)
    | X1 = overflow ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_238,c_0_239]),c_0_152]) ).

cnf(c_0_255,plain,
    ( ~ less(X1,n2)
    | less_or_equal(X1,n1) ),
    inference(split_conjunct,[status(thm)],[c_0_168]) ).

cnf(c_0_256,hypothesis,
    ~ releasedAt(spilling,n0),
    inference(split_conjunct,[status(thm)],[c_0_240]) ).

cnf(c_0_257,plain,
    ( ~ releasedAt(X1,n1)
    | X1 != spilling
    | releasedAt(X1,n0) ),
    inference(spm,[status(thm)],[c_0_241,c_0_112]) ).

cnf(c_0_258,plain,
    ( ~ initiates(X1,X2,X3)
    | epred1_3(X2,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_60]) ).

cnf(c_0_259,plain,
    ( ~ holdsAt(X1,n1)
    | initiates(tapOn,X1,n0)
    | holdsAt(X1,n0)
    | releasedAt(X1,n1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_242,c_0_243]),c_0_95]),c_0_112]),c_0_95]),c_0_112])]) ).

fof(c_0_260,hypothesis,
    ~ holdsAt(spilling,n0),
    inference(fof_nnf,[status(thm)],[c_0_244]) ).

fof(c_0_261,plain,
    filling != spilling,
    inference(fof_simplification,[status(thm)],[filling_not_spilling]) ).

cnf(c_0_262,plain,
    ( ~ releasedAt(X1,n2)
    | releasedAt(X1,n1) ),
    inference(spm,[status(thm)],[c_0_245,c_0_138]) ).

cnf(c_0_263,plain,
    ( ~ holdsAt(X1,n2)
    | holdsAt(X1,n1)
    | releasedAt(X1,n2)
    | n0 = n1 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_246,c_0_247]),c_0_138]),c_0_138])]) ).

cnf(c_0_264,plain,
    ( ~ holdsAt(filling,n1)
    | ~ holdsAt(waterLevel(n3),n1)
    | X1 != spilling
    | holdsAt(X1,n2) ),
    inference(spm,[status(thm)],[c_0_248,c_0_138]) ).

cnf(c_0_265,plain,
    ( X1 != n1
    | holdsAt(waterLevel(X1),n1) ),
    inference(spm,[status(thm)],[c_0_249,c_0_80]) ).

cnf(c_0_266,plain,
    ( ~ holdsAt(filling,X1)
    | ~ holdsAt(waterLevel(n3),X1)
    | X1 != n0
    | epred33_0 ),
    inference(split_equiv,[status(thm)],[c_0_234]) ).

cnf(c_0_267,plain,
    ~ epred33_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_250,c_0_251])]) ).

cnf(c_0_268,plain,
    plus(n1,n2) = n3,
    inference(split_conjunct,[status(thm)],[plus1_2]) ).

fof(c_0_269,hypothesis,
    ~ releasedAt(filling,n0),
    inference(fof_nnf,[status(thm)],[c_0_252]) ).

cnf(c_0_270,plain,
    ( ~ releasedAt(X1,plus(n1,X2))
    | X1 != filling
    | releasedAt(X1,X2) ),
    inference(spm,[status(thm)],[c_0_253,c_0_95]) ).

fof(c_0_271,hypothesis,
    ~ holdsAt(filling,n0),
    inference(fof_simplification,[status(thm)],[not_filling_0]) ).

cnf(c_0_272,plain,
    ( X1 != waterLevel(n1)
    | holdsAt(X1,n1) ),
    inference(sr,[status(thm)],[inference(er,[status(thm)],[c_0_254]),c_0_72]) ).

cnf(c_0_273,plain,
    ( ~ less(X1,n2)
    | less(X1,n1)
    | X1 = n1 ),
    inference(spm,[status(thm)],[c_0_101,c_0_255]) ).

cnf(c_0_274,plain,
    ( ~ epred1_3(X2,X1,X3)
    | X2 = filling
    | X1 = overflow
    | X1 = tapOff
    | X1 = overflow ),
    inference(split_conjunct,[status(thm)],[c_0_49]) ).

cnf(c_0_275,hypothesis,
    ~ releasedAt(spilling,n1),
    inference(spm,[status(thm)],[c_0_256,c_0_257]) ).

cnf(c_0_276,plain,
    ( ~ holdsAt(X1,n1)
    | holdsAt(X1,n0)
    | releasedAt(X1,n1)
    | epred1_3(X1,tapOn,n0) ),
    inference(spm,[status(thm)],[c_0_258,c_0_259]) ).

cnf(c_0_277,hypothesis,
    ~ holdsAt(spilling,n0),
    inference(split_conjunct,[status(thm)],[c_0_260]) ).

fof(c_0_278,plain,
    filling != spilling,
    inference(fof_nnf,[status(thm)],[c_0_261]) ).

cnf(c_0_279,plain,
    ( ~ holdsAt(X1,n2)
    | holdsAt(X1,n1)
    | releasedAt(X1,n1)
    | n0 = n1 ),
    inference(spm,[status(thm)],[c_0_262,c_0_263]) ).

cnf(c_0_280,plain,
    ( ~ holdsAt(filling,n1)
    | X1 != spilling
    | n3 != n1
    | holdsAt(X1,n2) ),
    inference(spm,[status(thm)],[c_0_264,c_0_265]) ).

cnf(c_0_281,plain,
    ( ~ holdsAt(filling,n1)
    | n3 != n1
    | n0 != n1 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_266,c_0_265]),c_0_267]) ).

cnf(c_0_282,hypothesis,
    ( X1 != n3
    | waterLevel(n2) != waterLevel(n0)
    | trajectory(filling,n0,waterLevel(X1),n1) ),
    inference(spm,[status(thm)],[c_0_116,c_0_268]) ).

cnf(c_0_283,hypothesis,
    ~ releasedAt(filling,n0),
    inference(split_conjunct,[status(thm)],[c_0_269]) ).

cnf(c_0_284,plain,
    ( ~ releasedAt(X1,n1)
    | X1 != filling
    | releasedAt(X1,n0) ),
    inference(spm,[status(thm)],[c_0_270,c_0_112]) ).

fof(c_0_285,hypothesis,
    ~ holdsAt(filling,n0),
    inference(fof_nnf,[status(thm)],[c_0_271]) ).

cnf(c_0_286,plain,
    ( ~ terminates(X1,X5,X2)
    | ~ less(X2,X4)
    | ~ less(X3,X2)
    | ~ happens(X1,X2)
    | stoppedIn(X3,X5,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_104]) ).

cnf(c_0_287,plain,
    ( ~ stoppedIn(X1,X2,X3)
    | terminates(esk1_3(X1,X2,X3),X2,esk2_3(X1,X2,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_104]) ).

cnf(c_0_288,plain,
    ( ~ stoppedIn(X1,X2,X3)
    | happens(esk1_3(X1,X2,X3),esk2_3(X1,X2,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_104]) ).

cnf(c_0_289,plain,
    ( X1 != plus(X3,X2)
    | waterLevel(X3) != waterLevel(n1)
    | trajectory(filling,n1,waterLevel(X1),X2) ),
    inference(spm,[status(thm)],[c_0_81,c_0_272]) ).

cnf(c_0_290,plain,
    ( ~ stoppedIn(X1,X2,X3)
    | ~ less(esk2_3(X1,X2,X3),X1) ),
    inference(spm,[status(thm)],[c_0_186,c_0_131]) ).

cnf(c_0_291,plain,
    ( ~ stoppedIn(X1,X2,n2)
    | less(esk2_3(X1,X2,n2),n1)
    | esk2_3(X1,X2,n2) = n1 ),
    inference(spm,[status(thm)],[c_0_273,c_0_119]) ).

cnf(c_0_292,plain,
    ( ~ less(X2,X1)
    | X1 != X2 ),
    inference(split_conjunct,[status(thm)],[c_0_176]) ).

cnf(c_0_293,plain,
    ( ~ holdsAt(X1,plus(X2,n1))
    | happens(tapOn,X2)
    | holdsAt(X1,X2)
    | releasedAt(X1,plus(X2,n1))
    | esk6_2(X1,X2) = overflow ),
    inference(spm,[status(thm)],[c_0_211,c_0_228]) ).

cnf(c_0_294,plain,
    ( ~ epred1_3(X2,X1,X3)
    | X1 = tapOff
    | X1 = overflow
    | X2 = filling ),
    inference(cn,[status(thm)],[c_0_274]) ).

cnf(c_0_295,hypothesis,
    ( ~ holdsAt(spilling,n1)
    | epred1_3(spilling,tapOn,n0) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_275,c_0_276]),c_0_277]) ).

cnf(c_0_296,plain,
    filling != spilling,
    inference(split_conjunct,[status(thm)],[c_0_278]) ).

cnf(c_0_297,hypothesis,
    ( ~ holdsAt(spilling,n2)
    | holdsAt(spilling,n1)
    | n0 = n1 ),
    inference(spm,[status(thm)],[c_0_275,c_0_279]) ).

cnf(c_0_298,plain,
    ( X1 != spilling
    | n3 != n1
    | holdsAt(X1,n2) ),
    inference(spm,[status(thm)],[c_0_280,c_0_152]) ).

