TSTP Solution File: CSR011+1 by E-SAT---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1.00
% Problem  : CSR011+1 : TPTP v8.1.2. Bugfixed v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n020.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 : Sat May  4 07:35:02 EDT 2024

% Result   : Theorem 21.88s 3.20s
% Output   : CNFRefutation 21.88s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :   35
% Syntax   : Number of formulae    :  229 (  65 unt;   0 def)
%            Number of atoms       :  876 ( 304 equ)
%            Maximal formula atoms :  194 (   3 avg)
%            Number of connectives :  997 ( 350   ~; 488   |; 130   &)
%                                         (  14 <=>;  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    :   21 (  21 usr;   9 con; 0-3 aty)
%            Number of variables   :  433 (  23 sgn 157   !;  16   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(less_or_equal,axiom,
    ! [X12,X13] :
      ( less_or_equal(X12,X13)
    <=> ( less(X12,X13)
        | X12 = X13 ) ),
    file('/export/starexec/sandbox/tmp/tmp.XFUy1lHUsm/E---3.1_10741.p',less_or_equal) ).

fof(less3,axiom,
    ! [X12] :
      ( less(X12,n3)
    <=> less_or_equal(X12,n2) ),
    file('/export/starexec/sandbox/tmp/tmp.XFUy1lHUsm/E---3.1_10741.p',less3) ).

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/tmp/tmp.XFUy1lHUsm/E---3.1_10741.p',initiates_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/tmp/tmp.XFUy1lHUsm/E---3.1_10741.p',happens_not_released) ).

fof(less2,axiom,
    ! [X12] :
      ( less(X12,n2)
    <=> less_or_equal(X12,n1) ),
    file('/export/starexec/sandbox/tmp/tmp.XFUy1lHUsm/E---3.1_10741.p',less2) ).

fof(less1,axiom,
    ! [X12] :
      ( less(X12,n1)
    <=> less_or_equal(X12,n0) ),
    file('/export/starexec/sandbox/tmp/tmp.XFUy1lHUsm/E---3.1_10741.p',less1) ).

fof(less0,axiom,
    ~ ? [X12] : less(X12,n0),
    file('/export/starexec/sandbox/tmp/tmp.XFUy1lHUsm/E---3.1_10741.p',less0) ).

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/tmp/tmp.XFUy1lHUsm/E---3.1_10741.p',keep_not_released) ).

fof(happens_holds,axiom,
    ! [X4,X5,X2] :
      ( ( happens(X4,X5)
        & initiates(X4,X2,X5) )
     => holdsAt(X2,plus(X5,n1)) ),
    file('/export/starexec/sandbox/tmp/tmp.XFUy1lHUsm/E---3.1_10741.p',happens_holds) ).

fof(symmetry_of_plus,axiom,
    ! [X12,X13] : plus(X12,X13) = plus(X13,X12),
    file('/export/starexec/sandbox/tmp/tmp.XFUy1lHUsm/E---3.1_10741.p',symmetry_of_plus) ).

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/tmp/tmp.XFUy1lHUsm/E---3.1_10741.p',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/tmp/tmp.XFUy1lHUsm/E---3.1_10741.p',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/tmp/tmp.XFUy1lHUsm/E---3.1_10741.p',terminates_all_defn) ).

fof(tapOff_not_overflow,axiom,
    tapOff != overflow,
    file('/export/starexec/sandbox/tmp/tmp.XFUy1lHUsm/E---3.1_10741.p',tapOff_not_overflow) ).

fof(tapOff_not_tapOn,axiom,
    tapOff != tapOn,
    file('/export/starexec/sandbox/tmp/tmp.XFUy1lHUsm/E---3.1_10741.p',tapOff_not_tapOn) ).

fof(filling_not_waterLevel,axiom,
    ! [X12] : filling != waterLevel(X12),
    file('/export/starexec/sandbox/tmp/tmp.XFUy1lHUsm/E---3.1_10741.p',filling_not_waterLevel) ).

fof(releases_all_defn,axiom,
    ! [X4,X2,X5] :
      ( releases(X4,X2,X5)
    <=> ? [X9] :
          ( X4 = tapOn
          & X2 = waterLevel(X9) ) ),
    file('/export/starexec/sandbox/tmp/tmp.XFUy1lHUsm/E---3.1_10741.p',releases_all_defn) ).

fof(plus0_1,axiom,
    plus(n0,n1) = n1,
    file('/export/starexec/sandbox/tmp/tmp.XFUy1lHUsm/E---3.1_10741.p',plus0_1) ).

fof(same_waterLevel,axiom,
    ! [X5,X10,X11] :
      ( ( holdsAt(waterLevel(X10),X5)
        & holdsAt(waterLevel(X11),X5) )
     => X10 = X11 ),
    file('/export/starexec/sandbox/tmp/tmp.XFUy1lHUsm/E---3.1_10741.p',same_waterLevel) ).

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/tmp/tmp.XFUy1lHUsm/E---3.1_10741.p',keep_holding) ).

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/tmp/tmp.XFUy1lHUsm/E---3.1_10741.p',keep_not_holding) ).

fof(waterLevel_0,hypothesis,
    holdsAt(waterLevel(n0),n0),
    file('/export/starexec/sandbox/tmp/tmp.XFUy1lHUsm/E---3.1_10741.p',waterLevel_0) ).

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/tmp/tmp.XFUy1lHUsm/E---3.1_10741.p',happens_terminates_not_holds) ).

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/tmp/tmp.XFUy1lHUsm/E---3.1_10741.p',change_of_waterLevel) ).

fof(not_released_filling_0,hypothesis,
    ~ releasedAt(filling,n0),
    file('/export/starexec/sandbox/tmp/tmp.XFUy1lHUsm/E---3.1_10741.p',not_released_filling_0) ).

fof(not_filling_0,hypothesis,
    ~ holdsAt(filling,n0),
    file('/export/starexec/sandbox/tmp/tmp.XFUy1lHUsm/E---3.1_10741.p',not_filling_0) ).

fof(filling_not_spilling,axiom,
    filling != spilling,
    file('/export/starexec/sandbox/tmp/tmp.XFUy1lHUsm/E---3.1_10741.p',filling_not_spilling) ).

fof(overflow_not_tapOn,axiom,
    overflow != tapOn,
    file('/export/starexec/sandbox/tmp/tmp.XFUy1lHUsm/E---3.1_10741.p',overflow_not_tapOn) ).

fof(plus1_1,axiom,
    plus(n1,n1) = n2,
    file('/export/starexec/sandbox/tmp/tmp.XFUy1lHUsm/E---3.1_10741.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/tmp/tmp.XFUy1lHUsm/E---3.1_10741.p',change_holding) ).

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/tmp/tmp.XFUy1lHUsm/E---3.1_10741.p',startedin_defn) ).

fof(not_stopped_filling_0_3,conjecture,
    ~ stoppedIn(n0,filling,n3),
    file('/export/starexec/sandbox/tmp/tmp.XFUy1lHUsm/E---3.1_10741.p',not_stopped_filling_0_3) ).

fof(plus0_2,axiom,
    plus(n0,n2) = n2,
    file('/export/starexec/sandbox/tmp/tmp.XFUy1lHUsm/E---3.1_10741.p',plus0_2) ).

fof(less_property,axiom,
    ! [X12,X13] :
      ( less(X12,X13)
    <=> ( ~ less(X13,X12)
        & X13 != X12 ) ),
    file('/export/starexec/sandbox/tmp/tmp.XFUy1lHUsm/E---3.1_10741.p',less_property) ).

fof(c_0_34,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_35,plain,
    ! [X97,X98] :
      ( ( ~ less_or_equal(X97,X98)
        | less(X97,X98)
        | X97 = X98 )
      & ( ~ less(X97,X98)
        | less_or_equal(X97,X98) )
      & ( 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_36,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_37,axiom,
    ! [X4,X2,X5] :
      ( initiates(X4,X2,X5)
    <=> epred1_3(X2,X4,X5) ),
    inference(apply_def,[status(thm)],[initiates_all_defn,c_0_34]) ).

