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CSE_E---1.7.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : CSE_E---1.7
% Problem  : CSR006+1 : TPTP v9.2.1. Bugfixed v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d

% Computer : n015.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue May  5 04:13:51 PM UTC 2026

% Result   : Theorem 19.46s 11.98s
% Output   : CNFRefutation 19.58s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   29
%            Number of leaves      :   36
% Syntax   : Number of formulae    :  261 (  59 unt;   0 def)
%            Number of atoms       :  965 ( 272 equ)
%            Maximal formula atoms :  194 (   3 avg)
%            Number of connectives : 1125 ( 421   ~; 549   |; 127   &)
%                                         (  13 <=>;  15  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   52 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   14 (  12 usr;   1 prp; 0-4 aty)
%            Number of functors    :   22 (  22 usr;  10 con; 0-3 aty)
%            Number of variables   :  523 (  52 sgn 155   !;  16   ?)

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

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

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

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

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

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

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

fof(less_or_equal,axiom,
    ! [X12,X13] :
      ( less_or_equal(X12,X13)
    <=> ( less(X12,X13)
        | 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(initiates_all_defn,axiom,
    ! [X4,X2,X5] :
      ( initiates(X4,X2,X5)
    <=> ( ( X4 = tapOn
          & X2 = filling )
        | ( X4 = overflow
          & X2 = spilling )
        | ? [X9] :
            ( holdsAt(waterLevel(X9),X5)
            & X4 = tapOff
            & X2 = waterLevel(X9) )
        | ? [X9] :
            ( holdsAt(waterLevel(X9),X5)
            & X4 = overflow
            & X2 = waterLevel(X9) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR001+1.ax',initiates_all_defn) ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

fof(c_0_35,plain,
    ! [X168,X169] :
      ( ( holdsAt(waterLevel(n3),X169)
        | X168 = tapOn
        | ~ happens(X168,X169) )
      & ( holdsAt(filling,X169)
        | X168 = tapOn
        | ~ happens(X168,X169) )
      & ( X168 = overflow
        | X168 = tapOn
        | ~ happens(X168,X169) )
      & ( holdsAt(waterLevel(n3),X169)
        | X169 = n0
        | ~ happens(X168,X169) )
      & ( holdsAt(filling,X169)
        | X169 = n0
        | ~ happens(X168,X169) )
      & ( X168 = overflow
        | X169 = n0
        | ~ happens(X168,X169) )
      & ( X168 != tapOn
        | X169 != n0
        | happens(X168,X169) )
      & ( ~ holdsAt(waterLevel(n3),X169)
        | ~ holdsAt(filling,X169)
        | X168 != overflow
        | happens(X168,X169) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[happens_all_defn])])]) ).

fof(c_0_36,plain,
    ! [X100,X101,X102,X105,X106,X107,X108,X109] :
      ( ( happens(esk1_3(X100,X101,X102),esk2_3(X100,X101,X102))
        | ~ stoppedIn(X100,X101,X102) )
      & ( less(X100,esk2_3(X100,X101,X102))
        | ~ stoppedIn(X100,X101,X102) )
      & ( less(esk2_3(X100,X101,X102),X102)
        | ~ stoppedIn(X100,X101,X102) )
      & ( terminates(esk1_3(X100,X101,X102),X101,esk2_3(X100,X101,X102))
        | ~ stoppedIn(X100,X101,X102) )
      & ( ~ happens(X108,X109)
        | ~ less(X105,X109)
        | ~ less(X109,X107)
        | ~ terminates(X108,X106,X109)
        | stoppedIn(X105,X106,X107) ) ),
    inference(distribute,[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])])])])])]) ).

fof(c_0_37,plain,
    ! [X157,X158,X159] :
      ( ( X157 = overflow
        | X157 = tapOff
        | ~ terminates(X157,X158,X159) )
      & ( X158 = filling
        | X157 = tapOff
        | ~ terminates(X157,X158,X159) )
      & ( X157 = overflow
        | X158 = filling
        | ~ terminates(X157,X158,X159) )
      & ( X158 = filling
        | X158 = filling
        | ~ terminates(X157,X158,X159) )
      & ( X157 != tapOff
        | X158 != filling
        | terminates(X157,X158,X159) )
      & ( X157 != overflow
        | X158 != filling
        | terminates(X157,X158,X159) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[terminates_all_defn])])]) ).

fof(c_0_38,plain,
    ! [X4,X5,X2] :
      ( ( happens(X4,X5)
        & ( initiates(X4,X2,X5)
          | terminates(X4,X2,X5) ) )
     => ~ releasedAt(X2,plus(X5,n1)) ),
    inference(fof_simplification,[status(thm)],[happens_not_released]) ).

cnf(c_0_39,plain,
    ( X1 = overflow
    | X1 = tapOn
    | ~ happens(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_35]) ).

cnf(c_0_40,plain,
    ( happens(esk1_3(X1,X2,X3),esk2_3(X1,X2,X3))
    | ~ stoppedIn(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

cnf(c_0_41,plain,
    ( X1 = overflow
    | X1 = tapOff
    | ~ terminates(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_37]) ).

cnf(c_0_42,plain,
    ( terminates(esk1_3(X1,X2,X3),X2,esk2_3(X1,X2,X3))
    | ~ stoppedIn(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

fof(c_0_43,plain,
    ! [X5,X4,X2] :
      ( epred1_3(X2,X4,X5)
    <=> ( ( X4 = tapOn
          & X2 = filling )
        | ( X4 = overflow
          & X2 = spilling )
        | ? [X9] :
            ( holdsAt(waterLevel(X9),X5)
            & X4 = tapOff
            & X2 = waterLevel(X9) )
        | ? [X9] :
            ( holdsAt(waterLevel(X9),X5)
            & X4 = overflow
            & X2 = waterLevel(X9) ) ) ),
    introduced(definition) ).

fof(c_0_44,plain,
    ! [X151,X152,X153] :
      ( ( ~ initiates(X151,X153,X152)
        | ~ happens(X151,X152)
        | ~ releasedAt(X153,plus(X152,n1)) )
      & ( ~ terminates(X151,X153,X152)
        | ~ happens(X151,X152)
        | ~ releasedAt(X153,plus(X152,n1)) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_38])])]) ).

fof(c_0_45,plain,
    ! [X181,X182] : plus(X181,X182) = plus(X182,X181),
    inference(variable_rename,[status(thm)],[symmetry_of_plus]) ).

cnf(c_0_46,plain,
    ( terminates(X1,X2,X3)
    | X1 != overflow
    | X2 != filling ),
    inference(split_conjunct,[status(thm)],[c_0_37]) ).

cnf(c_0_47,plain,
    ( esk1_3(X1,X2,X3) = overflow
    | esk1_3(X1,X2,X3) = tapOn
    | ~ stoppedIn(X1,X2,X3) ),
    inference(spm,[status(thm)],[c_0_39,c_0_40]) ).

cnf(c_0_48,plain,
    ( esk1_3(X1,X2,X3) = tapOff
    | esk1_3(X1,X2,X3) = overflow
    | ~ stoppedIn(X1,X2,X3) ),
    inference(spm,[status(thm)],[c_0_41,c_0_42]) ).

cnf(c_0_49,plain,
    tapOff != overflow,
    inference(split_conjunct,[status(thm)],[tapOff_not_overflow]) ).

cnf(c_0_50,plain,
    tapOff != tapOn,
    inference(split_conjunct,[status(thm)],[tapOff_not_tapOn]) ).

fof(c_0_51,plain,
    ! [X183,X184] :
      ( ( ~ less_or_equal(X183,X184)
        | less(X183,X184)
        | X183 = X184 )
      & ( ~ less(X183,X184)
        | less_or_equal(X183,X184) )
      & ( X183 != X184
        | less_or_equal(X183,X184) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[less_or_equal])])]) ).

fof(c_0_52,plain,
    ! [X186] :
      ( ( ~ less(X186,n1)
        | less_or_equal(X186,n0) )
      & ( ~ less_or_equal(X186,n0)
        | less(X186,n1) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[less1])]) ).

fof(c_0_53,plain,
    ! [X185] : ~ less(X185,n0),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[less0])]) ).