cnf(c_0_299,plain,
    ( n3 != n1
    | n0 != n1 ),
    inference(spm,[status(thm)],[c_0_281,c_0_152]) ).

cnf(c_0_300,hypothesis,
    ( ~ happens(X2,n0)
    | ~ initiates(X2,filling,n0)
    | X1 != n3
    | waterLevel(n2) != waterLevel(n0)
    | holdsAt(waterLevel(X1),n1) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_282]),c_0_95]),c_0_112]),c_0_95]),c_0_112]),c_0_144])]),c_0_145]) ).

cnf(c_0_301,hypothesis,
    ~ releasedAt(filling,n1),
    inference(spm,[status(thm)],[c_0_283,c_0_284]) ).

cnf(c_0_302,hypothesis,
    ~ holdsAt(filling,n0),
    inference(split_conjunct,[status(thm)],[c_0_285]) ).

cnf(c_0_303,plain,
    ( ~ releasedAt(X1,plus(X2,n1))
    | releasedAt(X1,X2)
    | waterLevel(esk9_2(tapOn,X1)) = X1 ),
    inference(spm,[status(thm)],[c_0_207,c_0_108]) ).

cnf(c_0_304,hypothesis,
    ( waterLevel(X1) != waterLevel(n0)
    | trajectory(filling,n0,waterLevel(plus(X1,X2)),X2) ),
    inference(er,[status(thm)],[c_0_100]) ).

cnf(c_0_305,plain,
    ( ~ holdsAt(X1,n1)
    | esk5_2(X1,n1) != overflow
    | holdsAt(X1,n2)
    | releasedAt(X1,n2) ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_230,c_0_123]),c_0_138]),c_0_138]),c_0_231]) ).

cnf(c_0_306,plain,
    ( ~ holdsAt(X1,X2)
    | holdsAt(X1,plus(X2,n1))
    | releasedAt(X1,plus(X2,n1))
    | X2 = n0
    | esk5_2(X1,X2) = overflow ),
    inference(spm,[status(thm)],[c_0_88,c_0_123]) ).

cnf(c_0_307,plain,
    ( ~ stoppedIn(X4,X2,X5)
    | ~ less(esk2_3(X4,X2,X5),X3)
    | ~ less(X1,esk2_3(X4,X2,X5))
    | stoppedIn(X1,X2,X3) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_286,c_0_287]),c_0_288]) ).

cnf(c_0_308,plain,
    ( waterLevel(X1) != waterLevel(n1)
    | trajectory(filling,n1,waterLevel(plus(X1,X2)),X2) ),
    inference(er,[status(thm)],[c_0_289]) ).

cnf(c_0_309,plain,
    ( ~ stoppedIn(n1,X1,n2)
    | esk2_3(n1,X1,n2) = n1 ),
    inference(spm,[status(thm)],[c_0_290,c_0_291]) ).

cnf(c_0_310,plain,
    ~ less(X1,X1),
    inference(er,[status(thm)],[c_0_292]) ).

cnf(c_0_311,plain,
    ( ~ holdsAt(X1,n2)
    | happens(tapOn,n1)
    | holdsAt(X1,n1)
    | releasedAt(X1,n2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_246,c_0_293]),c_0_138]),c_0_138])]) ).

cnf(c_0_312,plain,
    ~ holdsAt(spilling,n1),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_294,c_0_295]),c_0_296]),c_0_109]),c_0_71]) ).

cnf(c_0_313,hypothesis,
    ( n3 != n1
    | holdsAt(spilling,n1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_297,c_0_298]),c_0_299]) ).

cnf(c_0_314,hypothesis,
    ( ~ holdsAt(filling,n1)
    | X1 != n3
    | waterLevel(n2) != waterLevel(n0)
    | holdsAt(waterLevel(X1),n1) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_300,c_0_259]),c_0_161])]),c_0_301]),c_0_302]) ).

cnf(c_0_315,plain,
    ( X2 != n0
    | releasedAt(waterLevel(X1),X2)
    | waterLevel(esk9_2(tapOn,waterLevel(X1))) = waterLevel(X1) ),
    inference(spm,[status(thm)],[c_0_303,c_0_148]) ).

cnf(c_0_316,plain,
    ( ~ holdsAt(waterLevel(X1),n1)
    | X1 = n1 ),
    inference(spm,[status(thm)],[c_0_164,c_0_175]) ).

cnf(c_0_317,plain,
    ( X1 != tapOn
    | waterLevel(esk9_2(X1,waterLevel(X2))) = waterLevel(X2) ),
    inference(spm,[status(thm)],[c_0_190,c_0_106]) ).

cnf(c_0_318,hypothesis,
    ( waterLevel(n0) != waterLevel(n1)
    | trajectory(filling,n0,waterLevel(n2),n1) ),
    inference(spm,[status(thm)],[c_0_304,c_0_138]) ).

cnf(c_0_319,plain,
    ( ~ holdsAt(X1,n1)
    | holdsAt(X1,n2)
    | releasedAt(X1,n2)
    | n0 = n1 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_305,c_0_306]),c_0_138]),c_0_138])]) ).

cnf(c_0_320,plain,
    ( ~ stoppedIn(X1,X2,X4)
    | ~ less(esk2_3(X1,X2,X4),X3)
    | stoppedIn(X1,X2,X3) ),
    inference(spm,[status(thm)],[c_0_307,c_0_131]) ).

cnf(c_0_321,plain,
    ( ~ terminates(X1,X2,X3)
    | X1 = tapOff
    | X1 = overflow ),
    inference(split_conjunct,[status(thm)],[c_0_163]) ).

cnf(c_0_322,plain,
    trajectory(filling,n1,waterLevel(n2),n1),
    inference(spm,[status(thm)],[c_0_308,c_0_138]) ).

cnf(c_0_323,plain,
    ~ stoppedIn(n1,X1,n2),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_309]),c_0_310]) ).

cnf(c_0_324,plain,
    ( ~ holdsAt(X1,n2)
    | happens(tapOn,n1)
    | holdsAt(X1,n1)
    | releasedAt(X1,n1) ),
    inference(spm,[status(thm)],[c_0_262,c_0_311]) ).

cnf(c_0_325,hypothesis,
    n3 != n1,
    inference(spm,[status(thm)],[c_0_312,c_0_313]) ).

cnf(c_0_326,plain,
    ( ~ holdsAt(filling,n1)
    | X1 != spilling
    | waterLevel(n2) != waterLevel(n0)
    | holdsAt(X1,n2) ),
    inference(spm,[status(thm)],[c_0_264,c_0_314]) ).

cnf(c_0_327,plain,
    ( ~ holdsAt(filling,n1)
    | n0 != n1
    | waterLevel(n2) != waterLevel(n0) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_266,c_0_314]),c_0_267]) ).

cnf(c_0_328,plain,
    waterLevel(esk9_2(tapOn,waterLevel(X1))) = waterLevel(X1),
    inference(sr,[status(thm)],[inference(er,[status(thm)],[c_0_315]),c_0_155]) ).

cnf(c_0_329,plain,
    ( ~ holdsAt(waterLevel(X2),n1)
    | X1 != tapOn
    | esk9_2(X1,waterLevel(X2)) = n1 ),
    inference(spm,[status(thm)],[c_0_316,c_0_317]) ).

cnf(c_0_330,hypothesis,
    ( ~ happens(X1,n0)
    | ~ initiates(X1,filling,n0)
    | waterLevel(n0) != waterLevel(n1)
    | holdsAt(waterLevel(n2),n1) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_318]),c_0_95]),c_0_112]),c_0_95]),c_0_112]),c_0_144])]),c_0_145]) ).

cnf(c_0_331,plain,
    ( ~ holdsAt(X2,X1)
    | holdsAt(waterLevel(n3),X1)
    | holdsAt(X2,plus(X1,n1))
    | releasedAt(X2,X1)
    | X1 = n0 ),
    inference(spm,[status(thm)],[c_0_121,c_0_137]) ).

cnf(c_0_332,plain,
    ( ~ holdsAt(X1,n1)
    | holdsAt(X1,n2)
    | releasedAt(X1,n1)
    | n0 = n1 ),
    inference(spm,[status(thm)],[c_0_262,c_0_319]) ).

cnf(c_0_333,plain,
    ( ~ stoppedIn(X1,X2,n2)
    | esk2_3(X1,X2,n2) = n1 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_320,c_0_291]),c_0_145]) ).

cnf(c_0_334,plain,
    ( ~ stoppedIn(X1,X2,X3)
    | esk1_3(X1,X2,X3) = tapOn
    | esk1_3(X1,X2,X3) = overflow ),
    inference(spm,[status(thm)],[c_0_210,c_0_288]) ).

cnf(c_0_335,plain,
    ( ~ stoppedIn(X1,X2,X3)
    | esk1_3(X1,X2,X3) = overflow
    | esk1_3(X1,X2,X3) = tapOff ),
    inference(spm,[status(thm)],[c_0_321,c_0_287]) ).

cnf(c_0_336,plain,
    ( ~ happens(X1,n1)
    | ~ initiates(X1,filling,n1)
    | holdsAt(waterLevel(n2),n2) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_322]),c_0_138]),c_0_138]),c_0_144])]),c_0_323]) ).