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]) ).

fof(c_0_39,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_40,plain,
    ( less(X1,X2)
    | X1 = X2
    | ~ less_or_equal(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_35]) ).

cnf(c_0_41,plain,
    ( less_or_equal(X1,n2)
    | ~ less(X1,n3) ),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

fof(c_0_42,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_43,plain,
    ! [X99] : ~ less(X99,n0),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[less0])])]) ).

fof(c_0_44,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]) ).

fof(c_0_45,plain,
    ! [X56,X57,X58] :
      ( ~ happens(X56,X57)
      | ~ initiates(X56,X58,X57)
      | holdsAt(X58,plus(X57,n1)) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[happens_holds])])]) ).

fof(c_0_46,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_37])])]) ).

fof(c_0_47,plain,
    ! [X112,X113,X114,X117,X118,X119,X120,X121] :
      ( ( holdsAt(waterLevel(esk11_3(X112,X113,X114)),X112)
        | holdsAt(waterLevel(esk10_3(X112,X113,X114)),X112)
        | X113 = overflow
        | X113 = tapOn
        | ~ epred1_3(X114,X113,X112) )
      & ( X113 = overflow
        | holdsAt(waterLevel(esk10_3(X112,X113,X114)),X112)
        | X113 = overflow
        | X113 = tapOn
        | ~ epred1_3(X114,X113,X112) )
      & ( X114 = waterLevel(esk11_3(X112,X113,X114))
        | holdsAt(waterLevel(esk10_3(X112,X113,X114)),X112)
        | X113 = overflow
        | X113 = tapOn
        | ~ epred1_3(X114,X113,X112) )
      & ( holdsAt(waterLevel(esk11_3(X112,X113,X114)),X112)
        | X113 = tapOff
        | X113 = overflow
        | X113 = tapOn
        | ~ epred1_3(X114,X113,X112) )
      & ( X113 = overflow
        | X113 = tapOff
        | X113 = overflow
        | X113 = tapOn
        | ~ epred1_3(X114,X113,X112) )
      & ( X114 = waterLevel(esk11_3(X112,X113,X114))
        | X113 = tapOff
        | X113 = overflow
        | X113 = tapOn
        | ~ epred1_3(X114,X113,X112) )
      & ( holdsAt(waterLevel(esk11_3(X112,X113,X114)),X112)
        | X114 = waterLevel(esk10_3(X112,X113,X114))
        | X113 = overflow
        | X113 = tapOn
        | ~ epred1_3(X114,X113,X112) )
      & ( X113 = overflow
        | X114 = waterLevel(esk10_3(X112,X113,X114))
        | X113 = overflow
        | X113 = tapOn
        | ~ epred1_3(X114,X113,X112) )
      & ( X114 = waterLevel(esk11_3(X112,X113,X114))
        | X114 = waterLevel(esk10_3(X112,X113,X114))
        | X113 = overflow
        | X113 = tapOn
        | ~ epred1_3(X114,X113,X112) )
      & ( holdsAt(waterLevel(esk11_3(X112,X113,X114)),X112)
        | holdsAt(waterLevel(esk10_3(X112,X113,X114)),X112)
        | X114 = spilling
        | X113 = tapOn
        | ~ epred1_3(X114,X113,X112) )
      & ( X113 = overflow
        | holdsAt(waterLevel(esk10_3(X112,X113,X114)),X112)
        | X114 = spilling
        | X113 = tapOn
        | ~ epred1_3(X114,X113,X112) )
      & ( X114 = waterLevel(esk11_3(X112,X113,X114))
        | holdsAt(waterLevel(esk10_3(X112,X113,X114)),X112)
        | X114 = spilling
        | X113 = tapOn
        | ~ epred1_3(X114,X113,X112) )
      & ( holdsAt(waterLevel(esk11_3(X112,X113,X114)),X112)
        | X113 = tapOff
        | X114 = spilling
        | X113 = tapOn
        | ~ epred1_3(X114,X113,X112) )
      & ( X113 = overflow
        | X113 = tapOff
        | X114 = spilling
        | X113 = tapOn
        | ~ epred1_3(X114,X113,X112) )
      & ( X114 = waterLevel(esk11_3(X112,X113,X114))
        | X113 = tapOff
        | X114 = spilling
        | X113 = tapOn
        | ~ epred1_3(X114,X113,X112) )
      & ( holdsAt(waterLevel(esk11_3(X112,X113,X114)),X112)
        | X114 = waterLevel(esk10_3(X112,X113,X114))
        | X114 = spilling
        | X113 = tapOn
        | ~ epred1_3(X114,X113,X112) )
      & ( X113 = overflow
        | X114 = waterLevel(esk10_3(X112,X113,X114))
        | X114 = spilling
        | X113 = tapOn
        | ~ epred1_3(X114,X113,X112) )
      & ( X114 = waterLevel(esk11_3(X112,X113,X114))
        | X114 = waterLevel(esk10_3(X112,X113,X114))
        | X114 = spilling
        | X113 = tapOn
        | ~ epred1_3(X114,X113,X112) )
      & ( holdsAt(waterLevel(esk11_3(X112,X113,X114)),X112)
        | holdsAt(waterLevel(esk10_3(X112,X113,X114)),X112)
        | X113 = overflow
        | X114 = filling
        | ~ epred1_3(X114,X113,X112) )
      & ( X113 = overflow
        | holdsAt(waterLevel(esk10_3(X112,X113,X114)),X112)
        | X113 = overflow
        | X114 = filling
        | ~ epred1_3(X114,X113,X112) )
      & ( X114 = waterLevel(esk11_3(X112,X113,X114))
        | holdsAt(waterLevel(esk10_3(X112,X113,X114)),X112)
        | X113 = overflow
        | X114 = filling
        | ~ epred1_3(X114,X113,X112) )
      & ( holdsAt(waterLevel(esk11_3(X112,X113,X114)),X112)
        | X113 = tapOff
        | X113 = overflow
        | X114 = filling
        | ~ epred1_3(X114,X113,X112) )
      & ( X113 = overflow
        | X113 = tapOff
        | X113 = overflow
        | X114 = filling
        | ~ epred1_3(X114,X113,X112) )
      & ( X114 = waterLevel(esk11_3(X112,X113,X114))
        | X113 = tapOff
        | X113 = overflow
        | X114 = filling
        | ~ epred1_3(X114,X113,X112) )
      & ( holdsAt(waterLevel(esk11_3(X112,X113,X114)),X112)
        | X114 = waterLevel(esk10_3(X112,X113,X114))
        | X113 = overflow
        | X114 = filling
        | ~ epred1_3(X114,X113,X112) )
      & ( X113 = overflow
        | X114 = waterLevel(esk10_3(X112,X113,X114))
        | X113 = overflow
        | X114 = filling
        | ~ epred1_3(X114,X113,X112) )
      & ( X114 = waterLevel(esk11_3(X112,X113,X114))
        | X114 = waterLevel(esk10_3(X112,X113,X114))
        | X113 = overflow
        | X114 = filling
        | ~ epred1_3(X114,X113,X112) )
      & ( holdsAt(waterLevel(esk11_3(X112,X113,X114)),X112)
        | holdsAt(waterLevel(esk10_3(X112,X113,X114)),X112)
        | X114 = spilling
        | X114 = filling
        | ~ epred1_3(X114,X113,X112) )
      & ( X113 = overflow
        | holdsAt(waterLevel(esk10_3(X112,X113,X114)),X112)
        | X114 = spilling
        | X114 = filling
        | ~ epred1_3(X114,X113,X112) )
      & ( X114 = waterLevel(esk11_3(X112,X113,X114))
        | holdsAt(waterLevel(esk10_3(X112,X113,X114)),X112)
        | X114 = spilling
        | X114 = filling
        | ~ epred1_3(X114,X113,X112) )
      & ( holdsAt(waterLevel(esk11_3(X112,X113,X114)),X112)
        | X113 = tapOff
        | X114 = spilling
        | X114 = filling
        | ~ epred1_3(X114,X113,X112) )
      & ( X113 = overflow
        | X113 = tapOff
        | X114 = spilling
        | X114 = filling
        | ~ epred1_3(X114,X113,X112) )
      & ( X114 = waterLevel(esk11_3(X112,X113,X114))
        | X113 = tapOff
        | X114 = spilling
        | X114 = filling
        | ~ epred1_3(X114,X113,X112) )
      & ( holdsAt(waterLevel(esk11_3(X112,X113,X114)),X112)
        | X114 = waterLevel(esk10_3(X112,X113,X114))
        | X114 = spilling
        | X114 = filling
        | ~ epred1_3(X114,X113,X112) )
      & ( X113 = overflow
        | X114 = waterLevel(esk10_3(X112,X113,X114))
        | X114 = spilling
        | X114 = filling
        | ~ epred1_3(X114,X113,X112) )
      & ( X114 = waterLevel(esk11_3(X112,X113,X114))
        | X114 = waterLevel(esk10_3(X112,X113,X114))
        | X114 = spilling
        | X114 = filling
        | ~ epred1_3(X114,X113,X112) )
      & ( X118 != tapOn
        | X119 != filling
        | epred1_3(X119,X118,X117) )
      & ( X118 != overflow
        | X119 != spilling
        | epred1_3(X119,X118,X117) )
      & ( ~ holdsAt(waterLevel(X120),X117)
        | X118 != tapOff
        | X119 != waterLevel(X120)
        | epred1_3(X119,X118,X117) )
      & ( ~ holdsAt(waterLevel(X121),X117)
        | X118 != overflow
        | X119 != waterLevel(X121)
        | epred1_3(X119,X118,X117) ) ),
    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_34])])])])])])]) ).