fof(c_0_54,axiom,
    ! [X4,X2,X5] :
      ( initiates(X4,X2,X5)
    <=> epred1_3(X2,X4,X5) ),
    inference(apply_def,[status(thm)],[initiates_all_defn,c_0_43]) ).

fof(c_0_55,plain,
    ! [X2,X5] :
      ( ( ~ releasedAt(X2,X5)
        & ~ ? [X4] :
              ( happens(X4,X5)
              & releases(X4,X2,X5) ) )
     => ~ releasedAt(X2,plus(X5,n1)) ),
    inference(fof_simplification,[status(thm)],[keep_not_released]) ).

cnf(c_0_56,plain,
    ( ~ initiates(X1,X2,X3)
    | ~ happens(X1,X3)
    | ~ releasedAt(X2,plus(X3,n1)) ),
    inference(split_conjunct,[status(thm)],[c_0_44]) ).

cnf(c_0_57,plain,
    plus(X1,X2) = plus(X2,X1),
    inference(split_conjunct,[status(thm)],[c_0_45]) ).

cnf(c_0_58,plain,
    plus(n0,n1) = n1,
    inference(split_conjunct,[status(thm)],[plus0_1]) ).

fof(c_0_59,plain,
    ! [X160,X161,X162,X164,X165,X166,X167] :
      ( ( X160 = tapOn
        | ~ releases(X160,X161,X162) )
      & ( X161 = waterLevel(esk9_2(X160,X161))
        | ~ releases(X160,X161,X162) )
      & ( X164 != tapOn
        | X165 != waterLevel(X166)
        | releases(X164,X165,X167) ) ),
    inference(distribute,[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])])])])])]) ).

cnf(c_0_60,plain,
    ( stoppedIn(X3,X5,X4)
    | ~ happens(X1,X2)
    | ~ less(X3,X2)
    | ~ less(X2,X4)
    | ~ terminates(X1,X5,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

cnf(c_0_61,plain,
    terminates(overflow,filling,X1),
    inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_46])]) ).

cnf(c_0_62,plain,
    ( esk1_3(X1,X2,X3) = overflow
    | ~ stoppedIn(X1,X2,X3) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_49]),c_0_50]) ).

fof(c_0_63,plain,
    ! [X187] :
      ( ( ~ less(X187,n2)
        | less_or_equal(X187,n1) )
      & ( ~ less_or_equal(X187,n1)
        | less(X187,n2) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[less2])]) ).

cnf(c_0_64,plain,
    ( less(X1,X2)
    | X1 = X2
    | ~ less_or_equal(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_51]) ).

cnf(c_0_65,plain,
    ( less_or_equal(X1,n0)
    | ~ less(X1,n1) ),
    inference(split_conjunct,[status(thm)],[c_0_52]) ).

cnf(c_0_66,plain,
    ~ less(X1,n0),
    inference(split_conjunct,[status(thm)],[c_0_53]) ).

fof(c_0_67,plain,
    ! [X142,X143,X144] :
      ( ~ happens(X142,X143)
      | ~ initiates(X142,X144,X143)
      | holdsAt(X144,plus(X143,n1)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[happens_holds])]) ).

fof(c_0_68,plain,
    ! [X154,X155,X156] :
      ( ( ~ initiates(X154,X155,X156)
        | epred1_3(X155,X154,X156) )
      & ( ~ epred1_3(X155,X154,X156)
        | initiates(X154,X155,X156) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_54])]) ).

fof(c_0_69,plain,
    ! [X198,X199,X200,X203,X204,X205,X206,X207] :
      ( ( holdsAt(waterLevel(esk11_3(X198,X199,X200)),X198)
        | holdsAt(waterLevel(esk10_3(X198,X199,X200)),X198)
        | X199 = overflow
        | X199 = tapOn
        | ~ epred1_3(X200,X199,X198) )
      & ( X199 = overflow
        | holdsAt(waterLevel(esk10_3(X198,X199,X200)),X198)
        | X199 = overflow
        | X199 = tapOn
        | ~ epred1_3(X200,X199,X198) )
      & ( X200 = waterLevel(esk11_3(X198,X199,X200))
        | holdsAt(waterLevel(esk10_3(X198,X199,X200)),X198)
        | X199 = overflow
        | X199 = tapOn
        | ~ epred1_3(X200,X199,X198) )
      & ( holdsAt(waterLevel(esk11_3(X198,X199,X200)),X198)
        | X199 = tapOff
        | X199 = overflow
        | X199 = tapOn
        | ~ epred1_3(X200,X199,X198) )
      & ( X199 = overflow
        | X199 = tapOff
        | X199 = overflow
        | X199 = tapOn
        | ~ epred1_3(X200,X199,X198) )
      & ( X200 = waterLevel(esk11_3(X198,X199,X200))
        | X199 = tapOff
        | X199 = overflow
        | X199 = tapOn
        | ~ epred1_3(X200,X199,X198) )
      & ( holdsAt(waterLevel(esk11_3(X198,X199,X200)),X198)
        | X200 = waterLevel(esk10_3(X198,X199,X200))
        | X199 = overflow
        | X199 = tapOn
        | ~ epred1_3(X200,X199,X198) )
      & ( X199 = overflow
        | X200 = waterLevel(esk10_3(X198,X199,X200))
        | X199 = overflow
        | X199 = tapOn
        | ~ epred1_3(X200,X199,X198) )
      & ( X200 = waterLevel(esk11_3(X198,X199,X200))
        | X200 = waterLevel(esk10_3(X198,X199,X200))
        | X199 = overflow
        | X199 = tapOn
        | ~ epred1_3(X200,X199,X198) )
      & ( holdsAt(waterLevel(esk11_3(X198,X199,X200)),X198)
        | holdsAt(waterLevel(esk10_3(X198,X199,X200)),X198)
        | X200 = spilling
        | X199 = tapOn
        | ~ epred1_3(X200,X199,X198) )
      & ( X199 = overflow
        | holdsAt(waterLevel(esk10_3(X198,X199,X200)),X198)
        | X200 = spilling
        | X199 = tapOn
        | ~ epred1_3(X200,X199,X198) )
      & ( X200 = waterLevel(esk11_3(X198,X199,X200))
        | holdsAt(waterLevel(esk10_3(X198,X199,X200)),X198)
        | X200 = spilling
        | X199 = tapOn
        | ~ epred1_3(X200,X199,X198) )
      & ( holdsAt(waterLevel(esk11_3(X198,X199,X200)),X198)
        | X199 = tapOff
        | X200 = spilling
        | X199 = tapOn
        | ~ epred1_3(X200,X199,X198) )
      & ( X199 = overflow
        | X199 = tapOff
        | X200 = spilling
        | X199 = tapOn
        | ~ epred1_3(X200,X199,X198) )
      & ( X200 = waterLevel(esk11_3(X198,X199,X200))
        | X199 = tapOff
        | X200 = spilling
        | X199 = tapOn
        | ~ epred1_3(X200,X199,X198) )
      & ( holdsAt(waterLevel(esk11_3(X198,X199,X200)),X198)
        | X200 = waterLevel(esk10_3(X198,X199,X200))
        | X200 = spilling
        | X199 = tapOn
        | ~ epred1_3(X200,X199,X198) )
      & ( X199 = overflow
        | X200 = waterLevel(esk10_3(X198,X199,X200))
        | X200 = spilling
        | X199 = tapOn
        | ~ epred1_3(X200,X199,X198) )
      & ( X200 = waterLevel(esk11_3(X198,X199,X200))
        | X200 = waterLevel(esk10_3(X198,X199,X200))
        | X200 = spilling
        | X199 = tapOn
        | ~ epred1_3(X200,X199,X198) )
      & ( holdsAt(waterLevel(esk11_3(X198,X199,X200)),X198)
        | holdsAt(waterLevel(esk10_3(X198,X199,X200)),X198)
        | X199 = overflow
        | X200 = filling
        | ~ epred1_3(X200,X199,X198) )
      & ( X199 = overflow
        | holdsAt(waterLevel(esk10_3(X198,X199,X200)),X198)
        | X199 = overflow
        | X200 = filling
        | ~ epred1_3(X200,X199,X198) )
      & ( X200 = waterLevel(esk11_3(X198,X199,X200))
        | holdsAt(waterLevel(esk10_3(X198,X199,X200)),X198)
        | X199 = overflow
        | X200 = filling
        | ~ epred1_3(X200,X199,X198) )
      & ( holdsAt(waterLevel(esk11_3(X198,X199,X200)),X198)
        | X199 = tapOff
        | X199 = overflow
        | X200 = filling
        | ~ epred1_3(X200,X199,X198) )
      & ( X199 = overflow
        | X199 = tapOff
        | X199 = overflow
        | X200 = filling
        | ~ epred1_3(X200,X199,X198) )
      & ( X200 = waterLevel(esk11_3(X198,X199,X200))
        | X199 = tapOff
        | X199 = overflow
        | X200 = filling
        | ~ epred1_3(X200,X199,X198) )
      & ( holdsAt(waterLevel(esk11_3(X198,X199,X200)),X198)
        | X200 = waterLevel(esk10_3(X198,X199,X200))
        | X199 = overflow
        | X200 = filling
        | ~ epred1_3(X200,X199,X198) )
      & ( X199 = overflow
        | X200 = waterLevel(esk10_3(X198,X199,X200))
        | X199 = overflow
        | X200 = filling
        | ~ epred1_3(X200,X199,X198) )
      & ( X200 = waterLevel(esk11_3(X198,X199,X200))
        | X200 = waterLevel(esk10_3(X198,X199,X200))
        | X199 = overflow
        | X200 = filling
        | ~ epred1_3(X200,X199,X198) )
      & ( holdsAt(waterLevel(esk11_3(X198,X199,X200)),X198)
        | holdsAt(waterLevel(esk10_3(X198,X199,X200)),X198)
        | X200 = spilling
        | X200 = filling
        | ~ epred1_3(X200,X199,X198) )
      & ( X199 = overflow
        | holdsAt(waterLevel(esk10_3(X198,X199,X200)),X198)
        | X200 = spilling
        | X200 = filling
        | ~ epred1_3(X200,X199,X198) )
      & ( X200 = waterLevel(esk11_3(X198,X199,X200))
        | holdsAt(waterLevel(esk10_3(X198,X199,X200)),X198)
        | X200 = spilling
        | X200 = filling
        | ~ epred1_3(X200,X199,X198) )
      & ( holdsAt(waterLevel(esk11_3(X198,X199,X200)),X198)
        | X199 = tapOff
        | X200 = spilling
        | X200 = filling
        | ~ epred1_3(X200,X199,X198) )
      & ( X199 = overflow
        | X199 = tapOff
        | X200 = spilling
        | X200 = filling
        | ~ epred1_3(X200,X199,X198) )
      & ( X200 = waterLevel(esk11_3(X198,X199,X200))
        | X199 = tapOff
        | X200 = spilling
        | X200 = filling
        | ~ epred1_3(X200,X199,X198) )
      & ( holdsAt(waterLevel(esk11_3(X198,X199,X200)),X198)
        | X200 = waterLevel(esk10_3(X198,X199,X200))
        | X200 = spilling
        | X200 = filling
        | ~ epred1_3(X200,X199,X198) )
      & ( X199 = overflow
        | X200 = waterLevel(esk10_3(X198,X199,X200))
        | X200 = spilling
        | X200 = filling
        | ~ epred1_3(X200,X199,X198) )
      & ( X200 = waterLevel(esk11_3(X198,X199,X200))
        | X200 = waterLevel(esk10_3(X198,X199,X200))
        | X200 = spilling
        | X200 = filling
        | ~ epred1_3(X200,X199,X198) )
      & ( X204 != tapOn
        | X205 != filling
        | epred1_3(X205,X204,X203) )
      & ( X204 != overflow
        | X205 != spilling
        | epred1_3(X205,X204,X203) )
      & ( ~ holdsAt(waterLevel(X206),X203)
        | X204 != tapOff
        | X205 != waterLevel(X206)
        | epred1_3(X205,X204,X203) )
      & ( ~ holdsAt(waterLevel(X207),X203)
        | X204 != overflow
        | X205 != waterLevel(X207)
        | epred1_3(X205,X204,X203) ) ),
    inference(distribute,[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_43])])])])])]) ).