cnf(c_0_337,hypothesis,
    ( ~ holdsAt(filling,n2)
    | happens(tapOn,n1)
    | holdsAt(filling,n1) ),
    inference(spm,[status(thm)],[c_0_301,c_0_324]) ).

cnf(c_0_338,plain,
    holdsAt(filling,n2),
    inference(sr,[status(thm)],[c_0_185,c_0_325]) ).

cnf(c_0_339,plain,
    ( ~ holdsAt(waterLevel(X1),X4)
    | ~ holdsAt(waterLevel(X3),X4)
    | X2 != tapOn
    | X1 = esk9_2(X2,waterLevel(X3)) ),
    inference(spm,[status(thm)],[c_0_164,c_0_317]) ).

cnf(c_0_340,plain,
    ( X1 != spilling
    | waterLevel(n2) != waterLevel(n0)
    | holdsAt(X1,n2) ),
    inference(spm,[status(thm)],[c_0_326,c_0_152]) ).

cnf(c_0_341,plain,
    ( n0 != n1
    | waterLevel(n2) != waterLevel(n0) ),
    inference(spm,[status(thm)],[c_0_327,c_0_152]) ).

cnf(c_0_342,plain,
    ( ~ holdsAt(waterLevel(X1),n1)
    | waterLevel(n1) = waterLevel(X1) ),
    inference(spm,[status(thm)],[c_0_328,c_0_329]) ).

cnf(c_0_343,hypothesis,
    ( ~ holdsAt(filling,n1)
    | waterLevel(n0) != waterLevel(n1)
    | holdsAt(waterLevel(n2),n1) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_330,c_0_259]),c_0_161])]),c_0_301]),c_0_302]) ).

cnf(c_0_344,plain,
    ( ~ holdsAt(X1,n2)
    | holdsAt(X1,n3)
    | holdsAt(waterLevel(n3),n2)
    | releasedAt(X1,n1)
    | n2 = n0 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_262,c_0_331]),c_0_95]),c_0_268]) ).

cnf(c_0_345,plain,
    ( X1 != filling
    | holdsAt(X1,n2) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_332]),c_0_151]),c_0_152]),c_0_153]) ).

cnf(c_0_346,plain,
    ( X1 != filling
    | n2 != n0
    | holdsAt(X1,n3) ),
    inference(spm,[status(thm)],[c_0_141,c_0_268]) ).

cnf(c_0_347,plain,
    plus(n0,n2) = n2,
    inference(split_conjunct,[status(thm)],[plus0_2]) ).

cnf(c_0_348,plain,
    ( ~ stoppedIn(X1,X2,n2)
    | happens(esk1_3(X1,X2,n2),n1) ),
    inference(spm,[status(thm)],[c_0_288,c_0_333]) ).

cnf(c_0_349,plain,
    ( ~ stoppedIn(X1,X2,X3)
    | esk1_3(X1,X2,X3) = overflow ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_334,c_0_335]),c_0_72]),c_0_71]) ).

cnf(c_0_350,plain,
    ( ~ happens(X1,n1)
    | ~ epred1_3(filling,X1,n1)
    | holdsAt(waterLevel(n2),n2) ),
    inference(spm,[status(thm)],[c_0_336,c_0_68]) ).

cnf(c_0_351,hypothesis,
    ( happens(tapOn,n1)
    | holdsAt(filling,n1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_337,c_0_338])]) ).

cnf(c_0_352,plain,
    ( ~ releasedAt(X1,plus(n1,X2))
    | releasedAt(X1,X2)
    | waterLevel(esk9_2(tapOn,X1)) = X1 ),
    inference(spm,[status(thm)],[c_0_303,c_0_95]) ).

cnf(c_0_353,hypothesis,
    ( ~ holdsAt(waterLevel(X1),n0)
    | X2 != tapOn
    | X1 = esk9_2(X2,waterLevel(n0)) ),
    inference(spm,[status(thm)],[c_0_339,c_0_56]) ).

cnf(c_0_354,hypothesis,
    ( waterLevel(n2) != waterLevel(n0)
    | holdsAt(spilling,n1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_297,c_0_340]),c_0_341]) ).

cnf(c_0_355,plain,
    ( ~ holdsAt(filling,n1)
    | waterLevel(n0) != waterLevel(n1)
    | waterLevel(n2) = waterLevel(n1) ),
    inference(spm,[status(thm)],[c_0_342,c_0_343]) ).

cnf(c_0_356,plain,
    ( X1 != filling
    | holdsAt(X1,n3)
    | holdsAt(waterLevel(n3),n2) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_344]),c_0_151]),c_0_345]),c_0_346]) ).

cnf(c_0_357,hypothesis,
    trajectory(filling,n0,waterLevel(n2),n2),
    inference(spm,[status(thm)],[c_0_304,c_0_347]) ).

cnf(c_0_358,plain,
    ~ stoppedIn(X1,X2,n2),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_230,c_0_348]),c_0_231]),c_0_349]) ).

cnf(c_0_359,plain,
    ( ~ epred1_3(filling,tapOn,n1)
    | holdsAt(filling,n1)
    | holdsAt(waterLevel(n2),n2) ),
    inference(spm,[status(thm)],[c_0_350,c_0_351]) ).

cnf(c_0_360,plain,
    ( ~ releasedAt(X1,n1)
    | releasedAt(X1,n0)
    | waterLevel(esk9_2(tapOn,X1)) = X1 ),
    inference(spm,[status(thm)],[c_0_352,c_0_112]) ).

cnf(c_0_361,hypothesis,
    ( ~ holdsAt(waterLevel(X2),n0)
    | X1 != tapOn
    | X3 != tapOn
    | esk9_2(X1,waterLevel(X2)) = esk9_2(X3,waterLevel(n0)) ),
    inference(spm,[status(thm)],[c_0_353,c_0_317]) ).

cnf(c_0_362,hypothesis,
    waterLevel(n2) != waterLevel(n0),
    inference(spm,[status(thm)],[c_0_312,c_0_354]) ).

cnf(c_0_363,plain,
    ( waterLevel(n0) != waterLevel(n1)
    | waterLevel(n2) = waterLevel(n1) ),
    inference(spm,[status(thm)],[c_0_355,c_0_152]) ).

fof(c_0_364,plain,
    ! [X108] :
      ( ( less(X108,n9)
        | ~ less_or_equal(X108,n8) )
      & ( less_or_equal(X108,n8)
        | ~ less(X108,n9) ) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[less9])])]) ).

fof(c_0_365,plain,
    ! [X24,X25,X26,X29,X30,X31,X32,X33] :
      ( ( startedIn(X29,X31,X30)
        | ~ initiates(X32,X31,X33)
        | ~ less(X33,X30)
        | ~ less(X29,X33)
        | ~ happens(X32,X33) )
      & ( ~ startedIn(X24,X26,X25)
        | initiates(esk3_3(X24,X25,X26),X26,esk4_3(X24,X25,X26)) )
      & ( ~ startedIn(X24,X26,X25)
        | less(esk4_3(X24,X25,X26),X25) )
      & ( ~ startedIn(X24,X26,X25)
        | less(X24,esk4_3(X24,X25,X26)) )
      & ( ~ startedIn(X24,X26,X25)
        | happens(esk3_3(X24,X25,X26),esk4_3(X24,X25,X26)) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[startedin_defn])])])])])])]) ).

cnf(c_0_366,plain,
    ( holdsAt(filling,n3)
    | holdsAt(waterLevel(n3),n2) ),
    inference(er,[status(thm)],[c_0_356]) ).

cnf(c_0_367,hypothesis,
    ( ~ happens(X1,n0)
    | ~ less(n0,n2)
    | ~ initiates(X1,filling,n0)
    | holdsAt(waterLevel(n2),n2) ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_357]),c_0_347]),c_0_347]),c_0_358]) ).

cnf(c_0_368,plain,
    ( holdsAt(filling,n1)
    | holdsAt(waterLevel(n2),n2) ),
    inference(spm,[status(thm)],[c_0_359,c_0_80]) ).

cnf(c_0_369,hypothesis,
    ( ~ holdsAt(waterLevel(X2),n0)
    | X1 != tapOn
    | waterLevel(esk9_2(X1,waterLevel(X2))) = waterLevel(n0) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_360,c_0_361]),c_0_229])]),c_0_155]) ).

cnf(c_0_370,plain,
    ( ~ holdsAt(X1,n1)
    | ~ releasedAt(X1,n1)
    | releasedAt(X1,n0)
    | esk9_2(tapOn,X1) = n1 ),
    inference(spm,[status(thm)],[c_0_316,c_0_360]) ).

cnf(c_0_371,hypothesis,
    waterLevel(n0) != waterLevel(n1),
    inference(spm,[status(thm)],[c_0_362,c_0_363]) ).

cnf(c_0_372,plain,
    ( ~ less_or_equal(X1,n8)
    | less(X1,n9) ),
    inference(split_conjunct,[status(thm)],[c_0_364]) ).