fof(c_0_48,plain,
    ! [X65,X66,X67] :
      ( ( ~ initiates(X65,X67,X66)
        | ~ happens(X65,X66)
        | ~ releasedAt(X67,plus(X66,n1)) )
      & ( ~ terminates(X65,X67,X66)
        | ~ happens(X65,X66)
        | ~ releasedAt(X67,plus(X66,n1)) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_38])])])]) ).

fof(c_0_49,plain,
    ! [X95,X96] : plus(X95,X96) = plus(X96,X95),
    inference(variable_rename,[status(thm)],[symmetry_of_plus]) ).

fof(c_0_50,plain,
    ! [X82,X83] :
      ( ( holdsAt(waterLevel(n3),X83)
        | X82 = tapOn
        | ~ happens(X82,X83) )
      & ( holdsAt(filling,X83)
        | X82 = tapOn
        | ~ happens(X82,X83) )
      & ( X82 = overflow
        | X82 = tapOn
        | ~ happens(X82,X83) )
      & ( holdsAt(waterLevel(n3),X83)
        | X83 = n0
        | ~ happens(X82,X83) )
      & ( holdsAt(filling,X83)
        | X83 = n0
        | ~ happens(X82,X83) )
      & ( X82 = overflow
        | X83 = n0
        | ~ happens(X82,X83) )
      & ( X82 != tapOn
        | X83 != n0
        | happens(X82,X83) )
      & ( ~ holdsAt(waterLevel(n3),X83)
        | ~ holdsAt(filling,X83)
        | X82 != overflow
        | happens(X82,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_51,plain,
    ! [X14,X15,X16,X19,X20,X21,X22,X23] :
      ( ( happens(esk1_3(X14,X15,X16),esk2_3(X14,X15,X16))
        | ~ stoppedIn(X14,X15,X16) )
      & ( less(X14,esk2_3(X14,X15,X16))
        | ~ stoppedIn(X14,X15,X16) )
      & ( less(esk2_3(X14,X15,X16),X16)
        | ~ stoppedIn(X14,X15,X16) )
      & ( terminates(esk1_3(X14,X15,X16),X15,esk2_3(X14,X15,X16))
        | ~ stoppedIn(X14,X15,X16) )
      & ( ~ happens(X22,X23)
        | ~ less(X19,X23)
        | ~ less(X23,X21)
        | ~ terminates(X22,X20,X23)
        | stoppedIn(X19,X20,X21) ) ),
    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])])])])])])]) ).

fof(c_0_52,plain,
    ! [X71,X72,X73] :
      ( ( X71 = overflow
        | X71 = tapOff
        | ~ terminates(X71,X72,X73) )
      & ( X72 = filling
        | X71 = tapOff
        | ~ terminates(X71,X72,X73) )
      & ( X71 = overflow
        | X72 = filling
        | ~ terminates(X71,X72,X73) )
      & ( X72 = filling
        | X72 = filling
        | ~ terminates(X71,X72,X73) )
      & ( X71 != tapOff
        | X72 != filling
        | terminates(X71,X72,X73) )
      & ( X71 != overflow
        | X72 != filling
        | terminates(X71,X72,X73) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[terminates_all_defn])])])]) ).

fof(c_0_53,plain,
    tapOff != overflow,
    inference(fof_simplification,[status(thm)],[tapOff_not_overflow]) ).

fof(c_0_54,plain,
    tapOff != tapOn,
    inference(fof_simplification,[status(thm)],[tapOff_not_tapOn]) ).

cnf(c_0_55,plain,
    ( less_or_equal(X1,n1)
    | ~ less(X1,n2) ),
    inference(split_conjunct,[status(thm)],[c_0_39]) ).

cnf(c_0_56,plain,
    ( X1 = n2
    | less(X1,n2)
    | ~ less(X1,n3) ),
    inference(spm,[status(thm)],[c_0_40,c_0_41]) ).

cnf(c_0_57,plain,
    ( less_or_equal(X1,n0)
    | ~ less(X1,n1) ),
    inference(split_conjunct,[status(thm)],[c_0_42]) ).

cnf(c_0_58,plain,
    ~ less(X1,n0),
    inference(split_conjunct,[status(thm)],[c_0_43]) ).

fof(c_0_59,plain,
    ! [X12] : filling != waterLevel(X12),
    inference(fof_simplification,[status(thm)],[filling_not_waterLevel]) ).

fof(c_0_60,plain,
    ! [X74,X75,X76,X78,X79,X80,X81] :
      ( ( X74 = tapOn
        | ~ releases(X74,X75,X76) )
      & ( X75 = waterLevel(esk9_2(X74,X75))
        | ~ releases(X74,X75,X76) )
      & ( X78 != tapOn
        | X79 != waterLevel(X80)
        | releases(X78,X79,X81) ) ),
    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_61,plain,
    ! [X53,X54] :
      ( ( happens(esk8_2(X53,X54),X54)
        | releasedAt(X53,X54)
        | ~ releasedAt(X53,plus(X54,n1)) )
      & ( releases(esk8_2(X53,X54),X53,X54)
        | releasedAt(X53,X54)
        | ~ releasedAt(X53,plus(X54,n1)) ) ),
    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_44])])])])]) ).

cnf(c_0_62,plain,
    ( holdsAt(X3,plus(X2,n1))
    | ~ happens(X1,X2)
    | ~ initiates(X1,X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_45]) ).