fof(c_0_70,plain,
    ! [X139,X140] :
      ( ( happens(esk8_2(X139,X140),X140)
        | releasedAt(X139,X140)
        | ~ releasedAt(X139,plus(X140,n1)) )
      & ( releases(esk8_2(X139,X140),X139,X140)
        | releasedAt(X139,X140)
        | ~ releasedAt(X139,plus(X140,n1)) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_55])])])]) ).

cnf(c_0_71,plain,
    ( ~ releasedAt(X1,plus(n1,X2))
    | ~ initiates(X3,X1,X2)
    | ~ happens(X3,X2) ),
    inference(spm,[status(thm)],[c_0_56,c_0_57]) ).

cnf(c_0_72,plain,
    plus(n1,n0) = n1,
    inference(rw,[status(thm)],[c_0_58,c_0_57]) ).

fof(c_0_73,plain,
    ! [X148,X149,X150] :
      ( ~ happens(X148,X149)
      | ~ releases(X148,X150,X149)
      | releasedAt(X150,plus(X149,n1)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[happens_releases])]) ).

cnf(c_0_74,plain,
    ( releases(X1,X2,X4)
    | X1 != tapOn
    | X2 != waterLevel(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_59]) ).

cnf(c_0_75,plain,
    ( stoppedIn(X1,filling,X2)
    | ~ less(X1,X3)
    | ~ less(X3,X2)
    | ~ happens(overflow,X3) ),
    inference(spm,[status(thm)],[c_0_60,c_0_61]) ).

cnf(c_0_76,plain,
    ( happens(overflow,esk2_3(X1,X2,X3))
    | ~ stoppedIn(X1,X2,X3) ),
    inference(spm,[status(thm)],[c_0_40,c_0_62]) ).

cnf(c_0_77,plain,
    ( less_or_equal(X1,n1)
    | ~ less(X1,n2) ),
    inference(split_conjunct,[status(thm)],[c_0_63]) ).

cnf(c_0_78,plain,
    ( X1 = n0
    | ~ less(X1,n1) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_65]),c_0_66]) ).

cnf(c_0_79,plain,
    ( less(esk2_3(X1,X2,X3),X3)
    | ~ stoppedIn(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

fof(c_0_80,plain,
    ! [X2,X5] :
      ( ( holdsAt(X2,X5)
        & ~ releasedAt(X2,plus(X5,n1))
        & ~ ? [X4] :
              ( happens(X4,X5)
              & terminates(X4,X2,X5) ) )
     => holdsAt(X2,plus(X5,n1)) ),
    inference(fof_simplification,[status(thm)],[keep_holding]) ).

cnf(c_0_81,plain,
    ( holdsAt(X3,plus(X2,n1))
    | ~ happens(X1,X2)
    | ~ initiates(X1,X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_67]) ).

cnf(c_0_82,plain,
    ( initiates(X2,X1,X3)
    | ~ epred1_3(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_68]) ).

cnf(c_0_83,plain,
    ( epred1_3(X2,X1,X3)
    | X1 != tapOn
    | X2 != filling ),
    inference(split_conjunct,[status(thm)],[c_0_69]) ).

fof(c_0_84,plain,
    ! [X177] : filling != waterLevel(X177),
    inference(variable_rename,[status(thm)],[filling_not_waterLevel]) ).

cnf(c_0_85,plain,
    ( X1 = waterLevel(esk9_2(X2,X1))
    | ~ releases(X2,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_59]) ).

cnf(c_0_86,plain,
    ( releases(esk8_2(X1,X2),X1,X2)
    | releasedAt(X1,X2)
    | ~ releasedAt(X1,plus(X2,n1)) ),
    inference(split_conjunct,[status(thm)],[c_0_70]) ).

cnf(c_0_87,plain,
    ( ~ releasedAt(X1,n1)
    | ~ initiates(X2,X1,n0)
    | ~ happens(X2,n0) ),
    inference(spm,[status(thm)],[c_0_71,c_0_72]) ).

cnf(c_0_88,plain,
    ( happens(X1,X2)
    | X1 != tapOn
    | X2 != n0 ),
    inference(split_conjunct,[status(thm)],[c_0_35]) ).