fof(c_0_373,plain,
    ! [X107] :
      ( ( less(X107,n8)
        | ~ less_or_equal(X107,n7) )
      & ( less_or_equal(X107,n7)
        | ~ less(X107,n8) ) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[less8])])]) ).

cnf(c_0_374,plain,
    ( ~ startedIn(X1,X3,X2)
    | initiates(esk3_3(X1,X2,X3),X3,esk4_3(X1,X2,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_365]) ).

cnf(c_0_375,plain,
    ( ~ startedIn(X1,X3,X2)
    | happens(esk3_3(X1,X2,X3),esk4_3(X1,X2,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_365]) ).

fof(c_0_376,plain,
    ! [X105] :
      ( ( less(X105,n6)
        | ~ less_or_equal(X105,n5) )
      & ( less_or_equal(X105,n5)
        | ~ less(X105,n6) ) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[less6])])]) ).

fof(c_0_377,plain,
    ( ~ epred9_0
  <=> ! [X2] :
        ( X2 != overflow
        | ~ happens(X2,n2) ) ),
    introduced(definition) ).

cnf(c_0_378,plain,
    ( ~ holdsAt(waterLevel(X1),n2)
    | holdsAt(filling,n3)
    | X1 = n3 ),
    inference(spm,[status(thm)],[c_0_164,c_0_366]) ).

cnf(c_0_379,hypothesis,
    ( ~ less(n0,n2)
    | holdsAt(waterLevel(n2),n2) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_367,c_0_259]),c_0_161])]),c_0_301]),c_0_302]),c_0_368]) ).

cnf(c_0_380,plain,
    ( ~ less(X1,X2)
    | less_or_equal(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_83]) ).

cnf(c_0_381,hypothesis,
    ( ~ holdsAt(waterLevel(X1),n1)
    | ~ holdsAt(waterLevel(X1),n0) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_369,c_0_370]),c_0_229])]),c_0_371]),c_0_155]) ).

cnf(c_0_382,plain,
    less(n8,n9),
    inference(spm,[status(thm)],[c_0_372,c_0_130]) ).

cnf(c_0_383,plain,
    ( ~ less_or_equal(X1,n7)
    | less(X1,n8) ),
    inference(split_conjunct,[status(thm)],[c_0_373]) ).

fof(c_0_384,plain,
    ! [X106] :
      ( ( less(X106,n7)
        | ~ less_or_equal(X106,n6) )
      & ( less_or_equal(X106,n6)
        | ~ less(X106,n7) ) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[less7])])]) ).

fof(c_0_385,plain,
    ! [X104] :
      ( ( less(X104,n5)
        | ~ less_or_equal(X104,n4) )
      & ( less_or_equal(X104,n4)
        | ~ less(X104,n5) ) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[less5])])]) ).

cnf(c_0_386,plain,
    ( ~ startedIn(X2,X1,X3)
    | holdsAt(X1,plus(n1,esk4_3(X2,X3,X1))) ),
    inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_374]),c_0_95]),c_0_375]) ).

cnf(c_0_387,plain,
    ( ~ startedIn(X1,X3,X2)
    | esk4_3(X1,X2,X3) = n0
    | esk3_3(X1,X2,X3) = overflow ),
    inference(spm,[status(thm)],[c_0_88,c_0_375]) ).

cnf(c_0_388,plain,
    ( ~ less_or_equal(X1,n5)
    | less(X1,n6) ),
    inference(split_conjunct,[status(thm)],[c_0_376]) ).

cnf(c_0_389,plain,
    ( ~ holdsAt(X1,n2)
    | initiates(tapOn,X1,n1)
    | holdsAt(X1,n1)
    | releasedAt(X1,n2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_246,c_0_243]),c_0_138]),c_0_138])]) ).

cnf(c_0_390,plain,
    ( ~ happens(X1,n2)
    | X1 != overflow
    | epred9_0 ),
    inference(split_equiv,[status(thm)],[c_0_377]) ).

fof(c_0_391,plain,
    ( ~ epred25_0
  <=> ! [X1] :
        ( X1 != filling
        | ~ holdsAt(X1,n3) ) ),
    introduced(definition) ).

cnf(c_0_392,hypothesis,
    ( ~ less(n0,n2)
    | holdsAt(filling,n3)
    | n2 = n3 ),
    inference(spm,[status(thm)],[c_0_378,c_0_379]) ).

cnf(c_0_393,plain,
    ( ~ less(X1,n1)
    | less(X1,n2) ),
    inference(spm,[status(thm)],[c_0_177,c_0_380]) ).

cnf(c_0_394,hypothesis,
    ( X1 != n2
    | trajectory(filling,n0,waterLevel(X1),n2) ),
    inference(spm,[status(thm)],[c_0_100,c_0_347]) ).

cnf(c_0_395,hypothesis,
    ( ~ holdsAt(filling,n2)
    | holdsAt(filling,n1)
    | n0 = n1 ),
    inference(spm,[status(thm)],[c_0_301,c_0_279]) ).

cnf(c_0_396,hypothesis,
    ~ holdsAt(waterLevel(n0),n1),
    inference(spm,[status(thm)],[c_0_381,c_0_56]) ).

cnf(c_0_397,plain,
    ~ less(n9,n8),
    inference(spm,[status(thm)],[c_0_186,c_0_382]) ).

cnf(c_0_398,plain,
    ( ~ less(X1,n7)
    | less(X1,n8) ),
    inference(spm,[status(thm)],[c_0_383,c_0_380]) ).

cnf(c_0_399,plain,
    ( ~ less_or_equal(X1,n6)
    | less(X1,n7) ),
    inference(split_conjunct,[status(thm)],[c_0_384]) ).

cnf(c_0_400,plain,
    ( ~ less_or_equal(X1,n4)
    | less(X1,n5) ),
    inference(split_conjunct,[status(thm)],[c_0_385]) ).

cnf(c_0_401,plain,
    ( ~ happens(X2,esk4_3(X3,X4,X1))
    | ~ startedIn(X3,X1,X4)
    | X2 != overflow
    | X1 != filling ),
    inference(spm,[status(thm)],[c_0_192,c_0_386]) ).

cnf(c_0_402,plain,
    ( ~ startedIn(X1,X3,X2)
    | happens(overflow,esk4_3(X1,X2,X3))
    | esk4_3(X1,X2,X3) = n0 ),
    inference(spm,[status(thm)],[c_0_375,c_0_387]) ).

cnf(c_0_403,plain,
    less(n5,n6),
    inference(spm,[status(thm)],[c_0_388,c_0_130]) ).

fof(c_0_404,plain,
    ! [X103] :
      ( ( less(X103,n4)
        | ~ less_or_equal(X103,n3) )
      & ( less_or_equal(X103,n3)
        | ~ less(X103,n4) ) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[less4])])]) ).

cnf(c_0_405,plain,
    ( ~ holdsAt(X1,n2)
    | holdsAt(X1,n1)
    | releasedAt(X1,n2)
    | epred1_3(X1,tapOn,n1) ),
    inference(spm,[status(thm)],[c_0_258,c_0_389]) ).

cnf(c_0_406,plain,
    ( ~ releasedAt(X1,plus(n1,X2))
    | releasedAt(X1,X2)
    | releasedAt(X1,n1) ),
    inference(spm,[status(thm)],[c_0_245,c_0_95]) ).

cnf(c_0_407,plain,
    ( ~ holdsAt(X1,n3)
    | esk6_2(X1,n2) != overflow
    | holdsAt(X1,n2)
    | releasedAt(X1,n3)
    | epred9_0 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_390,c_0_211]),c_0_95]),c_0_268]),c_0_95]),c_0_268]) ).

cnf(c_0_408,plain,
    ( ~ holdsAt(X1,n3)
    | X1 != filling
    | epred25_0 ),
    inference(split_equiv,[status(thm)],[c_0_391]) ).

cnf(c_0_409,hypothesis,
    ( holdsAt(filling,n3)
    | n2 = n3 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_392,c_0_393]),c_0_144])]) ).

cnf(c_0_410,plain,
    ( ~ holdsAt(filling,X2)
    | ~ holdsAt(waterLevel(n3),X2)
    | X1 != spilling
    | holdsAt(X1,plus(n1,X2)) ),
    inference(spm,[status(thm)],[c_0_248,c_0_95]) ).

cnf(c_0_411,hypothesis,
    ( ~ happens(X2,n0)
    | ~ less(n0,n2)
    | ~ initiates(X2,filling,n0)
    | X1 != n2
    | holdsAt(waterLevel(X1),n2) ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_394]),c_0_347]),c_0_347]),c_0_358]) ).

cnf(c_0_412,hypothesis,
    ( holdsAt(filling,n1)
    | n0 = n1 ),
    inference(spm,[status(thm)],[c_0_395,c_0_345]) ).

cnf(c_0_413,plain,
    n0 != n1,
    inference(spm,[status(thm)],[c_0_396,c_0_265]) ).

cnf(c_0_414,plain,
    ~ less(n9,n7),
    inference(spm,[status(thm)],[c_0_397,c_0_398]) ).

cnf(c_0_415,plain,
    ( ~ less(X1,n6)
    | less(X1,n7) ),
    inference(spm,[status(thm)],[c_0_399,c_0_380]) ).