cnf(c_0_63,plain,
    ( initiates(X2,X1,X3)
    | ~ epred1_3(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_46]) ).

cnf(c_0_64,plain,
    ( epred1_3(X2,X1,X3)
    | X1 != tapOn
    | X2 != filling ),
    inference(split_conjunct,[status(thm)],[c_0_47]) ).

cnf(c_0_65,plain,
    ( ~ initiates(X1,X2,X3)
    | ~ happens(X1,X3)
    | ~ releasedAt(X2,plus(X3,n1)) ),
    inference(split_conjunct,[status(thm)],[c_0_48]) ).

cnf(c_0_66,plain,
    plus(X1,X2) = plus(X2,X1),
    inference(split_conjunct,[status(thm)],[c_0_49]) ).

cnf(c_0_67,plain,
    plus(n0,n1) = n1,
    inference(split_conjunct,[status(thm)],[plus0_1]) ).

fof(c_0_68,plain,
    ! [X88,X89,X90] :
      ( ~ holdsAt(waterLevel(X89),X88)
      | ~ holdsAt(waterLevel(X90),X88)
      | X89 = X90 ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[same_waterLevel])])]) ).

cnf(c_0_69,plain,
    ( X1 = overflow
    | X1 = tapOn
    | ~ happens(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_50]) ).

cnf(c_0_70,plain,
    ( happens(esk1_3(X1,X2,X3),esk2_3(X1,X2,X3))
    | ~ stoppedIn(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_51]) ).

cnf(c_0_71,plain,
    ( X1 = overflow
    | X1 = tapOff
    | ~ terminates(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_52]) ).

cnf(c_0_72,plain,
    ( terminates(esk1_3(X1,X2,X3),X2,esk2_3(X1,X2,X3))
    | ~ stoppedIn(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_51]) ).

fof(c_0_73,plain,
    tapOff != overflow,
    inference(fof_nnf,[status(thm)],[c_0_53]) ).

fof(c_0_74,plain,
    tapOff != tapOn,
    inference(fof_nnf,[status(thm)],[c_0_54]) ).

cnf(c_0_75,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_51]) ).

cnf(c_0_76,plain,
    ( X1 = n2
    | less_or_equal(X1,n1)
    | ~ less(X1,n3) ),
    inference(spm,[status(thm)],[c_0_55,c_0_56]) ).

cnf(c_0_77,plain,
    ( X1 = n0
    | ~ less(X1,n1) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_57]),c_0_58]) ).

cnf(c_0_78,plain,
    ( less(esk2_3(X1,X2,X3),X3)
    | ~ stoppedIn(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_51]) ).

fof(c_0_79,plain,
    ! [X91] : filling != waterLevel(X91),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_59])]) ).

cnf(c_0_80,plain,
    ( X1 = waterLevel(esk9_2(X2,X1))
    | ~ releases(X2,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_60]) ).

cnf(c_0_81,plain,
    ( releases(esk8_2(X1,X2),X1,X2)
    | releasedAt(X1,X2)
    | ~ releasedAt(X1,plus(X2,n1)) ),
    inference(split_conjunct,[status(thm)],[c_0_61]) ).

fof(c_0_82,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_83,plain,
    ( holdsAt(X1,plus(X2,n1))
    | ~ epred1_3(X1,X3,X2)
    | ~ happens(X3,X2) ),
    inference(spm,[status(thm)],[c_0_62,c_0_63]) ).

cnf(c_0_84,plain,
    epred1_3(filling,tapOn,X1),
    inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_64])]) ).

cnf(c_0_85,plain,
    ( ~ releasedAt(X1,plus(n1,X2))
    | ~ initiates(X3,X1,X2)
    | ~ happens(X3,X2) ),
    inference(spm,[status(thm)],[c_0_65,c_0_66]) ).

cnf(c_0_86,plain,
    plus(n1,n0) = n1,
    inference(rw,[status(thm)],[c_0_67,c_0_66]) ).

fof(c_0_87,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]) ).

cnf(c_0_88,plain,
    ( X1 = X3
    | ~ holdsAt(waterLevel(X1),X2)
    | ~ holdsAt(waterLevel(X3),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_68]) ).

cnf(c_0_89,hypothesis,
    holdsAt(waterLevel(n0),n0),
    inference(split_conjunct,[status(thm)],[waterLevel_0]) ).

cnf(c_0_90,plain,
    ( terminates(X1,X2,X3)
    | X1 != overflow
    | X2 != filling ),
    inference(split_conjunct,[status(thm)],[c_0_52]) ).

cnf(c_0_91,plain,
    ( esk1_3(X1,X2,X3) = overflow
    | esk1_3(X1,X2,X3) = tapOn
    | ~ stoppedIn(X1,X2,X3) ),
    inference(spm,[status(thm)],[c_0_69,c_0_70]) ).

cnf(c_0_92,plain,
    ( esk1_3(X1,X2,X3) = tapOff
    | esk1_3(X1,X2,X3) = overflow
    | ~ stoppedIn(X1,X2,X3) ),
    inference(spm,[status(thm)],[c_0_71,c_0_72]) ).

cnf(c_0_93,plain,
    tapOff != overflow,
    inference(split_conjunct,[status(thm)],[c_0_73]) ).

cnf(c_0_94,plain,
    tapOff != tapOn,
    inference(split_conjunct,[status(thm)],[c_0_74]) ).

fof(c_0_95,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_96,plain,
    ( stoppedIn(X1,X2,X3)
    | ~ less(X1,esk2_3(X4,X2,X5))
    | ~ less(esk2_3(X4,X2,X5),X3)
    | ~ stoppedIn(X4,X2,X5) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_72]),c_0_70]) ).

cnf(c_0_97,plain,
    ( less(X1,esk2_3(X1,X2,X3))
    | ~ stoppedIn(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_51]) ).

cnf(c_0_98,plain,
    ( X1 = n2
    | X1 = n1
    | less(X1,n1)
    | ~ less(X1,n3) ),
    inference(spm,[status(thm)],[c_0_40,c_0_76]) ).

cnf(c_0_99,plain,
    ( esk2_3(X1,X2,n1) = n0
    | ~ stoppedIn(X1,X2,n1) ),
    inference(spm,[status(thm)],[c_0_77,c_0_78]) ).

cnf(c_0_100,plain,
    filling != waterLevel(X1),
    inference(split_conjunct,[status(thm)],[c_0_79]) ).

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_80,c_0_81]) ).

fof(c_0_102,plain,
    ! [X44,X45] :
      ( ( happens(esk5_2(X44,X45),X45)
        | ~ holdsAt(X44,X45)
        | releasedAt(X44,plus(X45,n1))
        | holdsAt(X44,plus(X45,n1)) )
      & ( terminates(esk5_2(X44,X45),X44,X45)
        | ~ holdsAt(X44,X45)
        | releasedAt(X44,plus(X45,n1))
        | holdsAt(X44,plus(X45,n1)) ) ),
    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_82])])])])]) ).

cnf(c_0_103,plain,
    ( holdsAt(filling,plus(X1,n1))
    | ~ happens(tapOn,X1) ),
    inference(spm,[status(thm)],[c_0_83,c_0_84]) ).

cnf(c_0_104,plain,
    ( happens(X1,X2)
    | X1 != tapOn
    | X2 != n0 ),
    inference(split_conjunct,[status(thm)],[c_0_50]) ).

cnf(c_0_105,plain,
    ( ~ releasedAt(X1,n1)
    | ~ initiates(X2,X1,n0)
    | ~ happens(X2,n0) ),
    inference(spm,[status(thm)],[c_0_85,c_0_86]) ).