fof(c_0_89,plain,
    ! [X170,X171,X172,X173] :
      ( ~ holdsAt(waterLevel(X170),X171)
      | X172 != plus(X170,X173)
      | trajectory(filling,X171,waterLevel(X172),X173) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[change_of_waterLevel])]) ).

cnf(c_0_90,plain,
    ( releasedAt(X3,plus(X2,n1))
    | ~ happens(X1,X2)
    | ~ releases(X1,X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_73]) ).

cnf(c_0_91,plain,
    releases(tapOn,waterLevel(X1),X2),
    inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_74])]) ).

fof(c_0_92,plain,
    ! [X110,X111,X112,X115,X116,X117,X118,X119] :
      ( ( happens(esk3_3(X110,X111,X112),esk4_3(X110,X111,X112))
        | ~ startedIn(X110,X112,X111) )
      & ( less(X110,esk4_3(X110,X111,X112))
        | ~ startedIn(X110,X112,X111) )
      & ( less(esk4_3(X110,X111,X112),X111)
        | ~ startedIn(X110,X112,X111) )
      & ( initiates(esk3_3(X110,X111,X112),X112,esk4_3(X110,X111,X112))
        | ~ startedIn(X110,X112,X111) )
      & ( ~ happens(X118,X119)
        | ~ less(X115,X119)
        | ~ less(X119,X116)
        | ~ initiates(X118,X117,X119)
        | startedIn(X115,X117,X116) ) ),
    inference(distribute,[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_93,plain,
    ( stoppedIn(X1,filling,X2)
    | ~ less(X1,esk2_3(X3,X4,X5))
    | ~ less(esk2_3(X3,X4,X5),X2)
    | ~ stoppedIn(X3,X4,X5) ),
    inference(spm,[status(thm)],[c_0_75,c_0_76]) ).

cnf(c_0_94,plain,
    ( less(X1,esk2_3(X1,X2,X3))
    | ~ stoppedIn(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

cnf(c_0_95,plain,
    ( X1 = n1
    | less(X1,n1)
    | ~ less(X1,n2) ),
    inference(spm,[status(thm)],[c_0_64,c_0_77]) ).

cnf(c_0_96,plain,
    ( esk2_3(X1,X2,n1) = n0
    | ~ stoppedIn(X1,X2,n1) ),
    inference(spm,[status(thm)],[c_0_78,c_0_79]) ).

fof(c_0_97,plain,
    ! [X130,X131] :
      ( ( happens(esk5_2(X130,X131),X131)
        | ~ holdsAt(X130,X131)
        | releasedAt(X130,plus(X131,n1))
        | holdsAt(X130,plus(X131,n1)) )
      & ( terminates(esk5_2(X130,X131),X130,X131)
        | ~ holdsAt(X130,X131)
        | releasedAt(X130,plus(X131,n1))
        | holdsAt(X130,plus(X131,n1)) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_80])])])]) ).

cnf(c_0_98,plain,
    ( holdsAt(X1,plus(X2,n1))
    | ~ epred1_3(X1,X3,X2)
    | ~ happens(X3,X2) ),
    inference(spm,[status(thm)],[c_0_81,c_0_82]) ).

cnf(c_0_99,plain,
    epred1_3(filling,tapOn,X1),
    inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_83])]) ).

cnf(c_0_100,plain,
    filling != waterLevel(X1),
    inference(split_conjunct,[status(thm)],[c_0_84]) ).

cnf(c_0_101,plain,
    ( waterLevel(esk9_2(esk8_2(X1,X2),X1)) = X1
    | releasedAt(X1,X2)
    | ~ releasedAt(X1,plus(X2,n1)) ),
    inference(spm,[status(thm)],[c_0_85,c_0_86]) ).

cnf(c_0_102,plain,
    ( ~ epred1_3(X1,X2,n0)
    | ~ releasedAt(X1,n1)
    | ~ happens(X2,n0) ),
    inference(spm,[status(thm)],[c_0_87,c_0_82]) ).

cnf(c_0_103,plain,
    happens(tapOn,n0),
    inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_88])]) ).

cnf(c_0_104,plain,
    ( trajectory(filling,X2,waterLevel(X3),X4)
    | ~ holdsAt(waterLevel(X1),X2)
    | X3 != plus(X1,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_89]) ).

cnf(c_0_105,plain,
    ( releasedAt(waterLevel(X1),plus(X2,n1))
    | ~ happens(tapOn,X2) ),
    inference(spm,[status(thm)],[c_0_90,c_0_91]) ).

cnf(c_0_106,plain,
    ( happens(esk3_3(X1,X2,X3),esk4_3(X1,X2,X3))
    | ~ startedIn(X1,X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_92]) ).

fof(c_0_107,plain,
    ! [X188] :
      ( ( ~ less(X188,n3)
        | less_or_equal(X188,n2) )
      & ( ~ less_or_equal(X188,n2)
        | less(X188,n3) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[less3])]) ).

cnf(c_0_108,plain,
    ( holdsAt(waterLevel(n3),X1)
    | X2 = tapOn
    | ~ happens(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_35]) ).

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

cnf(c_0_110,plain,
    ( stoppedIn(X1,filling,X2)
    | ~ less(esk2_3(X1,X3,X4),X2)
    | ~ stoppedIn(X1,X3,X4) ),
    inference(spm,[status(thm)],[c_0_93,c_0_94]) ).

cnf(c_0_111,plain,
    ( esk2_3(X1,X2,n2) = n1
    | less(esk2_3(X1,X2,n2),n1)
    | ~ stoppedIn(X1,X2,n2) ),
    inference(spm,[status(thm)],[c_0_95,c_0_79]) ).

cnf(c_0_112,plain,
    ~ stoppedIn(X1,X2,n1),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_96]),c_0_66]) ).

cnf(c_0_113,plain,
    ( terminates(esk5_2(X1,X2),X1,X2)
    | releasedAt(X1,plus(X2,n1))
    | holdsAt(X1,plus(X2,n1))
    | ~ holdsAt(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_97]) ).

cnf(c_0_114,plain,
    ( happens(esk5_2(X1,X2),X2)
    | releasedAt(X1,plus(X2,n1))
    | holdsAt(X1,plus(X2,n1))
    | ~ holdsAt(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_97]) ).

cnf(c_0_115,plain,
    ( holdsAt(filling,plus(X1,n1))
    | ~ happens(tapOn,X1) ),
    inference(spm,[status(thm)],[c_0_98,c_0_99]) ).

cnf(c_0_116,plain,
    ( releasedAt(filling,X1)
    | ~ releasedAt(filling,plus(X1,n1)) ),
    inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_101])]) ).

cnf(c_0_117,plain,
    plus(n1,n1) = n2,
    inference(split_conjunct,[status(thm)],[plus1_1]) ).

cnf(c_0_118,plain,
    ~ releasedAt(filling,n1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_99]),c_0_103])]) ).

cnf(c_0_119,plain,
    ( less_or_equal(X1,X2)
    | X1 != X2 ),
    inference(split_conjunct,[status(thm)],[c_0_51]) ).

fof(c_0_120,plain,
    ! [X4,X5,X2,X6,X7] :
      ( ( happens(X4,X5)
        & initiates(X4,X2,X5)
        & less(n0,X7)
        & trajectory(X2,X5,X6,X7)
        & ~ stoppedIn(X5,X2,plus(X5,X7)) )
     => holdsAt(X6,plus(X5,X7)) ),
    inference(fof_simplification,[status(thm)],[change_holding]) ).

cnf(c_0_121,plain,
    ( trajectory(filling,X1,waterLevel(plus(X2,X3)),X3)
    | ~ holdsAt(waterLevel(X2),X1) ),
    inference(er,[status(thm)],[c_0_104]) ).

cnf(c_0_122,plain,
    ( ~ initiates(X1,waterLevel(X2),X3)
    | ~ happens(tapOn,X3)
    | ~ happens(X1,X3) ),
    inference(spm,[status(thm)],[c_0_56,c_0_105]) ).

cnf(c_0_123,plain,
    ( initiates(esk3_3(X1,X2,X3),X3,esk4_3(X1,X2,X3))
    | ~ startedIn(X1,X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_92]) ).