cnf(c_0_416,plain,
    ( ~ less(X1,n5)
    | less(X1,n6) ),
    inference(spm,[status(thm)],[c_0_388,c_0_380]) ).

cnf(c_0_417,plain,
    ( ~ less(X1,n4)
    | less(X1,n5) ),
    inference(spm,[status(thm)],[c_0_400,c_0_380]) ).

cnf(c_0_418,plain,
    ( ~ initiates(X1,X5,X2)
    | ~ less(X2,X4)
    | ~ less(X3,X2)
    | ~ happens(X1,X2)
    | startedIn(X3,X5,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_365]) ).

cnf(c_0_419,plain,
    ( ~ startedIn(X1,X3,X2)
    | less(X1,esk4_3(X1,X2,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_365]) ).

cnf(c_0_420,plain,
    ( ~ startedIn(X1,X3,X2)
    | X3 != filling
    | esk4_3(X1,X2,X3) = n0 ),
    inference(spm,[status(thm)],[c_0_401,c_0_402]) ).

cnf(c_0_421,plain,
    ~ less(n6,n5),
    inference(spm,[status(thm)],[c_0_186,c_0_403]) ).

cnf(c_0_422,plain,
    ( ~ less_or_equal(X1,n3)
    | less(X1,n4) ),
    inference(split_conjunct,[status(thm)],[c_0_404]) ).

cnf(c_0_423,plain,
    ( ~ holdsAt(X1,n2)
    | holdsAt(X1,n1)
    | releasedAt(X1,n1)
    | epred1_3(X1,tapOn,n1) ),
    inference(spm,[status(thm)],[c_0_262,c_0_405]) ).

cnf(c_0_424,plain,
    ( ~ releasedAt(X1,n3)
    | releasedAt(X1,n1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_406,c_0_268]),c_0_262]) ).

cnf(c_0_425,plain,
    ( ~ holdsAt(X1,n3)
    | holdsAt(X1,n2)
    | releasedAt(X1,n3)
    | epred9_0
    | n2 = n0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_407,c_0_247]),c_0_95]),c_0_268]),c_0_95]),c_0_268])]) ).

cnf(c_0_426,hypothesis,
    ( epred25_0
    | n2 = n3 ),
    inference(spm,[status(thm)],[c_0_408,c_0_409]) ).

cnf(c_0_427,plain,
    ( ~ holdsAt(filling,n2)
    | ~ holdsAt(waterLevel(n3),n2)
    | X1 != spilling
    | holdsAt(X1,n3) ),
    inference(spm,[status(thm)],[c_0_410,c_0_268]) ).

cnf(c_0_428,hypothesis,
    ( ~ less(n0,n2)
    | ~ holdsAt(filling,n1)
    | X1 != n2
    | holdsAt(waterLevel(X1),n2) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_411,c_0_259]),c_0_161])]),c_0_301]),c_0_302]) ).

cnf(c_0_429,hypothesis,
    holdsAt(filling,n1),
    inference(sr,[status(thm)],[c_0_412,c_0_413]) ).

cnf(c_0_430,plain,
    ~ less(n9,n6),
    inference(spm,[status(thm)],[c_0_414,c_0_415]) ).

cnf(c_0_431,plain,
    ( ~ less(X1,n4)
    | less(X1,n6) ),
    inference(spm,[status(thm)],[c_0_416,c_0_417]) ).

fof(c_0_432,plain,
    ( ~ epred52_0
  <=> ! [X1,X3,X5,X4] :
        ( X4 != tapOn
        | ~ less(X1,X5)
        | ~ less(X5,X3)
        | ~ happens(X4,X5) ) ),
    introduced(definition) ).

cnf(c_0_433,plain,
    ( ~ happens(X4,X5)
    | ~ less(X5,X3)
    | ~ less(X1,X5)
    | ~ epred1_3(X2,X4,X5)
    | startedIn(X1,X2,X3) ),
    inference(spm,[status(thm)],[c_0_418,c_0_68]) ).

cnf(c_0_434,plain,
    ( ~ startedIn(X2,X1,X3)
    | X1 != filling ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_419,c_0_420]),c_0_103]) ).

cnf(c_0_435,plain,
    ~ less(n6,n4),
    inference(spm,[status(thm)],[c_0_421,c_0_417]) ).

cnf(c_0_436,plain,
    ( ~ less(X1,n3)
    | less(X1,n4) ),
    inference(spm,[status(thm)],[c_0_422,c_0_380]) ).

cnf(c_0_437,hypothesis,
    ( ~ holdsAt(spilling,n2)
    | epred1_3(spilling,tapOn,n1) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_275,c_0_423]),c_0_312]) ).

cnf(c_0_438,plain,
    ( ~ holdsAt(X1,n3)
    | holdsAt(X1,n2)
    | releasedAt(X1,n1)
    | epred9_0
    | n2 = n0 ),
    inference(spm,[status(thm)],[c_0_424,c_0_425]) ).

cnf(c_0_439,plain,
    ( ~ epred9_0
    | ~ epred25_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_268]),c_0_391]),c_0_377]) ).

cnf(c_0_440,hypothesis,
    epred25_0,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_196,c_0_426]),c_0_310]) ).

cnf(c_0_441,plain,
    ( ~ holdsAt(waterLevel(n3),n2)
    | X1 != spilling
    | holdsAt(X1,n3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_427,c_0_338])]) ).

cnf(c_0_442,hypothesis,
    ( ~ less(n0,n2)
    | X1 != n2
    | holdsAt(waterLevel(X1),n2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_428,c_0_429])]) ).

cnf(c_0_443,plain,
    ~ less(n9,n4),
    inference(spm,[status(thm)],[c_0_430,c_0_431]) ).

cnf(c_0_444,plain,
    ( ~ less(X1,n2)
    | less(X1,n3) ),
    inference(spm,[status(thm)],[c_0_183,c_0_380]) ).

cnf(c_0_445,plain,
    ( less(X2,X1)
    | X1 = X2
    | less(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_176]) ).

cnf(c_0_446,plain,
    ~ epred52_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_433,c_0_80]),c_0_434]),c_0_178]),c_0_432]),c_0_202])]) ).

cnf(c_0_447,plain,
    ~ less(n6,n3),
    inference(spm,[status(thm)],[c_0_435,c_0_436]) ).

cnf(c_0_448,plain,
    ~ holdsAt(spilling,n2),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_294,c_0_437]),c_0_296]),c_0_109]),c_0_71]) ).

cnf(c_0_449,hypothesis,
    ( ~ holdsAt(spilling,n3)
    | holdsAt(spilling,n2)
    | epred9_0
    | n2 = n0 ),
    inference(spm,[status(thm)],[c_0_275,c_0_438]) ).

cnf(c_0_450,plain,
    ~ epred9_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_439,c_0_440])]) ).

cnf(c_0_451,plain,
    ( ~ less(n0,n2)
    | X1 != spilling
    | n2 != n3
    | holdsAt(X1,n3) ),
    inference(spm,[status(thm)],[c_0_441,c_0_442]) ).

cnf(c_0_452,plain,
    ( ~ less(n0,n2)
    | n2 != n3
    | n2 != n0 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_266,c_0_442]),c_0_338])]),c_0_267]) ).

cnf(c_0_453,plain,
    ~ less(n9,n3),
    inference(spm,[status(thm)],[c_0_443,c_0_436]) ).

cnf(c_0_454,plain,
    ( less(X1,n3)
    | less(n2,X1)
    | n2 = X1 ),
    inference(spm,[status(thm)],[c_0_444,c_0_445]) ).

cnf(c_0_455,plain,
    ( ~ holdsAt(X1,n2)
    | esk5_2(X1,n2) != overflow
    | holdsAt(X1,n3)
    | releasedAt(X1,n3)
    | epred9_0 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_390,c_0_123]),c_0_95]),c_0_268]),c_0_95]),c_0_268]) ).

cnf(c_0_456,plain,
    ( ~ happens(X1,X2)
    | ~ less(X4,X2)
    | ~ less(X2,X3)
    | X1 != tapOn ),
    inference(sr,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_432]),c_0_446]) ).

cnf(c_0_457,plain,
    ( less(n3,n6)
    | n6 = n3 ),
    inference(spm,[status(thm)],[c_0_447,c_0_445]) ).

cnf(c_0_458,hypothesis,
    ( ~ holdsAt(spilling,n3)
    | n2 = n0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_448,c_0_449]),c_0_450]) ).

cnf(c_0_459,plain,
    ( X1 != spilling
    | n2 != n3
    | holdsAt(X1,n3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_451,c_0_393]),c_0_144])]) ).

cnf(c_0_460,plain,
    ( n2 != n3
    | n2 != n0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_452,c_0_393]),c_0_144])]) ).

cnf(c_0_461,plain,
    ( less(n2,n9)
    | n9 = n2 ),
    inference(spm,[status(thm)],[c_0_453,c_0_454]) ).

cnf(c_0_462,plain,
    plus(n1,n3) = n4,
    inference(split_conjunct,[status(thm)],[plus1_3]) ).

cnf(c_0_463,plain,
    ( ~ holdsAt(X1,n2)
    | holdsAt(X1,n3)
    | releasedAt(X1,n3)
    | epred9_0
    | n2 = n0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_455,c_0_306]),c_0_95]),c_0_268]),c_0_95]),c_0_268])]) ).