fof(c_0_106,plain,
    ! [X84,X85,X86,X87] :
      ( ~ holdsAt(waterLevel(X84),X85)
      | X86 != plus(X84,X87)
      | trajectory(filling,X85,waterLevel(X86),X87) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[change_of_waterLevel])])]) ).

fof(c_0_107,plain,
    ! [X47,X48] :
      ( ( happens(esk6_2(X47,X48),X48)
        | holdsAt(X47,X48)
        | releasedAt(X47,plus(X48,n1))
        | ~ holdsAt(X47,plus(X48,n1)) )
      & ( initiates(esk6_2(X47,X48),X47,X48)
        | holdsAt(X47,X48)
        | releasedAt(X47,plus(X48,n1))
        | ~ holdsAt(X47,plus(X48,n1)) ) ),
    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_87])])])])]) ).

cnf(c_0_108,hypothesis,
    ( X1 = n0
    | ~ holdsAt(waterLevel(X1),n0) ),
    inference(spm,[status(thm)],[c_0_88,c_0_89]) ).

cnf(c_0_109,plain,
    ( holdsAt(waterLevel(esk11_3(X1,X2,X3)),X1)
    | X2 = tapOff
    | X3 = spilling
    | X2 = tapOn
    | ~ epred1_3(X3,X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_47]) ).

cnf(c_0_110,plain,
    terminates(overflow,filling,X1),
    inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_90])]) ).

cnf(c_0_111,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_91,c_0_92]),c_0_93]),c_0_94]) ).

fof(c_0_112,plain,
    ! [X59,X60,X61] :
      ( ~ happens(X59,X60)
      | ~ terminates(X59,X61,X60)
      | ~ holdsAt(X61,plus(X60,n1)) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_95])])]) ).

cnf(c_0_113,plain,
    ( stoppedIn(X1,X2,X3)
    | ~ less(esk2_3(X1,X2,X4),X3)
    | ~ stoppedIn(X1,X2,X4) ),
    inference(spm,[status(thm)],[c_0_96,c_0_97]) ).

cnf(c_0_114,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_98,c_0_78]) ).

cnf(c_0_115,plain,
    ~ stoppedIn(X1,X2,n1),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_99]),c_0_58]) ).

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,
    ( 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_102]) ).

cnf(c_0_118,plain,
    ( holdsAt(filling,plus(n1,X1))
    | ~ happens(tapOn,X1) ),
    inference(spm,[status(thm)],[c_0_103,c_0_66]) ).

cnf(c_0_119,plain,
    happens(tapOn,n0),
    inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_104])]) ).

cnf(c_0_120,plain,
    ( ~ epred1_3(X1,X2,n0)
    | ~ releasedAt(X1,n1)
    | ~ happens(X2,n0) ),
    inference(spm,[status(thm)],[c_0_105,c_0_63]) ).

cnf(c_0_121,plain,
    ( trajectory(filling,X2,waterLevel(X3),X4)
    | ~ holdsAt(waterLevel(X1),X2)
    | X3 != plus(X1,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_106]) ).

cnf(c_0_122,plain,
    ( holdsAt(filling,X1)
    | X2 = tapOn
    | ~ happens(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_50]) ).

cnf(c_0_123,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_107]) ).

cnf(c_0_124,plain,
    ( X1 = waterLevel(esk11_3(X2,X3,X1))
    | X3 = tapOff
    | X1 = spilling
    | X3 = tapOn
    | ~ epred1_3(X1,X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_47]) ).

cnf(c_0_125,hypothesis,
    ( esk11_3(n0,X1,X2) = n0
    | X1 = tapOff
    | X1 = tapOn
    | X2 = spilling
    | ~ epred1_3(X2,X1,n0) ),
    inference(spm,[status(thm)],[c_0_108,c_0_109]) ).

cnf(c_0_126,plain,
    ( epred1_3(X2,X1,X3)
    | ~ initiates(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_46]) ).

cnf(c_0_127,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_107]) ).

fof(c_0_128,hypothesis,
    ~ releasedAt(filling,n0),
    inference(fof_simplification,[status(thm)],[not_released_filling_0]) ).

fof(c_0_129,hypothesis,
    ~ holdsAt(filling,n0),
    inference(fof_simplification,[status(thm)],[not_filling_0]) ).

fof(c_0_130,plain,
    filling != spilling,
    inference(fof_simplification,[status(thm)],[filling_not_spilling]) ).

fof(c_0_131,plain,
    overflow != tapOn,
    inference(fof_simplification,[status(thm)],[overflow_not_tapOn]) ).

cnf(c_0_132,plain,
    ( stoppedIn(X1,filling,X2)
    | ~ less(X1,X3)
    | ~ less(X3,X2)
    | ~ happens(overflow,X3) ),
    inference(spm,[status(thm)],[c_0_75,c_0_110]) ).

cnf(c_0_133,plain,
    ( happens(overflow,esk2_3(X1,X2,X3))
    | ~ stoppedIn(X1,X2,X3) ),
    inference(spm,[status(thm)],[c_0_70,c_0_111]) ).

cnf(c_0_134,plain,
    ( ~ happens(X1,X2)
    | ~ terminates(X1,X3,X2)
    | ~ holdsAt(X3,plus(X2,n1)) ),
    inference(split_conjunct,[status(thm)],[c_0_112]) ).

cnf(c_0_135,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_113,c_0_114]),c_0_115]) ).

cnf(c_0_136,plain,
    ( releasedAt(filling,X1)
    | ~ releasedAt(filling,plus(n1,X1)) ),
    inference(spm,[status(thm)],[c_0_116,c_0_66]) ).

cnf(c_0_137,plain,
    ( esk5_2(X1,X2) = overflow
    | esk5_2(X1,X2) = tapOn
    | releasedAt(X1,plus(X2,n1))
    | holdsAt(X1,plus(X2,n1))
    | ~ holdsAt(X1,X2) ),
    inference(spm,[status(thm)],[c_0_69,c_0_117]) ).

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

cnf(c_0_139,plain,
    holdsAt(filling,n1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_86]),c_0_119])]) ).

cnf(c_0_140,plain,
    ~ releasedAt(filling,n1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_84]),c_0_119])]) ).

cnf(c_0_141,plain,
    ( holdsAt(waterLevel(n3),X1)
    | X2 = tapOn
    | ~ happens(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_50]) ).

fof(c_0_142,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_143,plain,
    ( trajectory(filling,X1,waterLevel(plus(X2,X3)),X3)
    | ~ holdsAt(waterLevel(X2),X1) ),
    inference(er,[status(thm)],[c_0_121]) ).

cnf(c_0_144,plain,
    ( less_or_equal(X1,X2)
    | X1 != X2 ),
    inference(split_conjunct,[status(thm)],[c_0_35]) ).

cnf(c_0_145,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_122,c_0_123]) ).

cnf(c_0_146,plain,
    ( waterLevel(n0) = X1
    | X1 = spilling
    | X2 = tapOff
    | X2 = tapOn
    | ~ epred1_3(X1,X2,n0) ),
    inference(spm,[status(thm)],[c_0_124,c_0_125]) ).

cnf(c_0_147,plain,
    ( epred1_3(X1,esk6_2(X1,X2),X2)
    | releasedAt(X1,plus(X2,n1))
    | holdsAt(X1,X2)
    | ~ holdsAt(X1,plus(X2,n1)) ),
    inference(spm,[status(thm)],[c_0_126,c_0_127]) ).

fof(c_0_148,hypothesis,
    ~ releasedAt(filling,n0),
    inference(fof_nnf,[status(thm)],[c_0_128]) ).

fof(c_0_149,hypothesis,
    ~ holdsAt(filling,n0),
    inference(fof_nnf,[status(thm)],[c_0_129]) ).

fof(c_0_150,plain,
    filling != spilling,
    inference(fof_nnf,[status(thm)],[c_0_130]) ).