cnf(c_0_124,plain,
    ( esk3_3(X1,X2,X3) = overflow
    | esk3_3(X1,X2,X3) = tapOn
    | ~ startedIn(X1,X3,X2) ),
    inference(spm,[status(thm)],[c_0_39,c_0_106]) ).

cnf(c_0_125,plain,
    ( less_or_equal(X1,n2)
    | ~ less(X1,n3) ),
    inference(split_conjunct,[status(thm)],[c_0_107]) ).

cnf(c_0_126,plain,
    ( holdsAt(waterLevel(n3),esk2_3(X1,X2,X3))
    | ~ stoppedIn(X1,X2,X3) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_76]),c_0_109]) ).

cnf(c_0_127,plain,
    ( esk2_3(X1,X2,n2) = n1
    | ~ stoppedIn(X1,X2,n2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_111]),c_0_112]) ).

cnf(c_0_128,plain,
    ( releasedAt(X1,plus(X2,n1))
    | holdsAt(X1,plus(X2,n1))
    | stoppedIn(X3,X1,X4)
    | ~ holdsAt(X1,X2)
    | ~ less(X3,X2)
    | ~ less(X2,X4) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_113]),c_0_114]) ).

cnf(c_0_129,plain,
    holdsAt(filling,n1),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_103]),c_0_57]),c_0_72]) ).

cnf(c_0_130,plain,
    ~ releasedAt(filling,n2),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_117]),c_0_118]) ).

cnf(c_0_131,plain,
    ( less(X1,n2)
    | ~ less_or_equal(X1,n1) ),
    inference(split_conjunct,[status(thm)],[c_0_63]) ).

cnf(c_0_132,plain,
    less_or_equal(X1,X1),
    inference(er,[status(thm)],[c_0_119]) ).

fof(c_0_133,plain,
    ! [X120,X121,X122,X123,X124] :
      ( ~ happens(X120,X121)
      | ~ initiates(X120,X122,X121)
      | ~ less(n0,X124)
      | ~ trajectory(X122,X121,X123,X124)
      | stoppedIn(X121,X122,plus(X121,X124))
      | holdsAt(X123,plus(X121,X124)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_120])]) ).

cnf(c_0_134,plain,
    ( trajectory(filling,X1,waterLevel(plus(X2,X3)),X2)
    | ~ holdsAt(waterLevel(X3),X1) ),
    inference(spm,[status(thm)],[c_0_121,c_0_57]) ).

cnf(c_0_135,plain,
    ( less(X1,n1)
    | ~ less_or_equal(X1,n0) ),
    inference(split_conjunct,[status(thm)],[c_0_52]) ).

fof(c_0_136,plain,
    ! [X4,X5,X2] :
      ( ( happens(X4,X5)
        & terminates(X4,X2,X5) )
     => ~ holdsAt(X2,plus(X5,n1)) ),
    inference(fof_simplification,[status(thm)],[happens_terminates_not_holds]) ).

cnf(c_0_137,plain,
    ( ~ startedIn(X1,waterLevel(X2),X3)
    | ~ happens(tapOn,esk4_3(X1,X3,waterLevel(X2))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_123]),c_0_106]) ).

cnf(c_0_138,plain,
    ( esk3_3(X1,X2,X3) = overflow
    | happens(tapOn,esk4_3(X1,X2,X3))
    | ~ startedIn(X1,X3,X2) ),
    inference(spm,[status(thm)],[c_0_106,c_0_124]) ).

cnf(c_0_139,plain,
    ( startedIn(X3,X5,X4)
    | ~ happens(X1,X2)
    | ~ less(X3,X2)
    | ~ less(X2,X4)
    | ~ initiates(X1,X5,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_92]) ).

cnf(c_0_140,plain,
    ( X1 = n2
    | less(X1,n2)
    | ~ less(X1,n3) ),
    inference(spm,[status(thm)],[c_0_64,c_0_125]) ).

cnf(c_0_141,plain,
    ( less(esk4_3(X1,X2,X3),X2)
    | ~ startedIn(X1,X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_92]) ).

cnf(c_0_142,plain,
    ( epred1_3(X4,X3,X2)
    | ~ holdsAt(waterLevel(X1),X2)
    | X3 != overflow
    | X4 != waterLevel(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_69]) ).

cnf(c_0_143,plain,
    ( holdsAt(waterLevel(n3),n1)
    | ~ stoppedIn(X1,X2,n2) ),
    inference(spm,[status(thm)],[c_0_126,c_0_127]) ).

cnf(c_0_144,plain,
    ( holdsAt(filling,n2)
    | stoppedIn(X1,filling,X2)
    | ~ less(X1,n1)
    | ~ less(n1,X2) ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_129]),c_0_117]),c_0_117]),c_0_130]) ).

cnf(c_0_145,plain,
    less(n1,n2),
    inference(spm,[status(thm)],[c_0_131,c_0_132]) ).

cnf(c_0_146,plain,
    ( stoppedIn(X2,X3,plus(X2,X4))
    | holdsAt(X5,plus(X2,X4))
    | ~ happens(X1,X2)
    | ~ initiates(X1,X3,X2)
    | ~ less(n0,X4)
    | ~ trajectory(X3,X2,X5,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_133]) ).

cnf(c_0_147,plain,
    ( trajectory(filling,X1,waterLevel(n1),n1)
    | ~ holdsAt(waterLevel(n0),X1) ),
    inference(spm,[status(thm)],[c_0_134,c_0_72]) ).

cnf(c_0_148,plain,
    less(n0,n1),
    inference(spm,[status(thm)],[c_0_135,c_0_132]) ).

fof(c_0_149,plain,
    ! [X2,X5] :
      ( ( ~ holdsAt(X2,X5)
        & ~ releasedAt(X2,plus(X5,n1))
        & ~ ? [X4] :
              ( happens(X4,X5)
              & initiates(X4,X2,X5) ) )
     => ~ holdsAt(X2,plus(X5,n1)) ),
    inference(fof_simplification,[status(thm)],[keep_not_holding]) ).

fof(c_0_150,plain,
    ! [X145,X146,X147] :
      ( ~ happens(X145,X146)
      | ~ terminates(X145,X147,X146)
      | ~ holdsAt(X147,plus(X146,n1)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_136])]) ).

cnf(c_0_151,plain,
    ( esk3_3(X1,X2,waterLevel(X3)) = overflow
    | ~ startedIn(X1,waterLevel(X3),X2) ),
    inference(spm,[status(thm)],[c_0_137,c_0_138]) ).

cnf(c_0_152,plain,
    ( startedIn(X1,X2,X3)
    | ~ startedIn(X4,X2,X5)
    | ~ less(X1,esk4_3(X4,X5,X2))
    | ~ less(esk4_3(X4,X5,X2),X3) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_123]),c_0_106]) ).

cnf(c_0_153,plain,
    ( less(X1,esk4_3(X1,X2,X3))
    | ~ startedIn(X1,X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_92]) ).

cnf(c_0_154,plain,
    ( X1 = n2
    | X1 = n1
    | less(X1,n1)
    | ~ less(X1,n3) ),
    inference(spm,[status(thm)],[c_0_95,c_0_140]) ).

cnf(c_0_155,plain,
    ( esk4_3(X1,n1,X2) = n0
    | ~ startedIn(X1,X2,n1) ),
    inference(spm,[status(thm)],[c_0_78,c_0_141]) ).

cnf(c_0_156,plain,
    ( epred1_3(waterLevel(X1),overflow,X2)
    | ~ holdsAt(waterLevel(X1),X2) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_142])]) ).

cnf(c_0_157,plain,
    ( holdsAt(waterLevel(n3),n1)
    | holdsAt(filling,n2)
    | ~ less(X1,n1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_144]),c_0_145])]) ).

cnf(c_0_158,plain,
    ( holdsAt(waterLevel(n1),plus(X1,n1))
    | stoppedIn(X1,filling,plus(X1,n1))
    | ~ holdsAt(waterLevel(n0),X1)
    | ~ initiates(X2,filling,X1)
    | ~ happens(X2,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_147]),c_0_148])]) ).

cnf(c_0_159,hypothesis,
    holdsAt(waterLevel(n0),n0),
    inference(split_conjunct,[status(thm)],[waterLevel_0]) ).