cnf(c_0_464,plain,
    ( ~ less(X1,n4)
    | less_or_equal(X1,n3) ),
    inference(split_conjunct,[status(thm)],[c_0_404]) ).

cnf(c_0_465,plain,
    ( ~ less(X1,n3)
    | less_or_equal(X1,n2) ),
    inference(split_conjunct,[status(thm)],[c_0_172]) ).

cnf(c_0_466,plain,
    ( ~ happens(X1,n3)
    | ~ less(X2,n3)
    | X1 != tapOn
    | n6 = n3 ),
    inference(spm,[status(thm)],[c_0_456,c_0_457]) ).

cnf(c_0_467,hypothesis,
    n2 != n3,
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_458,c_0_459]),c_0_460]) ).

cnf(c_0_468,plain,
    ( ~ happens(X1,n2)
    | ~ less(X2,n2)
    | X1 != tapOn
    | n9 = n2 ),
    inference(spm,[status(thm)],[c_0_456,c_0_461]) ).

cnf(c_0_469,plain,
    ( ~ holdsAt(X1,n3)
    | holdsAt(X1,n4)
    | holdsAt(waterLevel(n3),n3)
    | releasedAt(X1,n1)
    | n3 = n0 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_424,c_0_331]),c_0_95]),c_0_462]) ).

cnf(c_0_470,plain,
    ( X1 != filling
    | n3 != n0
    | holdsAt(X1,n4) ),
    inference(spm,[status(thm)],[c_0_141,c_0_462]) ).

cnf(c_0_471,plain,
    ( ~ holdsAt(X1,n2)
    | holdsAt(X1,n3)
    | releasedAt(X1,n1)
    | epred9_0
    | n2 = n0 ),
    inference(spm,[status(thm)],[c_0_424,c_0_463]) ).

cnf(c_0_472,plain,
    ( ~ less(X1,n4)
    | less(X1,n3)
    | X1 = n3 ),
    inference(spm,[status(thm)],[c_0_101,c_0_464]) ).

cnf(c_0_473,plain,
    ( ~ less(X1,n3)
    | less(X1,n2)
    | X1 = n2 ),
    inference(spm,[status(thm)],[c_0_101,c_0_465]) ).

cnf(c_0_474,plain,
    ( ~ happens(X1,n3)
    | X1 != tapOn
    | n6 = n3 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_466,c_0_454]),c_0_467]),c_0_310]) ).

cnf(c_0_475,plain,
    less(n4,n5),
    inference(spm,[status(thm)],[c_0_400,c_0_130]) ).

cnf(c_0_476,plain,
    ( ~ holdsAt(filling,n2)
    | ~ holdsAt(waterLevel(n3),n2)
    | X1 != overflow
    | epred9_0 ),
    inference(spm,[status(thm)],[c_0_390,c_0_216]) ).

cnf(c_0_477,plain,
    ( ~ terminates(X2,X1,X3)
    | X1 = filling
    | X1 = filling ),
    inference(split_conjunct,[status(thm)],[c_0_163]) ).

cnf(c_0_478,plain,
    ( ~ happens(X1,n2)
    | X1 != tapOn
    | n9 = n2 ),
    inference(spm,[status(thm)],[c_0_468,c_0_187]) ).

cnf(c_0_479,plain,
    ( ~ holdsAt(X1,n3)
    | X1 != filling
    | holdsAt(X1,n4)
    | holdsAt(waterLevel(n3),n3) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_469]),c_0_151]),c_0_470]) ).

cnf(c_0_480,plain,
    ( X1 != filling
    | holdsAt(X1,n3)
    | epred9_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_471]),c_0_151]),c_0_345]),c_0_346]) ).

cnf(c_0_481,plain,
    ( ~ stoppedIn(X1,X2,n4)
    | less(esk2_3(X1,X2,n4),n3)
    | esk2_3(X1,X2,n4) = n3 ),
    inference(spm,[status(thm)],[c_0_472,c_0_119]) ).

cnf(c_0_482,plain,
    ( ~ holdsAt(X1,X2)
    | holdsAt(X1,plus(X2,n1))
    | releasedAt(X1,plus(X2,n1))
    | terminates(esk5_2(X1,X2),X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_110]) ).

cnf(c_0_483,plain,
    ( ~ stoppedIn(n2,X1,X2)
    | ~ less(esk2_3(n2,X1,X2),n3)
    | esk2_3(n2,X1,X2) = n2 ),
    inference(spm,[status(thm)],[c_0_290,c_0_473]) ).

cnf(c_0_484,plain,
    ( less(X1,n1)
    | less(n2,X1)
    | X1 = n1
    | n2 = X1 ),
    inference(spm,[status(thm)],[c_0_273,c_0_445]) ).

cnf(c_0_485,plain,
    ( X1 != tapOn
    | n3 != n0
    | n6 = n3 ),
    inference(spm,[status(thm)],[c_0_474,c_0_99]) ).

cnf(c_0_486,plain,
    ~ less(n5,n4),
    inference(spm,[status(thm)],[c_0_186,c_0_475]) ).

cnf(c_0_487,plain,
    ( ~ holdsAt(filling,n2)
    | X1 != overflow
    | holdsAt(filling,n3)
    | epred9_0 ),
    inference(spm,[status(thm)],[c_0_476,c_0_366]) ).

cnf(c_0_488,plain,
    ( ~ terminates(X2,X1,X3)
    | X1 = filling ),
    inference(cn,[status(thm)],[c_0_477]) ).

cnf(c_0_489,plain,
    ( X1 != tapOn
    | n2 != n0
    | n9 = n2 ),
    inference(spm,[status(thm)],[c_0_478,c_0_99]) ).

cnf(c_0_490,plain,
    ( X1 != filling
    | holdsAt(X1,n4)
    | holdsAt(waterLevel(n3),n3)
    | epred9_0 ),
    inference(spm,[status(thm)],[c_0_479,c_0_480]) ).

cnf(c_0_491,plain,
    ( ~ stoppedIn(X1,X2,X3)
    | happens(overflow,esk2_3(X1,X2,X3)) ),
    inference(spm,[status(thm)],[c_0_288,c_0_349]) ).

cnf(c_0_492,plain,
    ( ~ stoppedIn(X1,X2,n4)
    | stoppedIn(X1,X2,n3)
    | esk2_3(X1,X2,n4) = n3 ),
    inference(spm,[status(thm)],[c_0_320,c_0_481]) ).

cnf(c_0_493,plain,
    ( ~ less(X2,X4)
    | ~ less(X3,X2)
    | ~ holdsAt(X1,X2)
    | stoppedIn(X3,X1,X4)
    | holdsAt(X1,plus(X2,n1))
    | releasedAt(X1,plus(X2,n1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_286,c_0_482]),c_0_123]) ).

cnf(c_0_494,plain,
    ( ~ stoppedIn(n2,X1,n3)
    | esk2_3(n2,X1,n3) = n2 ),
    inference(spm,[status(thm)],[c_0_483,c_0_119]) ).

cnf(c_0_495,plain,
    ( ~ happens(X4,X5)
    | ~ less(X5,X3)
    | ~ less(X1,X5)
    | X4 != overflow
    | X2 != filling
    | stoppedIn(X1,X2,X3) ),
    inference(spm,[status(thm)],[c_0_286,c_0_170]) ).

cnf(c_0_496,plain,
    ( less(n2,X1)
    | X1 = n0
    | n2 = X1
    | X1 = n1 ),
    inference(spm,[status(thm)],[c_0_118,c_0_484]) ).

cnf(c_0_497,plain,
    ( n3 != n0
    | n6 = n3 ),
    inference(er,[status(thm)],[c_0_485]) ).

cnf(c_0_498,plain,
    ~ less(n5,n3),
    inference(spm,[status(thm)],[c_0_486,c_0_436]) ).

cnf(c_0_499,plain,
    ( X1 != overflow
    | holdsAt(filling,n3)
    | epred9_0 ),
    inference(spm,[status(thm)],[c_0_487,c_0_345]) ).

cnf(c_0_500,plain,
    ( ~ less(X1,n3)
    | ~ less(n2,X1)
    | X1 = n2 ),
    inference(spm,[status(thm)],[c_0_186,c_0_473]) ).

cnf(c_0_501,plain,
    ( ~ stoppedIn(X2,X1,X3)
    | ~ holdsAt(X1,plus(n1,esk2_3(X2,X1,X3))) ),
    inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_169,c_0_287]),c_0_95]),c_0_288]) ).

cnf(c_0_502,plain,
    ( ~ stoppedIn(X2,X1,X3)
    | X1 = filling ),
    inference(spm,[status(thm)],[c_0_488,c_0_287]) ).

cnf(c_0_503,plain,
    plus(n0,n3) = n3,
    inference(split_conjunct,[status(thm)],[plus0_3]) ).

cnf(c_0_504,plain,
    ( less(n0,X1)
    | X1 = n0 ),
    inference(spm,[status(thm)],[c_0_103,c_0_445]) ).