fof(c_0_151,plain,
    overflow != tapOn,
    inference(fof_nnf,[status(thm)],[c_0_131]) ).

cnf(c_0_152,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_132,c_0_133]) ).

fof(c_0_153,plain,
    ! [X24,X25,X26,X29,X30,X31,X32,X33] :
      ( ( happens(esk3_3(X24,X25,X26),esk4_3(X24,X25,X26))
        | ~ startedIn(X24,X26,X25) )
      & ( less(X24,esk4_3(X24,X25,X26))
        | ~ startedIn(X24,X26,X25) )
      & ( less(esk4_3(X24,X25,X26),X25)
        | ~ startedIn(X24,X26,X25) )
      & ( initiates(esk3_3(X24,X25,X26),X26,esk4_3(X24,X25,X26))
        | ~ startedIn(X24,X26,X25) )
      & ( ~ happens(X32,X33)
        | ~ less(X29,X33)
        | ~ less(X33,X30)
        | ~ initiates(X32,X31,X33)
        | startedIn(X29,X31,X30) ) ),
    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_154,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_134,c_0_72]),c_0_66]),c_0_70]) ).

cnf(c_0_155,plain,
    ( esk2_3(X1,X2,n3) = n1
    | happens(overflow,n2)
    | ~ stoppedIn(X1,X2,n3) ),
    inference(spm,[status(thm)],[c_0_133,c_0_135]) ).

fof(c_0_156,negated_conjecture,
    stoppedIn(n0,filling,n3),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[not_stopped_filling_0_3])]) ).

cnf(c_0_157,plain,
    ( esk5_2(filling,n1) = tapOn
    | esk5_2(filling,n1) = overflow
    | holdsAt(filling,n2) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_137]),c_0_138]),c_0_139])]),c_0_140]) ).

cnf(c_0_158,plain,
    ~ releasedAt(filling,n2),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_138]),c_0_140]) ).

cnf(c_0_159,plain,
    ( holdsAt(filling,n2)
    | ~ happens(tapOn,n1) ),
    inference(spm,[status(thm)],[c_0_103,c_0_138]) ).

cnf(c_0_160,plain,
    ( esk5_2(X1,X2) = tapOn
    | releasedAt(X1,plus(X2,n1))
    | holdsAt(X1,plus(X2,n1))
    | holdsAt(waterLevel(n3),X2)
    | ~ holdsAt(X1,X2) ),
    inference(spm,[status(thm)],[c_0_141,c_0_117]) ).

fof(c_0_161,plain,
    ! [X34,X35,X36,X37,X38] :
      ( ~ happens(X34,X35)
      | ~ initiates(X34,X36,X35)
      | ~ less(n0,X38)
      | ~ trajectory(X36,X35,X37,X38)
      | stoppedIn(X35,X36,plus(X35,X38))
      | holdsAt(X37,plus(X35,X38)) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_142])])]) ).

cnf(c_0_162,plain,
    ( trajectory(filling,X1,waterLevel(plus(X2,X3)),X2)
    | ~ holdsAt(waterLevel(X3),X1) ),
    inference(spm,[status(thm)],[c_0_143,c_0_66]) ).

cnf(c_0_163,plain,
    ( less(X1,n1)
    | ~ less_or_equal(X1,n0) ),
    inference(split_conjunct,[status(thm)],[c_0_42]) ).

cnf(c_0_164,plain,
    less_or_equal(X1,X1),
    inference(er,[status(thm)],[c_0_144]) ).

cnf(c_0_165,plain,
    ( esk6_2(filling,X1) = tapOn
    | releasedAt(filling,X1)
    | holdsAt(filling,X1)
    | ~ holdsAt(filling,plus(X1,n1)) ),
    inference(spm,[status(thm)],[c_0_116,c_0_145]) ).

cnf(c_0_166,plain,
    ( esk6_2(X1,n0) = tapOn
    | esk6_2(X1,n0) = tapOff
    | waterLevel(n0) = X1
    | X1 = spilling
    | releasedAt(X1,n1)
    | holdsAt(X1,n0)
    | ~ holdsAt(X1,n1) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_147]),c_0_66]),c_0_86]),c_0_66]),c_0_86]) ).

cnf(c_0_167,hypothesis,
    ~ releasedAt(filling,n0),
    inference(split_conjunct,[status(thm)],[c_0_148]) ).

cnf(c_0_168,hypothesis,
    ~ holdsAt(filling,n0),
    inference(split_conjunct,[status(thm)],[c_0_149]) ).

cnf(c_0_169,plain,
    filling != spilling,
    inference(split_conjunct,[status(thm)],[c_0_150]) ).

cnf(c_0_170,plain,
    overflow != tapOn,
    inference(split_conjunct,[status(thm)],[c_0_151]) ).

cnf(c_0_171,plain,
    ( less_or_equal(esk2_3(X1,X2,n2),n1)
    | ~ stoppedIn(X1,X2,n2) ),
    inference(spm,[status(thm)],[c_0_55,c_0_78]) ).

cnf(c_0_172,plain,
    ( stoppedIn(X1,filling,X2)
    | ~ less(esk2_3(X1,X3,X4),X2)
    | ~ stoppedIn(X1,X3,X4) ),
    inference(spm,[status(thm)],[c_0_152,c_0_97]) ).

cnf(c_0_173,plain,
    ( less(X1,n2)
    | ~ less_or_equal(X1,n1) ),
    inference(split_conjunct,[status(thm)],[c_0_39]) ).

cnf(c_0_174,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_153]) ).

cnf(c_0_175,plain,
    ( epred1_3(X2,X1,X3)
    | X1 != overflow
    | X2 != spilling ),
    inference(split_conjunct,[status(thm)],[c_0_47]) ).

cnf(c_0_176,plain,
    ( happens(overflow,n2)
    | ~ holdsAt(X1,n2)
    | ~ stoppedIn(X2,X1,n3) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_154,c_0_155]),c_0_138]) ).

cnf(c_0_177,negated_conjecture,
    stoppedIn(n0,filling,n3),
    inference(split_conjunct,[status(thm)],[c_0_156]) ).

cnf(c_0_178,plain,
    ( esk5_2(filling,n1) = overflow
    | holdsAt(filling,n2) ),
    inference(csr,[status(thm)],[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_117,c_0_157]),c_0_138]),c_0_138]),c_0_139])]),c_0_158]),c_0_159]) ).

cnf(c_0_179,plain,
    ( esk5_2(filling,n1) = tapOn
    | holdsAt(waterLevel(n3),n1)
    | holdsAt(filling,n2) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_160]),c_0_138]),c_0_139])]),c_0_140]) ).

cnf(c_0_180,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_161]) ).

cnf(c_0_181,plain,
    ( trajectory(filling,X1,waterLevel(n1),n1)
    | ~ holdsAt(waterLevel(n0),X1) ),
    inference(spm,[status(thm)],[c_0_162,c_0_86]) ).

cnf(c_0_182,plain,
    less(n0,n1),
    inference(spm,[status(thm)],[c_0_163,c_0_164]) ).

cnf(c_0_183,plain,
    esk6_2(filling,n0) = tapOn,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[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(spm,[status(thm)],[c_0_165,c_0_166]),c_0_66]),c_0_86]),c_0_139]),c_0_139])]),c_0_94]),c_0_167]),c_0_168]),c_0_100]),c_0_169]),c_0_140]) ).

cnf(c_0_184,plain,
    ( holdsAt(waterLevel(n3),esk2_3(X1,X2,X3))
    | ~ stoppedIn(X1,X2,X3) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_133]),c_0_170]) ).