fof(c_0_160,plain,
    ! [X133,X134] :
      ( ( happens(esk6_2(X133,X134),X134)
        | holdsAt(X133,X134)
        | releasedAt(X133,plus(X134,n1))
        | ~ holdsAt(X133,plus(X134,n1)) )
      & ( initiates(esk6_2(X133,X134),X133,X134)
        | holdsAt(X133,X134)
        | releasedAt(X133,plus(X134,n1))
        | ~ holdsAt(X133,plus(X134,n1)) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_149])])])]) ).

fof(c_0_161,hypothesis,
    ~ holdsAt(filling,n0),
    inference(fof_simplification,[status(thm)],[not_filling_0]) ).

cnf(c_0_162,plain,
    ( ~ happens(X1,X2)
    | ~ terminates(X1,X3,X2)
    | ~ holdsAt(X3,plus(X2,n1)) ),
    inference(split_conjunct,[status(thm)],[c_0_150]) ).

cnf(c_0_163,plain,
    ( happens(overflow,esk4_3(X1,X2,waterLevel(X3)))
    | ~ startedIn(X1,waterLevel(X3),X2) ),
    inference(spm,[status(thm)],[c_0_106,c_0_151]) ).

cnf(c_0_164,plain,
    ( startedIn(X1,X2,X3)
    | ~ startedIn(X1,X2,X4)
    | ~ less(esk4_3(X1,X4,X2),X3) ),
    inference(spm,[status(thm)],[c_0_152,c_0_153]) ).

cnf(c_0_165,plain,
    ( esk4_3(X1,n3,X2) = n1
    | esk4_3(X1,n3,X2) = n2
    | less(esk4_3(X1,n3,X2),n1)
    | ~ startedIn(X1,X2,n3) ),
    inference(spm,[status(thm)],[c_0_154,c_0_141]) ).

cnf(c_0_166,plain,
    ~ startedIn(X1,X2,n1),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_153,c_0_155]),c_0_66]) ).

cnf(c_0_167,plain,
    ( holdsAt(waterLevel(X1),plus(X2,n1))
    | ~ holdsAt(waterLevel(X1),X2)
    | ~ happens(overflow,X2) ),
    inference(spm,[status(thm)],[c_0_98,c_0_156]) ).

cnf(c_0_168,plain,
    ( holdsAt(waterLevel(n3),n1)
    | holdsAt(filling,n2) ),
    inference(spm,[status(thm)],[c_0_157,c_0_148]) ).

cnf(c_0_169,plain,
    ( happens(X2,X1)
    | ~ holdsAt(waterLevel(n3),X1)
    | ~ holdsAt(filling,X1)
    | X2 != overflow ),
    inference(split_conjunct,[status(thm)],[c_0_35]) ).

cnf(c_0_170,hypothesis,
    ( holdsAt(waterLevel(n1),n1)
    | ~ initiates(X1,filling,n0)
    | ~ happens(X1,n0) ),
    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_158,c_0_159]),c_0_57]),c_0_72]),c_0_57]),c_0_72]),c_0_112]) ).

cnf(c_0_171,plain,
    ( initiates(esk6_2(X1,X2),X1,X2)
    | holdsAt(X1,X2)
    | releasedAt(X1,plus(X2,n1))
    | ~ holdsAt(X1,plus(X2,n1)) ),
    inference(split_conjunct,[status(thm)],[c_0_160]) ).

cnf(c_0_172,hypothesis,
    ~ holdsAt(filling,n0),
    inference(split_conjunct,[status(thm)],[c_0_161]) ).

cnf(c_0_173,plain,
    ( holdsAt(filling,X1)
    | X2 = tapOn
    | ~ happens(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_35]) ).

cnf(c_0_174,plain,
    ( happens(esk6_2(X1,X2),X2)
    | holdsAt(X1,X2)
    | releasedAt(X1,plus(X2,n1))
    | ~ holdsAt(X1,plus(X2,n1)) ),
    inference(split_conjunct,[status(thm)],[c_0_160]) ).

cnf(c_0_175,plain,
    ( ~ holdsAt(filling,plus(X1,n1))
    | ~ happens(overflow,X1) ),
    inference(spm,[status(thm)],[c_0_162,c_0_61]) ).

cnf(c_0_176,plain,
    ( holdsAt(waterLevel(n3),esk4_3(X1,X2,waterLevel(X3)))
    | ~ startedIn(X1,waterLevel(X3),X2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_163]),c_0_109]) ).

cnf(c_0_177,plain,
    ( esk4_3(X1,n3,X2) = n2
    | esk4_3(X1,n3,X2) = n1
    | ~ startedIn(X1,X2,n3) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_164,c_0_165]),c_0_166]) ).

cnf(c_0_178,plain,
    ( holdsAt(waterLevel(n3),n2)
    | holdsAt(filling,n2)
    | ~ happens(overflow,n1) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_168]),c_0_117]) ).

cnf(c_0_179,plain,
    ( happens(overflow,X1)
    | ~ holdsAt(waterLevel(n3),X1)
    | ~ holdsAt(filling,X1) ),
    inference(er,[status(thm)],[c_0_169]) ).

cnf(c_0_180,plain,
    ( startedIn(X1,X2,X3)
    | ~ epred1_3(X2,X4,X5)
    | ~ less(X1,X5)
    | ~ less(X5,X3)
    | ~ happens(X4,X5) ),
    inference(spm,[status(thm)],[c_0_139,c_0_82]) ).

cnf(c_0_181,hypothesis,
    ( holdsAt(waterLevel(n1),n1)
    | ~ happens(esk6_2(filling,n0),n0) ),
    inference(sr,[status(thm)],[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_170,c_0_171]),c_0_57]),c_0_72]),c_0_57]),c_0_72]),c_0_129])]),c_0_118]),c_0_172]) ).

cnf(c_0_182,plain,
    ( esk6_2(X1,X2) = tapOn
    | releasedAt(X1,plus(X2,n1))
    | holdsAt(filling,X2)
    | holdsAt(X1,X2)
    | ~ holdsAt(X1,plus(X2,n1)) ),
    inference(spm,[status(thm)],[c_0_173,c_0_174]) ).

cnf(c_0_183,plain,
    ( less(X1,n3)
    | ~ less_or_equal(X1,n2) ),
    inference(split_conjunct,[status(thm)],[c_0_107]) ).

cnf(c_0_184,plain,
    ( less_or_equal(X1,X2)
    | ~ less(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_51]) ).

cnf(c_0_185,plain,
    ( ~ holdsAt(filling,plus(n1,esk4_3(X1,X2,waterLevel(X3))))
    | ~ startedIn(X1,waterLevel(X3),X2) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_175,c_0_163]),c_0_57]) ).

cnf(c_0_186,plain,
    ( esk4_3(X1,n3,waterLevel(X2)) = n1
    | holdsAt(waterLevel(n3),n2)
    | ~ startedIn(X1,waterLevel(X2),n3) ),
    inference(spm,[status(thm)],[c_0_176,c_0_177]) ).

cnf(c_0_187,plain,
    ( holdsAt(waterLevel(n3),n2)
    | holdsAt(filling,n2) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_178,c_0_179]),c_0_129])]),c_0_168]) ).

cnf(c_0_188,plain,
    ( startedIn(X1,waterLevel(X2),X3)
    | ~ holdsAt(waterLevel(X2),X4)
    | ~ less(X1,X4)
    | ~ less(X4,X3)
    | ~ happens(overflow,X4) ),
    inference(spm,[status(thm)],[c_0_180,c_0_156]) ).

cnf(c_0_189,hypothesis,
    holdsAt(waterLevel(n1),n1),
    inference(sr,[status(thm)],[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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_181,c_0_182]),c_0_57]),c_0_72]),c_0_103]),c_0_57]),c_0_72]),c_0_129])]),c_0_118]),c_0_172]) ).

cnf(c_0_190,plain,
    ( less(X1,n3)
    | ~ less(X1,n2) ),
    inference(spm,[status(thm)],[c_0_183,c_0_184]) ).

cnf(c_0_191,plain,
    ( holdsAt(waterLevel(n3),n2)
    | ~ startedIn(X1,waterLevel(X2),n3) ),
    inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_186]),c_0_117]),c_0_187]) ).