cnf(c_0_505,plain,
    ( less(n3,n9)
    | n9 = n3 ),
    inference(spm,[status(thm)],[c_0_453,c_0_445]) ).

cnf(c_0_506,plain,
    ( n2 != n0
    | n9 = n2 ),
    inference(er,[status(thm)],[c_0_489]) ).

cnf(c_0_507,plain,
    ~ less(n3,n2),
    inference(spm,[status(thm)],[c_0_186,c_0_196]) ).

cnf(c_0_508,plain,
    ( holdsAt(filling,n4)
    | holdsAt(waterLevel(n3),n3)
    | epred9_0 ),
    inference(er,[status(thm)],[c_0_490]) ).

cnf(c_0_509,plain,
    ( ~ stoppedIn(X1,X2,n4)
    | stoppedIn(X1,X2,n3)
    | happens(overflow,n3) ),
    inference(spm,[status(thm)],[c_0_491,c_0_492]) ).

cnf(c_0_510,plain,
    ( ~ less(n3,X2)
    | ~ holdsAt(X1,n3)
    | stoppedIn(n2,X1,X2)
    | holdsAt(X1,n4)
    | releasedAt(X1,n4) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_493,c_0_196]),c_0_95]),c_0_462]),c_0_95]),c_0_462]) ).

cnf(c_0_511,plain,
    less(n3,n4),
    inference(spm,[status(thm)],[c_0_422,c_0_130]) ).

cnf(c_0_512,plain,
    ~ stoppedIn(n2,X1,n3),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_494]),c_0_310]) ).

cnf(c_0_513,plain,
    ( ~ happens(X4,X1)
    | ~ less(X1,X3)
    | X2 != filling
    | stoppedIn(n2,X2,X3)
    | X1 = n1
    | n2 = X1
    | X1 = n0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_495,c_0_496]),c_0_88]) ).

cnf(c_0_514,plain,
    n3 != n0,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_403,c_0_497]),c_0_498]) ).

cnf(c_0_515,plain,
    ( holdsAt(filling,n3)
    | epred9_0 ),
    inference(er,[status(thm)],[c_0_499]) ).

cnf(c_0_516,plain,
    ( ~ less(X1,n3)
    | X1 = n2
    | X1 = n1
    | X1 = n0 ),
    inference(spm,[status(thm)],[c_0_500,c_0_496]) ).

cnf(c_0_517,plain,
    ( ~ stoppedIn(X1,X2,X3)
    | esk2_3(X1,X2,X3) != n0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_501,c_0_141]),c_0_502]) ).

cnf(c_0_518,hypothesis,
    trajectory(filling,n0,waterLevel(n3),n3),
    inference(spm,[status(thm)],[c_0_304,c_0_503]) ).

cnf(c_0_519,plain,
    ( less(n0,n3)
    | n2 = n0 ),
    inference(spm,[status(thm)],[c_0_444,c_0_504]) ).

cnf(c_0_520,plain,
    n2 != n0,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_505,c_0_506]),c_0_467]),c_0_507]) ).

cnf(c_0_521,plain,
    ( X4 != waterLevel(X1)
    | X3 != overflow
    | ~ holdsAt(waterLevel(X1),X2)
    | epred1_3(X4,X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_49]) ).

cnf(c_0_522,plain,
    ( holdsAt(filling,n4)
    | holdsAt(waterLevel(n3),n3) ),
    inference(sr,[status(thm)],[c_0_508,c_0_450]) ).

cnf(c_0_523,plain,
    ( ~ releasedAt(X1,n4)
    | releasedAt(X1,n1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_406,c_0_462]),c_0_424]) ).

cnf(c_0_524,plain,
    ( ~ holdsAt(X1,n3)
    | happens(overflow,n3)
    | holdsAt(X1,n4)
    | releasedAt(X1,n4) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_509,c_0_510]),c_0_511])]),c_0_512]) ).

fof(c_0_525,negated_conjecture,
    ~ holdsAt(waterLevel(n3),n4),
    inference(assume_negation,[status(cth)],[waterLevel_4]) ).

cnf(c_0_526,plain,
    ( ~ happens(X2,n3)
    | X1 != filling
    | stoppedIn(n2,X1,n4) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_513,c_0_511]),c_0_514]),c_0_467]),c_0_325]) ).

cnf(c_0_527,plain,
    holdsAt(filling,n3),
    inference(sr,[status(thm)],[c_0_515,c_0_450]) ).

cnf(c_0_528,plain,
    ( ~ stoppedIn(X1,X2,n3)
    | esk2_3(X1,X2,n3) = n1
    | esk2_3(X1,X2,n3) = n2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_516,c_0_119]),c_0_517]) ).

cnf(c_0_529,hypothesis,
    ( ~ happens(X1,n0)
    | ~ less(n0,n3)
    | ~ initiates(X1,filling,n0)
    | stoppedIn(n0,filling,n3)
    | holdsAt(waterLevel(n3),n3) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_518]),c_0_503]),c_0_503]) ).

cnf(c_0_530,plain,
    less(n0,n3),
    inference(sr,[status(thm)],[c_0_519,c_0_520]) ).

cnf(c_0_531,plain,
    ( X2 != overflow
    | X1 != waterLevel(n3)
    | holdsAt(filling,n4)
    | epred1_3(X1,X2,n3) ),
    inference(spm,[status(thm)],[c_0_521,c_0_522]) ).

cnf(c_0_532,plain,
    ( ~ holdsAt(X1,n3)
    | happens(overflow,n3)
    | holdsAt(X1,n4)
    | releasedAt(X1,n1) ),
    inference(spm,[status(thm)],[c_0_523,c_0_524]) ).

fof(c_0_533,negated_conjecture,
    ~ holdsAt(waterLevel(n3),n4),
    inference(fof_simplification,[status(thm)],[c_0_525]) ).

cnf(c_0_534,plain,
    ( ~ holdsAt(waterLevel(n3),n3)
    | X2 != overflow
    | X1 != filling
    | stoppedIn(n2,X1,n4) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_526,c_0_216]),c_0_527])]) ).

cnf(c_0_535,plain,
    ( ~ stoppedIn(X1,X2,n3)
    | happens(overflow,n2)
    | esk2_3(X1,X2,n3) = n1 ),
    inference(spm,[status(thm)],[c_0_491,c_0_528]) ).

cnf(c_0_536,hypothesis,
    ( ~ happens(X1,n0)
    | ~ initiates(X1,filling,n0)
    | stoppedIn(n0,filling,n3)
    | holdsAt(waterLevel(n3),n3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_529,c_0_530])]) ).

cnf(c_0_537,plain,
    ( ~ happens(X2,n3)
    | X2 != overflow
    | X1 != waterLevel(n3)
    | holdsAt(X1,n4)
    | holdsAt(filling,n4) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_531]),c_0_95]),c_0_462]) ).

cnf(c_0_538,hypothesis,
    ( happens(overflow,n3)
    | holdsAt(filling,n4) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_301,c_0_532]),c_0_527])]) ).

fof(c_0_539,negated_conjecture,
    ~ holdsAt(waterLevel(n3),n4),
    inference(fof_nnf,[status(thm)],[c_0_533]) ).

cnf(c_0_540,plain,
    ( ~ holdsAt(waterLevel(n3),n3)
    | X1 != filling
    | stoppedIn(n2,X1,n4) ),
    inference(er,[status(thm)],[c_0_534]) ).

cnf(c_0_541,plain,
    ( ~ stoppedIn(X1,X2,n3)
    | happens(overflow,n1)
    | happens(overflow,n2) ),
    inference(spm,[status(thm)],[c_0_491,c_0_535]) ).

cnf(c_0_542,hypothesis,
    ( stoppedIn(n0,filling,n3)
    | holdsAt(waterLevel(n3),n3) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_536,c_0_259]),c_0_161]),c_0_429])]),c_0_301]),c_0_302]) ).

fof(c_0_543,plain,
    ( ~ epred24_0
  <=> ! [X1] :
        ( X1 != filling
        | ~ holdsAt(X1,n4) ) ),
    introduced(definition) ).

cnf(c_0_544,hypothesis,
    ( X1 != waterLevel(n3)
    | holdsAt(X1,n4)
    | holdsAt(filling,n4) ),
    inference(spm,[status(thm)],[c_0_537,c_0_538]) ).

cnf(c_0_545,negated_conjecture,
    ~ holdsAt(waterLevel(n3),n4),
    inference(split_conjunct,[status(thm)],[c_0_539]) ).

fof(c_0_546,plain,
    ( ~ epred6_0
  <=> ! [X2] :
        ( X2 != overflow
        | ~ happens(X2,n3) ) ),
    introduced(definition) ).

cnf(c_0_547,plain,
    ( ~ holdsAt(waterLevel(n3),n3)
    | X1 != filling
    | happens(overflow,n3) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_509,c_0_540]),c_0_512]) ).

cnf(c_0_548,hypothesis,
    ( happens(overflow,n2)
    | happens(overflow,n1)
    | holdsAt(waterLevel(n3),n3) ),
    inference(spm,[status(thm)],[c_0_541,c_0_542]) ).

cnf(c_0_549,plain,
    ( ~ holdsAt(X1,n4)
    | X1 != filling
    | epred24_0 ),
    inference(split_equiv,[status(thm)],[c_0_543]) ).