cnf(c_0_185,plain,
    ( esk2_3(X1,X2,n2) = n1
    | less(esk2_3(X1,X2,n2),n1)
    | ~ stoppedIn(X1,X2,n2) ),
    inference(spm,[status(thm)],[c_0_40,c_0_171]) ).

cnf(c_0_186,plain,
    plus(n0,n2) = n2,
    inference(split_conjunct,[status(thm)],[plus0_2]) ).

cnf(c_0_187,plain,
    ( stoppedIn(X1,filling,n2)
    | ~ less_or_equal(esk2_3(X1,X2,X3),n1)
    | ~ stoppedIn(X1,X2,X3) ),
    inference(spm,[status(thm)],[c_0_172,c_0_173]) ).

cnf(c_0_188,plain,
    ( esk2_3(X1,X2,n3) = n1
    | less(X1,n2)
    | ~ stoppedIn(X1,X2,n3) ),
    inference(spm,[status(thm)],[c_0_97,c_0_135]) ).

cnf(c_0_189,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_174,c_0_63]) ).

cnf(c_0_190,plain,
    epred1_3(spilling,overflow,X1),
    inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_175])]) ).

cnf(c_0_191,negated_conjecture,
    ( happens(overflow,n2)
    | ~ holdsAt(filling,n2) ),
    inference(spm,[status(thm)],[c_0_176,c_0_177]) ).

cnf(c_0_192,plain,
    ( holdsAt(waterLevel(n3),n1)
    | holdsAt(filling,n2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_178,c_0_179]),c_0_170]) ).

cnf(c_0_193,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_180,c_0_181]),c_0_182])]) ).

cnf(c_0_194,plain,
    initiates(tapOn,filling,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_127,c_0_183]),c_0_66]),c_0_86]),c_0_66]),c_0_86]),c_0_139])]),c_0_140]),c_0_168]) ).

cnf(c_0_195,plain,
    ( X1 = n3
    | ~ holdsAt(waterLevel(X1),esk2_3(X2,X3,X4))
    | ~ stoppedIn(X2,X3,X4) ),
    inference(spm,[status(thm)],[c_0_88,c_0_184]) ).

cnf(c_0_196,plain,
    ( esk2_3(X1,X2,n2) = n1
    | ~ stoppedIn(X1,X2,n2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_185]),c_0_115]) ).

cnf(c_0_197,plain,
    ( trajectory(filling,X1,waterLevel(n2),n2)
    | ~ holdsAt(waterLevel(n0),X1) ),
    inference(spm,[status(thm)],[c_0_143,c_0_186]) ).

cnf(c_0_198,plain,
    ( less(X1,n2)
    | stoppedIn(X1,filling,n2)
    | ~ stoppedIn(X1,X2,n3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_187,c_0_188]),c_0_164])]) ).

cnf(c_0_199,plain,
    ( startedIn(X1,spilling,X2)
    | ~ less(X1,X3)
    | ~ less(X3,X2)
    | ~ happens(overflow,X3) ),
    inference(spm,[status(thm)],[c_0_189,c_0_190]) ).

cnf(c_0_200,negated_conjecture,
    ( holdsAt(waterLevel(n3),n2)
    | ~ holdsAt(filling,n2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_191]),c_0_170]) ).

cnf(c_0_201,plain,
    ( X1 = n3
    | holdsAt(filling,n2)
    | ~ holdsAt(waterLevel(X1),n1) ),
    inference(spm,[status(thm)],[c_0_88,c_0_192]) ).

cnf(c_0_202,plain,
    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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_193,c_0_194]),c_0_66]),c_0_86]),c_0_66]),c_0_86]),c_0_89]),c_0_119])]),c_0_115]) ).

cnf(c_0_203,plain,
    ( X1 = n3
    | ~ holdsAt(waterLevel(X1),n1)
    | ~ stoppedIn(X2,X3,n2) ),
    inference(spm,[status(thm)],[c_0_195,c_0_196]) ).

cnf(c_0_204,plain,
    ( holdsAt(waterLevel(n2),plus(X1,n2))
    | stoppedIn(X1,filling,plus(X1,n2))
    | ~ holdsAt(waterLevel(n0),X1)
    | ~ initiates(X2,filling,X1)
    | ~ less(n0,n2)
    | ~ happens(X2,X1) ),
    inference(spm,[status(thm)],[c_0_180,c_0_197]) ).

cnf(c_0_205,negated_conjecture,
    ( less(n0,n2)
    | stoppedIn(n0,filling,n2) ),
    inference(spm,[status(thm)],[c_0_198,c_0_177]) ).

fof(c_0_206,plain,
    ! [X12,X13] :
      ( less(X12,X13)
    <=> ( ~ less(X13,X12)
        & X13 != X12 ) ),
    inference(fof_simplification,[status(thm)],[less_property]) ).

cnf(c_0_207,plain,
    ( startedIn(X1,spilling,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_199,c_0_133]) ).

cnf(c_0_208,negated_conjecture,
    ( X1 = n3
    | ~ holdsAt(waterLevel(X1),n2)
    | ~ holdsAt(filling,n2) ),
    inference(spm,[status(thm)],[c_0_88,c_0_200]) ).

cnf(c_0_209,plain,
    ( n3 = n1
    | holdsAt(filling,n2) ),
    inference(spm,[status(thm)],[c_0_201,c_0_202]) ).

cnf(c_0_210,plain,
    ( n3 = n1
    | ~ stoppedIn(X1,X2,n2) ),
    inference(spm,[status(thm)],[c_0_203,c_0_202]) ).

cnf(c_0_211,plain,
    ( holdsAt(waterLevel(n2),n2)
    | stoppedIn(n0,filling,n2) ),
    inference(csr,[status(thm)],[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_204,c_0_194]),c_0_186]),c_0_186]),c_0_89]),c_0_119])]),c_0_205]) ).

fof(c_0_212,plain,
    ! [X109,X110] :
      ( ( ~ less(X110,X109)
        | ~ less(X109,X110) )
      & ( X110 != X109
        | ~ less(X109,X110) )
      & ( less(X110,X109)
        | X110 = X109
        | less(X109,X110) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_206])])])]) ).

cnf(c_0_213,plain,
    ( startedIn(X1,spilling,X2)
    | ~ less(esk2_3(X1,X3,X4),X2)
    | ~ stoppedIn(X1,X3,X4) ),
    inference(spm,[status(thm)],[c_0_207,c_0_97]) ).

cnf(c_0_214,plain,
    ( less(X1,n3)
    | ~ less_or_equal(X1,n2) ),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

cnf(c_0_215,negated_conjecture,
    ( n3 = n1
    | X1 = n3
    | ~ holdsAt(waterLevel(X1),n2) ),
    inference(spm,[status(thm)],[c_0_208,c_0_209]) ).

cnf(c_0_216,plain,
    ( n3 = n1
    | holdsAt(waterLevel(n2),n2) ),
    inference(spm,[status(thm)],[c_0_210,c_0_211]) ).

cnf(c_0_217,plain,
    ( X1 != X2
    | ~ less(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_212]) ).

cnf(c_0_218,plain,
    ( less(esk4_3(X1,X2,X3),X2)
    | ~ startedIn(X1,X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_153]) ).

cnf(c_0_219,plain,
    ( startedIn(X1,spilling,X2)
    | ~ stoppedIn(X1,X3,X2) ),
    inference(spm,[status(thm)],[c_0_213,c_0_78]) ).

cnf(c_0_220,plain,
    less(n2,n3),
    inference(spm,[status(thm)],[c_0_214,c_0_164]) ).

cnf(c_0_221,negated_conjecture,
    ( n2 = n3
    | n3 = n1 ),
    inference(spm,[status(thm)],[c_0_215,c_0_216]) ).

cnf(c_0_222,plain,
    ~ less(X1,X1),
    inference(er,[status(thm)],[c_0_217]) ).