cnf(c_0_192,plain,
    ( startedIn(X1,waterLevel(n1),X2)
    | ~ less(X1,n1)
    | ~ less(n1,X2)
    | ~ happens(overflow,n1) ),
    inference(spm,[status(thm)],[c_0_188,c_0_189]) ).

cnf(c_0_193,plain,
    less(n1,n3),
    inference(spm,[status(thm)],[c_0_190,c_0_145]) ).

cnf(c_0_194,plain,
    ( ~ releasedAt(X1,n2)
    | ~ initiates(X2,X1,n1)
    | ~ happens(X2,n1) ),
    inference(spm,[status(thm)],[c_0_56,c_0_117]) ).

cnf(c_0_195,plain,
    ( holdsAt(waterLevel(n3),n2)
    | ~ less(X1,n1)
    | ~ happens(overflow,n1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_191,c_0_192]),c_0_193])]) ).

cnf(c_0_196,plain,
    ( ~ epred1_3(X1,X2,n1)
    | ~ releasedAt(X1,n2)
    | ~ happens(X2,n1) ),
    inference(spm,[status(thm)],[c_0_194,c_0_82]) ).

cnf(c_0_197,plain,
    ( X1 = tapOn
    | ~ releases(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_59]) ).

cnf(c_0_198,plain,
    ( holdsAt(waterLevel(n3),n2)
    | ~ holdsAt(waterLevel(n3),n1)
    | ~ less(X1,n1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_195,c_0_179]),c_0_129])]) ).

fof(c_0_199,negated_conjecture,
    ~ holdsAt(waterLevel(n3),n3),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[waterLevel_3])]) ).

cnf(c_0_200,plain,
    ( ~ holdsAt(X1,plus(n1,esk2_3(X2,X1,X3)))
    | ~ stoppedIn(X2,X1,X3) ),
    inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_162,c_0_42]),c_0_57]),c_0_40]) ).

cnf(c_0_201,plain,
    ( holdsAt(waterLevel(n3),plus(n1,esk2_3(X1,X2,X3)))
    | ~ stoppedIn(X1,X2,X3) ),
    inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_126]),c_0_57]),c_0_76]) ).

cnf(c_0_202,plain,
    ( X1 = waterLevel(esk11_3(X2,X3,X1))
    | X1 = waterLevel(esk10_3(X2,X3,X1))
    | X1 = spilling
    | X3 = tapOn
    | ~ epred1_3(X1,X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_69]) ).

cnf(c_0_203,plain,
    filling != spilling,
    inference(split_conjunct,[status(thm)],[filling_not_spilling]) ).

cnf(c_0_204,plain,
    ( epred1_3(X2,X1,X3)
    | ~ initiates(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_68]) ).

cnf(c_0_205,plain,
    ( ~ releasedAt(waterLevel(X1),n2)
    | ~ holdsAt(waterLevel(X1),n1)
    | ~ happens(overflow,n1) ),
    inference(spm,[status(thm)],[c_0_196,c_0_156]) ).

cnf(c_0_206,plain,
    ( happens(esk8_2(X1,X2),X2)
    | releasedAt(X1,X2)
    | ~ releasedAt(X1,plus(X2,n1)) ),
    inference(split_conjunct,[status(thm)],[c_0_70]) ).

cnf(c_0_207,plain,
    ( esk8_2(X1,X2) = tapOn
    | releasedAt(X1,X2)
    | ~ releasedAt(X1,plus(X2,n1)) ),
    inference(spm,[status(thm)],[c_0_197,c_0_86]) ).

cnf(c_0_208,plain,
    ( holdsAt(waterLevel(n3),n2)
    | ~ holdsAt(waterLevel(n3),n1) ),
    inference(spm,[status(thm)],[c_0_198,c_0_148]) ).

cnf(c_0_209,plain,
    plus(n1,n2) = n3,
    inference(split_conjunct,[status(thm)],[plus1_2]) ).

cnf(c_0_210,negated_conjecture,
    ~ holdsAt(waterLevel(n3),n3),
    inference(split_conjunct,[status(thm)],[c_0_199]) ).

cnf(c_0_211,plain,
    ~ stoppedIn(X1,waterLevel(n3),X2),
    inference(spm,[status(thm)],[c_0_200,c_0_201]) ).

cnf(c_0_212,plain,
    ( X1 = overflow
    | X2 = n0
    | ~ happens(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_35]) ).

cnf(c_0_213,plain,
    ( X1 = tapOn
    | ~ epred1_3(filling,X1,X2) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_202])]),c_0_100]),c_0_203]) ).

cnf(c_0_214,plain,
    ( epred1_3(X1,esk3_3(X2,X3,X1),esk4_3(X2,X3,X1))
    | ~ startedIn(X2,X1,X3) ),
    inference(spm,[status(thm)],[c_0_204,c_0_123]) ).

cnf(c_0_215,plain,
    ( releasedAt(X1,X2)
    | ~ releasedAt(X1,plus(X2,n1))
    | ~ releasedAt(X1,n2)
    | ~ holdsAt(X1,n1)
    | ~ happens(overflow,n1) ),
    inference(spm,[status(thm)],[c_0_205,c_0_101]) ).

cnf(c_0_216,plain,
    ( releasedAt(X1,X2)
    | happens(tapOn,X2)
    | ~ releasedAt(X1,plus(X2,n1)) ),
    inference(spm,[status(thm)],[c_0_206,c_0_207]) ).

cnf(c_0_217,plain,
    ( releasedAt(waterLevel(n3),n3)
    | ~ holdsAt(waterLevel(n3),n1)
    | ~ less(X1,n2)
    | ~ less(n2,X2) ),
    inference(sr,[status(thm)],[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_128,c_0_208]),c_0_57]),c_0_209]),c_0_57]),c_0_209]),c_0_210]),c_0_211]) ).

fof(c_0_218,plain,
    ! [X189] :
      ( ( ~ less(X189,n4)
        | less_or_equal(X189,n3) )
      & ( ~ less_or_equal(X189,n3)
        | less(X189,n4) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[less4])]) ).

cnf(c_0_219,plain,
    ( esk3_3(X1,X2,X3) = overflow
    | esk4_3(X1,X2,X3) = n0
    | ~ startedIn(X1,X3,X2) ),
    inference(spm,[status(thm)],[c_0_212,c_0_106]) ).

cnf(c_0_220,plain,
    ( esk3_3(X1,X2,filling) = tapOn
    | ~ startedIn(X1,filling,X2) ),
    inference(spm,[status(thm)],[c_0_213,c_0_214]) ).

cnf(c_0_221,plain,
    ( releasedAt(X1,X2)
    | ~ releasedAt(X1,plus(n1,X2))
    | ~ releasedAt(X1,n2)
    | ~ holdsAt(X1,n1)
    | ~ happens(overflow,n1) ),
    inference(spm,[status(thm)],[c_0_215,c_0_57]) ).

cnf(c_0_222,plain,
    ( releasedAt(X1,n1)
    | ~ releasedAt(X1,n2)
    | ~ holdsAt(X1,n1)
    | ~ happens(overflow,n1) ),
    inference(spm,[status(thm)],[c_0_215,c_0_117]) ).

cnf(c_0_223,plain,
    ( releasedAt(X1,X2)
    | happens(tapOn,X2)
    | ~ releasedAt(X1,plus(n1,X2)) ),
    inference(spm,[status(thm)],[c_0_216,c_0_57]) ).

cnf(c_0_224,plain,
    ( releasedAt(waterLevel(n3),n3)
    | holdsAt(filling,n2)
    | ~ less(X1,n2)
    | ~ less(n2,X2) ),
    inference(spm,[status(thm)],[c_0_217,c_0_168]) ).

cnf(c_0_225,plain,
    ( less(X1,n4)
    | ~ less_or_equal(X1,n3) ),
    inference(split_conjunct,[status(thm)],[c_0_218]) ).

fof(c_0_226,hypothesis,
    ! [X9] : ~ releasedAt(waterLevel(X9),n0),
    inference(fof_simplification,[status(thm)],[not_released_waterLevel_0]) ).

cnf(c_0_227,plain,
    ( happens(overflow,n1)
    | ~ stoppedIn(X1,X2,n2) ),
    inference(spm,[status(thm)],[c_0_76,c_0_127]) ).