cnf(c_0_550,hypothesis,
    holdsAt(filling,n4),
    inference(sr,[status(thm)],[inference(er,[status(thm)],[c_0_544]),c_0_545]) ).

cnf(c_0_551,plain,
    ( ~ happens(X1,n3)
    | X1 != overflow
    | epred6_0 ),
    inference(split_equiv,[status(thm)],[c_0_546]) ).

cnf(c_0_552,plain,
    ( ~ holdsAt(waterLevel(n3),n3)
    | happens(overflow,n3) ),
    inference(er,[status(thm)],[c_0_547]) ).

cnf(c_0_553,hypothesis,
    ( happens(overflow,n1)
    | holdsAt(waterLevel(n3),n3) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_390,c_0_548]),c_0_450]) ).

cnf(c_0_554,plain,
    ( ~ epred6_0
    | ~ epred24_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_462]),c_0_543]),c_0_546]) ).

cnf(c_0_555,hypothesis,
    epred24_0,
    inference(spm,[status(thm)],[c_0_549,c_0_550]) ).

cnf(c_0_556,plain,
    ( ~ holdsAt(waterLevel(n3),n3)
    | epred6_0 ),
    inference(spm,[status(thm)],[c_0_551,c_0_552]) ).

cnf(c_0_557,hypothesis,
    holdsAt(waterLevel(n3),n3),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_230,c_0_553]),c_0_231]) ).

cnf(c_0_558,plain,
    ~ epred6_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_554,c_0_555])]) ).

cnf(c_0_559,plain,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_556,c_0_557])]),c_0_558]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05  % Problem  : CSR001+1 : TPTP v9.3.1. Bugfixed v3.1.0.
% 0.00/0.07  % Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.20/0.45  % Computer : n001.cluster.edu
% 0.20/0.45  % Model    : x86_64 x86_64
% 0.20/0.45  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/0.45  % Memory   : 8046.5625MB
% 0.20/0.45  % OS       : Linux 6.8.0-71-generic
% 0.20/0.45  % CPULimit : 300
% 0.20/0.45  % WCLimit  : 300
% 0.20/0.45  % DateTime : Mon Sep 21 14:28:45 UTC 2026
% 0.20/0.46  % CPUTime  : 
% 0.20/0.46  Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.23/0.52  Running first-order theorem proving
% 0.23/0.52  Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 64.94/11.56  % Version: 3.5.1
% 64.94/11.56  % Preprocessing class: FSLSSMSMSSSNFFN.
% 64.94/11.56  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 64.94/11.56  % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 64.94/11.56  % Starting new_bool_3 with 300s (1) cores
% 64.94/11.56  % Starting new_bool_1 with 300s (1) cores
% 64.94/11.56  % Starting sh5l with 300s (1) cores
% 64.94/11.56  % C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 3364224 completed with status 0
% 64.94/11.56  % Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 64.94/11.56  % Preprocessing class: FSLSSMSMSSSNFFN.
% 64.94/11.56  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 64.94/11.56  % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 64.94/11.56  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 64.94/11.56  % No SInE strategy applied
% 64.94/11.56  % Search class: FGHSF-FSLM32-SFFFFFNN
% 64.94/11.56  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 64.94/11.56  % Starting SubtermCWHack with 136s (1) cores
% 64.94/11.56  % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 64.94/11.56  % Starting G-E--_107_C41_F1_PI_AE_Q4_CS_SP_PS_S0Y with 136s (1) cores
% 64.94/11.56  % Starting new_bool_3 with 136s (1) cores
% 64.94/11.56  % Starting U----_116_C05_02_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN1 with 136s (1) cores
% 64.94/11.56  % G-E--_107_C41_F1_PI_AE_Q4_CS_SP_PS_S0Y with pid 3364232 completed with status 0
% 64.94/11.56  % Result found by G-E--_107_C41_F1_PI_AE_Q4_CS_SP_PS_S0Y
% 64.94/11.56  % Preprocessing class: FSLSSMSMSSSNFFN.
% 64.94/11.56  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 64.94/11.56  % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 64.94/11.56  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 64.94/11.56  % No SInE strategy applied
% 64.94/11.56  % Search class: FGHSF-FSLM32-SFFFFFNN
% 64.94/11.56  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 64.94/11.56  % Starting SubtermCWHack with 136s (1) cores
% 64.94/11.56  % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 64.94/11.56  % Starting G-E--_107_C41_F1_PI_AE_Q4_CS_SP_PS_S0Y with 136s (1) cores
% 64.94/11.56  % Preprocessing time       : 0.003 s
% 64.94/11.56  % Presaturation interreduction done
% 64.94/11.56  
% 64.94/11.56  % Proof found!
% 64.94/11.56  % SZS status Theorem
% 64.94/11.56  % SZS output start CNFRefutation
% See solution above
% 64.94/11.56  % Parsed axioms                        : 55
% 64.94/11.56  % Removed by relevancy pruning/SinE    : 0
% 64.94/11.56  % Initial clauses                      : 137
% 64.94/11.56  % Removed in clause preprocessing      : 1
% 64.94/11.56  % Initial clauses in saturation        : 136
% 64.94/11.56  % Processed clauses                    : 32975
% 64.94/11.56  % ...of these trivial                  : 366
% 64.94/11.56  % ...subsumed                          : 24751
% 64.94/11.56  % ...remaining for further processing  : 7858
% 64.94/11.56  % Other redundant clauses eliminated   : 2003
% 64.94/11.56  % Clauses deleted for lack of memory   : 0
% 64.94/11.56  % Backward-subsumed                    : 3480
% 64.94/11.56  % Backward-rewritten                   : 778
% 64.94/11.56  % Generated clauses                    : 410102
% 64.94/11.56  % ...of the previous two non-redundant : 368344
% 64.94/11.56  % ...aggressively subsumed             : 0
% 64.94/11.56  % Contextual simplify-reflections      : 560
% 64.94/11.56  % Paramodulations                      : 407041
% 64.94/11.56  % Factorizations                       : 29
% 64.94/11.56  % NegExts                              : 0
% 64.94/11.56  % Equation resolutions                 : 2843
% 64.94/11.56  % Disequality decompositions           : 0
% 64.94/11.56  % Total rewrite steps                  : 36573
% 64.94/11.56  % ...of those cached                   : 36459
% 64.94/11.56  % Propositional unsat checks           : 0
% 64.94/11.56  %    Propositional check models        : 0
% 64.94/11.56  %    Propositional check unsatisfiable : 0
% 64.94/11.56  %    Propositional clauses             : 0
% 64.94/11.56  %    Propositional clauses after purity: 0
% 64.94/11.56  %    Propositional unsat core size     : 0
% 64.94/11.56  %    Propositional preprocessing time  : 0.000
% 64.94/11.56  %    Propositional encoding time       : 0.000
% 64.94/11.56  %    Propositional solver time         : 0.000
% 64.94/11.56  %    Success case prop preproc time    : 0.000
% 64.94/11.56  %    Success case prop encoding time   : 0.000
% 64.94/11.56  %    Success case prop solver time     : 0.000
% 64.94/11.56  % Current number of processed clauses  : 3374
% 64.94/11.56  %    Positive orientable unit clauses  : 70
% 64.94/11.56  %    Positive unorientable unit clauses: 1
% 64.94/11.56  %    Negative unit clauses             : 169
% 64.94/11.56  %    Non-unit-clauses                  : 3134
% 64.94/11.56  % Current number of unprocessed clauses: 321831
% 64.94/11.56  % ...number of literals in the above   : 3039408
% 64.94/11.56  % Current number of archived formulas  : 0
% 64.94/11.56  % Current number of archived clauses   : 4395
% 64.94/11.56  % Clause-clause subsumption calls (NU) : 3677189
% 64.94/11.56  % Rec. Clause-clause subsumption calls : 313776
% 64.94/11.56  % Non-unit clause-clause subsumptions  : 17710
% 64.94/11.56  % Unit Clause-clause subsumption calls : 155768
% 64.94/11.56  % Rewrite failures with RHS unbound    : 0
% 64.94/11.56  % BW rewrite match attempts            : 185
% 64.94/11.56  % BW rewrite match successes           : 79
% 64.94/11.56  % Condensation attempts                : 0
% 64.94/11.56  % Condensation successes               : 0
% 64.94/11.56  % Termbank termtop insertions          : 8228712
% 64.94/11.56  % Search garbage collected termcells   : 1494
% 64.94/11.56  
% 64.94/11.56  % -------------------------------------------------
% 64.94/11.56  % User time                : 10.630 s
% 64.94/11.56  % System time              : 0.263 s
% 64.94/11.56  % Total time               : 10.893 s
% 64.94/11.56  % Maximum resident set size: 3692 pages
% 64.94/11.56  
% 64.94/11.56  % -------------------------------------------------
% 64.94/11.56  % User time                : 53.782 s
% 64.94/11.56  % System time              : 0.925 s
% 64.94/11.56  % Total time               : 54.708 s
% 64.94/11.56  % Maximum resident set size: 4864 pages
% 64.94/11.56  % E exiting
%------------------------------------------------------------------------------