cnf(c_0_223,plain,
    ( less(X1,esk4_3(X1,X2,X3))
    | ~ startedIn(X1,X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_153]) ).

cnf(c_0_224,plain,
    ( esk4_3(X1,n1,X2) = n0
    | ~ startedIn(X1,X2,n1) ),
    inference(spm,[status(thm)],[c_0_77,c_0_218]) ).

cnf(c_0_225,negated_conjecture,
    startedIn(n0,spilling,n3),
    inference(spm,[status(thm)],[c_0_219,c_0_177]) ).

cnf(c_0_226,negated_conjecture,
    n3 = n1,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_220,c_0_221]),c_0_222]) ).

cnf(c_0_227,plain,
    ~ startedIn(X1,X2,n1),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_223,c_0_224]),c_0_58]) ).

cnf(c_0_228,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_225,c_0_226]),c_0_227]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.10  % Problem    : CSR011+1 : TPTP v8.1.2. Bugfixed v3.1.0.
% 0.09/0.11  % Command    : run_E %s %d THM
% 0.11/0.32  % Computer : n020.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit   : 300
% 0.11/0.32  % WCLimit    : 300
% 0.11/0.32  % DateTime   : Fri May  3 14:19:08 EDT 2024
% 0.11/0.32  % CPUTime    : 
% 0.16/0.44  Running first-order model finding
% 0.16/0.44  Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.XFUy1lHUsm/E---3.1_10741.p
% 21.88/3.20  # Version: 3.1.0
% 21.88/3.20  # Preprocessing class: FSLSSMSMSSSNFFN.
% 21.88/3.20  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 21.88/3.20  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 21.88/3.20  # Starting new_bool_3 with 300s (1) cores
% 21.88/3.20  # Starting new_bool_1 with 300s (1) cores
% 21.88/3.20  # Starting sh5l with 300s (1) cores
% 21.88/3.20  # C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 10818 completed with status 0
% 21.88/3.20  # Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 21.88/3.20  # Preprocessing class: FSLSSMSMSSSNFFN.
% 21.88/3.20  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 21.88/3.20  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 21.88/3.20  # No SInE strategy applied
% 21.88/3.20  # Search class: FGHSF-FSLM32-SFFFFFNN
% 21.88/3.20  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 21.88/3.20  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2m with 811s (1) cores
% 21.88/3.20  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 21.88/3.20  # Starting new_bool_3 with 136s (1) cores
% 21.88/3.20  # Starting U----_116_C05_02_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN1 with 136s (1) cores
% 21.88/3.20  # Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 136s (1) cores
% 21.88/3.20  # C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 10825 completed with status 0
% 21.88/3.20  # Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 21.88/3.20  # Preprocessing class: FSLSSMSMSSSNFFN.
% 21.88/3.20  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 21.88/3.20  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 21.88/3.20  # No SInE strategy applied
% 21.88/3.20  # Search class: FGHSF-FSLM32-SFFFFFNN
% 21.88/3.20  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 21.88/3.20  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2m with 811s (1) cores
% 21.88/3.20  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 21.88/3.20  # Preprocessing time       : 0.002 s
% 21.88/3.20  # Presaturation interreduction done
% 21.88/3.20  
% 21.88/3.20  # Proof found!
% 21.88/3.20  # SZS status Theorem
% 21.88/3.20  # SZS output start CNFRefutation
% See solution above
% 21.88/3.20  # Parsed axioms                        : 55
% 21.88/3.20  # Removed by relevancy pruning/SinE    : 0
% 21.88/3.20  # Initial clauses                      : 137
% 21.88/3.20  # Removed in clause preprocessing      : 1
% 21.88/3.20  # Initial clauses in saturation        : 136
% 21.88/3.20  # Processed clauses                    : 18698
% 21.88/3.20  # ...of these trivial                  : 92
% 21.88/3.20  # ...subsumed                          : 14989
% 21.88/3.20  # ...remaining for further processing  : 3617
% 21.88/3.20  # Other redundant clauses eliminated   : 117
% 21.88/3.20  # Clauses deleted for lack of memory   : 0
% 21.88/3.20  # Backward-subsumed                    : 374
% 21.88/3.20  # Backward-rewritten                   : 895
% 21.88/3.20  # Generated clauses                    : 80856
% 21.88/3.20  # ...of the previous two non-redundant : 70711
% 21.88/3.20  # ...aggressively subsumed             : 0
% 21.88/3.20  # Contextual simplify-reflections      : 64
% 21.88/3.20  # Paramodulations                      : 80696
% 21.88/3.20  # Factorizations                       : 48
% 21.88/3.20  # NegExts                              : 0
% 21.88/3.20  # Equation resolutions                 : 120
% 21.88/3.20  # Disequality decompositions           : 0
% 21.88/3.20  # Total rewrite steps                  : 36130
% 21.88/3.20  # ...of those cached                   : 35994
% 21.88/3.20  # Propositional unsat checks           : 0
% 21.88/3.20  #    Propositional check models        : 0
% 21.88/3.20  #    Propositional check unsatisfiable : 0
% 21.88/3.20  #    Propositional clauses             : 0
% 21.88/3.20  #    Propositional clauses after purity: 0
% 21.88/3.20  #    Propositional unsat core size     : 0
% 21.88/3.20  #    Propositional preprocessing time  : 0.000
% 21.88/3.20  #    Propositional encoding time       : 0.000
% 21.88/3.20  #    Propositional solver time         : 0.000
% 21.88/3.20  #    Success case prop preproc time    : 0.000
% 21.88/3.20  #    Success case prop encoding time   : 0.000
% 21.88/3.20  #    Success case prop solver time     : 0.000
% 21.88/3.20  # Current number of processed clauses  : 2220
% 21.88/3.20  #    Positive orientable unit clauses  : 42
% 21.88/3.20  #    Positive unorientable unit clauses: 1
% 21.88/3.20  #    Negative unit clauses             : 103
% 21.88/3.20  #    Non-unit-clauses                  : 2074
% 21.88/3.20  # Current number of unprocessed clauses: 50428
% 21.88/3.20  # ...number of literals in the above   : 354783
% 21.88/3.20  # Current number of archived formulas  : 0
% 21.88/3.20  # Current number of archived clauses   : 1385
% 21.88/3.20  # Clause-clause subsumption calls (NU) : 2667871
% 21.88/3.20  # Rec. Clause-clause subsumption calls : 734661
% 21.88/3.20  # Non-unit clause-clause subsumptions  : 8769
% 21.88/3.20  # Unit Clause-clause subsumption calls : 33525
% 21.88/3.20  # Rewrite failures with RHS unbound    : 0
% 21.88/3.20  # BW rewrite match attempts            : 96
% 21.88/3.20  # BW rewrite match successes           : 50
% 21.88/3.20  # Condensation attempts                : 0
% 21.88/3.20  # Condensation successes               : 0
% 21.88/3.20  # Termbank termtop insertions          : 1531413
% 21.88/3.20  # Search garbage collected termcells   : 1497
% 21.88/3.20  
% 21.88/3.20  # -------------------------------------------------
% 21.88/3.20  # User time                : 2.657 s
% 21.88/3.20  # System time              : 0.052 s
% 21.88/3.20  # Total time               : 2.710 s
% 21.88/3.20  # Maximum resident set size: 2184 pages
% 21.88/3.20  
% 21.88/3.20  # -------------------------------------------------
% 21.88/3.20  # User time                : 13.357 s
% 21.88/3.20  # System time              : 0.203 s
% 21.88/3.20  # Total time               : 13.561 s
% 21.88/3.20  # Maximum resident set size: 1748 pages
% 21.88/3.20  % E---3.1 exiting
%------------------------------------------------------------------------------