cnf(c_0_228,plain,
    ( esk4_3(X1,X2,filling) = n0
    | ~ startedIn(X1,filling,X2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_219,c_0_220]),c_0_109]) ).

cnf(c_0_229,plain,
    ( releasedAt(X1,n0)
    | ~ releasedAt(X1,n2)
    | ~ holdsAt(X1,n1)
    | ~ happens(overflow,n1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_221,c_0_72]),c_0_222]) ).

cnf(c_0_230,plain,
    ( releasedAt(X1,n2)
    | happens(tapOn,n2)
    | ~ releasedAt(X1,n3) ),
    inference(spm,[status(thm)],[c_0_223,c_0_209]) ).

cnf(c_0_231,plain,
    ( releasedAt(waterLevel(n3),n3)
    | holdsAt(filling,n2)
    | ~ less(n2,X1) ),
    inference(spm,[status(thm)],[c_0_224,c_0_145]) ).

cnf(c_0_232,plain,
    ( less(X1,n4)
    | ~ less(X1,n3) ),
    inference(spm,[status(thm)],[c_0_225,c_0_184]) ).

cnf(c_0_233,plain,
    less(n2,n3),
    inference(spm,[status(thm)],[c_0_183,c_0_132]) ).

fof(c_0_234,hypothesis,
    ! [X197] : ~ releasedAt(waterLevel(X197),n0),
    inference(variable_rename,[status(thm)],[c_0_226]) ).

cnf(c_0_235,plain,
    ( holdsAt(filling,n2)
    | happens(overflow,n1)
    | ~ less(X1,n1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_227,c_0_144]),c_0_145])]) ).

cnf(c_0_236,plain,
    ~ startedIn(X1,filling,X2),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_153,c_0_228]),c_0_66]) ).

cnf(c_0_237,plain,
    ( releasedAt(X1,n0)
    | happens(tapOn,n2)
    | ~ releasedAt(X1,n3)
    | ~ holdsAt(X1,n1)
    | ~ happens(overflow,n1) ),
    inference(spm,[status(thm)],[c_0_229,c_0_230]) ).

cnf(c_0_238,plain,
    ( releasedAt(waterLevel(n3),n3)
    | holdsAt(filling,n2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_231,c_0_232]),c_0_233])]) ).

cnf(c_0_239,hypothesis,
    ~ releasedAt(waterLevel(X1),n0),
    inference(split_conjunct,[status(thm)],[c_0_234]) ).

cnf(c_0_240,plain,
    ( holdsAt(filling,n2)
    | happens(overflow,n1) ),
    inference(spm,[status(thm)],[c_0_235,c_0_148]) ).

cnf(c_0_241,plain,
    ( esk2_3(X1,X2,n3) = n1
    | esk2_3(X1,X2,n3) = n2
    | less(esk2_3(X1,X2,n3),n1)
    | ~ stoppedIn(X1,X2,n3) ),
    inference(spm,[status(thm)],[c_0_154,c_0_79]) ).

cnf(c_0_242,plain,
    ( ~ less(X1,X2)
    | ~ less(X2,X3)
    | ~ happens(tapOn,X2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_180,c_0_99]),c_0_236]) ).

cnf(c_0_243,plain,
    ( holdsAt(filling,n2)
    | happens(tapOn,n2) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_237,c_0_238]),c_0_239]),c_0_240]),c_0_168]) ).

cnf(c_0_244,plain,
    plus(n0,n3) = n3,
    inference(split_conjunct,[status(thm)],[plus0_3]) ).

cnf(c_0_245,plain,
    ( esk2_3(X1,X2,n3) = n2
    | esk2_3(X1,X2,n3) = n1
    | ~ stoppedIn(X1,X2,n3) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_241]),c_0_112]) ).

cnf(c_0_246,plain,
    ( holdsAt(filling,n2)
    | ~ less(X1,n2)
    | ~ less(n2,X2) ),
    inference(spm,[status(thm)],[c_0_242,c_0_243]) ).

cnf(c_0_247,plain,
    ( trajectory(filling,X1,waterLevel(n3),n3)
    | ~ holdsAt(waterLevel(n0),X1) ),
    inference(spm,[status(thm)],[c_0_121,c_0_244]) ).

cnf(c_0_248,plain,
    ( less(X1,n2)
    | ~ less(X1,n1) ),
    inference(spm,[status(thm)],[c_0_131,c_0_184]) ).

cnf(c_0_249,plain,
    ( ~ holdsAt(filling,plus(n1,esk2_3(X1,X2,X3)))
    | ~ stoppedIn(X1,X2,X3) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_175,c_0_76]),c_0_57]) ).

cnf(c_0_250,plain,
    ( esk2_3(X1,X2,n3) = n1
    | ~ stoppedIn(X1,X2,n3) ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_201,c_0_245]),c_0_209]),c_0_210]) ).

cnf(c_0_251,plain,
    ( holdsAt(filling,n2)
    | ~ less(n2,X1) ),
    inference(spm,[status(thm)],[c_0_246,c_0_145]) ).

cnf(c_0_252,plain,
    ( holdsAt(waterLevel(n3),plus(X1,n3))
    | stoppedIn(X1,filling,plus(X1,n3))
    | ~ holdsAt(waterLevel(n0),X1)
    | ~ initiates(X2,filling,X1)
    | ~ less(n0,n3)
    | ~ happens(X2,X1) ),
    inference(spm,[status(thm)],[c_0_146,c_0_247]) ).

cnf(c_0_253,plain,
    ( less(X1,n3)
    | ~ less(X1,n1) ),
    inference(spm,[status(thm)],[c_0_190,c_0_248]) ).

cnf(c_0_254,plain,
    ( ~ holdsAt(filling,n2)
    | ~ stoppedIn(X1,X2,n3) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_249,c_0_250]),c_0_117]) ).

cnf(c_0_255,plain,
    holdsAt(filling,n2),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_251,c_0_232]),c_0_233])]) ).

cnf(c_0_256,plain,
    ( holdsAt(waterLevel(n3),plus(X1,n3))
    | stoppedIn(X1,filling,plus(X1,n3))
    | ~ holdsAt(waterLevel(n0),X1)
    | ~ initiates(X2,filling,X1)
    | ~ happens(X2,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_252,c_0_253]),c_0_148])]) ).

cnf(c_0_257,plain,
    ~ stoppedIn(X1,X2,n3),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_254,c_0_255])]) ).

cnf(c_0_258,hypothesis,
    ( ~ initiates(X1,filling,n0)
    | ~ happens(X1,n0) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_256,c_0_159]),c_0_244]),c_0_244]),c_0_210]),c_0_257]) ).

cnf(c_0_259,hypothesis,
    ~ happens(esk6_2(filling,n0),n0),
    inference(sr,[status(thm)],[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_258,c_0_171]),c_0_57]),c_0_72]),c_0_57]),c_0_72]),c_0_129])]),c_0_118]),c_0_172]) ).

cnf(c_0_260,hypothesis,
    $false,
    inference(sr,[status(thm)],[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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_259,c_0_182]),c_0_57]),c_0_72]),c_0_103]),c_0_57]),c_0_72]),c_0_129])]),c_0_118]),c_0_172]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : CSR006+1 : TPTP v9.2.1. Bugfixed v3.1.0.
% 0.00/0.12  % Command    : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.16/0.33  % Computer : n015.cluster.edu
% 0.16/0.33  % Model    : x86_64 x86_64
% 0.16/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33  % Memory   : 8042.1875MB
% 0.16/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33  % CPULimit   : 300
% 0.16/0.33  % WCLimit    : 300
% 0.16/0.33  % DateTime   : Mon May  4 16:26:17 EDT 2026
% 0.16/0.33  % CPUTime    : 
% 0.16/0.34  % start to proof: theBenchmark
% 19.46/11.98  % Version  : CSE_E---1.7
% 19.46/11.98  % Problem  : theBenchmark.p
% 19.46/11.98  % SZS status Theorem for theBenchmark.p
% 19.46/11.98  % SZS output start CNFRefutation
% See solution above
% 19.58/12.04  % Total time : 9.385s
%------------------------------------------------------------------------------